Given the following arithmetic sequence find the formula.

3a) Rounded to the closest benchmark, Samuel walked about 3 Miles on the parade route.

3b)  Rounded to the closest benchmark, Samuel walked about 2 Miles home

3c) Samuel walked about 5 Miles in all

We know that when rounding a fraction to the closest benchmark:

1) if the numerator is much smaller than the denominator, round a fraction to 0

2) if the numerator  is about half the denominator, round a fraction to 1/2

3) if the numerator is nearly equal to the denominator, round a fraction to 1

Samuel walked 3 1/8 miles along the parade route.

Rounding to the closest benchmark a fraction 3 1/8 woule be

3 1/8

= 3            

This means, he walked about 3 Miles on the parade route.

Samuel walked 2 5/6 miles home.

Rounding to the closest benchmark a mixed fraction 2 5/6 woule be

2 5/6

= 2            

This means, he walked about 2 Miles homes.

The total distance would be,

d = 3 + 2

d = 5 miles

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7 + 3x is not a factor of expression 3x^3 + 7x

Consider given expression  3x^3 + 7x

Let f(x) = 3x^3 + 7x

Assume that  7 + 3x is a factor of 3x^3 + 7x

This means,  7 + 3x = 0 would be the root.

x = -7/3

If x = -7/3 is root of polynomial f(x) = 3x^3 + 7x then f(-7/3) must be equal to 0

We find the value of given polynomial for x = -7/3

f(x) = 3x^3 + 7x

f(-7/3) = 3(-7 / 3)^3 + 7 (-7 / 3)

f(-7/3) = (3 × (-343)) / 27 + (-49 / 3)

f(-7/3) =  [(-343) - 147] / 9

f(-7/3) = -490 / 9

f(-7/3) ≠ 0

Since f(-7/3) ≠ 0, x = -7/3 is not root of polynomial  f(x) = 3x^3 + 7x

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Answer:

Step-by-step explanation:

A unit rate means a rate for one of something. You should write it as a ratio with a denominator of one.

For example, if you ran 70 yards in 10 seconds, you ran on average 7 yards in 1 second. Both of the ratios, 70 yards in 10 seconds and 7 yards in 1 second, are rates, but the 7 yards in 1 second is a unit rate

IT's  0.80 per serving i think

The number of pecans in each bucket will be 20 and 35.

From the information, there are 55 pecans are put in 2 buckets where one has 15 more than the other. An expression show the relationship between the variables.

In this case, 55 pecans put them in 2 buckets where one has 15 more than the other.

This will be:

x + x + 15 = 55

2x + 15 = 55.

Collect the like terms

2x = 55 - 15

2x = 40

Divide

x = 20

The other number will be:

x + 15.

= 20 + 15

= 35

The numbers are 20 and 35.

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55 pecans are put in 2 buckets where one has 15 more than the other. What is the amount in each bucket.

The required expression that has the coefficient 4 is 4x⁵. Option B is correct.

The expression is the relationship between variables and represented as y = ax + b is an example of a polynomial expression.

here,
Since the question seems to be incomplete,
A standard question can be given as,
Among the following option find the expression that has a coefficient of 4.
(a) 2x + 1
(b) 4x⁵
(c) ax⁶
(d) 7x²

Since the coefficient is the value present at the prefix of the variable term,
So the variable term that holds the coefficient 4 is 4x⁵.

Thus, the required expression is 4x⁵. Option B is correct.

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Answer:

C = 12.6 (rounded to the nearest tenth)

Step-by-step explanation:

The formula for the circumference of a circle is C = 2πr

R = radius

The radius is the half of a diameter, so 4/2 is 2.

C = 2π(2)

C = 12.56637061

Answer:

it would be clustered because the scores are all close together :)

It would be clustered because the scores are all close together.

We have given that,

The list shows the score of each game completed at a bowling alley during a one-hour period.

90, 96, 120, 124, 130, 135, 138, 140, 145, 148, 290, 290.

Grouping similar objects into common groups, also known as clustering, is an important problem of unsupervised machine learning.

We have to determine the data graphed on a horizontal number line appear to be clustered or skewed.

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Using the mean value theorem, the least possible value of f(3) is - 2

The mean value theorem states that for a function f(x) on the interval (a, b), there exists a value c such that

f'(c) = f(b) - f(a)/(b - a)

Since ƒ(−1) = 10 and ƒ'(x) ≥−3 for all values of x, we require the least possible value of f(3).

Using the mean value theorem where

We choose f'(c) = 3 since f'(x) = 3 is the minimum value of f'(x).

So, substituting the values of the variables into the equation, we have that

f'(c) = f(b) - f(a)/(b - a)

f'(x) = f(3) - f(-1)/(3 - (-1))

f'(x) = f(3) - f(-1)/(3 + 1)

f'(x) = f(3) - f(-1)/4

So, making f(3) subject of the formula, we have that

f(3) = f(-1) + 4f'(x)

Since

Substituting the values of the variables into the equation, we have that

f(3) = f(-1) + 4f'(x)

f(3) = 10 + 4(-3)

f(3) = 10 - 12

f(3) = - 2

So, the least possible value is - 2

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Answer:

f(x) = -3x - 21

Step-by-step explanation:

Graphed this equation and it passes through (-6, -3), also known as Point A.

The time duration for the population to exceed 10,000 is approximately 6.6 hours

What is time ?

In mathematics, time is described as a continuing and continuous series of events that take place in chronological order from the past through the present and into the future. The duration of events, the gaps between them, or even the sequencing of occurrences can all be quantified, measured, or compared using time.

the time frame that an activity, process, or state lasts or continues to exist: duration is a non-spatial continuum that is measured in terms of subsequent occurrences from the past, present, and future.

The mathematical symbol used to represent the multiplication process and its subsequent product is the multiplication sign, sometimes referred to as the times sign or the dimension sign.

t = The time duration in hours

The initial population of the cells = 1,000

Therefore, at t = 0, P(0) = 1,000 = P₀ × 1.42^0

∴  P(0) = 1,000 = P₀ × 1 = P₀

P₀ = 1,000

When the population is 10,000, we have;

P(t) = 10,000 = 1,000 × 1.42^t

∴ 1.42^t = 10,000/1,000 = 10

㏒(1.42^t) = ㏒(10) = 1

∴ t × ㏒(1.42) = 1

t = 1/㏒(1.42) = 6.56649071898

∴ The time duration for the population to exceed 10,000, t ≈ 6.6 hours.

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Answer:

15,219.90

Step-by-step explanation:

.88 rounded to the nearest tenth would be 90. 8 is closer to 10 than 0 therfore you round up to .90

Answer:

37.8 yd^3

Step-by-step explanation:

base area = (4.5 x 2.8)/2 = 6.3 yd^2

Volume = 6.3 x 6 = 37.8 yd^3

Answer:

13+5+7+5+5

Its because if you calculate it mean and media. will be 7 and obviously mode is 5

Hope you're helped!

Answer:

See attachment for histogram

The histogram is left skewed

Step-by-step explanation:

Given

[tex]40, 47, 37, 42, 46, 31, 50, 41, 17[/tex]

[tex]43, 46, 45, 21, 43, 45, 23, 49, 50[/tex]

[tex]48, 26, 42, 46, 35, 52, 27, 51, 31[/tex]

[tex]44, 35, 27, 46, 39, 33, 50, 45, 50[/tex]

Solving (a): Construct a histogram

First, we construct a frequency table

Calculate Range

[tex]Range = Highest - Least[/tex]

[tex]Range = 52 - 17[/tex]

[tex]Range = 35[/tex]

Using a class width of 5, we have the following classes:

[tex]17 - 22; 23 - 28; 29 - 34; 35 - 40; 41 - 46; 47 - 52[/tex]

So, the frequency table is:

[tex]\begin{array}{ccccccc}{Class} & {17-22} & {23-28} & {29-34} & {35-40} & {41-46} & {47-52} \ \\ {Count} & {2} & {4} & {3} & {5} & {13} & {9} \ \end{array}[/tex]

See attachment for histogram

From the attached histogram, we can see that the height of the bars of the histogram tend to increase towards the left.

Hence, the shape of the histogram is left skewed

Answer:

the answer us on the attatched documet

Step-by-step explanation:

can u just give me the brainliest

Any polynomial whose coefficients are all equal to zero is said to be a zero polynomial. As a result, the zero polynomial's degree is either undefined or set to -1.

The largest exponential power in a polynomial equation is called the polynomial's degree. Any polynomial's degree is determined only by its variables; coefficients are should be disregarded. The degree of a polynomial is given for an nth degree polynomial function with real coefficients and x as the variable with the largest power n, where n accepts whole integer values:  p (x) = [tex]$$p(x)=a_n x^n+a_{n-1} x^{n-1}+a_{n-2} x^{n-2}+\ldots+a_1 x^1+a_0$$[/tex]  in standard form is given as 'n'.

The largest power of a variable in a polynomial equation is the polynomial's degree. Only terms with variables are taken into consideration when calculating the degree of a polynomial function. The degree of a polynomial is determined by the variable term's maximum exponential power.

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Answer:

Set1 = 1/12

Set2 = 1/12

Set3 = -12

Step-by-step explanation:

Substitute, use Keep-Change-Flip to handle division when there's fractions involved. See image.

Also to multiply fractions, multiply

top×top and bottom×bottom straight across. Also negative times a negative is a positive and negative is like opposite so -(-6) is 6 and -(-1/2) is 1/2.

see image.

1) we need to find the common denominator so we can multiply the denominators with each other.

[tex]\frac{6*4}{10*4}[/tex][tex]+\frac{3*10}{4*10}[/tex][tex]=\frac{24}{40} +\frac{30}{40}[/tex][tex]=\frac{54}{40}=1\frac{14}{40}[/tex]

2) make first fraction into improper fraction

[tex]\frac{20}{12} -\frac{2}{3} =\frac{20}{12} -\frac{2*4}{3*4} =\frac{20}{12} -\frac{8}{12}=\frac{12}{12} =1[/tex]

3) turn into improper fraction[tex]\frac{3}{4}+\frac{12}{5} +\frac{3}{4} =\frac{3*5}{4*5}+\frac{12*4}{5*4} +\frac{3*5}{4*5}=\frac{15}{20}+\frac{48}{20}+\frac{15}{20}=\frac{78}{20}[/tex]

4) turn into improper fraction

[tex]\frac{38}{8} +\frac{14}{5} =\frac{38*5}{8*5} +\frac{14*8}{5*8}=\frac{190}{40} + \frac{112}{40}=\frac{302}{40}[/tex]

then we minus 2 3/4

[tex]\frac{302}{40} - \frac{11}{4} = \frac{302}{40} - \frac{11*10}{4*10}=\frac{302}{40} - \frac{110}{40}=\frac{192}{40}[/tex]

5) 7/3= 2.33333333333 or [tex]2 \frac{1}{3}[/tex]

Answer:

2 2/5

Step-by-step explanation:

Answer: 14

Step-by-step explanation: 3 x 4 = 12, 12 - 2 =10, so, the bottom line is 10, and the cd line is slightly longer than the bottom one, thus, the answer is 14.

Answer:

Okie the correct answer is 5

Step-by-step explanation:

I just took the test for that and I had the same answers.

I hope that helps

Answer:

10

Step-by-step explanation:

Formula:

[tex]\frac{a+b}{2}*h\\\frac{3.4+b}{2}*6.7=44.89\\3.4+b=13.4\\b=10[/tex]

Answer:

b = 10

Step-by-step explanation:

[tex]A=\frac{a+b}{2}h[/tex]

[tex]44.89=\frac{3.4+b}{2} 6.7[/tex]

[tex]6.7=\frac{3.7+b}{2}[/tex]       divided both sides by 6.7

[tex]13.4=3.7+b[/tex]     multiplied both sides by 2

b = 10

Answer:

Click the link?

Step-by-step explanation:

Answer:

so well go to the guide and check the q. Then either create an doc or slide when done click file then download then pdf. k. then click add file then add the pdf file.

Step-by-step explanation:

Answer:

The greatest common factor is 3.

Step-by-step explanation:

If you decompose 9 you will get 3*3 so 9=3*3

If you decompose 12 you will get 2*6,then you can decompose 6 which 2*3 so 12=2*2*3

If you decompose 6 you will get 2*3 so 6=2*3

What do all of these numbers have in common?The 3.

So 3 is the greatest common factor.Now you just put the 3 in front and then open the bracket and divide each of the number by 3.

9/3=3

-12x/3=4x

6y/3=23

So,this will be your answer 3(3-4x+2y)

Answer:

3/4

Step-by-step explanation:

brainliest please

Answer:

(x so long as x is less than or equal to .7 and x is grater than 0.) I think, The number line is hard to interpret. if it's asking where the line stops then it is 7/10. but the answer in parentheses makes the most sense to me.

Step-by-step explanation:

                                                         Good Luck

                                                      Have a nice day

Answer:

52°

Hope this helps!

Answer:

ur answer is A

Step-by-step explanation:

I just did the problem