Mr. Adams plans to have a swimming pool built in his backyard. He would like to have
a rectangular section and a square section for the design of his pool
Swimming Pool
- square foot
What is the total area of the swimming pool in square feet?
OF) 105 square units
OG) 26 square units
OH) 80 square units
OJ) 56 square units

Answer:

y - 4 = 4(x - 2)

Step-by-step explanation:

Please write these points as (2, 4) and (3, 8) (use commas and parentheses).

As we move from (2, 4) to (3, 8), x increases by 1 and y increases by 4.  Thus, the slope is m = rise/run = 4/1 = 4

and the equation of the line through these two points (in point-slope form) is

y - 4 = 4(x - 2)

The slope of the line that passes through the point (2 4) and (3 8) is​ 4

The formula for calculating the equation of a line passing through the point (x1, y1) and (x2, y2) is expressed using the formula:

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

Given the coordinate points (2 4) and (3 8), the slope is expressed as:

[tex]m=\frac{8-4}{3-2}\\m=\frac{4}{1}\\m = 4[/tex]

Hence the slope of the line that passes through the point (2 4) and (3 8) is​ 4

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Answer:

x = -4/3

Step-by-step explanation:

First, expand.

3 - 2(x - 4) = -5x - 7

Then, combine like factors.

3 - 2x + 8 = -5x + 7

11 - 2x = -5x + 7

Add 5x to both sides.

(11 - 2x) + 5x = (-5x + 7) + 5x

11 + 3x = 7

Subtract 11 from both sides.

(11 + 3x) - 11 = 7 - 11

3x = -4

Divide both sides by 3

(3x)/3 = -4/3

x = -4/3

Answer:

x = -6

Step-by-step explanation:

3-2(x-4)= -5x-7

Distribute

3 -2x +8 = -5x -7

Combine like terms

11 -2x = -5x -7

Add 5x to each side

11 -2x+5x = -5x-7+5x

11+3x = -7

Subtract 11 from each side

11+3x-11 = -7-11

3x = -18

Divide by 3

3x/3 = -18/3

x = -6

Answer:

0.9544

Step-by-step explanation:

Given that, his bell shapes and hence follows a normal distribution.

Mean (x) = 25.6 ; standard deviation (s) = 0.9

Approximate proportion of observation that lies between 23.8 and 27.4

Taking the Zscores of both values :

X - mean / standard deviation

(23.8 - 25. 6) / 0.9 = - 1.8/0.9 = - 2

P(Z < - 2) = 0.0228

Also;

(27.4 - 25.6) / 0.9 = 1.8 / 0.9 = 2

P(Z> 2) = 0.9772

0.9772 - 0.0228 = 0.9544

Answer:

45

2

03

16

26

224

Step-by-step explanation:

Answer:

Step-by-step explanation:

Given the following scores 3, 7 and 2, we are to find the expression Σ2X-2 and Σ(X-1)²

The value of X's are 3, 7 and 2. Substituting the values we will have;

Σ2X-2 = [2(3)+2(7)+2(2)] - 2

Σ2X-2 = (6+14+4) - 2

Σ2X-2  = 24-2

Σ2X-2  = 22

For  Σ(X-1)²

Σ(X-1)² = (3-1)²+ (7-1)² + (2-1)²

Σ(X-1)² = 2²+6²+1²

Σ(X-1)² = 4+ 36+1

Σ(X-1)² = 41

Σ2X  - 2 = 22 , Σ( X - 1 )^2 = 41

Given : X = 3 , 7 , 2

Σ2X is calculated in the image = 24

Σ2X  - 2 = 24 - 2 = 22

Σ( X - 1 )^2 calculation is shown, it is = 41

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Answer:

16.5

Step-by-step explanation:

So we have the function:

[tex]f(x)=6x+1.5[/tex]

To find f(2.5), substitute 2.5 for x. Thus:

[tex]f(2.5)=6(2.5)+1.5[/tex]

Multiply:

[tex]f(2.5)=15+1.5[/tex]

Add:

[tex]f(2.5)=16.5[/tex]

And we're done!

Answer:

it a rational number

Step-by-step explanation:

there is always an odd exponent. So it could not have been made by squaring a rational number! This means that the value that was squared to make 2 (ie the square root of 2) cannot be a rational number. In other words, the square root of 2 is irrational.

Answer:

0.5<2-√2<0.6

Step-by-step explanation:

The original inequality states that 1.4<√2<1.5

For the second inequality, you can think of 2-√2 as 2+(-√2).

Because of the "properties of inequalities", we know that when a positive inequality is being turned into a negative, the numbers need to swap and become negative. So, the original inequality becomes -1.5<-√2<-1.4. (Notice how the √2 becomes negative, too). This makes sense because -1.5 is less than -1.4.

Using our new inequality, we can solve the problem. Instead of 2+(-√2), we are going to switch "-√2" with both possibilities of -1.5 and -1.6. For -1.5, we would get 2+(-1.5), or 0.5. For -1.4, we would get 2+(-1.4), or 0.6.

Now, we insert the new numbers into the equation _<2-√2<_. The 0.5 would take the original equation's "1.4" place, and 0.6 would take 1.5's. In the end, you'd get 0.5<2-√2<0.6. All possible values of 2-√2 would be between 0.5 and 0.6.

Hope this helped!

The possible values of  2-√2 will be in the range is 0.6  > 2 -√2 > 0.5.

Inequality is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are not equal.

Arithmetic operations can also be specified by the subtract, divide, and multiply built-in functions.

* Multiplication operation: Multiplies values on either side of the operator

For example 4*2 = 8

We have the given statement that 1.4 < √2 < 1.5

We have to determine the possible values of  2-√2 as 2+(-√2).

According to the question,

⇒ 1.4 < √2 < 1.5

Multiply by a minus sign (-) in the inequality

⇒ -1.4 > -√2 > -1.5

Adding 2 in the inequality

⇒ 2-1.4 > 2 -√2 > 2-1.5

⇒ 0.6  > 2 -√2 > 0.5

Hence, the possible values of  2-√2 will be in the range is 0.6  > 2 -√2 > 0.5.

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Answer:

9.1 or 10 weeks

Step-by-step explanation:

First you need to create an equation: 150 + 45w = 560

You need to get the w by itself. To do this we need to take 150 from both sides: 150 (-150) + 45w = 560 (-150)

45w = 410

Now we have to divide both sides by 45:

w = 9.1

So it took Briyana just over 9 weeks to save $560 for spring break

I hope this helps  

Let's work this out using the inequality it suggests.

We can use the form [tex]y=mx+b[/tex], but have the equals sign substitute out for whatever sign we need.

When you need to buy something, do you need to have more, less, or the same amount of money to buy something?

You need to have at least the same amount of money.

Which means that we'll be using the ≥ sign.

[tex]y\geq mw+b[/tex]

Now let's substitute in some values we know.

She has 150 to start off with, think of this as the y-intercept of the graph.

What variable represents the y-intercept?

You should've said b.

[tex]y\geq mw+150[/tex]

Now how much is she saving her week? $45.

Since this is how much she's saving every week, this represents the slope.

[tex]y\geq 45w+150[/tex]

Now, we can solve this plugging in 560 for [tex]y[/tex], which is how much money she needs.

[tex]560\geq 45x+150[/tex]

[tex]410\geq 45w[/tex]

[tex]\frac{82}{9}\geq w[/tex]

[tex]\frac{82}{9}[/tex] is 9.111 (repeating), but we need to round up to the nearest whole number because she probably doesn't deposit money constantly during the week, and rather all at once.

Which means that she needs to save money for 10 weeks to have enough money for the spring break trip.

Hope this helps.

頑張って!

Answer:

a) [tex]f(x) = 6x[/tex]

if x = input

then the function of the input is to  "multiply the input by 6"

b)  [tex]f(x) = 2x - 3[/tex]

the function of the input = two multiply by the input minus six

c) [tex]h(t) = t^3 - 5[/tex]

the function of the input = the cube of the input minus five

Step-by-step explanation:

Given that:

a) [tex]f(x) = 6x[/tex]

b) [tex]f(x) = 2x - 3[/tex]

c) [tex]h(t) = t^3 - 5[/tex]

The objective is to state in words the rule defined by each of the functions

We are being given the first question as a sample that:

a) [tex]f(x) = 6x[/tex]

if x = input

then the function of the input is to  "multiply the input by 6"

b)  [tex]f(x) = 2x - 3[/tex]

the function of the input = two multiply by the input minus six

c) [tex]h(t) = t^3 - 5[/tex]

the function of the input = the cube of the input minus five

Answer:

x=5

Step-by-step explanation:

4x−8=12

4x-8+{\color{#b14ba5}{8}}=12+{\color{#b14ba5}{8}}

4x−8+8=12+8

simplify

4x=20

divide both sides of the equation by the same term

4x=20

4

4x

​  

=  

4

20

​

the answer is

x=5

Steps to solve:

-4x - 8 = 12

~Add 8 to both sides

-4x = 20

~Divide -4 to both sides

x = -5

Best of Luck!

Answer:

5/3 does'nt belong.

Step-by-step explanation:

think about it.

33% = 1/3 = .6666666 they are all the same. 5/3 doesnt belong

The number 5/3 does not belong.

A fraction is a part of a whole. In arithmetic, the number is expressed as a quotient, in which the numerator is divided by the denominator. In a simple fraction, both are integers. A complex fraction has a fraction in the numerator or denominator.

Given number:

33%

Now, we can write the percentage as

33/100

≈1/3

on converting the fraction in decimal

=0.666...

Hence, the which does not belong this pattern is 5/3.

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Answer:

by answering others ppl questions

Answer:

you make points by answering to others peoples questions. :)

here's the answers

Answer:

5, 1, 5, 1.

Step-by-step explanation:

take it one step at a time.

for the first one f(g(1))

first do whats inside of the parenthesis.

> g(1), go to g(x) graph, go to x= 1 and your y-value is your new value (3)

> your new equation is now f(3)

→ go to f(x) graph, go to x= 3, your y-value is 5. Your final answer is 5.

Answer:

Hey there!

First, I converted 8 feet to inches. I knew that 12 inches were in a foot, so 96 inches are in 8 feet. If the water rises at 8 inches per hour, at the end of 6 hours, the water will rise 48 inches. Finally, subtracting 48 from 96, we get that there are 48 inches of rope above the water's surface.

Let me know if this helps :)

Answer:

Equilibrium price P = 200 dollars

equilibrium demand of million e-readers per yer = 2.6 mi/yr

Step-by-step explanation:

Given that;

q = 720/p - 1 million units per year { 60 ≤ p ≤ 400 }

supply q = 0.018p − 1 million units per year (60 ≤ p ≤ 400)

we substitute

720/p - 1  = 0.018p − 1

720/p = 0.018p

720 = 0.018p^2

p^2 = 720/0.018 = 40000

p = sqrt(40000)

p = 200

substitute value of p

q = 0.018(200) − 1

q = 3.6 - 1 = 2.6

Therefore Equilibrium price P = 200 dollars

equilibrium demand of million e-readers per yer = 2.6 mi/yr

Answer:

(a)

291.7 = 2.917*10²

291.7 = 2917*10⁻³

(b)

0.0960  = 9.6*10⁻²

0.0960  = 96*10⁻³

Answer:

aef = fed = 51 degrees,

and the full angle aed = 102 degrees

Step-by-step explanation:

If ef bisects the angle aed, then the two angles it defines: aef and fed, must measure the same.

Therefore we can asume that aef = fed which numerically means:

4 x + 3 = 7 x - 33

so we solve for x:

33 + 3 = 7 x - 4 x

36 = 3 x

x = 36/3

x = 12 degrees

That means that the half angle aef measures:

aef = 4 x + 3 = 4 (12) + 3 = 48 + 3 = 51 degrees

Then we have that aef = fed = 51 degrees,

and the full angle aed = 51 + 51 = 102 degrees

Answer:

[tex]Volume = \frac{220}{7}r^2[/tex]

Step-by-step explanation:

Given

Height = 10cm

See Attachment for complete question

Required

Determine the volume of the circle

The volume is calculated as thus;

[tex]Volume = \pi r^2h[/tex]

Take [tex]\pi[/tex] as [tex]\frac{22}{7}[/tex]

So; Volume becomes

[tex]Volume = \frac{22}{7} * r^2 * h[/tex]

Substitute 10 for h

[tex]Volume = \frac{22}{7} * r^2 * 10[/tex]

[tex]Volume = \frac{220}{7} * r^2[/tex]

Since, the value of the radius is not given;

The volume of the circle is:

[tex]Volume = \frac{220}{7}r^2[/tex]

Answer:

A. Vertical translation

Step-by-step explanation:

Edge test

Answer:

Options 2, 3, and 4

Step-by-step explanation:

So overall Dominique gets $3 plus $1.25/mile and totals out $11.75

If we call the miles driven x, like they say, then the equation for earnings is:

1.25x+3=11.75

or some variation of that. We can see that as option 4, but a closer look at the other options shows us that options 2 and 3 are also true. These choices are simply the original equation correctly multiplied by a factor of 2 (the other options are incorrect multiplications).

So those are our answers.

Answer:

70.833333

Step-by-step explanation:

Divide 425 by 6

Step-by-step explanation:

drugs dgxln fix ezutxohcpuvpucitzkyxoh pi

Answer:

1/3

Step-by-step explanation:

1/4×3/2×8/9

Rewriting

8/4 * 3/9 *1/2

Simplify

2 * 1/3 * 1/2

Rewriting

2/2 * 1/3

1 * 1/3

1/3

Answer:

See answer in the image below.

Answer:

here u go

Step-by-step explanation:

16 /5      =3 and 1 over 53  1 /5=3.2

Answer:

So theres 13 cards of heart and diamond

so 26 cards out of 52,

26/52

Answer:

21

Step-by-step explanation: