Which line is perpendicular to the line whose equation is 5y + 6 = -3x?

A linear binomial is a factor of a polynomial if the polynomial value is 0 at the zeros of the linear binomial

Assume a polynomial function is

P(x) = (x - 3)(x + 1)(x -2)

And a linear binomial is:

x - 3 = 0

We start by calculating the value of x in x - 3 = 0

x = 3

Next, we substitute x = 3 in P(x) = (x - 3)(x + 1)(x -2)

P(3) = (3 - 3)(3 + 1)(3 -2)

Evaluate

P(3) = 0

Since P(3) = 0, then the linear binomial x - 3 is a factor of P(x) = (x - 3)(x + 1)(x -2)

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Answer:

Step-by-step explanation:

OMG! Don't do that! I am so sorry this is happening to you. Look I don't know how to comfort you. IF he keeps doing this tell your mom or litterally call 911. If he did it just on that day then try confronting him on it. And ask him why he did that! Don't self-harm you deserve so much more than that! You are awesome!

(a) Exponential Minimum (EM) distribution. (b) the mean of each exponential distribution is 400 hours, so the expected value for the lifetime of the system is 400 + 400 = 800 hours. (c) the probability that the system survives beyond 1000 hours.

a) The lifetime of the system, which consists of a primary component and a backup component, follows a distribution known as the minimum of two exponential distributions. This distribution is also known as the Exponential Minimum (EM) distribution.

b) To find the expected value for the lifetime of the system, we can calculate the mean of the EM distribution. The expected value of the EM distribution is given by the sum of the means of the two exponential distributions. In this case, the mean of each exponential distribution is 400 hours, so the expected value for the lifetime of the system is 400 + 400 = 800 hours.

c) To find the probability that the system will survive for more than 1000 hours, we can use the cumulative distribution function (CDF) of the EM distribution. The CDF gives the probability that a random variable is less than or equal to a certain value. Since we want the probability that the system survives for more than 1000 hours, we can subtract the CDF value at 1000 hours from 1. This will give us the probability that the system survives beyond 1000 hours.

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Martin and Janet are in an orienteering race. Martin runs from checkpoint A to checkpoint B, on a bearing. The bearing of A from B is 245 degrees.

To determine the bearing of A from B, we need to consider the relative angle between the line segment connecting the two checkpoints and the north direction.

Since Martin runs from checkpoint A to checkpoint B on a bearing of 065 degrees, the line segment AB forms an angle of 065 degrees with the north direction.

To find the bearing of A from B, we need to determine the reciprocal bearing, which is 180 degrees opposite to the bearing of AB. Therefore, the bearing of A from B would be 065 degrees + 180 degrees = 245 degrees.

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Answer:

25

Step-by-step explanation:

you would root 125 by 3 and then square (because of the 2) to get 25

125^2/3

125=5x5x5

125=5^3

125^2/3=5^3(2/3)

And 5^3(2/3) is 25

Answer:

20 more girls

Step-by-step explanation:

so if 2/5 of the pupils are boys that means 3/5 of the pupils are girls

and 3/5 = 30

to find out how many boys there are we need to find 1/5

1/5 = 10

so theres 10 boys and 30 girls

30-10 = 20

Answer:

hhsjjsjsjsjsjsjsjsjsjsjjz

Step-by-step explanation:

jsjsjsjsjsjsjsjsjsjsjsjdjdjdjdj

The percent change in height after the second bounce would be:

Percent change = [(h_2 - h_1) / h_1] * 100%

The expression \(25(0.93)^x\)represents the height of the ball after x bounces. To find the percent change in height after each bounce, we need to calculate the ratio of the change in height to the original height and express it as a percentage.

Let's denote the height after the first bounce as h_1, the height after the second bounce as h_2, and so on.

The percent change in height after the first bounce is given by:

Percent change = [(h_1 - original height) / original height] * 100%

Using the given expression, we can substitute x = 1 to find h_1:

h_1 = \(25(0.93)^1\) = 23.25

Therefore, the percent change in height after the first bounce is:

Percent change = [(23.25 - original height) / original height] * 100%

To find the percent change after subsequent bounces, we can continue this process. For example, after the second bounce:

h_2 = \(25(0.93)^2\)

And the percent change in height after the second bounce would be:

Percent change = [(h_2 - h_1) / h_1] * 100%

You can repeat this process for each subsequent bounce to find the percent change in height after each bounce using the given expression.

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Answer:

\(width=12\)

Step-by-step explanation:

The formula for the area of a rectangle:

\(Area=length*width\)

Insert the known values:

\(180=15w\)

Solve for w. Isolate the variable by dividing both sides by 15:

\(\frac{180}{15}=\frac{15w}{15} \\\\12=w\)

w is equal to 12, so the width of the rectangle is 12 cm.

:Done

The answer to 3 ÷ 1/3 is 1, so being honest with you I'm not 100% sure if you are right or not, but personally I would do C

I am so so so so sorry if I am wrong!!!

have a luvly day

The degree of a polynomial is the highest power of the variable in the equation. In this case, the equation 2x² 5x³ 7 has the highest power of x being 3, so the degree of the polynomial is 5.

Step 1: Identify the highest power of the variable (x).

Step 2: Count the number of terms in the equation.

Step 3: The degree of the polynomial is the highest power of the variable plus the number of terms minus one.

Step 4: In this case, the highest power of x is 3 and the number of terms is 3, so the degree of the polynomial is 3 + 3 - 1 = 5.

The degree of the polynomial 2x² 5x³ 7 is 5. This can be calculated by taking the highest power of the variable (x) and adding it to the number of terms in the equation (3), and then subtracting 1.

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Answer:

-243 and 729

Step-by-step explanation:

this is a geometric sequence.

to find the nth term of a geometric sequence is given by

U(n) = ar^(n-1)

where n is the term to find, a is first term and r is the common ratio

for this question, a = 1, r = -3/1 = 9/-3 = -3.

we want the 6th and 7th terms.

U(6)  = (1) (-3)^(6-1)

       = (-3)^5

       = -243.

U(7) = (1) (-3)^(7-1)

       = (-3)^6

      = 729

The smallest number of coins you could have had before finding the bag of 53 coins is 371. which is more than 200.

There are seven bags, so there are 7x coins in total:

7x = T.

Since the number of coins in each bag must be an integer, (T + 53) must be a multiple of 8. We know that T = 7x, so we can write this as follows:

(7x + 53) ≡ 0

(mod 8)This means that 7x ≡ 3 (mod 8).

The solutions to this congruence are

x ≡ 3, 11 (mod 8).

Since x is a positive integer, we take

x = 11

(the other possibility, x = 3,

leads to a smaller value for T).

Therefore, T = 7x = 77, and the total number of coins after the bag of 53 coins is found is

T + 53 = 130.

After redistributing the coins into eight equal bags, each bag contains 16 coins.

Therefore, the number of coins you had initially was

7x = 77,

so the smallest number of coins you could have had before finding the bag of 53 coins is

77 - 53 = 24.

After redistributing the coins, you had

8 × 16 = 128 coins left,

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The correct statement regarding the mode of the sample is given as follows:

a. can be larger, smaller or equal to the mode of the population.

The mode of a data-set is the observation that appears the most often in the data-set.

The mode of the sample is simply the most frequently occurring value in the sample. It is not necessarily expected to be the same as the mode of the population, which is the most frequently occurring value in the entire population.

As a sample is a group taken from an entire population, the observation that appears the most in the sample can be different from the more common observation in the population,

Hence, option (a) is correct.

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1. True. This statement is true because it is possible for a function to have a negative value, positive derivative, and negative second derivative over all x values.

2. True. This is because the derivative of a function is the rate of change of the function.

1. This kind of function has an example in f(x) = x^3 - 3x^2. This function has a first derivative off'(x) = 3x^2 - 6x that is positive for all x values, a second derivative of f''(x) = 6x - 6 that is negative for all x values, and is negative for all x values.

2. The rate of change of the function is always non-zero if the derivative is non zero for all x, and the value of the function at any two locations will not be the same.

Hence, if f '(x) exists and is nonzero for every x, then f(10) ≠ f(0). Consider the function f(x) = x2 as an illustration of this. This function's derivative with respect to x is given by the expression f '(x) = 2x, which is non zero for every x.

As a result, f(10) = 102 = 100 and f(0) = 0, which are clearly not equal.

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We calculated that the prism B and Prism D have a volume within the given range.

The prism that is rectangular shaped having six rectangular faces along with twelve edges is called rectangular prism.

Given, there are four rectangular prisms

Prism A has dimension six rows of 2

volume of prism A = 6 x 2 = 12 cubic centimeters

the dimension of prism B = four rows of 2 and three total layers

volume of prism B = 4 x 2 x 3 = 24 cubic centimeters

the dimension of prism C = five rows of three and three total layers

So, volume = 5 x 3 x 3 = 45 cubic centimeters

in the last, Prism D has six rows of 2 and two total layers

hence, volume = 6 x 2 x 2 = 24 cubic centimeters

Therefore, Prism B and D have a volume between 20 and 30 cubic centimeters

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Answer:

We see that GLH is a right isosceles triangle with hypotenuse GH = 13.

The length of GL is

\( \frac{13}{ \sqrt{2} } = \frac{13 \sqrt{2} }{2} \)

Answer:3

Step-by-step explanation:

Just count from -1 to positive 2 the dot doesn’t move

Three types of rigid transformations are Reflection, Rotation, and Translation. Rigid transformation, also called isometry.

A rigid transformation, also called isometry,  is a transformation that doesn't change the size or shape of a geometric figure. The following are 3 types of rigid transformation:

1. Reflection

→  is the act of shifting an object's coordinates that flip it across a line without changing its shape or size. Horizontal (draw a figure to the left or right) or vertical (draw a figure to the up or down) reflections are possible. The result of reflection is a mirror image of the figure itself.  

The figure is reflected across \(x-\) or \(y-\) axis, and then change \(x-\) or \(y-\) coordinate.

2. Rotation

→ is the non-modification of an object's size or shape by rotating it around an fixed point. A center of rotation is required to rotate an object. And the rotation did by using a degree.

The figure is rotated by a degree (ex: 90°), and then change \(x-\) or \(y-\) coordinate. Meanwhile, a point's center rotation stays at the same.

3. Translation

→ is sliding a figure in any direction without changing its size, shape, or orientation. Translation could be horizontal (make a figure left or right),  or vertical reflections (make a figure up or down).

Vertical translation is shifting the graph along  \(y-\) axis

Horizontal translation is shifting the graph along  \(x-\) axis.

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The amount credited from the partial payment made during the discount period is $1,470. The balance on the invoice after the partial payment was made is $1,530.

The payment terms "4/10n/45" indicate that a 4% discount is applicable if the payment is made within 10 days, and the full amount is due within 45 days. Marcus made a partial payment of $1,500 during the discount period.

To calculate the amount credited, we first determine the discount amount by multiplying the invoice amount ($3,000) by the discount percentage (4%). This gives us a discount of $120. Since Marcus made a partial payment of $1,500, we subtract the discount amount from the partial payment to find the credited amount. Therefore, $1,500 - $120 = $1,380. Rounded to the nearest cent, the amount credited is $1,380.

To calculate the balance on the invoice after the partial payment was made, we subtract the credited amount from the remaining balance. The remaining balance is the invoice amount ($3,000) minus the partial payment ($1,500), which equals $1,500. Subtracting the credited amount of $1,380 from this balance, we get $1,500 - $1,380 = $120. Rounded to the nearest cent, the balance on the invoice after the partial payment is $120.

In summary, the amount credited from the partial payment made during the discount period is $1,380, and the balance on the invoice after the partial payment was made is $120.

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The component form of a vector refers to breaking the vector into components with unit vectors denoting the direction of each component. The general component form angled vectors in a two-dimensional space is given by:

\(\vec v=|v|cos\theta\hat{x}+|v|sin\theta\hat{y}\)

where |v| is the magnitude of the vector component and theta is the angle of the vector.

Using the magnitude and angle given for vector u we can write its component form :

\(\vec u=|u|cos\theta_u \hat{x}+|u|sin\theta_u \hat{y}\\\vec u=|5|cos(9)\hat{x}+|5|sin\(9) \hat{y}\\\vec v=5cos9_u\hat{x}+5sin9_u\hat{y}\)

Doing the same for v

\(\vec v=|v|cos\theta_u \hat{x}+|v|sin\theta_u \hat{y}\\\vec v=|1|cos5_u \hat{x}+|1|sin5_u \hat{y}\\\vec v=1cos5_u\hat{x}+sin5_u\hat{y}\)

Now adding both vector together

\(\vec u+\vec v=(5cos9_u\hat{x}+5sin9_u\hat{y})+(cos5_u\hat{x}+sin5_u\hat{x})\\\vec u+\vec v=(5cos9_u\hat{x}+cos5_u\hat{x})+(5sin9_u\hat{y}+sin5_u\hat{y})\)

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Answer:

the answer is 7 fiyfooutdt7odtudoutdup tiff 7tduptftucoutctuco7tc

Answer:

the medium is 7

Step-by-step explanation:

Answer:

35 min

Step-by-step explanation:

given that the total time spent is 140min

and that the time spent reading is x minutes

and also that the time spent doing home work is 2(x+5)

the time spent playing video game is 25

the expression for the total time is given as

total = reading +homework +video game

140=x+2(x+5)+25

solving for x we have

140=x+2x+10+25

140=3x+35

140-35=3x

105=3x

x=105/3

x=35

kenny spent 35 min reading

Time spend for reading is 35 minutes

Given that;

Total number of minutes Kenny have = 140 minutes

Time spend for reading = x

Time spend for homework = 2(x + 5) = 2x + 10

Time spend for games = 25 minutes

Find:

Time spend for reading

Computation:

Total number of minutes Kenny have = Time spend for reading + Time spend for homework + Time spend for games

140 = x + 2x + 10 + 25

3x + 35 = 140

3x = 105

x = 105 / 3

x = 35

So,

Time spend for reading = 35 minutes

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Therefore, the ordered pair of the shifted point is (x - 3, y + 2), where (x, y) is the ordered pair of the original point.

To find the ordered pair that represents a point that is 3 points to the left and 2 points above T, we need to know the coordinates of point T. Without this information, we cannot determine the ordered pair of the point that is 3 points to the left and 2 points above T.

However, we can use the concept of coordinate planes to explain how to determine the ordered pair of a point that is shifted 3 points to the left and 2 points above another point. A coordinate plane is a two-dimensional plane on which we can graph points using their coordinates.

The horizontal axis is called the x-axis and the vertical axis is called the y-axis. The point where the x-axis and the y-axis intersect is called the origin, which is represented by the ordered pair (0, 0).

When we move a point to the left or right, we change the x-coordinate. When we move a point up or down, we change the y-coordinate. If we want to shift a point (x, y) 3 points to the left and 2 points above, we subtract 3 from the x-coordinate and add 2 to the y-coordinate.

Therefore, the ordered pair of the shifted point is (x - 3, y + 2), where (x, y) is the ordered pair of the original point.

Note: Since the coordinates of point T are not provided in the question, we cannot determine the ordered pair of the point that is 3 points to the left and 2 points above T. The given information is not sufficient to solve the problem.

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The 90% confidence interval (0.08, 0.24) suggests that we are 90% confident that the true proportion of both women and men who favor stricter gun control legislation lies within this range based on the survey data.

The 90% confidence interval for the proportion of women (p) and the proportion of men (p) who favor stricter gun control legislation is (0.08, 0.24).

This means that we can be 90% confident that the true proportion of women who favor stricter gun control legislation falls between 0.08 and 0.24, and the true proportion of men who favor stricter gun control legislation also falls between 0.08 and 0.24.

In other words, based on the survey data, we estimate that the proportion of women and men who support stricter gun control legislation is likely to be within this interval.

However, we cannot say with certainty that the true proportions of women and men who favor stricter gun control legislation are exactly within this range, as it is a range of possible values based on the sample data and the level of confidence chosen.

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Answer:

5198.4 grams of sand

Step-by-step explanation:

The bottom cube:

12*12*13= 144*13= 1872

The top pyramid:

144*6= 864

1872+864= 2736 cubic cm

THEN

2736*1.9= 5198.4 g of sand!

Brainliest plsss

Answer:

5.586 kg

Step-by-step explanation:

2940 ×1.9=  5586 kg or 5586 g

The answer to the equation will be 5, and in the second one the answer to the equation when the value of t is 4 resulted as 14We can evaluate the expression "2 + 3t" for the given values of t:

a. When we consider T as 1 then the substitution can be = 1 as the expression

2 + 3t = 2 + 3(1) = 2 + 3 = 5

Therefore, the value of the expression when t is 1 is 5. to the expression of 2+3t.

b. We substitute t = 4 in the expression and get:

2 + 3t = 2 + 3(4) = 2 + 12 = 14

Therefore, the value of the expression when t is 4 is 14. The value can be 14 when its value is 4.

In the first scenario, the answer to the equation will be 5, and in the second one the answer to the equation when the value of t is 4 resulted as 14. if we give any other number the value changes accordingly.

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The correct question of the answer is

Here is an expression: 2 + 3t

a. Evaluate the expression when t is 1.

b. Evaluate the expression when t is 4.

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The sequence of transformations that maps quadrilateral ABCD to A'B'C'D' is:

- Translation - Two units to the right and two units down.

- Reflection over the x-axis.

- Translation.

We have,

To map quadrilateral ABCD to A'B'C'D', we can use a sequence of transformations.

Translation:

We can translate point A to A' by moving it two units to the right and two units down. So, A' = (-1, 3) + (2, -2) = (1, 1).

Similarly, we translate points B, C, and D:

B' = (1, 3) + (2, -2) = (3, 1)

C' = (2, 3) + (2, -2) = (4, 1)

D' = (1, 4) + (2, -2) = (3, 2)

After the translation, we have quadrilateral A'B'C'D' with vertices A' (1, 1), B' (3, 1), C' (4, 1), and D' (3, 2).

Reflection:

Next, we can reflect quadrilateral A'B'C'D' over the x-axis. This will change the signs of the y-coordinates of the vertices.

So, the reflected coordinates are:

A'' = (1, -1)

B'' = (3, -1)

C'' = (4, -1)

D'' = (3, -2)

Translation:

Finally, we can translate quadrilateral A''B''C''D'' two units to the left and two units up. This gives us the final transformed quadrilateral.

A''' = (1, -1) + (-2, 2) = (-1, 1)

B''' = (3, -1) + (-2, 2) = (1, 1)

C''' = (4, -1) + (-2, 2) = (2, 1)

D''' = (3, -2) + (-2, 2) = (1, 0)

Therefore, the sequence of transformations that maps quadrilateral ABCD to A'B'C'D' is:

Translation: Two units to the right and two units down.

Reflection over the x-axis.

Translation: Two units to the left and two units up.

The final transformed quadrilateral A'''B'''C'''D''' is:

A''' (-1, 1)

B''' (1, 1)

C''' (2, 1)

D''' (1, 0).

Thus,

Translate A (-1, 3) to A' (1, 1), reflect over the x-axis, and translate A'' (1, -1) to A''' (-1, 1).

Repeat for the other vertices to obtain the transformed quadrilateral A'''B'''C'''D''' with vertices A''' (-1, 1), B''' (1, 1), C''' (2, 1), and D''' (1, 0).

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Answer:

\(a=10\)

Step-by-step explanation:

Equation 1:  \(2a+3b=-1\)

Equation 2: \(4a+2b=26\)

Subtract 3b from both sides in Equation 1:

\(2a=-1-3b\)

Divide both sides by 2:

\(\frac{2a}{2}=-\frac{1-3b}{2}\)

\(a=\frac{-1-3b}{2}\)

Substitute this into Equation 2:

\(4* \frac{-1-3b}{2}+2b=26\)

\(2\left(-3b-1\right)+2b=26\)

\(-6b-2+2b=26\)

\(-4b-2=26\)

Add 2 to both sides:

\(-4b=28\)

Divide both sides by -4:

\(\frac{-4b}{-4}=\frac{28}{-4}\)

\(b=-7\)

We know that \(a=\frac{-1-3b}{2}\). Plug in b = -7 value:

\(a=\frac{-1-3\left(-7\right)}{2}\)

\(a=\frac{-1+3\cdot \:7}{2}\)

\(a=\frac{20}{2}\)

\(a=10\)