help meeeeeeeeee pleasee

Help Meeeeeeeeee Pleasee

Answers

Answer 1

Answer: 19.6 feet

Step-by-step explanation:

Using the Pythagorean theorem,

[tex]x^2 +(x+6)^2 =48^2\\\\x^2 +x^2 +12x+36=2304\\\\2x^2 +12x-2268=0\\\\x^2 +6x-1134=0\\\\x=\frac{-6 \pm \sqrt{6^2 -4(1)(-1134)}}{2(1)}\\\\x \approx 30.8 \text{ } (x > 0)\\\\\implies x+(x+6) \approx 67.6\\\\\therefore (x+(x+6))-48 \approx 19.6[/tex]


Related Questions


Use the line of best fit to make a
conjecture about the value of
Heather's portfolio at the end of
year 8.

Answers

Answer:   25

Step-by-step explanation:

The Associative Property applies to which operations? Check all that apply.

Answers

Hello! First, let's remember what is Associative Property:

It is a mathematical rule who says that the order of the factors doesn't change the final result of a calculus.

We have the associative property in two mathematical operations, I'll show you some examples:

If we want to sum three numbers, 5, 10 and 15, how is the right way? We have some ways to do it:

(5+10)+15 = (15)+15 = 30

(5+15)+10 = (20)+10 = 30

5+(10+15) = 5+(25) = 30

So, no matter the order of the numbers, we will always get the same result.

An example with the other operation now:

If we want to multiply three numbers, 2, 3 and 5:

(2*3)*5 = (6)*5 = 30

(2*5)*3 = (10)*3 = 30

2*(3*5) = 2*(15) = 30

Also, no matter the order of the factors, we'll always obtain the same result.

However, in the subtraction and in the division we have to follow the right order, according to the precedence, so we can't use the Associative Property on these operations.

Right answer: C and D.

write an exponential function to model the situation. find the amount after the specified time. $1,000 principal, 3.6% compounded monthly for 10 years

Answers

We can model this problem by an exponential growth:

[tex]A=P(1+\frac{r}{n})^{nt}[/tex]

where A is the amount accumulated, P is the principal, r is the interest rate, n is the number of times per year and t is the time. By substituting our given data, we get

[tex]\begin{gathered} A=1000(1+\frac{0.036}{12})^{12t} \\ A=1000(1+0.003)^{12t} \end{gathered}[/tex]

therefore, the model is

[tex]A=1000(1.003)^{12t}[/tex]

Now, by substituting t=10 years, we have

[tex]A=1000(1.003)^{120}[/tex]

then, the amount will be

[tex]A=1432.55\text{ dollars}[/tex]

Write the coefficient of x in the following terms
3. xy
1. 24x
4. x
2. abx

5. 3xy
6. xyz

Answers

Answer:

1. 1

2. 24

3. 1

4. 1 [ab]

5. 3

6. 1

Step-by-step explanation:

Every variable or alphabet's coefficient is the number on the left of it.

e. g coefficient of x is 1.

or coefficient of 83x is 83

A store manager paid $44.00 for a shirt. She marked up the price of the shirt by 80% and then sold the shirt what was the selling price of the shirt

Answers

[tex]\text{selling price of shirt = \$79.2}[/tex]Explanation:

Cost price = $44

mark up percent = 80% = 80/100 = 0.8

selling price = ?

The markup formula:

[tex]markup=\text{ }\frac{selling\text{ price - cost price}}{\cos t\text{ price}}[/tex][tex]\begin{gathered} 0.8=\text{ }\frac{selling\text{ price - 4}4}{44} \\ \text{cross multiply:} \\ \text{0.8(44) }=\text{ selling price - 44} \\ \end{gathered}[/tex][tex]\begin{gathered} 35.2\text{ = selling price - 44 } \\ 35.2\text{ + 44 = selling price } \\ \text{selling price = \$79.2} \end{gathered}[/tex]

Please help me solve for X, I am including a picture

Answers

Answer:

x = 14

Explanation:

To get the value of x, we wll be using the SOH CAH TOA identity

Using sin theta = opposite/hypotenuse

[tex]\begin{gathered} sin45\text{ = }\frac{h}{7\sqrt[]{6}} \\ h\text{ =7}\sqrt[]{6}\text{ sin45} \\ h\text{ = 7}\sqrt[]{6}\times\frac{1}{\sqrt[]{2}} \\ h\text{ = 7}\sqrt[]{3} \end{gathered}[/tex]

h is the vertical height of the triangles.

Next is to get the value of x;

Similarly;

[tex]\begin{gathered} \sin \text{ 60 = }\frac{h}{x} \\ \text{ sin60 = }\frac{7\sqrt[]{3}}{x} \\ x\text{ = }\frac{7\sqrt[]{3}}{\sin 60} \\ x\text{ = }\frac{7\sqrt[]{3}}{\frac{\sqrt[]{3}}{2}} \\ x\text{ = 7}\sqrt[]{3}\times\frac{2}{\sqrt[]{3}} \\ x\text{ = 7}\cdot2 \\ x\text{ =14} \end{gathered}[/tex]

Hence the value of x required is 14

Caleb wants to buy a pair of shoes that cost $49.95. He also wants to buy a T-shirt, but he cannot spend more than $60. He needs to calculate how much he can spend on a T-shirt. Which inequality models this situation?

Answers

Answer:

C) x + 49.95 ≤ 60

Step-by-step explanation:

Let the cost of T-shirt is x.

The cost of pair of shoes is $49.95 and the total should be no more than $60.

This can be modeled as:

x + 49.95 ≤ 60

The matching choice is C.

Find the value of x in the triangle shown below

Answers

The answer is C, the square root of 65 (8.062).

Follow the steps to solve the equation.

Answers

Given equation is

[tex] \sqrt[3]{x {}^{2} - 7 } = \sqrt[3]{2x + 1} [/tex]

to solve this equation we first need to cube both the sides . As this would remove the cube root on both the sides ,

[tex]\longrightarrow (\sqrt[3]{x^2-7})^3 = (\sqrt[3]{2x+1})^3[/tex]

This would become ,

[tex]\longrightarrow x^2-7=2x+1 \\[/tex]

[tex]\longrightarrow x^2-2x-7-1=0\\[/tex]

[tex]\longrightarrow x^2-2x-8=0\\[/tex]

[tex]\longrightarrow x^2 -4x +2x -8=0\\[/tex]

[tex]\longrightarrow x(x-4)+2(x-4)=0\\ [/tex]

[tex]\longrightarrow (x+2)(x-4)=0\\[/tex]

[tex]\longrightarrow \underline{\underline{ x = 4,-2}} [/tex]

And we are done!

Answer:

[tex]\textsf{To solve the given equation, $\boxed{\sf cube}$ both sides}.[/tex]

Step-by-step explanation:

Given equation:

[tex]\sqrt[3]{x^2-7} =\sqrt[3]{2x+1}[/tex]

[tex]\textsf{Apply exponent rule} \quad \sqrt[n]{a}=a^{\frac{1}{n}}:[/tex]

[tex]\implies (x^2-7)^{\frac{1}{3}}=(2x+1)^{\frac{1}{3}}[/tex]

Cube both sides of the equation:

[tex]\implies \left( (x^2-7)^{\frac{1}{3}}\right)^3= \left((2x+1)^{\frac{1}{3}}\right)^3[/tex]

[tex]\textsf{Apply exponent rule} \quad (a^b)^c=a^{bc}:[/tex]

[tex]\implies (x^2-7)^{\frac{3}{3}}=(2x+1)^{\frac{3}{3}}[/tex]

[tex]\implies (x^2-7)^{1}=(2x+1)^{1}[/tex]

[tex]\textsf{Apply exponent rule} \quad a^1=a:[/tex]

[tex]\implies x^2-7=2x+1[/tex]

Subtract 2x from both sides:

[tex]\implies x^2-2x-7=1[/tex]

Subtract 1 from both sides:

[tex]\implies x^2-2x-8=0[/tex]

Rewrite -2x as (-4x + 2x):

[tex]\implies x^2-4x+2x-8=0[/tex]

Factor the first two terms and the last two terms separately:

[tex]\implies x(x-4)+2(x-4)=0[/tex]

Therefore:

[tex]\implies (x+2)(x-4)=0[/tex]

Apply the zero-product property:

[tex]x+2=0 \implies x=-2[/tex]

[tex]x-4=0 \implies x=4[/tex]

What is the slope of the line that passes through the points (5, 8) and (11, 5)? Write
your answer in simplest form.

Answers

m = 0
Step-by-step explanation:
Let P2 = (-11, 8)
P1 = (-5, 8)
Use the following equation for the slope:

= (8 - 8) / (-5 + 11)
= 0
This means that the line is horizontal.

A sector with a radius \maroonD{18\,\text{cm}}18cmstart color #ca337c, 18, start text, c, m, end text, end color #ca337c has an area of \goldE{234\pi\,\text{cm}^2}234πcm 2 start color #a75a05, 234, pi, start text, c, m, end text, squared, end color #a75a05.

Answers

The formula for the area (A) of the sector is,

[tex]A=\frac{\theta}{360^0}\times\pi r^2[/tex]

Given

[tex]\begin{gathered} r=18cm \\ A=234\pi cm^2 \end{gathered}[/tex]

Therefore,

[tex]234\pi=\frac{\theta}{360}\times\pi(18)^2[/tex]

Solve for θ

[tex]\begin{gathered} \frac{θ}{360}\pi \left(18\right)^2=234\pi \\ \frac{9\pi θ}{10}=234\pi \\ \frac{10\times \:9\pi θ}{10}=10\times \:234\pi \\ 9\pi θ=2340\pi \\ \mathrm{Divide\:both\:sides\:by\:}9\pi \\ \frac{9\pi θ}{9\pi }=\frac{2340\pi }{9\pi } \\ \thereforeθ=260^0 \end{gathered}[/tex]

Hence, the answer is

[tex]260^0[/tex]

SOMEONE PLEASE ANSWER THIS QUESTION!

Answers

The answer would be the second one 5^2+4

Im an older lady not the best at this type of math please help

Answers

We need to first find the intersection between Q and R, which is the common elements between both groups. We have:

[tex]Q\cap R=\mleft\lbrace r,e,x\mright\rbrace[/tex]

Now we need to determine the union between them:

[tex]P\cup(Q\cap R)=\mleft\lbrace e,x,a,c,t,r,e,x\mright\rbrace[/tex]

Exercise #99) g(x) = x3 + x f(x) = 2x-3 - 3 Find (gof)(x)

Answers

Given two functions f(x) and g(x), its composition will be:

[tex](g\circ f)=g(f(x))[/tex]

It is read g compound f or simply said to g we are going to fill it with f. So, you have

[tex]\begin{gathered} (g\circ f)=g(f(x)) \\ (g\circ f)=(2x-3)^3+(2x-3) \end{gathered}[/tex]

To expand the binomial, apply the binomial formula to the cube, that is:

[tex](a-b)^3=a^3-3a^2b+3ab^2-b^3[/tex]

So, you have

[tex]\begin{gathered} (g\circ f)=(2x-3)^3+(2x-3) \\ (g\circ f)=(2x)^3-3(2x)^2(3)+3(2x)(3)^2-(3)^3+(2x-3) \\ (g\circ f)=2^3x^3-3(2^2x^2)(3)+3(2x)9-27+(2x-3) \\ (g\circ f)=8x^3-3(4x^2)(3)+54x-27+(2x-3) \\ (g\circ f)=8x^3-36x^2+54x-27+2x-3 \end{gathered}[/tex]

Finally, operate similar terms

[tex](g\circ f)=8x^3-36x^2+56x-30[/tex]

110.4 ÷4 step bye step show me pictures

Answers

we ahve

110.4 ÷4

so

110.4/4

Multiply by 10/10 the expression

1104/40

simplify

1104/40=552/20=276/10=27.6

the answer is 27.6

Solve the system using the substitution technique:(−6, −3.6)(0.6, 0.8)(6, 4.4)(−0.6, 0)

Answers

Given

The system of equations,

[tex]\begin{gathered} -2x+3y=1.2\text{ \_\_\_\_\_}(1) \\ -3x-6y=1.8\text{ \_\_\_\_\_}(2) \end{gathered}[/tex]

To find the solution using substitution technique.

Explanation:

It is given that,

[tex]\begin{gathered} -2x+3y=1.2\text{ \_\_\_\_\_}(1) \\ -3x-6y=1.8\text{ \_\_\_\_\_}(2) \end{gathered}[/tex]

That implies,

[tex]\begin{gathered} (1)\Rightarrow-2x+3y=1.2 \\ \Rightarrow3y=1.2+2x \end{gathered}[/tex]

And,

[tex]\begin{gathered} (2)\Rightarrow-3x-6y=1.8 \\ \Rightarrow-3x-2(3y)=1.8 \end{gathered}[/tex]

Substitute 3y=1.2+2x in the above equation.

That implies,

[tex]\begin{gathered} -3x-2(1.2+2x)=1.8 \\ -3x-2.4-4x=1.8 \\ -7x=1.8+2.4 \\ -7x=4.2 \\ x=\frac{4.2}{-7} \\ x=-0.6 \end{gathered}[/tex]

And, substitute x=-0.6 in (1).

That implies,

[tex]\begin{gathered} (1)\Rightarrow-2(-0.6)+3y=1.2 \\ \Rightarrow1.2+3y=1.2 \\ \Rightarrow3y=1.2-1.2 \\ \Rightarrow3y=0 \\ \Rightarrow y=0 \end{gathered}[/tex]

Hence, the solution is (-0.6,0).

Fence A is 1 1/2 yards long but is 1 4/5 inches long on the blueprint. What is the unit rate per yard on this blue print? If fence B is 10 yard king,how long is fence B on the blueprint

Answers

The unit rate per yard is 0.03yards per unit

The length of fence B is 0.3yards

What is unit rate?

A rate is a ratio that is used for comparing two different kinds of quantities which have different units. On the other hand, the unit rate illustrates how many units of quantity correspond to the single unit of another quantity. We say that when the denominator in rate is 1, it is called unit rate. In fact, unit rate is said to be the amount of something in each unit or per unit.

Fence A which is 1 1/2yards but 1 4/5inches on blueprint. 1 inch = 0.0278 yards

blueorint reading = 9/5×0.0278=0.05=5/100yards

therefore the scale is 3/2 : 5/100 = 3/2÷5/100

= 3/2×100/5= 1:30 = 0.03 :1

therefore the unit rate / yard = 0.03yardperunit

if a fence B is 10yards then on the blueprint it will be 10×0.03= 0.3yards

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Subtract 7x minus 8 from 2x^2- minus 1

Answers

Expression 2x²-(-1) - [7x-8] is equal to 2x² - 7x +9

Expression is combination of math operations , numbers and unknown variables.

Math operation can be subtraction , addition , multiplication or division.

There are two types of expression : numerical expression and algebraic expression . Expression consists of only numbers are numerical where expression containing numbers and variables are algebraic expression.

Subtract 7x-8 from 2x²-(-1)

2x²-(-1) - [7x-8]

product of two minus is plus

2x²+1 -[7x-8]

open the bracket and change the minus sign

2x²+1 - 7x + 8

there is no x² and x term so,

2x² - 7x +1+8

2x² - 7x +9 is our required expression

 

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What is the volume of a hemisphere with radius 3 ft? What is the volume of a hemisphere with diameter 13 cm?

Answers

The volume of a sphere is given by

[tex]V_s=\frac{4}{3}\pi r^3[/tex]

Since a hemisphere is half sphere, its volume is given by

[tex]\begin{gathered} V_{}=\frac{4}{6}\pi r^3 \\ \text{which is equivalent to} \\ V_{}=\frac{2}{3}\pi r^3 \end{gathered}[/tex]

where r is the radius.

Case a.

In this part r=3 ft, then by substituting this values into our last formula we get

[tex]V=\frac{2}{3}(3.1416)(3^3)[/tex]

which gives

[tex]V=56.55ft^3[/tex]

Case b.

In this part r=(13/2) cm, then by substituting this values into our last formula we get

[tex]V=\frac{2}{3}(3.1416)(6.5^3)[/tex]

which gives

[tex]V=287.59cm^3[/tex]

An = -8 - (n-1)2

what’s an equation equivalent
An = -2n-6
An = -2n-10
An = -8n -2
An = -2 - 8(1-n)

Answers

First one
Distribute negative and multiply= -8-2n+2
Reorder and combine like terms= -2n-6
Final Answer^

If f(x) = x² +3,then f (x + h) =

Answers

The function is  f(x) = x² +3,then f (x + h)  = [tex]x^2+2xh +h^2+3[/tex].

Given,

In the question:

The function is given as:

f(x) = x² +3

To find the f (x + h) = ?

Now, According to the question:

Substitute x = x + h into f(x) = x² +3

f(x + h) =  (x+ h)² +3

Expand the expression using:

[tex](a +b)^2 = a^2 +2ab+b^2[/tex]

f(x + h) = [tex]x^2+2xh +h^2+3[/tex]

Hence, The function is  f(x) = x² +3,then f (x + h)  = [tex]x^2+2xh +h^2+3[/tex].

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If you know that 84 is 70% of the whole, how can you use proportional reasoning to determine the whole?

70100 shows 70% as a ratio. The ratio 84x compares 84 to the whole, x. Write an equation so that the first ratio is equal to the second ratio. Solve for x : x = 120.

70100 shows 70% as a ratio. The ratio 84x compares 84 to the whole, x. Write an equation so that the first ratio is multiplied by the second ratio. Solve for x : x = 58.8.

70100 shows 70% as a ratio. The ratio x84 compares 84 to the whole, x. Write an equation so that the first ratio is multiplied by the second ratio. Solve for x : x = 120.

70100 shows 70% as a ratio. The ratio x84 compares 84 to the whole, x. Write an equation so that the first ratio is equal to the second ratio. Solve for x : x = 58.8.

Answers

The value of x is 120.

70/100 shows 70% as a ratio. The ratio x : 84 compares 84 to the whole, x. Write an equation so that the first ratio is multiplied by the second ratio. Solve for x : x = 120.

Given, that 84 is 70% of the whole.

Let the whole be x,

According to the question,

(70/100) × x = 84

On multiplying both the sides by 100/70, we get

x = 84×100/70

Now, on solving the expression, we get

x = 120

Hence, 70/100 shows 70% as a ratio. The ratio x : 84 compares 84 to the whole, x. Write an equation so that the first ratio is multiplied by the second ratio. Solve for x : x = 120.

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7. Compare Ann and Barry Lindale's expenses for renting versus owning a home inthe table below.a. Complete each table.b. Is it less expensive for them to buy or rent a home, and what is the difference?

Answers

To complete the tables, we multiply the given numbers:

First table:

[tex]\begin{gathered} Rent:\text{ 850}\times12=10200, \\ Phone,\text{ Internet \& Cable TV: }99\times12=1188. \end{gathered}[/tex]

Second table:

[tex]Phone,\text{ Internet \& Cable TV: }99\times12=1188.[/tex]

Now, to determine which option is less expensive we compute the total annual expenses for each case:

1.-Rental:

[tex]10200+45+180+1560+2400+1188=15,573.[/tex]

2.- Homeowner:

[tex]6600+3600+480+1710+2400+1188+570+960+1180=18,688.[/tex]

From the above calculations, we can conclude that the cheaper option based on the given annual expenses is to rent.

Answer:

Renting is less expensive.

William is 4 years older than three times Alex's age . William is 31 years old . How old is Alex

Answers

Answer:

13

Step-by-step explanation:

.

Answer:

Alex is 14 years old.

Step-by-step explanation:

You can take William's age and divide it by 3, because William is 3 times the age of Alex:

31 divided by 3 = 10.33.

So, we will just say 10 for now.

Now, we add 4 to the 10 because WIlliam is 4 years older than three times his age.

So, in conclusion, Alex is 14 years old.

May I have Brainliest please? I am so close to getting my next ranking! I just need 2 more for it! I would really appreciate it, and it would make my day! Thank you so much, and have a wonderful rest of your day!

Plssss help!
Geometry A
Brainliest

Answers

Answer:

18 ft.

Step-by-step explanation:

Please help topic is geometry

Answers

Image of point O(-2,-1) after two reflections , first across the line y=5 and then across the line x = 2 is (6,11) .

What do you mean by reflection in coordinate plane?

A reflection is referred to as a flip in geometry. A reflection is the shape's mirror image. A line, called the line of reflection, will allow an image to reflect through it. Every point in a figure is said to reflect the other figure when they are all equally spaced apart from one another. The reflected picture should have the same size and shape as the original, but it faces the opposite way. Changes in position during contemplation may also result in translation. Pre-image and image are terms used to refer to the same thing in this context.

Given point is O(-2,-1)

It is given that point O has reflected twice,

Firstly point O has reflected across the line y= 5

So, it become ,

(-2,11)

Secondly, it is reflected across the line x = 2

So, it become,

(6,11)

Hence, image of point O(-2,-1) after two reflections , first across the line y=5 and then across the line x = 2 is (6,11) .

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Using the counting principle determine the number of elements in the sample space. Two digits are selected without replacement from the digits 1,2,3,4,5 and 6

Answers

Consider the experiment of picking one digit first from the initial set (digits from 1 t) 6, and then pgrabbing a second digit without eplace,ment.

As for the first part of the experiment, there are 6 digits to choose from; however, during the second round, there are only 5 digits available. Therefore, according to the counting principle, the sample space has

[tex]6*5=30[/tex]

30 elements. he answer is 30 elements in the sampele space.

A writer counted the number of pages she wrote in one year. The graph shows the relationship between the number of short stories written, x, and the number of pages written, y. coordinate plane with the x axis labeled number of short stories and the y axis labeled number of pages with a line that passes through the points 0 comma 1 and 1 comma 3 Part A: Calculate the slope of the linear equation shown in the graph. Show all necessary work. (3 points) Part B: What does the slope mean for the relationship between the number of pages written and the number of short stories written? (3 points) Part C: Interpret the y-intercept in the situation. (3 points) Part D: Write the equation of the line shown on the graph in slope-intercept form. (3 points)

Answers

I hope this helps! Good luck! Lmk if you need more help dude.

Step-by-step explanation:

A. Slope formula: y2-y1/x2-x1

(0,1) and (1,3)

3-1/1-0=2

The slope is 2.

B. I think the slope means there are 2 pages for every 1 short story written.

C. y=2x+1

2 is the slope, we see the line crosses through at (0,1) so it is our y-intercept.

A. The slope of the linear equation is 2.

B. The slope indicates that the number of pages written increases by a constant rate of 2 pages.

C. The y-intercept means that the initial number of page is 1.

D. The equation of the line in slope-intercept form is y = 2x + 1.

How to determine the slope and equation of this graph?

Part A. First of all, we would determine the slope of the line represented by this graph;

Slope (m) = (y₂ - y₁)/(x₂ - x₁)

Slope (m) = (7 - 3)/(3 - 1)

Slope (m) = 4/2 = 2.

Part B.

The meaning of the slope is that the number of pages written by this writer increases by 2 every year. Therefore, there are two number of pages for every (1) short story that is written by the writer.

Part C.

The y-intercept is located at point (0, 1) and in the context of the situation, it indicates that there is a page when the number of short story is equal to zero (0) or when there are no short stories written.

Part D.

In Mathematics and Geometry, the slope-intercept form of a straight line can be calculated by using the following mathematical equation:

y = mx + b

Where:

x and y represent the points.b is the y-intercept.m represent the slope.

By substitution, a linear equation for the line is given by:

y = mx + b

y = 2x + 1

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Ava ,cole and Zane have a total of 175 stickers.the ratio of the number of stickers Ava has to the number of stickers cole has is 5:3. The ratio of the number of the number of stickers cole has to the number of stickers Zane has in 2:3. How many stickers do Ava have?

Answers

Ava has 70 stickers.

Given that the ratio of the number of stickers Ava has to the number of stickers Cole has = 5:3 = 10:6

Also, the ratio of the number of stickers Cole has to the number of stickers Zane has = 2:3 = 6:9

Thus, the compounded ratio of the number of stickers Ava, Cole and Zane has is = 10:6:9

Let the numbers of stickers of Ava has be = 10x

The number of stickers of Cole has, is = 6x

The number of stickers of Zane has, is = 9x

According to question, the total number of stickers they have is 175. So,

10x+6x+9x = 175

25x = 175

x = 175/25

x = 7

Hence Ava has = 10x = 10*7 = 70 stickers.

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Drag each number to the correct location on the image.
Classify the real numbers below as rational or irrational numbers.


AWNSER GETS BRAIN

Answers

Answer:

Step-by-step explanation:

1. Square root of 8 is not a rational number.

2. 1/4 is a rational number.

3. Square root of 90 is not a rational number.

4. 2/3 is a rational number.

5. Square root of 4 is not a rational number.

6. /2 is not a rational number.

7. is not a rational number.

I think these are right, please give me brainliest.

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evaluate the expression:[tex] \frac{8}{5 - 1} \times (3 + 6) \times 3[/tex]A)102B)-12C)62D)54 Sir Kay follows the code of chivalry because he A rectangular patio measures 20 ft by 30 ft. You want to double the patio area by adding the same distance x to the length and width. Write and solve an equation to find a value for x, then find the new dimensions for the patio. In the diagram, M is the midpoint of BD and AC. Name two triangles that are congruent.BADABMCX ADMAA ABDACBAA CDM ABMADAB ABCD PLEASE HELP!!!!!!!!Choose the two graphs that preserve congruence. The total cost function for a product is given by C(x)=3x39x2243x+1229, where x is the number of units produced and C is the cost in hundreds of dollars. Use factoring by grouping and then find the number of units that will give a total cost of at least $50,000. Verify the conclusion with a graphing utility. helpppp. find the quotient 2^3 divided by 5^28/252/525/8 What type of figurative language is " She is about the size of a penny roll." find al the solutions for x.9. 8x2+19 = 54 +3x 1.40 L solution was made by mixing 69.3 mL of dioxane, Which has a density of 1.03 g/mL, and 1.3 L of Toluene, Which has a density of 0.87 g/mL. Calculate the volume percent of dioxane in the solution. Be sure your answer has the right number of significant digits.? %(v/v) Three volunteers are chosen at random from a group of 20 people to help at a camp. How many unique groups of volunteers are possible? Suppose two monsters that are heterozygous for eye shapeare crossed. What is the likelihood that the offspring will havethree eyes? (Note: Two eyes are dominant to three eyes.) The patient recovery time from a particular surgical procedure is normally distributed with a mean of 3 days and a standard deviation of 1.7 days. Let X be the recovery time for a randomly selected patient. Round all answers to 4 decimal places where possible.a. What is the distribution of X? X ~ N(,)b. What is the median recovery time? daysc. What is the Z-score for a patient that took 4.1 days to recover? d. What is the probability of spending more than 2.4 days in recovery? e. What is the probability of spending between 2.7 and 3.4 days in recovery? f. The 80th percentile for recovery times is days. The sum of two integers is 463, and the larger number is 31 more than 5 times the smaller number. Findthe two integers. here is a net of right triangles and rectangles all measurements are given in centimeters. In the diagram, BAE is a semicircle, and mZACE = 28 . Based on your explorations, which of the following statements must be true. Select all that apply. The graph above: One to one function Function but not one to one Relation but not a function What is a law?A. A well-tested explanation as to why something occurs that is generally accepted B. An assumption made about an experience C. A scientific explanation for a set of observations that can be testedD. A proven, universal truth that states what happens . Ashton picked 6 pounds of pecans. He wants to share the pecans equally among 5 of his neighbors. How many pounds of pecans each neighbor get? A 5/11 pound B 5/6 pounds C 1 1/2 pounds D 2 1/5 what type of variables do we need to investigate correlation? select one: a. one numeric and one categorical variable b. two categorical variables c. you can investigate correlation between any variables d. two numeric variables