Ms. Ellis used 25 gallons of gas delivering flowers in her delivery van How many miles did she drive making the deliveries? Explain.​

Step-by-step explanation:

(2×8² - 2²×8)/(2×8)

before we start typing things into the calculator, we see that the fraction can be simplified :

(2×8² - 2²×8)/(2×8) | divide top and bottom by 2

(8² - 2×8)/8 | divide top and bottom by 8

(8 - 2)/1 = 6/1 = 6

Answer:

P(B|A') = 7/15

Step-by-step explanation:

P(B) = 0.2

P(A|B) = 0.3

P(A|B)=P(A and B) / P(B)

0.3=P(A and B) / 0.2

P(A and B)=0.06

P(B') = 1 - P(B) = 1 - 0.2 = 0.8

P(A|B') = 0.8

P(A|B')=P(A and B') / P(B')

0.8 = P(A and B') / 0.8

P(A and B') = 0.64

P(A)=P(A and B) + P(A and B')=0.06+0.64=0.7

P(A')=1-P(A)=1-0.7=0.3

P(A' and B) + P(A and B) = P(B)

P(A' and B) = P(B) - P(A and B)

P(A' and B) = 0.2 - 0.06 = 0.14

P(B|A') = P(A' and B) / P(A')

P(B|A') = 0.14 / 0.3 = 7/15

Answer:

an exterior angle is equal to the sum of the two opposite interior angles.

3y + 11 + 4y = 116

Step-by-step explanation:

First combine like terms 7y + 11 = 116

Then undo addition or subtraction.

Then undo multiplication and division to get the value of y.

The HCF of 560 and 729 is 1.

To find the HCF of 560 and 729, we use the Euclidean algorithm as follows;HCF of 560 and 729:Step 1: Divide the larger number by the smaller number, then find the remainder.729 ÷ 560 = 169 remainder 169Step 2: Divide the smaller number (i.e., 560) by the remainder (i.e., 169).560 ÷ 169 = 3 remainder 53.

Step 3: Divide the remainder from step 1 (i.e., 169) by the remainder from step 2 (i.e., 53).169 ÷ 53 = 3 remainder 10Step 4: Divide the remainder from step 2 (i.e., 53) by the remainder from step 3 (i.e., 10).53 ÷ 10 = 5 remainder 3Step 5: Divide the remainder from step 3 (i.e., 10) by the remainder from step 4 (i.e., 3).10 ÷ 3 = 3 remainder 1.

Step 6: Divide the remainder from step 4 (i.e., 3) by the remainder from step 5 (i.e., 1).3 ÷ 1 = 3 remainder 0The HCF of 560 and 729 is the last non-zero remainder, which is 1.

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Answer:

−12r+32−2r 2

Step-by-step explanation:

(−8−r)(2r−4)

Apply the distributive property by multiplying each term of −8−r by each term of 2r−4.

−16r+32−2r

2

+4r

Combine −16r and 4r to get −12r.

Answer:

R-12

Step-by-step explanation:

Open the parenthesis, then solve

-8-r + 2r-4

-r+2r-8-4

r-12

Your answer will be R-12

If the brain volumes (cm³) of 20 brains have a mean of 1085.2 cm³ and a standard deviation of 125.6 cm³. For such data: it is significantly low for a brain because 1386.4 cm³ is less than the upper limit.

Mean = 1085.2 cm³

Standard deviation = 125.6 cm³

Hence,

Lower limit = Mean - 2 x Standard deviation

Lower limit  =1085.2 - 2 x 125.6

Lower limit =1161.2 - 251.2

Lower limit  =910

Upper Limit = Mean + 2 x Standard deviation

Upper Limit = 1161.2 +  2 x 125.6

Upper Limit =1161.2 +251.2

Upper Limit =1412.4

The limit of values is from 910 to 1412.4.

A value below 910 will be is considered low and a value above 1412.4  will be considered high

Therefore 1386.4 cm³ is less than the upper limit. Thus it is significantly low for a brain.

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Answer:

u equals 504

Step-by-step explanation:

multiply 6 by 84 to get 504

The number of gift basket with 15 favors in each is 24.

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

Given that, Descartes has 6 large boxes with 48 party favors in each box

So, the number of favors =6×48

= 288

5 small boxes with 16 party favors in each box

So, the number of favors =5×16

= 80

Total number of favors =288+80

= 368

He puts 15 favors in each gift basket

Then, number of gift basket

= 368/15

= 24.5

Therefore, number of gift baskets he can make is 24.

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See attachment for math work and answer.

The percent of the front page taken up by the prom story is 20%

From the question, we have the following parameters that can be used in our computation:

The front page

From the front page, we have

Area front page = 5 * 4

Area front page = 20

Also, we have

Prom = 2 * 2

Prom = 4

So, we have

Percentage = 4/20 * 100%

Evaluate

Percentage = 20%

Hence, the percent of the front page taken up by the prom story is 20%

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Answer:

760,000

Step-by-step explanation:

759,993

we round 993 up to 1,000

\(\begin{array}{llll} \textit{Logarithm Cancellation Rules} \\\\ \stackrel{ \textit{we'll use this one} }{log_a a^x = x}\qquad \qquad a^{log_a (x)}=x \end{array} \\\\[-0.35em] ~\dotfill\\\\ \log_2\left( \cfrac{1}{16} \right)+4\implies \log_2\left( \cfrac{1}{2^4} \right)+4\implies \log_2(2^{-4})+4\implies -4+4\implies \text{\LARGE 0}\)

\(\rule{34em}{0.25pt}\\\\ \textit{exponential form of a logarithm} \\\\ \log_a(b)=y \qquad \implies \qquad a^y= b\qquad\qquad \\\\[-0.35em] ~\dotfill\\\\ \log_2\left( \cfrac{1}{16} \right)=y\implies 2^y=\cfrac{1}{16}\implies 2^y=2^{-4}\implies y=-4\)

The implicit derivative is given as follows:

dx/dt(x = 4)  = 1/12.

The function in this problem is given as follows:

y = 3x² + 1.

The implicit derivative, relative to the variable t, is given as follows:

dy/dt = 6x dx/dt.

(the derivative of the constant 1 is of zero).

The parameters for this problem are given as follows:

x = 4, dy/dt = 2.

Hence the derivative is obtained as follows:

2 = 6(4) dx/dt

dx/dt = 2/24

dx/dt = 1/12.

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The correct answer is C), because it is possible to create an economic model describing the relationship between fertilizer usage and yield.

The economic model would take into account the nonlinear relationship, which is shown in the graph. Specifically, the slope of the curve between one and two tons of fertilizer is approximately 2 (change in yield divided by change in fertilizer usage). This means that for every ton of fertilizer used, the yield increases by two (change in yield / change in fertilizer usage = 2). Although using more than three tons of fertilizer has minimal effect on yield, the economic model would still take this into account and provide a more accurate representation of the relationship between the two variables.

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Answer:

2^4*2^5=2^(4+5)=2^9

Step-by-step explanation:

When dealing with operations with exponents and multiplication, the exponent operations always come first.  So while the exponent 9 is correct for the answer, 4 is incorrect.

For example, if you were to solve each operation and eliminate every exponent, you would have

2^4*2^5=16*32=512 which is the same as 2^9=512.

As you can see, the exponent operation must come before the multiplication.

1. Area of a circle is pi x R^2

Area = 3.14 x 18^2

Area = 3.14 x 324= 1017.36 sq. In.

The blade covers 122 out of 360 degrees.

1017.36 x 122/360 = 345 square inches.

2.

Like above.

Area =3.14 x 75^2 = 17,662.5 square feet

17662.5 x 80/360 = 3,925 square feet.

Answer:

Heptagon = 84 ft²

Octagon  = 186 yd²

Triangle = 48√3 m²

Step-by-step explanation:

\(\textsf{area of a regular polygon}=\dfrac12ap\)

where:

Heptagon

a = 5.0 ft

p = 33.6 ft

⇒ area = 1/2 x 5.0 x 33.6 = 84 ft²

Octagon

a = 7.5 yd

p = 8 x 6.2 = 49.6 yd

⇒ area = 1/2 x 7.5 x 49.6 = 186 yd²

Triangle

Formula for the apothem of an equilateral triangle :

\(a=\dfrac{s}{2\sqrt{3}}\)  where \(s\) = side length

a = 4, so:

\(4=\dfrac{s}{2\sqrt{3}}\)

\(\implies 8\sqrt{3}=s\)

Now we know the side length, we can calculate the perimeter (p):

p = 3 x 8√3 = 24√3

⇒ area = 1/2 x 4 x 24√3 = 48√3 m²

The sequence that shows the numbers in order from least to greatest is D. 2.14 < 2.8 < 3.16227766017.

The sequence that shows the numbers in order from least to greatest is D. 2.14 < 2.8 < 3.16227766017.What is the meaning of the inequality symbols?The inequality symbols are mathematical symbols that are used to compare two values.

They indicate the relationship between two values that are not equal to each other. Here are the inequality symbols:

< (less than)≤ (less than or equal to)> (greater than)≥ (greater than or equal to)What is the meaning of the sequence?

A sequence is a set of numbers arranged in a particular order. The order of the numbers in a sequence can be from smallest to largest or largest to smallest.

The sequence D. 2.14 < 2.8 < 3.16227766017 is arranged from smallest to largest because the first number in the sequence, 2.14, is the smallest, and the last number in the sequence, 3.16227766017, is the largest.

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Answer: A.$109.12

Step-by-step explanation:

The area of the cross section for the given cube is 9 sq, in.

Using the area of the cross-section formula for various shapes and figures, the area of the cross-section may be determined. You will be provided information in the question that will allow you to calculate the area of the cross-section of the given shape, such as its length, height, radius, or diameter. You must carefully use several cross-sectional area calculations depending on the shape specified in the questions.

From the figure we observe that the cross - section of the figure is a square.

The area of the square is given as:

A = (s)(s)

Substituting the value of s = 3 in we have:

A = (3)(3)

A = 9 sq. in.

Hence, the area of the cross section for the given cube is 9 sq, in.

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Answer: CAN SOMEONE PLZ ANSWER TFF QUSTION PLZ!!

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Answer:

x = 3/2 or x = -1

Step-by-step explanation:

2x² - x - 3 = 0

2*(-3) = -6

Factors of -6:

(-1, 6), (1, -6), (-2, 3), (2, -3)

We need to find a pair that adds up to the co-eff of x which is (-1)

Factors :(2,-3)

2 - 3 = -1

so, 2x² - x - 3 = 0 can be written as:

2x² + 2x - 3x - 3 = 0

⇒ 2x(x + 1) -3(x + 1) = 0

⇒ (2x - 3)(x + 1) = 0

⇒ 2x - 3 = 0 or

x + 1 = 0

⇒ 2x = 3 or x = -1

⇒ x = 3/2 or x = -1

Answer:

D. f(x)= (x+2i) (x+3i) (x-2i) (x-3i)

Step-by-step explanation:

Correct on edge 2020

The polynomial with a leading coefficient of 1 and roots 2i and 3i with multiplicity 1 is

f(x) = (x – 2i)(x - 3i)

Option A is the correct answer.

Polynomial is an equation written as the sum of terms of the form kx^n.

where k and n are positive integers.

We have,

f(x) = (x - 2i)(x - 3i)

It has two roots of 2i and 3i with multiplicity 1.

x² - 3ix - 2ix - 6

x² - 5ix - 6

The leading coefficient is 1.

Thus,

f(x) = (x – 2i)(x - 3i) has a leading coefficient of 1 and roots 2i and 3i with multiplicity 1.

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Answer:

C. There might be some outliers because the kurtosis of the distribution equals 100.

Step-by-step explanation:

Kurtosis is about the tail of the distribution. High kurtosis means that the data is heavily in the tails or outliers. The kurtosis of the distribution is 100 means there are outliers and the data lies in the tails. The skewness of the data set is determined by the outliers.

Answer:

Day 1: 25, Day 2: 16, Day 3: 64

Step-by-step explanation:

First you need to form an equation using unknowns, below i have used x to represent the number of calls

Day 1: x+9

Day 2: x

Day 3: 4x

105-9 (as day 1 is x+9) = 96

4 + 1 + 1 = 6 (6x)

96/6 = 16

x = 16, so Day 2 = 16

16 + 9 = 25

16 x 4 = 64

To check, 16 + 25 + 64 = 105

Hope this helps :D

Answer:

41.6 km/h

Step-by-step explanation:

Nao drives 95mi/2.5hr or 38 miles per hour, or 60.8 km/h

1 hr 15 min is the same as 1.25 hours

Arban drives 128km/1.25hr or 102.4 km/h

The difference is 102.4-60.8 = 41.6

Answer:

cats constitute the same fraction of animals adopted as not adopted

(i am actually not that sure)

Answer:

a

Step-by-step explanation:

as mamy cats as dogs are addopted

Answer:

x=-15/2

Step-by-step explanation:

Answer:

what we have to find or to prove.