The amount of money he earns is directly proportional to the number of hours he w The graph shows the amount of money, w dollars, he earns in t hours.
Find the constant of proportionality.
Answer: dollars per hour.
How much money does Jonathan earn after working 3 hours?
Answer:

Hi, there!

 ______

\(\begin{tabular}{c|1} \boldsymbol{Things \ to \ Consider} \\\cline{1-3} \end{tabular}\)

(1)

 - The slopes of parallel lines are identical.

{The line \(\sf{y=7x-1}\) has a slope of 7}

Thus,

{The slope of the line that is parallel to the aforementioned line (whatever its equation happens to be) is \(\sf{7}\).}

(2)

 - The slopes of perpendicular lines are negative inverses of each other.

The negative inverse of 7 is

\(-\dfrac{1}{7}\).

Therefore,

\(\textsc{Answers:\begin{cases} \bf{7} \\ \bf{-\dfrac{1}{7}} \end{cases}}\)

Hope the answer - and explanation - made sense,

happy studying!!                                                                 \(\tiny\boldsymbol{Frozen \ melody}\)

Answer:

y = x + 9/4     or     y = x + 2 1/4

Step-by-step explanation:

y - 4x = 9

y - x = 9/4 (divide both sides by 4)

y = x + 9/4 (Add x to both sides)

Based on the information, both ∧ (conjunction) and ∨ (disjunction) satisfy the commutative property.

It should be noted that to prove the commutativity of the logical connectives ∧ (conjunction) and ∨ (disjunction), we need to show that they satisfy the commutative property

From the truth table, both P ∧ Q and Q ∧ P have the same truth values for all combinations of truth values of P and Q. Therefore, we can conclude that P ∧ Q ≡ Q ∧ P, and ∧ (conjunction) is commutative.

In order to prove P ∨ Q ≡ Q ∨ P, we construct a truth table for both expressions. Both P ∨ Q and Q ∨ P have the same truth values for all combinations of truth values of P and Q. Therefore, we can conclude that P ∨ Q ≡ Q ∨ P, and ∨ (disjunction) is commutative.

Hence, both ∧ (conjunction) and ∨ (disjunction) satisfy the commutative property.

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The mixed fraction and fraction expression  1 ⁵/₆ - 3/4 in the simplest form will be 13/12.

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

The expression is given below.

⇒ 1 ⁵/₆ - 3/4

Convert the mixed fraction number into a fraction number. Then we have

⇒ 1 ⁵/₆ - 3/4

⇒ 11/6 - 3/4

⇒ (22 - 9) / 12

⇒ 13 / 12

The mixed fraction and fraction expression  1 ⁵/₆ - 3/4 in the simplest form will be 13/12.

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The equations y = -6x² + 1 and y = 3x² + 4 both have graphs that are wider than the graph of y = 5x² - 3.To determine which equation has a graph wider than the graph of y = 5x² - 3, we need to compare the coefficients of x² in each equation.

A wider graph indicates a smaller coefficient in front of x², which means the parabola will be less steep and have a broader shape.Let's compare the coefficients:y = 8x² - 10: The coefficient is 8, which is larger than 5. Therefore, this equation does not have a wider graph than y = 5x² - 3.

y = 5x² + 2: The coefficient is 5, which is equal to the coefficient in y = 5x² - 3. Therefore, the graphs of these two equations will have the same width.

y = -6x² + 1: The coefficient is -6, which is smaller than 5. Hence, this equation has a wider graph than y = 5x² - 3.

y = 3x² + 4: The coefficient is 3, which is smaller than 5. Hence, this equation also has a wider graph than y = 5x² - 3.

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Answer:

0.8989

Step-by-step explanation:

Using the Newton's Raphson approximation formula.

Xn+1 = Xn - f(Xn)/f'(Xn)

Given f(x) = x³-2x+2

f'(x) = 3x²-2

If the initial value X1 = 2

X2 = X1 - f(X1)/f'(X1)

X2 = 2 - f(2)/f'(2)

f(2) = 2³-2(2)+2

f(2) = 8-4+2

f(2) = 6

f'(2) = 3(2)²-2

f'(2) = 10

X2 = 2- 6/10

X2 = 14/10

X2 = 1.4

X3 = X2 - f(X2)/f'(X2)

X3 = 1.4 - f(1.4)/f'(1.4)

f(1.4) = 1.4³-2(1.4)+2

f(1.4) = 2.744-2.8+2

f(1.4) = 1.944

f'(1.4) = 3(1.4)²-2

f'(1.4) = 3.880

X3 = 1.4- 1.944/3.880

X3 = 1.4 - 0.5010

X3 = 0.8989

Hence the value of X3 is 0.8989

The amount (present value at age 60) that Sandro would neet in his retirement savings account in order to have a monthly income of $1,500 until he is 90 years old, compounded at 4.5% monthly is $296,041.74.

The present value is computed using an online fiance calculator that discounts the future withdrawals (monthly income) for a 360-months period.

End of withdrawal period = 90 years old

Beginning of withdrawal period = 60 years old

The number of years between 60 and 90 = 30 years

N (# of periods) = 360 months (30 years x 12)

I/Y (Interest per year) = 4.5%

PMT (Periodic Payment) = $-1,500

FV (Future Value) = $0

Results:

Present Value (PV) = $296,041.74

Sum of all periodic payments = $540,000 ($1,500 x 360 months)

Total Interest = $243,958.26

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Can you type what it says I can't see it that well.

i cant really see the question

Answer:

8

Step-by-step explanation:

plz me

Answer:

4+4=8

Step-by-step explanation:

.................

Answer:

4

Step-by-step explanation:

4² = 16

Answer:

$38,500

Step-by-step explanation:

350000 x .11 = 38500

This table shows the frequency of each number obtained after throwing the die 35 times

To prepare a frequency table based on the numbers obtained from throwing a die 35 times, we can list the numbers from 1 to 6 and count the frequency of each number.

Numbers: 1, 2, 3, 4, 5, 6

Frequency: 5, 14, 6, 4, 5, 1

Based on the given numbers, the frequency table would look like this:

Number   | Frequency

1                      5

2                     14

3                      6

4                      4

5                      5

6                       1

This table shows the frequency of each number obtained after throwing the die 35 times.

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93,101,109,117,125,133,141,149,157,165

Answer:

A

Step-by-step explanation:

Answer:

i think A is the answer

Step-by-step explanation:

5.5 is worth more than 5.05 is this is not what ur asking plz clarify :)

Answer:

9000

Step-by-step explanation:

Answer: 1- 26%

Step-by-step explanation:

just divide 100 by 100 and remove the % sign :)

We are given the following function which models the decline of a population.

The standard form of such a population decay function is given by

Where a is the initial population, b is the decay rate and x is the time period.

The decay rate is greater than 0 and less than 1

Comparing the given function with the standard form, we see that the decay rate is 0.9

In percentage, the decay rate is 90%

Therefore, the decay rate of the function is 90%

The difference in overall gain between selling stock A at the current day's high price or low price and selling stock B at the current day's high price or low price is $239.50.

To determine the difference in overall gain or loss between selling stock A at the current day's high price or low price and selling stock B at the current day's high price or low price, we need to calculate the selling prices of the stocks.

Stock A:

High price = $105.19

Low price = $103.25

Close price = $103.38

Stock B:

High price = $145.18

Low price = $143.28

Close price = $144.05

The investor purchased 50 shares of stock A at $90 per share and 75 shares of stock B at $145 per share.

To calculate the selling prices, we need to multiply the number of shares by the respective selling price.

Selling price of stock A at the high price: 50 shares \(\times\) $105.19 = $5,259.50

Selling price of stock A at the low price: 50 shares \(\times\) $103.25 = $5,162.50

Selling price of stock B at the high price: 75 shares \(\times\) $145.18 = $10,888.50

Selling price of stock B at the low price: 75 shares \(\times\) $143.28 = $10,746.00

Now, let's calculate the difference in overall gain or loss:

Difference in overall gain = Selling price at the high price - Selling price at the low price

= ($5,259.50 + $10,888.50) - ($5,162.50 + $10,746.00)

= $16,148.00 - $15,908.50

= $239.50

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Answer:

B

Step-by-step explanation:

a) The Area is 1776 square yards and Perimeter is 196 yards.

b) The field will be covered by artificial turf is given by Area.

c) Salma will walk around the field given by Perimeter.

Area is the entire amount of space occupied by a flat (2-D) surface or an object's shape. The area of a plane figure is the area that its perimeter encloses. The quantity of unit squares that cover a closed figure's surface is its area.

Given:

a) Area of Field = l x w

                      = 24 x 74

                      = 1776 square yards

Perimeter of field = 2(l + w)

                             = (24+ 74) x 2

                             = 98 x 2

                             = 196 yards

b) The field will be covered by artificial turf is given by Area.

c) Salma will walk around the field given by Perimeter.

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The Question attached here seems to be incomplete, the complete question is

The figure below shows a rectangular field. (a) Use the calculator to find the area and perimeter of the field. Make sure to include the correct units. Area: Perimeter: (b) The field will be covered by artificial turf. Which measure would be used in finding the amount of turf needed? Perimeter Area (c) Salma will walk around the field. Which measure would be used in finding how long it will take? Perimeter Area

y = 1.2x (option A)

Explanation:

the relationship of the price of tomatoes to the weight is proportional one.

A proportional relationship is in the form of y = kx

where k = constant of proportionality

our k here, is the rate of change of tomato price to the weight.

we can pick any two points to find the change

Using points: (weight, price) = (0, 0) and (10, 12)

Rate of change = change in price/change in weight

Rate of change = (12 - 0)/(10-0)

= 12/10 = 1.2

We insert the value of k in to the formula:

y = 1.2 × x = 1.2x

The function that best represents the relationship in the graph: y = 1.2x (option A)

The measure of the angles are:

∠1 = 90

∠2 = 90

∠3 = 132

We have,

The angle between the tangent and the radius of a circle is 90.

So,

∠1 = 90

∠2 = 90

And,

48 + 90 + 90 + ∠3 = 360 ______(1)

Solve for ∠3 from (1).

48 + 90 + 90 + ∠3 = 360

48 + 180 + ∠3 = 360

∠3 = 360 - 228

∠3 = 132

Thus,

The measure of the angles are:

∠1 = 90

∠2 = 90

∠3 = 132

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Answer: $151.20

Step-by-step explanation:  8 percent of 140. Add this number to 140.

\(\frac{x}{140} = \frac{8}{100}\)

100x=112

x=11.2

To simplify the expression (2x-3)(5x^2-2x+7), we can use the distributive property.

First, multiply 2x by each term inside the second parentheses:

2x * 5x^2 = 10x^3

2x * -2x = -4x^2

2x * 7 = 14x

Next, multiply -3 by each term inside the second parentheses:

-3 * 5x^2 = -15x^2

-3 * -2x = 6x

-3 * 7 = -21

Combine all the resulting terms:

10x^3 - 4x^2 + 14x - 15x^2 + 6x - 21

Now, combine like terms:

10x^3 - 19x^2 + 20x - 21

So, the simplified expression is 10x^3 - 19x^2 + 20x - 21.

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Answer:

x1= -1.29436   x2= 5.79436

Step-by-step explanation:

Answer:

f(x)=x+1 ok

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