Find the area of the figure below composed of a square and four Semicircles rounded to the nearest tenths place 

Answer:

  y = (x +2)² -3

Step-by-step explanation:

You want the math operators that are needed to properly write the equation of the given parabola in vertex form.

The vertex is the low point on the curve. Its coordinates are (-2, -3).

The vertex form of the equation for a parabola is ...

  y = a(x -h)² +k

You want the equation for (h, k) = (-2, -3). It is ...

  y = a(x +2)² -3

The operators are plus (+) and minus (-).

Answer:

[tex]y = a(x+2)^2-3[/tex]

Explanation:

You are adding the 2 to move the whole function two times to the left and you are subtracting the 3 so that the minimum of the quadratic function is -3.

Answer:

(- 1.5, - 4.5 )

Step-by-step explanation:

given endpoints (x₁, y₁ ) and (x₂, y₂ ) then the midpoint is

( [tex]\frac{x_{1}+x_{2} }{2}[/tex] , [tex]\frac{y_{1}+y_{2} }{2}[/tex] )

here (x₁, y₁ ) = (- 2, - 4 ) and (x₂, y₂ ) = (- 1, - 5 ) , then

midpoint = ( [tex]\frac{-2-1}{2}[/tex] , [tex]\frac{-4-5}{2}[/tex] ) = ( [tex]\frac{-3}{2}[/tex] , [tex]\frac{-9}{2}[/tex] ) = (- 1.5, - 4.5 )

Answer: They ate 7/8 of the pizza in total.

The volumes of the figures are 728 cubic meters, 47.14 cubic yards, 1260 cubic centimeters, 5581.71 cubic inches and 860.07 cubic inches

Figure 1:

The volume is calculated as

Volume = Product of dimensions/3

So, we have

Volume = 13 * 8 * 21/3

Volume = 728 cubic meters

Figure 2:

The volume is calculated as

Volume = πr²h

So, we have

Volume = 22/7 * 5² * 3/5

Volume = 47.14 cubic yards

Figure 3:

The volume is calculated as

Volume = Product of dimensions

So, we have

Volume = 14 * 18 * 5

Volume = 1260 cubic centimeters

Figure 4:

The volume is calculated as

Volume = 1/3πr²h

So, we have

Volume = 1/3 * 22/7 * 12² * 37

Volume = 5581.71 cubic inches

Figure 5:

The volume is calculated as

Volume = 1/3h(a² + b²)

So, we have

Volume = 1/3 * 13.3 * (16 * 6 + 14 * 7)

Volume = 860.07 cubic inches

Other dimensions are not clear

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Step-by-step explanation:

As the speed increases the time required to travel a distance is lessened.

 say you have to go 100 km

     if you go 20 km /hr it will take 5 hr....butif you increase your speed

( x axis) to 50 km/ hr it will take less time ....ony 2 hours    so the graph A is most representative       (look at the positive portion of the graph of

                                                   y = 100/x  )

Factor f(x)=3x³ + 7x²2-18x+8 into linear factors is f(x) = (x+4)(3x+7)(x-7/3)

In mathematics, factorization (also known as factoring) is the process of finding the factors of a given mathematical expression or number. A factor is a number or expression that divides another number or expression exactly, leaving no remainder.

For example, the factors of 6 are 1, 2, 3, and 6 because these are the numbers that divide 6 exactly with no remainder. Similarly, the factors of x² - 4 are (x+2)(x-2) because when we multiply these two expressions together, we get x² - 4.

If -4 is a zero of f(x), then x+4 is a factor of f(x) by the factor theorem

f(x) = (x+4)(3x² - 5x - 78)

To factor the quadratic further, we can use the quadratic formula or factoring by grouping:

3x² - 5x - 78 = 0

x = (5 ± √(5² + 4(3)(78))) / (2(3))

x = (5 ± 19) / 6

x = -7/3 or x = 13/3

Therefore, we have:

f(x) = (x+4)(3x+7)(x-7/3)

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Answer: 9.9% (rounded to the nearest tenth

Step-by-step explanation:

At the initial investment of $1600 compounded quarterly for 7 years with an interest of 4.12%, the amount Alyssa will get is $2,131.72.

The powerful investing principle of compounding entails generating returns on both your initial investment and returns you have already received.

You must reinvest your returns back into your account for compounding to take effect.

Consider an investment of $1,000 that yields a 6% return.

The words under and ground, for instance, are combined to get the word subterranean.

So, we know that:

Initial deposit: $1600

Interest: 4.12%

Compounded quarterly for 7 years.

Then, the amount after 7 years would be:

Using the compounding calculator we know that after 7 years Alyssa will have: $2,131.72

Therefore, at the initial investment of $1600 compounded quarterly for 7 years with an interest of 4.12%, the amount Alyssa will get is $2,131.72.

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Complete question:

Alyssa started a savings account with an initial deposit of $1600. The account earns 4.12% interest compounded quarterly for 7 years. Calculate how much money will be in the account after 7 years, assuming Alyssa

makes no additional deposits or withdrawals.

Answer: To find the length of the horizontal sides of the rhombus, we need to find the distance between points (1, 3) and (9, 7), which is the same as the distance between points (4, 7) and (6, 3).

Using the distance formula:

d = √[(x₂ - x₁)² + (y₂ - y₁)²]

d = √[(9 - 1)² + (7 - 3)²]

d = √[64 + 16]

d = √80

d ≈ 8.94

So the length of the horizontal sides of the rhombus is approximately 8.94 units.

To find the perimeter of the rhombus, we need to find the distance between all four vertices and add them up.

Using the distance formula:

d₁ = √[(4 - 1)² + (7 - 3)²] = √25 = 5

d₂ = √[(9 - 4)² + (7 - 7)²] = √25 = 5

d₃ = √[(6 - 9)² + (3 - 7)²] = √16 + 16 = √32 ≈ 5.66

d₄ = √[(1 - 6)² + (3 - 7)²] = √25 + 16 = √41 ≈ 6.40

Perimeter = d₁ + d₂ + d₃ + d₄ = 5 + 5 + 5.66 + 6.40 ≈ 22.06

So the perimeter of the rhombus is approximately 22.06 units.

Step-by-step explanation:

To arrive at this answer, you can add the duration of the snowfall to the starting time to get time 1:10 PM

what is  duration?

Duration refers to the length of time that something lasts or continues. It is the amount of time between the start and end of an event or activity. For example, the duration of a movie could be two hours, the duration of a concert could be three hours,

In the given question,

If it starts snowing at 10:54 AM and it snows for two hours and 16 minutes without stopping, then the snow will stop at 1:10 PM.

To arrive at this answer, you can add the duration of the snowfall to the starting time.

10:54 AM + 2 hours 16 minutes = 1:10 PM

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The inequality that represents the possible values for the number of hours babysitting and the number of hours landscaping is 12b + 8l ≥ 140.

A mathematical inequality is a statement that two quantities or expressions are not equal. Inequalities are used to compare the relative sizes of numbers or variables and represent constraints or conditions in various contexts, such as optimization problems, systems of linear equations, or financial planning.

Here we have

Harper is working two summer jobs, making $12 per hour babysitting and $8 per hour landscaping. Harper must earn no less than $140 this week.  

Let Harper work for 'b' hours in the baby setting and l hours in landscaping

The amount earned by Haper by babysitting = $ 12 × b = 12b

The amount earned by Haper by landscaping = $ 8 × l = 8l

Here the amount should not be less than $ 140

=> 12b + 8l ≥ 140

Hence,

The inequality that represents the possible values for the number of hours babysitting and the number of hours landscaping is 12b + 8l ≥ 140.

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The surface area of the larger bag will increase by a factor of approximately 10.

What is surface area?

The surface area of ​​a three-dimensional object is the total area of ​​all its faces. In real life, we use the concept of the surface of different objects when wrapping something, painting something, and finally getting the best possible design when building things. increase. 

In real life, we use the concept of the surface of different objects when wrapping something, painting something, and finally getting the best possible design when building things.  

This is because the surface area of a three-dimensional object is proportional to the square of its linear dimensions.

Since the linear dimensions of the larger bag are 10 times that of the smaller bag (20 pounds vs. 2 pounds), the surface area of the larger bag will be roughly [tex]10^{2 }= 100[/tex] times that of the smaller bag.

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Answer:

Step-by-step explanation:

You just need to finish your proof by

adding what you were intending to prove.

m∠ ABC is equal to the m∠GHI.

You are correct so far.

Answer:

Step-by-step explanation:

[tex]C=2\pi r[/tex]

[tex]1=2\pi\time r[/tex]

[tex]r=\frac{1}{2\pi}[/tex]           ( divided both sides of equation by [tex]2\pi[/tex])

 [tex]r\approx 16cm[/tex]

The wheel's radius is approximately 16cm.

Answer:

If 85 customers can be served in 50 minutes, then we can find the number of minutes per customer by dividing 50 by 85: 50 minutes / 85 customers ≈ 0.588 minutes per customer To estimate the time required for 200 customers, we can multiply the time per customer by the number of customers: 0.588 minutes per customer x 200 customers ≈ 117.6 minutes Rounding to the nearest minute, we can estimate that it will take about 118 minutes for the lunch crowd of 200 customers to go through the cafeteria line.

Answer:

In any given circle, the measure of an inscribed angle is one-half the measure of the central angle that intercepts the same arc.

Answer:

approximately 1.81 meters.

Step-by-step explanation:

Let's call the height of the tree "h". We can set up a proportion based on the similar triangles formed by Nicole, her shadow, the tree, and the tree's shadow:

(height of Nicole) / (length of Nicole's shadow) = (height of tree) / (length of tree's shadow)

Substituting the given values, we get:

1.55 / 25.6 = h / 30.05

Simplifying and solving for h, we get:

h = (1.55 / 25.6) * 30.05

= 1.81181640625

Rounding to the nearest hundredth, we get:

h ≈ 1.81 meters

the height of the tree is approximately 1.81 meters.

Answer:

Let’s start by defining the variables:

Let x be the number of rings manufactured per day.

Let y be the number of chains manufactured per day.

The total number of rings and chains manufactured per day is at most 24. Therefore, we have:

x + y ≤ 24

It takes 1 hour to make a ring and 30 minutes to make a chain. Therefore, we have:

1x + 0.5y ≤ 16

The profit on each ring is Rs. 300 and that on each chain is Rs. 190. Therefore, the total profit can be calculated as:

Total Profit = 300x + 190y

We want to maximize the total profit. This can be done by solving the above equations using linear programming.

The solution to this problem is x = 12 and y = 12. Therefore, the firm should manufacture 12 rings and 12 chains per day to earn the maximum profit

The fraction of 5 liters that is 6,800 ml is 8/5 or 1 3/5 in mixed number form, which represents one whole 5-liter container plus 3/5 of another 5-liter container.6800 ml is equivalent to 6.8 liters. To find the fraction of 5 liters that is 6.8 liters, we can divide 6.8 by 5:

6.8 / 5 = 1 3/5

Therefore, the fraction of 5 liters which is 6800 ml is 1 3/5, which is a mixed number. This means that the total volume of 6.8 liters is equivalent to one whole 5-liter container, plus 3/5 of another 5-liter container.

To convert this mixed number into a fraction, we can first multiply the whole number by the denominator of the fraction and add the numerator to get the improper fraction:

1 * 5 + 3 = 8

The improper fraction is 8/5. This means that 6.8 liters are equivalent to 8/5 of 5 liters.

To reduce the fraction to the lowest terms, we can divide both the numerator and denominator by their greatest common factor, which is 1:

8/5 = 8 ÷ 1 / 5 ÷ 1 = 8/5

A fraction is a mathematical representation of a part of a whole. It is written in the form of a numerator and a denominator separated by a horizontal line, where the numerator represents the number of parts being considered, and the denominator represents the total number of parts in the whole.

For example, the fraction 3/4 represents three parts out of a total of four parts. It can also be represented visually using a diagram such as a pie chart or a number line.

Fractions can be added, subtracted, multiplied, and divided, and can also be converted between different forms, such as mixed numbers, improper fractions, and decimals. They are commonly used in a variety of mathematical applications, such as in measurements, ratios, and proportions, as well as in everyday life situations, such as dividing a pizza into slices or calculating discounts on a sale.

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The billing period is 31 days, so the average daily balance is $1,437.73.

Algebra is a branch of mathematics that deals with the study of mathematical symbols and the rules for manipulating these symbols to solve equations and understand relationships between variables. Algebra uses letters and symbols to represent quantities and their relationships, and it involves solving equations and inequalities, working with graphs and functions, and manipulating expressions.

Algebraic concepts and techniques are used extensively in many areas of science, engineering, economics, and other fields. It is a foundational subject in mathematics, and is often studied as a prerequisite for more advanced courses in mathematics and other sciences.

To find the average daily balance, we need to calculate the total balance over the billing period and divide it by the number of days in the billing period.

The total balance is:

10 days at $778.12 = $7,781.20

8 days at $1,876.00 = $15,008.00

3 days at $2,112.50 = $6,337.50

10 days at $1,544.31 = $15,443.10

Total balance = $44,569.80

The billing period is 31 days, so the average daily balance is:

$44,569.80 / 31 = $1,437.73

Rounding this to the nearest cent, we get an answer of $1,437.74, which is option C.

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Answer:

636.98

Step-by-step explanation:

[tex]704 * .13 = 91.52 (discount)\\704 - 91.52 = 612.48 (price after discount)\\612.48 * .04 = 24.4992 (tax)\\612.48 + 24.4992 = 636.9792(Price with tax)\\round= 636.98[/tex]

the sales tax applies to the price after the discount is applied

Number of students having one pet=27

A fraction is a number that represents a part of a whole or a ratio of two quantities. It is written in the form of one integer, called the numerator, written above a line, and another integer, called the denominator, written below the line. The denominator represents the total number of equal parts into which the whole has been divided, while the numerator represents the number of those parts that are being considered.

For example, the fraction 3/4 represents three out of four equal parts of a whole. The number 3 is the numerator, and 4 is the denominator.

Fraction of students having 1 pet=1/2

Number of students having one pet=53×1/2=26.5≈27

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The graph of the equation y = x² + 5 is symmetric with respect to the y-axis, the correct option is (b).

To determine the symmetry of the graph, we can substitute (-x) for x in the equation and simplify:

y = (-x)² + 5

y = x² + 5

Since the equation is unchanged when x is replaced by (-x), the graph is symmetric with respect to the y-axis.

We can also see that the graph is not symmetric with respect to the x-axis or the origin. To check for symmetry with respect to the x-axis, we can substitute (-y) for y in the equation:

(-y) = x² + 5

y = -(x² + 5)

The equation is not the same as the original equation, so the graph is not symmetric with respect to the x-axis. Similarly, to check for symmetry with respect to the origin, we can substitute (-x) and (-y) for x and y in the equation:

(-y) = (-x)² + 5

y = x² + 5

The equation is not the same as the original equation, so the graph is not symmetric with respect to the origin.

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The complete question is:

Determine whether the graph of the equation is symmetric with respect to the x-axis, y-axis, origin, or none of these

y = x² + 5

Check all the answers

a. The graph is symmetric with respect to the x-axis

b. The graph is symmetric with respect to the y-axis

c. The graph is symmetric with respect to the origin

d. none of the above

Answer:

14

Step-by-step explanation:

70/5 is 14

ez cheesey toes

We can start by creating a table to organize the information:

                  Likes Chocolate (c) Does Not Like Chocolate (~c) Total

Likes Sprinkles (s) 0.25                                                           0.40

Does Not Like Sprinkles (~s)            0.60

Total 0.70                                               0.30                       1.00        

We are given that 40% of friends like sprinkles, so we can fill in that cell of the table. We are also given that 25% of friends who like chocolate also like sprinkles, so we can fill in the cell for likes chocolate and likes sprinkles as 0.25.

To find the proportion of friends who like sprinkles and chocolate, we need to divide the number of friends who like both by the total number of friends who like sprinkles:

proportion = likes chocolate and sprinkles / likes sprinkles

proportion = 0.25 / 0.40

proportion = 0.625

So, approximately 62.5% of friends who like sprinkles also like chocolate.

The probability of drawing a second green ball, given that the first ball is green is equals to the 11/24.

We have specify the probabilities values for selecting balls without replacement,

Probability of choosing two green ball

= 11/50

Probability of choosing one green ball

= 12/25

We have to determine the probability of drawing a second green ball, given that the first ball is green. Let us consider the two events as

A = Probability of second ball green

B = probability first ball is green = 12/25

P (A and B) = P (Both balls are green)

= 11/50

Fir determining the required probability we use conditional probability formula,

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

Plug all known values in above formula,

P ( A/ B) = ( 11/50)/(12/25)

= (11 × 25)/(50×12)

= 11/24

Hence, required probability value is equals to 11/24.

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Step-by-step explanation:

To find the volume, you have to use the formula:

V = whl

Answer:

w = 8

Step-by-step explanation:

[tex] \frac{24}{w + 4} = \frac{w + 4}{6} [/tex]

[tex] {(w + 4)}^{2} = 144[/tex]

[tex]w + 4 = 12[/tex]

[tex]w = 8[/tex]

Answer:6

Step-by-step explanation:

there is a law for that:

5*12=x*(x+4)

60=x*x+4x

x*x+4x-60=0

(x+2)*(x+2)-64=0

(x+2)(x+2)=8*8

x+2=8

x=6

Answer:6

Step-by-step explanation:there is a law for that:5*12=x*(x+4)60=x*x+4xx*x+4x-60=0(x+2)*(x+2)-64=0(x+2)(x+2)=8*8x+2=8x=6

We can use the number line to see that 2 and any number greater than 3 are to the right of -4 1/2. By finding the Opposites of 2 and n and comparing them, we can write an inequality that is correct based on the number line.

The opposite of -4 1/2 is 4 1/2. This is because the opposite of a number is the number that is the same distance from 0 on the number line, but in the opposite direction. On a number line, -4 1/2 is to the left of 0, so its opposite, 4 1/2, is to the right of 0.

Looking at the number line, we can see that the number 2 is to the right of -4 1/2, but to the left of 4 1/2. Any number greater than 3, represented by n, is also to the right of -4 1/2.

The opposite of 2 is -2 and the opposite of n is -n. So, the inequality we can write is:

-n < -2

This is because -2 is to the left of -n on the number line. We can see that this inequality is correct on the number line because -2 is closer to 0 than -n, which means that -n is less than -2.

In summary, the opposite of -4 1/2 is 4 1/2, and it is related to -4 1/2 because they are the same distance from 0 on the number line, but in opposite directions. We can use the number line to see that 2 and any number greater than 3 are to the right of -4 1/2. By finding the opposites of 2 and n and comparing them, we can write an inequality that is correct based on the number line.

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