At midnight, the temperature was -15 degrees. By 6:00 am, it had dropped 5
degrees and by noon, the temperature was 1/4 what it was at 6 am. What was the
temperature at noon?

Answer:

11

Step-by-step explanation:

Answer:

Step-by-step explanation:

slope (m) = 1/3

y - intercept (c) = 6

writing in point slope form

y = mx + c

y = 1/3 x + 6

Answer:

$305.9022863 or $305.90 (rounded to 2 decimal places)

Step-by-step explanation:

It is a compound interest, meaning an interest accumulates on an initial amount every period. The formula  

A= P(1+R)^n

A= the total amount P=Initial amount       R= rate  n=time period

P=$100 R=15% or 0.15(decimal)  n=8 (years)  

A= 100 (1.15)^8

A= 100(3.059022863)

A=305.9022863

The amount you will have after 8 years is $220

The formula for calculating simple interest is expressed as:

SI =PRT

P is the principal = $100

T is the time = 8 years

R is the rate. = 15%

SI = 100 * 8 * 0.15
SI = $120

Amount after 8years = $100 + $120
Amount after 8years = $220

Hence the amount you will have after 8 years is $220

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Answer:

The ratio is 1:4 or 1 computer for every 4 sixth graders.

Step-by-step explanation:

20 for 80 = 20:80

20:80 divided by 10:10 = 2:8

2:8 divided by 2:2 = 1:4

To determine whether the set S is linearly independent or linearly dependent.The set is linearly independent. This is because the only way to make a linear combination of vectors equal to the zero vector is to have all the coefficients equal to zero.

A linear combination of vectors is the sum of a scalar multiple of each vector in the set. We must check if the equation a(-2,2,4) + b(1,9,-2) + c(2,3,-3) = (0,0,0) has only the trivial solution, i.e., a=b=c=0. This gives us the system of equations,-2a + b + 2c = 01a + 9b + 3c = 02a - 2b - 3c = 0We can solve the system of equations by using Gauss-Jordan elimination. The augmented matrix for the system is:[-2 1 2 0][1 9 3 0][2 -2 -3 0]Let's use elementary row operations to simplify the matrix.

We can swap the first and second rows since the first element in the second row is 1.[1 9 3 0][-2 1 2 0][2 -2 -3 0]We can then add twice the first row to the third row to eliminate the leading coefficient in the third row.[1 9 3 0][-2 1 2 0][0 16 3 0]We can then add nine times the first row to the second row to eliminate the leading coefficient in the second row.[1 9 3 0][0 17 15 0][0 16 3 0]We can then add -16/17 times the second row to the third row to eliminate the leading coefficient in the third row.[1 9 3 0][0 17 15 0][0 0 -117/17 0]We see that the only solution is a=0, b=0, and c=0. Therefore, the set S is linearly independent.

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After selling x pints of Boldly Buttered Popcorn icecream and y pints of Lovely Lavender Lemon on the charged of $10 for each, his profit equation is written as P = 6x + 6y = 6( x + y).

We have, Mr. McCoy's new ice cream shop. He sold two flavors of icecream. He sold his Boldly Buttered Popcorn ice cream and his Lovely Lavender Lemon ice cream. The quantity of sold Boldly Buttered Popcorn ice cream = x pints

The quantity of sold Lavender Lemon ice cream = y pints

Cost of each pint of ice cream = $4

Selling price of each pint of ice cream

= $10

First, total pints of icecream he sold

= pints of Boldly Buttered Popcorn ice cream+ pints of Lavender Lemon ice cream = ( x + y) pints

Now, Cost of (x + y) pints of ice cream

= $4 ( x + y)

Similarly, selling price of ( x + y ) pints of icecream = $ 10 ( x + y)

As we know, when selling price is greater than cost price then profit will occur. Equation for profit P = selling price - cost price = $ 10 ( x + y) - $4 ( x + y)

= 10 x + 10y - 4x - 4y

P = 6(x + y)

Hence, required equation is 6x + 6y.

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Complete question:

Mr. McCoy's new ice cream shop is doing great! Last month, he sold out of his Boldly Buttered Popcorn ice cream and his Lovely Lavender Lemon ice cream. He sold x pints of Boldly Buttered Popcorn and y pints of Lovely Lavender Lemon. Each pint cost him $4 to make, and he charged $10 for each. Write an equation for his profit or loss on ice cream selling.

Answer:

4 meters

Step-by-step explanation:

Given a quadratic equation in which the coefficient of \(x^2\) is negative, the parabola opens up and has a maximum point. This maximum point occurs at the line of symmetry.

Since the divers height, y is modeled by the equation

\(y= -x^2 + 2x + 3\)

Step 1: Determine the equation of symmetry

In the equation above, a=-1, b=2, c=3

Equation of symmetry, \(x=-\dfrac{b}{2a}\)

\(x=-\dfrac{2}{2*-1}\\x=1\)

Step 2: Find the value of y at the point of symmetry

That is, we substitute x obtained above into the y and solve.

\(y(1)= -1^2 + 2(1) + 3=-1+2+3=4m\)

The maximum height of the diver is therefore 4 meters.

Answer:

Is this question wrong?

Step-by-step explanation:

4x+3y=16

4(-3)+3(-2)=16

-12-6=16

-18=16

We can use Coulomb's law to calculate the magnitude of the electric field at a distance r away from a point charge Q:

E = k * Q / r^2

where k is Coulomb's constant, Q is the charge of the point charge, and r is the distance from the point charge.

In this problem, we have a point charge Q of -10 nC located at (1.2 cm, 0 cm), and we want to find the x-component of the electric field at a distance r = 5.3 cm away at position (-4.1 cm, 0 cm).

To find the x-component of the electric field, we need to use the cosine of the angle between the electric field vector and the x-axis, which is cos(180°) = -1.

So, the x-component of the electric field at position (-4.1 cm, 0 cm) is:

E_x = - E * cos(180°) = - (k * Q / r^2) * (-1)

where k = 9 x 10^9 N*m^2/C^2 is Coulomb's constant.

Substituting the given values, we get:

E_x = - (9 x 10^9 N*m^2/C^2) * (-10 x 10^-9 C) / (0.053 m)^2

E_x ≈ -30,566.04 N/C

Rounding this to two significant figures and including the appropriate units, we get:

The x-component of the electric field is about -3.1 x 10^4 N/C (to the left).

Answer:

-1

Step-by-step explanation:

\( - 3f {}^{ - 8} + 7g(2) \\ \\ = 14g - 3f {}^{ - 8} \)

Based on the information given, the standard deviation of the weekly demand for TVs in the showroom is approximately 5 units.

To find the standard deviation, we can use the concept of the z-score and the cumulative distribution function (CDF) of the standard normal distribution. We know that 90% of the time the demand is less than 110 units, which means the corresponding z-score is the value that gives us a cumulative probability of 0.9. By looking up this probability in a standard normal distribution table, we find that the z-score is approximately 1.28.

The z-score is calculated using the formula: z = (x - μ) / σ, where x is the value, μ is the mean, and σ is the standard deviation. Rearranging the formula to solve for σ, we have σ = (x - μ) / z. Plugging in the values, we get σ = (110 - 100) / 1.28 = 7.81.

Therefore, the standard deviation of the distribution is approximately 7.81 units. However, since the number of TVs sold is a discrete quantity, it is not possible to have a fraction of a TV, so we round it to the nearest whole number, resulting in a standard deviation of 5 units.

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The correct answer is D. f(x) = 11x - 4 and g(x) = (x + 4)/11

To determine which pair of functions are inverses of each other, we need to check if the composition of the functions results in the identity function, which is f(g(x)) = x and g(f(x)) = x.

Let's test each option:

Option A:

f(x) = x/2 + 15

g(x) = 12x - 15

f(g(x)) = (12x - 15)/2 + 15 = 6x - 7.5 + 15 = 6x + 7.5 ≠ x

g(f(x)) = 12(x/2 + 15) - 15 = 6x + 180 - 15 = 6x + 165 ≠ x

Option B:

f(x) = ∛3x

g(x) = (x/3)^3 = x^3/27

f(g(x)) = ∛3(x^3/27) = ∛(x^3/9) = x/∛9 ≠ x

g(f(x)) = (∛3x/3)^3 = (x/3)^3 = x^3/27 = x/27 ≠ x

Option C:

f(x) = 3/x - 10

g(x) = (x + 10)/3

f(g(x)) = 3/((x + 10)/3) - 10 = 9/(x + 10) - 10 = 9/(x + 10) - 10(x + 10)/(x + 10) = (9 - 10(x + 10))/(x + 10) ≠ x

g(f(x)) = (3/x - 10 + 10)/3 = 3/x ≠ x

Option D:

f(x) = 11x - 4

g(x) = (x + 4)/11

f(g(x)) = 11((x + 4)/11) - 4 = x + 4 - 4 = x ≠ x

g(f(x)) = ((11x - 4) + 4)/11 = 11x/11 = x

Based on the calculations, only Option D, where f(x) = 11x - 4 and g(x) = (x + 4)/11, satisfies the condition for being inverses of each other. Therefore, the correct answer is:

D. f(x) = 11x - 4 and g(x) = (x + 4)/11

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The slope of constant of proportionality is the 443/50

Given,

In the question:

The equation is :

y = 8.86x

To find the Constant of Proportionality.

Now, According to the question:

Equation of a Line:

mx + b

y = output

m = slope (constant of proportionality)

x = input

b = y-intercept

Given our equation: y = 8.86x

slope = 8.86

= 886/100

= 443/50

y-intercept = 0

Since ,the slope of constant of proportionality is the 443/50.

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Answer:

\(x = - 8\)

Step-by-step explanation:

First,Step write the given equation.

\( \frac{x}{2} + 7 = 3\)

In Algebra, we learn how to solve for a missing term called a variable. We must use inverse operations to undo terms to isolate our variable. Inverse operations means that we do the opposite of the given.

For example, say we have a equation

\(x + 2 = 3\)

We would subtract 2 from both sides. E.g( remember the golden rule of algebra). What we do to one side, we do the other. This applies when we solving for a variable.

This means that

\(x = 1\)

And if we substitute 1 in for x, it is indeed true.

\(1 + 2 = 3 = 3\)

Now, back to the question.

\( \frac{x}{2} + 7 = 3\)

First, we subtract 7 from both sides to get rid of the 7 on the left side. Also remeber to undo terms that aren't included in the variable when solving these problems.

So now we got

\( \frac{x}{2} = - 4\)

Then we multiply 2 by both sides since that the opposite of division.

\( \frac{x}{2} \times 2 = x = -4 \times 2 = - 8\)

So this means that

\(x = - 8\)

If we plug this in, this is true.

\( \frac{ - 8}{2} + 7 = 3\)

Answer:

Y is the awnser

Step-by-step explanation:

Answer: \(h > -38\)

Step-by-step explanation:

11h > -2(-5h +19)

Expand = \(-2\left(-5h\right)+\left(-2\right)\cdot \:19\) = \(2\cdot \:5h-2\cdot \:19\)

Simplify 2 times 5h-2 times 19: 10h-38

\(11h-10h > 10h-38-10h\)

Simplify=\(h > -38\)

I've arranged the tiles into the correct positions, and wrote in the final result for each x and y.

The basic idea is to divide determinants as the vertical bars indicate (they aren't absolute value bars).

In each denominator is the determinant of the matrix \(\begin{bmatrix}2 & 1\\-3 & 4\end{bmatrix}\) which are the coefficients of the left hand side of each original equation given to you.

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

The numerators are a slight variation of this matrix. The x determinant will have you replace the first column with 0 & 22 getting \(\begin{bmatrix}0 & 1\\22 & 4\end{bmatrix}\) which helps figure out the x solution. The y solution is similar as well, but we replace the y column instead of the x column. So that explains the \(\begin{bmatrix}2 & 0\\-3 & 22\end{bmatrix}\)

After you have the proper determinants set up, you just evaluate each determinant using the formula

\(\begin{vmatrix}a & b\\ c & d\end{vmatrix} = a*d - b*c\)

and then simplify the results.

To determine the measure of angle B’A’C’, we first need to understand the properties of equilateral triangles and their rotation. An equilateral triangle has three equal sides and angles measuring 60 degrees each. When rotated clockwise by 90 degrees, the new triangle A’B’C’ will have its vertices shifted to the right, with vertex A’ above vertex C’ and B’ in between them.

Since the triangle is equilateral, we know that the angle A’C’B’ is also 60 degrees. To determine angle B’A’C’, we need to subtract the angle A’C’B’ from 180 degrees (the total measure of the triangle). Therefore, angle B’A’C’ is equal to 120 degrees.

In summary, when an equilateral triangle is rotated clockwise by 90 degrees to form a new triangle A’B’C’, the measure of angle B’A’C’ is 120 degrees.

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Answer: The answer is 131 ft.

Step-by-step explanation:

The gazebo staying in the centre of the circular lawn forms an sector with the two paths that are 75 degrees to each other. The formula for length of an arc of a sector which is the distance between the two paths is \frac{angle}{360} * 2\pi * radius\\radius = \frac{diameter}{2} = \frac{200}{2} = 100 ft\\ angle = 75 degrees.\\

Inserting these we have \frac{75}{360} * 2\pi * 100 = 130.8996 = 131 ft.

~Adrianna

The budgets of Hong Kong, the United States of America, and Korea differ in contents, formats, advantages, and disadvantages. While each budget has its strengths and weaknesses, they all aim to provide a clear and transparent financial plan for their respective countries.

A budget is a financial plan that estimates expected income and expenditure for a specific period. It may include income, expenses, debts, and savings. Budgets may vary from country to country and can be analyzed by comparing their contents, formats, advantages, and disadvantages. Here are the budgets of Hong Kong, the United States of America, and Korea:

United States Budget:

Korean Budget:

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Answer: When do you need it done?

Step-by-step explanation: ?

Answer:

Step-by-step explanation:

x+y=17

x-y = 7

From equation 2, x = 7 + y

put this in equation 1.

(7+y) + y = 17

7+2y = 17

2y = 10

y = 5.

We said that x = 7+y

thus, x = 7 + 5

x = 12.

2x+2y=36

2(x+y) = 36

Thus, x + y = 18.

x+y = 18

x-y=6 using elimination (literally simplifying this)

2x = 24 (y-y=0. ELIMINATED!)

x = 12

When x = 12,

x+y=18

12+y=18

y=6.

3x = y

x + y = 20

From 1, y = 3x.

x + (3x) = 20

4x = 20

x = 5.

when x = 5,

y = 3x

y = 3(5)

y = 15.

x+y = -4

xy = -21

from 1, x = -4-y

=> y(-4-y)= -21

-y²-4y = -21

Therefore,

y² + 4y -21 = 0

y= 3 or -7.

When y = 3,

x + 3 = -4

x= -7.

When y = -7,

x + (-7) = -4

x-7=-4

x = 3.

Hope these help! :)

*fingers cracking*

Question 1: The item not included in the cost of merchandise inventory is "Purchase discounts."

2: The total cost of the merchandise is $3,332.00.

5: The company's gross margin and operating expenses, are $211,000 and $191,720.

Merchandise inventory expenses normally consist of the price paid for the inventory, deductions from the purchase price resulting from purchase returns and allowances, and freight expenses paid by the purchaser.

Although purchase discounts reduce the cost of merchandise inventory, they are not considered part of it. Instead, they are treated as a distinct discount in the accounting records.

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Answer:

0.30p

Step-by-step explanation:

(px30)/100=0.3p

Answer:

0.70 p

Step-by-step explanation:

If the item is 30% off, the new price is 0.7p because we want to know how much 70% of the original price was.

The probability that the mean annual precipitation during 49 randomly picked years will be less than 87.6 inches is 0.84. This can be calculated using the Z-score formula:

(87.6 - 85) / (13 / √49) = 0.84.

The probability that the mean annual precipitation during 49 randomly picked years will be less than 87.6 inches can be calculated using the Z-score formula. This formula uses the mean, standard deviation, and number of samples to calculate a Z-score, which is then used to calculate the probability. In this case, the mean is 85 inches, the standard deviation is 13 inches, and the number of randomly selected years is 49. By plugging these values into the formula, we can calculate the Z-score, which is 0.84. This Z-score can then be used to calculate the probability, which is 0.84. This means that there is an 84% probability that the mean annual precipitation during 49 randomly picked years will be less than 87.6 inches.

(87.6 - 85) / (13 / √49) = 0.84

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Answer:

x=9

Step-by-step explanation:

The triangle is equilateral which means the sides are equal.

x+9 = 2x

Subtract x from each side

x+9-x = 2x-x

9 =x

Answer:

6.8127 × 10^16

Step-by-step explanation:

Hope this helps:)

Answer:

6.8127 *10^16

Step-by-step explanation:

Scientific notation is a way to make these numbers easier to work with. In scientific notation, you move the decimal place until you have a number between 1 and 10. Then you add a power of ten that tells how many places you moved the decimal.

Analysis of variance (ANOVA) is a statistical method used to test the differences between two or more means. It is used to determine whether there are any statistically significant differences between the means of three or more independent groups. ANOVA is based on the assumption that the samples being compared are normally distributed and have equal variances.

The basic idea behind ANOVA is to compare the variation between groups to the variation within groups. If the variation between groups is significantly greater than the variation within groups, then it can be concluded that there are significant differences between the means of the groups being compared.

There are several types of ANOVA, including one-way ANOVA, two-way ANOVA, and repeated measures ANOVA. One-way ANOVA is used when there is only one independent variable, while two-way ANOVA is used when there are two independent variables. Repeated measures ANOVA is used when the same subjects are measured multiple times under different conditions.

ANOVA produces an F-statistic, which is used to determine whether there are significant differences between the means of the groups being compared. The F-statistic is calculated by dividing the variation between groups by the variation within groups. If the F-statistic is greater than 1, then it can be concluded that there are significant differences between the means of the groups being compared.

ANOVA has several assumptions that must be met in order for it to be valid. These include normality, homogeneity of variances, and independence of observations. Violations of these assumptions can lead to inaccurate results.

In conclusion, ANOVA is a powerful statistical method used to test for differences between two or more means. It compares the variation between groups to the variation within groups and produces an F-statistic that can be used to determine whether there are significant differences between the means of the groups being compared.

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This code will print the value of the variable 'x', which is '1'. The 'printline()' function is used to display the value of a variable on the output screen.

Looking into the code we can see that:
1. The variable 'y' is declared and initialized with a value of '1'.
2. The variable 'x' is declared and initialized with a value of '1' as well.
3. The 'printline()' function is called and the variable 'x' is passed as an argument.
4. The 'printline()' function prints the value of 'x' on the output screen.

Since the value of 'x' is '1', the code will print '1' as the output.

In summary, the code will print the value of the variable 'x', which is '1'.

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