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Chandresh has several fishing rods that she would like to pack in boxes. One box is shown below.

Which fishing rod will fit in the box shown?


A) 17-inch fishing rod B) 24-inch fishing rod C) 27-inch fishing rod D) 32-inch fishing rod

Answer:

 -p5q2 - p3q5 + 2p3 + 2pq2 + 2q3  

 ____________________________

              p3q2              

Step-by-step explanation:

            2

Simplify   ——

           q2

Equation at the end of step  1  :

      (p+q)         2

 (((2•—————)-(q3))+——)-p2

      (p3)         q2

Step  2  :

           p + q

Simplify   —————

            p3   (p + q)             2      

 (((2 • ———————) -  q3) +  ——) -  p2

          p3               q2      

Step  3  :    2 • (p + q)            2      

 ((——————————— -  q3) +  ——) -  p2

       p3                q2               q3     q3 • p3

   q3 =  ——  =  ———————

         1        p3  

The veterinarian gave each cat 1/5 of a bottle of medicine. By dividing the total medicine (2/5 of a bottle) by 1/5, we find that there were 2 sick cats.

To find the number of sick cats, we need to divide the amount of medicine given to the cats by the amount given to each cat. Since each cat received 1/5 of a bottle, we can divide the total medicine (2/5 of a bottle) by 1/5 to find the number of cats. This can be done by multiplying the total medicine by the reciprocal of 1/5, which is 5/1.

Therefore, there were 2 sick cats.

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Answer:

Step-by-step explanation:

Triple 15 = p

Answer:

Line B will become line A and Line A will become line B.

Step-by-step explanation:

Answer:

L ∪ (M ∩ N) = {0, 10, 20, 40, 80, 100}

Step-by-step explanation:

L ∪ (M ∩ N) means "take what's common of set M and set N" and then "add it to all the elements of set L".

So, what are the common elements of set M and set N?

They are 10 & 20. So,

M ∩ N = {10,20}

Now, we add it to all the elements of set L. Note that we don't need to count 20 twice.

Thus L ∪ (M ∩ N) = {0, 10, 20, 40, 80, 100}

You can use the pythagorean theorem to find the side lengths. One is a straight line and it's 7 units. I'll attach a picture of what this looks like, but the side lengths of the other ones are √37 and √72. Add these up to get the perimeter → 21.568 or 21.6 units.

The correct answer is: Triangle MNO

A reflection of a triangle over the X-axis involves flipping the triangle about this axis. Each point in triangle ABC (A, B, and C) is reflected to a corresponding point A', B', and C' in the reflected triangle such that their Y-coordinates are negated while the X-coordinates remain the same.

To understand the concept of the reflection of a triangle, you need to visualize flipping the triangle over a line, in this case, the X-axis. When a triangle named ABC is reflected over the X-axis, the positions of the points change as follows: A (x, y) becomes A' (x,-y), B (x, y) becomes B' (x, -y), and C (x, y) becomes C' (x, -y). Therefore, the triangle that is a reflection of triangle ABC over the X-axis is triangle A'B'C'.

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Answer:

The Second Option is your Answer ( Option 2)

Step-by-step explanation:

1) proof ( replace h with -2)

|-2-2| = 4

|-4| = 4

2) proof ( replace h with 6)

|6-2| = 4

|4|=4

Hopes this helps !

Answer:

[tex]h = -2\\h = 6[/tex]

Step-by-step explanation:

The absolute value is a function that transforms any value x into a positive number.

Therefore, for the function [tex]f(x) = |x|[/tex]  x> 0 for all real numbers.

Then the equation:

[tex]|h-2| = 4[/tex] has two cases

[tex](h-2) = 4[/tex]    if [tex]h > 2[/tex]  (i)

[tex]-(h-2) = 4[/tex]    if [tex]h < 2[/tex] (ii)

We solve the case (i)

[tex]h = 4 + 2\\h = 6[/tex]

We solve the case (ii)

[tex]-h +2 = 4\\h = 2-4\\h = -2[/tex]

Then the solution is:

[tex]h = -2[/tex] or [tex]h = 6[/tex]

Answer:

5.7 times

Step-by-step explanation:

Answer:

you multiply all three of these numbers to get an answer of 450

Step-by-step explanation:

Final answer:

The volume of the shoe box is calculated using the formula for the volume of a rectangular prism, resulting in a total of 450 cubic inches.

Explanation:

The formula for finding the volume of a rectangular prism (which is the shape of a shoe box) is Volume = Length × Width × Height. However, before calculating, we need to ensure all dimensions are in the same unit. Since the given width is in mixed number form, we will convert 6 2/3 inches to an improper fraction which is 20/3 inches. We then multiply the length, width, and height.

Volume = (13.5 inches) × (20/3 inches) × (5 inches)
Volume = (13.5 × 20/3 × 5) cubic inches
Volume = (270/3 × 5) cubic inches
Volume = (90 × 5) cubic inches
Volume = 450 cubic inches

The shoe box's volume is 450 cubic inches.

Answer: 41

Step-by-step explanation:

  (1 × 3) + (2 × 4) + (5 × 6)

=     3    +     8     +    30

=           11            +    30

=                   41

Answer:

answer is 41

Step-by-step explanation:

A = sinx - sin3x,  

B = -sin3x + sin5x  

First A:  

The average of x and 3x is 2x, and they (x and 3x, that is) are each a distance of x from this average. That's fancy talk for:  

x = 2x-x,  

3x = 2x+x.  

So, A = sin(2x-x) - sin(2x+x)  

Using angle sum formulas:  

A = (sin2x cosx - cos2x sinx) - (sin2x cosx + cos2x sinx)  

A = -2 cos2x sinx  

Similarly,  

B = -sin(4x-x) + sin(4x+x)  

= -(sin4x cosx - cos4x sinx) + (sin4x cosx + cos4x sinx)  

B = 2 cos4x sinx  

Now,  

sinx - 2sin3x + sin5x = A+B = -2 cos2x sinx + 2 cos4x sinx  

= 2 sinx (cos4x - cos2x).  

Sinx-2sin3x+sin5x=2sinx(cos4x-cos2x)  

sinx - 2sin3x + sin5x = sinx - sin(3x) + sin(5x)- sin(3x)

=  2· cos[(x+3x)/2] · sin[(x-3x)/2] + 2·cos[(5x+3x)/2]· sin[(5x-3x)/2]

= 2· cos(2x) ·sin(-x) + 2· cos(4x) · sin(x)

=  -2·cos(2x)·sinx + 2· cos(4x)·sinx

=  2·sinx · [ cos(4x)- cos(2x)]

[tex]\huge\boxed{\text{Greatest common factor}}[/tex]

The greatest common factor is the greatest number that both [tex]44[/tex] and [tex]12[/tex] are divisible by. In this case, it is [tex]4[/tex]. Each number can then be divided by the greatest common factor using the reverse of the distributive property.

Answer: First option

Step-by-step explanation:

By definition, you know that:

[tex]55\°=\frac{170\°-x}{2}[/tex]

Therefore, to calculate the measure of the missing angle, you must solve for x, as you can see below:

- Multiply both sides of the equation by 2.

- Subtract 170 from both sides of the equation.

- Multiply both sides of the equation by -1

Therefore:

[tex]55\°=\frac{170\°-x}{2}\\\\(2)55\°=\frac{170\°-x}{2}(2)\\\\110\°=170\°-x\\110\°-170\°=170\°-x-170\°\\(-1)-60\°=-x(-1)\\x=60\°[/tex]

Da la answer is 60

Step-by-step explanation:

Gradpoint approved

Answer: You can use this to help you out:

Determine the term life insurance amount per thousand on a 20-year-old male for a 10-year policy given that the face value of the policy is $65,000 and the annual premium is $291.85.

a.

$0.00449

c.

$0.2227

b.

$4.49

d.

$222.72

First find how many thousands on the amount of the face value

You do that by dividing the amount of the face value by 1000

65,000÷1,000=65

So the term life insurance amount per thousand is

291.85÷65=4.49...answer

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Answer:

a.  $1,377.20

Step-by-step explanation:

To determine the annual premium for the policy, you have to divide the face value by 1,000:

$55,000/1,000= $55

Then, you have to multiply this result for the rate found on the table, which according to the information given is $25.04:

$55*$25.04= $1,377.20

The annual premium for the policy is $1,377.20.

4^6= 4096

4^3= 64

4096 • 64= 262144

Answer:

262144

Step-by-step explanation:

4^6 = 4 x 4 x 4 x 4 x 4 x 4

4^3 = 4 x 4 x 4

that ends up being 4^9 if you add them up.

4^9 is 262,144

Answer:

[tex] \frac{.7}{1 - .1} = \frac{.7}{.9} = \frac{7}{9} [/tex]

Answer:

24 outfits

Step-by-step explanation:

Since you have 4 choices of shirts, then 3 choices of shorts, and then 2 choices of shoes, the formula should be set up as 4 x 3 x 2. This gives you 24 outfit options.

Answer: 69%

Step-by-step explanation:

16820x100= 1682000

1682000÷24365=69.033

Answer:

20 miles

Step-by-step explanation:

The formula for distance is

d =rt  where r  is the rate and t is the time

We need to convert the time to hours since the rate is in mph

15 minutes * 1 hour/ 60 minutes = 1/4 hour = .25 hours

d = (80 mph) * .25 hours

d = 20 miles

The train goes 80 miles in an hour which is 60 minutes. 60 minutes divided by 15 minutes equals 4. 80 miles divided by 4 equals 20 miles. The train went 20 miles in 15 minutes.

Anwer:

4b/a=2

Step-by-step explanation:

Lets assume:

a = 4 & b = 2

So a/b would equal 2.

4b/a indicates that you are going to multiply b times 4, meaning that in this scenario you would multiply 2 times 4.

4(2) = 8

and 8 divided by (4) is 2.

Why 4? Because remember a = 4 (in this scenario).

Other examples:

10/5 = 2, -->  4(5) = 20, -->  20/10 = 2.

20/10 = 2. --> 4(10) = 40, --> 40/20 = 2.

Answer:

2

Step-by-step explanation:

a/b = 2

Invert each side of the equation

b/a = ½

Multiply each side by 4

4b/a = 4 × ½ = 2

Answer:

Step-by-step explanation: 15 + X = 27 Candies

Any Variable Will Work.

Answer:

c + 15 = 27

Step-by-step explanation:

c + 15 = 27

15 is the starting amount.

c is the number of candies her mom put in.

27 is the new total.

To factor out the greatest common factor from 30 and 42, first, find the GCF. The factors of 30 are 1, 2, 3, 5, 6, 10, 15, and 30. The factors of 42 are 1, 2, 3, 6, 7, 14, 21, and 42. The greatest common factor is 6. Using the distributive property, 30 + 42 becomes 6(5 + 7). So, the final answer is 6 times the sum of 5 and 7, which is 72.

To factor out the greatest common factor (GCF) from the expression 30 + 42, we first need to find the GCF of the two numbers, which is 6. Then we can rewrite the expression using the distributive property.

Step 1: Find the GCF of 30 and 42:

The factors of 30 are 1, 2, 3, 5, 6, 10, 15, and 30.

The factors of 42 are 1, 2, 3, 6, 7, 14, 21, and 42.

The common factors are 1, 2, 3, and 6. The greatest common factor is 6.

Step 2: Rewrite the expression using the GCF:

[tex]\[30 + 42 = 6 \times 5 + 6 \times 7\][/tex]

Step 3: Apply the distributive property:

[tex]\[30 + 42 = 6 \times (5 + 7)\][/tex]

Step 4: Perform the addition inside the parentheses:

[tex]\[30 + 42 = 6 \times 12\][/tex]

Step 5: Multiply:

30 + 42 = 72

So,30 + 42 equals 72 after factoring out the greatest common factor using the distributive property.

Answer:

The explanation in the procedure

Step-by-step explanation:

we know that

[tex]1\ ft=12\ in[/tex]

In this problem is correct to use the measurement [tex]8\ ft\ 4\ in[/tex] instead of [tex]7\ ft\ 16\ in[/tex]  

because

[tex]16\ in=12\ in+4\ in=1\ ft+4\ in[/tex]

therefore

[tex]7\ ft\ 16\ in=7\ ft\ +1\ ft+4\ in=8\ ft\ 4\ in[/tex]

Answer:

The correct answer is: descriptive and inferential statistics.

Step-by-step explanation:

The two branches of the study of statistics are generally referred to as descriptive and inferential statistics.

Descriptive statistics are the brief summary statistic which summarizes a given data set, which can be a representation of the entire population or just a sample of it.

While Inferential statistics is the way data analysis is used to deduce the properties of an underlying probability distribution.

The study of statistics generally branches into descriptive statistics, which involves summarizing and displaying data, and inferential statistics, which makes predictions about a population based on sampled data.

The two branches of the study of statistics are generally referred to as descriptive statistics and inferential statistics. Descriptive statistics involves the organization, summarization, and display of data. It seeks to describe a situation or sample population without offering any conclusions or inferences about the data. Examples include calculating averages, measures of central tendency like mean, median, mode, and variability measures such as range, variance, and above all standard deviation.

On the other hand, inferential statistics is a method to make predictions or inferences about a population based on a sample of data. It is used when it is not practical or impossible to examine the entire population. Examples of inferential statistics methods include hypothesis testing, chi-square tests, t-tests, ANOVA, regression analysis etc.

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Answer: second option. (NOTE: If the first option is [tex](-2)^3[/tex], then it would be an equivalent expression too, because:  [tex](-2)(-2)(-2)=-8[/tex])

Step-by-step explanation:

To solve this problem you must keep on mind the following exponents rule:

[tex](\frac{1}{a})^-b=a^b[/tex]

Therfore, you have that:

[tex](-\frac{1}{2})^-3=(-2)^3[/tex]

This means that the number -2 must be multiply by itself three times. Therefore, you obtain the folllowing result:

[tex](-2)(-2)(-2)=-8[/tex]

If the first option is [tex](-2)^3[/tex], then it would be an equivalent expression too, because:

 [tex](-2)(-2)(-2)=-8[/tex]

Answer:

[tex](\frac{-1}{2})^{-3} = -8[/tex].

Step-by-step explanation:

Given :  –8.

To find : Which expression is equivalent.

Solution : We have given  –8.

By the radical rule : [tex](\frac{-1}{x})^{-a} = -x^{a}[/tex].

Then

[tex](\frac{-1}{2})^{-3} = -2^{3}[/tex].

[tex](\frac{-1}{2})^{-3} = -8[/tex].

Therefore,  [tex](\frac{-1}{2})^{-3} = -8[/tex].

Multiplication property of equality. C is your answer

Multiplication property can be used for this equation because to get d by itself you have to MULTIPLY both sides by 10 to get d=122

Hope this helps

SOH CAH TOA

CAH

Cosine = Adjacent / Hypotenuse

∆ABC, where lets say B is the right angle.

cos C = adjacent/hypotenuse = BC/AC

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Answer:

[tex]\large\boxed{y=-\dfrac{2}{3}x+\dfrac{1}{3}}[/tex]

Step-by-step explanation:

The skope-intercept form:

[tex]y=mx+b[/tex]

m - slope

b - y-intercept

The formula of a slope:

[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

We have the points (2, -1) and (5, -3). Substitute:

[tex]m=\dfrac{-3-(-1)}{5-2}=\dfrac{-3+1}{3}=\dfrac{-2}{3}=-\dfrac{2}{3}[/tex]

We have the equation:

[tex]y=-\dfrac{2}{3}x+b[/tex]

Put the coordinates of the point (2 , -1) to the equation:

[tex]-1=-\dfrac{2}{3}(2)+b[/tex]

[tex]-1=-\dfrac{4}{3}+b[/tex]           add 4/3 to both sides

[tex]\dfrac{1}{3}=b\to b=\dfrac{1}{3}[/tex]

Finally we have:

[tex]y=-\dfrac{2}{3}x+\dfrac{1}{3}[/tex]