. Elijah's workout at the gym consists of just the elliptical and treadmill. After burning 450
calories on the elliptical machine, Elijah switched to the treadmill. If he is burning 12.5 calories
per minute on the treadmill, find the total number of calories he will have burned during his
workout if he spends 30 minutes on the treadmill.

Use point slope equation.

Since parallel, the slope is the same. Then jsut plug in the numbers to the formula (u can google this)

y - 10 = 2 (x - 7)

^^this is point slope form

for slope intercept:

y = 2x - 4

Answer:

[tex]y=2x-4[/tex]

Step-by-step explanation:

So we want to write an equation of a line that goes through the point (7,10) and is parallel the the line y=2x+5.

First, we can determine the slope of our new line. Parallel lines always have the same slope. In other words, the slope of our new line must also be 2.

Now, we can use the point-slope form to find our equation:

[tex]y-y_1=m(x-x_1)[/tex]

Let's let (7,10) be x₁ and y₁. Let's also substitute 2 for m. Thus:

[tex]y-10=2(x-7)[/tex]

Distribute:

[tex]y-10=2x-14[/tex]

Add 10 to both sides:

[tex]y=2x-4[/tex]

And we're done!

Answer:

5.6666666666667 grams/cubic centimeters

Step-by-step explanation:

teps:

ρ =    m / v

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~  

17 gram s / 3 cubic centimeter

=  5.6666666666667 grams/cubic centimeter

I believe this is correct unless you need to round it up

I hope I helped

Answer:

5.67g/cm³

Step-by-step explanation:

Density =mass ÷ volume

17÷3=5.67

Answer:

8 Months

Step-by-step explanation:

The formula in the problem (B = 100 + 75m) can be written as this:

(B-100)/75 = M

The problem gives us the balance (B=700), which we can plug into our new formula to find the number of months (m).

(700-100)/75 = M

M = 8

I hope this helps!

-TheBusinessMan

Answer:

A total of 119 Specials were sold today.  Chicken Littles had the highest number sold, which represents about 21% (25/119 * 100) of the total sales and a cost of 24% of the total costs.  This was followed by Huge Burger and Coney Dog which were sold 20 each or about 17% of the number sold.  Poker Burger, Baby Burger, and Yummy trailed behind with total sales of 19, 18, and 17 respectively.

Step-by-step explanation:

a) Data and Calculations:

SPECIAL            NUMBER SOLD  Percentage   COST      Percentage

Huge Burger                20           17%                 $2.95        20%

Baby Burger                 18            15%                 $1.49         10%

Chicken Littles            25           21%                 $3.50         24%

Porker Burger              19            16%                $2.95        20%

Yummy Burger             17            14%                 $1.99         13%

Coney Dog                  20            17%                 $1.99         13%

Total Specials Sold    119          100%               $14.87        100%

Answer:

It is not a whole number.

Step-by-step explanation:

5/4 is equals to 1.25

Therefore it is still a decimal and a fraction, NOT a whole number

Answer: [tex]7x+10[/tex]

Step-by-step explanation:

Combine the terms;

[tex]-3+7x+13\\(7x)+(-3+13)\\7x+10[/tex]

Answer:

-1/3

Step-by-step explanation:

Since we are given two points, we can find the slope using

m = ( y2-y1)/(x2-x1)

   = ( -1-2)/( 6- -3)

   = ( -1-2) /( 6+3)

   = -3/9

    = -1/3

Answer:

Slope (m) = [tex]\frac{-1}{3}[/tex] = -0.33333333...

Step-by-step explanation:

Slope (m) = ΔY -1

                   ΔX  3

(m)= -1/3

Answer:

Answer is this or not

Step-by-step explanation:

16x^4y^3/3

Answer:

Every integer is a rational number, since each integer n can be written in the form n/1. For example 5 = 5/1 and thus 5 is a rational number. However, numbers like 1/2, 45454737/2424242, and -3/7 are also rational, since they are fractions whose numerator and denominator are integers.

Step-by-step explanation:

Answer:

an integer is a rational number

Step-by-step explanation:

We don't know what tax percentage or amount is so we have to keep this part out.

Add to find how much she paid with.

10 + 5 = $15

Subtract to find how much she paid.

15 - 4.68 = $10.32

Divide to find the unit price.

10.32 / 2.4 = $4.30 per gallon

Best of Luck!

Answer:

A

Step-by-step explanation:

Answer: Aₙ = 3*Aₙ₋₁ - 12

Step-by-step explanation:

Here our terms will be denoted as:

Aₙ

Where this is the n-th term of the sequence.

Now we have that the recurrence relation is defined by:

"by multiplying the prior term by 3 and subtracting 12."

Then we will have that:

Aₙ = 3*Aₙ₋₁ - 12

That is the equation to find all the terms in our sequence (remember that we need to know the initial term, A₀ in order to find all the other ones)

Answer:

Step-by-step explanation:

2z = 4

z = 2

-y + 2 = 4

-y = 2

y = -2

2x + 4 + 2 = 8

2x + 6 = 8

2x = 2

x = 1

(1, -2, 2)

Step-by-step explanation:

(31x-11)-15x=DF

DF= 16x-11

Answer:

(31x-11)-15x=DF

DF= 16x-11

Step-by-step explanation:

It should be right

Answer:

cation.

right on the test, Mark brainlieste

Step-by-step explanation:

Answer: cation

Step-by-step explanation: an ion formed by the loss of one or more electrons becomes positively charged and is a positive ion, or cation

Answer:

(10x⁴ - 52x³ + 5x² + 246x - 196) ft²

Step-by-step explanation:

The figure can be divided into two rectangles: the small rectangle and the large rectangle.

Dimensions of the small rectangle:

Length (l) = (x) ft

Width (w) = (x² - 6) - (5x - 14) = x² - 6 - 5x + 14 = (x² - 5x + 8) ft

Area of small rectangle = l*w = (x)(x² - 5x + 8)

Area = x(x²) - x(5x) + x(8) (using distributive property)

Area of small rectangle = (x³ - 5x² + 8x) ft²

Dimensions of large rectangle:

Length (l) = (2x³ - 5x² - 12x + 14) ft

Width (w) = (5x - 14) ft

Area of large rectangle = l*w = (2x³ - 5x² - 12x + 14)(5x - 14)

2x³(5x - 14) - 5x²(5x - 14) - 12x(5x - 14) + 14(5x - 14) (distributive property)

10x⁴ - 28x³ - 25x³ + 70x² - 60x² + 168x + 70x - 196

Combine like terms

Area of large rectangle = (10x⁴ - 53x³ + 10x² + 238x - 196) ft²

Area of figure = area of small rectangle + area of large rectangle

= (x³ - 5x² + 8x) + (10x⁴ - 53x³ + 10x² + 238x - 196)

Open parentheses

= x³ - 5x² + 8x + 10x⁴ - 53x³ + 10x² + 238x - 196

Combine like terms and arrange in standard form (from the greatest degree to the least)

= 10x⁴ + x³ - 53x³ - 5x² + 10x² + 8x + 238x - 196

= 10x⁴ - 52x³ + 5x² + 246x - 196

Area of the figure = (10x⁴ - 52x³ + 5x² + 246x - 196) ft²

Answer:

( f - g ) (x) f (x) = 2x^2 - 2  

g (x) = 4x + 1

answers in pics

Answer:

The y-intercept is (0,0)

The x-intercepts are (-3,0), (0,0), and (4,0)

Step-by-step explanation:

So we have the function:

[tex]f(x)=-x^3+x^2+12x[/tex]

And we want to solve for the x- and y-intercepts.

Y)

To solve for the y-intercept, recall that the y-intercept is when the graph touches the y-axis. At that point, the x values is 0. Thus, to find the x-intercept, substitute 0 for x:

[tex]f(x)=-(0)^3+(0)^2+12(0)[/tex]

Simplify:

[tex]f(x)=0[/tex]

So, the y-intercept is (0,0)

X)

To solve for the x-intercept(s), set the function equal to 0 and solve for x:

[tex]0=-x^3+x^2+12x[/tex]

First, factor out a negative x:

[tex]0=-x(x^2-x-12)[/tex]

Factor within the parentheses:

[tex]0=-x(x-4)(x+3)[/tex]

Zero Product Property:

[tex]-x=0\text{ or } x-4=0\text{ or } x+3=0[/tex]

Divide by -1 on the first one. Add 4 on the second one. And subtract 3 on the right:

[tex]x=0\text{ or } x=4\text{ or } x=-3[/tex]

So, our x-intercepts are:

[tex](-3,0), (0,0), (4,0)[/tex]

And we're done :)

Answer:

Hey there!

1000 meters are in one kilometer, so 3500 meters are in 3.5 kilometers.

Hope this helps :)

Answer:

3,500 meters

Step-by-step explanation:

So this is conversation rates. So how I like to remember conversion rates in the metric system is King Henry Doesn't Usually Drink Chocolate Milk.

K=Kilo, H=Hecto, D=Deca, U=Unit (meters, liter, grams), D=Deci, C=Centi, M=Milli.

SO between meters (which is the U) and kilometers (which is the K), there's 3 letters so kilometers is 1000 times greater than meters. SO 3.5*1000=3500.

Hope this helped

Answer:

Distance problems are word problems that involve the distance an object will travel at a certain average rate for a given period of time.

The formula for distance problems is: distance = rate × time or d = r × t.

Things to watch out for:

Make sure that you change the units when necessary. For example, if the rate is given in miles per hour and the time is given in minutes then change the units appropriately.

It would be helpful to use a table to organize the information for distance problems. A table helps you to think about one number at a time instead being confused by the question.

Step-by-step explanation:

Answer:

X(s) = 2/[s³(s + 9)]

Step-by-step explanation:

Here is the complete question

Solve for the function X(s) in the Laplace domain by taking the Laplace transform of the following differential equations with given initial conditions.

dx/dt + 9x = 16t²     x(0) = 0 and dx(0)/dt = 5

Solution

dx/dt + 9x = 16t²

Taking the Laplace transform of the differential equation, we have

L{dx/dt + 9x} = L{16t²}

L{dx/dt} + L{9x} = L{16t²}

L{dx/dt} + 9L{x} = 16L{t²}

sL{x} - x(0) + 9L{x}  = 16L{t²}

L{x} = X(s)

L{t²} = 2!/s³

Substituting X(s) and L{t²} into the equation above, we have

sX(s) - x(0) + 9X(s) = 2!/s³

Substituting x(0) = 0 into the equation above, we have

sX(s) - x(0) + 9X(s) = 2!/s³

sX(s) - 0 + 9X(s) = 2!/s³

sX(s) + 9X(s) = 2!/s³

Factorizing X(s), we have

(s + 9)X(s) = 2!/s³

X(s) = 2/[s³(s + 9)]

So X(s) in the Laplace domain is

X(s) = 2/[s³(s + 9)]

Answer:

y = 3/4 x - 5

Step-by-step explanation:

The slopes of perpendicular lines are negative reciprocals. We find the slope of the given line. Then we can find the slope of the reciprocal.

4x + 3y = -6

Solve for y.

3y = -4x - 6

y = -4/3 x - 2

The slope of the original line is -4/3.

The slope of the perpendicular is 3/4.

Now we need to find the equation of line with slope 3/4 that contains point (4, -2).

y = mx + b

-2 = (3/4)(4) + b

-2 = 3 + b

-5 = b

b = -5

The equation is

y = 3/4 x - 5

Answer:

1190

Step-by-step explanation:

Answer:

the answer to your question is 7/4

Answer:

second option

Step-by-step explanation:

Substitute x = f(x) into g(x) , that is

g(f(x))

= g(x + 2)

= [tex]\sqrt{x+2-9}[/tex]

= [tex]\sqrt{x-7}[/tex]

The answer is a 577 foot difference