Find the standard form of the equation

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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Given that ΔABC is similar to ΔDFE , the value of x = 5.83 (rounded off to hundredth place)

Comparing the given pair of similar triangles,

A ↔ D

B ↔ F

C ↔ E

Now since the ΔABC ~ ΔDFE, the ratio of their sides are equal.

=> [tex]\frac{FE}{BC} = \frac{DF}{CA}[/tex]            (by property of similarity of triangles)

=> [tex]\frac{x}{15} = \frac{7}{18}[/tex]               (substituting respective values)

=> x = 5.83              (simplifying the algebraic equation to hundredth place)

As per the property of similarity of triangles, the corresponding sides have fixed ratio. Thus the ratio of two sides of a triangle will be numerically equal to the ratio of two corresponding sides of its similar triangle. Moreover, the corresponding angles of two similar triangles are equal in measure.

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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

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=

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 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:

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:

We need to know about scientific notation to solve this problem. The number of seconds the playlist will play is 3.99 x 10^5.

Expressing a number in scientific notation means writing the number as a multiple of ten with ten raised to some power. We use scientific notation for numbers that are very small or very big. When writing numbers in scientific notation we always have one number other than zero before the decimal point. In this question we know that there are 1900 songs and each song has average time of 3.5 minutes, we need to convert the minutes into seconds and multiply the number of seconds of each song to 1900.

1 min=60 seconds

3.5 mins=3.5 x 60=210 seconds

210 x1900=399000 seconds

399000=3.99 x 10^5

Therefore the number of seconds that the playlist will play is 3.99x 10^5

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The correct cofunction identity for tan 0 is cot (90 ° - 0). Option E

The cofunction identities are defined as trigonometric functions elaborates the relationship between the trigonometric identities.

These trigonometric identities includes;

It is crucial to note that the value of a trigonometric function of any specific angle is equivalent to the value of the cofunction of their complementary identities.

The cofunction identities are represented thus;

sin θ = cos(90 - θ)

cos θ = sin(90 - θ)

cot θ = tan(90 - θ)

tan θ = cot(90 - θ)

csc θ = sec(90 - θ)

sec θ = csc(90 - θ)

For tan 0, we have that its cofunction identity is expressed as;tan 0 = cot (90 ° - 0)

Thus, the identity is cot (90 ° - 0)

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The correct cofunction identity for tan 0 is cot (90 ° - 0). Option E.

The cofunction identities are defined as trigonometric functions elaborates the relationship between the trigonometric identities.These trigonometric identities includes; sine,cosine, tangent, cotangent, secant cosecant.

It is crucial to note that the value of a trigonometric function of any specific angle is equivalent to the value of the cofunction of their complementary identities.The cofunction identities are represented thus;

For tan 0, we have that its cofunction identity is expressed as;tan 0 = cot (90 ° - 0)Thus, the identity is cot (90 ° - 0)

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Answer:

18 Shocks replacments and 0 Brakes

Step-by-step explanation:

if he did That he will make 7200$ a week

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

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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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

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: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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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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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 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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Applying the formula for the area of a rectangle, the  area of the shaded region is calculated as: 42 units².

A rectangle has two pairs of opposite sides that are of equal length, one pair is the length, while the other is the width.

The area of a rectangle = the product of its length and its width = (length)(width).

The area of the shaded region = area of the larger rectangle - area of the smaller rectangle

Dimensions of the larger rectangle:

Length of the larger rectangle = 10 + 2 = 12 units

Width of the larger rectangle = 9 + 2 = 11 units

Area of the larger rectangle = (12)(11) = 132 units²

Dimensions of the smaller rectangle:

Length of the smaller rectangle = 10 units

Width of the smaller rectangle = 9 units

Area of the smaller rectangle = (10)(9) = 90 units²

The  area of the shaded region = 132 - 90

The  area of the shaded region = 42 units²

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The converse statement is 'If an angle is not a right angles, then it is obtuse' True. Option A

The converse of a conditional statement is formed when the hypothesis and conclusion are both reversed.

In this case, the hypothesis is taken as the conclusion and the conclusion made the hypothesis.

The conditional statement is written as: a → b

The converse is written as b → a

Where;

Given that:

Original statement :Obtuse angles are not right angles

The converse statement : If an angle is not a right angles, then it is obtuse

We can see that the converse statement is true because an obtuse angle is an angle greater than 90 degrees.

Hence, the converse statement is true

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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 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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Let us find the third side of the right triangle using the Pythagora's theorem

The missing side is the opposite side because it is facing the angle

Answer:400.98 miles on one full tank

Step-by-step explanation:

you take 32.6 and multiply it by 12.3

We are spending $ 0.0263 less every Mello Yello can, therefore it is  the better buy.

What is profit and loss?
Subtract the smaller value from the greater value in order to calculate the profit or loss. The selling price is always higher than the cost price when there is a profit. Selling price minus cost price is profit. In a loss scenario, the cost price is higher than the selling price. Loss = Price Cost

Given,
20 cans of Mello Yello for $4.75
Therefore cost of 1 can of Mello Yello = $4.75 / 20 = $ 0.2375

Also given,
36 cans of Sprite for $9.50
Therefore, cost of 1 can of Sprite  = $9.50 / 36 = $ 0.2638
Therefore, per can we are paying $ 0.0263 less for Mello Yello.

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Complete Question:

Which is the better buy? Circle your answer (show supporting work)

20 cans of Mello Yello for $4.75

36 cans of Sprite for $9.50

Answer:

True

Step-by-step explanation:

In 1 h, the level in the pond increases 1 ft. One way to find how many feet the level increases in 30 min is to multiply One way to find how many inches the level increases in 2- h is to multiply 2. 2 of 5 Completed

Answer:

True

Step-by-step explanation:

In 1 h, the level in the pond increases 1 ft. One way to find how many feet the level increases in 30 min is to multiply One way to find how many inches the level increases in 2- h is to multiply 2. 2 of 5 Completed so that is ture

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

a )  P = { a , n , c , d }

b ) {4 , 7} ⊆ { 4,7,8,12}

c ) {0,1} ⊄ { 1,4,5,6}

are the equations is mathematical symbols

Subsets are a component of the mathematical concept of sets. A set is anything that is contained in curly brackets, as "a,b,c,d." If set B includes the numbers 2, 4, and 6, it is said to be a subset of set A, and if set A is a collection of even integers, it is said to be the superset of set B.

a )  P = { a , n , c , d }

b ) {4 , 7} ⊆ { 4,7,8,12}

c ) {0,1} ⊄ { 1,4,5,6}

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