What does difference of squares mean? How can you recognize it when looking at an expression?

Answer:

a=12

Step-by-step explanation:

We must use SOH, CAH, TOA

SOH= Sin0=opp/hyp

CAH=Cos0=adj/hyp

TOA= Tan0=opp/adj

Since we have opposite and hypotenuse we use Sin ratio, in this case,

sin30°= [tex]\frac{a}{24}[/tex]

[tex]\frac{1}{2}[/tex]=[tex]\frac{a}{24}[/tex] we cross multiply

[tex]\frac{2a}{2}[/tex]=[tex]\frac{24}{2}[/tex]divide both sides by 2 to get a by itself

a=12

Answer:

a = 12

Step-by-step explanation:

To find a, we will use the trigonometric ratio of Sin, since the opposite side of the angle given needs to be found out and the hypotenuse is given;

Sin(30) = [tex]\frac{a}{24}[/tex]

Sin(30) * 24 = a

12 = a

Hope this helps!

The equivalent of the complex number expression is [tex]\sqrt{60i - 11}[/tex] is 2 + 15i

The complex number expression is given as:

[tex]\sqrt{60i - 11}[/tex]

Rewrite as:

[tex]a + bi = \sqrt{60i - 11}[/tex]

Take the square of both sides

[tex]a^2 + 2abi - b = 60i - 11[/tex]

By comparison, we have:

a^2 - b = -11

2ab = 60

Divide both sides by 2

ab = 30

Using a graphical tool, we have:

a = 2,b = 15

So, we have:

a + bi = 2 + 15i

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Answer:

Step-by-step explanation:

uy

According to the above we can establish that based on the given statistics, the average household paid approximately $97.52 per year in federal gasoline taxes.

To calculate how much the average household paid per year in federal gasoline taxes, we can use the following steps:

Determine the total number of gallons of gasoline consumed by the average household per year:

Calculate the total amount paid in federal gasoline taxes per year:

According to the above we can establish that based on the given statistics, the average household paid approximately $97.52 per year in federal gasoline taxes.

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Answer:

x = 14

Step-by-step explanation:

arc JL = 180° ( JL is a diameter ), then

arc KL = 180° - 31° = 149° , so

9x + 23 = 149 ( subtract 23 from both sides )

9x = 126 ( divide both sides by 9 )

x = 14

Answer:

X=14

Step-by-step explanation:

360-31-31=298

298/2=149

149-23=126

126/9=14

After answering the question provided, we can predict that the result will be as by equation As a result, the correct response is: Minimum: 41.64; Maximum: 62.76.

A mathematical equation is a process that links two statements and indicates equality using the equals sign (=). A mathematical statement that proves the equality of two mathematical expressions is known as an equation in algebra. For instance, the equal sign separates the numbers 3x + 5 and 14 in the equation 3x + 5 = 14. A mathematical formula may be used to understand the link between the two sentences that are written on opposite sides of a letter. Frequently, the logo and the particular software are identical. like in 2x - 4 = 2, for example.

A binomial distribution with the specified values of n and p has a mean of = np and a standard deviation of = sqrt(np(1-p)).

Inputting n = 261 and p = 1/5 results in:

μ = np = 261 × 1/5 = 52.2

5.28 is equal to sqrt(np(1-p)) = sqrt(261 1/5 4/5)

Calculating the minimal typical value of 2 is as follows:

μ − 2σ = 52.2 − 2 × 5.28 ≈ 41.64

The calculation for the maximum typical value + 2 is as follows:

μ + 2σ = 52.2 + 2 × 5.28 ≈ 62.76

These values are rounded to the nearest hundredth, giving us:

The range is 41.64 to 62.76.

As a result, the correct response is: Minimum: 41.64; Maximum: 62.76.

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Answer:

Minimum: 39.28; maximum: 65.12

Answer:

2400 in^3

Step-by-step explanation:

Tyler asks for a fish tank for his birthday. The task he wants is a rectangular prism 20 inches long, 10 inches wide, and 12 inches tall. How much water will the fish tank hold?

the capacity of the tank can be determined by calculating the volume of the tank

volume of a prism = length x width x height

20 x 10 x 12 = 2400 in^3

Answer:

y=-5/4x-4.

Step-by-step explanation:

parallel lines have to have the same slope so they don't intersect each other

original equation with the same slope and rewrite it using point slope form:

y-y1=-5/4(x-x1) now Substitute the point(-4,1)

y-1=-5/4(x-(-4))

y-1=-5/4(x+4)

Now we can distribute the -5/4 and add 1 to the right to get our final slope-intercept form:

y-1=-5/4x-5

y=-5/4x-4.

The parallel line of y=-5/4x+7 that passes through point (-4,1) is y=-5/4x-4.

Answer: y=-5/4x-4.

Step-by-step explanation:

Answer:

19

Step-by-step explanation:

4(4)+3=19

Hello~

The answer is

-8884

Brainliest please!

Ary~

Step-by-step explanation:

[tex]600 - 9484 \\ = - 8884[/tex]

[tex]\circ \: \: { \underline{ \boxed{ \sf{ \color{green}{Happy\:learning.}}}}}∘[/tex]

Answer:

Scale Factor

Step-by-step explanation:

Sorry if im wrong. I just kinda tried :p

Answer:

Step-by-step explanation:

38 or 37.7 when not rounded

hope this helps

Answer:

A

Step-by-step explanation:

Since she's not spending more than $32, the equation is 2h + 8 ≤ 32.

Isolate h to find the maximum number of hours she can rent the boat:

2h + 8 ≤ 32

First, subtract 8 from both sides.

2h ≤ 16

Then divide both sides by 2.

h ≤ 8

h, the number of hours, must be less than or equal to 8, so 8 is the maximum number of hours Bernice can rent the boat for.

Answer:

(2, -3), (3, -3)

Step-by-step explanation:

y = x^2 - 5x + 3

y = -3

x^2 - 5x + 3 = -3

x^2 - 5x + 6 = 0

(x - 3)(x - 2) = 0

x - 3 = 0 or x - 2 = 0

x = 3 or x = 2

We are given y = -3.

Answer: (2, -3), (3, -3)

Answer:

(2, -3) , (3, -3)

Step-by-step explanation:

One is asked to find what values of the parameter (x) will yield the result (f(x)=-3) if the function (f(x)) is the following,

[tex]f(x)=x^2-5x+3[/tex]

Set this equation up, and solve to find the value of (x) that satisfies this requirement:

[tex]f(x)=x^2-5x+3=-3[/tex]

Inverse operations,

[tex]x^2-5x+6=0[/tex]

Factor, rewrite the quadratic equation as the product of two linear equations,

[tex](x-2)(x-3)=0[/tex]

Therefore the solutions are the following, the (x-coordinate) represents the input, and the (y-coordinate) represents the output.

(2, -3), (3, -3)

Answer:

Step-by-step explanation:

9514 1404 393

Answer:

  (b)  g, h, f

Step-by-step explanation:

The larger the magnitude of the vertical scale factor, the quicker the graph takes on higher values. That makes its appearance narrower.

Here, you want to list the functions in decreasing order of vertical scale factor:

  g(x) . . . scale factor 4

  h(x) . . . scale factor 2

  f(x) . . . scale factor 1/3

Answer:

Hundredth? Hundredth is for decimals. If you meant to the nearest Hundred, then it's 100.

Step-by-step explanation:

If you actually meant hundredths though, then it would be 75, because 75 doesn't have any decimals

Answer:

Step-by-step explanation:

The lines are making 90° with each other.

Correct choice is C

Answer:

22

Step-by-step explanation:

Answer:

Step-by-step explanation:

I think it’s b…

Answer:

149cm^2

Step-by-step explanation:

big brain

Answer:

114cm²

Step-by-step explanation:

Okay, so you can split this thingy up into a rectangle and another rectangle, so that's what we're going to do (see pic below)

So now we take off that 7 from the 13:

13 - 7 = 6

So now we find the area of that little area:

6 x 5 = 30

Now we do the other rectangle:

12 x 7 = 84

Now we add them together:

84 + 30 = 114

So the area of the shape is 114cm²

hope this helps:)

Answer:

270cm squared

area of shaded part rectangle is 180

are of triangle is 48 and 42 respectively you add the three to get 270

Answer:

Step-by-step explanation:

(2x^2-x)+(x^2+3x-1)

2x^2-x+x^2+3x-1

x^2+3x-1

5x^2+2x-1+(4x^2-x+2)

5x^2+2x-1+4x^2+x-2

9x^2+6x-3

(3x^2+2x+1)+(x^2-1)

3x^2+2x+1+x^2-1

4x^2+2x

-x^2-1+(4x^2-x)

-x^2-1+4x^2-x

3x^2-1-x

Answer:

x = 1.99359

Step-by-step explanation:

Answer: x  ≈  −  1.99825808  ,  1.99359054

Step-by-step explanation: