Find the length of the path r(t) = 7 ND No No 3 7+2 3 2+2 from t = 1 to t = 3. 1

Answers

Answer 1

To find the length of the path r(t) = 7, ND, No, No, 3, 7+2, 3, 2+2 from t = 1 to t = 3, we need to calculate the sum of the lengths of each segment of the path.

Let's break down the given path into its individual segments:

Segment 1: 7 (length = |7 - ND| = 1)

Segment 2: ND (length = |ND - No| = 1)

Segment 3: No (length = |No - No| = 0)

Segment 4: No (length = |No - 3| = 3)

Segment 5: 3 (length = |3 - 7+2| = 6)

Segment 6: 7+2 (length = |7+2 - 3| = 6)

Segment 7: 3 (length = |3 - 2+2| = 1)

Now, let's calculate the total length of the path by summing up the lengths of each segment:

Total length = 1 + 1 + 0 + 3 + 6 + 6 + 1 = 18

Therefore, the length of the path from t = 1 to t = 3 is 18 units.

To know more about length of the path, visit :

https://brainly.com/question/32048628

#SPJ11

Related Questions

How is circumference different than area?

Answers

Answer:

Circumference is the length around a circle (2Pr) while area is a measure of square units inside the circle (Pr2).

Step-by-step explanation:

hope it helps!

Let me give you an example.

Consider you have a circular field.

Circumference: Putting a fence around the field. This is measuring distance.

Area: Ploughing the field entirely. How much space INSIDE THE CIRCLE do you need to plow? That is the area.

How many seconds are there in 203060708030506040 hours?

Answers

Answer:

in 203060708030506040 hours there are 203060708030506040×60 seconds

B) Find the number of 7-character (capital letter or digit) license plates possible if no character can repeat and: there are no further restrictions, the first 3 characters are letters and the last 4 are numbers, letters and numbers alternate, for example A3B9DZQ or 0730449. Marks)

Answers

For the first scenario where there are no further restrictions, we have 26 capital letters and 10 digits to choose from for each of the 7 characters. Therefore, the total number of possible license plates is:

(26+10) x (25+9) x (24+8) x (23+7) x (22+6) x (21+5) x (20+4) = 18,994,040,000

For the second scenario where the first 3 characters are letters and the last 4 are numbers, we have 26 choices for the first character, 25 choices for the second character, and 24 choices for the third character. For the last 4 characters, we have 10 choices for the first and third characters (since they must be numbers) and 26 choices for the second and fourth characters (since they must be letters). Therefore, the total number of possible license plates is:

26 x 25 x 24 x 10 x 26 x 10 x 26 = 45,697,920,000

For the third scenario where letters and numbers alternate, we have 26 choices for the first letter and 10 choices for the first number. For the remaining 5 characters, we have 25 choices for the letters and 9 choices for the numbers (since we cannot repeat the previous character). Therefore, the total number of possible license plates is:

26 x 10 x 25 x 9 x 25 x 9 x 25 = 45,562,500,000

To learn more about characters : brainly.com/question/13141964

#SPJ11

Natalie can bike 10 kilometers per hour faster than Aaron. By the time
Natalie travels 60 kilometers, Aaron has gone 40 kilometers. Find the speed
of Natalie and Aaron.

Answers

The speed is 99 kilometers. U welcome

help me pls , thanks :)
its about funtions and i rlly need help on this

Answers

The given relations are:

1) It is a function.

2) not a function.

3)it is a function.

4) not a function.

Are the relations functions or not?

A function is a relation that maps inputs into outputs, such that each output needs to be mapped into a single input.

1) For example, the first relation each input (left row) is mapped into a single output, thus, it is a function.

2) Here theinput 9 is mapped into two different outputs, then it is not a function.

3) The notation used here is (input, output), so we can see that no input is repeated,so it is a functon.

4) The input 9 is mapped into 3 different outputs, then it is not a function.

Learn more about functions at:

https://brainly.com/question/2328150

#SPJ1

Obtain the equation for the least-squares regression line for this data. What is the average chance of admission for a student who scores a 305 on the GRE?
a) 45% (or 0.45)
b) 51% (or 0.51)
c) 61% (or 0.61)
d) 70% (or 0.71)

Answers

The equation for the least-squares regression line for the given data and the average chance of admission for a student who scores a 305 on the GRE are options b) 51% (or 0.51).

To find the equation for the least-squares regression line, we need to first calculate the slope and y-intercept. Let x be the predictor variable (GRE score) and y be the response variable (admission chance). Then, we have:

n = 10 (number of data points)

Σx = 3100

Σy = 52.1

Σxy = 161750

Σx^2 = 96100

Σy^2 = 24.71

The slope, b, can be calculated as:

b = (nΣxy - ΣxΣy) / (nΣx^2 - Σx^2)

= (10(161750) - (3100)(52.1)) / (10(96100) - 3100^2)

= 0.0644

The y-intercept, a, can be calculated as:

a = (Σy - bΣx) / n

= (52.1 - (0.0644)(3100)) / 10

= 0.336

Therefore, the equation for the least-squares regression line is:

y = 0.0644x + 0.336

To find the average chance of admission for a student who scores a 305 on the GRE, we simply substitute x = 305 into the equation and solve for y:

y = 0.0644(305) + 0.336

= 0.5136

So the average chance of admission for a student who scores a 305 on the GRE is b) 51% (or 0.51).

For more questions like Regression click the link below:

https://brainly.com/question/28178214

#SPJ11

Question mode multiple choice question despite the large number of media options today, the average millennial still blank______ for an average of 10 hours every week.

Answers

the answer is it still needs

HELP ASAP GIVING BRAINLIEST!!

which equation has infinitely many solutions?

A. 3x - 2=2-3x

B. x+ 3x+6=6+4x

C. 2x+7x-5=-9x+5

D. 4x-5x+3=-5x+4x-3

Answers

Answer:

D -4x - 5x + 3 = -5x + 4x - 3

Dora rents a party room for $70. She pays $5 per guest for
party favors. The expression 70+5g represents the total
cost for a party with g guests. Find the total cost for a party
with 9 guests.

Answers

Answer: $115

Step-by-step explanation:

From the question, we are informed that the expression that represents the total cost for a party with g guests was given as:

= 70 + 5g

Therefore, the total cost for a party

with 9 guests will be:

= 70 + 5g

= 70 + 5(9)

= 70 + 45

= $115

find the equation of the line passing through (-4,1) and perpendicular to the line y=x/4+2

Answers

Answer:

y = -4x

Step-by-step explanation:

First, for an equation of form y=mx+b, m represents the slope. Therefore, for y=x/4+2 = (1/4)*x + 2, 1/4 is the slope. For perpendicular lines, the negative reciprocal of the slope is the slope of the line perpendicular to it. Therefore, the slope of our line is the negative reciprocal of 1/4.

To find the reciprocal of something, we can just divide 1 by it (another way to do this would be to flip the numerator and denominator, so 1/4 turns into 4/1). Therefore, 1/(1/4) = (1/1)/(1/4) = (1/1) * (4/1) = 4. The negative reciprocal is thus -4.

Our equation is therefore of form y = (-4) x + b. To solve for b, we can plug in the point given and solve for b in our equation. We have

-4 = (-4) * 1 + b

-4 = -4 + b

add 4 to both sides to isolate the b

0 = b

Therefore, our equation is

y= (-4)x + 0

y = -4x

yes jcuctxujensh ysywhxnchuencjcjd

Does (9, 7) make the equation y = x + 2 true?

Answers

Answer:

Step-by-step explanation:

y = 9 + 2 is 11 not 7

Solve for w-39=4w+7(w-3)Simplify your answer as much as possible

Answers

Given the equation:

-39 = 4w + 7(w-3)

Let's solve the equation for w.

To solve take the following steps.

• Step 1.

Apply distributive property

$\begin{gathered} -39=4w+7(w)+7(-3) \\ \\ -39=4w+7w-21 \end{gathered}$

• Step 2.

Combine like terms

$-39=11w-21$

• Step 3.

Add 21 to both sides

$\begin{gathered} -39+21=11w-21+21 \\ \\ -18=11w \end{gathered}$

Step 4.

Divide both sides by 11

$\begin{gathered} \frac{-18}{11}=\frac{11w}{11} \\ \\ -1.63=w \\ \\ w=-1.63 \end{gathered}$

ANSWER:

w = -1.63

the westminster widget company has an old machine that can produce widgets in three hours. now they have purchased a new machine that can produce widgets in four hours. working together, how long will it take the two machines to produce widgets?

Answers

It will take both machines approximately 1.71 hours or 1 hour and 42 minutes to produce widgets together.

How the machine takes 1.71 hours or 1 hour and 42 minutes to produce widgets together?

To solve this problem, we can use the formula:

1 / time taken by machine 1 + 1 / time taken by machine 2 = 1 / time taken by both machines

Let's denote the time taken by the old machine as x hours and the time taken by the new machine as y hours.

From the problem statement, we know that the old machine can produce widgets in 3 hours, so we have:

1 / x = 1 / 3

Solving for x, we get:

x = 3

Similarly, we know that the new machine can produce widgets in 4 hours, so we have:

1 / y = 1 / 4

Solving for y, we get:

y = 4

Now, we can plug in the values of x and y into the formula and solve for the time taken by both machines:

1 / 3 + 1 / 4 = 1 / t

Multiplying both sides by 12t, we get:

4t + 3t = 12

7t = 12

t = 12 / 7

Therefore, it will take both machines approximately 1.71 hours or 1 hour and 42 minutes to produce widgets together.

In conclusion, we used the formula for the combined work rate of two machines to calculate the time taken by both machines to produce widgets. We first found the individual work rates of the old and new machines and then substituted those values into the formula to solve for the time taken by both machines working together.

Learn more about widgets

brainly.com/question/30887492

#SPJ11

A scientist hopes to launch a weather balloon on one of the next three mornings. For each morning, there is a 40% chance of suitable weather. What is the probability that there will be at least one morning with suitable weather?

SOMEONE PLEASE HELP ME.

Answers

Answer:

118/125

Step-by-step explanation:

We can find first the probability that there isn’t suitable weather:

60/100 * 60/100 * 60/100 = 3/5 * 3/5 * 3/5 = 27/125

now we have just to do this operation

125/125 - 27/125 = 118/125

For which of these numbers would you most likely count rather than subitize?
A. 0
B. 1
C. 3
D. 5

Answers

A and B are typically subitized, which means that they can be immediately recognized without counting. C and D are more likely to be counted.

Counting is the process of determining the number of items in a set by successively adding one. Subitizing, on the other hand, is the ability to immediately recognize the number of items in a small set without counting. The capacity for subitizing is limited to small sets typically ranging from 1 to 5 items, depending on the individual's age and mathematical ability. The answer to this question would be option C, 3. For most individuals, recognizing the number of items in a set of 3 would require counting rather than subitizing, as 3 is at the upper limit of the typical range for subitizing.

To know more about counting,

https://brainly.com/question/30971100

#SPJ11

blahh
I don't like myself
But maybe it's all in my head And I am not the words I've said These images they sell Maybe none of it is real And I could love the way I feel

Answers

Answer:

Step-by-step explanation:

oh my god wow you're so quirky

A Covid-19 vaccine clinic in downtown area of a large city opens 24 hours a day and residents from all over the city may come to the clinic for service. Assume that the arrival process follows Poisson distribution with an average of 5 arrivals per hour. The average time required to give the vaccine is 8 minutes and the service time follows exponential distribution. Use the standard single channel single stage queuing model introduced in class and equations given below to calculate corresponding values in answering the following questions. 1) Estimate the number of hours that the staff at the clinic are busy in a 12 hour time period 2) Estimate the time a person coming to the clinic is expected to wait to get served after he/she arrives. 3) Estimate the time a person is expected to spend in the clinic (including waiting and being served) after he/she arrives. 4) There is a seat in the clinic for the patient/person to sit down when he/she is treated. The clinic decided that at least 75% of the time that a patient/person waiting to be served should have a seat and prepared 2 chairs in the waiting area. Use given information and formula to estimate if these 2 chairs in the waiting area are enough to meet this 75% target. Note that the formula of P(n) given below is to calculate the probability that there are n customers in the system including the one being served and those waiting. Formulas for single channel single stage queuing model 1: Arrival rate (number of customers arriving per unit time) u: Service rate (number of customers served per unit time) p = : Server Utilization Та = Mean waiting time in queue 2 (-2) 1 (u-1) TS = .: Mean time in system (including service time) P(n) = P(0) ()" = (1-9) 3)": Probability that there are n customers in system n =

Answers

1.The staff at the clinic will be busy for 12 x 0.625 = 7.5 hours in a 12-hour time period.

2. The expected waiting time is 0.444 minutes.

3. A person is expected to spend 10 minutes in the clinic.

4.The two chairs in the waiting area should be enough to meet the 75% target.

1. To estimate the number of hours that the staff at the clinic are busy in a 12-hour time period, we need to calculate the average utilization of the server. The service rate is the reciprocal of the average service time, so u = 1/8 = 0.125 customers per minute. The arrival rate is given as 5 customers per hour, so λ = 5/60 = 0.0833 customers per minute. The utilization of the server is P(1), which can be calculated using the formula P(1) = (1-λ/u). Therefore, P(1) = 0.625, indicating that the server is busy 62.5% of the time.

2. To estimate the time a person coming to the clinic is expected to wait to get served after he/she arrives, we need to calculate the average waiting time in queue. The formula for the mean waiting time in queue is Ta = λ (u²+1)/(2u(1-u)), which equals to Ta = (0.0833 x (0.125²+1))/(2 x 0.125 x (1-0.125)) = 0.444 minutes.

3. To estimate the time a person is expected to spend in the clinic (including waiting and being served) after he/she arrives, we need to calculate the mean time in the system. The formula for mean time in the system is Ts = 1/(u-λ), which equals to Ts = 1/(0.125-0.0833) = 10 minutes.

4. To estimate if the two chairs in the waiting area are enough to meet the 75% target, we need to calculate the probability of having two or fewer people in the system, including the one being served and those waiting. P(0) = (1-λ/u) = 0.625, and P(1) = λ/u x P(0) = 0.208. Hence, the probability of having two or fewer people in the system is P(0) + P(1) + P(2) = 0.739. This means that 73.9% of the time, there will be two or fewer people in the system, which exceeds the target of 75%.

For such more questions on minutes

https://brainly.com/question/132244

#SPJ8

farmer sells 9.8 kilograms of pears and apples at the farmer's market. 3/5 of this weight is pears, and the rest is apples. How many kilograms of apples did she sell at the farmer's market?

Answers

Answer:3.92

Step-by-step explanation:

find 1/5 of 9.8kg

=1.96kg

3/5 of pears = 1.96*3=5.88kg

apples= 2/5 so 1.96*2=3.92kg

OR 9.8-5.88=3.92kg

Answer:

3.92kg of Apples

Step-by-step explanation:

The size of Pears weight is 3/5 of 9.8kg...

=3/5 * 9.8

=3 * 9.8/5

=29.4/5

=5.88kg

Thus, the size of the Apples will be 9.8kg - 5.88kg

= 3.92kg.

Thus, the farmer sold 3.92kg of Apples at the farmer's market.

As Debbie completes her daily word search there are three words she is having difficult finding. In order to be sure to solve the problem with 100% accuracy, she looks at every possible word combination to find these last three words. What method of problem solving is Debbie using

Answers

Debbie is using the method of "exhaustive search" or "brute-force" problem solving to ensure 100% accuracy in finding the last three words in her word search.

In an exhaustive search, all possible solutions or combinations are systematically checked or examined to find the correct answer.

Debbie is looking at every possible word combination in order to locate the three words she is having difficulty finding.

By examining each combination, she eliminates the possibility of missing any potential solutions and ensures a comprehensive search of all options.

While this approach guarantees accuracy, it can be time-consuming and resource-intensive, especially when dealing with a large number of possibilities.

However, in Debbie's case, she is committed to achieving a 100% accurate solution by considering every single word combination.

To know more about method: brainly.com/question/330313

#SPJ11

quick!!!!!! i need help

Answers

The radical expressions have the following equivalent forms:

∛(64 · x⁵ · y³) → 4 · x · y · ∛x² $\sqrt[6]{}$(729 · x¹² · y¹⁴) → 3 · x² · y² · $\sqrt[6]{}$y² $\sqrt[5]{}$(1,024 · x¹⁵ · y⁶) → 4 · x³ · y · $\sqrt[5]{}$y $\sqrt[4]{}$(2,401 · x⁹ · y¹⁶) → 7 · x² · y⁴ · $\sqrt[4]{}$x

How to simplify radical expressions

In this problem we find four cases of radical expression, each of which must be simplifed by algebra properties to find the respective tile. Now we proceed to simplify on each case:

Case 1

∛(64 · x⁵ · y³)

∛64 · ∛x⁵ · ∛y³

4 · ∛(x³⁺²) · y

4 · ∛x³ · ∛x² · y

4 · x · y · ∛x²

Case 2

$\sqrt[6]{}$(729 · x¹² · y¹⁴)

$\sqrt[6]{}$(729) · $\sqrt[6]{}$x¹² · $\sqrt[6]{}$y¹⁴

3 · x² · $\sqrt[6]{}$y¹²⁺²

3 · x² · $\sqrt[6]{}$y¹² · $\sqrt[6]{}$y²

3 · x² · y² · $\sqrt[6]{}$y²

Case 3

$\sqrt[5]{}$(1,024 · x¹⁵ · y⁶)

$\sqrt[5]{}$1,024 · $\sqrt[5]{}$x¹⁵ · $\sqrt[5]{}$y⁶

4 · x³ · $\sqrt[5]{}$y⁵⁺¹

4 · x³ · $\sqrt[5]{}$y⁵ · $\sqrt[5]{}$y

4 · x³ · y · $\sqrt[5]{}$y

Case 4

$\sqrt[4]{}$(2,401 · x⁹ · y¹⁶)

$\sqrt[4]{}$2,401 · $\sqrt[4]{}$x⁹ · $\sqrt[4]{}$y¹⁶

7 · $\sqrt[4]{}$x⁸⁺¹ · $\sqrt[4]{}$y¹⁶

7 · x² · $\sqrt[4]{}$x · y⁴

7 · x² · y⁴ · $\sqrt[4]{}$x

To learn more on radical expressions: https://brainly.com/question/3796764

#SPJ1

Let ݂ሺݔሻ ൌ ͹ݔଶ െ ͷݔ ͵ ൅ and ݃ሺݔሻ ൌ ʹݔଶ ൅ Ͷݔ െ ͸.
Part A: Find ݂ሺݔሻ ൅ ݃ሺݔሻ
Part B: Find ݂ሺݔሻ െ ݃ሺݔሻ
Part C: Find ݃ሺݔሻ െ ݂ሺݔሻ

Answers

Answer:

what

Step-by-step explanation:

Answer:

what does this mean???

Drag the tiles to the correct boxes to complete the pairs.
Simplify the inequalities and match them with the graphs that represent them.

Answers

Answer:

1) 1, 2) 3, 3) 2, 4) 4

Step-by-step explanation:

Solve the inequalities and match with the graphs

1) 7x < 42 ⇒ x < 42/7 ⇒ x < 6 ⇔ matching the graph 12) 3x > 15 ⇒ x > 15/3 ⇒ x > 5 ⇔ matching the graph 33) x + 1 < 8 ⇒ x < 8 - 1 ⇒ x < 7 ⇔ matching the graph 24) 2x > 12 ⇒ x > 12/2 ⇒ x > 6 ⇔ matching the graph 4

Answer:

7x < 42

x + 1 < 8

3x > 15

2x > 12

Step-by-step explanation:

> means "more than" (shading to the right)

< means "less than" (shading to the left)

Solve the given inequalities

7x < 42

⇒ 7x ÷ 7 < 42 ÷ 7

⇒ x < 6

An open circle on 6, shading to the left

3x > 15

⇒ 3x ÷ 3 > 15 ÷ 3

⇒ x > 5

An open circle on 5, shading to the right

x + 1 < 8

⇒ x + 1 - 1 < 8 - 1

⇒ x < 7

An open circle on 7, shading to the left

2x > 12

⇒ 2x ÷ 2 > 12 ÷ 2

⇒ x > 6

An open circle on 6, shading to the right

Please answer in simplified, rationalized form and don’t round

Answers

Answer:

4.359/10

Step-by-step explanation:

Complete the proof of the Pythagorean theorem.Given: Δ ABC is a right triangle, witha right angle at ∠CProve: A²+B² =C²Answer:Statement1.ΔABC is a right triangle, with a right angle at ∠C2.Draw an altitude from point C to line AB3.∠CDB and ∠CDA are right angles.4. ∠BCA ≅ ∠BDC5.∠B ≅ ∠B6. ?7. $\frac{a}{x} = \frac{c}{a}$8. a² = cx9.∠CDA ≅ ∠BCA10.∠A ≅ ∠A11. ?12. $\frac{b}{y} = \frac{c}{b}$13. b² = cy14. a² + b² = cx + cy15. ?16. x + y = c17.a² + b² = c²Reason1. Given2. From a point not on a line, exactly one perpendicular can be drawn through the point to the line.3. Definition of altitude4. All right angles are congruent.5. ?6. AA Similarity Postulate7. ?8. ?9. ?10. ?11.AA similarity Postulate12. ?13. ?14. ?15. Distributive Property16. ?17. ?PLEASE FILL IN ALL THE QUESTION MARKS :)

Complete the proof of the Pythagorean theorem.Given: ABC is a right triangle, witha right angle at CProve:

Answers

In order to fill each missing statement and reason, let's check for the corresponding part of the missing statement or reason.

For example, reason 5 is missing. The statement 5 is reflexive property of congruency.

In the same way, statement 6 is missing, and the reason is AA Similarity Postulate.

Therefore the statement is Triangles CDB and CDA are similar.

Reason 7 comes from the proportion written in statement 7. So the reason is the proportion between corresponding sides in similar triangles is the same.

(or we can write "corresponding sides of similar triangles are proportional)

Reason 8 comes from the cross product in a fraction equation.

Reason 9 is that all right angles are congruent.

Reason 10 is the reflexive property of congruency.

Statement 11 is that triangles BCA and CDA are similar.

Reason 12 is that the proportion between corresponding sides in similar triangles are the same.

Reason 13 is the cross product in a fraction equation.

Reason 14 is the addition of the equations from statements 8 and 13.

Statement 15 is a² + b² = c(x + y)

Reason 16 is point D is on segment AB (therefore AD + DB = AB)

Reason 17 is the substitution from the equation of statement 16 in the equation of statement 15.

create a star UML diagram for
" Trip Planner"
please explain a little

Answers

The star UML diagram for a trip planner should be designed to be flexible and scalable, so that it can accommodate changes and additions over time as the system evolves and grows.

A trip planner is an application that allows users to plan and organize trips. It can help users with everything from booking flights and hotels to finding restaurants and local attractions.

A star UML diagram can be used to model the system's requirements and components. It can help designers and developers understand how different parts of the system interact with one another and identify potential issues early on.

To create a star UML diagram for a trip planner, the following components should be included:

1. User interface: This is the part of the system that users interact with directly. It should be designed to be easy to use and navigate.

2. Database: This is where all the trip information is stored, including flight and hotel reservations, restaurant recommendations, and local attractions.

3. Search engine: This is the part of the system that allows users to search for flights, hotels, restaurants, and local attractions.

4. Booking engine: This is the part of the system that allows users to book flights, hotels, and other reservations.

5. Recommendations engine: This is the part of the system that provides users with recommendations for restaurants and local attractions based on their preferences and past activities.

6. Payment system: This is the part of the system that handles payments for bookings and reservations.

7. Notifications: This is the part of the system that sends users notifications about flight delays, cancellations, and other important information.

Overall, the star UML diagram for a trip planner should be designed to be flexible and scalable, so that it can accommodate changes and additions over time as the system evolves and grows.

To know more about Database, visit:

https://brainly.com/question/30163202

#SPJ11

Given the tunction g(x) = 4x - 5, compare and contrast g(2) and g(-4). Choose the statement that is true concerning these two values.
The value of g(2) is larger than the value of g(-4).
The value of g(2) is smaller than the value of g(-4).
The value of g(2) is the same as the value of g(-4).
The values of g(2) and g(-4) cannot be compared.

Answers

g(2)=4•2-5=3
g(-4)=4•(-4)-5=-21
So the answer is the value of g(2)is smaller than the value of g(-4)

Help fast I will do anything

Mercy participates in a bowling league on a team with her friends. The cost of
ordering team shirts can be represented by f(x) = 12.75x + 3.50, where the total
cost is a function of x, the number of shirts ordered Mercy's team must have a
minimum of 6 players and a maximum of 10 players. Which is a reasonable
range for the situation?
a. All real numbers
b. 80 SXS 131
C. {80, 92.75, 105.5, 118.25, 131}
d. y > 80

Answers

The answer is I think C

4. Find the measure of x. Then find the measure of DE. Plzzz show work!

Answers

Answer:

more information on how much of that they have been doing a

The measure of x is 30 and the measure of DE is 60.

Find x:

x = 180 - 90 - 60 = 30

Find DE:

DE = 2x = 2 * 30 = 60

Therefore, the measure of x is 30 and the measure of DE is 60.

Here are the steps in detail:

Identify the angles in the diagram.

Find the measure of x using the fact that the angles in a triangle add up to 180 degrees.

Find the measure of DE using the fact that DE is twice the measure of x.

To learn more about measure here:

https://brainly.com/question/29186540

#SPJ2

if micheal's pool hold 21,000 gallons of water and it is 90 percent full, how many gallons of water are there?

Answers

The number of gallons of water that Michael's pool holds for the given condition will be 18,900 gallons.

What is the percentage?

The amount of any product is given as though it was a proportion of a hundred. The ratio can be expressed as a quarter of 100. The phrase % translates for one hundred percent. It is symbolized by the character '%'.

The percentage is given as,

Percentage (P) = [Final value - Initial value] / Initial value x 100

If Michael's pool holds 21,000 gallons of water and it is 90 percent full.

The number of gallons of water that Michael's pool holds will be given as,

⇒ 90% of 21,000

⇒ 0.90 x 21,000

⇒ 18,900 gallons

The number of gallons of water that Michael's pool holds for the given condition will be 18,900 gallons.

More about the percentage link is given below.

https://brainly.com/question/8011401

#SPJ1

I NEEEDDD HELPPP
The function f(x)=2x+4 models the amount of money Kayla charges per hour to babysit x children. What is the meaning of the slope of the function?

Answers

The slope of a function is the average rate of change of the function.

The meaning of the slope is that: Kayla's charges per child is #2

The function is given as:

$\mathbf{f(x) = 2x + 4}$

A linear function is represented as:

$\mathbf{f(x) = mx + c}$

Where:

m represents the slope of the function.

By comparison,

$\mathbf{m = 2}$

From the question, we understand that:

The function models the average money charged to babysit children

So, the interpretation of the slope is that:

Kayla's charges per child is #2