Multiply (6+3i)(3+i)

Answer:

1. $670

2.$920

3.$1500

4.$2100

Step-by-step explanation:

Hope it was fast enough & helpful .

Good luck ^^

Answer:

The "middle" term is 11x.

Step-by-step explanation:

(3x + 5)(4x - 3)

Solve this by using FOIL: first – outer – inner – last

F: 3x • 4x = 12x²

O: 3x • -3 = -9x

I: 5 • 4x = 20x

L: 5 • -3 = -15

Combine the terms.

12x² - 9x + 20x - 15

Combine like terms.

12x² + 11x - 15

The "middle" term is 11x.

Hope this helps!

Divide the number of cubic feet that it can circulate by the number cubit feet per cubic yard. That gives the number of cubic yards that it can circulate. It can circulate about 10.37 cubic yards per minute.

The air conditioning system can be circulate in 15.92 cubic yards of air per minute.

Here,

An air conditioning system can circulate 430 cubic feet of air per minute.

We have to find the cubic yards of air which can be circulate in per minute.

What is the value of cubic yard in cubic feet?

1 cubic yard = [tex](3 ft)^3[/tex] = 27 cubic feet.

Now,

1 cubic yard = [tex](3 ft)^3[/tex] = 27 cubic feet.

Hence, Cubic yards of air circulate in per minute = 430/27 = 15.92

So, The air conditioning system can be circulate in 15.92 cubic yards of air per minute.

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40° is your answer

Answer:

:

< ABC+<QRS=180

m<QRS=180-140=40°

Answer:

C

Step-by-step explanation:

y = mx + b

Choice C is y = (-1/4)x + 1

m or slope = -1/4

Compound interest formula:

Total = start value x ( 1 + rate/compound rate) ^( compound rate x time)

Total = 4,465(1 + .03/365)^(365x5)

Total = $5,187.56

The balance after 5 years will be $5177 and 10 cents.

How to calculate compound interest?

Compound interest is calculated by following formula:

[tex]A(1+\frac{r}{n})^{nt}[/tex]

Here:

A=principle amount=$4465

r=rate of interest/100=3/100=0.03

n=no. of days interest is applied=365 days

t=time period of interest=5 years

Putting all the values in the formula we get:

[tex]4465(1+0.03/365)^{365*5}=$5177.1[/tex]

Therefore, The amount at the end will be $5177 and 10 cents.

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Answer:

(3x + 8y)(3x - 8y)

Step-by-step explanation:

this is the difference of 2 perfect squares.

9x2 - 64y2

(3x + 8y)(3x - 8y)

Answer:

B is the answer

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

36/9=4

Answer:

4^8

Step-by-step explanation:

keep base (which is 4) and add exponents when multiplying

Answer:

A. (2√13)/13

Step-by-step explanation:

Recall, SOHCAHTOA.

Thus,

Cos θ = Adjacent/Hypotenuse

Adjacent = 16

Hypotenuse = 8√13

Therefore,

Cos θ = 16/(8√13)

Rationalize

Cos θ = (16*√13)/(8√13*√13)

Cos θ = (16√13)/(8*13) = (2√13)/13

[tex]\huge\text{Hey there!}[/tex]

[tex]\mathsf{-12=6\sqrt{x+4}}[/tex]

[tex]\mathsf{6 \sqrt{x + 4}=-12}[/tex]

[tex]\textsf{DIVIDE your BOTH SIDES by 6}[/tex]

[tex]\mathsf{\dfrac{6\sqrt{x + 4}}{6}= \dfrac{-12}{6}}[/tex]

[tex]\textsf{Introduce the new temporary equation}[/tex]

[tex]\mathsf{\sqrt{x + 4}=-2}[/tex]

[tex]\textsf{SOLVE for your SQUARE ROOT }[/tex]

[tex]\mathsf{\sqrt{{x + 4}}=-2}[/tex]

[tex]\mathsf{Like: x + 4 = (-2)^2}[/tex]

[tex]\textsf{SQUARE EACH of your SIDES}[/tex]

[tex]\mathsf{x + 4 = 4}[/tex]

[tex]\textsf{SUBTRACT your BOTH SIDES by 4 }[/tex]

[tex]\mathsf{x + 4 -4= 4-4}[/tex]

[tex]\mathsf{Cancel\ out\ 7-7 \ because\ it\ gives\ you\ 0}[/tex]

[tex]\textsf{Solving for your last temporary question}[/tex]

[tex]\mathsf{x = 4-4}[/tex]

[tex]\mathsf{4-4 = \bf 0}[/tex]

[tex]\mathsf{\bf x = 0}[/tex]

[tex]\textsf{Plug your x-value (x = 0) to make sure it works for your original equation}[/tex]

[tex]\textsf{You will see that it doesn’t work for the original problem so this means that the}\\\textsf{original equation \bf does NOT have any solutions.}[/tex]

[tex]\boxed{\boxed{\large\text{Answer: \huge\bf No solutions}}}\huge\checkmark[/tex]

[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Answer:

Step-by-step explanation:

Answer:

b is correct

Step-by-step explanation:

i did this pls mark as branlyest

Answer:

I believe the answer is D

Step-by-step explanation:

Answer:

B) There is convincing statistical evidence to suggest that political affiliation and where a person lives are dependent.

Step-by-step explanation:

Chi square test value is greater than the p-value which suggest that we can reject the null hypothesis and there is strong evidence supporting the statement of alternative hypothesis.

The conclusions, made for political affiliation, that there is convincing statistical evidence to suggest that political affiliation and where a person lives are dependent.

Random sample is the way to choose a number or sample in such a manner that each of the sample of the group has an equal probability to be chosen.

The analyst took a random sample of 1,250 people in a state. The following are the hypotheses the analyst tested-

The chi-square test statistic and p-value of the hypothesis test were 19.78 and 0.003 respectively.

The value of chi square is greater than p-value as,

[tex]19.78 > 0.003[/tex]

Therefore, the null hypothesis can be rejected. There is an association between party affiliation and the county in which a person lives.

Hence, the conclusions, made for political affiliation, that there are convincing statistical evidence to suggest that political affiliation and where a person lives are dependent.

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Answer: D

2 1/2 divided by 1/4 = 10

hope this gets ur grade up keep trying ur best!! :D

Answer:

I know this is probably late but the answer is 52 ft

Step-by-step explanation:

I did the Unit Test

Answer: The answer is 4 pieces of chalk

Answer:

7 chalks

Step-by-step explanation:

7 crosses are above numbers that are higher than 5

Answer:

the first red one, it's a triangular prism

Step-by-step explanation:

the second one is a triangular pyramid

the rest (third and fourth one) are square pyramids

Answer:

Its the first one

Step-by-step explanation:

Because a prism is a three-dimensional shape with identical ends, called bases, and flat sides called faces. These identical slices of a prism are called cross sections.

         mark brainliest please.

Answer:

1075 ft

Step-by-step explanation:

25*35 = 875

8*25 = 200

875+200 = 1075

Answer:

C. 3i✓3

Step-by-step explanation:

Which choice is equivalent to the expression below?

✓-27

Square root of a negative value, so it will have a complex part.

We have that:

[tex]\sqt{-a^2} = ai[/tex]

In this question:

The square root of -27 can be factored as:

[tex]\sqrt{-27} = \sqrt{3(-9)} = \sqrt{3}\sqrt{-9} = 3i\sqrt{3}[/tex]

So the correct answer is given by option C.

Answer:

For [tex]x = -2[/tex]

Step-by-step explanation:

Solving a quadratic equation:

Given a second order polynomial expressed by the following equation:

[tex]ax^{2} + bx + c, a\neq0[/tex].

This polynomial has roots [tex]x_{1}, x_{2}[/tex] such that [tex]ax^{2} + bx + c = a(x - x_{1})*(x - x_{2})[/tex], given by the following formulas:

[tex]x_{1} = \frac{-b + \sqrt{\Delta}}{2*a}[/tex]

[tex]x_{2} = \frac{-b - \sqrt{\Delta}}{2*a}[/tex]

[tex]\Delta = b^{2} - 4ac[/tex]

In this question:

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

[tex]g(x) = 6x + 4[/tex]

[tex]f(x) + g(x) = (f+g)(x)  = x^2 - 2x + 6x + 4 = x^2 + 4x + 4[/tex]

Which is a value of x does (f+g)(x) =0

[tex]x^2 + 4x + 4[/tex]

Quadratic equation with [tex]a = 1, b = 4, c = 4[/tex]

So

[tex]\Delta = 4^{2} - 4*1*4 = 0[/tex]

[tex]x_{1} = \frac{-4 + \sqrt{0}}{2} = -2[/tex]

[tex]x_{2} = \frac{-4 - \sqrt{0}}{2} = -2[/tex]

For [tex]x = -2[/tex]

Answer:

12 8/11

Step-by-step explanation:

hope it helps you

Answer:

r = 1.41 mm

Step-by-step explanation:

Given that,

The circumference of the flower, C = 8.9 mm

We need to find its radius. We know that,

Circumference, [tex]C=2\pi r[/tex]

Where

r is the radius of the object

[tex]r=\dfrac{C}{2\pi}\\\\r=\dfrac{8.9}{2\pi}\\\\r=1.41\ mm[/tex]

So, the radius of the object is equal to 1.41 mm.