The data set represents the number of miles Mary jogged each day for the past nine days

Answer:

(f+g)(x)=5/3x−2

Step-by-step explanation:

(f+g)(x)=f(x)+g(x)

f(x)=2x+1 + g(x)=−1/3 x−3

add like terms

2x+(-1/3 x)=5/3 x

1+(-3)= -2

so...

(f+g)(x)=5/3 x−2

Answer:

Step-by-step explanation:

B because .06 + .12 = .18 which is 18% out of 250 people

Hello, I'm Eric. I'll be trying my best to assist you on your question today.

0.12 is 12 percent.

We also have the 0.06 percent which would just be 6 percent

We need to add up those percentages to get 18 percent, for the people surveyed that cannot swim would be 18 percent.  

Our final answer is D.

Not the right answer or confused? Reply to this question for help.

Enjoy your day - Eric

20 + 2 units square root 10 units

Answer: The correct answer is 3

Step-by-step explanation:

4³ = 64

The way to check your work is to multiply 4 x 4 x 4:

16 x 4 = 64

It's just 64 = 4^3

4 * 4 * 4 = 64

The answer should be 1/2.

Answer:

The answer is 1/2!

Step-by-step explanation:

Answer:

50+60=110

Step-by-step explanation:

multiply 10 by 5 and 12 by 5 to get 50 and 60 add them together to get 110.

Answer:

A =  ½bh + lw  

Step-by-step explanation:

Your composite figure is a triangle on top of a rectangle.

The formula for the area of a triangle is    A = ½bh.

The formula for the area of a rectangle is A =    lw.

The formula for the total area is

A =  ½bh + lw.

28 less means subtract 28

7 times a number means7x

is means equals

20 more than a number means x +20

the equation is 7x-28 =x+20

to solve combine like terms

7x-x=20+28

6x=48 divide by 6 on both sides to isolate x

x=8

Answer: 28

Step-by-step explanation:

Yes

Answer:

x + y = 4

Step-by-step explanation:

To write the equation of the line use the point slope form. Then convert to the standard from. Begin by substituting m = -1 and (-2,6).

[tex]y - y_1 = m(x-x_1)\\y - 6 = -1(x --2)\\y - 6 = -1(x+2)\\y - 6 = -x -2\\x + y - 6 = -2\\x + y = 4[/tex]

The volume [tex]V_c[/tex] of a cone  with base radius [tex]r_c[/tex] and height [tex]h_c[/tex] is

[tex]V_c = \dfrac{1}{3}\pi r_c^2 h_c[/tex]

Similarly, the volume [tex]V_s[/tex] of a sphere with radius [tex]r_s[/tex] is

[tex]V_s = \dfrac{4}{3}\pi r_s^3[/tex]

We know that [tex]V_c=V_s[/tex] and that [tex]h_c=96[/tex]

So, we can set up the following equation:

[tex]\dfrac{96}{3}\pi r_c^2=\dfrac{4}{3}\pi r_s^3[/tex]

We can simplify the common denominator 3, and pi appearing on both sides:

[tex]96r_c^2=4r_s^3[/tex]

We can divide both sides by 4:

[tex]24r_c^2=r_s^3[/tex]

Without further information, this is all we can say: the cubed radius of the sphere is the same as 24 times the squared radius of the cone.

The values for the radius of the cone and the sphere is 24 units.

It is given that a cone and a sphere have the same volume.

It is required to find the radius of the cone and sphere if the height of the cone is 96.

It is defined as a three-dimensional space enclosed by an object or thing.

We know the volume of the cone:

[tex]\rm V_c = \pi R^2\frac{H}{3}[/tex]

Where R is the radius of the cone and H is the height of the cone.

And the volume of the sphere:

[tex]\rm V_s = \frac{4}{3} \pi r^3[/tex]

Where r is the radius of the sphere.

[tex]\rm V_c = V_s[/tex]      (From the question)

[tex]\rm \pi R^2\frac{H}{3}=\rm \frac{4}{3} \pi r^3[/tex]

[tex]\rm \pi R^2\frac{96}{3}=\rm \frac{4}{3} \pi r^3[/tex]    ( H = 96 units)

[tex]\rm 32R^2=\rm \frac{4}{3} r^3[/tex]

[tex]\rm 24R^2= r^3[/tex]

We are assuming that R = r

[tex]\rm 24r^2= r^3[/tex]

r = 24 units and

R = 24 units.

Thus, the values for the radius of the cone and the sphere is 24 units.

Learn more about the volume here:

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Answer:

The perimeter of the trapezoid is [tex]38.25\ units[/tex]

Step-by-step explanation:

we know that

The perimeter of the trapezoid is the sum of its four side lengths

so

In this problem

[tex]P=QR+RS+ST+QT[/tex]

the formula to calculate the distance between two points is equal to

[tex]d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}[/tex]

we have

[tex]Q(8, 8), R(14, 16), S(20, 16),T(22, 8)[/tex]

step 1

Find the distance QR

[tex]Q(8, 8), R(14, 16)[/tex]

substitute the values in the formula

[tex]d=\sqrt{(16-8)^{2}+(14-8)^{2}}[/tex]

[tex]d=\sqrt{(8)^{2}+(6)^{2}}[/tex]

[tex]d=\sqrt{100}[/tex]

[tex]QR=10\ units[/tex]

step 2

Find the distance RS

[tex]R(14, 16), S(20, 16)[/tex]

substitute the values in the formula

[tex]d=\sqrt{(16-16)^{2}+(20-14)^{2}}[/tex]

[tex]d=\sqrt{(0)^{2}+(6)^{2}}[/tex]

[tex]d=\sqrt{36}[/tex]

[tex]RS=6\ units[/tex]

step 3

Find the distance ST

[tex]S(20, 16),T(22, 8)[/tex]

substitute the values in the formula

[tex]d=\sqrt{(8-16)^{2}+(22-20)^{2}}[/tex]

[tex]d=\sqrt{(-8)^{2}+(2)^{2}}[/tex]

[tex]d=\sqrt{68}[/tex]

[tex]ST=8.25\ units[/tex]

step 4

Find the distance QT

[tex]Q(8, 8),T(22, 8)[/tex]

substitute the values in the formula

[tex]d=\sqrt{(8-8)^{2}+(22-8)^{2}}[/tex]

[tex]d=\sqrt{(0)^{2}+(14)^{2}}[/tex]

[tex]d=\sqrt{196}[/tex]

[tex]QT=14\ units[/tex]

step 5

Find the perimeter

[tex]P=10+6+8.25+14=38.25\ units[/tex]

Answer:

420 inches

Step-by-step explanation:

There are twleve inches in one foot.

(35) (12) = 420

Answer:

420 in.

Step-by-step explanation:

Going from a bigger unit to a smaller unit, you multiply 12 by 35 to get 420.

I am joyous to assist you anytime.

106,68 dm. = 35 ft. :]

Answer:

B.) 84,500

Step-by-step explanation:

$82,500 is the morgage right now. but an additional $2,000 is added.

82,500 + 2,000 = 84,500

$84,500

Hoped this helped! Please mark as brainliest! thanks!

Answer:

Step-by-step explanation:

The area would be 25 square centimeter

Answer:

Ratio

Step-by-step explanation:

A ratio is a comparison of two numbers by division.

A ratio is a comparison of two numbers by division.  It compares two quantities measured in the same units.

Ratios compare two quantities measured in the same units. Ratios have no units. They are expressed as a fraction in simplest form.

A ratio compares two numbers by division. In scientific notation, you divide the numbers out front and subtract the exponents. For the logarithm of a number resulting from division, the difference between the logarithms of two numbers is calculated.

A ratio is what compares two numbers by division. It's a way of comparing or relating one amount to another. For example, if we have 10 apples and 5 oranges, the ratio of apples to oranges is 10 to 5, which can also be expressed through division as 10/5 (which simplifies to 2).

In cases involving scientific notation, division can be handled by performing the division upfront and then subtracting the exponents. When working with the logarithm of a number resulting from division, the result would be the difference between the logarithms of the two original numbers.

Consider the following scientific notation division example: given 106 and 103, you would first divide the 'numbers out front', in this case, 1 divided by 1 equals 1. Then you subtract the exponents, 6 minus 3, which equals 3. Thus, 106 divided by 103 equals 103.

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Answer:

18

Step-by-step explanation:

The multiples of 6 are : 6, 12, 18, 24, 30, ......

The multiples of 2 are : 2, 4, 6, 8, 10, 12, 14, 16, 18, 20,  ......

The multiples of 9 are : 9, 18, 27, 36, ......

The common multiple is 18

The least common multiple is 18

Answer:

[tex]54-(p*s)[/tex]

Step-by-step explanation:

we know that

To find out how many pencils the teacher has left, subtract the quantity of p*s from 54

so

[tex]54-(p*s)[/tex]

Answer:

54-(p times s)

Step-by-step explanation:

Answer:

12 units

Step-by-step explanation:

by the pythagorean relation,

x^2 + 9^2 = 15^2

x^2 + 81   = 225

x^2           = 144

x               = 12 units

Answer:

x^2 = 15^2 – 9^2

Step-by-step explanation:

Answer:

h = 24 cm

Step-by-step explanation:

The formula for area of a triangle is

A = (1/2)bh     where b is the base and h is the height.

We are told that the base is 5 times the height, this translates to

b = 5h, so we can rewrite our formula to

A = (1/2)(5h)(h)  or

A = (1/2)5h²

We are given A = 1,440, so plug that in and solve for h...

1,440 = (1/2)5h²

    2,880 = 5h²    (multiply both sides by 2 to get rid of the fraction)

      576 = h²    (divide both sides by 5 to get the h value by itself)

         24 = h     (take the square root of both sides)

Answer:

A+7

Step-by-step explanation:

Answer:  a) 27

Step-by-step explanation:

[tex]81^{\frac{3}{4}}=(3^4)^{\frac{3}{4}}=3^{\frac{12}{4}}=3^3=\boxed{27}[/tex]

Answer:

option C

ȳ = 9

Step-by-step explanation:

ȳ (yBar) is used to represent mean value of y

Mean, which is the average score of the population on a given variable

It is represented by = ( Σ Xi ) / N

There are two steps to calculate mean value

sum of all numbers = 3 + 7 + 8 + 11 + 16

                                = 45

    2. Divide by how number of ys (there are 5 numbers)

45 / 5 = 9

So ȳ = 9

Final answer:

You will have 8 slices from the 3-inch cucumber and 13 slices from the 5-inch cucumber.

Explanation:

To determine the number of slices you will have, you need to divide the length of each cucumber by the thickness of the slices. Let's start with the 3-inch cucumber:

3 inches / (3/8 inches) = 8 slices

Now let's calculate the slices for the 5-inch cucumber:

5 inches / (3/8 inches) = 13.33 slices

Since you cannot have a fraction of a slice, round down to the nearest whole number. Therefore, you will have 8 slices from the 3-inch cucumber and 13 slices from the 5-inch cucumber.

Answer:

142

Step-by-step explanation:

The line underneath the straight angle is a straight line, meaning it is 180 degrees. 180-38= 142

A straight line is 180 degrees.

180-38=142

142 degrees is the answer.

Answer:

$45

Step-by-step explanation:

I used a compound interest calculator

Rob will have $1044.89 in his account at the end of one year. The APY for this account is 4.47%.

The subject of the question is related to calculating the final balance of a savings account that earns compound interest. In Rob's case, he deposits $1000 in a bank account that pays 4.4% interest compounded monthly. In order to calculate the balance at the end of the year, we can use the formula for compound interest: A = P(1 + r/n)^(nt), where A is the amount of money accumulated after n years, including interest, P is the principal amount (the initial amount of money), r is the annual interest rate (in decimal), n is the number of times that interest is compounded per year, and t is the time the money is invested for in years.

To find Rob's account balance at the end of one year, we would substitute the values into the formula as follows: A = 1000(1 + 0.044/12)^(12*1) = $1044.89. This means Rob will have $1044.89 in his account at the end of one year. The APY (Annual Percentage Yield) for this account is closer to the nominal rate due to the effect of monthly compounding, which follows the formula APY = (1 + r/n)^(nt) - 1. Substituting the values gives us, APY = (1+ 0.044/12)^(12) - 1 = 0.044682, which is approximately 4.47 after converting to percentage and rounding to the nearest hundredth of a percent.

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Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

Use the Pythagorean theorem:

[tex]c^2=a^2+b^2[/tex]

a,b - legs

c - hypotenuse

We have c = x, a = 7 and b = 24. Substitute:

[tex]x^2=7^2+24^2\\\\x^2=49+576\\\\x^2=625\to x=\sqrt{625}\\\\x=25[/tex]

Answer:

X = 3.5

Step-by-step explanation:

First, we distribute the 4 inside of the parentheses.

4 * 6x = 24x

4 * -9.5 = -38

We now have 24x -38 = 46

Now, we will add 38 to each side to isolate the x.

24x - 38 = 46

+38 +38

We now have 24x = 84

Finally, we will divide each side by 24 to find out what x equals.

24x = 84

— —

24 24

We now have x = 3.5

So, our answer is x = 3.5

I hope I helped!

Let me know if you need anything else!

~ Zoe

Answer:

X = 3.5

Step-by-step explanation:

First, we distribute the 4 inside of the parentheses.

4 * 6x = 24x

4 * -9.5 = -38

We now have 24x -38 = 46

Now, we will add 38 to each side to isolate the x.

24x - 38 = 46

+38 +38

We now have 24x = 84

Finally, we will divide each side by 24 to find out what x equals.

24x = 84

— —

24 24

We now have x = 3.5

So, our answer is x = 3.5

Answer:

Divide ten by the price of the apples.

Cos(x)=20/25

X=cos-1(20/25)

=36.86989765

=B