equations that represent a line which is perpendicular to the line y=-1/8x+3

The correct option is B. The students knew whether or not music was playing while they were taking the exam

Given,

The class was split into two groups.

The first group took the midterm exam while background music was playing, and the second group took the exam without any background music.

In a blind experiment, any information that might affect the subjects is kept secret until the experiment is over. The pupils in this instance are aware of their group membership.

In order to answer this question, an experiment is carried out to see how music affects learning. One group of students studies while background music is playing, while the other group does not.

However, because of the background music playing here, the pupils are aware of which group they belong to. The experiment's outcomes are impacted by this.

Therefore the correct option is B. The students knew whether or not music was playing while they were taking the exam.

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Based on the plot, the number of practice puzzles per week that members solve if they finish the contest puzzle

in one hour is c 4

The line of best fit for the scatter plot shows that there is a positive correlation between the number of practice puzzles solved per week and the time it takes to solve a contest puzzle. This means that as the number of practice puzzles solved per week increases, the time it takes to solve a contest puzzle decreases.

If a member finishes a contest puzzle in one hour, they are on the line of best fit. This means that they solve approximately 4 practice puzzles per week.

The other options are incorrect. Option a is too high, option b is too low, and option d is not on the line of best fit.

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Answer: $90.77

Step-by-step explanation:

Just did the test

The desk cost $90.76 after Depreciation rate.

The depreciation rate is the proportion at which an asset depreciates during its anticipated useful life. It may also be described as the portion of an organization's long-term investment in an asset that the organisation claims as a tax-deductible expense over the course of the asset's useful life.

Given:

A desk is purchased for $277.

In one year the  depreciation rate is 20% per year.

So, In one year depreciation amount

= 20% of 277

= $55.4

After 2nd year

= 221.6 - 20% of 221.6

= $177.28

After 3rd year

= 177.28- 20% of 117.28

= $141.824

After 4th year

= $113.4592

After 5th year

= 113.4592 - 20% of 113.4592

= $90.76

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Answer:

6 cups

Step-by-step explanation:

Answer:

$16.67

Step-by-step explanation:

$19.38*14%=$2.71

$19.38-2.71=$16.67

One possible solution within this region is (10, 4), which means Samantha buys 10 bags of popcorn and 4 pretzels.

Let's start by defining our variables:

The first condition is that Samantha must buy at least 14 bags of popcorn and pretzels altogether:

x + y ≥ 14

The second condition is that she must buy no more than 14 pretzels:

y ≤ 14

Next, we need to consider the cost constraint. Each bag of popcorn costs $9 and each pretzel costs $5. If Samantha buys x bags of popcorn and y pretzels, her total cost will be:

9x + 5y ≤ 110

Now, we have a system of inequalities:

To graph this system, we can start by graphing each inequality separately:

For x + y ≥ 14, we can graph the line x + y = 14. To do this, we can plot two points on this line: (0, 14) and (14, 0), and draw a straight line passing through these two points.

For y ≤ 14, we can draw a horizontal line at y = 14.

For 9x + 5y ≤ 110, we can rearrange the inequality to get:

y ≤ (-9/5)x + 22

This is the equation of a line with a slope of -9/5 and a y-intercept of 22. We can plot two points on this line: (0, 22) and (12.22, 0), and draw a straight line passing through these two points.

Now, we can shade the region that satisfies all three inequalities. The shaded region will be the area that is above the line x + y = 14, below the line y = 14, and to the left of the line y = (-9/5)x + 22.

One possible solution within this region is (10, 4), which means Samantha buys 10 bags of popcorn and 4 pretzels.

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Answer:

x will be equal to 1 because 1 is bigger than 0 but smaller than 2

therefore x=1

Answer:

\(Area = 153.938040026m^2\)

\(Circumference= 43.9822971503m\)

Step-by-step explanation:

Area

\(Area = \pi r^2\\Area = \pi *7^2\\Area = 49\pi\\Area = 153.938040026\)

Circumference

\(C = 2\pi r\\C = 2\pi*7\\C= 14\pi\\C=43.9822971503\)

The expression is factorized to give (x + 7) and (x + 7)

Factorization described a mathematical methods that consists of writing a number or mathematical object as a product of several other factors that are mostly simpler or smaller objects of the same kind.

Given the quadratic equation;

x² + 14x +49

Find the pair factors of 49 that sum up to 14, the numbers are 7 and 7

Now, substitute the numbers in the expression

x² + 7x + 7x + 49

Make into two expressions, we have;

(x² + 7x) + (7x + 49)

factor out the common terms, we get;

x(x + 7)+ 7(x + 7)

Then, we have;

(x + 7)

(x + 7)

Hence, the factorized form is (x + 7) and (x + 7)

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Answer:

$3.77 is the tax. Total is $57.62 is you buy it.

Step-by-step explanation:

Answer:

3.77

Step-by-step explanation:

Sales price x sales tax rate = sales tax

53.85 x .07 (7%) =  3.77

Answer:

0.663

Step-by-step explanation:

Answer:

0.633

Step-by-step explanation:

The total money spent on a pass and lunch for each student is $850.14.

In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication, and division.

here,

As mentioned in the question, Passes for 28 pupils and 4 teachers cost the school $778.88 and the school also spends $241.64 on lunch for kids only.

Total number of person  = 28 + 4
                                     = 32
Cost per pass = 778.88 / 32
                     = $24.34
Total passes of students = 25 × 24.34 = 608.5
Total spend on lunch of student = 241.64
Total spend on lunch = 241.64 + 608.5 = $850.14

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Answer:

237.5

Step-by-step explanation:

Answer:

m= 0, -0.2

Step-by-step explanation:

that's what I got when I did it

Answer:

Step-by-step explanation:

200m^4 + 80m^3 + 8m^2 = 0

~Factor

8m²(5m + 1)(5m + 1) = 0

~Set everything to equal 0 and solve

8m² = 0 → m² = 0 → m = 0

5m + 1 = 0 → 5m = -1 → m = -1/5

5m + 1 = 0 → 5m = -1 → m = -1/5

Best of Luck!

The rate (in km/h) at which the distance from the plane to the radar station is increasing a minute later is 0 km/h (rounded to the nearest whole number).

To solve this problem, we can use the concepts of trigonometry and related rates.

Let's denote the distance from the plane to the radar station as D(t), where t represents time. We want to find the rate at which D is changing with respect to time (dD/dt) one minute later.

Given:

The plane is flying with a constant speed of 360 km/h.

The plane passes over the radar station at an altitude of 1 km.

The plane is climbing at an angle of 30°.

We can visualize the situation as a right triangle, with the ground radar station at one vertex, the plane at another vertex, and the distance between them (D) as the hypotenuse. The altitude of the plane forms a vertical side, and the horizontal distance between the plane and the radar station forms the other side.

We can use the trigonometric relationship of sine to relate the altitude, angle, and hypotenuse:

sin(30°) = 1/D.

To find dD/dt, we can differentiate both sides of this equation with respect to time:

cos(30°) * d(30°)/dt = -1/D^2 * dD/dt.

Since the plane is flying with a constant speed, the rate of change of the angle (d(30°)/dt) is zero. Thus, the equation simplifies to:

cos(30°) * 0 = -1/D^2 * dD/dt.

We can substitute the known values:

cos(30°) = √3/2,

D = 1 km.

Therefore, we have:

√3/2 * 0 = -1/(1^2) * dD/dt.

Simplifying further:

0 = -1 * dD/dt.

This implies that the rate at which the distance from the plane to the radar station is changing is zero. In other words, the distance remains constant.

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Answer:

302.4 days

Step-by-step explanation:

You bring back 10 every 2 weeks, then the rate is:

R = (10 people)/(2 weeks) = (10/2) people per week = 5 people per week.

This means that you bring back 5 people per week.

Now, you have 216 people, and you bring back 5 of them each week, then the amount of people that you have as a function of time, w, in weeks, is:

P(w) = 216 - 5*w

You will have them all back when:

P(w) = 0

Then we can solve it for w:

P(w) = 0 = 216 - 5*w

5*w = 216

w = 216/5 = 43.2

the time is 43.2 weeks.

We could write this in days, because we know that each week has 7 days, then 43.2 weeks is equal to 43.2 times 7 days, this is:

(43.2)*7 days = 302.4 days

The equation of the line d that is parallel to line c is y = -5x + 4.

The equation of a line in slope intercept form can be represented as follows:

y = mx + b

where

Therefore, c has an equation y = -5x + 3. Line d is parallel to line c. Therefore, they have the same slopes. Parallel lines have the same slope.

Hence, let's find the equation of line d passing through (2, -6)

Let's find the y-intercept

-6 = -5(2) + b

-6  = -10 + b

b = -6 + 10

b = 4

Therefore, the equation of the line d is y = -5x + 4

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Answer:

see explanation

Step-by-step explanation:

the sum of the interior angles of a polygon is

sum = 180° (n - 2) ← n is the number of sides

a hexagon has 6 sides , then

sum = 180° × (6 - 2) = 180° × 4 = 720°

12

the polygon has 5 sides , so

sum = 180° × (5 - 2) = 180° × 3 = 540°

sum the interior angles and equate to 540

y + 90 + 120 + 90 + 110 = 540

y + 410 = 540 ( subtract 410 from both sides )

y = 130

13

the polygon has 7 sides , so

sum = 180° × (7 - 2) = 180° × 5 = 900°

sum the interior angles and equate to 900

p + 90 + 141 + 130 + 136 + 123 + 140 = 900

p + 760 = 900 ( subtract 760 from both sides )

p = 140

Notice that the figure is symmetrical across the x-axis, thus, the transformation is a reflection over the x-axis

Answer:

1) r = 32

2) symbol is '÷'

3) h = 15/19

Step-by-step explanation:

\(\text {Hello! Let's Solve this Problem!}\)

\(\text {Because we are rounding to the nearest billions place we would under the 8}\)\(\text {and point an arrow to the number next to it which is 4.}\)

\(\text {If the number is 5 or more we raise the score. 4 or less let is rest. This means}\)\(\text {that if the number is 5 or more we add 1. If the number is 4 or below the}\)\(\text {number stays the same.}\)

\(\text {5 is greater than 4 so this means 4 stays the same.}\)

\(\text {Your Answer Would Be:}\)

\(\huge\boxed {\text {B) 8,4000,000,000}}\)

\(\text {Best of Luck!}\)

Answer:

B

D

D

Step-by-step explanation:

please verify and rate 5 stars and say thank you

Answer:

$15.48

Explanation:

100 ÷ 6.46 = 15.479876

Answer:

Sydney is incorrect

Step-by-step explanation:

We cannot start adding Tanks A and B because they have a different denominator.

So we have to find the Least Common Denominator (LCD)

The LCD is 18 so...

\(\frac{2}{3} =\frac{12}{18}\)  

I'm sorry I gtg to class...

The coordinates of the vertices for the image of the pre image is translated 4 units right are: ’(-1, 2), B’(5, 3), and C’(1, 0).

Translation on the coordinate plane is sliding a point or figure in any direction without any changes in size or shape.

During translation, the coordinates of the vertices of a figure or point change, and they slide left or right, up, or down without changing size or shape.

Given the question above, we need to find the coordinates of the vertices for the image of the pre image that are translated 4 units right.

So,

\(\rightarrow\sf \boxed{\boxed{-5+4=1=\bold{(-1,2)}}}\)

\(\rightarrow\sf \boxed{\boxed{1+4=5=\bold{(5,3)}}}\)

\(\rightarrow\sf \boxed{\boxed{-3+4=1=\bold{(1,0)}}}\)

Thus, the coordinates of the vertices for the image of the pre image is translated 4 units right are: ’(-1, 2), B’(5, 3), and C’(1, 0).

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Answer:

Now x is equals to 11

-2(11) + 1 = - 22 + 1 = - 21

The answer is - 21

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Answer:

157°

Step-by-step explanation:

Sum of interior angles of polygon

(n-2)*180 ---- n = total number of sides

7 angles, 7 sides

5*180 = 900

final angle will be

900-162-115-125-138-105-98

=157

Answer:

157

Step-by-step explanation:

it is obvious that it's a heptagon

so (n-2) x180

n=7

(7-2) x 180 =900

900-162-115-125-138-105-98

900-743=157

final unknown=157°