When a line has a **slope** of 0, it means that the line is a horizontal line that is parallel to the x-axis. An **equation **that shows this is y = 0x + 2.

The **slope **of a line shows the change in the line and how it is shaped on the graph. If the slope of a line is 0, what it means is that the line has not slanting shape and is instead simply straight on the horizontal axis.

As a result of the line being a straight horizontal line, it will be parallel to the x-axis which is also a **horizontal **line.

Take the **equation**:

y = 0x + 2

y = 2

Y will be a horizontal line on y=2.

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Find a function f whose graph is a parabola with the given vertex and that passes through the given point.

vertex (−1, 9); point (−2, −8)

[tex]~~~~~~\textit{vertical parabola vertex form} \\\\ y=a(x- h)^2+ k\qquad \begin{cases} \stackrel{vertex}{(h,k)}\\\\ \stackrel{"a"~is~negative}{op ens~\cap}\qquad \stackrel{"a"~is~positive}{op ens~\cup} \end{cases} \\\\[-0.35em] ~\dotfill\\\\ \begin{cases} h=-1\\ k=9 \end{cases}\implies y=a(~~x(-1)~~)^2 +9\implies y=a(x+1)^2 + 9 \\\\\\ \textit{we also know that} \begin{cases} x=-2\\ y=-8 \end{cases}\implies -8=a(-2+1)^2 + 9 \\\\\\ -17=a(-1)^2\implies -17=a\hspace{9em}\boxed{y=-17(x+1)^2 + 9}[/tex]

Consider the lines that contain the segments in the figure and the planes that contain the faces of the figure. All angles are right angles. Which plane(s) contain point B and appear to be parallel to plane CDH?

The plane containing point B and** parallel **to the **plane CDH** is plane ABF.

As, from the diagram we can see that there are two plane passing from point B;** plane ABF** and ABC.

But plane ABC is intersecting the given plane CDH, while plane ABF is not.

Thus, plane ABF is parallel to the **plane CDH**.

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solve the system of equations using the elimation menthod. show your work. make sure to express your solution as an ordered pair

-3x - 4y = -5

12x - 3y = -18

Multiply the first equation by 4, and add both

-12x - 16y = -20

+

12x - 3y = -18

___________

-19y = -38

Solve for y:

y = -38/-19

y= 2

Replace y on any equation and solve for x

-3x - 4(2)=-5

-3x -8 = -5

-3x = -5+8

-3x = 3

x=3/-3

x=-1

Solution = (-1,2)

Suppose that the mean cranial capacity for men is 1160 cc (cubic centimeters) and that the standard deviation is 200 cc. Assuming that men's cranial capacities are normally distributed, complete the following statements.

Solution:

Given;

[tex]\mu=1160,\sigma=200[/tex]The z-score is calculated using;

[tex]\begin{gathered} z=\frac{x-\mu}{\sigma} \\ \\ z=\frac{760-1160}{200}\text{ at }x=760 \\ \\ z=-2 \\ \\ z=\frac{1560-1160}{200}\text{ at }x=1560 \\ \\ z=2 \end{gathered}[/tex]Thus;

[tex]P(-2**(b) **The z-score of 99.7 probability is between -3 and 3. Thus;

**ANSWER: ****Approximately 99.7% of men have cranial capacities between 560 cc and 1760 cc**

Select the correct answer.

How many solutions for x does the following equation have?

2(x+4) -1 = 2x + 7

O A. 1

О в. о

OC. 7

OD. infinite

**Answer:**

D. infinite

**Step-by-step explanation:**

2(x+4) -1 = 2x + 7

**To solve for x**

Distribute

2x+8 -1 = 2x+7

Combine like terms

2x +7 = 2x + 7

Subtract 2x from each side

2x+7-2x = 2x+7-2x

7 = 7

This is always true, so there are infinite solutions

State the postulatr ir theorem for no. 6 and 9

**Solution**

**Number 6**

for this case we can see that we have two common angles and one equal side. By the way we have also a common side and then since we have right triangles the correct postulate would be:

SSS

**Number 9 **

how many 14 goes into 78

The **amount of times** that 14 goes into 78 is; 5 times

How to carry out division of numbers?

We want to find how many 14 goes into 78.

Now, it is pertinent to note that this **expression** is used in our common daily lives for basic things of life. For example, if i want to know how many 10 dollars can go into 100 dollars, i will just **divide** 100 by 10.

Similarly **another example** is if i want to know how many 5 liters container of fuel would go into a 60 liters tank, i will just divide 60 by 5 to get the number.

In a similar vein, we can solve this question by **dividing** 78 by 14 to get;

78/14 = 5 ⁸/₁₄

This means 14 can only go in 5 full times as we will not count the fraction.

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Kaj earns $35 for 2 hours of work. ￼If she makes a constant hourly wage, which table

represents the relationship between the number of hours she works and her total

earnings?

The **table of values **of the relationship between time and earnings is a linear relation

From the question, we have the following parameters:

Number of hours = 2 hours

Total earnings in this time = $35

Also from the question, we understand that:

She makes a **constant hourly wage**

A **constant hourly wage** implies that the table of values has a **linear relationship**

In this case, the **linear relationship **is represented as

A(t) = constant hourly wage * t

Where

A(t) represents the earnings

t represents the number of hours

So, we have

constant hourly wage * 2 = 35

Divide both sides of the **equation **by 2

So, we have

constant hourly wage = 17.5

Substitute constant hourly wage = 17.5 in A(t) = constant hourly wage * t

A(t) = 17.5 * t

Evaluate

A(t) = 17.5t

Using the values of t as:

t = 0, 2, 4, 6

We have the following **table of values**

Number of hours (t) || Amount earned

0 0

2 35

4 70

6 105

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The actual lengths of Wall A, Wall B, and Wall D are 2.5 m, 2.75 m, and 3.75 m. If 1 m = 4 cm then determine how long these walls will be on Noah’s scale drawing. Be sure to include your units; use 'cm' for centimeters.

**Step-by-step explanation:**

1 m = 4 cm

therefore,

A = 2.5 m = 2.5×1 m = 2.5×4 cm = 10 cm

B = 2.75 m = 2.75×1 m = 2.75×4 cm = 11 cm

D = 3.75 m = 3.75×1 m = 3.75×4 cm = 15 cm

Where is the least common denominator of two fractions to product of the denominator￼?

When two or more **fractions** are provided, the** least common denominator** is defined as the smallest **common multiple** of all the common multiples of the denominators.

Let's assume we have to add the fractions: (2/9)+(3/4)

We need to determine a common** integer** that is a** **multiple of both denominators, which are 9 and 4.

This **common multiple** will aid in the solution of the problem. As a result, the least frequent multiple for 9 and 4 is 36. As a result, the **expression **can be written as follows:

(2/9)+(3/4) = (2/9 × 4/4) + (3/4 × 9/9) = (8/36) + (27/36) = 35/36

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Each letter is three. 5 m away from the base of the building. How high is window A?

**Solution**

A

Using pythagorean theorem

[tex]\begin{gathered} 5.5^2=3.5^2+A^2 \\ 30.25=12.25+A^2 \\ Re-arrange \\ A^2=30.25-12.25 \\ A^2=18 \\ Take\text{ the square root of both sides} \\ A=\sqrt{18} \\ A=4.2426 \end{gathered}[/tex]**The final answer**

** The height of window ****A ****is**

1.

find a

a =

21°

explain why using one of these

words: adjacent,

complementary, supplementary,

vertical

explanation goes here

add a pic of your work

(or just type it here)

to show HOW you got your

answer

pic (or typing) goes Hereford

[tex]21+a=90 \implies a=69^{\circ} [/tex]

This is because the angles are complementary.

1. A triangle is rotated 90° about the origin. What is true about the relationship between the image and the

pre-image?

(1 point)

The lengths of the sides and the measures of the angles are preserved, so the triangles are congruent.

The lengths of the sides are enlarged and measures of the angles are preserved, so the triangles are similar.

The lengths of the sides change and the measures of the angles change as well, so the triangles look nothing alike.

The lengths of the sides are reduced and measures of the angles are preserved, so one triangle is a reduction of the other.

**Answer:**

the first answer option : all lengths and angles stay the same.

**Step-by-step explanation:**

imagine you have a piece of plastic or glass of a triangular shape on your table.

now, lower your hand on the table, so that your thumb touches the table and one of your other fingers touches the triangle on the top.

and now twist your hand that your thumb stays at the same point, and your finger holding the triangle starts making a circular motion.

that finger is dragging the triangle along.

what happens to the triangle ? it keeps its original shape, and changes only its location and orientation.

that is what a rotation is.

1/4(n-6)=1/4n-3/2

Hint: undo the fraction

The **solution **to 1/4(n - 6) = 1/4n - 3/2 is **infinite many **solutions

The **equation **is given as

1/4(n - 6) = 1/4n - 3/2

Multiply through the **fraction equation **by 4

So, we have the following equation

4 x 1/4(n - 6) = 4 x 1/4n - 4 x 3/2

Evaluate the products in the equation

So, we have the following equation

n - 6 = n - 6

Evaluate the like terms

0 = 0

The equation cannot be **solved further**

If the **solution **to an equation is 0 = 0, then the equation has **infinite many **solutions

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**Answer: infinite many answers **

**Step-by-step explanation:**

Can I get help please ?

**SOLUTION:**

**Case: Pythagoras Triple**

**Method:**

The Pythagorean triple:

(8, 15, 17) can be formed with factor integers

8----> 4

15---->3.

**Final answer:**

**x=4, y= 3**

Help Me Pleaseeeeeee.

Based on the dimensions of the** right triangle**, the **equation **to be used to find the missing lengths is hypotenuse² = Known leg² + Unknown leg².

To find the missing length of a** right-angled triangle,** you should use **Pythagoras theorem. **

This theorem allows you to find the dimensions of missing leg as:

hypotenuse² = Known leg² + Unknown leg²

When you solve for the **missing length**, the length is:

9² = 6² + Unknown leg²

81 = 36 + Unknown leg²

Unknown leg² = 81 - 36

Unknown leg = √(81 - 36)

Unknown leg = 6.7

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A college professor hands out a list of 16 questions, 8 of which will appear on the final examination for the course. One of the students taking the course is pressed for time and can prepare for only 9 of the 16 questions on the list. Suppose the professor chooses the 8 questions at random from the 16. What is the probability that the student will be prepared for exactly 4 questions?

The **probability** that the student will be prepared for exactly 4 questions is; 0.3427

How to solve Hypergeometric Probability distribution?

**Hypergeometric distribution** is defined as a discrete **probability distribution** that expresses the probability of k successes in n draws, done without replacement, from a finite population of size N that contains exactly K objects with that feature. In this disdtribution, each draw is either a success or a failure.

The **probability mass function** of Hypergeometric distribution is given by the formula;

P(K = k) = KCk * N-KCn-k ]/NCn

Now, the probability that the student will be prepared for exactly 4 questions will be;

P(K = 4) where;

N = 16

K = 9

n = 8

Solving P(K = 4) = 9C4* 16-9C8-4 ]/16C8 = 0.3427

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A particle moves along the r-axis so that its velocity vat any given time t, for 0 St $ 16, is given byW(0) =e»-1. At time r=0, the particle is at the origin. At what time does the particle's accelerationequal zero for the first time?Round to the nearest thousandth or write as a fraction

Given: The velocity function of a moving particle as

[tex]V(t)=e^{2sint}-1[/tex]To Determine: The time at which the acceleration equals to zero

Solution

Note that at time t=0, the particle is at origin, so

[tex]\begin{gathered} V(0)=e^{2sin0}-1 \\ V(0)=e^{2\times0}-1 \\ V(0)=e^0-1 \\ V(0)=1-1 \\ V(0)=0 \end{gathered}[/tex]Determine the acceleration function

The acceleration of a particle is the rate of change of velocity or the derivative of the velocity function. Therefore,

[tex]A(t)=\frac{dV(t)}{dt},or,A(t)=V^{\prime}(t)[/tex][tex]\begin{gathered} V(t)=e^{2sint}-1 \\ let:u=2sint:\frac{du}{dt}=2cost \\ V(t)=e^u \\ \frac{dV(t)}{du}=e^u=e^{2sint} \\ A(t)=\frac{dV(t)}{dt}=\frac{dV}{du}\times\frac{du}{dt} \\ A(t)=e^{2sint}\times2cost \\ A(t)=2e^{2sint}cost \end{gathered}[/tex]When the acceleration is equal to zero, then we have

[tex]\begin{gathered} A(t)=0 \\ 2e^{2sint}cost=0 \end{gathered}[/tex]Let us plot the graph of the acceleration function

The time for given interval for which the acceleration is zero are

[tex]t=\frac{\pi}{2},\frac{3\pi}{2},\frac{5\pi}{2},\frac{7\pi}{2},\frac{9\pi}{2}[/tex]ence, thre first time the acceleration is zero is π/2 or **1.571**

PLEASE ANSWER QUICK ILL GIVE BRAINLIEST IF CORRECT

**Answer:**

domain: [-1,4]

range: [-2,4]

the graph is not a function, this is proven by using the vertical line test.

*hope this helps :)*

Does the table show a proportional relationship? If so, what is the value of y when x is 11?

x 4 5 6 10

y 64 125 216 1,000

Yes. As each number in x is cubed to give y

What is the value of 2x + 11y when x = 4 and y = 2? 303848136

We want to find the value of the expression;

[tex]2x+11y[/tex]When x = 4 and y = 2.

All we have to do is substitute these values; when we do that, we have;

[tex]\begin{gathered} 2(4)+11(2) \\ =8+22 \\ =30 \end{gathered}[/tex]**Therefore, the answer is 30.**

The original price of a DVD is $12 the sale Price is 35% of the original price final total cost of the DVD

**Answer: $4.20**

**Step-by-step explanation:**

The sale price is $12 * .35 = 4.2

The rooftop of a 5-story building is 50 feet above the ground.

How long does it take the water balloon dropped from the

rooftop to pass by a third-story window at 24 feet?

Using the model h(t) = h, 16², solve the equation

h(t) = 24. (When you reach the step at which you divide

both sides by -16, leave 16 in the denominator rather than

simplifying the fraction because you'll get a rational

denominator when you later use the quotient property.)

With the help of the **quotient, **we know that the time the water balloon dropped from the rooftop is 1.3sec.

So, h(t) = 24:

= 50Then, calculate as follows:

h(t) = - 1624 = 50 - 1616 = 50 - 2416 = 26 = 26/16t = √26/16t = 1.3secTherefore, with the help of the **quotient, **we know that the time the water balloon dropped from the rooftop is 1.3sec.

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x ÷ 5 - 13 = 2

What is x?

Answer:

75

Step-by-step explanation:

**Answer:**

75. ..... ............................

Amy is experimenting with three different strawberry smoothie recipes. She makes all three smoothies for each of her x friends. The first recipe uses 4 strawberries per smoothie, the second recipe uses 5, and the third recipe uses 6. Pick all the expressions that represent how many strawberries Amy needs for all the smoothies.

The **total number** of **strawberries** needed for **making** all the **smoothies **can be represented by the **expression** -

**y = 15x**

What is Equation Modelling?

Equation modelling is the process of writing a **mathematical verbal **expression in the form of a** mathematical expression** for **correct analysis**, **observations** and **results** of the given problem.

Given is Amy who is making all **three **smoothies for each of her **x **number friends. The **first recipe** uses** 4 strawberries** per smoothie, the **second recipe** uses **5**, and the **third recipe** uses **6.**

Number of friends **[n] = x**

Each of the **three friends** will get smoothies made from **recipe 1**,** recipe 2 **and **recipe 3.**

Then -

Number of strawberries needed for smoothie made from **recipe 1** for **x** **friends** = **n[1] = 4x**

Similarly, for **smoothies** made from **recipe 2** and **3** will need -

**n[2] = 5x **and **n[3] = 6x** number of strawberries.

Assume that **total number** of strawberries needed for **making** all the **smoothies** are** y**. Then, we can write -

y = 4x + 5x + 6x

**y = 15x**

Therefore, the **total number** of **strawberries** needed for **making** all the **smoothies **can be represented by the **expression** -

**y = 15x**

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f(x) = -x² + 8x - 12; Find ƒ(3)

The result of the **function f(3)** is 3.

Given:

f(x) = -x² + 8x - 12

x = 3

Putting the value of x in the given function to obtain the outcome of the function,

f(3) = -(3)² + 8 × 3 - 12

= -9 + 24 - 12

= 24 - 21

= 3

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If x=8, y=4 z=2 then what is 3z(x-z)-y(x/2)

3z(x-z)-y(x/2)

3(2)(8-2)-4(8/2)

6(6)-4(4)

36-16=20

I think

3(2)(8-2)-4(8/2)

6(6)-4(4)

36-16=20

I think

3(2)(8-2)-4(8/2)

3(2)(6)-4(4)

3(12)-16

36-16 = 20

3(2)(6)-4(4)

3(12)-16

36-16 = 20

Tammy has 4 more then five times the amount of dimes than nickels in her pocket. She has total of $1.50 in her pocket. Write an equation that could be used to determine the number of nickels(x) she has in her pocket.

In a case whereby Tammy has 4 more then five times the **amount** of dimes than nickels in her pocket and have total of $1.50 in her pocket the **equation** that could be used to determine the number of nickels(x) she has in her pocket is (0.05)(X+3) = 1.50.

The number of nickels(x) that can be found her pocket be determined by adding the the number of times the amount of dimes is than nickels, which can be expressed as :

let x will be number of dimes

let x+4 will be number of nickels

Therefore the number of **nickels(x)** that is required will be (0.10)X + (0.05)(X+3) = 1.50

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Over the last three evenings, Amy received a total of 112 phone calls at the call center. The first evening, she received 7 more calls than the second evening. The third evening, she received 3 times as many calls as the second evening. How many phone calls did she receive each evening?

Based on the relationship between the **number of phone calls **that **Amy **received for the three **evenings**, the number of phone calls received on each evening was:

The first evening saw **Amy **receiving 7 more calls than the second evening while the third evening saw Amy receiving 3 times as many **calls **as the second evening.

Assuming the second evening is x, the relationship can be represented by the equation:

First evening calls + Second evening calls + Third evening calls = Total number of calls

(7 + x) + x + 3x = 112

Solving for the number of phone calls on the **second evening **gives:

(7 + x) + x + 3x = 112

7 + x + x + 3x = 112

7 + 5x = 112

5x = 112 - 7

x = 105 /5

= 21 calls

Number of calls on** first evening:**

= 21 + 7

= 28 calls

Number of calls on** third evening:**

= 21 x 3

= 63 calls

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In a class there are

10 students who play football and cricket

7 students who do not play football or cricket

14 students who play football

21 students who play cricket

Find the probability that a student chosen at random plays football and cricket.

**Answer: 31.25% **

**Step-by-step explanation:**

Draw a Ven diagram in a rectangle with 2 circles one for F and the other for C. The intersection overlap will have the 10 who play both outside the circles but within the rectangle the 7 who do neither so then fill the rest of F with 4 to give a total of 14 and 11 for the C to total 21. When you add all the numbers you’ll get a class total of 32. Then the % who play both F and C is = (10/32)*100 = 31.25%

29) Tom solved the equation 6x-2(15-2x) = 10 and checked his solution as shown below6x - 30- 4x = 106 (20) - 30-4 (20) = 10120-30-80 = 1090-80 = 1010 = 10Do you agree or disagree with his check? Explain.
What is the main difference between Sternberg's theory on intelligence and his counterparts' theories? A) Sternberg believes intelligence is the measure of one ability. B) Sternberg believes intelligence is developed through real-life experience. C) Sternberg believes IQ is an effective way to measure intelligence. D)Sternberg believes there are three types of intelligence.
Henry WadsworthLongfellow was the bestknown of the FiresidePoets and wasA. awarded the Pulitzer Prize for hispoems.B. the only American poet to behonored with a plaque in Poet'sCorner in West Minster Abbey inLondon.C. awarded the Nobel Peace Prizefor his tranquil poetry.
Solve for the value of q.
What change, if any, should be made in sentence 25?(24) "This sort of thing hasn't been done before, "Downer later commented.(25) "But now," he added, "It seems the most natural thing in the world."Select one:A) change world to WorldB) change It to itC) no change should be made in sentence 25.D) change the comma after added to a period
Erikson and freud disagreed on many aspects of child-rearing, including the amount of attention the parent should give a child. According to freud, overindulging the child would leave the child orally fixated. Erikson, however, believed children would accomplish what task?.
Simplify the expression . A. B. C. D.
D519toA70E70m/ABC= m/BAD because they are alternate interior angles.m/BCA = m/CAE because they are alternate interior angles.m/BAD + x + m/CAE = 180 because the three angles form a straightline.So the value of x must be
can someone help meWrite the verbal sentence as an equation or an inequality: Four is greater than six times a number t.
the nurse is caring for a patient who has a dressing over a surgical wound created the night before. the dressing has never been changed. how should the nurse proceed
Agent Hunt is transferring classified files from the CIA mainframe into his flash drive.SSS represents the size of the files on the drive (in megabytes) after ttt seconds.S=5t+45S=5t+45S, equals, 5, t, plus, 45How many megabytes are transferred every 101010 seconds?
descriptions, comparisons and contrast statements are all ways to group of answer choices personalize your ideas inform on a wide range of ideas be creative while writing avoid abstractions
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A Short answer Question
-1.4 repeating as a fraction in simplest form
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use properties of special parallelograms to complete the proof given: EFGH is a rectangle. J si the midpoint of EH. prove: triangle FJG is isosceles
This excerpt from the story best supports which conclusion below? Silky Bob is very surprised that his old friend is now a police officer Silky Bob is very surprised that his old friend is now a police officer Silky Bob is cold in the darkness of the night Silky Bob is cold in the darkness of the night Silky Bob is certain that something good will come of this note Silky Bob is certain that something good will come of this note Silky Bob has some kind of arthritis in his hands and can't hold things
What technological inventions and media of today are different from what was present in Postman's time, and how do they exacerbate the problem that Postman discusses in his book?