A rectangular prism has length of 5 feet and a width of 9 feet. If the surface area of the prism is 174 square feet,
what is its height?
5ft
4ft
6 ft
3 ft

Step-by-step explanation:

I assume that "ground" is at 0 ft height. which is in an actual scenario not airways the case.

y = -16x² + 64x + 89

shows us that the tower is 89 ft tall (the result for x = 0, at the start).

anyway, if the original assumption is correct, then we need to solve

0 = -16x² + 64x + 89

the general solution for such a quadratic equation is

x = (-b ± sqrt(b² - 4ac))/)2a)

in our case

a = -16

b = 64

c = 89

x = (-64 ± sqrt(64² - 4×-16×89))/(2×-16) =

= (-64 ± sqrt(4096 + 5696))/-32 =

= (-64 ± sqrt(9792))/-32

x1 = (-64 + 98.95453501...)/-32 = -1.092329219... s

x2 = (-64 - 98.95453501...)/-32 = 5.092329219... s

the negative solution for time is but useful here (it would be the time calculated back to ground at the start).

so, x2 is our solution.

the rocket hits the ground after about 5.09 seconds.

Answer:

[tex]format \: examples \: )[/tex]

(30-30) = 40 RIGHT THE SIMILAR FROM 60 -40 AND CALCULATE ALL OF IT +4

ANSWER: 405

The measure of BE is 100

Sure hope this helps you

Answer:

56

Step-by-step explanation:

The simple interest Trey earns if he makes no additional deposit or withdrawal for a period of 6 years is 600

= 2/100

= 0.02

Simple interest = principal × rate × time

= 5000 × 0.02 × 6

= 600

Therefore, the simple interest Trey earns if he makes no additional deposit or withdrawal for a period of 6 years is 600

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Answer:

All equations have like terms

Answer:

B

Step-by-step explanation:

if it is warm the Megan is swimming

Answer:

1.9 m

Step-by-step explanation:

1 ft = 30 cm (approximately)

12 in. = 1 ft

100 cm = 1 m

Find the height in ft:

4 in. / 12 in/ft = 1/3 ft

6 ft 4 in. = 6 ft + 1/3 ft = 6 1/3 ft

Convert ft to cm:

6 1/3 ft × 30 cm/ft = 190 cm

Convert cm to m:

190 cm × 1 m / 100 cm = 1.9 m

Answer:

$960.24

Step-by-step explanation:

Hello!

Let the regular price be x.

38% of x = 0.38x

0.38x = 364.89

The price of the table yesterday was around $960.24.

Step-by-step explanation:

7

4

1

----

12

reality

6.833

3.594

1.369

----------

11.796

Answer:

its 500$ to buy 1000 mac and cheese at 50 cent a piece so im asuming the answer is A

Step-by-step explanation:

The value of the expression 5x – 2y + (7x – y)  when x = 7 and y = -2 is 90

The expression is given as:

5x – 2y + (7x – y)

Substitute x = 7 and y = –2 in the above expression

5 * 7 - 2 * -2 + (7 * 7 + 2)

Evaluate the expression

90

Hence, the value of the expression 5x – 2y + (7x – y)  when x = 7 and y = -2 is 90

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Answer:

1. 0.75

2. 0.15

3. 1

Step-by-step explanation:

1. P(student is female) = 1 - 0.25 = 0.75

2. P(student is male and does not walk to school) = 0.25 × 0.6 = 0.15

3. P(student walks to school or does not walk to school) = 0.4 + 0.6 = 1

Answer:

The sum of the probabilities of all possible outcomes is 1.

Given:

Therefore:

Part (a)

[tex]\begin{aligned}\sf P(\textsf{female}) & = 1 - 0.25\\ & = 0.75\\ & = 75\%\end{aligned}[/tex]

Part (b)

[tex]\begin{aligned}\sf P(\textsf{does not walk to school}) & = 1 - 0.4\\ & = 0.6\\ & = 60\%\end{aligned}[/tex]

[tex]\begin{aligned}\implies\sf P(\textsf{student is male and does not walk to school}) & = 0.25 \times 0.6\\ & = 0.15\\ & = 15\%\end{aligned}[/tex]

Part (c)

[tex]\begin{aligned}\implies\sf P(\textsf{student walks to school or does not walk to school}) & = 0.4+0.6\\ & = 1\\ & = 100\%\end{aligned}[/tex]

Answer:

x>-7

Step-by-step explanation:

Answer:

x>-7

It wont always be easy, but always try to do what ' s right!

   In a world of worriers, be the warrior!

        When nothing goes right, go left.

Answer:

A) x=3

Step-by-step explanation:

I guess it's : [tex]x^{3} =27[/tex]
[tex]x^{3} =27[/tex]
[tex]x=\sqrt[3]{27}[/tex]
[tex]x = 3[/tex]

Answer:

$160850

Step-by-step explanation:

The volume of the fourth doll based on the information given will be 549cm³.

The formula to use will be:

= πr²h

where,

Volume = 8cm³

Diameter = 2.1

Radius = 2.1/2 = 1.05cm

Therefore, 8 = (3.14 × 1.05² × h)

h = 8/(3.14 × 1.05²)

h = 2.31 cm.

The scale factor used is:

= 3.36/2.1

= 1.6

Therefore, the diameter of the fourth doll will be:

= 2.1 × 1.6³

= 8.6

Radius will be:

= 8.6/2 = 4.3.

The height of the fourth doll will be:

= 2.31 × 1.6³

= 9.46

The volume of the fourth doll will be:

= 3.14 × 4.3² × 9.46

= 549cm³

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Answer:

59 cm

Step-by-step explanation:

First, we can do 46x2=92 to find one part of the perimeter. 210-92=118. 118/2=59. So the length is 59.

The y-intercept of the graph of the equation y = 6 (x - 0.5) (x + 3) will be negative 9.

A statement, principle, or policy that creates the link between two variables is known as a function. Functions are found all across mathematics and are required for the creation of complex relationships.

The parabolic equation of the function is given below.

y = 6 (x - 0.5) (x + 3)

Then the y-intercept of the graph of the equation y = 6 (x - 0.5) (x + 3) will be

We know that for the y-intercept, the value of x is zero. Then we have

y = 6 (x - 0.5) (x + 3)

y = 6 (0 - 0.5)(0 + 3)

y = 6 (-0.5)(3)

y = -9

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Nadia cannot have 18 dimes and 5 quarters.

The equations that represent the question are:

D + Q = 23 equation 1

0.1d + 0.25q = 3.65  equation 2

The number of dimes is 14 and the number of quarters is 9.

The equation that represents the total amount of money she has is: 0.1d + 0.25q = 3.65

0.1(18) + 0.25(5) = 3.05

$3.05 is less than 3.65

D + Q = 23 equation 1

0.1d + 0.25q = 3.65  equation 2

Given the above equations, multiply equation 1 by 0.1

0.1d + 0.1q = 2.3 equation 3

Subtract equation 3 from 2

0.15q = 1.35

Divide both sides by 0.15

q = 1.35 / 0.15

q = 9

To determine the value of d, subtract 9 from 23 : 23 - 9 = 14

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Answer:

y = 9

Step-by-step explanation:

given that y varies inversely as x then the equation relating them is

y = [tex]\frac{k}{x}[/tex] ← k is the constant of variation

to find k use the condition y = 12 when x = 6

12 = [tex]\frac{k}{6}[/tex] ← multiply both sides by 6 to clear the fraction

72 = k

y = [tex]\frac{72}{x}[/tex] ← equation of variation

when x = 8 , then

y = [tex]\frac{72}{8}[/tex] = 9

Answer:

111 (base 8) = 64 +8+1 =73(base10)

111 (base 2) = 4+2+1 =7(base 10)

Sum =73+7=80 (base 10)

8| 80|

8 | 10 | 0

8 | 1 | 2

8| 0 | 1

= 120 (base8)

80 (base10) = 120 (base 8)

Step-by-step explanation:

mark as brilliant

The next whole number after 111 in the base-two system is 1000.

In the base-two system (binary), the numbers are represented using only 0 and 1. After 111 in the base-two system, the next whole number is 1000.

To convert 1000 from base-two to base-ten (decimal), we can calculate as follows:

1 * 2^3 + 0 * 2^2 + 0 * 2^1 + 0 * 2^0 = 8 + 0 + 0 + 0 = 8

So, the next whole number after 111 in the base-two system is 1000.

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The population after 198 years from now will be 2,270,200.

Let a be the initial value and x be the power of the exponent function. Then the exponent is given as,

[tex]\rm y = 283,900\times (2)^{x/198}[/tex]

The population after 198 years from now will be calculated as,

[tex]\rm y = 283,900 \times (2)^{198/66}[/tex]

Simplify the equation, then we have

y = 283,900 x 8

y = 2,270,200

The population after 198 years will be 2,270,200.

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Answer:

Step-by-step explanation:

(F-G)(X)=x^4-x^3+2x-6

Answer:

See below

Step-by-step explanation:

y = - 16x^2 + 110x + 15    is a dome shaped parabola

  max will occur at x = -b/2a = -  110/(2*-16) = 3 7/16   seconds

     using this value in the equation results in y = 204  units  (feet?)

Height = 0 = -16x^2 +110x + 15     use quadratic formula

                                  with  a = -16    b = 110    c = 15    to find  7 seconds

Confirmed as of 12.14.22

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__________

1. $11.50

2. Distributive Property

3. x ->-4 and x -< 3

4. x = 0 or x = -3/2

5. D = all real numbers

  R = {y | y -> 0}

6. y = 12/13x - 10/13

  slope: 12/13; y-intercept: -10/13

7. y - 3 = 4/9 (x - 9)

8. (1/4, -7); x = 1/4; translated to the right 1/4 unit and down 7 units.

9. Graph C (representing the inequality y -< x/2 - 3)

10. Graph C (representing the system {x -> 0, y -< -1/8x + 5, y -> 5/8x - 1)

11. [ -12  -13  13  |  -15]

    [ 7     -10   -3  |   11]

    [ 7      14    5  |    -5]

12. Graph C (representing y = 3(x - 3)^2 + 3)

13. The pumpkin's maximum height is 204.06 feet and it hits the ground after 7.01 seconds.

14. 4x^2 + 3x - 6

15. 7/2 -+ sqrt17/2

16. -15

17. (0,3), (3,0)

18. -3. -2. 2

19. Graph C (Goes vertically down, up, then down again.)

20. -6, -2

21. 2, -2, 4i, -4i

22. s^4 + 15s^4 v + 90s^3 v^2 + 270s^2 b^3 + 405sv^4 + 243v^5

23. y = x - 2

24.  f(x) = 295(1.07)^x; 338

25. y = 497(1/2)^38x; 462.029 kg

26. 4

27. 1.03

28. 4.55

29. r = Q/8s^2

30. x = 2

31. Constant of variation: -1/3

    x = -63

32. (-1, 7, 5)

33. (x + 4)(6x + 7

______________________________________________

Answer:

40 tables

Step-by-step explanation:

I think lol I'm just guessing. Hope you get it right. If I'm right just remember me as legend or the chosen one.

Answer:

if I remember I did this two days ago its was c

sin²x sec²x +1 = tan²x cosec²x is an Identity and therefore Option C is an Identity.

Trigonometric Identities are based on Trigonometric ratios , these are useful in conversion of the ratios into each other and to solve the problems of Trigonometry.

There are four Identities Given

Among them Option C is an Identity because on solving it

sin²x sec²x +1 = tan²x cosec²x

(sin²x/cos²x) +1 = sin²x / (sin²x cos²x)

sin²x +cos²x = 1

Which is an Identity and

therefore Option C is an Identity.

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