Which pair of liens are perpendicular?y = -8 and y = 2Ox – y = 7 and y = x + 3x = 4 and y = -1O y= -4x + 1 and 8x + 2y = -10

Answer:

Point E divides each diagonal in half. It is the midpoint of  AC and BD . This means the two diagonals bisect each other at point E.

Step-by-step explanation:

PLATO

Answer:

Point E divides each diagonal in half. It is the midpoint of  AC and BD . This means the two diagonals bisect each other at point E.

Step-by-step explanation:

edmentum

The amount insurance company will pay is $700000.

We are given that

Age of Mr. lewis= 63

Policy value= $700,000

Now,

If Mr. Lewis dies after paying for the policy for 24 months, he would have paid a total of 24 * $72 = $1728 in premiums. Since he has a five-year level-term life insurance policy with a face value of $700,000, his beneficiaries would receive the full face value of the policy if he dies within the five-year term.

Therefore, by algebra the answer will be $700000.

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The average speed on the first 30 minutes is 0.2 km per min.

Here we have the graph for the position of a bycicle rider on a 42-minute trip.

On the vertical axis we can see the position, and on the horizontal axis we can see the time.

Remember that:

speed = distance/time.

To find the average speed on the first 30 min, we need to take the quotient between the position after 30 minutes and 30 min.

At 30 min we can see that the position is at 6 km, then the speed will be:

S = 6km/30min = 0.2 km per min.

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Using thie model ,The answer is D. 27.

To calculate 9÷1/3 using the model below, we can imagine dividing the green rectangle into thirds vertically. Each third would contain 3 cells.

Then, we can see that there are a total of 9 cells in the rectangle. Since we are dividing by 1/3, we need to find out how many sets of 1/3 are in 9.

We can see that there are 3 sets of 1/3 in each row (since each row contains 3 cells, which are thirds). So, in total, there are 3 rows of 3 sets of 1/3, which gives us:

9÷1/3 = 3 rows x 3 sets of 1/3 = 9 sets of 1/3 = 27

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Answer:

n=(10-2m)/7

Step-by-step explanation:

2m+7n=10

subtract 2m from both sides

7n= 10-2m

divide by 7 on both sides

n=(10-2m)/7

Answer:

C

Step-by-step explanation:

given

cosΘ = \(\frac{9}{15}\) = \(\frac{adjacent}{hypotenuse}\)

then to find the third side (opposite) use Pythagoras' identity

opposite² + 9² = 15²

opposite² + 81 = 225 ( subtract 81 from both sides )

opposite² = 144 ( take square root of both sides )

opposite = \(\sqrt{144}\) = 12

then

tanΘ = \(\frac{opposite}{adjacent}\) = \(\frac{12}{9}\)

The largest volume possible from one piece of paper for open-top box is 64.296 cubic unit.

For the given question dimensions of open-top box;

The volume is given by the equation;

V = (8.5-2x)(11-2x)(x)

Simplifying the equation;

V = x(4x² - 39x + 93.5)

Differentiate the equation with respect to x using the product rule.

dV/dx = x(8x -39) + (4x² - 39x + 93.5)

dV/dx = 8x² - 39x + 4x² - 39x + 93.5

dV/dx = 12x² - 72x + 93.5

Put the Derivative equals zero to get the critical point.

12x² - 72x + 93.5 = 0.

Solve using quadratic formula to get the values.

x = 4.1  and x = 1.9

Put each value of x in the volume to get the maximum volume;

V(4.1) =  4.1(4(4.1)² - 39(4.1) + 93.5)

V(4.1) = 3.44 cubic unit.

V(1.9) = 1.9(4(1.9)² - 39(1.9) + 93.5)

V(1.9) = 64.296 cubic unit. (largest volume)

Thus, the largest/maximum volume possible from one piece of paper for open-top box is 64.296 cubic unit.

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Step-by-step explanation:

31 + 6x + x + 16 = 180

7x + 47 = 180

7x = 180 - 47

x = 133/7

x = 19

Answer:

Answer is 9

Step-by-step explanation:

I did the quiz also used a median calculator I don't think this will help but hopefully it dose or something

Answer:

I thikn the answer is B

Step-by-step explanation:

For a geometric series to diverge the absolute value of the common ratio has to be 1 or greater

Answer:

I) ∠2 and ∠5

Step-by-step explanation:

Answer:

10.1m

Step-by-step explanation:

1ft = 0.305m

33ft = 33 x 0.305m = 10.065m ≈ 10.1m

\((f-g)(-4)=f(-4)-g(-4)=[3(-4)^2 +5]-[-2(-4)+2]=\boxed{43}\)

Answer:

Step-by-step explanation:

Reason 2: The box in the corner of the angle indicates that the angle is a right angle, which is 90 degrees.

Statement 3:

m<abd +m<dbc=m<abc

Therefore, the p-value comes out to be 0.0296.

A confidence interval is the range of approximations for an unknown variable in frequentist statistics. The most common confidence level for computing confidence intervals is 95%, however other levels, including 90% or 99%, are sporadically employed.

Here,

null and alternative hypothesis is,

null  hypothesis : p < 0.90

alternate hypothesis : p ≥ 0.90

a)

To make this hypothesis two tailed, statement should be

well-known brokerage firm executive claimed that  90% of investors are currently confident of meeting their investment goals. An XYZ Investor Optimism Survey, conducted over a two-week period, found that in a sample of 800 people, 88% of them said they are confident of meeting their goals.

b)

Here, test statistics is,

Z=\(\frac{p'-p}{\sqrt{p(1-p)/n} }\)

 =(0.88-0.90)/√0.90×(1-0.90)/800

 =-1.886

c)

p-value is 0.0296

Therefore, the p-value comes out to be 0.0296.

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Answer:

3.84 x  10^5

Step-by-step explanation:

Answer:

3.84x10^5

Step-by-step explanation:

count how many times the decimal was moved to the right and that is the exponent

By answering the presented question, we may conclude that In decimal form, the answer is 0.15, which is close to option A, 0.148. As a result, the answer is A. 0.148.

According to Euclidean geometry, a square is an equilateral quadrilateral having four equal sides and four equal angles. It is often referred to as a rectangle with two nearby sides of equal length. A square is an equilateral quadrilateral because it has four equal sides and four equal angles. Square angles are 90-degree or straight angles. Also, the diagonals of the square are evenly spaced and divide at a 90-degree angle. an adjacent rectangle with two equal sides. a quadrilateral with four equal-length sides and four right angles. A parallelogram with two adjacent, equal sides forming a right angle. A rhombus with straight sides.

To determine the answer, multiply the areas of the shaded squares by the overall area of the figure.

Assuming that both squares are the same size, we may combine the fractions using a common denominator:

2/12 + 2/15 = 5/60 + 4/60 = 9/60 = 3/20

As a result, the entire shaded area is 3/20 of the total area of the diagram.

We can't discover the exact area of the graphic because it's not presented. As a result, we can only represent the answer in fractions or decimals.

In decimal form, the answer is 0.15, which is close to option A, 0.148. As a result, the answer is A. 0.148.

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Since you cannot really factor this problem easily, we are going to resort to the quadratic formula!

x= -b+or- sqrt(b^2-4ac)    / 2a

x=-17+ or - sqrt(17^2-4*50)   /2

x=-17+ or - sqrt89 /2

Now we just need estimate sqrt 89 which is about 9.43 and I will not bother to show the step I did to estimate its about 9.43.

So x= -17+ or -9.43 /2

x= -26.43/2 or -7.57/2

x=-13.215 or -3.785

Round to nearest tenth digit.

x= -13.2 or -3.8

Hope this helps any questions just ask in the comments.

125 mg -------------------------- 5 ml

250 mg ------------------------ x

x = (250 x 5) / 125

x = 1250/125

x = 10 ml

The child will receive 10 ml of the suspension

Answer:

1/8, 1/4, 1/5,....

Step-by-step explanation:

Because:

1/8= 0.125

1/4= 0.25

1/5= 0.2

Terminating decimal mean decimal that have finite number of digits after the decimal point.

Hope you understand.

Chances are your teacher doesn't want you to enter any commas. You won't type in the dollar sign either.

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Explanation:

Nice work on selecting the correct equation to set up.

We'll cross multiply to help solve for x.

The idea of cross multiplication is that \(\frac{A}{B} = \frac{C}{D}\) turns into \(A*D = B*C\)

So,

\(\frac{5040}{280000} = \frac{x}{800000}\\\\5040*800000 = 280,000*x\\\\4,032,000,000 = 280,000x\\\\280000x = 4,032,000,000\\\\x = \frac{4,032,000,000}{280,000}\\\\x = 14,400\\\\\)

That means the person would pay $14,400 on a property worth $800,000.

The Present value is $6,139.132.

We have,

FV=100000, pmt = 4000, I =5%, n=10

So, The present value formula is

PV=FV / (1 + \(i)^n\)

So, PV =  100, 000 / (1+ 5/100\()^{10\\\)

PV = 100,000 / (1+ 0.05\()^{10\\\)

PV = 100, 000/ (1.05\()^{10\\\)

PV = 100,000 / 1.6288946

PV= $6,139.132

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For the length of a side of a triangle to be trigonometry triple.

Square of the hypotenuse(Longest side) = square of opposite + square of adjacent

Hence, none of the options are the lengths of the sides of a right triangle.

There is no real Value of k that will satisfy the equation 2x² - x + 8k = 0 if a and 1/a are the roots of the polynomial.

(i) Zeroes of the polynomial:

In the graph, we have two points where the curve intersects the x-axis: one is at (-1,0), and the other is at (2,0).The corresponding values of x are -1 and 2, and they are the zeros of the polynomial. Therefore, the zeros of the polynomial are -1 and 2.(ii) Forming the quadratic polynomial:

From the graph, we can observe that the curve intersects the y-axis at the point (0,5), implying that the constant term of the polynomial is 5.

We can use the formula to find the quadratic polynomial if we have two zeros and one constant term. Thus, the quadratic polynomial is given by:(x + 1)(x - 2) = x² - x - 2x + 2 = x² - 3x + 2. Therefore, the quadratic polynomial is x² - 3x + 2.(iii) Value of k if a, 1/a are the zeroes of the polynomial 2x² - x + 8k:

We know that a and 1/a are the zeroes of the polynomial 2x² - x + 8k. Therefore, we can find the sum and product of the roots and use them to determine the value of k.

The sum of the roots is a + 1/a, and their product is a(1/a) = 1. Using the sum and product of the roots, we can write: a + 1/a = 1/2 (1/2 is the coefficient of x)Substituting a with 1/a in the above equation, we get: 1/a + a = 1/2Multiplying both sides of the equation by 2a, we get: 2 + 2a² = a

Simplifying the equation, we get: 2a² - a + 2 = 0Multiplying both sides by 2,

we get: 4a² - 2a + 4 = 0Dividing both sides by 2, we get: 2a² - a + 2 = 0

Using the quadratic formula, we get: a = [1 ± √(1 - 4(2)(2))]/(2(2))

Simplifying, we get: a = [1 ± √(-31)]/4Since the discriminant of the quadratic formula is negative, the roots are imaginary. Therefore, there is no real value of k that will satisfy the equation 2x² - x + 8k = 0 if a and 1/a are the roots of the polynomial.

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15 because 25% = 0.25 then you multiply 12×0.25=15

Answer:

50%

Step-by-step explanation:

Answer:

B.

Step-by-step explanation:

B.

- 9 ≤ - 3x - 6 ≤ 6

1 part.

- 9  +6 ≤ - 3x - 6 +6

- 3/(- 3) ≤ - 3x/(- 3)

1 ≥ x

2d part

- 3x - 6 +6≤ 6 + 6

- 3x ≤ 12

- 3x/(-3) ≥ 12/(-3)

x ≥ - 4

x ≥ - 4 and x≤ 1