Which image below is an equilateral triangle?

Answer:

27,000

Step-by-step explanation:

$450,000 x 0.06= $27,000

0.06 is the 6% that you multiply by the total amount they earned to see how much they paid the realty company.

Answer:

  6

Step-by-step explanation:

If we place no restrictions on the values of the variables, there are an infinite number of possible solutions.

In this scenario, it is reasonable to require all variables have non-negative integer values. That restricts the solutions to ...

  (x, y, z) ∈ {(15, 20, 0), (12, 22, 1), (9, 24, 2), (6, 26, 3), (3, 28, 4), (0, 30, 5)}

There are 6 solutions to her problem.

Answer:

The experimental probability depends on how many times you're spinning it and theoretical probability is stating what "would" happen if you're only spinning it once. After you get the theoretical probability, you would multiply that percentage by 25 to get the experimental probability percentage.

Step-by-step explanation:

The experimental probability depends on the number of times the experiment is conducted. The result from a theoretical probability is what would happen if the experiment is done once.

Probability determines how likely a stated event would occur. The probability the event occurs is 1 and the probability that the event does not occur is 0. Experimental probability is based on the result of an experiment that has been carried out multiples times

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Answer:

Legon fo)

Step-by-step explanation:

Answer:

Step-by-step explanation:

Dataset 1 (in increasing order)

{1, 4, x, 8}

Dataset 2 (in increasing order)

{2, 5, y, 9}

Median of dataset 1

[4 + x] / [2]

Median of dataset 2

[5 + y] / [2]

since the medians of the two given sets of data are the same,

=> [4 + x] / [2] = [5 + y] / [2]

=> 2(5 + y) = 2(4 + x)

=> 10 + 2y = 8 + 2x

=> 2y - 2x = 8 - 10

=> 2y - 2x = - 2

=> 2(y - x) = - 2

=> [2(y - x)] / [2] = [- 2] / [2]

denominators and numerators cancel out

=> (y - x) = - 1

Therefore, (y - x) ² = (-1)²

=> (y - x) ² = 1

Answer:

Step-by-step explanation:

We assume that "p" and "q" are given in dollars, so that the profit function (in thousands of dollars) can be written:

  P = xp +yq -C(x, y)

Profit will be maximized when the partial derivatives of P with respect to x and y are both zero:

  ∂P/∂x = p +x(∂p/∂x) +y(∂q/∂x) -∂C/∂x = 0

  (120 -3x +y) +x(-3) +y(1) -80 = 0

  -6x +2y +40 = 0

  3x -y = 20 . . . . put in standard form

and ...

  ∂P/∂y = x(∂p/∂y) +q +y(∂q/∂y) -∂C/∂y = 0

  x(1) +(210 +x -7y) +y(-7) -(130) = 0

  2x -14y +80 = 0

  x -7y = -40 . . . . put in standard form

__

The solution to these simultaneous equations can be found a variety of ways. Using Cramer's Rule, we have ...

  x = ((-1)(-40) -(-7)(20))/(-1·1-(-7)(3)) = 180/20 = 9

  y = (20(1) -(-40)(3))/20 = 140/20 = 7

9000 type A and 7000 type B earphones should be produced.

__

The corresponding selling prices are ...

  p = 120 -3(9) +7 = 100

  q = 210 +9 -7(7) = 170

The selling prices should be ...

  p = $100, q = $170

__

The maximum profit is ...

  P = xp +yq -C(x, y) = (9)(100) +(7)(170) -(110 +80(9) +130(7))

  P = 9(100 -180) +7(170 -130) -110 = 180 +280 -110

  P = 350

The maximum profit is $350,000.

Answer:

22,950 units³

Step-by-step explanation:

All you have to do is:

[tex]\frac{3}{4} *60*15*34=\\45*15*34=\\675*34=\\\\22,950[/tex]

Answer:

  x = 2

Step-by-step explanation:

A graph shows the axis of symmetry easily. It is the x-coordinate of the vertex.

  x = 2

__

You can rearrange the equation to ...

  y -7 = 4x -x^2

  y -7 = x(4 -x)

The axis of symmetry is halfway between x-values that give the same y-value. Here, y=7 for x=0 and for x=4. That is, the right side of this equation is zero at those x-values. The axis of symmetry is halfway between, at x = (0+4)/2 = 2

The axis of symmetry is x=2.

_____

Alternate solutions

In standard form,

  ax^2 +bx +c = y

the axis of symmetry is ...

  x = -b/(2a)

Putting this equation into that form, we have ...

  -x^2 +4x +7 = y

  x = -(4)/(2(-1))

  x = 2 . . . . axis of symmetry

__

We can rearrange the equation to vertex form.

  y -7 = -x^2 +4x

  y -7 -4 = -(x^2 -4x +4) . . . . . add the square of half the x-coefficient inside parentheses. Add an equal amount to the other side of the equation.

  y -11 = -(x -2)^2

This tells us the vertex of the graph is (2, 11), so the axis of symmetry is x=2.

Answer:

Step-by-step explanation:

. if every corresponding internal angles in both shapes are equal

. if all corresponding sides are equal or have same ratio.

more rules but depends on the shape also ( triangle, rectangle, hexagon,...)

to use brainy plus on your computer you need to log in with the same account you used on the phone

Answer:

try to restart and delete then re download the app:)

Step-by-step explanation:

Answer:

y=(1/4)x + 9      OR      y=x/4 +9

Step-by-step explanation:

Perpendicular lines have a slope/gradient of -1/n

Because the slope of this line is -4, the slope of a line perpendicular to it would be 1/4.

y=(1/4)x+b

(0,9) is the y-intercept, so b = 9

y=(1/4)x + 9      OR      y=x/4 +9

Answer:

A. 1/2

Step-by-step explanation:

20x=10

Divide 20 on both sides of the equation to get x by itself

20x=10

___.  __

20.     20

x =1/2

Answer:

A) x= 1/2

Step-by-step explanation:

20x= 10 we then divide 10 by 20 to get x= 10/20 or if we simplify x= 1/2. Thus answer choice A) is correct!

Answer:

-3 is not in the domain of f°g

Step-by-step explanation:

f°g=f(g(x))

f(x) = -4(√x-1)+8

*Remember that √x-1 has to be larger than 0

since √-3-1 = √-4, -3 is not in the domain of f°g

Answer:

Should be the bottom one

Step-by-step explanation:

You can find this by counting. It is the only one with 12 units.

Answer:

Step-by-step explanation:is number 4 i pick it and its correct

Answer:

255.50

Step-by-step explanation:

If each day the number is doubled, then all you must do is keep on doubling to the ninth day and then add it all together

Answer:

perpendicular linesssssssss

The answer is B. perpendicular lines. This is because only perpendicular lines can form 4 congruent angles when they intersect (all 4 angles will be 90 degrees).

Answer:

(1): nearest ten is 5840

(2):nearest hundred is 5800

(3):nearest thousand is 6000

Step-by-step explanation:

For nearest ten we get 5840

For nearest hundred we get 5800

For nearest thousand we get 6000

Answer:

119000

Step-by-step explanation:

The median is the middle value when placed from smallest to largest

95000, 112000, 126000, 13000

The middle is between 112000 and 126000 so take the average

(112000+126000)/2 =238000/2 =119000

Answer:

Step-by-step explanation:

The first step is to distribute the 2m and 3 to ([tex]m^2-2m+2[/tex]), like so:

[tex](2m+3)(m^2-2m+2)[/tex]

[tex]2m^3-4m^2+4m+3m^2-6m+6[/tex]

Then, add like terms:

[tex]2m^3 -m^2 -2m + 6[/tex]

Answer:

cool?

who's david den

Step-by-step explanation:

Answer:

He shoud use a table or chart.

Step-by-step explanation:

I answered this question before

Answer:

24/36 = 12 x 2/12 x 3 = 2/3.

Step-by-step explanation:

Answer:

B. 20

Step-by-step explanation:

5P2 is equal to 20 using the permutation formula.

Answer:

10. ⅔ − ∛e

11. 79 + 3√3

Step-by-step explanation:

10. ∫ (1 + 1/x) dx

∫ dx + ∫ (1/x) dx

These are both standard integrals.

x + ln|x| + C

Evaluate between x = ∛e and x = 1.

(1 + ln|1| + C) − (∛e + ln|∛e| + C)

1 + 0 + C − ∛e − ⅓ − C

⅔ − ∛e

11. ∫₁³ (4x³ + ³/₂√x) dx

∫₁³ 4x³ dx + ∫₁³ (³/₂ x^½) dx

(x⁴ + x^(³/₂) + C) |₁³

(x⁴ + x√x + C) |₁³

(3⁴ + 3√3 + C) − (1⁴ + 1√1 + C)

81 + 3√3 + C − 1 − 1 − C

79 + 3√3

The solutions and answers are in the picture below.

Best of Luck!

Answer:

22

Step-by-step explanation:

=x(x+22)

Answer:

The answer is 22

Answer:

B. 1/3 multiplied by k=7

Step-by-step explanation:

7 ÷ ⅓ = k

Multiply both sides by ⅓

7 ÷ ⅓ × ⅓ = k × ⅓

7 = k × ⅓

[tex]x=2y[/tex] and [tex]x=y^3[/tex] intersect when

[tex]2y=y^3\implies y^3-2y=y(y^2-2)=y(y-\sqrt2)(y+\sqrt2)=0[/tex]

[tex]\implies y=0\text{ or }y=\sqrt2\text{ or }y=-\sqrt2[/tex]

We omit the negative root, since we only care for [tex]y\ge0[/tex].

In the interval (0, √2), we have [tex]y^3<2y[/tex]. Then the volume is given by the integral

[tex]\displaystyle\pi\int_0^{\sqrt2}(2y)^2-(y^3)^2\,\mathrm dy=\pi\int_0^{\sqrt2}4y^2-y^6\,\mathrm dy[/tex]

and so the volume is (32√2)/21 π.

Answer:

a) 0.005% probability of a pregnancy lasting 308 days or longer

b) The pregnancy length that separates premature babies from those who are not premature is 229 days.

Step-by-step explanation:

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this question, we have that:

[tex]\mu = 250, \sigma = 15[/tex]

a. Find the probability of a pregnancy lasting 308 days or longer?

This is 1 subtracted by the pvalue of Z when X = 308. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{308 - 250}{15}[/tex]

[tex]Z = 3.87[/tex]

[tex]Z = 3.87[/tex] has a pvalue of 0.99995

1 - 0.99995 - 0.00005

0.005% probability of a pregnancy lasting 308 days or longer

b. If we stipulate that a baby is premature if the length of the pregnancy is in the lowest 8% (8th percentile), find the length that separates premature babies from those who are not premature.

The 8th percentile is X when Z has a pvalue of 0.08. So it is X when Z = -1.405.

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]-1.405 = \frac{X - 250}{15}[/tex]

[tex]X - 250 = -1.405*15[/tex]

[tex]X = -1.405*15 + 250[/tex]

[tex]X = 229[/tex]

The pregnancy length that separates premature babies from those who are not premature is 229 days.

Answer:

event A is dependent on event B since roll 3 will result if you select a face card

Answer:

Step-by-step explanation:

Today's Age = 30

Retirement Age = 64

Total Monthly Deposits = ( 64 - 30 ) * 12 = 408

In case of 12% Compounded Monthly , Interest Rate per month = ( 12% / 12 ) = 1%

Effective Interest Rate per year = ( 1 + 0.12/12 )12 - 1 = 1.1268 - 1 = 0.1268 = 12.68%

Present value of Annual 25 Years withdrawal of $100,000 at time of Retirement = $100,000 * PVAF ( 12.68% , 25 )

= $100,000 * 7.4864

= $748,642.20

Present Value of Money for nephew at time of Retirement = $1,000,000 * PVF ( 12.68% , 25 )

= $1,000,000 * 0.050535

= $50,534.52

Now the Present Value of total Amount Required at time of Retirement = $748,642.20 + $50,534.52

= $799,176.70

Now the monthly deposit be X

= X * FVAF ( 408 , 1% ) = $799,176.70

= X * 5752.85 = $799,176.70

X = $138.918

Therefore Monthly Deposit = $138.92

Answer:

x-5

Step-by-step explanation:

got it right

The expression to replace the numerator is (x - 5).

Option B is the correct answer.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

(2x - 8 - (x - 3)) / (x² - 7x + 10)

= (2x - x - 8 + 3) / (x - 2) (x - 5)

= (x - 5) / (x - 2) (x - 5)

Thus,

The numerator is (x - 5).

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Answer:

8

Step-by-step explanation:

In his 5th year, he took 3 times as many exams as the first year.  So the number of exams taken in the 5th year must be a multiple of 3.

If a₁ = 1, then a₅ = 3.  However, this isn't possible because we need 4 integers between them, and a sum of 31.

If a₁ = 2, then a₅ = 6.  Same problem as before.

If a₁ = 3, then a₅ = 9.  This is a possible solution.

If a₁ = 4, then a₅ = 12.  If we assume a₂ = 5, a₃ = 6, and a₄ = 7, then the sum is 34, so this is not a possible solution.

Therefore, Alex took 3 exams in his first year and 9 exams in his fifth year.  So he took 19 exams total in his second, third, and fourth years.

3 < a₂ < a₃ < a₄ < 9

If a₂ = 4, then a₃ = 7 and a₄ = 8.

If a₂ = 5, then a₃ = 6 and a₄ = 8.

If a₂ = 6, then there's no solution.

So Alex must have taken 8 exams in his fourth year.