Solve for x using the addition principles. Don’t forget to perform a check. X+10=-12

Answer:

104.8cm³(1 decimal place)

Step-by-step explanation:

Volume of a cone is given by the formula

V=1/3πr²h

we are given a radius of 5 and a height of 4 so we will just substitute for the values and we will give our pie as 22/7

V=1/3× 22/7×5²×4

V=1/3 × 22/7 ×25 ×4

V=2200/21

V=104.76190476

V=104.8cm³(1decimal place)

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Answer:

38.part A) 3p = 25.47

partB) $8.49

Step-by-step explanation:

38) to get the price of a game ,$25.47 will be divided by

 25.47÷3=$8.49

the price of 1 game =&8.49

 to get the price of 1 game , the equation will be

 3p=25.47

 p=25.47÷3

 p=$8.49

Answer:

1. b_ 2. a_ 3. c_ 4. d

Step-by-step explanation:

1 is b mainly because it is marked that way. Your picture doesn't show all of d so not really sure about it, but I used the process of elimination. Picture c is side angle side b/c of the vertical angles.

The different 2-member groups that are possible is 28

From the question, we have

Total number of members, n = 8

Numbers to selection, r = 2

The number of ways of selection could be drawn is calculated using the following combination formula

Total = ⁿCᵣ

Where

n = 8 and r = 2

Substitute the known values in the above equation

Total = ⁸C₂

Apply the combination formula

ⁿCᵣ = n!/(n - r)!r!

So, we have

Total = 8!/(6! * 2!)

Evaluate

Total = 28

Hence, the number of ways is 28

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Answer:

102

Step-by-step explanation:

We have the mean (m) 128.5 and the standard deviation (sd) 8.2, we must calculate the value of z for each one and determine whether or not it is an outlier:

z = (x - m) / sd

In the first case x = 148:

z = (148 - 128.5) /8.2

z = 2.37

In the second case x = 102:

z = (102 - 128.5) /8.2

z = -3.23

In the first case x = 152:

z = (152 - 128.5) /8.2

z = 2.86

The value of this is usually between -3 and 3, therefore when x is 102 it goes outside the range of the value of z, which means that this is the outlier.

The minimum production rate of bushels per acre of corn needed this year is 97 for two year's production to reach the goal of 49,100.

To calculate the minimum production rate for this year, we must subtract the production rate of the previous year, with what is expected to be obtained this year.

Then we must divide the minimum that must be obtained by the total area, by the 300 acres that we have, to know how much corresponds to each acre.

According to the above, each acre must produce 97 bushels of corn to reach the goal of 49,100 for both years.

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Answer:

96

Step-by-step explanation:

From the given information:

At 95% Confidence interval level,Level of significance \(\alpha\) 0.05, the value of Z from the standard normal tables = 1.96

Margin of Error = 0.10

Let assume that the estimated proportion = 0.5

therefore; the sample size n can be determined by using the formula: \(n =(\dfrac{Z}{E})^2 \times p\times (1-p)\)

\(n =(\dfrac{1.96}{0.1})^2 \times 0.5\times (1-0.5)\)

\(n =(19.6)^2 \times 0.5\times (0.5)\)

n = 96.04

n \(\approx\) 96

Answer:

-2x^2+8x-9+4x+7x^2+2 = 5x²+12x-7

Step-by-step explanation:

The equation of p(x) in vertex form is p(x) = 3(x + 1)² - 3.

Option C is the correct answer.

Since, Polynomial is an equation written as the sum of terms of the form kxⁿ.

where k and n are positive integers.

We have,

From the table,

From p(x) = 24 to p(x) = -3 the value of p(x) is decreasing and from p(x) = -3 to p(x) = 24 it is increasing.

So,

The vertex is (- 1, -3).

The vertex form of p(x).

p(x) = a ( x - h)² + k

Where (h, k) is the vertex.

Now,

(-1, -3) = (h, k)

Make (- 2, 0) = (x, p(x))

0 = a (- 2 + 1)² + (-3)

0 = a x 1 - 3

a = 3

Thus, The vertex equation of p(x).

p(x) = 3(x + 1)² - 3

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The value of y is obtained finding the numeric value of the function at x = 4. On a graph, it is given by the value of y at which the vertical line at x = 4 crosses the graph of the function.

To find the numeric value of a function or of an expression, we replace each instance of the variable in the function or in the expression by the value at which we want to find the numeric value.

The problem is incomplete, hence the general procedure to obtain the value of y is presented.

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3. The factored polynomial is p(x) = (x - 1)(x - 5)

4. The factored polynomial is p(x) = (x + 3)²

A polynomial is a mathematical expression in which the power of the unknown is greater than or equal to 2.

3. To factorize the polynomial using the graph, we see that the polynomial cuts the x - axis at x = 1 and x = 5.

This implies that its factors are (x - 1) and (x - 5)

So, the factored polynomial is p(x) = (x - 1)(x - 5)

4. To factorize the polynomial using the graph, we see that the polynomial touches the x - axis at only one point x = -3. So,it has repeated roots

This implies that its factors are (x - (-3)) = (x + 3) twice

So, the factored polynomial is p(x) = (x + 3)²

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The difference between the price that DeMarkus thought he should pay and the price that the store charged him is $24

The question provided is incomplete. Here is the complete question : DeMarkus says that a store overcharged him on the price of the video game he bought. He thought the price was marked  1/4 of the original price, but it was really  1/4 off the original price. He misread the advertisement. If the original price of the game was $48 , what is the difference between the price that DeMarkus thought he should pay and the price that the store charged him?  A. $28.50B. $36.00C. $42.50D. $24.00

The first step is to determine the price DeMarkus thought the price of the videogame was = 1/4 of the original price

1/4 x $48 = $12

The second step is to determine the actual discounted price.

Actual discounted price = original price = (1/4 of the price)

48 - (1/4 x $48 = $12)

$48 - $12 = $36

The third step is to determine the difference in the prices

$36 - $12 = $24

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Answer:

|b| = 3/5 = 0.6

Step-by-step explanation:

Two vectors

W = (w₁, w₂)

V = (v₁, v₂)

Are orthogonal if their dot product is equal to zero, this is:

W.V = 0 = w₁*v₁ + w₂*v₂

Here we know that:

u = (3, 4) and v = (a, b) are orthogonal.

And v is an unit vector, which means that:

II v II = 1 = √( a^2 + b^2)

or simply:

1 = a^2 + b^2

And because these vectors are orthogonal, we also have that:

3*a + 4*b = 0

Then we have two equations:

1 = a^2 + b^2

3*a + 4*b = 0

We want to find the value of |b|

For that, we can start by isolating a in the second equation, so we get:

3*a = -4*b

a = (-4/3)*b

Now we can replace that in the first equation to get:

1 = ((-4/3)*b)^2 + b^2

1 = (16/9)*b^2 + b^2

1 = (25/9)*b^2

1*(9/25) = b^2

(9/25) = b^2

Then we will have that:

|b| = √b^2 = √(9/25) = 3/5

|b| = 3/5 = 0.6

Answer:

D,p

Step-by-step explanation:

whattttttt ,why is there no option in D

The Probability that a data value is between 27 and 28 is 9.3%.

Probability is the branch of mathematics concerning numerical descriptions of how likely an event is to occur, or how likely it is that a proposition is true. The probability of an event is a number between 0 to 1,

Here, mean of the data is 26

P(0 ≤ x - μ ≤ σ/2) = 0.195

P(0 ≤ x - μ ≤ σ/4) = 0.0987

P(σ/4 ≤ x - μ ≤ σ/2) = 0.093

Thus, the Probability that a data value is between 27 and 28 is 9.3%.

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Answer:

See below

Step-by-step explanation:

Part A

\(f(g(x))=f(\frac{x}{3})=3(\frac{x}{3})=x\\g(f(x))=g(3x)=\frac{3x}{3}=x\)

Since BOTH \(f(g(x))=x\) and \(g(f(x))=x\), then \(f\) and \(g\) are inverses of each other

Part B

\(f(g(x))=f(\frac{x+1}{2})=2(\frac{x+1}{2})+1=x+1+1=x+2\\g(f(x))=g(2x+1)=\frac{(2x+1)+1}{2}=\frac{2x+2}{2}=x+1\)

Since BOTH \(f(g(x))\neq x\) and \(g(f(x))\neq x\), then \(f\) and \(g\) are NOT inverses of each other

Answer:

0.93

Step-by-step explanation:

3/5 is 0.6

2/6 is 0.33 (repeating)

Adding those two would be 0.93 or 93/100.

Answer: Well, once you add all of the prices together to see how much she spent after buying these items you'll see it totals up to $7.02. Veronica is correct in believing she should've received more change as she was only given 3 quarters which is 75 cents and 4 pennies which adds up to 79 cents. She should've actually received $2.98.

The new area would be 40 square inches. When a scale factor dilates a polygon, the area is multiplied by the square of the scale factor. If the original area is 10 square inches and the scale factor is 4, the new area would be 10 x 4^2 = 10 x 16 = 40 square inches.

Answer:

1. HL

2. ASA

3. AAS

4. SSS

Step-by-step explanation:

1. The hypotenuse and right angle of one triangle is congruent to the other triangle's hypotenuse and right angle, proving the hypotenuse-leg congruency theorem (HL).

2. The two angles and their included side (the side between the two angles) of a triangle match those of the other triangle, proving the angle-side-angle congruency theorem (ASA).

3. The measures of the side and the two adjacent angles of a triangle are given. They are congruent to the corresponding parts of the other triangle, proving the angle-angle-side congruency theorem (AAS).

4. All side lengths of one triangle are given, matching the corresponding sides of the other triangle. This proves the side-side-side congruency theorem (SSS).

I hope this helped!

Answer:

12

Step-by-step explanation:

x is the number of questions answered correctly in that section

Answer:

Hello,

Answer 162

Step-by-step explanation:

Let say n the searched number.

\(n=\overline{abc}\\a>0\\c=a+1\\b=2*(a+c)\\\\.T.\ means\ True.\\\\\\\begin{array}{c|c|c|c}a&c&b&ok\\1&2&6&.T.\\3&4&14&.F.\\5&6&22&.F.\\7&8&30&.F.\end{array}\\\\\\\boxed{Answer\ n=162}\\\)

Answer:

Step-by-step explanation

I would probably do markings for 5, so each box has a value of 5 for both axes and then you would put 75, your y-intercept at 75 on the y-axis and then go over 3 boxes and up one to graph the points, that is if you do a scale of 5 though. Hope that helps

The approximate solution to the equation 1/x-1 = |x-2| after three iterations of successive approximation is x ≈ 5/2 or x ≈ 2.5.

To solve the equation 1/x-1 = |x-2| using three iterations of successive approximation, we will start with an initial guess and refine it using an iterative process.

Given that the equation involves absolute value, we will consider two cases:

Case 1: x - 2 ≥ 0

In this case, |x-2| simplifies to x-2, and the equation becomes 1/(x-1) = x-2.

Case 2: x - 2 < 0

In this case, |x-2| simplifies to -(x-2), and the equation becomes 1/(x-1) = -(x-2).

Now, let's perform the successive approximation:

Iteration 1:

Let's start with an initial guess, x = 2.

Case 1: When x - 2 ≥ 0,

1/(2-1) = 2-2,

1/1 = 0,

which is not true.

Case 2: When x - 2 < 0,

1/(2-1) = -(2-2),

1/1 = 0,

which is not true.

Since our initial guess did not satisfy the equation in either case, we need to choose a different initial guess.

Iteration 2:

Let's try x = 3.

Case 1: When x - 2 ≥ 0,

1/(3-1) = 3-2,

1/2 = 1,

which is not true.

Case 2: When x - 2 < 0,

1/(3-1) = -(3-2),

1/2 = -1,

which is not true.

Again, our guess did not satisfy the equation in either case.

Iteration 3:

Let's try x = 2.5.

Case 1: When x - 2 ≥ 0,

1/(2.5-1) = 2.5-2,

1/1.5 = 0.5,

which is true.

Case 2: When x - 2 < 0,

1/(2.5-1) = -(2.5-2),

1/1.5 = -0.5,

which is not true.

Our guess of x = 2.5 satisfies the equation in Case 1.

Therefore, the approximate solution to the equation 1/x-1 = |x-2| after three iterations of successive approximation is x ≈ 5/2 or x ≈ 2.5.

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Answer:

The total hotdogs are 8 and total bag of chips are 4 and altogether is 12

Step-by-step explanation:

1 brother gets 2 hot dogs and 1 bag of chips

. To find the total hot dogs multiply 2 by 4 and you will get 8

. To find the total chips multiply 4 from 1 and the answer is obviously 4

To find the total together add 4 and 8 you will get 12

HOPE THIS HELPS :)

the amount of money a worker earns is directly proportional to the number of hours worked.at this rate.thag worker makes $104 in an 8 hour shift.weite a direct variation equation that relates the earnings (e) of the worker to the number of hours (n) worked. use the correct lowercase variables given ,and use no spaces​

we know that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form e=kn

In this problem we have

e -----> amount of money a worker earns

n -----> number of hours worked

k is the constant of proportionality

k=e/n

Find the value of k

we have

For n=8 hours, e=$104

sibstitute

k=104/8

k=$13 per hour

The linear equation is

If m = -5 or m = 3, the system of linear equations has no solution.

To determine the values of m for which the system of linear equations has no solution, we need to check the determinant of the coefficient matrix, which is:

| 3 m |

| m+2 5 |

The determinant is

=  (3 x 5) - (m x (m+2))

= 15 - m^2 - 2m

= -(m^2 + 2m - 15)

= -(m+5)(m-3)

So, for the system to have no solution, the determinant must be zero, so we have:

-(m+5)(m-3) = 0

This gives us two values of m: m = -5 and m = 3.

Thus, if m = -5 or m = 3, the system of linear equations has no solution.

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