Mathematics High School

## Answers

**Answer 1**

**Answer:**

59/130

**Step-by-step explanation:**

## Related Questions

Find the coordinates of point B that lies along the directed line segment from A(-5, 2) to C(11, 0) and partitions the segment in the ratio of 5:3.

### Answers

**Answer:**

B ( 5 , 3/4 )

**Step-by-step explanation:**

**Solution:-**

We are given two points in the cartesian coordinate system as:

A ( -5 , 2 ) C ( 11, 0 )

The point B lies on the line segment from A to C. The ratio of segment given is:

AB / BC = 5 / 3

To solve such type of problems. We will use vector equation of line AC.

To form a vector equation of line representing AC. We will first determine the direction vector ( d ) that is parallel to the line AC as follows:

d = OC - OA

d = < 11, 0 > - < -5,2 >

**d = < 16 , -2 >**

The fixed point on the line is taken. We will take point A. The vector equation of line from point A to point C is expressed as:

< x , y > = OA + t*d

**< x , y > = < -5, 2 > + t* < 16 , - 2 > **

The above equation satisfies all the points that lies on the line AC. To determine the coordinates of ( B ). We will plug in the appropriate value of parameter ( t ) and evaluate. We are given the ratio 5:3.

So point B is **5/8 th** the magnitude of the distance AC from A. Hence, t = 5/8 as follows:

< x , y > = < -5 , 2 > + ( 5/8 ) * < 16 , -2 >

< x , y > = < -5 , 2 > + < 10 , -5/4 >

**< x , y > = < 5 , 3/4 > ... Answer**

**Answer:**

x, y = 5, 3/4

**Step-by-step explanation:**

please simplify this

### Answers

Answer: yz square root 3xz

Explanation:

1/5 square root 75xy^2z^3

= 1/5 sqrt 3 • 25xy^2z^2•z

= 1/5 x 5 x y x z sqrt 3xz

1 x y x z sqrt 3xz

= yz sqrt 3xz

Find the values of J and S that make both equations true using elimination. [3K each]

① 4J+2S =0.70

② 4J+ 5S =0.85

### Answers

Answer:

J=0.15

S=0.05

Step-by-step explanation:

4J+2S=0.70

4J+5S=0.85

Using elimination method

4J+2S=0.70 (1)

4J+5S=0.85 (2)

Subtract (1) from (2)

3S=0.15

Divide both sides by 3

3S/3=0.15/3

S=0.05

Substitute s=0.05 into (1)

4J+2S=0.70

4J+2(0.05)=0.70

4J+0.10=0.70

4J=0.70-0.10

4J=0.60

Divide both sides by 4

4J/4=0.60/4

J=0.15

CHECK:

4J+2S=0.70

4(0.15)+2(0.05)=0.70

0.60+0.10=0.70

0.70=0.70

4J+5S=0.85

4(0.15)+5(0.05)=0.85

0.60+0.25=0.85

0.85=0.85

. If $240 is invested at an interest rate of 9% per year and is compounded monthly, how much will the investment be worth in 14 years?

### Answers

A(14)=240(1+0.09)^14-1

A(14)=240(1.09)^13

A(14)=240(3.065)

A(14)=735.79

Make sure the calculations m

In which quadrant does (3,5) lies

### Answers

**Answer:**

Both ordiante and absissa are positive

So, the point lies in first quadrant....

**Answer: Quadrant I**

Step-by-step explanation:

Quadrant II ↓ ← ← ← ← ← ← Quadrant I

( - , + ) ↓ ( +, + )

↓

↓

Quadrant III → → → → → → → Quadrant IV

( - , - ) ( +, - )

Start at Quadrant I in the upper right corner of a graph and move counterclockwise for Quadrants II, II, and IV.

(3, 5) --> both x and y are positive so it is in Quadrant I.

Consider the equation below. -2(3x-5)=16

### Answers

**Answer:**

*x = -1*

**Step-by-step explanation:**

-2(3x - 5) = 16

3x - 5 = -8

3x = -8 + 5

3x = -3

x = -1

Hope this helps! :)

**Answer:**

x = -1

**Step-by-step explanation:**

-2 (3x-5) = 16

-6x + 10 = 16

-6x = 16-10

-6x = 6

x = 6 ÷ -6

x = -1

A teacher writes the name of each of her 25 students on a slip of paper and places the papers in a box. To call on a student, she draws a slip of paper form the box. Each paper is equally likely to be drawn, and the papers are replaced in the box after each draw. If there are 9 students in the last row, what is the probability of calling on a student in the last row

### Answers

**Answer:**

36%

**Step-by-step explanation:**

Total Number of Students = 25

The number of students on the last row = 9

The probability of calling a student in the last row

[tex]=\dfrac{\text{The number of students on the last row}}{\text{Total Number of Students}}\\\\=\dfrac{9}{25}\\\\=0.36\\\\=0.36 \times 100\\\\=36\%[/tex]

**The probability of calling a student in the last row is 36%.**

**Answer:**

B 0.36

**Step-by-step explanation:**

Karen wants to know how fast her sunflower will grow. Right now, her sunflower is 338 inches tall. If her sunflower grows 58 of an inch each day, how many days will it take for her sunflower to be at no less than 24 inches tall? _[blank]_ days

### Answers

**Answer:two**

**Step-by-step explanation:**

Karen's **sunflower **will **grow **from 338 inches to 24 **inches **in 5 days.

What is the division operation?

In **mathematics**, divides left-hand operands into right-hand operands in the **division **operation.

To solve this problem, we need to determine how many **days **it will take for Karen's **sunflower **to **grow **from 338 inches to 24 inches. We can do this by **dividing **the difference in height between the two measurements by the number of inches the sunflower grows per day.

First, we need to find the difference in **height **between the two **measurements**: 338 inches - 24 inches = 314 inches

Next, we **divide **this difference by the number of inches the sunflower grows per day: 314 inches / 58 inches/day = 5.410344827586207 days

Rounded to the nearest **whole **number.

Therefore, it will take Karen's **sunflower **5 days to **grow **from 338 **inches **to 24 inches.

To learn more about the **division operation** click here :

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D. Is no solution please help

### Answers

**Answer:**

B

**Step-by-step explanation:**

I can't really see the problem, however I believe B is the only one that shows an infinite number of solutions.

**Answer:**

B

**Step-by-step explanation:**

It is too blurry BTW but B is correct

Please answer this question in two minutes

### Answers

**Answer:**

t = 8; u = 14.

**Step-by-step explanation:**

If the two triangles are to be congruent, their side lengths and angles must be equal.

In this case, segment RQ corresponds with segment HI, and segment QS corresponds to segment IJ.

Since they are equal, we know that...

3u = u + 28

and

16t - 32 = 12t

Solve for both!

3u = u + 28

2u = 28

**u = 14**

16t - 32 = 12t

4t = 32

**t = 8**

So, t = 8 and u = 14.

Hope this helps!

**Answer他媽的你你一個愚蠢的屁股妓女，你需要做你贏了他媽的作業傻瓜屁股**

**Step-by-step explanation:**

Extra Points! Using the following data, calculate the mean absolute deviation: 1 6 5 8 3 7 1 4 10 9 What is the mean absolute deviation for these data? 9 5.4 5 2.6

### Answers

Answer: 2.6 for the first one

Step-by-step explanation:

First absolute deviation: 1 6 5 8 3 7 1 4 10 9

Solve using the formula and get 2.6

For the second one I do not understand the digits. Therefore I cannot solve it.

I am very sorry, please forgive me

The **mean **absolute **deviation **of the data is M = 2.6

What is Mean?

The **mean **value in a set of numbers is the middle value, calculated by dividing the total of all the values by the number of values.

**Mean **= Sum of Values / Number of Values

Given data ,

Let the total number of points be n

Now , the value of n = 10

And , the number of points on each **data **is given by set A

Now , the value of set A = { 1 , 6 , 5 , 8 , 3 , 7 , 1 , 4 , 10 , 9 }

So , the total sum of **data **= 1 + 6 + 5 + 8 + 3 + 7 + 1 + 4 + 10 + 9

The total sum of data = 54

Now , the mean number of data points = 54 / 10 = 5.4

And , the **mean **deviation is M

M = 1/10 | [ ( 1 - 5.4 ) + ( 6 - 5.4 ) + ( 5 - 5.4 ) + ( 8 - 5.4 ) + | ( 3 - 5.4 ) | + ( 7 - 5.4 ) + ( 1 - 5.4 ) + ( 4 - 5.4 ) + ( 10 - 5.4 ) + ( 9 - 5.4 ) |

M = ( 1/10 ) [ 4.4 + 0.6 + 0.4 + 2.6 + 2.4 + 1.6 + 4.4 + 1.4 + 4.6 + 3.6 ]

M = ( 1/10 ) [ 26 ]

M = 2.6

Therefore , the value of M is 2.6

Hence , the **mean deviation **is 2.6

To learn more about **mean **click :

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Which of the following pairs of angles are supplementary? Select all that apply.

### Answers

supplementary angles mean they equal 180 degrees which means any two angles that equal a line. so that would be:

<1 and <3

<1 and <4

<2 and <3

and <2 and <4

as all of these angles (in their respective pairs) create a single line which is equivalent to 180 degrees

The **supplementary angles **are:

<1 and <3

<1 and <4

<2 and <3

<2 and <4

what are supplementary angles?

**Angles **that **add **up to 180 **degrees **are referred to as **supplementary angles**. For **instance**, angle 130° and angle 50° are complementary angles since the sum of these two angles is 180°. The sum of complimentary angles is 90 degrees.

Given:

As, the **supplement** **angles **forms 180 **angles**.

So, from the **angles **that are **supplementary **are

<1 and <3

<1 and <4

<2 and <3

<2 and <4

Learn more about **supplementary angles** here:

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are these fractions equivalent 1/11 2/22

### Answers

**Answer:**

yes

**Step-by-step explanation**

**Answer:**

Yes, they would be equivalent.

If you simplify

2/22 ÷2= 1/11

Therefore, this shows that they are equivalent.

Hope this helps! :)

find 3√27 +3√64 - 3√125

### Answers

**Answer:**

the answer is approximately 6.047

A hypothesis regarding the weight of newborn infants at a community hospital is that the mean is 6.6 pounds. A sample of seven infants is randomly selected and their weights at birth are recorded as 9.0, 7.3, 6.0, 8.8, 6.8, 8.4, and 6.6 pounds. What is the decision for a statistical significant change in average weights at birth at the 5% level of significance? rev: 04_14_2015_QC_CS-13524 Reject the null hypothesis and conclude the mean is lower than 6.6 lb. Fail to reject the null hypothesis. Cannot calculate because the population standard deviation is unknown. Reject the null hypothesis and conclude the mean is higher than 6.6 lb.

### Answers

Answer:

Step-by-step explanation:

n = 7

Mean = (9.0 + 7.3 + 6.0 + 8.8 + 6.8 + 8.4 + 6.6)/7 = 7.6

Standard deviation = √(summation(x - mean)²/n

Summation(x - mean)² = (9.0 - 7.6)^2 + (7.3 - 7.6)^2 + (6.0 - 7.6)^2 + (8.8 - 7.6)^2 + (6.8 - 7.6)^2 + (8.4 - 7.6)^2 + (6.6 - 7.6)^2 = 8.33

Standard deviation = √(8.33/7

s = 1.1

We would set up the hypothesis test. This is a test of a single population mean since we are dealing with mean

For the null hypothesis,

H0: µ = 6.6

For the alternative hypothesis,

H1: µ ≠ 6.6

This is a two tailed test.

Since the number of samples is small and the population standard deviation is not given, the distribution is a student's t.

Since n = 7

Degrees of freedom, df = n - 1 = 7 - 1 = 6

t = (x - µ)/(s/√n)

Where

x = sample mean = 7.6

µ = population mean = 6.6

s = samples standard deviation = 1.1

t = (7.6 - 6.6)/(1.1/√7) = 2.41

We would determine the p value using the t test calculator. It becomes

p = 0.053

Since alpha, 0.05 < than the p value, 0.053, then we would fail to reject the null hypothesis.

PLEASE! NEED HELP!!!

### Answers

**Answer:**

x² + 2x + 2 = 0

**Step-by-step explanation:**

Formula for finding a quadratic equation when its roots are given is

x² - ( sum of roots)x + product of roots=0

The roots are

- 1 + i

- 1 - i

Sum of roots is = - 1 + i - 1 - i = -2

Product of roots is = ( -1 + i)(- 1 - i)

= 1 + 1 = 2

So the quadratic equation is

x² - (-2)x + 2 = 0

x² + 2x + 2 = 0

Hope this helps you

**Answer:**

x^2+2x+2

**Step-by-step explanation:**

to find b in the equation :

b^2<4ac when having two complex roots

the required equation is x2 - Sx + P = 0

the sum of the roots :-1-i+-1-i=-2

the product=2

so the equation: x^2-(-2)x+2

x^2+2x+2

Need hep with this question

### Answers

**Answer:**

V= -2000t + 20000

**Step-by-step explanation:**

**Let m be the slope of our function : **

**m=(20000-16000)/(0-2)= -2000****so our function is V= -2000t + b ****b is the intitial price so b = 20000****then : V= -2000t + 20000**

**Let's check : **

**take the second year : V= -2000*2 +20000 = 16000 ****that's true !**

Find the area of a regular octagon with

a side length of 12 cm. Round to the

nearest tenth.

12 cm

[ ? ] cm2

### Answers

**Answer:**

A= 695.3cm²

**Step-by-step explanation:**

**We khow that the area of anctagon is : A= 2(1+**[tex]\sqrt{2}[/tex]**)*a² with a the side ****so A= 2(1+√2)*a² = 695.29= 695.3 cm²**

I believe the answe is A

Does anyone know the answer to the table below?

### Answers

Hey there! :)

**Answer:**

16 minutes.

**Step-by-step explanation:**

Create an equation in the form y = mx + b to solve this problem. Begin by solving for the rate of change of the table using the slope formula:

[tex]m = \frac{\text{rise}}{\text{run}} = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

Plug in values from the table into the equation:

[tex]m = \frac{64 - 40}{9 - 5}[/tex]

Simplify:

[tex]m = \frac{24}{4}[/tex]

m = 6.

Plug in the slope and a point from the table into the equation

y = mx + b

40 = 6(5) + b

40 = 30 + b

40 - 30 = b

b = 10.

Rewrite the equation:

y = 6x + 10

To solve for how long it took her to ride 1 km, plug 1 into the equation:

y = 6(1) + 10

y = 6 + 10

y = 16 minutes.

Dina is x years old. In thirteen years, she will be twenty-four years old. Write it as a mathematical statement.

### Answers

**Answer:**

x + 13 = 24.

**Step-by-step explanation:**

Dina is currently x years old. Plus 13 years, she will be 24. So, we have **x + 13 = 24**.

x = 11.

Hope this helps!

**Answer:**

x + 13 = 24

**Step-by-step explanation:**

Since Dina is x age, we can add in x in the formula. In 13 years, she will be 24, so the total is 24 years old.

So if Dina is x and in 13 years she will be 24, the equation would be x + 13 = 24.

root( x-1 ) = 2 - root (x+3)

### Answers

Answer: x = 4

Explanation: root x-1 = 2- root x+3

First let’s take out the root by square both side by 2 we get:

x-1= 4-x+3

x-1 = -x+7

x+x = 7+1

2x= 8

x= 8/2=4

**Answer:**

[tex]x=1[/tex]

**Step-by-step explanation:**

[tex]\sqrt{x-1} =2-\sqrt{x+3}[/tex]

Square both sides.

[tex]\left(\sqrt{x-1}\right)^2=\left(2-\sqrt{x+3}\right)^2[/tex]

[tex]x-1=x+7-4\sqrt{x+3}[/tex]

Subtract x on both sides.

[tex]x-1-x=x+7-4\sqrt{x+3}-x[/tex]

[tex]-1=-4\sqrt{x+3}+7[/tex]

Subtract 7 on both sides.

[tex]-1-7=-4\sqrt{x+3}+7-7[/tex]

[tex]-8=-4\sqrt{x+3}[/tex]

Square both sides.

[tex]\left(-8\right)^2=\left(-4\sqrt{x+3}\right)^2[/tex]

[tex]64=16x+48[/tex]

Subtract 48 on both sides.

[tex]64-48=16x+48-48[/tex]

[tex]16=16x[/tex]

Divide both sides by 16.

[tex]\frac{16}{16} =\frac{16x}{16}[/tex]

[tex]1=x[/tex]

Switch sides.

[tex]x=1[/tex]

how to do this question plz

question 2

### Answers

**Answer:**

a) x+3=19

**Step-by-step explanation:**

a)

x is the age of Ronald , Collin is three years older than Ronald , so if we add up x(Ronald's age) and 3(the difference between both of their ages), we would get Collin's age(19) . That is the explanation for this equation.

b)

x+3=19

x=19-3

x=16

thus , x is 16 , in other words , Ronald's age is 16.

Write the polynomial as a product: mn − mk + xk − xn

### Answers

**Answer:**

m-x(n)+x-m(k)

**Step-by-step explanation:**

mn-mk+xk-xn

mn-xn+xk-mk

m-x(n)+x-m(k)

Hope it helps <3 :)

**Answer:**

m-x(n)+x-m(k)

**Step-by-step explanation:**

hope this helps :D

If x, y, z, are integers such that 2^x*3^y*7^z=329, Then what is x, y, and z? PLZZZZ HELP THANK YOU

### Answers

**Answer:**

I just answered this question lol but the answer is 2^0*3^0*7^47=329. Hope this helps!!

**Step-by-step explanation:**

Please. Can anyone help me.

### Answers

**Answer:**

correct option is A: [tex]\frac{4}{10} \neq \frac{6}{14}[/tex]

**Step-by-step explanation:**

If the segment DE was parallel to the segment BC, we could use the Thales' theorem, where the ratio of one segment created in one side of the triangle over the whole side is the same ratio of one segment created in the other side over the whole side:

[tex]\frac{AD}{AB} = \frac{AE}{AC}[/tex]

Using the values given (AD = 4, AB = 6+4=10, AE = 6, AC = 8+6=14), we would have:

[tex]\frac{4}{10} = \frac{6}{14}[/tex]

[tex]4*14=6*10[/tex]

[tex]56=60[/tex]

This sentence is false, therefore the segments DE and BC are not parallel.

The inequation to prove this is the first one we used, using the "not equal" symbol:

[tex]\frac{4}{10} \neq \frac{6}{14}[/tex]

So the correct option is: A

Which expression is equivalent to (x Superscript one-fourth Baseline y Superscript 16 Baseline) Superscript one-half?

### Answers

**Answer:**

[tex]x^{\frac{1}{8}}y^8[/tex].

**Step-by-step explanation:**

The given expression is

[tex](x^{\frac{1}{4}}y^{16})^{\frac{1}{2}}[/tex]

We need to find the expression, which is equivalent to the given expression.

The given expression can be rewritten as

[tex](x^{\frac{1}{4}})^{\frac{1}{2}}(y^{16})^{\frac{1}{2}}[/tex] [tex][\because (ab)^m=a^mb^m][/tex]

[tex](x^{\frac{1}{4}\times \frac{1}{2}})(y^{16\times \frac{1}{2}})[/tex] [tex][\because (a^m)^n=a^{mn}][/tex]

[tex]x^{\frac{1}{8}}y^8[/tex]

Therefore, the required expression is [tex]x^{\frac{1}{8}}y^8[/tex].

The **simplified form** of the indices is [tex]x^{1/4}y^8[/tex]

**Given** the expression:

[tex](x^{1/4}y^{16})^{1/2}[/tex]

Using the **law of indices** below:

[tex](a^m)^n = a^{mn}[/tex]

**Multiplying **the power will give:

[tex]= (x^{1/4})^{1/2} \cdot (y^{16})^{1/2}\\=x^{1/4}y^8[/tex]

Hence the **simplified form** of the indices is [tex]x^{1/4}y^8[/tex]

Learn more on **indice**s here: brainly.com/question/8952483

Salt is falling on a Conical pile of 6 cubic meters per minute. The diameter of the cone is twice the height, what is the rate the height is changing when the pile is 9 meters tall.

### Answers

**Answer:**

** 0.0236** **m** per minute,

**Step-by-step explanation:**

Volume of the cone **V = 1/3 π r^2 h**.

Diameter = 2r = 2h so **r = h **

and **V = 1/3** **π h^3**

So the rate of change of volume with height =

**dV / dh =** **π h^2.**

We are given that **dV/dt = 6.**

So** t**he rate of change of height: ** dh/dt = dV/dt * dh/dV **

**= 6 * 1/** **π h^2 **

When h = 9

**dh/dt = 6 / 81π **m per minute

=** 0.0236** m per minute,

HELP PLEASEEEEEEEEEE

### Answers

**Answer:**

**x = -1/4(y +3)2 - 2.**

**Step-by-step explanation:**

Here are the steps:

Find if parabola is horizontal or vertical

Find vertex and substitute into equation of step 1

Use another point to find a in the equation.

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

Parabola is obviously vertical.

that means we use x = a(y - k)2 + h

Our vertex is (-2,-3), and it's also (h, k)

so, our current equation is x = a(y - -3)2 - 2 and if we simplify it,

we get x = a(y +3)2 - 2.

It's not over yet, cuz we still need a.

so, we substitute in a point (x, y). We can use (-4, 1).

We plug in and get -4 = a(1 +3)2 - 2.

We solve like a one variable linear equation and get a = -1/4

Thus our equation is **x = -1/4(y +3)2 - 2.**

help on system of equations using substitution

### Answers

**Answer:**

The answer is option C.

The answer is option

**Step-by-step explanation:**

5x + 2y = - 15 ......... 1

x - 4y = - 3 ........ 2

Make x the subject in the second equation and substitute it into the first equation

That's

x = 4y - 3

5(4y - 3) + 2y = - 15

20y - 15 + 2y = - 15

22y = - 15 + 15

22y = 0

Divide both sides by 22

y = 0

Substitute y = 0 into x = 4y - 3

That's

x = 4(0) - 3

x = - 3

x = - 3 y = 0

( - 3 , 0)

Hope this helps you

what is the value of x in the proportion below?

### Answers

**Answer:**

3 1/2 =x

**Step-by-step explanation:**

(1/2) / 4 = x/28

Using cross products

1/2 * 28 = 4*x

14 = 4x

Divide each side by 4

14/4 = 4x/4

7/2 = x

3 1/2 =x

**Answer:**

[tex]\boxed{Option1}[/tex]

**Step-by-step explanation:**

[tex]\frac{1/2}{4} = \frac{x}{28}[/tex]

Cross Multiplying

=> 1/2 * 28 = 4x

=> 14 = 4x

=> 4x = 14

Dividing both sides by 4

=> x = 14/4

=> x = 7/2

=> x = [tex]3\frac{1}{2}[/tex]