pls help asap!!!!!!!!!!!

9514 1404 393

Answer:

  a) 96 m²

  b) 26,000 ft²

Step-by-step explanation:

The area of the unshaded region is the difference between the overall area of the rectangle and the area of the shaded region. It can also be found directly using the dimensions of the unshaded region.

a) We have the height of the right triangle, but need to know its base. The Pythagorean theorem can help with that. Let the base of the triangle be represented by x. Then ...

  x² +16² = 20²

  x² = 400 -256 = 144

  x = √144 = 12

The area of the unshaded triangle is given by the formula ...

  A = (1/2)bh

  A = (1/2)(12)(16) = 96 . . . . square meters

__

b) The shaded area at upper left is a square 100 ft on a side. Its area is ...

  A = s² = (100 ft)² = 10,000 ft²

The shaded area at upper right is a triangle with base and height 120 ft and 150 ft. Its area is ...

  A = (1/2)bh = (1/2)(120 ft)(150 ft) = 9,000 ft²

The area of the overall rectangle is ...

  A = LW = (300 ft)(150 ft) = 45,000 ft²

So, the unshaded area is ...

  unshaded area = overall area - left shaded area - right shaded area

  unshaded area = 45,000 ft² -10,000 ft² -9,000 ft² = 26,000 ft²

If the initial velocity is 75 feet per second, it will take approximately 5.125 seconds for the ball to hit the ground.

The given formula h= -16t²+vt+s represents the height (h) of an object thrown vertically in the air at time (t), with initial velocity (v) and initial height (s). In this case, we are given that the initial height of the softball is 4 feet and the initial velocity is 75 feet per second.

We want to find out how long it will take for the ball to hit the ground, which means we want to find the time (t) when the height (h) is 0.

Substituting the given values into the formula, we get:

0 = -16t² + 75t + 4

This is a quadratic equation in standard form, which we can solve using the quadratic formula:

t = (-b ± √(b² - 4ac)) / 2a

Where a=-16, b=75, and c=4. Substituting these values into the formula, we get:

t = (-75 ± √(75² - 4(-16)(4))) / 2(-16)

t = (-75 ± √(5625 + 256)) / (-32)

t = (-75 ± √(5881)) / (-32)

We can simplify the expression under the square root as follows:

√(5881) = √(49121) = 711 = 77

So we have:

t = (-75 ± 77) / (-32)

Simplifying further, we get two possible solutions:

t = 0.5 seconds or t = 5.125 seconds

Since the softball player hits the ball when it is 4 feet above the ground, we can disregard the solution t=0.5 seconds (which corresponds to when the ball is at its maximum height) and conclude that it will take approximately 5.125 seconds for the ball to hit the ground.

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Answer:

hmm are they options.

Step-by-step explanation:

if so I would say c

Answer:

v=pi×r^2×h so the answer is 452.16

Answer:

Heres this!!

Step-by-step explanation:

The formula to find the surface area of a rectangular prism is A = 2wl + 2lh + 2hw, where w is the width, the l is the length, and the h is the height.

The volume of the given rectangular prism.

\(\huge\boxed{Formula: lwh}\)

To find the the volume we'll have to multiply the height, width and length.

\(V=\: 13×7×5 \)

\(\large\boxed{V= \:455\: {cm}^{3}}\)

Therefore, the volume of the given rectangular prism is 455 cubic centimeters.

The average number of hours that adults spend working each day is 8 hours and Ryan is correct because he got the average of 8 right.

We know that,

The sample mean is a statistic that is computed by taking the arithmetic mean of the values of a variable in a sample. If the sample is taken from probability distributions with a shared expected value, the sample mean is an estimator of that value.

The mean is gotten from the formula;

x' = ∑x/n

Number of hours of work per day are; 6, 7, 8, 9 and 10

Thus; sum up all of it

∑x = 6 + 7 + 8 + 9 + 10

∑x = 40

Mean is; x' = 40/5

x' = 8

Since Ryan concluded that the average is 8 hours,

Therefore,

We can say that Ryan is correct.

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Answer:

5: (c)

6: (c)

7: (c)

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

its 5

Answer:

The slope is -5

The y-intercept is (0, 7)

Step-by-step explanation:

Took the test, hope this helps.

The turning points of the function y = x³ - 3x² - 9x + 4 are (3, -23) and (-1, 9).

To determine the turning points of the given function y = x³ - 3x² - 9x + 4, we need to find the critical points where the derivative of the function is equal to zero.

1. Find the derivative of the function:

  y' = 3x² - 6x - 9

2. Set the derivative equal to zero and solve for x:

  3x² - 6x - 9 = 0

3. Factorize the quadratic equation:

  3(x² - 2x - 3) = 0

4. Solve the quadratic equation by factoring or using the quadratic formula:

  (x - 3)(x + 1) = 0

  This gives us two possible values for x: x = 3 and x = -1.

5. Substitute these critical points back into the original function to find the corresponding y-values:

  For x = 3:

  y = (3)³ - 3(3)² - 9(3) + 4

    = 27 - 27 - 27 + 4

    = -23

  For x = -1:

  y = (-1)³ - 3(-1)² - 9(-1) + 4

    = -1 - 3 + 9 + 4

    = 9

6. Therefore, the turning points are (3, -23) and (-1, 9).

Note: It appears that there was a typo in the original equation, where the term "-9x" should have been "-3x²". The above solution assumes the corrected equation.

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Answer:

D, g(x) = 1/4 x^2

Step-by-step explanation:

You can try plugging in the x and y values into each equation. The answer to this would be D, where if you plug in 2 as the x value, you get 1/4 * 4 which equals 1. This also makes sense because 2x would have a narrower curve while 1/2x would have a wider curve.

Answer:13

Step-by-step explanation:(2)²+3(3)=4+9=13

Answer:

2a^n+ 3b

Differentiate w.r.t a

2na^n - 1

= 13

1.It is generally considered best practice for parents to discuss their intentions with their children and heirs to avoid confusion or misunderstandings.

2.As potential heirs, Brennan and Maureen had a responsibility to communicate with their parents about their estate planning and express any concerns or questions they had.

3.I have personally not had experience with a family member's will. However, I believe it is important to approach the topic of writing a will with sensitivity and empathy.

1. While it is understandable that Brennan and Maureen's parents may have wanted to keep their financial affairs private, their lack of communication may have caused confusion and disappointment for their children. Ideally, the parents should have discussed their estate planning with their children and explained the impact of the gifts on their final inheritance.

2. As potential heirs, Brennan and Maureen had a responsibility to communicate with their parents about their estate planning and express any concerns or questions they had. While it can be difficult to broach sensitive topics like death and inheritance, it is important for family members to have open and honest communication to prevent misunderstandings or disputes down the line.

3. It can be a difficult and emotional topic to discuss, but it is important to have open communication to ensure that everyone's wishes are respected and honored. It may be helpful to consult with a lawyer or financial advisor to ensure that the will is properly drafted and that everyone's needs are addressed.

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Answer:

  35 cm

Step-by-step explanation:

The volume of a cylinder is given by ...

  V = πr²h

We want to find h for the given volume and diameter. First, we must convert the given values to compatible units.

  1 L = 1000 cm³, so 99 L = 99,000 cm³

  60 cm diameter = 2 × 30 cm radius

So, we have ...

  99,000 cm³ = π(30 cm)²h

  99,000/(900π) cm = h ≈ 35.01 cm

The oil is 35 cm deep in the drum.

Based on the data, there appears to be an association between the type of automobile and whether it is new or used. hence the correct option is yes.

The science of statistics focuses on creating and researching strategies for gathering, analyzing, interpreting, and presenting empirical data.

The gathering, characterization, analysis, and drawing of inferences from quantitative data are all tasks that fall under the purview of statistics, a subfield of applied mathematics. Probability theory, linear algebra, and differential and integral calculus play major roles in the mathematical theories underlying statistics.

In the given question:-

cars are easy to sell used or new

used trucks are not easy to sell.

Based on the above assumption,

The correct answer is yes

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Answer: A

Step-by-step explanation:

I crossed out the answers as I went and I got the answer A.

Answer:

Hi

please mark brainliest ❣️

Thanks

Step-by-step explanation:

10 + x / 3 = 12

Cross multiply

10 + x = 12× 3

10 + x = 36

Collect like terms

x= 36 - 10

x = 26

Answer:

345 calories

Step-by-step explanation:

The easiest way to do this is to find out how many calories there are for 1 ounce. So 230 divided by 4, equals 57.5. So if 57.5 calories are in one ounce, then you just multiply by 6 to get your answer.

57.5 x 6 = 345 calories

The critical value that corresponds to a confidence level of 99% for a sample size of 14 is approximately 2.617, rounded to three decimal places.

What is Normal distribution ?

In statistics, a normal distribution, also known as a Gaussian distribution or bell-shaped distribution, is a probability distribution that is symmetric and bell-shaped, with the majority of the data concentrated around the mean and progressively less data towards the tails.

Using a Z-table, the critical value for a confidence level of 99% is approximately 2.617.

Alternatively, you can use a Z-score calculator, which is a tool that allows you to directly input the confidence level and sample size to calculate the critical value. For a sample size of 14 and a confidence level of 99%, the critical value is approximately 2.617.

Therefore, the critical value that corresponds to a confidence level of 99% for a sample size of 14 is approximately 2.617, rounded to three decimal places.

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Answer:

The answer is 11,337,408

Step-by-step explanation:

6^2 = 36, 3^2 = 9, 3^3 = 27, and 6^4 = 1296.

when you multiply them all together, you get 11,337,408.

The system of equations is.

\(\begin{cases}\text{x}+\text{y}=60 \\15\text{x}+10\text{y}=800 \end{cases}\)

And the solutions are y = 50 and x = 10.

Let's define the two variables:

With the given information we can write two equations, then the system will be:

\(\begin{cases}\text{x}+\text{y}=60 \\15\text{x}+10\text{y}=800 \end{cases}\)

Now let's solve it.

We can isolate x on the first  to get:

\(\text{x} = 60 - \text{y}\)

Replace that in the other equation to get:

\(15\times(60 - \text{y}) + 10\text{y} = 800\)

\(-2\bold{y} = 900 - 800\)

\(-2\bold{y} = 100\)

\(\text{y} = \dfrac{100}{-2} = \bold{50}\)

Then \(\bold{x=10}\).

Therefore, the solutions are y = 50 and x = 10.

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Answer:

The sun released a strong burst of water vapor. As Earth cooled, water in the atmosphere condensed. Materials collided due to strong gravitational forces. The ozone layer formed to protect against harmful UV ray exposure

Step-by-step explanation:

Answer:

As Earth cooled, water in the atmosphere condensed

Step-by-step explanation:

dues to high temps, water evaporated.

as the earth's surface cooled, water condensed and formed oceans

rocks hardened to form continents

Answer:

To calculate the surface area of the cylinder, we need to find the area of the two circular bases and the lateral surface area.

The formula for the circumference of a circle is:

C = 2πr

where C is the circumference and r is the radius. We can rearrange this formula to solve for the radius:

r = C/2π = 513.88/(2 x 3.14) = 81.91 yards

The formula for the area of a circle is:

A = πr^2

where A is the area and r is the radius. We can use this formula to find the area of one of the circular bases:

B = πr^2 = 3.14 x 81.91^2 = 21,237.93 square yards

The formula for the lateral surface area of a cylinder is:

P x h

where P is the perimeter of the base and h is the height. We can use the formula for the circumference to find the perimeter of the base:

P = C = 513.88 yards

Now we can calculate the lateral surface area:

L = P x h = 513.88 x 11 = 5,652.68 square yards

Finally, we can use the formula for the surface area of a cylinder:

SA = 2B + L = 2(21,237.93) + 5,652.68 = 48,128.54 square yards

Therefore, the surface area of the cylinder is approximately 48,128.54 square yards when rounded to the nearest hundredth.

The value of TU is  4.

Given,

In the question:

TU = 4x

UV = x + 1

TV= 6

To find the value of x .

Now, According to the question:

To see the figure,

We have a Number line

Also have,

The values are :

TU = 4x

UV = x + 1

TV= 6

For finding value of x is:

TU + UV = TV ____(1)

Substitute all the values in above eq.(1)

4x + x + 1 = 6

5x + 1 = 6

5x = 6 - 1

5x = 5

x = 1

Hence, The value of TU is  4.

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The variables in the graph are temperature of the water (y-axis) and heating time (x-axis).

At various points on the graph, the relationship between the two variables can be seen as a linear increase in temperature with a corresponding increase in heating time. That is, as the heating time increases, the temperature of the water also increases.

The graph shows the relationship between two variables, heating time and temperature of heated water. The x-axis, or independent variable, represents the heating time, while the y-axis, or dependent variable, records the temperature of the heated water.

At the start of the graph, the heating time is 0 minutes and the temperature of the heated water is also 0 degrees Celsius. As the heating time increases, the temperature of the heated water gradually increases. At 10 minutes, the temperature of the heated water is approximately 20 degrees Celsius.

At 20 minutes, the temperature of the heated water is approximately 50 degrees Celsius. At 30 minutes, the temperature of the heated water is approximately 80 degrees Celsius. At 40 minutes, the temperature of the heated water is approximately 100 degrees Celsius and at 50 minutes, the temperature of the heated water is approximately 120 degrees Celsius.

The relationship between the two variables is linear; as the heating time increases, the temperature of the heated water also increases. The graph shows that the temperature of the heated water increases by approximately 20 degrees Celsius for every 10 minutes of heating time.

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Answer:

220 adults and 250 children

Step-by-step explanation:

we require to set up 2 equations and solve simultaneously.

let a be the number of adults and c the number of children , then

a + c = 470 → (1) based on number of people

3a + c = 910 → (2) based on ticket sales

subtract (1) from (2) term by term to eliminate c

(3a - a) + (c - c) = 910 - 470

2a + 0 = 440

2a = 440 ( divide both sides by 2 )

a = 220

substitute a = 220 into (1) and solve for c

220 + c = 470 ( subtract 220 from both sides )

c = 250

that is 220 adults and 250 children attended

Answer: y = 3/4x-5

Step-by-step explanation: Go up 3 and to the right 4; and it crosses the y-axis at -5.

The measure of ∠A in the triangle is 70 degrees.

A triangle is a polygon with three sides. The sum of angle in a triangle is 180 degrees.

Therefore, let's find the measure of angle x in the triangle as follows:

Using exterior angle theorem,

The exterior angle theorem states that the measure of an exterior angle is equal to the sum of the measures of the two remote interior angles of the triangle.

Therefore,

8x - 10 + 5x + 3 = 123

13x - 7 = 123

13x = 123 + 7

13x = 130

x = 130 / 13

x = 10

Therefore,

∠A = 8(10) - 10

∠A = 80 - 10

∠A = 70 degrees

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Answer:

-i,2i

Step-by-step explanation:

zeros(2,i,-2i {5th degree}

then the conjugate zeroes are,

I,2i {conjugate zeros}

so the answer is i, 2i

Answer:

5.2 seconds

Step-by-step explanation:

To get one foot, we need to divide by 5.5

Set up a proportion:

\(\frac{5.5}{5.5}=\frac{28.6}{5.5}\)

Solve:

\(1ft.=5.2secs.\)

Answer:

3(4 + x)

3 * 4 + 3 * x, OR 3(4) + 3(x)

12 + 3x

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