There are 100 cookies and 80 brownies on a dessert table at a restaurant. Of these desserts, 12 cookies and 24 brownies contain nuts. What percentage of these desserts contain nuts?

A. 12%
B. 30%
C. 20%
D. 42%

Answer: x ≤ -2

Option C is correct

Answer:

x ≤ -2 then it is C) -2

Step-by-step explanation:

7 ≤ −2x + 3

2x+7 ≤ + 3

2x ≤ 3-7

2x ≤ -4

x ≤ -4/2

x ≤ -2

The amount of each quarterly payment, rounded, for a $30,000 loan with a 6% annual interest rate to be paid off in 10 equal quarterly payments is $2,803 (option B).


To calculate the amount of each quarterly payment, we need to use the formula for calculating the equal payments on an installment loan. In this case, the loan amount is $30,000, the annual interest rate is 6%, and the loan term is 10 quarters.

Using the formula, we can determine that the amount of each quarterly payment is approximately $2,803. This amount is rounded to the nearest whole number, as specified in the question. Therefore, option B, $2,803, is the correct answer. The other options (A, C, and D) are not applicable to the calculation based on the given information.

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Answer:

1,5,9

Step-by-step explanation:

Answer:

(1.5,9)

Step-by-step explanation:

pls give this brainliest

Answer:

Step-by-step explanation:

y=2x-1

x=2

y=2*2-1=4-1=3

x=4

y=2*4-1=8-1=7

x=6

y=2*6-1=12-1=11

The requried there are 192,000 different ways to choose one teacher, one girl, and one boy to represent the school.

In arithmetic, combination and permutation are two different ways of grouping elements of a set into subsets. In combination, the components of the subset can be recorded in any order. In a permutation, the components of the subset are listed in a distinctive order.

Here,
To work out the number of different ways to choose one teacher, one girl, and one boy, we can use the multiplication principle of counting.

First, we need to choose one teacher out of 16. This can be done in 16 ways. Next, we need to choose one girl out of 120. This can be done in 120 ways. Finally, we need to choose one boy out of 100. This can be done in 100 ways.

By the multiplication principle of counting, the total number of ways to choose one teacher, one girl, and one boy is,

16 × 120 × 100 = 192,000

Therefore, there are 192,000 different ways to choose one teacher, one girl, and one boy to represent the school.

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The functions g(x) and f(x) that correspond to h(x) = \(\rm (sin\ x)^{3}\) are g(x) = cos x and f(x) = \(\rm (sin\ x)^{1/3\).

Trigonometric functions are mathematical functions that are related to the angles of a right triangle to the lengths of its sides. They are widely used in mathematics, physics, engineering, and other fields to describe and analyze periodic phenomena and wave motion.

To find g(x) and f(x) from h(x) = \(\rm (sin\ x)^{3}\), we need to use inverse operations to isolate sin x.

First, we can take the cube root of both sides of the equation to undo the cube power:

\(\rm h(x)^{1/3}\) = (sin x)

Now we can substitute this expression for sin x in the standard functions g(x) and f(x):

g(x) = cos x

f(x) = \(\rm h(x)^{1/3}\) =  \(\rm (sin\ x)^{3}\)

Therefore, the functions g(x) and f(x) that correspond to h(x) =  \(\rm (sin\ x)^{3}\) are g(x) = cos x and f(x) = \(\rm (sin\ x)^{3}\).

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Answer:

Hey there!

Solving for a:

a=x-b

Solving for x:

x=a+b

Solving for b

a+b=x

b=x-a

Let me know if this helps :)

The share of first, second and third will be 22875, 7625 , 61000 respectively

Let the share of first, second and third on be x, y, z respectively

We know the total share between three friends = 91500

x+y+z = 91500 ....(i)

Then,

First gets share three times as much as second

x = 3y ......(ii)

Third gets share twice as much as the other two combined

z = 2(x+y) ......(iii)

Solving equation (i),(ii) and (iii) we get,

3y+y+2(3y+y) = 91500

12y = 91500

y = 7625

Similarly, putting value of y in (ii) and (iii) equation we get,

x = 22,875

z = 61,000

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Answer:

negative 8

Step-by-step explanation:

Answer:

Step-by-step explanation:

\(\frac{22}{3}\) Have a good day.

Answer:

x^4 n^4

Step-by-step explanation:

(-x)^4*n^4

4 is an even power and the minus sign disappears. 4 minus signs make a plus.

x^4 n^4

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

\(( { - xn})^{4} = ({ - x})^{4} \times ({n})^{4} = \)

\(( { - 1})^{4} \times {x}^{4} \times {n}^{4} = {x}^{4} {n}^{4} \)

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

Answer:

75/76 can easily be compared to my surrounding counties

Step-by-step explanation:

Southern states had lower average credit scores than the rest of the country, despite all states experiencing a boost (between 3 and ten points) in credit scores compared to 2019. Here are the top 10 states with the lowest credit scores in 2020: Mississippi: 675. Louisiana: 684.

By knowing this, I can create a ratio of 675/684. This can then simplify to

75/76

When the diameter of the sphere is 60 mm, its radius is 30 mm. The formula for the volume of a sphere is V = (4/3)πr^3, where r is the radius.

To find how fast the volume is increasing, we need to take the derivative of V with respect to time, which gives dV/dt = 4πr^2 (dr/dt). Substituting the given values, we get dV/dt = 4π(30)^2 (2) = 7200π mm^3/s. Therefore, the volume of the sphere is increasing at a rate of 7200π mm^3/s when the diameter is 60 mm. The radius of a sphere is increasing at a rate of 2 mm/s. When the diameter is 60 mm, the radius is 30 mm. The volume of a sphere is given by the formula V = (4/3)πr³. Using the chain rule, dV/dt = (4/3)π(3)r²(dr/dt), where dV/dt is the rate of volume increase and dr/dt is the rate of radius increase. Plugging in r = 30 mm and dr/dt = 2 mm/s, we get dV/dt = 4π(30)²(2) = 7200π mm³/s. So, the volume is increasing at a rate of 7200π mm³/s when the diameter is 60 mm.

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Answer:

Hexagon

Step-by-step explanation:

Explanation: The sum of the interior angles of a hexagon must equal 720 degrees. Because the hexagon is regular, all of the interior angles will have the same measure. A hexagon has six sides and six interior angles.

Answer:

A rectangular football field is 646464 meters wide and 100100100 meters lo

How far did the player run?

Step-by-step explanation:

:)

The equation of the tangent line to the curve at t = 1 is y + 2x - 9 = 0.

(a) Sketch the curve and indicate its orientation.

The curve represented by the parametric equations x(t) = -5t and y(t) = -t² has the following graph for -2 ≤ t ≤ 2 and its orientation is in the second and third quadrants:

 The curve opens to the left and it passes through the point (-10, 100) when t = 2, and passes through the point (0, 0) when t = 0.

(b) Find the equation of the tangent line to the curve at t=1.

Using the parametric equations of the curve, we can get the first derivative of the curve y'(t) as follows:

                          y'(t) = dy(t) / dt = -2t

To get the slope of the tangent line to the curve at t = 1, we substitute t = 1 into the derivative of the curve to get:

                               y'(1) = -2(1) = -2

The slope of the tangent line to the curve at t = 1 is -2.

The point (x(1), y(1)) on the curve corresponding to t = 1 is (x(1), y(1)) = (-5(1), -(1)²) = (-5, -1).

Hence the equation of the tangent line at point (x(1), y(1)) is given by the point-slope form:y - y(1) = m (x - x(1))where m is the slope of the tangent line.

Substituting the slope and the coordinates of the point into the above equation, we have:

                                   y - (-1) = -2(x - (-5))

Simplifying the equation above, we get:y + 2x - 9 = 0

Hence, the equation of the tangent line to the curve at t = 1 is y + 2x - 9 = 0.

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The options that shows expressions which are functions in the ranges they are defined are;

Option A: f(x) = 2x + 5

Option B:  f(x) = x² + 1

Real numbers are defined as the combination of rational and irrational numbers, in the number system. This means that, all the arithmetic operations can be performed on real numbers and they can be represented in the number line.

Now, integers are defined as whole numbers that can be positive, negative or zero.

a) We are told that the input of real numbers must yield only real numbers. Yes this is true because any real number we put in for x in f(x) = 2x + 5 will yield an output that is also a real number.

b) We are told that the input of real numbers must yield only real numbers. Yes this is true because any real number we put in for x in f(x) = x² + 1 will yield an output that is also a real number.

c) We are told that the input of real numbers must yield only real numbers. No this is not true because if we put -1 which is a real number for x in the denominator, we will get an undefined function.

d) We are told that the input of integers must yield only integers. No this is not true because if we put 1 for x which is an integer, we will get a fraction which is not an integer.

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The linearized equation for the non-linear equation z = x² + 4xy + 6xy² in the region defined by 8 ≤ x ≤ 10, 2 ≤ y ≤ 4 is given by :

z ≈ 244 + 20(x - 8) + 128(y - 2).

When using the linearized equation to calculate the value of z at x = 8, y = 2, the error is 0.

1.1. To linearize the equation in the given region, we need to find the partial derivatives of z with respect to x and y:

∂z/∂x = 2x + 4y

∂z/∂y = 4x + 6xy

At the point (x₀, y₀) = (8, 2), we substitute these values:

∂z/∂x = 2(8) + 4(2) = 16 + 8 = 24

∂z/∂y = 4(8) + 6(8)(2) = 32 + 96 = 128

The linearized equation is given by:

z ≈ z₀ + ∂z/∂x * (x - x₀) + ∂z/∂y * (y - y₀)

Substituting the values, we get:

z ≈ z₀ + 24 * (x - 8) + 128 * (y - 2)

1.2. To find the error when using the linearized equation to calculate the value of z at x = 8, y = 2, we substitute these values:

z ≈ z₀ + 24 * (8 - 8) + 128 * (2 - 2)

= z₀

Therefore, the linearized equation gives the exact value of z at x = 8, y = 2, and the error is 0.

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Answer:

C = 100

Step-by-step explanation:

Supplementary angles equal 180 degrees

180 - 80 = 100

Answer:

m∠C = 100°

Step-by-step explanation:

Supplementary angles are angles that add up to 180°. We are given m∠D as 80°.

Step 1: Subtract 80 from both sides.

Therefore, the answer is 100°.

The correct answer is as follows: a) The data set that has the greatest sample standard deviation is Data set (ii).

b) Data set (ii) has the largest mean and mode, but the smallest median and the largest standard deviation.

(a) The data set that has the greatest sample standard deviation is Data set (ii).

The sample standard deviation is a measure of the amount of variation or dispersion of a set of data values.

In this case, Data set (ii) has more entries that are farther away from the mean, which results in a larger standard deviation.

(b) The data sets are the same in terms of containing the same numbers (11, 12, 13, 14, 15, 16, and 17).

However, they differ in terms of the order in which these numbers are arranged.

In addition, they differ in terms of the mean, median, mode, and standard deviation.

For example, Data set (ii) has the largest mean and mode, but the smallest median and the largest standard deviation.

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We are asked to solve for "x" in the equation:

r x + q x - d = g c

so we need to isolate "x" on one side of the equal sign.

We proceed to group all the terms that do NOT contain "x" on the right hand side, by "adding " d to both sides:

r x + q x = g c + d

now we extract "x" as a common factor for the two terms on the left, using the inverse of the distributive property:

x (r + q) = g c + d

Now, to isolate x on the left, we divide both sides by the quantity in parenthesis "( r+ q )":

x = (g c + d) /(r + q)

If you are given options to choose look for the following:

Answer:

The fixed costs per day for the factory is $10,000 and marginal cost of one refrigerator for $500

Step-by-step explanation:

Let

Cost per refrigerator (marginal cost) = r

Fixed costs per day for the factory = f

Total cost = variable cost + fixed cost

Monday

25,000 = 30r + f

Tuesday

30,000 = 40r + f

Using Monday,

f = 25000 -30r

Substitute f = 25000 - 30r into Tuesday

30,000 = 40r + f

30,000 = 40r + (25,000 -30r)

30,000 = 40r + 25,000 - 30r

Collect like terms

30,000 - 25,000 = 40r - 30r

5,000 = 10r

Divide both sides by 10

r = 5,000 / 10

= 500

r = $500

Substitute r= 500 into Monday equation

f = 25,000 -30r

= 25,000 - 30(500)

= 25,000 - 15,000

= 10,000

f = $10,000

Therefore, the fixed costs per day for the factory is $10,000 and marginal cost of one refrigerator for $500

The relation S, defined as the "divides" relation from set A to set B, consists of ordered pairs where the first element divides the second element.

Given set A = {4, 5, 6} and set B = {6, 7, 8}, we can determine the ordered pairs in the relation S by checking which elements in A divide the elements in B.

For S, the ordered pairs (x, y) ∈ A ✕ B where x divides y are:

S = {(4, 8), (5, 5), (6, 6), (6, 8)}

To find the ordered pairs in S−1, we need to consider the pairs where the second element divides the first element:

S−1 = {(8, 4), (5, 5), (6, 6), (8, 6)}

Therefore, S = {(4, 8), (5, 5), (6, 6), (6, 8)} and S−1 = {(8, 4), (5, 5), (6, 6), (8, 6)}. These sets represent the ordered pairs in the relation S and S−1, respectively, based on the "divides" relation from set A to set B.

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Answer:

\(5 \sqrt{3} \)

Step-by-step explanation:

Frist find which perfect square goes into 75. In this case its 25 * 3. You then find out what is the square root of 25. Which is 5. you put that number outside the radical and the other number inside the radical. resulting in 5 square roots of 3.

Answer: Simplify the radical by breaking the radicand up into a product of known factors, assuming positive real numbers.

Exact Form:

5√3

Decimal Form:

8.66025403…

The price per night for a Suite room for check-in on Friday and Saturday would be amount $278.50 .

The price per night for a Suite room for check-in on Friday and Saturday would be amount $278.50.

1. Calculate the price of a Deluxe room for check-in on Sunday until Thursday:

$223 / 1.70 = $131.18

2. Calculate the price of a Deluxe room for check-in on Friday and Saturday:

$131.18 x 1.25 = $163.98

3. Calculate the price of a Suite room for check-in on Friday and Saturday:

$163.98 x 1.70 = $278.50

The price per night for a Suite room for check-in on Friday and Saturday would be $278.50.

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The factor that does NOT control the stability of a slope is the angle of repose for intact bedrock. The angle of repose refers to the steepest angle at which a pile of loose material remains stable without sliding. It is mainly applicable to loose materials like soil and granular substances, not intact bedrock.

Bedrock stability depends on factors such as its strength, fracturing, and geological properties, rather than the angle of repose. Factors that control the stability of a slope include whether the slope is rock or soil. Rock slopes tend to be more stable than soil slopes due to the cohesive nature of intact rock.

The amount of water in the soil also affects slope stability, as excessive water can increase pore pressure and reduce the shear strength of the soil, leading to slope failure. Additionally, the orientation of fractures, cleavage, and bedding in the rock can influence slope stability by creating planes of weakness or strength.

To summarize, while the angle of repose is a significant factor in slope stability, it is not applicable to intact bedrock. The stability of a slope is influenced by the type of material (rock or soil), the presence of water, and the orientation of fractures and bedding.

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