At 2:45 p.m., a jet is located 56 mi due east of a city. A second jet is located 30 mi due north of the city. To the nearest tenth of a mile, what is the distance between the two jets?

Answer:

314 units²

Step-by-step explanation:

Centre of the circle = (0, 0)

Another point on the circle = (-6, -8)

[tex]\text {Radius = }\sqrt{(0 - (-6))^2 + (0- (-8))^2}[/tex]

[tex]\text {Radius = }\sqrt{6^2 + 8^2}[/tex]

[tex]\text {Radius = }\sqrt{100}[/tex]

[tex]\text {Radius = }10[/tex]

Area = π (10)² = 100π = 314 units²

Final answer:

The area of the circle is found by first calculating the radius using the distance formula, which is determined to be 10 units. Then, the area formula πr² is used to find that the area of the circle is 100π square units.

Explanation:

To find the area of the circle centered at the origin containing the point (-6, -8), we first need to determine the radius of the circle. The radius can be found using the distance formula for a point from the origin, which is √((-6)²+ (-8)²). After calculating the radius, we use the formula for the area of a circle, which is πr^2, to find the circle's area.

The distance from the origin to the point (-6, -8) is the radius (r) of the circle: r = √((-6)² + (-8)²) = √(36 + 64) = √100 = 10.

Now that we have the radius, we can calculate the area (A): A = πr² = π(10)² = 100π square units.

Steps needed: 1. 464 / 19 = 24.4210526. 2. 19 books per 1 box

Answer: 25 boxes because then every book is in a box.

25 boxes is the answer

Answer:

84

Step-by-step explanation:

To find this, we need to understand the combination formula.

If we have n items and we want to choose r at a time, we use the formula:

[tex]nCr=\frac{n!}{(n-r)!*r!}[/tex]

Where n! means n(n-1)(n-2)....

So we want 9C3, plugging them into the formula and doing some arithmetic, we have:

[tex]nCr=\frac{n!}{(n-r)!*r!}\\9C3=\frac{9!}{(9-3)!*3!}\\=\frac{9!}{6!*3!}\\=\frac{9*8*7*6!}{6!*3*2*1}\\=\frac{9*8*7}{3*2*1}\\=84[/tex]

So, there can be 84 combinations possible.

Answer:

[tex]68m^2[/tex]

Step-by-step explanation:

To find the surface area of the prism, we find the area of each similar faces and multiply by 2 and then add all together

Area of square faces

[tex]2(4\times 4)=16m^2[/tex]

Area of parallelogram faces

[tex]=2bh[/tex]

[tex]=2(2\times 4)=16m^2[/tex]

Area of the rectangular faces;

[tex]=2(4\times 2.5)=20m^2[/tex]

The total surface area of the prism is 20+16+32=68 square meters

Answer:

  4

-------

x + 7

Step-by-step explanation:

sum of x and 7 = (x + 7)

So 4 divided by the sum of x and 7 = 4 / (x + 7)

Answer

  4

-------

x + 7

Final answer:

The correct way to write the expression '4 divided by the sum of x and 7' is 4 / (x + 7), which is not represented in any of the given options.

Explanation:

The expression 4 divided by the sum of x and 7 is written mathematically as 4 / (x + 7). None of the provided options A) 4 + 7 x, B) x 4 + 7, C) x + 7 4, or D) 4 x + 7 correctly represent this expression. The correct notation for division by a sum involves placing the sum in the denominator inside parentheses to ensure the correct order of operations is followed.

Answer:

b) 60 degrees because one radian is approximately 57.29 degrees so you'd probably go with 60 because you'd want more pie

Answer:

b) should be preferred

Step-by-step explanation:

Given that after dinner, your aunt serves slices of apple pie.

Central angle of a circle determines the area of the sector

Slice of apple pie here represents the sector area.

Area of a sector = [tex]\frac{x}{360} (\pi r^2)[/tex]

i.e. when central angle increases area also increases.

Comparing one radian and 60 degrees, we get

60 degrees = [tex]\frac{60}{180}\pi =\frac{3.14}{3} \\=1.0467[/tex] radians

Since 60 degrees is more

b) should be preferred

Answer: b/t = 1/2  (or) 0.5

Step-by-step explanation:

a+b/ a =3

a+b =  3a

b = 3a-a

b = 2a

t+a/a = 5

t+a = 5a

t = 5a-a

t = 4a

b/t = 2a /4a

     = 1/2

The value of b/t is 1/2.

We have,

(a + b) / a = 3 ...(Equation 1)

(t + a) / a = 5 ...(Equation 2)

Let's solve Equation 1 for b:

(a + b) / a = 3

Multiplying both sides by a:

a + b = 3a

Subtracting a from both sides:

b = 3a - a

b = 2a ...(Equation 3)

Now, let's solve Equation 2 for t:

(t + a) / a = 5

Multiplying both sides by a:

t + a = 5a

Subtracting a from both sides:

t = 5a - a

t = 4a ...(Equation 4)

Now, let's substitute these values into the expression b/t:

b/t = (2a) / (4a)

b/t = 2a / 4a

b/t = 1/2

Therefore, the value of b/t is 1/2.

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Answer:

20%

Step-by-step explanation:

100% shared between 5 peoples.

100/5 = 20%

Yeah_Boi ;)

Follow me on Insta,

khuturr_

a cake is shared between 5 people what percentage of the cake does earch person get

your answer is=20%

Okay I’ll give it my best to explain and solve understand I’m human and if I get this wrong I made a mistake please don’t hate me having said that 96= {x+2} * {x-2} combining like terms x*x (2-2=0) = 92 x^2 and that’s how far I can get you

Answer:

x = 24.                      

Step-by-step explanation:

Set 96 = (x+2)+(x+2) + (x-2)+(x-2).  Then simplify: 96 = (2x+4) + (2x-4). Simplify again XD: 96 = 4x (since +4 and -4 cancel out to get 0) . Divide 96 by 4 and your final answer should  be 24         Wow..that was pretty slight lol :D

A prism is a three-dimensional object that keeps the same cross-section throughout its length, such as a cylinder. An example of this is a cylinder, which has circular ends and maintains this cross-section throughout its length.

A prism is a three-dimensional shape with the same cross-section all the way through. This means that if you were to cut the prism at any point along its length, the shape you would see would be the same. An example of this is a cylinder, which has circular ends and maintains this cross-section throughout its length.

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Answer:

B. 4 and 6 in

Step-by-step explanation:

The triangle inequality rule states: the length of a side of a triangle is less than the sum of the lengths of the other two sides and greater than the difference of the lengths of the other two sides.

So for the first qualification, we can eliminate A, C, and D. Therefore the answer is B, 4 & 6 in

To check whether the given side-lengths can form a triangle, we have to use the Triangle Inequality Theorem. This theorem states that for any triangle, the sum of the lengths of any two sides must be greater than the length of the third side.
Let's apply this theorem to each pair of side-lengths given in the options along with the third side of 10 inches:
Option A:
Sides are 3 in, 8 in, and 10 in. According to the Triangle Inequality Theorem, we need to check if:
- 3 + 8 > 10 (which is true, since 11 > 10)
- 3 + 10 > 8 (which is true, since 13 > 8)
- 8 + 10 > 3 (which is true, since 18 > 3)
Since all three conditions are satisfied, option A can form a triangle.
Option B:
Sides are 4 in, 6 in, and 10 in. According to the Triangle Inequality Theorem, we need to check if:
- 4 + 6 > 10 (which is not true, since 10 is not greater than 10)
- 4 + 10 > 6 (which is true, since 14 > 6)
- 6 + 10 > 4 (which is true, since 16 > 4)
Since not all conditions are satisfied (specifically, the sum of the two smaller sides is not greater than the third side), option B cannot form a triangle.
Option C:
Sides are 5 in, 15 in, and 10 in. According to the Triangle Inequality Theorem, we need to check if:
- 5 + 15 > 10 (which is true, since 20 > 10)
- 5 + 10 > 15 (which is not true, since 15 is not greater than 15)
- 15 + 10 > 5 (which is true, since 25 > 5)
Since not all conditions are satisfied, option C cannot form a triangle.
Option D:
Sides are 6 in, 18 in, and 10 in. According to the Triangle Inequality Theorem, we need to check if:
- 6 + 18 > 10 (which is true, since 24 > 10)
- 6 + 10 > 18 (which is not true, since 16 is not greater than 18)
- 18 + 10 > 6 (which is true, since 28 > 6)
Since not all conditions are satisfied, option D cannot form a triangle.
Therefore, the only option that satisfies the Triangle Inequality Theorem and thus can be the measures of the other two sides of the triangle with one side measuring 10 inches is:
Option A: 3 in & 8 in.

Answer:

-87

Let's find the discriminant.

6x2+3x+4=0

Step 1: Find discriminant with a=6, b=3, c=4.

b2−4ac

=(3)2−4(6)(4)

=−87

For this case we have a quadratic equation of the form:

[tex]ax ^ 2 + bx + c = 0[/tex]

Where:

[tex]a = 6\\b = 3\\c = 4[/tex]

By definition, we have that the discriminant is given by:

[tex]D = b ^ 2-4 (a) (c)[/tex]

Substituting the values:

[tex]D = (3) ^ 2-4 (6) (4)\\D = 9-96\\D = -87[/tex]

Answer:

The discriminant of the given equation is:

[tex]D = -87[/tex]

Answer:

[tex]15.42mi[/tex]

Step-by-step explanation:

Use the formula for a semicircle's perimeter.

[tex]P=\frac{1}{2}\pi *d+d[/tex]

Plug in 6 for d.

[tex]P=\frac{1}{2}\pi*6+6[/tex]

Let's use 3.14 for [tex]\pi[/tex], just to make it easier, but of course, if it states to round it to something else, just plug in that many values for [tex]\pi[/tex].

[tex]P=\frac{1}{2}(3.14)*6+6 \\ \\ P=1.57*6+6 \\ \\ P=9.42+6 \\ \\ P=15.42[/tex]

Answer:

Step-by-step explanation:

The perimeter = pi * d + d

d = 6 miles

The perimeter = pi*6 + 6       This is one possible answer

perimeter = 6*3.14 + 6

perimeter = 18.84 + 6

perimeter = 24.84                  Which is another possibility

If you have choices, please list them.

Answer:

Step-by-step explanation:

"At least" means "greater than or equal to."

  x - 19.35 ≥ 97.22

  x ≥ 116.57 . . . . . . . . . add 19.35

Bella originally had at least $116.57 in her account.

Answer:

The Answer is the 2nd Table from the top

Step-by-step explanation:

Total of 30 men, 20 watched 10 didn't

Total of 80 participants, 45 Watched, 35 Didn't

The Female participants had to add up to fill in the bottom rows.

The domain of the function for this situation is [8, 12].

The given function is c = 34.95u + 6.25, where c represents the total cost in dollars and u represents the number of uniforms bought.

To find the domain of the function for this situation, we need to determine the range of values that u can take within the given restrictions.

The question states that there should be at least 8 players but not more than 12 players on the volleyball team.

Therefore, the domain of the function is the set of numbers greater than or equal to 8 and less than or equal to 12. In interval notation, the domain can be represented as [8, 12].

Final answer:

The domain of the function c = 34.95u + 6.25 for the number of uniforms needed by a volleyball team is {8, 9, 10, 11, 12}, which corresponds to the number of players on the team, ranging from 8 to 12.

Explanation:

The function c = 34.95u + 6.25 represents the total cost to buy uniforms, where u is the number of uniforms. To determine the domain of this function based on the number of players, we note that there are at least 8 players and no more than 12 players on the volleyball team. Therefore, the number of uniforms (and hence the value of u) can range from 8 to 12, inclusive.

The domain of the function in this context is the set of whole numbers from 8 to 12. So, the domain is {8, 9, 10, 11, 12}.

Answer:

The plane should pass through the central axis, along the vertical diagonals of the cube, in order to produce a cross section that is a regular hexagon.

Step-by-step explanation:

The plane should pass through the central axis, along the vertical diagonals of the cube, in order to produce a cross section that is a regular hexagon.

Please see the image attached for better visualization.

To produce a regular hexagon as a cross section of a cube, the plane should pass through the cube's vertices and form an equilateral triangle with the three edges it intersects.

In order to produce a regular hexagon as a cross section of a cube, the plane should pass through the cube's vertices. The three edges that the plane passes through should form an equilateral triangle on the face of the cube. This is because a regular hexagon can be formed by placing equilateral triangles side by side.

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what's missing is, how many days she was on vacation

Answer:

b. equal to

Step-by-step explanation:

difference means subtract

19 - 4 = 15

5 * 3 = 15

and 15 is the answer for both so that means the blank is equal to (b)

Answer:

b

Step-by-step explanation:

The difference of 19 and 4 is 15.

5 multiplied by 3 is 15.

So the two are equal.

Given : The scale on the map shows that 1.5 cm represents 100 miles.

By unitary method,

1.5 cm = 100 miles

1 cm = 100/1.5 miles

39.2 cm = (100 × 39.2)/1.5 = 2613.33 miles (approx.)

Hence,

B) 2613.3 miles is the required answer.

Answer:

c

Step-by-step explanation:

did  da work

Answer:

B

Step-by-step explanation:

Find the median and the upper/lower quartiles

Rearrange the data in ascending order

33, 36, 37, 38, 41, 42, 46, 49, 50, 50, 51, 52, 53, 54

The median is the middle value of the data or if there is no exact value at the middle then it is the average of the 2 values either side of the middle

Here the median is between 46 and 49

median = [tex]\frac{46+49}{2}[/tex] = 47.5

The upper quartile is the middle value of the data to the right of the median

[tex]Q_{3}[/tex] = 51

The lower quartile is the middle value of the data to the left of the median

[tex]Q_{1}[/tex] = 38

The minimum value = 33

The maximum value = 54

The lower quartile is the left side of the box plot

The upper quartile is the right side of the box plot

The median is located inside the box plot

The corresponding box plot is B

B is the answer good luck man

The solution is, Mean Absolute Deviation = 2.2222

The next three procedures are necessary to calculate the mean absolute deviation.

By adding up all the observations and dividing by the sample size, you can determine the sample average.

Discover the total deviation from the mean of each data point. When negative signals appear, ignore them and instead deduct the observed values from the mean.

Determine the absolute deviations' average. Divide the total of the values from step #2 by the sample size.

here, we have,

Input Data:

Data set = 1, 2, 3, 4, 5, 6, 7, 8, 9

Total number of elements = 9

Objective:

Find what is mean absolute for given input data?

Solution:

X mean = (1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9)/9

= 45/9

X mean = 5

MAD = (1 - 5) + (2 - 5) + (3 - 5) + (4 - 5) + (5 - 5) + (6 - 5) + (7 - 5) + (8 - 5) + (9 - 5)9 = (4) + (3) + (2) + (1) + (0) + (1) + (2) + (3) + (4)9

=209

Mean Absolute Deviation = 2.2222

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Answer:

see explanation

Step-by-step explanation:

Note that the formula given is incorrect.

The formula for the sum to n terms of an arithmetic sequence is

[tex]S_{n}[/tex] = [tex]\frac{n}{2}[/tex] [ 2a + (n - 1)d ]

Substituting the given values into the formula

[tex]S_{42}[/tex] = [tex]\frac{42}{2}[/tex] [ (2 × 50) + ( - 2 × 41) ]

                          = 21 ( 100 - 82)

                          = 21 × 18 = 378

Answer:

440

Step-by-step explanation:

124+124+96+96=440

Answer:

$478

Step-by-step explanation:

To calculate the profit, we have to subtract the expenses from the revenues.

P = Revenues - expenses

We know the family gained $523 from the yard sale.

We also know they had to pay $45 for advertising.

So, the net different is the profit for the family:

P = $523 - $45 = $478.

That was a very good yard sale!, I hope mine went that well.

528 -45 would be your answer

Answer:

# The transformation of f(x) to be g(x) is

- Reflected across the x-axis

- Translated 7 units to the left

- Translated 6 units up

# The transformation of f(x) to be g(x) is

- Reflected across the y-axis

- Translated 7 units down

Step-by-step explanation:

* Lets revise some transformation rules

* Lets talk about the transformation

- If the function f(x) reflected across the x-axis, then the new

 function g(x) = - f(x)

- If the function f(x) reflected across the y-axis, then the new

 function g(x) = f(-x)

- If the function f(x) translated horizontally to the right  

 by h units, then the new function g(x) = f(x - h)

- If the function f(x) translated horizontally to the left  

 by h units, then the new function g(x) = f(x + h)

- If the function f(x) translated vertically up  

 by k units, then the new function g(x) = f(x) + k

- If the function f(x) translated vertically down  

 by k units, then the new function g(x) = f(x) – k

* Lets solve the problems

# f(x) = 2^x ⇒ g(x) = -(2)^(x + 7) + 6

- There is a -ve sign in-front of the 2

∵ f(x) will be -f(x)

∴ f(x) will reflect across the x-axis ⇒ (1)

- The power x becomes x + 7

∵ -f(x) will be -f(x + 7)

∴ -f(x) will translate 7 units to the left ⇒ (2)

- after that -f(x + 7) add by 6

∴ -f(x + 7) will translate 6 units up ⇒ (3)

- From (1) , (2) , (3)

∴ The transformation of f(x) to be g(x) is

- Reflected across the x-axis

- Translated 7 units to the left

- Translated 6 units up

# f(x) = ㏒(x) ⇒ g(x) = ㏒(-x) - 7

- The (x) will be (-x)

∵ f(x) will be f(-x)

∴ f(x) will reflect across the y-axis ⇒ (1)

- after that f(-x) subtracted by 7

∴ f(-x) will translate 7 units down ⇒ (2)

- From (1) , (2)

∴ The transformation of f(x) to be g(x) is

- Reflected across the y-axis

- Translated 7 units down

* For more understand look to the attached graphs

# First function:

- f(x) is the red

- g(x) is the blue

# Second function:

- f(x) is the black

- g(x) is the green

Answer:

$10 + ($55 * h)

Step-by-step explanation:

So we know from the question that the price automatically includes $10, add that at the beginning.

Then, we have to pay $55 per hour, h.

That means we have to multiply $55 by every hour; $55 * h.

That's how you get the expression!

Now you shall knoe da wae, my brudda.

Answer:

1/10

Step-by-step explanation:

Okay so, if you convert the fractions so they're both over ten, you have 2/10 and 7/10, adding those together you get 9/10 of the student population; leaving 1/10 of the students left. So the answer is 1/10 of the students ride the bus to school.

(Unless I completely read this question wrong lol, hope this helped some.)

Final answer:

In Ms. March's class, 7/10 of students walk and 1/5 ride bikes, leaving 1/10 of the class to ride on the school bus.

Explanation:

In Ms. March's class, 7/10 of the students walk to school, and another 1/5 of the students ride their bikes. To find out what fraction of the class rides on the school bus, we first need to add the fractions of students walking and riding bikes, and then subtract this total from 1 (which represents the whole class).

Add the fractions of students walking and biking: 7/10 + 1/5 = 7/10 + 2/10 = 9/10.

Subtract this total from 1 to find the fraction of students who ride the bus: 1 - 9/10 = 1/10.

Therefore, 1/10 of the class rides on the school bus.

Answer:

Average change of rate = 4

Step-by-step explanation:

The average rate of change is going to be the final value mines the initial value, divided by the change in the input of the function.

Average change of rate = (14 - (-2)) / 9 - 5 = 16/4 = 4

To calculate the average rate of change of a function from x = 5 to x = 9, one would need the function values at these points. The change in function values divided by the change in x values gives the average rate of change.

The average rate of change of a function over an interval is calculated by taking the difference in function values at the end points of the interval and dividing by the difference in the x-values.

In this case, to find the average rate of change of f(x) over the interval from x = 5 to x = 9, you look at the table to find the values of f(5) and f(9). Unfortunately, the table is incomplete, so we cannot find the exact values of f(5) and f(9). Assuming you have the complete table, with f(5) and f(9) known, the process would be:

If f(5) = a and f(9) = b, the average rate of change from x = 5 to x = 9 would be (b - a)/(9 - 5).

Answer:

R = 50

Step-by-step explanation:

The sum of the angles of a triangle equal 180 degrees

S + R + Q = 180

x+70 + x+ 20 + x = 180

Combine like terms

3x +90 =180

Subtract 90 from each side

3x+90-90 = 180-90

3x= 90

Divide by 3

3x/3= 90/3

x = 30

We want to find angle R

R = x+20

R = 30+20

R = 50