write an equivalent expression using exponents “abaab”

Answer: 15.44 m

Step-by-step explanation:

We can think this as two triangle rectangles.

In both cases, the adjacent cathetus is 120m.

When the angle is 32°, the opposite cathetus will be the height of the cliff.

When the angle is 37°, the opposite cathetus will be the heigth of the cliff plus the height of the flagpole.

Then we need to compute both of them and calculate the difference.

We can use the trigonometric relation:

Tan(θ) = (opposite cathetus)/(adjacent cathetus)

in this case we have:

Tan(32°) = (height of the cliff)/(120m)

Tan(32°)*120m = height of the cliff = 74.98m

Now we can use the other angle to compute:

Tan(37°) = (heigth of the cliff + heigth of the flagpole)/120m

Tan(37°)*120m = heigth of the cliff + heigth of the flagpole = 90.42m

Then the height of the flagpole will be:

H = 90.42m - 74.98m = 15.44 m

Answer:

16)

Bobby - 70

Hannah - 90 (Wins the round)

Carlos - 80

17)

Bobby - 7  (Wins the round)

Hannah - 3

Carlos - 5

Step-by-step explanation:

First we can make the variable n into each of the values they chose for the equations. Let's start with 16.

The equation is - (3+7) X (10 - n ÷2)

Now let's input the numbers 6 , 2, and 4 one at a time to figure out the answer.

USE PEMDAS!!!

16)

Bobby -

1. (3+7) X (10 - 6 ÷2)

2. 10 X (10 - 6 ÷ 2)

3. 10 X 7

4.  Answer for Bobby - 70

Hannah -

1.  (3+7) X (10 - 2 ÷2)

2. 10 X (10- 2 ÷2)

3. 10 X 9

4. Answer for Hannah - 90 (Wins the round)

Carlos -

1. (3+7) X (10 - 4 ÷2)

2. 10 X (10 - 4 ÷ 2)

3. 10 X 8

4. Answer for Carlos - 80

17)

Bobby -

1. (2 X 6 + 2) ÷ 2

2. (12 + 2) ÷ 2

3. 14 ÷ 2

4. Answer for Bobby - 7 (Wins the round)

Hannah -

1.  (2 X 2 + 2) ÷ 2

2. (4+2) ÷ 2

3. 6 ÷ 2

4. Answer for Hannah - 3

Carlos -

1. (2 X 4 + 2) ÷ 2

2. (8+2) ÷ 2

3. 10 ÷ 2

4. Answer for Carlos - 5

Hope this Helps!!! :)

Let me know if I should change anything or if the answer was perfect!!!

Answer:

Add up all the sides.

Step-by-step explanation:

Add up all the sides.

Add up all the sides of the triangle that is the perimeter.

Hope this helps plz hit the crown :D

ANSWER: D

30.16=17.56+5x

30.16-17.56=5x

12.6=5x

x=12.6/5

x=2.52

HOPE IT HELPS YOU OUT PLEASE MARK IT AS BRAINLIEST AND FOLLOW ME PROMISE YOU TO FOLLOW BACK ON BRAINLY.IN

Answer:

camilla needs 4 scoops of flow because 3 is related to 15 bc "5x3=15" and that gives us to only need 1 more cup to get 20 cookies

Answer: n = 267

Step-by-step explanation: Margin of Error shows the percentage that will differ the result you get from the real population value or, in other words, is the range of values in a confidence interval.

It can be calculated as

margin of error = [tex]z\frac{s}{\sqrt{n} }[/tex]

in which

z is z-score related to the confidence interval, which is this case is 1.96;

s is standard deviation;

n is the number in a sample;

So, the number of mice must be:

margin of error = [tex]z\frac{s}{\sqrt{n} }[/tex]

[tex]0.6=1.96\frac{5}{\sqrt{n} }[/tex]

[tex]\sqrt{n}=\frac{1.96*5}{0.6}[/tex]

[tex]\sqrt{n}=16.33[/tex]

n = 267

For the margin of error with 95% confidence interval be 0.6, it is needed 267 mice.

The total number of mice must be weighed so that a 95% confidence interval will have a margin of error of 0.6 grams is 267 and this can be determined by using the formula of margin of error.

Given :

The formula of margin of error can be used in order to determine the total number of mice. The formula of margin of error is given by:

[tex]\rm MOE = z\dfrac{s}{\sqrt{n} }[/tex]

where z is the z-score, s is the standard deviation, and n is the sample size.

Now, substitute the known values in the above formula.

[tex]\rm 0.6 = 1.96\times \dfrac{5}{\sqrt{n} }[/tex]

Simplify the above expression in order to determine the value of 'n'.

[tex]\rm n =\left(\dfrac{1.96\times 5}{0.6}\right)^2[/tex]

n = 267

Therefore, the total number of mice must be weighed so that a 95% confidence interval will have a margin of error of 0.6 grams is 267.

For more information, refer to the link given below:

https://brainly.com/question/20982963

Answer:

.00963

Step-by-step explanation:

Since its 10^-3, the decimal point moves to the left 3 times. hope this helped :)

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Answer:

1.) A

2.) D

Step-by-step explanation:

Answer:

1. 3/4

2.-3/2

Step-by-step explanation:

For the first problem, distribute the 2(6-2x) and 2(5+x) to simplify the equation.    This means, multiply what's inside the parentheses by 2. The simplified version of the equation is: 12-4x-2x=10+2x-4.

Once you have distributed, then combine like terms and solve for x.

You do the same thing for the second problem.

Answer:

38°

Step-by-step explanation:

[tex]m\angle 4 = 180° - [62\degree + (62\degree + 18\degree)] \\\\

m\angle 4 = 180\degree - [62\degree + 80\degree] \\\\

m\angle 4 = 180\degree -142\degree \\\\

m\angle 4 = 38\degree \\\\

[/tex]

Answer:

558.7805

Step-by-step explanation:

The ladder would be 12.4 feet hope that helps

Answer:

$850

Step-by-step explanation:

35 x 20 = 700 + 150 = $850 or 850

$20 per person and 35 people = $700 + the $150 fee = $850

Answer:

not equal to

are not

Step-by-step explanation:

guessed on plato and got it right. Thank You!!!!

Answer:

The correct answers are:

Not equal to

Are not

Step-by-step explanation:

I got it right on the Edmentum test.

Answer:

6 + 21r

Step-by-step explanation:

3 ( 2 + 7r )

3 ( 2 ) = 6

3 ( 7r ) = 21r

6 + 21r

Hope this helps dude ^-^

Answer: 6 + 21r

Step-by-step explanation:

distribute the 3 to each thing in the parentheses

so 3(2 + 7r) becomes

3(2) + 3(7r)

6 + 21r

Answer:

49

Step-by-step explanation:

Answer:

14

Step-by-step explanation:

If each cupcake needs 1/2 cup of sugar, you need to divide the total cups of sugar by 1/2.

7 1/3 ÷ 1/2= 14.6

You cant have .6 of a cupcake, therefore she can make 14 cupcakes.

Answer:

3 dogs and 5 cats were adopted out on Christmas eve.

Step-by-step explanation:

Let the number of dogs adopted out on Christmas eve be x and the number of cats be y.

From the question,

On Christmas Eve, the animal adopted out 8 total animals

That is, x + y = 8 ...... (1)

and brought in $400 in total adoption fees.

Also from the question,

Each dog adoption fee was $75 and each cat adoption fee was $35.

∴ On Christmas Eve,

75x + 35y = 400 ...... (2)

Now, to determine how many dogs and how many cats were adopted out on Christmas Eve, we will solve the two equations simultaneously.

From equation (1)

x + y = 8

Make x the subject of the relation.

∴ x = 8 - y ...... (3)

Substitute the value of x into equation (2)

75(8 - y) + 35y = 400

600 - 75y + 35y = 400

600 -40y = 400

600 - 400 = 40y

200 = 40y

∴ 40y = 200

y = 200/40

y = 5

Substitute the value of y into equation (3)

x = 8 - y

x = 8 - 5

x = 3

∴ x = 3 and y = 5

Hence, 3 dogs and 5 cats were adopted out on Christmas eve.

Answer:

[tex]\displaystyle \frac{14}{3}\sqrt{5}[/tex]

Step-by-step explanation:

Simplify:

[tex]\displaystyle \sqrt{80} + \sqrt{2\frac{2}{9}}[/tex]

We must express the mixed fraction into an improper fraction:

[tex]2\frac{2}{9}=2+\frac{2}{9}=\frac{20}{9}[/tex]

[tex]\displaystyle \sqrt{80} + \sqrt{2\frac{2}{9}}=\displaystyle \sqrt{80} + \sqrt{\frac{20}{9}}[/tex]

Since 80 = 16*5 and 20=4*5

[tex]\displaystyle \sqrt{80} + \sqrt{2\frac{2}{9}}=\displaystyle \sqrt{16*5} + \sqrt{\frac{4*5}{9}}[/tex]

[tex]\displaystyle \sqrt{80} + \sqrt{2\frac{2}{9}}=\displaystyle 4\sqrt{5} + \frac{2}{3}\sqrt{5}[/tex]

Adding the fractions:

[tex]\displaystyle \sqrt{80} + \sqrt{2\frac{2}{9}}=\displaystyle (4 + \frac{2}{3})\sqrt{5}[/tex]

[tex]\mathbf{\displaystyle \sqrt{80} + \sqrt{2\frac{2}{9}}=\displaystyle \frac{14}{3}\sqrt{5}}[/tex]

Given:

[tex]d(t)=80t[/tex]

[tex]C(d)=0.09d[/tex]

To find:

The value of [tex]C(d(10))[/tex].

Solution:

We have,

[tex]C(d(10))=C(80(10))[/tex]           [tex][\because d(t)=80t][/tex]

[tex]C(d(10))=C(800)[/tex]

Now,

[tex]C(d(10))=0.09(800)[/tex]           [tex][\because C(d)=0.09d][/tex]

[tex]C(d(10))=72[/tex]

Therefore, the value of [tex]C(d(10))[/tex] is 72.

Final Answer: [tex](x + 7)(x + 8)[/tex]

Steps/Reasons/Explanation:

Question/Given: Factor the polynomials [tex]x^{2} + 15x + 56[/tex]

Step 1: Ask: Which two numbers add up to [tex]15[/tex] and multiply to [tex]56[/tex]?

[tex]7[/tex] and [tex]8[/tex]

Step 2: Rewrite the expression using Step 1.

[tex](x + 7)(x + 8)[/tex]

~I hope I helped you :)~

Answer:

4.2

Step-by-step explanation:

Ok the points are (-1, 2) and (1, -2)

Put it in the formula

d = [tex]\sqrt{(1 - -1)^2 + (-2 - 2)^2} \\\sqrt{(2)^2 + (-4)^2} \\\sqrt{2 + 16} \\\sqrt{18} \\[/tex]

√18 = 4.2426 ≈ 4.2

Hope this helps ya!!

Answer:

hekp

Step-by-step explanation:

Answer: 6896.8

Step-by-step explanation: multiply the number by 100 first, then multiply that number by 16!

Answer:

48

Step-by-step explanation:

2 + 2 is 4, 1 - 4 is -3, 3 - 4 is -1 and +4 is 4 if you multiply these together, you will get 48.

Answer:

= 41

Step-by-step explanation:

plug in the numbers for the variables

5(4) + 7(3)

multiply

20 + 21

add together

= 41

Answer:

127≠4

False

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

hope this helps!!! have a nice day

Answer:

Step-by-step explanation:

[tex]\frac{y2-y1}{x2-x1}[/tex]

[tex]\frac{0-2}{2-(-2)}[/tex]

[tex]\frac{-2}{4}[/tex]

[tex]\frac{-1}{2}[/tex]

Answer:

A

Step-by-step explanation:

Answer: a is the answer

Step-by-step explanation: