Solve for pi : C = 2 pi r

Answer:

The answer is C (j' 1,4). It is not B J'(4, 1) because the new coordinate is moving 90 degrees clockwise not 180 degrees.

Step-by-step explanation:

J' will have coordinates (1, 4) after  90° clockwise rotation

Graph is a mathematical representation of a network and it describes the relationship between lines and points.

Rectangle JKLM is rotated 90° clockwise about the origin.

On a coordinate plane, rectangle J K L M has points (-4, 1), (-1, 1), (- 1, - 1), (- 4, - 1).

After rotating the rectangle 90° clockwise about the origin, the point J(-4, 1) will be transformed to a new point J' with coordinates (y, -x).

Thus, J' will have coordinates (1, 4).

Therefore,  J' will have coordinates (1, 4) after  90° clockwise rotation

To learn more on Graph click:

https://brainly.com/question/17267403

#SPJ3

Answer:

([tex]\sqrt{15}[/tex])/7

Step-by-step explanation:

Let b be the tird side of the triangle

tanθ= b/c

using the pythagorian theorem we get :

a²+b²= c² ⇒ b²= c²-a²= 8²-7²=15 ⇒b=√15

so: tanθ= √15/7

Answer:

Option A is the right option

Step-by-step explanation:

BO is bisector of line AC

so,

AB=BC

AC=AB+BC

=8+8

= 16

Hope this helps...

Good luck on your assignment....

Answer:

16

Step-by-step explanation

BD is perpendicular bisector of AC so BC is 8.

8+8=16

Answer:

24 feet.

Step-by-step explanation:

The side  of the square = √36 = 6 feet.

The square has 4 equal sides so the perimeter = 4*6 = 24 feet.

Answer:

the probability that 7 out 10 Internet users will order something online is 0.78 or 78%

Step-by-step explanation:

Given that:

Internet users who order something online = 85%

To find:

Probability that 7 out of 10 Internet users will order something online ?

Solution:

This problem is of binomial distribution of probability.

where, p = 0.85

q = 1-p = 0.15

r = 7 and

n = 10

Formula is given as:

[tex]P(x = r) = _nC_r q^{n-r}p^r[/tex]

Putting all the values:

[tex]P(x = 7) = _{10}C_7 0.15^{10-7}\times 0.85^7\\P(x = 7) = _{10}C_3 0.15^{3}\times 0.85^7\\P(x = 7) = 10\times 9 \times 8 \times 0.15^{3}\times0.85^7\\P(x = 7) = 720 \times .0034 \times0.32\\P(x = 7) = 0.78[/tex]

So, the probability that 7 out 10 Internet users will order something online is 0.78 or 78%.

Answer:

The new salary of that person (for the period of a year) would be [tex]\$ 16,\!275[/tex].

Step-by-step explanation:

Start by considering: what is the exact value (in dollars) of that "[tex]5\%[/tex] raise in salary"?

[tex]5\%[/tex] (five percent) is equal to [tex]\displaystyle \frac{5}{100}[/tex].

To find the value of [tex]5\%[/tex] of [tex]\$15,\!500[/tex], simply multiply [tex]\$15,\!500[/tex] by [tex]5\%[/tex]:

[tex]\begin{aligned}&5\% \times \$15,\!500\\ &= \frac{5}{100} \times \$15,\!500 \\ &= 5\times \$155 = \$775 \end{aligned}[/tex].

Add that to the original (one-year) salary of this person to find the new one-year salary:

[tex]\$15,\!500 + \$775 = \$16,\!275[/tex].

Answer:

The new salary is $16,725

Step-by-step explanation:

To find the new salary, multiply 5% and $15,500

5% * $15,500

First, convert 5% to a decimal. Divide 5 by 100 or move the decimal place 2 spaces to the left.

5/100=0.05

5.0 --> 0.5--> 0.05

0.05 * $15,500

Multiply

$775

The raise is equal to $775.

Next, add the raise to the salary.

raise + salary

The raise is $775 and the salary is $15,500

$775 + $15,500

Add

$16,275

The new salary is $16,275

Answer:

[tex] P(38.6 <X <57.8)[/tex]

And we can assume a normal distribution and then we can solve the problem with the z score formula given by:

[tex]z=\frac{X -\mu}{\sigma}[/tex]

And replacing we got:

[tex] z=\frac{38.6- 45}{16}= -0.4[/tex]

[tex] z=\frac{57.8- 45}{16}= 0.8[/tex]

We can find the probability of interest using the normal standard table and with the following difference:

[tex] P(-0.4 <z<0.8)= P(z<0.8) -P(z<-0.4) = 0.788-0.345= 0.443[/tex]

Step-by-step explanation:

Let X the random variable who represent the expense and we assume the following parameters:

[tex]\mu = 45, \sigma 16[/tex]

And for this case we want to find the percent of his expense between 38.6 and 57.8 so we want this probability:

[tex] P(38.6 <X <57.8)[/tex]

And we can assume a normal distribution and then we can solve the problem with the z score formula given by:

[tex]z=\frac{X -\mu}{\sigma}[/tex]

And replacing we got:

[tex] z=\frac{38.6- 45}{16}= -0.4[/tex]

[tex] z=\frac{57.8- 45}{16}= 0.8[/tex]

We can find the probability of interest using the normal standard table and with the following difference:

[tex] P(-0.4 <z<0.8)= P(z<0.8) -P(z<-0.4) = 0.788-0.345= 0.443[/tex]

Answer:B.

Step-by-step explanation: it is better to have empty seats than toforce people to give up their seats.

Answer:

A = 5x + 5

Step-by-step explanation:

Area of Parallelogram Formula: A = bh

Since we are given b = 5 and h = x + 1, simply plug it into the formula:

A = 5(x + 1)

A = 5x + 5

━━━━━━━☆☆━━━━━━━

▹ Answer

A = 5x + 5

▹ Step-by-Step Explanation

A = bh

A = 5(x + 1)

A = 5x + 5

Hope this helps!

- CloutAnswers ❁

Brainliest is greatly appreciated!

━━━━━━━☆☆━━━━━━━

━━━━━━━☆☆━━━━━━━

▹ Answer

r = 4

▹ Step-by-Step Explanation

15r - 6r = 36

Collect like terms

9r = 36

Divide

r = 4

Final Answer

r = 4

Hope this helps!

- CloutAnswers ❁

Brainliest is greatly appreciated!

━━━━━━━☆☆━━━━━━━

Answer: The answer would be 4, which is B, hopefully this helps.

Answer:

a. Country Z's GDP will double in 23 years' time, given the experts prediction of 5% growth for 3 and 3% thereafter.

b. Z's GDP 's growth rate would be 39%.

This growth rate is calculated by determining Z's GDP from the end of 2025 as 292,000.  So, (292,000 - 210,000)/210,000 x 100 = 39% from the 2019 base year.

Step-by-step explanation:

a) 2019 Country Z's GDP = 210,000

2019 Growth rate = 5%

Future growth rate:

2019 - 2022 = 5%

2022- 2025 = 3%

2025 - so on = 1%

Let Country Z's GDP in 2019 = G₀ = 210,000

n = number of years from 2019

g = growth rate = 5%

(1 + g)ⁿ = increase in GDP as a result of the growth rate and number of years

Gⁿ = GDP in n years

Therefore, Gⁿ = G₀(1 + g)ⁿ

b) With GDP growth of 5% from 2019 to 2022, the GDP will be

= 210,000 (1 + 5%)³

= 210,000 x 1.158

= 243,000 approx.

c) From 2022 to 2025 at 3%, the GDP will be

= 243,000 (1 + 3%)∧20

= 243,000 x 1.817

= 441,531

d) Z's GDP from 2025 with 1% growth and so on, will become double at:

Gⁿ = 265,600(1 + 1%)∧48

= 265,600 x 1.61

= 428,000

48 + 6 = 54 years.

Answer:

[tex]f^{-1} = \frac{x-1}{2}[/tex]

Step-by-step explanation:

[tex]f(x) = 2x+1[/tex]

Replace it with y

[tex]y = 2x+1[/tex]

Exchange the values of  x and y

[tex]x = 2y+1[/tex]

Solve for y

[tex]x = 2y+1[/tex]

Subtracting 1 from both sides

[tex]2y = x-1[/tex]

Dividing both sides by 2

[tex]y = \frac{x-1}{2}[/tex]

Replace it by [tex]f^{-1}[/tex]

So,

[tex]f^{-1} = \frac{x-1}{2}[/tex]

Answer:

[tex]\displaystyle f^{-1}(x)= \frac{1}{2}x - \frac{1}{2}[/tex]

Step-by-step explanation:

f(x) = 2x + 1

f(x) = y (output)

y = 2x + 1

Solve for x.

y - 1 = 2x

Divide 2 on both sides.

y/2 - 1/2 = x

1/2y - 1/2 = x

Switch variables.

1/2x - 1/2 = y

[tex]f^{-1}(x)= \frac{1}{2}x - \frac{1}{2}[/tex]

lllluvyvyvyvtctctvtvtctvtctctctctctctctvtvyvyvyvyvyvyvtvtv

Answer:

1st Graph

Step-by-step explanation:

Step 1: Find the inverse

y = 2x - 2

x = 2y - 2

x + 2 = 2y

y = (x + 2)/2

Step 2: Graph the inverse

Simply use a graphing calculator and we should see our answer is the top left graph.

The correct answers are B. What types of music does the 6th grade like? and C. How many sodas do Jack and his friends drink in a week?

Explanation:

Statistical questions are those that can only be answered by collecting and analyzing numerical data. This often implies gathering data from a group of individuals and using this to answer the question. Additionally, statistics questions are complex and do not have a direct or unique answer. In this context, the question "What types of music does the 6th grade like?" is statistical because to answer this, it is necessary to collect data from all students in 6th grade and analyze it. This occurs in "How many sodas do Jack and his friends drink in a week?" because it is necessary to know the number of sodas each person drinks in a week.

On the other hand, the questions "How many pairs of shoes do you own?" or "How many cats does Jack have?" are not statistical because it is not necessary to collect a lot of data to know the answer and they can be answered through only one number.

Explanation:

Surface area of a cone = pi*r^2 + pi*r*sqrt(r^2+h^2)

r = radius

h = height of cone

In this case,

r = 8 is the radius

h = 41

So,

SA = surface area

SA = pi*r^2 + pi*r*sqrt(r^2+h^2)

SA = pi*8^2 + pi*8*sqrt(8^2+41^2)

SA = 1250.936884057 use a calculator for this step

SA = 1251 square meters approximately

Answer:

  270

Step-by-step explanation:

  f(5) = 7 +4·5 = 27

  g(5) = 1/(2·5) = 1/10

The ratio of functions is the ratio of their individual values:

  (f/g)(5) = f(5)/g(5) = 27/(1/10)

  (f/g)(5) = 270

Answer:

See bolded below.

Step-by-step explanation:

Take a look at the attachment below. It represents circle x and y, with respect to each of their radii. In each of the options we are given, we would have to translate and dilate the circles, by a fixed scale factor -

Now the first thing one would do is translate the circles so that they share a common center point, or in other words the center of one circle rests on the edge of the other circle. That way when dilating circle y, it may fit into circle x as it expands.

The second point is how much this smaller circle ( circle y ) has to expand. The radius of circle y being 2, has to increase by 3 times the value to equal the radius of circle x, and hence has to dilate by a scale factor of 3 as to match circle x,

Solution = " Translate the circles so the center of one circle rests on the edge of the other circle, and dilate circle Y by a scale factor of 3 " / Option D

Answer:

Net sales is $ 504285.71

Step-by-step explanation:

We have the following:

Let net sales be x.

Net sales - Cost of goods sold = Gross profit

We replace and we are left with:

x - $ 353000 = x * 30%

x - $ 353000 = 0.30 * x

x - 0.30 * x = $ 353000

0.7 * x = $ 353000

x = $ 353000 / 0.7

x = $ 504285.71

Therefore, net sales is $ 504285.71

Answer:

So if you increase the sample size used to construct a given confidence interval, the confidence interval will be narrower, that is, more precise.

Step-by-step explanation:

The sample size is important to find the margin of errror of a confidence interval.

The margin of error is given by a formula in the following format:

[tex]M = \frac{c*s}{\sqrt{n}}[/tex]

In which c is the critical value(depends on the distribution used, can be T or Z), s is the standard deviation(of the sample or the population) and n is the size of the sample.

As n increases, M decreases, which leads to a lower margin of error.

The lower the margin of error, the more precise the interval is.

So if you increase the sample size used to construct a given confidence interval, the confidence interval will be narrower, that is, more precise.

Answer:

  x ║ z

Step-by-step explanation:

Lines parallel to the same line are parallel to each other.

x and z are both parallel to y, so are parallel to each other:

  x ║ z

Answer:

9

i got it right on my test

The equivalent expressions to 243 Superscript two-fifths will be 9.

Those expressions who might look different but their simplified forms are same expressions are called equivalent expressions.

To derive equivalent expressions of some expression, we can either make it look more complex or simple, we simplify it.

Simplification usually involves making the expression simple and easy to use later,

The given expression is;

[tex]243^{2/5}[/tex]

We know that 2/3 = 0.4

So, the equivalent expressions to the given function;

[tex]243^{0.4}\\\\= 9[/tex]

Thus, The equivalent expressions to 243 Superscript two-fifths will be 9.

Learn more about expression here;

https://brainly.com/question/14083225

#SPJ2

Answer:

2x-y=4

Step-by-step explanation:

Standard form of a line: Ax+by=c

Use slope intercept form: y=mx+b

slope= 2

y=2x-4

Add 4 to both sides.

y+4=2x

subtract y from both sides.

4=2x-y

Rotate the equation

2x-y=4

Answer:

2x-y=4

Step-by-step explanation:

y=2x-4 is the slope intercept.

y-2x=-4

-2x+y=-4

2x-y=4

Answer:

A) 360

B) 360

Step-by-step explanation:

Part A)

Given that there are a total of 6 people and 4 person subcommittee is to be selected.

Number of ways to select 1st person = 6

Now, 1 person is selected, total persons left are 5

Number of ways to select 2nd person = 5

Now, 1 person is selected, total persons left are 4

Number of ways to select 3rd person = 4

Now, 1 person is selected, total persons left are 3

Number of ways to select 4th person = 3

So, total number of ways = 6[tex]\times[/tex]5[tex]\times[/tex]4[tex]\times[/tex]3 = 360

Part B)

Given that there are a total of 6 people in the committee

Number of ways to select president  = 6

Now, 1 person is selected, total persons left are 5

Number of ways to select vice president = 5

Now, 1 person is selected, total persons left are 4

Number of ways to select secretary = 4

Now, 1 person is selected, total persons left are 3

Number of ways to select treasurer = 3

So, total number of ways = 6[tex]\times[/tex]5[tex]\times[/tex]4[tex]\times[/tex]3 = 360

Answer:

  [tex]y=\log_3{(x+3)}[/tex]

Step-by-step explanation:

The parent log function has a vertical asymptote at x=0, so the asymptote at x=-3 indicates a left shift of 3 units.

The parent log function crosses the x-axis 1 unit to the right of the vertical asymptote, which this one does, indicating there is no vertical shift.

The parent log function has an x-value equal to its base when it has a y-value of 1. Here, the y-value of 1 corresponds to an x-value 3 units to the right of the vertical asymptote, so the base of this logarithm is 3.

The function is ...

  [tex]\boxed{y=\log_3{(x+3)}}[/tex]

Answer:

  -17.67 +3.43i

Step-by-step explanation:

Carry out the indicated math:

  18 cis 169° = (18·cos(169°) +i·18·sin(169°)) = (18·(-0.9816) +i·18·0.1908)

  = -17.67 +i·3.43

Answer:

The rectangular form is z = -17.67 + i 3.43

Step-by-step explanation:

Answer:

Well I took it"s Reflect the intermediate image.  and Multiply the vertices of polygon ABCD by One-half.

Step-by-step explanation:

Answer:

2 and 5 or B and E

Step-by-step explanation:

i did it on edge! ; )

Answer:

C

Step-by-step explanation:

Recall the equation for a circle:

[tex](x-h)^2+(y-k)^2=r^2[/tex], where the center is (h,k) and the radius is r.

The given equation is:

[tex](x+5)^2+(y+7)^2=21^2[/tex]

Another way to write this is:

[tex](x-(-5))^2+(y-(-7))^2=21^2[/tex]

Thus, we can see that h=-5 and k=-7.

The center is at (-5, -7).

Answer:

c

Step-by-step explanation:

plato