Serenity is moving and must rent a truck. There is an initial charge for the rental plus a fee per mile driven. The total cost of renting the truck can be modeled by the equation C=50+2.75m,C=50+2.75m, where mm is the number of miles driven. What is the yy-intercept of the equation and what is its interpretation in the context of the problem?

Answer:

1.48502 × 10²

Step-by-step explanation:

A number expressed in standard form is

a × [tex]10^{n}[/tex] ( 1 ≤ a < 10 and n is an integer )

Given

148.502 ← express as a number between 1 and 10

1.48502

To obtain the original number we require to multiply by 100 , that is 10²

Thus

148.502 = 1.48502 × 10²

Answer:

[tex]1.48502 \times {10}^{2} [/tex]

Step-by-step explanation:

To convert to standard form, move the decimal point until there is one digit to the left of the decimal point.

Since the decimal point moves to the left, the exponent value goes up. If the decimal point moves to the right, the exponent value gpes down.

In this case, since the decimal point moves to the left twice, then the exponent goes up by 2.

Hope this helps!

Answer: No -1 is not an irrational number.

Step-by-step explanation: The number 1 can be classified as a natural number, a whole number, a perfect square, a perfect cube, an integer. This is only possible because it is a rational number, not irrational.

Answer:

In this lesson, we'll be learning two new ways to represent arithmetic sequences: recursive formulas and explicit formulas. Formulas give us instructions on how to find any term of a sequence.

Step-by-step explanation:

Answer:

It was the withdrawal of the Union troops from the South.

Step-by-step explanation:

The South could go back to blatant mistreatment and practically slavery without the oversight of the Northern troops- so all of the progress that was made was for nothing. That was when Reconstruction ended.

Answer:

The answer is

[tex]y = \frac{1}{4} x + 3[/tex]

Step-by-step explanation:

Plug in and solve the equation. We are trying to find the y-intercept:

[tex]y= \frac{1}{4}x + b \\ 2 = \frac{1}{4} ( - 4) + b \\ 2 = - 1 + b \\ \frac{ + 1 = + 1 \: \: \: \: \: \: \: \: }{3 = b} [/tex]

We found the y-intercept, so now we plug it in it's right full spot in the formula.

[tex]y = \frac{1}{4} x + 3[/tex]

Answer:

Find the explanation below.

Step-by-step explanation:

Statements simply state the theorem that is to be proofed. Formal proof in logical sequence connects the hypotheses to the conclusion reached.

Statements and reasons are important because they help to breakdown a theorem, showing in steps and stages how a conclusion was reached. They provide facts that convince the observer that the theorem is indeed true.    

Answer:

6.5 or 6 1/2 miles per minute

Step-by-step explanation:

basically divide the amount of minutes by how many miles Jessica ran hence the minutes per mile.

Answer:

Step-by-step explanation: You divide the fractions. Start by making them a fraction instead of a mixed number then cross multiply keep the first flip the second and theres your answer :)

Answer: 17/25 pizza per each family member.

Answer:

x = 1-2

Step-by-step explanation:

27 = - 3x - 9

36 = -3x

-12 = x

x = -12

Step-by-step explanation:

27+9=-3x

36=-3x

36 divided by -3=x

-12=x

Answer:

The equation of the line in slope intercept form that passes through the point (-3, 5) and is parallel to y= - 2/3x is [tex]\mathbf{y=-\frac{2}{3}x+3 }[/tex]

Step-by-step explanation:

We need to Write the equation of the line in slope intercept form that passes through the point (-3, 5) and is parallel to y= - 2/3x

The general equation in slope-intercept form is: [tex]y=mx+b[/tex] where m is slope and b is y-intercept.

Finding Slope:

Both the equations given are parallel. So, they will be having same slope.

Slope of given equation y= - 2/3x is m = -2/3

This equation is in slope-intercept form, comparing with general equation  [tex]y=mx+b[/tex] where m is slope , we get the value of m= -2/3

So, slope of required line is: m = -2/3

Finding y-intercept:

Using slope m = -2/3 and point (-3,5) we can find y-intercept

[tex]y=mx+b\\5=-\frac{2}{3}(-3)+b\\5=2+b\\ b=5-2\\b=3[/tex]

So, we get b = 3

Now, the equation of required line having slope m = -2/3 and y-intercept b =3

[tex]y=mx+b\\y=-\frac{2}{3}x+3[/tex]

The equation of the line in slope intercept form that passes through the point (-3, 5) and is parallel to y= - 2/3x is [tex]\mathbf{y=-\frac{2}{3}x+3 }[/tex]

Answer:

[tex]\displaystyle y = -\frac{2}{3}x + 3[/tex]

Step-by-step explanation:

5 = –⅔[–3] + b

2

[tex]\displaystyle 3 = b \\ \\ y = -\frac{2}{3}x + 3[/tex]

Parallel equations have SIMILAR RATE OF CHANGES [SLOPES], so –⅔ remains as is.

I am joyous to assist you at any time.

Answer:

yes (answer in the comments) U^U

Step-by-step explanation:

Answer:

2.164, 2.379, 2.386, 2.538

Step-by-step explanation:

2.164<2.379<2.386<2.538

Answer:

2.164, 2.379, 2.386, 2.538 (least to greatest)

Step-by-step explanation:

The first number is the same so, all that you have to compare is what is after the decimal.

Hope this helped!! :)

Brainliest?!?!

Stay safe and have a wonderful day/night/afternoon!!!

This one is very simple.

The triangle on the left has two equal sides, so the angle on the opposite side of that same triangle is also 52º. That angle is on a 180º line, so the angle right next to it has to be 180º - 52º, so 128º. The other two angles of that triangle are unknown, but still equal because of the sides being the same. So, subtract 128º from 180º to get 52º again, but divide it by two. The angle measurement of x = 26º

Answer:

f(5)=27

Step-by-step explanation:

The 5 in the f(5) just means thats what x is equal to, so using that information you can do 2(5)+17=27, so f(5)=27. (Sorry if its short)

Answer:

Step-by-step explanation:

From the question we are told that

Edges of 8 feet, 4 feet, and 1/2 foot

Generally the volume V_p of the right rectangular prism is mathematically represented as

[tex]V_p=8*4*0.5[/tex]

[tex]V_p=16[/tex]

Generally volume of the cube V_c is mathematically given as

[tex]V_c =(\frac{1}{2})^3[/tex]

[tex]V_c =\frac{1}{6}[/tex]

Therefore total number of cubes is given as

[tex]V=\frac{V_p}{V_c}[/tex]

[tex]V=\frac{16}{\frac{1}{6}}[/tex]

[tex]V=96[/tex]

Answer:

100-51=49

49/100 x 58

= $28.42

Answer:

28.42

Step-by-step explanation:

the equation would be 58 times .49

58 times .49 is 28.42

Step-by-step explanation:

We know that perimeter is the sum of all sides

= 2x³ + 6x + 4x³ - 5x + 6x³ + x

= 12x³ + 2x

= 2x ( 6x² + 1)

Hope it will help :)❤

Answer:

x = 3.5

Step-by-step explanation:

Given

[tex]3^{2x-5}[/tex] = 9 , that is

[tex]3^{2x-5}[/tex] = 3²

Since the bases on both sides are equal, both 3 , then equate the exponents

2x - 5 = 2 ( add 5 to both sides )

2x = 7 ( divide both sides by 2 )

x = 3.5

9514 1404 393

Answer:

  (-2, 2)

Step-by-step explanation:

The orthocenter is the intersection of the altitudes. The altitude lines are not difficult to find here. Each is a line through the vertex that is perpendicular to the opposite side.

Side XZ is horizontal, so the altitude to that side is the vertical line through Y. The x-coordinate of Y is -2, so that altitude has equation ...

  x = -2

__

Side YZ has a rise/run of -1/1 = -1, so the altitude to that side will be the line through X with a slope of -1/(-1) = 1. In point-slope form, the equation is ...

  y -(-1) +(1)(x -(-5))

  y = x +4 . . . . . . . . subtract 1 and simplify

The orthocenter is the point that satisfies both these equations. Using the first equation to substitute for x in the second, we have ...

  y = (-2) +4 = 2

The orthocenter is (x, y) = (-2, 2).

Answer:

We conclude that:

Step-by-step explanation:

Given

Given the polynomial

[tex]-m^6-10m^3[/tex]

To determine

The degree of the polynomial

In order to determine the degree of the polynomial, we need to check the term with the highest of the degree with non-zero coefficients. The degree of an individual term is basically the exponent of the term.

In our case,

The exponents of the terms of this polynomial are, in order, 6, and 3.

Thus, the highest degree (larger exponent) of the term is 6.

Therefore, we conclude that:

Answer:

113.097

Step-by-step explanation:

so Basically to find the area of this cylinder have to set up to equation ((2)6pi)3

first you multiply 2 x 6 getting you 12 then multiply it by pi which in mathematical terms is 37.7 multiplied by 3, getting you 113.097

which can be simplified to 113

The surface area of the cylinder with height 3 cm and radius 6 cm is 340 cm².

The surface area of a figure is the number of unit squares it takes to cover the entire surface without gaps or overlaps. If a three-dimensional figure has flat sides, the sides are called faces.

Given that, the cylinder with height 3 cm and radius 6 cm, we need to find its surface area,

SA of a cylinder = 2 π × radius × (height + radius)

= 2 × 3.14 × 6 × (3+6)

= 2 × 3.14 × 6 × 9

= 339.12

≈ 340

Hence, the surface area of the cylinder with height 3 cm and radius 6 cm is 340 cm².

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Answer:

Step-by-step explanation:

x^3=27

x=sqrt27=3

x=3

Answer:

A) x=3

Step-by-step explanation:

you can type it in the calculator like this: [tex]\sqrt[3]{27} =3[/tex]

9514 1404 393

Answer:

  16.4

Step-by-step explanation:

The law of cosines is useful here. It tells you ...

  b^2 = a^2 + c^2 -2ac·cos(B)

  b^2 = 22^2 +10^2 -2·22·10·cos(44°)

  b^2 ≈ 267.49

  b ≈ √267.49 ≈ 16.35514

  b ≈ 16.4

Answer:

$12

Step-by-step explanation:

Juan borrowed $10

His mother loaned him $3 more

= $10 + $3

= $13

He sold $25 worth of lemonade in the first week

If the pays his mother then the amount that will be left with him can be calculated as follows

= $25 - $13

= $12

Answer:

$12

Step-by-step explanation:

got it on edge

Answer:

d

Step-by-step explanation:

because

12xy³z⁶/4x⁵yz¹²=3y²/x⁴z⁶

The division of (12xy³[tex]z^6[/tex])/ (4[tex]x^5[/tex]y[tex]z^{12[/tex]) is 3y²/ [tex]x^4[/tex][tex]z^6[/tex].

A polynomial is a mathematical equation that solely uses the operations addition, subtraction, multiplication, and non-negative integer exponentiation of variables. Variables are sometimes known as indeterminates in mathematics.

Given:

(12xy³[tex]z^6[/tex])/ (4[tex]x^5[/tex]y[tex]z^{12[/tex])

Now, expand for the division

12/4= 3

x / [tex]x^5[/tex] = 1/ [tex]x^4[/tex]

y³ /y = y²

[tex]z^6[/tex] / [tex]z^{12[/tex]= 1/[tex]z^6[/tex]

So, the division is

(12xy³[tex]z^6[/tex])/ (4[tex]x^5[/tex]y[tex]z^{12[/tex])

= 3y²/ [tex]x^4[/tex][tex]z^6[/tex]

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Answer:

7

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

Answer:

2x+3x+35 =180

5x+25=180

5x =180-25

5x =155

x= 155/5

x= 31