In April, Phillipa rode 13 . 5 + 8 . 7 + 11 . 1 miles on her bicycle. In March, she rode ( 13 . 5 + 8 . 7 + 11 . 1 ) ÷ 2 miles, and in May, she rode 4 × ( 13 . 5 + 8 . 7 + 11 . 1 ) miles. Determine the month when she rode the most and the month when she rode the least. How many times farther did she ride in the month when she rode the most than in the month when she rode the least?

Answer:

7 (2 + x ) ( 2 − x )

The factored form of the given binomial is 7(x+2)(2-x)

A factor is a number that divides another number, leaving no remainder.

Given is a binomial, we are asked to factorize it,

28 - 7x²

7(4) - 7(x²)

= 7(4-x²)

= 7(x+2)(2-x)  {∵ a² - b² = (a+b)(a-b)}

Hence, the factored form of the given binomial is 7(x+2)(2-x)

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Bar chart associated with the question is attached below

Answer:

Range of digital is 800

CDs have a higher mean than digital

Digital's mean is around 467.

Both have the same interquartile range

Step-by-step explanation:

CDs have a mean higher than digital

Range of digital is 800 (900 - 100 = 800)

Both have the same interquartile range

(Q3 - Q1)

DIGITAL :

(900+700+500+300+300+100)

700 - 300= 400

CDs:

(1000+800+800+600+400+200)

800 - 400= 400

Digital mean :

(900+700+500+300+300+100) / 6

2800/6 = 466.67 = 467

CD mean :

(1000+800+800+600+400+200) /6

=633.333

Median of CD:

1000+800+800+600+400+200

(800+600)/ 2 = 700

Median of Digital :

(500+300)/2 = 400

Answer:

A: CDs have a higher mean than digital.

B: The range of digital is 800.

D: Both have the same interquartile range.

F: Digital’s mean is around 467.

Step-by-step explanation:

edg2020

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Explanation:

Focus on the slanted side of the parallelogram, which is 26 units long. The opposite side to this is also 26 units long since opposite sides of any parallelogram are always congruent.

Now turn your attention to the triangle formed by that dashed line. Specifically this is a right triangle. It has a legs of x and 10, where x is the unknown height (also the height of the parallelogram). The hypotenuse of this right triangle is 26 units as mentioned in the previous paragraph.

Use the pythagorean theorem to find x

a^2+b^2 = c^2

10^2+x^2 = 26^2

100+x^2 = 676

x^2 = 676-100

x^2 = 576

x = sqrt(576)

x = 24

This is a 10,24,26 right triangle, which is based on the 5,12,13 right triangle (divide every part by 2)

-------------------

Now that we know the height of the parallelogram, the area is simply base times height

area of parallelogram = base*height = 32*24 = 768

Then we subtract off the area of the shaded gray rectangle, so we subtract off 7*16 = 112 to get 768 - 112 = 656 and this is the area of the unshaded region inside the parallelogram.

-------------------

Side note: The hypotenuse of 10*sqrt(2) you wrote down would only be correct if that dashed height line was 10 units.

Answer:

C /2pi  = r

Step-by-step explanation:

The circumference of a circle is given by

C = 2 * pi*r

We want to solve for r

Divide each side by 2 pi

C / 2pi = 2*pi*r / 2pi

C /2pi  = r

Answer:

1

Step-by-step explanation:

Answer:

t = 14

Step-by-step explanation:

log (7t + 2) = 2

Raise each side to the power of 10

10 ^log (7t + 2) =10^ 2

7t+2 = 100

Subtract 2 from each side

7t+2-2 = 100-2

7t = 98

Divide each side by 7

7t/7 = 98/7

t = 14

Answer:

[tex]t=14[/tex]

Step-by-step explanation:

We begin with the equation: [tex]log(7t+2)=2[/tex]

The first thing we must do is remove the log. In this case, the base of this log is 10, which means that we must have each side of this equation have a base of 10.

This gives us

[tex]10^{log(7t+2)} =10^2[/tex]

The base 10 and the log will cancel out to give us

[tex]7t+2=100[/tex]

Then we can solve for t

[tex]7t+2=100\\\\7t=98\\\\t=\frac{98}{7} \\\\t=14[/tex]

Answer:

is the longest side in a triangle

Step-by-step explanation:

is the longest side in a triangle

Answer:

It is the longest side of a right triangle.

Step-by-step explanation:

A right triangle has two legs, then the (i call it a slope) hypotenuse connects the two from the top of one of leg to the end of the bottom leg.

you can calculate the hypotenuse via the Pythagorean theorem. which is A^2+B^2=C^2

Or: Leg 1^2+ Leg 2^2= Hypotenuse^2

Answer:

3.  AC

4. DC

Step-by-step explanation:

3. The largest interior angle and side are opposite each other.

The largest angle is angle B so AC is the longest side

4. The smallest interior angle and side are opposite each other.

The smallest angle is A so DC is the shortest side

Answer:

dc is the correct answer

Step-by-step explanation:

Answer:

11 2/3 yd.

Step-by-step explanation:

\sqrt{\left(12\frac{1}{3}^{2}-4^{2}\right)} = 35/3

35/3=11 2/3

Answer:

11.666

round up to 11.7

Step-by-step explanation:

(hypotenuse)^2 -(leg b)^2

√(12.333)^2-(4)^2

√(152.11-16)

√(136.11)

Answer:

k = 3.

Step-by-step explanation:

By the Factor Theorem. if x+a is a factor of f(x)  then f(-a) = 0.

Here we use f(-1):

f(-1) = (-1)^3 + 2(-1) + k = 0

-1 - 2 + k = 0

k = 3.

Answer:

182,427.03

Step-by-step explanation:

total cost =    r*p*n

                   ---------------

                     1- (1+r) ^-n

Where r is the loan rate, p is the principal, n is the number of payments

rate = 4.04% / 12 months

total cost = (.0404/12)* 125000* 240

                    ------------------------------

                     1- (1+.0404/12)^-240

101000

-----------------

1-.44635

101000

-----------------

.55364

182,427.03

Using Payments are 730 *240 months

730*240 =175200

Answer:

Im pretty sure there isnt a way to be able to watch it for free, but good luck!

Step-by-step explanation:

Answer:

i cant give you the link, but it's on for free at animelabs.

Step-by-step explanation:

How is this math?

Answer:

5 is the answer I hope it helps

Answer:

Step-by-step explanation:

TRUE angles are linear pairs

Step-by-step explanation:

hope this is correct and it helps

Answer:

[tex]3x^{2} -3x-6[/tex]

Step-by-step explanation:

Answer:

he would have to use 19.5 cups of sugar.

Step-by-step explanation:

Answer:

17. 600 18. C.relative

Step-by-step explanation:

17. 900/3=300, but because she uses 2 tires at the same time you have to multiply it by 2

18. there is no actual coordinate so it wouldn't be absolute, and combination isn't a thing

Answer:

3/10 of the total distance to her grandmother's house was traveled on Sunday

Step-by-step explanation:

Carly's family traveled distance of Saturday = [tex]\frac{3}{10}[/tex]

Remaining distance =[tex]1-\frac{3}{10}=\frac{7}{10}[/tex]

They traveled 3/7 of the remaining distance on Sunday.

So, Distance traveled on Sunday =[tex]\frac{3}{7}(\frac{7}{10})[/tex]

Distance traveled on Sunday =[tex]\frac{3}{10}[/tex]

Fraction of the total distance to her grandmother's house was traveled on Sunday =[tex]\frac{3}{10}[/tex]

Hence 3/10 of the total distance to her grandmother's house was traveled on Sunday

Answer:

Hello and welcome to Brainly!  Thank you for posting your first question! I hope you enjoy your time here on Brainly!

The awnser to your question is. The required inequality is 6+4p>17

Step-by-step explanation:

Let p represent the number of runs per inning.

It is given that the team scores the same number of runs per inning and the other team did not score any more points. So, the total score of other team after last four inning is 17.

Kim's team total score in last four inning is 4p. So, the total score of Kim's team after last four inning is

Kim's team win if the total score of other team after last four inning is less than the Kim's team.

Hope this helped!!

Answer:

1/20

Step-by-step explanation:

25 prizes out of 500=25/500=1/20

Answer:

2/3

Step-by-step explanation:

start at the first point and count up and then over. it is 2 squares UP, and 3 squares OVER. remember rise over run, rise (2) on top and run (3) on bottom!

Answer:

M = [tex]\frac{2}{3}[/tex]

Step-by-step explanation:

The two coordinate points given are (2,2) and (-1,0).

We can use the slope formula to find the slope.

[tex]Slope(m)=\frac{y2-y1}{x2-x1}[/tex]

[tex]m=\frac{0-2}{-1-2}[/tex]

[tex]m=\frac{-2}{-3} or \frac{2}3}[/tex]

See the attached picture.

The answer is c. 17,050 batteries

The number of expected batteries to last between 3 years and one month and 3 years and seven months is 17,050 batteries.

Option C is the correct answer.

A z-score also called a standard score is a measure of how many standard deviations a data point is away from the given mean of a distribution.

It measures the unusual or extreme a particular data point is compared to the rest of the distribution

We have,

First, we need to standardize the range of shelf life between three years and one month (3.08 years) and three years and seven months (3.58 years) using the formula:

z = (x - μ) / σ

where x is the shelf life in years, μ is the mean shelf life in years, and σ is the standard deviation in years.

Now,

For the lower bound:

z = (3.08 - 3.33) / 0.25

z = -1.00

For the upper bound:

z = (3.58 - 3.33) / 0.25

z = 1.00

Now,

We use a standard normal distribution table or calculator to find the area under the curve between z = -1.00 and z = 1.00, which represents the proportion of batteries that can be expected to last between three years and one month and three years and seven months.

This area is approximately 0.6826.

Finally,
We multiply this proportion by the total number of batteries in the production run to find the expected number of batteries that meet the criteria.

expected number = proportion x total number

expected number = 0.6826 * 25,000

expected number ≈ 17,065

Therefore,

The number of expected batteries is 17,050 batteries.

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Answer:72 minutes

Step-by-step explanation:

30/25=  1.2 * 60= 72

Answer:

7.5 ?

Step-by-step explanation:

Answer:

7.5

Step-by-step explanation:

We are given information that the two triangles are similar and we want to work out the length of "t" . Since these 2 triangles are similar, it means that a scale factor is used to enlarge the sides, we can work out the scale by dividing QP by LJ and RP by KJ so,

QP ÷ JK = 25 ÷ 5 = 5

RP ÷ JL = 22.5 ÷ 4.5 = 5

So we can see the scale factor is 5, now all we need to do is multiply the scale factor by 1.5 to find the value of t

1.5 × 5 = 7.5

The value of t is 7.5

Answer:

V = 602.88 cm cubed

We have been given that side length of pyramid the square base is 12 cm and its slant height is 10 cm. We are asked to find the height of the pyramid.

We will use slant height of a pyramid formula to solve our given problem.

[tex]s=\sqrt{h^2+\frac{1}{4}a^2}[/tex],where,

s = Slant height,

h = Height,

a = Each side of square base.

Upon substituting our given values in above formula, we will get:

[tex]10=\sqrt{h^2+\frac{1}{4}\cdot 12^2}[/tex]

[tex]10=\sqrt{h^2+\frac{1}{4}\cdot 144}[/tex]

[tex]10=\sqrt{h^2+36}[/tex]

Switch sides:

[tex]\sqrt{h^2+36}=10[/tex]

Let us square both sides:

[tex](\sqrt{h^2+36})^2=10^2[/tex]

[tex]h^2+36=100[/tex]

[tex]h^2+36-36=100-36[/tex]

[tex]h^2=64[/tex]

Now we will take positive square root of both sides.

[tex]\sqrt{h^2}=\sqrt{64}[/tex]

[tex]h=8[/tex]

Therefore, the height of the pyramid is 8 cm and option 'b' is the correct choice.

Answer:

t = 4

Step-by-step explanation:

Substitute the variables with the information provided.

205 = 100 + 12(6) + 5(t) + 7(4) + 5(5) - 8(5)

Simplify

205 = 100 + 72 + 5t + 28 + 25 - 40

20 = 5t

t = 4

Answer:

An apportionment is the allocation of a loss between all of the insurance companies that insure a piece of property. This allocation is used to determine a percentage of liability for each insurer.

I'm new here! Sorry if this didn't help