Mathematics College

## Answers

**Answer 1**

Problem 17

The graph is shown below.

The domain is [tex]x \ge -1[/tex] which is found by solving [tex]x+1 \ge 0[/tex]. This is done to ensure that the stuff under the square root is not negative. Note the left-most point of the graph has x = -1 as its x coordinate.

The domain in interval notation is [tex][-1, \infty)[/tex] we have a square bracket at -1 and a curved parenthesis at infinity.

The range is [tex]y \le 3[/tex] based on what the graph shows. This is directly tied to the +3 at the end of the function. The parent's function max value is y = 0, so that plus 3 shifts everything up 3 units so that the new translated function has a max of y = 3.

The range in interval notation is [tex](-\infty, 3][/tex] we use a square bracket to include 3 as part of the interval.

Throughout the entire function, the curve is going downhill as we move from left to right. The graph shows this. We could also use a table of values to see that as x gets bigger, y gets smaller.

So the function is never increasing. The function decreases on the interval (-1, infinity) which is the entire domain.

=====================================================

Problem 18

The graph is shown below. It's in a separate attachment.

The domain and range are the set of all real numbers. The graph shows that the curve extends forever to the left and right. Also, the graph extends forever upward and downward (regardless if that growth seems really slow).

The domain and range in interval notation is [tex](-\infty, \infty)[/tex] to indicate the entire real number line.

The graph goes uphill as we read from right to left, so the function is increasing on the interval [tex](-\infty, \infty)[/tex]. In other words, no matter where you are, you're going uphill if you move from left to right. This rules out the function ever decreasing.

We can use a table of values to see that the function is increasing if we cannot rely on the graph. As x gets bigger, so does y.

**Answer 2**

**Answer:**

1)

The angle of inclination is the angle between the horizontal and the ramp.

Using the sine ratio in the right triangle formed by the ground and the ramp

let x be the angle of inclination, then

sinx = \frac{opposite}{hypotenuse}

hypotenuse

opposite

= \frac{0.7}{4.2}

4.2

0.7

, then

x = sin^{-1}sin

−1

(\frac{0.7}{4.2}

4.2

0.7

) ≈ 10° ( to the nearest degree )

(2)

Again there is a right triangle between the ground and the vertical height of the kite, with hypotenuse being length of string.

let y be the height of the kite and x the horizontal distance, then

sin27° = \frac{opposite}{hypotenuse}

hypotenuse

opposite

= \frac{y}{176}

176

y

( multiply both sides by 176 )

176 × sin27° = y , then

y ≈ 80m ( to the nearest metre ) ← height of kite

and

cos27° = \frac{adjacent}{hypotenuse}

hypotenuse

adjacent

= \frac{x}{176}

176

x

( multiply both sides by 176 )

176 × cos27° = x , then

x ≈ 157m ( to the nearest metre ) ← horizontal distance

## Related Questions

Plz help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

### Answers

**Answer:**

h(x)≥ 5

**Step-by-step explanation:**

If h(x) = x+2

Range is the output value for all input variables x

If x <3

h(x) < 3 + 2

h(x) < 5

Also h(x) = -x+8, if x ≥3

h(x ) = -3 + 8

h(x)≥ 5

Combining both inequalities

h(x)≥ 5

5 ≤ h(x) < 5

Hence the required range is h(x)≥ 5

PLEASE HELP ON #3 ASAP!

### Answers

9514 1404 393

**Answer:**

1a: x+3 = 5

1c: 6 = 2z

2b: x = 2

2d: 3 = z

3: the solutions make the hangars balance

**Step-by-step explanation:**

1. We can write the equations by listing the contents of the hangar and using an equal sign to show the balance between left side and right side. It can work well to put left side contents of the hangar on the left side of the equal sign.

A: x + 3 = 5

C: 1 + 1 + 1 + 1 + 1 + 1 = z + z simplifies to 6 = 2z

__

2. B: We can subtract 3 from both sides of the hangar (and equation) to find the value of x.

(x +3) -3 = 5 -3

x = **2** . . . . . hangar balances with 2 on the right

D: We can divide both sides of the hangar by 2, splitting the content into two equal parts. Then one of those parts can be removed from each side.

2(3) = 2(z)

**3** = z . . . . . . hangar balances with 3 on the left

__

3. The found values will keep the hangar in balance when they are substituted for the corresponding variables.

A: 2 + 3 = 5

C: 1 + 1 + 1 + 1 + 1 + 1 = 3 + 3

pls help :(

more than one answer btw

### Answers

**Answer:**

A, C, E

**Step-by-step explanation:**

hope this helps!

**Answer:**

I think it is A, C, E

**Step-by-step explanation:**

A certain forest covers an area of 3500 km² suppose that each year this area decreases by 6.75% what will the area be after 15 years￼?

### Answers

**Answer:**

Sure na bayan napo bayan

Mrs. Hanson has a potato salad recipe that calls for 2 3/8 pounds of potatoes, but she wants to make 1 1/2 times as much as the recipe calls for. The diagram represents the number of pounds of potatoes that Mrs. Hanson needs. How many pounds of potatoes does Mrs. Hanson need? Enter your answer as a mixed number in simplest form by filling in the boxes. Need an answer fast!!!

### Answers

The **pounds of potatoes **that** Mrs. Hanson** needs is 3 9/16 pounds.

How many pounds of potatoes does Mrs. Hanson need?

A **mixed number **is number that consists of a whole number and a proper fraction. A **proper fraction **is a fraction in which the numerator is less than the denominator. An example of a **mixed number ** is 2 3/8.

In order to determine the **pounds of potatoes **that Mrs. Hanson needs, **multiply **2 3/8 by 1 1/2. **Multiplication **is the mathematical process that is used to determine the product of two or more numbers. The sign that is used to represent **multiplication **is x.

**Pounds of potatoes **that Mrs Hanson needs = 2 3/8 x 1 1/2

**Pounds of potatoes **that Mrs Hanson needs = 19/8 x 3/2

**Pounds of potatoes **that Mrs Hanson needs = 57 / 16 = 3 9/16 pounds

To learn more about **multiplication**, please check: https://brainly.com/question/13814687

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Ali and Sami share some sweets in the ratio 4: 7. Sami receives 15

more sweets than Ali. How many sweets do they each get?

### Answers

**Answer:**

Ali = 12, Sami = 21

**Step-by-step explanation:**

Ali = 4x, Sami = 7x

lets make an equation

7x-4x=15

3x=15

x=3

Now when we know x we can find how many candies each got

3*4=12, 3*7=21

If 2.5 kg of tomatoes cost $8.25, how much will you pay for 7 kg?

### Answers

**Answer:**

$2.10

**Step-by-step explanation:**

first we want to find for one kg. one kg is $0.30.

Multiply that by 7 and you get $2.10

**Answer:**

$23.10

**Step-by-step explanation:**

8.25 ÷ 2.5 = 3.3

7 x 3.3 = 23.10

you have to find out how much money you pay per kg

you pay $3.30 per kg

therefore you have to multiply the kg (7) by the price (3.30) and that's why you get $23.10

hope this helps :)

What is the probability of spinning a number greater than 5 on a spinner numbered 1-8 and tossing a tail on a coin

### Answers

**Answer:**

3/16

**Step-by-step explanation:**

P(6,7,8 and 'T') = 3/8 x 1/2 = 3/16

**Answer:**

12/64

**Step-by-step explanation:**

We have numbers 1-8 = /8

We have the numbers 6, 7, 8 on the spinner = 3/8

We have the event it doesn't get over 8 too = 8/8-3/8 = 5/8

To use if the question has two events for spinner.

We toss a coin = H or T = 1/2

We convert a 3/8 and 1/2 to same HCF = 4/8 = ( 2x 4 = 8)

3/8 x 4/8 = 12/64

"My friend here Justin, he's already taken, and he's cracked at Fornite my guy.

I've been contemplating this video a ton of late. I've been considering the video since it gives a provocative message and keen editorial about enslavement and fixation.

To start with, we should take this word by word. The initial segment of the primary sentence; the principal shimmer of gold, is "My companion here Justin" An everyday sentence from the outset, however kindly recollect what I said, to arrive at the pot of gold at the focal point of the cavern of incongruity is justified, despite any trouble. This little portion of the sentence addresses that the storyteller has a companion named Justin. The principal word is possessive; my, and companion here addresses the kid before the camera is indeed Justin, showed by the storyteller naming Justin just after saying companion here. how the storyteller we never see, and even the way that we never see the storyteller entreats us to embed ourselves into them, to place ourselves into their point of view.

"He's now taken" This passage is clear as crystal, aside from one section. "He" shows the subject of the sentence; Justin, is "now" demonstrating that Justin has as of now and is "taken". The virtuoso of this sentence is unpretentious yet significant pleasantry in "taken", as in the old style utilization of this sentence it would imply that Justin is associated with a sentimental or sexual relationship.

"Also, he's cracked at Fortnite" the biggest portion, consequently the one generally stuffed with significance, this selection is the zenith of the multitude of different passages of the sentence. "Also, expands on the last selection demonstrating this is the continuation of the story, and "He's cracked at Fortnite" is the star proclamation of this extract.

"My person". "My person" can allude to numerous things, the storyteller could be alluding to Justin or some obscure outsider. I would excuse the chance of the storyteller alluding to an outsider nonetheless, on the grounds that so far there has been no sign of any outsider in the sum of the video. All things being equal, I think "My person" is alluding to you, the watcher, audience, and peruser. The explanation the storyteller removes time from his day to effectively allude to the eyewitness is on the grounds that the storyteller makes a particular highlight incorporate you, in this manner demonstrating that you are, with regards to the story, in the room noticing Justin.

In general, this show-stopper addresses the narrative of a man's compulsion breaking him while fusing the absolute best incongruity and pleasantry I've ever seen, all done in one video, eight seconds, one sentence, and fourteen words. The incongruity choice and diverting, and the pleasantry smart, this is a provocative piece of media that I would never expect to completely examine, for this remarkable piece of media is worth undeniably more than 200 40,000 words.

### Answers

**Answer:**

i dk what to say

**Step-by-step explanation:**

**Answer:**

hhahahha i need my points on my alt account

**Step-by-step explanation:**

let me answer!!!!!!!!!

The map of a town is placed on a coordinate grid. Use the map to find

the distance between the post office and the lake.

### Answers

-4 , -8 because -4 is on the x axis and -8 is on the y axis

Mr. Hamilton sponsors the creative writing club. He decided to make booklets of his students'

poems and stories to hand out at the school's activity fair. He went to a local printing shop

that charges $0.25 per page in the book and $1.00 to bind the pages together. The booklet

Mr. Hamilton is making has p pages, and he plans to make 50 booklets.

Pick all the expressions that represent how much Mr. Hamilton will spend making the

booklets.

12.50p + 50.00

50(1.25p)

50(0.25p + 1.00)

12.50p + 50.00p

### Answers

**Answer:**

50(1.25p) and 50(0.25p + 1.00)

**Step-by-step explanation:**

They both equal the same answer.

50(1.25p) = 62.5

50(0.25p + 1.00) = 62.5

when in parentheses, you multiply

50 * 1.25 = 62.5

50 * 0.25 + 1.00 = 62.5

The **expression** for the given scenario is 50(0.25p+1.00). Therefore, option A and C are the correct answers.

What is an expression?

An expression is a combination of **terms** that are combined by using mathematical operations such as subtraction, addition, multiplication, and division.

Given that, Mr. Hamilton sponsors the creative writing club.

He went to a local printing shop that charges $0.25 per page in the book and $1.00 to bind the pages together.

The booklet Mr. Hamilton is making has p pages, and he plans to make 50 booklets.

So, the **expression** is 50(0.25p+1.00)

= 12.50p+50.0

Therefore, option A and C are the correct answers.

To learn more about an **expression** visit;

https://brainly.com/question/28170201.

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Each year the US Environmental Protection Agency (EPA) releases fuel economy data on cars manufactured in that year. Below arc summary statistics on fuel efficiency (in miles/gallon) from random samples of cars with manual and automatic transmissions manufactured in 2012. Do these data provide strong evidence of a difference between the average fuel efficiency of cars with manual and automatic transmissions in terms of their average city mileage?

### Answers

**Answer:**

Follows are the solution to this question:

**Step-by-step explanation:**

Please find the complete question in the attachment file.

[tex]n_1 = 26 \\\\ x_1 = 16.12 \\\\s_1 = 3.58\\\\n_2 = 26\\\\ x_2 = 19.85 \\\\ s_2 = 4.51[/tex]

[tex]H_0: u_1 = u_2\\\\H_1: u_1 \neq u_2[/tex]

**Using formula:**

[tex]\to S^{2}_{p}=\frac{S^{2}_{1}(n_1 -1)+ S^{2}_{2}(n_2-1)}{n_1+n_2-2}[/tex]

[tex]\to Sp^2 = \frac{((26-1) \times (3.58^2) + (26-1) \times (4.51^2))}{(26+26-2)}[/tex]

[tex]= \frac{((25) \times 12.8164 + (25) \times 20.3401 )}{(26+24)}\\\\ = \frac{(320.41 + 508.5025)}{(50)}\\\\ = \frac{(828.9125)}{(50)}\\\\=16.57825[/tex]

[tex]\to Sp = 4.0716[/tex]

Calculating the value of standard error:

[tex]\to SE = Sp \times \sqrt{\frac{1}{n_1}+\frac{1}{n_2}}[/tex]

[tex]=4.0716 \times \sqrt{\frac{1}{26}+\frac{1}{26}}\\\\=4.0716 \times \sqrt{\frac{1+1}{26}}\\\\=4.0716 \times \sqrt{\frac{2}{26}}\\\\=4.0716 \times \sqrt{\frac{1}{13}}\\\\=4.0716 \times 0.277 \\\\=1.1278332\\\\= 1.1293[/tex]

Calculating the value of test statistic:

**Formula:**

[tex]\to t = \frac{(x_1-x_2)}{SE}[/tex]

** **[tex]= \frac{(16.12 -19.85)}{1.1293}\\\\= \frac{(-3.73)}{1.1293}\\\\=-3.303[/tex]

Calculating the value of Degree of freedom:

[tex]= n_1+n_2 -2 \\\\= 26+26 -2 \\\\= 52 -2 \\\\= 50[/tex]

Because the P-value is a 2-tailed test = 0.0018

Thus they reject H0, because of P-value < 0.05,

Yeah, certain data show clearly that the means are different.

How many ways can the teacher choose a group of 5 students to present on the first day if Marjorie must present on the first day?

### Answers

15 ways a teacher can chose the group

**Answer:**

126

**Step-by-step explanation:**

La magnitud de un ángulo depende de la longitud de sus lados verdad o falso

### Answers

Veremos que la **propocición **es **falsa**. La **magnitud** de un** ángulo **no tiene dependencia con la** longitud **de sus lados.

**¿De que depende la magnitud de un ángulo?**

La** magnitud** de un** ángulo** depende unicamente de la** apertura **entre sus lados. Un ejemplo de esto puede ser un par de triangulos equivalentes, donde las figuras son las mismas, pero las **dimensiones **de los lados no lo son.

En triangulos equivalentes podemos ver que todos los** angulos **interiores son exactamente igulaes, pese a que la longitud de los lados es diferente, asi vemos que la **magnitud **de un **ángulo **no tiene dependencia con el largo de sus lados.

Sí quieres aprender más sobre **ángulos**, puedes leer:

https://brainly.com/question/15755958

6. Cindy and Sam are 24 miles apart on a path when they start moving

toward each other. Cindy runs at a constant speed of 10 miles per

hour, and Sam walks at a constant speed of 6 miles per hour.

How long does it take until Cindy and Sam meet?

### Answers

**Answer:**

2 hours to meet each other

**Step-by-step explanation:**

**Answer:**

1.5

**Step by step explanation:**

Worl

10.

9. A bottle contains 3.5 liters of water. A second

bottle contains 3,750 milliliters of water. How

many more milliliters are in the larger bottle

than in the smaller bottle?

Math Explain how units of length and

### Answers

**Answer:**

250 milliliters

**Step-by-step explanation:**

3.5 liters = 3.5 × 1000 milliliters=3500milliliters

3750-3500 = 250 milliliters

Fourth eight time four

### Answers

**Answer:**

**2**

**Step-by-step explanation:**

We have a multiplication problem within a whole number and a fraction.

When multiplying fractions with whole numbers, you always multiply the whole number with the numerator of the fraction.

[tex]\frac{numerator}{denominator}[/tex]

[tex]\frac{4}{8} *4[/tex]

[tex]\frac{4*4}{8}[/tex]

[tex]\frac{16}{8}[/tex]

Divide 16 by 8 :

[tex]2[/tex]

Write 10 3 without an exponent what number Is this ? 5.102+ 3

### Answers

The **value of 10^3** in standard form is **1000**

Exponents and values

Give the **exponential form** 10^3

This means the product of 10 in 3 places. Mathematically;

10^3 = 10 * 10 10 * 10

10^3 = 100 * 10

10^3 = 1000

Hence the **value of 10^3** in standard form is **1000**

Learn more on **standard form** here: https://brainly.com/question/19169731

i will be back to help you guys

### Answers

**Answer:**

thx u xox ur so sweet

**Step-by-step explanation:**

You are making peanut butter and jelly sandwiches. The cost of 4 containers of peanut butter and 7 containers of jelly is $6.95. Eight containers of peanut butter and 6 containers of jelly cost $8.45. Find the cost of each container of peanut butter.

HELPP ME

PLEASEEEEEEEHEHASHEJ

HELPPP

### Answers

**Answer:**

peanut butter cost $0.55

**Step-by-step explanation:**

j=jelly

p=peanut butter

4p+7j=$6.95

8p+6j=$8.45

solve for p:

8p=8.45-6j

p=(8.45-6j)/8

substitute for p

4(8.45-6j)/8+7j=6.95

reduce

(33.8-24j)/8+7j=6.95

4.225-3j+7j=6.95

4j=6.95-4.225

4j=2.725

j=0.68125

8p+6(0.68125)=8.45

8p+4.0875=8.45

8p=4.3625

p=0.5453

A chain lying on the ground is 10 m long and its mass is 60 kg. How much work (in J) is required to raise one end of the chain to a height of 4 m?

### Answers

**Answer:**

Approximately [tex]4.70 \times 10^{2}\; \rm J[/tex], assuming that [tex]g = 9.81\; \rm m \cdot s^{-2}[/tex].

**Step-by-step explanation:**

When the force [tex]F[/tex] is constant, moving by [tex]\Delta x[/tex] in the direction of the force would do a work of [tex]F \cdot \Delta x[/tex].

However, in this example, as an increasing portion of the chain gets lifted up, the force lifting the chain would increase in size. Hence, apply the integral form of this equation.

Let [tex]F(x)[/tex] denote the force required to lift the chain when the height above the ground is [tex]x[/tex] meters. At that moment, exactly [tex](x / 10)[/tex] of the chain would be above the ground. The mass of that much of the chain would be [tex](x / 10)\![/tex] the mass of the whole chain.

[tex]\begin{aligned}F(x) &= m(x) \cdot g \\ &= 60 \cdot \frac{x}{10} \cdot g = 6\, g\, x\end{aligned}[/tex].

Integrate with respect to [tex]x[/tex]:

[tex]\begin{aligned}\int \limits_{0}^{4} F(x) \cdot {\rm d} x &= \int \limits_{0}^{4} 6\, g\, x \cdot {\rm d} x \\ &= \left[(3\, g)\, x^{2}\right]_{x=0}^{x=4}\\ &= 48\, g \approx 4.7 \times 10^{2} \end{aligned}[/tex].

In other words, it would take approximately [tex]4.7 \times 10^{2}\; \rm J[/tex] of energy to raise one end of the chain to that height of [tex]4\; \rm m[/tex].

simplify

6x²+x-2/2x²+x-1

### Answers

**Answer:**

[tex]5x^{2} +2x-1[/tex][tex]5x^{2}+2x-1[/tex]

What is 10 1/3 in decimal form?

### Answers

It will be 10.333333 or 10.33

15 points!!! Help!! Find x. Round to the nearest tenth

### Answers

**Answer:**

So let the hypotenuse be

x

:

sin

(

47

°

)

=

opposite side

x

sin

(

47

°

)

=

12

x

To solve for

x

, divide

sin

(

47

°

)

by

12

:

x

=

12

sin

(

47

°

)

x

≈

16

**Step-by-step explanation:**

**Answer: **16

**Reason:** bc it just is

Select ALL of the correct answers. COULD BE more than one answer.

### Answers

Answer:

This study uses a control group

This study uses a repeated measures design

Step-by-step explanation:

Hope it help

Please mark me as brainliezt

Sorry if my answer is wrong

the size of a rectangular photo frame is 12 11/16cm by 8 3/4cm. Which of the following gives the product of these dimensions rounded to the nearest whole number of centimeters

answers

A) 12 cm x 8 cm

B) 12 cm x 9 cm

C) 13 cm x 8 cm

D) 13 cm x 9 cm

### Answers

**Answer:**

D

**Step-by-step explanation:**

the answer can't be A or C because we know that 8 3/4 rounds to 9

so we have to figure out if 12 11/16 is closer to 12 or 13

anything above 8/16 should round up; therefore, 11/16 should round the 12 to be 13

AB = AD

Show that ABCD is a kite.

Give a reason for each stage of your working.

### Answers

It’s a kite because angle B is equal to angle D (both 105) and it all adds up to 360 making it a quadrilateral.

I hope this helps

The ratio of tin to copper in an alloy is 6:9. How many kg of copper are there if the alloy has 32 kg of tin? Make a ratio table to solve.

### Answers

**Step-by-step explanation:**

the three rows above you may draw as the ratio table

f(x) = -2x + 2

g(x) = 3x^2– 3x

Find f (4) and g(-3)

helpp please i would appreciate it

### Answers

**Answer:**

f(4) = -6, g(-3) = 36

**Step-by-step explanation:**

To find f(#) or g(#), plug the number into each x of the equation.

f(x) = -2x + 2

f(4) = -2(4) + 2

Simplify the parentheses by multiplying.

f(4) = -8 + 2

Add.

f(4) = -6

g(x) = 3x² - 3x

g(-3) = 3(-3)² - 3(-3)

Simplify the exponent first.

g(-3) = 3(9) - 3(-3)

Simplify the parentheses by multiplying.

g(-3) = 27 + 9

Add.

g(-3) = 36

Use the distributive property to write an equivalent expression for 28+14y (find the greatest common factor)

### Answers

14(2+y) hope this helps