What is the volume of rectangular prism with a length of 5 inches, width of 2 inches and a height of 3 inches?

Answer:

RV = 15, ∠ VUR = 48°

Step-by-step explanation:

The diagonals of a rectangle are congruent , so

RT = SU , that is

5x - 10 = 4x - 2 ( subtract 4x from both sides )

x - 10 = - 2 ( add 10 to both sides )

x = 8

Then

RT = 5x - 10 = 5(8) - 10 = 40 - 10 = 30

The diagonals bisect each other , then

RV = 0.5 × 30 = 15

---------------------------------------------------------------

∠ RVU = ∠ svt = 84° ( vertical angles )

RV = UV ( diagonals are congruent and bisect each other )

Then Δ RVU is isosceles with base angles congruent , then

∠ VUR = \(\frac{180-84}{2}\) = \(\frac{96}{2}\) = 48°

Answer:

Desmos is a free graphing and teaching tool for math available on the web as well as on iOS and Android. In addition to plotting equations, classroom activities are available to help students learn about a variety of math concepts.

A definition of Desmos has been given below

What is Desmos?
Desmos can be applied in a variety of contexts. Students can avoid spending $100 on a graphing calculator by using it for free. It can be used by teachers to create stunning images for tests and presentations. But Desmos really shines in the classroom exercises. Teachers can use Desmos to assist students in making the connection between mathematical concepts and actual, concrete shapes and images. It's simple to begin an activity with your students: Just instruct the children to enter the website's activity code. Try the student preview of an activity before assigning it. In the teacher moves section at the bottom of each activity, you can find specific ways to guide your children while they work. The teacher dashboard allows for the tracking of progress.

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Answer:

=2xy²+2x²y

Step-by-step explanation:

Delete the parenthesis of both operations.

= x²y - 3y² + 5xy² + x²y - 3xy² - 3y²

Then you have to make the simplification

= 2xy²+2x²y

Answer:

B) Inside the nucleus of an atom are protons and electrons.

Explanation:

Inside the nucleus of an atom are protons and neutrons. Electrons orbit (kind of?) away from the nucleus.

Answer: y=x²+5x−24

Step-by-step explanation:

No triangle is similar.

Similar triangles are triangles that have the same shape, but their sizes may vary.

Given that, are triangles HDE and HFG,

We need to find that which triangle is similar to HGF,

We have,

GH = 37

HE = 22

HD = 24

HF = 33

Now,

GH / HE ≠ HF / HD

And,

GH / HD ≠ HF / HE

Since, no sides are in equal ratio and we don't have any clue about angles,

Hence, no similarity rule is following.

Therefore, no triangle is similar.

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A gram is a unit of weight, while a cup is a unit of volume. So, to convert between grams and cups, we need to know the density of the ingredient being measured. 400 grams of sugar has a volume of about 2.5 cups

When measuring ingredients for cooking or baking, it is often necessary to convert between different units of measurement. One common conversion is between grams and cups. To convert 400 grams to cups, we first need to find out the density of the ingredient in question. Density is the mass of an object per unit volume. The density of a substance can vary depending on factors such as temperature, pressure, and humidity. In general, the denser an ingredient is, the less volume it will take up for a given weight. For example, 400 grams of flour has a volume of about 2 cups. However, 400 grams of sugar has a volume of about 2.5 cups. This is because flour is less dense than sugar. Therefore, to convert 400 grams to cups, you will need to know the density of the ingredient in question.

It is worth noting that there is no exact conversion factor between grams and cups. There are different conversion factors for different ingredients, as the densities of different ingredients can vary. Therefore, it is important to consult a conversion chart or recipe that lists the appropriate conversion factor for the specific ingredient you are using.

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Answer:

bkrjrjjrkrkrkririirkr

Step-by-step explanation:

I hope it will help you....

It took Paul a total of 12 hours and 40 minutes to complete all three parts of the Ironman triathlon.

Paul’s time for swimming in the Ironman triathlon was 1 hour 25 minutes. Her time for biking was 5 hours longer than her swimming time, so her biking time was (1 hour + 5 hours) = 6 hours 25 minutes. She ran for 4 hours 50 minutes. The total time it took her to complete all three parts of the race is (1 hour 25 minutes) + (6 hours 25 minutes) + (4 hours 50 minutes) = 12 hours 40 minutes.

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Yes, a transformation can involve the addition, subtraction, multiplication, or division of or by a constant. In fact, these operations are commonly used in mathematical transformations.

For example, adding a constant to each value in a set of data is a common way to shift the entire set of values up or down. Multiplying each value in a set of data by a constant is a common way to stretch or shrink the data. Subtraction and division can also be used in transformations, depending on the context. However, it is important to note that not all transformations involve these operations.

Some transformations may involve more complex operations, such as exponentiation or logarithmic transformations. So, the short answer is yes, but the long answer is that it depends on the specific transformation being used.

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Answer:

6x>-24 x=2

Step-by-step explanation:

( the > needs to have a line under it)

Answer:

x = -45

Step-by-step explanation:

(3/5)x - 15 = (6/5)x + 12

(6/5)x - (3/5)x = -15 - 12

(3/5)x = -27

0.6x = -27

x = (-27)/0.6

x = -45

Answer:

Step-by-step explanation:

If you mean 3x^3 - 42x^2 - 4x + 5 = 0 you can graph it manually or with technology

The roots are 14.09, 0.30 and -0.39 to nearest hundredth.

Answer:

The answer is actually not an option here. The answer is y=-1/3x+16

You would need to walk approximately 11 miles to burn off all the calories from the "Big Breakfast with Hotcakes

To calculate the number of miles you need to walk to burn off all the calories from breakfast, we can use the following steps:

1. Convert the provided calorie value to kilojoules:

  Calories = 1090

  1 Calorie = 4.184 kJ

  Energy in kilojoules = Calories * 4.184 kJ/Calorie

  Energy in kilojoules = 1090 * 4.184 kJ/Calorie

2. Determine the amount of energy burned per mile:

  Energy burned per mile = 418 kJ/mile

3. Divide the total energy from breakfast by the energy burned per mile to obtain the number of miles needed to be walked:

  Miles = Energy in kilojoules / Energy burned per mile

  Miles = (1090 * 4.184 kJ/Calorie) / 418 kJ/mile

Simplifying the expression:

  Miles = (1090 * 4.184 kJ/Calorie) / 418 kJ/mile

  Miles = 11

Hence, in order to eliminate the calories consumed from the "Big Breakfast with Hotcakes," you would have to walk for about 11 miles.

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Answer:

It is C

Step-by-step explanation: The explanation says that he subtracted 10 by 20 and divided by 5 so the real answer is 18 but the answer in your page is C

Your Welcome :)

The new coordinate after the given composite translation (x,y) → (x-5,y+5) will be (x+3,y+12).

Transformation is rearranging a graph by a given rule it could be either increment of coordinate or decrement or reflection.

Reflection is a mirror image of a graph about any axis.

If we reflect any graph about y = x then the coordinate will interchange it that (x,y) → (y,x).

As per the given translation rule,

(x,y) → (x+8,y+7)

The next translation is (x,y) → (x-5,y+5)

The resultant translation will be,

(x,y) → (x+8,y+7) to (x+8-5,y+7+5)

⇒ (x+3,y+12)

Hence "The new coordinate after the given composite translation (x,y) → (x-5,y+5) will be (x+3,y+12)".

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Answer:

Step-by-step explanation:

the number is 18, so half of that would be

Answer:

A. The shop will sell twice as many roses as daisies

Step-by-step explanation:

Look at each choice and use today's numbers.

A. roses: 18; daisies 9

18 is twice 9.

True

B. roses: 18; lilies: 12

18 and 12 are certainly not equal.

False

C. Lilies: 12, but roses 18

It's more roses than any other.

False

D. Lilies: 12; roses: 18

It's 6 more roses than lilies, not the other way around.

False

To look from the guest to their left to the guest to their right at a round table seating 6 people, you need to rotate by 60 degrees.

For a regular polygon with n sides, the sum of its interior angles is given by ((n - 2) × 180) degrees. In the case of a round table seating 6 people, the table can be considered as a hexagon, which has 6 sides. Using the formula, we can calculate the sum of the interior angles:

((6 - 2) × 180) / 6 = (4 × 180) / 6 = 720 / 6 = 120 degrees

Since the table forms a complete circle, the sum of the interior angles is divided equally among the guests. Therefore, each guest sits at an angle of 120 degrees. To look from the guest to their left to the guest to their right, you need to rotate by the angle between adjacent guests, which is half of the angle they sit at:

120 / 2 = 60 degrees

Thus, to look from the guest to their left to the guest to their right at a round table seating 6 people, you need to rotate by 60 degrees.

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Answer:

0.28 meters per second.

Step-by-step explanation:

We have that the speed formula is as follows:

v = d / t

In this case they tell us that the distance is 2 km the equivalent of 2000 meters and the time is 2 hours the equivalent of 7200 seconds, we replace and we are left with:

v = 2000/7200 = 0.28

Therefore it ran 0.28 meters per second.

The percent increase in temperature when an oven changes from 350 to 362 is approximately 3.4%.

To calculate the percent increase in temperature, we need to find the difference between the initial temperature and the final temperature, divide that difference by the initial temperature, and then multiply the result by 100 to convert it to a percentage.

The difference between the initial temperature of 350 and the final temperature of 362 is

362 - 350 = 12

To find the percent increase, we divide the difference by the initial temperature

12 / 350 = 0.0342857...

Multiplying by 100, we get

0.0342857... * 100 = 3.42857...

Rounding to the nearest tenth of a percent, we get

3.4%

Therefore, the percent increase in temperature is approximately 3.4%.

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since the population standard deviations (σ1 and σ2) are not provided, we cannot calculate the exact test statistic Z.

To test the null hypothesis H0: (μ1 - μ2) = 0 versus the alternative hypothesis Ha: (μ1 - μ2) ≠ 0, we can use a two-sample z-test. The test statistic is calculated as:

Z = (x bar1 - x bar2) / sqrt((σ1^2 / n1) + (σ2^2 / n2))

Where:
X bar1 and x bar2 are the sample means of the two groups,
σ1 and σ2 are the population standard deviations of the two groups,
n1 and n2 are the sample sizes of the two groups.

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Answer:

y=4x+6

Step-by-step explanation:

Answer:

  (6, 2/7)

Step-by-step explanation:

You want the coordinates of the hole in the graph of (n² -10n +24)/(n² -5n -6).

Simplifying the given rational expression, we have ...

  \(\dfrac{n^2-10n+24}{n^2-5n-6}=\dfrac{(n-6)(n-4)}{(n-6)(n+1)}=\dfrac{n-4}{n+1}\quad n\ne6\)

At n = 6, the simplified expression is ...

  (6 -4)/(6 +1) = 2/7

The hole is located at (6, 2/7).

__

Additional comment

Even though the factor (n-6) in the denominator cancels the one in the numerator, the function remains undefined there. Hence the "hole". If there were no corresponding numerator factor at that point, there would be another vertical asymptote at n=6.

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The value of b in the equation \(b^{3}\) = 125  will be 5. Option (b) is correct.

The question is about the system of equations. According to the question, we have the following equation:
b³ = 125.
We can find the value of b by simplifying and using the rules of equations.

First, we need to Factorize 125 on the right-Hand side, we get.

b³ = 5.5.5 = 5³

Hence we get,
b³ = 5³
We know that if there are two expressions that are equal and we add, subtract, multiply or divide into both sides of the equation, the resulting equation will also be equal. So, Multiply both sides by the cube root, and we get:

\(\sqrt[3]{b^{3}} = \sqrt[3]{5^{3}}\)

\((b^{3})^{\frac{1}{3}} = (5^{3})^{\frac{1}{3}}\)

\((b})^{\frac{3}{3}} = (5})^{\frac{3}{3}}\)

\((b})^1 = (5})^1\)

So we get the value of b = 5, hence the correction option will be (b).

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The 30th term of the arithmetic sequence is -162.

The sequence is an arithmetic sequence. Therefore, the 30th term of the arithmetic sequence can be found as follows:

12, 6, 0, -6, ...

aₙ = a + (n - 1)d

where

Therefore,

a = 12

d = 6 - 12 = -6

n = 30

Therefore,

a₃₀ = 12 + (30 - 1)-6

a₃₀ = 12 + (29)-6

a₃₀ = 12  - 174

a₃₀ = -162

Therefore,

30th term = -162

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gAnswer

Range of the sample means = 3.34

Explanation

The range is defined as the difference between the highest and the lowest number. Mathematically,

Range = Highest number - Lowest number

So, the range of the sample means is the difference between the highest and the lowest sample means.

Range of the sample means =

(Sample mean with the highest value) - (Sample mean with the lowest value)

From the table, we can calculate the sample means. The sample mean is given as the sum of the variables divided by the number of variables.

Note that we are told that Charles used only the shaded columns to calculate three sample means. The shaded columns, grouped include

4, 3, 3. Mean = 3.33

8, 5, 7. Mean = 6.67

6, 4, 3. Mean = 4.33

5, 3, 6. Mean = 4.67

Sample mean with the highest value = 6.67

Sample mean with the lowest value = 3.33

Range of the sample means = 6.67 - 3.33 = 3.34

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