Carmel draws a plan of her school using a scale of 1 cm to 5 m.
On the plan, the playground is 6 cm long.
What is the real length of the playground?

The amount that the man have in his bank at the second year is $100,352.

Using this formula

A=P(1+R÷100)^n

Where:

A=Amount

P=Principal=$80,000

R=Rate=12%

n=Number of years=2 years

Let plug in the formula

A=$80,000(1+12÷100)^2

A=$80,000(1+0.12)^2

A=$80,000(1.12)^2

A=$80,000(1.2544)

A=$100,352

Inconclusion the amount that the man have in his bank at the second year is $100,352.

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Answer:

It is - 4 ≤ x ≤ 0

Step-by-step explanation:

Answer:

g(4) = 12

g(-5) = 48

Step-by-step explanation:

I will assume that you meant g(x)=x^2 - 3x + 8,

A)  To find g(4), substitute 4 for each instance of 'x' in this function:

g(4) = (4)^2 - 3(4) + 8, or

g(4) = 16 - 12 + 8, or

g(4) = 12

Similarly, g(-5) = (-5)^2 - 3(-5) + 8 = 25 + 15 + 8 = 48

g(-5) = 48

Answer:

A) 12

B) 18

Step-by-step explanation:

A) 4^2 - 3(4) + 8

16 - 12 + 8 = 12

B) -5^2 - 3(-5) + 8

25 + 15 + 8 = 48

Answer: HEre finnaly this is right..

Part A: When the marine biologist concluded her study, the length of the fish was approximately 6.86 cm. What is a reasonable domain to plot the growth function?

0≤x≤8

Part B: What does the y-intercept of the graph of the function f(m) represent?

the length at the start of the study

Part C: What is the average rate of change of the function f(m) from m = 3 to m = 7, and what does it represent?

6.86−5.047−3=1.82

it represents the average growth in length of the fish from the 3rd month to the 7th month of the study

Step-by-step explanation:

Answer:

3 inches

Step-by-step explanation: An equilateral triangle means all 3 sides are the same length.

A square also have the same length for all 4 sides.

So each side of the square is 6cm, to find the perimeter you do 6*4=24.

then divide the square's perimeter by 3 since triangle have 3 sides. 24/3=8

so each side of the triangle will be 8cm

Answer:

1) b = 60°

2) a = 90°, b = 90°

Step-by-step explanation:

1) Angles on a straight line add to 180° so 180 - 120 is 60°

2) The two lines are perpendicular (meet at right angles) so both angles are 90°

Hope this helps!

Step-by-step explanation:

slope intercept form y=mx+b

you just need to move the letters and numbers around to match this.

-4x-3y=-18

add 4x to both sides of the equal sign

-3y =4x-18

divide by negative 3 on both sides

y = -4/3x + 6

21. -2x+3y=21

add 2x to both sides

3y = 2x + 21

divide by 3 on both sides

y = 2/3x +7

Answer:

s/5=b

Step-by-step explanation:

The required expression is n/5 = b

One mathematical expression makes up a term. It might be a single variable (a letter), a single number (positive or negative), or a number of variables multiplied but never added or subtracted. Variables in certain words have a number in front of them. A coefficient is the number used before a phrase.

Given:

We have the variable b to represent the unknown quantity.

The expression,

the number of soda bottles split 5 ways.

That means,

Let n be the number of soda bottles.

So,

using division operation,

n / 5 = b

Therefore, the expression is n/5 = b.

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Answer:

£9500 + £25000 + £13250 + £12750 + £29500 + £11000 = £101000

£101000 divided by 6 = £16833.33333

rounded to 2dp. = £16833.33

Answer: 5 yards will be left over.

Step-by-step explanation:

8 * 7 = 56

so then you would minus 56 from 61 which equals 5.  Sorry if that's a weird way to get it but...

Answer:

9

Step-by-step explanation:

I've attached a picture, and I hope it's clear and understandable.

Answer: k=9

Step-by-step explanation:

Parallel lines have the same slope. y=mx+b, where m is the slope. The reference line, y = 6x-5 has a slope of 6. The new line must therefore also have a slope of 6. The slope is the Rise/Run, the change in y for a change in x.

The two points on the new line are (10,2k) and (13,4k). Rise over run for this new line is (4k-2k)/(13-10) or 2k/3. This must be equal to 6,

2k/3 = 6

2k = 18

k = 9

[tex]\bold{Hello~!}[/tex]

What is [tex]^5^/^4[/tex] ÷ [tex]^1^/^1^0~^?[/tex]

[tex]^5^/^4[/tex] ÷ [tex]^1^/^1^0~^?[/tex]

[tex]\sf{Divide~the~numbers:}~5[/tex] ÷ [tex]\sf{4 = 1.25[/tex]

[tex]\sf{= 1.25}[/tex] ÷ [tex]\sf{~1}[/tex] ÷ [tex]\sf{10}[/tex]

[tex]\sf{Divide~the~numbers:}~1.25[/tex] ÷ [tex]\sf{~1}[/tex] [tex]\sf{ = 1.25}[/tex]

[tex]\sf{= 1.25}[/tex] ÷ [tex]\sf{10}[/tex]

[tex]\sf{Divide~the~numbers:~1.25[/tex] ÷ [tex]\sf{10}[/tex] [tex]\sf{= 0.125}[/tex]

[tex]\sf{ 0.125}[/tex]

Hope It Helps!

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[tex]\underline{Answer~:}[/tex]

[tex]\sf{Miwsow}[/tex]

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Answer:

Second and fourth pairs of rectangle are similar.

Answer:

c

Step-by-step explanation:

Step-by-step explanation:

I got 98.1, not sure how she got her answer

Answer:

5

Step-by-step explanation:

a) Se simplifica la b) Se simplifica

potencia, en este la potencia, en

caso 5 este caso 4.

Step-by-step explanation:

Espero que te sirva

Answer:

99

Explanation:

The largest 2-digit number is 99 as the next number is 100 which is a 3-digit number

Answer:

we know that

case a) alternate exterior angles

m∠2=m∠7 --------> by alternate exterior angles

m∠1=m∠8 --------> by alternate exterior angles

case b) alternate interior angles

m∠3=m∠6 --------> by alternate interior angles

m∠5=m∠4 --------> by alternate interior angles

case c) corresponding angles

m∠1=m∠5 --------> by corresponding angles

m∠3=m∠7 --------> by corresponding angles

m∠2=m∠6 --------> by corresponding angles

m∠4=m∠8 --------> by corresponding angles

case d) vertical angles

m∠1=m∠4 --------> by vertical angles

m∠2=m∠3 --------> by vertical angles

m∠5=m∠8 --------> by vertical angles

m∠6=m∠7 --------> by vertical angles

therefore

the answer in the attached figurewe know that

case a) alternate exterior angles

m∠2=m∠7 --------> by alternate exterior angles

m∠1=m∠8 --------> by alternate exterior angles

case b) alternate interior angles

m∠3=m∠6 --------> by alternate interior angles

m∠5=m∠4 --------> by alternate interior angles

case c) corresponding angles

m∠1=m∠5 --------> by corresponding angles

m∠3=m∠7 --------> by corresponding angles

m∠2=m∠6 --------> by corresponding angles

m∠4=m∠8 --------> by corresponding angles

case d) vertical angles

m∠1=m∠4 --------> by vertical angles

m∠2=m∠3 --------> by vertical angles

m∠5=m∠8 --------> by vertical angles

m∠6=m∠7 --------> by vertical angles

therefore

the answer in the attached figure

Step-by-step explanation:

THIS IS NOT MY ANSWER

Congruent angles are angles with equal measures

Angles between parallel lines and transversals are congruent by any of the following relationships

Using the above angle relationships, the classifications of the angles are:

Alternate exterior angles

m∠2=m∠7

m∠1=m∠8

Alternate interior angles

m∠3=m∠6

m∠5=m∠4

Corresponding angles

m∠1=m∠5

m∠3=m∠7

m∠2=m∠6

m∠4=m∠8

Vertical angles

m∠1=m∠4

m∠2=m∠3

m∠5=m∠8

m∠6=m∠7

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Answer:

Hello there! I think the answer to your question

C

Because a "A positive voltage is a  voltage that pushes electrons out of a battery."

Answer:

should be, must be, gotta be it

Step-by-step explanation:

13² = 7² + x²

169 = 49 + x

x² = 169 - 49

x² = 120

x = [tex]\sqrt{120}[/tex] (do this stpd calculus)

x = 2[tex]\sqrt{30}[/tex]

________

[tex] \: [/tex]

x² = 13² - 7²

x² = 169 - 149

x² = 120

x = √120

x ≈ 2√30m

Answer:

-3.2

Step-by-step explanation:

Answer:

[tex]11 \div 3 \times 15 \\ 11 \div 1 \times 5 \\ 11 \times 5 \\ = 55[/tex]

Answer:

the value of x is 1......

as we know B is the midpoint....

then,

5x-7=3x-5

5x-3x=-5+7

2x=2

x=2/2

x=1

Answer:

136.8

Step-by-step explanation:

As per DMAS rule, we can divide first or multiply first. I would choose divide first. Then:

4.56 x 3.6/0.12

= 4.56 x 30.

Since I divided first, the next step is to multiply.

4.56 x 30

= 136.8

Since there is no addition or subtraction happening next, the process ends here and the answer is 136.8.

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The expression value  [tex]4.56 \times \frac{ 3.6}{0.12}[/tex] in standard form is 136.8=1.368×10².

To evaluate the expression [tex]4.56 \times \frac{ 3.6}{0.12}.[/tex]

Find the multiplication of the numerator with 4.56 and then divide it by 0.12.

Perform the multiplication first:

4.56×3.6 = 16.416

Now we divide the result by 0.12:

[tex]\frac{16.416}{0.12} = 136.8[/tex]

To express the answer in standard form, we rewrite it as a number multiplied by a power of 10.

In this case, we move the decimal point two places to the right to obtain a whole number:

136.8=1.368×10²

Therefore, the answer to the expression  [tex]4.56 \times \frac{ 3.6}{0.12}[/tex] in standard form is 136.8=1.368×10²

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Answer:

x = [tex]\sqrt{3}[/tex]

Step-by-step explanation:

the ratio of side to hypotenuse in a right triangle is 1 : [tex]\sqrt{2}[/tex]

in this problem we can use 'x' in place of 1 and [tex]\sqrt{6}[/tex] in place of [tex]\sqrt{2}[/tex] to create a proportion like this:

1/x = [tex]\sqrt{2}[/tex]/[tex]\sqrt{6}[/tex]

cross-multiply to get:

[tex]\sqrt{2}[/tex]·x = [tex]\sqrt{6}[/tex]

x = [tex]\frac{\sqrt{6}}{\sqrt{2}}[/tex]

x = [tex]\sqrt{3}[/tex]