The roots of 3x2 + x = 14 are
1. imaginary
2. real,rational,equal
3.real,rational,unequal
4.real,irrational,unequal

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Answer:

17.83in

Step-by-step explanation:

Diameter of circle with circumference 56 inches 17.81 inches .

Given,

Circumference = 56 inches

Now,

Circumference of circle = 2πr

r = radius of circle.

Substitute the values to get the value of radius,

56 = 2 × π × r

56 = 2× 22/7× r

r = 56 × 7/44

r = 8.909 inches.

Next,

Diameter = 2 (Radius)

Diameter = 2 * 8.909

Diameter = 17.81 inches .

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Answer:

x = 9

m<J = 57

m<K = 44

m<L = 79

Step-by-step explanation:

Theorem:

The sum of the measures of the angles of a triangle is 180°.

We add the measures of the angles, and set the sum equal to 180. Then we solve for x, and use the value of x to find the measure of each angle.

7x - 6 + 3x + 17 + 9x - 2 = 180

Combine like terms on the left side: 7x + 3x + 9x = 19x and -6 + 17 - 2 = 9

19x + 9 = 180

Subtract 9 from both sides.

19x = 171

Divide both sides by 19.

x = 9

Now we find the measure of each angle.

m<J = 7x - 6 = 7(9) - 6 = 63 - 6 = 57

m<K = 2x + 17 = 3(9) + 17 = 27 + 17 = 44

m<L = 9x - 2 = 9(9) - 2 = 81 - 2 = 79

Answer:

3. [tex]190yd^{2}[/tex] 4. [tex]45cm^{2}[/tex]

Step-by-step explanation:

Area of trapezoid = half the sum of the parallel sides/ bases x the perpendicular height

3. Area of trapezoid = [tex]\frac{(b_{1} +b_{2} )h}{2}[/tex]  

                                 = [tex]\frac{(17+21)10}{2}[/tex]

                                 =  [tex]\frac{380}{2}[/tex]

                                 = [tex]190yd^{2}[/tex]

4. Area of trapezoid = [tex]\frac{(b_{1} +b_{2} )h}{2}[/tex]

                                  = [tex]\frac{(4.5+5.5 )9}{2}[/tex]

                                  = [tex]\frac{90}{2}[/tex]

                                  = [tex]45cm^{2}[/tex]

hope this helps :)

In one year, a principal of $1000 led to an accumulation of $1100. The annual percentage yield ( APY ) for this investment is 9 %. False.

The annual percentage yield (APY) is not 9% in this case. The APY takes into account the compounding of interest over the course of a year and provides a more accurate representation of the actual return on the investment. In this scenario, the investment of $1000 growing to $1100 in one year represents a simple interest rate of 10%. The APY would be higher than 10% if the interest was compounded.

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Answer:

2100

Step-by-step explanation:

10,000 x 21%

10000 x 0.21 = 2100

Answer:

Step-by-step explanation:

9x - 1 / 2 + 9/2 x = 0.128886 (43)

2 / 5x - 1b = 4/3 - 1 - 1 = 2x (4)

= x1 + 24 - 3/4 + 8

9/3 - 1 x = /3

Answer:

The answer is c It is hard to explain so sorry

Answer:

C

Step-by-step explanation:

The bus spans from 10 to 20 the absolute value of that is 10 the teachers span from 15 to 30 the absolute value of that is 15 making the teachers 5 miles more than the buses.

The areas under the standard normal curve are:

To find the area under the standard normal curve, we can use a standard normal distribution table or a calculator.

Area from z = 0 to z = 1.46:

Using a calculator, the area under the curve from z = 0 to z = 1.46 is 0.4306.

Area from z = -0.32 to z = 0.98:

Using a calculator, the area under the curve from z = -0.32 to z = 0.98 is 0.6126.

Area from z = 0.07 to z = 2.51:

Using a calculator, the area under the curve from z = 0.07 to z = 2.51 is 0.4959.

Area to the right of z = 2.13:

Using a calculator, the area to the right of z = 2.13 is 0.0161.

Area to the left of z = 1.04:

Using a calculator, the area to the left of z = 1.04 is 0.8508.

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Answer:

18

Step-by-step explanation:

Hello,

In order to solve for x, we need to isolate the variable on one side of the equation.

To do this, we subtract 450 from both sides of the equation, and this will give you:

28.75x = 517.5

As mentioned, we need to isolate x, so we divide both sides by 28.75. This will give the following.

x = 18

Hope this helps!

Answer:

join

Step-by-step explanation:

meet./vyc-hwbw-svg

Answer:

see explanation

Step-by-step explanation:

The equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

(1)

Here m = 2 and (a, b) = (- 1, 3 ) , then

y - 3 = 2(x - (- 1) ), that is

y - 3 = 2(x + 1)

(2)

Here m = - 5 and (a, b) = (4, 0 ) the coordinates of the x- intercept

y - 0 = - 5(x - 4) , that is

y = - 5(x - 4)

9514 1404 393

Answer:

  81 m

Step-by-step explanation:

Since x is seconds after takeoff, the value of x at takeoff is 0. You are being asked to find H(0).

  H(0) = -3(0 -3)^2 +108 = -3(9) +108 = 81

The height of the hovercraft at the time of takeoff is 81 meters.

Answer:

J) x = 6; slope is undefined

Step-by-step explanation:

Choice F is incorrect because the equation and slope. Choice G is incorrect because the slope. And, Choice H is incorrect because the equation and the slope.

The next three terms of the sequence 1, 4, 6, 11, 21, 38 are 70, 123, 216.

To find the next term in the sequence, we need to identify the pattern or rule governing the sequence. Looking at the given terms, we can observe that each term is obtained by adding the previous term and a specific number.

From the given sequence:

4 = 1 + 3

6 = 4 + 2

11 = 6 + 5

21 = 11 + 10

38 = 21 + 17

The difference between the consecutive terms appears to be increasing by 1 each time. So, we can infer that the next difference would be 17 + 1 = 18.

Now, to find the next term:

38 + 18 = 56

56 + 19 = 75

75 + 20 = 95

Therefore, the next three terms of the sequence are 70, 123, 216.

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Answer:

I think the first is answer bcz 35+55=90 ..... 180-90=90

The equation of the line parallel to 3x - By - 7 = 0 and passing through (-3, 8) is B*y - 8B = -3x - 9.

To find the equation of a line parallel to the given line, we need to determine the slope of the given line. The equation of the given line is 3x - By - 7 = 0.

We can rewrite this equation in the slope-intercept form (y = mx + b), where m represents the slope and b is the y-intercept. By rearranging the equation, we have:

By - 7 = -3x

By = -3x + 7

Dividing both sides by B (assuming B ≠ 0):

y = (-3/B)x + 7/B

From the equation y = (-3/B)x + 7/B, we can see that the slope of the given line is -3/B.

Since the line we're looking for is parallel to the given line, it will have the same slope. Therefore, the slope of the line we seek is also -3/B.

We are given that the line passes through the point (-3, 8). We can use the point-slope form of a line to find the equation:

y - y1 = m(x - x1)

Substituting the values (-3, 8) for (x1, y1) and -3/B for m:

y - 8 = (-3/B)(x - (-3))

y - 8 = (-3/B)(x + 3)

Multiplying through by B:

By - 8B = -3(x + 3)

Simplifying:

B*y - 8B = -3x - 9

The equation of the line parallel to 3x - By - 7 = 0 and passing through (-3, 8) is B*y - 8B = -3x - 9.

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Answer:

21 1/2 yd

Step-by-step explanation:

43/4 + 43/4 = 21 1/2 yd

Answer:

y=x-5

Step-by-step explanation:

First, you find the slope by -2-(-5)/3-0. This would be 3/3 which is equal to 1. Then you plug in the x with any point you want. I'm going to use (3,-2). The equation should look like -2=3+y. Now we find what is y. Therefore for this equation to be true. Y is equal to -5. Now put it all together. Y=x-5. You can use the other point to check my answer!  Hope that helps!!

Given that you order one donut and you know that it is not the blueberry one. We need to determine the probability that it is the chocolate one.

Say we have 3 flavors of donuts such as Blueberry, Chocolate and Glazed. There are a total of 3 possibilities for the first choice. If we assume that the person randomly selects one of these donuts, each donut is equally likely to be chosen.

Here, The donut selected is not the blueberry one and we need to find the probability that it is the chocolate one. Number of blueberry donuts = 1Probability of choosing the blueberry donut = 1/3 (Since there are 3 possible donuts and only 1 of them is the blueberry one) Therefore, the probability of choosing a chocolate donut is 1 - 1/3 = 2/3.

Similarly, the probability of choosing a glazed donut is also 2/3. Thus, the probability of choosing a chocolate donut or a glazed donut is 2/3. Answer: 2/3.

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The monthly payment for an $8,720 loan at 12.5 percent for 15 years is $312.84

The formula for calculating the compound interest is expressed as:

A = P(1+r/n)^nt

Given

P = $8720

r = 12.5% = 0.125
n = 12
t = 15

Substitute

A = 8720(1+0.125/12)^180
A = 1.8622 *  8720

A = $56,312.74

Monthly payment = 56,312.74/180
Monthly payment = 312.84

Hence the monthly payment for an $8,720 loan at 12.5 percent for 15 years is $312.84

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I'm having trouble reading, could you type out what is on the picture? I'll edit my answer then.

Answer:

x = -3, y = 3

Step-by-step explanation:

multiply the equation 3y - x = 12 by 3:

=> 9y - 3x = 36

now add the two equation 9y - 3x = 36 and 3x + 4y = 3 together to eliminate x and solve for y:

=>    9y - 3x = 36

 +)   4y + 3x = 3

______________

       13y        = 39

=>       y         = 3

substitute y = 3 into the original equation 3y - x = 12 to solve for x:

3(3) - x = 12

=> -x = 12 - 9

=> -x = 3

=> x = -3

Answer:

x = 0

y = 2

Step-by-step explanation:

2x + y = 2 (Multiply by 2)

x – 2y = -4

4x + 2y = 4

x – 2y = -4

5x = 0

x = 0

2x + y = 2

2(0) + y = 2

0 + y = 2

y = 2

Answer:

The theoretical probabilty of the coin landing on tails is 50/50 so their is a 50% chance of it landing on tails so theoretically it would land on tails 15 out of 30 times

Step-by-step explanation:

From the information you gave me, I am going to guess it is a 4 pack of highlighters.

Answer: $0.60 per highlighter

Explanation: To find the unit rate of an item, take the price ($2.40) and divide it by the amount of the product included (4).

The 95% confidence interval for the true population mean is 53.18 < μ < 58.82

To construct a 95% confidence interval for the true population mean textbook weight, we can use the formula:

CI = x ± Z * (σ/√n)

where:

x is the sample mean,

Z is the critical value for the desired confidence level (95% confidence corresponds to Z = 1.96),

σ is the population standard deviation, and

n is the sample size.

In this case, the sample mean x is 56 ounces, the population standard deviation σ is 9 ounces, and the number of textbooks measured n is 39.

Plugging these values into the formula, we have:

CI = 56 ± 1.96 * (9/√39)

Calculating the values:

CI = 56 ± 1.96 * (9/√39)

CI = 56 ± 1.96 * (9/6.24)

CI = 56 ± 1.96 * 1.44

CI = 56 ± 2.82

Therefore, the 95% confidence interval for the true population mean textbook weight is approximately:

53.18 < μ < 58.82

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Answer:

doing this so other guy gets brainliest

Step-by-step explanation: