What is the slope of the line that passes through the points (-1, 1) and
(-1,4)? Write your answer in simplest form.

Answer

At least 5 laps

Step-by-step explanation:

Divide by 8 on both sides

The value of x in the angles is 15.

When lines intersect, angle relationships are formed such as vertically opposite angles, linear angles etc.

Vertically opposite angles are congruent. Vertically opposite angles have the same vertex.

Therefore, using vertically opposite angles principle,

3x + 7 + 2x + 8 = 90

5x + 15 = 90

subtract 15 from both sides of the equation

5x + 15 = 90

5x + 15 - 15 = 90 - 15

5x = 75

divide both sides by 5

5x / 5 = 75 / 5

x = 15

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Option B. $9,255.75, Only option (b) includes a value close to $1,000, which is the present value of the infinite stream of

To find the present value of an infinite stream of cash flows, we can use the formula:

PV = CF / r

where PV is the present value, CF is the cash flow per period, and r is the interest rate per period.

In this case, CF = $100 (received at the end of each year forever) and r = 10%.

Plugging in the numbers, we get:

PV = $100 / 0.10 = $1,000

So the present value of the infinite stream of cash flows is $1,000.

However, we need to adjust for the fact that the cash flows are received at the end of each year, not at the beginning. To do this, we can use the formula:

PV = CF / (r - g)

where g is the growth rate of the cash flows, which in this case is 0 (since the cash flows are constant).

Plugging in the numbers, we get:

PV = $100 / (0.10 - 0) = $1,000

So the present value of the infinite stream of cash flows received at the end of each year is also $1,000.

Therefore, the answer must include the present value of an infinite stream of cash flows. Only option (b) includes a value close to $1,000, which is the present value of the infinite stream of cash flows.

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Answer: A. Amount of each cashed check.

Step-by-step explanation:

145.95 - 2x = -4.05

2x=150

X=75

Answer:

50 orange drinks are in the machine.

Step-by-step explanation:

40/8 = 5

5*10 = 50

The estimated proportion of college students who drive stick shift cars is calculated with 90% confidence using sample data.

To estimate the proportion of college students who drive stick shift cars, we can use the sample data of 121 cars, out of which 22 have stick shifts. We will construct a confidence interval to estimate the true proportion. Using a graphing calculator, we can perform a proportion confidence interval calculation.

The calculator will take into account the sample size, the number of successes (cars with stick shifts), and the desired confidence level (90% in this case).

The resulting confidence interval will provide an estimate of the proportion of college students who drive stick shift cars. The answer should be rounded to at least three decimal places for accuracy.

This interval will represent a range within which we can be 90% confident that the true proportion of college students who drive stick shift cars lies.

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Rolling two dice and obtaining a perfect square sum and obtaining an even sum are not independent events i.e. the occurrence of one affects the probability of the other occurring.

To determine whether events a and b are independent, let's first find the probability of event a, the sum of the dice being a perfect square. There are 36 possible outcomes when rolling two dice, and 5 of them give a sum of 4 (1+3, 2+2, 3+1, 1+3, 2+2), and 4 of them give a sum of 9 (3+6, 4+5, 5+4, 6+3), so a total of 9 outcomes give a perfect square sum. Therefore, the probability of event a is 9/36 = 1/4.

Now let's find the probability of event b, the sum of the dice being even. There are 18 outcomes that give an even sum: (1+1, 1+3, 1+5, 1+7, 2+2, 2+4, 2+6, 3+3, 3+5, 3+7, 4+4, 4+6, 5+5, 5+7, 6+6, 7+7, 4+2, 6+2). Therefore, the probability of event b is 18/36 = 1/2.

To determine whether events a and b are independent, we need to check whether the probability of event a changes when we know that event b has occurred. If events a and b are independent, then the probability of a given that b has occurred should be the same as the probability of a without considering b.

Let's calculate the conditional probability of event a given that event b has occurred. If the sum of the dice is even, then the only possible ways to get a perfect square sum are with 2+2 or 6+2, so there are only 2 outcomes out of the 18 that satisfy both events. Therefore, the conditional probability of event a given that event b has occurred is 2/18 = 1/9.

Since the conditional probability of a given b is not equal to the probability of a without considering b, we can conclude that events a and b are not independent.

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Answer:

wait.. almost done...

Step-by-step explanation:

Answers:

Larger bottle = 44 gallons

Smaller bottle = 33 gallons

=====================================================

Explanation:

L = capacity of larger bottle

S = capacity of smaller bottle

Capacities are in gallons

We're told the ratio of these capacities is 4 to 3, meaning L/S = 4/3. Note how L goes first on top since 4 is the first number and it's larger than 3.

Cross multiply to get 3L = 4S. We can solve for S to get S = 3L/4.

----------------------------

We're also told that the larger bottle has 11 more gallons than the smaller one, so,

Larger = Smaller + 11

L = S+11

L = (3L/4) + 11 .... plug in S = 3L/4

4L = 4*(3L/4) + 4*11 ... multiply every term by 4

4L = 3L + 44 .... the fraction goes away afterward

4L-3L = 44 .... subtract 3L from both sides

L = 44

The larger bottle can hold 44 gallons

S = 3L/4

S = 3*44/4

S = 3*11

S = 33

The smaller bottle can hold 33 gallons

Note that L-S = 44-33 = 11 to show there's an 11 gallon difference between the larger and smaller bottles. We can also see that L/S = 4/3 is also true because 44/33 = 4/3. This confirms our answers.

Answer:

7.79

Step-by-step explanation:

19 percent of 41 is the same as 19 per hundred of 41. We can therefore make the following equation:

19/100 = X/41

To solve the equation above for X, you first switch the sides to get the X on the left side, then multiply each side by 41, and then finally divide the numerator by the denominator on the right side to get the answer. Here is the work to illustrate:

19/100 = X/41

X/41 = 19/100

X*41/41 = 19*41/100

X = 779/100

X = 7.79

The work above shows the long way to explain how to calculate 19 percent of 41 in order to give you a foundation and better understanding of how to calculate the percentage. In the future, you could use this simplified formula:

(Y * P)/100

In our problem "What is 19 percent of 41?", Y is 41 and P is 19:

(41 * 19)/100 = 7.79

And once again you see that the answer is 7.79.

The probabilities values in the questions are 7/25 and 7/13

The probability that both students are girls

From the question, we have the following parameters that can be used in our computation:

Class = 26

Girls = 14

Boys = 12

The probability that the students are girls is calculated as

P = Girl/Class * (Girl - 1)/(Class - 1)

Substitute the known values in the above equation, so, we have the following representation

P = 14/26 * 13/25

Evaluate

P = 7/25

This is calculated as

P(First given Second) = (Both girls)/P(Second is girl)

So, we have

P(First given Second) = (7/25)/(13/25)

Evaluate

P(First given Second) = 7/13

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Step-by-step explanation:

Hi there!

Given;

f(x) = 17x + 9

h(x) = 4x

To find: f(x)-h(x)

f(x)-h(x)= 17x + 9 - 4x

= 13x + 9

Therefore, f(x)-h(x) = 13x + 9.

Hope it helps!

Answer:

B. Substitution

Step-by-step explanation:

B. Substitution.

The reason is substitution because you are substituting the given measures of Angles A and B into the equation.

Answer:

true

Step-by-step explanation:

log2(5x+3)=log2(4x-3)

log2(5x+3)/log2(4x-3)

division turns to minus

log2(5x+3-4x-3)

log2(x)

Answers:

2) N = -5

4) M = -6

6) X = -2

8) B = 18

Answer:

f(- 3) = g(- 3)

Step-by-step explanation:

f(x) and g(x) are equal at the point of intersection.

When x = - 3 , f(- 3) = - 4 and g(- 3) = - 4

Thus

f(- 3) = g(- 3)

The green line project aims to create a new suburban railway line connecting Ali Town Orange line station to Kalma Chowk Metro station. It involves tendering, planning, underground tunneling, route definition, construction, and legal considerations. To successfully execute the project, the following aspects need to be considered:

1. Depth of knowledge: Students should refer to available literature related to the life cycles of mega projects to gather relevant information.

2. Analysis of ground issues: Students must identify and analyze conflicts that may arise during the project's life cycle, including conflicts among stakeholders.

3. Familiarity with normal track versus fast track construction: Students should understand the differences between these two approaches and evaluate their applicability to this project, considering existing overground roads and traffic diversions during construction.

4. Stakeholder involvement: Students should have a clear understanding of the stakeholders involved in the project and their respective stakes throughout the life cycle.

5. Efficient project planning: Students are expected to utilize available knowledge to plan the project in a way that minimizes conflicting requirements and adverse effects on people during construction.

6. Organizational structure: Consideration should be given to establishing a better organizational structure for the project, ensuring effective coordination and management.

The green line project requires a thorough understanding of its life cycle, stakeholder involvement, complex problem-solving, and the concept of normal track versus fast track construction. By addressing these aspects, the project can be planned and executed efficiently while minimizing conflicts and adverse effects.

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The formula for finding the standard deviation for a binomial distribution is σ2=npq. f.

What means binomial distribution?

When each trial has the same probability of achieving a given value, the number of trials or observations is summarized using the binomial distribution.

For each random variable X, the binomial distribution formula is given by;

P(x:n,p) = nCx px (q)n-x

Where,

n = the number of experiments

x = 0, 1, 2, 3, 4, …

p = Probability of Success in a single experiment

q = Probability of Failure in a single experiment = 1 – p

formula for finding standard deviation of a binomial distribution is npq. f.

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Answer:

centre = (2, - 3 ) and radius = 5

Step-by-step explanation:

the equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k ) are the coordinates of the centre and r is the radius

given

x² + y² - 4x + 6y - 12 = 0 ( add 12 to both sides )

x² + y² - 4x + 6y = 12 ( collect x/ y terms )

x² + 4x + y² + 6y = 12

using the method of completing the square

add ( half the coefficient of the x/ y terms )² to both sides

x² + 2(-2)x + 4 + y² + 2(3)y + 9 = 12 + 4 + 9

(x - 2)² + (y + 3)² = 25 ← in standard form

with (h, k ) = ( 2, - 3 ) and r = \(\sqrt{25}\) = 5

Answer:

center of the circle = (2, -3)

radius of the circle = 5

Step-by-step explanation:

Equation of a circle

\((x-a)^2+(y-b)^2=r^2\)

(where (a, b) is the center and r is the radius)

Given equation:

\(x^2+y^2-4x+6y-12=0\)

Collect like terms:

\(\implies x^2-4x+y^2+6y-12=0\)

Add 12 to both sides:

\(\implies x^2-4x+y^2+6y=12\)

Complete the square for both variables.

Add 4 to both sides for x.  Add 9 to both sides for y.

\(\implies x^2-4x+4+y^2+6y+9=12+4+9\)

\(\implies (x^2-4x+4)+(y^2+6y+9)=12+4+9\)

Factor the two variables:

\(\implies (x-2)^2+(y+3)^2=25\)

Therefore:

Answer:

The actual cities are 40 miles apart.

Explanation:

Given that the distance between two cities on a map is 4 inches.

And the scale is;

It means that 1 inch on the map represent 10 miles on the actual length.

So for 4 inches on the map, the actual length will be;

Therefore, the actual cities are 40 miles apart.

Answer:

15

Step-by-step explanation:

the range is the largest number take away the smallest number

56-41=15

Hardwork, strong motivation and ambition is required to achieve A * in A level math.

Achieving good grade in mathematics is always difficult to the student.

Mathematics is different from all other subject we have in our curriculum.

It is extremely tough for a student to obtain prestigious grade in math except he will follow the particular method of learning and practicing.

First of all, a student has to pay more time for math learning than any other subject in a day. He must try to realize each question properly and the way it is solved. If he has confusion to catch up, instantly he must ask any expert as well as the teacher. Secondly, he should try to solve a lot of problems by himself not only his textbooks, but also other books of mathematics written by expert. While solving math problems he should be motivated and try to solve harder to more hard problems by himself and carefully observe in which method he is approaching to match the result. In the next, he should have a strong ambition to achieve a prestigious outcome in the A level exam and for this earning A* in mathematics is mandatory. Besides, a quiet and calm studying environment is the claim of each student for paying attention properly.

Finally, a student should keep in mind that he must not get nervous during his examination.

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Answer:

coefficients- 3  2  -1

constant terms-  -1

like terms- 3r & 2r

Step-by-step explanation:

:)

Answer: 0.335

Step-by-step explanation:

all 10 to the 2nd power is its multiplying its self twice so if theirs a 3 its gonna be 10x10x10 i did 33.5 ÷ 100

The measure of angle A will be (180-B)°. If B is 30° then angle A will be 150°.

A parallelogram is a closed quardilatral whose sum of all the angles is calculated to be 360° . In the parallelogram ABCD, let x be any angle. According to the properties of a paralleogram, the adjecent angles of any angle x are equal and (180-x)°. So, the angles of the parallelogram ABCD will be x°, (180-x)°,   x°, (180-x)°. And the sum of all these angles will always calculated to be 360° .

In order to find all the other angles of the parallelogram, atleast one angle should be known. Let's suppose the angle B to be 30°. The the other angles will be C= 150°, D=30°, A=150°.

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The correct question is :

Given the parallelogram ABCD, determine the measure angle A, if angle B is 30°.

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Answer:

Work shown below!

Step-by-step explanation:

2. \(g(x)=\frac{1}{2}x+5\)

\(g(4) =\frac{1}{2}*\frac{4}{1} +5= 2+5=7\)

\(g(-10)=\frac{1}{2}*\frac{-10}{1}+5=-5+5=0\)

\(g(0)=\frac{1}{2} *\frac{0}{1} +5=0+5=5\)

Answer:

B

Step-by-step explanation:

B is incorrect it should be 4x-2=3x+6

Human eyes have an average diameter of 24 thousandths of a meter. White blood cell size equals 0.002 millimeters in diameter. The diameter of the human eye is 12000 greater then the diameter of the white blood cell.

Given that,

Human eyes have an average diameter of 24 thousandths of a meter. White blood cell size equals 0.002 millimeters in diameter.

We have to calculate which the number is greater diameter.

By dividing the Human eyes have an average diameter of 24 thousandths of a meter. White blood cell size equals 0.002 millimeters in diameter.

We get,

\(\frac{24}{0.002}\)

=12000

Therefore, the diameter of the human eye is 12000 greater then the diameter of the white blood cell.

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Answer:

(-6,8)

Step-by-step explanation:

SANA NAKATULONG AKO

CORRECT ME IF I WRONG

Answer:

(-6, - 8)

Step-by-step explanation:

\(\begin{cases}y = x - 2....(1)\\ \\2x + 4 = y....(2)\end{cases} \\ \\ from \: equations \: (1) \: and \: (2) \\ \\ 2x + 4 = x - 2 \\ \\ 2x - x = - 2 - 4 \\ \\ x = - 6 \\ \\ y = - 6 - 2 \\ \\ y = - 8 \\ \\ (x \: \: y) = ( - 6 \: \: - 8)\)

Answer:

slope is 12

Step-by-step explanation:

y = 12x - 19

comparing above equation with y =mx+c

we get

m=12