1. Find the volume of the rectangular prism that has a height of 5 meters and the area of the base is 8m2.​

Answer:

60

step-by-step explanation:

Answer: 60

Step-by-step explanation: Basically just multiply the whole number by 2 :)

Whenever you see something times 0.5, just know that its going to be that number times 2 (like another half of that number if you understand)

Why? Because 0.5 is basically like a one half (1/2) and you flip the stuff. since 0.5 is a half, here's a tip. Whenever you're dividing with decimals, use the formula KCF (keep, change, flip) (what my teacher taught me before)          

Here's a drawing to better explain:

Answer:

1:3

Step-by-step explanation:

circles:total

2:4+2

=2:6

=1:3

Reason

There are 2 circles and 4+2 = 6 shapes total.

The ratio of circles to total shapes is 2:6 which reduces to 1:3

The order is important since 3:1 is different from 1:3.

Answer:

Try B

Step-by-step explanation:

Answer:

Option B, 1

Step-by-step explanation:

tan 45° = 1/1 = 1

Step-by-step explanation:

7! = 5040 ways

The length of EB is approximately 14.6 units when rounded to the nearest tenth.

To find the length of EB, we can use the property of similar triangles in this diagram. By looking at triangle DFE and triangle CFB, we can see that they are similar triangles.

Using the similarity ratio, we can set up the proportion:

DF / CF = DE / EB

Plugging in the given values, we have:

13.1 / 10.9 = 17.5 / EB

To find EB, we can cross-multiply and solve for EB:

13.1 * EB = 10.9 * 17.5

EB = (10.9 * 17.5) / 13.1

EB ≈ 14.6

Therefore, the length of EB is approximately 14.6 units when rounded to the nearest tenth.

for such more question on length

https://brainly.com/question/20339811

#SPJ8

Answer:

A is correct.  f(n) = -3n + 24

Step-by-step explanation:

We can see in the first two steps that two meals have been served, and six cups of pet food consumed.  In other words, six cups are consumed in two meals, therefore three cups are consumed in each meal.

If we look at the remaining numbers on the chart, we can see that this carries through.  This tells us that the correct answer must be either a or b, as "-3n" represents the consumption rate.  If it were (1/3)n, then only a third of a cup would be consumed per meal.

Finally, we can figure out which of those two equations is correct simply by plugging a value pair into them.  Starting with a:

f(1) = -3(1) + 24

= 24 - 3

= 21

correct.

To be certain, let's check with answer c:

f(1) = -3(1) + 64

= 64 - 3

= 61

incorrect.

So we can clearly say that the correct answer is "a".  You can plug the other values into it to test that too:

f(3) = -3(3) + 24

= 24 - 9

= 15

correct

So we definitely have the right answer.

Answer:

Step-by-step explanation:

8

Hypotenuse equals opposite/tan(45°) = 300/1 = 300 feet. Boat A is therefore 300 feet horizontally away from the lighthouse.

The numerical measurement of distance is the separation between two objects or points. Typically, it is expressed in terms of metres, kilometres, miles, or feet. Distances can be calculated either along a simple path (the Euclidean distance) or along a more complicated one (such as a curved surface or a circuitous route). Distance is a crucial notion that is used to define the separation between things, the length of a route or path, and the displacement of an object through time in many disciplines, including physics, mathematics, geography, and engineering.

given

We may utilise trigonometry and create some equations based on the provided angles and distances to solve this problem.

a) We can use the tangent function to calculate the separation between boat A and the lighthouse:

opposite/hypotenuse = tan(45°)

where the hypotenuse is the distance between boat A and the lighthouse, the other side is the lighthouse's height (i.e., the horizontal distance we want to find). By calculating the hypotenuse, we obtain:

Hypotenuse equals opposite/tan(45°) = 300/1 = 300 feet. Boat A is therefore 300 feet horizontally away from the lighthouse.

To know more about distance visit :-

brainly.com/question/29130992

#SPJ1

One of the function that satisfies all four statements is f(x) = 2 - \(e^{3-x}\) , for x ≤ 3.

The function that satisfies all four statements is a decreasing function with a horizontal asymptote y = 0 that intersects the x-axis at x = 3. One possible function that satisfies all four statements is:

f(x) = 2 - \(e^{3-x}\), for x ≤ 3

Explanation:

Statement 1, The domain of the function is x ≤ 3 because the expression \(e^{3-x}\) becomes undefined for x > 3.

Statement 2, The range of the function is y ≥ 0 because the exponential term \(e^{3-x}\) is always positive and subtracting it from 2 will always result in a non-negative value.

Statement 3, The x-intercept of the function is 3 because f(3) = 0, which means the graph intersects the x-axis at x = 3.

Statement 4, When x decreases, the function increases because the exponential term \(e^{3-x}\) becomes smaller and smaller as x decreases, which causes the entire expression 2 - \(e^{3-x}\) to increase.

Correct Question :

Write a function for which all four statements are true.

Statement 1: The domain of the function is x ≤ 3.

Statement 2: The range of the function is y ≥ 0.

Statement 3: The x-intercept of the function is 3.

Statement 4: When x decreases, the function increases.

To learn more about function here:

https://brainly.com/question/12431044

#SPJ1

Answer:

9.8 inches

Step-by-step explanation:

C = 2\(\pi\)r

61.544 = 2(3.14)r

61.544 = 6.28 r  Divide both sides by 6.28

9.8 = r

The value of x is equal to 35° and the measure of the angle between points AY, m∠AND is equal to 80°.

From the question, we observe that the larger angle between m∠ANY consists of the two angles between m∠AND and m∠YND, so we shall sum the two small angles and equate the result to the larger angle to solve for the value of x as follows:

2x + 10 + 30 = 110°

2x + 40 = 110

2x = 110 - 40 {subtract 40 from both sides}

2x = 70

x = 70/2 {divide through by 2}

x = 35°

so we can evaluate for the angle between m∠AND as follows:

m∠AND = 2(35) + 10

m∠AND = 70 + 10

m∠AND = 80°

In conclusion, the value of x is equal to 35° and the measure of the angle between points AY, m∠AND is equal to 80°.

Know more about angles here:https://brainly.com/question/25770607

#SPJ1

Recall the half-angle identity for cosine:

cos²(x) = 1/2 (1 + cos(2x))

Then we can rewrite the integrand as

cos³(4x) = cos(4x) cos²(4x) = 1/2 cos(4x) (1 + cos(8x))

So we have

\(\displaystyle \int \cos^3(4x) \, dx = \frac12 \int (\cos(4x) + \cos(4x)\cos(8x)) \, dx\)

Next, recall the cosine product identity,

cos(a) cos(b) = 1/2 (cos(a - b) + cos(a + b))

so that the integral is equivalent to

\(\displaystyle \int \cos^3(4x) \, dx = \frac12 \int \cos(4x) \, dx + \frac14 \int (\cos(4x - 8x) + \cos(4x + 8x)) \, dx\)

\(\displaystyle \int \cos^3(4x) \, dx = \frac34 \int \cos(4x) \, dx + \frac14 \int \cos(12x) \, dx\)

Computing the rest is trivial:

\(\displaystyle \int \cos^3(4x) \, dx = \boxed{\frac3{16} \sin(4x) + \frac1{48} \sin(4x) + C}\)

Answer:

yesyes

Step-by-step explanation:

Ok so

he parent equation of the given graph is

where, n is any even number.

When this function is vertically shifted ( vertical dilation) down in the y- axis,

we get a graph similar to the one given in the question.

Your welcome Hope it REALLy help :).

It has been (mathematically) proven that there is no polynomial time algorithm for any np-complete problem. the given statement is false.

In order to solve previously unsolvable issues, Leonid Khachiyan developed a polynomial-time method, in which the number of processing steps increases as a power of the number of variables rather than exponentially.

Determining whether NP-complete problems are tractable or intractable remains one of the most crucial concerns in theoretical computer science since it is unknown if any polynomial-time algorithms will ever be developed for them.

So, it is unknown if any polynomial-time algorithms will ever be developed for them.

By applying different constraints, a linear function is maximized or reduced in linear programming, a mathematical modelling approach. In commercial planning, industrial engineering, and—to a lesser extent—the social and physical sciences, this method has proven helpful for directing quantitative decisions.

For more question on Polynomial Time algorithm

https://brainly.com/question/8927262

#SPJ4

Answer:

\(38 \div5 \\ \)

The art teacher can make a maximum of 24 identical kits using all the crayons and drawing paper for proper distribution.

To determine the largest number of identical kits the art teacher can make using all the crayons and drawing paper, we need to find the greatest common divisor (GCD) of the quantities.

The GCD represents the largest number that can divide all the quantities without leaving a remainder.

The GCD of the quantities of crayons can be found by considering the prime factorization:

72 = 2³ × 3²

48 = 2⁴ × 3

48 = 2⁴ × 3

48 = 2⁴ × 3

The GCD of the crayons is 2³ × 3 , which is 24.

Now, we need to find the GCD of the quantity of drawing paper:

120 = 2³ × 3 × 5

The GCD of the drawing paper is also 2³ × 3 , which is 24.

Since the GCD of both the crayons and drawing paper is 24, the art teacher can make a maximum of 24 identical kits using all the crayons and drawing paper.

Each kit would contain an equal distribution of crayons and drawing paper.

Learn more about distribution here:

brainly.com/question/30034780

#SPJ1

The larger the sample size, the smaller the standard error; therefore, the width of a confidence interval decreases as the sample size increases.

The average rate of change of the function f(x) = √(x+4) over the interval 2 ≤ x ≤ 6 is approximately 0.29 to the nearest hundredth.

To find the average rate of change of the function f(x) = √(x+4) over the interval 2 ≤ x ≤ 6, we need to calculate the change in the function divided by the change in the input variable over that interval.

The change in the function between x = 2 and x = 6 is:

f(6) - f(2) = √(6+4) - √(2+4) = √10 - √6

The change in the input variable between x = 2 and x = 6 is:

6 - 2 = 4

So, the average rate of change of the function over the interval 2 ≤ x ≤ 6 is:

(√10 - √6) / 4

To approximate the answer to the nearest hundredth, we can use a calculator or perform long division to get:

(√10 - √6) / 4 ≈ 0.29

For such more questions on function

https://brainly.com/question/11624077

#SPJ8

Let h be the height of the tree

We will use the proportion:

cross-multiply

8.1 h = 364

Divide both-side by 8.1

h =44.94 ft

A. The function to represent the balance in the account after t years is:

\(A = 1500(1 + (0.012 / 4))^{(4t)}\)

B. The balance in the account after 3 years will be $1566.66.

C. The balance in the account after 6 years will be $1639.98.

Compound interest is defined as interest paid on the original principal and the interest earned on the interest of the principal.

A = P(1+r/100)ⁿ

A. The function to represent the balance in the account after t years can be represented as:

\(A = 1500(1 + (0.012 / 4))^{(4t)}\)

where A is the balance in the account after t years, 1500 is the initial deposit, 0.012 is the annual interest rate as a decimal, 4 is the number of compounding periods per year, and (0.012 / 4) is the interest rate per compounding period.

B. To find the balance after 3 years:

A = 1500(1 + (0.012 / 4))⁴ˣ³ = 1500 (1 + (0.012 / 4))¹²

A = 1500 × 1.0444

A = 1566.66

So, the balance in the account after 3 years will be $1566.66.

C. To find the balance after 6 years:

A = 1500 (1 + (0.012 / 4))⁴ˣ⁶ = 1500 * (1 + (0.012 / 4))²⁴

A = 1500 × 1.0932

A = 1639.98

So, the balance in the account after 6 years will be $1639.98.

To learn more about Compound interest click here:

brainly.com/question/25857212

#SPJ9

Explanation:

Start with 11, and count down until you reach 1. Multiply everything along the way.

11*10*9*8*7*6*5*4*3*2*1 = 39,916,800

Or a shortcut would be to say

11! = 39,916,800

The exclamation mark means factorial. It tells the calculator to follow the instructions mentioned above.

The number 39,916,800 is a little over 39.9 million, or you could say it's a bit smaller than 40 million.

Answer:

x = 20

Step-by-step explanation:

In similar polygons, all corresponding sides are proportional. The scale factor between AB and DE is the same as between AC and DF.

\(\frac{DE}{AB}=\frac{DF}{AC}\\\\\frac{4+x}{4}=\frac{36}{6}\\\\6(4+x)=4(36)\\24+6x=144\\6x=120\\x=20\)

You can confirm that by plugging it back into the original equation:

\(\frac{4+x}{4}=\frac{36}{6}\\\\\frac{4+(20)}{4}=\frac{36}{6}\\\\\frac{24}{4}=\frac{36}{6}\\\\6=6\)

Answer:

795 * 13 + 6754 / 7 = 2,327.71

Step-by-step explanation:

795 * 13 + 6754 / 7 = 2,327.71

Answer:

Step-by-step explanation:

2/x-5

cyclist a speed is d = v × t

so you can find velocity of a and b.

then compare them both.

The length of the left foot is greater than the length of the right foot, a random sample of adults in the United States needs to be selected.

Adults in the United States are the population of interest in this study. B.

The sample needs to be representative of the population of interest, meaning that it should reflect the characteristics of the population, such as age, gender, and ethnicity.

Once the sample is selected, the length of the left foot and the length of the right foot for each individual in the sample need to be measured.

The difference between the two lengths can be calculated, and the average difference can be computed.

If the average difference is positive, then it suggests that the length of the left foot is longer than the length of the right foot, which would support the shoe manufacturer's claim.

The average difference is not significantly different from zero, then we cannot conclude that the length of the left foot is greater than the length of the right foot.

It is important to note that the sample in the study is not the population of interest.

The sample is used to draw inferences about the population.

The conclusion that can be drawn from the study applies only to the population of interest is all adults in the United States.

For similar questions on length

https://brainly.com/question/20339811

#SPJ11

Answer:

100°

Step-by-step explanation:

the total of all angles around O on one side of AD is 180° (as that would represent a half-circle).

and the sum of the arc angles AB + BC + CD covers the whole 180°.

so, we have

180 = 55 + BC + 25

180 = 80 + BC

BC = 100°

Answer:

Step-by-step explanation:

We are going the use the revolve constructive geometry operation

Step one:

Knowing fully well that the simple mug has a cylindrical shape, and all preliminary settings are in place, like the units may be in inches or mm.

We first need to draft out the section of the mug, this will look like an "L" shape with thickness set to whatever dimension you may have in mind.

The next in line is to create an axis using a construction line parallel to the L shape.

Then use the revolve tool to create the cylindrical shape by selecting the axis as the reference of rotation and the angle of rotation set to 360 degrees.