Use the​ slope-intercept form to graph the equation
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Part 1
Use the graphing tool to graph the line. Use the slope and​ y-intercept when drawing the line.

Answer:

a.25

b.26

c. Eva as her unit rate is faster than Sarah

ask me if u want me to explain

Answer:

x = -21

Step-by-step explanation:

The first you have to do is distribut the -8 to the -14 and x. Once you do that, you get 280 = 112 - 8x. Next, you need to subtract 112 from each side, so you get 168 = -8x. Now, you divide -8 from each side and you get -21 = x. Hope this helps!

Answer: y = -4.4

              y = -3.8

              y = -3.2

Step-by-step explanation:

the expected value of the largest value in the sample is:

np​.​random​.​uniform​(​0,​1,​100)

this question is about random samples from the uniform(0,1) distribution.

recall that for a sample of size mm from a uniform(0,1) distribution

the expected value of the largest value in the sample is:

np​.​random​.​uniform​(​0,​1,​100)

import numpy as np

pass the random uniform generated array into x

x = np random uniform(low, high, size)

here low = 0, high = 1, size = 100

x = no. random uniform(0,1,100)

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Answer:

72[tex]units^{2}[/tex]

Step-by-step explanation:

See pictures

Answer:

Yes the other person is correct

Step-by-step explanation:

oop their answer got deleted

my bad

The trigonometric expression sin(30°) + cos(60°) is equal to 1.

What is trigonometry?

Trigonometry is the study of relationships between angles and side lengths of triangles. The use of geometry in astronomical studies gave rise to the field in the Hellenistic era in the third century BC. Greek mathematicians focused on chord calculation, whereas Indian mathematicians created the earliest tables of values for trigonometric ratios (also known as trigonometric functions), such as sine.

There are two trigonometric ratios in the given expression,

sin(30°) and cos(60°).

Here, sin(30°) is equal to the value 1/2

i.e. sin(30°) = 1/2

And, cos(60°) is equal to the value 1/2

i.e. cos(60°) = 1/2

Adding these equations, we get

sin(30°) + cos(60°) = 1/2 + 1/2 = 2/2 = 1

therefore, on solving the given trigonometric expression we get answer value 1.

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The surface area of the cuboid with the, height of the cuboid being 5m, the width being 2m, and the length being 10m is 160[tex]m^{2}[/tex]

Add the areas of each of the cuboid's six faces to determine its surface area. Additionally, we can label the prism's length (l), width (w), and height (h), and then calculate its surface area using the formula SA=2lw+2lh+2hw.

As we know:

Height =5m

Width= 2m

Length= 10m

T.S.A=2(LXW) + 2(LXH) + 2(WXH)

=2(10mx2m) + 2(10mx5m) + 2(2mx5m)

=(2x20m²) + (2x50m²) + (2x10m²)

=40m² + 100m² + 20m²

=160m²

Cuboid's surface area, which was determined using the formula 2lw+2lh+2hw, is 160 square meters.

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The linear equation in the form p = mn + b that gives the price p they can change charge for n- shirts is; p = (9/1000)n - 9.

As per the given question;

number of shirts = n

The charge per shirt = p.

The equation describing the relation is;

p = mn + b

The price of 6000 shirts = $81.

Put the value is equation;

81 = 6,000m + b  .....eq 1

The price of 10,000 shirts = $45.

45 = 10,000m + b .....eq 2

Solving eq 1 and eq 2 by elimination method.

m = 9/1000

Put the value of m in eq 2 and find b.

b = -9

Now, put the value of b and m in the equation.

p = (9/1000)n - 9

Thus, the equation in the form p = mn + b that gives the price p they can change charge for n shirts is; p = (9/1000)n - 9.

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The statement "The sum of the slopes of line b and c is 0" is not always true.

Given:

Lines a and b are parallel.

Line c is perpendicular to both line a and line b.

The reason is that a perpendicular line has a slope of -1 /m when one line has a slope of m. Alternatively put, the slopes are negative reciprocals of one another.

This is because two lines that are parallel have the same slope.

This is because even if the two lines are perpendicular on adding their slopes together the outcome would not be 0. For instance, if b has a slope of 2, then c will have a slope of -1/2, and their sum will be 3/2.

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The true statement is the range of Mrs Plum's class is 14 greater than the range of Mr Scarlet's class.

A box plot is a graph that is used to describe a dataset. A box plot is made up of two lines and a box. The two lines are known as whiskers.

The end of the first whisker represents the minimum number and the end of the second whisker represents the maximum number. The difference between the whiskers is the range.

Range is used to measure the variation of a dataset. It is the difference between the maximum number and the minimum number.

Range = maximum number - minimum number

Range of Miss Scarlet's class = 98 - 65 = 33

Range of Miss Plum's class = 98 - 51 = 47

Difference in range = 47 - 33 = 14

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This questions is testing the knowledge on place value and total value.

The two to the left of the 2 in the tens place is 100 times larger than the 2 in the 100ths place in the value.

The total value of the 2 in the tens position is 20.

The total value of the 2 in the tenth position is 0.2.

To obtain the difference, divide the 20 in the tens position to the 2 in the tenths position.

20/0.2 = 100

the 2 in the tens place represents 100 times what the 2 to its left represents.

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For a confidence interval, she would use her sample mean, hence the mean of 6.7 pounds.

In the context of this problem, we use the t-distribution instead of the z-distribution, as we have the standard deviation for her sample.

The bounds of the confidence interval are given according to the following rule:

[tex]\overline{x} \pm t\frac{s}{\sqrt{n}}[/tex]

In which the parameters are defined as follows:

From the first bullet point, we get that she should use her sample mean for the calculation of the confidence interval, that is, the mean of 6.7 pounds should be used.

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Answer:

42

Step-by-step explanation:

This triangle is right angled so we know it has a 90-degree angle at the corner with the box.

All angles add up to 180 in a triangle.

180 = 90 + 48 + x

180 - 90 = 48 + x

90 - 48 = x

x = 42

Hope that helps

Answer:

B) Observational

Explanation:

Observational studies are studies where the researchers only observe the variables and don't make changes. When the political pollster reports the percentage, it only observes the decision of the people but they can't change what makes a person select one candidate or the other.

With a 95% confidence interval, the average is between 13.4667 and 26.5333.

Confidence interval is the measure of the degree of uncertainty or certainty in a sampling method. It is equal to the sample mean, plus or minus the margin of error (z value multiplied by standard deviation divide by the square root of the sample size).

CI = x ± z(σ/√n)

where CI = confidence interval

x = mean

σ = standard deviation

n = sample mean

z = z value at the confidence interval

The corresponding z value at 95% confidence interval is 1.96.

Substitute the given into the formula and solve for CI.

CI = x ± z(σ/√n)

CI = 20 ± (1.96)(10/√9)

CI = 20 ± (1.96)(10/3)

CI = 20 ± 6.5333

CI = (13.4667, 26.5333)

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Answer: 5= 4x + 8

             -8           -8

-3= 4x

the answer is x = 0.75

i don't know if I'm right if I am not I am sorry

Answer:

(x + 2)² - 11, so a = 2 and b = 11

The diagram for the angle of depression is constructed.

The angle of depression is defined as "an angle made between the horizontal line as well as the line of sight whenever a watcher looks directly down at an object." The term "angle of depression" refers to the following:

For the given question;

The height of the cliff is 300 m.

The distance of the table from the cliff is 600 m.

The angle of depression is 30 degrees.

Thus, the diagram for the angle of depression is made.

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Answer:

-3x+y = -3

Step-by-step explanation:

First, I would write this in the point slop form of a line and the translate it into the standard form of a line.

[tex]y_{1}[/tex] - y = m([tex]x_{1}[/tex] -x)  If the slope from of a line.  Put in the x, y and the slope.  You call the gradient, what I would call the slope.

y - 3 = 3(x -2)    Distribute the 3

y - 3 = 3x -6  Subtract 3 from both sides

-3x + y - 3 = -6  Add 3 to both sides

-3x + y = -6

Step-by-step explanation:

y = kx

3 = k × 12

.: k = 12/3 = 4

Inputting that to when y = 96 Ibs.

We have:

96 = 4 × x

96 = 4x

.: x = 96/4

x = 24 realms.

Using mathematical operations, yes Mrs. Davis and her two sisters can get hair coloured under $100 including $10, and their actual cost will be $96.85.

So, the total cost of hair coloring:

Now, calculate as follows:

Therefore, using mathematical operations, yes Mrs. Davis and her two sisters can get hair coloured under $100 including $10, and their actual cost will be $96.85.

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The complete question is given below:
Could Mrs.Davis and her two sisters get their hair colored for less than $100 if they include a $10 tip explain also the cost is $28.95 for the hair coloring.

An operation in mathematics is a function that converts 0–n parameters or operands into a definite output value. The complexity of the operation depends on how many operands there are. The expression is equal to -5.97.

An operation in mathematics is a function that converts 0–n parameters or operands into a definite output value. The complexity of the operation depends on how many operands there are.

The operations that are most frequently studied are binary operations (i.e., operations of arity 2), which include addition and multiplication, and unary operations (i.e., operations of arity 1), which include additive inverse and multiplicative inverse. A zero-arity operation, also known as the nullary operation, is a constant. An illustration of a ternary operation, also known as an operation of arity 3, is the mixed product.

Usually, it is considered that the arity is constrained. Even so, infinitary operations are occasionally considered, in which case the "normal" finite dimensionality operations are referred to as finiteary operations.

A partial operation is described as being similar to an operation but using a partial function in place of a function.

[tex](a-b)^{2} = a^{2}+b^{2}-2ab[/tex]

[tex](\sqrt{10} - \sqrt{9})^{2}[/tex])= [tex](\sqrt{10}) ^{2} + (\sqrt{9) } ^{2} - 2* \sqrt{10} * \sqrt{9}[/tex]

                    = 10+ 9- 18.97

                    =-5.97

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Football scores of Ali and Mohammad are 213 and 207 respectively.

Given,

Sum of Ali and Mohammad's football score is 420.

Difference between Ali's football score and Mohammad's football score is 6.

Then,

A - B = 6  ⇒Equation1

Where A = Ali's football score, and B= Mohammad's football score

Let's assume,

Ali's football score =

Mohammad's football score =

Sum of Ali's football score and Mohammad's football score:

A + B = 420 ⇒Equation2

After subtracting Equation2 from Equation 1

(A+B) - (A-B) = 420 - 6

A + B - A + B = 414

Since first A is positive and second A is negative, they will cancel out each other.

2B = 414

B = 207

After putting value of B in Equation2,

A + 207 = 420

A = 420- 207

A = 213

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The inequality shows that the number of visits that Janelys needs at least 165 points for a free movie ticket is 12.

From the information, Janelys has a points card for a movie theater and she receives 20 rewards points just for signing up and earns 12.5 points for each visit to the movie theater.

The number of visits that are needed to earn at least 165 points will be illustrated as x. This will be:

20 + 12.5x >= 165

Collect like terms

12.5x >= 165 - 20

12.5x >= 145

Divide

x >= 145 / 12.5

x >= 11.6

Therefore, she needs at least 12 visits.

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Janelys has a points card for a movie theater. She receives 20 rewards points just for signing up. She earns 12.5 points for each visit to the movie theater. She needs at least 165 points for a free movie ticket. How may visits are needed?

The equation of the new function g(x) is g(x) = 2 - |x+2|

Transformation is. way of changing the position of an object on an xy-plane.

Given the parent function  f(x) = |x+3|.

If the function is translated 2 units down and 1 unit right, then the resulting function will be |x+3 - 1| - 2 which is equivalent to  |x+2| - 2

The reflection of the resulting function across the x-axis is given as:

g(x) = -(|x+2|-2)

g(x) = 2 - |x+2|

Hence the new function g(x) if the parent function undergo the transformation is g(x) = 2 - |x+2|

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Answer:

Step-by-step explanation:

A=25xB
B=18xC
A=3600cm

B=A/25
B=3600/25
B=144
C=B/18
C=144/18
C=8

Answer:

D 5

Step-by-step explanation:

Solve the inequality

5-2x ≥-3

Subtract 5 from each side

5-2x-5 ≥-3-5

-2x ≥-8

Divide by -2, remembering to flip the inequality

-2x/-2 ≤-8/-2

x ≤4

The only number not less than or equal to 4 in the choices is 5.

5 is not a solution

Answer:

Answer D is correct

Step-by-step explanation:

First, let us solve for x.

[tex]5 - 2x \geqslant - 3[/tex]

First, subtract 5 by both sides.

[tex] - 2x \geqslant - 3 - 5 \\ - 2x \geqslant - 8[/tex]

Divide both sides by -2.

[tex]x \leqslant 4[/tex]

Now, let us identify the equality sign and write the solutions of it.

[tex] \sf \leqslant \: \: \rightarrow \: \: x \: is \: less \: than \: or \: equals \: to \: 4[/tex]

Solutions

x = { 4, 3, 2, 1, 0...}

Accordingly, as 5 is greater than 4, 5 is not a solution for this given inequality.

The capacity of 9 cm cylinder is 435 mililiters.

The capacity of 3 cm cylinder is 145 mililiters.

For the given question;

The capacity of larger cylinder; 15 cm height is 725 millilitres.

Volume of 15 cm height cylinder = 725 cu. cm.

Thus,

πr²h = 725

Put h = 15 cm

πr²15 = 725

r² = 725/ 15π

r² = 145/3π

The volume of 9 cm cylinder =   πr²9

Put the value of r² = 145/3π

V(h = 9 cm) =  π×145×9/3π

V(h = 9 cm) = 435 cu. cm.

The volume of 3 cm cylinder =   πr²3

Put the value of r² = 145/3π

V(h = 3 cm) =  π×145×3/3π

V(h = 3 cm) =  145 cu. cm.

The capacity of 9 cm cylinder is 435 mililiters.

The capacity of 3 cm cylinder is 145 mililiters.

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