**Given:**

The equation of parallel line is [tex]y=6[/tex].

The line contains the point (-1,1).

**To find:**

The equation of the line.

**Solution:**

The slope intercept form of a line is:

[tex]y=mx+b[/tex]

Where, m is the slope and b is the y-intercept.

The equation of parallel line is

[tex]y=6[/tex]

It can be written as

[tex]y=(0)x+6[/tex]

The slope of this line is 0.

The slopes of two parallel lines are always equal. So, the slope of the required line is also 0. It passes through the point (-1,1) so the equation of the line is:

[tex]y-y_1=m(x-x_1)[/tex]

[tex]y-1=0(x-(-1))[/tex]

[tex]y-1=0[/tex]

[tex]y=1[/tex]

**Therefore, the equation of the required line is 1.**

what time will a car traveling at an average speed of 30km/hr cover a distance of 45km

**Answer:**

1 1/2 hr

**Step-by-step explanation:**

The sector of a circle has an area of 104pi/9 square inches and a central angle with measure 65 degrees. What is the radious of the circle in inches? Show work. a. 5.7 b. 8 c. 64 d. 104

Answer: b. 8

Step-by-step explanation: I don’t have work

The **radius** of the **circle** in inches should be considered as the **8 **when the **measurement** of the **central angle** is given.

Since

The **sector** of a **circle** has an** area **of 104pi/9 square inches and a **central angle **with measure 65 degrees.

Also we know that

Area of the **sector **= [tex]65 / 360 *[/tex] Area of circle

[tex]104\pi \div 9 = 65\div 360 (\pi r^2)\\\\104\div 9 = 65\div 360 r^2\\\\[/tex]

r = 8

Hence, The **radius** of the **circle** in inches should be considered as the **8.**

Learn more about **circle** here: https://brainly.com/question/15593101

Lisandra made 18.3 quarts of split pea soup for her restaurant. She wants to put the

same amount of soup into each of 15 containers.

How much soup should Lisandra put into each container?

Lisandra should put

quarts into each container.

**Answer: 3.66**

**Step-by-step explanation:**

18.3 divided by 15

ill mark brainlist plss help

**Answer:**

C. 99 yd^2

**Step-by-step explanation:**

The formula for solving for area of a triangle is 1/2*b*h.

18*11=198

198/2=99

The workers' union at a particular university is quite strong. About 96% of all workers employed by the university belong to the workers' union. Recently, the workers went on strike, and now a local TV station plans to interview workers (chosen at random) at the university to get their opinions on the strike. What is the probability that exactly of the workers interviewed are union members

**Answer:**

The probability that exaclt x of the members are union members from the n interviewed is given by:

[tex]P(X = x) = C_{n,x}.(0.96)^{x}.(0.04)^{n-x}[/tex]

**Step-by-step explanation:**

For each worker, there are only two possible outcomes. Either they are union members, or they are not. Members are independent of other members. This means that we use the binomial probability distribution to solve this question.

**Binomial probability distribution**

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

**About 96% of all workers employed by the university belong to the workers' union.**

This means that [tex]p = 0.96[/tex]

**What is the probability that exactly of the workers interviewed are union members**

We want probability of x, from n workers interviewed. So

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = x) = C_{n,x}.(0.96)^{x}.(0.04)^{n-x}[/tex]

find the values of b

b²= 256

b=?

**Answer:**

if b²=256

then b=16

....................

Answer:128

Step-by-step explanation:

bsqured=256 squre root. b=256÷2. =128

In ΔEFG, e = 4.7 inches, f = 4.8 inches and g=3.6 inches. Find the measure of ∠E to the nearest 10th of a degree.

**Answer:66.3**

**Step-by-step explanation:**

Sarah has an $80 gift card to a store at the mall. She uses the gift card to buy a

shirt for $14, and also wants to buy some earrings for her and her friends. Each

pair of earrings cost $6. Which one of these inequalities represents the situation,

where e is the number of pairs of earrings Sarah can buy?

Answer:

80-14= 66

66

11x6= 66

So she can get 11 pairs of earrings

I think I’m doing this wrong but I hope this gives u an idea

Step-by-step explanation:

**Answer:**

She can buy 11 pairs

**Step-by-step explanation:**

$80-14=66

Each costs 6, so 66/6=11

Sarah can buy 11 pairs.

Question 3

5 pts

(05.01 MC)

What will be the perimeter and the area of the rectangle below if it is enlarged using a scale factor of

4.5? (5 points)

6 cm

H

8 cm

O Perimeter - 126 cm, area = 131.25 cm?

O Perimeter = 46 cm, area = 972 cm?

Perimeter = 126 cm, area = 972 cm2

Perimeter - 46 cm, area = 131.25 cm2

**Answer:**

Perimeter is 126cm and area is 972[tex]cm^2[/tex]

**Step-by-step explanation:**

Scale factor means you multiply the dimensions by the factor. In this case 4.5

The width 6cm becomes 27cm. The length 8cm becomes 36cm.

Perimeter = 2*L + 2*W, L is length and W is width.

[tex]P=27*2cm+36*2cm\\P=54cm+72cm\\P=126cm[/tex]

Area = L*W

[tex]A=27cm*36cm\\A=972cm^2[/tex]

Find the factor pairs of the following number: 70

**Answer:**

70 = 7 x 5 x2 x 1. When asked to find out the total number of factors of 70, you have to write down all the multiples of 70 such as, Factors of 70 are: 1, 2, 5,7,14, 10, 35 and 70 = 8 factors.

Find the value of 2.

35°

xº

(x + 95)°

**Answer:**

x = 25°

**Step-by-step explanation:**

The sum of the interior angles of a triangle = 180°

180° = 35° + x° + x + 95°

2x° = 50°

x = 25°

WILL MARK BRAINLIST JUST HELP NOW

If angle A in the diagram equals 45 degrees and angle B is 4x + 5 degrees, determine the value of X.

A) 10 degrees

B) 25/5 degrees

C) 40 degrees

D) 160 degrees

**Answer:**

definitely A

**Step-by-step explanation:**

10 degrees. hope this helps lovely <3

Help! I will give you A 100 points

**Answer:**

3. A = (0,-3)

B = (4,-2)

C = (-1,1)

4. A = (0,-6)

B = (4,-5)

C = (-1,-2)

**Step-by-step explanation:**

3) Reverse coordinates (-3,0), (-2,4), (1,-1) to A=(0,-3), B=(4,-2), C=(-1,1).

4) These coordinates (0,-3), (4,-2), (-1,1) need to be moved 3 units down.

So number four answer is A=(0,-6), B=(4,-5), C=(-1,-2).

I hope this helped you.

**your answers:**

**3. A = (0,-3)**

** B = (4,-2)**

** C = (-1,1)**

**4. A = (0,-6)**

** B = (4,-5)**

** C = (-1,-2)**

Jim can buy 2 cakes for $40. At that rate, how much will it cost to buy 7

cakes?

**Answer:**

$140

**Step-by-step explanation:**

2 diveded by 40 is 20. 20 multiplied by 7 is 140.

**Answer:**

$140

**Step-by-step explanation:**

1 cake = $20

7 cakes * $20 per cake

= $140

mario is saving his money in order to buy a new video game, he decides to save $5 of his allowance every week. the equation he writes to describe the total amount of money he will save each week is shown below.

There’s are 7 days in a week and he said he saves $5 dollars so 7x5 is 35. So he gets $35 dollars a week.

Which equation can be used to solve x + 3 = 15?

**Answer:**

The equation 15 - 3 = x will help solve for x.

x = 12

**Step-by-step explanation:**

15 - 3 = **12**

**Hope this helped! Have a nice day! Plz mark as brainliest!!!**

**-XxDeathshotxX**

**Answer:**

x = 15 - 3

**Step-by-step explanation:**

We need to isolate the variable for this. Simply subtract by 3 to get the equation.

x + 3 = 15

- 3 - 3

x = 15 - 3

the real answer would be 12, if you need that.

The line plot shows the amount of time (in hours) that Jodi practiced the flute over 8 days.

Answer:5 1/2 hours

Step-by-step explanation:

Please help solve this!

By dropping a perpendicular from the top of the isosceles triangle to the base and using the Pythagorean Theorem we quickly determine that the height of the triangle is 4.

Therefore the area of the isosceles triangle is

6•4/2=12

However, we can split the isosceles triangle into three separate triangles indicated by the red lines in the diagram below. Because the radius always meets a tangent at a right angle the area of each triangle will be the length of the side multiplied by the radius of the circle. So the total area of the isosceles triangle is given by

6r/2+2•5r/2=8r=12

8r=12

r=12/8

r=3/2

Find the surface area of the pyramid.

A triangular pyramid. The base triangle has a base of 20 yards and a height of 17.3 yards. The height of a triangular face is labeled 12 yards.

Answer:

532.79yards²

Step-by-step explanation:

Surface area of a pyramid = A + 1/Ph

A is the base area

P is the perimeter of the base

h is the height of the pyramid

Given the following

Height of triangular base = 17.3yards

Base of the triangle = 20yards

Height of prism = 12yards

Base Area = 1/2 × 20×17.3

Base Area = 10×17.3

Base Area = 173yd²

For the Perimeter P

Get the slant height using Pythagoras theorem

s² = (20/2)²+17.3²

s² = 10²+17.3²

s² = 100+299.29

s² = 399.29

s = √399.29

s = 19.98

Perimeter = 19.98+19.98+20

Perimeter = 59.96yards

Substitute

Surface Area = 173+1/2((59.96)(12)

Surface Area = 173+6(59.96)

Surface Area = 173+359.79

Surface Area = 532.79yards²

What is the volume of a triangular pyramid that is 10 in. tall and has a base area of 9 square in.?

**Step-by-step explanation:**

anewer is 30 cubic inches.

Mai wants to tile the floor of her kitchen. Each tile has an area of 1 square foot. The floor of her kitchen is 11 feet by 16 feet. How many tiles does she need?

This is what my kid asked me

**Answer:**

176 tiles

**Steps by step:**

Be Strong Now, Because Things Will Get Better. It Might Be Stormy Now, But It Can't Rain Forever.

**Answer:**

aw ty but is there a question?

**Step-by-step explanation:**

I don’t know, maybe other people will help

PLEASE ANSWER QUICKLY!

Kendra knits hats. She starts with 3 3/4 yards of yarn. After knitting for 5 1/4 hours, there is 1 1/8 yards of yarn left. At what rate does the amount of yarn change?

**Answer:**

The amount of yarn changes at 0.5 yards per hour.

**Step-by-step explanation:**

Since Kendra knits hats, and she starts with 3 3/4 yards of yarn, but after knitting for 5 1/4 hours, there is 1 1/8 yards of yarn left, to determine at what rate does the amount of yarn change the following calculation must be performed:

3/4 = 0.75

1/4 = 0.25

1/8 = 0.125

3.75 - 1.125 = 2.625

2.625 / 5.25 = 0.5

Thus, the amount of yarn changes at 0.5 yards per hour.

the price of a board game was reduced from $40 to $25. by what percentage was the price of the board game reduced?

15% - 40. -25 = 1500 percent take out the zero because they have zero value and your left with 15 which is 15%

11 divided by 30.8 PLEASE I NEED HELP

**Answer:**

2.8

**Step-by-step explanation:**

**Answer:**

30.8/11=2.8

11/30.8=0.357142857

**Step-by-step explanation:**

give me brainlest please

URGENT!!!!!! What is the length of the major axis of the conic section shown below?

the length of the major axis is equal 2 · 7 = 14

**Step-by-step explanation:**

Nun

I really need help with this trigonometric function, i am struggling and it would mean a lot.

In mathematics, the trigonometric functions (also called circular functions, angle functions or goniometric functions) are real functions that relate an angle of a right-angled triangle to ratios of two side lengths. There are six trigonometric ratios, sine, cosine, tangent, cosecant, secant and cotangent. These six trigonometric ratios are abbreviated as sin, cos, tan, csc, sec, cot.

I would suggest calculator soup they have a trigonometric function calculator

And here is how to solve trigonometric function,

Put the equation in terms of one function of one angle.

Write the equation as one trig function of an angle equals a constant.

Write down the possible value(s) for the angle.

If necessary, solve for the variable.

The population of a bacterial culture grows at a rate of 4.5% every hour. If there were

200 bacteria at the start, how many bacteria are present after 10 hours?

310

250

300

370

I’m guessing 250

Hope it helpful

Hope it helpful

There are 310 **bacteria **are present after 10 hours.

The first is the correct option.

What is Exponential Growth?An **exponential **function's curve is created by a pattern of data called exponential **growth**, which exhibits higher increases over time.

y = a(1+r)ˣ,

where a is the initial **population **and r is the rate in decimals and x is the time period.

Given:

The **population **of a bacterial culture grows at a rate of 4.5% every hour.

If there were 200 bacteria at the **start**,

then the number of **bacteria **after 10 hours are,

y = 200(1 + 0.045)¹⁰

y = 310.6

Therefore, 310.6 **bacteria **are present after 10 hours.

To learn more about the **exponential growth;**

https://brainly.com/question/12490064

#SPJ2

Javier will ask a survey question to determine the average number of times per month people around the United States shop for groceries. Which sample should Javier use to get results that are the most representative of the total population? A. A random sample of 1,000 people from each of the 50 states B. A random sample of 1,000 people from his town C. A random sample of 1,000 people from his state D. A random sample of 1,000 people from 5 local grocery stores

**Answer:**

a

**Step-by-step explanation:**

Because if he picks b which is only from his own town the rest of the states will not be included. If he pick only from his own states then he only represents his own states and for d 5 local grocery store we don't know which country it represents A is the correct answer.

The **sample **which **Javier **use to get **results **is a **random sample **of 1,000 people from each of the 50 **states.**

What is random sample?

**Random sample **is the way to choose a number or **sample **in such a manner that each of the sample of the group has an equal probability to be **chosen**.

Here, sample which **Javier **will ask a survey question to determine the **average number **of times per month **people **around the United States shop for **groceries**.

To find the sample, which **Javier **use to get results that are the most **representative **of the total **population**, we have to check all the options.

Lets, check all the **options**,

Hence, the sample which **Javier **use to get **results **is a **random sample **of 1,000 people from each of the 50 **states.**

Learn more about the **random sample **here;

https://brainly.com/question/17831271

I need help I dont quite understand it

X=3

Explanation :-

20/5=4

8/2=4

They are both 4 so you will do

(5x-11)=4

-11+11=0

4+11=15

5x=15

15/5=3

x=3

Hope it helps

Explanation :-

20/5=4

8/2=4

They are both 4 so you will do

(5x-11)=4

-11+11=0

4+11=15

5x=15

15/5=3

x=3

Hope it helps

Annabelle has 56 1 cm what are the dimensions of the rectangle Langer prism Annabelle could build with all the cubes
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