1). How can patterns help you simplify numbers involving positive exponents including simplifying algebraic expressions ? Explain.
2). explain exactly how using approximation or estimate can help to order, compare, and locate rational and irrational numbers on a number line?
3). explain exactly how using approximation or estimate can help to order, and compare rational and irrational numbers when using inequality symbols like <, >, ≤, ≥, and ≠

Answer: D) 48.75

Step-by-step explanation:

Hi, to answer this question we have to apply the next formula:

Area of a rectangle: length x width

Replacing with the values given and solving for A (area)

A= 7.5 ft x 6.5 ft =48.75 ft2

The area of the garden in square feet is 48.75. (option D).

Feel free to ask for more if needed or if you did not understand something.  

Answer:

y = 3[tex]\sqrt{2}[/tex] + 4

Step-by-step explanation:

Create 2 equations using values from the table to find a and b.

Using (0, 10), then

10 = acos0° + b ( cos0° = 1 ), thus

a + b = 10 → (1)

Using (90, 4), then

4 = acos90° + b ( cos90° = 0 ), thus

b = 4

Substitute b = 4 into (1)

a + 4 = 10 ( subtract 4 from both sides )

a = 6

Thus

y = 6cosx° + 4

When x = 45°, then

y = 6cos45° + 4 = 6 × [tex]\frac{\sqrt{2} }{2}[/tex] + 4 = 3[tex]\sqrt{2}[/tex] + 4

Answer:

y = 3\sqrt{2} + 4

Step-by-step explanation:

oh sorry didn´t see that it was answered ;(

Answer:

h(x) = 10 [tex](0.4)^{x}[/tex]

Step-by-step explanation:

The exponential is of the form

h(x) = a [tex](b)^{x}[/tex]

Use the ordered pairs from the table to find a and b

Using (0, 10 ), then

10 = a [tex]b^{0}[/tex] ( [tex]b^{0}[/tex] - 1 ), thus

a = 10

h(x) = 10 [tex]b^{x}[/tex]

Using (1, 4 ), then

4 = 10 [tex]b^{1}[/tex] , hence

b = [tex]\frac{4}{10}[/tex] = 0.4

h(x) = 10 [tex](0.4)^{x}[/tex]

Answer:

B

Step-by-step explanation:

45x=140-5

x=135:45

x=3

(B)

Answer:

Step-by-step explanation:

 45x + 5 = 140  find x

 45x + 5 = 140

45x = 140 - 5

45x = 135

x = 135/45

x = 3

Answer:

Equation: 2200 + (29 × 90) = 2610 + 2200

= 4,810

Answer:

Use the formula A = p x e^(rate x year), we have:

A = 800 x 2.71828^[(13/100) x 1] = 991.06 = ~911.1 dollar

Hope this helps!

:)

Answer:

b

Step-by-step explanation:

you do

[tex]75^2 + 2 \times 75 \times \sqrt{75^2 \div 4 + 90^2 = 20250[/tex]

Answer:

21 cm

Step-by-step explanation:

Since this is an isosceles triangle, the two sides with a line through them must have the same value of x. Therefore, you can set up the following equation:

2x+11=53

2x=42

x=21 cm

Hope this helps!

Answer:

21

Step-by-step explanation:

53 - 11 = 42

42/2 = 21

~ Please mark me as brainliest :)

Answer:

[tex]16.76[/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

Answer:

A

Step-by-step explanation:

Equation of the dotted line:

Slope: (-2-1)/(-2-0) = -3/-2 = 3/2

y = (3/2)x + 1

Region lies below the line, and the line is dotted:

y < (3/2)x + 1

Answer:

the factor for x^2 + 5x - 24 is

(x + 8)

Step-by-step explanation:

Answer: 29/5

Step-by-step explanation:

[3(x-1)]/24 = (x-4)/3

(x-1)/8 = (x-4)/3

3(x-1) = 8(x-4)

3x-3 = 8x -32

3x - 8x = -32 +3

-5x = -29

x = 29/5

Answer:

X=29\5

Step-by-step explanation:

(3X-3):24=(8x-32):24

=)3x-3=8x -32

=)3x=8x-32+3

=)3x=8x-29

=)8x-3x=29

=)5x=29

=)x=29\5

Answer:

a. 14 b. -2

Step-by-step explanation:

a. 10=2x-18

28=2x ; x=14

b. 3x+12=2x+6+4

3x+12=2x+10

x=-2

Answer:

Probability for flipping a coin twice and getting heads: 1/2

Probability for flipping a coin twice and getting tails: 1/2

Probability for getting heads AND tails: 0

Probability for getting heads or tails: 1/2

Step-by-step explanation:

Probability is how likely something happens. Since there is only 2 options, the probability for getting one of them would be 1/2 and getting both of them 0, because you can only get one of them. Probability for getting heads or tails would be the same. I'm not sure what your question was, so I did all possible answers. Hope this helps!

Answer: -4

Step-by-step explanation:

negatives are basically just 1-2-3

Answer:

-4

Step-by-step explanation:

1+(-2)=-1

-1+(-3)=-4

so the simplified is -4

Answer:

Hamburger patty is 5.67 per ounce and the fish is 5.33 per ounce

Step-by-step explanation:

The hamburger patty has approximately 5.7 grams of protein per ounce and the fish has approximately 5.3 grams of protein per ounce.

Fraction number consists of two parts one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.

We have:

[tex]4\frac{1}{2}[/tex] ounce hamburger patty has [tex]25\frac{1}{2}[/tex] grams of protein

[tex]4\frac{1}{2}[/tex]  = 9/2

[tex]25\frac{1}{2}[/tex] = 51/2

Let's suppose each hamburger patty has x grams of protein so the value of x:

[tex]\rm x = \frac{\frac{51}{2}}{\frac{9}{2} }[/tex]

x = (51/2)×(2/9)

x = 5.66 ≈ 5.7 grams of protein

For fish Let's suppose each fish has y grams of protein so the value of y:

[tex]\rm y =\frac{32}{6}[/tex]

y = 5.3 grams of protein

Thus, the hamburger patty has approximately 5.7 grams of protein per ounce and the fish has approximately 5.3 grams of protein per ounce.

Learn more about the fraction here:

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Answer:

0.05 refers to the actual thickness of the sheet

Answer:

0.05 represents the amount of thickness the paper already had before you started the expriment. Hope this helps and go check out Quelenas'sboutique on Etsy.

Step-by-step explanation:

Answer:

no mode

Step-by-step explanation:

the mode is the number that occurs the most. There is non in this case.

hope this helps :)

Answer:

no mode

Step-by-step explanation:

the mode is the number that occurs the most. There is none in this case.

Answer:

1/216 or 1/6

Step-by-step explanation:

1/6 times 1/6 times 1/6

Answer:

average of siblings with that height and weight

Step-by-step explanation:

Answer:

Average of siblings with that height and weight. Did the activity and got it right.

Answer:11

Step-by-step explanation: Again, you have to write the expression. In this case, it would be 3.14x(9.3x9.3)xY=3000.  If you simplify, it would be 3.14x86.49xY=3000. You would than multiply 3.14 and 86.49, and it would be about 271. Then, you divide 3000 with 271, and it would be about 11 if you round to the nearest whole number  

Answer:

6^7

Step-by-step explanation:

6^3  * 6^4

We know that a^b*a^c = a^(b+c)

6^(3+4)

6^7

Answer:

6^3 x 6^4 = 279936

Hope this helped!

Answer:

I know that 3/4 is 75%, and I also know that 3 times 16 is 48. Since I divide 48 by 4, it is the same as multiplying 4 by 3, knowing that it is 25% of 16.

Step-by-step explanation:

Since 3/4 is a fraction, all fractions can be converted into decimals.

3/4 is also known as 75%, which can be simplified into 0.75 in decimal terms.

Now that you know that 3/4 can be simplified to 0.75, you now need to take that 0.75, and multiply it by 16. You can use a calculator to do this, or you could work it out on a sheet of paper.

An easy way to do this, is to know that 25%, (0.25) of 16 is 4. This is because 4 times 4 is 16. Knowing this, if you are looking for 75% of 16, (0.75) you can multiply 4 by 3, knowing that it is 75% of 16.

The answer to that is 12.

3 x 16 = 48 and if you take 48 and divide it by 4, you will get 12.

You can explain this by writing; I know that 3/4 is 75%, and I also know that 3 times 16 is 48. Since I divide 48 by 4, it is the same as multiplying 4 by 3, knowing that it is 25% of 16.

We have been given two similar triangles. We are asked to find the length of segment EF.

We know that corresponding sides of similar triangles are proportional, so we will use proportion to solve our given problem.

[tex]\frac{EF}{DF}=\frac{BC}{AC}[/tex]

Upon substituting measure of our given side lengths, we will get:

[tex]\frac{EF}{1}=\frac{5}{13}[/tex]

[tex]EF=\frac{5}{13}[/tex]

Therefore, the length of segment EF is [tex]\frac{5}{13}[/tex] units.

Answer:

25/4

Step-by-step explanation:

68x=425

x=6.25

25/4=6.25

So the right answer is 972 pie units^3.

look at the attached picture

Hope it will help you

Good luck on your assignment

Answer:

[tex]972\pi {units}^{3} [/tex]

First answer is correct.

Step-by-step explanation:

[tex]v = \frac{4}{3} \times \pi {r}^{3} \\ v = \frac{4}{3} \times \pi \times {9}^{3} \\ v = \frac{4}{3} \times \pi \times 729 \\ v = \frac{2916\pi}{3} \\ v = 972\pi {units}^{3} [/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

Answer:

company b 10,080 dollars

Step-by-step explanation:

23  number of uniforms that will result in equal costs at both companies.

Two or more expressions with an Equal sign is called as Equation.

Given that there are 25 students in the school's Pep Club.

The Pep Club can buy new uniforms from 2 different suppliers:

Company A charges $500, plus $22 per uniform.

Company B charges $360, plus $28 per uniform.

500+22x=360+28x

Subtract 360 on both sides

500+22x-360=28x

140+22x=28x

Subtract 22x on both sides

140=6x

Divide both sides by 6

x=23.3

The number of uniforms that will result in equal costs at both companies is 23.

The company A charges more than company B.

company B should the Pep Club choose

Hence, 23  number of uniforms that will result in equal costs at both companies.

To learn more on Equation:

https://brainly.com/question/10413253

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Step-by-step explanation:

(example)

Think of it this way:

If joe caught 1 fish only

and bonita caught four more than joe

that means that she caught 5 fish in total.

(for the question)

This means that Bonita caught four more fish than Joe.

j + 4 = bonita

j = joe