Jane cuts a foam block along the red line. When she looks at the newly
exposed face, what is the shape of the cross-section?

Answer:

a tree was 5 meters tall. a person used a chainsaw to cut 1/4 of the tree. how tall is the tree now?

also, please don't copy the answer word for word.

Applying the Ratio Test

with an​=n!∣x∣n​ shows that the series ∑n=1[infinity]​n!xn​

a) converges absolutely for all x ∈ R.

b) converges only if x = 0.

A series is convergent when the sequence of partial sums, which are the sums of the first n terms in the series, approaches a finite limit as n approaches infinity.

In other words, the series has a sum that can be found. On the other hand, a series is divergent if the sequence of partial sums does not approach a finite limit.

This means the series does not have a sum. So, to determine if a series is convergent or divergent, analyze the behavior of its sequence of partial sums.

\(\lim_{n \to \infty} \frac{a_{n+1}}{a_n}= \lim_{n \to \infty} |\frac{x^{n+1}}{(n+1)!} \times\frac{n!}{x^n} |=|x| \lim_{n \to \infty} \frac{1}{n+1}=0\)

\(\lim_{n \to \infty} |\frac{a_{n+1}}{a_n} |=0 < 1\)

Therefore, this series is converges absolutely for all x.

Learn more about converges  here:

https://brainly.com/question/33150943

#SPJ4

Comparing the lengths of the sides, we can see that BC = CD, but BD ≠ BC or CD. Therefore, the equality that proves triangle BCD is isosceles is BC = CD.

To determine if triangle BCD is isosceles, we need to compare the lengths of its sides.

The lengths of the sides can be calculated using the distance formula:

d = √((x2 - x1)^2 + (y2 - y1)^2)

Let's calculate the lengths of the sides BC, CD, and BD:

BC = √((11 - 8)^2 + (13 - 2)^2) = √(9 + 121) = √130

CD = √((2 - 11)^2 + (6 - 13)^2) = √(81 + 49) = √130

BD = √((2 - 8)^2 + (6 - 2)^2) = √(36 + 16) = √52

Comparing the lengths of the sides, we can see that BC = CD, but BD ≠ BC or CD. Therefore, the equality that proves triangle BCD is isosceles is BC = CD.

Learn more about isosceles here

https://brainly.com/question/32587870

#SPJ11

Answer:

Well in order to find the y-intercept, the “x” has to be 0. To find that we need to find the pattern and to ind the pattern you would need to find the slope. The slope is -4 or 4/ -1

So the Y is 4 and the X is -1

So use that to add or subtract for the pattern

1, -4

0, 0

The y- Intercept is 0 or option (A)

y = (-1/2)x + 4 is the equation for the linear function with an x-intercept of 8 and a y-intercept of 4.

We are aware that lines might have several kinds of equations; the typical form is

The equation of a line in slope-intercept form is Ax + By + c = 0, and

y = mx + b.

m is the slope, and b is the y-intercept.

The y-intercept, or (0,b), is the point where the line crosses the y-axis at x = 0. The slope represents the rate of change of the y-axis relative to the x-axis.

Given, An x-intercept for a linear function is 8, and a y-intercept is 4.

The two points on the line are therefore (8, 0) and (0, 4).

Slope(m) is now equal to (4 - 0)/(0 - 8).

m slope = 4/8.

slope(m) equals -1/2.

With a y-intercept of 4, it represents the value of b in the equation y = mx + b.

Consequently, the equation is y = (-1/2)x + 4 is linear.

To learn more about slope-intercept form refer,

brainly.com/question/3605446

#SPJ4

Answer:

Step-by-step explanation:

The slope of the line would be the constant of proportionality for the line

shown. The point (35, 49) is really close the line which would make the

constant of proportionality 49/35 = 7/5. The equation of the line would be y =

7/5x. The number of loaves of bread from 85 pounds of flour would be

7/5(85) = 119 loaves.

Step-by-step explanation:

Magnitude = sqrt ( (-12)^2 + (-4)^2 ) = sqrt 160 = 12.649

Angle = arctan(-4/-12) = 198 degrees

The Magnitude: 12.649 and Direction: 18° (option c).

To find the magnitude and direction of the vector v = (-12, -4), we can use the following formulas:

Magnitude (or magnitude) of v = |v| = √(vₓ² + \(v_y\)²)

Direction (or angle) of v = θ = arctan(\(v_y\) / vₓ)

where vₓ is the x-component of the vector and \(v_y\) is the y-component of the vector.

Let's calculate:

Magnitude of v = √((-12)² + (-4)²) = √(144 + 16) = √160 ≈ 12.649 (rounded to the thousandths place)

Direction of v = arctan((-4) / (-12)) = arctan(1/3) ≈ 18.435°

Since we need to round the direction to the nearest degree, the direction is approximately 18°.

So, the correct answer is:

Magnitude: 12.649 (rounded to the thousandths place)

Direction: 18° (rounded to the nearest degree)

The correct option is: 12.649; 18°

To know more about Magnitude:

https://brainly.com/question/31022175

#SPJ2

Answer:

Square Root of 40 to the Nearest Tenth

Square Root to the nearest tenth

Square Root of 40 to the nearest tenth, means to calculate the square root of 40 where the answer should only have one number after the decimal point.

Here are step-by-step instructions for how to get the square root of 40 to the nearest tenth:

Step 1: Calculate

We calculate the square root of 40 to be:

√40 = 6.32455532033676

Step 2: Reduce

Reduce the tail of the answer above to two numbers after the decimal point:

6.32

Step 3: Round

Round 6.32 so you only have one digit after the decimal point to get the answer:

6.3

To check that the answer is correct, use your calculator to confirm that 6.32 is about 40.

Step-by-step explanation:

Pls mark brainliest tyy!!

Square Root of 40 to the Nearest Tenth would be equal to 6.3

A perfect square is a number system that can be expressed as the

square of a given number from the same system.

We need to find the Square Root of 40 to the nearest tenth, means to calculate the square root of 40 where the answer should only have one number after the decimal point.

Here the square root of 40 to the nearest tenth:

We calculate the square root of 40 to be:

√40 = 6.32455532033676

Now we have to Reduce the tail of the answer above to two numbers after the decimal point:

6.32

Then Round 6.32 so only have one digit after the decimal point to get the answer:

6.3

Learn more about perfect square;

https://brainly.com/question/385286

#SPJ2

Answer:

3/20 is the answer.......

Jeremiah will pay approximately $1,685.17 as the monthly payment, a total of approximately $60,665.04 over the life of the loan, and approximately $5,665.04 in interest.

To calculate the monthly payment using the TVM (Time Value of Money) Solver, we need to use the following variables:

PV (Present Value): $55,000

i (Interest Rate per period): 6.55% per year / 12 (since it's compounded monthly)

n (Number of periods): 3 years * 12 (since it's compounded monthly)

PMT (Payment): The monthly payment we need to calculate

FV (Future Value): 0 (since we're assuming the loan will be fully repaid)

Using these variables, we can set up the equation in the TVM Solver to find the monthly payment:

PV = -PMT * ((1 - (1 + i)^(-n)) / i)

Substituting the values:

$55,000 = -PMT * ((1 - (1 + 0.0655/12)^(-3*12)) / (0.0655/12))

Now we can solve for PMT:

PMT = $55,000 / ((1 - (1 + 0.0655/12)^(-3*12)) / (0.0655/12))

Calculating this equation gives the monthly payment:

PMT ≈ $1,685.17

b. The total amount Jeremiah ends up paying can be calculated by multiplying the monthly payment by the total number of periods (n):

Total Amount = PMT * n

Total Amount ≈ $1,685.17 * (3 * 12)

Total Amount ≈ $60,665.04

c. The amount of interest Jeremiah will pay over the life of the loan can be calculated by subtracting the initial loan amount (PV) from the total amount paid:

Interest = Total Amount - PV

Interest ≈ $60,665.04 - $55,000

Interest ≈ $5,665.04

Therefore, Jeremiah will pay approximately $1,685.17 as the monthly payment, a total of approximately $60,665.04 over the life of the loan, and approximately $5,665.04 in interest.

Learn more about variables here:

https://brainly.com/question/29583350

#SPJ11

The student covers a total distance of 22.05 kilometers in a week's time, walking between the park and the house each day.

To find the total distance covered by the student in a week's time, we need to calculate the distance covered in one round trip (from the house to the park and back) and then multiply it by the number of round trips in a week.

Given that the difference between the park and house is 1 kilometer and 575 meters, we can convert it to a total distance of 1.575 kilometers.

In a round trip, the student covers twice the distance between the park and the house, which is 1.575 kilometers * 2 = 3.15 kilometers.

Now, we need to determine how many round trips the student makes in a week. Let's assume the student makes one round trip each day.

Since there are 7 days in a week, the total distance covered by the student in a week's time is 3.15 kilometers * 7 = 22.05 kilometers.

for similar questions on distance.

https://brainly.com/question/26046491

#SPJ8

Answer:

Step-by-step explanation:

Find the graph attached. The formula for finding the equation of a line is expressed as:

y = mx+c

m is the slope

c is the intercept (point where the line cuts the y axis)

m = y2-y1/x2-x1

Using the coordinate (1,22) and (4, 40) to calculate the slope of the line, we will have:

m = 40-22/4-1

m = 18/3

m = 6

For the intercept:

From the grapg, it can be seen that the line cuts the y axis at y = 18. Hence the intercept c = 18

The equation of the line will be:

y = 6x+18

Substitute y = 134 into the formula to get x as shown:

134 = 6x+18

134-18 = 6x

116 = 6x

x = 116/6

x = 19.33

180° rotation rule  (x, y) → (–x, –y)..

Triangle XYZ is rotated to create the image triangle X'Y'Z'. On a coordinate plane, 2 triangles are shown.

The first triangle has points X (-5, 3), Y (-2, 3), Z (2, 1).

The second triangle has points X prime (5, - 1), Y prime (5, - 4), Z prime

(3, - 4).

Here the sign of both coordinates has been changed but the magnitude remains same.

So, the rule is  (x, y) → (–x, –y)  which is for 180° rotation.

Hence, the  180° rotation rule  (x, y) → (–x, –y).

Learn more about Triangle at:

https://brainly.com/question/16304905

#SPJ4

Answer:

0.43

Step-by-step explanation:

First, we convert the fraction to a decimal number by dividing the numerator by the denominator:

3 / 7 = 0.428

There are two parts to the decimal number above:

Integer Part: 0

Fractional Part: 428

Now, we will make the Fractional Part just two digits (nearest hundredth) by using our rounding rules.*

In this case, Rule II applies, so 3/7 (or 0.428) rounded to the nearest hundredth in decimal format is:

0.43

Next, we will make 3/7 rounded to the nearest hundredth in fraction format. Since you can divide our decimal format answer above by 1 and keep the same value, you can make it like this:

0.43 = 0.43/1

Then, we multiply the numerator and denominator by 100 to get rid of the decimal point:

(0.43 x 100) / (1 x 100) = 43/100

That's it. 3/7 rounded to the nearest hundredth is displayed below (simplified if necessary):

43/100

Fritz et al. (2019) conducted an experimental study where high school students were randomly assigned to either write weekly gratitude letters or list their daily activities each week.

The study conducted by Fritz et al. (2019) involved randomly assigning high school students to either write weekly gratitude letters or list their daily activities each week. To determine the type of study conducted, we need to consider the answer choices: correlational, naturalistic, experimental, and observational.
In this case, the study can be classified as an experimental study. This is because the researchers assigned participants to specific conditions (gratitude letters or daily activity lists) and observed the effects of these conditions on the participants' outcomes.

By randomly assigning the participants to the different groups, the researchers aimed to minimize any pre-existing differences between the groups, making it possible to draw causal conclusions about the impact of the intervention (gratitude letters or daily activity lists).
In conclusion, Fritz et al. (2019) conducted an experimental study where high school students were randomly assigned to either write weekly gratitude letters or list their daily activities each week.

To know more about experimental visit:

https://brainly.com/question/33446957

#SPJ11

Answer:

1.25 km in 1 minute

125 km in 100 minutes

Step-by-step explanation:

Find its speed in km/min by dividing the km by number of minutes:

7.5/6

= 1.25

So, the train goes 1.25 km in 1 minute.

Using this speed, find how far it goes in 100 minutes, by multiplying the speed by 100:

1.25(100)

= 125

So, in 100 minutes, the train goes 125 km.

a. The distance travelled by the train in 1 minute, at a constant speed is 1.25 kilometers.

b. The distance travelled by the train in 100 minute, at a constant speed is 125 kilometers.

Given the following data:

To find how far (distance) the train go in 1 minute, we would use direct proportion:

7.5 kilometers = 6 minutes

X kilometers = 1 minute

Cross-multiplying, we have:

\(6 \times X = 7.5\\\\X = \frac{7.5}{6}\)

X = 1.25 kilometers.

b. To find how far (distance) the train go in 100 minute:

Since the train travels 1.25 kilometers in 1 minute, we would multiply that distance by 100.

\(D(100) = 1.25 \times 100\\D(100) = 125 \; kilometers\)

Distance = 125 kilometers.

Read more: https://brainly.com/question/18676621

Answer:

8

Step-by-step explanation:

Because 48 divided by 6 is 8

There are 8 rotten oranges in 48 oranges.

The quantitative relation between two amounts that shows the number of times one value is contained within the other.

It is given that the total number of oranges is 48.

It is also given that one in every six oranges is rotten. This means that the ratio of rotten oranges to total oranges = 1/6

We can find the total number of rotten oranges in 48 oranges as shown below:

48 * 1/6

= 8 oranges.

There are 8 rotten oranges in 48 oranges.

Therefore, we have determined that there are 8 rotten oranges in 48 oranges.

Learn more about ratios here: https://brainly.com/question/2328454

#SPJ2

Answer:

Its 9 im preety sure

Step-by-step explanation:

Answer:  First three terms are 1/25, 1/5, and 1 in that order.

===========================================================

Explanation:

The fifth term is 25, which makes the fourth term to be 25*(1/5) = 5. We multiply any term by the reciprocal of the common ratio to move back to the previous term.

The third term is 5*(1/5) = 1. The second term is 1*(1/5) = 1/5. The first term is (1/5)*(1/5) = 1/25

Therefore, the first five terms are:

1/25, 1/5, 1, 5, 25

As we move from left to right, we multiply each term by 5. Going in reverse, we multiply by 1/5.

The first three terms of the sequence are 0.04, 0.2, and 1.0.

A geometric sequence is a sequence of numbers in which the ratio between consecutive terms is constant.

We have,

To find the first three terms of a geometric sequence, we need to use the formula for the nth term of a geometric sequence:

\(a_n = a_1 \times r^{n-1}\)

where \(a_n\) is the nth term of the sequence, \(a_1\) is the first term, r is the common ratio, and n is the number of the term we want to find.

We are given that,

\(a_5\) = 25 and r = 5.

We can use this information to find \(a_1\):

\(a_5 = a_1 \times r^{5-1}\)

\(25 = a_1 \times 5^4\)

25 = \(a_1\) x 625

\(a_1\) = 25/625

\(a_1\) = 0.04

Now that we have found \(a_1\), we can use the formula to find the first three terms of the sequence:

\(a_1\) = 0.04

\(a_2\) = 0.04 x 5 = 0.2

\(a_3\) = 0.04 x 5² = 1.0

Therefore,

The first three terms of the sequence are 0.04, 0.2, and 1.0.

Learn more about geometric sequence here:

https://brainly.com/question/2321576

#SPJ7

Answer:

a=8 b=15 c=17

Step-by-step explanation:

hope this helps

Answer:

D. 1/4

Step-by-step explanation:

The probability of flipping a tail is 1/2. To find the probability of flipping two tails, multiply.

1/2 x 1/2 = 1/4

Answer: Here we will learn how to find the probability of tossing two coins.

Let us take the experiment of tossing two coins simultaneously:

When we toss two coins simultaneously then the possible of outcomes are: (two heads) or (one head and one tail) or (two tails) i.e., in short (H, H) or (H, T) or (T, T) respectively; where H is denoted for head and T is denoted for tail.

Therefore, total numbers of outcome are 22 = 4

The above explanation will help us to solve the problems on finding the probability of tossing two coins.

Step-by-step explanation:

THE ANSWER MUST BE AT LEAST 1/4 OR 1/8

IF THAT IS WRONG LET ME KNOW!

AND IF YOU NEED A TUTOR I AM OPEN FOR HELP JUST CONTACT ME IF YOU HAVE ANY QUESTIONS!

Answer:

(6, 2)

Step-by-step explanation:

3(6) - 2 = 16

6 - 5(2) = -4

Answer:

25.7 cm

Step-by-step explanation:

Answer:

60 points is the right answer

Step-by-step explanation:

Answer:

ya

Step-by-step explanation:

To solve x:

1- Use distributive property to remove the parenthesis:

2- Subtract 21 in both sides of the equation:

3- Divide both sides of the equation into -9:

Answer:

200,000 i don't know apologies if it's wrong

Step-by-step explanation:

100,000*.20*10

200,000*10

200,000

On solving the provided question, we can say that it is right angle triangle provided, so  cos 60 = 3/H => 1/2 = 3/H => H = 6

A triangle is a polygon since it has three sides and three vertices. It is one of the basic geometric shapes. The name given to a triangle containing the vertices A, B, and C is Triangle ABC. A unique plane and triangle in Euclidean geometry are discovered when the three points are not collinear. Three sides and three corners define a triangle as a polygon. The triangle's corners are defined as the locations where the three sides converge. 180 degrees is the result of multiplying three triangle angles.

it is right angle triangle provided,

so

cos 60 = 3/H

1/2 = 3/H

H = 6

To know more about triangle visit:

https://brainly.com/question/2773823

#SPJ1

Answer:

57 1/10

(14× 3/4)+(4× 1/2)+(8× 1/2)+(10× 2/5)+(10× 2/5)+(12× 4/5)= 571/10 or 57× 1/10

Answer: 8.1

Step-by-step explanation:

In the water hazard of the miniature golf park, there are a total of 50 golf balls. Among these balls, 14 out of every 35 are blue, while the remaining 21 out of 35 are yellow.

To determine the number of yellow golf balls, we can set up a proportion using the given information. By cross-multiplying and solving the equation, we find that there are 30 yellow golf balls in the water hazard. Let's set up a proportion to find the number of yellow golf balls. We know that there are 14 blue golf balls for every 21 yellow golf balls. So the ratio of blue to yellow golf balls is 14:21, which can be simplified to 2:3.

Now, we can set up the proportion:

2/3 = 14/x,

where x represents the total number of golf balls in the water hazard.

To solve for x, we cross-multiply:

2x = 3 * 14,

2x = 42.

Dividing both sides of the equation by 2, we find:

x = 21.

Thus, the total number of golf balls in the water hazard is 21.

To find the number of yellow golf balls, we can use the ratio 21:35, which simplifies to 3:5.

Setting up the proportion:

3/5 = x/21.

Cross-multiplying:

3 * 21 = 5x,

63 = 5x.

Dividing both sides by 5:

x = 12.6.

Since we cannot have a fraction of a golf ball, we round down to the nearest whole number. Therefore, there are 30 yellow golf balls in the water hazard.

To learn more about golf click here: brainly.com/question/17025544

#SPJ11