.60 is what percent of 180? ​

Answer:

B: 24

(Sorry if this is wrong i tried my best)

The total area of the 4 walls is 80 square meters

From the question, we have the following parameters that can be used in our computation:

Floor area = 16 square meters

Floor shape = square

This means that

Floor side length = √Floor area

Substitute the known values in the above equation, so, we have the following representation

Floor side length = √(16)

So, we have

Floor side length = 4

We have

height = 5 meters

So, the required area is

Area = 4 * height * Floor side length

This gives

Area = 4 * 5 * 4

Evaluate

Area = 80

Hence, the area is 80 square metrs

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We can reject the null hypothesis and conclude that there is evidence to support the alternative hypothesis that the left foot is longer than the right foot.

A statistical test is required to determine whether the length of the left foot is greater than the length of the right foot. The null hypothesis states that there is no difference in average length between the left and right feet. The alternative hypothesis is that the left foot's average length is greater than the right foot's average length.

This hypothesis is one-tailed, as we are only interested in whether the left foot is longer than the right foot. We are not considering the possibility that the right foot could be longer than the left foot.

A t-test can be used to determine whether the difference in average length between the left and right feet is statistically significant. We can reject the null hypothesis and conclude that there is evidence to support the alternative hypothesis that the left foot is longer than the right foot if the p-value of the t-test is less than the chosen significance level (e.g., 0.05).

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\(\red{➤}\:\)\(\sf f(x) = 2x^3-5x^2-3x \)

\(\red{➤}\:\)\(\sf g(x)=x\)

\(\\\)

\(\orange{☛}\:\)\(\sf h(x) \)

\(\\\)

\(\begin{gathered}\\\quad\longrightarrow\quad\sf h(x) =f(x)÷g(x) \\\end{gathered} \)

\(\begin{gathered}\\\quad\longrightarrow\quad\sf \dfrac{f(x)}{g(x)}= \dfrac{2x^3-5x^2-3x}{x} \\\end{gathered} \)

\(\begin{gathered}\\\quad\longrightarrow\quad\sf \dfrac{x(2x^2-5x-3)}{x} \\\end{gathered} \)

\(\begin{gathered}\\\quad\longrightarrow\quad\sf 2x^2-5x-3 \\\end{gathered} \)

\(\begin{gathered}\\\quad\longrightarrow\quad\boxed{\sf{h(x)= 2x^2-5x-3}} \\\end{gathered} \)

Answer:

(02.02 HC)

The boxes described below have the same volume but different dimensions and surface area. Describe

the relationship between the surface area and the volume of a cell. Analyze the data and explain why cell

shapes can be beneficial.

future: a day, a week, or even a few months from now.

short-term goal

long-term goal

intermediate goal

specific goa

Answer:

Step-by-step explanation: B. SSS because it shows us three sides ,C.RHS because it has a right angle, d. AAS because it shows us two sides and a non included side,  e. RHS because it has a right angle,  f. AAS because it has two angles and non included side.

We have:

Diameter = 2 in

Height =h= 4 in

Pi = 3.14

Apply the formula:

Volume of a cone (V)= 1/3 pi r^2 h

Where:

r = radius = diameter / 2 = 2 /2 = 1 in

Replacing:

V = 1/3 (3.14) (1)^2 (4 ) = 4.2 in^3

Answer:

c. dP/dt = (1/5)P

Step-by-step explanation:

Given that the rate of change of population with respect to time dP/dt is directly proportional to the population, P, we have

dP/dt ∝ P

dP/dt = kP

Given that dP/dt = 2 million insects per day and P = 10 million insects after 5 days, So,

2 = k × 10

k = 2/10

k = 1/5

So, dP/dt = kP

dP/dt = (1/5)P

The option C is correct

The rate of change of a function with respect to the given variable.

The rate of change of population with respect to time is directly proportional to the population P. We have

\(\dfrac{\mathrm{d} P}{\mathrm{d} t} \propto P\\\\\dfrac{\mathrm{d} P}{\mathrm{d} t} = kP\)

\(\dfrac{\mathrm{d} P}{\mathrm{d} t}\) is 2 million insects per day and P = 10 million insects after 5 days. So

\(\begin{aligned} \dfrac{\mathrm{d} P}{\mathrm{d} t} &= kP\\2 &= 10k\\k &= \dfrac{1}{5} \\\end{aligned}\)

Then

\(\dfrac{\mathrm{d} P}{\mathrm{d} t} = kP\\\\ \dfrac{\mathrm{d} P}{\mathrm{d} t} = \dfrac{1}{5} P\)

Thus, option C is correct.

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Answer: 1560

Step-by-step explanation: The average rate of change of a function over an interval is the total change in the value of the function divided by the length of the interval. In this case, the function is f(x) = 10(2)^x and the interval is [3, 5].

To find the average rate of change of the function over the interval, we can first evaluate the function at the two endpoints of the interval, which are x = 3 and x = 5. At x = 3, the function has a value of f(3) = 10(2)^3 = 80. At x = 5, the function has a value of f(5) = 10(2)^5 = 3200.

The total change in the value of the function over the interval is then the difference between the values at the two endpoints, which is f(5) - f(3) = 3200 - 80 = 3120.

The length of the interval is 5 - 3 = 2, since it goes from x = 3 to x = 5. Therefore, the average rate of change of the function over the interval is the total change in the value of the function divided by the length of the interval, which is (3120) / 2 = 1560.

Therefore, the average rate of change of the function f(x) = 10(2)^x on the interval [3, 5] is 1560.

The number that has a 4 in the hundred places.

The analysis of mathematical representations is algebra, and the handling of those symbols is logic.

A 4 with a value ten times less than the 4 in the number 123,469.

First, the value of the 4 in the number 123,469 can be found by separating each digit as:

123,469 = 100,000 + 20,000 + 3,000 + 400 + 60 + 9

Then the value of the 4 is 400.

Now we want a number that has a 4 with a value then times less than 400. Then we have

400/10 = 40

Then we want a number that has a 4 in the hundred places.

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The statement "Participation in the FDIC is mandatory and required for all U.S. Banks" is false.

The Federal Deposit Insurance Corporation is one of two agencies that supply deposit insurance to depositors in American depository institutions, the other being the National Credit Union Administration, which regulates and insures credit unions.

Given is the statement as -

"Participation in the FDIC is mandatory and required for all U.S. Banks."

The given statement is false. It is not mandatory for all U.S. Banks to participate in FDIC

Therefore, the statement "Participation in the FDIC is mandatory and required for all U.S. Banks" is false.

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The perimeter and area of the shape are 26 units and 21 units²

The area of a shape is the space occupied by the boundary of a plane figures like circles, rectangles, and triangles.

Perimeter is a math concept that measures the total length around the outside of a shape.

Find the length of the polygon

x = √3² +2²

x = √ 9+4

x = √13

= 7.2 units

y = √ 3² + 5²

y = √9+25

y = √34

y = 5.8 units

Perimeter = 2(x+y)

= 2( 7.2 + 5.8)

= 2 × 13

= 26 units

Area of triangle 1 = 1/2 × 6 × 2

= 6units²

Area of triangle 2 = 1/2 × 6 × 5

= 15 units

area of the polygon = 15 +6 = 21 units²

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Answer:

Step-by-step explanation:

If Robert is 7 1/2 months old you need to multiply 7 1/2 by 12 because there are 12 months in a year.  

7x12=84  

1/2x12=6

6+84=90

For the fractions, the calculation of 3/5 of 2/3 of 3/4 of 560 is equal to 168.

To calculate 3/5 of 2/3 of 3/4 of 560, break it down step by step:

Step 1: Calculate 3/4 of 560:

3/4 × 560 = (3 × 560) / 4 = 1680 / 4 = 420

Step 2: Calculate 2/3 of the result from Step 1:

2/3 × 420 = (2 × 420) / 3 = 840 / 3 = 280

Step 3: Calculate 3/5 of the result from Step 2:

3/5 × 280 = (3 × 280) / 5 = 840 / 5 = 168

Therefore, 3/5 of 2/3 of 3/4 of 560 is equal to 168.

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so

now by division, we can write

when we divide by a fraction, we multiply by its reciprocal

Answer:

12/11

Step-by-step explanation:

11/11=1

1/11=1/11

11/11+1/11=12/11

\(1\frac{1}{11}\)  rewritten as a single fraction is 12/11

\(1\frac{1}{11}\) is a mixed fraction.

A fraction is a number that is made up of a numerator and a denominator.

A mixed fraction is made up of a whole number and a proper fraction. A proper fraction is a fraction that is made up of a numerator that is less than a denominator.

For example, \(\frac{1}{11}\) is a proper fraction. The numerataor,1, is less than the denominator, 11.

We are to convert the mixed fraction to an improper fraction. An improper fraction is a fraction that its numerator is greater than the denominator.

In order to convert to an improper fraction, take these steps

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Answer:

Equation of line in Point Slope Form is \(\mathbf{y-2=-2(x-9)}\)

Equation of line in Slope Intercept Form is: \(\mathbf{y=-2x+20}\)

Step-by-step explanation:

We need to write equation of line having slope -2 and point (9,2)

a) Equation in Point Slope Form

The general equation of point slope form is: \(y-y_1=m(x-x_1)\)

Where x₁ and y₁ are the points of line and m is slope.

x₁=9 and y₁=2 and m=-2

Putting values in formula and finding equation:

\(y-y_1=m(x-x_1)\\y-2=-2(x-9)\)

So, Equation of line in Point Slope Form is \(\mathbf{y-2=-2(x-9)}\)

b) Equation in Slope Intercept Form

The general equation of Slope Intercept Form is: \(y=mx+b\)

where m is slope and b is y-intercept

Finding y-intercept using slope m=-2 and point(9,2)

\(y=mx+b\\2=-2(9)+b\\2=-18+b\\b=2+18\\b=20\)

The equation in slope m=-2 and b=20 is:

\(y=mx+b\\y=-2x+20\)

So, equation of line in Slope Intercept Form is: \(\mathbf{y=-2x+20}\)

The correct answer is (1,1) because both of the lines meet together at these numbers

Answer:

it answer is 180

Step-by-step explanation:

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Answer:

\(\huge\boxed{\fcolorbox{green}{violet}{Answer}}\)

\(144(x - 36) \\ = 144 \times x - 144 \times 36 \\ = 144x - 5184 \\ x = \frac{5184}{144} \\ x = 36\)

a) The distance from point P to the pole  is: 6.2 m

b) The height of the Pole is: 6.2 m

The triangle attached shows us the triangle formed as a result of the given word problem about angle of elevation and distance and height.

Now, we are given that:

The angle of elevation of the top of the pole =  45°

Angle of elevation of the top of the pole = 58°.

|PQ|= 10m

a) PR is distance from point P to the pole and using trigonometric ratios, gives us:

PR/sin 58 = 10/sin(180 - 58 - 45)

PR/sin 58 = 10/sin 77

PR = (10 * sin 58)/sin 77

PR = 8.7 m

b) P O can be calculated with trigonometric ratios as:

P O = PR * cos 45

P O = 8.7 * 0.7071

P O = 6.2 m

Now, the two sides of the isosceles triangle formed are equal and as such:

R O = P O

Thus, height of pole R O = 6.2 m

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The exponential function graphed in this problem is given as follows:

\(y = e^x\)

An exponential function has the definition presented according to the equation as follows:

\(y = ab^x\)

In which the parameters are given as follows:

The graphed function has an intercept of 1, hence the parameter a is given as follows:

a = 1.

The function has the base e, hence it is given as follows:

\(y = e^x\)

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The number that does not belong with the other three is D. 10 x 9.2 ⁻¹³

With the first three numbers, the base of the exponential that is being multiplied by the first number is 10. These numbers are:

With the last number however, we see that the base of the exponential is 9. 2 and not 10 like the others. This is why 10 x 9 . 2 ⁻¹³ does not belong with the rest.

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Answer:

Hence, the equation of the line that passes through the points (8,0) and (-9,-9) is \(y =\frac{9x}{17} - \frac{72}{17}\).

Step-by-step explanation:

We have to find the equation of the line that passes through the points (8,0) and (-9,-9).

Let the two points be (\(x_1,y_1\)) = (8, 0) and (\(x_2, y_2\)) = (-9, -9).

Now, we will find the two-point slope using the above two points, i.e;

Slope =  \(\frac{y_2-y_1}{x_2-x_1}\)

          =  \(\frac{-9-0}{-9-8}\)  =  \(\frac{9}{17}\)

Now, the equation of the line using one of the point, let's say (\(x_1,y_1\)) = (8, 0) is given by;

\(y - y_1 = \text{Slope} \times (x - x_1)\)

\(y - 0 =\frac{9}{17} \times (x - 8)\)

\(y =\frac{9x}{17} - \frac{72}{17}\)

Hence, the equation of the line that passes through the points (8,0) and (-9,-9) is \(y =\frac{9x}{17} - \frac{72}{17}\).

SOLUTION

From the right triangle with two interior angles of 45 degrees, the two legs are equal in length, that is AB = BC

And from Pythagoras, the square of the hypotenuse (AC) is equal to the square of the other two legs or sides (AB and AC)

So this means

So from the first option

Hence the 1st option is correct, so its possible

The second option

Hence the 2nd option is wrong, hence not possible

The 3rd option

Hence the 3rd option is wrong, not possible

The 4th option

Hence the 4th option is correct, it is possible

The 5th option

AB = BC

This is correct, and its possible

The last option

This is wrong and not possible because AB should be equal to BC

Hence the correct options are the options bolded, which are

1st, 4th and 5th

Answer:

1/8 I think

Step-by-step explanation:

Answer: Let x be the side length of each square cut out from the corners.

After cutting out the squares, the dimensions of the resulting rectangle will be:

length = 360 - 2x

width = 240 - 2x

The height of the box will be equal to the side length of the squares cut out, which is x.

The volume of the box is given by the formula:

V = length × width × height

Substituting the expressions for length, width, and height, we get:

V = (360 - 2x)(240 - 2x)x

Expanding this expression, we get:

V = x(86400 - 120x + 4x^2)

To find the maximum volume, we need to find the value of x that maximizes the expression for V.

We can do this by finding the critical points of the function V(x) and then determining whether these points correspond to a maximum or a minimum.

Taking the derivative of V(x) with respect to x, we get:

V'(x) = 86400 - 240x + 8x^2

Setting V'(x) = 0 to find the critical points, we get:

8x^2 - 240x + 86400 = 0

Dividing both sides by 8, we get:

x^2 - 30x + 10800 = 0

Using the quadratic formula to solve for x, we get:

x = (30 ± √(30^2 - 4(1)(10800))) / 2

x = (30 ± 210) / 2

We can discard the negative solution, since x represents a length and therefore must be positive. Thus, we get:

x = (30 + 210) / 2

x = 120

Therefore, the side length of the squares cut out from the corners should be 120 mm in order to maximize the volume of the box.

To find the maximum volume, we can substitute x = 120 into the expression for V:

V = x(86400 - 120x + 4x^2)

V = 120(86400 - 120(120) + 4(120)^2)

V ≈ 27648000 mm^3

Therefore, the maximum volume of the box is approximately 27,648,000 mm^3, and this maximum is achieved when the side length of each square cut out from the corners is 120 mm.

Step-by-step explanation: