Identify the value of y.
7(5-5y) = 9y-4-357

The volume of each birthday hat is 56.55 in³ and the 12 hats has a total volume of 678.58 in³

Volume is the amount of space occupied by a three dimensional shape or object.

The volume of a cone is given by:

volume = (1/3) * π * radius² * height

The cone that has a height of 6 inches and a radius of 3 inches. Hence:

Volume = (1/3) * π * 3² * 6 = 56.55 in³

For 12 hats:

Volume = 12 *  56.55 in³ = 678.58 in³

The volume of each birthday hat is 56.55 in³ and the 12 hats has a total volume of 678.58 in³

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Answer:

V=4960in^3

S.A=2116in^2

Step-by-step explanation:

36x2

1- 72in^2

5-2=3in

8x3

2- =24in^2

5-2=3in

5+3=8in

8x10

3- =80in^2

36-(10+8)=

0.5×18×8

4-=72in^2

72+24+80+721

C.S.A=248in^2

V= 248×20

=4960in^3

248x2

1- =496in^2

36x20

2- =720in^2

20×2

3- =40in^2

20×5

4- =100in^2

20×8

5- =160in^2

20×20

6- =400in^2

20×10

7- =200in^2

=496+720+40+100+160+400+200

=2116in^2

The expected count that can be deduced from the arrivals to the second compartment will be 200.

It should be noted that in order to perform a goodness of fit test, the expected number of rats that are in each compartment will be gotten.

Therefore, the expected number of rats that will be in the second compartment will be:

= 1/5 × 1000

= 200

In conclusion, the correct option is 200.

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Answer:

The maximum profit is $854

Step-by-step explanation:

Profit is the difference between the revenue and the cost price of an item. It is given by:

Profit = selling price - cost price

Since x represent the profit made by the company, is related to the selling price of each widget, x and it is given by the formula:

y = -3x² + 155x - 1148

At maximum profit, dy/dx = 0, hence:

dy/dx = -6x + 155

0 = -6x + 155

6x = 155

x = 25.83

The maximum profit is at gotten when the selling price of each widget is 25.83. Hence:

y = -3(25.83)² - 155(25.83) - 1148

y = $854

Therefore the maximum profit is $854

Answer:

Volume = a.b.c = k^3  

Step-by-step explanation:

Volume = a * 22.5 * 12 = 4320

a = 16 inches

Answer:

the average rate of change is D. -4

Answer:

89

Step-by-step explanation:

Answer:

It would be,

The people who volunteer usually have a motive to do so and will be the only ones represented.

Step-by-step explanation:

Answer:

slope = [tex]\frac{1}{5}[/tex]

Step-by-step explanation:

calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (9, 6 ) and (x₂, y₂ ) = (4, 5 )

m = [tex]\frac{5-6}{4-9}[/tex] = [tex]\frac{-1}{-5}[/tex] = [tex]\frac{1}{5}[/tex]

Answer:

Shown above

Step-by-step explanation:

Sorry for my untidy handwriting

Answer:

8

Step-by-step explanation:

The required, following the given condition of the equation model,  8 times 8 equals 64.

We start with the equation 8x = 64, where x represents the unknown value we're trying to find. The equation states that when we multiply 8 by x, the result is 64.

To solve for x, we want to isolate it on one side of the equation. In this case, we can achieve this by dividing both sides of the equation by 8. Dividing both sides by 8 gives us:

8x = 64

(8x) / 8 = 64 / 8

Simplifying, we have:

x = 8

Therefore, 8 times 8 equals 64.

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Answer:

C.80

Step-by-step explanation:

37.9% of 192.3

=37.9/100 × 192.3

=0.379×192.3

=72.8817

≈80 (possible answer)

Answer:3

Step-by-step explanation:

Answer:

1/5

Step-by-step explanation:

Hope this helps

Answer:

The one on top is y^8 - 1/y^8   (option 1)

The one on the bottom is 1/y^8 + 1/y^2  (option 5)

Answer:

4

Step-by-step explanation:

Answer:

Option 4 is correct.

Step-by-step explanation:

To find: Polynomial whose solution are not real numbers.

Given Polynomials are Quadratic Polynomial.

So, we can check if solution of quadratic polynomial by find & checking value of discriminant.

Standard form of Quadratic polynomial is given by

ax² + bx + c

then Discriminant, D = b² - 4ac

If, D > 0 ⇒ Solutions are distinct real numbers

if, D = 0 ⇒ Solutions are equal real numbers

if, D < 0 ⇒ Solutions are not real numbers (They are complex conjugates)

Option A:

By comparing with standard form

a = 1 , b = -6 , c = 3

D = (-6)² - 4 × 1 × 3 = 36 - 12 = 24 > 0

Thus, Solutions are Real numbers.

Option B:

By comparing with standard form

a = 1 , b = 4 , c = 3

D = (4)² - 4 × 1 × 3 = 16 - 12 = 4 > 0

Thus, Solutions are Real numbers.

Option C:

By comparing with standard form

a = -1 , b = -9 , c =-10

D = (-9)² - 4 × (-1) × (-10) = 81 - 40 = 41 > 0

Thus, Solutions are Real numbers.

Option D:

By comparing with standard form

a = 1 , b = 2 , c = 3

D = (2)² - 4 × 1 × 3 = 4 - 12 = -8 < 0

Thus, Solutions are not Real numbers.

Therefore, Option 4 is correct.

Answer:

I(1, -4)

Step-by-step explanation:

(-4, -1) is in Quadrant 3 where x and y are negative

when it's rotated 90 ccw it will become in Quadrant 4 where x is positive and y is negative

and also the values of x and y switches

so the answer will be I(1, -4)

Answer:

Step-by-step explanation:

In order to find which prisms have the same, we use the formula:

A = L x W x H (Area = Length x Width x Height)

So, count the individual squares on each side, multiply them, and that is the area. Then, find which ones are the same:

Cube 1: A = 4 x 4 x 3 = 48

Cube 2: A = 6 x 4 x 2 = 48

Cube 3: A = 4 x 3 x 3 = 36

Cube 4: A = 8 x 2 x 2 = 32

Cube 5: A = 4 x 2 x 4 = 32

Cube 6: A = 6 x 2 x 3 = 36

So, Cube 1 and Cube 2 are the same with 48.

Cube 3 and Cube 6 are the same with 36.

Cube 4 and Cube 5 are the same with 32.

:)

Answer: 1 and 2, 4 and 5, and 3 and 6.

Step-by-step explanation: To find the volume of a rectangular prism, you multiply the length, width, and height to get the volume.  The volumes for each cube is in the order of top left and continue until the bottom right.

From there, you can match them, and then your answer is complete.

Let me know if this is right! :)

Answer:

Transitive property

Step-by-step explanation:

I'm so sorry if it's wrong I took geo last year online and I still hated proofs. Transitive property is basically when x=y, y=z so x=z. since <4 and <5 are congruent and <1 and <4 are congruent, that would make <1 and <5 congruent because of the transitive property. Good luck with proofs!

[tex]3x-17+x+40+2x-5=180\\3x+x+2x-17+40-5=180\\6x+18=180\\6x=180-18\\6x=162\\x=27[/tex]Answer:

Step-by-step explanation:

Since the sum of all interior angles of a triangle sums up to 180.

Answer:

40" by 50"

Step-by-step explanation:

From inspection of the diagram,

height of 2 squares of the quilt ≈ height of doll plus a little bit

⇒ height of 2 squares of the quilt ≈ 18 + 2 = 20 in

⇒ height of 1 square of the quilt ≈ 20 ÷ 2 = 10 in

As the height of a square = width of a square

⇒ width of 1 square of the quilt ≈ 10 in

Dimensions of the quilt

width = 4 squares = 4 × 10 = 40 in

height = 5 squares = 5 × 10 = 50 in

Ratios

We can also work out the width and height by using ratios.

The ratio of width to height of the quilt = 4 squares : 5 squares

If we multiply by 10, the ratio becomes 40 : 50

Final Solution

40" by 50"

Answer:

29.7 inches

Step-by-step explanation:

if it's a square box we can assume that all sides are equal. so the width is also equal to 21 inches.

to find the diagonal we use the pythagorean theorem which states that a^2 +b^2 =c^2 where c is the diagonal and (a) and (b) are 21

so diagonal is the root of

21^2 + 21^2

answer is 29.7

Answer:

At 9:39 they both will Flick

Step-by-step explanation:

so when the first light flicks it resets and starts counting to anthor 8 mins while the other takes 4 mins extra just keep adding till they both have same time

Answer:

Step-by-step explanation:

The amount of the annual withdrawals will be $16,574.24.The amount is the sum of the principal and the simple interest gain.

The complete repayment of money at the end of the time period for which it was borrowed is referred to as the amount.

The given data in the problem is;

P ia the annual payment

PV is the present value = $150,261

r is the rate of intreast = 9.1% = 0.091

n is the time period= 20

The formula for the annual payment is found as;

[tex]\rm P= \frac{r \times PV}{1-(1+r)^{-n}} \\\\ \rm P= \frac{0.091 \times 150261}{1-(1+0.091)^{-20}} \\\\ \rm P=16,754.2437[/tex]

Hence the amount of the annual withdrawals will be $16,574.24.

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Answer:

c/6 ≥ -20

Step-by-step explanation:

The quotient of c and 6 basically means c divided by 6 (minor note: we also go by the order it's written in). We place in '≥' in this inequality because, greater than means '>' and the line underneath it signifies an equal to sign, and as a result of this, we get -20.

Answer:

$4.25

Step-by-step explanation:

Simple, 12.50 divided by four is 4.25. Meaning the answer is $4.25.

Answer:

3x+4<13

Q: Where do you put a smart hot dog? A: On the honor roll.

The solution is, the final answer is 78.

Addition is a way of combining things and counting them together as one large group. ... Addition in math is a process of combining two or more numbers.

here, we have,

The parts of the final expression are ...

 6 walker = 150

 walker = 150/6 = 25

 yoda^4 = 81

 yoda = 81^(1/4) = 3

2 Rtwo +100 = 120

Rtwo = (120 -100)/2 = 10

 luke + yoda × Rtwo + walker × Rtwo = 285

 luke + 3×10 + 25×10 = 285

 luke = 285 -280 = 5

And the grand finale:

 luke ^ yoda - Rtwo(walker / luke) + yoda

= 5^3 -10(25/5) +3 = 125 -50 +3

= 78

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Complete question:

May the fourth be with you math riddle.

picture is attached.