if the simple interest on $1,000 for 4 years is $320, then what is the interest rate?

Answer: Let the one leg be=base=16cm

area=1/2×b×h

184=1/2×16×h

8h=184

h=184/8

h=23

so the height (perpendicular)=23cm

(hypotenuse)2=p2+b2

=square root (23×23+16×16)

=square root (785)

=28.01cm

therefore, H=28.01cm

P=23cm

Answer:

-6y^4 - 7y^2

Explanation:

Distribute y2 with -4y2 and 7

-4y4 - 7y2 - 2y4

Combine the like terms, -4y4 and 2y4

-6y4 - 7y2

Answer:

Below in bold.

Step-by-step explanation:

f(x)=2x^3-3x^2

Finding the derivative and equating to zero:

f'(x) = 6x^2 - 6x = 0

6x(x - 1) = 0

So there are turning point at x = 0 and 2 = 1.

Finding the relative maximum:

Second derivative is negative when we have a maximum value:

f"(x) = 12x - 5

- which is negative when  x = 0.

So the relative maximum is at x = 0 where f(x) = 2(0)^3 - 3(0)^2 = 0.

At x = 1, second derivative  = 12(1) - 5 = +7 so this is a relative  minimum.

The function is increasing  in interval -∝ < x < 0

decreasing in interval 0 < x < 1

then increasing in interval   1 < x < ∝

you bounce your check which whoever written it to won't receive the money

Answer:

37.5%

Step-by-step explanation:

Let's consider the percentage as 'x'

[tex]72 * \frac{x}{100} = 27\\\\x = \frac{27 * 100}{72} \\x = 37.5%[/tex]

Answer:

a) Jill ended her scooter ride at her house.

Step-by-step explanation:

Step-by-step explanation:

the volume of any pyramid is

base area × height / 3

so, since we know the base area (a square with 23 mm side length), the only trick we need to do is to get the inner height (straight up in the middle from the base area to the top of the pyramid).

because this is a regular pyramid (the top of the pyramid is right above the middle of the base area), we can use Pythagoras for right-angled triangles

c² = a² + b²

with c being the Hypotenuse (the baseline of the triangle opposite of the 90° angle) and in our case the outer height along a side area triangle (24 mm).

the legs of that right-angled triangle are half of a base area side length (remember, the top of the pyramid is right over the middle of the base area square) and the inner height to the top.

so, we have

24² = 12.5² + height²

height² = 24² - 12.5² = 576 - 156.25 = 419.75

height = 20.48780125... mm

so, the volume of the pyramid is then

23² × 20.48780125... / 3 = 3,612.682287... mm³ ≈

≈ 3,612.7 mm³

Answer:

12 feet

Step-by-step explanation:

4 times 3 is 12 and that is how u find area I think

Answer:

1,2 and 4 are the factors of 32 in numbers between 1 to 6

so probability of rolling a factor of 32 is = 3/6 = 1/2

now, the probability of not rolling the factor of 32 = 1 - 1/2 = 1/2

therefore, The probability is same for both cases.

Your answer is Equally likely as not

By : Modern Einstein

Answer:

[tex]30x^{2} -105x-60[/tex]

Step-by-step explanation:

Foiling.

Answer:

For the first question

[tex]x = 2 \: cm[/tex]

For the second question

[tex]x = 6 \: cm[/tex]

Step-by-step explanation:

To find the value if x in both equation we have to use the Pythagorean Theorem which states that:

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

a being the hypothenus*

Therefore for the first question we know that

[tex]a = x \: \: \: b = 1.6 \: \: \: \: c = 1.2 \\ so ... \: \: {x}^{2} = {1.6}^{2} + {1.2}^{2} \\ {x}^{2} = 2.56 + 1.44 \\ {x}^{2} = 4 \\ \sqrt{ {x}^{2} } = \sqrt{4} \\ x = 2 [/tex]

For the second question we know that

[tex]a = 6.5 \: \: \: b = 2.5 \: \: \: c = x \\ {6.5}^{2} = {2.5}^{2} + {x}^{2} \\ 42.25 = 6.25 + {x}^{2} \\ 42.25 - 6.25 = {x}^{2} \\ 36 = {x}^{2} \\ \sqrt{36} = \sqrt{ {x}^{2} } \\ 6 = x[/tex]

The shaded region that is above or below the boundary line of the inequality graph is called a: half-plane.

An half-plane is a graph of a linear inequality which contains the set of possible values of that makes the inequality true.

Thus, the half-plane is the shaded part of the graph of an inequality, which can either be above or below the boundary line.

The shaded region is called the: half-plane.

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[tex]\boxed{\sf B.~-i}\boxed[/tex]

Answer:

A = 18

Step-by-step explanation:

A = b*h/2

A = 9*4 /2

A = 36/2

A = 18

Answer:

answer = 90

Step-by-step explanation:

General equation:  a = k*b^2

Specifically:          10 = k*(3)^2 = 9 k

Solving for k:  k = 10/9

Then a = (10/9)b^2.    If b = 9, then a = (10/9)(9)^2 = 90 (answer)

If a manager at a large company wants to understand whether the employees are feeling. The best way to collect data is: B. survey.

Survey can be defined as the data or information collected from group of people so as to draw or reach a conclusion.

Based on the information Survey would be the best method that would be  suited to understand whether the employees are feeing overworked or not.

The manager can send an online survey to the employee so as to collect that data that will enables the manager to reach a conclusion.

Therefore the correct option is B.

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Answer:

g(x) = -8x + 48

Answer:

  1 7/8 quarts

Step-by-step explanation:

The amount Yuan has left can be found by multiplying the original amount by the fraction he has left.

__

After using 1/2 of the broth for soup, the fraction remaining is ...

  1 -1/2 = 1/2

The amount Yuan used for gravy is 1/4 of this, or ...

  (1/4)(1/2) = 1/8 . . . of the original amount of broth

The total fraction Yuan used was ...

  fraction used = fraction for soup + fraction for broth = 1/2 +1/8 = 5/8

Then the fraction remaining is ...

  fraction remaining = 1 - fraction used = 1 - 5/8 = 3/8.

The amount remaining is this fraction of the original amount:

  (3/8)(5 quarts) = 15/8 quarts = 1 7/8 quarts . . . . remaining

Answer:

The percentage change in volume between cylinder A and cylinder B is 50% Step-by-step explanation:

Step-by-step explanation:

The volume of a cylinder is given by the formula

V= πr^2h

For cylinder A, where r = 7 and h = 5 , pi = 22/7

V= π *7^2 * 5

V= π * 49 * 5

V = 769.69 cubic inch

For cylinder B

V = 490Pi

V = 153 cubic inch

The percentage change in volume between cylinder A and cylinder B

=[ (VA-VB)/VB] *100

=(1539.3804-769.69)/1539.3804

= 0.5000 100

= 50%

Answer:

-6n + 25

Step-by-step explanation:

First find the step: 6

This is because the sequence decreases by 6 each time.

Find the 'zero'th' term: 25

The term before the first term is 25, as you add 6.

- Educator

The increase in the percentage that they experience over these first two years will be 12.5%. Then the correct option is D.

The quantity of anything is stated as though it were a fraction of a hundred. A quarter of 100 can be used to express the ratio. Per 100 is what the term percent signifies. The symbol 'percent' is used to symbolize it.

A swim team has 80 swimmers in the first year and 90 swimmers in the second year.

Then the increase in the percentage that they experience over these first two years will be

P = (90 - 80)/80 x 100

P = 10/80 x 100

P = 0.125 x 100

P = 12.5%

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Answer: 90 degrees acute

Step-by-step explanation: math

Answer:

the answer is

45.84

Step-by-step explanation:

a=pi*r^2

Answer: to calculate the area you multiply L x W x H

Step-by-step explanation:

Final Answer:

-x^2y • (x^4y^9 - 10)

—————————

2

1

:

1

Simplify —

2

Equation at the end of step

1

:

1

((5•(x2))•y)-((—•x6)•y10)

2

STEP

2

:

Equation at the end of step 2

x6

((5 • (x2)) • y) - (—— • y10)

2

STEP

3

:

Equation at the end of step 3

x6y10

((5 • (x2)) • y) - —————

2

STEP

4

:

Equation at the end of step

4

:

x6y10

(5x2 • y) - —————

2

Answer:

What are the options? We need to see the options to be able to answer the question :)

Step-by-step explanation:

I'll edit this once you add the scenarios

Answer:

y alpha 1 /x

y = k / x

( y = ? , x = 2, k = 5 )

y = 5 /2

y = 2.5

A common discrete distribution is used in statistics, as opposed to a continuous distribution is called a Binomial distribution. The probability that exactly 8 tails occur is 0.1963.

A common discrete distribution is used in statistics, as opposed to a continuous distribution is called a Binomial distribution. It is given by the formula,

P(x) = ⁿCₓ (pˣ) (q⁽ⁿ⁻ˣ⁾)

Where,

x is the number of successes needed,

n is the number of trials or sample size,

p is the probability of a single success, and

q is the probability of a single failure.

The probability of a tail occurring is 0.5, while the probability of a tail, not coming is 0.5, therefore, we can write p=0.5 and q=0.5.

Now, the probability of exactly 8 tails occurring can be written as,

P(X=8) = ¹⁶C₈ (0.5)⁽⁸⁾ (0.5)⁽¹⁶⁻⁸⁾

P(X=8) = 12,870 (0.5)¹⁶

P(X=8) = 0.1963

Hence, the probability that exactly 8 tails occur is 0.1963.

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The mean, median, and mode of a completely normal distribution will all have the same value, represented graphically by the top of the curve. The correct option is C.

The mean, median, and mode of a completely normal distribution will all have the same value, represented graphically by the top of the curve. The normal distribution is often known as the bell curve because the probability density graph resembles a bell.

The option that is not true for the normal distribution is the value of the mean and the height of the density curve at its lowest are not equal.

Hence, the correct option is C.

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