which equation represents the pattern in the table below
a.) s = c+4
b.) s= 4c
c.) c= s + 4
d.) c= 4s

Answer:   B. 34°

Step-by-step explanation:

∠RQS + ∠SQT = ∠RQT

[tex]\bigg(\dfrac{1}{2}x+4\bigg)+\bigg(\dfrac{3}{4}x-6\bigg)=2x-47\\\\\\.\qquad\qquad\qquad\dfrac{5}{4}x-2=2x-47\\\\\\.\qquad\qquad\qquad\quad -2=\dfrac{3}{4}x-47\\\\\\.\qquad\qquad\qquad\qquad 45=\dfrac{3}{4}x\\\\\\.\qquad\qquad\qquad\qquad 180=3x\\\\\\.\qquad\qquad\qquad\qquad 60=x[/tex]

[tex]\angle RQS=\dfrac{1}{2}x+4\\\\.\qquad=\dfrac{1}{2}(60)+4\\\\.\qquad=30+4\\\\.\qquad=34[/tex]

Answer:

option B

4 a^4 /b

Step-by-step explanation:

Given in the question an expression

√(16 a^8 b^-2)

This expression can also be written as

√16 . √a^8 . √b^-2

Now as we know that

√16  = √4² = 4

√a^8 = √(a². a² . a² . a²)  =  √a².√ a².√ a².√ a²  =  a . a . a . a  =  a^4

√b^-2 = √1/b² = √1 ÷ √b² = 1 ÷ b = 1/b

Rearranging them

4 a^4 1/b = 4 a^4/b

The simplified form of √(16 a^8 b^-2) is indeed 4a^4/b, which is equivalent to the original expression. therefore, option b. 4a^4/b is correct.

The given expression, √(16 a^8 b^-2), can be simplified as follows:

√(16 a^8 b^-2) = √16 * √(a^8) * √(b^-2)

Breaking it down:

√16 = √(4^2) = 4

√(a^8) = √(a^4 * a^4) = √(a^4) * √(a^4) = a^4 * a^4 = a^8

√(b^-2) = √(1/b^2) = 1/b

Now, rearranging these results:

4 * a^8 * (1/b) = 4a^8/b

So, the simplified form of √(16 a^8 b^-2) is indeed 4a^4/b, which is equivalent to the original expression. This simplified form retains the same meaning as the original expression.

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Answer:

the asnwer will be 2,1

Step-by-step explanation:

The solution of the equations is (2,1)

Finding the point of intersection of equations by plotting on the graph paper is called solving by graphing method.

In the attached graph below,

The solution of the equations is (2,1)

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Answer:

A) 40 in.^3

Step-by-step explanation:

volume = (1/3)(LWh)

volume = (1/3)(5 in.)(3 in.)(8 in.)

volume = 40 in.^3

Answer:

40.^3

Step-by-step explanation:

took the test

Simplify 6 - 25 to -19

18 + 3| -19 | - 11

Simplify | -19 | to 19

18 + 3 × 19 - 11

Simplify 3 × 19 to 57

18 + 57 - 11

Simplify

= 64

Answer:

Pi is not a terminating decimal

Step-by-step explanation:

1234567890

Answer:

Yes!

Step-by-step explanation:

3.14 ends and it does not repeat. Otherwise it would be a repeating decimal.

Answer:

b=16

Step-by-step explanation:

12*100=1200

1200/75

------------------

16

Check

16*0.75=12

A=1 B=1 C=-4 , you look at the numbers in order ! X is always going to be a 1.

30 is the answer :))))

Answer:

[tex]-2x+3y=21[/tex]

Step-by-step explanation:

The equation was given to us in slope-intercept form.

Thus;

[tex]y=\frac{2}{3}x+7[/tex]

We multiply each term by 3 to obtain;

[tex]3y=2x+21[/tex]

We add [tex]-2x[/tex] to both sides to obtain;

[tex]-2x+3y=21[/tex]

This equation is in the form;

[tex]ax+by=c[/tex] (standard form).

The correct choice is D.

Answer:

-2x+3y = 21

Step-by-step explanation:

We have given a equation in slope-intercept form .

y = 2/3x+7

We have to rewrite above equation in standard form.

The standard form of equation is :

Ax+By = C

Multiplying by 3 to both sides of above equation, we have

3y = 3(2/3x+7)

3y = 2x+21

Adding -2x to both sides of above equation, we have

-2x+3y = -2x+2x+21

-2x+3y = 21 which is standard form of given equation.

3×6/8 reduce is 3× 3/4= 3/1×3/4=9/4 or 2 1/4

Final answer:

To rewrite 3 x 6/8 as the product of a unit fraction and a whole number, simplify 6/8 to 3/4, and then express 3/4 in terms of the unit fraction 1/4 multiplied by 9, resulting in the expression 9 x 1/4.

Explanation:

To rewrite 3 x 6/8 as the product of a unit fraction and a whole number, we first look at the fraction 6/8. The fraction can be simplified by dividing both the numerator and the denominator by the common factor which is 2. This gives us the simplified fraction of 3/4. Now, a unit fraction is a fraction where the numerator is 1. To turn 3/4 into a unit fraction, we can multiply it by the whole number 3, because 3 x 3/4 equals 9/4. However, 9/4 is not a unit fraction. Therefore, to represent this expression as a product of a unit fraction and a whole number, we see that each 3/4 in the total of 3 times 3/4 can be expressed as 1 times the whole number 3, making the unit fraction 1/4. The correct expression would then be 9 x 1/4.

Answer:   [tex]b)\quad \dfrac{4x^6z^4}{9y^4}[/tex]

Step-by-step explanation:

[tex].\quad \dfrac{16x^{4}y^{-3}z^{4}}{36x^{-2}y^{1}z^0}\\\\\\=\dfrac{4(4)\cdot x^{4+2}\cdot y^{-3+3}\cdot z^{4}}{4(9)\cdot x^{-2+2}\cdot y^{1+3}\cdot 1}\\\\\\=\dfrac{4x^6z^4}{9y^4}[/tex]

The answer is b: 15 m, 20m, 25m

6/(1/3)= 18

6(3)=18

the answer would be c

Answer:

option C

18 Flowerpots

Step-by-step explanation:

6 ÷ 1/3

6 × 3/1 = 18/1 = 18

Answer:

3/8

Step-by-step explanation:

another way of writing 1/2 is 4/8, so now it should be easy.  if you have 7/8 and sell 4/8 that leaves 3/8

Answer: 3/8

Step-by-step explanation:

Answer:

p = 48.2

Step-by-step explanation:

p = 2L + 2w

p = 2(8.3) + 2(15.8)

p = 16.6 + 31.6

p = 48.2

Answer:

P = 48.2 ft

Step-by-step explanation:

P =2l+2w

Given: l  = 8.3 ft and w = 15.8 ft

Plug in

P =2(8.3) + 2(15.8)

P = 16.6 + 31.6

P = 48.2 ft

Final answer:

To find out how much will be in the account after 22 years with an annual interest rate of 8.25%, the compound interest formula [tex]A = P(1 + r/n)^{nt}[/tex] is used, resulting in approximately $21739.63.

Explanation:

To calculate how much money will be in the account after 22 years with an annual interest rate of 8.25%, we will use the compound interest formula:

[tex]A = P(1 + r/n)^{nt}[/tex]

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 (decimal).

n is the number of times that interest is compounded per year.

t is the time the money is invested for, in years.

In this case:

P = $4400

r = 8.25% or 0.0825

n = 1 (since it's compounded annually)

t = 22 years

We plug these values into the compound interest formula:

[tex]A = 4400(1 + 0.0825/1)^{1*22}[/tex]

After calculating:

[tex]A = 4400(1 + 0.0825)^{22}[/tex]

[tex]A = 4400(1.0825)^{22}[/tex]

A comes out to approximately $21739.63, which is the total amount in the account to the nearest cent after 22 years.

Answer:

Part a) The exterior surface area is equal to [tex]160\ ft^{2}[/tex]

Part b) The volume is equal to [tex]240\ ft^{3}[/tex]

Part c) The volume water left in the trough will be [tex]84\ ft^{3}[/tex]

Step-by-step explanation:

Part a) we know that

The exterior surface area is equal to the area of both trapezoids plus the area of both rectangles

so

Find the area of two rectangles

[tex]A=2[12*5]=120\ ft^{2}[/tex]

Find the area of two trapezoids

[tex]A=2[\frac{1}{2}(8+2)h][/tex]

Applying Pythagoras theorem calculate the height h

[tex]h^{2}=5^{2}-3^{2}[/tex]

[tex]h^{2}=16[/tex]

[tex]h=4\ ft[/tex]

substitute the value of h to find the area

[tex]A=2[\frac{1}{2}(8+2)(4)]=40\ ft^{2}[/tex]

The exterior surface area is equal to

[tex]120\ ft^{2}+40\ ft^{2}=160\ ft^{2}[/tex]

Part b) Find the volume

We know that

The volume is equal to

[tex]V=BL[/tex]

where

B is the area of the trapezoidal face

L is the length of the trough

we have

[tex]B=20\ ft^{2}[/tex]

[tex]L=12\ ft[/tex]

substitute

[tex]V=20(12)=240\ ft^{3}[/tex]

Part c)

step 1

Calculate the area of the trapezoid for h=2 ft (the half)

the length of the midsegment of the trapezoid is (8+2)/2=5 ft

[tex]A=\frac{1}{2}(5+2)(2)=7\ ft^{2}[/tex]

step 2

Find the volume

The volume is equal to

[tex]V=BL[/tex]

where

B is the area of the trapezoidal face

L is the length of the trough

we have

[tex]B=7\ ft^{2}[/tex]

[tex]L=12\ ft[/tex]

substitute

[tex]V=7(12)=84\ ft^{3}[/tex]

Answer:

Step-by-step explanation:

include the striking deviation because it may explain an unusual occurrence is correct. Striking deviations or outliers can be useful in describing data set.

Answer:

Hilda needs 64 ft² of tile

8601 in² will be uncovered post mounting

Step-by-step explanation:

Ar=10•6=60 ft²

At=[4•2]/2=8/2=4 ft²

total area=Ar+At=60+4=64ft²

......

Atv=31•57=1767 in²

Aw=(12•8)•(9•12)=10368 in²

Au=Aw-Atv=10368-1767=8601 in²

Hilda will need 64 square feet of tile to cover the space. Francine will have 8601 square inches of the wall not covered by the TV once it is mounted.

To determine how many square feet of tile Hilda will need, let's calculate the area of both the rectangular and triangular parts separately and then sum them up. The area of the rectangle can be found by multiplying the length and the width, so we have:
10 feet * 6 feet = 60 square feet.
Next, we calculate the triangular area using the formula for the area of a triangle (A = base * height / 2), giving us:
4 feet * 2 feet / 2 = 4 square feet.
Adding both areas gives us a total of:
60 square feet + 4 square feet = 64 square feet needed for tiling.

For Francine's TV and the uncovered wall area, we first convert the wall measurements to inches (1 foot = 12 inches):
8 feet = 96 inches wide
9 feet = 108 inches tall
Then we calculate the area of the wall and subtract the TV's area:
Wall area: 96 inches * 108 inches = 10368 square inches
TV area: 31 inches * 57 inches = 1767 square inches
Uncovered wall area:
10368 square inches - 1767 square inches = 8601 square inches.

Final answer:

The profit function p(x) for selling x shirts is p(x) = 8x - 20, which is found by subtracting the cost function c(x) from the revenue function r(x).

Explanation:

Profit Function

To find the profit function p(x), we subtract the cost function c(x) from the revenue function r(x). Given that r(x) = 15x and c(x) = 7x + 20, the profit function is calculated as follows:

p(x) = r(x) - c(x)

p(x) = 15x - (7x + 20)

Simplifying the equation, we combine like terms:

p(x) = 15x - 7x - 20

p(x) = 8x - 20

Thus, the profit from selling x shirts is p(x) = 8x - 20.

Answer:

[tex]\large\boxed{1,052\ cm^3=1.052\ liters}[/tex]

Step-by-step explanation:

[tex]1Liter=1dm^3\\\\1dm=10cm\to1dm^3=(10cm)^3=1,000cm^3\\\\1052\ cm^3=\dfrac{1,052}{1,000}dm^3=1.052\ dm^3=1.052\ Liters[/tex]

Answer:

15 teams, 4 girls and 3 boys on each team.

Step-by-step explanation:

What's the greatest common multiple of 60 and 45?  It's 15.

This is the greatest number of teams that can be formed.

60/15 = 4; thus, there will be 4 girls on each team.

45/15 = 3; thus, 3 boys on each team

The greatest number of co-ed basketball teams that can be formed with an equal number of girls and boys is 3, with each team consisting of 4 girls and 3 boys.

To determine the greatest number of co-ed basketball teams that can enter the tournament with an equal number of girls and boys, you need to find the greatest common divisor (GCD) of the number of girls and boys. In this case, we have 60 girls and 45 boys. The GCD of 60 and 45 is 15, which means the largest number of teams that can be formed where each team has the same number of girls and boys is 15 (since 60 \/ 15 = 4 girls per team and 45 \/ 15 = 3 boys per team).

Answer 1: The greatest number of teams that can enter are 3 teams.

Answer 2: There would be 4 girls and 3 boys on each team.

[tex]\sqrt[3]{x^2y^2} = (x^2y^2)^{\frac 1 3} = x^{\frac 2 3}y ^{\frac 2 3}[/tex]

Answer:  [tex]\bold{x^{\frac{2}{3}}y^{\frac{2}{3}}}[/tex]

Step-by-step explanation:

[tex]\sqrt[3]{x^2y^2}=\sqrt[3]{(xy)^2}=(xy)^{\frac{2}{3}}=x^{\frac{2}{3}}y^{\frac{2}{3}}[/tex]

So Not A rational Number

I think :)

Good Luck:)))

Answer:

The correct one would be A

Step-by-step explanation:

Because 6/10 is equivalent to 3/5

The answer is the first one, or A.

Answer: 39.6<39.61

Step-by-step explanation: 39.6 is equal to 39.60 and 60 is greater than 1.

Answer:

39.6 is less than 39.61

Step-by-step explanation:

Answer:

85/100

Step-by-step explanation: