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What is an equation of the line that passes through the points (6,2) and
(-6,-8)? Put your answer in fully reduced form.

Given that the length of one of the sides of the triangle is the radius, the length of the other leg of the triangle is also 6 units.

Therefore, this is an instance of a 45-45-90 triangle. The value of x can now be solve by

Given that the side length of the 45-45-90 triangle is 6 units, the length of the hypotenuse x is

Since, a prime number is whole number higher than one that cannot be divided exactly by any other whole number than itself and one. No, there are many prime numbers.

A whole number higher than one that cannot be divided exactly by any other whole number than itself and one is a prime number.

Complete numbers the range of numbers that includes zero and natural numbers. not a decimal or fraction.

Prime number 2,5,7,13, ......

so there are multiple prime numbers.

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a) The first 4 terms of the sequence n + 5 are 6, 7, 8, and 9. The 10th term is 15.

b) The first 4 terms of the sequence 2n - 1 are 1, 3, 5, and 7. The 10th term is 19.

a) n + 5

The given sequence is n + 5. We can find the first 4 terms by substituting the values of n from 1 to 4.

Then we can find the 10th term by substituting n = 10.

1st term = n + 5 = 1 + 5 = 6

2nd term = n + 5 = 2 + 5 = 7

3rd term = n + 5 = 3 + 5 = 8

4th term = n + 5 = 4 + 5 = 9

10th term = n + 5 = 10 + 5 = 15.

So, the first 4 terms of the sequence n + 5 are 6, 7, 8, and 9. The 10th term is 15.

b) 2n - 1.

The given sequence is 2n - 1. We can find the first 4 terms by substituting the values of n from 1 to 4. T

hen we can find the 10th term by substituting n = 10.

1st term = 2n - 1 = 2(1) - 1 = 1

2nd term = 2n - 1 = 2(2) - 1 = 3

3rd term = 2n - 1 = 2(3) - 1 = 5

4th term = 2n - 1 = 2(4) - 1 = 7

10th term = 2n - 1 = 2(10) - 1 = 19.

So, the first 4 terms of the sequence 2n - 1 are 1, 3, 5, and 7. The 10th term is 19.

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The students who read newspapers is 30, and the read story books is 90.

Let number of students read newspapers as N and story books as S.

We have

Out of 110 students, 10 read neither newspaper nor story book.

This means that these 10 students are not included in either N or S.

As, students who read story books is three times read newspapers. then, S = 3N.

So, the total number of students who either read newspapers or story books is given by:

= 110 - 10

= 100

and, the total number of students who either read newspapers or story books is given by:

N + S - 20 = 100

Substituting S = 3N, we have:

N + 3N - 20 = 100

4N - 20 = 100

4N = 120

N = 30

Now, we can calculate the number of students who read story books:

S = 3N = 3 c 30 = 90

Therefore, the students who read newspapers is 30, and the read story books is 90.

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One product/service that is currently in the decline stage is DVD rentals. The decline can be attributed to the rapid rise of digital streaming platforms and the decreasing popularity of physical media. Companies competing in a declining market have strategic options such as harvesting and divesting. Harvesting involves maximizing profits from the declining product/service by reducing costs and maintaining a loyal customer base, while divesting involves exiting the market and reallocating resources to more profitable ventures.

DVD rentals are in the decline stage of the product lifecycle due to several factors. The advent of digital streaming platforms like Netflix, Hulu, and Amazon Prime Video has revolutionized the way people consume media. The convenience and vast content libraries offered by these platforms have led to a significant decline in DVD rentals. Moreover, the proliferation of high-speed internet connections and the increasing availability of streaming devices have made it easier for consumers to access digital content.

In a declining market, companies have strategic options to consider. One option is harvesting, which involves maximizing profits from the declining product/service. Companies can achieve this by reducing costs associated with production, distribution, and marketing, as the demand for the product/service diminishes. They may also focus on retaining their loyal customer base by providing incentives, discounts, or exclusive offers. For example, DVD rental companies may lower rental fees, offer bundle deals, or introduce loyalty programs to retain their remaining customers.

Another strategic option is divesting, which involves exiting the declining market altogether. Companies may choose to reallocate their resources to more profitable ventures or invest in emerging technologies or industries. In the case of DVD rentals, companies could divest by shutting down physical rental stores and selling off their DVD inventory. They could then shift their focus to digital streaming services or invest in other areas with growth potential, such as content production or streaming device manufacturing.

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Answer:

x + y = 42

4x + 14y = 568

x = 2, y = 40

Step-by-step explanation:

x + y = 42

4x + 14y = 568

to solve, you can let 'x' = 42-y and substitute this expression for 'x' in the second equation to get:

4(42-y) + 14y = 568

168 - 4y + 14y = 568

168 + 10y = 568

10y = 400

y = 40

therefore, x = 2

check:

4(2) + 14(40) should equal 568

8 + 560 = 568

We can write the value of 6 hundred thousandths by using multiplication and the required value is 6,00,000.

This problem can be done by using multiplication. Like 6 hundred can be multiplied with the thousand then the value gets. We can write the value of 6 hundred thousandths by using multiplication and the required value is 6lakhs.

In mathematics, the number has ones place, tens place and hundreds place, thousands place. So, by that we can conclude the required value.

The value can be get by multiplying the given terms

Given 600 and multiplied by thousandths

600 * 1000 = 6,00,000

So, the required value is 6 lakhs or 6,00,000.

Therefore, this problem can be done by using multiplication. Like 6 hundred can be multiplied with the thousand then the value gets. We can write the value of 6 hundred thousandths by using multiplication and the required value is 6lakhs.

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Answer:

16x² + 2x + 9

Step-by-step explanation:

To evaluate h(- 2x) , substitute x = - 2x into h(x), that is

h(- 2x)

= 4(- 2x)² - (- 2x) + 9

= 4(4x²) + 2x + 9

= 16x² + 2x + 9

(a) The location of the centroid of the channel's cross-sectional area is 72.4 mm.

(b) The moment of inertia of the area about this axis is 2.9 x 10^8 mm^4.

Given: Length a = 310 mm Width b = 270 mm Thickness c = 40 mm

Formula used: Centroidal distance of area = [(b × t/2) × (2t/3) + (a × t) × (t/2)] / (2bt + at) = [(bt² + 3at²) / 6(a+b+t)]

Moment of Inertia = 1/12 bt³ + (c²/12) + (t/2) (t/2) [(b/2) - c/2]² + 1/12 at³ + (t/2) (t/2) [(a/2) - c/2]²

(a) To determine the location of the centroid of the channel's cross-sectional area, use the given formula.

The given values are: Length a = 310 mm, Width b = 270 mm, Thickness c = 40 mm.1

Substituting the given values in the formula:

Centroidal distance of area = [(b × t/2) × (2t/3) + (a × t) × (t/2)] / (2bt + at) = [(bt² + 3at²) / 6(a+b+t)]

Centroidal distance of area = [(270 x 40² + 3 x 310 x 40²) / 6 (270 + 310 + 40)] = 72.4 mm.

Therefore, the location of the centroid of the channel's cross-sectional area is 72.4 mm.

(b) To determine the moment of inertia of the area about this axis, use the given formula.

The given values are

Length a = 310 mm, Width b = 270 mm, Thickness c = 40 mm.

Substituting the given values in the formula:

Moment of Inertia = 1/12 bt³ + (c²/12) + (t/2) (t/2) [(b/2) - c/2]² + 1/12 at³ + (t/2) (t/2) [(a/2) - c/2]²

Moment of Inertia = (1/12 x 270 x 40³) + (40²/12) + (20²) [(270/2) - 40/2]² + (1/12 x 310 x 40³) + (20²) [(310/2) - 40/2]²

Moment of Inertia = 2.9 x 10^8 mm^4

Therefore, the moment of inertia of the area about this axis is 2.9 x 10^8 mm^4.

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Answer:

The answer is below

Step-by-step explanation:

When you fill your coffee at a gas station, you're supposed to get 8 ounces of coffee with a standard deviation of .7 ounces. A random sample of 50 "8 ounce" coffees is collected and measured and the mean was found to be 7.8 ounces. a) Find a 90% confidence interval. b) Interpret the confidence interval in the context.

Solution:

The confidence = 90% = 0.9, mean (μ) = 7.8 ounces, standard deviation (σ) = 0.7 ounces, sample size (n) = 50

α = 1 - C = 1 - 0.9 = 0.1

α/2 = 0.1 / 2 = 0.05

The z score of α/2 is the same as the z score of 0.45 (0.5 - 0.05) which is equal to 1.65

The margin of error (E) is given by:

\(E = z_\frac{\alpha}{2} *\frac{\sigma}{\sqrt{n} } \\\\E=1.65*\frac{0.7}{\sqrt{50} } =0.16\)

The confidence interval = μ ± E = 7.8 ± 0.16 = (7.64, 7.96)

b) This means that we are 90% confident that any selected coffee has a weight between 7.64 ounce to 7,96 ounce

The number of possible ways to select two vehicles = 55

Let m represents the number of cars and n represents the number of trucks.

An auto dealer has 5 different cars and 6 different trucks.

This means that m = 5 and n = 6

so, the total number of vehicles (t) would be,

t = m + n

t = 5 + 6

t = 11

Let us assume that p represents the number of possible ways to select two vehicles.

We use the combination formula.

\(^{n}C_r=\frac{n!}{r!(n-r)!}\)

here, n = 11 and r = 2

Using combination formula,

p = \(^{11}C_2\)

p = \(\frac{11!}{2!\times (11-2)!}\)

p = 55

Therefore, the number of possible ways = 55

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Answer:

the answer is 17

Step-by-step explanation:

you get this by adding all numbers together 5+7+5+7+10=34 you then to make the total and devide it by 2 to get the median

34/2=17

Statement:

R is the midpoint of QS.

To find out:

The measure of QS.

Solution:

Answer:

QS is 76.

Hope you could understand.

If you have any query, feel free to ask.

Answer:

l*b*h is the answer of this question

Answer:

12 counting the one you're eating

Step-by-step explanation:

Answer:

35%

Step-by-step explanation:

7/20 = 35%

Answer:

Step-by-step explanation:

7 /20  =  0.35  = 35%

Given:

Diameter of the tennis ball = 14 inches.

Three tennis balls are fit in a cylindrical tennis ball cane.

To find:

The volume of air left between the balls and the cane​.

Solution:

Diameter of the tennis ball = 14 inches.

Radius of the tennis ball = 7 inches

Radius of tennis ball is equal to radius of cane. So,

Radius of the cane = 7 inches

Height of cane is:

\(3\times 14=42\) inches

Volume of a ball is:

\(V_1=\dfrac{4}{3}\pi r^3\)

Where, r is the radius of the ball.

So, the volume of 3 ball is:

\(V_2=3\times V_1\)

\(V_2=3\times \dfrac{4}{3}\times \dfrac{22}{7}\times (7)^3\)

\(V_2=4312\)

Volume of the cane is:

\(V_3=\pi r^2h\)

Where, r is the radius of the cane and h is the height of the cane.

\(V_3=\dfrac{22}{7}\times (7)^2\times 42\)

\(V_3=6468\)

Now, the volume of air left between the balls and the cane​ is:

\(V=V_3-V_2\)

\(V=6468-4312\)

\(V=2156\)

Therefore, the volume of air left between the balls and the cane​ is 2156 cubic inches.

Answer:

x=3

Step-by-step explanation:

3x-5x+25= 5x+4

-2x+25=5x+4

+2x.      +2x

25=7x+4

-4.      -4

21=7x

/7. /7

3=x

Hopes this helps please mark brainliest

Answer:

Step-by-step explanation:

3x - 5(x -5) = - 3 + 5x + 7

3x - 5x + 25 = 4 + 5x

3x - 5x -5x = 4 - 25

-7x = -21

x = -21 : (-7)

x = 3

Answer:

the anwser is b

Step-by-step explanation:

Answer:

\(x = -\frac{1}{7}\)

Step-by-step explanation:

2(5x + 1) - 2x = 2 - 2(3x + 1)

Use the distributive property

10x + 2 - 2x = 2 - 6x -2

Combine like terms

8x + 2 = -6x

Subtract 2 from both sides

8x = -6x - 2

Add 6x to both sides

14x = -2

Divide both sides by 14

x = -2/14 = -1/7

Answer:

-4

Step-by-step explanation:

I calculated it straight forward. lol

Answer:

the first option

Answer:

94 marbles

Step-by-step explanation:

4512/48 = 94

We can make use of the identity

csc²(θ) = 1 + cot²(θ) and given that cot(θ) = 2√6, then:

csc²(θ) = 1 + cot²(θ)

csc²(θ) = 1 + (2√6)²

csc²(θ) = 1 + 24

csc²(θ) = 25

Taking the square root of both sides, we get:

csc(θ) = ± 5

Since the cosecant is positive in the second and third quadrants, we have:

csc(θ) = 5

Therefore, csc(θ) = 5.

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Answer:

The answer should be continuous

Step-by-step explanation:

The answer is Continuous

The radius of the cone given the diameter is 5 feet.

The area of the base of the cone is 25π square feet

The volume of the cone is 75π cubic feet.

Volume of a cone: V = 1/3Bh

Height of the cone = 9 feet

Diameter of the cone = 10 feet

Radius of the cone = diameter / 2

= 10/2

= 5 feet

Area of the base of the cone = πr²

= π × 5²

= π × 25

= 25π squared feet

Volume of a cone: V = 1/3Bh

= 1/3 × 25π × 9

= 225π/3

= 75π cubic feet

Hence, the volume of the cone is 75π cubic feet

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Answer:

5, 25, 75

Proof:

Answer:

7-(-5)

Step-by-step explanation:

The other answers are all equal to -2. However, the answer for c is 12 which is the odd one out. Hope this helps :)

Explanation:

The probability that a variable has a z-score less than a number - let's call this number 'a'- is represented on a z-score table. Each number in the table represents the area under the curve on to the left of 'a':

In other words, the numbers in the table are the probability of the variable being less than a:

If we multiply by 100 we have the probability expressed as a percent: 66.28%.

Answer:

Rounded to the nearest percent, P( Z < 0.42) = 66%

Let's denote this probability as p, where p represents the probability of a single calculator failing. Therefore, the probability of both calculators failing is given by \(p^2\).

If the failure rate of the second calculator is the same and independent of the first, we can assume that the probability of failure for each calculator remains constant. To determine the probability of both calculators failing, we need to multiply the probabilities of each calculator failing independently. Since the events are independent, we can multiply the individual probabilities together.

Probability of both calculators failing = Probability of first calculator failing * Probability of second calculator failing

= p * p

= \(p^2\)

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The senate has 4+22 = 26 members this year.

Let x be the number of Democrat members in the senate.

Last year, the number of Republican members was x+20

This year, the number of Republican members is (x+20) - 2 = x+18

This year, the number of members in the senate is 2/3*(x+18) = 2/3*x+12

So the number of members in the senate this year is x+12

To find the value of x, we can use the fact that the number of members in the senate this year is the same as last year.

x + (x + 20) = x + 12

x+x+20 = x + 12

2x = 8

x = 4

So the senate has 4 Democrat members and x+18 = 4+18 = 22 Republican members.

Therefore the senate has 4+22 = 26 members this year.

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