what is the slope-intercept equation of the line shown below?

Answer:

4n-13

Step-by-step explanation:

Terms= -13 (constant)

Coefficient= 3, -5, 6

Like term= 3n, -5n, 6n

3n-13-5n+6n

3n+6n-5n-13

9n-5n-13

4n-13

Hope this helps ;) ❤❤❤

Hey there! :)

Answer:

4 /11.

Step-by-step explanation:

Given:

4 $1 bills

5 $10 bills

2 $5 bills

Add up the number of bills to find the total:

4 + 5 + 2 = 11 total bills.

The probability of pulling a 1 dollar bill would be expressed as:

# of $1 bills / total

Therefore:

4 / 11 would represent this situation.

Answer:

Lateral surface area would be (13*4)*2 + (4*4)*2 = (52*2) + (16*2) = 104 + 32 = 136 units^2.

Surface area would be 136 + 104 = 240 units^2.

Step-by-step explanation:

I hope this helps you!

Answer:

Step-by-step explanation:

A_n = a + (n-1)d

a_n = -2n + 3

when n=1

a_1 = a = -2(1) + 3 = -2 + 3 = 1

when n = 2

a-_2  = -2(2) + 3 = -4 +3 = -1

a_2 = a + d

therefore,

a + d = -1

d = -1 - a

d = - 1 - 1

d = -2

Therefore the sequence is ,

1 , -1, -3, -5, -7.......

The first 5 terms of the sequence are -3, -4, -3, -6, and -7.

An expression contains one or more terms with addition, subtraction, multiplication, and division.

We always combine the like terms in an expression when we simplify.

We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.

Example:

1 + 3x + 4y = 7 is an expression.com

3 + 4 is an expression.

2 x 4 + 6 x 7 – 9 is an expression.

33 + 77 – 88 is an expression.

We have,

To find the first 5 terms of the sequence, we can simply evaluate the formula for n = 1, 2, 3, 4, and 5.

For n = 1, we have:

a_1 = -(1) - 2 = -3 (not divisible by 3)

For n = 2, we have:

a_2 = -(2) - 2 = -4 (not divisible by 3)

For n = 3, we have:

a_3 = -2(3) + 3 = -3 (divisible by 3)

For n = 4, we have:

a_4 = -(4) - 2 = -6 (not divisible by 3)

For n = 5, we have:

a_5 = -(5) - 2 = -7 (not divisible by 3)

Therefore,

The first 5 terms of the sequence are -3, -4, -3, -6, and -7.

Learn more about expressions here:

https://brainly.com/question/3118662

#SPJ2

Answer:

The statistic is misleading because Christopher collects his sample from a population (voters in his state) and make inferences about another population (voters in his city).

Step-by-step explanation:

The statistic is misleading because Christopher collects his sample from a population (voters in his state) and make inferences about another population (voters in his city).

He should make inferences about the population that is well represented by his sample (voters in his state), or take a sample only from voters from his city to make inferences about them.

Answer:

a. 0.67

b. 1.31

Step-by-step explanation:

We have the following information n = 20, mean (m) = 10 and standard deviation (sd) = 3

a.

SE (m) = sd / n ^ (1/2)

replacing we have:

SE (m) = 3/20 ^ (1/2) = 0.67

Therefore the standard error of the mean is 0.67

b.

the critical value is obtained as shown below:

the level of sifnificance is alfa = 1 - 0.95 = 0.05

the critical value with level of significance alfa / 2 = 0.05 / 2 = 0.025

and to this value corresponds z = 1.96 (z table)

The margin of error with 95 confidence is calculated as follows:

E = z * SE

E = 1.96 * 0.67

E = 1.31

Therefore the margin of error is 1.31

(a) The standard error will be "0.67".

(b) The margin of error will be "1.31".

According to the question,

Standard deviation,

Sample size,

(a)

As we know,

→ The Standard error,

= [tex]\frac{sd}{\sqrt{n} }[/tex]

= [tex]\frac{3}{\sqrt{20} }[/tex]

= [tex]0.67[/tex]

(b)

As we know,

→ The margin of error,

= [tex]Z_{a/2}\times \frac{sd}{\sqrt{n} }[/tex]

By substituting the values, we get

= [tex]Z_{a/2}\times \frac{3}{\sqrt{20} }[/tex]

= [tex]1.96\times 0.67[/tex]

= [tex]1.31[/tex]

Thus the above response is right.

Learn more:

https://brainly.com/question/10501147

Answer:

Step-by-step explanation:

Area of a rectangle = l × w

where

l is the length

w is the width

The length is seven times the width is written as

l = 7w

Area of the rectangle = 175 cm²

7w × w = 175

7w² = 175

Divide both sides by 7

w² = 25

Find the square root of both sides

w = √25

w = 5cm

But l = 7w

l = 7(5)

l = 35cm

The length is 35cm

The width is 5cm

Hope this helps you.

Answer:

Step-by-step explanation:

x-4 greater or equal 0

x greater or equal 4

Answer:

The actual answer is x is greater than or equal to 6 (i used the answer that was on here and got it wrong so here is the correct answer!!)

just did the test on edg 2021

Answer:

H0: p = 3.5

H1: p < 3.5

Step-by-step explanation:

We are told that past studies have indicated that the percentage of smokers is estimated to be about 35%, but with the new smoking cessation programs that have been implemented, it is believed that the percentage of smokers has been reduced, we must propose our null and alternative hypotheses, which would be the following:

Null hypothesis: H0: p = 3.5

Alternative hypothesis: H1: p < 3.5

Answer:

A. Both functions are positive and decreasing on the interval.

Step-by-step explanation:

The table shows that f(x) decreases when x increases in the interval (0,3).

All the values of f(x) are positive in the interval (0,3).

For the exponential function that passes through the points (0, 27) and (3, 0), we also see that f(x) is decreasing when x increases: when x goes from 0 to 3, f(x) goes from 27 to 0.

Also all the values of f(x) are positive in the interval.

Then, both functions are positive and dereasing in the interval.

Answer:

A. Both functions are positive and decreasing on the interval.

Step-by-step explanation:

I did the test and I got it correct. Hope this helps. :DD

Answer:

no solution

Step-by-step explanation:

y=-1/2x+4

2y=-x-8, t=-1/2x-4

These are parallel so no solution

Answer:

The correct answer is no solution.

Step-by-step explanation:

y = -1/2x + 4

x + 2y = -8 → -1/2x + 4

The lines are parallel therefore, leaving us with no solution.

Hope this helped! :)

Answer:

[tex]\displaystyle \int {xe^{2x}} \, dx = \frac{e^{2x}}{2} \bigg( x - \frac{1}{2} \bigg) + C[/tex]

General Formulas and Concepts:

Calculus

Differentiation

Derivative Property [Multiplied Constant]:                                                           [tex]\displaystyle \frac{d}{dx} [cf(x)] = c \cdot f'(x)[/tex]

Basic Power Rule:

Integration

Integration Property [Multiplied Constant]:                                                         [tex]\displaystyle \int {cf(x)} \, dx = c \int {f(x)} \, dx[/tex]

U-Substitution

Integration by Parts:                                                                                               [tex]\displaystyle \int {u} \, dv = uv - \int {v} \, du[/tex]

Step-by-step explanation:

Step 1: Define

Identify

[tex]\displaystyle \int {xe^{2x}} \, dx[/tex]

Step 2: Integrate Pt. 1

Identify variables for integration by parts using LIPET.

Step 3: Integrate Pt. 2

Step 4: Integrate Pt. 3

Identify variables for u-substitution.

Step 5: Integrate Pt. 4

Topic: AP Calculus AB/BC (Calculus I/I + II)

Unit: Integration

Answer:

For this case we know that the price after the 12% of discount is 156 and we want to findd the net price so then we can use the following proportional rule:

[tex] \frac{x}{100} = \frac{156}{100-12}[/tex]

Where x represent the net price. And if we solve for the value of x we got:

[tex] x= 100 *\frac{156}{88}= 177.273[/tex]

So then the net price for this case would be $ 177.273

Step-by-step explanation:

For this case we know that the price after the 12% of discount is 156 and we want to findd the net price so then we can use the following proportional rule:

[tex] \frac{x}{100} = \frac{156}{100-12}[/tex]

Where x represent the net price. And if we solve for the value of x we got:

[tex] x= 100 *\frac{156}{88}= 177.273[/tex]

So then the net price for this case would be $ 177.273

Answer:

1. Vertex (-3,2)

A) (x+3)² + 5

B) (x-3)² + 2

C) (x-1)² -5

I hope these are all correct

Step-by-step explanation:

Answer:

Step-by-step explanation:

Discount = 35% of 45

               = 0.35 * 45

               = $ 15.75

a) Discount = $15.75

b) Amount need to paid after discount = Price of the item - discount

                                                                = 45 - 15.75

                                                                = $ 29.25

Answer:

The value of the radius is 4.46cm.

Step-by-step explanation:

Given the perimeter is 28 cm. So, if we want to find the radius then we should consider this perimeter as the circumference of the circle. Thus, we have to equate this value with the circumference (perimeter of the circle).

The perimeter of the circle or circumference = 2π r  

Here, π = 22/7

r = radius

Now, 2π r = 28

r = 28 / 2π

r = 4.46 cm

Answer and Step-by-step explanation:

Variance is the measurement of the spread bewteen the numbers of the data set and can be calculated by the formula:

σ² = ∑(x  - ⁻x)² / n

1) With the data, find its mean (⁻x) by adding all the values and dividing the sum by total number of elements the data has;

2) Subtract each value of the data to the mean;

3) Square the result of the subtractions;

4) Add the squares;

5) Divide the sum by the total number of elements of the set;

6) The result is the Variance (σ²);

Standard Deviation is the measure of how far the values of the data set are from the mean and it is the square root of Variance:

σ = [tex]\sqrt{(variance)^{2}}[/tex]

So, to calculate standard deviation, you just take the square root of the variance.

Answer:

The general term for the given sequence is:

[tex]a_n=(-1)^{n+1}\dfrac{n}{(n+1)^2}[/tex]

Step-by-step explanation:

The given series is:

[tex]\dfrac{1}4, - \dfrac{2}9, \dfrac{3}{16}, - \dfrac{4}{25}, ......[/tex]

First of all, let us have a look at the positive and negative sign of the sequence.

2nd, 4th, 6th ..... terms have a negative sign.

For this we can use the following

[tex](-1)^{n+1}[/tex]

i.e. Whenever 'n' is odd, power of (-1) will become even resulting in a positive term for odd terms i.e. (1st, 3rd, 5th ........ terms)

Whenever 'n' is even, power of (-1) will become odd resulting in a negative term for even terms i.e. (2nd, 4th, 6th ..... terms)

Now, let us have a look at the numerator part:

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

It is simply [tex]n[/tex].

Now, finally let us have a look at the denominator:

4, 9, 16, 25 ......

There are squares of the (n+1).

i.e. 1st term has a square of 2.

2nd term has a square of 3.

and so on

So, it can be represented as:

[tex](n+1)^2[/tex]

[tex]\therefore[/tex] nth term of the sequence is:

[tex]a_n=(-1)^{n+1}\dfrac{n}{(n+1)^2}[/tex]

Answer:

7

Step-by-step explanation:

Answer:

The 68% confidence interval is (6.3, 6.7).

The 95% confidence interval is (6.1, 6.9).

The 99.7% confidence interval is (5.9, 7.1).

Step-by-step explanation:

The Central Limit Theorem states that if we have a population with mean μ and standard deviation σ and take appropriately huge random-samples (n ≥ 30) from the population with replacement, then the distribution of the sample-means will be approximately normally distributed.

Then, the mean of the sample means is given by,

[tex]\mu_{\bar x}=\bar x[/tex]

And the standard deviation of the sample means (also known as the standard error)is given by,

[tex]\sigma_{\bar x}=\frac{\sigma}{\sqrt{n}} \ \text{or}\ \frac{s}{\sqrt{n}}[/tex]

The information provided is:

[tex]n=400\\\\\bar x=6.5\\\\s=4[/tex]

As n = 400 > 30, the sampling distribution of the sample-means will be approximately normally distributed.

(a)

Compute the 68% confidence interval for population mean as follows:

[tex]CI=\bar x\pm z_{\alpha/2}\cdot \frac{s}{\sqrt{n}}[/tex]

    [tex]=6.5\pm 0.9945\cdot \frac{4}{\sqrt{400}}\\\\=6.5\pm 0.1989\\\\=(6.3011, 6.6989)\\\\\approx (6.3, 6.7)[/tex]

The 68% confidence interval is (6.3, 6.7).

The margin of error is:

[tex]MOE=\frac{UL-LL}{2}=\frac{6.7-6.3}{2}=0.20[/tex]

(b)

Compute the 95% confidence interval for population mean as follows:

[tex]CI=\bar x\pm z_{\alpha/2}\cdot \frac{s}{\sqrt{n}}[/tex]

    [tex]=6.5\pm 1.96\cdot \frac{4}{\sqrt{400}}\\\\=6.5\pm 0.392\\\\=(6.108, 6.892)\\\\\approx (6.1, 6.9)[/tex]

The 95% confidence interval is (6.1, 6.9).

The margin of error is:

[tex]MOE=\frac{UL-LL}{2}=\frac{6.9-6.1}{2}=0.40[/tex]

(c)

Compute the 99.7% confidence interval for population mean as follows:

[tex]CI=\bar x\pm z_{\alpha/2}\cdot \frac{s}{\sqrt{n}}[/tex]

    [tex]=6.5\pm 0.594\cdot \frac{4}{\sqrt{400}}\\\\=6.5\pm 0.392\\\\=(5.906, 7.094)\\\\\approx (5.9, 7.1)[/tex]

The 99.7% confidence interval is (5.9, 7.1).

The margin of error is:

[tex]MOE=\frac{UL-LL}{2}=\frac{7.1-5.9}{2}=0.55[/tex]

Answer:

None of the above

Step-by-step explanation:

An inequality will only have a solid boundary line when it has ≤ or ≥. Since all of our answer choices have < or >, we will only have a dotted boundary line.

Answer:

y=-1/3x-1

Step-by-step explanation:

We have the information y=3x-5, the lines are perpendicular, and the new line passes through (6,-3). The slopes of perpendicular lines are negative reciprocals so you need to find the negative reciprocal of 3, so flip it to 1/3 and multiply by -1, we get the slope of the new line as -1/3. So far we have the equation y=-1/3x+b. We are given a point on the line, (6,-3), so we can plug these into the equation as x and y to solve for the y-intercept, b. You set it up as -3=-1/3(6)+b. First you multiply to get -3=-2+b, then you add 2 to both sides to isolate the variable and you get b=-1. Then you can use b to complete your equation with y=-1/3x-1.

Answer:

Step-by-step explanation:

g(x) = |x-3| is neither even nor odd; the graph is not symmetric about the y-axis (as characterizes even functions), and is not symmetric about the origin either.

g(x) = x + x is actually g(x) = 2x, which is an odd function.  The graph is symmetric about the origin.

Answer:

Step-by-step explanation:

A: 2 given sides and the given angle between them will produce 1 triangle.

B: The sum of angle is 190°. 0 triangles are possible.

C: An infinite number of triangles can have the given base and height.

D: The remaining side must be from the set {3, 4, 5}. 3 triangles are possible.

E: Leg lengths can be from the set {(2, 2), (2, 4), (2, 6), (2, 8), (4, 4)}. 5 triangles are possible.

__

1: An infinite number of triangles can have those angle measures.

2: The remaining side must have length 2. 1 triangle is possible.

3: The perimeter constrains the remaining side length to a value too short to form a triangle. 0 triangles are possible.

4: The remaining side length must be from the set {1, 2, 3, 4, 5}. 5 triangles are possible.

__

So, the matchups are ...

  1 -- C (an infinite number)

  2 -- A (1 triangle)

  3 -- B (0 triangles)

  4 -- E (5 triangles)

Answer:

See Explanation

Step-by-step explanation:

(a)For matrices A and C, given that: [tex]CA=I_n[/tex].

We want to show that Ax=0 has only the trivial solution

If Ax=0

Multiply both sides by C

[tex]C(Ax)=C \times 0\\\implies (CA)x=0$ (Recall: CA=I_n)\\\implies I_nx=0 $ (Since I_n$ is the n\times n$ identity matrix)\\\implies x=0[/tex]

This means that the system has only the trivial solution.

(b)If the system has more columns than rows, a free variable would occur when a column does not have a pivot. This would lead to a non-trivial solution.

Answer: k = 12

Step-by-step explanation:

x² + kx + 36 = 0

In order for x to have exactly one solution, it must be a perfect square.

(x + √36)² = 0

(x + 6)² = 0

(x + 6)(x + 6) = 0

x² + 6x + 6x + 36 = 0

x² + 12x + 36 = 0

 k = 12

Answer:

21

Step-by-step explanation:

Multiply 3 quarts to 7 hours

Which is 21

Mark me as brainliest

Step-by-step explanation:

Edith picks 3

Rupert picks 3

3 + 3 = 6 quarts of blueberries in 1 hour

6 blueberries = 1 hour

x. =. 7 hours

x = 7 hours ÷ 1 hour × 6 blueberries

x =. 42 quarts of blueberries

Answer:

8/9

Step-by-step explanation:

The proportion of the treasure which Johnny got [tex]= \dfrac{1}{3}[/tex]

The proportion of the treasure which  Elizabeth got [tex]=\dfrac{5}{9}[/tex]

Together, the proportion of the treasure which they got

[tex]= \dfrac{1}{3}+\dfrac{5}{9}[/tex]

Take the LCM of the denominators

LCM of 3 and 9 is 9.

Therefore:

[tex]\dfrac{1}{3}+\dfrac{5}{9} \\\\=\dfrac{3+5}{9}\\\\=\dfrac{8}{9}[/tex]

Together, Johnny and Elizabeth got 8/9 of the treasure.

Answer:

Step-by-step explanation:

Given:

AB║DC and BC║AE

To prove:

[tex]\frac{\text{BC}}{\text{EA}}=\frac{\text{BD}}{\text{EB}}[/tex]

                Statements                  Reasons

1). ∠ABE ≅ ∠CDB                    1). Alternate interior angles

2). ∠AEB ≅ ∠CBD                  2). Alternate interior angles

3). ΔCBD ~ ΔAEB                   3). AA property of similarity

4). [tex]\frac{\text{BC}}{\text{EA}}=\frac{\text{BD}}{\text{EB}}[/tex]                             4). Property of similarity [Corresponding sides                                                          of two similar triangles are proportional]

Answer:

B. 90

Step-by-step explanation:

angle of rotation = 360/4= 90