The temperature is -3 degrees celcius and 6:00 and rises 12 degress celcius by midday what is the temperature at midday

Answer: 720

Step-by-step explanation: The number of ways to choose 3 books out of 10 is given by the binomial coefficient “10 choose 3” which is equal to 10! / (3! * (10-3)!) = 120. Since the order in which the books are arranged on the shelf matters, for each of these 120 combinations there are 3! = 6 ways to arrange the books on the shelf. Therefore, the total number of ways to fill the empty shelf with 3 books from the original shelf is 120 * 6 = 720.

The transformation needed to form g(x) = 3(x + 2)^2-1 is a vertical translation of the function down by 1 unit, horizontal shift to the right by 2 units and a vertical stretch by 3 units

Transformation is the technique used to change the position of a figure on an xy-plane.

Given the parent function f(x) = x², the transformation needed to form g(x) = 3(x + 2)^2-1 is a vertical translation of the function down by 1 unit, horizontal shift to the right by 2 units and a vertical stretch by 3 units

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Answer: D

Step-by-step explanation:

Answer:

Step-by-step explanation:

Feel pleasure to help you.

Answer:

Speed = 25miles per hour

Step-by-step explanation:

Represent the time with x and the distance with y

So, from the attachment; we have the following details:

\((x_1,y_1) = (0.5,12.5)\)

\((x_2,y_2) = (1,25)\)

\((x_3,y_3) = (1.5,37.5)\)

Required

Determine the constant speed

Because the train travelled at a constant speed, the speed can be calculated using:

\(Speed = \frac{y_3}{x_3}=\frac{y_2}{x_2}=\frac{y_1}{x_1}\)

\(Speed = \frac{12.5}{0.5}=\frac{25}{1}=\frac{37.5}{1.5}\)

\(Speed = 25=25=25\)

Notice that the result of each division is the same.

Hence, the constant speed is:

Speed = 25miles per hour

Answer:

\({ \boxed{ \tt{4x + 4x \: → \: 8x}}} \\ \\ { \boxed{ \tt{3x + 5x + 8 \:→ \: 8x + 8 }}} \\ \\ { \boxed{ \tt{ - 7x + 4 + 3x \: → \: - 4x + 4}}} \\ \\ { \boxed{ \tt{4x + 4x + 4x + 4x \: → \: 16x}}}\)

Answer:

4x + 4x → 8x

3x + 5x + 8 → 8x + 8

-7x + 4 + 3x → -4x + 4

4x + 4x + 4x + 4x → 16x

Step-by-step explanation:

The left side consists of a series of expressions and the right side is the list of choices to match to. This is simple math if you already know how to combine like terms. Combining like terms is combining numbers that represent the same value. Take a look at 4x + 4x for example, 4x and 4x are two numbers with the same value. Not that they both have the number 4, but that they have the same special variable. If there are two or more numbers with the same variable like x for example, combine the two, meaning you add the numbers. Just don't add the variables because clearly, the variable is an unknown number so you can't add variables. Instead, you can apply the same variable to the sum of two or more numbers. So 4x + 4x equals 8x. Do the same process again to the other 3 expressions. Also, you can't add a number with a variable to a number alone. They don't represent the same value.

3x and 5x are the same value so combine them. Now you only have 8x + 8 left as the simplified version of the expression.

-7x and 3x are the same value so combine them. Don't forget that the 7 is negative. Use a calculator if needed. Now you only have -4x + 4 as the simplified version of the expression.

Similar to 4x + 4x in the first expression, just add all of the numbers up. There isn't a number alone in this expression. 16x should be your final answer.

I hope this helps! Let me know if I am wrong. :D

Answer: It's either 60 or 232

Note: I'm not that good, in problem solving but i thought i can try.

Message: If this helps, let me know by giving me a thanks! :)

Answer:

z×(-5+3)then you complete the sum and that is your answer

Step-by-step explanation:

hope it helps you

A. The inspector should use the median and range. The outlier of 120 for the Machine A data affects the mean and IQR.

the calculated test statistic z (1.7447) is within the range of -1.96 to 1.96, we fail to reject the null hypothesis H0. This means that there is not enough evidence to conclude that the population mean is significantly different from 50 at the α = 0.05 level.

To compute the value of the test statistic z, we can use the formula:

z = (x - μ) / (σ / √n)

Where:

x is the sample mean (56)

μ is the population mean under the null hypothesis (50)

σ is the population standard deviation (29)

n is the sample size (71)

Substituting the values into the formula:

z = (56 - 50) / (29 / √71)

Calculating the value inside the square root:

√71 ≈ 8.4261

Substituting the square root value:

z = (56 - 50) / (29 / 8.4261)

Calculating the expression inside the parentheses:

(29 / 8.4261) ≈ 3.4447

Substituting the expression value:

z = (56 - 50) / 3.4447 ≈ 1.7447

The value of the test statistic z is approximately 1.7447.

To determine if H0 is rejected at the α = 0.05 level, we compare the test statistic with the critical value. Since this is a two-tailed test (H1: μ ≠ 50), we need to consider the critical values for both tails.

At a significance level of α = 0.05, the critical value for a two-tailed test is approximately ±1.96.

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Answer:

Simplify 74? Did you forget something?

Step-by-step explanation:

It isn't possible to simplify a whole number...

Answer:

The second box is 1.125 pounds

Step-by-step explanation:

This is found by multiplying 1.5 by .75

The probability that the student makes it to the second class before it starts is very close to 0.

To find the probability that the student makes it to the second class before it starts, we can use the concept of linear combinations of random variables and the properties of normal distributions.

Let's define the random variable X as the total time it takes for the student to transition from the end of the first class to the start of the second class. Since X is a linear combination of independent normally distributed random variables (X1, X2, X3), we can use their means and variances to calculate the mean and variance of X.

The mean of X is the sum of the means of X1, X2, and X3:

μX = μ1 + μ2 + μ3 = 9:02 + 9:15 + 10 = 28:17 minutes.

The variance of X is the sum of the variances of X1, X2, and X3:

σX^2 = σ1^2 + σ2^2 + σ3^2 = (2.5)^2 + (3)^2 + (2.5)^2 = 15.25 minutes^2.

Now, we need to calculate the probability that X is less than or equal to 0, meaning the student arrives before the second lecture starts. Since X follows a normal distribution, we can standardize the variable and calculate the probability using the standard normal distribution table.

Z = (0 - μX) / σX = (0 - 28:17) / √15.25 ≈ -9.43.

Using the standard normal distribution table or a calculator, we can find the probability corresponding to Z = -9.43. The probability is essentially 0, as the value is significantly far in the left tail of the standard normal distribution.

Therefore, the probability that the student makes it to the second class before it starts is very close to 0.

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1 ounce is equal to 28.3495 grams.

Grams (g) and ounces (oz) are both units of measurement for weight, but they are not directly interchangeable. To convert a measurement of weight from ounces to grams, you will need to use a conversion factor.

So 1 ounce is equal to 28.3495 grams. The conversion factor between ounces and grams is 1 oz = 28.3495 g.

To convert a measurement of weight from ounces to grams, you will multiply the number of ounces by the conversion factor of 28.3495.

For example, if you have a measurement of 2 ounces, you would multiply 2 x 28.3495 to get 56.699 grams. So, 2 oz = 56.699 g.

It's important to note that when measuring weight, it's important to use the same system of measurement as the requirement, as using the wrong measurements can greatly affect the outcome of the calculation. It's always good to know the conversion factors to make your calculations easier.

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Answer:1.23777

Step-by-step explanation: Calculators answer

To use the Pythagorean theorem:
  ⇒ define Pythagorean theorem

     (look at the diagram attached for a better understanding)

Information Given:

Information Wanted:

Solve:

   \(5^2+9^2=hypotenuse^2\\hypotenuse^2 = 5^2 +9^2 = 25 + 81 = 106\\hypotenuse = 10.29\)

Rounded to nearest tenth:

 Answer: Length of hypotenuse is 10.3

Hope that helps!

The solution to the given initial value problem, dt/dL = kL^2 * ln(t), L(1) = -7 is -7 = -k/3 * (1^3) * ln(-7) + C. By solving this equation for C, we can determine the value of the constant of integration..

Integrating the equation dt/dL = kL^2 * ln(t) with respect to L gives us t = -k/3 * L^3 * ln(t) + C, where C is the constant of integration.

To apply the initial condition, we substitute L = 1 and t = -7 into the equation t = -k/3 * L^3 * ln(t) + C. Solving for C, we can find the particular solution that satisfies the initial condition.

Plugging in L = 1 and t = -7, we have -7 = -k/3 * (1^3) * ln(-7) + C. By solving this equation for C, we can determine the value of the constant of integration.

The process of finding the exact value of C involves algebraic manipulations and calculations. Unfortunately, without knowing the specific value of k, it is not possible to generate a symbolic solution or provide a single-line answer. The solution would depend on the value of k and the outcome of the algebraic manipulations involved in finding C.

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\( \Large{\boxed{\sf x = -15}} \)

\( \\ \)

Given equation:

\( \sf 9 - 3x = 54 \)

\( \\ \)

Subtract 9 from both sides:

\( \sf 9 - 3x - 9 = 54 - 9 \\ \\ \sf -3x = 45 \)

\( \\ \)

Divide each side by -3 :

\( \sf \dfrac{-3x}{-3} = \dfrac{45}{-3} \\ \\ \\ \boxed{\boxed{\sf x = -15}} \)

\( \\ \\ \)

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There were 60 jelly beans in the unopened bag of jelly beans.

Let's work through the problem step by step to find the original number of jelly beans in the bag.

John ate three-fourths of the jelly beans.

This means that he consumed 3/4 of the total number of jelly beans, leaving 1/4 of the original amount.

Mike then ate two-thirds of the remaining jelly beans.

Since 1/4 of the original amount was left after John, Mike ate 2/3 of this remaining 1/4.

To find out how much is left, we need to calculate \((\frac{1}{4} )\times (\frac{2}{3} )\).

\((\frac{1}{4} )\times(\frac{2}{3} )=\frac{2}{12} =\frac{1}{6}\)

Mike ate 1/6 of the original amount, leaving 1/6 of the original amount.

Finally, Fred ate the ten jelly beans that were left.

We know that these ten jelly beans represent 1/6 of the original amount.

Let's calculate how many jelly beans are equal to 1/6.

\(\frac{1}{6} = 10\) jelly beans

Now, we can determine how many jelly beans are equal to 6/6 (the whole).

\(\frac{1}{6} \times6=10\times6=60\) jelly beans

Therefore, there were 60 jelly beans in the unopened bag of jelly beans.

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The recursive formula for a geometric sequence is: an = an-1 × r, where a1 is the first term. Thus, the recursive formula for this sequence is: an = an-1 × 2.

a) Given a geometric sequence with a1 = 2 and r = 6, the second term is a2 = a1 × r = 2 × 6 = 12The third term is a3 = a2 × r = 12 × 6 = 72The fourth term is a4 = a3 × r = 72 × 6 = 432The recursive formula for a geometric sequence is: an = an-1 × r, where a1 is the first term. Thus, the recursive formula for this sequence is: an = an-1 × 6b) Given a geometric sequence with a1 = 1 and r = 2, the first five terms are:a1 = 1a2 = a1 × r = 1 × 2 = 2a3 = a2 × r = 2 × 2 = 4a4 = a3 × r = 4 × 2 = 8a5 = a4 × r = 8 × 2 = 16To find the explicit formula for a geometric sequence, we can use the formula an = a1 × rn-1. Thus, the explicit formula for this sequence is: an = 1 × 2n-1c) Given a geometric sequence with the first term a1 = 2 and the second term a2 = 4, the common ratio is r = a2/a1 = 4/2 = 2The recursive formula for a geometric sequence is: an = an-1 × r, where a1 is the first term. Thus, the recursive formula for this sequence is: an = an-1 × 2.

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As per the details given, there are 37 dots in the 5th step.

To locate the pattern and decide the range of dots in the 5th step, allow's examine the given records:

Step 1: 6 dots

Step 2: 14 dots

Step 3: 21 dots

Looking on the variations between consecutive steps, we will see that the quantity of additional dots in each step is growing via eight.

In other phrases, the distinction among Step 1 and Step 2 is eight, and the difference between Step 2 and Step 3 is likewise eight.

Thus, we can preserve this sample to decide the quantity of dots within the 4th and 5th steps:

Step 4: 21 + 8 = 29 dots

Step 5: 29 + 8 = 37 dots

Therefore, there are 37 dots in the 5th step.

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1.) The line with the greatest slope.

The greater the slope of the line, the more upright it is. Observing the given graph, the line with the greatest slope is line a.

2.) Lines that are parallel.

Two lines are parallel if they do not have an intersection with each other at any point in the graph. We can see that line b and line d, do not intersect at any point in the graph and are thus parallel lines.

3.) Line with a negative slope

A line with a negative slope is a line that goes downwards from left to right, in the graph we can see that line e and line f goes downwards from left to right.

4.) Line that is perpendicular to the y-axis.

A line that is perpendicular to the y-axis, is a line that is parallel to the x-axis. Looking at the graph, line c is perpendicular to the y-axis.

\(\begin{array}{lcccl} &\stackrel{lbs}{Qty}&\stackrel{\$}{price}&\stackrel{total}{value}\\ \cline{2-4}&\\ \textit{1st candy}&x&0.9&0.9x\\ \textit{2nd candy}&y&0.4&0.4y\\ \cline{1-4} mix&50&0.85&42.5 \end{array}\qquad \qquad \begin{cases} x+y=50\\\\ 0.9x+0.4y=42.5 \end{cases} \\\\[-0.35em] ~\dotfill\)\(\stackrel{\textit{using the 1st equation}}{x+y=50\implies y=50-x}\qquad \qquad \stackrel{\textit{substituting on the 2nd equation}}{0.9x~~ + ~~0.4(50-x)~~ = ~~42.5} \\\\\\ 0.9x+20-0.4x=42.5\implies 0.5x+20=42.5\implies 0.5x=22.5 \\\\\\ x=\cfrac{22.5}{0.5}\implies \boxed{x=45}\qquad \qquad \qquad \boxed{\stackrel{50~~ - ~~45}{y=5}}\)

Answer: 15

Step-by-step explanation:

This is a right angle and right angles always add up to 90 degrees.

You would take away 30 from 90 which equals 60.

Then because it is 4x you would do the inverse and divide 60 by 4 to get x on its own.

60/4=15

Bryant Industries uses forecasting to estimate the number of orders that will be placed by their customers. The table below gives the sales figures for the last four months.Month2345Sales92491942004There are different forecasting techniques used by companies like Bryant Industries to predict future sales.

One of the most widely used methods is the time-series method. This method is particularly useful when the demand for a product or service changes over time and when there are no external factors that affect the sales. In this case, we can use a time-series method called the moving average to estimate future sales. The moving average is a time-series method that uses the average of past sales data to estimate future sales. It is particularly useful when there are no external factors that affect the sales. In this case, we can use a 3-month moving average to estimate future sales. The 3-month moving average is calculated as follows: (924 + 919 + 420) / 3 = 754.33. This means that we can expect sales of around 754 units next month. The moving average method is easy to use and is a good way to get a quick estimate of future sales. However, it has some limitations. For example, it does not take into account external factors that may affect sales, such as changes in the economy or in consumer behavior.

In conclusion, Bryant Industries can use the moving average method to estimate future sales. However, they should also consider other factors that may affect sales, such as changes in the economy or in consumer behavior. By doing so, they can make more accurate forecasts and improve their overall performance.

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Answer:

\({ \rm{ \frac{ {4}^{a + 2} + {4}^{a} }{17 \times {4}^{a} } }} \\ \\ = { \rm{ \frac{( {4}^{a} \times {4}^{2} ) + {4}^{a} }{17 \times {4}^{a} } }} \\ \\ = { \rm{ \frac{ {4}^{a} }{ {4}^{a} } ( \frac{ {4}^{2} + 1}{17}) }} \\ \\ = { \rm{ \frac{ {4}^{2} + 1 }{17} }} \\ \\ = { \rm{ \frac{16 + 1}{17} }} \\ \\ { \rm{ = \frac{17}{17} }} \\ \\ = 1\)

hence proved

the final solution is:  y(x) = 9\(x^{6}\)

we need to separate the variables and integrate both sides with respect to x and y.
x dy/dx y = 6x + 1
dy/y = (6x + 1)/x dx
Integrating both sides, we get:
ln|y| = 6ln|x| + ln|x| + C
Using logarithmic properties, we can simplify this as:
ln|y| = \(lnx^{7}\) + C
Taking the exponential of both sides:
|y| = e^( \(lnx^{7}\) + C)
|y| = \(e^{C}\)  × \(x^{7}\)
Since the initial condition given is y(1) = 9, we can substitute this into our equation and solve for C:
9 = \(e^{C}\) × |1|
C = ln(9)
This, the solution to the initial-value problem is:
|y| = 9 \(x^{7}\) × x

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Answer:

The car's value is depreciating by $2,990 per year.

Step-by-step explanation:

To solve this problem, we just need to subtract the cars value this year, or $25,510, from the car value of last year, or $28,500.

28,500 - 25,510 = $2,990

Since the car value was $2,990 more just last year, the car's value is depreciating by $2,990 per year.

Hope this helps! :D

Answer:

Part 1:

Q’ = (2, -3)

Part 2:

R’ = (-3, -4)

Hope this helps!

Answer:

8.4 lbs

Step-by-step explanation:

the cat is 7lbs and the neighbors is 1/5 more. to find 1/5 of 7 you would do 7/5 which equals 1.4

you then add 7+1.4=8.4 lbs

i'm pretty sure that's it!!