the equation of a line is y = 4x + 8

what is the y-intercept of the line?

Answer:

−0.42857142857

Step-by-step explanation:

hope this helps

Janice will spend $3.00 on 3 pounds of potatoes. If she only has $3.00, she will spend it all on potatoes and purchase 3 pounds of potatoes.

a) 3 pounds of potatoes

b) 3 pounds of potatoes

A pound is defined as 16 ounces, 7,000 grains (or 0.45359237 kg) of avoirdupois weight and 12 ounces, 5,760 grains (or 0.37324171216 kg) of troy and apothecaries' weight. The initials "lb" come from the Latin word "libra," which was the Roman equivalent of the modern "pound."

Janice can get potatoes once the price is set. As a result, she will buy those potatoes whose value is less than her willingness to pay. Her disposition to pay is what she feels the pound of potatoes is "worth". If the worth of the primary, second, and third pounds exceeds the price of the potato ($1.50, $1.14, $1.05 > $1.00), Janice will not purchase these because the worth is less than the price. (0.30 USD 1.00 USD).

Thus, Janice will spend $3.00 on 3 pounds of potatoes. If she only has $3.00, she will spend it all on potatoes and purchase 3 pounds of potatoes.

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The length of the curve given by r(t) = ⟨2sin(t), 5t, 2cos(t)⟩, for -8 ≤ t ≤ 8, is determined using the arc length formula. The arc length of the curve is 16√29.

Part 1:

To find the length of the curve, we use the formula L = ∫ab √(f'(t))² + (g'(t))² + (h'(t))² dt or L = ∫ab ∣r'(t)∣ dt. We need to find the components of r'(t).

Part 2:

For r(t) = ⟨2sin(t), 5t, 2cos(t)⟩, we differentiate each component to find r'(t) = ⟨2cos(t), 5, -2sin(t)⟩. Using the formula for the magnitude, we have ∣r'(t)∣ = √(2cos(t))² + 5² + (-2sin(t))² = √(4cos²(t) + 25 + 4sin²(t)) = √(29).

Part 3:

The arc length from t = -8 to t = 8 is obtained by integrating ∣r'(t)∣ over this interval:

∫-8^8 √29 dt = 16√29.

Therefore, the arc length of the curve is 16√29.

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Answer:

B) 4

Step-by-step explanation:

It would be 4 because when you cross multiply 16*x and 1*64, you get 4/1.

Answer:

4

Step-by-step explanation:

I got it right

Step-by-step explanation:

3x+1 = 5x-1

3x+2= 5x

2x= 2

x= 1

Answer:

29cm

Step-by-step explanation:

a radius is half of a diameter so half of 58cm  is 29cm.

i hope this helps have a good day

The values of x, y and z for the right triangle are: x = √6, y = 3, and z = √10 respectively.

The perpendicular height of the right triangle divides the triangle in two triangles with the same proportions as the original triangle.

√15/(y + 2) = y/√15 {opposite/adjacent}

y(y + 2) = (√15)² {cross multiplication}

y² + 2y = 15

y² + 2y - 15 = 0

by factorization;

(y - 3)(y + 5) = 0

y = 3 or y = -5

by Pythagoras rule:

(√15)² = x² + y²

15 = x² + 3²

x = √(15 - 9)

x = √6

z² = (√6)² + 2²

z = √(6 + 4)

z = √10

Therefore, the values of x, y and z for the right triangle are: x = √6, y = 3, and z = √10 respectively.

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I need help too ;-; some one plsssssssss

A fraction represents a part of a whole.40/70, 21/70 are the same fractions like 4/7 and 3/10 with same denominator.

A fraction represents a part of a whole

We need to write 4/7 and 3/10 with the same denominator

The given fractions are 4/7 and 3/10

in 4/7

If numerator and denominator is multiplied with 10

4/7*10/10

we get

40/70

i.e 4/7=40/70

Now

in 3/10

If numerator and denominator is multiplied with 10

3/10*7/7

we get

21/70

i.e 3/10=21/70

Therefore 4/7=40/70 and 3/10=21/70 are two fractions with same denominator.

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Vertical asymptotes is x = -4 and horizontal asymptote is y = 1

What is an Asymptote?

An asymptote is a line that a curve approaches but never touches. A line where the graph of a function converges is known as an asymptote.

There are 3 types of asymptotes.

The given expression,

f(x) = (x² - 3x) / (x² + x - 12)

First, find Horizontal asymptote

so,

Horizontal asymptote (y) = (leading coefficient of numerator) / (leading coefficient of denominator)

leading coefficient of numerator = 1

leading coefficient of denominator = 1

y = 1/1

y =1 (Horizontal asymptote)

Now, find Vertical asymptote

so, let's simplify the expression f(x) = (x² - 3x) / (x + x - 12)

f(x) = (x(x - 3) ) / (x² + 4x - 3x - 12)

f(x) = (x(x - 3) ) / (x(x + 4) - 3 (x + 4) )

f(x) = (x(x - 3) ) / ( (x -3) (x + 4) )

f(x) = x / (x + 4)

Now, put the denominator = 0

x + 4 = 0

x = -4 ( Vertical asymptote )

Hence, Vertical asymptotes is x = -4 and horizontal asymptote is y = 1

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Answer:

c = -22, 22

Step-by-step explanation:

\( {(x - 11)}^{2} = {x}^{2} - 22x + 121\)

\( {(x + 11)}^{2} = {x}^{2} + 22x + 121\)

The equation written in slope-intercept form withn a slope of -5 and a y-intercept of 5 is y = -5x + 5

intercept is a point on the y-axis, through which the slope of the line passes. It is the y-coordinate of a point where a straight line or a curve intersects the y-axis. This is represented when we write the equation for a line, y = mx+c, where m is slope and c is the y-intercept.

equation of straight line in slope intercept form is given as

y = mx + c

where m = slope and c = y-intercept

from the question, it means m = -5 and c = 5

substituting we have,

y = -5x + 5

In conclusion, the equation in slope-intercept form is y = -5x + 5

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The mean score is greater in Judy's class compared to Ken's class

The mean value in a set of numbers is the middle value, calculated by dividing the total of all the values by the number of values.

Mean = Sum of Values / Number of Values

Given data ,

Let the mean of the value be represented as M

Now , the test scores of Ken's class be

K = { 72, 78, 83, 84, 85, 87, 92 }

And , the test scores of Judy's class be

J = { 76, 78, 85, 87, 89, 92, 98 }

And , the mean value of Ken's class = ( 72 + 78 + 83 + 84 + 85 + 87 + 92 ) / 7

The mean score of Ken's class = 581/7 = 83

The mean score of Judy's class = ( 76 + 78 + 85 + 87 + 89 + 92 + 98 ) / 7

The mean score of Judy's class = 605 / 7

The mean score of Judy's class = 86.428

So , the mean score in Judy's class is greater than Ken's class

Hence , the mean score is calculated

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When a postal worker counts the number of complaint letters received by the united states postal service in a given day, the type of data collected is quantitative.

Quantitative data is data that can be measured and expressed in numbers. In this case, the number of complaint letters received by the United States Postal Service in a given day can be measured and expressed as a number.

Qualitative data, on the other hand, is data that cannot be measured or expressed in numbers. For example, the contents of the complaint letters would be qualitative data.

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Answer:

hello! v=8cm³ :) hope this helps

Answer:

A.

Step-by-step explanation:

The mean of a set of numbers, sometimes simply called the average , is the sum of the data divided by the total number of data.

The measure of the inscribed angle is equal to 90 degrees

The inscribed angle theorem mentions that the angle inscribed inside a circle is always half the measure of the central angle or the intercepted arc that shares the endpoints of the inscribed angle's sides. In a circle, the angle formed by two chords with the common endpoints of a circle is called an inscribed angle and the common endpoint is considered as the vertex of the angle.

In this problem, the side length of the square is 5 which forms 90 degrees to all the other sides.

The measure of the circumscribed angle is 90 degree

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Answer:

The GFC of 1/3 and 2/5 is 1

The probability that relay 1 functioned is 0.5000, rounded to four decimal places.

The probability that relay 1 functioned is calculated using Bayes' theorem. Bayes' theorem states that P(A|B) = P(B|A) * P(A) / P(B). In this case, A is the event of relay 1 functioning, and B is the event of current flowing when the relays were activated. Using this formula, we can calculate the probability that relay 1 functioned as follows:

P(A|B) = P(B|A) * P(A) / P(B)

P(A|B) = 1 * 0.5 / 1

P(A|B) = 0.5

Therefore, the probability that relay 1 functioned is 0.5000, rounded to four decimal places.

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Answer:

(8, 6 )

Step-by-step explanation:

Given the 2 equations

2x + 3y = 34 → (1)

3x + 2y = 36 → (2)

Multiplying (1) by 3 and (2) by - 2, then adding will eliminate the x- term

6x + 9y = 102 → (3)

- 6x - 4y = - 72 → (4)

Add (3) and (4) term by term to eliminate x, that is

5y = 30 ( divide both sides by 5 )

y = 6

Substitute y = 6 into either of the 2 equations and solve for y

Substituting into (1)

2x + 3(6) = 34

2x + 18 = 34 ( subtract 18 from both sides )

2x = 16 ( divide both sides by 2 )

x = 8

solution is (8, 6 )

We need to know the percentage of companies in the sample that are likely to require higher employee contributions in order to calculate the confidence interval.

Based on the information provided, we can calculate the margin of error and confidence interval for the proportion of companies likely to require higher employee contributions for health care coverage in the upcoming year. First, we need to know the sample size and the percentage of companies in the sample that are likely to require higher employee contributions. Unfortunately, this information is not given in the question. Without this information, it is impossible to calculate the margin of error and confidence interval. We need to know the sample size to determine the standard error of the proportion, which is necessary for calculating the margin of error. Additionally, we need to know the percentage of companies in the sample that are likely to require higher employee contributions in order to calculate the confidence interval.

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To find τ∘σ∘τ⁻¹, we need to apply the permutations in the given order. First, let's find σ∘τ. σ=(1345)(278) means that 1 maps to 3, 3 maps to 4, 4 maps to 5, 5 maps to 1, 2 maps to 7, 7 maps to 8, and 8 maps to 2.

τ=(164)(2583) means that 1 maps to 6, 6 maps to 4, 4 maps to 1, 2 maps to 5, 5 maps to 8, 8 maps to 3, and 3 maps to 2. Now, let's apply σ∘τ:

1 maps to 6 (σ∘τ),
6 maps to 4 (σ∘τ),
4 maps to 5 (σ∘τ),
5 maps to 1 (σ∘τ),
2 maps to 7 (σ∘τ),
7 maps to 8 (σ∘τ),
8 maps to 3 (σ∘τ),
3 maps to 2 (σ∘τ).

So, σ∘τ=(65418232).

Finally, to find τ∘σ∘τ⁻¹, we need to apply τ⁻¹ to σ∘τ. τ⁻¹=(164)(2583)⁻¹=(416)(5238) means that 1 maps to 4, 4 maps to 1, 2 maps to 5, 5 maps to 2, 3 maps to 8, and 8 maps to 3. Applying τ⁻¹ to σ∘τ, we get:

6 maps to 1 (τ⁻¹∘σ∘τ),
5 maps to 4 (τ⁻¹∘σ∘τ),
4 maps to 2 (τ⁻¹∘σ∘τ),
1 maps to 5 (τ⁻¹∘σ∘τ),
2 maps to 8 (τ⁻¹∘σ∘τ),
8 maps to 3 (τ⁻¹∘σ∘τ),
3 maps to 2 (τ⁻¹∘σ∘τ).
Therefore, τ∘σ∘τ⁻¹=(15452832).

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Londell needs to deliver newspapers for 24 weeks to have enough money to buy the bicycle.

Londell currently has $40 saved, and he needs a total of $400 to buy the bicycle. Each week, he earns $15 delivering newspapers.

To calculate the number of weeks Londell needs to work, we can set up an equation:

$40 (current savings) + $15 (weekly earnings) × (number of weeks) = $400 (total cost of the bicycle)

Simplifying the equation:

$40 + $15 = $400

Subtracting $40 from both sides of the equation:

$15 = $400 - $40

$15 = $360

Dividing both sides of the equation by $15:

= $360 / $15

≈ 24

Therefore, Londell will have to deliver newspapers for approximately 24 weeks to have enough money to buy the bicycle.

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Answer:

we assume the two boys lifted the same amount of weight of boxes. Let s be the weight of the boxes Steven lifted. Hence,

Step-by-step explanation:

13 ( s+12) = 15 s

where s + 12 means that the box lifted by Nathan weighed 12 more than that of Steven.

we solve,

s = 78 pounds

such that Nathan's is 90 pounds.

Based on the information given about the equation, it should be noted that the value of x will be 9/2.

FG = FM + MG

It should be noted that M is the midpoint

33 = 7x - 15 + 7x - 15

33 = 14x - 30

x = 63/14

x = 9/2 = 4.5

The value of x is 4.5

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Suppose M is the midpoint of line FG.. MG=7x-15, FG=33, x=?

Answers:

(a)  9 cm

(b)  2 cm

======================================

Work shown for part (a)

A = s^2

s = sqrt(A)

s = sqrt(81)

s = 9

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

Work shown for part (b)

P = 4s

s = P/4

s = 8/4

s = 2

The side length of the square with area of 81 cm² is :

The side of the square with the perimeter of 8 m is :

Solution:

We're given the area of a square : 81 cm².

To find one of its sides, we need to take the square root of that.

So we have:

\(\sf{Side\:length{\square}=\sqrt{81}} \\ \\ \sf{Side\:length\square=9}\)

We know that if we take the square root of 81, we will get two solutions: 9 and -9; however we cannot use -9, because having a negative side length is impossible.

__________________________

To find the side length when given the perimeter, we divide it by 4, because the formula for a square's perimeter is P = 4a.

So if we rearrange that for a, we will get : a = P/4.

where a = side length

Solving,

Answer:

the answer is the one in the bottom right corner

Answer:

cde

Step-by-step explanation:

thx everyone hahahhahaahha