If a triangle is not equilateral, the triangle is not equiangular.

The data includes a concave mirror with a radius of curvature of +31.5 cm and magnification of m = 3.40. The formula for magnification is m = v/u, and the focal length is f = r/2. Substituting the values, we get u = v/m, and using the mirror formula, the distance of the object from the mirror is 10.15 cm.

Given data: Radius of curvature of a concave mirror, r = +31.5 cm Magnification produced by the mirror, m = 3.40

We know that the formula for magnification is given by:

m = v/u where, v = the distance of the image from the mirror u = the distance of the object from the mirror We also know that the formula for the focal length of the mirror is given by :

f = r/2where,f = focal length of the mirror

Using the mirror formula:1/f = 1/v - 1/u

We know that a concave mirror has a positive focal length, so we can replace f with r/2.

We can now simplify the equation to get:1/(r/2) = 1/v - 1/u2/r = 1/v - 1/u

Also, from the given data, we have :m = v/u

Substituting the value of v/u in terms of m, we get: u/v = 1/m

So, u = v/m Substituting the value of u in terms of v/m in the previous equation, we get:2/r = 1/v - m/v Substituting the given values of r and m in the above equation, we get:2/31.5 = 1/v - 3.4/v Solving for v, we get: v = 22.6 cm Now that we know the distance of the image from the mirror, we can use the mirror formula to find the distance of the object from the mirror.1/f = 1/v - 1/u

Substituting the given values of r and v, we get:1/(31.5/2) = 1/22.6 - 1/u Solving for u, we get :u = 10.15 cm

Therefore, the distance of the mirror from the face is 10.15 cm. The units are centimeters (cm).Answer: 10.15 cm.

To know more about concave mirror Visit:

https://brainly.com/question/31379461

#SPJ11

1. Differentiate x with respect to t:
dx/dt = d(et)/dt = et

2. Differentiate y with respect to t:
dy/dt = d(te^(-t))/dt = e^(-t) - te^(-t) (using product rule)

Now, d(dy/dx)/dt = d((e^(-t) - te^(-t))/et) / dt
           = (e^(-t) - te^(-t) - e^(-t) + 2te^(-t)) / e^t (using quotient rule)
Now apply the chain rule:
d2y/dx2 = (d( dy/dx)/ dt) / (dx/dt) = (e^(-t) - te^(-t) - e^(-t) + 2te^(-t)) / e^(2t)
Or,  (e^(-t) - te^(-t) - e^(-t) + 2te^(-t)) / e^(2t) > 0

To simplify, we have:
(-t + 2t)e^(-t) > 0
The expression is positive when t > 0. Therefore, the curve is concave upward for t > 0. In interval notation, this is (0, ∞).

To find dy/dx, we first need to use the chain rule:
dy/dx = (dy/dt) / (dx/dt)
dy/dt = e^(-t) - te^(-t)
dx/dt = e^t

So, dy/dx = (e^(-t) - te^(-t)) / e^t

To find d2y/dx2, we need to take the derivative of dy/dx:
d2y/dx2 = [(d/dt)((e^(-t) - te^(-t)) / e^t) / (dx/dt)] / (dx/dt)
= [(e^(-t) - 2e^(-t) + t e^(-t)) / e^(2t)] / e^t
= (1 - 2e^(-t) + t) / e^(3t)

To find where the curve is concave upward, we need to look for where d2y/dx2 > 0.
(1 - 2e^(-t) + t) / e^(3t) > 0

Simplifying this inequality, we get:
t - 2e^(-t) + 1 > 0

We can graph this function or use a table of values to see where it is positive. From the graph or table, we can see that the function is positive for t in the interval (0, 2]. Therefore, the curve is concave upward for t in the interval (0, 2].

Learn more about Curve:

brainly.com/question/28793630

#SPJ11

Answer:

-45

Step-by-step explanation:

Therefore, the maximum number of hikers that could walk between 8 and 18 miles is 3.

Cumulative frequency is a statistical concept that represents the total number of observations or data points that fall below or equal to a certain value in a dataset. It is calculated by adding up the frequencies of all values up to and including the current value. The resulting values can be used to construct cumulative frequency tables and graphs, which are useful in visualizing the distribution and pattern of data.

Here,

Since the data is grouped into intervals, we can use the cumulative frequency to find the minimum and maximum number of hikers.

a) To find the minimum number of hikers that could walk between 8 and 18 miles, we need to find the cumulative frequency of hikers who walked up to 8 miles and subtract it from the cumulative frequency of hikers who walked up to 18 miles.

Cumulative frequency of hikers up to 8 miles = 2

Cumulative frequency of hikers up to 18 miles = 7

Minimum number of hikers that could walk between 8 and 18 miles = Cumulative frequency up to 18 miles - Cumulative frequency up to 8 miles = 7 - 2 = 5

b) To find the maximum number of hikers that could walk between 8 and 18 miles, we need to subtract the cumulative frequency of hikers who walked up to 18 miles from the total number of hikers.

Total number of hikers = 10

Cumulative frequency of hikers up to 18 miles = 7

Maximum number of hikers that could walk between 8 and 18 miles = Total number of hikers - Cumulative frequency up to 18 miles = 10 - 7 = 3

To know more about cumulative frequency,

https://brainly.com/question/30087370

#SPJ1

Answer:

draw a girl and a boy with a son or a daughter and you got a proptional relationship

Step-by-step explanation:

Answer:

1. True

2. False

3. True

4. True

Step-by-step explanation:

Answer:

- 340

Step-by-step explanation:

The sum to n terms of an AP is

\(S_{n}\) = \(\frac{n}{2}\) ( a + l ) → a is the first term and l the last term

Here a = - 76 and \(S_{45}\) = - 9360 , thus

\(\frac{45}{2}\) ( - 76 + l ) = - 9360

22.5(- 76 + l) = - 9360 ( divide both sides by 22.5 )

- 76 + l = - 416 ( add 76 to both sides )

l = - 340 ← the last term in the sequence

Answer:

A linear equation can be written in many ways, so the way we can use to solve a system of linear equations depends on the form the system is written. There are several methods to do this, the more common are: Method of Equalization, Substitution Method, Elimination Method.

The roots of the quadratic equation 0 = 2x² + 12x-14 is (C) x=-7 and x=1.

Any equation in algebra that can be written in the standard form where x stands for an unknown value and a, b, and c stand for known values is said to be a quadratic equation.

In general, it is assumed that a > 0; equations with a = 0 are regarded as degenerate since they become linear or even simpler.

So, the roots of 0 = 2x² + 12x-14 are:

2x² + 12x-14  = 0

2x² + 14x - 2x -14

2x(x + 7) - 2(x + 7)

(2x - 2) (x + 7)

Now, use the zero product property as follows:

2x - 2 = 0

2x = 2

x = 2/2

x = 1

And

x + 7 = 0

x = -7

Therefore, the roots of the quadratic equation 0 = 2x² + 12x-14 is (C) x = -7 and x = 1.

Know more about a quadratic equation here:

https://brainly.com/question/1214333

#SPJ1

Correct question:

What are the roots of the quadratic equation 0 = 2x² + 12x-14?

a. 1,6, -7

b. 2,12,-14

c. -7,1

d. -1,7

Answer:

Step-by-step explanation:in the picture

Answer:x=\(\frac{13}{2}\) or x= 6.5 either way x equals to the number 6.5 .

Step-by-step explanation:The image below will explain how you solve the problem also thanks for the person above me for the idea of answering this question.

HOPE THIS HELPS

:)

Also website as seen in the photo is symbolab

Answer:

Option 2

 x     y

−3     0

−1      3

 0     4

 3     0

4 3

Step-by-step explanation:

For a relation x →  y to be a function, there can be one and only one value of y for a value of x

Looking at the tables we see that option 1 is out since all x values are 2 andthere are multiple values of y

The last option is out because for x = 0 there are two values of y=-2 and y = 2

Correct choice is the second option which has a unique y value for each value of x

Answer:

option 2 im doing it rn

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

Round to nearest 5 - 15

Divide 15 by 5 - 3

Answer:

5% of 13.5 is 0.675

Step-by-step explanation:

We need to determine 5% of 13.5 now and the procedure explaining it as suchStep 1: In the given case Output Value is 13.5.Step 2: Let us consider the unknown value as x.Step 3: Consider the output value of 13.5 = 100%.Step 4: In the Same way, x = 5%.Step 5: On dividing the pair of simple equations we got the equation as under13.5 = 100% (1).x = 5% (2).(13.5%)/(x%) = 100/5Step 6: Reciprocal of both the sides results in the following equationx%/13.5% = 5/100Step 7: Simplifying the above obtained equation further will tell what is 5% of 13.5x = 0.675%Therefore, 5% of 13.5 is 0.675

To determine the value of x that solves each of the following probabilities, we can use the standard normal distribution and the Z-score.

a) P(X > x) = 0.5

To find the value of x, we need to find the Z-score corresponding to the given probability and then convert it back to the original scale using the formula Z = (X - μ) / σ, where μ is the mean and σ is the standard deviation.

Since P(X > x) = 0.5, it implies that the area to the left of x is 0.5. In the standard normal distribution, this corresponds to a Z-score of 0. This means that (x - 7) / 2 = 0. Solving for x, we get:

x = 2 * 0 + 7 = 7

b) P(X > x) = 0.95

Similarly, we need to find the Z-score corresponding to the given probability. In this case, the area to the left of x is 0.95, which corresponds to a Z-score of 1.645 (obtained from the standard normal distribution table).

Using the formula Z = (X - μ) / σ, we can solve for x:

1.645 = (x - 7) / 2

2 * 1.645 = x - 7

3.29 = x - 7

x = 3.29 + 7 = 10.29

c) P(x < X < y) = 0.6

To find the values of x and y that enclose 0.6 of the area under the curve, we need to find the Z-scores corresponding to the area of 0.3 on each tail of the distribution. Using the standard normal distribution table, the Z-score for an area of 0.3 is approximately -0.524 (negative because it represents the left tail).

Using the formula Z = (X - μ) / σ, we can solve for x and y:

-0.524 = (x - 7) / 2 (for x)

0.524 = (y - 7) / 2 (for y)

Solving these equations, we find:

x = -0.524 * 2 + 7 = 5.952

y = 0.524 * 2 + 7 = 7.048

Therefore, x is approximately 5.95 and y is approximately 7.05.

To learn more about probability : brainly.com/question/31828911

#SPJ11

The elements in the set A is {34, 35, 36, 37, 38, 39, 40}.

Here, we have,

given that,

The set A = {n | n is a positive integer and 33 < n < 41}

To list the elements of the given set :

From the given condition in the set A we have the the number n lies between 33 and 41 excluding 33 and 41

Since n lies between the open interval (33,41)

Therefore the set A = {34, 35, 36, 37, 38, 39, 40}

The above set A is arranged from smallest to largest itself.

The elements in the set A is {34, 35, 36, 37, 38, 39, 40}

contains the following elements:

34, 35, 36, 37, 38, 39, 40

Therefore, the elements of set A, listed from smallest to largest, are:

34, 35, 36, 37, 38, 39, 40.

To learn more on set click:

brainly.com/question/17201537

#SPJ4

He has exceeded the 20% equity threshold. He is exempt from paying PMI because his present equity is 38.38%.

Once your property has 20% equity, you can often ask to cease paying PMI after you've purchased it. When your equity reaches 22%, PMI is frequently immediately terminated. Only conventional loans are subject to PMI. Mortgage insurance for other sorts of loans frequently comes in different forms.

calculation

calculating the equivalent monthly payments

282,000 is the principal, and 5% each year, or 0.416667% per month, or 0.00416667, is the rate of interest. There are 360 installments total (30 years X 12)

Total monthly payments equal 1513.84 for the equated monthly mortgage and 299.17 for the PMI, for a total of $1,813.01 for the equated monthly mortgage and PMI.

He must continue paying the PMI until he gets 20% equity. now calculate his equity percentage.

He has exceeded the 20% equity threshold. He is exempt from paying PMI because his present equity is 38.38%.

To know more about PMI visit :-

https://brainly.com/question/29048625

#SPJ4

Answer:

$27

Step-by-step explanation:

You can get the equation 30 - 30 * 1/10 = x, and x is what we are looking for. Simplifying gives 30 - 3, so x is 27. So, the answer is $27.

Answer:

$3

Step-by-step explanation: 10%= 0.10 divide that by 30, 30 ÷ 0.10 = 3

Answer: good luck

Step-by-step explanation:

Answer:

The answer is 11%

Step-by-step explanation:

i know i know no need to thank me

Answer:

y÷8

Step-by-step explanation:

The quotient is the result of division between two numbers.

SOOO its y÷8 because a quotient is a division problem and y and 8 are the variables in the equation!

All five brothers combined have $20.00 using algebraic equation.

To solve this problem, we first need to find out how much money Peter and his brothers have combined. We know that 30% of the total money is Peter's, so we can use that to find the total amount of money. If $6.00 is 30% of the total, then we can set up an equation:

0.30x = 6.00

To solve for x, we can divide both sides by 0.30:

x = 20.00

This means that the total amount of money that Peter and his brothers have combined is $20.00.

To find out how much each brother contributed, we can divide the total by the number of brothers:

20.00 / 5 = 4.00

So each brother contributed $4.00 to the purchase of the video game.

Therefore, all five brothers combined have $20.00. It is important to remember that in order to find out how much each person contributed, we need to divide the total amount by the number of people involved. In this case, since there were five brothers, we divided the total by 5 to get the individual contribution of $4.00 per brother.

To learn more about algebraic equation, refer here:

https://brainly.com/question/953809#

#SPJ11

Answer:

a couple different obes

Step-by-step explanation:

there are five

BF=CE in a triangle ABC, E and F are mid points of equal sides AB and AC of triangle ABC.

A triangle is a three-sided polygon that consists of three edges and three vertices.

Given E and F are mid point of equal sides AB and AC of triangle ABC

In ΔABF and  ΔACE

AB=AC  (given )

∠A=∠A  (common angle )

The side FA is equal to EA

If two sides and the included angle of one triangle are equal to two sides and included angle of another triangle, then the triangles are congruent

∴ΔABF≅ΔACE (SAS rule)

∴BF=CF ( Corresponding parts of Congruent triangles.)

Hence, in a triangle ABC, E and F are mid points of equal sides AB and AC of triangle ABC then BF=CE.

To learn more on Triangles click:

https://brainly.com/question/2773823

#SPJ9

If we subtract 38 (the starting point) from 31 (the ending point), the result is 7. This answer tells us that the pass was 7 yards long – length.

The quarterback was standing at the 38 yard line, and the player he passed the ball to was on the 31 yard line. To find the length of the pass, we subtract the two numbers: 38 - 31 = 7. The pass was 7 yards long.

The quarterback was standing at the 38 yard line when he threw the pass, and the player he passed the ball to was on the 31 yard line. To find the length of the pass, we need to subtract the two numbers. If we subtract 38 (the starting point) from 31 (the ending point), we get 7. This means that the pass was 7 yards long.

The quarterback was standing at the 38 yard line, and he had to throw the ball to a player on the 31 yard line. To find out the length of the pass, we need to subtract the two numbers. If we subtract 38 (the starting point) from 31 (the ending point), the result is 7. This answer tells us that the pass was 7 yards long. This is a good example of how mathematics can be used to solve real-world problems. By breaking down the  mathematical operations problem into smaller pieces and applying, we were able to quickly and accurately find the length of the pass.

Learn more about length here

https://brainly.com/question/13194650

#SPJ4