Solve equation.
r/4 = -8

Answer:

Hi! The correct answer is C!

Step-by-step explanation:

~Take the root of both sides and solve~

The graph of the function g(x) = −|x + 3| − 2 is added as an attachment

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

g(x) = −|x + 3| − 2

The above expression is an absolute value function that hs the following properties

Next, we plot the graph

See attachment for the graph of the function

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In this particular case, the p-value is 3.2578x10⁻¹³, which is much smaller than the level of significance of 0.05.

A chi-square test of goodness of fit is a statistical test used to compare the observed data to a theoretical distribution.

In mathematical terms, the null hypothesis states that the observed data follows the theoretical distribution, and is represented by

H0= The observed data follows the theoretical distribution. The alternative hypothesis, which is the opposite of the null hypothesis, states that the observed data does not follow the theoretical distribution, and is represented by

HA= The observed data does not follow the theoretical distribution.

Based on the p-value of 3.2578x10⁻¹³ and the level of significance of 0.05, we can make the following statistical decision:

p-value < α (3.2578x10-13 < 0.05),

Therefore reject H0 and accept HA.

n other words, we can conclude that the observed data does not follow the theoretical distribution, and there is strong evidence to support this conclusion. The chi-square test of goodness of fit is a useful tool for making statistical decisions about the distribution of data.

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1/64 fraction is equal to 0.015625 in decimal form.

To change the fraction 1/64 to a decimal, we need to perform division.

1 divided by 64 can be written as:

0.015625

----------

64 | 1.000000

   0

  10

   0

The result of the division is 0.015625. This means that 1/64 is equal to 0.015625 in decimal form.

Note that in this case, we carried the division out to six decimal places, but the question specified that we should carry it out to three decimal places. In that case, we would round the answer to 0.016.

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Answer:

The answer would most likely be the second one because that one makes the most sense here.

Step-by-step explanation:

When a triangle is dilated, the size of the triangle changes.

The coordinate of G' after dilation is: (a) \(\mathbf{(-\frac 23,\frac 43)}\)

The vertices are given as:

\(\mathbf{G = (-2,4)}\)

\(\mathbf{H = (3,6)}\)

\(\mathbf{J = (3,-2)}\)

The scale factor (k) is given as:

\(\mathbf{k =\frac 13}\)

So, the image of G is calculated as:

\(\mathbf{G' = k \times G}\)

This gives:

\(\mathbf{G' = \frac 13 \times (-2,4)}\)

\(\mathbf{G' = (-\frac 23,\frac 43)}\)

Hence, the coordinate of G' after dilation is: (a) \(\mathbf{(-\frac 23,\frac 43)}\)

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Answer:

a) 14/56 = 1/4

b) The workout ratio of the online sales to shop sales is 1:3.

Step-by-step explanation:

Answer:

The maximum number of text messages you can send per month would be 41.

Step-by-step explanation:

1. First, you want to create an inequality from the word problem.  You know that $24.99 is a constant, so we won't put any variables next to it.  You also know that each text message is $0.12, so that would need a variable since it can change each month.  You also know that you can spend $30 maximum each month, so that goes on the other side of the inequality.  Your inequality will look like this:  0.12x+24.99≤30 (x is the number of text messages).

2. Second, you want to solve for x.  To do this, subtract 24.99 from each side.  After this, the equation is 0.12x≤5.01

3. Now, divide each side by 0.12.  Now your inequality is x≤41.75.  This represents how many text messages you can send per month without going over 30.

4. Finally, you have to realize that is impossible to send exactly 41.75 text messages.  So, you have to round down to 41 to get an even number of text messages, and that's your answer!

Hope this helps!  Feel free to ask any questions :)

Answer:

41 text messages

Step-by-step explanation:

Answer:

2000 pounds

Step-by-step explanation:

Let's start with the initial amount of gravel in the mound, which is g pounds.

After 300 pounds are added, the total amount of gravel in the mound becomes:

g + 300

Then, two orders of 600 pounds are sold and removed from the mound. So, the total amount of gravel in the mound after these two orders are sold becomes:

g + 300 - 2(600) = g + 300 - 1200 = g - 900

Finally, we know that at the end of the day, the mound has 1400 pounds of gravel. So, we can set up an equation:

g - 900 + 300 = 1400

Simplifying this equation, we get:

g - 600 = 1400

Adding 600 to both sides, we get:

g = 2000

Therefore, the initial amount of gravel in the mound was 2000 pounds.

Answer:

2000 pounds

Step-by-step explanation:

sorry it took a while;)

Answer:

AB = 2

Step-by-step explanation:

Using the secant- secant theorem, that is

PA × PB = PD × PC , substitute values

10(10 + AB) = 8(8 + 7)

100 + 10AB = 8 × 15 = 120 ( subtract 100 from both sides )

10AB = 20 ( divide both sides by 10 )

AB = 2

Answer:

64:27

Step-by-step explanation:

If the ratio between the old and new radius is described with the ratio: 4:3, then if the first radius was 3, then the new radius is 4.

Also if you multiply 3 by (4/3) it also equals 4

The volume of a sphere is described as:  \(\frac{4}{3} \pi r^{3}\)

So let's plug in 3 and 4 and see their ratio.

\(\frac{\frac{4}{3}\pi 4^{3} }{ \frac{4}{3}\pi 3^{3} }} = \frac{4^{3} }{3^{3} } = \frac{64}{27}\)

The answer is 64/27 or (4/3)^3

Answer:

by a factor of 64/27   or   64:27

Step-by-step explanation:

Volume of a sphere = 4/3  pi  r^3    

    now increase the radius  by 4/3      ( this is  4:3)

               new volume = 4/3 pi  (4/3 r)^3  

                                     = 64/27  *  4/3 pi r^3

so the original volume is increased by  64/27

Given, the coin is tossed three times.

Sample space: {HHH, HTH, THH, TTH, HHT, HTT, THT, TTT}

Number of positive outcomes = 8

Probability of

(1) A: Getting at least two heads

P(A) = P(Getting 3 heads) + P(Getting 2 heads)

        = \(\frac{3}{8} +\frac{1}{8}\)                           Since, P(event) = \(\frac{No. of favourable outcomes}{Total no. of possible outcomes}\)

P(A)  = \(\frac{1}{2}\)            

(2) B: Getting exactly two heads

P(B) = \(\frac{3}{8}\)

(3) C: Getting at most one head

P(C) = P(Getting zero head) + P(Getting 1 head)

       = \(\frac{1}{8} + \frac{3}{8}\)

       = \(\frac{4}{8}\)

P(C) = \(\frac{1}{2}\)

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Answer:

the expression is (36+5)³

The length of AC in triangle BAC is equal 10.7 units

In trigonometry, the cosine rule says that the square of the length of any side of a given triangle is equal to the sum of the squares of the length of the other sides minus twice the product of the other two sides multiplied by the cosine of angle included between them.

The formula is given as

AC² = AB² + BC² - 2(AB)(BC) cos AC

AC² = 6² + 7² - 2(6)(7)cos110

AC = 10.7

Using cosine rule, the length of AC is 10.7 unit.

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Answer:

You divide 360 by 5 which is 72 & Then muiltiply that by 2.
Your answer would be 144 tho.

The quota sampling produces the same advantages for convenience sampling that stratified random sampling produces for probability sampling.

Sampling:

Sampling is defined as the process in statistical analysis where researchers take a predetermined number of observations from a larger population.

Given,

Here we need to find the type of sampling that produces the same advantages for convenience sampling quota sampling.

Before, move on to the result, first we have to know the details about quota sampling and the probability sampling.

Probability sampling defined as the selection of a sample from a determined number of population, when this selection is based on the principle of randomization, that is, random selection or chance.

In contrast to probability sampling, Quota sampling means a non-probability sampling method in which researchers create a sample involving individuals that represent a population.

Based on these definition we have identified that the method that is best suitable answer for this one is stratified random sampling.

Because the stratified random sampling means, is a probability sampling technique in which the total population is divided into homogenous groups to complete the sampling process.

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To find the first five terms of the sequence defined by the recurrence relation n, for n1, 2, 3,..., where a1, we can use the given formula to generate the terms one by one.

The first five terms of the sequence defined by the recurrence relation n, for n1, 2, 3,..., where a1, are:

a1 = 1, a2 = 2, a3 = 3, a4 = 4, a5 = 5.

So, the first term of the sequence, a1, is simply given as a1 = 1, as per the recurrence relation.

To find the second term, we use the formula n, which means plugging in

n = 2: a2 = 2.

To find the third term, we use the formula again, but this time with

n = 3: a3 = 3.

We continue in this way, using the formula with n = 4 and n = 5 to find the fourth and fifth terms of the sequence, respectively:

a4 = 4

a5 = 5

Therefore, the first five terms of the sequence defined by the recurrence relation n, for n1, 2, 3,..., where a1, are:

a1 = 1, a2 = 2, a3 = 3, a4 = 4, a5 = 5.

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The Perimeter of Harmony's new mural is 13.4 feet.

To determine the perimeter of Harmony's new mural, we need to use the formula for the perimeter of a rectangle, which is:P = 2l + 2w

where P represents the perimeter, l represents the length, and w represents the width of the rectangle. The units of measurement are in feet.

Given that the rectangular mural measures 1.3 feet by 4.8 feet, we can plug these values into the formula to find the perimeter of the original mural:P = 2(1.3) + 2(4.8)P = 2.6 + 9.6P = 12.2

Therefore, the perimeter of the original mural is 12.2 feet.

Now, Harmony creates a new mural that is 0.6 feet longer than the original mural. This means that the length of the new mural is 1.3 + 0.6 = 1.9 feet.

To find the perimeter of the new mural, we need to plug this new length into the same formula:P = 2l + 2wP = 2(1.9) + 2(4.8)P = 3.8 + 9.6P = 13.4

Therefore, the perimeter of Harmony's new mural is 13.4 feet.

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Answer:

Terms=7a,3 Variables=a Coi=7 Constants=3

Step-by-step explanation:

Terms are the things you use in the equation.

Terms=7a, 3

Variables are the letters next to numbers

Variables= a

Coificents are numbers next to the variable.

Coi=7

Constants are numbers by themselves

Constants=3

First, we find the slope

Where,

Then, we use the point-slope formula to find the equation

Hence, the function is

Answer:

its one-half

Step-by-step explanation:

tested

Answer:

jhtbieugcn5guwnhhubymymuwihyehnmedmilgb,dhlhut,dybidbthi,yibtjd,njhsknhb

Step-by-step explanation:

Answer:

X=-3/2

Step-by-step explanation:

1/4+1/2+X=-3/4

X=-3/4-1/4-1/2

X=-3/2

Answer:

196 miles

Step-by-step explanation:

distance (D) is calculated as

D = S × T ( S is average speed and T is time in hours )

here T = 3 and a half hours = 3.5 hours and S = 56 , then

D = 56 × 3.5 = 196 miles

The probability that the diameter of a selected ball bearing is between 143 and 144 millimeters, given a normal distribution with a mean diameter of 138 millimeters and a variance of 9. Therefore, the probability that the diameter of a selected ball bearing is between 143 and 144 millimeters is approximately 0.0247

To calculate the probability, we first need to standardize the values of 143 and 144 millimeters using the z-score formula:

z = (x - μ) / σ

where x is the value, μ is the mean, and σ is the standard deviation.

In this case, the mean (μ) is 138 millimeters and the variance (σ^2) is 9, so the standard deviation (σ) is the square root of the variance, which is √9 = 3.

For 143 millimeters:

z1 = (143 - 138) / 3 = 5 / 3 ≈ 1.6667

For 144 millimeters:

z2 = (144 - 138) / 3 = 6 / 3 = 2

Next, we need to use the standard normal distribution table or a calculator to find the probability associated with these z-scores. The probability between these two z-scores represents the probability of the diameter being between 143 and 144 millimeters.

Using the table or a calculator, we find that the cumulative probability corresponding to z1 = 1.6667 is approximately 0.9525, and the cumulative probability corresponding to z2 = 2 is approximately 0.9772.

To find the probability between 143 and 144 millimeters, we subtract the cumulative probability corresponding to z1 from the cumulative probability corresponding to z2:

P(143 < x < 144) = P(z1 < Z < z2) = P(z2) - P(z1) = 0.9772 - 0.9525 ≈ 0.0247

Therefore, the probability that the diameter of a selected ball bearing is between 143 and 144 millimeters is approximately 0.0247 (or 2.47% rounded to four decimal places).

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Answer:

just answer everything joe is answering

Step-by-step explanation:

Answer: $6.90

Step-by-step explanation:

20%  --->  .20

34.50 x .20 = 6.9

The solution to the initial value problem is y(x) = 3x sin x + 2x cos x.

To solve the initial value problem, we can use an integrating factor method. First, we rewrite the given equation as dy/dx + y tan x = 2x sin x. By comparing this form with the standard form of a linear first-order differential equation, we can determine the integrating factor. The integrating factor is given by exp(integral(tan x dx)), which simplifies to cos x.

Multiplying the entire equation by cos x, we get cos x dy/dx + y sin x = 2x sin x cos x. The left-hand side of the equation is now the derivative of (y cos x) with respect to x. Integrating both sides, we have ∫(y cos x) dx = ∫(2x sin x cos x) dx.

Integrating the right-hand side and simplifying, we get y(x) cos x = x sin^2(x) + C, where C is the constant of integration. To find the value of C, we use the initial condition y(0) = 5. Plugging in x = 0 and y = 5 into the equation, we get 5 cos 0 = 0 + C. Simplifying, we find C = 5.

Substituting C back into the equation, we have y(x) cos x = x sin^2(x) + 5. Dividing both sides by cos x, we obtain the final solution y(x) = (x sin^2(x) + 5) / cos x. Simplifying further, we get y(x) = 3x sin x + 2x cos x, which is the solution to the initial value problem.

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The expression for the height of the tree after t years will be

H = 2.6t + 6.7.

A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.

Given, Height(H) of a tree that begins at 6.7 feet and increases by 2.6 feet per year.

Let t represent the number of years.

∴ H = 2.6t + 6.7 is the expression that represents the height of the tree after t years.

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c. It is not linear because it has a constant rate of change.

Answer:

D

Step-by-step explanation:

this is showing a quadratic