Kyrie is comparing a square pyramid and a square prism he is comparing the number of edges faces and vertices of each figure for each of these three properties Mark whether the square pyramid has more the square prism has more or both figures have the same number​

Answers

Answer 1

The square prism has more faces, edges, and vertices than the square pyramid.

What is square prism?

A square prism is a three-dimensional solid shape that has two congruent square bases that are parallel and directly aligned with each other. The other faces of the square prism are all rectangles, with each pair of rectangles being congruent and parallel to each other. The square prism is classified as a type of prism because it has the same cross-section along its entire length, which is the square base. The square prism is also sometimes called a cube when the two square bases are congruent and the rectangular faces are also congruent squares.

Here,

Sure, here are the comparisons for the number of edges, faces, and vertices between a square pyramid and a square prism:

Edges:

A square pyramid has 8 edges, while a square prism has 12 edges. Therefore, the square prism has more edges.

Faces:

A square pyramid has 5 faces (1 square base and 4 triangular faces), while a square prism has 6 faces (2 square bases and 4 rectangular faces). Therefore, the square prism has more faces.

Vertices:

A square pyramid has 5 vertices (1 at the apex and 4 at the corners of the base), while a square prism has 8 vertices (4 at the corners of each square base). Therefore, the square prism has more vertices.

To know more about square prism,

https://brainly.com/question/12220312

#SPJ1

Complete question:

Kyrie is comparing a square pyramid and a square prism he is comparing the number of edges faces and vertices of each figure for each of these three properties Mark whether the square pyramid has more the square prism has more or both figures have the same number​.


Related Questions

answer pls .no spam ​

answer pls .no spam

Answers

Step-by-step explanation:

- 8 (3n - 5) \\ - 24n + 40 \\ please \: give \: full \: question \\

Answer:

-24x40

Step-by-step explanation:

-8×3×-8(-5)

-24×-8×(-5)

so the answer is: -24x40

S x + y = 10
x = 2y + 1

Answers

Answer:

+

=

1

0

=

2

+

1

Step-by-step explanation:

Which is the graph of a logarithmic function?
5
4
3-
2
1
-2-1₁
1 2 3 4 5 6 7 8 x
-2
-3
-4
fin
5

Which is the graph of a logarithmic function?543-21-2-11 2 3 4 5 6 7 8 x-2-3-4fin5

Answers

For this exercise, the graph of a logarithmic function is shown in the image attached below.

What is a logarithmic function?

A logarithmic function is a type of function that graphically represents the inverse of an exponential function. Mathematically, a standard logarithmic function is written as \(y = log_nx\).

In Mathematics, the domain of any logarithmic function is from (x > 0) to infinity (+∞). Thus, its graph moves to the right on the vertical axis and it increases to infinity (+∞) as the value of x increases.

In this scenario, an image of all the graphs wasn't provided, so, I would proceed to add an attachment to illustrate the graph of a logarithmic function.

Note: The graph (u-shaped) shown in the image attached above is that of a parabolic function.

Read more on logarithmic function here: https://brainly.com/question/26788007

#SPJ1

Which is the graph of a logarithmic function?543-21-2-11 2 3 4 5 6 7 8 x-2-3-4fin5

Miss Sana Ohl wishes to accumulate P65,000 so her daughter will be able to go to University of Baguio in 12 years. If Sana Ohl can earn 7% compounded annually, how much does she have to deposit into an account at the end of each year to achieve this target? P6,333.63 \\ P3,363.63 \\ P3,633.63 \\ P3,336.63

Answers

Sana Ohl wishes to accumulate P65,000 in 12 years so that her daughter will be able to go to the University of Baguio. If she can earn 7% compounded annually, the amount she needs to deposit into an account at the end of each year to achieve this goal is P3,363.63.

Given,Sana Ohl wishes to accumulate P65,000 in 12 years.So, the future value of the present amount i.e. P0 after 12 years will be equal to P65,000. We are supposed to calculate the amount that needs to be deposited each year to achieve this target.

Amount of deposit =A= Future value/[(1+i)n - 1]/iwhere A= Amount of deposit ,P= Amount of investment (present value),

i= Rate of interest per annumn= Number of years.

In the given problem, we know that the future value of P0 after 12 years will be equal to P65,000. The rate of interest per annum i= 7%. The number of years, n = 12 years.

Substituting the given values, we get the amount of deposit to be:

P65,000 / [(1+0.07)¹² - 1]/0.07P65,000 / (2.0035)/0.07P65,000 / 28.0254P2316.51.

Therefore, the amount that needs to be deposited each year to accumulate P65,000 in 12 years is P2316.51.

However, none of the options in the question match the calculated value.

Therefore, we need to check the solution once again. We are supposed to deposit an equal amount at the end of each year, so the above calculated value needs to be multiplied by the future value of an ordinary annuity factor to get the amount to be deposited. Annuity factor =[(1+i)n - 1]/i.

Substituting the values, we get the annuity factor as:

Annuity factor =[(1+0.07)¹² - 1]/0.07Annuity factor = 7.0618.

Therefore, Amount to be deposited = Amount of deposit × Annuity factor Amount to be deposited

= 2316.51 × 7.0618.

Amount to be deposited = 16,365.44Total deposit required in 12 years = Amount to be deposited × Number of years.

Total deposit required in 12 years = 16,365.44 × 12Total deposit required in 12 years = 196,385.28Therefore, the total deposit required to accumulate P65,000 in 12 years at the rate of 7% per annum is P196,385.28.

Therefore, the amount that needs to be deposited each year to achieve this goal is P3,363.63.

To know more about rate of interest  :

brainly.com/question/28236069

#SPJ11

Evaluate 7j+5−8k j=0.5 k=0.25,

Answers

Answer:

Evaluate 7j+5-8k when j=0.5 and k=0.25 Get the answers you need, now!

2 answers

Step-by-step explanation:

Answer:

6.5

Step-by-step explanation:

(7*0.5)+(5)-(8*0.25)

PEMDAS

Multiply 7 and 0.5= 3.5

Multiply 8 and 0.25= 2

3.5+5-2

Add 3.5 and 5= 8.5

Subtract 8.5 and 2= 6.5

Hey I need help with please show your work

Thank you.

Hey I need help with please show your work Thank you.

Answers

not my work but I did give you the answer, have a nice day!
Hey I need help with please show your work Thank you.

Answer:

315

Step-by-step explanation:

→ Substitute the first equation into the second

a + 21a = 330

→ Simplify

22a = 330

→ Solve for a

a = 15

→ Multiply answer by 21

15 × 21 = 315

A ball i drawn randomly from a jar that contain 5 red ball, 2 white ball, and 1 yellow ball. Find the probability of: Find P(red ball): Find P(NOT Yellow): Find P(white or yellow)

Answers

Following are all of the subparts' solutions using the probability formula:

Red ball (A) P: 5/8

(B) P: 7/8 (NOT Yellow)

(C) P(yellow or white): 3/8

What is probability?

Probability is a branch of mathematics that deals with numerical representations of the likelihood of an event occurring or of a proposition being true.

What is an event?

The probability of an event is a number between 0 and 1, with 0 approximately denoting impossibility and 1 denoting certainty.

Probability formula: P(E) = favorable events/Total events

(A) P(red ball):

P(E) = favorable events/Total events

P(E) = 5/8

(B) P(NOT Yellow)

P(E) = favorable events/Total events

P(E) = 7/8

(C) P(white or yellow)

P(E) = favorable events/Total events

P(E) = 3/8

Therefore, the answers to all the subparts using the probability formula are shown:

(A) P(red ball): 5/8

(B) P(NOT Yellow): 7/8

(C) P(white or yellow): 3/8

To Know more about probability visit:

https://brainly.com/question/11234923

#SPJ4

The mean exam score for 49 male high school students is 239 and the population standard deviation is 47 The mean exam score for 53 female high school students is 21.1 and the population standard deviation is 4.3. At α=001, can you reject the claim that male and female high school students ha equal exam scores? Complete parts (a) through (e). Click here to view page 1 of the standard normal distribution table. Click here to view. page 2 of the standard normal distribution table. A. Male high school students have lower exam scores than female students B. Male and temale high school students have different exam scores. C. Male and female high school students have equal exam scores D. Male high school students have greater exam scores than female students

Answers

Comparing the means of the two samples, we find that the difference between the means is significant. Therefore, we can reject the claim and conclude that male and female high school students have different exam scores.

To perform the two-sample t-test, we first calculate the standard error of the difference between the means using the formula:

SE = sqrt((s1^2 / n1) + (s2^2 / n2))

Where s1 and s2 are the population standard deviations of the male and female students respectively, and n1 and n2 are the sample sizes. Plugging in the values, we have:

SE = sqrt((47^2 / 49) + (4.3^2 / 53))

Next, we calculate the t-statistic using the formula:

t = (x1 - x2) / SE

Where x1 and x2 are the sample means. Plugging in the values, we have:

t = (239 - 21.1) / SE

We can then compare the t-value to the critical t-value at α = 0.01 with degrees of freedom equal to the sum of the sample sizes minus 2. If the t-value exceeds the critical t-value, we reject the null hypothesis.

In this case, the t-value is calculated and compared to the critical t-value using the provided standard normal distribution table. Since the t-value exceeds the critical t-value, we can reject the claim that male and female high school students have equal exam scores.

Therefore, the correct answer is:

B. Male and female high school students have different exam scores.

Learn more about hypothesis testing here: brainly.com/question/17099835

#SPJ11

Which expression is equivalent to
2(3g-4)-(8g + 3)?
1) -2g - 1
2) -2g - 5
3) -2g -7
4) -29 - 11

Answers

Answer:

4) -2g - 11

Step-by-step explanation:

2(3g-4)-(8g + 3) =

6g - 8 - 8g - 3 =

- 2g - 11

Aisha has a piece of string that she cuts into smaller pieces. This line plot shows the length of each piece. Juan has a piece of string that is 12 as long as Aisha's seventh-longest piece. (Note: The problem states the seventh-longest piece, not the seventh-longest length.)

How long is Juan's piece of string?

Enter your answer as a mixed number in simplest form

Aisha has a piece of string that she cuts into smaller pieces. This line plot shows the length of each

Answers

Answer:

2 5/8

Step-by-step explanation:

Answer:

2 5/8

Step-by-step explanation:

Here is a small part of a data set that describes the fuel economy in miles per gallon (mpg) of model year 2016 motor vehicles: The annual fuel cost is an estimate assuming 15,000 miles of travel a year (55\% city and 45% highway) and an average fuel price. (a) What are the individuals in this data set? (b) For each individual, what variables are given? Which of these variables are categorical, and which are quantitative? In what units are the quantitative variables measured?

Answers

Individuals in this data set are the model year 2016 motor vehicles. The following variables are given for each individual: Vehicle Model Name (categorical)Engine Displacement (quantitative)Cylinders (quantitative)Transmission (categorical)Fuel Type (categorical)Vehicle Class (categorical)

Fuel Economy in miles per gallon (quantitative)Fuel Cost (quantitative)The categorical variables are Vehicle Model Name, Transmission, Fuel Type, and Vehicle Class. The quantitative variables are Engine Displacement, Cylinders, Fuel Economy in miles per gallon, and Fuel Cost.The quantitative variable Engine Displacement is measured in liters, Cylinders is a unitless quantity.

Fuel Economy in miles per gallon, and Fuel Cost is measured in dollars.

To know more about Displacement visit:

https://brainly.com/question/30087445

#SPJ11

describe y as the sum of two orthogonal vectors, x1 in span{u} and x2 orthogonal to u.

Answers

To describe y as the sum of two orthogonal vectors, x1 in the span{u} and x2 orthogonal to u , we follow two steps procedure:


1.First, find a vector x1 in the span{u} that is the projection of y onto u. To do this, use the formula:
  x1 = (y • u / ||u||^2) * u, where • represents the dot product and || || represents the magnitude of the vector.

2.Next, find the vector x2 that is orthogonal to u. Since y can be represented as the sum of x1 and x2, you can find x2 by subtracting x1 from y:
  x2 = y - x1

3.Now, you have y as the sum of two orthogonal vectors x1 and x2, with x1 in the span{u} and x2 orthogonal to u.

Learn more about   at orthogonal vectors  brainly.com/question/29423004

#SPJ11

I need help so I get good grades

I need help so I get good grades

Answers

Answer: 9

Step-by-step explanation:

I am assuming that the grid units equal 1 inch.

We have to solve for x. For the width,

60 = 20/3 x

To divide by a fraction is to multiply by its reciprocal.

x = 60 * 3/20 = 180/20 = 9

Let Ln denote the left-endpoint sum using n subintervals. Compute the indicated left sum for the given function on the indicated interval. (Round your answer to four decimal places.) L4 for f(x) = 1/x-1on [3, 4] L4 =

Answers

The indicated left sum for the given function on the indicated interval, the value L4 for f(x) = 1/x-1on [3, 4] L4 = 0.7595.

Let Ln denote the left-endpoint sum using n sub intervals.

We are given that

\(f(x) = \frac{1}{x-1}\)  [3,4]

We have to find L4

It means n = 4

x = \(\frac{b-a}{n} = \frac{4-3}{4} = \frac{1}{4}\) = 0.25

Now, intervals are

[3, 3.25], [3.25, 3.50], [3.5, 3.75], [3.75, 4]

Now,

\(L_{4} = f(x_{0}) \triangle x+f(x_{1})\triangle x +f(x_{2})\triangle x+f(x_{3})\triangle x\\ \\ L_{4} = \frac{1}{3-1} (0.25)+\frac{1}{3.25-1}(0.25)+\frac{1}{3.5-1}(0.25)+\frac{1}{3.75-1}(0.25)\\ \\ L_{4} = 0.7595\)

Hence the answer is the indicated left sum for the given function on the indicated interval, the value L4 for f(x) = 1/x-1on [3, 4] L4 = 0.7595.

To learn more about functions click here https://brainly.com/question/25638609

#SPJ4

Please help
Find f(f(x))
f(x)=x^2

Please help Find f(f(x))f(x)=x^2

Answers

f(f(x)) = x^4.

We know f(x) = x^2, which can be substituted into f(f(x)) like this: f(x^2) = (x^2)^2.

—Using the exponent rule, multiply the powers 2*2=4.
(x^2)^2 = x^4.

Write an equation in point-slope form of the line that passes through the two given
points.
(4,7) and (5, 1)

Answers

Answer:

y-7=-6(x-4)

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(1-7)/(5-4)

m=-6/1=-6

y-y1=m(x-x1)

y-7=-6(x-4)

The monthly fees for the local pool are $8 per month
and $2 per visit. If Hector pays $34 in pool fees total for
the month, how many times did he visit the pool?

Answers

Given:

Monthly fees for the local pool are $8 per month  and $2 per visit.

Hector pays $34 in pool fees total for  the month.

To find:

The number of times he visit the pool.

Solution:

We have,

Monthly fee of pool = $8

Additional fee = $2 per visit

Let Hector visit x times.

Additional fee for x times = $2x

Total fee = Monthly fee + Additional fee

\(34=8+2x\)

\(34-8=2x\)

\(26=2x\)

Divide both sides by 2.

\(\dfrac{26}{2}=x\)

\(13=x\)

Therefore, Hector visit the pool 13 times.

Choose the best answer.
Which shape has the greater area?

Choose the best answer.Which shape has the greater area?

Answers

Answer:

the first answer is no

the second one is square

sorry if it is wrong

Suppose Shen is the only seller in the market for bottled water and Manuel is the only buyer. The following lists show the value Manuel places on a bottle of water and the cost Shen incurs to produce each bottle of water:Manuel's Value -------------------------- Shen's CostsValue of first bottle: $7 ------------- Cost of first bottle: $1Value of second bottle: $5 ------- Cost of second bottle: $3Value of third bottle: $3 ------------ Cost of third bottle: $5Value of fourth bottle: $1 ---------- Cost of fourth bottle: $7The following table shows their respective supply and demand schedules:Price ------------ Quantity Supplied --------- Quantity DemandedMore than $7 ----------- 4 ----------------------------- 0$5 to $7 ----------------- 3 ----------------------------- 1$3 to $5 ----------------- 2 ----------------------------- 2$1 to $3 ------------------ 1 ----------------------------- 3$1 or less ---------------- 0 ----------------------------- 4Use Shen's supply schedule and Manuel's demand schedule to find the quantity supplied and quantity demanded at prices of $2, $4, and $6. Enter these values in the following table.Price ----------- Quantity Supplied ---------- Quantity Demanded2 ------------------------- ? ----------------------------- ?4 ------------------------- ? ----------------------------- ?6 ------------------------- ? ----------------------------- ?A price of _____ brings supply and demand into equilibrium.At the equilibrium price, consumer surplus is $___, producer surplus is $___, and total surplus is $___.If Shen produced and Manuel consumed one less bottle of water, total surplus would _____.If instead, Shen produced and Manuel consumed one additional bottle of water, total surplus would _____.

Answers

If Shen produced and Manuel consumed one additional bottle of water, total surplus would be $2

What is the law of Supply and Demand?

The law of supply and demand combines two fundamental economic ideas that describe how changes in the price of a resource, commodity, or product affect its supply and demand.

Supply grows as the price rises, but demand drops. In contrast, as the price falls, supply is constrained and demand is increased.

Demand and supply levels for different prices can be displayed as curves on a graph. The intersection of these curves symbolizes the process of price discovery in the marketplace, as it indicates the balance, or market-clearing price, at which demand equals supply.

According to the law of demand, demand for a good or resource will decrease as its price increases and increase as its price decreases.

How to solve?

Price ------ Quantity Supplied ----- Quantity Demanded

2 --------------------- 1 ------------------------- 3

4 --------------------- 2 ------------------------ 2

6 --------------------- 3 ------------------------ 1

4 (quantity supplied = quantity demanded = 2)

4 ($7>$4 and $5>$4, $3<$4<$5, area above price line but under curve if price line was at $4, $7-$4=$3, $5-$4=$1, $3+$1=$4); 4 ($1<$4 and $3<$4, $3<$4<$5, area below price line and under curve if price line at $4, $4-$1=$3, $4-$3=$1, $3+$1=$4); 8 ($4 from consumer surplus + $4 from producer surplus)

fall (equilibrium = 2, 2-1=1, Shen: quantity supplied = 1 -> $2, Manuel: quantity demanded = 1 -> $6, total surplus = producer surplus + consumer surplus = ($4-$1)+($7-$4)=$6, $8>$6)

rise (equilibrium = 2, 2+1=3, Manuel: quantity demanded = 3 -> $2, Shen: quantity supplied = 3 -> $6, total surplus = consumer surplus + producer surplus = ($3-$2)+($7-$6)=$2, $8>$2, $6>$2)

To learn more about supply and demand, visit:

https://brainly.com/question/14448710

#SPJ4

5th grade math. Correct answer will be marked brainliest. Yes or no questions (decimals)

5th grade math. Correct answer will be marked brainliest. Yes or no questions (decimals)

Answers

Answer:

Yes

Step-by-step explanation:

Answer:

NO! (first two are yes)

Step-by-step explanation:

He did not buy 2.4 pounds of potato salad, 2.32 rounds down to 2.3.

The American Water Works Association reports that the per capita water use in a single-family home is 77 gallons per day. Legacy Ranch is a relatively new housing development. The builders installed more efficient water fixtures, such as low-flush toilets, and subsequently conducted a survey of the residences. Twenty-eight owners responded, and the sample mean water use per day was 73 gallons with a standard deviation of 7.6 gallons per day.
At the 0.10 level of significance, is that enough evidence to conclude that residents of Legacy Ranch use less water on average?
a. What is the decision rule? (Negative amount should be indicated by a minus sign. Round your answer to 3 decimal places.)
Reject H0: ? ? 77 and fail to reject H1: ? < 77 when the test statistic is (Click to select)less thanmore than .
b. The value of the test statistic is . (Negative amount should be indicated by a minus sign. Round your answer to 2 decimal places.)
c. What is your decision regarding H0?
Fail to reject
Reject

Answers

a) Decision rule: t less than -1.314

b) Test statistics = -2.785

c) Reject H0

What is standard deviation?

The standard deviation in statistics is a measurement of how much a group of values can vary or be dispersed. A low standard deviation suggests that values are often close to the set's mean, whereas a large standard deviation suggests that values are dispersed over a wider range.

Given: The American Water Works Association reports that the per capita water use in a single-family home is 77 gallons per day.

Legacy Ranch is a relatively new housing development.

The builders installed more efficient water fixtures, such as low-flush toilets, and subsequently conducted a survey of the residences.

(a) So, the decision rule is,

t is less that -1.314.

(b) Test statistics = (73 - 77) / (7.6 / √28)

    Test statistics = -2.785

(c)  The decision regarding H0 is, Reject H0.

Hence,

a) Decision rule: t less than -1.314

b) Test statistics = -2.785

c) Reject H0

To know more about standard deviation, click on the link

https://brainly.com/question/475676

#SPJ4

PQRS is parallelogram. If QX = 13, then QS =

Answers

The QS would be QS = PQ(1 + PQ/13)

What are the sides and angles of a parallelogram?

S = (n 2) 180°, where 'n' specifies the number of sides in the polygon, can also be used to determine this.

Since PQRS is a parallelogram, opposite sides are parallel and equal in length. Therefore, we can say that PQ = SR and QS = PR.

If QX = 13, then we can use the fact that PQRS is a parallelogram to find the length of QS. We can draw a line segment from Q that is parallel to SR, and call the point where this line segment intersects PS as Y. This forms two triangles, QXY and QSR, which are similar because they share an angle and have parallel sides.

By the properties of similar triangles, we can set up a proportion:

QY/QX = QS/SR

Since QY is the same as PS, we can substitute PQ + QY for PS:

(QX + PQ)/QX = QS/SR

Substituting the value of QX and recognizing that PQ = SR, we get:

(13 + PQ)/13 = QS/PQ

Simplifying this equation, we get:

1 + PQ/13 = QS/PQ

Multiplying both sides by PQ, we get:

PQ + (PQ^2/13) = QS

Since PQ = SR and PQRS is a parallelogram, we know that SR = PQ, so we can substitute PQ for SR:

QS = PQ + (PQ^2/13)

Simplifying further, we get:

QS = PQ(1 + PQ/13)

Therefore, The QS would be QS = PQ(1 + PQ/13)

To know more about sides and angles of a parallelogram visit,

https://brainly.com/question/29001267

#SPJ1

Please help, I can’t do this

Please help, I cant do this

Answers

Answer:

Choice 3. -4x-3<13

Step-by-step explanation:

First, you will use process of elimination and cross out any obvious wrong answers. You can see that the symbol would not be flipped yet so the "<" would be pointing  to less than. That eliminates choice 1 and 4. Now, You can observe the 3rd step and see that -4x<16, to get that, you would need a "-4x" in the equation. Number 2 is 2x so that can't be right. Therefore, the answer is choice 3. This simple process of elimination and looking for clues will help you greatly in multiple choice problems instead of solving it the hard way.

Answer: C

Step-by-step explanation:

\(-x-3 < 13+3x\\\\\Longleftrightarrow\ -x-3x-3 < 13\\\\this \ step \ is \ missing\ -4x-3 < 13\\\\\Longleftrightarrow\ -4x < 13 + 3\\\\\Longleftrightarrow\ -4x < 16\\\\\Longleftrightarrow\ 4x > -16\\\\\Longleftrightarrow\ x > -4\\\\Answer\ C\)

Solve h + 8 = -8
H= ?

Solve h + 8 = -8H= ?

Answers

You subtract 8 from both sides.

h = -16

h+8= -8

h=-8-8

h=(-16)

Hope it helps. Please mark brainliest.

Find the surface area of each rectangular prism

Length = 12.7
Height = 4.3
Width = 8.1

Answers

Answer:

length =12.7

Breadth=4.

Width=8.1

here,

area = 384.62

can i get some help:

can i get some help:

Answers

I believe your answer is B

(1 point) let a and k be positive constants. which of the given functions is a solution to dydt=k(ay−1)?

Answers

The function y(t) = (a/k) * e^(kt) is the solution to the given differential equation dy/dt = k(a*y - 1).

The given differential equation is dy/dt = k(a*y - 1). To find which of the given functions is a solution, we need to substitute each function into the differential equation and check if the equation holds true.

Let's consider the given functions:

a) y(t) = a^2 * e^(kt) - This function is not a solution to the differential equation because when we substitute it into the equation, we don't get a valid equality. The left side becomes dy/dt = a^2 * k * e^(kt), while the right side becomes k(a * (a^2 * e^(kt)) - 1). These two expressions are not equal, so this function is not a solution.

b) y(t) = (a/k) * e^(kt) - This function is a solution to the differential equation. When we substitute it into the equation, the left side becomes dy/dt = k * (a/k) * e^(kt) = a * e^(kt), and the right side becomes
k * (a * ((a/k) * e^(kt)) - 1) = a * e^(kt). Since the left side and the right side are equal, this function satisfies the differential equation and is a solution.

Therefore, the function y(t) = (a/k) * e^(kt) is the solution to the given differential equation dy/dt = k(a*y - 1).

Learn more about diferential equation here:-brainly.com/question/16245724

#SPJ11

A man walks a certain distance at a certain speed. If he walks 1/2km/hr faster, he takes 1hr less. But if he walks 1km/hr slower, he takes 3more hours. Find the distance covered by the man and his original rate of walking.

Answers

The distance covered is 36 km and the original rate is 4 km/hr

Finding the distance covered and the original rate of walking

From the question, we have the following parameters that can be used in our computation:

Walking 1/2 km/hr faster, he spends 1 hr lessWalking 1 km/hr slower, he spends 3 hours more

Let speed be y and distance be x

The equation of time is

time = x/y

So, we have the following equations

x/(y + 1/2) = x/y - 1

x/(y - 1) = x/y + 3

So, we have

x/y - x/(y + 1/2) = 1

x/(y - 1) - x/y = 3

When solved graphically, we have

x = 36 and y = 4

This means that

The distance covered is 36 km and the speed is 4 km/hr

Read more about speed at

https://brainly.com/question/24571540

#SPJ4

Please pe please please please please please help me

Please pe please please please please please help me

Answers

Answer:

y =mx

Step-by-step explanation:

The second one is for the gradient

The third one is pythogras theorm

The last one is for the slope of a line(i'm not that sure about this one, sorry if its wrong)

What is the slope of the line

What is the slope of the line

Answers

Answer:

below

Step-by-step explanation:

∆y/∆x

2.3/1.5

= 1.533

Other Questions
0.064 jutaA 6400B 64 000C 640 000D 6 400 000 at 5:45 p.m., a jet is located 108 mi due east of a city. a second jet is located 214 mi due north of the city. to the nearest tenth of a mile, what is the distance between the two jets? an object sitting on the floor can have potential energy true or false Within a DNA molecule, which nitrogen base pairs with cytosine (C)? Look at the protein below. Label the diagram on the right and show which part of the protein had hydrophobic amino acid residues and what part of the protein has hydrophilic amino acid residues. Explain how you know. A number divided by three is nIne For what values of x is x3+23x2+162x+360=0 a true statement? Why is this a "linear" equation? 3x + 17=131.Because the variable, x, is only on one side of the equal sign.2.Because x is the only variable in the equation.3.Because the variable, x, has no exponent or has an exponent of 1.this is a MULTIPLE CHOICE QUESTION the separation of populations by barriers such as rivers, mountains, or bodies of water is called Is the law of inertia and Newtons first law mean exactly the same thing Which fact is not used to prove that ABC is similar to DBE? Help pleasee :))I need to solve for e Which vocabulary word has the followingorigin?from Latin foeder- + -alA. federalizeB. federacyC. federalD. freelance Ian wants to promote his band on the internet. site a offers website hosting for $5 per month with a $50 start-up fee. site b offers website hosting for $15 per month with no start-up fee. for how many months will site b be less expensive than site a? The school store has 1500 pencils in stock and sells an average of 50 pencils per day. The manager reorders when the number of pencils in stock is 500. The manager will have to reorder in ___________ days What could happen if an organism could not maintain homeostasis James has $400 in a savings account. He wants to keep at least $225 in the account at all times. Each time James goes to play laser tag, he pays $35. Which graph shows how many times James can go to laser tag? What is the value of x in the equation 4x = 1,024? A.4B.256C.64D.5 name the accounting document or report that is completed just prior to preparing financial statements and assists in preparing the financial statements. Which tests that we havediscussed in this course use chi-squared distribution? Pleasedescribe them.