Please help!
Graph y = 3x + 7

Please Help!Graph Y = 3x + 7

Answers

Answer 1

Answer:
in attached image :)

Please Help!Graph Y = 3x + 7

Related Questions

In this figure, sin < ___ and cos

Answers

42 , 16 values of sin and cos

What is sin formula?

Let's review some information regarding the sin function before learning the sin formula. The sine function, often known as the sin function, is a periodic function in trigonometry. The ratio of the hypotenuse's length to the perpendicular's length in a right-angled triangle is another way to describe the sine function. Sin is a periodic function that has a period of 2 and a domain and range of (, ), respectively. To determine the sides of a triangle, use the sin formula.

The Sin Formula: What Is It? The ratio of the perpendicular of a right-angled triangle to the hypotenuse is known as the sine of the angle. The following is the sin formula: sin = Perpendicular / Hypotenuse

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Which sign makes the following statement true? -1/5 _____ -1/2

Answers

The sign that makes the following statement  -1/5 _____ -1/2 true is <. Option 1

What are inequalities?

Inequalities are simply described as a relation that makes a non-equal comparison between two numbers mathematical expressions.

Inequalities are mostly used in comparing two numbers on the number line based on their size.

Mathematically signs used for the representation are;

< represents less than> represents greater than≤ represents greater than or equal to≥ represents less than or equal to

From the information given, we have that;

-1/5 is not equal to -1/2

Thjs is so because smaller numbers on the negative side of the number line are greater than the larger numbers.

Thus, the sign is <

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HELP ME OUT PLEASE!!!!!!!

Simplify​

Answers

Answer:

I believe it is -2a⁶b¹² (the first option)

Jaden has learned to play 18 1⁄4 of the measures for Fur Elise on the piano. If the song is composed of 108 measures, how many more measures does she have to learn?

Answers

Answer:108-8 1/4=89 3/4 Jaden has 89 3/4 measures they still need to learn

Step-by-step explanation:

Answer: 89 3/4

Step-by-step explanation: Jaden played 18 1/4 of the measures and the total of Fur Elise is 108 measures. If you do 108 - 18 1/4 it would be 89 3/4. We did this because the total was 108 and we wanted to know how much of fur elise is left after we played 18 1/4.

Use tape diagrams to solve these ratio problems.
1. The sport court donated helmets and
footballs to the youth club in the ratio 3:7.
There were 60 pieces of sports equipment
altogether. How many more footballs were
donated than helmets?

Answers

24 more footballs were donated than helmets in the given ratio problem.

What is ratio?

Ratio refers to the quotient of two values. The expression a:b or a/b can be used to represent the ratio of a to b. A is the antecedent and b is the consequent in both scenarios. Every time we make comparisons, ratios appear.

For simplicity, they are typically expressed in the simplest terms. In a school with 1,000 students and 50 teachers, there are 20 students for every teacher.

The golden ratio of classical architecture is an example of an aspect ratio, which is the ratio of a rectangle's width to height. A proportion is an equation that results from setting two ratios equal to one another.

Lets 3x be the no. of helmet and 7x be football distributed.

total pieces = 3x + 7x

3x + 7x = 60

10x = 60

x = 60/10

x = 6

3x = 3(6) = 18

7x = 7(6) = 42

Difference = 42 - 18

                  = 24

Thus, 24 more footballs were donated than helmets in the given ratio problem.

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A sequence is shown below.

8.0, 6.5, 5.0, 3.5, . . .

In the recursive formula for the sequence, if an=−4.0 , what is the value of an+1 ?

A
–2.5

B
–5.5

C
–6.0

D
–3.0

Answers

The value of the sequence aₙ₊₁ is -5.5

How to determine the value of the sequence

The definition of the sequence is given as

8.0, 6.5, 5.0, 3.5, . . .

The above definitions imply that we simply subtract 1.5 from the previous term to get the current term

Using the above as a guide,

So, we have the following representation

aₙ₊₁ = aₙ - 1.5

From the question, we have

aₙ = -4.0

Substitute the known values in the above equation, so, we have the following representation

aₙ₊₁ = -4.0 - 1.5

Evaluate

aₙ₊₁ = -5.5

Hence, the value of aₙ₊₁ is -5.5

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Aria invested $40,000 in an account paying an interest rate of 8\tfrac{3}{8}8 8 3 ​ % compounded daily. Olivia invested $40,000 in an account paying an interest rate of 8\tfrac{1}{8}8 8 1 ​ % compounded quarterly. To the nearest hundredth of a year, how much longer would it take for Olivia's money to triple than for Aria's money to triple?

Answers

To the nearest hundredth of a year (period), it will take Olivia's money 0.54 years more to triple than Aria's money to triple.

How the period is determined?

The additional period it will take Olivia's money to triple than Aria's is determined as the difference between the two investment periods.

The investment periods are computed using an online finance calculator as follows:

Aria Investment:

I/Y (Interest per year) = 8.375%

PV (Present Value) = $40,000

PMT (Periodic Payment) = $0

FV (Future Value) = $-120000

Results:

Number of Periods (N) = 4,788.531

= 13.119 years (4,788.531/365) or 13 years and 1 month

Total Interest = $80,000.00

Olivia's Investment:

I/Y (Interest per year) = 8.125%

PV (Present Value) = $40,000

PMT (Periodic Payment) = $0

FV (Future Value) = $-120000

Results:

N = 54.633

= 13.65825 years (54.633 quarters/4) or 13 years and 8 months

Total Interest $80,000.00

The difference in investment period:

13.66 - 13.12

= 0.54 years

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−12x−(12x+4)+12=17x−6(3x+56) [Can someone pls tell me what x equal..]

Answers

The value of x is 14.957.

What is an Equation?

An equation is the statement of two expressions located on two sides connected with an equal to sign.

The equation is given as,

-12x - (12x + 4) + 12 = 17x - 6(3x + 56)

Since the sign is negative outside the bracket on the left hand side, the signs of terms inside the bracket becomes the opposite of what it has.

-12x - 12x - 4 + 12 = 17x - 6(3x + 56)

Applying the distributive property for the term 6(3x + 56), we get,

-12x - 12x - 4 + 12 = 17x - [(6 × 3x) + (6 × 56)]

-12x - 12x - 4 + 12 = 17x - (18x + 336)

Removing brackets,

-12x - 12x - 4 + 12 = 17x - 18x - 336

Taking all the like terms to separate sides,

-12x - 12x - 17x + 18x = 4 - 12 - 336

-23x = -344

x = -344 / -23

x = 14.957

Hence the value of x for the given equation is 14.957.

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The perimeter of the rectangular base of a monument is 230.5 feet. If the width is equal to its​ length, what are the dimensions of the​ base?

The width of the base is ____ feet
The length of the base is ____ feet

Answers

The width of the base is __57.625__ feet

The length of the base is __57.625__ feet

What is rectangle?

A rectangle is a closed two-dimensional figure with four sides. The opposite sides of a rectangle are equal and parallel to each other and all the angles of a rectangle are equal to 90°.

Given,

Perimeter of the rectangular base of a monument is 230.5 feet.

width is equal to its​ length

Perimeter of rectangle = 2 (length + width)

230.5 = 2 (length + length)

4 length = 230.5

length = 230.5/4

length = 57.625 feet

thus, width = 57.625 feet

Hence,

57.625 feet is the length of rectangular base.

57.625 feet is the width of rectangular base.

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solve the system
2x+y-3z=0
x-4y+z=0
4x+16y+4z=0

Answers

Answer:

x=0

y=0

z=0

Step-by-step explanation:

problem 1.9. (know your theory) write the precise definition of the following: (1) {xn}nn0 is a sequence of reals. (2) give an example of a sequence of rational numbers. (3) (give the recursive definition of) p ` i

Answers

1)  A sequence of real numbers is an ordered list of real numbers where each number in the list is assigned a specific position or index, usually denoted by n. The sequence is denoted by {xn} n>n0, where xn represents the nth term of the sequence and n ranges from 0 to infinity.

2)An example of a sequence of rational numbers is {2, 1.5, -0.5, -1.25, ...}, where each term in the sequence is a rational number.

3) The recursive definition of the summation of ai is a mathematical formula that defines the nth term of the summation in terms of the previous terms. It is typically denoted as:

∑(i=1)^ni = a1 + (a2 + (a3 + ....(an-1 + an)...)),

Where a1 is the first term of the summation, a2 is the second term, and so on and so forth. This recursive definition is used to calculate the nth term of the summation by adding the previous term to the current term. It is generally used in mathematical induction and recursion.

4)The associative property of summation notation states that the order in which the summation is performed does not affect the final result. In other words, for any three indices a, b, and c, and any sequence of numbers {xn}, the following equation holds:

∑(a=b)c xn = ∑(a=c)b xn = ∑(a=b)c xn

This property allows us to group the terms in a summation in different ways without changing the final result.

5) The translation invariance property of summation notation states that the value of a summation is unchanged when the index of summation is translated (shifted) by a constant value. In other words, for any indices a and b, any constant k, and any sequence of numbers {xn}, the following equation holds:

∑(a=b)xn = ∑(a+k=b+k)xn

This property allows us to shift the index of summation without affecting the final result of the summation.

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Question 39 of 40
Simplify the expression below. If your answer is not a whole number, enter it
as a fraction in lowest terms, using the slash mark (/) as the fraction bar.

8 divided by (4-6) - 15 divided (-5)

Answers

Answer: its -1

Step-by-step explanation:

Nya rode her bike about 2 ½ miles in ¼ hour. What was her average speed in miles per hour?

Answers

Nya's average speed was 10 miles per hour.

What is the speed, distance, and time?

Speed, distance, and time are related concepts in physics that are used to measure and describe motion.

Speed is a measure of how fast an object is moving. It is typically measured in units of distance per unit of time, such as miles per hour or kilometers per hour. Speed can be calculated using the formula:

Speed = Distance / Time

To find Nya's average speed in miles per hour, we need to divide the distance she traveled by the time it took her to travel that distance.

Average speed = distance/time

We know that Nya rode her bike 2 ½ miles in ¼ hour. To use these measurements in the formula, we need to convert the units to the same unit of measurement. In this case, we need to convert the distance to miles and the time to hours.

Average speed = (2.5 miles) / (0.25 hour)

To find out the speed in miles per hour, you need to multiply by the conversion factor 1 hour/60 minutes, so

Average speed = (2.5 miles) / (0.25 hour) * (1 hour/60 minutes)

Average speed = (2.5 miles) / (0.25 hour) * (4)

Average speed = 10 miles per hour.

Hence, Nya's average speed was 10 miles per hour.

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Rewrite (6+3)9 using the distribute property of multiplication over addition
(2)9
6(9)-3(9)
(9)9
6(9)+3(9)

Answers

[tex]\huge\text{Hey there!}[/tex]


[tex]\mathsf{(6 + 3)9}\leftarrow\text{Your given equation}\\\mathsf{= 9(6 + 3)}\leftarrow\text{Convert your equation to this to make it easier to solve}\\\mathsf{= 9(6) + 9(3)}\leftarrow\text{What you are looking for because it is your answer to this question}\\\mathsf{= 54 + 27}\leftarrow\text{Making it more easier to solve for the overall answer} \\\mathsf{= 81}\leftarrow\text{This is your overall answer to the whole equation}[/tex]


[tex]\huge\text{Therefore, your answer should be:}[/tex]

[tex]\huge\boxed{\mathsf{Option\ D. \ 6(9) + 3(9)}}\huge\checkmark[/tex]


[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]


~[tex]\frak{Amphitrite1040:)}[/tex]

The general strategy for solving an equation of the form x/a=b is to?

Answers

We have discussed the general strategy for solving an equation of the form x/a = b.

What is an equation?

An equation is a mathematical statement that shows that two expressions are equal. An equation is composed of two sides, separated by an equal sign (=), with each side containing one or more variables, numbers, and/or mathematical operations.

The general strategy for solving an equation of the form x/a = b is to:

Multiply both sides of the equation by a, in order to cancel out the fraction on the left side. This will isolate the variable x on one side of the equation.

Simplify the equation by combining like terms if necessary.

Check the solution by substituting it back into the original equation and verifying that it makes the equation true.

For example, consider the equation x/2 = 4

Multiply both sides by 2: x/2 * 2 = 4 * 2

x = 8

To check the solution, substitute it back into the original equation: x/2 = 4, 8/2 = 4. The equation is true, so x = 8 is the correct solution.

It's important to keep in mind that when solving equations, it is important to follow the order of operations, and also to be careful when dividing or multiplying by zero.

Hence, we have discussed the general strategy for solving the equation.

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How to solve the inequality:
-6 > z/-2 +1

Answers

The solution to the inequality is z > 14

What is inequality?

Mathematical expressions with inequalities include those in which the two sides are not equivalent. Contrary to equations, we assess and contrast two values in inequality. The inequality signs that are used in place of the equal signs are:

Less than (or less than or equal to), Larger than (or greater than or equal to), or Not equal to.

Given:

-6 > z/-2 + 1

Rewrite so "z" is on the left side of the inequality.

z/-2 + 1 <  -6

Move the negative in front of the fraction.

-z/2 + 1 < -6

Move all terms not containing z to the right side of the inequality.

-z/2 < - 6 - 1

-z/2 < - 7

Multiply both sides by 2

z < -14

Interchange the sign since z cannot be negative;

z > 14

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In June, Lupita saved $115 for retirement. In July, she saved $165. To the nearest percent, what was the increase in Lupita's retirement savings from June to July?

Answers

The increase in Lupita's retirement savings from June to July to the nearest percentage is 44%.

What is percentage?

A value or ratio that may be stated as a fraction of 100 is referred to as a percentage in mathematics. If we need to calculate a percentage of a number, we should divide it by its entirety and then multiply it by 100. The percentage therefore refers to a part per hundred.

It is given that the initial amount of money Lupita had in June is $115

In July the amount of money Lupita saved increased to $165

We are asked to find this increase in money as a percentage.

Increase in percentage

= {(Final amount of money - Initial amount of money) / Initial amount of money } × 100

=  {(165 - 115) / 115 } × 100 = 43.48%. ≈ 44%

Therefore the increase in amount of money saved as percentage is 44%.

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Write in standard form an equation of the line with the given slope through the given point.

Slope=2/5; (6,7)

Answers

Answer:

6x+7y=2/5

im not entirely sure if its correct sorry if u get it wrong-

What is the quotient of -4/5-2

Answers

Answer:

-1.3

Step-by-step explanation:


A certain type of concrete mix is designed to withstand 3000 pounds per square inch (psi) of pressure. The concrete is poured into casting cylinders and allowed to set for 28 days. The
concrete's strength is then measured. The following data represent the strength of nine randomly selected casts (in psi). Compute the mean, median, and mode strength of the
concrete (in psi).
3960 4050 3170 3080 2940 3830 4050 4060 3810
Select the com
below:
the answer box to complete your choice

Answers

PSI stands for Pounds per Square Inch, and it's the unit of measurement that reflects the air pressure inside your tire.

What is PSI example?For example, a bicycle tire pumped up to 65 psig in a local atmospheric pressure at sea level (14.7 psi) will have a pressure of 79.7 psia (14.7 psi + 65 psi). When gauge pressure is referenced to something other than ambient atmospheric pressure, then the unit would be pound per square inch differential (psid).Pounds per square inchPounds per square inch or PSI is an imperial unit of pressure. Using the imperial units of pounds and square inches, it is a measure of force per unit area. Therefore, 1 PSI is measured as one pound of force applied per one square inch.

Given the data representation of the strength of nine randomly selected casts​ (in psi) as 3960, 4090, 3200, 3100, 2940, 3830, 4090, 4040, 3780.

Mean is the average of the samples

[tex]x={3960+4050+3170+3080+2940+3830+ 4050+4060+3810}[/tex]

x=32950/9

x=3661

is thw sum of the given data

N is the sample size

is the mean

Hence the mean of the data is 3,670psi

MEDIAN

Median is the value at the middle of the data after rearrangement.

On rearranging in ascending order

2940, 3100, 3200, 3,780) 3,830 (3,960, 4040, 4090, 4090

It can be seen that the middle value is 3860. Hence the median of the data is 3860psi.

MODE

Mode is the most occurring data in the dataset. It is the data with the highest frequency. From the data, it can be seen that the only data occurring most (twice) is 4090, hence the modal value is 4090psi

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z-2<22 solve the inequality for z

Answers

The factor z-8 is less than zero when z<8. Similarly, the factor z-3 is less than zero when z>3. Combining the two solutions,[tex]$z \in(3,8)$[/tex]

.

What is meant by inequality?A connection in mathematics that compares two numbers or other mathematical expressions in an unequal way is known as an inequality. It is most frequently used to compare the sizes of two numbers on the number line. A relationship between two expressions or values that is not equal to each other is known as inequality in mathematics. So inequality emerges from an imbalance. You can solve an inequality by: adding the same amount to each side; taking the same amount away from each side; multiplying or dividing each side by the same positive amount. The inequality symbol needs to be turned around if you multiply or divide each side by a negative number.

Given inequality:

[tex]$$z^2-11 z+24 < 0$$[/tex]

Factor the left-hand side.

[tex]z^2-11 z+24 & < 0 \\[/tex]

[tex]z^2-8 z-3 z+24 & < 0 \\[/tex]

[tex]z(z-8)-3(z-8) & < 0 \\[/tex]

[tex](z-8)(z-3) & < 0[/tex]

The factor z-8 is less than zero when z<8. Similarly, the factor z-3 is less than zero when z>3. Combining the two solutions,[tex]$z \in(3,8)$[/tex].

The complete question is,

Solve the following inequality:

[tex]$$z^2-11 z+24 < 0$$[/tex]

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I need help with this

Answers

Answer:


3.Ans
4 is the thousands place value in the number 524,897,123.

The value of the digit 4 would be 4,000,000.

Calculation: 4 x 1,000,000 = 4,000,000


4.Ans

The product of (6*5)*10^3 is 3000. This product has 3 zeroes.

as cordenadas do vertice da funcao y=x2-2x-3

Answers

Para encontrar as coordenadas do vértice de uma função do tipo y = x² - 2x - 3, podemos seguir os seguintes passos:

Calcular o valor da coordenada x do vértice: para isso, precisamos encontrar o valor de x quando o coeficiente do x na função é igual a zero. Neste caso, temos x² - 2x - 3 = 0. Então, para encontrar x, podemos factorizar esse polinômio e encontrar as raízes: (x-3)(x+1) = 0. Isso nos dá x = 3 ou x = -1. Como estamos procurando o vértice, que é o ponto mais alto ou mais baixo da parábola, descartamos x = -1 e ficamos com x = 3.

Calcular o valor da coordenada y do vértice: agora que temos o valor de x, podemos substituí-lo na função original e calcular o valor de y. Neste caso, temos: y = (3)² - 2(3) - 3 = 9 - 6 - 3 = 0.

Portanto, as coordenadas do vértice da função y = x² - 2x - 3 são (3, 0).

Answer:

Step-by-step explanation:

(x) = x²-2x-3.

a=1 b=-2 c=-3.

Xv = -b/2a = -(-2)/2 = 1.

Yv = -Δ/4a Δ =(2²-(4.(-3))) = 16 -16/4 = -4

Vertex ( 1 , -4 )

Differentiating

f(x) = x²-2x-3.

f '(x) = 2x-2

2x-2 = 0

x=1. Xv = 1.

f(1) = x²-2x-3.  

1-2-3 = -4. Yv = -4.    

Please help me with this question.

Answers

The limits to the function are given as follows:

a) lim x -> -5 f(x) = 10.

b) lim x -> 5 f(x) = -5.

How to calculate the limit of a function?

The first step in calculating the limit of a function is calculating the numeric value of the function at the value of x which the function approaches.

As the function in this problem does not have discontinuities at the values of x = -5 and x = 5, the limits are in fact given by the numeric values at these points.

The limits are given as follows:

a) lim x -> -5 f(x) = 10. -> as the graph passes through the point (-5,10).

b) lim x -> 5 f(x) = -5. -> as the graph passes through the point (5,-5).

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pleasee hellppp

-9=6m+15

solution:
check:

Answers

The solution to the equation -9 = 6m + 15 is m = -4.

What is the solution to the given equation?

Given the equation in the question;

-9 = 6m + 15

Rewrite the equation as 6m + 15 = -9

Move all terms not containing m to the right side of the equation by subtracting 15 from both sides

6m + 15 - 15 = -9 - 15

6m = -9 - 15

Add -9 and -15

6m = -24

Divide both sides by 6

6m/6 = -24/6

m = -24/6

m = -4

Solution check

Plug m = -4 into the equation and check

-9 = 6m + 15

-9 = 6( -4 ) + 15

-9 = -24 + 15

-9 = -9

Correct.

Therefore, the numerical value of m is -4.

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four granola bars and three drinks cost $12.50. Two granola bars and five drinks cost $15.00. At Snacks To Go, three granola bars and three drinks cost $10.50. Four granola bars and two drinks cost $10.00. Part A Write a system of equations for each concession stand that models the price of its items. Part B Solve each system of equations. What do the solutions represent? Part C You decide to open a new concessions stand and sell granola bars and drinks. Determine a price for each item that differ from the prices at Snacks To Go. Then write a system of equations to model the prices at your snack bar.

Answers

Using substitution method to solve the system of linear equations, the granola and drinks cost $1.25 and $2.5 respectively while the modelled system of linear equation is attached below

What is System of Linear Equation

A grouping of two or more linear equations that share the same set of variables is known as a system of linear equations. When a, b, and c are constants and x and y are variables, the equations can be written as ax + by = c. Elimination, substitution, and graphing are just a few of the techniques that can be used to solve these problems.

In this given problem, we have to define our variables and then set our system of equations.

a)

Let;

x = granola bardrinks

2x + 5y = 15 ...eq(i)

4x + 3y = 12.50 ...eq(ii)

b)

Using substitution method;

From equ(i)

2x + 5y = 15

2x = 15 - 5y

x = (15 - 5y) / 2 ...eq(iii)

Put eq(iii) into eq(ii)

4x + 3y = 12.50

4(15 - 5y) /2 + 3y = 12.50

y = 2.5

Put y = 2.5 into eq(i)

2x + 5(2.5) = 15

x = 1.25

c)

Granola = 1.0

drinks = 3.0

The system of linear equations will be

x + y = 4

2x + 3y = 11

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match the volume formula to the description

Answers

Answer:

145236 4236. b. fjdjfjfjfjfjdjfjfjfjfjfnfjfjfjfnfjgjfjfnfjf

60th term of -28 -45 -62

Answers

Answer:

-79

Step-by-step explanation:

First Identify the sequence

-28 to -45 is -17

-45 to -62 is -17

This is an Arithmetic Sequence because it is constant

(Constant ; same throughout)

Two Formulas:

a60=28 -45 -62

or

an= -17(60)-11

Ridge City is smaller than Peak City. Desert City is smaller than Peak City but larger than Ridge City. Peak City is smaller than Oak City. Which city is the largest?

Answers

Answer:

Desert city is the largest city.

The doctor has ordered a 5% saline solution to be prepared. How many grams of pure drug will be needed to make 115 mL of solution at the 5% strength?

Answers

Answer:

(115 x 5) / 100 = 0.575 grams of the pure drug.

Step-by-step explanation:

To make a 5% solution, the concentration of the pure drug is 5 grams per 100 mL of solution.

To find the amount of pure drug needed for a specific volume, such as 115 mL, you can use the formula:

(volume of solution x concentration of pure drug) / 100

So in this case:

(115 x 5) / 100 = 0.575 grams of the pure drug.

This calculation shows that 0.575 grams of the pure drug would be needed to make 115 mL of a 5% solution.

Answer:

5.75 g

Step-by-step explanation:

First calculate 5% of the total amount of solution, 115 ml:

[tex]\implies \sf 5\%\;of\;115\;ml=\dfrac{5}{100} \times 115=5.75\;ml[/tex]

As we have not been told any information about the drug, assume the standard equivalent that 1 ml equals 1 gram.  Therefore, the amount of pure drug needed to make 115 ml of solution at the 5% strength is 5.75 g.

Other Questions
This table contains equivalent ratios between x and yx681012y346Enter the missing value from the table. Using the formula below, determine the monthly payment on a 5 year car loan with a monthly percentage rate of 0.625% for a car with an original cost of $21,000 and a $1,000 down payment, to the nearest cent.Pn = PMT ((1-(1+i)-n)/i)Pn= present amount borrowedn= number of monthly pay periodsPMT= monthly paymenti= interest rate per month A technician needs to boot macOS over the network using an image stored on a server.What Apple technology will best assist the technician? ibms watson discovery service is intended to decrease the amount of time analysts have to spend organizing and ________ data. which equation represents the graph below? Which of the following are types of heuristics in social information processing? (Choose every correct answer.)Multiple select question.The false consensus effectSocial phobiaExtraversionStereotypes a 45kg glider due ne, with acceleration of 2m/s?while the wind exerts a force of 450n toward west. how much work does the wind do? Consider a cap-and-trade policy whereby the government of the firms home country issues tradable emission permits to the firms. Each firm is issued 10 permits. Each permit allows a firm to emit one unit of pollution. Firms can buy or sell permits. A firms production must equal permits on hand after trading plus abatement. A firm is fined $70 for each unit of production that exceeds permits on hand plus abatement. I need help with these 4 and 5 questionsMarket StructureParticipants: The firms are assigned a number. Odd numbered firms differ from even numbered firms in their abatement costs. Otherwise firms are the same.Output market: The firms operate in the same country. Each firm produces the same product. Total home country production is small relative to global production so the firms take the market price of 40 per unit of output as given.Production: Each firms production cost associated with Q units of output is C(Q) = Q up to a capacity of 20 (all firms have the same cost function and same capacity constraint). Marginal cost is constant at 1.Pollution: Each unit of output produces one unit of pollution.Pollution abatement: A firm can reduce its emissions by investing in pollution abatement. For odd-numbered firms, the cost of reducing pollution by A units is CoddA (A) = 3A2. For even-numbered firms, the cost is . Thus, oddnumbered firms have relatively higher abatement costs than even-numbered firms. Marginal abatement costs are 6A for odd-numbered firms and 2A for even-numbered firms.Simplification: There are the same number of odd and even firms. Thus, you can assume that there are only two firms, Firm 1 and Firm 2, to answer the questions that follow.No regulationSuppose there is no environmental regulation. What quantity will each firm produce? How much will each firm choose to abate? What will be the profit of each firm?Emission capSuppose the government of the firms home country institutes a cap on emissions of 10 units, with each unit of pollution in excess of this limit fined at a rate of 70/unit. A firms pollution associated with output Q is Q A. To avoid the fine, a firm must have Q A 10. What quantity will each firm produce? How much will each firm choose to abate? What will be the profit of each firm? How do we ensure that future technologies are fair to society? Responses Encourage IT professionals to apply current laws and regulations. Encourage IT professionals to apply current laws and regulations. IT professionals and governments must follow ethical principles in the creation of new technology. IT professionals and governments must follow ethical principles in the creation of new technology. Allow the IT industry to regulate itself. Allow the IT industry to regulate itself. It is not possible to utilize ethical principles when creating new technology. It is not possible to utilize ethical principles when creating new technology. what force needs to be applied to a gift box if its momentum decreases by 0.444kgm/s over 0.700s TRUE/FALSE. Conducting business in a tax haven means that there are no taxes whatsoever. explain how one can generate a random variable x that has a pdf the linking of computers to allow them to operate interactively is major changes in sleep patterns, weight, and a loss of interest in pleasurable activities characterize __________. The bottom of an extension ladder is 9 ft from the base of a building. The ladder is extended to 36 ft. Find the distance from the top of the ladder to the ground. Round to the nearest tenth of a foot. addition of two carbons to oxaloacetate requires energy. where do you think that energy comes from? cleavage of the acetyl group from COA NADH ATP many african artworks often act as conduits to the spirit world: they permit supernatural forces into the human world, to bestow good or ill fortune.T/F you may need new shocks if you push down hard on the front and rear of the vehicle and 2 Stefan pushes a cart with three books so itjust reaches the end of a track. Next, heputs six books onto the cart. Which claimexplains what he must do so that the cartreaches the end of the track?F use less forceGuse more force(H) use the same amount of forceO use a different cart5 Alonso uses a stretched rubber band topropel a toy car across a flat surface. Whatforce makes the car roll forward?ABa push from the airthe pull of gravityCa push from Alonso's handDa push from the rubber band if you expect their yields to maturity to be 8 t the beginning of next year, what will be the price of the bond?