Please explain how to do this, I have no clue!!!! Literally will give 50 points! Maybe even brainliest, just explain how to do it!!!

Solve the following equation. x/6 + 4 = 20 Then place the correct number in the box provided.

The Function is increasing (-∞, 0), decreasing (2, ∞), and constant [0, 2].

The intervals on which the function is increasing, decreasing, or constant, we need to analyze the behavior of the function in each interval.

1. Interval t < 0:

In this interval, the function is given by f(t) = t + 2. Since the coefficient of t is positive (1), the function is increasing. Therefore, the interval t < 0 is an interval of increasing values.

2. Interval 0 ≤ t ≤ 2:

In this interval, the function is constant and given by f(t) = 2. The value of the function remains constant at 2 for all values of t in this interval.

3. Interval t > 2:

In this interval, the function is given by f(t) = -t + 4. Since the coefficient of t is negative (-1), the function is decreasing. Therefore, the interval t > 2 is an interval of decreasing values.

To summarize:

Increasing interval: t < 0

Decreasing interval: t > 2

Constant interval: 0 ≤ t ≤ 2

Using interval notation, we can express the intervals as follows:

Increasing interval: (-∞, 0)

Decreasing interval: (2, ∞)

Constant interval: [0, 2]

In interval notation, (a, b) denotes an open interval, which means it includes all values between a and b, but excludes the endpoints. [c, d] denotes a closed interval, which includes both endpoints c and d.

Therefore, the function is increasing on the interval (-∞, 0), decreasing on the interval (2, ∞), and constant on the interval [0, 2].

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Steve is correct. Steve can find the difference in temperature between 7 AM and 12 PM on Wednesday by adding the distances from 0.

By using a number line, Steve can find the difference in temperature between 7 AM and 12 PM on Wednesday by adding the distances from 0. One temperature is negative and the other is positive, but by adding their distances, he can find the difference. Kelly's method of subtracting -5.1 from the temperature at 12 PM on Wednesday is not necessarily incorrect, but it does not give the exact difference in temperature between the two times. Therefore, using Steve's method, the change in temperature would be the sum of the distance from 0 to the temperature at 7 AM (which is 2.5) and the distance from 0 to the temperature at 12 PM (which is also 2.5), resulting in a difference of 5 degrees.

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Answer:

The answer is 140 cubic in

Step-by-step explanation:

The formula for the volume of a prism is V=Bh, where B is the base area and h is the height. The base of the prism is a rectangle. The length of the rectangle is 9 cm and the width is 7 cm. The area A of a rectangle with length l and width w is A=lw. Hope this helped! :) (ps. I am sorry if it does not help.)

Answer:

140 cubic inches

Step-by-step explanation:

8x5x3.5

8x5 = 40

40x 3.5= 140

The probability that the test will rejects that the true mean number of hours of study time per night for the students is 2 when the true mean value is really 2.25 is 0.35

Given that a social scientist collects information about study time for a random sample of 40 students with the intention of testing the hypotheses H Subscript 0 Baseline: mu = 2 hours per night versus H Subscript alpha Baseline: Mu not-equals 202 hours per night where Mu = the true mean number of hours of study time per night for students. Rather than test these hypotheses, she computes the 90% confidence interval, (1.5, 1.8).

Based upon the confidence interval, She should reject the null hypothesis. Since 2 falls outside of the 90% confidence interval, there is convincing evidence that the true mean number of hours of study time per night for students differs from 2 hours per night.

.She should reject the null hypothesis. Since 2 falls outside of the 90% confidence interval, there is not convincing evidence that the true mean number of hours of study time per night for students differs from 2 hours per night. She should fail to reject the null hypothesis. Since 2 falls outside of the 90% confidence interval, there is convincing evidence that the true mean number of hours of study time per night for students differs from 2 hours per night.

So, therefore the probability that the test will rejects that the true mean number of hours of study time per night for the students is 2 when the true mean value is really 2.25 is 0.35.

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Answer:

81

Step-by-step explanation:

Range = maximum - minimum so here, we'd have:

52 = max - 29

Add 29 to both sides to solve.

The highest score if the range is 52 and the lowest score is 29 is 81.

Range is the difference between the highest and lowest values of a set of observations. Range is a measure of variation.

Range = highest value - lowest value

Highest score = range + lowest score

52 + 29 = 81

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Due to stress and trauma, Native Americans frequently have high rates of depression and anxiety.

Due to past trauma and stressors, Native Americans have a disproportionate amount of despair and anxiety. Numerous circumstances, including poverty, prejudice, and a lack of access to high-quality healthcare, may contribute to these mental health problems. Native Americans have a long history of suffering from injustice and oppression, which has had a serious effect on their mental health. While racism and discrimination can cause emotions of isolation and despair, poverty and limited access to services can foster a sense of powerlessness and hopelessness. Additionally, the frequency of substance misuse, domestic violence, and other socioeconomic problems can raise Native American people' risk of depression and anxiety. To help lower the prevalence of depression and anxiety among Native Americans and increase general wellness, it is crucial to offer culturally appropriate mental health care to this community.

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A personal example of a measurement I use routinely is converting weight from U.S. customary units to metric units. Let's convert pounds to kilograms.

To convert pounds to kilograms, we use the conversion factor of 1 pound = 0.453592 kilograms.

For example, if I have a weight of 150 pounds, I can calculate the equivalent weight in kilograms as follows:

150 pounds * 0.453592 kilograms/pound = 68.0388 kilograms

Therefore, 150 pounds is approximately equal to 68.0388 kilograms.

In this conversion, we multiply the weight in pounds by the conversion factor to obtain the weight in kilograms. By using the appropriate conversion factor, we can accurately convert weights from U.S. customary units to metric units.

It's important to note that conversion factors may vary slightly depending on the rounding used and the exact value of the conversion factor.

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Answer:

Sine of the Angle = opposite / hypotenuse

Sine Angle = 22.8 / 24

Sine Angle = .95

Angle = arc sine (.95)

Angle =  71.805 degrees

Angle = 71.8 (rounded)

Step-by-step explanation:

Answer:

71.8

Step-by-step explanation:

Suppose that the manufacturer of a gas clothes dryer has found that, when the unit price is p dollars, the revenue R (in dollars) is R(P) = -9p2 + 18,000p. What unit

price should be established for the dryer to maximize revenue? What is the maximum revenue?

we have the quadratic equation

this is a vertical parabola, open downward

the vertex represents a maximum

Convert to factored form

Complete the square

factor -9

the vertex is the point (1,000, 9,000,000)

therefore

Problem N 2

we have the equation

using a graphing tool

the minimum is the point (8.58,308.95)

therefore

Part a

the average cost is minimized when approximately 9 lawnmowers ........

Part b

the minimum average cost is approximately $309 per mower

The statement which is not true about the circle M is ∆ABM is isosceles.

The correct answer choice is option 2.

Based on the circle M;

diameter AC,

chords AB and BC,

radius MB

Isosceles triangle: This is a type of triangle which has two equal sides and angles.

Equilateral triangle is a triangle which has three equal sides and angles.

Hence, ∆ABM is equilateral triangle.

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$6355 will be there in the fund

Investment=$5000

Interest rate =6%=0.06

Time = 4years

We need to find how much money will be there in fund

What is compound interest?

A=Pe^rt

A=5000*e^0.06*4

=5000*e^0.24

=5000*1.271

=$6355

Therefore $6355 will be there in the fund

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The surface area of the cylinder has a radius of 9.4cm and a height of 18.6 cm is 1098.56 square centimeters.

The surface area of this cylinder is defined as the product of the radius of the base and the height of the cylinder.

The surface area of this cylinder = (2π x r)h

We have given a radius of the base is 9.4 cm and the height of the cylinder is 18.6 cm.

The surface area of this cylinder = (2π x r)h

= (2π x 9.4)18.6

= (59.06)18.6

= 1098.56

Thus, The surface area of the cylinder has a radius of 9.4cm and a height of 18.6 cm is 1098.56 square centimeters.

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Answer:

b. 120°

Step-by-step explanation:

K is any point outside of the circle with center M.

KJ and KL are tangents to the circle at points J and L respectively drawn from point K.

MJ and ML are radii of the circle with center M.

Since, tangent is perpendicular to the radius of the circle.

\( \therefore m\angle MJK = m\angle MLK = 90\degree \\\)

Since, measure of central angle of a circle is equal to the measure of its corresponding minor arc.

\( \therefore m\angle JML = m\widehat {(JL)} \\

\therefore m\angle JML = 60\degree \\\)

Since, JKLM is a quadrilateral. Hence by angle sum postulate of interior angles of quadrilateral JKLM, we have:

\( m\angle JML + m\angle MJK + m\angle MLK \\+ m\angle JKL= 360\degree \\

\therefore 60\degree +90\degree +90\degree +m\angle JKL= 360\degree \\

\therefore 240\degree +m\angle JKL= 360\degree \\

\therefore m\angle JKL= 360\degree-240\degree \\

\huge \purple {\boxed {\therefore m\angle JKL= 120\degree}} \\\)

The measure of angle JKL is 120 degrees and the correct choice is B.

A circle is a shape consisting of all points in a plane that are given the same distance from a given point called the center.

We are given that K is any point outside of the circle with center M.

Since KJ and KL are tangents to the circle at points J and L respectively drawn from point K. also MJ and ML are radii of the circle with center M.

We know that measure of central angle of a circle is equal to the measure of its corresponding minor arc.

Given, JKLM is a quadrilateral.

The angle sum postulate of interior angles of quadrilateral JKLM, we have:

Angle JKL + 90 + 60 + 90 = 360

Angle JKL = 360 - 240

Angle JKL = 120

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Answer:

$40.95

Step-by-step explanation:

Simply multiply 12.6 by 3.25.

Hope that helps!

By observing the pace at which this compressed region moves through the medium, we may determine the sound speed.The speed of sound is roughly 343 meters per second or 767 miles per hour in dry air at 20 degrees Celsius.

Calculate speed of sound wave?

3*108 m/s, hence t = 0.217m / (3*108 m/s) = 0.000669 s.

The answer is o.000669 s, as determined in step 2, even though this time is entirely negligible.

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Step-by-step explanation:

44/13 ÷ -9

44/13 *1/-9

44/-117

The equivalent value of the expression A = 44/13 divided by (-9) = -0.3761

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

Substituting the values in the equation , we get

A = 44/13 divided by ( -9 (

First, we can simplify 44/13 to a decimal:

44/13 = 3.3846 (rounded to four decimal places)

Then we can divide 3.3846 by -9:

3.3846 / (-9) = -0.3761 (rounded to four decimal places)

Therefore, 44/13 divided by (-9) is approximately equal to -0.3761

Hence , the equation is A = -0.3761

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The solution to the geometric sequence in the question are;

First part;

r = 3

\(a_{8} = 8748 \)

Second part;

r = 4

\(a_{6} = 9216 \)

Practice:

r = 8

\(a_{7} = 0.3125 \)

Third part;

Please see the detailed reasons in following section

Fourth part;

\( {a}_{n} = 4 × {a}_{n-1}\)

\( {a}_{n} = 0.2 × {a}_{n-1}\)

First part;

The formula for geometric progression can be presented as follows;

\( a_{n} = a_{1} \times {r}^{n - 1} \)

\(a_{4} =108 = a_{1} \times {r}^{4 - 1} \)

Where;

\(a_{1} = 4 \: and \: a_{4} = 108\)

We have;

\(a_{4} =108 = 4 \times {r}^{4 - 1} = 4 \cdot {r}^{3} \)

Which gives;

\( {r}^{3} = \frac{108}{4} = 27\)

\(r = \sqrt[3]{27} = 3\)

r = 3

Therefore;

\(a_{8} = 4 \times {3}^{7} = 8748 \)

Second part;

Where;

\(a_{1} = 9 \: and \: a_{3} = 144\)

Therefore;

\( {r}^{2} = \frac{144}{9} = 16\)

\(r = \sqrt{16} = 4\)

r = 4

Which gives;

\(a_{6} = 9 \times {4}^{5} = 9216 \)

Practice;

\(a_{1} = 3 \: and \: a_{4} = 1536\)

Therefore;

\( {r}^{3} = \frac{1536}{3} = 512\)

\(r = \sqrt[3]{512} = 8\)

r = 8

\(a_{1} = 20 \: and \: a_{3} = 5\)

Therefore;

\( {r}^{2} = \frac{5}{20} = 0.25\)

\(r = \sqrt{0.25} = 0.5\)

Which gives;

\(a_{7} = 20 \times {0.5}^{6} = 0.3125 \)

Third part

Recursively means expression in terms of previous terms

The meaning of the equation is that each term of a geometric sequence is given by the product of the common ratio and the previous term

Fourth part;

The recursive formula for the sequence, {2, 8, 32, 128...} is found as follows;

r = 8/2 = 4

Therefore;

\( {a}_{n} = 4 × {a}_{n-1}\)

Part;

The sequence is {200, 40, 8, 1.6...}

The common ratio is; 40/200 = 0.2

The recursive formula is therefore;

\( {a}_{n} = 0.2 × {a}_{n-1}\)

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Answer:

The elevation of the airplane decreases by 9 km.

Step-by-step explanation:

We use the distance-rate-time formula: d = rt.

Here, the rate is r = 0.15 km/min and the time is t = 60 min. Simply plug these into the formula:

d = rt

d = 0.15 * 60 = 9 km

So, the change in elevation in the last 60 minutes is 9 km. However, note that the rate is negative (-0.15 km/min), which means that the elevation actually is decreasing.

Thus, the answer is: the elevation of the airplane decreases by 9 km.

~ an aesthetics lover

Answer:

The elevation of the airplane _decrease_ by __9____ km

Step-by-step explanation:

Take the rate and multiply by the time to get the distance traveled

-.15 km per minute * 60 minutes

- 9 km

The plane will go down 9 km in that 60 minutes

The numeric value of the function f(x) = 14/[3 + ae^(kx)] at x = 2 is given as follows:

f(2) = 0.172.

The function for this problem is defined as follows:

f(x) = 14/[3 + ae^(kx)]

When x = 0, y = 2, hence we can obtain the coefficient a as follows:

2 = 14/(3 + a)

6 + a = 14

a = 8.

Hence:

f(x) = 14/[3 + 8e^(kx)]

When x = 1, y = 1/2, hence the coefficient k is given as follows:

0.5 = 14/(3 + 8e^k)

1.5 + 4e^k = 14

4e^k = 12.5

e^k = 12.5/4

k = ln(12.5/4)

k = 1.14.

Hence:

f(x) = 14/[3 + 8e^(1.14x)]

Then the numeric value of the function at x = 2 is given as follows:

f(2) = 14/[3 + 8e^(1.14(2))]

f(2) = 0.172.

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Answer:

Yes 65x5 is 325

Step-by-step explanation:

Answer: yes you're are correct! :D

Step-by-step explanation:

Answer:

A. 5/6 B. 5/6 C. 1/4 D. 1/24

Step-by-step explanation:

A. 12+3= 15 = 5

— — —

18. 18. 6

B. 4+6=10= 5

— — —

12. 12. 6

C. 4-2=2 = 1

— — —

8. 8. 4

D. 9-8 = 1

— —

24. 24

Answer:

x = 50

Step-by-step explanation:

→ Make the equations equal to each other

2 ( x + 10 ) = 3x - 30

→ Expand brackets

2x + 20 = 3x - 30

→ Minus 3x from both sides

-x + 20 = -30

→ Minus 20 from both sides

-x = -50

Opposite angles are equal

\(\\ \sf\longmapsto 2(x+10)=3x-30\)

\(\\ \sf\longmapsto 2x+20=3x-30\)

\(\\ \sf\longmapsto 3x-2x=30+20\)

\(\\ \sf\longmapsto x=50\)

Answer:

The 95% confidence of interval to estimate the difference in the proportion of the residents in these regions who support the construction is (-0.0849, 0.0013).

Step-by-step explanation:

Before building the confidence interval, we need to understand the central limit theorem and subtraction of normal variables.

Central Limit Theorem

The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean \(\mu\) and standard deviation \(\sigma\), the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \(\mu\) and standard deviation \(s = \frac{\sigma}{\sqrt{n}}\).

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean \(\mu = p\) and standard deviation \(s = \sqrt{\frac{p(1-p)}{n}}\)

Subtraction between normal variables:

When two normal variables are subtracted, the mean is the difference of the means, while the standard deviation is the square root of the sum of the variances.

North:

274 out of 1000. So

\(p_N = \frac{274}{1000} = 0.274, s_N = \sqrt{\frac{0.274*0.726}{1000}} = 0.0141\)

South

240 out of 760. So

\(p_S = \frac{240}{760} = 0.3158, s_S = \sqrt{\frac{0.3158*0.6842}{760}} = 0.0169\)

Distribution of the difference:

\(p = p_N - p_S = 0.274 - 0.3158 = -0.0418\)

\(s = \sqrt{s_N^2+s_S^2} = \sqrt{0.0141^2+0.0169^2} = 0.022\)

Confidence interval:

The confidence interval is:

\(p \pm zs\)

In which

z is the z-score that has a p-value of \(1 - \frac{\alpha}{2}\).

95% confidence level

So \(\alpha = 0.05\), z is the value of Z that has a p-value of \(1 - \frac{0.05}{2} = 0.975\), so \(Z = 1.96\).

Lower bound:

\(p - zs = -0.0418 - 1.96*0.022 = -0.0849\)

Upper bound:

\(p + zs = -0.0418 + 1.96*0.022 = 0.0013\)

The 95% confidence of interval to estimate the difference in the proportion of the residents in these regions who support the construction is (-0.0849, 0.0013).

Given the proportion and number of residents in the North and South of

0.274, 1000, and approximately 0.316, 760, we have;

The given parameter presented in a tabular form are;

\(\begin{array}{|c|c|c|}Support \ Constructtion&North&South\\Yes&274&240\\No&726&520\\Total & 1000& 760\end{array}\right]\)

Which gives;

Proportion of the North resident that support, \(\mathbf{\hat p_N}\) = 274 ÷ 1000 = 0.274

The number of people sampled in the north, n₁ = 1,000

Proportion of the South resident that support, \(\mathbf{\hat p_S}\) = 240 ÷ 760 ≈ 0.316

The number of people sampled in the south, n₂ = 760

The confidence interval for the difference of two proportions are given

as follows;

\(\hat{p}_N-\hat{p}_S\pm \mathbf{ z^{*}\sqrt{\dfrac{\hat{p}_N \cdot \left (1-\hat{p}_N \right )}{n_{1}}+\dfrac{\hat{p}_S \cdot \left (1-\hat{p}_S \right )}{n_{2}}}}\)

Where;

The z-score at 95% confidence level is 1.96

Which gives;

\(C.I. = \left(0.274-0.316 \right)\pm 1.96 \times \sqrt{\dfrac{0.274 \times \left (1-0.274 \right )}{1000}+\dfrac{0.316 \times \left (1-0.316 \right )}{760}}\)

C.I. ≈ (-0.085, 0.00109)

The 95% confidence interval, C. I. of the difference in the proportion of

the residents in the regions who support the construction, \(\hat p_N\) -  \(\hat p_S\) is

therefore;

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The correct answer is option (e): None of these answers is correct.

The statement "the mode is the most frequently occurring data value" is true. However, none of the options provided accurately describes the relationship between the mode and the mean.

The mode and the mean are different measures of central tendency and can have different values. There is no general rule or guarantee that the mode will always be larger or smaller than the mean. The relationship between the mode and the mean depends on the specific dataset and its distribution. Therefore, none of the provided options correctly describes the relationship between the mode and the mean.

Answer:

45

Step-by-step explanation:

Answer:

z=( -2 , 5/3) can you speak English

Answer:

The rock will be be 5  meters from ground level at time = 3.713 seconds

Step-by-step explanation:

As we know-

\(s(t) = -4.9 * t^2 + v_0t + s_0\)

V0 = velocity

S0 = height above ground when thrown

Substituting the given values, we get -  

\(9 = -4.9* t^2 + 12 * t +32\\-4.9*t^2 +12*t + 23 = 0\)

As per the formula

\(t = \frac{-12+ \sqrt{12^2 -4*(-4.9)*23} }{(2*(-4.9)} \\t = 3.713\)

The rock will be be 5  meters from ground level at time = 3.713 seconds

Based on the information, the rational number that is greater would be the expression 389 high school sophomores, in a class of 910, paid payroll taxes in the last year (option D).

To identify the largest rational number of the different options that we have, we must divide each of the situations and classify them from the lowest to the highest. Once we have done this procedure we can find which is the highest.

According to the above, the highest value is represented by the option 389 high school sophomores, in a class of 910, paid payroll taxes in the last year, because once we do this division it gives us 0.42 and the rest of the options result in a smaller amount.

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You would need approximately 225 mL of the 70% alcohol mixture to obtain the desired 55% solution.

To find out how much of the 70% alcohol mixture you need to obtain a 55% solution, we can set up an equation based on the principle of mixing concentrations.

Let's assume you need "x" mL of the 70% alcohol mixture.

First, we'll determine the amount of alcohol in the 10% alcohol mixture:

Alcohol in 10% mixture = 10% of 75 mL

= (10/100) × 75 mL

= 7.5 mL

Next, we'll determine the total amount of alcohol in the desired 55% solution:

Alcohol in 55% solution = 55% of (75 mL + x mL)

We want the amount of alcohol in the 55% solution to be equal to the sum of the alcohol in the 10% mixture and the alcohol in the x mL of the 70% mixture.

Therefore, we can set up the equation:

Alcohol in 55% solution = Alcohol in 10% mixture + Alcohol in 70% mixture

55% of (75 mL + x mL) = 7.5 mL + 0.7x mL

Now, let's solve for "x" to find the amount of the 70% alcohol mixture needed:

0.55 × (75 mL + x mL) = 7.5 mL + 0.7x mL

41.25 mL + 0.55x mL = 7.5 mL + 0.7x mL

0.55x mL - 0.7x mL = 7.5 mL - 41.25 mL

-0.15x mL = -33.75 mL

x mL = (-33.75 mL) / (-0.15)

x mL ≈ 225 mL

Therefore, you would need approximately 225 mL of the 70% alcohol mixture to obtain the desired 55% solution.

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