Which equation represents a line which is parallel to the line
y = −3/5x − 7?
-
3x + 5y = 15
5x + 3y = 12
3y - 5x = 6
3x - 5y = -30
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The equation for p is p + 6 = 14, which means that the number of pieces left is equal to the difference between the total number of pieces (14) and the number of pieces served (6).

Ron's mother bakes a pizza and divides it into 14 pieces. After serving 6 pieces to Ron and his friends, she has a certain number of pieces left. To determine this number, we can use the equation p + 6 = 14. This equation states that the number of pieces left (p) is equal to the difference between the total number of pieces (14) and the number of pieces served (6). Therefore, the equation for p is p + 6 = 14. By solving this equation, we can determine that the number of pieces left is 8. This means that Ron's mother has 8 pieces left after serving 6 pieces to Ron and his friends.

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Marcel can set a goal of purchasing the house in 5 years. The timeframe Factor enables Marcel to work towards his financial goal within a specified period.

Marcel's financial goal is to purchase a house. To make Marcel's financial goal of purchasing a house a specific goal, he can identify the following factors:

Specificity: Marcel should specify the type of house he wants to purchase. This includes the size of the house, the number of rooms, the location, the neighborhood, and the amenities he wants in the house. For instance, Marcel can specify that he wants to purchase a 3-bedroom bungalow house located in a suburban area.

Measurability: Marcel should identify how much money he needs to purchase the house. This means that he should set a financial target that he wants to achieve to be able to purchase the house. For instance, Marcel can set a target of saving $100,000 in 3 years to purchase the house. The measurability factor enables Marcel to track his progress toward achieving his financial goal.

Attainability: Marcel should set a financial goal that is achievable based on his income and financial situation. For instance, if Marcel's current income cannot enable him to save $100,000 in 3 years, he can adjust his financial goal to suit his financial situation.

Realistic: Marcel should set a realistic financial goal that he can achieve given his resources and time frame. For instance, Marcel should not set a financial goal that is too high that he cannot achieve it or too low that it does not challenge him.

Time-bound: Marcel should set a timeframe within which he wants to achieve his financial goal. This means that Marcel should set a specific date by which he wants to purchase the house.

For instance, Marcel can set a goal of purchasing the house in 5 years. The timeframe factor enables Marcel to work towards his financial goal within a specified period.

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so we'd want to find all "t" when the ball was 9 meters up in the air, or namely what's "t" when h(t) = 9, well, let's simply set h(t) = 9

\(\stackrel{h(t)}{9}=2+13t-5t^2\implies 0=-5t^2+13t-7 \\\\[-0.35em] ~\dotfill\\\\ ~~~~~~~~~~~~\textit{quadratic formula} \\\\ 0=\stackrel{\stackrel{a}{\downarrow }}{-5}t^2\stackrel{\stackrel{b}{\downarrow }}{+13}t\stackrel{\stackrel{c}{\downarrow }}{-7} \qquad \qquad t= \cfrac{ - b \pm \sqrt { b^2 -4 a c}}{2 a}\)

\(t= \cfrac{ - (13) \pm \sqrt { (13)^2 -4(-5)(-7)}}{2(-5)} \implies t = \cfrac{ -13 \pm \sqrt { 169 -140}}{ -10 } \\\\\\ t= \cfrac{ -13 \pm \sqrt { 29 }}{ -10 }\implies t= \begin{cases} \frac{ -13 + \sqrt { 29 }}{ -10 }\\\\ \frac{ -13 - \sqrt { 29 }}{ -10 } \end{cases}\implies t\approx \begin{cases} 0.76\\\\ 1.84 \end{cases} ~~ \textit{\LARGE seconds}\)

there are two values, Check the picture below, that's about the parabolic path for the object, and it hits 9 meters high twice, once on the way up, and again on the way down.

Answer:

Step-by-step explanation:

First, we need to find the difference between the price that he sold the shares for and the price that he bought them at: (67.68-60.65) = 7.03

That means that there was a gain of $7.03 per share for Archie.

That being said, since Archie bought 100 shares, we can multiply that number by 100 to find the total gain from selling the shares:

(7.03x100)= 703

The answer then is:

Archie gained $703 from selling all of his shares.

The numeric value of the exponential expression in this problem is given by the following option:

A. 2^12.

The exponential expression for this problem is defined as follows:

8^x/2^y.

8 is the third power of 2, hence:

8 = 2^3.

When a term is elevated to two of it's powers, the powers are multiplied, hence:

(2^3)^x = 2^(3x).

Meaning that the exponential expression is then written as follows:

8^x/2^y = 2^(3x)/2^y.

When two terms of the same base and different exponents are divided, we keep the base and subtract the exponents, hence the expression is given as follows:

2^(3x)/2^y = 2^(3x - y).

As stated in the problem, the numeric value of the expression 3x - y is given as follows:

3x - y = 12.

Hence the entire expression is simplified as follows:

2^(3x - y) = 2^12.

Meaning that the correct option is given by option A.

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Answer:A. 2^12.

Step-by-step explanation:i did it and got it right

The function with the steepest slope is \(y = 7x - 3\).

The correct answer is C.

The linear function with the steepest slope is the one with the highest absolute value for the coefficient of x.

Let's compare the coefficients of x in each of the given functions:

\(y = -8x + 5\)

Slope: -8

\(y - 9 = -2(x + 1)\)

Simplifying, we get \(y - 9 = -2x - 2\)

Rearranging, we have \(y = -2x + 7\)

Slope: -2

\(y = 7x - 3\)

Slope: 7

\(y + 2 = 6(x + 10)\)

Simplifying, we get \(y + 2 = 6x + 60\)

Rearranging, we have \(y = 6x + 58\)

Slope: 6

Therefore, the steepest slope is the \(y = 7x - 3\).

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Answer:

here I think

Step-by-step explanation:

8y + 5 - 10y - 2 = (8y-10y)+(5-2)=-2y+3

Answer:

I think its C

Step-by-step explanation:

The percent increase is 8%.

The ratio of the increased value to the original value, multiplied by 100, is the percentage increase formula. It is outlined as a percentage. Anything's value will increase if it is valued more, so will its proportion.

As follows is the percentage increase formula:

Percentage Increase = (Increased Value ⁄ Original Value) × 100

Given:

The number varies from $6.25/h to $6.75/h.

So, change in amount = 6.75- 6.25 = 0.50

Now, percent increase

= change in amount / original amount x 100

= 0.50/ 6.25 x 100

= 0.08 x 100

= 8%

Hence, the percent increase is 8%.

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Given Information:

Mean of retirement accounts = μ = $490,000

Standard deviation of retirement accounts = σ =  $55,000

Sample size = n = 80

Answer:

$484,835 is the amount that separates the lowest 20% of the means of retirement accounts from the highest 80% of the means of retirement accounts.

Step-by-step explanation:

We are given a Normal Distribution, which is a continuous probability distribution and is symmetrical around the mean. The shape of this distribution is like a bell curve and most of the data is clustered around the mean. The area under this bell shaped curve represents the probability.  

The amount of money that separates the lowest 20% of the means of retirement accounts from the highest 80% is given by

\($ P( \frac{\bar{x} - \mu}{\frac{\sigma}{\sqrt{n} } }) = 0.20\)

The z-score corresponding to 0.20 is -0.84

\(\frac{\bar{x} - \mu}{\frac{\sigma}{\sqrt{n} } } = z \\\\\bar{x} - \mu = z \cdot\frac{\sigma}{\sqrt{n} } \\\\\bar{x} = \mu + z \cdot\frac{\sigma}{\sqrt{n} } \\\\\bar{x} = 490,000 - 0.84 \cdot\frac{55,000}{\sqrt{80} } \\\\\bar{x} = 490,000 - 0.84(6149.186)\\\\\bar{x} = 490,000 - 5,165.32\\\\\bar{x} = 484,834.68\\\)

Rounding off to the nearest whole number

\(\bar{x} = \$ 484,835\\\)

Therefore, $484,835 is the amount that separates the lowest 20% of the means of retirement accounts from the highest 80% of the means of retirement accounts.

How to use z-table?

In the z-table find the probability of 0.20

Note down the value of that row, it would be -0.8.

Note down the value of that column, it would be 0.04.

So the z-score is -0.84

Answer:

Step-by-step explanation:

15+5x=20x

   -5x  -5x  => Subtract 5x from each side

You get

15 = 15x

Divide both sides by 15

1=x

Answer:

D. A pair of intersecting lines

Step-by-step explanation:

A conic section is a fancy name for a curve that you get when you slice a double cone with a plane. Imagine you have two ice cream cones stuck together at the tips, and you cut them with a knife. Depending on how you cut them, you can get different shapes. These shapes are called conic sections, and they include circles, ellipses, parabolas and hyperbolas. If you cut them right at the tip, you get a point. If you cut them slightly above the tip, you get a line. If you cut them at an angle, you get two lines that cross each other. That's what happened in your question. The plane cut the cone at an angle, so the curve is two intersecting lines. That means the correct answer is D. A pair of intersecting lines.

I hope this helps you ace your math question.

Answer:

D

Step-by-step explanation:

edmentum users

Answer:

16 hours

Step-by-step explanation:

14 hours + 1 hour + 1 hour = 16 hours

The student weighing 225 pounds on Earth will weigh 1350 pounds on the moon by comparison of both students using ratio.

By comparison using the ratios of both students:

for the student weighting 120 pounds on Earth would weigh 20 pounds on the Moon,we have;

20 : 120 = 20/120 {expressed as fraction}

20 : 120 = 1/6

for the student weighing 225 pounds on Earth, let us represent the weight on the Moon with the letter x.

hence,

20 : 120 = 225 : x

1/6 = 225/x

by cross multiplication

x = 225 × 6

x = 1350

Therefore, the student weighs 1350 pounds on the Moon while on Earth weighs 225 pounds derived by proper application of ratio to compare the weights of both students.

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Train X is 374.39 km far apart from train Y (along the hypotenuse) at 4:05 pm and 627.009 km far apart (along the hypotenuse) at 5:50 pm.

It goes without saying that the side opposite the right angle is the hypotenuse of a right triangle. This side of a right triangle is the longest.

given: Train X travels at a speed = 106 km/h

          Train X started moving on 1:15

           Train Y travels at a speed = 124 km/h

           Train Y started moving on 2:25 pm

a) Time taken by train X = 2 h 15 min = 2.83 h          

                          Speed = 106 km/h

                      Distance = speed * time

                      Distance = 106 * 2.83

 Distance travelled by train X towards west is 299.98 km.

           Time taken by train Y = 1 h 45 min = 1.75 h

                                      Speed = 128 km

                                  Distance = speed * time

                                  Distance = 128 * 1.75

 Distance travelled by train Y towards north is 224 km.

By using Pythagoras theorem,

(299.98)² + (224)² = hypotenuse²

89988 + 50176 = hypotenuse²

Hypotenuse = 140164 = 374.39  

Therefore, distance between train X and train Y at 4:05 pm along hypotenuse is 374.39 km.

b) Time taken by train X = 1 h 45 min = 1.75 h

                         Speed = 106 km/h  

                       Distance = speed * time

                       Distance = 106 * 1.75

 Distance travelled by train X is 185.5 km.

Total distance travelled by X = 299.98 + 185.5 = 485.48 km

           Time taken by train Y = 1 h 21 min = 1.35 h

                                      Speed = 128 km

                                  Distance = speed * time

                                  Distance = 128 * 1.35

 Distance travelled by train Y is 172.8 km

Total distance travelled by Y = 224 + 172.8 = 396.8 km

By using Pythagoras theorem,

(485.48)²  + (396.8)² = hyopotenuse²

235690.84 + 157450.24 = hypotenuse²

393141.08 = hypotenuse²

Hypotenuse = 627.009

Distance between train X and train Y at 5:50pm is 627.009 km.

c) Distance of train X from Evas station = 485.48km

                                                     Speed = 142 km/h

                                            Time taken = distance / speed

                                             Time taken = 485.48 / 142        

Time taken by train X to reach station is 3.42 h  

Distance of train Y from Evas station = 396.8 km

                                                     Speed = 128 km/h

                                            Time taken = distance / speed

                                             Time taken = 396.8 / 128

Time taken by train Y to reach station is 3.1 h

Therefore, train Y will arrive station first.

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The inequality expression that corresponds to the solution of the inequality graph is x² + 3x - 3 < 0.

option B.

The inequality expression that corresponds to the solution of the inequality graph is determined by simplifying the equations as follows;

The solution of the graph,

x > -4 and x < 1

The first equation with "≥" is ruled out because the graph doesn't have a thick dot.

Let's simplify the second expression;

x² + 3x - 3 < 0

solve using quadratic formula;

x > -3.79 or x < 0.79

The third expression is ruled out since its solution will be complex.

For the last expression;

x² + 3x - 3 > 0

x < -3.79 or x > 0.79

Thus, the correct inequality expression is x² + 3x - 3 < 0.

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Answer:

Step-by-step explanation:

I and II

Pages in a book and leaves on a tree can be counted precisely. They are discrete.

The height of a person cannot be measured exactly. We can get very good

approximations (to a lot of decimal places) but never exact. This is continuous.

This question is incomplete, the complete question is;

You decide to record the hair colors of people leaving a lecture at your school. What is the probability that the next person who leaves the lecture will have blonde hair ?

Express your answer as a simplified fraction or a decimal rounded to four decimal places.

Blonde Red Brown Black Gray

31          25       18      40     42

Answer: the probability that the next person who leaves the lecture will have blonde hair is 0.1987

Step-by-step explanation:

Given that;

HAIR COLOR      FREQUENCY

Blonde                         31

Red                              25

Brown                          18

Black                           40

Gray                            42

Total                           156

So

there were 156 people all together

and out of the 156, 31 of them were blonde.

now the probability that the next person who leaves the lecture will have blonde hair will be;

⇒ 31 / 156 = 0.1987

Therefore, the probability that the next person who leaves the lecture will have blonde hair is 0.1987

The relationship that represents a function with a greater rate of change than the function graphed is given as follows:

A. y = 4x - 3.

The slope-intercept equation for a linear function is presented as follows:

y = mx + b.

The slope represents the average rate of change of a linear function.

From the graph, when x increases by one, y decreases by two, hence the slope m is given as follows:

m = -2.

For function A, the function is defined as follows:

y = 4x + 3.

Hence the rate of change is given as follows:

m = 4, which is greater than -2.

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Answer:

The equilibrium quantity is 26.4

Step-by-step explanation:

Given

\(Q_d = 48 - 9P\)

\(Q_s = 12 + 6P\)

Required

Determine the equilibrium quantity

First, we need to determine the equilibrium by equating Qd to Qs

i.e.

\(Q_d = Q_s\)

This gives:

\(48 -9P = 12 + 6P\)

Collect Like Terms

\(-9P - 6P = 12 - 48\)

\(-15P = -36\)

Solve for P

\(P = \frac{-36}{-15}\)

\(P =2.4\)

This is the equilibrium price.

Substitute 2.4 for P in any of the quantity functions to give the equilibrium quantity:

\(Q_d = 48 - 9P\)

\(Q_d = 48 - 9 * 2.4\)

\(Q_d = 26.4\)

Hence, the equilibrium quantity is 26.4

Answer:

91.................

The height of the monument is 30 meters.

We have,

Let's assume the height of the monument is "h" meters.

From the top of the building, the angle of elevation to the top of the monument is equal to the angle of depression to the foot of the monument. This forms a right triangle with the building, the monument, and the ground.

In this triangle, the opposite side of the angle of elevation is the height of the building, which is given as 30 meters.

The opposite side of the angle of depression is the height of the monument, which is "h" meters.

Since the angles of elevation and depression are equal, the triangle is an isosceles triangle.

Therefore, the opposite sides are equal in length.

By setting up the equation:

h = 30

Thus,

The height of the monument is 30 meters.

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The amount of tax Zoe would pay if she orders from store Y is $1.44.

Tax is a compulsory sum levied by the government or an agency of the government on the production, sales or consumption of certain goods and services

Tax = cost of the book x percentage tax

0.08 x $18 = $1.44

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Answer:

The distances AB and BC are

√

52

and therefore isosceles.

Explanation:

If we label them A(13,-2) B(9-8) and C(5-2)

The distance between A and B:13⇒9=4−2⇒−8=42+62=52 so the distance is √52

The distance between B and c:9⇒5=4−8⇒−2=642+62=52

the distance is

√

52

The distance between A and C is 8 as they are both on -2 for

y

The distances AB and BC are

√

52

and therefore isosceles.Step-by-step explanation:

Using the circles:

A circle with a radius of 8 inches has an area and circumference given by:

A = πr² = π(8²) ≈ 201.06 square inches

C = 2πr = 2π(8) ≈ 50.27 inches

Rounding to the nearest hundredth:

A ≈ 201.06 square inches

C ≈ 50.27 inches

Therefore, the area is approximately 201.06 square inches and the circumference is approximately 50.27 inches.

A circle with a diameter of 20 meters has a radius of 10 meters. The area and circumference are given by:

A = πr² = π(10²) ≈ 314.16 square meters

C = 2πr = 2π(10) ≈ 62.83 meters

Rounding to the nearest hundredth:

A ≈ 314.16 square meters

C ≈ 62.83 meters

Therefore, the area is approximately 314.16 square meters and the circumference is approximately 62.83 meters.

Using these relationships, find the measures of some of the angles:

a) mJKP = mJKN (by vertical angles) and mJKP + mPKL = 90° (by complementary angles), so mJKN + mPKL = 90°.

b) mJKN = mJKP (by vertical angles) and mJKN + mKNM = 90° (by complementary angles), so mJKP + mKNM = 90°.

c) mJLK = mMPL (by alternate interior angles) and mMPL = 63°, so mJLK = 63°.

d) mKNM = 90° - mJKN (by complementary angles). We cannot determine the measure of mJKN.

e) mJLK = mMPL (by alternate interior angles) and mJLR = mJLP (by vertical angles), so:

mJLK + mKLP + mPLJ + mJLP = 360° (by the sum of angles in a quadrilateral)

63° + 90° + mPLJ + mJLP = 360°

mPLJ + mJLP = 207°

f) mJLR = mJLP (by vertical angles) and mKPL = 90°, so:

mJLR + mJLP + mKPL = 180° (by the angles in a triangle)

mJLR + mJLP + 90° = 180°

mJLR + mJLP = 90°

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Image transcribed:

Use the circle below for questions 1-7.

1. Name a radius.

2. Name a diameter.

1.

2.

3.

R

3. Name a chord that is not a diameter.

P

4. Name a central angle.

4.

S

5. Name a minor arc.

5.

6. Name a major arc.

7.

7. Name a semicircle.

For questions 8 and 9, find the area and circumference. Round to the nearest hundredth.

8.

A =

C=

9.

A =

20 m

8 in

C=

10. If m∠MPL = 63°, find each measure.

K

a) mR= =

= m KNM d) 이이

=

b) - =

c) L

=

f) mJLR =

N

M

Gina Wilson (All Things Algebra, LLC), 201

Answers:

5)

a.Highest- 96

Lowest-52

b.74

c. 70-80

d. 13

e. 7

6)

a. 89%

b. 51%

c. In the morning(89%)

Answer:

One is a negative and the other is a positive. They are both set at an equal distance on either side of zero.

The volume of the box is 99 unit cubes.

A cube is a three-dimensional object that has six faces, twelve edges and eight vertices. The length, width and height of a cube usually has equal dimensions. The volume of the box is a function of the dimension of the cubes in it and the number of layers.

Volume of a box = number of layers x amount of units

9 x 11 - 99 unit cubes

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