Write an equation of a line
passing through the point (-6,-3) and perpendicular to JK with J(-2.-7) and K(6, 5).
A) y= -2/3x - 4
B) y = -2/3x- 7
C) y = 2/3x + 1
D) y = 2/3x + 9
E) y = -3/2x - 4

What do you mean by stwps? Please comment

Answer:

i can help u

Step-by-step explanation:

but i dont know what steps you need to memorize

Answer: 3 x 3 x 5 x 5 x 7 x 11.

Step-by-step explanation:

Prime Factors of 17325 are 3, 5, 7, 11, and usually expressed as 3 x 3 x 5 x 5 x 7 x 11.

the equation of the new function is:

\(g(x) = 2^{x - 5} - 7\)

We have a function:

\(f(x) = 2^x\)

And we want to shift it five units to the right, and seven units down, then the new function will be:

\(g(x) = f(x - 5) - 7\)

If we now replace f(x), we get:

\(g(x) = 2^{x - 5} - 7\)

That is the equation of the new function.

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Answer:

pythagorean theorem is the way to go

a squared plus b squared =c squared

15 squared plus 8 squared is equal to c squared

so i believe the answer is 17

Step-by-step explanation:

15 squared is 225

225 + 64

64 is 8 squared

that is 289

THE ANSWER IS 17

The fraction 9/10 is more than 78/100.

In mathematics, an expression is a combination of numbers, variables, and mathematical operations (such as addition, subtraction, multiplication, division, and exponentiation) that are combined in a meaningful way.

To compare these two fractions, we can convert them to have a common denominator. In this case, the common denominator is 1000.

9/10 = (9/10) x (100/100) = 900/1000

78/100 = (78/100) x (10/10) = 780/1000

Now we can see that 900/1000 (which is equivalent to 9/10) is greater than 780/1000 (which is equivalent to 78/100).

Therefore, 9/10 is more than 78/100.

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a. $456 would be the amount a customer could save during the first year by switching from Cable Zone to Super Vision.

b. Super Vision raises the rates 23% after a new customer's first year,  a customer who switched from Super Vision save $180 in the second year.

c. Super Vision raises the rates 18% for the third year compared to the second year, for the third year, Cable Zone would be cheaper.

a. To calculate how much a customer could save during the first year by switching from Cable Zone to Super Vision, we need to compare the costs of the two providers.

Cable Zone charges $46 for monthly home phone service, $36 for monthly Internet service, and $56 for monthly cable television. Therefore, the total cost per month with Cable Zone is:

$46 (home phone) + $36 (Internet) + $56 (cable television) = $138

Super Vision, on the other hand, offers all three services for a flat $100 monthly fee. So, the customer would save:

$138 (Cable Zone cost) - $100 (Super Vision cost) = $38 per month

Therefore, during the first year, the customer could save:

$38 (monthly savings) * 12 (number of months) = $456

b. After the first year, Super Vision raises the rates by 23%. The new monthly fee would be:

$100 (original fee) + 23% (rate increase) * $100 (original fee) = $123

To calculate the savings in the second year, we need to compare the new Super Vision fee to the cost with Cable Zone:

$138 (Cable Zone cost) - $123 (Super Vision cost) = $15 per month

Therefore, in the second year, the customer would save:

$15 (monthly savings) * 12 (number of months) = $180

c. If Super Vision raises the rates by 18% for the third year compared to the second year, we need to calculate the new monthly fee. The new Super Vision fee would be:

$123 (second-year fee) + 18% (rate increase) * $123 (second-year fee) = $145.14

To determine which company is cheaper for the third year, we compare the new Super Vision fee to the cost with Cable Zone:

$138 (Cable Zone cost) - $145.14 (Super Vision cost) = -$7.14

In this case, the Super Vision cost is higher than the Cable Zone cost by $7.14 per month. Therefore, for the third year, Cable Zone would be cheaper.

Overall, during the three-year period, the customer would save a total of $456 (first year) + $180 (second year) = $636 by switching to Super Vision.

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A good practice to remember when adding transitions to a presentation is to ensure that they are purposeful, consistent, and enhance the overall flow of the presentation.

Purposeful: Use transitions to guide the audience through your key points and ideas, making sure they complement the content and contribute to the overall message.
Consistent: Maintain a consistent style of transitions throughout your presentation to maintain a cohesive look and feel. Avoid using too many different types of transitions, as this may be distracting.
Enhance flow: Transitions should help create a smooth flow between slides and ideas, making it easy for the audience to follow your presentation. Avoid using abrupt or overly flashy transitions that may interrupt the natural progression of your content.

finally, Test your presentation with the transitions to make sure they enhance the overall flow and comprehension of your message.

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Answer:1/20

Step-by-step explanation:

trust

Answer:

1/20

Step-by-step explanation:

5 divided by 100 is =20

5divided by 5 is =1

=1/20

The weighted average of the points on the number line is equal to 0.6.

In this question we find a number line with two points with different weights, weighted averages are averages where each the weights of each point are taken into account in contrast with uniform averages, where each point has the same weight. The weighted average formula is shown below:

x = ∑ (n / ∑ n) · xₙ, for n = {1, 2, ..., n}        (1)

Where:

Now we proceed to calculate the weighted average:

x = (2 / 10) · (- 5) + (8 / 10) · (2)

x = - 10 / 10 + 16 / 10

x = - 1 + 1.6

x = 0.6

The weighted average of the points on the number line is equal to 0.6.

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The solutions to the inequalities are given as follows:

The first inequality is given as follows:

\(2^{x^2 - 5x - 4} < 4\)

We have that 4 = 2², hence:

\(2^{x^2 - 5x - 4} < 2^2\)

As the exponential function is increasing over it's entire domain, the inequality can be represented as follows:

x² - 5x - 4 < 2

x² - 5x - 6 < 0.

The quadratic equation x² - 5x - 6 is concave up, hence it's negative between it's roots, obtained as follows:

(x - 2)(x - 3) = 0.

Applying the Factor Theorem:

Hence the solution to the inequality is of:

2 < x < 3.

The second inequality is given as follows:

\(\log_{0.3}{(x^2 + 3)} \geq \log_{0.3}{4x}\)

The logarithm function is also increasing over it's entire domain, hence the inequality is simplified as follows:

x² + 3 ≥ 4x

x² - 4x + 3 ≥ 0.

Another concave up quadratic equation, which is non-negative to the left of the smallest root and to the right of the highest root.

The roots are obtained by factoring as follows:>

(x - 3)(x - 1) = 0.

Hence:

Then the solution is given as follows:

x ≤ 1 or x ≥ 3.

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Answer:

34+a = 90

a = 90-34

a = 56

Answer:

56°

Step-by-step explanation:

a = 90° - 34° = 56°

The sentence best describes your temperature estimate is Your estimate is wrong, and it should be 75°F. Thus, option c is correct.

To convert temperature from one unit to another, you can use conversion formulas or conversion tables. Here are the conversion formulas for the most commonly used temperature units:

Celsius to Fahrenheit: °F = (°C × 1.8) + 32

Fahrenheit to Celsius: °C = (°F - 32) / 1.8

Celsius to Kelvin: K = °C + 273.15

Kelvin to Celsius: °C = K - 273.15

Temperature is a physical quantity that measures the degree of hotness or coldness of an object or environment. Different countries and regions use different units to measure temperature, with Celsius (°C) and Fahrenheit (°F) being two of the most commonly used units.

In this scenario, the thermometer reads a temperature of 24°C. If you want to convert this temperature to Fahrenheit, you can use the formula:

°F = (°C × 1.8) + 32

Substituting 24°C into the formula, we get:

°F = (24 × 1.8) + 32

°F = 43.2 + 32

°F = 75.2

Therefore, the temperature estimate in Fahrenheit is 75.2°F.

Hence, the sentence best describes your temperature estimate is "Your estimate is wrong, and it should be 75°F.

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Using the Green's Theorem, the one along which the work done by the force is 11π/16.

In the given question we have to find the one along which the work done by the force is the greatest.

The given closed curves in the plane is

\(F(x,y)=\left(\frac{x^{2}y}{4} + \frac{y^3}{3}\right)\hat{i}+x\hat{j}\)

Suppose C be a simple smooth closed curve in the plane. It is also oriented counterclockwise.

Let S be the interior of C.

Let P = \(\frac{x^{2}y}{4} + \frac{y^3}{3}\) and Q = x

So the partial differentiation is

\(\frac{\partial P}{\partial y}=\frac{x^2}{4}+y^2\) and  \(\frac{\partial Q}{\partial x}\) = 1

By the Green's Theorem, work done by F is given as

W= \(\oint \vec{F}d\vec{r}\)

W= \(\iint_{S}\left ( \frac{\partial Q}{\partial x}-\frac{\partial P}{\partial y} \right )dxdy\)

W= \(\iint_{S}\left ( 1-\frac{x^2}{y}-y^2 \right )dxdy\)

Let C = x^2+y^2 = 1 and

x = rcosθ, y = rsinθ

0≤r≤1; 0≤θ≤2π

There;

W = \(\int_{r=0}^{1}\int_{\theta=0}^{2\pi}\left ( 1-\frac{r^2\cos^2\theta}{4}-r^2\sin^2\theta \right )\left|\frac{\partial(x,y)}{\partial{r,\theta}}\right|d\theta dr\)

and \(\frac{\partial (x,y)}{\partial(r, \theta)}=\left|\begin{matrix}\cos\theta &-r\sin\theta \\ \sin\theta & r\cos\theta\end{matrix} \right |\) = r

Thus;

W = \(\int_{r=0}^{1}\int_{\theta=0}^{2\pi}\left ( 1-\frac{r^2\cos^2\theta}{4}-r^2\sin^2\theta \right )rd\theta dr\)

After solving

W = 11π/16

Hence, the one along which the work done by the force is 11π/16.

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The right question is:

Among all simple smooth closed curves in the plane, oriented counterclockwise, find the one along which the work done by the force:

\(F(x,y)=\left(\frac{x^{2}y}{4} + \frac{y^3}{3}\right)\hat{i}+x\hat{j}\)

is the greatest. (Hint: First, use Green’s theorem to obtain an area integral—you will get partial credit if you only manage to complete this step.)

Answer:

784.19(1 + .15/12) = 793.99

Step-by-step explanation:

Answer:

623

Step-by-step explanation:

2486/4 is the middle number = 621.5

Four numbers so the nearest whole numbers are the middle two

620, 621, 622, 623

=623

9514 1404 393

Answer:

  A. dollars = euros × 0.75

  B. the exchange rate is the slope of the graph

Step-by-step explanation:

A. The graph indicates 1 euro will be exchanged for 0.75 dollars, or 4 euros for 3 dollars.

__

B. This exchange rate is the slope of the line on the graph: 0.75 dollars per euro.

The value of x in the polygon will be 13.25 degrees.

The value of x is 10.

We can find the value of x by plugging in the number of sides of the regular polygon into the formula x = (n-2)*15° - 1.

The sum of the interior angles of a regular polygon with n sides is (n-2) x 180 degrees.

Sum of angles = (24-2) x 180 = 22 x 180 = 3960 degrees

Since all the angles in a regular polygon are congruent, we can divide the sum of the angles by the number of angles to find the measure of one angle:

Measure of one angle = 3960/24 = 165 degrees

165 = 12x + 6

159 = 12x

x = 13.25

Therefore, the value of x is 13.25 degrees.

Each of the triangles in our decomposition has one angle equal to (17x+2)°, so the sum of all the angles in the triangles is 43 × (17x+2)° = 731x+86°.

Therefore, we have:

731x+86° = 7380°

Solving for x, we get:

731x = 7294°

x = 10

Therefore, the value of x is 10.

The equation that can be used to find the value of x is:

(9x+48)° + (15x-24)° = (n-2)*180°

24x + 24 = (n-2)*180°

Dividing both sides by 24, we get:

x + 1 = (n-2)*15°

Subtracting 1 from both sides, we get:

x = (n-2)*15° - 1

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An earthquake that has an intensity of 1000 cm has a magnitude of 7.

The most typical way to gauge an earthquake's size is by its magnitude. No matter where you are or how violent the shaking is, it is the same number since it represents the size of the earthquake's source.

Given, Japan had an earthquake in May 2003 with a magnitude of 1000 cm.

To find the magnitude, use the formula

M = log(I/S)

Where,

"I" is the intensity of the earthquake,

And S is the standard intensity of the earthquake

Since,

I = 1000 cm

S = 10⁻⁴ cm

Thus,

M = log(1000/10⁻⁴)

M = log(10⁷)
M = 7 log(10)

M = 7

Therefore,

An earthquake that has an intensity of 1000 cm has a magnitude of 7.

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Answer:

200

Step-by-step explanation:

\(a^{2}\) + \(b^{2}\) = \(c^{2}\)

\(120^{2}\) + \(160^{2}\) = \(c^{2}\)

14400 + 25600 = \(c^{2}\)

40000 = \(c^{2}\)

\(\sqrt{40000}\) = \(\sqrt{c^{2} }\)

200 = c

Jesus love you.

Answer:

We can use the formula for compound interest to solve this problem. The formula is:

A = P * (1 + r/n)^(n*t)

where:

A = the amount of money after t years

P = the principal amount (the initial investment)

r = the annual interest rate (as a decimal)

n = the number of times the interest is compounded per year

t = the number of years

In this case, P = $5000, r = 0.03, n = 12 (since the interest is compounded monthly), and t = 10. Plugging these values into the formula, we get:

A = 5000 * (1 + 0.03/12)^(12*10)

A = 5000 * (1.0025)^120

A ≈ $6,621.36

So the investment will be worth approximately $6,621.36 after 10 years.

Answer:

Quantity = 5 grapes

Step-by-step explanation:

Given the following data;

Quantity of grapes = 20

Cost = 48

To find the cost of each grape;

Cost of each grape = total cost/quantity

Cost of each grape = 48/20

Cost of each grape = $2.4

Now, to find how many grapes $12 can buy;

Quantity = total cost/cost of each grapes

Quantity = 12/2.4

Quantity = 5 grapes

Therefore, $12 can buy 5 grapes.

The measure of the missing side length from the given figure is 11 feet.

The right angle is created when two straight lines cross at a 90° angle or when they are perpendicular at the intersection.

It is referred to as a right angle if the angle formed by two rays exactly equals 90 degrees, or π/2.

The adjacent angles are right angles if a ray is positioned so that its terminus is on a line and they are equal.

In the given figure, assuming that all the intersecting sides meet at right angles.

So, the opposite sides are parallel to each other.

Let x be the length of missing side.

Thus, The length of missing side = Sum of length of parallel sides

Now, x= 5+6

= 11 feet

Therefore, the length of side missing is 11 feet.

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Answer: 16-x

Step-by-step explanation:

Collect like terms.

-x + (6 + 10)

Simplify.

16 - x

From my calculations using  the Cymath calculator, 16 - x would be the answer, Hope I could help.

Answer: 2

Step-by-step explanation:

8x4=32, you have to distribute the 8 into the parentheses so you will have 8x2+8x2 which is 16+16=32

Answer:

a) 0.000001 = 0.0001% probability that the shuttle is left with no computer control system on a mission.

b) 3 backup systems are needed.

Step-by-step explanation:

For each system, there are only two possible outcomes. Either it works, or is does not. Systems are independent. This means that we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)

In which \(C_{n,x}\) is the number of different combinations of x objects from a set of n elements, given by the following formula.

\(C_{n,x} = \frac{n!}{x!(n-x)!}\)

And p is the probability of X happening.

Three separate computer control systems

This means that \(n = 3\)

The probability of failure for any one system on any one mission is known to be 0.01.

So the probability of working is:

\(p = 1 - 0.01 = 0.99\)

(a) Find the probability that the shuttle is left with no computer control system on a mission. (Enter your answer to six decimal places.)

This is \(P(X = 0)\)

So

\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)

\(P(X = 0) = C_{3,0}.(0.99)^{0}.(0.01)^{3} = 0.000001\)

0.000001 = 0.0001% probability that the shuttle is left with no computer control system on a mission.

(b) How many backup systems does the space shuttle need if the probability that the shuttle is left with no computer control system on a mission must be 1 over one hundred thousand

This is n for which:

\(P(X = 0) < \frac{1}{100000} = 0.00001\)

With 2 backup systems, the probability is lower than this, so lets see if with only two is possible.

We find \(P(X = 0)\) when \(n = 2\). So

\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)

\(P(X = 0) = C_{2,0}.(0.99)^{0}.(0.01)^{2} = 0.0001 > 0.00001\)

So 3 backup systems are needed.