How many high school seniors filled out the FAFSA in 2018-2019 school year?

a
60.9%
b
52%
c
86.7%
d
79.5%

The measure of the unknown sides is equivalent to 12.6

The given figure is a circle geometry with the perpendicular lines intersecting both segments of the circle.

We need to determine the measure of x. Since the measure of the perpendicular lines are equal, hence the measure of the line of the segments will also be equal.

Hence:

x = 6.3 + 6.3

x = 12.6

Therefore the measure of x from the given diagram is equivalent to 12.6

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There are a total of 3 forwards on the team.

A fraction represents a part of the whole or group of objects.In a fraction, numerator and denominator are separated by a horizontal bar known as the fractional bar

Given:

2/8 of the players are forwards.

Total number of players on the team = 12

We will determine the total number of forwards on the team by multiplying the total number of players by the fraction representing the forwards.

Fraction representing the forwards:

= 2/8

= 1/4

Total forwards on the team:

= 12 * (1/4)

= 3.

Translated question:

Of the 12 players on the team, 2/8 are forwards. What are the total forward in the team?

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To find the total amount of the investment after 6 years, we can use the formula for compound interest:

A = P(1 + r/n)^(nt)

Where:

A = the total amount after 6 years

P = the principal amount (the initial investment), which is 15000 in this case

r = the annual interest rate, which is 4.2% expressed as a decimal (0.042)

n = the number of times the interest is compounded per year, which is usually 12 for monthly compounding, 4 for quarterly compounding, and 1 for annual compounding

t = the number of years, which is 6 in this case

Plugging in the values, we get:

A = 15000(1 + 0.042/1)^(1*6)

A = 15000(1.042)^6

A = 15000(1.284)

A = 19260

Therefore, the total amount of the investment after 6 years is $19,260.

Answer:

8.9miles

Step-by-step explanation:

Kindly find attached a rough sketch of the dog's movement.

Step one:

given data:

let the movement southeast be x,=3.5miles

and let the movement northeast be y=8.2 miles

let the resultant be z

Step two:

The resultant vector can be found using the Pythagoras theorem

z^2=x^2+y^2

z=√x^2+y^2

substituting we have

z=√3.5^2+8.2^2

z=√12.25+67.24

z=√79.49

z=8.9miles

The question is incomplete:

Healthy Grains is planning a new design for its best-selling oatmeal. It has four containers to choose from. It costs the company $0.03 per cubic inch of oatmeal to fill a container. The company does not want the new container to cost more than $4.00 to fill. Which container should the company use? Use 3.14 for Pi.

Container A: A cylinder with height 7 inches and diameter 5 inches.

Container B: A cylinder with height 10 inches and B = 12.57 inches squared.

Container C: A cylinder with height 5.5 inches and radius 4 inches.

Container D: A cylinder with height 6 inches and radius 3 inches.

Answer:

Container B

Step-by-step explanation:

To find the answer you have to calculate the volume of each container and then, multiply that for $0.03 that is the cost per cubic inch to fill a container.

The formula to calculate the volume of a cylinder is:

V=πr^2h, where

r= radius

h= height

πr^2= base area

Container A:

The radius is half the diameter, so 5/2=2.5.

V= 3.14*(2.5^2)*7= 137.37

Cost= 137.37*0.03= 4.12

Container B:

12.57 inches is the base area, so:

V= 12.57*10= 125.7

Cost= 125.7*0.03= 3.77

Container C:

V= 3.14*(4^2)*5.5= 276.32

Cost= 276.32*0.03= 8.28

Container D:

V= 3.14*(3^2)*6

V= 169.56*0.03= 5.08

According to this, the answer is that the container that the company should use is container B because it costs less than $4.00 to fill.

Answer:

B. y = 58

Step-by-step explanation:

b) y=58 you follow the instructions

...............................................................................................................................................

The given quadratic function is      

y= 2x^2 - 2x - 2

We have to find the value of the function y at x=6.

Substitute x=6 in the given function.      

y= 2(6)^2 - 2(6) - 2

y= 2(36) - 12 - 2

y= 72 - 14

y= 58

The value of the function is 58 at x=6 is 58.

Therefore the correct option is B.

Answer:

22

Step-by-step explanation:

there are 8 people in the back of the line and 14 people in the front of the line. if you add how many people are in the back and the front you get22. 14+8=22

The total earnings for 634 hours can then be calculated using the hourly rate and the new number of hours worked. The hourly rate remains constant at $0.09 and the number of hours worked is 634.

Carly would earn $56.68 if she worked for 634 hours. This can be calculated using the following formula: Total Earnings = (Hourly Rate x Number of Hours Worked) In this case, the hourly rate is $0.09 and the number of hours worked is 634. Therefore, Total Earnings = ($0.09 x 634) Total Earnings = $56.68 .This calculation assumes that Carly has a consistent hourly rate for the total hours worked. If Carly's hourly rate changes, then the calculation for her total earnings would need to be adjusted accordingly. In this problem, the initial hourly rate is easily determined by taking the total amount earned (46.20) and dividing it by the number of hours worked (514). This gives an hourly rate of $0.09. The total earnings for 634 hours can then be calculated using the hourly rate and the new number of hours worked. The hourly rate remains constant at $0.09 and the number of hours worked is 634. Therefore, Total Earnings = ($0.09 x 634) Total Earnings = $56.68

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Answer:

Expand:

x^2+7x-2x-14

Answer:

x^2+5x-14

Step-by-step explanation:

Step-by-step explanation:

a.8<3+j

b.f+g=11

Hope it help

The percentage error by calculating by differentials to approximate value of sqrt(99.4) = 0.00045 percentage.

For   percentage error Here first we have to find the value of sqrt(99.4) by  normal calculation and second we will calculate it by differential method then we will find the percentage error .

To approximate sqrt(99.4)  we will  use formula for linear approximation as given below  

f(x) = f(c) + f′(c)(x−c)

and we are dealing with square root so we have to find the f(x) ad here

f(x) = √x

and we will calculate  f'(x)  and here it is

f'(x) = 1/(2√x)

Here, x=99.4 and we choose c =100 because that’s the closest perfect square number to 99.4. so

f(c) = f(100) = √100 = 10

f'(c) = f'(100) =1/(2√100) = 1/20

f(x) =f(c) + f′(c)(x−c)

f(x) = f(99.4)=f(100)+f'(100)(99.4-100)

=10+1/20*(-0.6)

=9.97

Here we find the value by differential = 9.97

and by simple calculation the value is = 9.96995486

ans percentage error = (real value - differential value)/100

= (9.96995486-9.97)/100 = 0.00045 percentage

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Answer:

6(y-2) would be 6y-12

Step-by-step explanation:

Answer: Answer below

Step-by-step explanation: So you would simply have to divide 8 into 72 which would be 9.

we can verify our answer by doing 9x8 which equals 72.

Answer: 9

Step-by-step explanation:

bears divided by shelves = number of bears per shelf

72 bears divided by 8 shelves= 9 bears per shelf

Answer: 720

Step-by-step explanation: if what you want are all possible three digit numbers with no repetition of the digits then you have 10 choices for the first digit, you have 9 choices for the 2nd digit, and you have 8 choices for the 3rd digit giving you 10x9x8 = 720 in all.

The expression that is equivalent to the composite function (f ° g) (5) is; Option A: f (5) times g (5)

A composite function is defined as an operation where two functions say f and g, generate a new function say h in such a way that h(x) = g(f(x)). It means here that function g is said to be applied to the function of x. So, this basically,l tells us that a function is applied to the result of another function.

We want to find (f ° g) (5)

This simply means f(5) × g(5)

The composite function definition demands that must be the expression of the the question and as such option A is the only correct option.

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Answer:

f(5) x g(5)

Step-by-step explanation:

(fg)(5) = (f x g)(5) = f(5) x g(5)

The axiom of regularity is a set theory principle which states that every non-empty set C contains an element that is disjoint from C.

The set theory concept rules that for every non-empty set C there is an element x of C such that x does not intersect C. The regularity axiom aims to establish that no non-empty set will have itself as an element.

The principle which is also called the axiom of foundation is a fundamental concept in set theory and credited to Zermelo–Fraenkel.

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The interest amount at December 31st is $93.33, and April 30th is $140.

To calculate the interest amounts at December 31st and April 30th, we need to consider the terms of the note and the time periods involved.

The note was accepted on November 1st, and it has a 180-day term with a 7% interest rate. December 31st falls 60 days after the acceptance of the note (180 days - 60 days remaining). April 30th falls 180 days after the acceptance of the note.

To calculate the interest amount at December 31st, we need to determine the interest accrued during the 60-day period. The formula for simple interest is:

Interest = Principal x Rate x Time

Given that the principal is $4,000 and the rate is 7%, we can substitute these values into the formula:

Interest at December 31st = $4,000 x 0.07 x (60/360) = $93.33

To calculate the interest amount at April 30th, we consider the full term of 180 days. Using the same formula:

Interest at April 30th = $4,000 x 0.07 x (180/360) = $140

The interest amount at December 31st is $93.33, and the interest amount at April 30th is $140.

These interest amounts represent the interest earned on the note over the specified time periods. The interest is accrued based on the principal amount, the interest rate, and the length of time the note is outstanding.

The calculation of interest allows the company to recognize the interest income earned from the note. This income contributes to the company's revenue and impacts its financial statements. By accurately calculating the interest amounts, Vital Company can ensure proper financial reporting and reflect the interest income in their financial statements for the corresponding periods.

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Answer:

Slope=6/4

Step-by-step explanation:

Slope formula\(= \frac{y_{1} -y_{2}}{x_{1}-x_{2} }\)

So we do : \(\frac{-1-5}{0-4}= \frac{-6}{-4} = \frac{6}{4}\)

The slope is 6/4

the 6th term is 51 and the 15th term is 132.

given that

first term is (a1) 6.

Common difference( d ) is 9.

To find the next term by adding the previous term and the common difference.

Take the term a1,a2,a3,a4... like that

now to find the second term, add the first term and common difference.

a2 = a1 + d

a2 = 6 + 9

a2 = 15

now to find the third term, add the second term term and common difference.

a3 = a2 + d

a3 = 15 + 9

a3 = 24

now to find the fourth term, add the third term and common difference.

a4 = a3 + d

a4 = 24 + 9

a4 = 33

now to find the fifth term, add the fourth term and common difference.

a5 = a4 + d

a5 = 33 + 9

a5 = 42

now to find the sixth term, add the fifth term and common difference.

a6 = a5 + d

a6 = 42 + 9

a6 = 51

now to find the seventh term, add the sixth term and common difference.

a7 = a6 + d

a7 = 51 + 9

a7 = 60

now to find the eighth term, add the seventh term and common difference.

a8 = a7 + d

a8 = 60 + 9

a8 = 69

now to find the nineth term, add the eighth term and common difference.

a9 = a8 + d

a9 = 69 + 9

a9 = 78

now to find the tenth term, add the nineth term and common difference.

a10 = a9 + d

a10 = 78 + 9

a10 = 87

now to find the 11th term, add the 10th term and common difference.

a11 = a10 + d

a11 = 87 + 9

a11 = 96

now to find the 12th term, add the 11th term and common difference.

a12 = a11 + d

a12 = 96 + 9

a12 = 105

now to find the 13 th term, add the 12th term and common difference.

a13 = a12 + d

a13 = 105 + 9

a13 = 114

now to find the 14th term, add the 13th term and common difference.

a14 = a13 + d

a14 = 114 + 9

a14 = 123

now to find the 15 th term, add the 14thterm and common difference.

a15 = a14 + d

a15 = 123 + 9

a15 = 132

Hence, the 6th term is 51 and the 15th term is 132.

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Write 2 equations, multiply amount bought per month by number of months and add to the starting values :

Marko = 45 + 4M

Tamara = 61 + 2M

Set the equations equal to each other and solve for number of months:

45 + 4m = 61 + 2m

Subtract 45 from both sides:

4m = 16 + 2m

Subtract 2m from both sides:

2m = 16

Divide both sides by 2:

m = 8

Answer: 8 months

In response to the stated question, we may state that As a result, an expressions adult black bear weighs 250 pounds.

An expression in mathematics is a collection of numbers, variables, and mathematical (such as addition, reduction, multiplication, division, exponentiation, etc.) that express a quantity or value. Expressions might be as basic as "3 + 4" or as complicated as "(3x2 - 2) / (x + 1)". They may also contain functions like "sin(x)" or "log(y)". Expressions can also be evaluated by substituting values for the variables and performing the mathematical operations in the order specified. If x = 2, for example, the formula "3x + 5" equals 3(2) + 5 = 11. Expressions are commonly used in mathematics to describe real-world situations, construct equations, and simplify complicated mathematical topics.

Let B represent the birth weight of a male black bear and A represent the mature weight. The ratio of B to A is supplied to us as 3:1000. As a result, we may write:

B/A = 3/1000

The average birth weight (B) is also reported as 12 ounces. We may use these data to get the average adult weight (A):

\(B/A = 3/1000\\12/A = 3/1000\\A = 12/(3/1000)\\A = 4000\)

A male black bear's typical mature weight is 4000 ounces.

To convert ounces to pounds, divide by 16 (since one pound contains 16 ounces):

\(4000/16 = 250\)

As a result, an adult black bear weighs 250 pounds.

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Step-by-step explanation:

The ability to influence another is a function of dependency hahahaja

2916 ft³

Volume helps describe the amount of space that a shape takes up.

Volume of a Sphere

Volume describes the 3-dimensional size of a shape. Since volume is a 3-D measurement, the units should be cubed; this explains why the answer is given in feet cubed. In order to find the volume, we need to use the radius. The radius of a sphere is the distance from the center to the outside. In this case, we are told that the radius is 9 ft.

Volume Formula

Every regular shape has its own volume formula. For a sphere, the formula is:

So, to find the volume, all we need to do is plug in the radius. For this sphere, r = 9.

When using 3 for pi, the volume of the sphere is 2916 ft³.

Answer:a, 2/3. b, 2/3. c,2/3

Step-by-step explanation:

To find the subtracted value, we need to calculate the multiplicative inverse of (4/3 - 4/9) and then subtract it from the sum of 7/12 and 7/8.

First, let's find the multiplicative inverse of (4/3 - 4/9):

Multiplicative inverse = 1 / (4/3 - 4/9)

To simplify the expression, we need a common denominator:

Multiplicative inverse = 1 / ((12/9) - (4/9))

= 1 / (8/9)

= 9/8

Now, we need to subtract the multiplicative inverse from the sum of 7/12 and 7/8:

Subtracted value = (7/12 + 7/8) - (9/8)

To perform this calculation, we need a common denominator:

Subtracted value = (7/12 * 2/2 + 7/8 * 3/3) - (9/8)

= (14/24 + 21/24) - (9/8)

= 35/24 - 9/8

To simplify further, we need a common denominator:

Subtracted value = (35/24 * 1/1) - (9/8 * 3/3)

= 35/24 - 27/24

= 8/24

= 1/3

Therefore, subtracting 1/3 from the sum of 7/12 and 7/8 will give you the multiplicative inverse of (4/3 - 4/9).

The resultant normal force at point D along the x-direction is \(F_D_x=0\) and  the resultant shear force at point D along the y-direction is \(F_D_y=154.29N\)

Consider the equilibrium of the shaft.

Resolve the forces along the y-direction.

\(R_A_y+R_B_y=200+200+80+80R_A_y+R_B_y=560-----(1)\)

Take moments about point B and about the z-axis:

\(R_A_y*1.4=2*100*0.7+2*80*0.4\\\\R_A_y=245.71\)

Substitute the above value in equation (1).

\(245.71+R_B_y=560\\\\R_B_y=314.29N\)

Resolve the forces along the z-direction.

\(R_A_z+R_B_z=385+385R_A_z+R_B_z=770-----(2)\)

Take moments about point B and about the y-axis:

\(R_A_z*1.4=2*385*1.1\\\\R_A_z=605N\)

Substitute the above value in equation (2).

\(605+R_B_z=770\\\\R_B_z=165N\)

a) The resultant normal force at point D along the x-direction is

\(F_D_x=0\)  

b) The resultant shear force at point D along the y-direction is

\(F_D_y-R_B_y+2*80=0\\\\F_D_y-314.29+160=0\\F_D_y=154.29N\)

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Answer:

-9/7

Step-by-step

Slope Formula:

\(\frac{y_2-y_1}{x_2-x_1}\)

We can plug in the numbers 7 and -2 for the y and -4 and 3 for x

\(\frac{7-(-2)}{-4-3} =\frac{9}{-7}\)

Answer:

Tyshawn would have to sell 6 computers on a given day to get paid $225

Step-by-step explanation:

We can use the information in the table to find the equation of the linear relationship between a (the number of computer sales) and p (Tyshawn's total pay):p = 75 + 25aThis equation tells us that Tyshawn's total pay is $75 plus $25 for each computer he sells.To find out how many computers Tyshawn would have to sell in order to get paid $225 on a given day, we can substitute p = 225 into the equation and solve for a:225 = 75 + 25a150 = 25aa = 6

Answer:

constant is - 19

Step-by-step explanation:

the constant is the term in an expression with no variable attached to it.

12r + \(\frac{r}{2}\) - 19

the only term without the variable r attached to it is - 19

then the constant term is - 19