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3 years ago

When Liz woke up in the morning, it was 6°F. By the late afternoon, the temperature had dropped 9°F.

Mathematics

1 answer:

Annette [7]3 years ago

5 0

Given:

Temperature in the morning = 6°F.

By the late afternoon, the temperature had dropped 9°F.

To find:

The temperature by the late afternoon.

Solution:

Temperature by the late afternoon = Morning temperature - Dropped temperature

Using the given values and the above formula, we get

Temperature by the late afternoon = 6°F - 9°F

Temperature by the late afternoon = -3°F

Therefore, the temperature by the late afternoon is -3°F.

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The price of a pair of shoes increases from $65 to $81. What is the percent increase to the

andriy [413]

Answer:

Percent increase = 25%

Step-by-step explanation:

Given that:

Old price of shoes = $65

New price of shoes = $81

Difference = 81 - 65

Difference = 16

Percent increase = $\frac{Difference}{Old\ price}*100$

Percent increase = $\frac{16}{65}*100$

Percent increase = 0.246 * 100

Percent increase = 24.6%

Rounding off to nearest whole number

Increase = 25%

Hence,

Percent increase = 25%

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3 years ago

A blueberry pie is shot out of a pie cannon from a height of 6m and with a velocity of 60 m/s. How many seconds will pass before

sveta [45]

Answer: 1.106 s

Step-by-step explanation:

This situation is related to projectile motion and one the equation that models the height of the blueberry pie in time is:

$y=y_{o}+V_{o}sin(\theta) t-\frac{1}{2}gt^{2}$

Where:

$y=0 m$ is the blueberry pie final height (when it hits the ground)

$y_{o}=6 m$ is the blueberry pie initial height

$V_{o}=60 m/s$ is the blueberry pie initial velocity

$\theta=0 \°$ is the angle, assuming the pie was shot horizontally

$t$ is the time

$g=9.8 m/s^{2}$ is the acceleration due gravity

Rewriting the equation:

$0=y_{o}-\frac{1}{2}gt^{2}$

Isolating $t$ :

$t=\sqrt{\frac{2y_{o}}{g}}$

$t=\sqrt{\frac{2(6 m)}{9.8 m/s^{2}}}$

Finally:

$t=1.106 s$

5 0

3 years ago

PLEASE HELP I WILL GIVE EXTRA POINTS AND BRAINALIST to the first person

kenny6666 [7]

Answer:

Step-by-step explanation:

The answer is A.

4 0

3 years ago

Find the inverse of h(x)=(2x-4)/3

Agata [3.3K]

Answer:

The inverse of the h(x) is $h^{-1}(x)=\frac{3x}{2}+2$ Step-by-step explanation:

Given : Expression $h(x)=\frac{2x-4}{3}$

To find : The inverse of the expression ?

Solution :

Expression $h(x)=\frac{2x-4}{3}$

Let, h(x)=y then $y=\frac{2x-4}{3}$

For inverse we replace the value of x and y and find the value of y in terms of x.

Replace the value of x and y,

$x=\frac{2y-4}{3}$

Solve for y by cross multiply,

$3x=2y-4$

Adding 4 both side,

$3x+4=2y$

Dividing by 2 both side,

$\frac{3x+4}{2}=y$

Therefore, The inverse of the h(x) is $h^{-1}(x)=\frac{3x}{2}+2$

5 0

3 years ago

Read 2 more answers

If f(x)=8-10x and g(x) =5x +4, what is the value of (fog)(-2)?

swat32

Answer:

Step-by-step explanation:

Any function is evaluated by putting the argument value where the variable is, then doing the arithmetic. When the argument is another function value, that function value is evaluated first.

The "o" in (fog) is a stand-in for the "ring operator" (∘) which is the operator used to signify a composition. A composition is evaluated right-to-left. That means (f∘g)(x) ≡ f(g(x)). The value of g(x) is found first, and is operated on by the function f.

Writing the composition in the form f(g(x)) lets you identify the layers of parentheses. As with any expression evaluation, the Order of Operations applies. It tells you to evaluate the expression in the innermost parentheses and work your way out.

To evaluate (f∘g)(-2) = f(g(-2)), we must first evaluate g(-2). That is ...

g(x) = 5x +4

g(-2) = 5(-2) +4 = -10 +4 = -6 . . . . . put -2 where x is, do the math

Now that we know g(-2) = -6, we know this expression is ...

f(-6) = 8 -10(-6) = 8 +60 = 68 . . . . . substitute for x in 8-10x

Then the value we're looking for is ...

(f∘g)(-2) = 68

8 0

2 years ago