The points (10,w) and ( – 6, – 9) fall on a line with a slope of 1. What is the value of w?
i need an answer ASAP

Answer:

64

Step-by-step explanation:

The value of the voltage of the electricity is 6 + j + 2j²

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

C = 2 - j

I = 3 + 2j

The formula of voltage is given as

V = CI

Substitute the known values in the above equation, so, we have the following representation

V = (2 - j) * (3 + 2j)

Open the brackets

So, we have

V = 6 + 4j - 3j + 2j²

Evaluate the like terms

V = 6 + j + 2j²

Hence, the voltage is 6 + j + 2j²

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Answer:

$104,750

Step-by-step explanation:

we just add 101,00 and 3,750 together since they are both being financed

Hopes this helps please mark brainliest

Answer:

Step-by-step explanation:

Thus if you are not allowed to repeat a digit the number of possible 4 digit numbers you can construct from 1,2,3,4 is 4 3 2 1 = 24.

The number of 4-digit numbers can you write if you can use only digits 1 and 2 is 16.

Given that, using only digits 1 and 2 form 4-digit numbers.

Digits are the single symbols used to represent numbers in Maths. For example, in number 89, 8 and 9 are two digits. Hence, the numerals such as 0, 1, 2, 3,4, 5,6,7,8,9, and 0 are the form of digits which are used to represent a combination of numbers and do arithmetic operations in our day to day life.

Here,

For the first digit you are picking from 2 digits.

For the second digit you are picking from 2 digits.

For the third digit you are picking from 2 digits.

For the fourth digit you are picking from 2 digits.

2×2×2×2=16

4-digit numbers

1111, 2111, 1211, 1121, 1112, 1221, 2112, 1122, 2211, 1212, 2121, 2221, 1222, 2122, 2212 and 2222.

Therefore, the number of 4-digit numbers can you write if you can use only digits 1 and 2 is 16.

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To make a kite, you need 222 wooden sticks and 1.5 square feet of paper. For a lamp, you need 12 wooden sticks and 88 square feet of paper.

Now, let's calculate the number of wooden sticks and square feet of paper needed for the kite and the lamp separately.

For the kite:
- Number of wooden sticks: 222
- Square feet of paper: 1.5

For the lamp:
- Number of wooden sticks: 12
- Square feet of paper: 88

it takes 222 wooden sticks and 1.5 square feet of paper to make a kite, while it takes 12 wooden sticks and 88 square feet of paper to make a lamp.

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The Hermite curve with four control points P0(0,0), P1(1,1), P2(2,-1), and P3(3,0) has tangent vectors P0'(1,1) and P3'(1,1) at the endpoints. To determine the intermediate points on the curve at t = 1/3 and t = 2/3, we can use the Hermite interpolation formula.

The Hermite interpolation formula allows us to construct a curve based on given control points and tangent vectors. In this case, we have four control points P0, P1, P2, and P3, and tangent vectors P0' and P3'.

To find the intermediate point at t = 1/3, we use the Hermite interpolation formula:

P(t) = \((2t^3 - 3t^2 + 1)P0 + (-2t^3 + 3t^2)P3 + (t^3 - 2t^2 + t)P0' + (t^3 - t^2)P3'\)

Substituting the given values:

\(P(1/3) = (2(1/3)^3 - 3(1/3)^2 + 1)(0,0) + (-2(1/3)^3 + 3(1/3)^2)(3,0) + ((1/3)^3 - 2(1/3)^2 + (1/3))(1,1) + ((1/3)^3 - (1/3)^2)(1,1)\)

Simplifying the equation, we can find the coordinates of the intermediate point at t = 1/3.

Similarly, for t = 2/3, we use the same formula:

\(P(2/3) = (2(2/3)^3 - 3(2/3)^2 + 1)(0,0) + (-2(2/3)^3 + 3(2/3)^2)(3,0) + ((2/3)^3 - 2(2/3)^2 + (2/3))(1,1) + ((2/3)^3 - (2/3)^2)(1,1)\)

Calculating the equation yields the coordinates of the intermediate point at t = 2/3.

In this way, we can use the Hermite interpolation formula to determine the intermediate points on the Hermite curve at t = 1/3 and t = 2/3 based on the given control points and tangent vectors.

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40% was the percentage change in price.

A value or ratio that may be stated as a fraction of 100 is referred to as a percentage in mathematics. If we need to compute a percentage of a number, we should divide it by its whole and then multiply it by 100. The proportion, therefore, refers to a component per hundred. Per 100 is what the term percent signifies. The letter "%" stands for it.

Given, The original price of the shirt is $50 but you paid $30 for it on sale

From the general formula of percentage change:

Percentage change = change in value / original value * 100

In our case,

Original value = 50

Change in values = 50 - 30

Change in values = 20

Percentage change = 20/50 * 100

Percentage change = 40

Therefore,  the percentage change in price was 40%.

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Charlie

Here, we want to check if polynomials is closed under subtraction or not

To check this, we proceed either ways, if the answer is same, then it is closed. If otherwise, then it is not

We have;

As we can see, both results are not equal

If subtraction was closed under polynomials, then the results of both should have been equal. This means Charlie is correct.

Option b. 0.496

we know that

f(x)=0.01(2^{x})

The average rate of change is equal to

\frac{f(b)-f(a)}{b-a}

where

a=3

b=8

f(a)=f(3)=0.01(2^{3})=0.08

f(b)=f(8)=0.01(2^{8})=2.56

Substitute

\frac{2.56-0.08}{8-3}

\frac{2.48}{5}

0.496

Answer:

3rs-16s-3

Step-by-step explanation:

6rs - 8s - 3 ( rs + 1) - 8s​

Distribute

6rs - 8s - 3rs + 3 - 8s​

Combine like terms

6rs -3rs   -8s  -8s  +3

3rs-16s-3

Answer:

A) -1.7 x 10^-4 D)-0.00017

Step-by-step explanation:

Since its negative in the base B and C wont work. The negative in the exponent means the decimal moves left which exclude E.

Answer:

A) -1.7 x 10^-4 D)-0.00017

Step-by-step explanation:

Since its negative in the base B and C wont work. The negative in the exponent means the decimal moves left which exclude E.

Step-by-step explanation:

Answer:

5cm³

Step-by-step explanation:

Volume of rectangular prism formula= L×W×H

1/2×4×5/2=

2×5/2=

10/2=

5cm³

The solution to a given word problem by writing it as an equation is k = 253/232

The process of expressing word problems in mathematical forms takes a logical and chronological approach while taking the variables and arithmetic operations given into consideration.

From the given information, to express the word problem in mathematical form, we have:

Making k the subject of the equation, we have:

k = 253/232

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The probability of a Type I error is 0.2 or 20%. This means that there is a 20% chance of rejecting the null hypothesis when it is actually true.

The power of a hypothesis test is the probability of rejecting the null hypothesis when the alternative hypothesis is true. In this case, the power of the test is given as 0.8, and the null hypothesis is that the true value of the parameter is 10, while the alternative hypothesis is that the true value is 8.

We are given the sample size, n = 25, and the standard deviation, σ = 4. To calculate the probability of a Type I error, we need to determine the significance level of the test, denoted by α.

The significance level is the probability of rejecting the null hypothesis when it is actually true. It is usually set before conducting the test, and commonly set at 0.05 or 0.01.

To calculate α, we can use the following formula:

α = 1 - power = 1 - 0.8 = 0.2

So, the probability of a Type I error is 0.2 or 20%. This means that there is a 20% chance of rejecting the null hypothesis when it is actually true.

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Answer:

3/5

Step-by-step explanation:

the fraction for this is 15/25 so you find the highest number that will go into both of the numbers, in this case, it would be 5. therefore, you divide 15 and 25 by 5 getting the answer of  3:5 which is the same as 3/5.

i am pretty sure this is how you do it. i am only in yr 8 so ye......

Answer:

3/5 should be the answer

Step-by-step explanation:

To plot a point within the solution region of the inequality y > |x-3| + 8, we can select a coordinate (x, y) that satisfies the inequality. The point (5, 14) is a valid solution within the solution region of the inequality y > |x-3| + 8.

By substituting the values of x = 5 and y = 14 into the inequality y > |x-3| + 8, we can verify if the point (5, 14) satisfies the inequality. Evaluating the absolute value expression |5-3|, we get |2| which is equal to 2.

Substituting the values, the inequality becomes:

14 > |2| + 8

14 > 2 + 8

14 > 10

Since 14 is greater than 10, the inequality y > |x-3| + 8 holds true for the point (5, 14). Therefore, (5, 14) lies within the solution region of the inequality.

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Answer:

27500

Step-by-step explanation:

meters are 100 times more than kilometers hope this helps:)

Using the cylindrical shell approach, the volume of the solid generated by rotating the region bordered by the curves y = x2, y = x + 2 about the line x = 3 is -133/18, or roughly -23.43 cubic units.

To find the volume of the solid obtained by rotating the region bounded by the curves y = x^2, y = x + 2 about the line x = 3, we can use the cylindrical shell method.

The cylindrical shell method involves integrating the circumference of infinitesimally thin cylinders and summing them up over the desired region.

Let's consider a vertical strip of width dx at a distance x from the line x = 3. The radius of this cylindrical shell is 3 - x (since we are rotating about x = 3), and its height is given by the difference between the upper and lower curves: (x + 2) - x^2.

The volume of this cylindrical shell is given by:

dV = 2π(x + 2 - x^2)(3 - x) dx

To find the total volume, we need to integrate this expression over the appropriate range. The region bounded by the curves is formed by the intersection points of y = x^2 and y = x + 2. Solving this system of equations:

x^2 = x + 2

x^2 - x - 2 = 0

Factoring the quadratic equation:

(x - 2)(x + 1) = z

x = 2 or x = -1

The region is bounded by x = -1 and x = 2. Therefore, the integral for the volume becomes:

V = ∫[from -1 to 2] 2π(x + 2 - x^2)(3 - x) dx

Expanding the expression inside the integral:

V = ∫[from -1 to 2] 2π(6 - 2x + 2x^2 - x - x^3) dx

V = 2π ∫[from -1 to 2] (-x^3 + 2x^2 - 3x + 6) dx

Integrating term by term:

V = 2π [(-1/4)x^4 + (2/3)x^3 - (3/2)x^2 + 6x] |[from -1 to 2]

Evaluating the integral at the limits:

V = 2π [(-1/4)(2^4) + (2/3)(2^3) - (3/2)(2^2) + 6(2)] - 2π [(-1/4)(-1^4) + (2/3)(-1^3) - (3/2)(-1^2) + 6(-1)]

V = 2π [(-1/4)(16) + (2/3)(8) - (3/2)(4) + 12] - 2π [(-1/4)(1) - (2/3)(1) - (3/2)(1) - 6]

V = 2π [(-4 + 16/3 - 6 + 12) - (-1/4 - 2/3 - 3/2 - 6)]

V = 2π [(32/3) - (-217/12)]

V = 2π [(384 - 651)/36]

V = 2π (-267/36)

V = -133π/18

Therefore, the volume of the solid obtained by rotating the region bounded by the curves y = x^2, y = x + 2 about the line x = 3 using the cylindrical shell method is -133π/18 or approximately -23.43 cubic units. Note that the negative sign arises due to the orientation of the region relative to

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Answer:

"is the same" means there's a = sign so we know that the equation starts with 16 = ...

1 2/10 times a number added to -8 is 1.2n + (-8) so the answer is the third option.

Answer:

16=1.2n+(-8)

Step-by-step explanation:

16 = 1 2/10 x + (-8)

...

x=20

In the given problem, random samples of four different models of cars were selected and the gas mileage of each car was measured. The results are shown below:21 226 22 725 21
Given that,The null hypothesis H0: All the population means are equal. The alternative hypothesis H1: At least one population mean is different from the others .

To find the hypothesis test, we will use the one-way ANOVA test. We calculate the grand mean (X-bar) and the sum of squares between and within to obtain the F-test statistic. Let's find out the sample size (n), the total number of samples (N), the degree of freedom within (dfw), and the degree of freedom between (dfb).
Sample size (n) = 4 Number of samples (N) = n × 4 = 16 Degree of freedom between (dfb) = n - 1 = 4 - 1 = 3 Degree of freedom within (dfw) = N - n = 16 - 4 = 12 Total sum of squares (SST) = ∑(X - X-bar)2
From the given data, we have X-bar = (21 + 22 + 26 + 25) / 4 = 23.5
So, SST = (21 - 23.5)2 + (22 - 23.5)2 + (26 - 23.5)2 + (25 - 23.5)2 = 31.5 + 2.5 + 4.5 + 1.5 = 40.0The sum of squares between (SSB) is calculated as:SSB = n ∑(X-bar - X)2
For the given data,SSB = 4[(23.5 - 21)2 + (23.5 - 22)2 + (23.5 - 26)2 + (23.5 - 25)2] = 4[5.25 + 2.25 + 7.25 + 3.25] = 72.0 The sum of squares within (SSW) is calculated as:SSW = SST - SSB = 40.0 - 72.0 = -32.0
The mean square between (MSB) and mean square within (MSW) are calculated as:MSB = SSB / dfb = 72 / 3 = 24.0MSW = SSW / dfw = -32 / 12 = -2.6667
The F-statistic is then calculated as:F = MSB / MSW = 24 / (-2.6667) = -9.0
Since we are testing whether at least one population mean is different, we will use the F-test statistic to test the null hypothesis. If the p-value is less than the significance level, we will reject the null hypothesis. However, the calculated F-statistic is negative, and we only consider the positive F-values. Therefore, we take the absolute value of the F-statistic as:F = |-9.0| = 9.0The p-value corresponding to the F-statistic is less than 0.01. Since it is less than the significance level (α = 0.05), we reject the null hypothesis. Therefore, we can conclude that at least one of the population means is different from the others.

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The solution of the given linear system of equations is x = 2, y = 1 and z = 2.

Given that the linear system of equations is

2x + 4y + 2z = 16-2x - 3y + z = -52x + 2y - 3z = -3

To solve the system of equations by Cramer's rule method, arrange them in the form of Ax = B as below:

A = [2, 4, 2; -2, -3, 1; 2, 2, -3], x = [x, y, z] and B = [16, -5, -3]

To find the inverse of the coefficient matrix A⁻¹, first, find the determinant of A as below:

|A| = 2[-3 - 2] - 4[-2 + 2] + 2[-8 + 1] = -12

The determinant is non-zero, hence A is invertible

A⁻¹ = 1/|A| [adj A]

where adj A is the transpose of the cofactor matrix [C] of A:

adj A = [C]T

So, we find [C] by replacing each element of A with its cofactor and taking its transpose matrix as below:

C = [5, 2, 6; 2, -2, 2; -4, -4, -4]

Then [C]T = [5, 2, -4; 2, -2, -4; 6, 2, -4]So, A⁻¹ = 1/|A| [adj A] = 1/(-12) [5, 2, -4; 2, -2, -4; 6, 2, -4] = [-5/6, -1/2, 1/2; -1/6, 1/2, 1/2; 1/2, 1/2, 1/2]

To solve the system of equations, we have x = A⁻¹B as below:

x = [-5/6, -1/2, 1/2; -1/6, 1/2, 1/2; 1/2, 1/2, 1/2][16; -5; -3] = [2; 1; 2]

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Answer:

Q19 - x = 7

Q20 - x = 24

Step-by-step explanation:

Q19.

75 + x + 8 = 90°

83 + x = 90°

x = 90 - 83

x = 7

{CHECK: 75 + 7 + 8 = 90°}

Q20.

3x - 6 + x = 90°

4x - 6 = 90°

4x = 96

x = 96 / 4

x = 24

{CHECK: 3(24) - 6 + 24 = 90°}

hope this helps...

have a great day ahead ;)

Answer:

Step-by-step explanation:

15/3 + 3 =

15/3 + 9/3 =

24/3 =

8

2(15) + 3              30 + 3                    33

-------------  =       --------------   =     ----------------

   3                           3                      3

33/ 3 =

11

mark me brainliest :D

Answer:

I believe it would be 14.

Step-by-step explanation:

The distance between 7 and -7 should be 14.

The length of NO is 14 units

Distance between two points is the length of the line segment that connects the two points in a plane.

The formula to find the length is given by:

d =√((x2 – x1)² + (y2 – y1)²)

We:

N= (7,-4) : x1 = 7 , y1 = -4

O = (-7,-4): x2 = -7 , y2 = -4

Using the formula with the given values:

d=√((-7 – 7)² + (-4 – (-4))²)

d=√((-14 )² + (0)²)

d=√196

d= 14

Therefore, the length of NO is 14 units

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Answer:

x = -4

Step-by-step explanation:

4(2-x)=24

8 - 4x = 24

-4x = 16

x = -4

Let's check

4(2 -( -4)) = 24

4 (6) = 24

24 = 24

So, x = -4 is the correct answer!

Answer:

x=4

Step-by-step explanation:

4(2-x)=24

4*2= 8   4*x = 4x

8-4x = 24

24-8 = 16

4x = 16

16/4 = 4

x=4

Answer:

11r+2

Step-by-step explanation:

combine the two numbers with the same variable and then leave the 2 by itself, that would be 4r+7r=11r and then bring the 2 down that makes 11r+2

1. the gradient between (1,4) and (4,19) is:

(19 - 4) / (4 - 1) = 15 / 3 = 5

2. The gradient between (3,9) and (5,5) is:

(5 - 9) / (5 - 3) = -4 / 2 = -2

3. The gradient between (-3,4) and (-1,18) is:

(18 - 4) / (-1 + 3) = 14 / 2 = 7

Answer:

10/4 = 5/2 and 15/6

2/5 = 4/10 and 14/35

4/6 = 2/3 and 6/9

3/8= 6/16 and 9/24

We have solved the equation AB=BC for A, assuming that A, B, and C are square matrices and B is invertible, then the solution is A=C B⁻¹.

First, let's take a look at the equation AB=BC. This is an equation that involves matrices, which are essentially rectangular arrays of numbers. In this case, we have three matrices: A, B, and C. The equation tells us that the product of A and B is equal to the product of B and C.

Now, we want to solve this equation for A. This means that we want to isolate A on one side of the equation and have everything else on the other side. To do this, we can use matrix algebra.

One property of matrices is that we can multiply both sides of an equation by the inverse of a matrix without changing the solution. Since we know that B is invertible, we can multiply both sides of the equation by B⁻¹, the inverse of B:

AB B⁻¹ = BC B⁻¹

Now, we can simplify the left side of the equation, because B times its inverse gives us the identity matrix I:

A I = C B⁻¹

Again, we can simplify the left side of the equation, because anything multiplied by the identity matrix stays the same:

A = C B⁻¹

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