Mathematics College

## Answers

**Answer 1**

axis of symmetry: 2

vertex: (2,-2)

**Answer 2**

axis of symmetry x=2

Vertex =(2,-2)

You can use photomath also and it will give you the graph

## Related Questions

Find a function for the graph below

### Answers

**Answer:**

d

**Step-by-step explanation:**

gfstikuhbbcwdjonngbb1519360

**Answer:**

D

**Step-by-step explanation:**

I took multivariable calculus in hs

if a shuttle can go 28,000km per hour, how long will it take for the shuttle to go 1,277,127,530 km?

### Answers

You should divide 1277127530/28000= 45611.6975km

1,277,127,530km/28,000km per hr=

45,611.6975 hrs

PLS ANSWER ASAP THANKS

### Answers

**Answer:**

x=54°

**Step-by-step explanation:**

x+36°=90°

x=90°-36°

**x=54°**

**HOPE**** ****IT**** ****HELPS**** ****U**** **

**HAVE**** ****A**** ****GREAT**** ****DAY**

5. The area of the greatest square that is cut from a rectangle of sides

7cm and 4cm is

(1)

49sq.cm (ii) 28sq.cm (iii) 16sq.cm (iv) 9sq.em

### Answers

Answer:

16 cm²

Step-by-step explanation:

The dimension of rectangle = 7cm by 4 cm

The Area of the greatest square that can be cut from the rectangle :

The dimension has to be the Same to form a square :

Hence, the greatest width = 4cm

Therefore, taking the length also as 4cm

Area of square = side length²

Greatest area of square that can be cut = 4² = 16cm²

A 10-foot ladder is leaning against a vertical wall. If the bottom of the ladder is being pulled away from the wall at the rate of 9 feet per second, at what rate is the area of the triangle formed by the wall, the ground, and the ladder changing, in square feet per second, at the instant the bottom of the ladder is 6 feet from the wall

### Answers

**Answer:**

The area is changing at 15.75 square feet per second.

**Step-by-step explanation:**

The triangle between the wall, the ground, and the ladder has the following dimensions:

H: is the length of the ladder (hypotenuse) = 10 ft

B: is the distance between the wall and the ladder (base) = 6 ft

L: the length of the wall (height of the triangle) =?

dB/dt = is the variation of the base of the triangle = 9 ft/s

First, we need to find the other side of the triangle:

[tex]H^{2} = B^{2} + L^{2}[/tex]

[tex] L = \sqrt{H^{2} - B^{2}} = \sqrt{(10)^{2} - B^{2}} = \sqrt{100 - B^{2}} [/tex]

Now, the area (A) of the triangle is:

[tex] A = \frac{BL}{2} [/tex]

Hence, the rate of change of the area is given by:

[tex] \frac{dA}{dt} = \frac{1}{2}[L*\frac{dB}{dt} + B\frac{dL}{dt}] [/tex]

[tex] \frac{dA}{dt} = \frac{1}{2}[\sqrt{100 - B^{2}}*\frac{dB}{dt} + B\frac{d(\sqrt{100 - B^{2}})}{dt}] [/tex]

[tex]\frac{dA}{dt} = \frac{1}{2}[\sqrt{100 - B^{2}}*\frac{dB}{dt} - \frac{B^{2}}{(\sqrt{100 - B^{2}})}*\frac{dB}{dt}][/tex]

[tex]\frac{dA}{dt} = \frac{1}{2}[\sqrt{100 - 6^{2}}*9 - \frac{6^{2}}{\sqrt{100 - 6^{2}}}*9][/tex]

[tex]\frac{dA}{dt} = 15.75 ft^{2}/s[/tex]

Therefore, the area is changing at 15.75 square feet per second.

I hope it helps you!

The **rate **of change (**ROC**) of the area with respect to (**w.r.t.**) time can be

found from the ROC of the **area **w.r.t. *x* and the ROC of *x* w.r.t. time.

At the time the **ladder **is **6 feet** from the wall, the **area **is increasing at 15.75 ft.²/sec.

**Reasons**:

The length pf the ladder = **10 feet **

Rate at which the ladder is pulled from the wall, [tex]\displaystyle \frac{dx}{dt}[/tex] = **9 feet per second**

**Required**:

The **rate **at which the **area **of the **triangle **formed by the ladder, the **wall **

and the **ground**, is changing at the instant the ladder is 6 feet from the wall.

**Solution**:

The area the triangle, A =** 0.5·x·y**

Where;

x = The **distance **of the **ladder **from the wall

y = The **height **of the ladder on the wall

By **Pythagoras's theorem**, we have;

10² = **x² + y²**

Which gives;

y = **√(10² - x²)**

Therefore;

The area the triangle, A = **0.5 × x × √(10² - x²)**

By chain rule, we have;

[tex]\displaystyle \frac{dA}{dt} = \mathbf{\frac{dA}{dx} \times \frac{dx}{dt}}[/tex]

[tex]\displaystyle \frac{dA}{dx} = \frac{d\left(0.5 \cdot x \cdot \sqrt{10^2 - x^2} }{dx} = \mathbf{\frac{\left(x^2 - 50\right) \cdot \sqrt{100-x^2} }{x^2-100}}[/tex]

[tex]\displaystyle \frac{dA}{dx} = \frac{\left(x^2 - 50\right) \cdot \sqrt{100-x^2} }{x^2-100}[/tex]

Therefore;

[tex]\displaystyle \frac{dA}{dt} = \mathbf{\frac{\left(x^2 - 50\right) \cdot \sqrt{100-x^2} }{x^2-100} \times 9}[/tex]

When the ladder is **6 feet from **the wall, we have;

x = 6

[tex]\displaystyle \frac{dA}{dt} = \frac{\left(6^2 - 50\right) \cdot \sqrt{100-6^2} }{6^2-100} \times 9 = \mathbf{15.75}[/tex]

At the **time **the ladder is 6 feet from the wall, the **area **is increasing at 15.75 ft.²/sec.

Learn more about **chain rule **of **differentiation** here:

https://brainly.com/question/20341047

Determine The Missing Number In The equation

1+12= +2

PLEASE HURRY!!!!

### Answers

I guess it is 13, 1 plus 12 is 13 so

ILL WILL GIVE THE THE BRAINLIEST GDJFJJD

drag each triangle type to the correct category

### Answers

**Answer:**

in order

yes

no

yes

no

no

**Step-by-step explanation:**

**Answer:**

Order.

**Step-by-step explanation:**

Yes.

No.

Yes.

No.

No.

What are the coordinates of point of intersection of y=x+3 and y=3x-3?

### Answers

**Answer:**

Correct option is

D

(0, 0)

Form the graph, we can see that solution is (0,0).

or

The point of intersection of lines y = 3x and x = 3y must satisfies both the equation.

From the options (0,0) satisfies both the equations, hence the point of intersection of given lines is at origin i.e. (0,0).

Answer:

Step-by-step explanation:

At the point of intersection, x+3 = 3x-3

6=2x

x = 3

y = x+3 = 6

One half of an apple pie is left for

5 family members to share equally.

What fraction of the original pie will

each member get?

### Answers

**Answer: It will be 2/10**

**Step-by-step explanation:because if you divide the half part that you have into five and the other one two you will have 10 pieces that divided into 5 members will be 2**

A real estate agent has 17 properties that she shows. She feels that there is a 50% chance of selling any one property during a week. The chance of selling any one property is independent of selling another property. Compute the probability of selling less than 3 properties in one week. Round your answer to four decimal places.

### Answers

**Answer:**

0.0011 = 0.11% probability of selling less than 3 properties in one week.

**Step-by-step explanation:**

For each property, there are only two possible outcomes. Either they are sold, or they are not. The chance of selling any one property is independent of selling another property. This means that the binomial probability distribution is used 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.

**A real estate agent has 17 properties that she shows. **

This means that [tex]n = 17[/tex]

**She feels that there is a 50% chance of selling any one property during a week. **

This means that [tex]p = 0.5[/tex]

**Compute the probability of selling less than 3 properties in one week.**

This is

[tex]P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2)[/tex]

In which

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

[tex]P(X = 0) = C_{17,0}.(0.5)^{0}.(0.5)^{17} \approx 0[/tex]

[tex]P(X = 1) = C_{17,1}.(0.5)^{1}.(0.5)^{16} = 0.0001[/tex]

[tex]P(X = 2) = C_{17,2}.(0.5)^{2}.(0.5)^{15} = 0.0010[/tex]

[tex]P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2) = 0 + 0.0001 + 0.0010 = 0.0011[/tex]

0.0011 = 0.11% probability of selling less than 3 properties in one week.

For his car Jason paid 91.48 per speacker for 3 speackers and 92.55 per tire for 5 tires with 8 100 bills . How much did Jason get in change ?

### Answers

**Answer:**

1 speaker is $91.48

3 speakers = $91.48 × 3

= $274.44

1 tire is 9$2.55

5 tires = $92.55 × 5

= $462.75

8, 100 bills = $800

The cost for the 3 speakers and 5 tires = $274.44 + $462.75

= $737.19

Therefore, the change that Jason got was = $800 - $737.19

= $62.81

Distribute: -8(3f - 9)

### Answers

**Step-by-step explanation:**

[tex] - 8(3f - 9) = [/tex]

[tex] - 24f + 72[/tex]

According to a survey, about 19% of all Americans are without health insurance. Assume that this estimate is reasonably accurate. Suppose that you select a random sample of 46 Americans. (a) Calculate the expected number of Americans without health insurance in the sample. Answer: (Keep at least four decimal places.) (b) Calculate the standard deviation of the number of Americans without health insurance in the sample. Answer: (Keep at least four decimal places.)

### Answers

**Answer:**

**a) **8.74

**b) **2.6607

**Step-by-step explanation:**

For each American, there are only two possible outcomes. Either they are without health insurance, or they are not. In the sample, each person is independent of any other person, which means that we use the binomial probability distribution to solve this question.

**Binomial probability distribution**

Probability of exactly x sucesses on n repeated trials, with p probability.

Can be approximated to a normal distribution, using the expected value and the standard deviation.

**The expected value of the binomial distribution is:**

[tex]E(X) = np[/tex]

**The standard deviation of the binomial distribution is:**

[tex]\sqrt{V(X)} = \sqrt{np(1-p)}[/tex]

**According to a survey, about 19% of all Americans are without health insurance. **

This means that [tex]p = 0.19[/tex]

**Suppose that you select a random sample of 46 Americans.**

This means that [tex]n = 46[/tex]

**(a) Calculate the expected number of Americans without health insurance in the sample.**

[tex]E(X) = np = 46*0.19 = 8.74[/tex]

**(b) Calculate the standard deviation of the number of Americans without health insurance in the sample.**

[tex]\sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{46*0.19*0.81} = 2.6607[/tex]

2/5 times 20 can you please help

### Answers

**Answer:**

8

**Step-by-step explanation:**

The answer is 8 multiple

Hope it helps

please help me with these two problems

### Answers

Problem 1

With mean = median, the data set is symmetrical. Well it's more accurate to say "roughly symmetrical" due to the phrasing "mean is approximately equal to the median". Using the median as its center is fairly common with many distributions, so there isn't an issue here.

The error is from the phrasing "the quartiles should be used to measure the spread". The quartiles themselves don't measure spread. They are simply single data points and do not tell us the spread. If Ralph said Q3 = 75 is a measure of spread, then he would be incorrect. However, the difference between the third and first quartile will help get the IQR (interquartile range), as described by this equation below

IQR = Q3 - Q1

and this is one tool to measure how spread out data is. The larger the IQR is, the more spread out the data will be.

The IQR is how far of a gap it is from Q1 to Q3. Another tool to measure spread is the standard deviation. Ralph was probably thinking about the IQR when he mentioned the quartiles, but he should be more specific about what he means.

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

Problem 2

**Answer: Skewed left**

This is the same as saying "negatively skewed"

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

Explanation:

The main cluster of values is on the right side, while a small portion of values are to the left. We consider this the left tail and the left tail is pulled longer compared to the right tail. The further left we go, the shorter the bar and eventually we hit outliers. These much smaller outliers compared to the main cluster pull on the mean to make it smaller than it should be.

One example could be that this curve represents test scores. The majority of the class could get in the range of say 70 to 90. Then there's the unfortunate few outliers who scored much lower (possibly 40 through 60); those outlier scores pull down the mean grade of the class overall.

In short, negatively skewed data indicates that mean < median.

Pls Hurry its timed

How do the number line graphs of the solutions sets of Negative 23 greater-than x and x greater-than-or-equal-to negative 23 differ?

A One graph uses an open circle, but the other graph uses a closed circle. Also, the rays use arrows that point in opposite directions, but they have the same endpoint.

B They use arrows that point in opposite directions, the rays have different endpoints, and both graphs use open circles.

C One graph uses an open circle, but the other graph uses a closed circle. Also, the rays have different endpoints, but they use arrows that point in the same direction.

D They use arrows that point in opposite directions, the rays have different endpoints, and both graphs use closed circles.

### Answers

I’m pretty sure it’s A

absolute value of -93

### Answers

The absolute value will be the positive version of the number

absolute value of -93 will be 93

**Answer:**

93

**Step-by-step explanation:**

The absolute value is just how far from away from zero a number is.

pls help with this question i cant solve it

### Answers

The tree is 6 feet tall

4 children was picking pears in their grandparents orchard.they had each picked the same number of pears by lunch time,when their grandpa gave them each 6 more pears now the 4 kids had 80 pears in all. How many pears did each child have before grandpa have them more?

### Answers

14 i think if you add 6 they get 20 x 4= 80

How to Write in Digits the fifty five hundredths

### Answers

**Answer:**

fifty five hundredths = 0.55

**Step-by-step explanation:**

Let's use 0.45 as an example. You read this decimal by using the place value of the last digit to the right of the decimal point.

This number is read as forty-five hundredths because the last digit is in the hundredths place.

The graph of y=f(x) is shown below. According to the graph what is f(3)?

### Answers

f(3) is equal to -4 or letter b coordinate

Salim buys boxes of crackers that each has the same cost x. He represents the cost of 3 boxes of

cheese crackers, 4 boxes of poppy seed crackers, and 6 boxes of plain crackers using the

expression 3x + 4x + 6x. What equivalent expression can represent the cost?

### Answers

**Answer:**

13x

**Step-by-step explanation:**

You add them all up since they're like terms and all have x

I need help with this right now before it’s due

Grapes

### Answers

**Answer:**

21, 6, 12

**Step-by-step explanation:**

your welcome:)

14:7, 42:21, 6:3, 12:24

14/7=2

42:2=21

3•2=6

24/2=12

Missing numbers are: 21,6 and, 12

In AMNO, the measure of 20=90°, MN = 99 feet, and OM = 52 feet. Find the

measure of M to the nearest degree.

### Answers

**Answer:**

x** = 58 degrees **

**Step-by-step explanation:**

Using the SOH CAH TOA trigonometry identity

hypotenuse =99

adjacent = 52

angle of elevation = x

cos theta = adj/hyp

cos x = 52/99

x = arccos (52/99)

x = arccos(0.5253)

x** = 58 degrees ( to the nearest degree)**

8^10 x 8^4 simplified write your answer as a power

### Answers

Answer: 8^14

8^10 x 8^4= 8^14

**Answer:**

8^14

**Step-by-step explanation:**

8^10x8^4=8^(10+4)=8^14

What is the probability of at least two coins landing on hands?

### Answers

**Answer:**

pekpek

**Step-by-step explanation:**

hahsbshahahdhsjs

Volume!!! will give brainly thing if correct!

please how your work if possible

### Answers

**Answer:**

C

**Step-by-step explanation:**

The picture give you the law of the volume of the pyramid

Which of the following equations is the result after the first step in solving 3x + 6 = 12?

x + 6 = 4

x = 3

3x = 18

3x = 6

### Answers

**Answer:**

3x =6

Step-by-step explanation:

3x+6 =12

Subtract 6 from each side

3x+6-6 = 12-6

3x =6 pls mark branilest if that helped

A man has 1/2 of a kilogram of rice. He shares it equally amongst 6 people. How many kilograms does each person get? Input your answer as a fraction of a kilogram.

### Answers

**Answer:**

1/12

**Step-by-step explanation:**

HHHEEELLLPPPPP MMMMMMEEEEEE!!!!!!

Which is the graph of the function g(x)=−x^2−4x−1?

### Answers

**Answer:**

its a, the first one

**Step-by-step explanation:**

i graphed it have a good day (: