Step-by-step explanation:
...............
......
Which of the following are integer solutions to the inequality below? − 2 < x ≤ − 1
Given the equation 10r−9y=8, what is the value of r when y=18? r=
The value of r when y = 18 is 17.
What is an Equation?An equation is the statement of two expressions located on two sides connected with an equal to sign. The two sides of an equation is usually called as left hand side and right hand side.
Given the equation which is linear having the exponent of the variable equals 1.
10r - 9y = 8
We have to find the value of r when value of y = 18.
Substituting y = 18 in the equation,
10r - (9 × 18) = 8
10r - 162 = 8
10r = 170
r = 170/10
r = 17
Hence when the value of y = 18, then the value of r = 17.
To learn more about Equations, click on the link :
https://brainly.com/question/1566730
#SPJ1
What is the slope of y =- 5x 5?
The slope of the given equation [tex]y = -5x^5[/tex] is [tex]-25x^4[/tex].
To find the slope of the equation [tex]y = -5x^5[/tex], you need to take the derivative of the equation with respect to x. The slope of the equation represents the rate of change of y with respect to x, that is how y changes as x changes.
The derivative of [tex]y = -5x^5[/tex] can be calculated using the power rule, which states that if f(x) = [tex]x^n[/tex] then f'(x) = [tex]nx^{(n-1)}[/tex], the slope of the equation is [tex]-55x^4[/tex].
So, the slope of the equation [tex]y = -5x^5[/tex] is [tex]-25x^4[/tex].
Here, note that this equation represents a polynomial function of degree 5, which means that it is a function that has the highest power term of [tex]x^5[/tex]. Also, the slope of a polynomial function is always a polynomial function of one degree lower than the original function.
Read more about Slope:
brainly.com/question/28645794
#SPJ4
What is the percent of increase from 5 to 7?
The percentage increse in value from 5 to 7 is 40 %
What is Percentage ?A percentage is a ratio or fraction where the full value is always 100. Sam, for instance, would have received 30 out of a possible 100 points if he had received 30% on his arithmetic test. In ratio form, it is expressed as 30:100 and in fraction form as 30/100.
Finding the percentage of a whole in terms of 100 is what percentage calculation refers to. A percentage can be found in one of two ways:
use the unitary approach.by adjusting the fraction's denominator to 100.It should be noted that when the denominator is not a factor of 100, the second technique of percentage calculation is not applied. In these situations, we employ the unitary technique.
The initial value is 5
Final value = 7
Increse in value 7-5 = 2
Percentage increse is [tex]\frac{2}{5}* 100 = 40 \ \% \\[/tex]
The percentage increse in value from 5 to 7 is 40 %
To learn more about Percentage refer to :
https://brainly.com/question/29163532
#SPJ1
Where is midpoint theorem used?
The midpoint theorem is used in a variety of mathematical fields, but it is primarily used in geometry and algebra.
In geometry, the midpoint theorem is used to find the midpoint of a line segment, which is the point that is exactly halfway between the two endpoints of the segment. The theorem states that the coordinates of the midpoint of a line segment can be found by averaging the coordinates of the endpoints.
For example, if the endpoints of a line segment have coordinates (x1, y1) and (x2, y2), the coordinates of the midpoint would be ((x1 + x2)/2, (y1 + y2)/2).
In algebra, the midpoint theorem can be used to find the equation of a line when the coordinates of the endpoints of a line segment are known. The equation of a line can be represented in the form of y = mx + b, where m is the slope and b is the y-intercept.
The slope of the line can be found by taking the difference of the y-coordinates of the two endpoints divided by the difference of the x-coordinates of the two endpoints. The y-intercept of the line can be found by using the midpoint of the line segment and the slope of the line.
In Calculus, the midpoint theorem is used in optimization problems. Optimization problems are used to find the maximum or minimum value of a function.
The midpoint theorem is used to find the critical points of the function, which are the points where the function reaches its maximum or minimum value. The critical points are found by taking the derivative of the function and equating it to zero.
Learn more about midpoint theorem:
https://brainly.com/question/25686058
#SPJ4
When is the boundary line of the graph of an inequality in two variables part of the solution?
The boundary line of the graph of an inequality in two variables is part of the solution when the line is a solid line
What is the meaning of inequality in math?A mathematical statement stating the relationship in terms of greater than, larger than or equal to, less than, or less than or equal to between two numbers or algebraic expressions is known as an inequality.
Inequality representation using a solid line and a dotted line
Inequality plots that use the < or > symbols features a dashed line and this shows the boundary lines are not a part of the solution.
An inequality marked with the symbol "or" such as greater than or equal to or less than or equal to is represented by a solid line boundary line and the region is included in the solution.
Learn more about inequality interpretation at:
https://brainly.com/question/29723628
#SPJ1
You take out a loan of $4050, with an interest rate of 6.5% over a period of 2 years. What is the interest accumulated?
The interest accumulation on the loan is equals to $526.50.
What is interest accumulation?As a financial term, when an interest is added to the account balance, it is considered accrued. Interest accrues on loans such as a mortgage, savings accounts, student loans, and other investments.
In our calculation, we are using a simple interest because it is only an interest charge that borrowers pay lenders for a loan. It is calculated by using the principal only and does not include compounding interest.
Data
Loan = 4,050
Interest rate = 6.5%
Time = 2 years
To get our Interest, we will use the simple interest formula which is "S.I. = PRT/100". Where P is 4050, r = 6.5%, T= 2 years.
The interest accumulated is computed as follows:
= $4050 * 6.5% * 2 years
= $526.50
Read more about interest
brainly.com/question/25793394
#SPJ1
This text describes a scenario where someone has taken out a loan of $4050. The loan has an interest rate of 6.5%, which means that the borrower will have to pay an additional 6.5% of the loan amount as interest. The loan is taken for a period of 2 years, which is the time frame during which the borrower has to repay the loan.
The question being asked is about the interest that will be accumulated on this loan. Interest accumulation refers to the increase in the amount of money that the borrower owes due to the interest that is being charged on the loan.
In this case, we need to calculate the total amount of interest that will be charged over the 2-year period, based on the loan amount and interest rate.
To calculate the interest accumulated on this loan, we can use the following formula:
Interest = Principal * Rate * Time
Where:
- Principal = the amount borrowed (in this case, $4050)
- Rate = the interest rate (in this case, 6.5% or 0.065 as a decimal)
- Time = the length of the loan in years (in this case, 2 years)
Plugging in the values, we get:
Interest = $4050 * 0.065 * 2
Interest = $527.25
So the interest accumulated on this loan is $527.25. This means that the borrower will have to pay back a total of $4577.25 ($4050 + $527.25) over the 2-year period.
Two vats of maple sap are boiling to make maple syrup. They are evaporating at different rates.
Vat A has a capacity of 35 L and is evaporating at rate of 0.25L/hr
Vat B has a capacity of 40 L and is evaporating at a rate of 0.35L/hr
How many hours with it take for both vats to contain the same amount of liquid?
Around 100 hours will take for both vats to contain the same amount of liquid.
How do you calculate the rate of evaporation of a liquid?
The equation indicates that the evaporation rate,
W = (95+0.425*V)*(Pw-Pa)/Y, where W is the evaporation rate, V is the air velocity at the water surface, Pw is the saturation vapor pressure at water temperature.
To find out how many hours it will take for both vats to contain the same amount of liquid, we need to compare the rates at which the liquid is evaporating from each vat.
We can set up the following equation:
(35 - x) / 0.25 = (40 - x) / 0.35
where x is the amount of liquid in both vats at the time they reach the same level.
We can then solve for x by multiplying both sides by 0.25 and 0.35 and then subtracting one equation from the other:
35 - x = 40 - x
x = 5
So, both vats will contain 5 liters of liquid at the time they reach the same level.
To find out how many hours it will take to reach this point, we can use the rate of evaporation for either vat.
For Vat A:
35 - 5 = 30 liters
30 liters / 0.25 liters/hour = 120 hours
For Vat B:
40 - 5 = 35 liters
35 liters / 0.35 liters/hour = 100 hours
So, It will take around 100 hours for both vats to contain the same amount of liquid.
to know more about rate of evaporation of a liquid visit,
https://brainly.com/question/79901
#SPJ1
The positive number a is 2,001% of the sum of the positive numbers b and c, and b is 87% of c. What percent of b is a?
Therefore , the solution of the given problem of percentage comes out to be percentage of b is 4301%.
A percentage is what?In mathematics, a percentage is a number of ratio that is stated as a portion of 100. Also occasionally used are the abbreviations "pct.," "pct," with "pc." To denote it, though, the percent symbol "%" is frequently employed. The % amount has no dimensions. Because percentages contain a numerator of 100, they are effectively fractions. A number should be followed by the % sign (%) to show that it represents a percentage. For instance, someone would receive a 75% grade if you properly solved 75 out of 100 questions on a test. To determine percentages, divide the amount of money by the total, and then multiply the result by 100. The percentage is calculated by multiplying the ratio (value/total) by 100%.
Here,
a =2001/100 * (b+c)
and
b= 87/100*c
thus putting value of b in a
=>a = 2001/100*(87/100*c + c)
=> a= 2001/100 * 187/87 * b
=>a/b = 374187 / 8700 * 100 = 4301%
and
Now percentage of b is 4301%.
Therefore , the solution of the given problem of percentage comes out to be percentage of b is 4301%.
To know more about percentage visit:
https://brainly.com/question/28269290
#SPJ1
Tyler atex fruit snacks, and Han ate 34 less than that. Write an equation to represent the relationship between the number Tyler ate (x) and the number Han ate (y).
The equation that represents the relationship between the number of fruit Tyler ate and Han ate is x = y + 34
What is a linear equation?A linear equation is an algebraic equation where each term has an exponent of 1 and when this equation is graphed, it always results in a straight line.
Also a linear equation can be defined as an algebraic equation of the form y=mx+b. involving only a constant and a first-order (linear) term, where m is the slope and b is the y-intercept.
The number of fruits Tyler ate is represented by x
The number of fruits Han ate is represented by y
Han ate 34 less than tyler, this means that y = x-34
and also making x the subject,
x = y + 34
Therefore the equation that represents the relationship between the number of fruits Tyler ate and Han ate is x = y+34
learn more about linear equation from
https://brainly.com/question/2030026
#SPJ1
I KNOW IT LOOKS WIERD BUT PLEASE HELP
Answer: Your answer is x = 8 for c and m = -12 for b
Step-by-step explanation:
c.
-8x = -64
-8x - 8 these cancel out
-64 - 8
64/8 = 8
x = 8
b.
-8 + m = -20
m - 8 = -20
m - 8 + 8 = -20 + 8 (add the -20 + 8 because the 8's cancel out)
m = -12
Jean Junction i elling jean at 15% off the regular price the regular price i $25 per pair what i the dicount amount
The discount amount is $3.75 ($25 x 15% = $3.75).
1.Calculate the discount: Regular price x discount percentage = discount amount
2. Plug in the values: $25 x 15% = $3.75
3.The discount amount is $3.75.
The discount amount can be calculated by taking the regular price and multiplying it by the discount percentage. For example, if the regular price is $25, and the discount percentage is 15%, the discount amount can be calculated by multiplying the regular price by the discount percentage ($25 x 15% = $3.75). Therefore, the discount amount is $3.75. This calculation can be used to calculate the discount amount for any given regular price and discount percentage.
Learn more about amount here
https://brainly.com/question/8082054
#SPJ4
Rick melted a cube and made a cone with it. The amount of melted liquid left after making the cone wa 49 cm
The volume of the cube before it was melted is greater than 49cm^3
The amount of melted liquid left after making the cone is 49 cm^3.
A cone is a three-dimensional shape that has a circular base and a single vertex or point. The amount of liquid remaining after making a cone can be calculated by comparing the volume of the cone to the volume of the cube.
The volume of a cone can be calculated using the formula:
V = (1/3) * pi * r^2 * h
Where V is the volume of the cone, pi is a mathematical constant (approximately 3.14), r is the radius of the circular base, and h is the height of the cone.
However, we don't have information about the radius or height of the cone, we only know the volume of melted liquid left after making the cone is 49 cm^3.
We can use this information to determine the volume of the cube before it was melted and compare it with the volume of the cone.
The volume of a cube can be calculated using the formula:
V = s^3
Where V is the volume of the cube, s is the length of one side of the cube.
Let's call Vc the volume of the cube before it was melted and Vcon the volume of the cone
Vc - Vcon = 49 cm^3
Therefore, the volume of the cube before it was melted is greater than 49cm^3
To learn more about the volume of cube and cone,
Visit; brainly.com/question/495173
#SPJ4
What is the additive inverse of 4 (- 4?
The additive inverse of 4 is -4. This means that when 4 is paired with -4, the two numbers cancel each other out and the result is 0.
The additive inverse of a number is the opposite of that number. For example, the additive inverse of 4 is -4. This means that when two numbers are added together and one of them is 4 and the other is -4, the result will be 0. This is because the two numbers cancel each other out. The same is true for any number and its additive inverse. For example, 8 and -8 added together will also result in 0. Additive inverses are an important part of algebra and can be used to solve equations. By understanding the concept of additive inverses, you can easily manipulate equations and solve for unknowns. This is due to the fact that when two numbers are added together and one of them is the additive inverse of the other, the result will always be 0.
Learn more about inverse here
https://brainly.com/question/13715269
#SPJ4
Earth approximately 33x 107 miles from the sun. Saturn is approximately 8.87 x 108 miles from the sun. About how much farther is S
from the sun than Earth is?-
OA 794x107 miles
OB 724x10 miles
0 43×10 miles
OD 4.3x10 miles
Reset
Next
Shayna and Arjun each improved their yards by planting grass sod and geraniums. They bought
their supplies from the same store. Shayna spent $16 on 2 ft² of grass sod and 1 geraniurn, Arjun
spent $73 on 1 ft² of grass cod
WL
fta of grass sod and the
So on solving the provided question, we can say that by equation Shayna : [tex];5x + 10y = $175[/tex] and Brenda : [tex]9x + 4y = $147[/tex]; cost = [tex]$11/ft^2[/tex] of grass, $12/geranium
What is equation?A mathematical equation is a formula that joins two statements and uses the equal symbol (=) to indicate equality. A mathematical statement that establishes the equality of two mathematical expressions is known as an equation in algebra. For instance, in the equation 3x + 5 = 14, the equal sign places the variables 3x + 5 and 14 apart. The relationship between the two sentences on either side of a letter is described by a mathematical formula. Often, there is only one variable, which also serves as the symbol. for instance, 2x – 4 = 2.
the equation, that will be formed are
Shayna : [tex];5x + 10y = $175[/tex]
Brenda : [tex]9x + 4y = $147[/tex]
[tex]5x + 10y = $175 \\ 5x = $175 - 10y\\(5x/5) = ($175/5) - (10y/5) = > x = $35 - 2y\\9x + 4y = $147 = > 9($35 - 2y) + 4y = $147\\ $315 - 18y + 4y = $147\\$315 - $147 = 18y - 4y \\ $168 = 14y = > y = $12\\ 5x + 10y = $175 = > 5x + 10($12) = $175 = > 5x + $120 = $175 \\5x = $175 - $120 = > 5x = $55 = > x = $11[/tex]
To know more about equation visit:
https://brainly.com/question/649785
#SPJ1
A box meaure 84cm by 60cm by 36cm
the box i completely filled with identical cube
find the minimum number of cube required
840 cubes can be placed in the given cuboid.
Now, According to the question:
We know that,
Volume of cuboid = l × b × h
Volume of cuboid = 84cm × 60cm × 36cm
Volume of cuboid = 181,440[tex]cm^3[/tex]
Side of the cube = 6 cm
Volume of the cube = side³
= 6³
= 216 cm³
Required number of cubes = volume of cuboid / volume of the cube
= 181,440/216
= 840
Thus, 840 cubes can be placed in the given cuboid.
Learn more about Volume of cuboid at:
https://brainly.com/question/29424737
#SPJ4
The complete question is this:
A box measure 84cm by 60cm by 36cmthe box is completely filled with identical cube. How many small cubes with side 6 cm can be placed in the given cuboid?
Which is the equation of the line, in point-slope form, that has a slope of 5 and passes through the point (-2, 4)? Oy - 2 = -5(x-4) Oy - 2 = 5(x+2) Oy - 4 - 5(x+2) Oy - 4 = 5(x-2)
The sorrect option: y - 4 = 5x - 10, is the equation of the line, in point-slope form.
What is meant by the term point-slope form?A line's equation written using a single point on the line and also the line's slope is referred to as the point-slope form. The slope is the ascent over run, or indeed the ratio of said change mostly in y values well over change in the x values, and the point form is denoted as (x,y).The slope of the line;
Slope m = 5.
Passing points: (x1, y1) = (-2, 4).
So, general equation of the line,
y - y1 = m(x - x1)
y - 4 = 5(x + 2)
y - 4 = 5x - 10
Thus, the equation of line, in point-slope form, that has a slope of 5 is found as : y - 4 = 5x - 10.
To know more about the point-slope form, here
https://brainly.com/question/24907633
#SPJ4
Please help!! Find f(-3) - 2
Hint: find f(-3) first and then subtract 2.
The solution for f(-3) - 2 in the function when the function f(x) = 4 − (x + 3)⁵ is 2
How to determine the solution for f(-3) - 2 in the function?From the question, we have the following equation that can be used in our computation:
f ( x ) = 4 − ( x + 3 )^5
To make the equation legible, we need to rewrite it
So, we have the following representation
f(x) = 4 − (x + 3)⁵
Also from the question, we have
f(-3) - 2
This means that the value of x is -3, and we calculate f(x) when x = -3
Substitute the known values in the above equation, so, we have the following representation
f(x) - 2 = 4 − (x + 3)⁵ - 2
So, we have the following equation
f(-3) - 2 = 4 − (-3 + 3)⁵ - 2
There are constants to add or subtract to both sides of the equation
However, there is no factor to multiply or divide from both sides of the equation
So, we have the following representation
f(-3) - 2 = 4 − (0)⁵ - 2
Solving further, we have
f(-3) - 2 = 4 - 2
Evaluate the difference
f(-3) - 2 = 2
Hence, the solution is 2
Read more about functions at
brainly.com/question/28277110
#SPJ1
Complete question
Given that f ( x ) = 4 − ( x + 3 )^5
Find f(-3) - 2
Hint: find f(-3) first and then subtract 2.
Anna and julia each take a bycicle trip. Anna ride 20 mile in 1 1/3 hour. Julia ride 246 mile in 16 hour. Which rider ha the lower unit rate? by how much?
Julia has lower rate than anna by 0.375 miles/ hour
A rate is a ratio that is used for comparing two different kinds of quantities which have different units. On the other hand, the unit rate illustrates how many units of quantity correspond to the single unit of another quantity. We say that when the denominator in rate is 1, it is called unit rate. In fact, unit rate is said to be the amount of something in each unit or per unit. Let us understand this using some examples:
40 miles/2 hours = 20 miles/hour, Unit rate is 20 miles per hour
160 words/4 minutes = 40 words/minutes, Unit rate is 40 minute per minute
To compare the unit rate of the two riders, we need to determine the number of miles per hour for each of them.
For Anna, the unit rate is 20 miles / 1 1/3 hour = 15 miles/hour.
For Julia, the unit rate is 246 miles / 16 hours = 15.375 miles/hour.
So, Julia has a lower unit rate than Anna by 0.375 miles/hour.
To learn more about unit rate visit-
brainly.com/question/29781084
#SPJ4
what does it mean to round to the nearest cent
Answer:
wrong - $32.547
right - $325.47
Step-by-step explanation:
Basically, if the number in the tens place (145) is 5 or higher the nearest would be the next ten or hundred up, if lower than 5 it goes back down.
Rounding cents is basically the same. as rounding Example:
$14.345
(This is not a vaild amount of money because once you reach a hundred cents you have another dollar. So you will move the decimal point over to the left.)
$143.45
More examples:
incorrect - $23.8678
correct - $2386.78
incorrect - $89.264
correct - $892.64
Rounding is something like rounding to the nearest ten or hundred here's an example:
14 to the nearest ten is 10
16 to the nearest ten is 20
284 to the nearest hundred is 300
104 to the nearest hundred is 100
(Hope this helps. Sorry if this confused you further)
What is the value of m?
79°
m
The value of m in the linear pair with an array is 101°, using supplementary rule.
What is Linear pair?Two lines converge at a single point to generate a pair of linear angles. If, following the junction of the two lines, the angles are next to one another, they are said to be linear. A linear pair always has an angle total of 180 degrees.
When two lines cross, they generate a linear pair, which is two nearby angles. The numbers 1 and 2 form a linear pair in the figure. The same goes for 2 and 3, 3 and 4, and 1 and 4. In a linear pair, the two angles are always supplementary, which implies that their sum total is 180 degrees.
79° + m = 180°
m = 180° - 79°
m = 101°
To learn more about Linear pair refer to:
brainly.com/question/18944511
#SPJ1
Complete question:
What is the value of m?
79° + m = 180°
Find the first four terms of the sequence given by the following. an =54 +5(n - 1), n f1, 2, 3...
Answer:
[tex]54,59,64,69[/tex]
Step-by-step explanation:
[tex]a_{n}=54+5(n-1)=54+5n-5=49+5n \\ \\ a_{1}=49+5(1)=54 \\ \\ a_2=49+5(2)=59 \\ \\ a_3=49+5(3)=64 \\ \\ a_3=49+5(4)=69[/tex]
Victoria has tiles that measure 20 centimeters by 12 centimeters. If she wants to arrange them to form the smallest possible square, without cutting or overlapping any of the tiles, how many centimeters long will each side of the square be?
The dimensions of each side of the square will be 4 centimeters long.
To determine the smallest possible square that can be formed from the tiles without cutting or overlapping them, you will need to find the greatest common divisor (GCD) of the two dimensions of the tile (20 cm and 12 cm).
The GCD represents the largest size of a square that can be formed without cutting or overlapping the tiles.
The GCD of 20 and 12 can be found using the Euclidean algorithm:
Divide 20 by 12. The quotient is 1 and the remainder is 8.
Divide 12 by 8. The quotient is 1 and the remainder is 4.
Divide 8 by 4. The quotient is 2 and the remainder is 0.
Since 4 is the last non-zero remainder, it is the GCD of 20 and 12.
Thus, each side of the square will be 4cm long.
Learn more about the Greatest Common Factor here:
brainly.com/question/18905667
#SPJ1
Helpppo meeeee!!!please I really need help
When a polynomial is to be divided by a linear expression and the leading coefficient (first number) must be a 1, synthetic division is used. Any polynomial equation, regardless of degree, can, for instance, be divided by x + 1, but not by x2+1.
When is the use of synthetic division prohibited?Additionally, the binomial must be of degree 1; synthetic division cannot be used to divide by a binomial such as x2 + 1. Here are the steps for performing synthetic division on a polynomial by a binomial.
What is the synthetic chemical formula?To get the quotient and the remainder, write down the coefficients and divide them by the linear factor's zero. Q(x) + (R/(x - a)) = (P(x)/(x - a)).
To know more about polynomial visit:-
brainly.com/question/20121808
#SPJ1
It takes an ant habitat 4 days to consume 13 of a banana. At that rate, in how many days will the ant habitat consume 4 bananas? Type your answer in the box below.
Using the concept of rates and ratio, it will take approximately 0.12 days to finish 4 bananas
What is RatesWhen comparing two or more similar amounts or numbers using the same units, a ratio is utilized. In spoken language, we state the ratio of one quantity "to" the second quantity, and it is frequently written with a colon. For instance, a class has a 3:4 (or 3:4) ratio of boys to girls. When comparing two quantities, for example, some issues may only give you two numbers, but other problems might have more than two. For example, the proportions of the various ingredients used in a recipe.
We can use the concept of ratio or proportions to determine the number of days they will consume 4 banana
4 days = 13 banana
1 day = x banana
Cross multiply both sides and solve for x
x * 4 = 13 * 1
4x = 13
x = 13 / 4
x = 3.25
Now, we can find the number of days it will take to consume 4 banana
1 day = 3.25 banana
x days = 4 banana
Cross multiply both sides and solve for x
4 * 1 = 3.25x
x = 4 / 3.25
x = 0.12 days
Learn more on rates here;
https://brainly.com/question/2021001
#SPJ1
at a football game, a vender sold a combined totalf of 248 sodas and hot dogs. the number of sodas sold was three times the number of hot dogs sold. find the number of sodas and hot dogs sold.
Answer:
Number of soda = 186
Number of hot dog= 62
Step-by-step explanation:
Let us take number of sodas as x and number of hot dogs as y
Then
x + y = 248 [Equation 1]
and
3y = x
Hence,
3y -x = 0 [Equation 2]
By adding [Equation 1 & 2]
(+x -x) 3y + y = 248 + 0
4y = 248
4 4
y = 62
Substitute y= 62 in [Equation 1] to get
x + y = 248
x + 62 = 248
x = 248 - 62
x = 186
How to solve factor by grouping. Step by step.
Answer:
(n+5)(n-2)
Step-by-step explanation:
n^2+3n-10
(n+5)(n-2)
Use a trigonometric ratio to solve for b. Round to two decimal places as necessary!!
HELP, and can someone explain how to get the answer?
When one side and one angle of a right angled triangle are given as 19 and 35°, respectively, the value of b is calculated using trigonometric ratios as 13.03.
what is trigonometric ratios ?Trigonometric ratios are defined as the values of all trigonometric functions based on the right-angled triangle's side ratio. The trigonometric ratios of any acute angle in a right-angled triangle are the ratios of its sides to that angle.
given
one side = 19
angle = 35°
one angle = 90° as right angle triangle
another angle = 35°+ 90° + x = 180°
= 125° + x = 180°
x = 55°
[tex]\frac{a}{sinA} = \frac{b}{sinB}[/tex]
19 / sin55° = b / sin35°
b = 13.03
When one side and one angle of a right angled triangle are given as 19 and 35°, respectively, the value of b is calculated using trigonometric ratios as 13.03.
To know more about trigonometric ratios visit :-
https://brainly.com/question/25122825
#SPJ1
The number of calls received by an office on Monday morning between 8:00 AM and 9:00 AM has a mean of 2. Calculate the probability of getting no more than 4 calls between eight and nine in the morning. Round your answer to four decimal places
The probability of getting no more than 4 calls between eight and nine in the morning is 0.9473
How to calculate the probability of getting no more than 4 calls?
This is a Poisson distribution problem with a mean of 2.
In a Poisson distribution, the probability that X successes is given by:
P(X = x) = [e^(-λ) × λˣ] / x!
where x is the number of successes
e = 2.71828 is the Euler number
λ is the mean
The number of calls received by an office on Monday morning between 8:00 AM and 9:00 AM has a mean of 2 i.e. λ = 2
P(X ≤ 4) = ([e⁻²× 2⁰]/0!) + ([e⁻²× 2¹]/1!) + ([e⁻²× 2²]/2!) + ([e⁻²× 2³]/3!) + ([e⁻²× 2⁴]/4!)
P(X ≤ 4) = 0.9473
Learn more about Probability distribution on:
brainly.com/question/29405205
#SPJ1