I need helpppppppppp

Internal Diameter = 40 m

Height of wall = 14 m

Width of embankment = 20 m

Height

Radius = D/2

Radius = 40/2 = 20 m

Now,

Finding soil taken

Volume of soil taken out =Volume of cylinder

= πr²h

22/7 × 20 × 20 × 14

22 × 400 × 2

44 × 400

17600 m³

Now,

R = 20 + 20 = 40 m

r = 20 m

πR²h - πr²h = 17600

π( R² - r² )h = 17600

22(R² - r²)h = 17600 × 7

(R² - r²)h = 5600

{(40)² - (20)²} = 5600

(1600 - 400)h = 5600

(1200h)= 5600

h = 5600/1200

h = 4.66m

\(\huge{↬{ }}\)Height of embankment is 4.66 m

In an observational study, the statement that a cause and effect can be determined is false.

Observational studies simply establish associations between predictor and outcome variables. Observational studies cannot confirm that an association contemplates cause and effect.

In observational studies, confounding variables may explain an observed relationship between predictor and outcome variables.

In an observational study, a cause and effect cannot be determined. Observational studies are used to gather data about a particular population or phenomenon, but they do not allow for the determination of cause-and-effect relationships.

This is because observational studies do not control the variables that are being studied and, therefore, cannot determine the relationship between two variables.

In order to determine cause and effect, a controlled experiment is needed in which the variables are manipulated, and their effects are observed.

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Answer:

D

Step-by-step explanation:

Using proportions, it is found that the elevator will be safe, as the total weight of 2.2075 tons is less than the maximum load restriction of 2.5 tons.

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

Each lb has 0,0005 tons. Hence the total weight in tons that we want to put in the elevator is:

T = (175 + 240 + 80 x 50) x 0.0005 = 2.2075 tons.

Hence, the elevator will be safe, as the total weight of 2.2075 tons is less than the maximum load restriction of 2.5 tons.

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Answer:

the pic or its 19x

Step-by-step explanation:

can I have brainlist

Answer:

here is answer

Step-by-step explanation:

To find the linear velocity of the ball after contact with the bat, we need to convert the angular velocity to linear velocity.

Given:

Angular displacement (θ) = 261 degrees

Time (t) = 0.75 seconds

Distance from axis of rotation (r) = 57 cm

First, we convert the angular displacement from degrees to radians:

θ (in radians) = (261 degrees) × (π/180)

≈ 4.5539 radians

Next, we calculate the angular velocity (ω):

ω = θ / t

= 4.5539 radians / 0.75 seconds

≈ 6.0719 radians/second

To convert the distance from the axis of rotation to meters:

r (in meters) = 57 cm × (1 meter / 100 centimeters)

= 0.57 meters

Now, we can calculate the linear velocity (v) using the formula:

v = ω × r

v ≈ 6.0719 radians/second × 0.57 meters

v ≈ 3.4649 meters/second

Therefore, the linear velocity of the ball after contact with the bat is approximately 3.4649 meters/second.

The X value corresponding to z = -2.00 is 60. The X value corresponding to z = -2.00 is 60. This means that the observation with a z-score of -2.00 is 60 units below the population mean of 80.

To find the X value corresponding to z = -2.00, we can use the formula:
z = (X - µ) / σ
Substituting the given values, we get:
-2.00 = (X - 80) / 10
Solving for X, we get:
X = (-2.00 x 10) + 80
X = 60

The z-score measures the number of standard deviations an observation is from the mean. In this case, the given z-score of -2.00 indicates that the observation is 2 standard deviations below the mean.
To find the corresponding X value, we use the formula:
z = (X - µ) / σ
Where z is the standard normal distribution value, X is the corresponding raw score, µ is the mean of the population, and σ is the standard deviation of the population.
Substituting the given values, we get:
-2.00 = (X - 80) / 10
Solving for X, we get:
X = (-2.00 x 10) + 80
X = 60

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Sales in dollars made by a sales person are an example of quantitative data.

The correct answer choice is option B.

Quantitative data can be defined as data which measures of values or counts are expressed as numbers such as discreet and continuous data.

They help to measure types and are usually represented by symbol and numbers.

Hence, sales as well as revenue are qualitative data.

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Answer:

Odd

Step-by-step explanation:

Answer:Consecutive odd numbers near 12 are 11 and 13. Therefore, the numbers are 11 and 13. The sum of any two consecutive numbers is always odd. Example, 4 + 5 = 9; –8 + (–7) = –15.

Step-by-step explanation: hope this helps

About 11.90% of students scored 59.99 or lower on the exam and failed the course (since this is a proportion, we can multiply it by 100 to get the percentage).

To determine the percentage of students who failed the course, we need to find the proportion of students who scored 59.99 or lower on the exam, and then convert this proportion to a percentage.
First, we need to standardize the cutoff score of 59.99 using the formula:
z = (x - μ) / σ
where x is the cutoff score, μ is the mean, and σ is the standard deviation.
Plugging in the values given in the question, we get:
z = (59.99 - 73) / 11 = -1.18
Next, we look up the proportion of scores below a z-score of -1.18 in a standard normal distribution table (or use a calculator or software). This proportion is approximately 0.1190.
Therefore, about 11.90% of students scored 59.99 or lower on the exam and failed the course (since this is a proportion, we can multiply it by 100 to get the percentage).
In other words, roughly 12% of the students failed the course based on the given criteria.

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Answer:

5 x 10 = 50

Step-by-step explanation:

For the budget constraint X + Y = 12, there is no optimal bundle that maximizes the utility function U(X, Y).

A) To find the optimal bundle, we need to maximize the utility function U(X, Y) subject to the budget constraint 3X + 5Y = 60.

Let's solve this problem using the Lagrange multiplier method:

1. Set up the Lagrangian function:

L(X, Y, λ) = -(X - 7)^2 - (Y - 7)^2 + λ(3X + 5Y - 60)

2. Find the first-order conditions:

∂L/∂X = -2(X - 7) + 3λ = 0

∂L/∂Y = -2(Y - 7) + 5λ = 0

∂L/∂λ = 3X + 5Y - 60 = 0

3. Solve the system of equations:

-2X + 14 + 3λ = 0    --(1)

-2Y + 14 + 5λ = 0    --(2)

3X + 5Y - 60 = 0     --(3)

From equations (1) and (2), we can solve for X and Y:

X = (14 - 3λ) / 2

Y = (14 - 5λ) / 2

Substituting these expressions into equation (3), we can solve for λ:

3(14 - 3λ) / 2 + 5(14 - 5λ) / 2 - 60 = 0

Simplifying and solving the equation, we find λ = -4.

Substituting λ = -4 back into X and Y expressions:

X = (14 - 3(-4)) / 2 = 13

Y = (14 - 5(-4)) / 2 = 9

Therefore, the optimal bundle is X = 13 and Y = 9.

B) To find the optimal bundle for the budget constraint X + Y = 12, we can rewrite it as Y = 12 - X.

Substituting this into the utility function, we have U(X) = -(X - 7)^2 - (12 - X - 7)^2.

To find the optimal bundle, we need to find the maximum value of U(X) by taking the derivative with respect to X and setting it equal to zero:

dU/dX = -2(X - 7) + 2(12 - X - 7) = 0

Simplifying the equation, we find:

-2X + 14 + 2X - 40 = 0

-26 = 0

Since -26 ≠ 0, there is no value of X that satisfies the first-order condition for optimization.

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Answer:

to find the whole ratio from a part use a reciprocal (i.e for this one 1/4, it's 4)

Then wee multiply it to 2/3

2/3 x 4 = 8/3 = 2.666666666 = 2.67

8/3 or 2.67 is the answer

Step-by-step explanation:

Answer:

The rectangle is 3.5 yd x 4 yd

Step-by-step explanation:

Area = length x width = lw

l = length = 2w - 3

w = width

Area = 14(2w - 3)(w) = 14

2w² - 3w - 14 = 0

Use quadratic equation to find the 2 roots of w:  a = 2, b = -3, c = -14

w = 3.5, -2     disregard the negative root

width = 3.5 yd

length = 2(3.5) - 3 = 4 yd

The dimensions of the rectangle are approximately 2.23 yards by 1.46 yards.

We are assuming the width of rectangle to be "x" yards. Then, the length would be (2x - 3) yards, since it is 3 yards less than double the width. The formula for the area of a rectangle is A = l x w, so we can plug in the values we know:

14 = (2x - 3) x x

Expanding the brackets:

14 = 2x² - 3x

Put this equation=0:

2x² - 3x - 14 = 0

Using the quadratic formula:

x = (3 ± √(3² + 4 x 2 x 14)) / (2 x 2)

x = (3 ± √97) / 4

We can ignore the negative root, since the width cannot be negative. Therefore,

x ≈ 2.23

This is the width of the rectangle. To find the length, we can plug this value back into the expression we derived earlier:

length = 2x - 3

length ≈ 1.46

Therefore, the dimensions of the rectangle are approximately 2.23 yards by 1.46 yards

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Answer:

\(0.926\)

Step-by-step explanation:

\(1-7.4/100\)

\(1-0.074\)

\(=0.926\)

Step-by-step explanation:

if you're asking for distance then,

V = s / t

50 mph = s / 3 hrs

50 mph × 3 hrs = s

150 miles = s

Heidi is able to walk 10/3 miles in 1 hour (60 min).

It is a method for determining the value of a single unit by subtracting the value of multiple units and subtracting the value of multiple units from of the value of a single unit.

Now, for the given question;

It takes Heidi 12 minutes to walk 2/3 miles.

Applying the unitary method.

Then, for in 1 minutes Heidi will walk = 2/(3×12).

For walking in 1 hour or 60 min =  (2×60)/(3×12).

Further simplifying;

In 1 hour = 10/3 miles.

Therefore, Heidi would be be able to walk 10/3 miles in 1 hour.

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Answer:

x = 27

Step-by-step explanation:

(5x - 32) + (3x - 4) = 180

8x - 36 = 180

x = 216

x = 27

m<NQR = 5x - 32 = 5*27 - 32 = 103

m<QRP = 3x - 4 = 3*27 - 4 = 77

Consumer surplus $5 as we solve the Q by given data

Consumer surplus is the difference between the consumer's willingness to pay and the price of the commodity.

Consumer surplus in economics, also called social surplus or consumer surplus, is the difference between the price a consumer pays for a commodity and the price the consumer is willing to pay in exchange for giving it up.

Producer surplus is the difference between the price of a commodity and the lowest price at which a seller is willing to sell it.

Consumer Surplus = Willingness to Pay - Price of the Good.

Item Price = $35 - $10 = $25

$30 - $25 = $5

Producer surplus is the difference between the price of a commodity and the lowest price at which a seller is willing to sell it.

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The equations become:
1. v = u + at
2. y = ut + 0.5at^2
3. v^2 = u^2 + 2ay
4. y = (u + v)t / 2

The four equations used for determining linear motion are known as the kinematic equations. They are:

1. v = u + at
2. s = ut + 0.5at^2
3. v^2 = u^2 + 2as
4. s = (u + v)t / 2

Here, v represents final velocity, u represents initial velocity, a is acceleration, t is time, and s is displacement.

When considering vertical acceleration, the symbol for displacement (s) is often replaced with a vertical position (y) or height (h). So,

As for pg. 23 of PM review, I'm unable to access any external documents, but I hope this answer helps you with your problem!

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Answer:

  C, E

Step-by-step explanation:

You want the equations that represent 2 boys for every 5 girls in a class.

The number of boys is represented by x, and the number of girls is represented by y, so you have ...

  x : y = 2 : 5

As fractions, this is ...

  x/y = 2/5

Multiplying by 5y gives ...

  5x = 2y . . . . . . matches equation C

Dividing by 5, we have ...

  x = 2/5y . . . . . . matches equation E

Given:

The function is

\(f(x)=x^3-3x^2+5x-15\)

To find:

The root of the function from the given possible roots.

Solution:

We have,

\(f(x)=x^3-3x^2+5x-15\)

At x=-3,

\(f(-3)=(-3)^3-3(-3)^2+5(-3)-15\)

\(f(-3)=-27-27-15-15\)

\(f(-3)=-84\neq 0\)

At x=-1,

\(f(-1)=(-1)^3-3(-1)^2+5(-1)-15\)

\(f(-1)=-1-3-5-15\)

\(f(-1)=-24\neq 0\)

At x=1,

\(f(1)=(1)^3-3(1)^2+5(1)-15\)

\(f(1)=1-3+5-15\)

\(f(1)=-12\neq 0\)

At x=3,

\(f(3)=(3)^3-3(3)^2+5(3)-15\)

\(f(3)=27-27+15-15\)

\(f(3)=0\)

Since, the value of given function is 0 at only x=3, therefore 3 is a root of given function.

Hence, the correct option is D.

The length of the shorter diagonal is approximately 7.07 units.

A rhombus is a four-sided polygon in which all sides are equal in length. It is also called a diamond shape because it is often used for diamond-shaped figures. In this case, we are given that the perimeter of the rhombus is 88. Since all sides of the rhombus are equal, we can divide the perimeter by 4 to find the length of one side.

88 ÷ 4 = 22

Therefore, each side of the rhombus measures 22 units.

We are also given that two of the angles in the rhombus are acute angles measuring 40° each. Since all angles in a rhombus are equal, we can find the measure of the other two angles by subtracting the sum of the acute angles from 360.

360 - 2(40) = 280

Each of the other two angles measures 140°.

To find the length of the shorter diagonal, we can use the formula:

Shorter diagonal = (2 × Area) / Length of longer diagonal

The area of a rhombus can be found by multiplying the length of the longer diagonal by the length of the shorter diagonal and then dividing by 2.

Area = (diagonal1 × diagonal2) / 2

We know that the longer diagonal is twice the length of the shorter diagonal.

Longer diagonal = 2 × Shorter diagonal

Substituting these values into the formula, we get:

Shorter diagonal = (2 × (22 × Shorter diagonal × sin 40°)) / (2 × Longer diagonal)

Simplifying, we get:

Shorter diagonal = (22 × Shorter diagonal × sin 40°) / Longer diagonal

Plugging in the values we know, we get:

Shorter diagonal = (22 × Shorter diagonal × sin 40°) / (2 × Shorter diagonal)

Shorter diagonal = 11 × sin 40°

Using a calculator, we can find that:

Shorter diagonal ≈ 7.07

Therefore, the length of the shorter diagonal is approximately 7.07 units.

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Step-by-step explanation:

-4x+1+6-(-9x)

-4x+7-(-9x)

5x+7

Answer:

\(\displaystyle d \approx 15.8768\)

Step-by-step explanation:

We want to find the distance of d or AB.

From the right triangle with a 35° angle, we know that:

\(\displaystyle \tan 35^\circ = \frac{50}{PB}\)

And from the right triangle with a 42° angle, we know that:

\(\displaystyle \tan 42^\circ = \frac{50}{PA}\)

AB is PA subtracted from PB. Thus:

\(\displaystyle d = AB = PB - PA\)

From the first two equations, solve for PB and PA:

\(\displaystyle \frac{1}{\tan 35^\circ } = \frac{PB}{50} \Rightarrow PB = \frac{50}{\tan 35^\circ}\)

And:

\(\displaystyle \frac{1}{\tan 42^\circ } = \frac{PA}{50} \Rightarrow PA = \frac{50}{\tan 42^\circ}\)

Therefore:

\(\displaystyle d = AB = \frac{50}{\tan 35^\circ} - \frac{50}{\tan 42^\circ}\)

Using a calculator:

\(\displaystyle d= AB \approx 15.8768\)

Answer:

The answer is16.25

Step-by-step explanation:

16 + 0.25 = 16.25

Answer:

Answer: -17

Step-by-step explanation:

1 ) x² - y2

2 ) -4² - .5(2)

3 ) -16 - 1

4 ) -17

Answer:

9.

he washes 9 cars on Tuesday.

Step-by-step explanation:

28 * 7 = 196.

448 - 196 = 252

252 / 28 = 9

On solving the linear equation  28x + 196 = 448, we get that Craig washed 9 cars on Tuesday.

Linear equation is an equation containing one unknown variable with power one and constants.

The standard form of an linear equation in one variable x is :

ax + b = 0 , where a, b are constants

x= -b/ a is solution if this equation or we can solve this equation by adding or subtracting , multiplying or dividing same number to both sides.

Given that Craig washes cars and earns $ 28 for each car . He washed 7 cars on Monday.

Let on Tuesday he washed x cars

Total money earned on Tuesday and Monday by Craig = $448

Money earned on Monday = $ 7× 28 = $ 196

Money earned on Tuesday  = $ x×28 = $ 28x

⇒ 28x + 196 = 448

Subtracting 196 from both sides we get

⇒ 28x + 196 -196 = 448 - 196

⇒ 28 x = 252

Dividing both sides by 28

⇒ x = 252/28 = 9

Therefore, Craig washed 9 cars on Tuesday.

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