To change Celsius temperatures to Fahrenheit temperatures, you can use the formula F = 95C + 32. Which answer is the best first step to solve the equation for C?

Answer:

x = 112°

Step-by-step explanation:

Isosceles triangles always have 2 congruent base angles.

Working our way from right to left, we know the base angles are 17° each. Using the sum of interior angles of a triangle, we can find our 3rd angle.

180 - 17 - 17 = 146°

Now we can find the first base angle of the next triangle over because the 146 is part of a supplementary angle, meaning it will add up to 180.

180 - 146 = 34°

Since this is one of the base angles, label the other base and use the sum of interior angles of a triangle again.

180 - 34 - 34 = 112°

Another supplementary angle though this time it's formed from 3 angles.

180 - 112 - 17 = 51°

Label the other base and use the sum of interior angles of a triangle.

180 - 51 - 51 = 78°

3 angle supplementary angle.

180 - 78 - 34 = 68°

Label the other base. Since this is our last supplementary angle formed with only 2 angles, we can subtract 68 from 180 to get the value of x.

180 - 68 = 112°

Hope this helps~!

Answer:

I think the answer is 8 you should search it up to make sure

1) Since this investment has been in an account with 12% compound interest per year, then we can write out the following:

a) Note that there was no withdrawal during this first year.

b) To find out the amount of money over a course of this time 2 years, then we can write out the following:

In this case, it is also compounded per year. Just the period (t) is greater than the other one.

So, we can tell the following about the earnings of this investment:

To calculate the area of a parallelogram

 ⇒ we must know the formula

     ⇒ Area = base * height

What are we given:

Thus:

   Area = 3ft * 4ft = 12 \(ft^2\)

Hope that helps!

P = 2200 + 60N

Step-by-step explanation:

I gotcha covered!

Answer:

a = 4, p = 2, q = - 1

Step-by-step explanation:

Expand the right side of the identity, then compare the coefficients of like terms with those on the left side.

a(x - p)² + q ← expand (x - p)² using FOIL

= a(x² - 2px + p²) + q  ← distribute parenthesis

= ax² - 2apx + ap² + q

Compare coefficients of x² term

a = 4

Compare coefficients of x- term

- 2ap = - 16, that is

- 2(4)p = - 16

- 8p = - 16 ( divide both sides by - 8 )

p = 2

Compare constant terms

ap² + q = 15 , that is

4(2)² + q = 15

16 + q = 15 ( subtract 16 from both sides )

q = - 1

Thus a = 4, p = 2, q = - 1

Answer:

A

Step-by-step explanation:

We want to solve the equation:

\(2\sin^2(x)=\sin(x)\)

For the interval [0, 2π).

First, we can move all the terms to one side. Start off by subtracting sin(x) from both sides:

\(2\sin^2(x)-\sin(x)=0\)

We can factor:

\(\sin(x)\left(2\sin(x)-1\right)=0\)

By the Zero Product Property:

\(\sin(x)=0\text{ or } 2\sin(x)-1=0\)

Solve for each case:

\(\displaystyle \sin(x)=0\text{ or } \sin(x)=\frac{1}{2}\)

Use the unit circle to solve:

\(\displaystyle x=\left\{0, \frac{\pi}{6},\frac{5\pi}{6}, \pi\right\}\)

Hence, our answer is A.

*Please note that we should not simply divide both sides by sin(x) to acquire 2sin(x) = 1. The problem with the operation is that we are dividing by sin(x), yet we do not know what the value of x is. Thus, one or more values of x may result in sin(x) = 0, and we cannot divide by 0. Hence, we are required to subtract and then factor, unless the question specifically states that sin(x) ≠ 0.

Answer:

Hey mate.....

Step-by-step explanation:

This is ur answer.....

Step 1 :-

Step 2 :-

Hope it helps!

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The margin of error for the population mean is 5.601

What does the term "margin of error" mean?

Your results will deviate by how many percentage points from the actual population value, according to your margin of error. It is described as a very small percentage that is allowed for error in calculations.

Given c = 0.95

The significance level is obtained as follows:

alpha = 1 - c

alpha = 1 - 0.95

alpha = 0.05

Also, it is given that n = 150 and sigma = 35 .

The critical value of Z distribution at 0.05 level of significance can be computed in MS Excel using + NORMS INV (alpha/2) function as follows:

Thus, \(Z_{0.005/2}=1.96\)

Now, the margin of error can be computed as follows: ME = Critical Value x Standard Error

\(Z_{0.005/2}*\frac{sigma}{\sqrt{n} } \\= 1.96 * \frac{35}{\sqrt{150} } \\= 5.601\)

Thus, the margin of error for the population mean is 5.601

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Answer:

Slope= y=1/2x+6

Step-by-step explanation:

Hope it helps.

(a) If you bet on a single number for 25 rounds, the expected value of your net gain is -$1.32.

(b) The standard deviation of your net gain is 28.0126.

(c) The estimate the chance you come out ahead is  48.17%.

(a) The probability of winning a single bet is 1/38 and the expected net gain for each bet is -1 + (35/1)1/38 = -0.0526. Therefore, the expected value of your net gain after 25 rounds is 25(-0.0526) = -$1.32.

(b) The variance of the net gain for each bet is [(-1 - (-0.0526))^2*(37/38) + (35 - (-0.0526))^2*(1/38)] = 31.3728. So, the variance of the net gain for 25 rounds is 25*31.3728 = 784.32, and the standard deviation is the square root of the variance, which is 28.0126.

(c) The chance of coming out ahead can be estimated using the normal distribution with mean -1.32 and standard deviation 28.0126. We want to find the probability that the net gain is greater than zero, which is equivalent to finding the probability that a standard normal random variable Z is greater than (0 - (-1.32))/28.0126 = 0.0471.

Using a standard normal table or calculator, we find that this probability is approximately 0.4817 or 48.17%. So, there is about a 48.17% chance of coming out ahead after 25 rounds of betting on a single number.

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Answer:

I am pretty sure the answer is a...

Step-by-step explanation:

x=-20

steps:

\(20x-15x=-100\)

\(5x=-100\)

\(x=-100/5\)

\(x=-20\)

Answer:

-20

Step-by-step explanation:

20x-15x=5x

so 5x=-100

then

x=-100/5

x=-20

pls mark as brainliest

The required number is 936.

We have,

Since the number has 3 different digits and the hundreds and ones place digits are both divisible by 3, this means that the number must be in the form of ABC, where A and C are divisible by 3 and A ≠ C.

We also know that the hundreds place digit is the third multiple of 3, so it must be 9.

This leaves us with two options for the ones and tens place digits: 3 and 6.

However, since the digits must be different, the one's place digit must be 3, and the tens place digit must be 6.

Therefore,

The number is 936.

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The absolute value of a number is its distance from 0.

In this case, the absolute value of 0.6 is just 0.6.

Answer: 0.6

Hope this helps!

Answer: 0.6

Step-by-step explanation: Absolute value. 0.6 is 0.6 away from 0

Answer:

\(\frac{5}{8}\) or 5/8 if you can't see it

Step-by-step explanation:

First turn the fractions into mixed number by multiplying the denominator and whole number and adding the numerator to get your new numerator!

(4x2)+1 =9             9/4

(5x3) + 3 = 18        18/5

so your new problem is:

\(\frac{9}{4}\)  divided by \(\frac{18}{5}\)  

but when you divide fractions you need to flip the second one and multiply instead

\(\frac{9}{4}\) x \(\frac{5}{18}\)        9 x 5  is 45           18 x 4 is 72    = \(\frac{45}{72}\)  

then you have to reduce it and 9 can go into both numbers evenly to get  \(\frac{5}{8}\)

Answer:

3.19 millimeter round of nearest hundred

To the total of 99 cookies, there are 27 cookies in middle pile.

Let's call the number of cookies in the first pile "x". Then, the number of cookies in the second pile is 1/2 of x, or (1/2)x, and the number of cookies in the third pile is 1/3 of x, or (1/3)x.

We know that the total number of cookies is 99, so we can write an equation:

x + (1/2)x + (1/3)x = 99

To solve for x, we can first find a common denominator:

(6/6)x + (3/6)x + (2/6)x = 99

(11/6)x = 99

x = (6/11) * 99

x = 54

So, there are 54 cookies in the first pile, (1/2)x = (1/2)*54 = 27 cookies in the second pile, and (1/3)x = (1/3)*54 = 18 cookies in the third pile. In the middle pile there are 27 cookies.

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In the given point (1/2,1), 1/2 is on the x axis and 1 represent the y axis. The point (1/2,1) on the coordinate plane is given below;

In the given question we have to represent the given point in the coordinate plane.

The given coordinate is (1/2,1).

Firstly we learn about the coordinate.

The coordinate are the points that shows the position of point on the x axis and y axis.

The first point shows the x axis and second point shows the y axis.

So in the given point 1/2 is on the x axis and 1 represent the y axis.

We can write 1/2 as 0.5.

The point (1/2,1) on the coordinate plane is given below;

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The greatest amount of dollar shared is $78

A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0. A proportion is an equation in which two ratios are set equal to each other. For example, if there is 1 boy and 3 girls you could write the ratio as: 1 : 3 (for every one boy there are 3 girls) 1 / 4 are boys and 3 / 4 are girls

The ratio of the three sibling is 1/2 : 1/3 : 1/4. Firstly, we multiply all the terms with the l.c.m which is 12

therefore the ratio = 6: 4: 3

The total money to be share is 169

The total ratio is 13

The share of the first sibling = 6/13 × 169

= $ 78

The share of the second sibling = 4/13 × 169 = $52

The share of the third sibling = 3/13 × 169 = $ 39

Therefore the highest number of dollars shared is $78

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Answer:

Step-by-step explanation:

The area of a trapezoid is the height times the average of its parallel bases.

A=h(b1+b2)/2, in this case

A=14(4.6+8.7)/2

A=7(4.6+8.7)

A=7(13.3)

A=93.1 km^2

Answer: 1,004.8 cubic meters (choice D)

Work Shown:

V = (1/3)*pi*r^2*h

V = (1/3)*3.14*8^2*15

V = 1,004.8

The probability that a randomly selected American plans to stay home or travel by car over the next holiday weekend given the information that 9.35% of Americans plan to travel by car and 88.6% plan to stay home. The probability of staying home or traveling by car over the next holiday weekend is given by the addition of probabilities of these events.

P(stay home or travel by car) = P(stay home) + P(travel by car)P(stay home or travel by car) = 0.886 + 0.0935P(stay home or travel by car) = 0.9795Therefore, the probability that a randomly selected American plans to stay home or travel by car over the next holiday weekend is 0.9795.

The value of probability does not equal 1 because some Americans traveled by other means.

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Answer:

$1800 and $2500

Step-by-step explanation:

Let he invested a total of  $P and$( P+700) in each investment so according to question

9.2*P*1+10.4*(P+700)*1= 42560

19.6P+ 7280= 42560

19.6P = 42560-7280= 35280

P=$ 1800

So, he invested $1800 and $2500 respectively.

The correct statements regarding the congruent triangles are given as follows:

Congruent triangles are triangles in which the outer side lengths have the same measure.

Then the triangles ABC and triangle MNO are congruent by a sequence of rotations and translations, as both are right triangles.

Triangle JKL and triangle ABC are congruent by a single rotation, as the distances between the vertices of each triangle are equal.

The problem is given by the image shown at the end of the answer.

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Numbers of ways to distribute 10 identical cards into 3 boxes is 36

Combination is is a way of selecting items from a collection where the order of selection does not matter.

Formula of combination:

Let a x-combination of a set is a subset of x distinct elements of S. If the set has n elements, the number of x-combinations is equal to the binomial coefficient.

ⁿCₓ = n(n-1)(n-2)(n-3). . . (n-x+1) / (x-1)(x-2)(x-3) . . . .(1)

which can be written as ⁿCₓ = n! / (n-x)! x!   , when n > x

ⁿCₓ = 0 , when n < x

Where n = distinct object to choose from

C = Combination

x = spaces to fill

According to the question,

Number of identical cards : n =10

Number of box cards are being distributed : x = 3

Number of ways to distribute when no condition is given : ⁿ⁺ˣ⁻¹Cₓ₋₁

If we place one one card in each box then

Number of cards left with us = 10 - 3

= 7

Now, condition of at least one cards in each box is satisfied ,

Then total number of ways to distribute 7 cards into 3 =  ⁷⁺³⁻¹C₃₋₁

=> ⁹C₂ = 9! / (9 - 2)! 2!

=>  9×8×7! / 7!2!

=> 9×8/2

=> 9×4

=>36 ways

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It appears that the system dynamics can be manipulated through the control input u to minimize the time required for convergence to the origin (0,0).

Here, we have,

given that,

min t_i

x₁ = x₂-u

x₂ = u

-1 ≤ u ≤ 1, (x₁, x₂) are arbitrary starting point.

and origin  (0,0) be the begging of the coordinate.

also given that, (x₁, x₂)→ (0,0)

so, min t_i at origin (0,0) = t

Therefore, the generality condition of the situation does not met.

so, we get,

The given system can be represented by the following equations:

x₁' = x₂ - u

x₂' = u

To analyze the behavior of the system, we can examine the dynamics of each variable separately.

For x₁:

x₁' = x₂ - u

The equation implies that the rate of change of x₁ is dependent on x₂ and the input u. The term (-u) acts as a control input that can affect the dynamics of x₁. If we choose an appropriate control input u, we can manipulate the rate of change of x₁ and potentially minimize the time required to reach the origin.

For x₂:

x₂' = u

The equation for x₂ indicates that the rate of change of x₂ is solely determined by the input u. The variable x₂ can be directly controlled by the input u, allowing us to influence its behavior and potentially expedite convergence.

Based on the given equations, it appears that the system dynamics can be manipulated through the control input u to minimize the time required for convergence to the origin (0,0).

By carefully selecting the control input, it is possible to achieve the shortest time to reach the origin from any arbitrary starting point (x₁, x₂).

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An MIS differs from a TPS in that it creates databases is True.

An MIS (Management Information System) does indeed differ from a TPS (Transaction Processing System) in that it creates databases. The main purpose of an MIS is to collect, process, store, and disseminate information to support managerial decision-making within an organization. It involves the use of technology and various information systems to manage and analyze data for strategic planning, monitoring, and control.

One of the key components of an MIS is the creation and management of databases. Databases are structured collections of data that are organized, stored, and accessed in a systematic way. They serve as a central repository for storing relevant information that can be utilized by the MIS. These databases can contain data from various sources within the organization, such as sales records, customer information, inventory data, financial data, and more.

On the other hand, a TPS focuses primarily on the processing of transactions. It is designed to capture, process, and record day-to-day operational transactions, such as sales transactions, inventory updates, customer orders, and so on. While a TPS may store and retrieve data related to these transactions, its main focus is on efficiently processing and ensuring the accuracy and integrity of transactional data.

In summary, an MIS goes beyond the functionalities of a TPS by not only processing transactions but also creating and managing databases to support the informational needs of managers.

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