6.
Write each expression in the form a + bi, where a and b are real numbers.

Answer: 280 cubic inches

Step-by-step explanation:

You want to simply multiply the width, length and the height. Which will be

Use the formula:
W x L x H

4 * 7 * 10 = 280

Answer:

280

Step-by-step explanation:

for volume the formula is w x h x L

brainliest please??

The value of x which maximizes the function is: x = a/(a+(n-a))

To find the value of x which maximizes the function, take the derivative of the function and set it equal to 0.

We have: f'(x) = a/x - (n-a)/(1-x)

Setting f'(x) = 0, we have: a/x - (n-a)/(1-x) = 0

Rearranging, we get: x = a/(a+(n-a))

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Answer:

She will need to pay $206.50 per month.

Step-by-step explanation:

Divide the total cost ($2,478) by the number of months (12 mos) to obtain Sam's monthly payment:

 $2,478

---------------- = $206.50/month

12 months

She will need to pay $206.50 per month.

Assuming 100% efficiency, the current in the secondary coil will be the same as the current in the primary coil.

The current in the secondary coil is dependent on the voltage ratio of the primary and secondary coils. If the voltage ratio of the coils is the same as the turns ratio, then the current in the secondary coil will be identical to that in the primary coil. Therefore, assuming 100% efficiency, the current in the secondary coil will be the same as the current in the primary coil.

The current in the secondary coil is determined by the voltage ratio of the primary and secondary coils. The voltage ratio is equal to the turns ratio, which is the ratio of the number of turns in the secondary coil to the number of turns in the primary coil. In an ideal transformer with 100% efficiency, the power output in the secondary coil will be equal to the power input in the primary coil. Since power is equal to voltage multiplied by current, and the voltage ratio is equal to the turns ratio, the current in the secondary coil will be the same as the current in the primary coil.

Therefore, assuming 100% efficiency, the current in the secondary coil will be the same as the current in the primary coil.

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Answer:

h ≈ 9.9 cm

Step-by-step explanation:

By applying tangent rule for the given angle in the given right triangle,

tan(51°) = \(\frac{\text{Opposite side}}{\text{Adjacent side}}\)

tan(51°) = \(\frac{h}{8}\)

h = 8 × tan(51°)

h = 9.879

h ≈ 9.9 cm

Therefore, measure of side 'h' is 9.9 cm.

Answer:

133.33

Step-by-step explanation:

In 133.33 years, the principal amount of $500 at the rate of 1.5% per year will triple.

Simple interest is an interest which is only based on principal amount, it does not imply on yearly interest.

Given that,

The principal amount put in the bank p= $500

The rate of simple interest r= 1.5 %

Amount will be triple, implies that, Interest would be two times of principal.

Interest = 2 x 500 = 1000

To find the time t, when amount gets triple, use simple interest formula

Interest = (p x r x t)/100

1000 = (500 x 1.5 x t)/100

200/1.5 = t

133.33 = t

The required time in which the money will triple is 133.33 years.

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Answer:

Exponent

Step-by-step explanation:

^ means raised to the power of

The number being raised is known as the exponent

In this case it's the exponent is 4

Answer:

C

Step-by-step explanation:

The y-intercept is approximately 191.1. The correct option is (B).

To compute the y-intercept, we need to use the equation of the regression line, which is:

y = a + bx

where a is the y-intercept, b is the slope, x is the independent variable (in this case, x-bar), and y is the dependent variable (in this case, y-bar).

The formula for the slope of the regression line is:

b = r * (sy/sx)

where r is the correlation coefficient, sx is the standard deviation of x, and sy is the standard deviation of y.

Substituting the given values, we get:

b = 0.341 * (37/12) = 1.05025

Now, we can use the formula for the y-intercept:

a = y-bar - b * x-bar

Substituting the given values, we get:

a = 251 - 1.05025 * 57 = 191.10925

Therefore, the y-intercept is approximately 191.1.

The answer is B) 191.1.

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Answer:

One is 3x+2 while the other is 2x-1

Step-by-step explanation:

It is opposite to one another

the one with 3x+2 is opposite to the non given one and the one withb2x-1 is opposite

The average rate of change of the function from x = 8 to x = 9 is given as follows:

-17.

The average rate of change of a function is given by the change in the output of the function divided by the change in the input of the function.

For quadratic functions, we have that the second differences are constant, hence, from the table, we have that:

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Answer:

Bruce's tiles covered more area than Felicia's, so this means Bruce has the greater unit rate.

Step-by-step explanation:

Got it right

Answer: look down below

Step-by-step explanation:

BEFORE

91+87+100+88+95+91=552

552\6=92

Median=92

the 6 is how much data points we have

AFTER

91+87+100+88+95+91+98+100+88+86=924

924/10=92.4

the 10 represnts how many data points we have now

MEDIAN=92.4

the median will be increased by 0.4

The length of the entire tunnel is 127.88 meters by using cosine law or formulae.

Here we can use the formulae of cosine when two sides a and b and angle between then is given we can apply it.

\(c^{2} =a^{2} +b^{2} -2ab cos (\alpha )\)

Let us take surveyor as point A

one end of the tunnel denoted by point B

other end of the tunnel denoted by point C.

The length of AB is 101 meters

length of AC is 120 meters.

Measure of angle at point A = 42° + 28° =70°

Now lets find the length of tunnel

=\(\sqrt{(120^{2})+(101^{2})-2.(120)(101) cos (70) }\)

=\(\sqrt{14400+10201-24240(0.34)}\)

=\(\sqrt{24601-8246}\)

\(\sqrt{16355}\)

=127.88 meters.

Hence the length of the entire tunnel is 127.88 meters.

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Answer:

10 nickels and 1 dime would be $0.60

Step-by-step explanation:

10x5 = 50+ 10 =60

It is 0.60 cent. 10 nickels is .50 cent and 1 dime is .10 cent so the total would be 0.60 cent. 10n+1d=.60.

Answer:

6.2

Step-by-step explanation:

I don't think you need my explanation anymore.

Answer:

true

Step-by-step explanation:

It is True that in a table of a proportional relationship, the ratio or y/x is constant.

It is defined as the relationship between two variables when the first variable increases, the second variable also increases according to the constant factor.

It is given that, y∝x

In order to eradicate the proportional sign introduces the constant as,

y=kx

k=y/x

k is the constant value.

Thus, it is True that in a table of a proportional relationship, the ratio or y/x is constant.

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A line passes through the two points (-4,6) and (2,-5). 11x +6y - 80 = 0 is the given line equation.

Its slope would be:

\(m = \dfrac{y-q}{x-p}\)

The slope of parallel lines are same. Slopes of perpendicular lines are negative reciprocal of each other.

The slope m of the line is given as

\(m = \dfrac{y-q}{x-p}\\\\ m = \dfrac{-5-6}{2+4}\\\\ m = \dfrac{-11}{6}\)

The equation of a line is  

\(( y -y_0) = m (x - x_0)\\\\( y -6) = \dfrac{-11}{6} (x+4)\\\\6( y -6) = (-11) (x+4)\\\\6y -36 = (-11x +44)\\\\11x +6y - 80 = 0\)

Hence, the equation is  11x +6y - 80 = 0

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Answer:

Is Square Root of 25 Rational or Irrational?  

Step-by-step explanation:

A rational number can be expressed in the form of p/q. Because √25 = 5 and 5 can be written in the form of a fraction 5/1. It proves that √25 is rational.

The answer is:

Work/explanation:

What are rational numbers?

Rational numbers are integers and fractions.

Irrational numbers are numbers that cannot be expressed as fractions, such as π.

Now, \(\bf{\sqrt{25}}\) can be simplified to 5 or -5; both of which are rational numbers.

Answer:

1/2 is the slope

Step-by-step explanation:

Slope is rise over run

it goes up 1 and across 2

therefore the slope is 1/2

Answer:

\(\frac{1}{2}\)

Step-by-step explanation:

\(slope = \frac{rise}{run} = \frac{1}{2}\)

Answer:

E = (28 + 66i) Volts

Step-by-step explanation:

Note that: i = √-1 ; i² = -1

Ohm's law: E = IR

E = (16+ i) (2 + 4i)

Expand the equation.

E = 16x2 + 16x4i + ix2 + ix4i

E = 32 + 64i + 2i + 4i²

E = 32 + 64i + 2i + 4(-1)

E = 32 + 64i + 2i - 4

Collect like terms:

E = 32 -4 + 64i + 2i

E = (28 + 66i) Volts

Answer:

the answer is 1325

Step-by-step explanation:

Answer:

Question 8:

2(12x+9y)

Question 9:

2(x+3)+2

Step-by-step explanation:

I hope this helps

Answer:

Remember the property:

a^-1 = (1/a)^1

and:

(a/b)^n = (a^n)/(b^n)

A table for a function like:

\(\left[\begin{array}{ccc}x&f(x)\\&\\&\\&\\&\end{array}\right]\)

Is just completed as:

\(\left[\begin{array}{ccc}x&f(x)\\x_1&f(x_1)\\x_2&f(x_2)\\x_3&f(x_3)\\x_4&f(x_4)\end{array}\right]\)

So, here we have:

y = f(x) = (1/6)^x

To complete the table, we need to find:

f(-1)

and

f(2)

So let's find these two values:

f(-1) = (1/6)^-1 = (6/1)^1 = 6

and the other value is:

f(2) = (1/6)^2 = 1/36

Then the complete table is:

\(\left[\begin{array}{ccc}x&f(x)\\-2&36\\-1&6\\0&1\\1&1/6\\2&1/36\\1&1/216\end{array}\right]\)

\(\huge\mathcal {♨Answer♥}\)

\( \large \texttt {The value of D is :}\)

\(d = {131}^{0} \)

\( \large \texttt {The value of E is :}\)

\(e = {27}^{0} \)

\( \large \texttt {The value of F is :}\)

\(f = {180}^{0} - ( {27}^{0} + {131}^{0} )\)

\(f = {180}^{0} - {158}^{0} \)

\(f = {22}^{0} \)

☆...hope this helps...☆

_♡_mashi_♡_

Answer:

∠ ACD = 70°

Step-by-step explanation:

The angle on the circle subtended by arc AB is half the angle at the centre subtended on the same arc, that is

∠ ACD = \(\frac{1}{2}\) ∠ AOB = \(\frac{1}{2}\) × 140° = 70°

Answer:

(C)is the correct one for this question. this may help you(: