A building 350 feet tall casts a shadow 1/2 mile long. How long is the shadow of a person five feet tall?

Answer:

x=(-1)/4

Step-by-step explanation:

4x=1-2

4x=(-1)

x=(-1)/4

Answer:

x=2, y = 6

Step-by-step explanation:

We see that y = 3x so we can substitute the y in x + y = 8.

x + 3x = 8.

Combine like numbers:

4x = 8.

Divide both sides by 4.

x = 2

Now plug in x to find y

2 + y = 8

Subtract 2 from both sides.

y = 6

Answer: The highest recorded temperature was 38 degrees.

Step-by-step explanation:

Given: The coldest temperature last December was –18.24 degrees.

Difference between this and the highest recorded temperature=

56.24 degrees

The highest recorded temperature = coldest temperature + difference

= -18.24+56.24 degrees

= 38 degrees

Hence, the highest recorded temperature was 38 degrees.

Answer:

5

Step-by-step explanation:

So the square root of 21 is 4.582...

If you round 4.582.. it is 5

Because you look at the first number behind the decimal (tenths place) if it is 4-0 you leave the number the same. If it is 5-9 you increase the number by 1.

Hope this helps ya!!

Step-by-step explanation:

It is given that,

The average distance from the sun to the planet Venus is about 108,000,000 km. The diameter of a human hair is about 0.0025 mm.

(a) In scientifc notation, the distance from the Sun to Venus will be :

There are 8 numbers before 1. It means

d = 1.08 × 10⁸ km

(b) In scientific notation, the diameter of a human hair will be :

There are 3 numbers after decimal. It means

D = 2.5× 10⁻³ mm

(c) Before comparing two measurements, both values must be converted into the same units.

Since, 1 mm = 10⁻⁶ km

D = 2.5× 10⁻³ × 10⁻⁶ km

= 2.5 × 10⁻⁹ km

For comparison divide the distance from the Sun to Venus and the diameter of a human hair.

[tex]C=\dfrac{1.08\times 10^8\ km}{2.5\times 10^{-9}\ km}\\\\=4.32\times 10^{16}[/tex]

Hence, this is the required solution.

A function assigns the value of each element of one set to the other specific element of another set. The function g(x) which is reflection of f(x) will be g(x)=−3+|x+11|.

A function assigns the value of each element of one set to the other specific element of another set.

The given function g whose graph represents a reflection in the y-axis of the graph of f(x)=−3+|x−11| will be g(x)=−3+|x+11|. This is because if the function is reflected on the y-axis then the result of the reflected function will be the same but the result will be 11 units late, 11 units because it is the critical point of the absolute value.

Hence, the function g(x) which is refelction of f(x) will be g(x)=−3+|x+11|.

Learn more about Function here:

https://brainly.com/question/5245372

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Answer:

1.00000

Step-by-step explanation:

Well I'm not sure what that upside down V is

Answer:

an = 7 + 5n

Step-by-step explanation:

First we know that for each number of days rented the cost increase by 5 so we get an - (?) + 5n.

We also know the first number is 12 for 1 day, so for 0 days, or the starter cost, is 7. We get this by subtracting 5 from 12.

Hence the answer an = 7 + 5n

Answer:

Step-by-step explanation:

Answer:

option 4

Step-by-step explanation:

Answer:

Option 4 (C)

Step-by-step explanation:

Substitute the f(x) = 10 - x^2 into where it says f(x):

g(x) = 3 f(x) - 8

g(x) = 3 (10-x^2) - 8

Because there is a -2 in place of the x in g(x), then we need to substitute the value of 2 for x into the equation:

g(-2) = 3 (10-(-2)^2) - 8

g(-2) = 18 - 8

g(-2) = 10

^-^ hope this helps! (●´ω｀●)

Answer:

$10.06

Step-by-step explanation:

Since there are 2 people, multiply the amount they each get by 2.

5.03 times 2=10.06

Final answer  10.06

Hope this helps:)

Answer:

$42.60

Step-by-step explanation:

change 6.5% to. 065 and multiply it by 40. $2.60 is your sales tax. then add 2.60 to $40 which equals $42.60

Answer:

D

Step-by-step explanation:

Refer to the picture that givem

Answer:

Step-by-step explanation:

Let the initial percentage to be 30%

If it started to loose 2.5% every hour where;

t represents the time after Charlotte left her house

The amount of percent remaining every hour will form an arithmetic sequence as shown;

30, (30-2.5), (30-5.0),...

30, 27.5, 25.0...

Using the nth term for calculating an arithmetic sequence

B = a + (t-1)d

a is the first term = 30

d is the common difference = 27.5-30 = 25-27.5 = -2.5

t is the time

Substitute the given values into the formula;

B = 30 + (t-1)(-2.5)

B = 30+(-2.5t+2.5)

B = 30-2.5t+2.5

B = 32.5 - 2.5t

Hence equation for B, in  terms of t, representing the charge remaining in Charlotte's battery, as a percentage,  t hours after Charlotte left her house is B = 32.5 - 2.5t

Answer:

this is a positive slope

Step-by-step explanation:

hope this helps

Answer:

(f + g)(x) means f(x) + g(x)

General Formulas and Concepts:

Alg I

Alg II

Step-by-step explanation:

(f + g)(x) is the number form of "f plus g of x", meaning that we add the functions f and g together respect to x.

Another way to write (f + g)(x) is f(x) + g(x), which is the number form of "f of x plus g of x", still meaning that we are adding the 2 functions together.

Answer:

its b

Step-by-step explanation:

they have the same slope

1)-4/-6=2/3

2)-2/-3=2/3

BUT different y-int

1)-6/-26=1/4

2)-3/-6=1/2

so no solution

Answer:

1 1/8

Step-by-step explanation:

Divide 2 1/4 by 2.

Answer:

11

Step-by-step explanation:

72/9=8 so 99/9=11

Answer:

Option 2 you welcome

explanation: I had this question a while back and I'm 100% sure that this is the right answer!

Answer:

hi

Step-by-step explanation:

0

.

3

−

2

.

4

=

1

.

2

5

0.3x-2.4=1.25x

0.3x−2.4=1.25x

3

1

0

−

2

.

4

=

1

.

2

5

Answer:

x = -2.52631578

Step-by-step explanation:

Combine multiplied terms into a single fraction.

0.3x - 2.4 = 12.5x

3x/10 - 2.4= 1.25x

Again, combine multiplied terms into a single fraction.

3x/10 - 2.4= 1.25x

3x/10 - 2.4 = 5x/4

Add 2.4  to both sides of the equation

3x/10 - 2.4 = 5x/4

3x/10 - 2.4 + 2.4 = 5x/4 + 2.4

Simplify (Add the numbers)

3x/10 = 5x/4  + 2.4

Multiply all terms by the same value to eliminate fraction denominators.

3x/10 = 5x/4  + 2.4

2  x 2 x 5 x 3x/10 = 2 x 2 x 5(5x/4 +2.4)

Therefor, x = 2.52631578

Hope this helps, have a great day! :)

Answer:

I belive it would be HL because its defenitly not SSS

Step-by-step explanation:

HL Postulate is if the hypotenuse and leg of one right triangle are congruent to the hypotenuse and leg of another right triangle, then the two triangles are congruent.

Answer:

I

Step-by-step explanation:

3x-5+7x+5+90=180

x=9

Answer:

4 ÷ 7 = 0.571428

Step-by-step explanation:

4 ÷ 7 = 0.571428

Answer:

As a fraction: 81/100 (cannot be simplified) Decimal: 0.81 and a percent 81%

Step-by-step explanation:

Count the blocks and convert (you can also use an array.) Hope this helps you!

Answer:

Fraction: 81/100

Decimal: 0.81

Percent: 81%

Step-by-step explanation:

The box is a 10x10 so it has 100 squares inside.

There are 81 squares shaded so the fraction would be 81/100

To get the decimal just divide 81 by one hundred so the decimal is .81

As a percent is would be 81%

Hope this helps ya!!

Answer:

Graph the line using the slope and y-intercept, or two points.

Slope:

2

3

y-intercept:

(

0

,

−

3

)

x

y

0

−

3

9

2

0

Step-by-step explanation:

Answer: x = (0,0)  y = (3,0)

Step-by-step explanation:  you have to find the Asymptotes In The Equation

Answer:

Line 2 ║ Line 3

Step-by-step explanation:

y = mx + b

~~~~~~~~~~

Line 1: y = - 7x + 6

Line 2: x + (1/3)y = - 6 ⇔ y = - 3x - 18

Line 3: y = - 3x - 8

Line 4: y + 7 = (-1/7)(x + 4) ⇔ y = [tex]- \frac{1}{7}[/tex] x - [tex]\frac{43}{7}[/tex]

[tex]m_{line2}[/tex] = [tex]m_{line3}[/tex]  ⇒  Line 2 ║ Line 3

9514 1404 393

Answer:

  see attachments for a table and graph

Step-by-step explanation:

I find it convenient to use a graphing calculator or spreadsheet to do repetitive computations reliably.

__

Your specific question asks for h(0):

  h(0) = -|0 +2| +1 = -2 +1

  h(0) = -1

You may want to check your other table values.