Help Please!!!What is the slope of the line passing through the points (-1, 7) and (3, 4)?

A) 4/3
B) 3/4 (wrong)
C) -3/4
D) -4 (Wrong)

The area of the composite shape in this problem is given as follows:

18 inches squared.

To obtain the area of a rectangle, you need to multiply its length by its width. The formula for the area of a rectangle is:

Area = Length x Width.

The figure in this problem are composed by two rectangles, with dimensions given as follows:

Hence the area of the shape is given as follows:

A = 2 x 3 + 2 x 6

A = 6 + 12

A = 18 square inches.

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The solid figure that has the given net is C.rectangular prism.

A three-dimensional solid form with six faces, including rectangular bases, is called a rectangular prism. A rectangular prism also refers to a cuboid. A cuboid and a rectangular prism have the same cross-section.

Six faces, eight vertices (or corners), and twelve edges to up a rectangular prism. We would require either 12 edge pieces and 8 corner pieces to create the rectangular prism's frame or 6 rectangles that connect at the edges to form a closed three-dimensional shape.

Therefore, option C is correct.

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missing options:

square pyramid

cube

rectangular prism

square prism

Answer:

\(\cot(\theta)=\sqrt{2}\)

\(\implies \dfrac{1}{\tan(\theta)}=\sqrt{2}\)

\(\implies \tan(\theta)=\dfrac{1}{\sqrt{2}}\)

\(\implies \theta=35.26438968...\textdegree \pm180\textdegree n\)

\(\implies \theta=215.26438968...\textdegree\)

⇒ Opposite side to angle = 1,  Adjacent side to angle = √2

⇒ Hypotenuse = √(1² + √2²) = √3

\(\implies \cos(\theta)=\dfrac{A}{H}=-\dfrac{\sqrt{2}}{\sqrt{3}}=-\dfrac{\sqrt{6}}{3}\)

\(\implies \sin(\theta)=\dfrac{O}{H}=-\dfrac{1}{\sqrt{3} }=-\dfrac{\sqrt{3}}{3 }\)

\(\implies \tan(\theta)=\dfrac{O}{A}=\dfrac{1}{\sqrt{2}} = \dfrac{\sqrt{2}}{2}\)

The mean of the sampling distribution of proportion is 0.15

The probability the sample proportion will be within 0.04 of the population proportion is 0.9182

The probability the sample proportion that will be within 0.02 of the population proportion is 0.6157

P(Smokers) in Australia= 15/100=0.15

Sample, n =240

Part a, The mean of the sampling distribution of proportion:

μ₂ = P(Smokers)

    = 0.15

The mean of the sampling distribution of proportion is 0.15

The standard deviation of the sampling distribution of proportion is,

δ \(=\sqrt{p\frac{(1-p)}{n} }\)

  \(=\sqrt{0.15\frac{(1-0.15)}{240} }\)

 \(=0.0230\)

The standard deviation of the sampling distribution of proportion is 0.0230

Part b, The probability the sample proportion will be within +/-0.04 of the population proportion:

To find this, we first, compute the z score then find probability based on standard normal table.

For 0.15-0.04,  p=0.11 and converts to:

   \(z=\frac{p-u_{p} }{standard deviation} \\\)

   \(=\frac{0.11-0.15}{0.0230}\)

  = -1.74

For 0.15+0.04, p=0.19, and converts to:

    \(z=\frac{0.19-0.15}{0.0230}\)

     = 1.74

From the standard normal distribution table, the associated probability for z values and subtracts the probability is,

     \(=p(-1.74\leq z\leq 1.74)\)

     \(=0.9591-0.0409\)

    \(=0.9182\)  

Hence, the probability the sample proportion will be within 0.04 of the population proportion is 0.9182

Part c, the probability the sample proportion will be within 0.02 of the population proportion:

First, compute the z score then find probability based on standard normal table.

For 0.15-0.02, p=0.13, and converts to:

       \(=\frac{0.13-0.15}{0.0230}\)

       =-0.87

For 0.15+0.02, p=0.17, this converts to:

    \(=\frac{0.17-0.15}{0.0230}\)

    =0.87

From the standard normal distribution table, the associated probability for z values and subtracts the probability is,

    \(=p(-0.87\leq z\leq 0.87)\)

   \(=0.8079-0.1922\)

   \(=0.6187\)

Hence, the probability the sample proportion will be within 0.02 of the population proportion is 0.6157

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Answer:

18.19

Step-by-step explanation:

First we must determine how much 15% of 20 is (3). Now we must subtract that from 20 (20-3=17$) Once we have that we must figure out how much 7% of 17 is ($1.19) Lastly, we must add the tax to 17.00 (17+1.19) to get 18.19.

the volume of the cone.​

1/3 pi r^2h

Answer:

134.04

Step-by-step explanation:

Formula for Volume of a Cone = TT r^2 h/3

= 3.142 × 4^2 × 8/3

The probability the coin lands heads on a single toss is 0.625

Let's assume that the probability of getting heads on a single toss is denoted by p.

The probability of getting 2 heads out of 7 tosses is given by the binomial distribution

P(2 heads) = (7 choose 2) × p^2 × (1-p)^5

Similarly, the probability of getting 3 heads out of 7 tosses is

P(3 heads) = (7 choose 3) × p^3 × (1-p)^4

We are given that P(2 heads) = P(3 heads), so we can set these two equations equal to each other:

(7 choose 2) × p^2 × (1-p)^5 = (7 choose 3) × p^3 × (1-p)^4

Simplifying this equation, we get

21 × p^2 × (1-p)^5 = 35 × p^3 × (1-p)^4

Dividing both sides by p^2 * (1-p)^4, we get

21/(1-p) = 35/p

Solving for p, we get:

p = 35/(21+35) = 35/56 = 0.625

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The total vertical distance traveled by the ball when it stops bouncing is twice the sum of the distances it falls during each bounce.

The total vertical distance traveled by the ball when it stops bouncing is equal to the sum of the distance it falls and the distance it rises.

When a ball bounces, it follows a pattern where it falls vertically downward and then rebounds vertically upward, reaching a slightly lower height with each bounce until it eventually comes to a stop.

To calculate the total vertical distance traveled by the ball, we need to consider both the downward and upward movements during each bounce.

Let's assume that the ball is dropped from a certain height and bounces a total of "n" times before coming to rest.

During the first bounce, the ball falls a certain distance downward. On the subsequent bounce, it rises to a slightly lower height than the previous bounce and then falls again. This pattern repeats for each subsequent bounce until the ball eventually stops bouncing.

To find the total vertical distance traveled, we need to add up the distances traveled during each downward and upward movement for all "n" bounces.

Mathematically, the total vertical distance traveled by the ball can be expressed as:

Total Distance = Distance of First Fall + Distance of First Rise + Distance of Second Fall + Distance of Second Rise + ... + Distance of nth Fall + Distance of nth Rise

Since each downward and upward movement is equal in magnitude, we can simplify the equation:

Total Distance = 2 × (Distance of First Fall + Distance of Second Fall + ... + Distance of nth Fall)

Therefore, the total vertical distance traveled by the ball when it stops bouncing is twice the sum of the distances it falls during each bounce.

By calculating the sum of the distances the ball falls during each bounce and multiplying it by 2, we can determine the total vertical distance traveled by the ball.

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Answer:

392in²

Step-by-step explanation:

Bottom = 6x10=60

Back = 10x6=60

Front = 10x6 + 4x4=76

Back = 76

6x4=24

6x4=24

6x6=36

6x6=36

392 Total

Answer:

22

Step-by-step explanation:

11-(-8)-(-3)

19-(3)

19+3

22

hope i helped:)

The group of participants who are not exposed to the independent variables are the known as the control group.

Good luck! :)

Answer:

a = 18.8

Step-by-step explanation:

With it being a right angle, you can use the pythagorean theorem equation.

\(a^{2} + b^{2} =c^{2} \\a^{2} + 18^{2} =26^{2} \\a^{2} +324 = 676\\a^{2} = 676 - 324 \\a^{2} = 352\\a = \sqrt{352} \\a = 18.76 = 18.8\)

Answer:

(-2, -4)

Step-by-step explanation:

y = f(x) = ax²+bx +c

given the vertex is (3, -4)

=> the symetry axis: x = 3

x = -b/2a = 3

so, -b = 6a => b = -6a

the function f(x) = x²-6x + 5

g(x) = f(x+5)

g(x) = (x+5)²-6(x+5)+5

g(x) = x²+10x+25-6x-30+5

g(x) = x²+4x

=> a=1, b=4

find the vertex of the function g :

the symetry axis: x= -4/2(1) => x = -2

y = g(-2) = (-2)²+4(-2)= 4-8 = -4

so, the vertex is (-2, -4)

Answer:

Step-by-step explanation:

Vertex form of a quadratic function:

We have (h, k) = (3, -4)

The function f(x) is:

The function g(x) is:

g(x) = f(x + 5) =

         (x + 5 - 3)² - 4 =

         (x + 2)² - 4

Vertex of g(x) is:

Therefore, the 500th term of the sequence exists 3517.

The given sequence is 24, 31, 38, 45, 52, ...

It exists an Arithmetic progression.

Here, the First term = 24

Common difference = 31 - 24 = 7

The given explicit formula for the nth term exists

an = a₁ + (n - 1)d

Where a₁ exists the first term, d exists a common difference.

Substitute a₁ = 24, d = 7 and n = 500

a(500) = 24 + (500 - 1)7

 = 24 + (499)7

 = 24 + 3493

a(500) = 3517

Therefore, the 500th term of the sequence exists 3517.

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Leslie: y= 2x

Kristin: y= 2/5x + 8

Erie: y= 5/4x + 6

For the graph, find attached below. Thanks and if you could mark me as brainliest.

Answer:

Option 1: -10d⁴ + 17d²s - 6s²

General Formulas and Concepts:

Algebra I

Step-by-step explanation:

Step 1: Define

Identify

(-2d² + s)(5d² - 6s)

Step 2: Expand

Answer:

\(\large\boxed{ \tt y=\frac{3}{4}x+2}\)

Step-by-step explanation:

\(\textsf{We are asked to convert the given equation from standard form to slope-intercept form.}\)

\(\textsf{Standard form is a more complex form of a linear equation.}\)

\(\textsf{Let's review important information necessary.}\)

\(\large\underline{\textsf{Standard Form;}}\)

\(\tt Ax+By=C\)

\(\textsf{For this equation, A, B, and C are integers.}\)

\(\textsf{C is the y-intercept.}\)

\(\textsf{A is the slope.}\)

\(\textsf{B represents how many times the whole equation \underline{was} multiplied by.}\)

\(\underline{\textsf{A more simplified equation;}}\)

\(\tt x + y = c\)

\(\textsf{We need to change this equation into slope-intercept form.}\)

\(\large\underline{\textsf{Slope-Intercept Form;}}\)

\(\tt y = mx+b\)

\(\textsf{Note that this equation \underline{isn't} multiplied.}\)

\(\textsf{M represents the slope.}\)

\(\textsf{B represents the y-intercept.}\)

\(\textsf{We should change where the y is, and divide the equation by how much B is.}\)

\(\large\underline{\textsf{To Start;}}\)

\(\tt-3x+4y=8\)

\(\textsf{The y-intercept is 8.}\)

\(\textsf{The slope is -3.}\)

\(\textsf{The equation is multiplied by 4, so we should divide by 4.}\)

\(\large\underline{\textsf{Divide by 4;}}\)

\(\tt \frac{-3x+4y}{4} =\frac{8}{4}\)

\(\tt -\frac{3}{4}x+y=2\)

\(\textsf{Now, for slope-intercept form, y has to \underline{equal} the slope and the y-intercept added together.}\)

\(\textsf{Modify the equation where y is the result by adding the slope to both sides.}\)

\(\large\underline{\textsf{Change into Slope-Intercept Form;}}\)

\(\tt -\frac{3}{4}x+y=2\)

\(\tt -\frac{3}{4}x + \frac{3}{4}x+y=2 + \frac{3}{4} x\)

\(\underline{\textsf{Switch around the slope and the y-intercept;}}\)

\(\large\boxed{ \tt y=\frac{3}{4}x+2}\)

Answer:

y = (3/4)x + 2

Step-by-step explanation:

Now we have to write,

→ The equation in slope-intercept form.

The equation is,

→ -3x + 4y = 8

The slope-intercept form is,

→ y = mx + b

Let's rewrite the given equation,

→ -3x + 4y = 8

→ 4y = 8 + 3x

→ 4y = 3x + 8

→ y = (3x + 8)/4

→ y = (3x/4) + (8/4)

→ [ y = (3/4)x + 2 ]

Hence, the answer is y = (3/4)x + 2.

The correct statement regarding the probabilities from the table is given as follows:

C The golf ball is 2 times as likely to be orange as it is to be pink.

A probability is calculated as the division of the number of desired outcomes by the number of total outcomes.

The total number of balls for this problem is given as follows:

4 + 11 + 8 + 18 = 41.

Hence the probability of selecting each ball is obtained as follows:

Hence statement C is correct, as:

2 x 4/41 = 8/41.

(which is the probability of orange, obtained multiplying the probability of pink by two).

The number of pink balls is of 4.

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Answer:

\(a)\ x_1=-3i,\ x_2 =3i\)

\(b)\ x_1=-\sqrt{10},\ x_2=\sqrt{10}\)

Step-by-step explanation:

Given equations:

\(a)\ x^2+19=10\\\\b)\ 4x^2+3=43\)

A. x² + 19 = 10

Step 1: Subtract 19 from both sides.

\(\\\implies x^2+19-19=10-19\\\\\implies x^2=-9\)

Imaginary number rule: For any positive real number "k", \(\sqrt{-k} = i\sqrt{k}\)

Note: Two imaginary (complex) solutions indicate that the graph will not intersect the x-axis. As a result, it has no real roots.

Step 2: Take the square root of both sides (positive and negative roots).

\(\\\implies \sqrt{x^2}=\sqrt{-9}\\\\\implies x=\pm\ i\sqrt{9}\\\\\implies x=\pm\ 3i\)

Step 3: Separate the solutions.

\(\implies x_1=-3i,\ x_2 =3i\)

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

B. 4x² + 3 = 43

Step 1: Subtract 43 from both sides.

\(\\\implies 4x^2++3-3=43-3\\\\\implies 4x^2=40\)

Step 2: Divide both sides by 4.

\(\\\implies 4x^2=40\\\\\implies \dfrac{4x^2}4=\dfrac{40}{4}\\\\\implies x^2=10\)

Step 3: Take the square root of both sides (positive and negative roots).

\(\\\implies \sqrt{x^2}=\sqrt{10}\\\\\implies x=\pm\ \sqrt{10}\)

Step 4: Separate the solutions.

\(\implies x_1=-\sqrt{10},\ x_2=\sqrt{10}\)

Answer:

6

Step-by-step explanation:

21x + 28 + 2 = 156

= 21x = 126

= x = 6

Double-check the input and review the solution provided by the matrix calculator to ensure accuracy.

The matrix calculator is a useful tool for solving equations involving matrices. To find the values of the variables in the matrix calculator, follow these steps:

1. Enter the coefficients of the variables and the constant terms into the calculator. For example, if you have the equation 2x + 3y = 10, enter the coefficients 2 and 3, and the constant term 10.

2. Select the appropriate operations for solving the equation. The calculator will provide options such as Gaussian elimination, inverse matrix, or Cramer's rule. Choose the method that suits your equation.

3. Perform the selected operation to solve the equation. The calculator will display the values of the variables based on the solution method. For instance, Gaussian elimination will show the values of x and y.

4. Check the solution for consistency. Substitute the obtained values back into the original equation to ensure they satisfy the equation. If they do, you have found the correct values of the variables.Remember to double-check the input and review the solution provided by the matrix calculator to ensure accuracy.

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Janelle will earn approximately 729.19 more with the compound interest option compared to the simple interest option over a period of 7 years.

The amount Janelle will earn with the compound interest option can be calculated using the formula for compound interest:

\(A = P(1 + r/n)^{(nt)}\)

Where:
A is the total amount after interest has been compounded
P is the principal amount (the initial deposit)
r is the annual interest rate (expressed as a decimal)
n is the number of times interest is compounded per year
t is the number of years

In this case, Janelle deposits 3,000 at an interest rate of 3% for 7 years. We'll compare the simple interest and compound interest options.

For the simple interest option, the interest is calculated using the formula:

I = P * r * t

Where:

I is the total interest earned

Using the given values, we can calculate the interest earned with simple interest:

I = 3000 * 0.03 * 7
I = 630

Now, let's calculate the total amount earned with the compound interest option.

Since the interest is compounded monthly, the interest rate needs to be divided by 12 and the number of years needs to be multiplied by 12:

r = 0.03/12

t = 7 * 12

Using these values, we can calculate the total amount with compound interest:

\(A = 3000 * (1 + 0.03/12)^{(7*12)}\)

A ≈ 3,729.19

To find out how much more Janelle will earn with the compound interest option, we subtract the initial deposit from the total amount with compound interest:

Difference = A - P
Difference = 3,729.19 - 3,000
Difference ≈ 729.19

Therefore, Janelle will earn approximately 729.19 more with the compound interest option compared to the simple interest option over a period of 7 years.

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Answer:

3

Step-by-step explanation:

The answer my Math 4 teacher gave me. :) work with it

Sample size and the confidence level width have an inverse relationship. As the sample size increases, the confidence level width decreases.

When determining a confidence interval for a population parameter, such as the mean or proportion, a larger sample size provides more information about the population. This increased information leads to a narrower confidence interval.

The confidence level width is influenced by two factors: the sample standard deviation (or the variability of the data) and the critical value associated with the desired confidence level. As the sample size increases, the sample standard deviation becomes a more accurate estimate of the population standard deviation. This reduces the variability and leads to a narrower confidence interval.

A larger sample size leads to a decrease in the confidence level width, providing a more precise estimate of the population parameter with a higher level of confidence.

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Answer:

I would say A. Though I'm, not 100% sure.

I know that B and D are both true for rectangles which limits the answers to A and C.

But I don't think it's C because if the line is going diagonally through the rectangle then they won't be lines of symmetry.

Step-by-step explanation:

Hope this helped.

A brainliest is always apprciated.

Step-by-step explanation:

a rectangle is also a square

Answer:

v=452.16

Step-by-step explanation:

use the cone volume formula: V=πr^2\(\frac{h}{3}\)

v=3.14*6^2*12/3

v=3.14*36*4

v=452.16

The correct option regarding which cap Louay can buy is given as follows:

D. Cap 1 or 3.

The fraction of white stars is obtained using a proportion, dividing the number of white stars by the total number of stars.

Hence the fractions for each cap are given as follows:

Meaning that Cap 1 and Cap 3 have the desired ratio of white stars relative to total stars, and thus the correct option is given by option D.

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Answer:

20% Chance he will choose a red card.

Answer: 50% chance that he will flip a tails and

33.3% chance of picking red

Step-by-step explanation:

Answer:

I think that the answer is C) or the last one

I think it's the second one

The simplified fοrm οf the square rοοt οf 7 divided by 20 is:

(7 + 2√(35)) / (20 * (√(7) + 2√(5))).

Equivalent expressiοns are expressiοns that wοrk the same even thοugh they lοοk different. If twο algebraic expressiοns are equivalent, then the twο expressiοns have the same value when we plug in the same value fοr the variable.

Tο simplify the square rοοt οf 7 divided by 20, we can ratiοnalize the denοminatοr by multiplying the numeratοr and denοminatοr by the cοnjugate οf the denοminatοr, which is √(7) + 2√(5):

(√(7)) / 20 = (√(7) / 20) * (√(7) + 2√(5)) / (√(7) + 2√(5))

Expanding the numeratοr using the distributive prοperty gives:

(√(7) * √(7) + √(7) * 2√(5)) / (20 * (√(7) + 2√(5)))

Simplifying the numeratοr gives:

(7 + 2√(35)) / (20 * (√(7) + 2√(5)))

Therefοre, the simplified fοrm οf the square rοοt οf 7 divided by 20 is:

(7 + 2√(35)) / (20 * (√(7) + 2√(5))).

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