1. Find the midpoint of the segment with the endpoints: (5,9) and (-7-7)

Answer:

A. The area is \(78.54m^2\)

B. She needs to cover 1661.9 square feet of tiles for the base of the swimming pool

Step-by-step explanation:

Question A:

Let us assume that the leash is pegged to the ground using a stake. as a result, the dog can move around the stake. The path that the motion of the dog would trace is a circle, and the radius of the circle will be the length of the leash.

Since we know this, we can easily find the area of the circle using \(\pi r^2\)

Area of the circle = \(\pi \times 5 \times 5 = 78.54m^2\)

Question B

Dulce wants to cover the whole surface area of the floor of the circular swimming pool with tiles.

We already know that the swimming pool is circular, hence, the surface area of the base of the swimming pool will be the same as the area of a circle, with the same radius.

The area of the circle can be calculated using \(\pi r^2\)

Area of circle = \(\pi \times 23 \times 23 = 1661.9ft^2\)

Answer:

P= 2(8x+7)

Step-by-step explanation:

Hi! Thanks for choosing Brainly! My work is shown below.

350-14=336

336÷16=21

x=21

5(21)=105

Length = 105

Width = 63

Answer:

Well, I'm guessing you have to find the answer to the expression by plugging in y so...

Step-by-step explanation:

y = 5

10(5) + 6 =

50 + 6 =

56

The answer is 56

Answer:

The answer is 56

Step-by-step explanation:

The reason 56 is the answer because 10(5)=10x5=50

50+6=56

There you go enjoy your day and drink water ;)

The transformation of a function may involve any change. The function, g(x) that represents function f(x) moved 4 units downwards is g(x)=7x-1.

The transformation of a function may involve any change.

Usually, these can be shifted horizontally (by transforming inputs) or vertically (by transforming output), stretched (multiplying outputs or inputs) etc.

If the original function is y = f(x), assuming horizontal axis is input axis and vertical is for outputs, then:

Horizontal shift (also called phase shift):

Vertical shift:

Stretching:

Given the function f(x)=7x+3, now, if the function is moved down by d units, then the function can be transformed down wards by 4 units as shown below.

g(x) = f(x) moved down by 4 units

g(x) = f(x) - 4

g(x) = 7x + 3 - 4

g(x) = 7x - 1

Hence, the function, g(x) that represents function f(x) moved 4 units downwards is g(x)=7x-1.

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In the word problem , the number of students in each group is 16.

What is word problem?

Word problems are often described verbally as instances where a problem exists and one or more questions are posed, the solutions to which can be found by applying mathematical operations to the numerical information provided in the problem statement. Determining whether two provided statements are equal with respect to a collection of rewritings is known as a word problem in computational mathematics.

Here Number of student in first class = 21

Number of students in second class = 25

Number of students in third class = 18

Total number of students = 21+25+18 = 64

Now the group is split into 4. Then number of students in each group is,

=> 64 / 4 = 16

Hence the number of students in each group is 16.

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The representation of the conditional statement in this problem is given as follows:

p -> ~q.

A conditional statement is defined as follows:

p -> q.

The statement is read as follows:

If p, then q.

The statement in this problem is read as follows:

If p, then not q.

Hence the representation of the conditional statement in this problem is given as follows:

p -> ~q.

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Answer:

Step-by-step explanation:

he sold 36 so lets subtract  that from the 200 so he has to sell 164 more.

Now we have to figure out what times 24 is 164

It is about 7 because 24 x 7 = 28 and if he needs to sell mORE THAN it can't be 6 so it is 7 hours.

\(\frac{\sqrt{50}+\sqrt{18}+\sqrt{8}}{3} = \frac{10}{3} . \sqrt{2}\)

ok done. Thank to me :>

To find the intersection of A and B figure who has the bigger lower bounds and smaller upper bounds out of A and B.

The lower bound of A is -4 while the lower bound of B is (but not including) 1. So the lower bound will be (1.

The upper bound of A is 4 while the upper bound of B is 7. So the resulting upper bound will be 4].

Put these together and get (1,4].

Hope this helps :)

Residual Plot A indicates that the linear model is not appropriate because the fanned pattern shows that the model's predicting power decreases as the values of the explanatory variable increases. Residual Plot B indicates that the linear model is appropriate because the scattered residuals suggest a linear relationship.

Residual Plot A shows a fanned pattern which indicates that the linear model is not appropriate. This means that the model's predicting power decreases as the values of the explanatory variable increases. This suggests that the relationship between the dependent and independent variables is not linear and a different model may be necessary. Residual Plot B, on the other hand, shows a scattered pattern which suggests that the linear model is appropriate. The scattered pattern indicates that the data points are randomly distributed, which is a sign of a linear relationship. This indicates that the linear model is an appropriate fit for the data.

the complete question is :

Tell what each of the residual plots to the right indicates about the appropriateness of the linear model that was fit to the data. (a). Choose the best answer for residuals plot A. The fanned pattern indicates that the linear model is not appropriate. The model's predicting power decreases as the values of the explanatory variable increases. B. The fanned pattern indicates that the linear model is not appropriate. C. The model's predicting power increases as the values of the explanatory variable increases. The scattered residuals plot indicates an appropriate linear model. (b). Choose the best answer for residuals plot A. The scattered residuals plot indicates an appropriate linear model. B. The curved pattern in the residuals plot indicates that the linear model is not appropriate. The relationship is not linear. C. The fanned pattern indicates that the linear model is not appropriate. The model's predicting power decreases as the values of the explanatory variable increases.

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FMECA is a bottom-up hardware approach to risk assessment. It is an inductive, or data-driven, linking elements of a failure chain as follows: Effect of Failure, Failure Mode, and Causes/Mechanisms. To estimate the reliability of software, most software prediction models use the probability density function to predict "Mean Time To Failure."

FMECA is a systematic and structured analytical methodology used to identify potential failures in a system, equipment, process, or product, and to assess the effect and probability of those failures. FMECA stands for Failure Modes, Effects, and Criticality Analysis. FMECA is similar to FMEA (Failure Modes and Effects Analysis) in that it is used to identify failure modes and assess their risk.

However, FMECA goes beyond FMEA by analyzing the criticality of each failure mode. This makes it an effective tool for identifying the most significant failure modes and prioritizing them for corrective action. A Probability Density Function (PDF) is a function that describes the likelihood of a random variable taking on a particular value.

PDF is used in software prediction models to estimate the reliability of software by predicting "Mean Time To Failure" (MTTF). MTTF is the average time between failures of a system, equipment, process, or product.

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Answer:

$2,226.20

Step-by-step explanation:

\(a_{5}\) = 500e^5(0.03)

Answer:

number of gallons of water the family will use every morning = 50  gallons

Step-by-step explanation:

Every minutes 2.5 gallons of water flows from the shower . The amount of water disperse by the shower for every 1 minutes is 2.5 gallons. The family using the shower are 4 in numbers . And each of them spend on average of  5 minutes showering .

Let us find how many gallons of water will flow for 5 minutes since family member spent an average of 5 minutes bathing every morning/. Therefore,

2.5 gallons  = 1 minutes

? gallons  =  5 minutes

cross multiply

number of gallons of  water each family member uses every morning = 2.5 × 5 = 12.5 gallons

They are 4 family members in number since each person uses 12.5 gallons of water , 4 of them will use 4 × 12.5 = 50  gallons

Hey there!

The answer is D

We solve this by multiplying the exponents, and we get 15:

3 x 5 = 15

So, the answer is 2^15

Hope it helps and have a great day!

The probability that they will each win a game = 0.24

Given,

The probability that Trevor will win the game p = is 0.6

The formula we will use for calculating Trevor losing the game

⇒ q = 1 - p

Now the probability of Trevor losing the game ⇒ q = 1 - 0.6

= 0.4

Now the probability that Brian wins = 0.4 when Trevor loses and the probability that Trevor wins = 0.6 when Brian loses the game.

Now the four possibilities that will decide the outcome for 2 ping pong games-

Total probability = 0.36 + 0.24 + 0.24 + 0.16

= 1

Therefore, the probability that they each win one of the games = is 0.24

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You would need to deposit approximately $78,425.99 today in order to withdraw $14,000 a year for the next 7 years and receive an additional $28,000 in the last year, assuming an interest rate of 11%.

To calculate the present value of the complex cash flows, we need to find the present value of the annuity payments for the next 7 years and the present value of the additional amount in the last year. Let's calculate each part separately: Present Value of the Annuity Payments: The annuity payments are $14,000 per year for 7 years. We can calculate the present value using the formula for the present value of an ordinary annuity: PV = CF * [(1 - (1 + r)^(-n)) / r]. Where PV is the present value, CF is the cash flow per period, r is the interest rate, and n is the number of periods. Using an interest rate of 11% and 7 periods, we have: PV_annuity = $14,000 * [(1 - (1 + 0.11)^(-7)) / 0.11]

Present Value of the Additional Amount: The additional amount in the last year is $28,000. Since it is a single cash flow in the future, we can calculate its present value using the formula for the present value of a single amount: PV_single = CF / (1 + r)^n. Where PV_single is the present value, CF is the cash flow, r is the interest rate, and n is the number of periods. Using an interest rate of 11% and 6 periods (since it occurs in the 17th year), we have: PV_single = $28,000 / (1 + 0.11)^6. Total Present Value: The total present value is the sum of the present value of the annuity payments and the present value of the additional amount:

Total PV = PV_annuity + PV_single

Now let's calculate the values: PV_annuity = $14,000 * [(1 - (1 + 0.11)^(-7)) / 0.11] ≈ $66,698.92, PV_single = $28,000 / (1 + 0.11)^6 ≈ $11,727.07, Total PV = $66,698.92 + $11,727.07 ≈ $78,425.99. Therefore, you would need to deposit approximately $78,425.99 today in order to withdraw $14,000 a year for the next 7 years and receive an additional $28,000 in the last year, assuming an interest rate of 11%.

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\(\textit{surface area of a sphere}\\\\ SA=4\pi r^2~~ \begin{cases} r=radius\\[-0.5em] \hrulefill\\ r=9 \end{cases}\implies SA=4\pi (9)^2\implies SA=324\pi\)

Answer: yes,no,no,no

Step-by-step explanation:

34+12=46. Yes

34+7=41.  No

34+10=40.  No

34+4=38.  No

Answer:

12= yes

7= no

10= yes

4= no

Step-by-step explanation:

34 + 12= 46 is greater than 42

34 + 7= 41 is less that 42

34 + 10= 44 is greater than 42

34 + 4= 38 is less than 42

m= 70/27 simplified m= 2 16/27

Step-by-step explanation:

13(9-6m)+14(12m-8)

=117-78m+168m-112

=90m+5

Answer:

  (h)  ST, ∠S, ∠R

Step-by-step explanation:

In general the Law of Sines is applicable when you have two angles and a side. The solution of the triangle will be unique if the given side is opposite the largest angle.

These conditions are met in choice h.

  x/sin(S) = ST/sin(R)

  x = sin(S)·ST/sin(R) = sin(34°)·7/sin(92°)

  x ≈ 3.917

__

Additional comment

Here's why the other choices don't work.

  (f) These values would require sin(R) = 15.3/8.1×sin(38°) ≈ 1.163. No angle has a sine of this value, so no triangle can be formed with these values.

  (g) The given angle is between the given sides, so the Law of Cosines is needed for solving the triangle.

  (j) Three angles are given, but no sides are given. The lengths of the sides, including x, cannot be determined.

The functions best models this scenario is:

C(x) = 4.25 x ,   x<4

         3.75 x - 2,   x≥4

In mathematics, a function is represented as a rule that produces a distinct result for each input x. The collection of all the values that the function may input while it is defined is known as the domain. The entire set of values that the function's output can produce is referred to as the range. The set of values that could be a function's outputs is known as the co-domain.

Given:

A local city park rents kayaks for $4.25 per hour.

If a customer rents for four or more hours, the cost is only $3.75 per hour, plus a $1 processing fee.

If C(x) represents the total cost and x represents the number of rental hours.

If customer gets an additional $2 off the total fees

Until 3 hour the price per hour is $4.25

So, C(x) = 4.25x ,   x<4

If 4 hour or more the price per hour is 3.00

So, C(x) = 3.75 x - 2 , x ≥5

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Answer:

each person gets 40 pennies.

Step-by-step explanation:

Hudson AND 7 = 8

320 ÷ 8 = 40

Each person gets 40 pennies.

I hope this helped and if it did I would appreciate it if you marked me Brainliest. Thank you and have a nice day!

Each person gets 40 pennies.

The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.

For example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.

12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.

As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.

This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.

Given:

Hudson and 7 of his friends found a bag of pennies.

Total pennies= 320

So, Pennie get by each

=320 ÷ 8

= 40

Hence, Each person gets 40 pennies.

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Answer:

12x

Step-by-step explanation:

You need to solve the equation that's in the parenthesis first which would be 3x and then you would multiply that by 4 which would be your answer, 12x

Answer:

8x + 1

Step-by-step explanation:

This is called "distributive property". What you do here is you take the number on the left outside of the parentheses (4) and you distribute it to the 2x and 1.

4 times 2x is 8x. 4 times 1 is 4. So what you would get is 8x + 1. You can simpify anymore then that so that would be your finale answer.

Hope it helped! If you need help lmk :)

Using the reflection concept, the function is given by:

\(g(x) = 5x - 2\)

------------------

The function given is:

\(f(x) = -5x + 2\)

The reflection over the x-axis is:

\(g(x) = -f(x)\)

\(g(x) = -(-5x + 2)\)

\(g(x) = 5x - 2\)

Which is the desired function g.

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Answer:

<U=70

Step-by-step explanation:

Straight line=180 degrees

180-120

=60

So, we have 2 angles.

60 and 50

180=60+50+x

180=110+x

70=x

So, U=70

Hope this helps! :)

Answer: 640

Step-by-step explanation:

8 x 8 x 9 + 1/3 (8 x 8 x 3)

= 640  in cubic ft

The volume in cubic feet of space the tent occupies will be 640 cubic feet.

The steps are as follow:

Length = 8 ft.

Width = 8 ft.

height = 9 ft.

Length = width = 8 ft.

height = 3 ft.

volume of cuboid = length x width x height

volume of cuboid = 8 x 8 x 9

volume of cuboid = 576 cubic ft

volume of square pyramid = (length x length x height) / 3

volume of square pyramid = (8 x 8 x 3) / 3

volume of square pyramid = 64 cubic ft.

volume of cuboid + volume of square pyramid = 576 + 64

Total volume of space = 640 cubic feet

So the volume in cubic feet of space the tent occupies will be 640 cubic feet

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The event by definition that covers the entire sample space of the experiment is;

The number is even or less than 12

We are given the numbers in the set as;

set {2, 3, 4,... 10}.

Now, the numbers in the set are even and odd numbers from 2 to 10 with 10 being the highest and 2 being the lowest.

Thus the event that covers this sample space is simply a set of numbers that are even or less than 12.

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Answer:

Option C

Step-by-step explanation:

C. The number is even or less than 12.

The mean (μ) for the given binomial distribution is 0.50.

To calculate the mean (μ) of a binomial distribution, we multiply the number of trials (n) by the probability of success in a single trial (π). Let's examine each scenario in detail:

a. When n = 5 and π = 0.10:

μ = 5 * 0.10

  = 0.50

For this binomial distribution, with 5 trials and a success probability of 0.10, the mean (μ) is 0.50. This means that, on average, we would expect to have 0.50 successes per trial.

b. When n = 3 and π = 0.40:

μ = 3 * 0.40

  = 1.20

In this case, the mean (μ) of the binomial distribution is 1.20. It indicates that, on average, there would be 1.20 successes per trial when there are 3 trials and a success probability of 0.40.

c. When n = 5 and π = 0.50:

μ = 5 * 0.50

  = 2.50

For a binomial distribution with 5 trials and a success probability of 0.50, the mean (μ) is 2.50. This means that, on average, we would expect to have 2.50 successes per trial.

d. When n = 3 and π = 0.80:

μ = 3 * 0.80

  = 2.40

In this scenario, the mean (μ) of the binomial distribution is 2.40. It suggests that, on average, we would expect to have 2.40 successes per trial when there are 3 trials and a success probability of 0.80.

The mean (μ) provides a measure of the central tendency or the average number of successes in a binomial distribution based on the given parameters.

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the lateral area of the Louvre Pyramid is 1960.8 square meters, and the surface area is 3185.8 square meters.

ToTo calculate the lateral area of the Louvre Pyramid, we need to find the sum of the areas of all the triangular faces. Since the Louvre Pyramid has a square base, it has four identical triangular faces.

The area of a triangle can be calculated using the formula: 0.5 * base * height.

In this case, the base of each triangular face is equal to the length of one side of the square base, which is 35 meters. The height, or slant height, is given as 27.84 meters.

So, the lateral area of the Louvre Pyramid is:

Lateral Area = 4 * (0.5 * 35 * 27.84) = 1960.8 square meters.

To calculate the surface area of the Louvre Pyramid, we need to consider both the lateral area and the base area. The base area is simply the area of the square base, which is 35 meters * 35 meters = 1225 square meters.

Surface Area = Lateral Area + Base Area = 1960.8 square meters + 1225 square meters = 3185.8 square meters.

Therefore, the lateral area of the Louvre Pyramid is 1960.8 square meters, and the surface area is 3185.8 square meters.

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