5^x + 5^x+1 = 150
Find x

Step-by-step explanation:

the absolute value is the numbers UNIT DISTANCE from the origin (0,0). since you can't have negative distance, the result is always positive. Can be solved by counting distance on a graph Not by the actual numbers on the line (-1,-2,-3, etc) but by counting the "boxes" from a point to the origin. hope this makes sense!

Answer:

the absolute value of negative number makes it a positive number

Answer:

4

Step-by-step explanation:

The amount of milk remaining is equivalent to 4 gallons.

Given is that Jansen family has 2 1/2 gallons of milk. Each of the 3 family members drinks 1 1/2 cups of milk a day.

1 gallon = 16 cups

2[tex]\frac{1}{2}[/tex] gallons = 2[tex]\frac{1}{2}[/tex] x 16 = 5/2 x 16 = 5 x 8 = 40 cups

Now -

Total milk consumed in 1 day = 3 x 3/2 cups = 9/2 cups = 4.5 cups.

In 8 days, the amount of milk consumed will be = 4.5 x 8 = 36 gallons.

Remaining amount = 40 - 36 = 4 gallons.

Therefore, the amount of milk remaining is equivalent to 4 gallons.

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Answer:

答えがわからない

Step-by-step explanation:

答えがわからない

Answer:

So there are infinite solutions along the line y = 2x-1

Step-by-step explanation:

10x=5y+5

y=2x-1

Substitute y into the first equation

10x = 5(2x-1) +5

10x = 10x-5+5

10x = 10x

This is always true

So there are infinite solutions along the line y = 2x-1

Answer:

[tex]\large\boxed{R = 2 \frac{6}{7}}[/tex]

Step-by-step explanation:

R/5 = 4/7

Cross-multiply (numerator * opposite denominator = numerator * opposite denominator)

R(7) = 5(4)

Multiply

7R = 20

Divide both sides of the equation by 7

R = 20/7

Simplify

[tex]\large\boxed{R = 2 \frac{6}{7}}[/tex]

Hope this helps :)

Answer:

1-x=y cubed

Step-by-step explanation:

difference between 1 and a number is 1-x and the answer to this you cube.

Answer:

three times a number minus two

Step-by-step explanation:

x= times a number

Answer:

Corresponding angles

Step-by-step explanation:

Corresponding angles are formed when two lines are crossed by another line (which is called the Transversal) So , the angles in matching corners are called corresponding angles.

Answer:

y=5x+20

Step-by-step explanation:

It grows by 5 each week with would be the m, the b value would be the amount already saved which is 20.

Answer:

y=5x+20

Step-by-step explanation:

Answer:

(4,2)

Step-by-step explanation:

[tex]Midpoint =\left(\frac{x_2+x_1}{2},\:\:\frac{y_2+y_1}{2}\right)\\\\\left(x_1,\:y_1\right)=\left(8,\:5\right),\:\\\left(x_2,\:y_2\right)=\left(0,\:-1\right)\\\\=\left(\frac{0+8}{2},\:\frac{-1+5}{2}\right)\\\\= (\frac{8}{2} , \frac{4}{2} )\\\\Simplify\\=\left(4,\:2\right)[/tex]

Answer:

(4,2)

Step-by-step explanation:

you know why

Answer:

I can't understand your language

Answer:

x≤6

y≤5

x+y≤10

Step-by-step explanation:

Answer:

r = 0

Step-by-step explanation:

First, combine like terms:

(-2r - 4r) = 0

(-6r) = 0

Isolate the variable, r. Divide - 6 from both sides:

(-6r)/-6 = (0)/-6

r = 0/-6 = 0

r = 0 is your answer.

~

Answer: R=0

Step-by-step explanation:

Answer:

The slope is 0

Line is y= -4

Step-by-step explanation:

[tex]y = {x}^{2} + 4x - 12[/tex]

Answer:

the answer is 100$ on endgunuity

Step-by-step explanation:

The cost for 5 of the gift cards is $100. Therefore, option C is the correct answer.

The general equation of a straight line is y=mx+c, where m is the gradient, and y = c is the value where the line cuts the y-axis. This number c is called the intercept on the y-axis.

Given that, blue diamonds appear at points (1, 20), (2, 40), (3, 60), (4, 80).

Now, we will find m and c using the points (1,20) and (2,40)

Let x be the number of gifts cards and y is total cost (in $).

The slope, m = (40-20)/(2-1)

m = 20

Equation of straight line is given as,

y = mx + c

Put the value of m,

So, y = 20x + c

Substitute with the point (1,20) in y=20x+c, we get

20 = 20×1 + c

20 = 20 + c

c = 0

The equation of the line, y = 20x

To find the cost for 5 of the gift cards substitute with x = 5

y = 20×5 = 100

So, the cost for 5 of the gift cards = $100

Therefore, option C is the correct answer.

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Answer:

Step-by-step explanation:

f(x) = x - 14

To find f(2) substitute the value of x that's 2 into f(x). That is for every x in f(x) replace it with 2

We have

f(2) = 2 - 14

We have the final answer as

Hope this helps you

Here, we are given with a polynomial f(x)

[tex]f(x) = x - 14[/tex]

And we are asked to find f(2).....?

We can see that, 2 is in place of x. So for finding its value, we need to substitute 2 in place of x.

Substituting 2 in place of x:

[tex]f(x) = x - 14[/tex]

[tex]f(2) = 2 - 14[/tex]

Solving further,

[tex]f(2) = \boxed{- 12}[/tex]

And, we're done with the value of f(2)

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Answer:

7.1 cm

Step-by-step explanation:

The diagonal of a cube connects two opposite corners.

You can use the diagonal of a cube in a right triangle in which it is the hypotenuse. The legs of the triangle are a diagonal of a face and an edge.

Let the length of the edge be s.

a^2 + b^2 = c^2

[tex] s^2 + 10^2 = (\sqrt{150})^2 [/tex]

[tex] s^2 + 100 = 150 [/tex]

[tex] s^2 = 50 [/tex]

[tex] s = \sqrt{50} [/tex]

[tex] s = 5\sqrt{2} [/tex]

s = 7.1

Answer: 7.1 cm

[tex] - 85 \div 20 = - 4 \frac{1}{4} = - 4.25[/tex]

[tex]100 \div 60 = \frac{5}{3} = 1 \frac{2}{3} [/tex]

Answer: The camera shutter is located inside the camera body.

Fun Fact - In the 1957 film “12 Angry Men” the focal length of the lenses in the cameras used were gradually increased to create a feeling of claustrophobia.

Answer:1

Step-by-step explanation:

Answer:

[tex]x=-11[/tex]

Step-by-step explanation:

[tex]\sqrt{5-x}=4[/tex]

Square both sides:

[tex](\sqrt{5-x})^2=4^2[/tex]

[tex]5-x=16[/tex]

Subtract 5 from both sides:

[tex]5-x-5=16-5[/tex]

[tex]-x=11[/tex]

Divide both sides by -1:

[tex]\frac{-x}{-1}=\frac{11}{-1}[/tex]

[tex]x=-11[/tex]

Answer: at 11:54

Step-by-step explanation:

Let's define the 10:30 as our t = 0 min.

We know that Train A stops every 12 mins, and Train B stops every 14 mins, they will stop at the same time in the least common multiple of 12 and 14.

To find the least common multiple of two numbers, we must do:

LCM(a,b) = a*b/GCD(a,b)

Where GCD(a, b) is the greatest common divisor of a and b.

In this case the only common divisior of 12 and 14 is 2.

So we have:

LCM(12, 14) = 12*14/2 = 84.

Then the both trains will stop 84 minutes after 10:30

one hour has 60 mins, so we can write 84 minutes as:

1 hour and 24 minutes = 1:24

Then they will stop at the same time at 10:30 + 1:24 = 11:54

Answer:

Step-by-step explanation:

If John's teacher bought three 64 ounce bottles of soda for a class party, the total weight of the soda bought will be 3*64 = 192 ounces of soda.

If 1/6 of the soda remained after the party, the amount of ounces that remained is expressed as;

amount of ounces that remained  = 1/6 * 192

amount of ounces that remained = 32 ounce

Hence amount of ounces that remained is 32 ounces

Answer:

28

Step-by-step explanation:

Seven times four is equal to twenty eight