im really confused, can someone answer/explain?

The general for of linear equation is ;

y= mx + c where m is the slope and c is the y-intercept

The equation is :

y= 2x -5 ------compare with the genaral equation as

y=mx + c

This shows m, slope = 2 and the y-intercept , c is -5

Answer

Slope = 2

y-intercept = -5

Answer:

x = - 10, x = - 6

Step-by-step explanation:

x² + 16x + 60 = 0

Consider the factors of the constant term (+ 60) which sum to give the coefficient of the x- ter (+ 16)

The factors are + 10 and + 6 , since

10 × 6 = 60 and 10 + 6 = 16 , then

(x + 10)(x + 6) = 0 ← in factored form

Equate each factor to zero and solve for x

x + 10 = 0 ⇒ x = - 10

x + 6 = 0 ⇒ x = - 6

Answer:

Step-by-step explanation:

Answer: 70%

Step-by-step explanation:

obviously 7/10 gives you 70%

Answer:

70%

Step-by-step explanation:

If 3 of the pins were knocked down, that means 7 pins were still standing.

Next, to find what percent 7 is of 10, divide 10 by 100 to get 0.1.

0.1 is 1% of 10, so we need to divide 7 by 0.1 to find the percentage, which is 70.

Answer:

-6x +2

Step-by-step explanation:

( x + 3 ) + ( − 7 x − 1 )

Combine like terms

x -7x   +3 -1

-6x +2

Answer:

-6x + 2.

Step-by-step explanation:

Remove brackets.

Rewrite as like terms.

Calculate .

We can simplify \((16x^4)^(-1/2) to 1/(4x^2)\) using the properties of rational exponents.

Certainly! Here's an example:

Simplify the expression: \((16x^4)^(-1/2)\)

We can apply the property of rational exponents which states that \((a^m)^n = a^(m*n)\). Using this property, we get:

\((16x^4)^(-1/2) = 16^(-1/2) * (x^4)^(-1/2)\)

Next, we can simplify \(16^(-1/2)\) using the rule that \(a^(-n) = 1/a^n\):

\(16^(-1/2) = 1/16^(1/2) = 1/4\)

Similarly, we can simplify \((x^4)^(-1/2)\) using the rule that \((a^m)^n = a^(m*n)\):

\((x^4)^(-1/2) = x^(4*(-1/2)) = x^(-2)\)

Substituting these simplifications back into the original expression, we get:

\((16x^4)^(-1/2) = 1/4 * x^(-2) = 1/(4x^2)\)

Therefore, the simplified expression is \(1/(4x^2).\)

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Answer:

112 1/2

Step-by-step explanation:

9x12 = 108

108 + 4 1/2 = 112 1/2

Answer:

52 adults and 42 children attended the concert

Step-by-step explanation:

Given:

Total attendees=94 people

Adults tickets=$2.5

Children tickets=$1.75

Total receipts=$203.5

Let adults=a

Children=c

a+c=94 (1)

2.5a + 1.75c=203.5 (2)

From (1)

a+c=94

a=94-c

Substitute a=94-c into (2)

2.5a + 1.75c=203.5

2.5(94-c) + 1.75c=203.5

235-2.5c+1.75c=203.5

-0.75c=203.5-235

-0.75c=-31.5

Divide both sides by -0.75

-0.75c/-0.75=-31.5/-0.75

c=42

Substitute c=42 into (1)

a+c=94

a+42=94

a=94-42

=52

a=52

Therefore,

52 adults and 42 children attended the concert

Answer: 14

Step-by-step explanation:

Use order of operations.

In this case, multiply before you subtract.

5 times 2 = 10

24 - 10 = 14

Answer:

14

Step-by-step explanation:

the bodmas rule b-bracket, o-of , d-division , m-multiplication , a-addition , s-subtraction , we should follow this order

so the first to do here is multiplication-5*2=10

2nd step subtraction - 24-10=14

so 14 is the answer

The value of x is 40 degrees.

We are given a trapezoid ABCD with bases AB and CD, where line BC is parallel to line DE. Let angle ABD be 110 degrees and angle CDE be 70 degrees. We are asked to find the value of x.

To solve the problem, we need to use the fact that when a line is parallel to another line, the corresponding angles are equal. In this case, angles ABD and CDE are corresponding angles. So we can set them equal to each other:

ABD = CDE

110 degrees = 70 degrees + x

Subtracting 70 degrees from both sides, we get:

40 degrees = x

Therefore, the value of x is 40 degrees.

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Question

In the given figure, line BC is parallel to line DE. If angle ABD = 110 degrees and angle CDE = 70 degrees, find the value of x.

[Insert diagram of a trapezoid ABCD with line BC parallel to line DE and angles ABD and CDE labeled.]

For the random variable X with the given cumulative distribution function (cdf), we need to find the mean, variance, median, and mode. Additionally, for the random variable X with the given probability density function (pdf), we need to provide an algorithm to generate X using a standard uniform random variable U and find the pdf of Y = X^2.

(a) To find the mean of X, we integrate x times the probability density function (pdf) over its support. Similarly, to find the variance, we calculate the second moment around the mean. The median is the value of x for which the cumulative distribution function (cdf) equals 0.5. The mode is the value of x at which the pdf reaches its maximum.

(b) (i) To generate X using a standard uniform random variable U, we can use the inverse transform sampling method. First, we generate U, which is uniformly distributed between 0 and 1. Then, we calculate X by applying the inverse of the cumulative distribution function (cdf) of X to U.

(ii) To find the probability density function (pdf) of Y = X^2, we use the transformation technique. We substitute Y = X^2 into the pdf of X and apply the change of variables to obtain the pdf of Y.

These calculations and transformations are fundamental in probability theory and statistics for analyzing and understanding the properties and behavior of random variables. They allow us to derive important statistical measures, generate random variables from known distributions, and explore the relationship between different random variables through transformations.

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Answer:

Perimeter of PQR = 37 units (Approx.)

Step-by-step explanation:

Using graph;

Coordinate of P = (-2 , -4)

Coordinate of Q = (16 , -4)

Coordinate of R = (7 , -7)

Find:

Perimeter of PQR

Computation:

Distance between two point = √(x1 - x2)² + (y1 - y2)²

Distance between PQ = √(-2 - 16)² + (-4 - 4)²

Distance between PQ = 18 unit

Distance between QR = √(16 - 7)² + (-4 + 7)²

Distance between QR = √81 + 9

Distance between QR = 9.48 unit (Approx.)

Distance between RP = √(7 + 2)² + (-7 + 4)²

Distance between RP = √81 + 9

Distance between RP = 9.48 unit (Approx.)

Perimeter of PQR = PQ + QR + RP

Perimeter of PQR = 18 + 9.48 + 9.48

Perimeter of PQR = 36.96

Perimeter of PQR = 37 units (Approx.)

The side of the cube is 6 cm.

What is the Volume of a prism?

The area that a prism takes up is referred to as its volume. A prism is a solid, three-dimensional structure with two identical faces and additional faces that resemble parallelograms. It is a polyhedron whose nomenclature is influenced by the various basic forms. Every prism has a particular base, whether it be a triangular prism (triangular base), square prism (square base), rectangular prism (rectangular base), pentagonal prism (pentagonal base), hexagonal prism (hexagonal base), or an octagonal prism (octagonal base). Consequently, because a prism is a three-dimensional form, its volume likewise exists in a three-dimensional plane. Prisms are measured in terms of their volume in cubic meters, cubic millimeters, cubic inches, or cubic feet. Following are the steps to calculate the prism's volume:

Write down the prism's dimensions as specified in step one.

Step 2: Use the formula V = B H to calculate the prism's volume. V, B, and H stand for the prism's volume, base area, and height, respectively.

Step 3: After obtaining the volume of the prism's value, add the unit of prism volume at the conclusion (in terms of cubic units).

In the question, we have given that:

Prism is made up of 120 equal cubes;

The volume of the prism is 25, 920\(cm^{3}\);

So, we can equate the volume of 120 equal cubes with the prism's volume;

⇒ 120 × \((a)^{3}\) = 25, 920;

⇒\((a)^{3}\) = \(\frac{25920}{120}\)

⇒\((a)^{3}\) = 216;

So, the value of a is 6 cm;

That is the side of the cube is 6 cm;

Hence, The side of the cube is 6 cm.

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Answer:

The best chart to show how your department's expenses compare to the total company's expenses, and hopefully save employee jobs, would be:

Pie Chart

Step-by-step explanation:

Therefore , the solution of the given problem of volume comes out to be a)   \(\int\limits^{2\pi }_0 \int\limits^a_0\) \(e^{-r^{2}\)(r) drdθ  , b) V = π ( 1- \(e^{-a^{2} }\) ) and   \(\lim_{a \to \infty} V\) = π .

the amount of space something occupies in three dimensions. Consider how much water might be present. known also as capacity .

The volume = area * height in this instance is equal to 200 units (10 x 4 x 5). 3 Volume units consist of:• Metric units: liters, cubic centimeters (cm3), and cubic meters (m3)

• US Standard: ounces, pints, gallons, cubic inches, and cubic feet

Here,

Given : z=e−x^2−y^2

and  x^2+y^2≤a2 where a>0.

Thus ,

volume  = \(\int\limits\int\limits\) \(e^{-x^{2} -y^{2} }\) dxdy

=>  \(\int\limits^{2\pi }_0 \int\limits^a_0\) \(e^{-r^{2}\)(r) drdθ

and

b)  volume    =  \(\int\limits^{2\pi }_0 \int\limits^a_0\) \(e^{-r^{2}\)(r) drdθ

let \(r^{2}\) = t

2rdr =dt

rdr = 1/2 dt

then,

V = 2π * 1/2 * \(\left \{ {{a^{2} } \atop {0}} \right.\) - \(e^{-t}\)

=> V = π * - \(e^{-a^{2} }\) + \(e^{0}\)

=> V = π ( 1- \(e^{-a^{2} }\) )

c) \(\lim_{a \to \infty} V\) = >    \(\lim_{a \to \infty}\)(π ( 1- \(e^{-a^{2} }\) ))

=>  π ( 1- \(e^{-\infty }\) )

=> π ( 1- 1/ \(e^{\infty }\) )

= > π ( 1- 0 )

=>   \(\lim_{a \to \infty} V\) = π

Therefore , the solution of the given problem of volume comes out to be a)   \(\int\limits^{2\pi }_0 \int\limits^a_0\) \(e^{-r^{2}\)(r) drdθ  , b) V = π ( 1- \(e^{-a^{2} }\) ) and   \(\lim_{a \to \infty} V\) = π .

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The function that represents the Scooter Company's total profit is option A) -2x^2 + 200x - 1,500. This function represents the difference between the total revenue and the total cost, taking into account the cost per scooter and the fixed cost. Option A

To determine the function that represents the Scooter Company's total profit, we need to subtract the total cost from the total revenue.

The total cost is given by the formula:

Total Cost = Cost per scooter * Number of scooters + Fixed cost

In this case, the cost per scooter is $200 and the fixed cost is $1,500.

Total Cost = 200x + 1,500

The total revenue is given by the function:

Total Revenue = R(x) = 400x − 2x^2

To calculate the profit, we subtract the total cost from the total revenue:

Profit = Total Revenue - Total Cost

Profit = (400x - 2x^2) - (200x + 1,500)

Simplifying the expression, we get:

Profit = 400x - 2x^2 - 200x - 1,500

Rearranging the terms, we have:

Profit = -2x^2 + 200x - 1,500

Option A

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The correct answer to the question is b. Congruent figures.

Congruent figures are figures that have the same size and shape. In other words, if you were to compare two congruent figures, they would be identical in every way. This means that all corresponding sides and angles of the figures are equal.

For example, if you have two triangles that are congruent, their corresponding sides and angles will be equal. So if one triangle has a side length of 5 cm, the corresponding side of the other triangle will also have a length of 5 cm. Similarly, if one angle in one triangle measures 60 degrees, the corresponding angle in the other triangle will also measure 60 degrees.

It's important to note that congruence applies to all types of figures, including triangles, quadrilaterals, circles, and so on. When determining if two figures are congruent, you need to compare their corresponding sides and angles.

To summarize, figures that have the same size and shape are called congruent figures.

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Toby cycles 12 miles each day.

To find out how far Toby cycles each day, we need to add up the distance he covers during his morning and afternoon trips. Here are the steps we need to follow:

Step 1: Determine Toby's cycling distance from his house to his schoolDistance from Toby's house to his school = 4 miles west. Toby bicycles this distance every day. Therefore, his one-way cycling distance from home to school is 4 miles.

Step 2: Determine Toby's cycling distance from his school to Erica's house.Distance from Toby's school to Erica's house = 3 miles south. Toby cycles this distance every day after school. Therefore, his one-way cycling distance from school to Erica's house is 3 miles.

Step 3: Determine Toby's cycling distance from Erica's house to his house.Distance from Erica's house to Toby's house = we don't know. But we know that Toby takes a bike path that goes straight from Erica's house to his own house. Therefore, we can assume that the distance from Erica's house to Toby's house is the hypotenuse of a right-angled triangle with legs of 3 miles (south) and 4 miles (west).

We can use the Pythagorean Theorem to find the hypotenuse: c2 = a2 + b2c2 = 32 + 42c2 = 9 + 16c2 = 25c = √25c = 5 milesTherefore, Toby cycles 5 miles every day on his bike path from Erica's house to his own house.Step 4: Add up Toby's one-way cycling distances to find out how far he cycles each day.Toby's one-way cycling distance from home to school = 4 milesToby's one-way cycling distance from school to Erica's house = 3 milesToby's one-way cycling distance from Erica's house to his house = 5 milesTotal cycling distance = 4 + 3 + 5Total cycling distance = 12 miles.

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Answer:

540 minutes

Step-by-step explanation:

Create expressions to represent the costs of both service plans, where x is the number of minutes of calls:

0.12x + 27 will represent the first one

0.17x represents the second one

Then, set them equal to each other. Solve for x to find how many minutes of calls will make the prices equal.

0.12x + 27 = 0.17x

27 = 0.05x

540 = x

So, the costs of the 2 plans will be equal after 540 minutes.

(A) The parametric equations for the line segment from (1,2,4) to (3,0,6) can be written as:

x = 1 + t(3 - 1) = 2t + 1

y = 2 + t(0 - 2) = -2t + 2

z = 4 + t(6 - 4) = 2t + 4, where t is a parameter that varies between 0 and 1 to trace out the segment. The orientation of the curve is from (1,2,4) to (3,0,6).

(B) The parametric equations for the portion of the parabola y = x² - 1 from (1,0) to (-1,0) can be written as:

x = t

y = t² - 1, where t varies between -1 and 1 to trace out the portion of the parabola. The orientation of the curve is from (1,0) to (-1,0).

(C) The parametric equations for the ellipse x²/4 + y²/9 = 1, traced counterclockwise starting from (-2,0), can be written as:

x = 2 cos(t) - 2

y = 3 sin(t), where t varies between 0 and 2π to trace out the ellipse counterclockwise. The curve is oriented counterclockwise.

The parametric equations for the ellipse x²/4 + y²/9 = 1, traced clockwise starting from (-2,0), can be written as:

x = -2 cos(t) + 2

y = 3 sin(t), where t varies between 0 and 2π to trace out the ellipse clockwise. The orientation of the curve is clockwise.

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Answer:

36 units

Step-by-step explanation:

UW = UV + VW

9x-9 = 2x - 4 + 4x + 10

9x - 9 = 6x + 6

3x = 15

x = 5

UW = 9(5) - 9 = 45 - 9 = 36

answer is  36 units

Answer: its not A<B<or <C sooo....its must be D

Step-by-step explanation:  :)

Answer:

Point on the line: (0, 15)

Slope: 3

Step-by-step explanation:

Step 1: Put the equation in slope-intercept form

    The slope-intercept form is written like this: y = mx + b

    m = slope

    b = y-intercept

    1. y = 3 + 3(x + 4) → y = 3x + 15

Step 2: Retrieve the values from the equation

    y-intercept = 15

    slope = 3

Answer:

c ×=4, only

Step-by-step explanation:

4*-8×+16=0

16-32=-16

-16=-16

Answer:

D. x=4 only

Step-by-step explanation:

You can solve using the quadratic equation which is \(x=\frac{-b \pm \sqrt{b^{2}-4ac}}{2a}\)

where in this case a=1, b=-8, and c=16. But there is any easier way to solve the equation. You can solve by completing the square which consists of moving the constant to the right side and then adding \((\frac{b}{2})^2\). To both sides that way you can rewrite the left side as a perfect square binomial. This is because \((x+b)^2\) will expand to \(x^2 + 2xb + b^2\). So when you add \((\frac{b}{2})^2\) to both equations. You're able to rewrite the left side as \((x+(\frac{b}{2}))^2\). Because once you expand it out, it becomes \(x^2 + 2(\frac{b}{2})x + (\frac{b}{2})^2\). Which simplifies to \(x^2 + bx + (\frac{b}{2})^2\) which is the original equation. In this case there is no need to move the constant, which in this case is 16, to the other side. Since if you calculate the value of (-8/2)^2 it's equal to 16! So this can already be written as a perfect square binomial.

So the equation becomes

\(0 = (x+\frac{b}{2})^2\)

Plug values in

\(0 = (x+(-\frac{8}{2}))^2\)

Simplify

\(0 = (x-4)^2\)

Take the square root of both sides

\(0 = x-4\)

Add 4 to both sides

\(4 = x\)

Step-by-step explanation:

Area of a square 1.1.1=

\( {l}^{2} = l \times l\)

Area of a rectangle 1.1.2=

\(l \times b\)

Area of a triangle 1.1.3=

\( \frac{1}{2} \times base \times height\)

Area of square ABCD

\( |ab| = 3cm\)

Area of a square =l×l

l=3cm

Area = 3×3=9cm2

Answer:

Step-by-step explanation:

Yes 7/8= 0.875. 2/5 is equal to 0.40

Answer:

i honestly dont even know myself

Step-by-step explanation:

Answer:

66

Step-by-step explanation:

first layer is really

the area of the base that is 5 and 1/2 *3  

our unit is 1/2 so you could fit 2 cubes in 1 unit so the base area has

(2* 5 1/2) * ( 2* 3) = 11* 6 = 66 unit cubes

Answer:

Step-by-step explanation:

The meaning of the translation (x + 6, y + 10) is that all points in a coordinate plane are moved 6 units to the right and 10 units up.

In other words, for any point (x, y) in the original position, after the translation, the new coordinates would be (x + 6, y + 10). This means that the x-coordinate of each point is increased by 6 units, resulting in a shift to the right, and the y-coordinate is increased by 10 units, resulting in a shift upwards.

Answer:

increase by 25%

Step-by-step explanation:

15-12=3

12÷3=4

4=25%

Hello and Good Morning/Afternoon!

To determine whether a sequence is arithmetic or geometric:

   ⇒ must consider their definitions

Let's test out this sequence to see what kind of sequence it is:

             3 ⇒ 4, 3 + 1  

             4 ⇒ 7, 4 + 3

             7 ⇒ 11, 7 + 4

              NOT AN ARITHMETIC SEQUENCE

              3 ⇒ 4,  3 * (4/3)

              4 ⇒ 7,  4 * (7/4)

              7 ⇒ 11,  7 * (11/7)

               NOT AN GEOMETRIC SEQUENCE

Answer: Neither arithetic nor geometric

Hopefully that helps!