What is the range?
7 7.8 3.2 5.2 3.2 5.2
4.5 5.6 2.6 6 6 4.5
7 5.6 4.2 8 9.4 6.5
4.9

Answer:

C = 2π(3/8) = 3π/4 units

Step-by-step explanation: The area of the circle is given by the formula A = πr^2, where A is the area and r is the radius.Therefore, 9/64π = πr^2Simplifying, we get:r^2 = 9/64Taking the square root of both sides, we get:r = 3/8The circumference of a circle is given by the formula C = 2πr, where C is the circumference and r is the radius.Therefore, the circumference of the circle is:C = 2π(3/8) = 3π/4 units

Answer:

The true statements are:

x + y = 90

x + y + 2z = 180

We have no information about x and y.

a) The predicted heating cost for a month with temperature of 25 ºF is given as follows: $65.70.

b) The predicted heating cost for a month with temperature of 0 ºF is given as follows: $96.20

c) For an increase of one degree Fahrenheit, the predicted decrease in the cost is of $1.22.

The slope-intercept representation of a linear function is given by the equation presented as follows:

y = mx + b

The coefficients of the function and their meaning are described as follows:

The slope and the intercept for the function in this problem are given as follows:

Hence, the predicted cost for a month with temperature of 25ºF is given as follows:

y = -1.22(25) + 96.20 = $65.70.

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Answer:

15 cm × 9.5 cm = 142.5 square cm

Answer:

The area of the given figure is 142.5 sq. cm.

Step-by-step explanation:

The area of a parallelogram is given by the base multiplied by the height. The base in the given figure is 15 cm whereas the height is 9.5 cm.

15 × 9.5 equals 142.5

Hence, the area is 142.5 sq. cm.

The data distribution for brand A is slightly skewed left while the data distribution for brand B is close to symmetric.

The medians of the data distributions for Brand A and Brand B  are: greater than 12

Some of the terms in normal distribution spread are:

Right skewed: This is clearly where the mean is greater than the median. The mean overestimates the most common values in a positively skewed distribution.

Left skewed: This is clearly where the mean is less than the median.

Symmetric: In a symmetrical distribution, the mean, median, and mode are all equal.

1) Brand A distribution is left skewed because because there is a cluster of data on the right side

Brand B distribution is symmetric

2) The median of brand A will be the 16th and 17th dots which gives us:

(12 + 14)/2 = 13

Meanwhile, the median of brand B is:

(11 + 13)/2 = 12

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Answer:

Step-by-step explanation:

I think its -5

Answer:x = 3    x = 1/2

Step-by-step explanation:

1. Simplify the expression by dividing both sides by the same factor.

x = 2x² -7x + 3 = 0

2x² - 7x + 3 = 0

2. Use the quadratic formula

Once in standard form, identify a, b, and c from the original equation and plug them into the quadratic formula.

3. Simplify

1. Evaluate the exponent

2. Multiply the numbers

3. Subtract the numbers

4. Evaluate the square root

5.  Multiply the numbers

6. Separate the equations

To solve for the unknown variable, separate it into two equations: one with a plus and the other with a minus.

7.  Solve

Rearrange and isolate the variable to find each solution

Answer:

y equals one fourth times x minus 2

Step-by-step explanation:

Equation of straight line:

y =ax + b

Find a and b by selecting at random two pairs from among the plots.

(0, -2)

-2 = a·0 +b

b =-2

(4, -1)

-1 = a.4 +(-2)

-1 =4a -2

1 = 4a

a = 1/4

Equation is : y=(1/4)x -2   y equals one fourth times x minus 2

Option (A) y equals one fourth times x minus 2.

Please mark my answer as the BRAINLIEST. Plssssssssssssssssssss

Answer: The answer is A.  The slope is 6, which means that the amount the student raised increases by $6 each hour.

Step-by-step explanation: I hope this help.

The correct interpretation is option (A) The slope is 6, which means that the amount the student raised increases by $6 each hour.

A linear equation is an algebraic equation of the form y=mx+b, where m is the slope and b is the y-intercept, and only a constant and a first-order (linear) term are included. Sometimes, the aforementioned is referred to as a "linear equation of two variables," with y and x serving as the variables.

The slope is 6, which means that the amount of money Laila raised increases by $6 for every hour she danced. In other words, for each additional hour of dancing, Laila raised an additional $6 in donations.

This indicates a linear relationship between the number of hours Laila danced and the amount of money raised.

The y-intercept is 20, which means that when Laila did not dance at all, she still managed to raise $20 for the Animals are Loved Shelter.

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Answer:

The equation that represents a linear function is:

y = 5x - 6

Step-by-step explanation:

This equation has a constant rate of change, which means that for every unit increase in x, there is a consistent and constant increase or decrease in y. This is a characteristic of linear functions, where the relationship between x and y is a straight line.

y = 5x - 6 is represents a linear function.

A linear function is a type of function in which the highest power of x is one. The graph of a linear function has only one solution, and intercept x - axis at only one point and intercepts y - axis at only one point as well.

Generally, the equation of a linear function is given as;

y = mx + c

where;

The graph of a linear function is usually directly proportional, either increasing or decreasing.

From the options, only the function, y = 5x - 6 is a linear function.

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The math ratio that represents efficiency is option D). Fo x do / Fi x di.In this ratio:Fi represents the input force or input quantity.di represents the input distance or input time.Fo represents the output force or output quantity.do represents the output distance or output time.Efficiency is typically calculated by comparing the output to the input. In the case of mechanical systems, it is often measured as the ratio of output work or energy to input work or energy.Therefore, the ratio Fo x do / Fi x di represents the output work or energy divided by the input work or energy, which is commonly used to determine efficiency in various contexts.

Answer:

36.9 gallons were used in one month.

Step-by-step explanation:

In order to find this out, we first take 3/5 and convert it into a decimal by dividing the numerator by the denominator

3 ÷ 5 = 0.6

Then, we can set up this equation to figure out how many gallons of gasoline were used:

0.6 x 61.5 = 36.9

Answer: 36.9 gallons used

Step-by-step explanation: 61.5 * 3/5 which is 615/10 * 3/5.

Answer: D)

Step-by-step explanation:

Look at the data table then look at the scatterplot to see if the values line up.

10 field goals, 15 yards distance from the Goal Post.
9 field goals, 20 yards distance from the Goal Post.

10 field goals, 25 yards distance from the Goal Post.

11 field goals, 30 yards distance from the Goal Post.

And so on...

Answer:

B

Step-by-step explanation:

Answer:

6(10)+5x=180

Step-by-step explanation:

This is because there are 6 10-pound bags that we know of, so it would be 6(10).

Then, there are an unknown number of 5-pound bags, in which the variable would be x, so it would be 5x.

Lastly, the content weighs 180 pounds, so that's what the equation would be equal to.

Answer:

A set of ordered pairs represents a function if each input (first coordinate) corresponds to one and only one output (second coordinate). In other words, there can't be two different second coordinates for the same first coordinate.

Using this definition, we can determine which of the sets of ordered pairs represents a function:

A: {(-4, -3), (-2, -1), (-2, 0), (0, -2), (0, 2)}

The input -2 has two different outputs (-1 and 0), and the input 0 also has two different outputs (-2 and 2). Therefore, this set does not represent a function.

B: {(-5, -5), (-5, -4), (-5, -3), (-5, -2), (-3, 0)}

The input -5 has four different outputs (-5, -4, -3, and -2), but each of the other inputs has only one output. Therefore, this set does not represent a function.

C: {(-4, -5), (-4, 0), (-3, -4), (0, -3), (3, -2)}

The input -4 has two different outputs (-5 and 0), but each of the other inputs has only one output. Therefore, this set does not represent a function.

D: {(-6, -3), (-4, -3), (-3, -3), (-2, -3), (0, 0)}

Each input has only one output, so this set represents a function.

Therefore, the set of ordered pairs that represent a function is D: {(-6, -3), (-4, -3), (-3, -3), (-2, -3), (0, 0)}.

Answer:

790,000

Step-by-step explanation:

The 5 represents the number by itself so it would be

10x10x10x10x10=100,000

7.9x100,000=790,000

Step-by-step explanation:

if you multiply something by 10 = 10¹, you move the decimal point 1 position to the right (and fill up with a 0, if necessary).

if you multiply something by 100 = 10², you move the decimal point 2 positions to the right (and fill up with 0s as needed).

if you multiply something by 1000 = 10³, you move the decimal point 3 positions to the right (and fill up with 0s as needed).

...

you see the pattern ?

so, when multiplying by 10⁵ (100,000) we shift the decimal point 5 pairings to the right and fill up with 0s as needed.

therefore,

7.9 × 10⁵ = 790,000.-

Answer:

24 years

Step-by-step explanation:

If interest is not compounded, it is called simple interest.

Simple interest is calculated as a percentage of the principal amount and is applied only to the principal.

The formula for simple interest is:

[tex]\boxed{\sf I = Prt}[/tex]

where:

The given values are:

Substitute the given values into the formula and solve for t:

[tex]\implies \sf 100=70 \cdot 0.06 \cdot t[/tex]

[tex]\implies \sf 100=4.2 t[/tex]

[tex]\implies \sf 4.2 t=100[/tex]

[tex]\implies \sf \dfrac{4.2 t}{4.2}=\dfrac{100}{4.2}[/tex]

[tex]\implies \sf t=23.8095238...\;years[/tex]

We need to round up to the next year. Therefore, it will take 24 years for John to make at least $100 in interest.

Answer:

approx. 24 years

Step-by-step explanation:

The formula to find the simple interest is:

[tex]\sf I= \frac{prt}{100}[/tex]

Here,

I ⇒ Interest ⇒ $ 100

p ⇒ principle ⇒ $ 70

r ⇒ rate ⇒ 6

t ⇒ time ( years )

Let us find the time taken using the formula.

[tex]\sf I= \frac{prt}{100}\\\\100=\frac{70*6*t}{100} \\\\100*100=420t\\\\10000=420t\\\\23.8\: years=t\\\\approx. \:24 \:years=t[/tex]

Answer:

90° counterclockwise rotation

The mixed fraction approximation for the given terms using the perfect squares method are:

To approximate the square roots using the perfect squares method, we need to find the largest perfect square that is less than each of the given terms, and then simplify.

For 2√5:

The largest perfect square less than 5 is 4, so we can write 2√5 as 2√(4)√(5/4).

Simplifying, we get:

2√(4)√(5/4)

= 2(2)√(5/4)

= 4√(5/4)

= 4√5/√4

= 4√5/2

= 2√5.

For 3√2:

The largest perfect square less than 2 is 1, so we can write 3√2 as 3√(1)√(2/1).

Simplifying, we get:

3√(1)√(2/1)

= 3(1)√(2/1)

= 3√2/√1

= 3√2.

For 2√3:

The largest perfect square less than 3 is 1, so we can write 2√3 as 2√(1)√(3/1).

Simplifying, we get:

2√(1)√(3/1)

= 2(1)√(3/1)

= 2√3/√1

= 2√3.

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Answer:

Step-by-step explanation:

Area of a square = length²

If the area of a square is given, in order to determine the length, find the square root of the area.

√16 / 36 = 4/6 foot

an = a1 + (n - 1)d

Substituting the values

an = 2 + (n - 1)8

We have to find the 25th term n = 25

a25 = 2 + (25 - 1)8

a25 = 2 + (24)8

a25 = 2 + 192

a25 = 194

======================================================

Explanation:

The gap between adjacent terms is 8.

The long way to get the answer would be to keep adding 8 to each term to generate the next one. You'd need to do this 20 times. There are 5 terms here already, so you need 25-5 = 20 more operations of "add 8".

I don't recommend this option. I recommend the shortcut mentioned in the next section.

--------

The shortcut would be to find the nth term of the arithmetic sequence

[tex]a_1 = 2 = \text{ first term}\\\\d = 8 = \text{ common difference}\\\\a_n = \text{ nth term}\\\\a_n = a_1 + d(n-1)\\\\a_n = 2 + 8(n-1)\\\\[/tex]

As a check, plug n = 1 into that formula to get [tex]a_1 = 2[/tex]. Plug n = 2 to get [tex]a_2 = 10[/tex] and so on. I'll leave this check portion for the student to do.

--------

The last step is to plug n = 25 into that formula to determine the 25th term.

[tex]a_n = 2 + 8(n-1)\\\\a_{25} = 2 + 8(25-1)\\\\a_{25} = 2 + 8(24)\\\\a_{25} = 2 + 192\\\\a_{25} = 194\\\\[/tex]

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Extra section (optional):

We can use a spreadsheet to generate the 25 terms. This is to help check the answer.

2, 10, 18, 26, 34, 42, 50, 58, 66, 74, 82, 90, 98, 106, 114, 122, 130, 138, 146, 154, 162, 170, 178, 186, 194

Answer: It is D.  Carl had 8 pounds of ice after 2 minutes, didn't use any ice for 4 minutes, and then used one half pound each minute for 6 minutes.

Step-by-step explanation:

Answer:

1.5 miles less

Step-by-step explanation:

Step 1:  Find equation for Alexanda

[tex]m=\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex].

If we allow (8, 345.6) to be our x1 and y1 and (12, 518.4) to be our x2 and y2, our slope is

[tex]m=\frac{(518.4-345.6)}{(12-8)}\\ m=\frac{172.8}{4}\\ m=43.2[/tex]

[tex]345.6=43.2(8)+b\\345.6=346.6+b\\0=b[/tex]

Thus, the equation for Alexandra is y = 43.2x

Step 2: Plug in 1 for x for both Fabian and Alexandra's equations and subtract

Since x is is gallons, we plug in 1 for x for each equation and subtract Fabian's miles from Alexandra's miles to find how many miles less can Fabian drive one 1 gallon of gas than Alexandra:

Fabian:  y = 41.7(1) = 41.7

Alexandra:  y = 43.2(1) = 43.2

Difference of Alexandra and Fabian's miles:  43.2 - 41.7 = 1.5

Answer: s < -2

Step-by-step explanation: To find 'S', read the following steps below

First, you're going to subtract 17 from 17 and 9,

you will end up with this equation: 4s<-8

Then, you will divide 4 by 4, leaving the variable by itself, and divide -8 by 4.

Sorry if you don't understand my explanation, I tried my best :)

Answer:I show u on paper

Step-by-step explanation:hope this helps

First you isolate the instead of 4s+17<9 you have 4s<9-17

Next you get 4s<-8

Then you now divide so you get s< -8÷4 which is -2

Answer:

My fault i need points

Step-by-step explanation: