Find the missing side lengths. Answers are in simplest radical form with the
denominator rationalized.

Answer:

= 240ml purple dye

Step-by-step explanation:

150ml red dye + 175ml blue dye = 325ml purple dye

            325ml - 85ml = 240ml purple dye

                       = 240ml purple dye

When the central tendency is the outliner is removed , the mean will increase.

Outliers are often used to measure central tendency and dispersion. They can give wrong impressions of a data set when a the set has more than one or one outliers.

An outlier is known to be the value that is said to be greater than or say less than most of the other values found in a data set.

see options below

A.They will not change.

B.The mode will change.

C.The mean will decrease.

D.The mean will increase.

Learn more about central tendency from

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Answer:

24/35

Step-by-step explanation:

Since it varies directly as q and partly inversely as q^2 it is represented has this below

p = aq + b/q^2

The constants of proportionality here are a and b

11 = 2a + b/4 ----- i x 5

25.16 = 5a + b/25 ------ ii x 2

Multiply equation i by 5 and equation ii by 2

55 = 10a + 5b/4 ----- iii

50.32 = 10a + 2b/25 ----- iv

Subtract equation iv from equation iii

b = 4

Put the value of b in equation iv

50.32 = 10a + 8/25

Multiply through by 25

1258 = 250a + 8

a = 5

p =5q + 4/q^2

Therefore using this equation put into the equation the value of q which is 7

p = 5(7) + 4/(7)^2

p = 35 +4/49

p = 35.082

hope this helped.

The residual is the difference between the observed etching rate and the predicted etching rate

The residual of a room temperature of 25 degrees Celsius is [tex]- 2\dfrac{\mu\text{m}}{\text{min}}[/tex]

The least squares regression equation for predicting the etching rate from the room temperature is given as:

[tex]\hat y = 2 +\dfrac{1}{5} x[/tex]

When the room temperature is 25 degrees Celsius, the regression equation becomes

[tex]\hat y = 2 +\dfrac{1}{5} *25[/tex]

Evaluate the product

[tex]\hat y = 2 +5[/tex]

Evaluate the sum

[tex]\hat y = 7[/tex] --- this represents the predicted etching rate

The residual is calculated as:

Residual = Observed - Predicted

From the question, the observed etching rate is [tex]5\dfrac{\mu\text{m}}{\text{min}}[/tex]

So, the residual equation becomes

[tex]r = 5\dfrac{\mu\text{m}}{\text{min}} - 7\dfrac{\mu\text{m}}{\text{min}}[/tex]

Evaluate the difference

[tex]r = - 2\dfrac{\mu\text{m}}{\text{min}}[/tex]

Hence, the residual of a room temperature of 25 degrees Celsius is [tex]- 2\dfrac{\mu\text{m}}{\text{min}}[/tex]

Read more about residuals at:

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Answer:

61

Step-by-step explanation:

Answer:

Step-by-step explanation:

(3x+5)+75+x=180⁰

3x+5+75+x=180

4x=180-80=100

x=100/4=25⁰

The volume of the prism that is completely filled by 80 cubes of edge length 1/2 cm is 10 cm³.

To calculate the volume of the prism, we use the formula below.

Formula:

Where:

From the question,

Given:

Substitute these values into equation 1

Hence, The volume of the prism is 10 cm³.
Learn more about prism here: https://brainly.com/question/23963432

Answer:

6√3

Step-by-step explanation:

Let's take the vertical side in the middle as y and the side on the left as z.

We have:

from the right triangle on the right:

9²+y²=x²

from the right triangle over the big triangle:

z²+x²=(9+3)²=12²

from the right triangle on the left:

3²+y²=z²

We can use substitution in our three equations to get x.

9²+y²=x²

z²+x²=12²

3²+y²=z²

First, solve for y² in terms of x². We want everything in terms of x so we can solve for it.

9²+y²=x²

subtract 9² from both sides

x²-81 = y²

plug that into the third equation

3²+(x²-81)=z²

x²-72=z²

z²+x²=144 (the second equation)

plug x²-72 for z²

x²-72+x² = 144

add 72 to both sides

2x² =216

divide both sides by 2 to isolate x²

x²=108

square root both sides to get x

x = √108 = 6√3

Answer:

0.4

Step-by-step explanation:

I can't draw a model, but I will give you an equation!

Two items are going to be divided amongst five people:

2/5=0.4

Each person will get 0.4 OR 4/10 of the two items.

Here's a math problem you could use:

Henry and his 4 friends want to eat some chocolate, but there's only two bars, Henry suggests that they just split it equally. If everyone get's an equal share, how much did each get? Everyone got 0.4 of the two chocolate bars.

Each person will get 0.4 OR 4/10 of the two items.

Total layers=6

Total volume:-

Answer:

(1/6)π = 0.524

Step-by-step explanation:

Volume of Sphere = [tex]\frac{4}{3} *\pi *r^{3}[/tex]

Volume of Sphere = [tex]\frac{4}{3} *\pi *0.5^{3}=\frac{1}{6} \pi[/tex]

Answer:

V = (1/6)π

Step-by-step explanation:

Use the sphere volume formula:

V = (4/3)(π)(r^3)

V = (4/3)(π)(1/2)^3

V = (4/3)(π)(1/8)

V = (4/24)π

V = (1/6)π

Answer:

$4000 Is the Schrader family monthly budget

Step-by-step explanation:

Take $600 and DIVIDE it by .15 to get $4000

Answer:

D. 7n = 28

Step-by-step explanation:

Let's substitute 4 for n in each equation to check if it the resulting equation is correct:

[tex]6+n=24\\ 6+4=24\\ 10\neq 24\rightarrow \text{Incorrect!}[/tex]

[tex]5n=54\\5(4)=54\\20\neq54\rightarrow\text{Incorrect!}[/tex]

[tex]12-n=16\\12-4=16\\8\neq16\rightarrow\text{Incorrect!}[/tex]

[tex]7n=28\\7(4)=28\\28=28\rightarrow\text{Correct!}[/tex]

Therefore the answer is D

Step-by-step explanation:

Answer:

4%

Step-by-step explanation:

1% of 900: 9

9 * 4 = 36

Answer:

B

Step-by-step explanation:

One input must have one output.

If x were to be 3, then there would be two inputs for 3, and there should only be one.

Therefore, the answer is B.

Answer:

y = -12

Step-by-step explanation:

any equation with only an x or y value present will either be a vertical or horizontal line. Because the y axis is vertical, a line that is present on y=-12 will sit on y=-12 forever, and therefore be a horizontal line

Answer:

[tex]\displaystyle y = -12[/tex]

Step-by-step explanation:

If any quantity is set equivalent to y, then it is a horisontal line. In other wourds, it is considered a zero rate of change [slope].

I am joyous to assist you at any time.

#1

[tex]\\ \rm\rightarrowtail x+1=9[/tex]

[tex]\\ \rm\rightarrowtail x=9-1[/tex]

[tex]\\ \rm\rightarrowtail x=8[/tex]

#2

[tex]\\ \rm\rightarrowtail 8+1=9[/tex]

Hence verified

[tex]x + 1 = 9[/tex]

[tex]x = 9 - 1[/tex]

[tex]x = 8[/tex]

[tex]8 + 1 = 9[/tex]

[tex]9 = 9[/tex]

Hence, Verified!

Answer:

Please tell me the total of students?

Step-by-step explanation:

Answer:

70% of the people at the carnival are students.

Step-by-step explanation:

Since the total is 550:

To find the percentage, we need to divide the amount of students by the total:

385/550=0.7

Then multiply the quotient by 100 and you have the percentage!

0.7*100=70

GIVEN ↷

where,

h⤿ Height ⤏0

t ⤿ time⤏?

v⤿initial velocity⤏8ft/s

s⤿initial height⤏24ft

TO FIND ↷

SOLUTION ↷

we know that,

To factorise the equation, we'll divide the both side by 8 and multiply by -1

we get,

so,

2t - 3 = 0

2t = 3

t = 3/2

t = 1.5 seconds

hence, the diver will take 1.5 seconds to reach the maximum height

Now , to find the maximum height ,

we'll insert the value of time taken in the given equation which is ↷

Hence , the maximum height the diver will reach in 1.5 seconds = 0

Answer:

They had 7,618.8 subscribers last year.

Let me know if this helped :)

Step-by-step explanation:

We need to find 40% of 12,698

To do that, we need to multiply 12,698 by the decimal form of 40%.

12,698*0.40=5,079.2

Then, we need to subtract 5,079.2 from the amount of subscribers we had this year.

12,698-5,079.2= 7,618.8

Answer:

The answer is 1/2

Step-by-step explanation:

to find the answer you can multiply the to given fractions.

Hope that helps!

Answer:

See below for answers

Step-by-step explanation:

Problem 1

[tex]\frac{1}{sin\theta}=2cos\theta\: ; \: 0\leq\theta < 2\pi\\\\1=2sin\theta cos\theta\\\\1=sin2\theta\\\\\frac{\pi}{2}+2\pi n=2\theta\\ \\\frac{\pi}{4}+\pi n=\theta\\ \\\theta=\bigr\{\frac{\pi}{4},\frac{3\pi}{4},\frac{5\pi}{4},\frac{7\pi}{4}\bigr\}[/tex]

Therefore, the second option is correct.

Problem 2

[tex]cos(2x)+1=sin(x)+2\:;\: 0\leq x < 2\pi\\\\1-2sin^2x+1=sin(x)+2\\\\-2sin^2x=sin(x)\\\\0=2sin^2x+sinx\\\\0=sinx(2sinx+1)[/tex]

[tex]0=sinx\\\\x=\pi n\\\\x=0,\pi[/tex]

[tex]0=2sinx+1\\\\-1=2sinx\\\\-\frac{1}{2}=sinx\\ \\x=\frac{7\pi}{6}+2\pi n,\frac{11\pi}{6}+2\pi n\\\\x=\frac{7\pi}{6},\frac{11\pi}{6}[/tex]

Therefore, the solution set is [tex]x=\bigr\{0,\pi,\frac{7\pi}{6},\frac{11\pi}{6}\bigr\}[/tex], making the second option correct.

Problem 3

[tex]2cos^2x=-cosx\: ;\: 0^\circ\leq x < 360^\circ\\\\2cos^2x+cosx=0\\\\cosx(2cosx+1)=0[/tex]

[tex]cosx=0\\\\x=\frac{\pi}{2}+\pi n\\ \\x=90^\circ+180n^\circ\\\\x=90^\circ,270^\circ[/tex]

[tex]2cosx+1=0\\\\2cosx=-1\\\\cosx=-\frac{1}{2}\\\\x=\frac{2\pi}{3}+2\pi n,\frac{4\pi}{3}+2\pi n\\ \\x=120^\circ+360n^\circ,240^\circ+360n^\circ\\\\x=120^\circ,240^\circ[/tex]

Therefore, the solution set is [tex]x=\bigr\{90^\circ,120^\circ,240^\circ,270^\circ\bigr\}[/tex], making the fourth option correct

Answer:

B W(2,-4),X(6,-4)Y(6-10),Z(2,-10)

Step-by-step explanation:

i think dont get ur hopes ^

Answer:

number of math textbooks sold: 211

number of chemistry textbooks sold: 159

Step-by-step explanation:

let [tex]x[/tex] be the number of math textbooks sold

let [tex]y[/tex] be the number of chemistry textbooks sold

[tex]y=x-52[/tex]

[tex]y+52=x[/tex]

[tex]x+y=370[/tex]

[tex]y+52+y=370[/tex]

[tex]2y=318[/tex]

[tex]y=159[/tex]

[tex]x=159+52[/tex]

[tex]x=211[/tex]

Answer:

First choice

Step-by-step explanation:

He must ride 60 - 12 miles during the 6 days

Every day he rides x miles, 6 days, 6x miles

so 60 - 12 = 6x

First choice