The circumference of the bike tire above is 82.268 inches.

What is the radius of the bike tire? (Use 3.14 for .)
A.
26.2 in
B.
13.1 in
C.
41.13 in
D.
258.32 in

The amount of rope used by Mr.Lucy is given by equation A = 1.28125 feet of rope

Equations are statements in mathematics that have two algebraic expressions on either side of the equals (=) sign.

It displays the similarity of the connections between the phrases on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are examples of the parts of an equation. When creating an equation, the "=" symbol and terms on both sides are necessary.

Given data ,

Let the amount of rope used be represented as A

Now , the equation will be

The total amount of feet of rope Mr.Lucy has = 10 1/4 feet

So , total amount of feet of rope Mr.Lucy has = 10.25 feet

Now , the amount of rope used = ( 1/8 ) of the total amount

On simplifying , we get

The amount of rope used A = ( 1/8 ) x 10.25 feet

The amount of rope used A = ( 41 / 32 ) feet

The amount of rope used A = 1 9/32 feet

The amount of rope used A = 1.28125 feet of rope

Hence , the amount of rope used is A = 1.28125 feet of rope

To learn more about equations click :

https://brainly.com/question/19297665

#SPJ9

The expression which uses the commutative property to make it easier to evaluate (-3/4)x1/5x(-16) is (-3/4)x(-16)x1/5) which is therefore denoted as option A.

This states that the change in the order of two numbers in an addition or multiplication operation does not change the sum or the product.

In the expression (-3/4)x1/5x(-16) , there is the need to arrange them so as to make it easier for them to be reduced to their lowest factor which is why -16 was put close to the  (-3/4).

(-3/4)x(-16)x1/5 = 12 × 1/5 =  12/5

This is therefore the reason why option A was chosen as the correct choice.

Read more about Commutative property here https://brainly.com/question/778086

#SPJ1

Answer:

760 students

Step-by-step explanation:

divide 228 ÷ 30%

30% = 0.30

228 ÷ 0.30 = 760

In conclusion, the mapping in part B informs us that the two circles are equation congruent, i.e., that their size and shape are the same and that the mapping preserves all of their geometrical characteristics.

A mathematical equation links two statements and utilises the equals sign (=) to indicate equality. In algebra, an equation is a mathematical assertion that proves the equality of two mathematical expressions. For instance, in the equation 3x + 5 = 14, the equal sign separates the numbers by a gap. A mathematical formula may be used to determine how the two sentences on either side of a letter relate to one another. The logo and the particular piece of software are usually identical. like, for instance, 2x - 4 = 2.

The mapping in part B informs us that the points on the two circles correspond exactly to one another. In other words, there is exactly one point on the bigger circle for every point on the smaller circle, and vice versa.

In conclusion, the mapping in part B informs us that the two circles are congruent, i.e., that their size and shape are the same, and that the mapping preserves all of their geometrical characteristics.

To know more about equation visit:

https://brainly.com/question/649785

#SPJ1

Approximately 11,800 of the 16,000 voters would be expected to vote against the bond issue.

Data in math is information that can be quantified and organized. It can include numeric values, words, dates, and other types of data. Data is used to analyze relationships and make predictions. Data can be used to create charts, graphs, and tables that display trends, patterns, and relationships. Data can also be used to inform decisions and help solve problems.

Based on the collected data, it is likely that the bond issue will pass. Out of the three samples, only one showed a majority of people against the bond issue, and the other two samples showed a majority of people in favor. This indicates that there is a strong likelihood of the bond issue passing. I am confident in this assessment because the samples are representative of the same population, and there is a clear majority of people in favor of the bond issue.

Using the mean of the samples, approximately 11,800 of the 16,000 voters would be expected to vote against the bond issue.

To know more about data

https://brainly.com/question/14592520

#SPJ1

The total surface area of the hollow hemisphere is 1736.4 cm²

The total surface area of a large round bowl (hollow hemisphere) can be calculated by finding the surface area of the outer hemisphere and the surface area of the inner hemisphere and area of the ring and adding them together.

The formula for the surface area of a hemisphere is 2πr^2, where r is the radius of the hemisphere.

The outer radius of the bowl is 12 cm, so the surface area of the outer hemisphere is:

Surface area of outer hemisphere = 2π(12)^2 = 2π(144) = 288π

The inner radius of the bowl is the outer radius minus the thickness, which is 12 - 1 = 11 cm. So the surface area of the inner hemisphere is:

Surface area of inner hemisphere = 2π(11)^2 = 2π(121) = 242π

area of the concentric circle joining the outer surface and inner surface is π(12²-11²)= 23π

The total surface area of the bowl is the sum of the surface area of the outer hemisphere and the surface area of the inner hemisphere:

Total surface area = 288π + 242π + 23π = 553π

So the total surface area of the bowl is 530π cm^2.

then we can use the approximation π ≈ 3.14 to find the total surface area:

Total surface area ≈ 553*(3.14) ≈ 1736.4 cm^2

So the total surface area of the bowl is approximately 1736.4 cm^2.

Learn more about surface area here: https://brainly.in/question/1761454

#SPJ11

Answer:

a = 1

Step-by-step explanation:

6a + 5a + 1 = 12

Subtract one to both side leaving a by itself.

6a + 5a = 12 - 1

Now simply by add or subtracting, multiply or dividing.

11a = 11

Divide 11 to both side leaving a = ?

a = 1

Answer:

a= 1

Step-by-step explanation:

6a + 5a + 1 = 12

(-1) + 6a + 5a +1 = 12 -1

6a + 5a = 11

11a = 11

11a/11 = 11/11

a= 1

The equation that describe the number N bachelor's degrees awarded is N = 0.05t + 1.2 (a). The estimated number of bachelor's degrees to be awarded in 2023 is 1.85 million (b).

The practical sentence is "The number of bachelor's degrees awarded increases by 0.05 million, or 50,000, each year." (c). The graph, see the attachment.

(a) To find the equation describing the number N of bachelor's degrees awarded t years after 2010, we can use the formula for a linear equation: N = mt + b, where m is the slope and b is the y-intercept.

We can find the slope by using the formula m = (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are two points on the line. In this case, the two points are (2010, 1.2 million) and (2020, 1.7 million).

The y-intercept is the value of N when t = 0, which is the number of bachelor's degrees awarded in 2010, or 1.2 million. So the equation is:

(b) To estimate the number of bachelor's degrees to be awarded in 2023, we can plug in the value of t = 2023 - 2010 = 13 into the equation:

So the estimated number of bachelor's degrees to be awarded in 2023 is 1.85 million.

(c) A practical sentence expressing how the number of bachelor's degrees awarded changes yearly is: "The number of bachelor's degrees awarded increases by 0.05 million, or 50,000, each year."

(d) To graph the number of bachelor's degree line over the time period stated in (a), we can plot the two points (2010, 1.2) and (2020, 1.7) and draw a line through them.

Learn more about equation https://brainly.com/question/2972832

#SPJ11

Answer: 5

Step-by-step explanation:

To solve 4/5x + 3 = 7 for x, we must isolate x on one side of the problem.

To begin, remove 3 from both sides to get:

4/5x = 4

Hence, we can multiply both sides by 5/4 to isolate x:

x = 5

As a result, the answer to the equation 4/5x + 3 = 7 is x = 5.

Learn more about the x type questions:

https://brainly.com/question/17426042

Answer:

The lateral area of the prism is 190 square inches and the total surface area is 358 square inches.

Step-by-step explanation:

To find the lateral area and total surface area of a rectangular prism, we need to use the following formulas:

Lateral Area = perimeter of the base x height

Total Surface Area = 2 x base area + lateral area

Where the base area is simply the product of the length and width of the rectangular prism.

Let's apply these formulas to the rectangular prism with dimensions 12in x 7in x 5in:

Lateral Area:

To find the perimeter of the base, we add up the lengths of all four sides of the rectangle:

Perimeter of the base = 2(length + width) = 2(12in + 7in) = 2(19in) = 38in

Now, we multiply the perimeter of the base by the height of the prism:

Lateral Area = 38in x 5in = 190in^2

Therefore, the lateral area of the rectangular prism is 190 square inches.

Total Surface Area:

To find the base area, we simply multiply the length and width of the rectangular prism:

Base Area = length x width = 12in x 7in = 84in^2

Now, we can use the formula for total surface area:

Total Surface Area = 2 x base area + lateral area

Total Surface Area = 2(84in^2) + 190in^2

Total Surface Area = 168in^2 + 190in^2

Total Surface Area = 358in^2

Therefore, the total surface area of the rectangular prism is 358 square inches.

So the lateral area of the prism is 190 square inches and the total surface area is 358 square inches.

Answer:

864 cards

Step-by-step explanation:

Goal: 15 set of cards

*72 cards in a set*

15 x 72 = 1080

15 sets of cards = 1080 cards in total

However Kareem so far has 216 cards.

To find out how much more cards Kareem need to reach his goal, you do the following:

1080 - 216 = 864

Kareem needs 864 more cards to reach his goal.

hope this helped....

i) If σ > 0 is unknown, then the distribution of Y is in a location-scale family with the parameters: Location parameter: α and Scale parameter: γ
ii) If σ > 0 is known, then the distribution of Y is in an exponential family with the parameters: Shape parameter: α and Scale parameter: σγ

(i) If σ > 0 is unknown, then the distribution of Y is in a location-scale family. This is because the distribution of Y can be expressed as a linear transformation of the distribution of X. Specifically, Y = σ log X = σ(log X - E[log X]) + E[log X], where E[log X] is the expected value of log X. This is the form of a location-scale family, with location parameter E[log X] and scale parameter σ.

(ii) If σ > 0 is known, then the distribution of Y is in an exponential family. This is because the distribution of Y can be expressed as an exponential family distribution with natural parameter -1/σ and sufficient statistic log X. Specifically, the probability density function of Y can be written as f_Y(y) = f_X(e^(y/σ)) * (1/σ) * e^(y/σ) = (1/σ) * e^(-(y-E[log X])/σ) * f_X(e^(E[log X]/σ)), where f_X is the probability density function of X. This is the form of an exponential family distribution, with natural parameter -1/σ and sufficient statistic log X.

For more such questions on Probability Distribution.

https://brainly.com/question/17283589#

#SPJ11

Answer:

x = -3 to x = 2

Step-by-step explanation:

The function is decreasing where the slope is negative, seen when the y-values decrease as the x-values increase. Your answer is correct.

Answer:

X is - 3 to x is 2

Step-by-step explanation:

Look at the x axis, the point where the curve slopes down is the decreasing point

Where x is - 3 is a peak point, it begins to slope from there and rises when x is 3

Answer:

The formula for the length of an arc of a circle is given by:

length of arc = (central angle/360) x 2πr

where r is the radius of the circle and the central angle is measured in degrees.

In this problem, we know the length of arc RV is 3π/2 units and the radius of circle M is 6 units. Therefore, we can solve for the central angle using the formula above:

3π/2 = (central angle/360) x 2π(6)

3π/2 = (central angle/180) x π x 6

3/2 = (central angle/180) x 6

central angle = (3/2) x (180/6) = 45 degrees

So the approximate measure of angle RMV is 45 degrees, which corresponds to option B.

The height of the cone is approximately 28.867 units and the radius is approximately 21.65 units.

Let's denote the height of the cone as "h" and the radius as "r".

From the problem statement, we know that:

r = (3/4)h ...(1) (given)

The surface area of the cone is given as 3750 square units. The formula for the surface area of a cone is:

Surface Area of Cone = πr(r + l),

where "l" is the slant height of the cone. Since the slant height is not given in the problem, we need to express "l" in terms of "r" and "h" using the Pythagorean theorem:

l² = r² + h²

l² = (3/4)² h² + h²

l² = (9/16)h² + h²

l² = (25/16)h²

l = (5/4)h

Substituting this expression for "l" and the expression for "r" from equation (1) into the surface area formula, we get:

3750 = πr(r + l)

3750 = π[(3/4)h] [(3/4)h + (5/4)h]

3750 = π (9/16 + 15/16) h²

3750 = π (24/16) h²

3750 = (3/2) π h²

h² = (2500/3π)

h ≈ 28.867

Substituting this value of "h" into equation (1), we get:

r = (3/4)h

r ≈ 21.65

Learn more about cone on:

https://brainly.com/question/6613758

#SPJ1

Answer: Radius 37.5    &      height 50

Step-by-step explanation: correct in edmuntum/plato

Answer:

Let x be the score Natasha needs to earn on her next test to reach an average of 90%.

To find x, we can use the formula for the average:

average = (sum of scores) / (number of scores)

We know that Natasha has taken 5 tests so far, with scores of 94%, 89%, 88%, 92%, and 85%. We can plug these values into the formula and solve for x:

90% = (94% + 89% + 88% + 92% + 85% + x) / 6

Multiplying both sides by 6, we get:

540% = 448% + x

Subtracting 448% from both sides, we get:

92% = x

Therefore, Natasha needs to earn a score of at least 92% on her next test to reach an average of 90%.

He should sell 50 5-oz containers and 15 10-oz containers to maximize his revenue.

A cοntainer is a standard unit οf sοftware that packages up cοde and all its dependencies sο the applicatiοn runs quickly and reliably frοm οne cοmputing envirοnment tο anοther. Cοntainers are a sοlutiοn tο the prοblem οf hοw tο get sοftware tο run reliably when mοved frοm οne cοmputing envirοnment tο anοther. This cοuld be frοm a develοper’s laptοp tο a test envirοnment, frοm a staging envirοnment intο prοductiοn, and perhaps frοm a physical machine in a data center tο a virtual machine in a private οr public clοud.

Corner point (x, y) Value of 8x+14y

0(0,0) 0

A(65,0) 520

B(50, 15) 610

C(0,40) 560

So, the maximum value is 610

Therefore, the maximum point is B(50, 15)

∴ x = 50, y = 15

So, the maximum value is

Therefore, the maximum point is

Hence, he should sell 50 5-oz containers and 15 10-oz containers to maximize his revenue.

To learn more about container

brainly.com/question/29153592

#SPJ1

Answer:

Step-by-step explanation:

A is y=x+4

b is y=14

Answer:

140 square yards

Step-by-step explanation:

To calculate the area of the farmer's potato garden, we need to multiply the length by the width of the garden.

Area of the potato garden = Length x Width

Given that the length of the potato garden is 14 yards and the width is 10 yards, we can substitute the values into the formula and get:

Area of the potato garden = 14 yards x 10 yards

Area of the potato garden = 140 square yards

Therefore, the area of the farmer's potato garden is 140 square yards.

Answer:140[tex]yards^{2}[/tex]

Step-by-step explanation: to find the area you multiply two different lengths of the rectangle together to get 140

The properties of Rhombus are:

Explain about parallelogram ?

A parallelogram is a quadrilateral with two pairs of parallel sides. The opposite sides of a parallelogram are equal in length and parallel to each other. The opposite angles are also equal in measure.

Properties of a parallelogram:

Opposite sides are parallel.

Opposite sides are equal in length.

Opposite angles are equal in measure.

Consecutive angles are supplementary, i.e. their sum is 180 degrees.

Diagonals bisect each other.


Given by the question:

A rhombus, also called a diamond, is a type of parallelogram in which all four sides are equal in length. A rhombus also has the following properties:

To know more about parallelogram visit:
https://brainly.com/question/16576301
#SPJ1

The order of the colors is Red, blue, yellow

Chromatography is a laboratory technique used to separate and analyze mixtures of different compounds based on their physical and chemical properties. It involves passing a mixture through a stationary phase, which may be a solid or a liquid, and a mobile phase, which may be a liquid or a gas.

As the mixture passes through the stationary phase, the different compounds in the mixture interact with the stationary phase to varying degrees, causing them to separate. The mobile phase carries the separated components through the stationary phase, and the separated components are detected and analyzed using a detector, such as a spectrophotometer.

Learn more about chromatography:https://brainly.com/question/30907934

#SPJ1

Answer:

The graph will be parallel with x-axis and intersects y at -8

Step-by-step explanation:

For the function y = -8, whatever the x is, y is always -8.

x         y

-10     8

-9      8

-3      8

-2      8

2       8

The graph will be parallel with x-axis and intersects y at -8

Answer: The function to express the total amount of money Martin will make as a function of the number of calls he makes is:

Total Money = (Number of hours worked x Base pay per hour) + (Bonus pay per hour x Number of bonus calls)

Where:

Number of hours worked = 4

Base pay per hour = $75 / 4 = $18.75 (since he works for 4 hours every day and receives $75)

Bonus pay per hour = ($5.50 x (Number of bonus calls)) / 4 (since he works for 4 hours every day and receives a bonus of $5.50 per call over 35 in one hour, which is equivalent to $5.50 / 4 per call)

Number of bonus calls = (Total calls - (Number of hours worked x Baseline calls per hour))

Using this formula, we can calculate how much money Martin will make for the day if he makes a total of 45 calls every hour:

Number of bonus calls = (45 - (4 x 35)) = 5

Bonus pay per hour = ($5.50 x 5) / 4 = $6.875

Total Money = (4 x $18.75) + (4 x $6.875) = $75 + $27.50 = $102.50

Therefore, if Martin makes a total of 45 calls every hour, he will make $102.50 for the day.

Step-by-step explanation:

When the quiz score is expected to be 98, the corresponding x-value, which represents the number of hours spent on homework, is approximately 5.125 hours.

What is the linear equation in two variables?

A linear equation in two variables is an equation of the form:

ax + by = c

where x and y are variables, a, b, and c are constants, and a and b are not both zero. The graph of a linear equation in two variables is a straight line, and any point on the line satisfies the equation.

The given equation is:

y = 8x + 57

where y is the quiz score and x is the hours spent on homework.

To find the meaning of the x-value when y = 98, we can substitute y = 98 into the equation and solve for x:

98 = 8x + 57

Subtracting 57 from both sides, we get:

41 = 8x

Dividing both sides by 8, we get:

x = 5.125

when the quiz score is expected to be 98, the corresponding x-value, which represents the number of hours spent on homework, is approximately 5.125 hours. This suggests that students who spend around 5 hours and 7.5 minutes on homework per week can expect to score around 98 on their weekly quiz.

Therefore, when the quiz score is expected to be 98, the corresponding x-value, which represents the number of hours spent on homework, is approximately 5.125 hours.

To learn more about the linear equation in two variables, visit:

https://brainly.com/question/28871326

#SPJ1

The correct answer is c. 7.81.

To find the variance for the distribution of ungrouped data, we need to use the formula:

Variance = (Σ(x^2)f - (Σxf)^2 / n) / n

Where x is the data value, f is the frequency of the data value, and n is the total number of data values.

For the first question:

1. The variance for the following distribution of ungrouped data to its right is:

Dato (x) Frecuencia (f) xf x^2f
3.2 3 9.6 30.72
1.3 4 5.2 6.76
2.4 2 4.8 11.52
Total 9 19.6 49

Variance = (49 - (19.6)^2 / 9) / 9
Variance = (49 - 42.46) / 9
Variance = 0.73

Therefore, the correct answer is a. 0.79.

For the second question:

2. The variance for the following distribution of ungrouped data to its right is:

Edad (x) Frecuencia (f) xf x^2f
6 7 42 252
7 12 84 588
8 10 80 640
9 8 72 648
10 5 50 500
Total 42 328 2628

Variance = (2628 - (328)^2 / 42) / 42
Variance = (2628 - 2570.29) / 42
Variance = 1.38

Therefore, the correct answer is c. 7.81.

Learn more about variance

brainly.com/question/14116780

#SPJ11

To find a unit vector with a positive first component that is orthogonal to all three of the given vectors, we need to find a vector x = (x1, x2, x3, x4) that satisfies the following equations:

= 0
= 0
= 0

This means that:

x1 - x2 + 7x3 = 0
8x1 + x2 + x4 = 0
x1 + 6x3 + x4 = 0

We can solve this system of equations to find x. One possible solution is x = (1, -1, 0, 1). However, this is not a unit vector, so we need to divide each component by the length of the vector to get a unit vector:

x = (1, -1, 0, 1) / ||(1, -1, 0, 1)|| = (1/sqrt(3), -1/sqrt(3), 0, 1/sqrt(3))

So, the unit vector with a positive first component that is orthogonal to all three of the given vectors is (1/sqrt(3), -1/sqrt(3), 0, 1/sqrt(3)).

To know more about unit vector click here:

https://brainly.com/question/30279109

#SPJ11

To estimate the average height of black spruce trees in a 1,000 ha plot with 99% confidence that the estimate is within 0.5 m, you need a sample size of at least 19. This is based on the standard deviation of tree heights in a nearby location of 1.10 m as determined in a study conducted last year.

To estimate the average height of black spruce trees in a 1,000 ha plot with 99% confidence that the estimate is within 0.5 m, we can use the formula for sample size calculation:

n = (z² × σ²) / E²

Where:

n = sample size

z = z-score for the desired confidence level (99% confidence level corresponds to a z-score of 2.576)

σ = standard deviation (1.10 m)

E = margin of error (0.5 m)

Plugging in the values into the formula, we get:

n = (2.576² × 1.10²) / 0.5²n = 18.15.

Therefore, the sample size must be at least 19 black spruce trees to have 99% confidence that the estimate is within 0.5 m.

For more such questions on Sample size calculation.

https://brainly.com/question/10501152#

#SPJ11

Answer:

a = 3, b = 9

Step-by-step explanation:

A scale factor is the number that you multiply each side of a shape to enlarge it. A scale factor of 3 means that each side of the new shape is three times the size of the original.

If the new shape is 3 times the size of the original, then we can take the side lengths (3 and 1) and multiply them by 3.

Therefore, the length of a is 3, whereas the length of b is 9.