I need help with question #17. This a homework question!

The rate of change is 65 miles per hour

Given the ordered pairs (1, 65) and (2, 130)

The rate of change is given as:

The rate of change is 65 miles per hour

Answer:

the bread bakes for 45 minutes (yum)

SOLUTION

Now the ground is assumed to be 0, so we have that

So, that means we have

Now, we have found t, which is how long it takes to get to the ground, you can plug it into x(t) to find the horizontal distance travelled, we have

Hence it takes her 2.5 seconds to reach the ground

And she is 20 feet away from the cliff

Given the functions:

f(x)=1/4x+5

g(x)=4x-20​

The functions g and f are said to commute with each other if g ∘ f = f ∘ g.

Let's check the functions if they are commutative.

a.) f ∘ g = f(g(x))

b.) g ∘ f = g(f(x))

Conclusion:

g ∘ f = f ∘ g

Therefore, the functions are commutative.

Answer: f(h) = (2 pi (5x + 2)^2)

Step-by-step explanation:

1) Set the area of the circle in an equation

f(h) = pi r ^2

2) Set r to the rate that the circle is growing

The rate is 5x +2 because its starting value is two, and the 5x because it is growing 5 inches per hour.

f(h) = (2 pi (5x + 2)^2)

we have

f(x)

and

g(x)=-2f(x)+5

so

step 1

First transformation

Reflection about the x-axis

so

f(x) -----> -f(x)

step 2

Second transformation

A vertical dilation with a scale factor of 2

so

-f(x) ------> -2f(x)

step 3

Third transformation

A translation of 5 units up

so

-2f(x) -------> -2f(x)+5

The correct representation of statement ''The shape is a rhombus if and only if the diagonals are perpendicular and the sides are congruent'' will be;

⇒ p ↔ (q ∧ r).

What is Logic operators?

A symbol or words to use to connect two or more expressions are called Logic operators.

Given that;

The statement is,

''The shape is a rhombus if and only if the diagonals are perpendicular and the sides are congruent''

Now,

Since, The word ''if and only if'' is represent by using the biconditional logic operator (↔) and the word ''and'' is represented by using the logical conjunction operator (∧).

So, The logic representation of the statement;

"The shape is a rhombus if and only if the diagonals are perpendicular and the sides are congruent” will be;

⇒ p ↔ (q ∧ r).

Thus, The correct representation of statement ''The shape is a rhombus if and only if the diagonals are perpendicular and the sides are congruent'' will be;

⇒ p ↔ (q ∧ r).

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Answer:

1500$

Step-by-step explanation:

Answer: -1500

Step-by-step explanation: yes it is

Given data,

For the greatest sum,

We need to add the two large number.

Thus,

For the greatest difference, we need to substract the largest number from the smallest,

Thus,

To find the greatest product,

we should multiply the two great numbers.

To find the greatest quotient,

we need to divide the largerst number by the smallest

The equation of the line by using slope value is: y = x -9

What is slope of a line?

The slope of a line explain the steepness of the line segment. It is ration of the coordinates of the y-axis and the vertical coordinates of the x-axis. Depending upon the slope value, it is classified as whether lines are parallel or perpendicular.

According to the question, the given parameters for the line segment is as written below:

Equation of a line = x + 2 and the coordinate points = (6, -3): (x = 6; y = -3)

Now, by using standard equation for the line segment: y = mx + c

where, 'm' is the slope; c is the y-intercept; (x, y) are coordinates

Substituting given values that is slope and y-intercept in the standard equation, we get:

y = mx + c

⇒ -3 = (1)(6) + c

⇒ c = -3 - 6 = -9

Therefore, the value of the y-intercept is: c = (-9)

equation of the line by substituting the value of the y-intercept as well as slope value:

y = (1)x + (-9) = y = x -9

Hence, the equation of the line by using slope value is: y = x -9

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Given:

A table is on sale for 38% off, The sale price of table is $527.00.

To find:

The regular price of the table.

Step by step solution:

To solve this problem, we need to use the basic formula of sales price and discount:

Sale price = $527.00

Discount percentage= 38%

From here we can say that the Cost-price / Regular price of the table is equal to $850.

The linear function that passes through the two points (-6, -2) and (-9, -1) is defined by the rule:

y = -(1/3)*x - 4

The general linear function in the slope-intercept form:

y = m*x + k

Where m is the slope (also called rate of change) and k is the intercept of the y-axis.

If we know that the line passes through two points (a, b) and (c, d) then the slope of the function is:

m = (d - b)/(c - a)

So with only two points, we can find the slope.

In this case, the line passes through the points  (-6, -2) and (-9, -1) , then the slope is:

m = (-1 +2)/(-9 + 6) = 1/-3 = -1/3

Then the slope is m = -1/3

So the linear function is something like:

y = (-1/3)*x + k

To find the value of k i will use the pint (-9, -1), replacing these values we get:

-1 = -(1/3)*-9 + k

-1 = 3 + k

-1 - 3 = k

-4 = k

So the linear function that passes through these points is:

y = -(1/3)*x - 4

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For this question, we use the following formula for compounded interest:

Solving for a we get:

    Equivalent fractions are those that, despite their visual differences, reflect the same value. For instance, if you take a cake and cut it into two equal pieces, you will have consumed half of the cake.

          When two fractions are expressed in their simplest form, they are said to be equivalent. When broken down into its simplest components, the fraction 26/28 equals 13/14. You only need to multiply the numerator and denominator of the reduced fraction (13/14) by the same natural number, i.e., multiply by 2, 3, 4, 5, 6 to get analogous fractions.

    In decimal form, 13/14 is 0.92857142857143.

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Given:

Answer:

24° , 72° , 84°

Step-by-step explanation:

sum the 3 angles and equate to 180 , that is

x + x + 12 + x - 48 = 180

3x - 36 = 180 ( add 36 to both sides )

3x = 216 ( divide both sides by 3 )

x = 72

Then the measure of the 3 angles are

x = 72°

x + 12 = 72 + 12 = 84°

x - 48 = 72 - 48 = 24°

Answer: D

Step-by-step explanation:

0.92 metres =   1 yard

 40 metres  = 43.5 yard [tex](\frac{40 * 1}{0.92})[/tex]

  5 yards   :  3 minutes

43.5 yards :  26.1 minutes [tex](\frac{43.5*3}{5})[/tex]

26.1 mins ≈ 26 mins

We can calculate how much she get for 1/7 of a day by multiplying the daily pay rate by 1/7:

Answer: Ariel will earn $5 for 1/7 of the day.

Answer:

To find: After how many months of saving do Sam and Frank have the same amount in their accounts and how much do they have in their accounts at this time

From the graph,

x axis represents number of months,

axis represents Amount saved.

The red graph represents the amount saved by Sam over the number of months

The blue graph represents the amount saved by Frank over the number of months

To find the intersection point of the two graphs.

The intersection point is (4,80)

After 4 months Sam and Frank saved $80.

Hence we get that,

After 4 months, Sam and Frank have the same amount in their accounts. They have $80 in their accounts.

Answer is: After 4 months, Sam and Frank have the same amount in their accounts. They have $80 in their accounts.

Using the average rate of change, it is found that:

A. The average population decline between 1984 and 2018 was of 2.25 thousand deer a year.

B. The population would have reached 225 thousand deer between 2017 and 2018.

C.

The rates are as follows:

Meaning that between 1994 and 2004 there was a increase in the population of deer, and from 2004 to 2014 there was a decrease.

The average rate of change of a function is given by the change in the output divided by the change in the input. Hence, over an interval [a,b], the rate is given as follows:

[tex]r = \frac{f(b) - f(a)}{b - a}[/tex]

For 1984 and 2018, we have that:

Hence the rate is:

r = (173.50 - 250)/(2018 - 1984) = -2.25 thousand deer a year.

For item b, the situation is modeled by a linear function, as follows:

D(t) = 230.50 - 1.45t.

The population would be of 225 thousand deer when D(t) = 225, hence:

230.50 - 1.45t = 225

1.45t = 5.5

t = 5.5/1.45

t = 3.79.

Hence between the years of 2017 and 2018.

For item c, the rates are as follows:

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ANSWER

$63.13

EXPLANATION

We have that the cost of the boat is $50.

Each of you and your friends (that is four of you) will pay for a soft drink that cost $2.39 each.

The cost of the soft drinks will therefore be:

4 * 2.39 = $9.56

Adding the cost of the boat, total cost will be:

$9.56 + $50 = $59.56

Now, we have to add a tax of 6%, so we find 6% of total cost:

Finally, add the tax to the cost:

$59.56 + $3.57

= $63.13

You pay a total of $63.13 (including tax)

The total points Christina made is as follows:

Then, Christina scored 22 points.

Let X be the number, then we know that

If we isolate X by moving 10 to the right hand side, we obtain

that is, the answer is 30,000

Answer:

[tex]58.29[/tex] cm

Step-by-step explanation:

So the area of a trapezium follows this equation/formula:  [tex]\frac{a+b}{2} h[/tex]

So we pretty much just substitute the numbers given into this equation

[tex]\frac{a+b}{2} h[/tex]

[tex](\frac{7+10.4}{2} )6.7[/tex]

[tex](\frac{17.4}{2} )6.7[/tex]

[tex](8.7) 6.7[/tex]

[tex]58.29[/tex] cm

Vertical asymptotes are when the denominator is 0 but the numerator isn't 0.

[tex]x-36=0 \implies x=36[/tex]

Since this value of x does not make the numerator equal to 0, the vertical asymptote is [tex]x=36[/tex].

Horizontal asymptotes are the limits as [tex]x \to \pm \infty[/tex].

[tex]\lim_{x \to \infty} \frac{6x}{x-36}=\lim_{x \to \infty}=\frac{6}{1-\frac{36}{x}}=6\\\\\lim_{x \to -\infty} \frac{6x}{x-36}=\lim_{x \to -\infty}=\frac{6}{1-\frac{36}{x}}=6\\\\[/tex]

So, the horizontal asymptote is [tex]y=6[/tex].

End behavior:

You have the following expression:

(37) + (-2) + (-65) + (-8)​

eliminate parenthesis with the required change of signs:

37 - 2 - 65 - 8

sum negative numbers

37 - 75

simplify: rest the numbers and put the sign of the higher number:

-38

Then, you have:

(37) + (-2) + (-65) + (-8)​ = -38

√54²-43.8² +2(7)

54-1918.44+14

-1850.44

Part N 1

Apply property of log

so

the answer is false

Part N 2

we have

applying property of log

so

the answer is false

Part N 3

we have

log1000=3

so

log1000-2=3-2=1

10^1=10 -----> is true

A package of 3 pairs of insulated socks costs $15.87, thus the unit price of the pair of socks can be calculated as $5.29 via the unitary method.

A unit price is the cost of a single object or unit of measurement, such as a pound, a kilogram, or a pint, and it is used to compare the prices of similar products offered in various weights and quantities.

Selling more than one unit of the same product at a discount from its unit price is known as multiple pricing.

A price stated in terms of a certain amount per predetermined or standard unit of good or service agreed to purchase the gravel for 50 cents per yard.

Frequently a price that is quoted that includes both the base unit of the good or service and any additional costs (such as shipment or installation).

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Given

Find

Compute the value of mod

Explanation

We have given

as we can rewrite it

here , we see dividend , a = 2187 and divisor , b = 7

we know ,

where int is a integer part of the value .

so ,

2187 mod 7 = 2187 -(Int (2187/7)*7)

2187 mod 7 = 2187 - 312 *7

2187 mod 7 = 2187 - 2184

2187 mod 7 = 3

Final Answer

Therefore , the value of 3^7 mod 7 = 3