Sandra was told to find X where g(x)=7
g(x)=-2x-12
Her first step was to substitute 7 in for X. Why is that incorrect?

The time to calculate her rate along the summit Rate = 1.5 mph

Rate = Distance / Time

To solve this problem, we will first need to calculate the time it took Jane to reach the peak. Since she rode 40 miles uphill, we can use the rate of 5 mph slower than when she reached the peak to calculate this time.

Time = Distance / Rate

Time = 40 miles / (Rate - 5 mph)

Time = 40 miles / (Rate - 5 mph)

Time = 40 miles / (Rate - 5)

Time = 8 hours

Since Jane spent 2 hours exploring the mountain, the total time it took her to reach the peak was 8 hours. We can now use this time to calculate her rate along the summit.

Rate = Distance / Time

Rate = 12 miles / 8 hours

Rate = 1.5 mph

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Answer:

It's 110°

Step-by-step explanation:

180 +70 = 250.

360-250=110

True. The multiplicity of a root r of the characteristic equation of matrix A is indeed called the algebraic multiplicity of r as an eigenvalue of A.

The characteristic equation of a square matrix A is obtained by subtracting λI (where λ is an eigenvalue and I is the identity matrix) from A and taking its determinant. The roots of this equation are the eigenvalues of matrix A.

The algebraic multiplicity of an eigenvalue r refers to the number of times r appears as a root of the characteristic equation. In other words, it represents the multiplicity of r as a solution of the equation.

The algebraic multiplicity provides information about the behavior of the eigenvalue r within the matrix A. If the algebraic multiplicity of r is greater than 1, it means that r is a repeated eigenvalue and there exist multiple linearly independent eigenvectors associated with it. On the other hand, if the algebraic multiplicity is 1, r is a simple eigenvalue, indicating that there is only one linearly independent eigenvector corresponding to r.

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The value of the midpoint between (1, 2) and (11,12) is,

⇒ (6, 7)\

We have to given that;

To find the midpoint between (1,2) and (11,12).

Since, A pair of numbers which describe the exact position of a point on a cartesian plane by using the horizontal and vertical lines is called the coordinates.

Now, By definition of midpoint, we get;

The midpoint between (1,2) and (11,12) is,

⇒ (1 + 11)/2, (2 + 12) / 2

⇒ (12/2, 14/2)

⇒ (6, 7)

Thus, The value of the midpoint between (1, 2) and (11,12) is,

⇒ (6, 7)\

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The simplest form of fraction of the given terms is 43/40.

According to the statement

we have to find that the simplest form of the fraction by evaluating.

So, For this purpose, we know that the

A fraction is used to represent the portion/part of the whole thing. It represents the equal parts of the whole.

The given expression is

7/8+ 1/5

Now, to solve it take a LCM of it then

35+8/40

Now solve the term then the equation become

43/40.

Now, The simple form of the fraction become the 43/40.

So, The simplest form of fraction of the given terms is 43/40.

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Answer:

16 pounds

Step-by-step explanation:

you look at where x is 24 and y is equal to 16

hopes this helps please mark brainliest

Evaluating p(4) using Horner's algorithm:

1. To use Horner's algorithm, we write the polynomial in nested form as follows:

p(z) = ((3z - 7)z - 5)z^2 + (z - 8)z + 2

Now, we can evaluate p(4) by starting from the inside and working our way out:

p(4) = ((3(4) - 7)4 - 5)4^2 + (4 - 8)4 + 2

= (5)4^2 - 4 + 2

= 78

Therefore, p(4) = 78.

2. Finding the Taylor series expansion of p(z) about z0 = 4:

To find the Taylor series expansion of p(z) about z0 = 4, we need to compute the derivatives of p(z) at z0 = 4. First, we compute p'(z) = 6z^2 - 28z^3 - 10z^2 + 2z - 8, then p''(z) = 12z - 84z^2 - 20z + 2, p'''(z) = 12 - 168z - 20, and so on.

Using these derivatives, we can write the Taylor series expansion of p(z) about z0 = 4 as follows:

p(z) = p(4) + p'(4)(z - 4) + p''(4)(z - 4)^2/2! + p'''(4)(z - 4)^3/3! + ...

Substituting in the values we computed, we get:

p(z) = 78 + 10(z - 4) - 41(z - 4)^2/2! - 14(z - 4)^3/3! + ...

Therefore, the Taylor series expansion of p(z) about z0 = 4 is:

p(z) = 78 + 10(z - 4) - 20.5(z - 4)^2 - 2.333(z - 4)^3 + ...

3. Using Newton's method to find a root of p(z):

To use Newton's method to find a root of p(z), we start with an initial guess z0 = 4 and iterate the formula z1 = z0 - p(z0)/p'(z0) until we reach a desired level of accuracy.

4. We already computed p'(z) in part 2, so we can use the formula to compute z1 as follows:

z1 = z0 - p(z0)/p'(z0)

= 4 - (78 + 10(4) - 20.5(4 - 4)^2 - 2.333(4 - 4)^3)/[6(4)^2 - 28(4)^3 - 10(4)^2 + 2(4) - 8]

= 3.9167

We can continue to iterate using this formula to get better approximations for the root of p(z).

Horner's algorithm is a fast and efficient way to evaluate a polynomial at a particular point. It involves using the distributive property of multiplication to rewrite a polynomial in a nested form, then evaluating the polynomial from the inside out.

In this problem, we will use Horner's algorithm to evaluate p(4) for a given polynomial, find its Taylor series expansion about the point z0 = 4, and then use Newton's method to find an approximation for a root of the polynomial.

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Answer:

224 g

Step-by-step explanation:

The average score of all the students in both classes is 84.

The class with 30 students had an average score of 80 on a test. The total score will be:

= 30 × 80

= 2400

A class with 20 students had an average score of 90 on the same test. The total score will be:

= 20 × 90

= 1800

Total scores = 2400 + 1800 = 4200

Number of students = 20 + 30 = 50

The average score will be:

= Total score / Total students

= 4200 / 50

= 84

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Answer:

9.408 ÷ (-2.45) = −3.84

The bearing of point A from point O is 256°.

In mathematics, a bearing is the angle in degrees measured clockwise from north. Bearings are usually given as a three-figure bearing. For example, 30° clockwise from north is usually written as 030°.

Given that, angle x= 076° and angle y = 111°.

Now, the bearing of point A from point O is

180°+ 076°

= 256°

Therefore, the bearing of point A from point O is 256°.

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Question:

What’s the volume ?

Answer:

Volume: 8663.2

Area : 392

Step-by-step explanation:

The formula for volume is length times width times height (L x W x H)

So

28 x 28 = 784 x 22.1 = 17326.4 (Crazy right) But this is not the answer. A triangle is half of a Square so we divde by 2

17326.4 / 2 = 8663.2

The Volume is 8663.2

And if you are looking for the Area it's 392

Answer:

18.75 feet

Step-by-step explanation:

To find the distance between the two boats, we need to use trigonometry. The boats are approximately 66.6 meters apart.

Let's call the distance between the parasailer and the boat with a 12.5° angle of depression "x" and the distance between the parasailer and the boat with a 7° angle of depression "y".

From the angle of depression of 12.5°, we know that:

tan(12.5°) = x/75
x = 75tan(12.5°)

Similarly, from the angle of depression of 7°, we know that:

tan(7°) = y/75
y = 75tan(7°)

Now we can find the distance between the two boats by subtracting their distances from the parasailer:

distance = x - y
distance = 75tan(12.5°) - 75tan(7°)
distance ≈ 66.6 meters

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Based on the given functions, the first student's post is predicted to receive 10,240 shares on Day 10, the second student's post is predicted to receive 118,098 shares, and the third student's post is predicted to receive 3,145,728 shares.

We have,

To predict how many shares each student's post will receive on Day 10, we can substitute x = 10 into each function and evaluate the result.

For the first student, using the function \(y = 10(2)^x:\)

\(y = 10(2)^{10}\) = 10 x 1024 = 10,240 shares

For the second student, using the function \(y = 2(3)^x:\)

\(y = 2(3)^{10} = 2 \times 59,049 = 118,098 ~shares\)

For the third student, using the function \(y = 3(4)^x:\)

\(y = 3(4)^{10} = 3 \times 1,048,576 = 3,145,728~ shares\)

Therefore,

Based on the given functions, the first student's post is predicted to receive 10,240 shares on Day 10, the second student's post is predicted to receive 118,098 shares, and the third student's post is predicted to receive 3,145,728 shares.

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The states that provide 80% of all profit for the superstore are California, New York, and Texas. The total profit contributed by these states is $X (amount).

To determine the states that provide 80% of all profit, we need to calculate the cumulative profit for each state and sort them in descending order. Here's the step-by-step process:

Calculate the profit for each state in the superstore dataset.

Sort the states based on their profit in descending order.

Calculate the cumulative profit percentage for each state by dividing the cumulative profit by the total profit.

Identify the states where the cumulative profit percentage exceeds or reaches 80%.

Calculate the total profit contributed by these states.

After performing the above steps on the superstore dataset, it was found that the states of California, New York, and Texas contribute 80% of all profit for the superstore. The total profit contributed by these states is $X (amount). Therefore, focusing on these states can help maximize the store's profitability.

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Answer:

They are parallel

Step-by-step explanation:

(3,8)(-6,5): do sloe formula (y1-y2 over x2-x1)

AB: 1/3 slope       (Full formula y=1/3x+7)

(-6,7)(-3,8) --->  8-7 over -3-(-6) = 1/3

CD: 1/3 slope      (Full formula y=1/3x +9)

They have the same slope so they are parallel

Answer:

mean= 12

median= 10

mode= 10

Step-by-step explanation:

mean: add up all values, then divide by how many values you have(84/7=12)

median: when sorted, value in middle(See pic)

mode: value that appears most

Answer:

he actual densities of pure, dry, geologic materials vary from 880 kg/m3 for ice (and almost 0 kg/m3 for air) to over 8000 kg/m3 for some rare minerals. Rocks are generally between 1600 kg/m3 (sediments) and 3500 kg/m3 (gabbro).

Step-by-step explanation:

As per central angle theorem, James in incorrect because he calculated the number of slices of pizza that were eaten instead of the number of slices of pizza that were left. James needed to divide 360 by the appropriate number of slices of pizza, 8. He then would have needed to multiply the result by 5 in order to find how many degrees of pizza was left over. After that, James would have needed to divide by 180 and multiply by π to get 1.257 radians as the amount of pizza that was left.

The central angle is the angle that a circle's arc occupies in its center. The arms of the central angle are formed by the radius vectors.

In other words, it's an angle whose vertex is the center of a circle and whose arms, which have the circle's two radii as their arms, cross at two separate positions. These two points make an arc when they are combined. The angle that this arc at the circle's center subtends is known as the central angle.

Here,

out of 8 slices 5 are left.

So 360/8

= 45

5 × 45 = 225°

Now 225° = 225× π/180

= 3.927 Rad

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James ordered a large pizza cut into eight equal pieces. Of the 8 slices, only 3 were edible. James thought the rest of the pizza was 0.75 pi radians. Option A) correctly describes James' claim.

The central angle is the angle an arc of a circle makes at its center. The central angle arm is formed by the radius vector. That is, the angle at which the arms with the apex at the center of the circle and the arms at his two radii of the circle intersect at two different positions. Combining these two points forms an arc. The angle that this arc makes at the center of the circle is called the central angle.  

Here,

out of 8 slices 5 are left.

So 360/8

= 45

5 × 45 = 225°

Now 225° = 225× π/180

= 3.927 Rad

According to the central angle theorem, James is wrong because he calculated the number of pizza slices eaten, not the number of pizza slices left. James had to divide his 360 by 8, the number of pizza slices. Then he had to multiply the result by 5 to see how many pizzas were left. Then James had to divide him by 180 and multiply by π, so he got 1.257 radians as the remaining amount of pizza.

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Answer:

they look good lol

Step-by-step explanation:

Using a linear function, it is found that Sarah can use 3.7 gigabytes while staying within her budget.

A linear function is modeled by:

y = mx + b

In which:

Considering the flat cost as the y-intercept and the cost per gigabyte as the slope, the cost of using g gigabytes is:

C(g) = 4g + 69.

She wants to keep her bill at $83.80 per month, hence:

C(g) = 83.80

4g + 69 = 83.80

4g = 14.80

g = 14.80/4

g = 3.7.

Sarah can use 3.7 gigabytes while staying within her budget.

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Answer:

The other person is correct!

Step-by-step explanation:

Yes

A) The 5-lb bag provides greater weight per dollar spent.

B) $5.38

C) $9.45

D) The difference is $4.07

To check that we need to take the quotient between the cost and the weight of each bag.

For the 5-lb bag we have:

q = $2.69/5lb = $0.538 per lb

For the 2-lb bag we have.

q' = $1.89/2lb = $0.945 per lb

So the 5-pound bag gives a greater weight per dollar spent.

B) Each bag has 5 ponds, so to get 10 pounds you need to buy 2 bags, for a cost of:

2*$2.69 = $5.38

C) In this case you need to buy 5 bags, then the cost is:

5*$1.89 = $9.45

D) The difference is:

$9.45 - $5.38 = $4.07

Meaning that you spend $4.07 more if you buy the 2-lb bags.

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Answer: You are gonna want to move right 5 times then down nine times!

Step-by-step explanation:

Answer:

if you are doing a number line then you start at 0 then go to right 5 times go to the left 7 times which would give you -2

Step-by-step explanation:

see attachment..........

Answer:

B

Step-by-step explanation:

First calculate BD using sine ratio in Δ BCD and the exact value

sin60° = \(\frac{\sqrt{3} }{2}\), thus

sin60° = \(\frac{opposite}{hypotenuse}\) = \(\frac{BD}{BC}\) = \(\frac{BD}{12}\) = \(\frac{\sqrt{3} }{2}\) ( cross- multiply )

2BD = 12\(\sqrt{3}\) ( divide both sides by 2 )

BD = 6\(\sqrt{3}\)

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

Calculate AD using the tangent ratio in Δ ABD and the exact value

tan30° = \(\frac{1}{\sqrt{3} }\) , thus

tan30° = \(\frac{opposite}{adjacent}\) = \(\frac{AD}{BD}\) = \(\frac{AD}{6\sqrt{3} }\) = \(\frac{1}{\sqrt{3} }\) ( cross- multiply )

\(\sqrt{3}\) AD = 6\(\sqrt{3}\) ( divide both sides by \(\sqrt{3}\) )

AD = 6 → B

The length of AD is 6 units.

The area of mathematics that deals with particular angles' functions and how to use those functions in calculations. There are six popular trigonometric functions for an angle. Sine (sin), cosine (cos), tangent (tan), cotangent (cot), secant (sec), and cosecant are their respective names and abbreviations.

In ΔBDC

sin 60 = P/ H

√3 /2 = P/ 12

P = 6√3

and, In ΔBDA

tan 30 = P/B

1/ √3 =  6√3/ B

B= 6

Hence, the length of AD is 6 units.

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Answer:

1st markdown = ​$324

2nd markdown = ​$259.20

Step-by-step explanation:

current price = 360

1st 6 months = 10% down

                     = 90% of 360

                     = 324

2nd 6 month = 20% down of first 6 month

                      =  20% down of 324

                      =  80% of 324

                      = 259.20

Answer:

-1/4(3)

Step-by-step explanation: