Answer:
false
Step-by-step explanation:
(-3.2) + (-2.8)
-3.2 - 2.8
= - 6
answer is negative so false
Graph two lines whose solution is (1, 4) .
The lines y = x + 3 and y = 2 · x + 2 pass through point (1, 4) on Cartesian plane.
How to graph two lines that pass through a given point on Cartesian plane
In this problem we must graph two lines that pass through point (x, y) = (1, 4). Lines can be represented by equations of following form:
y = m · x + b
Where:
x - Independent variable.y - Dependent variable.m - Slopeb - InterceptWe must choose two slope-intercept combinations to generate two different lines: (x, y) = (1, 4)
Line 1
4 = m · 1 + b
4 = m + b
m = 1
4 = 1 + b
b = 3
y = x + 3
Line 2
4 = m · 1 + b
4 = m + b
m = 2
4 = 2 + b
b = 2
y = 2 · x + 2
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This looks hard, I'm stuck, help.
Answer:
14:7, 42:21, 6:3, 48:24
Step-by-step explanation:
The ratio can be seen as 2:1 (from the provided 14:7 which is equal to 2), which would be in plums:grapes.
Your ratio of 42:21 is correct for the second column, so we can move on to the third and fourth.
We can use this equation to find your missing values for column 3:
[tex]\frac{14}{7}[/tex] = [tex]\frac{x}{3}[/tex]
Now, we can solve for x through cross multiplication:
7x = 14*3
7x = 42
x = 6
For column 4, we can set up the equation:
[tex]\frac{14}{7}[/tex] = [tex]\frac{x}{24}[/tex]
Now, let's solve for x:
7x = 336
x = 48
Therefore, your ratios will be:
14:7, 42:21, 6:3, 48:24.
3. Mariana has a fish tank that is 30 in x 12 in x 16 in. What unit of measurement should she use for volume?
square inches
cubic feet
cubic inches
pounds
Answer: cubic inches
Step-by-step explanation: volume is cubed since it is 3 dimensions and it is in inches which are the units given
Complete the following statements with the correct words Note: Correct spelling is important. func a. If s(t) is a distance (or height or position) function, then s'(t) would be a velocity b. If c(x) is a cost function, then c'(x) would be called the cost x c. If y(t) is a velocity function, then v'(t) would be a acceleration function
Velocity, marginal cost, and acceleration are derivatives of displacement, cost, and velocity functions.
The velocity of an object or particle describes how far it has moved or displaced over time. If the function s(t) determines the position of an object, then the velocity is its first derivative. And, this is written as s'(t). The initial blank is therefore filled with velocity.
The cost difference between producing one more product or serving one more customer is known as the marginal cost. As a result, it can be calculated by dividing the change in overall costs by the change in energy output. So, the cost function's derivative is the marginal cost. If the cost function is c(x), then its derivative c'(x) is the marginal cost. The second blank is filled with marginal cost.
Acceleration is the time-dependent derivative of velocity. If v(t) is the velocity, then the acceleration is v'(t). The third blank is filled with acceleration.
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Write an equation of the line that passes through (2, −4) and (0, −4).
Answer: x⁰⁄₂ + 0 = y or x⁰⁄₂ = y
Step-by-step explanation:
Equation of a line is mx+b=y
m=slope
The slope is ʸ⁄ₓ or in this case ⁰⁄₂
b=where the line cross the y-axis which is 0, when it is 0 there is no use in write +0 after the equation, as there is no difference, but it is your choice
Without graphing the equations, decide whether the system has one solution, no solution, or infinitely many solutions. 5y =x-6 4x-10y=12
Answer:
One solution:
[tex]\boxed{x = 0,\;y = -\dfrac{6}{5}}[/tex]
Step-by-step explanation:
The solution strategy is to isolate one of the variables by eliminating the other. There are several ways to do this. This is my preferred way
The equations are
[tex]5y = x-6 \cdots[1]\\\\4x - 10y = 12 \cdots[2]\\\\[/tex]
Transform equation [1] into the same form as [2] with x and y variables on the left and the constant on the right:
Subtract x from both sides of equation [1]:
[tex]-x + 5y = -6\cdots[3][/tex]
Multiply equation [3] by 2 to get the coefficients of y the same
[3] x 2 gives
[tex]-2x + 10 y = -12\cdots[4][/tex]
In equations [2] and [4], the coefficients of y are the same but of opposite sign
Add equations [2] and [4] to get
[tex]4x - 10y + (-2x + 10y) = 12 + (-12)\\\\4x - 10y -2x - 10y = 12 -12\\\\4x - 2x -10y + 10y = 0\\\\2x = 0\\\\x = 0\\\\[/tex]
Substitute for x = 0 in any of the equations [1] or [2] and solve for y
Let's pick equation 1
Substitute for x = 0 in [tex]5y = x - 6\\[/tex]
[tex]5y = 0 - 6\\\\5y = -6\\\\y = -\dfrac{6}{5}\\\\[/tex]
So this is a system of equations with one solution:
[tex]\boxed{x = 0,\;y = -\dfrac{6}{5}}[/tex]
If the pointer in the figure is spun twice, find the probability that the pointer lands on green and then red.
Answer:
say there are 2 colors, it is 50/50.
if there are 3 it would be a 1/3. 4 colors would be 1/4. now multiply your probability by two. i.e: 1/4 ×2 = 2/8
Please help I’m struggling
Answer: it's C because 4% of 2170 is 86.8 and times 18 years is 1562.4 and 2170 minus 1562.4 equals 607.8. And C is the closest answer to that answer I gave.
3(0.4h+5) > 4(0.2h+7)
Whenever you want to add clarification, explanation, or a side remark to a statement, you should use parentheses ().
How to find the calculation?3(0.4h+5)=4(0.2h+7)
When adding extraneous information or an aside to a sentence, parentheses, a pair of punctuation marks, are most frequently utilized.
Two curving vertical lines can be seen in parentheses: ( ). Parenthesis refers to a single instance of this punctuation.
To the left, we reposition every term:
3(0.4h+5)-(4(0.2h+7))=0
Parentheses are increased.
0h-(4(0.2h+7))+15=0
-(4(0.2h+7)), which we calculate as follows:
4(0.2h+7)
Parentheses are increased.
0h+28
In addition, we add up all the numbers and variables.
h+28
Resuming the equation
-(h+28)
In addition, we add up all the numbers and variables.
h-(h+28)+15=0
Parentheses are removed.
h-h-28+15=0
In addition, we add up all the numbers and variables.
-13!=0
For this equation, there is no answer.
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In a retail store with 36 employees, 29 work with customers, 11 work in the
warehouse, and 4 do neither. How many employees both work with customers and
work in the warehouse?
Answer: 8 employees doing both jobs.
Step-by-step explanation:
If 4 do neither, we can subtract this from the total number of employees. This will give us the employees that work with customers, the warehouse, or both.
36 - 4 = 32 employees
Next, we need to find how many do both. We can add 29 and 11 together to find the total number of jobs worked in these sections (this will include employees doing both jobs).
29 + 11 = 40 employees
Lastly, we will subtract the total number of employees working in these sections from the number above to find how many are doing both jobs.
40 - 32 = 8 employees doing both jobs.
What is the prime factorization of 24? 2 x 6 3 x 8 22 x 4 23 x 3
Its pair factors are (1, 24), (2, 12), (3, 8), and (4, 6). The prime factorization of 24 gives 2 x 2 x 2 x 3 = 23 x 3, where 2 and 3 are the prime factors of 24. The sum of factors of 24 is 60. The correct answer is 24 = 2³×3
More prime factorization of 24:So, the prime factorization of 24 are 2 × 2 × 2 × 3 or 23 × 3, where 2 and 3 are the prime numbers. Learn more about factors and prime factors here with us in BYJU’S and also download BYJU’S – The Learning App for a better experience. What are the factors of 24? Factors of 24 are 1, 2, 3, 4, 6, 8, 12 and 24.
There are many ways to factorization 24 but we have to pick one:
There is a picture of what the solution is to factorization of 24.
Therefore, the correct answer is 24 = 2³×3
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a=-2x^2 + 36x
solve for x
Answer:
x= 18,0
Step-by-step explanation:
Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s). Find the quotient. If possible, rename the quotient as a mixed number or a whole number. Write your answer in simplest form, using only the blanks needed. Division Line
2 3/5 divided by 1 1/4
The quotient is [tex]2\frac{2}{25}[/tex]. The quotient is a mixed number.
What is a fraction bar?
With mathematics, a fraction bar is a visual representation of fractions that aids in fraction comparison and fraction operations. A part-to-whole representational model is fraction bars or fraction strips. Each fraction bar segment represents one unit of a larger whole.
Given that [tex]2\frac{3}{5}[/tex] divide by [tex]1\frac{1}{4}[/tex].
The mathematical representation is
[tex]2\frac{3}{5}[/tex] ÷ [tex]1\frac{1}{4}[/tex]
Convert the mixed fraction to improper fraction:
= (2×5 + 3)/5 ÷ (1×4+1)/4
=(13/5) ÷ (5/4)
To convert the division sign into a multiplication sign, take the reciprocal of 5/4.
= (13/5) × (4/5) [Reciprocal of 5/4 is 4/5]
= 52/25
If 52 is divided by 25, the quotient is 2 and the remainder is 2.
Convert 52/25 into a mixed fraction:
52/25 =[tex]2\frac{2}{25}[/tex].
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Police estimate that 20% of drivers do not wear their seatbelts. The police set up a safety roadblock and stopping cars to check for seatbelt use.
what is the probability that the first unbelted driver is in the 6th car stopped?
Answer:
20%
Step-by-step explanation:
The probability that the first unbelted driver is in the 6th car stopped is
(1 - 0.20)^5 * 0.20,
where 0.20 is the probability that a driver does not wear their seatbelt (20%),
and (1 - 0.20)^5 is the probability that the first 5 cars stopped all have drivers who wear their seatbelts.
This simplifies to (0.8)^5 * 0.2 = 0.32768 * 0.2 = 0.065536.
ou are tasked to perform a linear regression using the least-squares method on the following (x,v) data points: (6,7) (8,9) (13,17) From the list of answers, pick the point that will be part of the regression line Hint: Find the equation of the line (slope, intercept) as you did in the regression assignment: Then for a (X1, Y1) given below; replace the value of X in the equation with the value of X1, and find out if you get the value of Y1. If you do (meaning the equivalence is true), that point is part of the regression line: (0,01) (9.11) (6,7)
(8,9)
The point that will be part of the linear regression line is (6,7).
The least-squares method is used to perform a linear regression on the given data points (6,7), (8,9), and (13,17). This method finds the line of best fit through the set of data points by minimizing the sum of the squares of the differences between the observed values and the predicted values from the line. To check whether a point is part of the regression line or not, we can substitute the x value of the point into the equation of the line and see if it gives the corresponding y value.
In this case, point (6,7) is part of the regression line because it satisfies the equation of the line.
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Which of the following choices is equivalent to 2 - x > 5(x - 4)?
A. 2- x > 5x + 20
B. 2- x > 5x - 4
C. 2- x > 5x - 20
D. 2- x > x - 20
Answer:
Step-by-step explanation:43
Answer: C
Because 5(x - 4) is equal to 5 times x and 5 times -4, which is 5x - 20
2. Which number below is an odd number? (1
O533
0422
1,022
0874
Answer:
533
Step-by-step explanation:
Ends in an odd number
Answer:
the first one: 0533
Step-by-step explanation:
1,3,5,7,9 are basic odd numbers
2,4,6,8 are basic prime numbers
see what the last digit is aka the ones place
see if it ends in an odd or even
the only one that has the last digit as an odd number is the first one 0533, therefore it is the answer.
when you combine all the baking soda recipes from the recipes that use exactly 1 1/4 teaspoons how much baking soda will you have in all
Answer:
When you combine all the baking soda recipes from the recipes that use exactly 1 1/4 teaspoons, you will have the same amount of baking soda that was used in all the recipes.
Step-by-step explanation:
In other words, if you have X number of recipes that each use 1 1/4 teaspoons of baking soda, you will have X*1.25 teaspoons of baking soda in total.
It is important to notice that the question is asking about the amount of baking soda used in those exact recipes that calls for 1 1/4 teaspoons and not about the total amount of baking soda you would end up with after making all the recipes. Therefore, the total amount of baking soda you would have after making all the recipes would depend on how much was used in each recipe and how many were made .
Q9
If 3x - y = 20 and y = 7, what is the value of x?
Step-by-step explanation:
[tex]3x - y = 20 \\ y = 7 \\ 3x = 20 - 7 \\ 3x = 13 \\ x = \frac{13}{3} \\ x = 4.33[/tex]
The value o x for the given expression will be 9.
The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that the expression is 3x - y = 20 the value of y is 7. The value of x will be calculated as:-
3x - y = 20
3x - 7 = 20
3x = 20 + 7
3x = 27
x = 27 / 3
x = 9
Therefore, the value of x will be 9.
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Solve.
4 Laqueta has n red apples and m green apples in a basket.
She puts 3 more red apples into the basket. Write an
expression for the total number of apples Laqueta has
in the basket.
Therefore, the expression for the total number of apples Laqueta has in the basket is (n+3) + m.
Define expression.An expression, often known as a mathematical expression, is a finite collection of symbols that are well-formed in accordance with context-dependent principles.
Define symbols.A figure or a group of figures used to represent a mathematical item, an action on a mathematical object, a relationship between mathematical objects, or to organize other symbols that appear in a formula are known as mathematical symbols.
The total number of apples Laqueta has in the basket = n+m
When she puts 3 more red apples into the basket, the total number of red apples becomes n+3.
So, the total number of apples Laqueta has in the basket is (n+3) + m.
This can be simplified as n+m+3.
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One cube has edge length 2 cm. A larger cube has edge length 5 cm. What is the ratio of the surface area of the smaller cube to the surface area of the larger cube in simplest form?
i think i onestly i think maybe 7 cm.
Which two statements comparing stock and bond investments are true?
0 Bonds typically offer higher returns than stocks.
0
Stocks have higher risk than bonds.
0
A bond offers fixed interest income, while a stock may offer dividends to investors.
130
Investors pay a brokerage fee for buying and selling bonds, while they pay an advisory fee for
buying and selling stocks.
Bonds are traded on an equity-based exchange, while stocks are purchased directly from a
corporation.
Correct option is B and C, Stocks have higher risk than bonds. A bond offers fixed interest income, while a stock may offer dividends to investors.
In general, stocks are riskier than bonds simply because they do not provide investors with guaranteed returns, as opposed to bonds, which do so through coupon payments. Bondholders, who are a company's creditors, get priority in being paid back in the case of a business bankruptcy, making stocks intrinsically more volatile than bonds. Owners of common stock, on the other hand, are last in line and risk losing everything if the business fails.
Bonds would be a preferable choice for risk-averse investors who want to safely invest their money and feel secure with more standardized payout schedules.
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R varies directly with S and inversely with T. When s=5 and T=100, R=45. find the exact value of R when S= 13 and T=63
The value of R when S = 13 and T = 63 is 4361.5
What is Variation?A variation is a relation between a set of values of one variable and a set of values of other variables.
If R varies directly with S and inversely with T . This statement is represented in the form:
R = KS/T.
K is called proportionality constant
When R = 45 ,S = 13 and T = 100, then K=
K = RT/S
K = 45×100/5
K = 4500/5= 900
When S = 13and T = 63, then
R = KT/S
R = 900× 63/13
R= 56700/13
R = 4361.5
Therefore when S = 13 and T = 63, the value of R is 4361.5
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12 is added to 25% of a number the result is 30 what is the number
Answer:
72
Step-by-step explanation:
30 minus 12 is 18 and 18 is 25% of 72
A repair man charges an inspection fee plus $20 dollars per hour. A customer with a coupon for 40% off the inspection fee pays $110 for a 4-hour repair. How many hours are worked when a customer pays $90 without a coupon?
Without a coupon and paying $90 the customer was attended for 2 hours
How to find the number of hours the customer paid forWhen a customer with a coupon for 40% off the inspection fee pays $110 for a 4-hour repair the inspection fee is calculated
customer's pay = (inspection fee * 40% off the inspection fee) + charge per hour * number of hours
40% off means the customer paid 60% of the fees
let the inspection fee be x
110 = (x * 0.60) + 20 * 4
110 = 0.6x + 80
110 - 80 = 4x
0.6x = 30
x = 50
a customer without a coupon
let the number of hours be y
customer's pay = inspection fee + charge per hour * number of hours
90 = 50 + 20 * y
90 = 50 + 20y
20y = 90 - 50
20y = 40
y = 2
the customer spent 2 hours
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Write a sine function that has an amplitude of 2, a midline of 4 and a period of 2/3
A sine function that has an amplitude of 2, a midline of 4 and a period of 2/3 is write as:
y = 2 sin 3πx + 4How to write the sine functionThe sine function is written considering the general formula in the form
sine function, y = A sin wx + b
where
A = amplitude
w = 2π / period
b = midline
In the problem the values available are
A = 2
b = 4
period = 2/3
substituting the known values
sine function, y = A sin wx + b
sine function, y = 2 sin (2π / 2/3) x + 4
sine function, y = 2 sin (3π) x + 4
sine function, y = 2 sin 3πx + 4
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You and some friends have $30. You want to order large pizzas (p) that are $10 each and drinks (d) that cost $1 each. Make a table of possible choices(including intercepts) and graph an inequality that shows how many pizzas and drinks you can order.
Answer:
[tex]\begin{array}{|c|c|}\cline{1-2} \vphantom{\dfrac12} \sf Pizza & \sf Drinks\\\cline{1-2} \vphantom{\dfrac12} 0& 30\\\cline{1-2} \vphantom{\dfrac12} 1& 20\\\cline{1-2} \vphantom{\dfrac12} 2& 10\\\cline{1-2} \vphantom{\dfrac12} 3& 0\\\cline{1-2} \end{array}[/tex]
See attachment for the graph of the inequality.
Step-by-step explanation:
Given information:
Maximum amount of money available = $30Cost of one large pizza (p) = $10Cost of one drink (d) = $1The inequality to represent the given information is:
10p + d ≤ 30To complete the given table, input p from 0 through 3 into the inequality and solve for d.
[tex]\begin{aligned}p=0 \implies 10(0) + d & \leq 30\\d & \leq 30\end{aligned}[/tex]
[tex]\begin{aligned}p=1 \implies 10(1) + d & \leq 30\\10+d & \leq 30\\d & \leq 20\end{aligned}[/tex]
[tex]\begin{aligned}p=2 \implies 10(2) + d & \leq 30\\20+d & \leq 30\\d & \leq 10\end{aligned}[/tex]
[tex]\begin{aligned}p=3 \implies 10(3) + d & \leq 30\\30+d & \leq 30\\d & \leq 0\end{aligned}[/tex]
Completed table:
[tex]\begin{array}{|c|c|}\cline{1-2} \vphantom{\dfrac12} \sf Pizza & \sf Drinks\\\cline{1-2} \vphantom{\dfrac12} 0& 30\\\cline{1-2} \vphantom{\dfrac12} 1& 20\\\cline{1-2} \vphantom{\dfrac12} 2& 10\\\cline{1-2} \vphantom{\dfrac12} 3& 0\\\cline{1-2} \end{array}[/tex]
To graph the inequality:
Let the x-axis represent the number of pizzas (p).Let the y-axis represent the number of drinks (d).Plot two points from the table: (0, 30) and (3, 0).Draw a solid line through the points.Shade under the line.Select the correct answer. What is the general form of the equation of a circle with its center at (-2, 1) and passing through (-4, 1)? A. x2 + y2 − 4x + 2y + 1 = 0 B. x2 + y2 + 4x − 2y + 1 = 0 C. x2 + y2 + 4x − 2y + 9 = 0 D. x2 − y2 + 2x + y + 1 = 0
Answer:
I think it's b. when you have a negative and a negative it becomes a positive
Rollins read books create expression
When Rollins read books it is a expression in which the number of books he has completed is, N = P/( a × b )
What are expressions?An expression is a sentence with at least two numbers or variables having mathematical operation. Math operations can be addition, subtraction, multiplication, division.
For example, 2x+3
In given problem,
we have to make relationship between number of books he has completed, how many pages he can read per minute and daily how many minutes he reads book.
suppose,
the number of books he has completed = N
pages he can read per minute = a
time spent on reading per day = b
Total page in a book = P
N = P/( a × b )
Hence, The expression is N = P/( a × b )
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According to the CDC, 6% of people who contract measles also develop pneumonia. If there were 1,296 cases of the measles in the United States in 2019, how many people developed pneumonia? Round to the nearest whole person.
By approximately what percentage (relative change) did measles decline between 2014-2015? Round your answer to two decimal places.
The people that developed pneumonia will be 78 people.
How to calculate the percentage?A percentage simply has to do with the a value or ratio which can be stated as a fraction of 100. It should be noted that when we want to we calculate a percentage of a number, we simply divide it and then multiply the value that is gotten by 100.
According to the CDC, 6% of people who contract measles also develop pneumonia. If there were 1,296 cases of the measles in the United States in 2019, the people that developed pneumonia will be:
= 6% × 1296
= 78 people.
The second question can't be solved as the information isn't given.
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