D) Simplify the expression.
7/12- 11/12 + 5/12=

ANSWER

EXPLANATION

addox has $100.

He plans to spend $20 each time he goes to the movies.

To find out how many times he can go to the movies,

Answer:6 liters of red paint

Step-by-step explanation:

Calculate the first two terms: 34÷6

Calculate the first two terms: 6

Answer:6

Answer:

Step-by-step explanation:

Let f be the number of french fries in the lunch

Let c be the number of chicken wings.

Then, if Leila wants her child to eat less than 600 calories and each french fry has 25 calories and each chicken wing has 100 calories. The linear inequality that represents this situation:

Answer: 79.2

Step-by-step explanation: if you take -8.8 x -9 take out the negative completely because we are multiplying 2 negatives you never have to worry about the them. 8.8 x 9 = 79.2

side note: + x + = +   - x - = +   - x + = -   + x - = -

The value of the function f(g(2)) is 255.

The two function given is f(x) = 4x^2 - 1 and g(x) = 3x + 2

We have to find the value of the function f(g(2)).

First we will find the function f(g(x))

f(g(x)) = f(3x+ 2)

         =4[tex](3x +2)^{2}[/tex] - 1

         = 4( 9[tex]x^{2}[/tex] + 12x + 4) - 1

         = 36x² + 48x + 16 - 1

         = 36x² + 48x + 15

Now we have to find f(g(2)) for which we have to put the value of x as 2.

f(g(2)) = 36(2)² + 48 (2) + 15

          = 36× 4 + 48 ×2 + 15

         = 144 + 96 + 15

         = 255

Therefore the value of the function f(g(2)) is 255.

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The share base on the ratio are as follows:

A ratio compares values. A ratio says how much of one thing there is compared to another thing.

Therefore, lets use the ratios to share the items.

Share £20 pounds in the ratio 2:3

2 / 5 × 20 = 40 / 5 = 8

Therefore, the share is £8 to £12

Share 15cm in the ratio 1:2

1 / 3 × 15 = 15 / 3 = 5 cm

Therefore, the share is 5 cm to 10 cm

Divide £24 in the ratio 1:3

1 / 4 × 24 = 24 / 4 = 6

Therefore, the share is £6 to £18

Share 35 sweets in the ratio 4:3

4 / 7 × 35 = 20 sweets

Therefore, the share is 20 sweet to 15 sweet.

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Answer:

see explanation

Step-by-step explanation:

(a)

the angles shown are alternate interior angles and are congruent

(c)

since they are congruent , then

- 1 + 8x = 7x + 11 ( subtract 7x from both sides )

- 1 + x = 11 ( add 1 to both sides )

x = 12

(d)

then

7x + 11 = 7(12) + 11 = 84 + 11 = 95

- 1 + 8x = - 1 + 8(12) = - 1 + 96 = 95

[tex]~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$3000\\ r=rate\to 6\%\to \frac{6}{100}\dotfill &0.06\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{monthly, thus twelve} \end{array}\dotfill &12\\ t=years\dotfill &20 \end{cases} \\\\\\ A=3000\left(1+\frac{0.06}{12}\right)^{12\cdot 20} \implies A=3000(1.005)^{240}\implies A \approx 9930.61[/tex]

Answer:

Explanation:

iven the function:

The most appropriate choice for simplification of algebraic expression will be given by -

-92w -17 is the correct answer

What is simplification of algebraic expression?

At first it is important to know about algebraic expression. Algebraic expression consist of numbers and variable connected by addition, subtraction, multiplication, division.

Simplification of algebraic expression is the process of calculating the algebraic expression into lower form by combining all the like terms together. Here, BODMAS rule is used. B stands for bracket, O stands for of, D stands for division, M stands for multiplication, A stands for addition, S stands for subtraction.

3w - 4 - w - 93w - 4 -w - 9

3w - w - 93w -w -4 - 4 - 9

-92w -17

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A graph which represents the number of outfits and shoes that Alejandra can pack while staying under the weight limit is shown in the image attached below.

A graph can be defined as a type of chart that's commonly used to graphically represent data on both the horizontal and vertical lines of a cartesian coordinate, which are the x-axis and y-axis.

In this scenario, the x-axis represents the number of outfits while the y-axis represents the number of shoes. Additionally, since one pair of shoes weighs three (3) pounds and one outfit weighs two (2) pounds, the x and y coordinates would be given by this inequality:

2x + 3y < 30

Making y the subject of formula, we have:

3y < -2x + 30

Dividing all through by 3, we have:

3y/3 < -2x/3 + 30/3

y < -2x/3 + 10

Note: For 30 pounds, there would be 10 shoes (0, 10) while for 30 pounds, there would be 15 outfits (15, 0).

In conclusion, the boundary line is dashed or dotted to indicate that the boundary is not part of the solution because the inequality symbol is less than (<).

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The distance between line y= -x-3 and the point (2,5) is  5√2units.

The distance(d) between the line ax+by+c=0 and point (x₁,y₁) is calculated using the formula

d= |ax₁+by₁+c|/√a²+b² , where a and b are the coefficients of x and y .

In the question ,

the equation of the line ℓ is given by y = -x-3

rewriting the equation in standard form  x+y+3=0

So the distance between the line x+y+3 and the point (2,5) can be calculated by substituting the values in the formula, we get

d=|1(2)+1(5)+3|/√1²+1²

= |2+5+3|/√2

= 10/√2

Simplifying further , we get

= 5√2

Therefore , the distance between line y= -x-3 and the point (2,5) is 5√2 units.

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Answer: sqrt{3} over 2, this also equivalent to 0.866025

A) The probability that the Aerospace Company wins both contracts is 29.04%.

B) The probability that the Aerospace Company loses both contracts is 70.96%.

C) The probability that the Aerospace Company wins only one contract is 23.76%.

Probability describes the chance or likelihood of an expected event occurring out of many outcomes.

Probability is a ratio of an outcome versus many possible events.

Probability is represented as a percentage, fraction, or decimal, like a ratio.

The probability of winning the first contract = 44%

The probability of losing the first contract = 56% (1 - 44%)

The probability of winning the first and the second contract = 66%

The probability of losing the first and the second contract = 34% (1 - 66%)

The probability of losing the first contract and winning the second = 54%

A) The probability that they win both contracts = the probability of winning the first contract multiplied by the probability of winning the second contract.

= 29.04% (44% x 66%)

B) The probability that they lose both contracts = 1 minus the probability of winning both contracts.

= 70.96% (1 - 29.04%)

C) The probability that they win only one contract = the probability of winning the first contract multiplied by the probability of winning only the second contract.

= 23.76% (44% x 54%)

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The maximum height reached by the ball in discuss as described is; 96 while the time spent by the ball in the air is; 0 seconds.

It follows from the task content that the maximum height of the ball in the air is to be determined and so.is the time spent by the ball in the air.

Therefore, since the correct form of the function given is;

h(t) = -16t² + 96

By expressing the function above in vertex form; it follows that we have;

h(t) = -16 (t - 0)² + 96.

This vertex form function above therefore translates to the fact that the point, (0, 96) represents the vertex of the balls motion curve.

Ultimately, the maximum height reached by the ball is; 96 and the time it takes to reach this height is; 0 seconds.

PS; The scenario above in real life situation would translate to dropping a ball from the top.

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Answer:234534 pounds greater

Step-by-step explanation: 230,99987389x7=76

Taub bought 4.75 pounds of chicken thighs at the neighborhood grocery.

A proportion can be defined as an equation which is typically used to represent (indicate) the equality of two (2) ratios. This ultimately implies that, proportions can be used to establish that two (2) ratios are equivalent and solve for all unknown quantities.

By applying direct proportion, we have:

0.5 pounds of chicken thighs = 3.14 dollars

X pounds of chicken thighs = 29.83 dollars

Cross-multiplying, we have:

3.14X = 0.5 × 29.83

3.14X = 14.915

X = 14.915/3.14

X = 4.75 pounds of chicken thighs.

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Answer:

width = 11 and length = 15

Step-by-step explanation:

→ Find algebraic length and width

width = x ∴ length = x + 4

→ Find area

x ( x + 4 ) = x² + 4x

→ Equate to area

x² + 4x = 165

→ Solve

x = 11

→ Find length and width

width = 11 and length = 15

Step-by-step explanation:

A fraction is in simplest form when the top and bottom cannot be any smaller, while still being whole numbers. To simplify a fraction: divide the top and bottom by the greatest number that will divide both numbers exactly.

I hope this helps.

Step-by-step explanation:

8/3

8-3=6

6/3

6-3=

The function that represents the dotted line of the graph using transformation rules is; f(x - 1) - 4.

For the function f(x) of the given graph,  when we look at the solid line, we see that it has a root at x = -1 which means it has a zero at x = -1.

However, when observing the dashed line, we see that it has a root at x = 0 which means it has a zero at x = 0.

Thus, we can  deduce from transformation rules that the function was moved by 1 unit to the right to get the new function.

Secondly, we observe that the dashed line is also below the function f(x), and we observe further that 4 was subtracted. Therefore, when we use the transformation rules again for subtracting from a function, we get the final function as; f(x - 1) - 4.

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Answer: 14s + 14

Step-by-step explanation:

- multiply in the 2 to the 7 and 4

              14s + 8 +6

- add 8 + 6

              14s + 14

Answer:

14s+14

Step-by-step explanation:

2(7s+4)+6

Simplify each term.

Apply the distributive property.

2(7s)+2x4 + 6

Multiply 7 by 2

14s +2 x 4 + 6

Multiply 2 by 4

14s + 8 + 6

Add 8 and 6

14+44

Answer:

[tex]9x - 12x \leqslant 9[/tex]

[tex] - 3x \leqslant 9[/tex]

[tex]x \geqslant - 3[/tex]

The inequality sign must be reversed when multiplying or dividing each side of an inequality by a negative number.

Answer:

18 Shocks replacments and 0 Brakes

Step-by-step explanation:

if he did That he will make 7200$ a week

ANSWER:

STEP-BY-STEP EXPLANATION:

We have that the given expression is the following:

The other expression is the following:

We simplify in each case:

This means that the expressions are equal

Quadratic function is  3(x+3)(x-2) given the roots ( -3, 0 ) and ( 2, 0 ) and the point ( 1, -12 ).

In algebra, a polynomial function with one or more variables in which the highest-degree term is of the second degree is known as a quadratic function, a quadratic polynomial, a polynomial of degree 2, or simply a quadratic.

Standard form, vertex form, and intercept form are three alternative ways a quadratic function can be expressed. The basic forms of each of them are as follows:

f(x) = ax² + bx + c in standard form, where a 0.

Vertex form: (h, k) is the vertex of the parabola representing the quadratic function, and f(x) = a(x - h)² + k is the equation.

The quadratic function's x-intercepts are (p, 0) and (q, 0), and its intercept form is f(x) = a(x - p)(x - q), where a 0.

Given Data

Roots (-3,0) and (2,0)

Point (1,-12)

y = a(x-(-3) (x-2)

y = a(x+3)(x-2)

Equating points

-12 = a(1+3)(1-2)

-12 = a(4)(-1)

-12 = -4a

a = 3

f(x) = 3(x+3)(x-2)

Function is  3(x+3)(x-2).

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The positive integer represents an addition to the income while.a negative integer represents a subtraction.

Positive integers are used to represent income since they indicate an increase rather than a decrease in the financial value of the company. In other words, cash is coming in rather than leaving. A positive number 10 is used as an example to illustrate an increase in operating revenue when there is profit on items sold, say $10.

When you express an expense with a negative number, you're actually subtracting money value rather than adding it. In other words, money is leaving the company rather than being brought in. For instance, when a transportation expense is incurred to deliver items to the customer, it is recorded as an expense deducted from, let's say, the business' revenue sales. Since they are already identified and recognized as expenses and deducted nonetheless, they are typically shown in brackets in accounting to signify negative worth.

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If each of the 4 sloping side ahs length 10 cm

This implies they have length 40 cm altogether

To find the base length, simply subract the 40 cm from the total length of 68cm

68 - 40 = 28

each base length = 28/4 = 7cm

Area of the square base is = l x l = 7 x 7 = 49 cm²

Since supplementary angles are two angles with a sum of 180°, then the supplement of ∠WTV is the angle ∠WTZ. Therefore, the answer is the option C.

The product of (b-na)(4b+9na) is 4b² + 5abn - 9a²n².

Algebraic expressions can be multiplied using the following procedures. You can start by calculating the algebraic sum of the like and unlike terms, multiplying the term coefficients, and adding the variable powers with the same base.

Given:

To find the product of (b-na)(4b+9na).

To determine the product, multiply each term of the first expression by each term of the second expression.

(b-na)(4b+9na)

= 4b² + 9abn - 4abn - 9a²n²

= 4b² + 5abn - 9a²n²

Therefore the product of (b-na)(4b+9na) is 4b² + 5abn - 9a²n².

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Let's begin by identifying key information given to us:

Height = 50 m

velocity = 4m/s

The input variable is the number of seconds

The output variable is the theight of the ballon

The equation:

Therefore, the rate of change equals 4