10 cm
15 cm
17 cm
5 cm
What is the volume of this figure?
6 cm
10 cm

Answer:

142.5 gallons

Step-by-step explanation:

Divide 570 by 4 and then use that for one side

a) The quantity of red and blue paint are respectively; 1 gallon of red paint and 5/8 gallons of blue paint

b) The quantity of white, red and blue paints are;

Quantity of white paint = 1/20 gallon of white

Quantity of red paint = 1/5 gallon of red

Quantity of blue paint = 1/8 gallon of blue

We are told that you mix 2/5 cups of red paint for every 1/4 cup of blue paint to make 1 5/8 gallons of purple paint. Thus;

a) (2/5)gallon + (1/4)gallon = 13/20 gallon

The number of 13/20 gallons in 1 ⁵/₈ gallons of purple paint is;

(1⁵/₈)/(13/20) = (13/8)/(13/20) = 20/8 = 2.5 (13/20) gallons

Quantity of red paint = 2.5 * (2/5) = 2.5 * 0.4 red = 1 gallon of red paint

Quantity of blue paint = 2.5 * (1/4) = 5/8 gallons of blue

b) From what you decide to do in terms of the fractions, of the paint, we can say that;

(1/10)gallon + (2/5)gallon + (1/4)gallon = 15/20 gallons

Thus, number of 15/20 gallons in (3/8) gallon is;

(3/8)/(15/20) = (3/8)(20/15) = (1/2)(5/5) = 1/2 gallons

Quantity of white paint = (1/2) * (1/10) = 1/20 gallon of white

Quantity of red paint = (1/2) * (2/5) = 1/5 gallon of red

Quantity of blue paint = (1/2) * (1/4) = 1/8 gallon of blue

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Answer:

E

F

D

Step-by-step explanation:

That's what I am sorry if its wrong

Answer:

C, E and F

Step-by-step explanation:

Height of the building is 117m.

Given:

Height of a pole is, h = 3.4m.

Length of the shadow of pole is, l = 1.04m.

Length of the shadow ofbuilding is, L = 35.75m.

The objective is to find the height of the building (H).

The given situation can be represented as,

Here, OA represents the height of the pole and OB represents the shadow of the pole.

Similarly, OC represents the height of the builiding and OD represents the shadow of the building.

Since, both shadow occurs at the same time, the angle of depressions angle A and angle C will be equal for both pole and the building.

It is known that is two of an angles of a triangles are equal, then the third side will also be equal.

By AAA criteria, both are similar triangles.

Then, the height of the building (x) can be calculated by Basic Proportionality theorem of similar triangles.

Now, substitute the given values in the above ratio.

Hence, height of the building is 117m.

Answer:

H0:p=0.5

H1:p>0.5

Sample proportion=492/792=0.6276

Test statistic:

z=(0.6276-0.5)/sqrt(0.5*(1-0.5)/784)

z=7.14

p-value=P(z>7.14)=0

Step-by-step explanation:

Answer:

8/3

Step-by-step explanation:

Slope of line =

\( \frac{y2 - y1}{x2 - x1} = \frac{4 - - 4}{0 - - 3} = \frac{4 + 4}{0 + 3} = \frac{8}{3} \)

OR

Slope of line = vertical distance ÷ horizontal distance (vd/hd) = 8 ÷ 3 = 8/3

8/3 is an improper fraction so if you need it as a mixed number, it becomes 2⅔

Answer:

20.243. (Rounded to the nearest hundredths)

Step-by-step explanation:

75 ÷ 3.705 = 20.24291498

The Distance the handler will move from the starting point to the return point will be approximately 439.8204 feet.

The distance the handler will move from the starting point to the return point when creating an arc of a circle with a radius of 70 feet, we need to find the length of the arc.

The formula to calculate the length of an arc is given by:

Length of arc = (θ/360) * 2πr

Where:

θ is the central angle of the arc (in degrees)

r is the radius of the circle

In this case, since the handler is creating a full circle, the central angle is 360 degrees.

Length of arc = (360/360) * 2π * 70

Length of arc = (1) * 2π * 70

Length of arc = 2π * 70

Length of arc = 140π

To find the approximate value in feet, we can use the approximation π ≈ 3.14159.

Length of arc ≈ 140 * 3.14159

Length of arc ≈ 439.8204 feet

Therefore, based on the given theory and using a circle with a radius of 70 feet, the distance the handler will move from the starting point to the return point will be approximately 439.8204 feet.

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Answer:

1404

Step-by-step explanation:

Answer:

Median=

77.6

by-step explanation:

- Elaina <3

hope this help ;)

Option D is the correct answer, Universal Instantiation is The implicational rule of inference that permits us to derive a specific instance from a universal statement.

It is the process of deriving an individual statement from a general one by replacing the variable with a name or another referring expression called Instantiation.

Universal Instantiation is also called universal specification or universal elimination, it is a valid rule of inference from the truth about each member of a class of individuals to the truth about a particular individual of that class.

Example: "No humans can fly. John Doe is human. Therefore John Doe can not fly."

∀xA⇒A(x↔a}

for every formula A and every term a, where A(x↔a}  is the result of substituting a for each free occurrence of x in A. A(x↔a} is an instance of

∀xA.

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Each decision variable must be non-negative in the optimal solution.

According to this restriction or constraint, x11, x12, x21, and x22 must all be bigger than zero. They cannot, therefore, be negative numbers. All the variables would have to be positive values if the limitation had been > (greater than). However, since it is (more than or equal to), the choice of 0 is acceptable.

The function \(f(x_{1} ,x_{2} ,....)=x_{1} ^{2},x_{2} ^{2} ......\) is always positive except at the origin where it is equal to zero. This means that the absolute minimum of this function must be a = 0 . Absolute maximum is when all of the variables are equal to zero except \(x_{1}\) which is equal to 1 (f evaluated at this point is equal to 1 do b=1). The function itself is then equal to 1. This is because when \(f(.....) = x_{1} ^{2} +x_{2} ^{2} .....\leq x_{1} ^{2} +2x_{2} ^{2}+3x_{3} ^{2} ....\leq 1\)

so it is at most equal to 1 and this happens exactly at the point

\((x_{1} ,x_{2} ,x_{3} .....) = (1,0,0...)\)

Therefore,

Each decision variable must be non-negative in the optimal solution.

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Answer:

19.3

Step-by-step explanation:

Since the sum of all angles inside of a triangle add up to 180, all three angles add up to 180.

x + 5x + 4x - 13 = 180

Now, we work backwards to figure out what x is.

10x - 13 = 180

Add 13 on both sides

10x = 193

Divide by ten to isolate x

x = 19.3

Since angle A is x, then it is 19.3

The additional information would allow you to prove the quadrilateral is a parallelogram according to the minimum criteria is

EJ ≅ GJ. Option A

We need to know the properties of a parallelogram, we have;

We know that FJ  ≅ JH, it's given by the marks, now if it were to happen that EJ ≅ GJ, that would mean that the diagonals on that quadrilateral are bisecting each other, and if that's so, then the quadrilateral it's indeed a parallelogram.

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The complete question:

What additional information would allow you to prove the quadrilateral is a parallelogram according to the minimum criteria?

A)

ej ≅ gj

B)

ej || gj

C)

fg || eh

D)

ef ≅ hg

The equation that represents a line that passes through points (−3, 2) and (2, 1) is x + 5y = 7.

The equation of the line passes through the points  (−3, 2) and (2, 1).  The equation of the line can be represented as follows;

y = mx + b

where

Therefore, let's find the slope using  (−3, 2) and (2, 1)

m = slope =  1 - 2 / 2 + 3

m = - 1 / 5

Therefore,

slope = - 1 / 5

Let's find the y-intercept of the line using (2, 1)

y = - 1 / 5 x + b

1 = - 1 / 5 (2) + b

b = 1 + 2 / 5

b =  5 + 2/ 5

b = 7 / 5

Therefore, the equation of the line can be represented as follows:

y = - 1 / 5 x + 7 / 5

5y = -x + 7

5y + x = 7

x + 5y = 7

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The number that Ajay should multiply the cost of the meal by to find the total plus tip in one step is 1.21

A percentage is a value or ratio that may be stated as a fraction of 100. If we need to calculate a percentage of a number, we should divide it's entirety and then multiply it by 100.

From the information, Ajay was out at a restaurant for dinner when the bill came and wanted to leave a tip of 21%.

The appropriate number will be:

= 1 + (21%)

= 1 + 0.21

= 1.21

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Answer:

it will be C

its 0.7 less than one

Answer:

450

Step-by-step explanation:

The total number of possible working groups of 4 workers selecting from 12 workers is the number of ways of selecting 4 persons from 12 persons

\(=\binom{12}{4}=\frac{12\times 11 \times 10 \times 9}{1\times 2 \times 3\times 4}=495\)

The total number of possible groups of 4 workers in which 2 persons (Hugo and Viviana) always come together

\(= \binom {12-2}{4-2}=\binom {10}{2}=\frac{10\times9}{1\times2}=45\)

So, the total number of possible working groups in which Hugo and Viviana are not working together in any of the groups \(= 495-45=450\).

Answer:

Equation of straight line that passes through (-4, 2) and has slope 9/2 is

\(y-2=\frac{9}{2} (x+4)\)

Step-by-step explanation:

Equation of straight line in point slope form is given as

\(y-y_1=m(x-x_1)\) ---------(2)

Here

\(m = \frac {9}{2}\)   and  \((x_1, y_1) = (-4, 2)\)

Substituting values in equation (1)

\(y-2=\frac{9}{2} (x+4)\)

Answer:

p=5

Step-by-step explanation:

please mark brainliest

The median number of hours slept by boys the previous night is 6.5 hours, while the median number of hours slept by girls the previous night is 7 hours.

The given line plots display the results of a survey of 10 boys and 10 girls regarding the number of hours they slept the previous night. To find the median, follow these steps:Put the observations in ascending order.Divide the data into two equal parts.

To locate the median of the data, find the value that is at the center of the data when ordered.To calculate the medians of the given line plots, we must first arrange the observations in ascending order and divide them into two equal parts.

We have 10 boys and 10 girls in total, so we will have 20 observations for each line plot: Boys’ line plot: 4, 5, 6, 6, 6, 7, 7, 8, 9, 10Girls’ line plot: 5, 5, 6, 7, 7, 7, 7, 8, 8, 10When arranged in ascending order,

the observations are as follows: Boys’ line plot: 4, 5, 6, 6, 6, 7, 7, 8, 9, 10Girls’ line plot: 5, 5, 6, 7, 7, 7, 7, 8, 8, 10 Now,

we must determine the medians for each data set. Since each data set has an even number of observations, the median is the average of the two middle values.

The medians for each data set are as follows: Boys’ line plot: (6 + 7) / 2 = 6.5Girls’ line plot: (7 + 7) / 2 = 7

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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:

b=90

c=30a=60

this kdkddkdkdk

To get the Prime factorization of 3000 we need to multiply by 5.

When the number is factored using prime numbers, or primes, the process is known as prime factorization. The easiest method to determine the prime factors of a given number is to keep dividing the given number by the prime factors until we will get 1.

For example, the Prime factorization of 45 is given below

=> 45/5 = 9, 9/3 = 3,  3/3 = 1

=> 45 = 5 × 3 × 3

Here we have

The prime factorization of 600 is 2 x 2 × 2 × 3 × 5 × 5

Let us assume that on multiplying with p,

we will get the factorization of 3000

=> 2 x 2 × 2 × 3 × 5 × 5 × p = 3000

=> p = \(\frac{3000}{2\times 2 \times 2 \times 3 \times 5 \times 5}\)  

Her 2 x 2 × 2 × 3 × 5 × 5 = 600

=> p = \(\frac{3000}{600}\)

=> p = 5  

Therefore,

To get the Prime factorization of 3000 we need to multiply by 5.

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Answer:

Step-by-step explanation:

A. To find the annual interest rate, compounded continuously, we can use the formula:

A = Pe^(rt)

where A is the final amount, P is the principal amount (initial investment), e is the mathematical constant approximately equal to 2.71828, r is the annual interest rate, and t is the time in years.

We are given that P = $50,000, A = $132,558.36, and t = 15 years. We need to solve for r.

Substituting the given values into the formula, we get:

$132,558.36 = $50,000 e^(15r)

Dividing both sides by $50,000 and taking the natural logarithm of both sides, we get:

ln(2.6511672) = 15r

Solving for r, we get:

r = ln(2.6511672) / 15

r ≈ 0.045 (rounded to three decimal places)

Therefore, the annual interest rate, compounded continuously, that produced this return is approximately 0.045 or 4.5%.

B. To determine the approximate number of years it will take for the account to grow to $300,000, we can again use the formula:

A = Pe^(rt)

where A is the final amount we want to reach, P is the initial investment ($50,000), e is the mathematical constant approximately equal to 2.71828, r is the annual interest rate we just found (0.045), and t is the time in years we want to solve for.

Substituting the given values into the formula, we get:

$300,000 = $50,000 e^(0.045t)

Dividing both sides by $50,000 and taking the natural logarithm of both sides, we get:

ln(6) = 0.045t

Solving for t, we get:

t = ln(6) / 0.045

t ≈ 27.6 years (rounded to the nearest tenth)

Therefore, it will take approximately 27.6 years from the original investment for the account to grow to $300,000.

Answer:

6a^{3}+12ab^{2}-7b^{3}+25ba^{2}

i think thats the answer

Answer:

6 a³ + 25 a ² b + 12 a b ² - 7 b³

Step-by-step explanation:

First, you have to simplify like (a + b) x (3 a - b) x (2 a + 7 b)

Second, you have to collect like terms like (3 a² + 2ab - b²) x (2 a + 7 b)

You have to simplify again after that like (3 a ² + 2 a b - b ²) x (2a + 7b)

Collect like terms again like 6 a ³ + 21 a² b + 4 a ² b + 14 a b ² - 2 a b² - 7 b³

After all that, the solution is 6 a³ + 25 a ² b + 12 a b² - 7 b³

Hope this helps!

Answer:

8

Step-by-step explanation:

2 rows with 4 oranges each -> 2*4 = 8

Answer:

448ft

Step-by-step explanation:

16 x 14 x 2 x 2

  \   /         \   /

  224   x    4

          \    /

          448