pls HELP QUICKLY!! WILL GIVE BRAINILEST!

What is the relationship between the lines with the following equations?

2x+8y=16

y=4x+7

The lines are perpendicular.
The lines are parallel.
The lines are neither parallel nor perpendicular.
The lines are the same

The ATI Capstone Comprehensive Assessment evaluation normally comprises of multiple-choice questions, with 90 to 130 possible answers. Certain versions may also include extra alternative questions kinds, such as fill-in-the-blank or select-all-that-apply

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Therefore, Mr. Lucas will need 150 cubic feet volume of soil to fill both gardens.

To calculate the amount of soil needed to fill both gardens, we need to find the total volume of the two prisms.

The volume of the first prism is given by length × height × width = 6 feet × 2 feet × 5 feet = 60 cubic feet.

The volume of the second prism is given by length × height × width = 9 feet × 2 feet × 5 feet = 90 cubic feet.

To find the total volume, we add the volumes of the two prisms:

Total volume = 60 cubic feet + 90 cubic feet = 150 cubic feet.

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Answer:

The answer is option B.

Step-by-step explanation:

Answer: D

Step-by-step explanation:

The histogram shows driving to work so A even though it looks like it may fit there is no way to assume they don’t drive at all

Hope this helps

Answer:

50; 25; 105

Step-by-step explanation:

Sum of the angles of triange is 180, so we have 2x + x + 2*2x + 5 = 180 (x is number of degrees of second angle), if I understood word 'twice' correctly.

Next, let me solve this:

2x + x + 4x + 5 = 180

7x + 5 = 180

7x = 175

x = 25

So, second angle is 25 degrees, first is 25*2=50 degrees and third is 50*2+5=105 degrees.

Hope that this was helpful.

Answer

Price of the 6 pounds of Trail Mix = 18 dollars

Explanation

Let the amount of raisins in 6 pounds of Trail Mix be x pounds.

And the amount of almonds in 6 pounds of Trail Mix be y pounds.

We know that the sum of x and y has to give 6 pounds.

x + y = 6

But we know that there are 2 more pounds of Raisins than Almonds in the 6 pounds of Trail Mix

x = y + 2

x + y = 6

y + y + 2 = 6

2y + 2 = 6

2y = 6 - 2

2y = 4

Divide both sides by 2

(2y/2) = (4/2)

y = 2

x = y + 2 = 2 + 2 = 4

So, we know that there are 4 pounds of Raisin and 2 pounds of Almonds in the 6 pounds of Trail Mix.

1 pound of Raisins = 2 dollars

4 pounds of Raisin = 4(2) = 8 dollars

1 pound of Almonds = 5 dollars

2 pounds of Almonds = 2(5) = 10 dollars

Price of 6 pounds of Trail Mix

= (Price of 4 pounds of Raisins) + (2 pounds of Almonds)

= 8 + 10

= 18 dollars

Hope this Helps!!!

Answer:

x=61 y=29

Step-by-step explanation:

On solving the provided question, we can say that -  the inverse of the given y = 3x+2, function is ( y - 2 )/3 = x

A function that "undoes" another function is known as an inverse function in mathematics. In other words, if f(x) generates y, then y set to f's reciprocal will result in x. . The inverse of the function f(x) = 2x + 3 is represented as f-1(x), which is equal to (x - 3)/2.

Here,

the given equation is -

function, f(x)  = 3x + 2

=> y = 3x+2

=> y-2 = 3x

=> ( y - 2 )/3 = x

so,

therefore the inverse of the given function is ( y - 2 )/3 = x

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The ability to order items in a sequence, such as longest to shortest, is known as Seriation.

Seriation is a cognitive skill that involves arranging objects, events, or ideas in a particular order or sequence. It is a crucial aspect of cognitive development and is typically acquired during early childhood. Seriation is the ability to mentally order objects along a quantitative dimension, such as size, weight, or length.

Seriation involves comparing and ordering items based on specific criteria. For example, if given a group of objects of different lengths, a child who has developed seriation skills will be able to arrange the objects in order from shortest to longest. Similarly, if given a group of numbers, a child who has developed seriation skills will be able to arrange them in order from smallest to largest.

Seriation is an important cognitive skill that is used in various areas of life, including academic, professional, and personal domains. It allows individuals to organize information and ideas in a logical and meaningful way, which can facilitate more efficient processing and understanding of complex concepts.

Overall, seriation is a fundamental cognitive skill that plays a crucial role in various aspects of life, including problem-solving, decision-making, and organization. It is an essential skill that supports the development of higher-order thinking skills, such as analysis, evaluation, and synthesis.

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9

Step-by-step explanation:

woody is 5

buzz is 3

mr potato head is 3

rex is 7

alien is 1

Based on the information given in the question, it is not clear whether the city locations are sampled uniformly at random from all the locations in the U.S. In order for a sampling method to be considered uniformly random, each possible location would have an equal chance of being chosen. Without additional information about how the locations were chosen, it is difficult to determine if the sample is truly random and uniform.

The maximum volume of a cone that can be carved from the foam cylinder is approximately 9.42 cubic inches.

Given data:

diameter = 3 inches

radius = r = 3 ÷ 2 = 1.5 inches

height = 4 inches

We need to find the maximum volume of a cone that can be carved from the foam cylinder. The volume of a cone is given by the formula:

V = \(\frac{1}{3}\pi r^2h\)

where:

V = volume

r = radius of the base

h = height

π = 3.14.

Substituting the r, h, and  π values in the formula, we get:

V = \(\frac{1}{3}\)π\(r^2\)h

V = \(\frac{1}{3}\) × π × (1.5)² ×(4)

V =  \(\frac{1}{3}\) × π × 2.25 ×(4)

V = 3 π

V = 9.42 cubic inches

Therefore, the maximum volume of a cone is 9.42 cubic inches.

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The statement describes the incidence measure of occurrence, which refers to the number of new cases of a disease or condition that occur in a defined population over a specific period of time.

This statement describes the incidence rate of flu among students living in Dunedin hostels.
The incidence rate is a measure of occurrence that calculates the number of new cases (in this case, students getting sick with the flu) in a specific population (150 students in Dunedin hostels) over a specific time period (3 months). This rate helps us understand the frequency at which the flu is affecting this particular group of students

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Answer:

add 18 to both sides, giving you 3x = 96

Answer:

y= 25/3 - x/3

Step-by-step explanation:

y= 25/3 - x/3

Answer:

Step-by-step explanation:

The distance between two points (-6, 3) and (3, -9) is 10.81 units.

We have a graph a right triangle with the two points A(-6,3) and B(3, -9) forming the hypotenuse.

We have find the distance between the two points using only the sides of the right triangle.

The distance between two points -

\(d = \sqrt {\left( {x_1 - x_2 } \right)^2 + \left( {y_1 - y_2 } \right)^2 }\)

According to the question, we have -

Coordinates of Point A = (- 6, 3)

Coordinates of Point C = (3, -9)

Now -

Coordinates of Point B will be (- 6, -9) [formed by the intersection of sides].

\(AB = \sqrt {\left( {-6 - (-6) } \right)^2 + \left( {3 - (-9 } \right)^2 }\)  = 6 units

\(BC = \sqrt {\left( {-6 - 3 } \right)^2 + \left( {-9 - (-9 } \right)^2 }\) = 9 units

Using the Pythagoras theorem -

\((AC)^{2} =(AB)^{2} +(BC)^{2}\)

\((AC)^{2} =\) 36 + 81

AC = \(\sqrt{117}\) = 10.81

Hence, the distance between two points (-6, 3) and (3, -9) is 10.81 units.

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the boat will travel 70 kilometers in 3.5 hours when moving at a rate of 20 kilometers per hour.

To calculate the distance traveled by a boat, we can use the formula: Rate x Time = Distance.

In this case, the rate of the boat is 20 km per hour, and the time is 3.5 hours.

Using the formula, we have:

Distance = Rate x Time

Distance = 20 km/h x 3.5 hours

Calculating the result:

Distance = 70 km

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\(\displaystyle\sum_{n=1}^{10}~8(2^{n-1})\implies \sum_{n=1}^{10}~8(2^n\cdot 2^{-1})\implies \sum_{n=1}^{10}~8\cdot 2^n\cdot \cfrac{1}{2}\implies \sum_{n=1}^{10}~4\cdot 2^n \\\\\\ \displaystyle 4\sum_{n=1}^{10}~2^n\implies 4\cdot \begin{array}{llll} 2^1&2\\ 2^2&4\\ 2^3&8\\ 2^4&16\\ 2^5&32\\ 2^6&64\\ 2^7&128\\ 2^8&256\\ 2^9&512\\ 2^{10}&1024\\\cline{1-2} &2046 \end{array}\implies 4(2046)\implies 8184\)

Answer:

$6291.70

Step-by-step explanation:

You have the equation and a value to solve for. So, plug this in to get m = 2500 + 0.05(75,834) = 2500 + 3791.70 = $6291.70.

The ponderal index cannot be computed without the value of the constant "a" in the formula. Therefore, the ponderal index for a person who is 76 inches tall and weighs 192 pounds cannot be determined.

To compute the ponderal index, we need the formula and the value of the constant "a."

a) The formula for the ponderal index is given as I = a, where I represents the ponderal index and a is a constant. However, the value of the constant "a" is missing in the provided information. Without knowing the value of "a," we cannot compute the ponderal index for a person who is 76 inches tall and weighs 192 pounds.

b) Similarly, without knowing the value of the constant "a," we cannot determine the weight of a man who is 77 inches tall and has a ponderal index of 11.56.

To compute the ponderal index or determine the weight, we need the specific value of the constant "a" in the given formula.

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Answer:

Slope is rise over run. so, if you have a line of best fit, you go from one point to the next. Up 1 would be 1 down one would be -1. right 1 would also be 1, left one is -1. After you get the rise over run (Say it's 5/4) then you divide rise over run. 1.25 is the slope of this one.  post this question with a picture of a graph and i'll gladly help

Answer:

D

Step-by-step explanation:

The perimeter of the equilateral triangle is P = 3 ( 1/2b ) - 3

An equilateral triangle is a triangle in which all three sides have the same length.

Let the triangle be ΔABC , and

∠A = ∠B = ∠C = 60° and AB = BC = CA

The perimeter of equilateral triangle P = 3a , where a is the measure of side

Given data ,

Let the perimeter of the triangle be represented as P

Let the measure of the side of the equilateral triangle be a

Now , the value of a = ( 1/2b ) - 1

And , perimeter of equilateral triangle P = 3a

On simplifying the equation , we get

The perimeter of equilateral triangle P = 3 ( 1/2b ) - 1

On further simplification , we get

P = ( 1/2b ) + ( 1/2b ) + ( 1/2b ) - 1 - 1 - 1

Therefore , the value of P is 3 ( 1/2b ) - 1

Hence , the perimeter of the equilateral triangle is P = 3 ( 1/2b ) - 1

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Answer:Difference

Step-by-step explanation:

Answer:

Each person will recieve between 3 and 4 liters

Step-by-step explanation:

Carrie makes 27 liters of lemonade and 8 people share the lemonade equally. If we divide the amount of liters of lemonade by the number of people we will get the amount of lemonade each people will get.

27/8 = 3.375

3.375 is in between 3 and 4 so each person will get between 3 and 4 liters of lemonade

Answer:

66 degree

Step-by-step explanation:

we will find it out by Angle sum property.

Answer:

x=180-79-35

x=66

Step-by-step explanation:

angles in a triangle add up to 180

Answer:

1. (3+2) (n+3)

= 5 (n+3)

=15n+3.

2. (n-1)(2-2)

= (n-1)0

=0

3. (2x + 3)(2x - 3)

= 4x^2 +6x -6x -9

=4x^2 -9

4. (r+1) (-3)

= -3r -3

Step-by-step explanation:

60°+x=2x+4

56°=x

m (2x+4)=2 (56)+4

=116°