1
16) Write an equation to represent three times the
sum of a number and two is twelve.

The midpoint of the segment with endpoints (9, 7, 3) and (5, 3, 2) is (7, 5, 2.5).

To find the distance between two points in three-dimensional space, we can use the formula:

Distance = \(\sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2 + (z_2 - z_1)^2}\)

Let's calculate the distance between the points (9, 7, 3) and (5, 3, 2):

Distance = \(\sqrt{(5 - 9)^2 + (3 - 7)^2 + (2 - 3)^2}\)

= (\(\sqrt{(-4)^2 + (-4)^2 + (-1)^2}\)

= \(\sqrt{(16 + 16 + 1)}\)

= \(\sqrt{33}\)

≈ 5.7 (rounded to the nearest tenth)

Therefore, the distance between the points (9, 7, 3) and (5, 3, 2) is approximately 5.7.

To find the midpoint of the segment with these endpoints, we can use the midpoint formula:

Midpoint = \((x_1 + x_2) / 2, (y_1 + y_2) / 2, (z_1 + z_2) / 2)\)

Let's calculate the midpoint:

Midpoint = ((9 + 5) / 2, (7 + 3) / 2, (3 + 2) / 2)

= (14 / 2, 10 / 2, 5 / 2)

= (7, 5, 2.5)

Therefore, the midpoint of the segment with endpoints (9, 7, 3) and (5, 3, 2) is (7, 5, 2.5).

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Answer:

f(-1) = |-1+4| - 5 = -2

f(0) = |0+4| -5 = -1

f(2) = |2+4| -5 = 1

A.

a number that can be written as a fraction but not as a decimal I think

Answer:

(-2,0)

Step-by-step explanation:

The point of intersection if the line and the x-axis is (-2,0)

The answer is b=18. To solve, multiply 6 by 3 to get 18. This is called doing the inverse operation. Since the equation is a division equation, we would have to multiply in order to find the missing variable.

The volume of the cone is approximately 58.107 ft³.

Given:

Radius, r = 3.4 ft

Height, h = 4.8 ft

The volume of a cone can be calculated using the formula V = (1/3)πr²h, where r is the radius of the base of the cone and h is the height of the cone.

Using the given values in the formula, we can calculate the volume of the cone:

V = (1/3)π(3.4²)(4.8)

= (1/3)π(11.56)(4.8)

= (1/3)(3.1416)(55.4688)

≈ 58.107 ft³

Therefore, the volume of the cone is approximately 58.107 ft³.

The correct answer is A) 58.107 ft³.

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a.) The type of distribution that is represented by the histogram is a left skewed histogram.

b.) The type of sampling this will represent is a simple random sampling.

A left skewed histogram can be defined as the type of distribution where by the tails is displayed towards the left of the histogram. This is represented in the histogram given in the diagram above.

A simple random sampling is defined as the type of sampling whereby every member of a population is given an equal chance to be selected. Since the information represented is the sample of an entire league, making another bigger league from it gives them all equal chance to be selected.

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The value of the expressions (3.683 × 10⁴) and (7.51 × 10¹²) in scientific notation is 4.9041 × 10⁻⁹. Then the correct option is B.

The division means the separation of something into different parts, sharing of something among different people, places, etc.

The expressions are (3.683 × 10⁴) and (7.51 × 10¹²).

We have to divide (3.683 × 10⁴) from (7.51 × 10¹²).

\(\dfrac{3.683 * 10^4}{7.51*10^{12}}\\\\0.4904*10^{-8}\\\\4.9041*10^{-9}\)

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\($\bar{AB}$\) is the correct name for the given line. [option c]

A line is called a line segment when it has two endpoints.

A line is called a ray when it has one initial point and the other end is denoted by an arrow stating it can be extended in one direction.

A line with two arrows can be extended in both directions generally called a line.

According to the question we have been given a diagram and we have to determine the correct name of the line AB with two points.

We know that when a line has two end points it is called a line segment.

∴ The correct name is \($\bar{AB}$\), option C

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The angle is 29.1234 degree

It is an application of trigonometric by which we can find the height, distance, and angle.

(x) = 122 m

Height of lighthouse (h) = 34

The base of a lighthouse that is 34 meters above sea level (l) = 34

The angle of elevation from the boat to the top of the lighthouse.

Total height of the tower from the sea level = 34 + 34

Total height of the tower from the sea level = 68

Then

\(\begin{aligned} tan \theta &= \dfrac{Total height of tower from the sea level}{Distance between boat and light and lighthouse} \\tan \theta &= \dfrac{68}{122} \\\theta &= tan^{-1} (\dfrac{68}{122} )\\\theta &= 29.132429^{o} \\\end{aligned}\)

Thus, the angle is 29.1234 degree

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16 is the answer edge 2022

Answer:

x=3

Step-by-step explanation:

1. Rearrange terms

1 - 6x = -17

-6x + 1 = -17

2. Subtract 1 from both sides of the equation (we want to get rid of 1)

3. Simplify

In the end, you should get x=3.

Answer:

Step-by-step explanation:

This is a trick question,  about the red marks again.   those marks are important b/c they tell you that the lengths are the same, so that the angles MUST also be the same.  That is  ,  D and E are equal

so set up your equations with that info

180 = 84 +2p

now use your algebra skillz to solve

180-84 / 2 = p

96/2 = p

48 = p

see??

We can use trigonometry to solve this problem. Let the length of the rope be x. Then, we can draw a right triangle where the height of the tree is the opposite side, the length of the rope is the hypotenuse, and the angle of elevation is 60 degrees. The adjacent side can be found using the trigonometric function cosine:

cos 60° = adjacent / hypotenuse

1/2 = adjacent / x

Multiplying both sides by x, we get:

x/2 = adjacent

To find the length of the hypotenuse, we can use the Pythagorean theorem:

hypotenuse^2 = adjacent^2 + opposite^2

Substituting in the values we know, we get:

x^2 = (x/2)^2 + (9√5)^2

Simplifying the right side, we get:

x^2 = x^2/4 + 405

Multiplying both sides by 4, we get:

4x^2 = x^2 + 1620

Subtracting x^2 from both sides, we get:

3x^2 = 1620

Dividing both sides by 3, we get:

x^2 = 540

Taking the square root of both sides, we get:

x = √540 = 6√60

Therefore, the length of the rope that Rachel needs to hang the piñata is 6√60 feet. Rounded to the nearest tenth, this is approximately 74.1 feet.

Answer:

  43.4 ft

Step-by-step explanation:

You want to know the length of rope needed to hang a piñata from the top of a tree that is 9√5 feet tall, if the rope makes an angle of 60° with the ground.

The hypotenuse of the triangle can be found by considering the sine of the 60° angle. The sine of the angle is given by ...

  Sin = Opposite/Hypotenuse

Then the hypotenuse of the triangle can be found from ...

  sin(60°) = tree height / hypotenuse

  hypotenuse = tree height/sin(60°) = 9√5/sin(60°)

We presume the length of rope Rachel wants is the total of the lengths from the anchor point to the tree top and back to the ground. That will be ...

  9√5 + 9√5/sin(60°) = 9√5·(1 +1/sin(60°)) ≈ 43.4 . . . . feet

Rachel needs about 43.4 feet of rope to hang the piñata.

Step-by-step explanation:

Line AB has a Slope of -20/5 or -4. Since the line that is being calculated is parallel it has the same slope. We can plug this Slope and the given point of the line into the point Slope equation for an equation of y - 3 = -4 (x + 1).

Answer:

\( Formula\: v =\frac{s}{t} \\\\

v = 60\: mph\)

Step-by-step explanation:

Formula:

\(v = \frac{s}{t} \: mph \\ \\ when \: t = 3 \: and \: s = 180 \\ \\ v = \frac{180}{3} \\ \\ v = 60 \: mph\)

Answer:

see explanation

Step-by-step explanation:

The formula for v is

v = \(\frac{s}{t}\)

When t = 3 and s = 180 , then

v = \(\frac{180}{3}\) = 60 mph

Answer:

a) 80 ml

b) 450 cm³

Step-by-step explanation:

A) solution

1 cm³ = 1 ml

80 cm³ = 80 ml

B) solution

1 ml = 1 cm³

450 ml = 450 cm³

Answer:

9/7is the chance of coming red ball

Answer:

the answer to your question is 9/7 chances are there for the red marbles

hope this helps

A. The Taylor series for $\frac{1}{\sqrt{1+x^2}}$ about 0, also known as the Maclaurin series, can be found by expanding the function as a power series.

The first three non-zero terms are: $1 - \frac{1}{2}x^2 + \frac{3}{8}x^4$. The general term in the series is $\frac{(-1)^n(2n-1)!!}{2^nn!}x^{2n}$, where $(2n-1)!!$ represents the double factorial.

B. The Taylor series for $x^2 \sin(x^2) - x^4$ about 0 can also be found by expanding the function as a power series. The first three non-zero terms are: $0 + 2x^4 - \frac{2}{3}x^8$. The general term in the series is $\frac{(-1)^n(2n)!}{(2n+1)!}x^{4n}$, where $(2n)!$ represents the factorial.

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Answer:

0.01428 hope this is correct and it helps!

Conditions I and II must be met in order to use the formula for the standard deviation of the sampling distribution for sample mean. The correct option is E.

Let's first understand what the formula for the standard deviation of the sampling distribution for sample mean is. This formula is used to calculate the standard deviation of the means of all possible samples of a certain size that can be taken from a population. It is given by the equation: σ=σ/√. Where σ is the standard deviation of the sampling distribution for sample mean, σ is the population standard deviation, and is the sample size. Condition I states that the population's distribution is approximately Normal. This condition is important because if the population's distribution is not Normal, the sample means may not follow a Normal distribution, and the formula for the standard deviation of the sampling distribution for sample mean may not be accurate.

Conditions I and II must be met to use the formula for the standard deviation of the sampling distribution for sample mean. If only one of these conditions is met, the formula may not be accurate. If both conditions are met, the formula can be used to calculate the standard deviation of the sampling distribution for sample mean.

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The equivalent annual cost (EAC) of Model A is $2,332.60, while the EAC of Model B is $2,094.81. The EAC represents the annual cost of owning and operating the motorcycle over its expected life, taking into account the initial cost, annual maintenance costs, and the opportunity cost of capital.

To calculate the EAC, we use the formula:

EAC = (C + (M × A)) × D

Where:

C = Initial cost

M = Annual maintenance cost

A = Annuity factor

D = Discount factor

For Model A, the initial cost is $8,600 and the annual maintenance cost is $840. The expected life of the motorcycle is 6 years, so the annuity factor is calculated as follows: A = (1 - (1 + r)^(-n)) / r, where r is the discount rate (10% or 0.10) and n is the number of years (6). The annuity factor for Model A is 4.1119. The discount factor is calculated as (1 + r)^(-n), which is 0.5645. Plugging these values into the formula, we get EAC = ($8,600 + ($840 × 4.1119)) × 0.5645 = $2,332.60.

For Model B, the initial cost is $15,100 and the annual maintenance cost is $690. The expected life of the motorcycle is 10 years, so the annuity factor is calculated as A = (1 - (1 + r)^(-n)) / r, where r is 0.10 and n is 10. The annuity factor for Model B is 7.6068. The discount factor is calculated as (1 + r)^(-n), which is 0.3855. Plugging these values into the formula, we get EAC = ($15,100 + ($690 × 7.6068)) × 0.3855 = $2,094.81.

Therefore, the equivalent annual cost for Model A is $2,332.60 and for Model B is $2,094.81. Based on these calculations, Model B has a lower EAC and would be the more cost-effective choice for the family pizza parlor in terms of annual costs.

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The equations represents that 5 less than 10 times a number is 15 is option A) 10n - 5 = 15

Equation with polynomials on both sides is known as an algebraic equation or polynomial equation (see also system of polynomial equations). They are further divided into levels: linear formula for level one.

The statement "5 less than 10 times a number is 15" is one that can be translated into an equation.

For example, Let's use the variable 'n' to stand for the unknown number.

The phrase "10 times a number" can be shown as 10n.

The statement "5 less than 10 times a number" implies subtracting 5 from 10n, and that gives us 10n - 5.

So, one have the equation 10n - 5 = 15.

This equation implies that "10 times a number, reduced by 5, is equal to 15." It stands for the relationship shown in the original statement.

Therefore, option A) 10n - 5 = 15 is the correct equation that stand for the given scenario.

To simplify it:

10n - 5 = 15

10n= 15 +5

10n =20

n = 20/10

n = 2

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Answer: 16,406,000

Step-by-step explanation:

First, multiply 6.31 and 2.6 to get 16.406. Then, add 10^5 and 10^1 to get 10^6.

It should now look like this, 16.406 x 10^6

The number has to be between 10 and 1 so you need to make it smaller by moving the decimal point over once to the left. It should now be 1.6406.  But, you can't leave the exponent at 10^6 so, you need to make it bigger since you made the number smaller.

Your answer should now look like this, 1.6406 x 10^7

Since it needs to be in standard form, move the decimal point 7 times to the right since it is a positive number.

So, your answer is: 16,406,000

Answer:

Visual artifacts are anomalies apparent during visual representation as in digital graphics and other forms of imagery, especially photography and microscopy.

\(\huge\text{Hey there!}\)

\(\huge\textbf{Question \#1.}\)

\(\mathsf{f(x) = -2x - 9}\\\mathsf{f(x) = -2(-11) - 9}\\\mathsf{f(x) = 22 - 9}\\\mathsf{f(x) = 13}\\\\\\\huge\text{Therefore, your answer should be:}\\\huge\boxed{\mathsf{f(x) = 13}}\huge\checkmark\)

\(\huge\textbf{Question \#2.}\)

\(\mathsf{y = 4x - 1}\\\mathsf{y = 4(\dfrac{7}{2}) - 1}\\\\\mathsf{y = \dfrac{4}{1}(\dfrac{7}{2}) - 1}\\\\\mathsf{y = \dfrac{4\times7}{1\times2} - 1}\\\\\mathsf{y = \dfrac{28}{2} - 1}\\\\\mathsf{y = 14 - 1}\\\\\mathsf{y = 13}\\\\\huge\text{Therefore, your answer should be:}\\\huge\\\boxed{\mathsf{y = 13}}\huge\checkmark\)

\(\huge\text{Good luck on your assignment \& enjoy your day!}\)

What we know:

Lets first convert the mixed partial fraction --> improper fraction

       --> for easier calculation

After Conversion:

To find how many scoops of birdseed will Samantha put into the feeder we must:

  --> divide the total capacity by the scoop's capacity

       --> find the number of scoops:

Solve:

  \(Total-number- of -scoops = \frac{\frac{14}{5} }{\frac{7}{10} } =\frac{14}{5} *\frac{10}{7} =\frac{14*10}{5*7} =\frac{14}{7} *\frac{10}{5} =2*2=4\)

Thus the total number of scoops that Samantha will put into the bird feeder is 4

Answer: 4

Hope that helps!

To find the approximate number of batches to the nearest whole number, given that 280,000 units are to be made, and the cost to store one unit for one year is $2 and the setup cost to produce each batch is $460, we have to calculate the Economic Order Quantity (EOQ).

EOQ is the order quantity that minimizes the total inventory costs. It is calculated by using the following formula:

EOQ = √(2DS/H)

Where, D = demand rate per year

S = setup cost per order H = holding cost per unit per year

Given that theB (D) is 280,000, setup cost (S) is $460, and holding cost (H) is $2, we can find the EOQ by putting these values in the formula:

EOQ = √(2DS/H)

EOQ = √(2 × 280,000 × 460/2)

EOQ = 920

Therefore, the approximate number of batches to the nearest whole number would be

280,000/920 = 304.34 ≈ 304.

Hence, the answer is 304 batches.

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Suppose $2000 is deposited in a bank account with an annual compound interest rate of 3%. After two years, we will have accumulated 121.80 in interest on your initial 2000 deposit.

Compound interest is, to put it simply, interest that is earned on interest. Compound interest is interest that is earned on both the initial principal and interest that builds up over time in a savings account.

There may be a difference in the timing of when interest is paid out and compounded. For instance, interest on a savings account may be paid monthly but compounded daily. The account balance plus any interest that has accrued but has not yet been paid out are used by the bank to determine your daily interest earnings.

For the above question:

Account Balance = Principal x (1 + interest rate (decimal))^number of the years. With given information this is:  \(2000 (1.03)^2\) = 2,121.80.  So we will earn 121.80 in interest after the 2 years on your original 2000 deposit.

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Answer:

18.) 10x

20.) k - 24

22.) 12 - 9

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

\(\frac{2}{3}\) × 63 = 2 × 21 = 42

Her prediction was correct as \(\frac{2}{3}\) of 63 = 42 → B