Simplify the following expression completely
(5x4+5x3-17x2+6x)-(3x4+6x3-7x2-12)/x+2



Please show your work

Answer:

49

Step-by-step explanation:

6238 -6287

=49

hope love you

Answer:

102.00

Step-by-step explanation:

If you want to leave a 20% tip, multiply the cost by 0.20 to get the tip amount or multiply the cost by 1.20 to get the total including tip. If you want to leave a 18% tip, multiply the cost by 0.18 to get the tip amount or multiply the cost by 1.18 to get the total including tip.

Answer: Mr. Smith should tip $17

Step-by-step explanation:

20% = 0.2

$85 × 0.2 = $17

Answer:

64.428

Step-by-step explanation:

well to find the mean we add all of the numbers up and then divide it by the amount of numbers in the sequence

so if we add all of the numbers up it will give us

451

then if we divide that by the number of numbers in the sequence which is 7 then that will leave us with

around 65 or exactly it would be

64.428

Answer:

b = 3

Step-by-step explanation:

[tex]a^2+b^2=c^2[/tex]

[tex]12^2+b=15^2[/tex]

[tex]15^2 - 12^2 = 3[/tex]

[tex]b = 3^2[/tex]

hope this helps :)

Answer:

the answer is b=3

hope this helped bye

Answer:

108pi

Step-by-step explanation:

We do not need to know the height and radius, as the formula for the volume of a cone is just a third of the volume of a cylinder. So we have 36pi * 3 or 108pi.

Answer:

1 hour = 7.50

5 hours = 37.50

9 hours = 67.50

7.50 per hour.

97.50 = 13 hours

Step-by-step explanation:

like this

[tex] \frac{22.50}{3} [/tex]

or

[tex] \frac{52.50}{7} [/tex]

= 7.50/1 hour

hope it helps you ☺️

Answer:

1. 7.50

5. 37.50

9. 67.50

Unit rate- 15$ an hour.

She worked 11 hours.

Hope these answers are right and hope they help.

Answer:

no statement

Step-by-step explanation:

List the statements pls

Given:

The sequence is -8, -12, -16.

To find:

The nth and 52th term  of the given sequence.

Solution:

We have,

-8, -12, -16

It is an AP because the difference between consecutive terms are equal. Here, first term is -8 and the common difference is

[tex]r=a_2-a_1[/tex]

[tex]r=-12-(-8)[/tex]

[tex]r=-12+8[/tex]

[tex]r=-4[/tex]

The nth term of an AP is

[tex]a_n=a+(n-1)d[/tex]

Where, a is first term and d is common difference.

Putting a=-8 and d=-4, we get

[tex]a_n=-8+(n-1)(-4)[/tex]

[tex]a_n=-8-4n+4[/tex]

[tex]a_n=-4-4n[/tex]

Putting n=52, we get

[tex]a_{52}=-4-4(52)[/tex]

[tex]a_{52}=-4-208[/tex]

[tex]a_{52}=-212[/tex]

Therefore, the equation for the nth term of the given sequence is [tex]a_n=-4-4n[/tex] and the 52nd term of the sequence is -212.

Answer:

Option 2

Step-by-step explanation:

Answer:

Graph 2

Step-by-step explanation:

exponential growth means that the line is increasing

hope it's helpful ❤❤❤❤❤

THANK YOU.

Answer:

6. is b

Step-by-step explanation:

Length of Simon's tent = 6 feet

Distance from the bottom of the tent to the tent's base = 8 feet

Let the length of rope be R.

The tent and the rope forms a right angle triangle where the rope is the hypotenuse.

We know that :

[tex]\color{hotpink} \tt{hypotenuse}^{2} \color{plum}= {base}^{2} + {height}^{2} [/tex]

Which means :

[tex] = \tt {R}^{2} = {6}^{2} + {8}^{2} [/tex]

[tex] =\tt {R}^{2} = 36 + 64[/tex]

[tex] = \tt {R}^{2} = 100[/tex]

[tex] =\tt R = \sqrt{100} [/tex]

[tex]\hookrightarrow\color{plum}\tt \bold{R = 10 \: feet}[/tex]

Thus, the hypotenuse of this triangle = 10 feet

▪︎Therefore, the length of the rope = 10 feet

Answer:

This expression is a polynomial. The largest exponent is 2, therefore, it is in the quadratic degree. It is a binomial because it has two parts: 3y² and -2.

Given:

The ratios are  [tex]\dfrac{30}{75}[/tex] and [tex]\dfrac{24}{60}[/tex].

To find:

Whether the ratios form a proportion or not.

Solution:

If two ratios represent the same relationship then they form a proportion.

We have,

[tex]\dfrac{30}{75}[/tex] and [tex]\dfrac{24}{60}[/tex]

Write the given ratios in the simplified forms.

[tex]\dfrac{30}{75}=\dfrac{15\times 2}{15\times 5}[/tex]

[tex]\dfrac{30}{75}=\dfrac{2}{5}[/tex]

And,

[tex]\dfrac{24}{60}=\dfrac{12\times 2}{12\times 5}[/tex]

[tex]\dfrac{24}{60}=\dfrac{2}{5}[/tex]

Since [tex]\dfrac{30}{75}=\dfrac{24}{60}=\dfrac{2}{5}[/tex], therefore the ratios form a proportion.

Answer:

3x48+48 = 192

3x48= 144

144+48= 192

There has been sold 12 items of f and 36 items of e in the system.

A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.

We are Given the system of equation:

(1) e + f = 48

(2) e = 3f

Then Substituting e=3f into e + f=48:

3f + f = 48

Adding similar terms:

4f = 48

Dividing both sides by 4:

f = 48/4

Simplifying:

f = 12

Replacing;

f=12 in e + f =48

e + 12 = 48

Now Subtracting -12 to both sides:

e = 48 - 12

e = 36

Thus There has been sold 12 items of f and 36 items of e.

Learn more about equations here;

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Answer:

5a + (-6a) + (-2b) + 2b + (-3) = -a -3 or -(a + 3) so first answer is correct because -(a + 3) is the same as -(3 + a)

Step-by-step explanation:

Answer:

A is your answer

Step-by-step explanation:

Answer:

Choose A (2nd answer)

Step-by-step explanation:

-15q[tex]\sqrt{x}[/tex]7q

Answer: 3

Step-by-step explanation:

Answer:

(-7,-9) and (7,9)

Step-by-step explanation:7,-9 so we do across the x so you need a graph for this now x goes left so we plot the coordinates in the third box 7,-9 is in the 4 box so after we plotted that you can see it reflects.Now y coordinate since the y line goes up we plot the coordinates on top of the 4 box where our original coordinates stay now it should be 7,9 the y becomes positive which is 9.

This is not a web answer i answered myself took me some time!

Answer:

15

Step-by-step explanation:

the square root of 225 is 15 there are steps

Answer:

√225=√15²=±15 is your answer

Answer:

12 Lanterns.

Step-by-step explanation:

To find how many they sold in one night, divide 106.56 by 8.88 and you get 12.

Answer:

8 batches

Step-by-step explanation:

A recipe for cookies calls for 2/3 of a cup of sugar. Elena used 5 1/3 cups of sugar to make multiple batches of cookies. How many batches did she make?

From the above question, 1 recipe = 1 batch of cookies

Hence:

2/3 cup of sugar = 1 batch of cookies

5 1/3 cups of sugar = x batches of cookies

Cross Multiply

2/3 cup × x batches = 5 1/3 cup × 1 batch

x batches = 5 1/3 cup × 1 batch/2/3 cup

x batches = 16/3 ÷ 2/3

x batches = 16/3 × 3/2

= 8 batches

Therefore she made 8 batches

Step-by-step explanation:

3x-4y=13

y=-3x-7

3x-4(-3x-7)=13

3x+12x+28=13

15x=-15

x= -1

y= -3x-7 = 3-7= -4

( -1, -4)

Answer:

Here's how to solve the problem

Step-by-step explanation:

50% of participants are in 6th grade.

100% - 50% = 50

0.3, when converted to percentage form is 30%

50% - 30% = 20%

This remaining 20% is how many participants, out of the whole, are in the 7th grade

20% = 0.2 = 2/10 = 20/100

Answer:

0.07 (7/100) is closer to 0.

1.150 (1150/1000) is closer to 1.

0.391 (391/1000) is closer to 1/2.

0.0999 (999/10,000) is closer to 0.

0.99 (99/100) is closer to 1.

0.599 (599/1000) is closer to 1/2.

Put everything as a fraction. The first spot after the decimal means you put the number over 10, the second place means you put it over 100, the third 1,000, fourth 10,000 and so on. Hope I helped! ^^Step-by-step explanation:

The closeness of the given function is found to be by writing it in the simplest form as 1.

A fraction is a number written in the form a / b, where a and b are integers and b ≠ 0.

The number a is called as the numerator and b is the denominator.

The given fraction is 15/20.

It can be simplified as below,

Divide numerator and denominator by the common factor 5 as,

(15 ÷ 5)/(20 ÷ 5)

⇒ 3/4

The given fraction 3/4 is greater than zero and closest to 1.

Hence, the given fraction is closest to integer 1.

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Answer:

If the rope is 20 ft long, then the maximum area the cow can graze is:

[tex]\pi \\[/tex]r^2 square feet.

[tex]\pi[/tex] is approximately 3.14, so that means we have: 3.14(20^2) = 1256 ft squared.

Thus, the maximum area that the cow can graze is 1256 ft squared.

Let me know if this helps!

The cow's maximum grazing area is 1256 ft squared. The grazing area is found as the area of the circle.

The space filled by a flat form or the surface of an item is known as the area.

The number of unit squares that cover the surface of a closed-form is the figure's area. Square centimeters and other similar units are used to measure area.

If the rope is 20 feet long, the cow can graze the following area:

A=πr²

A=3.14(20)²

A=1256 ft squared.

As a result, the cow's maximum grazing area is 1256 ft squared.

To learn more about the area, refer to the link;

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Answer:

6450

Step-by-step explanation:

Answer:

6450

Step-by-step explanation:

Multiply the value by 1000.

Answer:

1 rice cake has 23.761 calories

Step-by-step explanation:

18 rice cakes weigh a total of 130 g.

There are 329 calories in 100 g of rice cakes.

Step 1

We calculate the number of calories is 18 rice cakes

18 rice cakes = 130g

Hence,

100g = 329 calories

130g = x

Cross Multiply

100g × x = 130g × 329 calories

x = 130g × 329 calories/100g

x = 427.7 calories

Therefore, 18 rice cakes had 427.7 calories

Step 2

How many calories are there in one rice cake?

18 rice cakes = 427.7 calories

1 rice cake = x

Cross Multiply

18 × x = 1 × 427.7

x = 427.7/18

x = 23.761111111 calories

Approximately = 23.761 calories

Therefore, 1 rice cake has 23.761 calories