Katelyn is training for a marathon. This week she ran 6 miles less than 2 times the number of miles she ran the previous week. She ran a total

of 42 miles in the two weeks.

Which system of equations can be used to find the number of miles she ran this week, r, and the number of miles she ran the previous week,

p?

Answer:

B

Step-by-step explanation:

The cylindrical part

Area of the cylindrical part = Circumference of the circle * height

Area of the cylindrical part = pi * d * height

Area = 3.14 * 10 * 9

Area =                                                                                282.6

Lid

Area = pi * r^2

r = 5

Area = 3.14* 5^2 * 2

Area =                                                                                 157

Total                                                                                    439.6                                                                        

I know this doesn't look right according to the diagram, but it is the only way that you can solve the question. That is, you must assume there are two lids, not one as the diagram suggests.

Answer:

rational

Step-by-step explanation:

This can be written as a fraction.

0.31311311131111/0.100000000000000

Hope this helps :D

Answer:

Irrational

Explanation:

doesn't terminate

doesn't repeat

The required simplified solution of the given expression is (√2 + √5).

Given that, to simplify the expression √3(√6+√15).

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
Given expression,
= √3(√6+√15)
= √3×√6 + √3 ×√15
= √3×√3×2 + √3 ×√3×5
= √3×√3(√2 + √5)
= 3(√2 + √5)

Thus, the required simplified solution of the given expression is (√2 + √5).

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Answer:

ITS A!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!=)

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Just put A :)

Answer:

A. [tex]y=-\frac{5}{2} x+2[/tex]

P.S. Sorry, the first answer I input wasn't registered well

Answer: R=5 D=10

Step-by-step explanation: If I am correct the radius is 5 while the diameter is 10. All you need to do is subtract 7 by 2 ( from the coordinates) giving you five. Now if you multiply 5 by 2 you get 10 which is the diameter. Hope this helps and best of luck.

Answer:

y=120x

Step-by-step explanation:

You can just divide all of the points (y/x) and they all equal to 120. And when you add it to the equation its y=120x

Answer:

7

Step-by-step explanation:

The function is f(x) so if x is replaced with a number, that's the value that x is in the equation. In this case, it'll be -5, so go to -5 on your graph. The y value is 7.

Answer:

[tex]1.25 \times {10}^{2} = 125 [/tex]

Step-by-step explanation:

[tex] \frac{5 \times {10}^{6} }{4 \times {10}^{4} } = \frac{5}{4} \times \frac{ {10}^{6} }{ {10}^{4} } = 1.25 \times {10}^{2} = 125[/tex]

Answer:

D

Step-by-step explanation:

You know the slope has to be -5, because in the equation it says -5x. You know the y intercept has to be a number on the y axis, and since it says the y intercept is 4 in the equation, you would know its (0,4).

Answer:

b: 3 cm

Step-by-step explanation:

just set up a proportion 4.5/3 = x/2 and solve for x by multiplying across and getting the equation 3x=9 and then divide by 3.

Answer:If i am correct i think the right answer is -14x-4

Step-by-step explanation:

Answer: 48

Step-by-step explanation:

36/3 =12

12+ 36 = 48

48-75% = 12

Hope this helps

Answer:

I belive it is D because it has an arrow which would make it greater than or equal to

Answer:

$2000

Step-by-step explanation:

The value of the savings account is

v(m) = 2000(1.005)^m

where m is the number of months.

Compare with the formula for compound interest,

F = P(1 + r)^(nt)

where P = principal amount invested.

Answer: $2000

Step-by-step explanation:

3x-9=2x+73

3x-2x=73+9

x=82

Answer:

x = 83

Step-by-step explanation:

3x-9 / 2 = x + 37

1. multiply both sides by 2 to get rid of the fraction

3x - 9 = 2x + 74

2. move the variable to one side and the numbers to another side

3x - 2x = 74 + 9

x = 83

Answer:

you should find the value of 112°

Answer-5 + -4 = -9. The answer is “add -4”

Step-by-step explanation:

Answer:

a n = − 4 n − 1

Step-by-step explanation:

Use the formula  a n = a 1 + d ( n − 1 )  to identify the arithmetic sequence.

Answer:

B.

Step-by-step explanation:

Any point in the highlighted (red) region will be in our solution set.

Note that our line is dotted. Thus, any points on the line is not in our solution set.

So, we can simply go through each point and check.

A is on the line. So, A is not a solution.

B is within the red region. Hence, B is our solution.

C is on the line. So, C is not a solution.

And D is not in the red region. So, D is not a solution.

Therefore, our answer is B.

Answer:

376.52 is the volume of the composite figure.

Step-by-step explanation:

Let's break this into two shapes.

A rectangular prism and a hemisphere

Volume Formula for rectangular prism: l • h • w

Volume Formula for hemisphere: (2/3)πr^3

l • h • w

10 • 4 • 8

40 • 8

320

Rectangular Prism: 320

(2/3)πr^3

2/3(3)^3

2/3(3.14)(27)

2.09333333333(27)

56.52

Hemisphere: 56.52

320 + 56.52 = 376.52

The volume of the composite figure is 376.52  [tex]cm^{3}[/tex].

The total space occupied by a hemisphere in a 3-dimensional region is called its volume. Geometrically a hemisphere is an exact half of a sphere.

Volume of hemisphere = [tex]\frac{2}{3} \pi r^{3}[/tex]

The volume of the cuboid is the measure of the space occupied within a cuboid. The cuboid is a three-dimensional shape that has length, breadth, and height.

Volume of cuboid = Length × Width × Height

Given

Radius of hemisphere r = 3

Volume of hemisphere = [tex]\frac{2}{3} \pi r^{3}[/tex]

Volume of hemisphere V1= [tex]\frac{2}{3} \pi r^{3}[/tex]

= [tex]\frac{2}{3} .(3.14).(3)^{3}[/tex]

= 56.52 [tex]cm^{3}[/tex]

Volume of cuboid V2 = Length × Width × Height

= 10 × 8 × 4

= 320 [tex]cm^{3}[/tex]

The volume of the composite figure V = V1 + V2

V =  56.52 +  320

V = 376.52  [tex]cm^{3}[/tex]

Hence, the volume of the composite figure is 376.52  [tex]cm^{3}[/tex].

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Answer:

1 and 4 parallel lines are straight

Step-by-step explanation:

Answer:

it depends on what you believe, butttt i would say science

Answer: Science.

Step-by-step explanation: In my opinion science makes more sense than religion because it has proof, but I do not have anything against religious people.

Answer:

rational bc it's a decimal

Step-by-step explanation:

The correct option is,

⇒ Since the function is even, the outputs of a negative x-value and a positive x-value are the same.

A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

Since, We know that;

A function is "even" when f(x) = f(−x) for all x.

Now, Geometrically speaking, the graph face of an even function is symmetric with respect to the y-axis, meaning that its graph remains unchanged after reflection about the y-axis.

So, If point (6, 8) is one the points on the graph of f(x),

Then, f (6) = 8

And, since function is even, you can state that;

⇒ f(-6) = f(6) = 8.

This means that point (-6,8) must also be a point on the graph. Geometrically it means that the output of a negative x-value and its opposite is the same.

Thus, The correct option is,

⇒ Since the function is even, the outputs of a negative x-value and a positive x-value are the same.

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Given:

Principal value = $12000

Rate of interest = 2.5%

To find:

Total amount after 15 years.

Solution:

Formula for amount discontinuously compounded interest is

[tex]A=Pe^{rt}[/tex]

where, P is principal, r is rate of interest and t is time in years.

Substitute P=12000, r=0.025 and t=15 in the above formula.

[tex]A=12000e^{0.025(15)}[/tex]

[tex]A=12000e^{0.375}[/tex]

[tex]A=12000(1.45499141462)[/tex]

[tex]A=17459.8969754[/tex]

[tex]A\approx 17459.897[/tex]

Therefore, the amount after 15 years is $17459.897.

Answer:

1. x= 3y+6/2

y=2/3x-2

2.x=−y+3

y=−x+3

Step-by-step explanation:

1. Let's solve for x.

y=2/3x-2

Step 1: Flip the equation.

2/3x-2=y

Step 2: Add 2 to both sides.

2/3x-2+2=y+2

2/3x=y+2

Step 3: Divide both sides by 2/3.

2/3x/2/3=y+2/2/3

x= 3y+6/2

Let's solve for y.

y=2/3x-2

2. Let's solve for x.

y=−x+3

Step 1: Flip the equation.

−x+3=y

Step 2: Add -3 to both sides.

−x+3+−3=y+−3

−x=y−3

Step 3: Divide both sides by -1.

-x/-1=y-3/-1

x=−y+3

Let's solve for y.

y=−x+3

here are two graphs if you need a better explanation

HOPE THIS HELPS