write in slope intercept form the equasion of the line that is perpendicular to the line y=-1/2x+1 and passes through the point (8,5)

Answer: The probability that the spinner will stop on an even number or a multiple of 3 is 23≈0.67 2 3 ≈ 0.67 .

Answer:

1%

Step-by-step explanation:

Divide the defective amount by the number of items and multiply into 100, to get the percentage as follows:

5/500 × 100 = 1%

The solution set of the given homogeneous system in parametric vector form is (x1,x2,x3)=(s,-2,-5)

Parametric vector form:

If there are m-free variables in the homogeneous equation, the solution set can be expressed as the span of m vectors:

x = s1v1 + s2v2 + ··· + sm vm. This is called a parametric equation or a parametric vector form of the solution.

A common parametric vector form uses the free variables as the parameters s1 through sm

Given is a system of equations

We are to solve them in parametric form.

x1 + 3x2 + x3 = 0 --------(1)

-4x1 + 9x2 + 2x3 = 0 ---------(2)

-3x2 - 6x3 = 0--------(3)

From equation(3)

-3x2=6x3

x2=-2x3

substitute in equation(1) and equation(2)

x1+3(-2x3)+x3=0

x1-6x3+x3=0

x1-5x3=0

x1=5x3

So the solution in parametric form is (x1,x2,x3) = (s,-2,5) for all real values.

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Answer:

y = 255x + 6559

Step-by-step explanation:

Function Modeling

We have the following relationship between the minutes into the ride (x) and the elevation of the tram (y):

x={2,5,9,14}

y={7069,7834,8854,10129}

We first test if the relationship is linear or not.

A linear relationship is tested by calculating the slope from any pair of points.

Suppose we know the line passes through points A(x1,y1) and B(x2,y2). The slope can be calculated with the equation:

\(\displaystyle m=\frac{y_2-y_1}{x_2-x_1}\)

Selecting the first two points (2,7069) and (5,7834)

\(\displaystyle m=\frac{7834-7069}{5-2}=\frac{765}{3}\)

m = 255

Selecting the first two points (5,7834) and (9,8854)

\(\displaystyle m=\frac{8854-7834}{9-5}=\frac{1020}{4}\)

m=255

If we repeat the calculation with any pair of points, we get the same value for the slope, thus we can conclude the relationship is linear.

Using the point-slope form of the line:

y - k = m( x - h )

We select the point (2,7069)

y - 7069 = 255( x- 2 )

Operating:

y - 7069 = 255x - 510

Adding 7069:

y = 255x - 510 + 7069

y = 255x + 6559

The probability of obtaining a head on the next toss of a coin after obtaining two heads from two tosses is still 1/2 or 50%.

This is because each coin toss is an independent event, and the outcome of one toss does not affect the outcome of another toss. Therefore, the fact that two heads have been obtained in the previous two tosses does not change the probability of obtaining a head on the next toss, which is always 1/2 or 0.5 for a fair coin.

Probability is the likelihood of an event occurring. The values are between 0 and 1. The closer it is to 1, the greater the probability.

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The expression a d - b c evaluates to 7/6. The expression a d - b c evaluates to 1/3.

To evaluate the expression a d - b c, we substitute the given values of the variables a, b, c, and d into the expression and perform the arithmetic operations.

Given:

a = 1/2

b = -1

c = -(2/3)

d = 2

Substituting these values into the expression, we have:

(1/2)(2) - (-1)(-(2/3))

Simplifying each term:

(1/2)(2) = 1

-(-1)(-(2/3)) = -1(-2/3) = 2/3

Substituting the simplified values back into the expression, we have:

1 - 2/3

To subtract fractions, we need a common denominator, which in this case is 3. Rewriting the expression with a common denominator, we have:

3/3 - 2/3

Subtracting the fractions, we get:

1/3

Therefore, the expression a d - b c evaluates to 1/3.

In summary, by substituting the given values of the variables into the expression and performing the necessary arithmetic operations, we find that a d - b c evaluates to 1/3.

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Answer:

B

Step-by-step explanation:

Answer:

£45.84375

Step-by-step explanation:

To top up the tank he needs:

1200 - 450 = 750 liters

Since the price of oil is 81.5p per liter and he gets a 7.5% discount, the discount per liter is:

81.5 x 7.5/100 = 6.1125p

Since he needs 750 liters, the discount in total is:

6.1125 x 750 = 4584.375p

Since 1p = £0.01

The discount he gets in £ is:

4584.375 x 0.01 = £45.84375

Answer:

4.24 aq. in. I think

Step-by-step explanation:

Answer:

First, do 4x*4x. then,16x*16x. next, 64x*64x. and,256x*256x. answer:1024x. Divide 1024x by 8x. answer to that is 128.

Answer:

The expression in simplified form:

\(\frac{4x^5}{8x}=\frac{x^4}{2}\)

Step-by-step explanation:

Given the expression

\(\frac{4x^5}{8x}\)

We need to simplify the expression.

Simplifying the expression

\(\frac{4x^5}{8x}\)

Cancel the common factor: 4

\(=\frac{x^5}{2x}\)

Cancel the common factor

\(=\frac{x^4}{2}\)

Therefore, the expression in simplified form:

\(\frac{4x^5}{8x}=\frac{x^4}{2}\)

The object hits the ground after 17.5 seconds.

f(x) = ax2 + bx + c, where a, b, and c are integers and an is not equal to zero, is a quadratic function. A parabola is the shape of a quadratic function's graph. Although the "width" or "steepness" of a parabola can vary as well as its direction of opening, they always have the same fundamental "U" form.

The height of an object modeled by the function:

h(t) = −16t^2 + 4900

The object hits the ground when h(t) = 0

The equation becomes:

0 = −16t^2 + 4900

-16t² = -4900

t² = 4900/16

t² = 306.25

t = √306.25

t = 17.5 secs

Thus, the object hits the ground after 17.5 seconds.

Complete question: An object is 4900 ft above the ground. The object falls, and its height is given by the quadratic function: h(t) = −16t 2 + 4900. The height of the object above the ground is in feet and the time, t, is in seconds. Determine when the object hits the ground.

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The percentage increase in the price of petrol when increased from 12,58 per litre to 13,28 per litre is 5.56%

The change in the price of the petrol is given as

Increased from 12,58 per litre to 13,28 per litre.

This means that the change in the price is

Change = 13.28 - 12.58

Evaluate the difference

Change = 0.7

The percentage increase in the price of petrol is then calculated as

Percentage = 0.7/12.58 * 100%

Evaluate the prodcuts

Percentage = 5.56%

Hence, the change is 5.56%

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Answer:

x>-1.5

Step-by-step explanation:

Answer:

step 1 was wrong she should have added 25 to both sides

Step-by-step explanation:

step 3 was correct she divided both sides by -5

The major shortcoming of the general linear probability model y = β0 + β1x1 + β2x2 + … + βkxk + ε, is that the predicted values of y can be sometimes greater than 1 or less than 0.

The linear probability model does not take into account the fact that probabilities are bounded between 0 and 1. As a result, the predicted values of y can sometimes fall outside of this range, which is not meaningful or interpretable in terms of probability. To address this issue, alternative models such as logistic regression or probit regression can be used, which are specifically designed to model probabilities and ensure that predicted values fall within the appropriate range. These models use non-linear functions to map the values of the independent variables to probabilities, thereby avoiding the problem of predicted values falling outside the valid range.

Therefore,the major shortcoming of the general linear probability model y = β0 + β1x1 + β2x2 + … + βkxk + ε, is that the predicted values of y can be sometimes greater than 1 or less than 0.

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Answer:

c and d. just did the lesson and its those two.

Step-by-step explanation:

Answer:

the person above me is right

Step-by-step explanation:

Answer:

4. rise

match the following definition with the correct term:

the vertical distance between two points on a line

1. run

2. rate of run

3. slope

4. rise

Answer:

G = 180 - 80 = 100 degrees

Step-by-step explanation:

Since the sum of the interior angles of a triangle is 180 degrees, we can start by finding the measure of angle D:

180 - (70 + 30) = 80 degrees

Now we can use the fact that angles E and F are vertical angles (opposite angles formed by the intersection of two lines) to find their measures:

E = 70 degrees

F = 30 degrees

Finally, we can find the measure of angle G by using the fact that angles D and G form a straight line, which means their sum is 180 degrees:

The probability that the sample mean will be between 181 and 185 is 0.3039.

Given,

The mean of a population, μ = 180

Standard deviation, σ = 36

Number of sample observations, n = 84

We have to find the probability that the sample mean will be between 181 and 185;

Lets convert 181 and 185 into z scores;

z = (x - μ) / (σ/√n)

z = (181 - 180) / (36/√84)

z = 1/3.93

z = 0.25

z = (185 - 180) / (36/√84)

z = 5 / 3.93

z = 1.27

Lets look z score table;

The area to the left of z = 0.25 is 0.5987

The area to the left of z = 1.27 is 0.8980

The probability that the z is between 0.25 and 1.27 would be 0.8980 – 0.5887 = 0.3039.

That is,

The probability that the sample mean will be between 181 and 185 is 0.3039.

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Answer: 5.9

9.94 rounded to the nearest tenth is 5.9

Plz mark brainliest:)

Answer:

200 ft^3

Step-by-step explanation:

Volume of rectangular prism equation is

\(V=lwh\)

steps in attachment

The length of the entire tunnel is 127.88 meters by using cosine law or formulae.

Here we can use the formulae of cosine when two sides a and b and angle between then is given we can apply it.

\(c^{2} =a^{2} +b^{2} -2ab cos (\alpha )\)

Let us take surveyor as point A

one end of the tunnel denoted by point B

other end of the tunnel denoted by point C.

The length of AB is 101 meters

length of AC is 120 meters.

Measure of angle at point A = 42° + 28° =70°

Now lets find the length of tunnel

=\(\sqrt{(120^{2})+(101^{2})-2.(120)(101) cos (70) }\)

=\(\sqrt{14400+10201-24240(0.34)}\)

=\(\sqrt{24601-8246}\)

\(\sqrt{16355}\)

=127.88 meters.

Hence the length of the entire tunnel is 127.88 meters.

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Answer:

x^2 + 8x + 7 and x(x + 8) + 7

Step-by-step explanation

ANSWER

[5, ∞)

EXPLANATION

First we have to solve each inequality separately:

And the other inequality

Graphing this solution set:

Solution x ≥ 5 includes solution x ≥ 1, so the solution is [5, ∞)

Answer:

2x is a common factor because it can be used to dive all three values without a remainder

Step-by-step explanation:

A factor is a number that can divide another number perfectly. That is without anything remaining.

We will now divide each of the expressions by 2x to show that 2 x is a factor of all three expressions

4x2 divided by 2x

In this, 2x will cancel out x2 to give 4 as the answer.

This shows 2x is a factor.

8xy divided by 2x

In this, x will divide x to give 1

2 will divide 8y to give 4y.

This shows 2x is a factor, since there was a perfect division throughout.

6wx divided by 2x

In this, x will divide x to give 1

2 will divide 6w to give 4y.

This shows 2x is a factor, since there was a perfect division throughout.

Therefore, 2x is a common factor of the three expressions below 4x2, 8xy and 6wx

Answer:

Yes, they are correct. Hernando divided 6 by 6.

Step-by-step explanation:

Given that:

Hernando ate 2/8 of a pizza for dinner.

Let the pizza be x. Then:

Hernando ate \(\dfrac{2}{8} \ \ o f \ \ x\)

Then he gave the rest of the pizza to his friends

Hernando now carried out the  following calculations to support his activities;

\(\dfrac{6}{8} \div 6= \dfrac{6 \div 6}{8}= \dfrac{1}{8}\)

\(\dfrac{6}{8} \times \dfrac{1}{6}= \dfrac{6 \div 6}{8}= \dfrac{1}{8}\)

From the above calculation; we will see that Hernando divided 6 by 6 in both cases to get \(\dfrac{1}{8}\).

Thus, the correct answer is:

Yes, they are correct. Hernando divided 6 by 6.

Answer:

A Yes, they are correct. Hernando divided 6 by 6. on edge

Step-by-step explanation:

hope this helps:)

Answer:

Step-by-step explanation:

(-x+8)(3x2-2x+2)

-3x3-2x2-2x+24x2-16x+16

-3x3+24x2-2x2 -16x-2x+16

-3x3+22x2-18x+16

-(-3x3 +22x2-18x+16

3x3-22x2 +18x-16

Answer:

4(2x-3)(2x + 3)

Step-by-step explanation:

Here, we want to simplify the given expression

we can have;

16x^2-36

= 4(4x^2 -9)

we can use the difference of two squares

where;

a^2 - b^2 = (a-b)(a + b)

= 4(2x-3)(2x+ 3)

Answer:

1. $6

2.$230

Step-by-step explanation:

Base it of the tenths place. If it is more than five you round up

Answer:

$6 and $230

Step-by-step explanation: