Mathematics College

## Answers

**Answer 1**

**Answer:**

b

**Step-by-step explanation:**

**Answer 2**

The **function **represented by the **graph **is

y = { x² + 6 , x < 3

-x + 6 , x ≥ 3}

What is a function ?

In mathematics, a function is an expression, rule, or law that establishes the **relationship **between an **independent** variable and a **dependent **variable. In mathematics, functions exist everywhere, and they are crucial for constructing physical links in the sciences.

According to the **graph**

When x < 3 then y = + 6

and, at x = 3 we get an **open** **interval**.

So, y = x² + 6 is valid for x < 3 not at x =3.

Also , y = -x + 6 is valid for x ≥ 3 and we get a **close interval**.

Thus, the **function **represented by the **graph **is

y = { x² + 6 , x < 3

-x + 6 , x ≥ 3}

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## Related Questions

What is the area of the shaded sector of Point B below?

### Answers

**Answer:**

A) 175π / 9 squared inches,

**Step-by-step explanation:**

Radius = 10 inches

AB = BD = 10 = radius

Triangle ABD is isosceles

Angle DAB = Angle BDA = 35 degrees,

Base angles theroem

35 + 35 + x = 180, angles in triangle

x = 180 - 70

x = 110 degrees

Angle DBC is supplementary with ABD

110 + x = 180

x = 70

70 degrees is angle for the sector

70 is 70/360, 7/36 of the circle

The area will also be 7/36 of the circle area

Area of circle = πr^2

Area = 100π

Area of sector = (100π * 7) / 36

Area of sector = 700π / 36

Simplified area = 175π / 9 squared inches

what is the area of the figure

### Answers

**Answer:**

112.5ft^2

**Step-by-step explanation:**

10 x 9 = 90

9 × 5 × .5 = 22.5

90 + 22.5 = 112.5

What is the measure of ZC?

184°

B

E

O 30 degrees

O 50 degrees

O 55 degrees

O 80 degrees

74°

D

?

C

### Answers

**Answer:**

55°

**Step-by-step explanation:**

[tex]m\angle C = \frac{1}{2} (184 \degree - 74 \degree) \\ \\ \implies \: m\angle C = \frac{1}{2} (110 \degree) \\ \\ \implies \: m\angle C = 55 \degree[/tex]

Nine of the numbers 1, 2, 3, 4, 5, 6, 7, 8, 9, 10 are to be put in two groups so that the sum of the numbers in each group is a multiple of four.

What is the largest number that could be left out?

### Answers

**Answer:**

13,62,75,48,1092

**Step-by-step explanation:**

1+3=4, 6+2=8, 7+5=12, 4+8=12& 1+0+9+2=12.

Help Me On This!!

[tex] \: \: \: \: [/tex]

### Answers

volume: 200 m³surface area: 220 m²

**The above diagram shows a ****rectangular prism**

Formula's:

Volume: Length **x** Width **x** Height

Surface area: 2(Length **x** Width + Height **x** Width + Height **x** Length)

**Solve for Volume:**

5 **x **10 **x **4

200 m³

**Solve for surface area:**

2(10**x** 5 + 4 **x** 5 + 4 **x** 10)

2(50 + 20 + 40)

2(110)

220 m²

In an examination,33 1/3 percentage of the examinees passed.If 240 examinees failed,find the total number of the examinees!!

### Answers

**Answer:**

[tex]SOLUTION:-[/tex]

[tex] \rm{passed \: percent = { \displaystyle{33 \frac{1}{3} \%} = \frac{100}{3}\% }}[/tex]

[tex]{ \displaystyle{ \rm{failed \: percent = \left( 100 - \frac{100}{3} \right)}\%}}[/tex]

[tex]\displaystyle{ \frac{3 \times 100 - 100}{3}\% }[/tex]

[tex]\displaystyle{ \frac{200}{3}\% }[/tex]

Let,x be the total number of examinees:-

We have,

[tex]\displaystyle{ \frac{200}{3}\% \: \rm{of \: x = 240} }[/tex]

[tex]\displaystyle{ \frac{200}{3} \times \frac{1}{100} \rm \: x = 240}[/tex]

[tex]\displaystyle{ \rm{x = \frac{240 \times 3 \times 100}{200} }}[/tex]

[tex]\displaystyle{ \rm{x = 360}}[/tex]

Hence,required number of examinees = 360 .

`y=-x+5` `x-y=1` what the anwers

### Answers

[tex]y=-x+5~~~~~.....(i)\\\\x-y=1~~~~~~.....(ii)\\\\\\(i)-(ii):\\\\~~~~~y-x+y=-x+5-1\\\\\implies 2y=4\\\\\implies y= \dfrac 42\\\\\implies y=2\\\\\text{Substitute y=2 in eq (ii):}\\ \\~~~~ x-2 = 1\\\\\implies x= 1+2\\\\\implies x = 3\\\\\\\text{Hence,}~~ (x,y) = (3,2)[/tex]

What is a formula for the nth term of the given sequence?

-6,0, 6...

### Answers

**Answer:**

**Step-by-step explanation:**

5 Digit Lock - Level One

*

242

Describe the graph of the function.

y =Square root of

x-1 + 4

### Answers

**Answer: The answer is D. the last option**

**Step-by-step explanation:**

The correct answer is option d) The graph is the **radical function**, y = √x shifted right 1 unit and up 4 units.

The **original function **is y = √(x - 1) + 4, which represents a radical function.

This function involves taking the **square root **of the quantity (x - 1) and then adding 4 to the result.

By shifting the function right 1 unit, we are replacing x with (x - 1). This means that the graph will be **shifted horizontally** by 1 unit to the right compared to the standard square root function.

By **shifting** the function up 4 units, we are adding 4 to the output of the square root function.

This means that the graph will be **shifted vertically** by 4 units compared to the standard square root function.

Therefore, the graph of the **function** y = √(x - 1) + 4 is the radical function y = √x **shifted** right 1 unit and up 4 units.

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Nakeisha's family took a road trip to Mount Rushmore. Nakeisha fell asleep 18% of the way through the trip. If the total length of the trip was 400 miles, how many miles had they travelled when Nakeisha fell asleep?

### Answers

**Answer:**

72 miles ....then she snored off

**Step-by-step explanation:**

18 % of 400 = .18 * 400 = 72 miles

Here is a right angled triangle work out the value of x using trigonometry

### Answers

[tex]~~~~~\sin 30^{\circ} = \dfrac{\text{Perpendicular}}{\text{Hypotenuse} }\\\\\\\implies \dfrac 12 = \dfrac{8}x\\\\\\\implies x = 8\cdot2\\\\\\\implies x = 16 ~ \text{cm.}[/tex]

The **measure** of the side **length** is 16 cm after applying the sin **ratio** which is the side opposite to the angle/**hypotenuse**.

What is a right-angle triangle?

It is a **triangle** in which one of the **angles** is 90 degrees and the other two are sharp angles. The **sides **of a right-angled **triangle **are known as the hypotenuse, **perpendicular**, and base.

It is given that:

A right-angle **triangle **is shown in the picture.

To find the **side** length of the **hypotenuse** apply the sin ratio

sin30 = side opposite to the angle/hypotenuse

1/2 = 8/x

x = 8(2)

x = 16 cm

Thus, the **measure** of the side **length** is 16 cm after applying the sin **ratio** which is the side opposite to the angle/**hypotenuse**.

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The committee spent $372 on costumes for 20 people each costume cost the same amount of money, how much did each costume cost, in dollars ? PLEASE ANSWER I'LL GIVE 68 POINTS TO THE FIRST ONE THAT MAKES SINCE, AND I'LL MAKE UU BRAINLIEST, also I'm gonna ask 4 questions on my page and whoever answers them all first get 100 points I promise!

### Answers

**Answer:**

$18.60

**Step-by-step explanation:**

The total amount spent is $372, and this can be divided by 20. Each costume would cost $18.60.

3) Solve the equation for x.

10(4x + 4) = 400

A) 2

B) 4

C) 9

D) 18

### Answers

**Answer:**

C) 9

**Step-by-step explanation:**

10(4x + 4) = 400

40x + 40 = 400

40x = 360

x = 9

**Answer:**

First factor out the expression

(10•4x)+(10•4)=400

40x+40=400

Then solve

40x+40=400

-40 = -40

40x=360

------ ------

40 40

x=9

C) 9

☆anvipatel77☆

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PLEASE HELP TY

A number is chosen at random from 1 to 50. Find the probability of selecting numbers with a last digit of 9.

### Answers

**Answer:**

10%

**Step-by-step explanation: there are 5 numbers from 5 to 50 ending in 9. 5 is 10% of 50. Hope this helped**

a plumber had 2 plastic pipes that were each 9 ft long. he used all of the 2 pipes and cut them into sections that were each 1/10 foot long. how many sections of pipe did he have in all

### Answers

**Answer:**

180

**Step-by-step explanation:**

so **1 section is 0.1 feet** long, that is 10 sections per foot(since 0.1*10 = 1)if you have 9 feet, imagine how many 0.1 feet can fit in ityou can fit **90 sections in 9 feet**, since 9 / 0.1 = 90since you have 2 pipes,** multiply 90 by 2**, which is 180so you would have 180 sections

Find two positive numbers whose difference is 27 and whose product is 874.

### Answers

46 and 19. 46 x 19 = 874 and 46 - 19 = 27

Will the product of 2 2/5 x 1/6 be larger or smaller than 2 2/5

### Answers

**Answer:**

Smaller

**Step-by-step explanation:**

2 2/5 * 1/6 = 2/

5

= 0.4

Conversion a mixed number 2 2/

5

to a improper fraction: 2 2/5 = 2 2/

5

= 2 · 5 + 2/

5

= 10 + 2/

5

= 12/

5

To find a new numerator:

a) Multiply the whole number 2 by the denominator 5. Whole number 2 equally 2 * 5/

5

= 10/

5

b) Add the answer from previous step 10 to the numerator 2. New numerator is 10 + 2 = 12

c) Write a previous answer (new numerator 12) over the denominator 5.

Two and two fifths is twelve fifths

Multiple: 12/

5

* 1/

6

= 12 · 1/

5 · 6

= 12/

30

= 2 · 6/

5 · 6

= 2/

5

Multiply both numerators and denominators. Result fraction keep to lowest possible denominator GCD(12, 30) = 6. In the following intermediate step, cancel by a common factor of 6 gives 2/

5

.

In other words - twelve fifths multiplied by one sixth = two fifths.

In a survey of 1,300 women who gave birth in Maine in 2003, a total of 588 reported taking a multivitamin at least 4 times a week during the month before pregnant. Please calculate the prevalence of frequent multivitamin use, i.e., taking a multivitamin at least 4 times a week, among these women

### Answers

Using it's concept, it is found that the **prevalence **of frequent multivitamin use is of **0.4523 = 45.23%.**

What is the prevalence of a sample?

The prevalence of a sample is given by the number of desired outcomes divided by the number of total outcomes.

In this problem, **588 out of 1300** women reported taking a multivitamin at least 4 times a week during the month before pregnant, hence the **prevalence **is given by:

p = 588/1300 = 0.4523 = 45.23%.

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What is the square root of (144/169)+(25/169) first 144/169+25/169 then square root of that

### Answers

**Answer:**

1

**Explanation:**

**Answer:**

The square root of (144/169)+(25/169) is** 1**

**Step-by-step explanation:**

[tex]\sqrt{\frac{144}{169} +\frac{25}{169} = \frac{169}{169}} = \sqrt{1}[/tex]

[tex]\sqrt{1} =1[/tex]

hope this helps :)

what is the polynomial of (-3,0)(2,0)(2,0)(3,0)

### Answers

**Answer:**(-2,0) and (3,0)

**Step-by-step explanation:im not sure if its correct but it should be**

50 points please help

The ceiling of Stacy's living room is a square that is 22 ft long on each side. Stacy knows the diagonal of the ceiling from corner to corner must be longer than 22 ft, but she doesn't know how long it is.

Solve for the length of the diagonal of Stacy's ceiling in two ways:

(a) Using the Pythagorean Theorem.

(b) Using trigonometry.

Round each answer to the nearest whole number and make sure to show all your work. (Hint: the answers should be the same!)

### Answers

#a

H²=P²+B²

P and B are sides of square

H²=22²+22²H²=484+484H²=968H≈22√2ftH≈31ft

#b

Apply cosines

cos45=22/H1/√2=22/HH=22√2ft=31ft

dan makes pizza. he puts 6 pepperoni on each pizza. he makes 7 pizzas.

how many pepperonis does he use?

### Answers

if he has 6 pepperoni and he puts them on 7 pizzas

6x7=42

Find the missing side or angle.

Round to the nearest tenth.

C=95°

b=6

a=5

c=[?]

### Answers

No diagram is visible!

You might have to repost the question again.

**Answer: For the acellus people its 8.1**

**Step-by-step explanation:**

A store can buy 8 cartons of milk for $24 or 7 cartons of milk for $28.

How much less does each carton of milk cost if the store buys 8 cartons instead of 7 cartons?

A.

$1 less

B.

$2 less

C.

$3 less

D.

$4 less

### Answers

**Answer:**

A. $1 less

**Step-by-step explanation:**

24 divided by 8 (unit rate) = $3

28 divided by 7 = $4

4-3=1

help me please one again what is 2(n + 3y)

### Answers

**Answer:**

30

**Step-by-step explanation:**

2(n+3y)

Plug in the numbers

2(3+3(4))

2(3+12)

2(15)

30

I believe this is how it would be solved

Sandra 11.2 kilometers after school while her brother ran 8000 meters who ran more ?

### Answers

**Answer:**

Sandra ran more. She would have ran a total of 11,200 meters. While her brother only ran 8,000 meters. Now to find excatly how much did she go? Well subtract 11,200-8,000 to get an answer of 3200. So Sandra ran 3,200 meters father then her brother.

**Step-by-step explanation:**

Hope This Helps

Have A Great Day

~Zero~

**Answer: Sandra **

**Step-by-step explanation: Because 11.2 kilometers is a bigger number then 8,000 and also 11.2 kilometers is 11,000.2 and 8,000 as an kilometer is 8. Hope it Helps **

1. If you have a 100A as a grade and you get 8 bonus points, what is your grade now?

2. If you have a 90B as a grade and you get 8 bonus points, what is your grade now?

**ANSWER QUICK**

### Answers

**Answer:**

1) 108 A+ 2) 98 B+

**Step-by-step explanation:**

A rectangular window has a height of 5 1/2 feet and a width of 1 1/2 feet. What is the perimeter of the window?

A. 7 feet

B. 13 feet

C. 14 feet

D. 28 feet

### Answers

**Answer:**

Your answer is C, 14ft

**Step-by-step explanation:**

Your Given Measurements (in feet):

Height = 5 1/2 ; Width = 1 1/2

___________________________________________________

The Perimeter Formula:

L + W + L + W = P

In this case, the "L" which is length going to get substituted as Height.

5 1/2 is 5.5 because if you do 1/2 on the calculator, you get 0.5 which you can add 5 to get 5.5.

1 1/2 is 1.5 which is the same as the 5 1/2.

____________________________________________________

Now do 5.5 + 1.5 + 5.5 + 1.5 = perimeter

5.5 + 1.5 = 7

7 + 7 = 14ft

Your answer is C: 14 ft

The point-slope form of the equation of the line that passes through (-5, -1) and (10,-7) is y+7= -5/2(x-10)What

is the standard form of the equation for this line ?

### Answers

**Linear Equations**

One way we can organize a **linear equation** is in **standard form**:

[tex]Ax+By=C[/tex]

*A, B *and *C* are typically integers

Another way we can organize a linear equation is in **point-slope form**:

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

*m* is the slope[tex](x_1,y_1)[/tex] is a point that falls on the line

Solving the Question

We're given:

Line passes through (-5,-1) and (10,-7)Point-slope form is [tex]y+7=-\dfrac{5}{2}(x-10)[/tex]

We **only need the point-slope form equation** to find the stand form of the equation for this line. All we have to do is rearrange the numbers to get them in the right places.

[tex]y+7=-\dfrac{5}{2}(x-10)[/tex]

⇒ First, multiply both sides by 2 to get rid of the fraction:

[tex]2y+14=-5(x-10)[/tex]

⇒ Now, open up the parentheses:

[tex]2y+14=-5x+50[/tex]

⇒ Move -5x to the other side:

[tex]5x+2y+14=50[/tex]

⇒ Move 14 to the other side:

[tex]5x+2y=50-14[/tex]

⇒ Combine like terms:

[tex]5x+2y=36[/tex]

Answer

[tex]5x+2y=36[/tex]

jack picks 60 apples from an apple tree .He uses 12 of them to make applesauce .He places the remaining apples equally into 6 gift baskets. Wich equation can be used to determin the number of apples,a, Jack places into each gift baskets.

### Answers

First you would subtract 12 from 60 which is 48. From there you use multiplication to see what numbers would make 48. 8x6 makes 48, so there would be 8 apples in 6 gift baskets! Hopes this helps have a great rest of your day!

**Answer: **

**42 apples**

**Step-by-step explanation:**

42 apples cuz how much Jack used