The area of a rectangle i 42 quare millimeter. The length i 7 millimeter. What i the perimeter of the rectangle?
millimeter

Answer:

The shorter side of pentagon is 6cm long

Step-by-step explanation:

Given two equations are:

\(y = x + 2\\2x + 3y = 36\)

We can use any one of the methods to solve the simultaneous linear equations

As it is also given that x is the length of shorter side, we have to find the value of x

Using the substitution method

We will put the value of y i.e. x+2 in the 2nd equation

So,

\(2x+3(x+2) = 36\)

Simplification gives us:

\(2x+3x+6 = 36\\5x+6 = 36\\5x = 36-6\\5x = 30\\x = \frac{30}{5}\\x =6\)

Hence,

The shorter side of pentagon is 6cm long

From the given graph solution of lines is (32, 5).

A system of linear equations consists of two or more equations made up of two or more variables such that all equations in the system are considered simultaneously. The solution to a system of linear equations in two variables is any ordered pair that satisfies each equation independently.

To solve a system of linear equations graphically we graph both equations in the same coordinate system. The solution to the system will be in the point where the two lines intersect.

In the give graph two lines intersect at (32, 6).

Here, 32 represents the number of kites and 6 represents the total cost.

Therefore, from the given graph solution of lines is (32, 5).

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Answer:

22969.39 yd^2

Step-by-step explanation:

Alright to start, lets do the easier part of it, the sides of it. Since it is an octagonal prism, there are 8 rectangular sides to it. Each of these sides can be found with L*W, so use the given length of 15 and width of 6 to do this.

15 * 6 = 90

Since there's 8 of these:

90 * 8 = 720

Now, with the tricky part with the bases of the octagonal prism. Let's find the perimeter of the octagon, so use the top width of each of the rectangles.

6 * 8 = 48 = Perimeter

Now, here's the magic equation to avoid making this more complicated:

2(1+√2)p^2

Then plug in p

2(1+√2)48^2

(2+2√2) * 2304

(2+2.8284)*2304

4.8284*2304

11124.69...

But there's two bases so: 22249.39

Lastly, add this to the 720 from the rectangular prisms.

22249.39+720 = 22969.39

Hope that helps.

y=3x+6.

y=3x-5

I did it with a parallel line

The domain of the relation in the graph is:

{-2, -1, 0, 2, 5}

A relation maps elements from one set (the domain) into elements from another set (the range).

Such that the domain is represented in the horizontal axis.

In the graph, we can see the points:

{(-2, -3), (-1, -1), (0, 3), (2, 1), (5, 2)}

The domain is the set of the first values of these points, then the domain is:

{-2, -1, 0, 2, 5}

The correct option is the first one.

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Answer:

160

Step-by-step explanation:

Divide 24 by 15 percent (.15)

24/.15

=160

Answer:

160

Step-by-step explanation:

from the question, we know that 24 balloons are 15% of total.

make equation:

\(\frac{15}{100} =\frac{24}{x}\)

calculate:

100*24/15=160 balloons

Answer:

150

Step-by-step explanation:

Answer:

150

Step-by-step explanation:

PEMDAS = Parenthesis, exponents, multiplication, division, addition, subtraction.

3 · [(22 + 4 ÷ 2 + 2) + 24]

3 · [(22 + 2 + 2) + 24]

3 · [26 + 24]

3 · [50]

150

There are 18.384 pounds in 16.6 in³ of gold weighs.

To determine the weight of 16.6 in³ of gold, we can use the given density of gold and conversion factors for inches, centimeters, grams, and pounds.

Density of gold = 19.3 g/cm³

1 inch = 2.54 cm

454 g = 1 lb

Convert the volume from cubic inches to cubic centimeters:

16.6 in³ × (2.54 cm/in)³ = 432.08888 cm³ (rounded to five decimal places)

Calculate the mass of gold using the density and volume:

Mass = Density × Volume

Mass = 19.3 g/cm³ × 432.08888 cm³ = 8352.992 g (rounded to three decimal places)

Convert the mass from grams to pounds:

Mass in pounds = 8352.992 g × (1 lb/454 g) ≈ 18.384 lb (rounded to three decimal places)

Therefore, 16.6 in³ of gold weighs approximately 18.384 pounds.

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The height of the rectangular prism is (x³ - 3x² + 5x - 3) / (x² - 2).

To find the height of the rectangular prism, we need to divide the volume of the prism by the area of its base.

Given:

Volume of the prism = x³ - 3x² + 5x - 3

Area of the base = x² - 2

To find the height, we divide the volume by the area:

Height = Volume / Area

Height = (x³ - 3x² + 5x - 3) / (x² - 2)

Therefore, the height of the rectangular prism is (x³ - 3x² + 5x - 3) / (x² - 2).

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Answer:

Look up how  to find volume and you'll get the answer right away

Step-by-step explanation:

Null hypothesis: The bag filling machine works correctly at the 421 gram setting.

Alternative hypothesis: The bag filling machine underfills the bags at the 421 gram setting.

In hypothesis testing, the null hypothesis (H₀) represents the status quo or the belief that there is no significant difference or effect, while the alternative hypothesis (H₁) represents the claim or belief that there is a significant difference or effect.

In this scenario, the null hypothesis states that the bag filling machine works correctly at the 421 gram setting. This means that the mean weight of the bags filled by the machine is equal to 421 grams. The alternative hypothesis, on the other hand, suggests that the machine underfills the bags, indicating that the mean weight of the bags is less than 421 grams.

To determine which hypothesis is supported by the data, a hypothesis test will be conducted using the sample mean and the given level of significance. The sample mean of the 21 bag sample is 417 grams, which is lower than the hypothesized mean of 421 grams. The standard deviation of the sample is 13 grams.

The level of significance, denoted as α, is the probability of rejecting the null hypothesis when it is true. In this case, a significance level of 0.1 will be used, which means that there is a 10% chance of rejecting the null hypothesis when it is actually true.

Based on this information, the null and alternative hypotheses can be stated as follows:

Null hypothesis: The bag filling machine works correctly at the 421 gram setting (μ = 421).

Alternative hypothesis: The bag filling machine underfills the bags at the 421 gram setting (μ < 421).

The hypothesis test will involve calculating a test statistic and comparing it to a critical value or using p-values to determine the statistical significance of the results.

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Answer:

$1.53 per pound

Step-by-step explanation:

if she bought 4 pounds for 6.12 dollars then you can divide 6.12 by 4 to get the answer for one pound of potatoes and 6.12/4 = 1.53

Hope this helps! :)

Answer:

11.35 g/mL

Step-by-step explanation:

D = m/v

D = 567.5 g ÷ 50.0 mL (I assume its measured in mL)

D = 11.35 g/mL

Answer:

11.35

Step-by-step explanation:

Given:

Required:

To find the value of nr.

Explanation:

The Snell's law is

Although it is true that only the x-axis is affected, that is, on the horizontal, when multiplying by a number less than 1, there would not be a stretch but a narrowing.

That is, the horizontal part would be smaller, which contradicts what Richard says.

Answer: 0.50

Step-by-step explanation:

Answer:

x= 10, x=1

Step-by-step explanation:

(x-1)(x-10)=0

then solve for x

Answer:

x=6

Step-by-step explanation:

we know that

slope formula is,

m=(y2-y1) / (x2-x1)

where m=-3

x1=x,y1=-4 and x2=2,y2=8,

-3=(8-(-4))/(2-x)

Now solving the expression

we get,

-6+3x=12

3x=18

x=6

Answer:

\(1.2 * 10 ^{-8}\)

Step-by-step explanation:

=> 0.000000012

Moving the decimal point after 1st non-zero digit:

=> \(1.2 * 10 ^{-8}\)

Answer:

Scientific Notation: 1.2x10^-8, or 1.2e-8

Step-by-step explanation:

The upper bound of the 95% confidence interval for the average age in the U.S. is 48.29 years.

To determine the upper bound of the 95% confidence interval for the average age in the U.S., we can use the sample data from the survey. The sample size is 1072 people, randomly selected from the U.S. population, with a minimum age of 12. By calculating the average age of the respondents, we can estimate the average age of the entire U.S. population.

Using the given information that the average age of the respondents is 43.56 years, and assuming that the sample is representative of the population, we can calculate the standard error. The standard error measures the variability of the sample mean and indicates how much the sample mean might deviate from the population mean.

Using statistical methods, we can calculate the standard error and construct a confidence interval around the sample mean. The upper bound of the 95% confidence interval represents the highest plausible value for the population average age based on the sample data.

Therefore, based on the provided information and calculations, the upper bound of the 95% confidence interval for the average age in the U.S. is 48.29 years.

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The value of abc, rounded to the nearest tenth, is approximately 2.4.

To solve for the variable "abc" with given values of b = 63, a = 29, and c = 38, we can use the formula abc = (a + b) / c.

Substituting the given values into the formula, we get:

abc = (29 + 63) / 38

Simplifying the numerator, we have:

abc = 92 / 3

Now, let's divide 92 by 38 to find the value of abc:

abc ≈ 2.42105263158

Rounding to the nearest tenth, we get:

abc ≈ 2.4

Therefore, the value of abc, rounded to the nearest tenth, is approximately 2.4.

It's worth noting that the calculation assumes that "abc" is a single variable, as stated in the question. However, if "abc" is meant to represent the product of three variables (a, b, and c), the calculation would be different. In that case, the formula would be abc = a * b * c, and the solution would be abc = 29 * 63 * 38 = 678,954. However, without further context, it's difficult to determine the intended interpretation of "abc" in this case.

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Answer:

16

Step-by-step explanation:

((8/4)+ 6) x 2
(2 + 6) x 2      Divided 8 by 4
8 x 2         Added 2 and 6
16          Multiply

The volume of the sawdust pile is 3754.667 cubic feet

A cone is a three-dimensional shape that has a circular base with tapers from the flat base into the vertex.

The formula for searching the volume of the cone can be described below :

V = \(\frac{1}{3}\) π \(r^{2}\) h

which

V = volume of the cone

r = radius of cone circular base

h = height of cone ( tall of the cone )

From the question, we have following information :\

1. Base diameter = 32 feet

  Base radius = Base diameter / 2 = 32 feet / 2 = 16 feet

2. Tall / Height of the cone = 14 feet

Since the known parameter is enough to be put into the formula, we can simply subtitute the formula with known parameter

V = \(\frac{1}{3}\) π \(r^{2}\) h

  = \(\frac{1}{3}\) x π x \(16^{2}\) x 14

  = 3754.667 cubic feet

Hence the volume of the cone is 3754.667 cubic feet

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Answer:

(1, 4)

Step-by-step explanation:

For people who are wanting to answer this question, just rotate this image three times to get the 90 degree counterclockwise image of the triangle :   )

You had a total of 800.0 after receiving all the contributions.

To determine how much you have, simply add the amounts given by your mom, dad, aunt and uncle, and the additional 30.0.

Start with your initial amount:

370.0

Add the amount given by your mom:

150.0

Add the amount given by your dad:

150.0

Add the amount given by your aunt and uncle:

100.0

Add the additional 30.0

Now, let's calculate:

370.0 + 150.0 + 150.0 + 100.0 + 30.0 = 800.0

You had a total of 800.0 after receiving all the contributions.

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Answer:

its 5 or c

Step-by-step explanation:

ur weecome

Answer:

What is the result of 3 divided by three-fifths?

A number line going from 0 to 3.

One-ninth

One-fifth

5

9

Step-by-step explanation:

the awnser is 5

The specific range depends on the material properties and the energy levels involved.

The minimum and maximum frequencies for the acoustic and optic modes depend on the specific system or material under consideration. However, I can provide some general information.

Acoustic Mode:

The acoustic mode refers to the propagation of sound waves or vibrations in a material. In a solid, the acoustic mode can have different types, such as longitudinal and transverse modes.

The minimum frequency for the acoustic mode is typically determined by the size and physical properties of the material. In general, it can be close to zero for macroscopic objects or materials with low elasticity.

The maximum frequency for the acoustic mode depends on factors such as the speed of sound in the material and the characteristic dimensions of the system. It can range from a few kilohertz to several gigahertz.

Optic Mode:

The optic mode is related to the interaction of light with a material. It typically refers to the vibrations of charged particles (such as electrons) in a solid or the oscillations of electric or magnetic fields associated with photons.

The minimum frequency for the optic mode is typically determined by the energy gap between electronic states in the material. For example, in a semiconductor, the minimum frequency is usually in the infrared range.

The maximum frequency for the optic mode is not strictly defined, as it can extend into the terahertz, infrared, visible, ultraviolet, X-ray, and even gamma-ray regions. The specific range depends on the material properties and the energy levels involved.

It's important to note that these frequency ranges are general guidelines and can vary depending on the specific system or material being studied.

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Answer:

6a + (6 x 3) = 60

or

6a + 18 = 60

Step-by-step explanation:

You have 6 students who are assigned an unknown amount of problems. We can write it as 6x. Then each is given 3 more problems, so now we have 6x + (6 x 3). We also know that in all they have 60 problems.

Therefore, the equation is:

6x + 18 = 60

Then just solve

6x + 18 = 60

     - 18   -18

6x = 42

x = 7

Answer:

What is it?

Step-by-step explanation:

The 95% two-sided confidence interval for the mean is (-0.1,0.2). one of your friends claims that the mean could be 0. is your friend's claim reasonable.

It is TRUE statement.

Now, According to the question:

Let's know:

What is meant by 95% confidence interval?

Strictly speaking a 95% confidence interval means that if we were to take 100 different samples and compute a 95% confidence interval for each sample, then approximately 95 of the 100 confidence intervals will contain the true mean value (μ).

                                                      OR

A confidence interval, in statistics, refers to the probability that a population parameter will fall between a set of values for a certain proportion of times. Analysts often use confidence intervals than contain either 95% or 99% of expected observations.

Hence, The 95% two-sided confidence interval for the mean is (-0.1,0.2). one of your friends claims that the mean could be 0. is your friend's claim reasonable.

It is TRUE statement.

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