Write the equation using y=mx+b

Answer:

Step-by-step explanation:

\(V=\pi R^2\cdot H\\\\V=13\,816\ m^3\\R=20\,m\\H=??\\\\13\,816=\pi\cdot20^2\cdot H\\\\13\,816=400\pi H\\\\13\,816\approx1256.637 H\\\\H\approx10.994424\,m\)

The inference is that the person will tell the friend that he did manifest coding and he should have recorded the base.

The options are:

He did manifest coding.

He did latent coding.

He should have recorded the base.

He did manifest coding and he should have recorded the base.

It should be noted that an inference simply means the conclusion that can be deduced based on the information given.

In this case, the friend was interested in determining whether the news media noticed campus events and decided to do a content analysis of the local paper.

Therefore, the the person will tell the friend that he did manifest coding and he should have recorded the base.

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You told your friend: d. he did manifest coding and he should have recorded the base.

The missing options are:

a. he did manifest coding.      b. he did latent coding.

c. he should have recorded the base.

d. he did manifest coding and he should have recorded the base.

e. he did latent coding and he should have recorded the base.

From the question, we understand that:

As a general rule, manifest coding include making use of the contents at the surface gotten from available data and questionnaires.

Because the stories that mentioned the university name can be gotten from publications, it means that your friend used manifest coding

Hence, the true statement is (d) he did manifest coding and he should have recorded the base.

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Sampling with replacement is a type of sampling technique in which the same unit can be selected multiple times from the sample population.

This type of sampling is used when the size of the sample population is very large and it is not possible to select a unique unit from the population. The formula for sampling with replacement is nCr, where n is the population size and r is the sample size. For example, if the population size is 10 and the sample size is 3, then the total number of combinations would be 10C3 = 120. This means that 120 possible samples can be selected from the population, with each unit having an equal probability of being selected. Sampling with replacement is often used in statistical analysis to generate a representative sample of the population.

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Answer:

x = 6

Step-by-step explanation:

The Triangle Sum Theorem says that the sum of the interior angles in a triangle is always 180°.

Thus, we can find x by making the sum of all the angles in the triangle 180.

(Note before we start the problem that the angle in the the bottom left corner is a right angle and thus its measure is 90°)

90 + 4x + 3 + 63 = 180

(90 + 3 + 63) + 4x = 180

(156 + 4x = 180) - 156

(4x = 24) / 4

x = 6

Thus, x = 6

Optional:  Check the validity of the answer:

We can check that our answer is correct by plugging in 6 for x in 4x + 3 and seeing if we get 180 when we add up all the angles in the triangle:

4(6) + 3

24 + 3

27

Thus, the measure of the angle at the top of the triangle is 27.  Now let's check that the sum of the three angles equals 180:

90 + 27 + 63 = 180

180 = 180

Thus, our answer is correct.

Answer:

159.64

Step-by-step explanation:

30.7% / 100 = 0.307 then you would do
0.307 x 520 = 159.64

Replace the x with n:

f(n) = 2n+1

Feel free to mark it as brainliest :D

Answer:

Step-by-step explanation:

given f(x) = 2x + 1

f(n) = 2n + 1

by substitution: n replaces x in the eqn

Answer:

Even though negative numbers get smaller as they get further from 0, their absolute value gets bigger, the sum of two negative numbers is a negative number, the product of two negative numbers is a positive number, etc.

Step-by-step explanation:

Answer:

Step-by-step explanation:

First, we need to evaluate the expression inside the parenthesis: 4(12) = 4 * 12 = 48.

Next, we can simplify the expression: 42 - 6 * 48 = 42 - 288 = -246.

Finally, we raise the result to the third power: (-246)^3 = (-246) * (-246) * (-246) = -158,048.

So, the result is -158,048.

The explicit formula for the sequence which is given as An = (1/88) * (-86)ⁿ⁻¹. Therefore, the correct option is (B) An = 1/8(2)n – 1.

Given that, an = 2an – 1, with a1 = 1/88.

Let's try to find the explicit formula for the sequence.

To find the explicit formula for the given recursive formula, we need to follow these steps:

Step 1: Finding the first few terms of the sequence.

Step 2: Finding the common ratio.

Step 3: Using the formula for the nth term of a geometric sequence.

Let's solve the problem by applying the above steps one by one.

Step 1: Finding the first few terms of the sequence.

Since a1 = 1/88and an = 2an – 1 , with a1 = 1/88.

We can write,

a2 = 2a1 – 1 = 2 × 1/88 – 1 = – 86/88

a3 = 2a2 – 1 = 2 × (– 86/88) – 1 = – 173/88

a4 = 2a3 – 1 = 2 × (– 173/88) – 1 = – 347/88

a5 = 2a4 – 1 = 2 × (– 347/88) – 1 = – 693/88

Thus, the first few terms are {1/88, – 86/88, – 173/88, – 347/88, – 693/88, …}.

Step 2: Finding the common ratio.

To find the common ratio, we will take the ratio of the second term to the first term, which is given as:

Common ratio = a2/a1= (-86/88) / (1/88) = -86

Therefore, the common ratio is -86.

Step 3: Using the formula for the nth term of a geometric sequence.

The formula for nth term of a geometric sequence is given as:

an = a1 * rⁿ⁻¹

Where a1 is the first term and r is the common ratio.

We have, a1 = 1/88, r = -86 and n is the position of the term which we need to find (i.e., n can be 1, 2, 3, …).

Therefore, the explicit formula for the sequence is given as follows:

an = a1 * rⁿ⁻¹= (1/88) * (-86)ⁿ⁻¹

Hence, we have found the explicit formula for the sequence which is given as An = (1/88) * (-86)ⁿ⁻¹.Therefore, the correct option is (B) An = 1/8(2)n – 1.

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Answer:

∠A=123°.

Step-by-step explanation:

From the given figure it is clear the CD and CE are two tangent lines on circle with center A.

Radius is perpendicular to the tangent at the point of tangency.

\(\angle ADC=90^{\circ}\)

\(\angle AEC=90^{\circ}\)

Smaller arc DE = (5x-2)°

It means central angle DAE is (5x-2)°.

\(\angle DAE=(5x-2)^{\circ}\)

Now, ADCE is a quadrilateral and sum of all angles of a quadrilateral is 360 degrees.

\(\angle ADC+\angle DCE+\angle AEC+\angle DAE=360^{\circ}\)

\(90^{\circ}+(2x+7)^{\circ}+90^{\circ}+(5x-2)^{\circ}=360^{\circ}\)

\((7x+5)^{\circ}+180^{\circ}=360^{\circ}\)

\((7x+5)^{\circ}=360^{\circ}-180^{\circ}\)

\((7x+5)^{\circ}=180^{\circ}\)

\(7x+5=180\)

\(7x=175\)

\(x=25\)

The value of x is 25.

\(\angle A=5x-2=5(25)-2=125-2=123^{\circ}\)

Therefore, the measure of ∠A is 123°.

The value of the exponent (2/5)^3 is \(\frac{8}{125}\)

In the above question, it is given that

(2/5)^3

The number of times a number has been multiplied by itself is referred to as an exponent. For instance, the expression 2 to the third (written as 2^3) signifies 2 x 2 x 2 = 8.

We need to solve it and then find the value of the exponent

(2/5)^3

= \(\frac{2}{5}\) x \(\frac{2}{5}\) x \(\frac{2}{5}\)

= \(\frac{2 . 2. 2}{5 . 5 . 5}\)

= \(\frac{8}{125}\)

Therefore the value of the exponent (2/5)^3 is \(\frac{8}{125}\)

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Answer:

\(x=6, y=-2\)

Step-by-step explanation:

\(-2=3x-20 \\ \\ 3x=18 \\ \\ x=6 \\ \\ \therefore x=6, y=-2\)

Answer:

The answer is x = 6. If you want to solve the equation by inputting the x and y value, then take the x value and input it into the equation as well as the y value.

Step-by-step explanation:

To solve this equation, plug in the value equal to y and solve for x. The first thing you have to do is make the equation -2 = 4x - 20, since we already have the value for y which is given in the question. Then add 20 to both sides of the equation. We now have 18 = 3x, divide both sides by 3 and you have your answer.

Hence, X = 6.

The set of solutions for each of the inequalities are given by:

(b) - 4.8 < m < 6.4

(e) x \(\geq\) 5

(g) - 11.6 < z < 14

(h) either k < -19/3 or k > 7

Solving the given absolute value inequalities we get,

(b) The given inequality,

|2 - 5m/2| < 14

- 14 < 2 - 5m/2 < 14

-14 - 2 < -5m/2 < 14 - 2

-16 < -5m/2 < 12

-12 < 5m/2 < 16

-12*2 < 5m < 16*2

-24/5 < m < 32/5

- 4.8 < m < 6.4

(e) The given inequality,

2> - |(x-8)/5 + 3/5|

|(x-8)/5 + 3/5| > -2

|(x-8)/5 + 3/5| \(\geq\) 0 [Since absolute value is always positive or zero]

(x-8)/5 + 3/5 \(\geq\) 0

(x-8+3)/5 \(\geq\) 0

x - 5 \(\geq\) 0

x \(\geq\) 5

(g) The given inequality,

|(5z - 6)/8| < 8

-8 < (5z - 6)/8 < 8

-64 < 5z - 6 < 64

-64 + 6 < 5z < 64 + 6

-58 < 5z < 70

-58/5 < z < 70/5

-58/5 < z < 14

- 11.6 < z < 14

(h) The given inequality,

|(3k - 1)/4| > 5

either, (3k - 1)/4 < -5

3k - 1 < -20

3k < -19

k < -19/3

or, (3k - 1)/4 > 5

3k - 1 > 20

3k > 20 + 1 = 21

k > 21/3

k > 7

Hence the solution sets are:

(b) - 4.8 < m < 6.4

(e) x \(\geq\) 5

(g) - 11.6 < z < 14

(h) either k < -19/3 or k > 7

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We know that y varies directly with x.

First we need to find the constant of variation

7=14k

k= 7/14

k=1/2

the equation that relates x and y is

Answer:

200 soldiers stand in a straight row.

Beginning from the left, the soldiers call out: 1, 2, 3, 4, 5, 1, 2, 3, 4, 5,

1, 2, 3, 4, 5,

Following that, the soldiers call out from the right: 1, 2, 3, 4, 1, 2,

3, 4, 1, 2, 3, 4,

How many soldiers call out the same number?

The equations of the lines that pass through the point (0,5) and intersect the circle at exactly one point are y = 4/3x + 5 and y = -4/3x + 5.

The equation of a circle centred at the origin with a radius of 3 units is defined by x² + y² = 3². The coordinates of the point are (0, 5). Let the equation of the tangent be y = mx + c.

y = mx + c

5 = m(0) + c

c = 5

The equation of the tangent is of the form mx -y + 5 = 0. The distance of the centre of the circle from the tangent must be equal to the radius of the circle.

d = |ax + by + c|/√(a² + b²)

3 = |m(0) + (-1)(0) + 5|/√[m² + (-1)²]

√[m² + (-1)²] = 5/3

m² + 1 = 25/9

m² = 16/9

m = ±4/3

The equations of the tangents are y = 4/3x + 5 and y = -4/3x + 5.

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Step-by-step explanation:

Step 1: find the names of the two sides we know

triangle showing Opposite, Adjacent and Hypotenuse

Adjacent is adjacent to the angle,

Opposite is opposite the angle,

and the longest side is the Hypotenuse.

Example: in our ladder example we know the length of:

the side Opposite the angle "x", which is 2.5

the longest side, called the Hypotenuse, which is 5

Step 2: now use the first letters of those two sides (Opposite and Hypotenuse) and the phrase "SOHCAHTOA" to find which one of Sine, Cosine or Tangent to use:

SOH...

Sine: sin(θ) = Opposite / Hypotenuse

...CAH...

Cosine: cos(θ) = Adjacent / Hypotenuse

...TOA

Tangent: tan(θ) = Opposite / Adjacent

In our example that is Opposite and Hypotenuse, and that gives us “SOHcahtoa”, which tells us we need to use Sine.

Step 3: Put our values into the Sine equation:

Sin (x) = Opposite / Hypotenuse = 2.5 / 5 = 0.5

Step 4: Now solve that equation!

sin(x) = 0.5

Next (trust me for the moment) we can re-arrange that into this:

x = sin-1(0.5)

And then get our calculator, key in 0.5 and use the sin-1 button to get the answer:

x = 30°

JUST EXAMPLE

Answer:

congruent/alternate interior angles

Step-by-step explanation: congruent means theyre equal and interior means theyre both on the inside

Answer:

33602675

Step-by-step explanation:

Answer:

yes

Step-by-step explanation:

it passes the vertical line test

The area of the figure = area of trapezium + area of rectangle = 420 cm².

Area of trapezium = 1/2(a + b)h

Area of rectangle = length × height.

The area of the figure = area of trapezium + area of rectangle

The area of the figure = 1/2(a + b)h + length × height

Plug in the values

The area of the figure = 1/2(23 + 15)6 + 23 × 12

The area of the figure = 144 + 276

The area of the figure = 420 cm²

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Answer: The area is 390 cm

Step-by-step explanation:

All you have to do is find the area of the trapezoid and the area of the rectangle and add them together.

Area of trapezoid formula: A = 1/2 (Base 1 + Base 2)h

base 1 = 15 cm

base 2 = 23 cm

height = 6 (18-12)

so, 15 + 23 = 38

38 x 6 = 228

228 x 0.5 or 1/2 = 114

Therefore the area of the trapezoid is 114 cm

Area of rectangle formula: A = bh

base = 23

height = 12

12 x 23 = 276

Therefore the area of the rectangle is 276 cm

Now add the values together, 114 + 276 = 390

390 is the area of the figure

The amount in the account 31.00 years from today would be approximately $2,990,040.02.

To calculate the future value of annual deposits, you can use the formula for the future value of an ordinary annuity:

Future Value = Payment * [(1 + interest rate)^(number of periods) - 1] / interest rate

Given:

Payment = $5,171.00 per year

Interest rate = 12.00%

Number of periods = 15.00 years

First, let's calculate the future value of the deposits after 15 years:

Future Value = $\(5,171.00 * [(1 + 0.12)^(15) - 1] / 0.12\)

Future Value = $5,171.00 *\((1.12^15 - 1) / 0.12\)

Future Value = $5,171.00 * (4.040609 - 1) / 0.12

Future Value = $5,171.00 * 3.040609 / 0.12

Future Value = $131,525.53

Now, we need to calculate the future value of this amount after an additional 31 years:

Future Value = $131,525.53 * \((1 + 0.12)^(31)\)

Future Value = $131,525.53 * \(1.12^31\)

Future Value = $131,525.53 * 22.737542

Future Value = $2,990,040.02

Therefore, the amount in the account 31.00 years from today would be approximately $2,990,040.02.

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Derek will deposit $5,171.00 per year for 15.00 years into an account that earns 12.00% Assuming the first deposit is: made 400 years from today, how much will it be in the account 31.00 years from today?

Answer:

48

Step-by-step explanation:

First, we find 20% of 60. That is 12. Then we subtract 12 from 60, making 48.

In the give diagram, the value of f is 6.0

From the question, we are to determine the value of f

Using the law of sines, we can write that

\(\frac{f}{sinF} =\frac{e}{sinE}\)

From the given information,

F = 27°

e = 13

E = 98°

Putting the parameters into the equation, we get

\(\frac{f}{sin(27)} =\frac{13}{sin(98)}\)

\(\frac{f}{0.4540} =\frac{13}{0.9903}\)

\(f=\frac{13 \times 0.4540}{0.9903}\)

f = 5.9598

f ≅ 6.0

Hence, the value of f is 6.0

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A. 559 meters Is the answer

Answer:

0

Step-by-step explanation:

To find slope you need to take two points from the line and use the slope formula (\(m = \frac{\text{rise}}{\text{run}} = \frac{y_2 - y_1}{x_2 - x_1}\))

Im going to take the points (0,3) and (-2,3) So now lets put these coordinates into the formula:

this would give us 0

(Edit* tbh i think the line might not even exist - ya know it says ¨Find the slope of the line if it exists¨ anyway ~_~ hope this helped...!)

Answer:

Slope m=-5/3

Step-by-step explanation:

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

You need to use two points

(x1,y1)= (0,3)

(x2,y2)= (3,-2)

m=(-2-3)/(3-0) = -5/3

Answer:

We get -2 < r < 3

Corresponding to the fourth choice

The fourth number line is the correct option

Step-by-step explanation:

-2 < 3r+4 < 13

We have to isolate r,

subtracting 4 from each term,

-2-4< 3r + 4 - 4 < 13 - 4

-6 < 3r < 9

divding each term by 3,

-6/3 < r < 9/3

-2 < r < 3

so, the interval is (-2,3)

or, -2 < r < 3

this corresponds to

The fourth choice (since there is no equality sign)

Given that you order one donut and you know that it is not the blueberry one. We need to determine the probability that it is the chocolate one.

Say we have 3 flavors of donuts such as Blueberry, Chocolate and Glazed. There are a total of 3 possibilities for the first choice. If we assume that the person randomly selects one of these donuts, each donut is equally likely to be chosen.

Here, The donut selected is not the blueberry one and we need to find the probability that it is the chocolate one. Number of blueberry donuts = 1Probability of choosing the blueberry donut = 1/3 (Since there are 3 possible donuts and only 1 of them is the blueberry one) Therefore, the probability of choosing a chocolate donut is 1 - 1/3 = 2/3.

Similarly, the probability of choosing a glazed donut is also 2/3. Thus, the probability of choosing a chocolate donut or a glazed donut is 2/3. Answer: 2/3.

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