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Answer the questions about Figure A and Figure B below.

Answer:

81

Step-by-step explanation:

We need to have 4 odd factors not including 1 that are the same

Listing the odd numbers

1,3,5,7,9,11,13,.....

3 is the smallest odd number that is not 1

The factors of 3 are 1 and 3

The number is 3*3*3*3

                       81

Answer:

y - 0.32y = 0.68y

y + 0.32y = 1.32 y

Step-by-step explanation:

To simplify expressions, add/subtract using the coefficients of the terms.

y – 0.32y should be 1 - 0.32 = 0.68. This simplifies to 0.68y.

y + 0.32y should be 1 + 0.32 = 1.32. This simplifies to 1.32y.

7/5y = y+2/5y

0.68y = y-0.32y

3/5y = y-2/5y

1.32y = y+0.32y

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Answer:

3/36 (1/12) or 0.08333... or approximately an 8% chance of rolling a sum greater than 10 (i.e., sum of 11 or 12)

Step-by-step explanation:

There are 36 unique combinations of the 6 sides of the 2 dice

Roll a 1 and a 1 = one combination

Roll a 6 and a 6 = another combination

But roll a 2 and a 3 is treated as unique and different from rolling a 3 and a 2

If you create a 6 x 6 grid where you map out all the possible unique sum combinations of rolling two 6-sided dice you'll find at the very end/bottom of the grid that there are two ways to roll an 11 (5 then a 6; 6 then a 5) and only one way to roll a 12 (6 then a 6). That means there are 3 ways to get a sum greater than 10 out of 36 unique possible combinations

Can you guess why the sum of 7 is "Lucky Seven"?

The answer is:

The second option, Denver received 21.3 inches of snow during the period from 1888 to 1889.

To know how many inches of snow did Denver receive, we need to sum each the number of inches received per year from 1888 to 1889.

So, from the graph, we have:

For Nov '88, 3 inches.

For Dec '88, 0.8 inches.

For Jan '89, 5.5 inches.

For Feb '89, 8.4 inches.

For Mar '89, 3.6 inches.

Now, adding the number of inches for each month/year, we have:

[tex]Total=3in+0.8in+5.5in+8.4in+3.6in=21.3inches[/tex]

Hence, we have that Denver received a total of 21.3 inches for the 1888-1889 year period.

Have a nice day!

the answer is B. hope this helps.

Answer:

the answer is B)

Step-by-step explanation:

13.05 is the answer because the area of a triangle is A=1/2bh (base times height divided by 2) and 2.9x9=26.1 and 26.1 divided by 2 is 13.05

Answer:

y=6

Step-by-step explanation:

use elimination by making the ys opposite in value and eliminating them from the equation so there is only variable:

-3x+2y=6

2(4x-y=2)

-3x+2y=6

8x-2y=4

Combine like terms and divide by 5 on both sides.

5x=10

x=2

Plug x in to find y:

4(2)-y=2

8-y=2

y=6

The y-coordinate in the system of equations, we can use the elimination method. After manipulating the equations, we find that the y-coordinate of the solution is 6.

The y-coordinate of the solution for the given system of linear equations:

-3x + 2y = 6

4x - y = 2

We can use the method of substitution or elimination. Let's use elimination for this example:

Multiply the second equation by 2 to make the coefficients of y equal but opposite: -3x + 2y = 6 becomes -3x + 2y = 6 (unchanged) and 4x - y = 2 becomes 8x - 2y = 4.

Add the modified equations together: (-3x + 2y) + (8x - 2y) = 6 + 4, which simplifies to 5x = 10.

Divide by 5 to solve for x: x = 10 / 5, so x = 2.

Substitute x = 2 into one of the original equations to find y: -3(2) + 2y = 6, which simplifies to -6 + 2y = 6.

Add 6 to both sides to isolate 2y: 2y = 12.

Divide by 2 to solve for y: y = 12 / 2, so y = 6.

Therefore, the y-coordinate of the solution is 6.

Answer:

11.9 mm

Step-by-step explanation:

We can find d by applying the cosine rules.

d²  = 21² + 27² - 2(21)(27) cos (25)

d²  = 441 + 729 - 1027.75

d²  = 142.25

d = √142.25

d = 11.9 mm (nearest tenth)

d= 157.5 when t is 2.25. all you need to do is plug in 2.25 for t which gives us: d=70(2.25) = 157.7

Multiply the rate, 70 miles per hour, by the given time, 2.25 hours, to find that the distance d is 157.5 miles when t is 2.25 hours.

The question asks for the value of d when t is 2.25 in the equation d = 70t, where d represents the distance in miles and t represents the time in hours. To find the value of d, simply multiply the rate (70 miles per hour) by the given time (2.25 hours).

Solution: d = 70×2.25 = 157.5 miles

Therefore, the distance d when t is 2.25 hours is 157.5 miles.

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Answer:

From the information we have, we can prove that ΔBDA is similar to ΔCDB:

∠BDA≅∠CDB, ∠BAD≅∠CBD

=> ΔBDA ~ ΔCDB

=> BD/CD = AD/BD

=> 8/x = 15/8

=> x = (8 · 8)/15 ≈ 4.267

And we also have:

AD/BD = AB/BC

=> 15/8 = 17/y

=> y = (17 · 8)/15 ≈ 9.067

*I could be wrong though

Answer:

x = 4.267 and y = 9.067

Step-by-step explanation:

The triangle on the left and the triangle on the bottom are similar triangles.

Therefore, the following equation of ratios is true:

   y         8

------- = ------

  17        15

resulting in 15y = 8(17).   Then 8(17)/15 = 9.067.

Also:

 x       9.067

----- = -----------

 8          17

resulting in 17x = 8(9.067) = 72.533

Then x = 72.533/17 / 17 = 4.267

In summary, x = 4.267 and y = 9.067.

Yes by definition of parallelogram

Answer:

False

Step-by-step explanation:

A. Permutation; number of ways =24

Answer:

Option A. Permutation; number of ways = 24

Step-by-step explanation:

At a competition with 4 runners, 4 medals are rewarded for place place to fourth place.

We have to tell in this situation we will use permutation or combination to find the number of ways, medals can be rewarded.

We know when order matters then permutation is applied.

So number of ways to award the medals will be = 4! = 4×3×2×1 = 24

Therefore, option A. permutation : number of ways = 24 is the answer.

Answer:

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Step-by-step explanation:

Answer:

f(x)=7sin(4x)+3

Step-by-step explanation:

Answer:

The answer is 21.4.

Step-by-step explanation: Thank me later :)

Answer:

21.4

Step-by-step explanation:

Answer:

P(A ∩ B ∩ C) is 1/25 ⇒ answer D

Step-by-step explanation:

* Lets talk about the Venn diagram

- There are three circles intersect each other

- The number of elements ∈ (A ∩ B) and ∉ C = 5

∴ n(A ∩ B) and ∉ C = 5

- The number of elements ∈ (A ∩ C) and ∉ B = 6

∴ n(A ∩ C) and ∉ B = 6

- The number of elements ∈ (C ∩ B) and ∉ A = 4

∴ n(C ∩ B) and ∉ A = 4

- The number of elements ∈ (A ∩ B ∩ C) = 2

∴ n(A ∩ B ∩ C) = 2

- The number of elements ∈ A and ∉ B , C = 9

- The number of elements ∈ B and ∉ A , C = 8

- The number of elements ∈ C and ∉ A , B = 7

- The number of elements ∉ A , B , C = 9 ⇒ outside the circles

- The total elements in the Venn diagram is the sum of all

  previous numbers

∴ The total number in the Venn diagram = 5 + 6 + 4 + 2 + 9 + 8 + 7 + 9 =

  50

* To find the probability of (A ∩ B ∩ C), find the total number in

  the Venn diagram and the number of elements in the intersection

  part of the three circles

∵ The total elements in the Venn diagram = 50 elements

∵ n(A ∩ B ∩ C) = 2

∴ P(A ∩ B ∩ C) = 2/50 = 1/25

* P(A ∩ B ∩ C) is 1/25

Answer:

a=3.915 and b=1.106

Step-by-step explanation:

This is the answer on edju

The word problem is Royal works part-time at a local store and earns $12 per hour.

The equation is y = 12x, the graph is attached and the table is

Hours Worked | Earnings ($)

     1       |      12      

     2       |      24      

     3       |      36      

     4       |      48      

     5       |      60      

Create/Write a direct variation word problem

A direct variation word problem is as follows

Royal works part-time at a local store and earns $12 per hour.

The above is a direct variation word problem and the equation can be represented as

y = 12x

Where

So, we have the table of values to be

Hours Worked | Earnings ($)

     1       |      12      i.e. 12 * 1

     2       |      24      i.e. 12 * 2

     3       |      36      i.e. 12 * 3

     4       |      48      i.e. 12 * 4

     5       |      60      i.e. 12 * 5      

The graph of the function is added as an attachment

Answer: Try D

Step-by-step explanation:

The state with the second lowest population has the lowest population density.

The correct statement from the given option is The state with the second-lowest population has the lowest population density.

A ratio shows us the number of times a number contains another number.

The population density of a state is the ratio of the population of the state and the area of the state. Therefore, the population density of the states can be written as,

[tex]\text{Population density of state}=\dfrac{\text{Population of the state}}{\text{Area of the state}}\\\\\\\text{Population density of state A}=\dfrac{1,055,173}{2,677} = 394.163[/tex]

[tex]\text{Population density of state B}=\dfrac{1,333,089}{36,418} = 36.6\\\\\\\text{Population density of state C}=\dfrac{3,596,677}{5,543} = 648.87\\\\\\\text{Population density of state D}=\dfrac{6,745,408}{10,555} = 639.073[/tex]

Thus, the correct statement from the given option is The state with the second-lowest population has the lowest population density.

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Answer:

C) One student is chosen from Classroom A, then a second student is chosen from Classroom A.

Step-by-step explanation:

The choice of each student being chosen is dependent on the first one, as there will be one less person to choose from, leading to a higher chance of the another being chosen.

Answer:

i wanna say the answer is B

Step-by-step explanation:

Answer:

A. [tex]\frac{1}{5} log_{3}x +log_{3}y[/tex]

Step-by-step explanation:

We have the expression

[tex]log_{3} (\sqrt[5]{x} *y)[/tex]

As these two values are being multiplied, we can separate the two and the sum of them will be equal to the multiplied version

[tex]log_{3}\sqrt[5]{x} +log_{3}y[/tex]

The [tex]\sqrt[5]{x}[/tex] can be rewritten as [tex]x^{\frac{1}{5} }[/tex]. This allows us to use the exponent rule. This means that it can be written as

[tex]\frac{1}{5} log_{3}x +log_{3}y[/tex]

Answer:

A. [tex] \dfrac{1}{5} \log_3 x + \log_3 y [/tex]

Step-by-step explanation:

[tex] \log_3(\sqrt[5]{x} \cdot y) = [/tex]

The log of a product is the sum of the logs.

[tex] = \log_3 \sqrt[5]{x} + \log_3 y [/tex]

Now, write the root as a rational power.

[tex] = \log_3 x^\frac{1}{5} + \log_3 y [/tex]

The log of a power is the the exponent times the log of the base.

[tex] = \dfrac{1}{5} \log_3 x + \log_3 y [/tex]

Answer:

4

Step-by-step explanation:

Answer:

[tex]\frac{1}{2}[/tex]

Step-by-step explanation:

The probability of success (getting heads) on one roll DOESNT affect other rolls, so we need to find probability of getting a head in a roll.

Probability is defined as the number of favorable outcomes divided by the total number of outcomes.

Here, favorable outcome is getting a head. So, on one roll, getting a head is 1. Also, the total number of outcomes is either a head or a tail. So total number of outcomes is 2.

Thus,

P(Heads) = 1/2

Answer:

The correct option is:  82°

Step-by-step explanation:

In the given diagram, two chords [tex]RT[/tex] and [tex]SU[/tex] are intersecting.

According to the Angle of intersecting chord theorem, "If two chords intersect inside a circle, then the measure of the angle formed is one half the sum of the measure of the arcs intercepted by the angle and its vertical angle."

That means here......

[tex]94\°=\frac{1}{2}(m\widehat{RS}+m\widehat{TU})\\ \\ 94\°=\frac{1}{2}(106\°+m\widehat{TU})\\ \\ 2(94\°)=106\°+m\widehat{TU}\\ \\ 188\°=106\°+m\widehat{TU}\\ \\ m\widehat{TU}=188\°-106\°=82\°[/tex]

So, the measure of arc [tex]TU[/tex] is 82°

Answer:

True

Step-by-step explanation:

Because it is going back and forth it is

Answer:

Your answer is A,B,AND D

Step-by-step explanation:

The standard deviation for a sample of test scores is 0 tells you that, B) all the test scores must be the same value.

Standard deviation is a measure in statistics which describes how much is each quantity given deviates from the mean of the whole population.

When a sample of test scores are having a standard deviation of 0, this tells you that, the deviation of each of the values from the mean is 0.

This means that all the values must have the same value.

Suppose the data set is, 1, 1, 1, 1, 1.

All the data points are same.

Mean = 1

Deviation of each of the point from mean = 0

So standard deviation = 0

All the test scores are 0 is a special case of the above case where all the test scores are same.

Hence option B is correct.

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Final answer:

The third side of a triangle with sides of 6 inches and 12 inches must be greater than 6 inches and less than 18 inches in length, without being exactly 6 or 18 inches.

Explanation:

The length of the third side of a triangle with two sides measuring 6 inches and 12 inches must adhere to the Triangle Inequality Theorem. This theorem states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side. Consequently, for the given triangle, the possible range for the length of the third side, denoted as x, is between 6 inches and 18 inches (exclusive), that is: 12 - 6 < x < 12 + 6. The value of x cannot be exactly 6 or 18 inches because the triangle would collapse into a straight line. Therefore, the permissible length can be any real number greater than 6 inches but less than 18 inches.

Answer:If sin Θ is positive and tan Θ is negative, then the angle should be in the second quadrant using the rule of thumb. In this case, cos Θ is expected to be negative.

Step-by-step explanation:If sin Θ is positive and tan Θ is negative, then the angle should be in the second quadrant using the rule of thumb. In this case, cos Θ is expected to be negative.

Answer:

cos Ф = adj / hyp = √5 / 3

Step-by-step explanation:

If sin Ф is +, then Ф must be in either Quadrant 1 or Quadrant 2.

If tan Ф < 0, then Ф must be in either Quadrant 2 or Quadrant 3.  

So we conclude that Ф is in Quadrant 2.

If sin Ф = opp / hyp = 2/3, then opp = 2 and hyp = 3, and adj is found using the Pythagorean Theorem:

adj = √( 3² - 2² ) = √( 5 )

With adj = √5 and hyp = 3, cos Ф = adj / hyp = √5 / 3

Answer:

The measure of the other acute angle is 38°

Step-by-step explanation:

we know that

In a right triangle, the sum of the two acutes angles must be equal to 90 degrees (are complementary angles)

Let

x -----> the measure of the other acute angle

x+52°=90°

Solve for x

Subtract 52° both sides

x=90°52°

x=38°

Answer:

Part 1) Helen's age is 32 years old and Jane's age is 24 years old

Part 2) 13 twenty-dollar bills

Step-by-step explanation:

Part 1) Helen is 8 years older than Jane. Twenty years ago Helen was three times as old as Jane. How old is each now and what is the equation?

Let

x----> Helen's age

y---> Jane's age

we know that

x=y+8 ----> equation A

(x-20)=3(y-20) -----> equation B

substitute equation A in equation B and solve for y

(y+8-20)=3(y-20)

y-12=3y-60

3y-y=60-12

2y=48

y=24 years

Find the value of x

x=y+8

x=24+8=32 years

Part 2)

Let

x-----> the number of five-dollar bills

y----> the number of twenty-dollar bills

we know that

5x+20y=305 -----> equation A

y=x+4 ------> x=y-4 ------> equation B

substitute equation B in equation A and solve for y

5(y-4)+20y=305

5y-20+20y=305

25y=325

y=13 twenty-dollar bills

Find the value of x

x=y-4

x=13-4=9  five-dollar bills