calculate the distance between the points J = ( -7, 6) and F = ( -1, 1 ) in coordinate plane

Answer:

the answer is c

Step-by-step explanation:

9514 1404 393

Answer:

 yes

Step-by-step explanation:

If two angles of one triangle match two angles of another, all three angles must be the same, and the triangles are similar. Here, angles A and D are congruent, and angles C and F are congruent. Hence ΔABC ~ ΔDEF.

Answer:

.55(220-a) + .90(220-a)

Step-by-step explanation:

9514 1404 393

Answer:

Step-by-step explanation:

Reflection over the y-axis and translation 3 right is modeled by the transformation ...

  (x, y) ⇒ (-x +3, y)

Then the image end points are ...

  A(2, -5) ⇒ A'(-2+3, -5) = A'(1, -5)

  B(5, -3) ⇒ B'(-5+3, -3) = B'(-2, -3)

_____

In the attached figure, the reflection is shown as A'B' in light purple. The line after the final translation is shown as A"B" in blue.

Answer:

I think the answer would be 96cm³

Step-by-step explanation:

have a great rest of ur dayy

Answer:

yes it is good luck with your work

Answer:

Their present ages are:

Step-by-step explanation:

Given that:

To Find:

Let us assume:

After 12 years:

Finding their present ages:

According to the question.

⇒ 3x + 12 = 2(x + 12)

⇒ 3x + 12 = 2x + 24

⇒ 3x - 2x = 24 - 12

⇒ x = 12

Their present ages:

Ages after 12 years:

Answer:

6x^2-17x-14

Step-by-step explanation:

See the steps below:)

The probability that a randomly selected person who tested positive for the flu is vaccinated  is 465/2321.

Probability determines the chances that an event would happen. The odds  the event occurs is 1 and the odds that the event does not occur is 0.

The probability that a randomly selected person who tested positive for the flu is vaccinated  = number of people who tested positive and have been vaccinated / total number of people

465/2321

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Answer:

its  465 Over 950 on edge 2022

Step-by-step explanation:

Answer:

5(9)+20 is equivalent

Step-by-step explanation:

[tex]5(w + 4) \\ 5(9 + 4) \\ \\ 45 + 20 = 65[/tex]

Answer:

range: {15, 11, 7, -3, -7}

Step-by-step explanation:

when x = -4, y = 15

when x = 2, y = 11

when x = 0, y = 7

when x = 5, y = -3

when x = 7, y = -7

Answer:

Step-by-step explanation:

3  3

3  1

3  2

3  4

3  5

3  6

1   3

2  3

4  3

5  3

6  3

B

The number of favorable outcomes is 11 The probability of getting one of those outcomes is 11/36 . So the fraction you want is 11/36

C. In 100 throws, the outcome should be about 11/36 * 100 or about 31. That is too close to call. I'm going to try it with a million times and see what happens.

If I run this question a million times, I get 0.305 something. 100 is too small a sample to tell. I would expect it to be less than 34 times. If you run the simulation a million times, you get an answer that is very accurate to 3 places.

Even with a hundred times, you are going to get 34 or more very infrequently.

Answer:

1539.4 rounded

Step-by-step explanation:

Have a great day

Answer: 78 Miles

Step-by-step explanation:

Using the combination formula, it is found that these two positions can be filled in 780 ways.

The order in which the positions are filled is not important, for example, João and Elisa is the same outcome as Elisa and João, hence the combination formula is used to solve this question.

[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by:

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

In this problem, two people are taken from a set of 40, hence the number of ways is given by:

[tex]C_{40,2} = \frac{40!}{2!38!} = 780[/tex]

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Answer:

I give the crown

if you do

Step-by-step explanation:

Answer:

what does that mean?

Step-by-step explanation:

Answer:

[tex]\log 8 - \log x + 7\log\sqrt x =\log (8x^{\frac{5}{2}})[/tex]

Step-by-step explanation:

Given

[tex]\log 8 - \log x + 7\log\sqrt x[/tex]

Required

Express as a single expression

We have:

[tex]\log 8 - \log x + 7\log\sqrt x[/tex]

Write 7 as an exponent

[tex]\log 8 - \log x + 7\log\sqrt x =\log 8 - \log x + \log(\sqrt x)^7[/tex]

Rewrite as:

[tex]\log 8 - \log x + 7\log\sqrt x =\log 8 - \log x + \log(x^{\frac{1}{2}})^7[/tex]

[tex]\log 8 - \log x + 7\log\sqrt x =\log 8 - \log x + \log x^\frac{7}{2}[/tex]

Apply quotient and product rule of logarithm

[tex]\log 8 - \log x + 7\log\sqrt x =\log (\frac{8*x^\frac{7}{2}}{x} )[/tex]

Apply law of indices

[tex]\log 8 - \log x + 7\log\sqrt x =\log (8*x^{\frac{7}{2} - 1})[/tex]

Solve exponent

[tex]\log 8 - \log x + 7\log\sqrt x =\log (8*x^{\frac{7-2}{2}})[/tex]

[tex]\log 8 - \log x + 7\log\sqrt x =\log (8*x^{\frac{5}{2}})[/tex]

[tex]\log 8 - \log x + 7\log\sqrt x =\log (8x^{\frac{5}{2}})[/tex]

Answer:

I think it's 2

Step-by-step explanation:

Answer:

1/11 is correct.

Step-by-step explanation:

You can see that the 3 is spun 2 times, but we need to know how many times he spun in total.

2 + 3 + 2 + 4 + 5 + 2 + 1 + 3 = 22

2/22 = 1/11

Have a nice day!

Answer:

Elevation of the giant spider = -800 feetThat means depth of a giant spider below the surface of ocean = 800 feetElevation of the Atlantic wolfish = -300 feetIt shows depth of the Atlantic wolfish below the surface of the ocean = 300 feetNegative notation shows the distances below the surface of the ocean.Therefore, (Giant spider crab) tend to be farther from the surface of the ocean than (Atlantic wolfish.)

Step-by-step explanation:

Answer:

2.983

I hope it is helpful to you

The area of the region in the first quadrant bounded on the left and right by the two given graphs is; A: 2.983

We are given the equations;

x = y⁴ + y²  ----(eq 1)

x = 5y   ----(eq 2)

Now, let us put eq 1 into eq 2 to get;

y⁴ + y² = 5y

y⁴ + y² - 5y = 0

Using online roots of polynomial calculator, we have;

y = 0 and 1.516

Thus, the area of the region will be gotten by finding the integral between those two points;

[tex]\int\limits^0_\frac{1.516}{} {y^{4} + y^{2} - 5y} \, dy[/tex]

Integrating this, we have;

[tex]\left[\begin{array}{ccc}y^{4} +y^{2} - 5y\\\\\end{array}\right]^{0}_{1.516}[/tex]

Plugging in the relevant values and subtracting gives;

Area = 2.98276 ≈ 2.983

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Answer:

The equation of curve is [tex]y = 3\cdot 7.389^{x}[/tex].

Step-by-step explanation:

The exponential growth function is represented by the expression described below:

[tex]y = a\cdot b^{x}[/tex] (1)

Where:

[tex]x[/tex] - Independent variable.

[tex]y[/tex] - Dependent variable.

[tex]a[/tex] - Initial value of [tex]y[/tex].

[tex]b[/tex] - Base.

By deriving (1), we obtain an expression for the slope of the curve:

[tex]y' = a\cdot b^{x} \cdot \ln b[/tex] (2)

If we know that [tex]x = 0[/tex], [tex]y = 3[/tex] and [tex]y' = 6[/tex], then we have the following system of equations:

[tex]a = 3[/tex] (3)

[tex]a\cdot \ln b = 6[/tex] (4)

By (3) in (4):

[tex]3\cdot \ln b = 6[/tex]

[tex]\ln b = 2[/tex]

[tex]b = e^{2}[/tex]

[tex]b = 7.389[/tex]

Therefore, the equation of curve is [tex]y = 3\cdot 7.389^{x}[/tex].

9514 1404 393

Answer:

  1/2,972,033,482,752

Step-by-step explanation:

If you must do this with pencil and paper, you can do it in a few stages.

  [tex]3\times12^{-12}=\dfrac{3}{12^{12}}=\dfrac{3}{(12^3)^4}=\dfrac{3}{(1728^2)^2}=\dfrac{1}{(1728^2)(576\cdot1728)}\\\\=\dfrac{1}{2985984\cdot995328}=1/(2\,972\,033\,482\,752)[/tex]

__

You may already know, for example from the number of cubic inches in a cubic foot, that 12^3 = 1728. This power of 12 can be used to shorten the computation of the 12th power of 12 using the rules of exponents. The long multiplication working at each stage is shown in the attachments. Please note that the final denominator here has 13 digits, which most calculators will not show. A spreadsheet may be able to give you the full precision.

If you need a decimal fraction, not the one shown, then you can compute 1/0.2972...×10^-13 ≈ 3.3646...×10^-13 as shown in the 4th attachment. You should use at least as many digits in the divisor as you need significant digits in the quotient.

This is tedious to do by hand, but is not out of the question. Is there some reason a calculator cannot be used?

Answer:

8/35

Step-by-step explanation:

Step 1

We can't subtract two fractions with different denominators. So you need to get a common denominator. To do this, you'll multiply the denominators times each other... but the numerators have to change, too. They get multiplied by the other term's denominator.

So we multiply 3 by 5, and get 15.

Then we multiply 1 by 7, and get 7.

Next we give both terms new denominators -- 7 × 5 = 35.

So now our fractions look like this:

15

35

−

7

35

Step 2

Since our denominators match, we can subtract the numerators.

15 − 7 = 8

So the answer is:

8

35

Step 3

Last of all, we need to simplify the fraction, if possible. Can it be reduced to a simpler fraction?

To find out, we try dividing it by 2...

Nope! So now we try the next greatest prime number, 3...

Nope! So now we try the next greatest prime number, 5...

Nope! So now we try the next greatest prime number, 7...

Nope! So now we try the next greatest prime number, 11...

No good. 11 is larger than 8. So we're done reducing.

There you have it! The final answer is:

3/7

−

1/5

=

8/35

Answer:

eight over thirty- five, 8

                                   35

Step-by-step explanation:

In order to subtract the fractions you have to do a simple mathematics step I learned in sixth grade and I still use it now, i'm in ninth grade.

So the tactic I learned in middle school was, keep change flip.

1- Take the  three over the seven: 3                                                                                            

                                                      7  

(Second part of step one)1- Then you do the same to the one and five: 1                                                          

                                                                            5

2- When you subtract a fraction you cannot do it with different denominators. Therefor you have to find the same number in both of the numerator or denominator.(Across from each other)

So multiply the different denominator by each other: 3 x 5= 15

Then you do it with the one and the seven: 1 x 7= 7

Then next you give both the denominators new fractions

     This is what they would look like now

15 - 7

35  35

Since the denominators match now you can subtract the numerators.

4-  15- 7= 8

  So the answer for this step is now 8 over 35.

3- The last step you have to simplify the fraction. The fraction can sometimes be reduced to smaller parts. ( like 1 over 2 was simplified by 2 over 4 and so on and so on) So first you need to divide it by 2, at least try. Since you can't do that you try the next biggest prime number, 3. And you cannot do that so that moves us on to the next prime number, 5 you cannot. There are both the prime numbers, 7 and 11 but that will not work because seven can't do anything but  give you a decimal and 11 is far to greater for the fraction. So you would go  for the prime number in between 7 and 9, 8.

Your answer will be fount at the top.

Using the box and whisker plot, it is found that the percent of those in the survey get at least 90 milligrams of Vitamin C is of:

A. between 25% and 50%.

A box and whisker plot shows three things:

In this problem, we have that: P25 = 80, P50 = 85, P75 = 95.

Hence, 90 is between the median and the 75th percentile, which means that between 25% and 50% of those in the survey get at least 90 milligrams of Vitamin C, and option A is correct.

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Answer:

I think that it is B

Answer:

maybe

Answer:

That is correct.

Step-by-step explanation:

x - y = 6

2 - (- 4) = 6

2 + 4 = 6

Answer:

Linear pair.

Step-by-step explanation:

Answer:

2,574 in.³

Step-by-step explanation:

The shape is a rectangular prism.

volume = height * width * depth

volume = 11 in. * 13 in. * 18 in.

volume = 2,574 in.³

Answer:

84

Step-by-step explanation:

f(1)=4^1 - 1 = 3

f(4) = 4^4 - 1 = 255

rate of change = [tex]\frac{f(x_2)-f(x_1)}{x_2-x_1}[/tex]

(255 - 3) / (4 - 1) = 252 / 3 = 84