What is the best estimate of 687 × 391?

[tex]\text{Let,}\\\\~~~~~~~x=1-4i,\\\\\implies x-1 = -4i\\ \\\implies (x-1)^2 =(-4i)^2\\\\\implies x^2 -2x +1 = -16\\\\\implies x^2 -2x +1 +16 = 0\\\\\implies x^2 -2x +17=0\\\\\text{So,}~ x^2 -2x +17 ~\text{is a factor of the 3 degree polynomial.}\\ \\\text{The polynomial is,}\\\\P(x) = (x-3)(x^2 -2x +17)\\\\~~~~~~~=x^3-2x^2+17x -3x^2 +6x -51\\\\~~~~~~~=x^3 -5x^2 +23x -51[/tex]

Step-by-step explanation:

Radius = 11 inches

⇒ Circumference = 2πr

⇒ Circumference = (2 × 3.14 × 11) inches

⇒ Circumference = 69 inches

Step-by-step explanation:

0.25 = 1/4 is not reach to 1

2 is an integral number.

So, 0.25 is smaller than 2

Answer:

2/5 is equal to 0.40, which is higher than 0.25

Step-by-step explanation:

2 ÷ 5= 0.4 which is the same as 0.40

Answer:

r= -0.1

Step-by-step explanation:

Answer:

141000 * (1 - 0.016)^15 = 110699.48 = A 110700

Step-by-step explanation:

1st year depreciation = 141000 -  (141000 * 0.016) = 138744

2nd year depreciation = 138744 - (138744 * 0.016) = 136524.096

3rd year depreciation = 136524.096 - (136524.096 * 0.016) = 134339.710464

etc. unitl you reach the 15th year

Basically we calculate 1.6% of the current value of the house and subtract that from the current value for each year for 15 years.

The equation used in the answer is a faster way to approach your answer instead of calculating for each year.

You'd multiply your initial value by the difference in percentage (note well that since it is decreasing in value we subtract the decimal equivalent to 1.6% which is 0.016, from 1 where one represents 100% and then raise the difference gained to the power of the amount of years which would be 15.

Answer:

No.

Step-by-step explanation:

It's simpler than you might expect.

If [tex](x - 4)[/tex]  is a factor, then it means that it the function [tex]f(x) = x^3 - 2x^2 + 5x + 1[/tex] can have [tex](x - 4)[/tex] factorised out.

This means that we can say [tex](x - 4) = 0[/tex]

Therefore [tex]x = 4[/tex]

If we put [tex]x = 4[/tex] into the equation:

[tex]f(4) = (4)^3 - 2(4)^2 + 5(4) + 1\\= 64 - 32 + 20 + 1\\= 53[/tex]

We didn't get 0, therefore it isn't a factor!

Answer:

Riya have 20 apples

Step-by-step explanation:

Let, Tyler have x apples

Then, Riya have 5x apples

Now, From the question,

5x + x =24

or, 6x =24

or, x = 24/6

or, x = 4

Tyler have 4 apples

Again,

Riya have 5x apples

=5*4

=20

Therefore, Riya have 20 apples

Answer:

A survey shows that the probability that an employee gets placed in a suitable job is 0.65. So, the probability he is in the wrong job is 0.35.The test has an accuracy rate of 70%. So, the probability that the test is inaccurate is 0.3. Thus, the probability that someone is in the right job and the test predicts it wrong is The probability that someone is in the wrong job and the test is right is 

Answer:

5/6, 0.83 or 83%

Step-by-step explanation:

Answer:

Probabilities

Decimal: [tex]0.91[/tex]

Fraction: [tex]\frac{91}{100}[/tex]

Percentage: [tex]91[/tex]%

Step-by-step explanation:

Writing out information

2 comedy CDs

3 science-fiction CDs

7 adventure CDs

10 random CDs

22 total CDs

The chosen CD is not a comedy.

Solving probability for each

Decimals rounded to nearest 100th

Comedy:

[tex]2:22\\0.09\\\frac{2}{22}[/tex]

Science-fiction:

[tex]3:22\\0.14\\\frac{3}{22}[/tex]

Adventure:

[tex]7:22\\0.32\\\frac{7}{22}[/tex]

Random:

[tex]10:22\\0.45\\\frac{10}{22}[/tex]

Finding the total of the non-comedy

[tex]0.14+0.32+0.45=0.91[/tex]

[tex]0.91=91[/tex]%

Conclusion

Probabilities

Decimal: [tex]0.91[/tex]

Fraction: [tex]\frac{91}{100}[/tex]

Percentage: [tex]91[/tex]%

Answer:

Higher education loans generally have a positive ROI because you are building skills and work experience that can increase your future earnings. More education is correlated with higher lifetime earnings.

Step-by-step explanation:

The jobs you can get with higher education will earn more money than jobs without a degree or certificate.

The term return on investment refers to the profit that one makes from an investment. Higher education is a very profitable investment for an individual.

here,

Higher education loans generally have a positive ROI because you are building skills and work experience that can increase your future earnings. More education is correlated with higher lifetime earnings.

The jobs you can get with higher education will earn more money than jobs without a degree or certificate.

The example of why higher education typically has a positive return on investment (ROI) is the jobs you can get with higher education will earn more money than jobs without a degree or certificate.

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Answer:3,190 centimeters

Step-by-step explanation:

math is easy

The cost of one package of white chocolate chip cookie is $9 while the cost of one package of oatmeal cookie dough is $14.

An equation is an expression used to show the relationship between two or more numbers and variables.

Let x represent the cost of white chocolate chip and y represent the cost of oatmeal dough, hence:

12x + 6y = 192   (1)

Also:

6x + 12y = 222    (2)

From both equations:

x = 9, y = 14

The cost of one package of white chocolate chip cookie is $9 while the cost of one package of oatmeal cookie dough is $14.

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Answer:

  see attached

Step-by-step explanation:

Perhaps you want to show that P∨Q will be equal to Q when ¬P is true. Attached is a truth table that shows this is the case.

__

This is simply a restatement of the logic of the OR function. When one its inputs is a logical 0 (false), the output depends on the other input(s).

Amelia should randomly choose people only in their block.

Amelia should ask people what part of the neighborhood they live in.

Amelia should ask people their age.

A representative sample are data collected from small group of individual which can be use to represent a large population of people so as to reach a conclusion.

Most researcher tend to make use of representative sample when they want to draw a conclusion as it save time and reduce the stress of having to carryout survey on a larger population.

Therefore Amelia should randomly choose people only in their block.

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Answer:

heres what i got!

Where is the question?

Answer:

(x + 3)(x + 5)

Step-by-step explanation:

Find two numbers that multiply to 15 and add to 8.

The numbers are 3 and 5.

x² + 8x + 15 = (x + 3)(x + 5)

Answer:

x=124

y=124

Step-by-step explanation:

if the number next to x is 56

180-56=124

x=124

and x=y

if that is the whole question

We can write the log expression in terms of the log of x, y, and z as expression 1/2(logx+2logy-8logz).

It is another way to represent the power of numbers and we say that 'b' is the logarithm of 'c' with base 'a' if and only if 'a' to the power 'b' equals 'c'.

[tex]\rm a^b = c\\\\log_ac = b[/tex]

We have an expression in logarithm:

[tex]=\rm log\sqrt{\frac{xy^2}{Z^8} }\\\\=log(\frac{xy^2}{Z^8})^{\frac{1}{2} }\\\\=\frac{1}{2}log(\frac{xy^2}{Z^8})[/tex]                         [tex](\rm loga^b = (b)log(a))[/tex]

[tex]\rm\frac{1}{2} (log(xy^2)-logz^8)[/tex]              [tex](\rm log(\frac{a}{b} )= loga - logb)[/tex]

[tex]\rm\frac{1}{2} (log(x)+log(y^2)-logz^8)[/tex]   [tex](\rm logab = loga+logb)[/tex]

[tex]\rm\frac{1}{2} (log(x)+2log(y)-8logz)[/tex]

Thus, we can write the log expression in terms of the log of x, y, and z as 1/2(logx+2logy-8logz).

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Answer:

600 m³

Step-by-step explanation:

The shape we have is a rectangular pyramid:

Formula: (volume of a rectangular pyramid)

Volume = (1/3) × Base Area × height

___________________________

In our case :

Base area = L × W = 20 × 18 = 360 m²

height = 5 m

⇒ Volume = (1/3) × Base Area × height

    [tex]\Longrightarrow \text{volume} \ =\ \frac{1}{3} \times 360\times 5[/tex]

[tex]\Longrightarrow \ \text{volume} \ =\ 600\ m^{3}[/tex]

Take LCM

Now

Answer:

23/20

Step-by-step explanation:

2/5 + 3/4

LCM = 5 * 4 = 20

=》2/5 * 4/4 = 8/20

=》3/4 * 5/5 = 15/20

So,

2/5 + 3/4

= 8/20 + 15/20

= 23/20

_________

Hope it helps ⚜

Put it into your calculator

Product means multiply [tex]\times[/tex]

4th power means [tex]10^4[/tex]

[tex]630\ \times\ 7.2\times10^4 = 45360000 = 4.536\times10^7[/tex]

Answer:

D

Step-by-step explanation:

1) if sin(ACB)=BC/BD, then BC=BD*sin(ACB);

2) m(ACB)=60°, then sin(ACB)=√3/2, then

3) BC=5/(√3/2)=10/√3 or 10√3/3.

Answer:

216 x 16

Step-by-step explanation:

Given

Simplify into prime factors.

Now, for it to be equivalent, on dividing 3456 by the product of the expression, the quotient should be 1.

Evaluating the options

18 x 8

216 x 16

24⁶

(6 x 4)⁵

216 x 16 is the correct answer

Answer:

6000 cm^3

Step-by-step explanation:

2(10 * 20 * 15) = 6000

Answer:

75%

Step-by-step explanation:

Convert the fraction into a decimal number. Multiply the obtained decimal number by 100, to get a percent value.

Answer:

3/4 in a percent is 75%

Step-by-step explanation:

To change a fraction to a decimal you divide the numerator by the denominator. In this case that would be 3 divided by 4 which is 0.75, to change the decimal to a percent you move the decimal two places to the right.

Answer:

The y-intercept is the point (0, 128).

The x-intercepts are the points (-4, 0) and (-8, 0).

As x → ∞, y → ∞.

As x → -∞, y → -∞.

Step-by-step explanation:

To find the y-intercept, substitute 0 for x and solve for y.

The y-intercept is (0, 128).

To find the x-intercept, substitute 0 for y and solve for x.

Set the first term, (x + 4)², equal to 0.

Set the second term, (x + 8), equal to 0.

The x-intercepts are the point (-4, 0) and (-8, 0).

Look at the degree and leading coefficient of the polynomial to determine the end behavior, and therefore you can determine how y behaves as x gets closer to infinity.

Since the degree of the polynomial is odd (3) and the leading coefficient is positive, the graph falls to the left and rises to the right.

So, as x → ∞, y → ∞ and as x → -∞, y → -∞.

If you want to verify this, plug the equation into your calculator and look at the graph. How does it behave as you look at negative x-values? How about for positive x-values?

Answer:

A = 52º AND B=38º

Step-by-step explanation:

Let's call A and B the two angles.

First condition: A + B = 90º

Second cond: A + 2B = 128º

Subtract the first condition to the second: B = 38º

Replace the value of B in any of the 2 conditions; e.g. in the first.

A + 38º = 90º

A = 90º - 38º = 52º

Answer:

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