Ryan wants to rent an apartment. The following table shows the monthly rent of five apartments and the monthly commuting time to work from each apartment.​ Ryan's opportunity cost of time is​ $15 per hour. Apartment Commuting Time​ (hours/month) Rent​ ($/month) 1 40 ​1,500 2 20 ​1,750 3 10 ​2,000 4 4 ​2,210 5 1 ​2,250 Refer to the table above. What is the total cost incurred per month if Ryan rents apartment​ 3? A. ​$2,000 B. ​$2,270 C. ​$2,150 D. ​$2,050 Ryan wants to rent an apartment. The following table shows the monthly rent of five apartments and the monthly commuting time to work from each apartment.​ Ryan's opportunity cost of time is​ $15 per hour. Apartment Commuting Time​ (hours/month) Rent​ ($/month) 1 40 ​1,500 2 20 ​1,750 3 10 ​2,000 4 4 ​2,210 5 1 ​2,250 Refer to the table above. The total cost per month is the highest if Apartment​ ________ is rented. A. 2 B. 3 C. 4 D. 5

The rule that was  used to translate the image Triangle EFG to E'F'G' is

T2,-4(x,y)

Given :

To find out the rule, we need to check the coordinates E  and E'

E is (-3,4)  and E' is (-1,0)

-3 + x = -1

x = -1 +3

   = 2

4 + y = 0

y = 4

So, we can say that 2 is added with x  and 4 is subtracted from y  to get E'

Let's check with F and F'

F(–5, –1)  and F’(–3, –5)

-5+2=-3

-1-4=-5

So the rule used to translate the image is T2,-4(x,y)

A triangle is a polygon with three sides and three vertices. It is one of the basic shapes in geometry. A triangle with vertices A, B, and C are represented as triangle ABC.

In Euclidean geometry, any three points, if not collinear, define a unique triangle and, at the same time, a unique plane (that is, two-dimensional Euclidean space). This means that there is only one plane containing this triangle, and all triangles are contained in one plane. If all geometries were just Euclidean planes, there would be only one plane and all triangles would be in it. But this is not the case in high-dimensional Euclidean space.

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Answer:

x-intercept = 4

y-intercept = -1

As ordered pairs they would be ( 4, 0) and ( 0, -1)

Step-by-step explanation:

The line goes through 4 on the x line and goes through -1 on the y line.

As an ordered pair you just put the numbers in their x and y spots being ( x, y )

With 4 being on the X and -1 being on the Y it would make them ( 4, 0) and

( 0, -1).

The quotient 35 divided by 11 is the only one among the options that is greater than 3.

To determine which quotient is greater than 3, we can calculate the value of each quotient:

28 divided by 10 = 2.8

35 divided by 11 ≈ 3.182

38 divided by 13 ≈ 2.923

40 divided by 14 ≈ 2.857

Comparing these values, we can see that only the quotient 35 divided by 11, which is approximately 3.182, is greater than 3.

Therefore, the quotient 35 divided by 11 is the only one among the options that is greater than 3.

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Answer:transversive property

Step-by-step explanation:

Answer:

the photos isn't clear!

Answer:

y= 1/7x + 3

Step-by-step explanation:

1/7 is the slope and 3 is the y-intercept

Answer:

y = 1/7x + 3

Step-by-step explanation:

the y - intercept id 3

the slope is 1/7 whuch we find by doing rise over run

hope this helps <3

The frequency of A allele after a single generation of mutation can be found as follows: Frequency of A allele after a single generationp(A) = p(A) x (1 - m) + q(a) x m

where,
m = mutation rate = 10^-6p(A) = frequency of A allele in initial generation = 0.75q(a) = frequency of a allele in initial generation = 0.25Thus,p(A) = 0.75 x (1 - 10^-6) + 0.25 x 10^-6 = 0.74999925

And the frequency of a allele will beq(a) = 1 - p(A) = 1 - 0.74999925 = 0.25000075

Therefore, the frequency of the A and a alleles in the next generation will beA: 0.74999925 and a: 0.25000075.

This is option D.

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Answer:

D.Place the tip of the compass on point X

Step-by-step explanation:

To construct an angle congruent to angle Q involves drawing an angle X that is the same measure as angle Q. Below are the steps involved.

i) First measure any length with your compass and place the compass on point Q to draw an arc to touch both lines at point R and S.

ii) With the same length used to draw the arc that touch at point R and S, place the compass on point X and then draw an arc, the point at which the arc touches the line on which point x lies should be labeled T.

iii) measure with the distance with the compass from point R to S. With the distance, place the compass on point T and draw an arc.

iv) Where the arc from (iii) and (ii) intersect should be labeled T. From point T draw a line to point X.

The resulting angle is a congruent angle to angle Q

Answer:

9

Step-by-step explanation:

because the 9 is the highest point

The distance from the center of dilation, Q, to the image of vertex A will be 4 units.

According to the given rule of dilation, D subscript Q, two-thirds, the triangle ABC will be dilated with a scale factor of two-thirds centered at point Q.

Since point Q is the center of dilation and the distance from triangle ABC to point Q is 6 units, the image of vertex A will be 2/3 times the distance from A to Q. Therefore, the distance from A' (image of A) to Q will be (2/3) x 6 = 4 units.

By applying the scale factor to the distances, we can determine that the length of A'B' is (2/3) x  3 = 2 units, the length of B'C' is (2/3) x 7 = 14/3 units, and the length of A'C' is (2/3) x 8 = 16/3 units.

Thus, the distance from the center of dilation, Q, to the image of vertex A is 4 units.

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Answer:  see proof below

Step-by-step explanation:

Use the following Power Reducing Identities:

\(\cos^2 A = \dfrac{1}{2}(1 + \cos 2A)\\\\\sin^2 A = \dfrac{1}{2}(1 - \cos 2A)\)

Use the following Product to Sum Identity:

\(\cos A\cdot \cos B=\dfrac{1}{2}\bigg[\cos(A+B)+\cos(A-B)\bigg]\)

Proof LHS → RHS

\(\text{LHS:}\qquad \qquad \qquad \cos^2\beta\cdot \sin^4\beta\\.\qquad \qquad \qquad =\cos^2\beta\cdot \sin^2\beta\cdot \sin^2 \beta\)

\(\text{Power Reducing:}\qquad \dfrac{1}{2}\bigg(1+\cos 2\beta\bigg)\dfrac{1}{2}\bigg(1-\cos 2\beta\bigg)\dfrac{1}{2}\bigg(1-\cos 2\beta\bigg)\\\\\\.\qquad \qquad \qquad \quad =\dfrac{1}{8}(1+\cos 2\beta)(1-\cos 2\beta)(1-\cos 2\beta)\)

\(\text{Expand:}\qquad \qquad \dfrac{1}{8}\bigg(1-\cos 2\beta-\cos^2 2\beta+\cos^3 2\beta\bigg)\\\\.\qquad \qquad \qquad =\dfrac{1}{8}\bigg(1-\cos 2\beta-\cos^2 2\beta+\cos^2 2\beta \cdot \cos \2\beta\bigg)\)

\(\text{Power Reducing:}\qquad \dfrac{1}{8}\bigg(1-\cos 2\beta -\dfrac{1}{2}(1+\cos 4\beta)+\dfrac{1}{2}(1+\cos 4\beta)\cos 2\beta\bigg)\\\\.\qquad \qquad \qquad =\dfrac{1}{16}\bigg(2-2\cos 2\beta -1-\cos 4\beta +\cos 2\beta +\cos 4\beta \cdot \cos 2\beta \bigg)\\\\.\qquad \qquad \qquad =\dfrac{1}{16}\bigg(1-\cos 2\beta -\cos 4\beta+\cos 4\beta \cdot \cos 2\beta \bigg)\)

\(\text{Product to Sum:}\quad \dfrac{1}{16}\bigg(1-\cos 2\beta -\cos 4\beta +\dfrac{1}{2}[\cos(4\beta+2\beta)+\cos (4\beta-2\beta)]\bigg)\\\\.\qquad \qquad \qquad =\dfrac{1}{32}\bigg(2-2\cos 2\beta -2\cos 4\beta +\cos 6\beta +\cos 2\beta\bigg)\\\\.\qquad \qquad \qquad =\dfrac{1}{32}\bigg(\cos 6\beta-2\cos 4\beta -\cos 2\beta +2 \bigg)\)

\(\text{LHS=RHS:}\\ \dfrac{1}{32}\bigg(\cos 6\beta-2\cos 4\beta -\cos 2\beta +2 \bigg)=\dfrac{1}{32}\bigg(\cos 6\beta-2\cos 4\beta -\cos 2\beta +2 \bigg)\)

Answer:

Step-by-step explanation:

55x + 70y = 1480

x + y = 25

55x + 70y = 1480

-55x -55y = -1375

15y = 105

y = 7 VIP tickets sold

x + 7 = 25

x = 18 general admission tickets

(18,7)

The expression to represent the given phrase is 21/b.

An expression is a combination of terms that are combined by using mathematical operations such as subtraction, addition, multiplication, and division.

Given that, 21 divided by a number b.

The terms involved in an expression in math are:

Constant: A constant is a fixed numerical value.

Variable: A variable is a symbol that doesn't have a fixed value.

So, the expression is 21/b

Therefore, the expression to represent the given phrase is 21/b.

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The assumption that AXB is a bounded angle is false, as a result, if AXB is a circumscribed angle of circle C, then AXB and ACB are supplementary.

To complete the proof of the Circumscribed Angle Theorem, use the fact that an inscribed angle of a circle is equal to half of the central angle that intercepts the same arc.

Since angle ∠AXB is circumscribed by the circle, point X lies on the circumference of the circle. Therefore, angles ∠CXA and ∠CXB are inscribed angles that intercept the same arc AB.

By the Inscribed Angle Theorem:

∠CXA = ½∠CAB

∠CXB = ½∠CAB

Adding these two equations:

∠CXA + ∠CXB = ½∠CAB + ½∠CAB

∠CXA + ∠CXB = ∠CAB

Now, observe that angles ∠CAB and ∠ACB form a linear pair, since they are adjacent angles that together make a straight line. Therefore, they are supplementary, which means:

∠CAB + ∠ACB = 180°

Substituting ∠CAB with ∠CXA + ∠CXB:

∠CXA + ∠CXB + ∠ACB = 180°

Finally, ∠AXB and ∠CXB form a linear pair, since they are adjacent angles that together make a straight line. Therefore, they are supplementary, which means:

∠AXB + ∠CXB = 180°

Substituting ∠CXB with ∠CAB - ∠CXA:

∠AXB + ∠CAB - ∠CXA = 180°

Adding ∠CXA to both sides:

∠AXB + ∠CAB = ∠ACB + 180°

Substituting ∠AXB + ∠CAB with 180° (since they are adjacent angles that together make a straight line):

180° = ∠ACB + 180°

Simplifying:

∠ACB = 0°

This is a contradiction, since we know that ∠ACB is a non-zero angle. Therefore, our assumption that ∠AXB is a circumscribed angle must be false. Hence, we have proved that if ∠AXB is a circumscribed angle of circle C, then ∠AXB and ∠ACB are supplementary.

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Answer:I think you can say like the most bought music in class B is alternative and the lowest one is classical and so on

Step-by-step explanation:

Answer:

60 kilometers

Step-by-step explanation:

By applying the subtraction formula for trigonometric function cosine, we can express the given expression as cos(6°).

To express the expression cos(12°) cos(18°) − sin(12°) sin(18°) as a trigonometric function of one number, we can use the subtraction formula for cosine. The subtraction formula states that cos(A - B) = cos(A) cos(B) + sin(A) sin(B). By applying this formula, we have:

cos(12°) cos(18°) − sin(12°) sin(18°)

= cos(12° - 18°) (using the subtraction formula)

= cos(-6°)

= cos(6°) (since the cosine function is an even function)

Thus, the expression cos(12°) cos(18°) − sin(12°) sin(18°) can be written as cos(6°), which is a trigonometric function of the single number 6°.

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Answer:

A. 15

Step-by-step explanation:

trust me lol

hope this helped btw

Answer:

your picture is blank if you can fix it i will be glad to help you

Step-by-step explanation:

Answer:

First option

Step-by-step explanation:

The line corresponds to the f(x).

Hope this helps

Answer:

The answer is -8

Step-by-step explanation:

First, add 8 to both sides to separate the 3r from the rest of the terms. Now you have 3r = -24. Divide both sides by 3, and now you have r = -8

Answer:

r = -8

Step-by-step explanation:

3r-8 = -32

add 8 to -32

3r = -24

divide 3 by -24

and you get -8

Angle A is 19 degrees.

Angle C is 90 degrees.

Side a is approximately 7.83.

Side c is approximately 34.50.

To solve the right triangle given that B = 71 degrees and b = 24, we can use the trigonometric ratios sine, cosine, and tangent.

Finding Angle A:

Angle A is the complementary angle to B in a right triangle, so we can calculate it using the equation:

A = 90 - B

Substituting the given value, we have:

A = 90 - 71

A = 19 degrees

Therefore, Angle A is 19 degrees.

Finding Angle C:

Since it is a right triangle, Angle C is always 90 degrees.

Therefore, Angle C is 90 degrees.

Finding Side a:

We can use the sine ratio to find the length of side a:

sin(A) = a / b

Rearranging the equation to solve for a, we have:

a = b * sin(A)

Substituting the given values, we have:

a = 24 * sin(19)

a ≈ 7.83

Therefore, the length of side a is approximately 7.83.

Finding Side c:

Using the Pythagorean theorem, we can find the length of side c:

c^2 = a^2 + b^2

Substituting the given values, we have:

c^2 = 7.83^2 + 24^2

c^2 ≈ 613.68 + 576

c^2 ≈ 1189.68

Taking the square root of both sides to solve for c, we have:

c ≈ √1189.68

c ≈ 34.50

Therefore, the length of side c is approximately 34.50.

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\(\textit{volume of a sphere}\\\\ V=\cfrac{4\pi r^3}{3}~~ \begin{cases} r=radius\\[-0.5em] \hrulefill\\ V=65\pi \end{cases}\implies 65\pi =\cfrac{4\pi r^3}{3}\implies \cfrac{3}{4\pi}\cdot 65\pi =r^3 \\\\\\ \cfrac{195}{4}=r^3\implies \sqrt[3]{\cfrac{195}{4}}=r\implies 3.65\approx r\)

Answer:

The answer is 24.78 m^2

Step-by-step explanation:

I did the test

The outside circumference of the walking path is 50.24 meters and the inside circumference of the walking path is 25.12 meters then the area of the walking path is 150.72 m²

A circle is a shape consisting of all points in a plane that are at a given distance from a given point, the centre.

The formula for circumference of circle is 2πr

The area of circle is πr²

Area of large circle

Given:

circumference = 50.24 m

50.24 = 2 × 3.14 × r

r = 8 m

Therefore Area = 3.14 × 8²

= 200.96 m²

Area of small circle

Given circumference = 25.12 m

⇒ 25.12 = 2 × 3.14 × r

⇒ r = 4 m

Therefore Area = 3.14 × 4²

= 50.24 m²

Area of shaded path area = area of large circle - area of small circle

= 200.96 - 50.24

= 150.72 m²

Hence,  the area of the walking path is 150.72 m²

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Answer:

Exact Form:

log  ( 7 )

log  ( 3 )

Decimal Form:

1.77124374

Step-by-step explanation:

Answer:

look at pic

Step-by-step explanation:

Answer is in the photo. I can only upload it to a file hosting service. link below!

tinyurl.com/wpazsebu

A population has a mean of 180 and a standard deviation of 36. A sample of 84 observations will be taken. The probability that the sample mean will be between 181 and 185 is

Given n(sample size) = 84

Population mean(μ) = 180

Standard Deviation(σ) = 36

Standard error of the mean = σx-bar = σ/√n = 36/√84 = 36/9.165 = 3.927

Standardizing the sample mean we have

Z = (x-bar - μ)/σx-bar = (x-bar - μ)/σ/√n

x-bar = 180

Z(x-bar=185 at point C) = (185 - 180)/3.927 = 5/3.927 = 1.273

Z(x-bar=181 at point D) = (181 - 180)/3.927 = 1/3.927 = 0.254

The area ABCD is the probability that the sample mean will lie between 181 and 185.

The shaded Area ABCD = (Area corresponding to Z = 2 or x-bar = 185) - (Area corresponding to Z = 1 or x-bar = 181)

Area corresponding to Z = 1.273 = 0.898

Area corresponding to Z = 0.254 = 0.598

The shaded Area ABCD = 0.898-0.598 = 0.300

Therefore the probability that the sample mean will lie between 181 and 185 is 0.300.

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Answer:

$27

Step-by-step explanation:

You can get the equation 30 - 30 * 1/10 = x, and x is what we are looking for. Simplifying gives 30 - 3, so x is 27. So, the answer is $27.

Answer:

$3

Step-by-step explanation: 10%= 0.10 divide that by 30, 30 ÷ 0.10 = 3

Herman Hollerith proposed the use of punched cards for counting the census.

The punched card system for counting the census was proposed by Herman Hollerith. Hollerith was an American inventor and statistician who developed the punched card tabulating machine. He presented his idea in the late 19th century as a solution to the challenge of processing and analyzing large amounts of data efficiently.

Hollerith's system involved encoding information on individual cards using punched holes to represent different data points. These cards were then processed by machines that could read and interpret the holes, enabling the automatic counting and sorting of data. The punched card system revolutionized data processing, making it faster and more accurate than manual methods.

Hollerith's invention laid the foundation for modern computer data processing techniques and was widely adopted, particularly by government agencies for tasks like the census. His company eventually became part of IBM, which continued to develop and refine punched card technology.

In summary, Herman Hollerith proposed the use of punched cards for counting the census. His invention revolutionized data processing and laid the groundwork for modern computer systems.

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