This shape is made up of one half-circle attached to a square with side lengths 16 inches. You can use 3.14 as an approximation for π.

What is the approximate perimeter of the entire shape? Solve on paper, and enter your answer on Zearn. You can use your Zearn calculator to help you solve.

500,000

                              OR

five hundred thousand

Step-by-step explanation:

to create a vertical asymptote (a tangent of the curve in infinity) at x = n we define e.g.

f(x) = 1/(x - n)

the cost x gets to n, the much closer the function gets to 1/0 and infinity.

so, the part to get us the asymptote at x = -4 is

1/(x + 4)

the part to get us the asymptote at x = 2 is

1/(x - 2)

and the part that gives us a zero solution at x = 3 is

(x - 3)

because that is what the point (3, 0) is : when x = 3. then y = 0.

now we only need to multiply all 3 parts to combine them :

f(x) = 1/(x + 4) × 1/(x - 2) × (x - 3)

The principal square root of √64 is 8, √100 is 10,√169 is 13, √196 is 14 and √256 is 16.

According to the question,

We have the following information:

1. √64

2. √100

3. √169

4. √196

5. √256

Now, in order to find the principal square root of these numbers, we will express these numbers in the form of the product of numbers then we will find the square root.

1) [tex]\sqrt{64}[/tex]

We have the following expression:

[tex]\sqrt{2*2*2*2*2*2}[/tex]

2*2*2

8

2) [tex]\sqrt{100}[/tex]

[tex]\sqrt{2*2*5*5}[/tex]

2*5

10

3) [tex]\sqrt{169}[/tex]

[tex]\sqrt{13*13}[/tex]

13

4) [tex]\sqrt{196}[/tex]

[tex]\sqrt{2*2*7*7}[/tex]

2*7

14

5) [tex]\sqrt{256}[/tex]

[tex]\sqrt{2*2*8*8}[/tex]

2*8

16

Hence, the principal square root of √64 is 8, √100 is 10,√169 is 13, √196 is 14 and √256 is 16.

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Answer:

a = ± [tex]\sqrt{\frac{2d-2c}{b} }[/tex]

Step-by-step explanation:

c + [tex]\frac{1}{2}[/tex] a²b = d ( multiply through by 2 to clear the fraction )

2c + a²b = 2d ( subtract 2c from both sides )

a²b = 2d - 2c ( divide both sides by b )

a² = [tex]\frac{2d-2c}{b}[/tex] ( take square root of both sides )

a = ± [tex]\sqrt{\frac{2d-2c}{b} }[/tex]

The interest is $57 on a $1900 investment at 3% for 1 year

Given,

In the question:

Principal = $1900

Rate of interest = 3%

Time = 1

Now, According to the question:

Principal = $1900

Rate of interest = 3%

Time = 1

Substitute:

Principal = $1900

Rate of interest = 3%

Time = 1  into formula Interest = P x R x T

I = 1900 x 0.03 x 1

Calculate the product or quotient:

I = 57

Hence, The interest is $57 on a $1900 investment at 3% for 1 year.

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Answer:

que tienes que realizar no se entiende tu pregunta lo siento

60 different combinations of cone, ice cream, and topping are possible.

The combination is defined as an arrangement of objects where the order in which the objects are selected does not matter.

Given that, an ice cream shop offers customers 2 different types of cones, 5 different flavours of ice cream, and 6 different toppings

Total combination = 2*5*6 = 60

Hence, there are 60 different combinations of cone, ice cream, and topping are possible.

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Answer:

x=7

Step-by-step explanation:

2(2x - 7) = 14

Solve for x

Divide each side by 2

2/2(2x - 7) = 14/2

2x-7 = 7

Add 7 to each side

2x-7+7 = 7+7

2x = 14

Divide each side by 2

2x/2 = 14/2

x = 7

Answer:

b) x = 7

Step-by-step explanation:

Given equation,

→ 2(2x - 7) = 14

Now the value of x will be,

→ 2(2x - 7) = 14

→ 4x - 14 = 14

→ 4x = 14 + 14

→ x = 28/4

→ [ x = 7 ]

Hence, the value of x is 7.

We know:

Equivalent equations are algebraic equations that have identical solutions.

We have the equation:

[tex]2x+\dfrac{1}{3}x=21[/tex]

multiply bot sides by 3

[tex]3\cdot2x+3\!\!\!\!\diagup\cdot\dfrac{1}{3\!\!\!\!\diagup}x=3\cdot21\\\\6x+x=63\\\\7x=63[/tex]

divide both sides by 7

[tex]\dfrac{7\!\!\!\!\diagup x }{7\!\!\!\!\diagup}=\dfrac{63}{7}\\\\\boxed{x=9}[/tex]

Answer:

x = 9

Step-by-step explanation:

Given equation,

→ 2x + (1/3)x = 21

Now the value of x will be,

→ 2x + (1/3)x = 21

→ (6/3)x + (1/3)x = 21

→ (7/3)x = 21

→ 7x = 21 × 3

→ 7x = 63

→ x = 63/7

→ [ x = 9 ]

Hence, the value of x is 9.

Neither.

Parallel lines (when the line continues), never intersects. Perpendicular lines intersect and create a 90 degree angle.

The angle created by the lines intersect but do not create a 90 degree angle.

64 unique extensions are there with no repeated digits.

Combinations are decisions that are made by choosing some or all of a group of objects, regardless of how they are arranged.

For the 3-digit area code, the first digit can be any digit from 2 through 9, and each of the two digits that follow can be any digit from 0 through 9. That's a total of 8 × 10 × 10 = 800 different combinations.

Given:

A school district telephone system has three-digit extensions.

So,  first digit cannot be zero then we have possibility of total 8 digits.

and the last number is a nine.

unique extensions are there with no repeated digits

= 8 x 8 x 1

= 64

Hence, 64 unique extensions are there with no repeated digits.

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Answer:

4 to 7 percent.

Step-by-step explanation:

We use the traditional oil-to-vinegar ratio: three parts oil to one part vinegar/acid, but this ratio can vary depending on your choice of vinegar/acid and personal taste. The less acidic the vinegar/acid, the less oil you need. It's all about balance!

a) Exam 2 has the strongest correlation with the exam grade, according to the graphs below. Since the points are arranged in a positive band that extends from bottom left to upper right.

b) Because there is a positive association and there is little dispersion of points, the correlation between exams and the final exam is higher.

The link between variables is described by correlation. It can be characterized as strong or weak, as well as positively or negatively.

Given,

The two scatterplots below show the relationship between final and mid-semester exam grades recorded during several years for a statistics course at a university.

a) Exam 2 has the strongest correlation with the exam grade, according to the graphs below. Since the points are arranged in a positive band that extends from bottom left to upper right.

b) Because there is a positive association and there is little dispersion of points, the correlation between exams and the final exam is higher.

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The expression that shows the number of baseball cards is 12n

An algebraic expression in mathematics is an expression that is made up of letters and numbers, along with algebraic operations (addition, subtraction, multiplication, etc). Expressions are made up of terms

Given that: Carter bought p packs of baseball cards and there are 12 cards in each pack

To know the number of baseball cards, we have to multiply the number of packs by the number of cards in each pack:

Since the number of packs = n and the number of cards in each pack = 12.

Thus, total number of baseball cards = 12 x n = 12n

Therefore, the expression that shows how many baseball cards Carter bought is 12n

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The magnitude of earthquake on seismograph will be 3 .

What is seismograph?

A seismograph is a device that measures and records crucial data concerning earthquakes. Electromagnetic sensors in seismographs convert ground vibrations into electrical voltages. Seismograms are records that a seismograph generates and displays .

Main Body:

formula given : M = ㏒₁₀T           where T =1000

substituting the value of T in the formula

M = ㏒₁₀ 1000

M = ㏒₁₀10³

M = 3㏒₁₀           (㏒₁₀Xᵃ = a㏒₁₀)

M = 3                  (㏒₁₀10 =1)

Therefore the magnitude of the earthquake is 3.

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As sample size grows, sample variance (variation among observations) grows, while sample mean variance (standard error) decreases, and therefore precision grows.

The normal curve approximates the sample distribution of averages as well as proportions from just a large number of distinct experiments.

Thus, the better the normal approximation here to sampling distribution for sample mean, the greater the sample size.

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Answer: False

Step-by-step explanation:The potential energy will decrease and the kinetic will increase

The number of way in which bride can rank the three Djs out of 6 is 120.

There are several different ways we might rank the three DJs.

Therefore, we must identify the permutation P. (6,3).

ⁿPₓ = n!/(n - x)!

⁶P₃ = 6!(6-3)!

⁶P₃ = 6×5×4

⁶P₃ = 120

Thus, the number of way in which bride can select the three Djs out of 6 is 120.

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Answer:

y = 5.60x + 35.80

Step-by-step explanation:

trust

Answer:45

Step-by-step explanation:

75*3/5

The graph of the linear function f(x) = 3x + 4 is plotted.

For the given question, the function is given as;

f(x) = 3x + 4

Put x = 0, f(x ) = 4 ;(0, 4)

Put f(x) = 0, x = -1.33 ;(-1.33, 0)

Plot the points of the coordinate axis as shown in the graph.

Thus, the graph of the linear function f(x) = 3x + 4 is plotted.

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Answer:

Step-by-step explanation:

x² + (x + 2)² = (x + 3)²

x² + x² + 4x + 4 = x² + 6x + 9

x² - 2x - 5 = 0

[tex]x_{1}[/tex] = [tex]\frac{-(-2)+\sqrt{4+20} }{2}[/tex] = 1 + √6 ≈ 1 + 2.45 = 3.45 units

[tex]x_{2}[/tex] = [tex]\frac{-(-2)-\sqrt{4+20} }{2}[/tex] = 1 - √6 < 0 can not be solution of the given problem.

x ≈ 3.4 units

x + 2 ≈ 5.4 units

x + 3 ≈ 6.4 units

With the help of probability we can conclude our answer.

acc to our question-

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A sample should be 47 to be taken if the desired margin of error is two minutes at a 95% level of confidence

Given information:

A medical facility wants to determine the average amount of time each patient spends with a staff member while creating patient appointment schedules. utilize a planned value of seven minutes for the population's standard deviation.

б=7, ME=2

95% Confidence (to the nearest whole number):

For 95% confidence interval z-critical value is z_{c}=1.96. So

n = (z * б /ME )² = (1.96* 7/ 2)= 47.05

The Requried sample size is 47

If the acceptable margin of error is two minutes at a 95% level of confidence, then a sample of 47 should be taken.

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Answer:

B

Step-by-step explanation:

f(-1)=(-1)²-3(-1)-4

f(-1)=1-3(-1)-4

f(-1)=1+3-4

f(-1)=0

Do this same process with all the equations until you find one that doesn't equal 0.

-x/y is equivalent to x/-y according to the division rule a/b*d/c=a/b*c/d.

In division, a number is divided, which is an easy operation. In mathematics, division is the division of a sum into equal parts. A group of 20 people, for instance, could be divided into four groups of 5, five groups of 4, and so on. Division's opposite is multiplication. If 3 groups of 4 add up to 12, then 4 are in each group when 12 is divided into 3 equal groups.

According to the division rule a/b/c/d=a/b*d/c, 

=1/(y/-x)

=1*-x/y

=-x/y

-x/y is equivalent to x/-y according to the division rule a/b÷c/d=a/b*d/c.

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Answer: The general form for an equation that models a wave is this: (+/-) a (sin/cos) (2π(x-p)/T), where a is your amplitude, p is your phase shift, and T is your period. The (+/-) becomes + if the graph is to start in the positive direction, and - if it is to start in the negative direction. The (sin/cos) becomes sine if the graph is to start at 0 before being shifted, while it becomes cosine if the graph is to start at the amplitude.

In this case, our graph starts out negative, and at the amplitude with no phase shift, so the (+/-) becomes -, (sin/cos) becomes cos, and p is zero. Substituting in the values given in the problem, a = 9 and T = 7, we find this equation: d = -9cos(2πt/7).

Step-by-step explanation:

The difference in solving equations with cubes and squares is of one additional step of reducing the cubic equation to a quadratic equation. In this way, a quadratic equation (variable raised to power 2) is separated from the given cubic equation.

For example, x3+3x2+x1+3=0 can be reduced to (x+3) and (x2+1), where the later one is a quadratic equation. This step is never part of a squared equation’s solution.

The similarity is from here onwards. Quadratic equations are solved similarly in both cases. Although there are multiple possibilities for roots differing from each other in nature. But once a quadratic equation is developed, the solution from there onwards is mostly generic.

You can refer to the following formula for solving quadratic equations efficiently:

x= -bb2-4ac2a

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