In 1 week of training for the San Francisco Marathon, Jessy Bergeman had training runs of 3.3 miles, 7.7 miles, 5.9 miles, 16.1 miles, and 5.4 miles. What was the total distance (in miles) for these
training runs?
mi
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Answer:

a) -3/13

b) -1/8

Step-by-step explanation:

a)  - (21 / 7) / (91 / 7) = 3/13

b) (32 / 32 ) / - (256 / 32) = -1/8​

Answer:

2000000

Step-by-step explanation:

20 x 100,000

Answer:

2000000 or 2×10^6

Step-by-step explanation:

\(20\times 10^5\\\\10^5=100000\\\\=20\times \:100000\\\\=2000000\\or \\2\times 10^6\)

The total area from the graph is 2.737.

Area is the amount of space occupied by a two-dimensional figure. In other words, it is the quantity that measures the number of unit squares that cover the surface of a closed figure. The standard unit of area is square units which is generally represented as square inches, square feet, etc.

First of all, lets calculate the points of intersection (P, Q, R)

x²+3=(x+2) +5

x²-2=√(x+2)

x⁴+4-4x²=x+2

x⁴-4x²-x+2=0

(x-2)(x³+2x²-1)=0

(x-2)(x+1)(x²+x-1)=0

x=2, -1, -1±√(1+4)/2

Clearly, the x-coordinate of Q is -1, P is -1-√5/2, R is -1+√5/2, S is 2

So the limit of integration will be

P( (-1-√5)/2, (-1-√5/2)² +3)=P((-1-√5)/2, (3+√5/2))

Q(-1, (-1)²+3)=Q(-1, 4)

Area A:

\(\int\limits^\frac{3+\sqrt{5} }{2} _4 {-\sqrt{-y-3}-((y-5)^2 -2)} \, dx\)

= \([\frac{-(y-3)^\frac{3}{2} }{\frac{3}{2} }-\frac{(y-5)^3}{3}+3y]^{\frac{3+\sqrt{5} }{2} }_4\)

= 2.07

Area B:

\(\int\limits^\frac{-1+\sqrt{5} }{2} _4 {-\sqrt{x+2}+5-(x^2+3)} \, dx\)

= \([\frac{-(x+2)^\frac{3}{2} }{\frac{3}{2} }+5x-\frac{x^3}{3}-3x]^{\frac{-1+\sqrt{5} }{2} }_{-1}\)

= 0.667

Total area = 2.07+0.667

= 2.737

Therefore, the total area from the graph is 2.737.

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Answer:

X = 2 or X = -10

Step-by-step explanation:

We know either3x+12=18or3x+12=−18

3x+12=18(Possibility 1)

3x+12−12=18−12(Subtract 12 from both sides)

3x=6

3x

3

=

6

3

(Divide both sides by 3)

x=2

3x+12=−18(Possibility 2)

3x+12−12=−18−12(Subtract 12 from both sides)

3x=−30

3x

3

=

−30

3

(Divide both sides by 3)

x=−10

Answer:

x=2 or x=−10

Answer:

With approximately a half-ounce of aluminum per can, or 32 cans per pound, that makes each one worth about 1.7 cents. Although there are some people making a living collecting cans in the streets, it isn't a good living.

Follow me please

Mark brainliest

The calculated measure of m∠PNM is 87 degrees

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

The circle

Where, we have

PM = 360 - 64 - 122

Evaluate

PM = 174

Next, we have

m∠PNM = 1/2 * 174

So, we have

m∠PNM = 87

Hence, the measure of m∠PNM is 87 degrees

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Answer:

A

Step-by-step explanation: Hope it HELP

Answer:

A. \(\frac{1}{5} log_3(x) + log_3(y)\)

Step-by-step explanation:

Log rules tell us that multiplication inside a log can be expressed as two summands with the same base.
In other words:

\(\log_c(a*b) =\log_c(a)+\log_c(b)\)

In this case:

\(log_3(\sqrt[5]{x} * y) = log_3(\sqrt[5]{x}) + log_3(y)\)

Using log exponent rules(power can be moved to the front of a log), we get our final answer:

\(\frac{1}{5} log_3(x) + log_3(y)\)

Answer:

Step-by-step explanation:

You want a sequence of transformations that maps ∆ABC to ∆A'B'C' where the vertices are A(-5, 3), B(-2, 3), C(-4, 1), A'(8, -2), B'(5, -2), and C'(7, 0).

Segment AB is a 3-unit line segment directed to the right. Segment A'B' is a 3-unit line segment directed to the left. This means there is no dilation involved in the transformation. At least, the figure has been reflected left-to-right.

Point C is below segment AB, while point C' is above segment A'B'. This means the figure has also been reflected top-to-bottom.

Together these reflections can be accomplished by either of reflection across the origin, or rotation 180° about the origin.

The reflected figure would leave A' at (5, -3). Its location at (8, -2) means the figure has also been translated to the right and up.

Translation to the right has been by 8 -5 = 3 units.

Translation up has been by -2 -(-3) = 1 unit.

Triangle ABC can be transformed to triangle A'B'C' by ...

The corresponding ordered-pair rules for these transformations are ...

__

Additional comment

The single transformation that will accomplish the mapping is ...

  (x, y) ⇒ (3 -x, 1 -y) . . . . . reflection across the point (3/2, 1/2)

We know that 9/20 dogs are spaniels, so 11/20 of the dogs will not be spaniels. That would be your probability in fraction form, but if you need percentage, remember that you can find percentage of something by multiplying the fraction by 100 and evaluating, so \((\frac{11}{20} )*100= 0.55*100= 55\). So, the percentage of dogs that are not spaniels would be 55%.

If you could mark brainliest, that would be much appreciated as I'm trying to rank up!

The total length of the centre circle and the two goal semi circles to be repainted is 56.22 meters.

Given:

Court lines are 50 mm wide.

Court paint covers 7 m² per litre of paint.

The centre circle is a complete circle, so the circumference is given by the formula: Circumference = 2πr

Radius of the entire circle = 9 m / 2 = 4.5 m

Radius of the centre circle = 4.5 m - 0.05 m (converted 50 mm to meters) = 4.45 m

Circumference of the centre circle = 2π(4.45 m) = 27.94 m

Next, let's calculate the circumference of the semicircles:

The semicircles are half circles, so the circumference is given by the formula: Circumference = πr

The radius (r) of the semicircles is the same as the radius of the entire circle, which is 4.5 m.

Circumference of a semicircle = π(4.5 m) = 14.14 m

Total length = Circumference of the centre circle + 2 x Circumference of a semicircle

Total length = 27.94 m + 2(14.14 m)

Total length = 56.22 m

Therefore, the total length of the centre circle and the two goal semi circles to be repainted is 56.22 meters.

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The most appropriate reason for Christie making changes to her budget at the end of every month in terms of smart financial planning is B. She is reviewing her goals and aligning the budget to work toward them.Option B is correct.

Smart financial planning involves regularly evaluating and adjusting one's budget to ensure that it reflects their financial goals and current circumstances. By reviewing her goals, Christie can assess if her budget is still aligned with those goals and make any necessary changes to stay on track.

Life circumstances, such as changes in income, expenses, or financial priorities, may warrant adjustments to the budget. Christie recognizes that her needs may change over time, and by modifying her monthly budget, she can ensure that her financial resources are allocated appropriately to meet her evolving goals.

Regularly revisiting and modifying the budget allows Christie to adapt her financial plans, optimize her spending, and make informed decisions to achieve her financial objectives. Option B is correct.

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Answer:

12 dollars

Step-by-step explanation:

5 pizzas are 30

1 is 6

2 are 12

Answer:

$12

Step-by-step explanation:

30/5 = 6

Each pizza is $6

6 x 2 = 12

Have a wonderful day!

0.06 can be expressed as literally 0.06%

Oh okay I see now, as a fraction you would multiply by 100, so it would be 6 / 100

Answer: 6%

Step-by-step explanation:

if you multiply 0.06 by 100 it gets you 6%

Answer:

so sorry

Step-by-step explanation:

Answer:

Neighborhood Bank  

Step-by-step explanation:

0.65% interest, compounded weekly

Answer:

The rectangle is 5 inches long by 19 inches wide.

Step-by-step explanation:

Let's start by listing what we know:

Let's represent the width with "w" and length with "l", and make a system of equations based on what we know.

\(\left \{ {{2w + 2l = 48} \atop {w = 3l + 4}} \right.\)

Now, let's solve the system of equations using substitution:

\(2w + 2l = 48\)

\(2 (3l + 4) + 2l = 48\)

\(6l + 8 + 2l = 48\)

\(8l + 8 = 48\)

\(8l = 40\)

\(l = 5\)

The length of the rectangle is 5 inches.

Now, let's use this to solve for the width.

\(w = 3l + 4\)

\(w = 3(5) + 4\)

\(w = 15 + 4\)

\(w = 19\)

The width of the rectangle is 19 inches.

Let's check our work:

\(2w + 2l = 48\)

\(2(19) + 2(5) = 48\)

\(38 + 10 = 48\)

\(48 = 48\)

The results match, so our answer is correct.

The rectangle is 5 inches long by 19 inches wide.

Answer:

Linear

Step-by-step explanation:

If its linear it fits into the y=mx+b, and this on does so its linear

Answer:

Step-by-step explanation:

Find the prime factors of each number:

GCF of the numbers is:

Factor the expression:

2³ is GCF

The answer is explained below.

In order to be considered a language, a system of communication must have vocabulary, grammar, syntax, and people who use and understand it. Mathematics meets this definition of a language. Linguists who don't consider math a language cite its use as a written rather than spoken form of communication.

Mathematics is pure language - the language of science. It is unique among languages in its ability to provide precise expression for every thought or concept that can be formulated in its terms. In a spoken language, there exist words, like "happiness", that defy definition.

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The transformations of f(x) when compared to the parent function is the graph of \(f(x)=x^2+5\) is moved 5 units up

Transformation of function is transforming a function from one form to another form .

f(x)-> f(x)+a , f(x) will be moved 'a' units up

f(x)-> f(x)-a , f(x) will be moved 'a' units down

f(x)-> f(x-a) , f(x) will be moved 'a' units right

f(x)-> f(x+a) , f(x) will be moved 'a' units left

f(x)-> -f(x), f(x) will be reflected across x-axis

f(x)-> f(-x), f(x) will be reflected across y-axis

For quadratic, the parent function is \(f(x)=x^2\)

Given that \(f(x)=x^2+5\)

Here , 5 is added with f(x) at the end

f(x)-> f(x)+a , f(x) will be moved 'a' units up

\(f(x)=x^2 ------ > f(x) =x^2+5\)

The graph of f(x) will be move 5 units up

the transformations of f(x) when compared to the parent function is the graph is moved 5 units up

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Answer:

$ 5.5

Step-by-step explanation:

$33 for 6 sandwiches.

For 1 sandwiche = ?

Now,

= 33 ÷ 6

= $5.5

Thus, the unit rate is $5.5

Answer:

Step-by-step explanation:

H0 : u = 1.0 mg/kg

HA: u > 1.0 mg/kg

Test statistic = -10.09

p-value is approximately 1, would report 0.9999

α = 10% ; 0.1

Using the Pvalue, we can make a decision pattern ;

Recall ; H0 is rejected If Pvalue < α

Here,

Pvalue Given is ' 0.99999 α = 0.1

Pvalue > α ; Hence, we fail to reject the Null ;

The actual Pvalue calculated using the test statistic will be :

Pvalue(-10.09) with test statistic value using a Pvalue calculator

Pvalue < 0.00001

Answer:

$4.02

Step-by-step explanation:

Answer:

194.4

Step-by-step explanation:

V=l*w*h

V=12*4.5*3.6

V=194.4

Answer:

1. Send me the chart and ill get you the answer.

2. unit cost is $0.30

Step-by-step explanation:

Answer:

x^7/12

Step-by-step explanation:

The question asks what is x^1/3 * x^1/4

x^1/3 * x^1/4

Now with those exponents we can already see that we have the same BASE (x)!! That saves a lot of time.

From there all we do is add the exponents

x ^(1/3 +1/4)

common denominator

x ^(4/12 + 3/12)

x^(7/12)

Answer:

Step-by-step explanation:

Before we do anything, we need to write this question from written form into expression form.

"The product of the cube root of x squared times the 4th root of x cubed" is:

\((\sqrt[3]{x^{2}})(\sqrt[4]{x^{3} } )\)

The best way to solve this is if you know the properties of exponents. The first thing to do is to convert these square roots and squares into exponents using the fractional exponent rule:

\(a^{\frac{m}{n} } =\sqrt[n]{a^{m} }\)

\(= (x^{\frac{2}{3} } )(x^{\frac{3}{4} } )\)

Now, we can combine these two using the product rule:

\((a^{m} )(a^{n} )=(a^{m+n} )\)

\(= x^{\frac{2}{3} } + x^{\frac{3}{4} } = x^{\frac{17}{12} } or \sqrt[12]{x^{17} }\)

The statements supported by the data in the table are:

The mean number of cars sold in a month is the same at both dealerships.

The total number of cars sold is the same at both dealerships.

The data for Admiral Autos shows greater variability.

To determine which statements are supported by the data in the table, let's analyze the given information:

The mean number of cars sold in a month is the same at both dealerships.

To calculate the mean, we need to find the average number of cars sold each month at each dealership.

For Admiral Autos:

(4 + 19 + 15 + 10 + 17) / 5 = 65 / 5 = 13

For Countywide Cars:

(9 + 17 + 14 + 10 + 15) / 5 = 65 / 5 = 13

Since both dealerships have an average of 13 cars sold per month, the statement is supported.

The median number of cars sold in a month is the same at both dealerships.

To find the median, we arrange the numbers in ascending order and select the middle value.

For Admiral Autos: 4, 10, 15, 17, 19

Median = 15

For Countywide Cars: 9, 10, 14, 15, 17

Median = 14

Since the medians are different (15 for Admiral Autos and 14 for Countywide Cars), the statement is not supported.

The total number of cars sold is the same at both dealerships.

To find the total number of cars sold, we sum up the values for each dealership.

For Admiral Autos: 4 + 19 + 15 + 10 + 17 = 65

For Countywide Cars: 9 + 17 + 14 + 10 + 15 = 65

Since both dealerships sold a total of 65 cars, the statement is supported.

The range of the number of cars sold is the same for both dealerships.

The range is determined by subtracting the lowest value from the highest value.

For Admiral Autos: 19 - 4 = 15

For Countywide Cars: 17 - 9 = 8

Since the ranges are different (15 for Admiral Autos and 8 for Countywide Cars), the statement is not supported.

The data for Admiral Autos shows greater variability.

To determine the variability, we can look at the range or consider the differences between each data point and the mean.

As we saw earlier, the range for Admiral Autos is 15, while for Countywide Cars, it is 8. Additionally, the data points for Admiral Autos are more spread out, with larger differences from the mean compared to Countywide Cars. Therefore, the statement is supported.

Based on the analysis, the statements supported by the data are:

The mean number of cars sold in a month is the same at both dealerships.

The total number of cars sold is the same at both dealerships.

The data for Admiral Autos shows greater variability.

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