Find the general solution of x'1 = 3x1 - x2 + et, x'2 = x1.

Answers

Answer 1

Note that if [tex]{x_2}'=x_1[/tex], then [tex]{x_2}''={x_1}'[/tex], and so we can collapse the system of ODEs into a linear ODE:

[tex]{x_2}''=3{x_2}'-x_2+e^t[/tex]
[tex]{x_2}''-3{x_2}'+x_2=e^t[/tex]

which is a pretty standard linear ODE with constant coefficients. We have characteristic equation

[tex]r^2-3r+1=\left(r-\dfrac{3+\sqrt5}2\right)\left(r+\dfrac{3+\sqrt5}2\right)=0[/tex]

so that the characteristic solution is

[tex]{x_2}_C=C_1e^{(3+\sqrt5)/2\,t}+C_2e^{-(3+\sqrt5)/2\,t}[/tex]

Now let's suppose the particular solution is [tex]{x_2}_p=ae^t[/tex]. Then

[tex]{x_2}_p={{x_2}_p}'={{x_2}_p}''=ae^t[/tex]

and so

[tex]ae^t-3ae^t+ae^t=-ae^t=e^t\implies a=-1[/tex]

Thus the general solution for [tex]x_2[/tex] is

[tex]x_2=C_1e^{(3+\sqrt5)/2\,t}+C_2e^{-(3+\sqrt5)/2\,t}-e^t[/tex]

and you can find the solution [tex]x_1[/tex] by simply differentiating [tex]x_2[/tex].

Answer 2

Final answer:

To find the general solution of the given system of differential equations, first, solve the second equation for x1 in terms of x2. Then substitute x1 into the first equation and simplify to isolate x'2. Next, solve the second equation for x2 in terms of x1 and substitute x2 into the first equation. Simplify and rearrange to isolate x'1. Finally, solve the resulting differential equations to find the general solution.

Explanation:

To find the general solution of the given system of differential equations:
x'1 = 3x1 - x2 + et, x'2 = x1

Step 1: Solve the second equation for x1 in terms of x2:
x1 = x'2

Step 2: Substitute x1 into the first equation:
x'1 = 3(x'2) - x2 + et

Step 3: Simplify and rearrange the equation to isolate x'2:
x'2 = (x'1 + x2 - et)/3

Step 4: Solve the second equation for x2 in terms of x1:
x2 = x'1 - 3x'2 + et

Step 5: Substitute x2 into the first equation:
x'1 = 3x1 - (x'1 - 3x'2 + et) + et

Step 6: Simplify and rearrange the equation to isolate x'1:
x'1 = (3x'2 + x'1 - 2et)/3

Now we have two differential equations for x'1 and x'2 in terms of each other. These can be solved using standard methods to find the general solution.

Related Questions

if possible find the area of the triangle defined by the following: a=32, b=24, y=75°

Answers

If y=75 degrees is the angle between sides a and b, then yes, it is possible to calculate the area of the triangle.

To answer further, we use the sine function to do the calculation.
The area is given by
Area = absin(y)/2 = 32*24*sin(75)/2 = 370.92 to two decimal places.

What does the random variable for a binomial experiment of n trials measure?the random variable measures the number of successes out of n trials.the random variable measures the number of failures out of n trials. the random variable measures the standard deviation of n trials.the random variable measures the mean of n trials?

Answers

My answer is the random variable measures the number of successes out of n trials.

A binomial random variable is defined as the number of successes x in n repeated trials of a binomial experiment. It is more feasible to measure the number of successes than the number of failures because the more successes you have, the nearer you are to your desired goal in a binomial experiment.

Answer:

The random variable measures the number of successes out of n trials.

kenny wants to buy gifts for all 18 of his co workers. He can buy t shirts for $10 and hats for $12. He plans on spending $200 for all 18 gifts. If Kenny wants to spend all of his money, how many of each type of gift can he buy?

Answers

10 hats, 8 t shirts = 18
10X12=120 8X10=80 12+80=200

Let x be a random variable that takes integer values and is symmetric, that is, p(x = k) = p(x = âk) for all integers k. what is the expected value of y = cos(xÏ) and y = sin(xÏ)?

Answers

Without knowing how [tex]X[/tex] is distributed, or what its PMF happens to be, we can't completely answer the question. However, recall that

[tex]\cos(-kx)=\cos kx[/tex]
[tex]\sin(-kx)=-\sin kx[/tex]

If [tex]Y=\cos(\pi X)[/tex], then

[tex]\mathbb E[Y]=\displaystyle\sum_{k\in\mathbb Z}\cos(k\pi)\,\mathbb P(X=k)[/tex]

By the symmetry of [tex]X[/tex],

[tex]\mathbb E[Y]=\mathbb P(X=0)+2\displaystyle\sum_{k\ge1}\cos(k\pi)\,\mathbb P(X=k)[/tex]

Splitting on the even and odd [tex]k[/tex], and using the fact that [tex]\cos(k\pi)=(-1)^k[/tex] for [tex]k\in\mathbb Z[/tex], we can write this as

[tex]\mathbb E[Y]=\mathbb P(X=0)+2\displaystyle\sum_{\ell\ge1}\bigg(\mathbb P(X=2\ell)-\mathbb P(X=2\ell-1)\bigg)[/tex]

but without knowing how [tex]X[/tex] is distributed, we can't go any further as far as I'm aware.

For [tex]Y=\sin(\pi X)[/tex], we would have

[tex]\mathbb E[Y]=\mathbb E[\sin(\pi X)]=\displaystyle\sum_{k\in\mathbb Z}\sin(k\pi)\,\mathbb P(X=k)[/tex]

but [tex]\sin(k\pi)=0[/tex] for all integers [tex]k[/tex]. Thus [tex]\mathbb E[\sin(X\pi)]=0[/tex].

Final answer:

The expected value of y = cos(xÏ) is 0 and the expected value of y = sin(xÏ) is also 0, due to the symmetry of the random variable x.

Explanation:

The expected value (mean) of y = cos(x Ï) is 0.

The expected value (mean) of y = sin(x Ï) is also 0.

Since the random variable x is symmetric, the probability of both positive and negative values cancel out, resulting in an expected value of 0 for both cosine and sine functions.

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HELP SUPER FAST PLS A rectangular cardboard has dimensions as shown. The length of the cardboard can be found by dividing its area by its width. What is the length of the cardboard in inches?

Rectangle with width labeled on the right, width equals 4 and 1 over 2 inches. Below the rectangle, it says, length equals question mark. Inside the rectangle, it says area equals 36 and 3 over 4 square inches

Answers

ok, so area/width=length

then they gave you mixed fractions
they want you to practice converting mixed fractions into improper fractions and dividing them

rmember, improper fractions are a/b where a>b sometimes

and also remember that [tex]\frac{\frac{a}{b}}{\frac{c}{d}}=\frac{ad}{bc}[/tex]

okie dokie

width
4 and 1/2=width
4+1/2=width
8/2+1/2=width
9/2=width

area=36 and 3/4
area=36+3/4
area=144/4+3/4
area=147/4

so area/width=length
[tex]\frac{\frac{147}{4}}{\frac{9}{2}}=length[/tex]
[tex]\frac{(147)(2)}{(4)(9)}=length[/tex]
[tex]\frac{294}{36}=length[/tex]
[tex]\frac{49}{6}=length[/tex]
[tex]\frac{48}{6}+\frac{1}{6}=length[/tex]
[tex]8+\frac{1}{6}=length[/tex]

so the length is [tex] 8 \space\ and \space\ \frac{1}{6} \space\ in[/tex]

Answer:

8 1/6

Step-by-step explanation:

hope it helps

x y
0 -3
2 5
3 9
4 13

Which equation matches the table?
A) y = x - 3
B) y = x + 3
C) y = 4x - 3
D) y = 4x + 3

Answers

Let's prove each one:
A) y=x-3
x=0→y=0-3→y=-3=-3 ok
x=2→y=2-3→y=-1 different to 5 No

B) y=x+3
x=0→y=0+3→y=3 different to -3 No

C) y=4x-3
x=0→y=4(0)-3=0-3→y=-3=-3 ok
x=2→y=4(2)-3=8-3→y=5=5 ok
x=3→y=4(3)-3=12-3→y=9=9 ok
x=4→y=4(4)-3=16-3→y=13=13 ok

D) y=4x+3
x=0→y=4(0)+3=0+3→y=3 different to -3 No

Answer: Option C) y=4x-3

Find the difference (7a-6b+7) - (8a-2)

Answers

Hey there!

Let's set up our expression:

(7a-6b+7)-(8a-2)

In order to simplify, we can use that subtraction sign and distribute it, using the distributive property. We have:

7a-6b+7-8a+2

Notice how it's plus two, because a negative times a negative two is a positive two. Now, it's a matter of finding the like terms and adding or subtracting them. These like terms can either have no variable, or have different coefficients but the same variable. That means our like terms are the 7a and -8a, and the 7 and 2. There's no like term for the 6b. That means we have:

(7a-8a) - 6b + (7+2) =

-a - 6b + 9

Hope this helps!

Find the solution of the differential equation that satisfies the given initial condition. du/dt = (2t+sec^2t)/2u, u(0) = -3

Answers

Consider, pls, this option (see the attachment) of 3 steps.

Quadrilateral ABCD is inscribed in this circle.

What is the measure of ∠A ?

Enter your answer in the box.

Answers

Since angle A and angle C are across from each other, they add to 180 degrees.
Given that angle C is 43 degrees
180 = 43 + A
subtract 43 from both sides
137 = A

Hope this helps!

Applying the inscribed quadrilateral conjecture, the measure of m∠A = 137°.

What is the Inscribed Quadrilateral Conjecture?

The inscribed quadrilateral conjecture states that the opposite angles in any inscribed quadrilateral in a circle measures up to 180 degrees.

Thus:

43° + m∠A = 180°

m∠A = 180 - 43

m∠A = 137°

Thus, applying the inscribed quadrilateral conjecture, the measure of m∠A = 137°.

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Martha is standing on a street corner in a big city, facing south. She walks 5 blocks to the south. Then, she turns right and walks 3 blocks. Then, she turns right as walks 2 blocks. Then, she turns right again and walks 1 block. Finally, she turns left and walks 5 blocks. What direction is she facing when she is done?

Answers

In the north direction, Martha facing if the Martha is standing on a street corner in a big city, facing south.

What is direction?

The four cardinal directions, sometimes known as cardinal points, are the four principal compass directions: north, east, south, and west, which are frequently abbreviated as N, E, S, and W.

We have:

Martha is standing on a street corner in a big city, facing south. She walks 5 blocks to the south.

Then, she turns right and walks 3 blocks. Then, she turns right as walks 2 blocks. Then, she turns right again and walks 1 block.

If we draw a line diagram, we will see:

She will be facing at North.

Thus, in the north direction Martha facing if the Martha is standing on a street corner in a big city, facing south.

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Find the number of positive integers not exceeding 1000 that are either the square or the cube of an integer

Answers

There are 10 perfect cubes between 1 and 1000 (namely cubes of 1-10)
There are 31 perfect squares between 1 and 1000 (squares from 1-31)
Out of these, 3 perfect squares are also perfect cubes,
{1^2=1^3, 8^2=4^3, 27^2=9^3}.

By the law of inclusion/exclusion, the number of positive integers not exceeding 1000 that are either the square or the cube of an integer
=10+31-3
=38

We want to find the number of positive integers not exceeding 1000 that are either the square or the cube of an integer.

We will get that there are 38 of these.

First, the squares:

To get the number of square numbers not exceeding 1000, we need to find the largest integer that when squared is equal or smaller than 1000.

This is given by:

√1000 = 31.6

Then the largest square number smaller than 1000 is given by:

31^2 = 961

From this, we can conclude that there are 31 integers not exceeding 100 that are the square of an integer.

For the cubes we do the same thing:

∛1000 = 10

The largest cube number that meets the condition is:

10^3 = 1000

Then there are 10 cube numbers that meet the condition.

Now we need to find the common numbers in bot groups (this is, numbers that are a cube and a square of two integers and that are smaller than 1000).

The numbers that meet this condition are:

1^2 = 1

1^3 = 1

64)

4^3 = 64

8^2 = 64

81)

9^3 = 279

27^2 = 729

These 3 numbers are in both groups, so we are counting them twice, thus we need to subtract 3 to the final result, in order to avoid counting the same number two times.

Then the total number of positive integers not exceeding 1000 that are either the square or the cube of an integer is:

31 + 10 - 3 = 38

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A city council consists of six democrats and five republicans. If a committee of seven people is selected, find the probability of selecting four Democrats and three republicans.

Answers

Use hypergeometric distribution where there are two categories of identical objects/persons, each with a know size.
d=number of Democrats selected
D=total number of Democrats = 6
r=number of Republicans
R=total number of Republicans =5
Then
[tex]P(d,r)=\frac{C(D,d)C(R,r)}{C(D+R,d+r)}[/tex]
where
[tex]C(n,r)=\frac{n!}{(n!(n-r)!)}[/tex] = combination of r items selected from n,
D+R=total number of members = 6+5 =11
d+r=number of members selected = 7

[tex]P(d,r)=\frac{C(D,d)C(R,r)}{C(D+R,d+r)}[/tex]
[tex]P(4,3)=\frac{C(6,4)C(5,3)}{C(6+5,4+3)}[/tex]
[tex]=\frac{C(6,4)C(5,3)}{C(11,7)}[/tex]
[tex]=\frac{15*10}{330}[/tex]
[tex]=\frac{5}{11}[/tex]

Answer: the probability of selecting 4 Democrats and 3 Republicans is 5/11

PLZ HELP!! 20 points!

Is (3,-2) the solution to this system of equations? show how you determined your answer.

-2x-4y=2
3x+4y=8

Answers

To find if a point is a solution to a system of equations, we need to plug in the x and y values of the point into each equation, and see if the equation is true.

Let's plug it into the first equation first:

-2(3) - 4(-2) might = 2
-6 + 8 = 2

The first equation is true.

Now, we need to check the second equation:

3(3) + 4(-2) might =8
9 - 8 does not = 8

Therefore, even if the point satisfies one equation, it does not satisfy the other. We can conclude that this is not a solution.

Hope this helps!

James Callahan has available a 10% alcohol solution and a 60% alcohol solution. Find how many liters of each solution he should mix to make 50 liters of a 40% alcohol solution?

Answers

Let
x-------------> liters of 10% alcohol solution
y-------------> liters of 60% alcohol solution

we know that
x+y=50----------------------> x=50-y-----------------> equation 1
0.10x+0.60y=0.40*50----------> 0.10x+0.60y=20---------> equation 2

substitute 1 in 2
0.10*(50-y)+0.60y=20---------> 5-0.10y+0.60y=20
5+0.50y=20------------> 0.50y=15-----------------> y=30
x+y=50----------> x=50-30---------> x=20

the answer is
20 liters of 10% alcohol solution
30 liters of 60% alcohol solution

What is the approximate volume of the cylinder with a height of 5 and a diameter of 4? round to the nearest tenths place

Answers

Formula for volume of cylinder:
V=πr²h
Here height, h= 5 units
Diameter, d= 4 units
So, radius, r= d/2 = 4/2 =2 units
Put values in formula.
V= (3.14)(2)²(5)
V=62.8 Cubic units

Answer: 62.8 cubic units

If one of the 99 test subjects is randomly selected, what is the probability of getting a subject who is pregnant?

Answers

Final answer:

To calculate the probability of selecting a pregnant subject from the 99 test subjects, the exact number of pregnant subjects in the group is needed. Without this data, the probability cannot be determined.

Explanation:

To ascertain the probability of randomly selecting a pregnant subject from a group of 99 test subjects, additional information is required regarding how many subjects are actually pregnant within the group. Without this information, we cannot compute an exact probability.

However, if we had data—let's say 15 out of the 99 subjects are pregnant—the probability would then be calculated using the formula for probability, which is the number of favorable outcomes divided by the total number of possible outcomes. In this scenario, the probability would then be 15/99.

Final answer:

Without specific information on the number of pregnant subjects among the 99 test subjects, it's impossible to compute the exact probability of randomly selecting a pregnant subject.

Explanation:

To answer the question about the probability of randomly selecting a pregnant subject from the 99 test subjects, we would need to know the number of pregnant subjects within the group. Without that information, we cannot calculate the exact probability. However, if we had that information, the probability (P) of selecting a pregnant subject would be calculated as P = (Number of Pregnant Subjects) / (Total Number of Subjects), which in this case is 99.

This is an example of a probability question that falls under the broader subject of mathematics, specifically within the topic of probability and statistics commonly covered at the high school level.

Francisca purchased 425 shares of Kellogg Company stock at $14.15 apiece. She earns $374.00 in dividends every year. What is the yield on Francisca's Kellogg Company stock?

Answers

Her yield on cost is 6.22%.

This is found by dividing the dividend per share by the cost per share. Since she earned $374 on 425 shares, her dividend per share is 374/425=$0.88. Divide this by the cost per share:

0.88/14.15= 0.06219 ≈ 6.22%.

Jose and Sue are playing a board game. If they land on a red or blue square, they lose 1 point. The inequality statement compares the magnitude of their scores at the end of the game. |−2|<|−5| What does the inequality statement show?

Answers

Final answer:

The inequality statement |−2|<|−5| shows that 2 is less than 5.

Explanation:

In mathematics, an inequality compares two expressions or values, indicating their relative size. Symbols such as < (less than), > (greater than), ≤ (less than or equal to), and ≥ (greater than or equal to) represent inequalities.

The inequality statement |−2|<|−5| compares the magnitude of two numbers, -2 and -5. To find the absolute value of a number, we remove the negative sign. So, |−2| is equal to 2 and |−5| is equal to 5. Therefore, the inequality statement |−2|<|−5| means that 2 is less than 5.

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Emily measures 3 pieces of string. The first piece measures 642 cm. The second piece measures 124 cm, and the third piece is 134 cm. How many meters of string does she have altogether? (hint: 1 meter equals 100 centimeters)

Answers

9 meters. 642 + 124 + 134 = 900, there are 100 centimeters in a meter, so 900 / 100 = 9.

One positive integer is 6 less than twice another. The sum of their squares is 468. Find the integer

Answers

I think I deserve your points and brainliest :^)

The two integers are 12 and 18.

What is an equation?

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

Given that, one positive integer is 6 less than twice another.

Let positive integer be x and the other positive integer is 2x-6

x²+(2x-6)²=468

x²+4x²-24x+36=468

5x²-24x+36-468=0

5x²-60x+36x-432=0

5x(x-12)+36(x-12)=0

(x-12)(5x+36)=0

(x-12)=0

x=12

So, 2x-6=18

Therefore, the two integers are 12 and 18.

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Hayden is a manager at a landscaping company. He has two workers to landscape an entire park, Cody and Kaitlyn. Cody can complete the project in 8 hours. Kaitlyn can complete the project in 6 hours. Hayden wants to know how long it will take them to complete the project together.

Write an equation and solve for the time it takes Cody and Kaitlyn to complete the project together. Explain each step.

Answers

Answer: 3.4 h

Explanation:

1) The basis to solve this kind of problems is that the speed of working together is equal to the sum of the individual speeds.

This is: speed of doing the project together = speed of Cody working alone + speed of Kaitlyin working alone.

2) Speed of Cody

Cody can complete the project in 8 hours => 1 project / 8 h

3) Speed of Kaitlyn

Kaitlyn can complete the project in 6 houres => 1 project / 6 h

4) Speed working together:

1 / 8 + 1 / 6 = [6 + 8] / (6*8 = 14 / 48 = 7 / 24

7/24 is the velocity or working together meaning that they can complete 7 projects in 24 hours.

Then, the time to complete the entire project is the inverse: 24 hours / 7 projects ≈ 3.4 hours / project.Meaning 3.4 hours to complete the project.

Denote all work that should be done as 1. Then if Cody can complete the project in 8 hours, he can do [tex] \frac{1}{8} [/tex] per hour and if Kaitlyn can complete the project in 6 hours, then she can do [tex] \frac{1}{6} [/tex] per hour. Together they complete [tex] \frac{1}{8}+\frac{1}{6} [/tex] per hour.

Simplify this expression:

[tex] \dfrac{1}{8} +\dfrac{1}{6} =\dfrac{3}{24} +\dfrac{4}{24}=\dfrac{7}{24} [/tex].

Then it will take them to complete the project together [tex] \dfrac{1}{\frac{7}{24}} =\dfrac{24}{7} =3\dfrac{3}{7} [/tex] hours

Answer: It will take them to complete the project together [tex] 3\dfrac{3}{7} [/tex] hours.

108+621 is the same as 100+ what

Answers

I think the answer you looking for is 629

What is the circumference of circle p? Express your answer in terms of pi , ab = 14

Answers

C=2πr hope this helps have a great day

Answer:

14 pi in.

Step-by-step explanation:

hop this helps!

A hiker maintains an average speed of 3 3 /4 km/h. How many kilometers will the hiker walk in 3/5 h

Answers

Answer:

2 1/4

Step-by-step explanation:

3 3/4 times 3/5= 15/4 times 3/5=45/20=9/4=2 1/4

I did this because speed times time equals distance and we are finding distance

HOPE THIS HELPS!!!!! :)

The distance walked in 3/5 hours is 2(1/4) km.

What is speed?

Speed is the ratio of distance and time.

It shows how fast an object is moving at a given time.

We have,

Average speed = 3(3/4) km per hour

This can be written as,

3(3/4) km = 1 hour

15/4 km = 1 hour

Multiply 3/5 on both sides.

3/5 x 15/4 km = 3/5 hours

9/4 km = 3/5 hours

2(1/4) km = 3/5 hours

Thus,

2(1/4) km is walk in 3/5 hours.

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Answers

Melinda has a map of her city the map uses a scale of 1 inch equals 8 miles when does house is 1 1/2 inches from the library on the map how far apart with her house in the library be on the map if the scale is 1 inch equals 6 miles

So, the house is 12 miles away from the library because 1 1/2*8 is 12. Now, Just divide 12 by the new rate, 6, to get 2. Your answer is 2 boxes away.

Hope this helped!

A carpenter builds a rectangular bookcase that is 37 inches long and 60 inches tall. the carpenter uses two braces along the diagonals to support the bookcase. what is the length of the one of the braces, to the nearest tenth of a inch?

Answers

The diagonal of the rectangle can be calculated by using the Pythagorean Theorem , because the diagonal and the two sides , length and width, of the rectangle , makes a right triangle .

Now we have the measure of length and width and we have to find the measure of diagonal

So according to the Pythagorean theorem

[tex] d^2 = a^2 +b^2 [/tex]

where , d is the diagonal , a is the length and b is the width

lets plug the values

[tex] d^2 = 37^2 +60^2 [/tex]

[tex] d^2 = 1369+3600 [/tex]

[tex] d^2 = 4969 [/tex]

Taking square root on both sides

d=70.49 Inches

d=70.5 inches

hence the length of one of the braces is 70.5 inches

Which equivalent expression will be generated by applying the Distributive Property and combining like terms in the expression 11 + 4(x + 2y + 4)?

Answers

11 + 4(x + 2y + 4)
= 11 + 4x + 8y + 16 ..........distributive property
= 4x + 8y + 27 .................combine like terms

Please help me with questions 8 and 9

Answers

Problem 8

Answer: Choice A
Coordinates have been multiplied by a scale factor of 0.5

For instance
A = (-3, 4)
Multiply the coordinates by 0.5 to get
-3*0.5 = -1.5
4*0.5 = 2
So the coordinates of A' are (-1.5, 2) which is what matches what we're given above. The same will happen with B and C as well.

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

Problem 9

Answer: choice C) x = 25; larger angle is 107 degrees

Work Shown:
(3x+32)+(x+48) = 180
4x+80 = 180
4x = 100
x = 25
If x = 25, then,
3x+32 = 3*25+32 = 107
x+48 = 25+48 = 73
So the larger angle is 107

Two cones have a radius of 2 cm. The height of one cone is 8 cm. The other cone is 14 that height. Which of these statements is NOT true?

Answers

the correct question is
Two cones have a radius of 2 cm. The height of one cone is 8 cm. The other cone is 1/4 that height. Which of these statements is NOT true?

the statements in the attached figure

we know that
r=2 cm
h1=8 cm
h2=(1/4)*8=2 cm
[Volume of cone 1]=(π*r²*h)/3--------> (π*2²*8)/3= 33.49 cm³
[Volume of cone 2]=(π*r²*h)/3--------> (π*2²*2)/3---------> 8π/3= 8.37 cm³

Statements A)
The volume of the smaller cone is (1/4)(1/3π • 2 • 2 • 8) cm3---------> is true

Statements B)
The volume of the smaller cone is (1/3)(4π • 2) cm3.-----------> is true

Statements C)
The volume of the smaller cone is (8/3)π cm3. -----------> is true

Statements D)
The volume of the smaller cone cannot be determined because its height is unknown-----------> is not true

the answer is the Statements D)
The volume of the smaller cone cannot be determined because its height is unknown-----------> is not true

Solve using the arrow way
430-230?

Answers

To substract the numbers shown by the method known as the "Arrow way" you must rewrite 430 and substract the hundredths (In this case, it is 200). Then you have to substract the tenths to that result (Result obtained-30). This explanation is shown below:

430 --( -200 )---> 230 --( -30 )---> 200

Therefore, the solution of the mathematical operation 430-230, using the arrow way, is: 200

Other Questions

Write a balanced equation for the thermal dehydration barium chloride Amy performed an experiment in lab. She improperly mixed the chemicals, and an explosion of light, sound, and heat occurred. When Amy mixed the chemicals, energy was _______. A. stabilized B. created C. destroyed D. transformed Spark caused when electricity in a thunderhead discharges You can see that an apple is red because the red wavelength is ______________off the apple and all other colors are __________________. *A. absorbed; reflectedB. reflected; absorbedC. transmitted; reflectedD. transmitted; absorbed Given: a quadrilateral with sides of 12 yards, 14 yards, 16 yards, and 18 yards. On a drawing, 1 inch = 2 yards, how long are the sides of the quadrilateral on the drawing? A. 6,7,8 and 9 inches B. 24,28,32 and 36 inches C. 60, 70, 80 and 90 inches A patient with a history of congenital disorders has developed purple spots on the skin. What condition is he probably suffering from? 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Under theseconditions, competitive market forces would tend to cause the price to (increase / decrease) to aprice of $ _______ per greebe.And, at this new price, buyers would now want to buy _______ million greebes, and sellers wouldwant to sell _______ million greebes. Due to this change in (price / underlying conditions), the(demand / quantity demanded) changed by _______ million greebes, and the (supply / quantitysupplied) changed by _______ million greebes. Read the excerpt from "The Lady Maid's Bell." But that wasnt the only queer thing in the house. The very next day I found out that Mrs. Brympton had no nurse; and then I asked Agnes about the woman I had seen in the passage the afternoon before. Agnes said she had seen no one, and I saw that she thought I was dreaming. To be sure, it was dusk when we went down the passage, and she had excused herself for not bringing a light; but I had seen the woman plain enough to know her again if we should meet. I decided that she must have been a friend of the cooks, or of one of the other women servants: perhaps she had come down from town for a nights visit, and the servants wanted it kept secret. Some ladies are very stiff about having their servants friends in the house overnight. At any rate, I made up my mind to ask no more questions. Which statement describes a gothic element in this excerpt that reflects a social attitude of Whartons time? The narrator feels inadequate when she reports seeing a supernatural being and nobody believes her. The narrator feels like she lacks control of her own fate when her superiors refuse to answer her questions. The narrator is dismissed by her superiors when she asks questions about an occurrence that may have been supernatural. The narrator fears that she may be doomed when she witnesses a strange woman walking around the home. Who led the first attempt to create a canal through central america to connect the atlantic and pacific oceans and what country was he from? Find the fifth term of an=2(-1) n What mood has the writer attempted to create in this paragraph?Oh! No mortal could support the horror of that countenance. A mummy again endued with animation could not be so hideous as that wretch. I had gazed on him while unfinished; he was ugly then, but when those muscles and joints were rendered capable of motion, it became a thing such as even Dante could not have conceived.(from Frankenstein by Mary Shelley)A.empathyB.disgustC.angerD.anxiety Which term does NOT apply to sodium chloride? Question 1 options: A: molecule B: crystal C: compound D: ionic bonding Less than 40 percent of teens have used marijuana within the past year Which conclusion accurately explains Africa's economic and government problems after independence. 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