write the composite function in the form f(g(x)). (identify the inner function u = g(x) and the outer function y = f(u). use non-identity functions for g(x) and f(u).) y = cos(ex)

Answer:

180.34cm

Step-by-step explanation:

Multiply 12x5=60, then multiply 60x2.54=152.4, then multiply 11x2.54=27.94, then add 152.4+27.94 of it together, which is 180.34

The requried, to find the angle by which AB turns clockwise about point B to coincide with BC, we need to first identify points A, B, and C on a diagram.

Transform the shapes on a coordinate plane by rotating, reflecting, or translating them. Felix Klein introduced transformational geometry, a fresh viewpoint on geometry, in the 19th century.

Here,
To find the angle by which AB turns clockwise about point B to coincide with BC, we need to first identify points A, B, and C on a diagram. Once we have done that, we can draw a line from B to C, and then compare the direction of AB to the direction of BC. The angle between these two lines will be the angle by which AB turns clockwise to coincide with BC.

Similarly, to find the angle by which AB turns counterclockwise to coincide with BE, we need to identify points A, B, C, and E on a diagram. Once we have done that, we can draw a line from B to E, and then compare the direction of AB to the direction of BE. The angle between these two lines will be the angle by which AB turns counterclockwise to coincide with BE.

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Answer: 54 People said they liked dogs the best.

Step-by-step explanation:

Answer:

54 dogs

Step-by-step explanation:

Answer:

Mr. Reed still needs to run 7 5/12 miles to reach his Step-by-step explanation:

2 3/4 and 2 1/3 need to be converted to a common denominator of 12:

2 9/12 and 2 4/12

Then we need to convert the original 12 1/2:

12 6/12

Add the miles he's already run:

2 9/12 + 2 4/12 = 5 1/12

Subtract the total amount run from the total goal:

12 6/12 - 5 1/12 = 7 5/12

Therefore, he still needs to run 7 5/12 miles to meet his total 12 1/2 (or 12 6/12) miles goal.

Answer:

Factor:

9x2 – 64

=(3x+8)(3x−8)

3x – 8

The correct answer is a) the probability of precipitation is 72%. and b)  the probability of precipitation is 2%.

The given formula to determine the probability of precipitation (PoP) is PoP = (C * A) * 100 percent where C represents the confidence that precipitation will occur somewhere in the forecasted area and A represents the percentage of the area that will receive measured precipitation if it occurs.

(a) If a forecaster expresses confidence that there is an 80% chance of precipitation in the forecasted area, and it is expected to produce measurable precipitation over 90% of the area, then the probability of precipitation is given as follows: PoP = (C * A) * 100 per cent C = 80%A = 90%PoP = (80% * 90%) * 100%

PoP = 72%.

Therefore, the probability of precipitation is 72%.

(b) If a forecaster expresses confidence that there is a 20% chance of precipitation in the forecasted area, and it is expected to produce measurable precipitation over 10% of the area, then the probability of precipitation is given as follows: PoP = (C * A) * 100 per cent C = 20%A = 10%PoP = (20% * 10%) * 100%PoP = 2%

Therefore, the probability of precipitation is 2%.

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Answer:

The dimensions of the cube would be:

Step-by-step explanation:

For this exercise, I suppose the measure of each cube is 1 unit, because there no says what is (you can replace it for ft, in, or another unit you need). How the big cube is formed by the 100.000 cubes smaller, and how a cube has its three measures equal: base, height, and width, you only need to obtain the cubic root of the total cubes (you use cubic root because you're gonna calculate a cube, for example, if you'd wanna calculate a square, you must obtain the square root of the total cubes):

How each cube measure is 1 unit, when you calculate the volume of the cube with the value obtained, you must obtain the total of the cubes:

In this form, you know the answer 46,41588834 is the right answer. I use the number with just two decimals (46,42 approximately) but you can use the complete number if you need.

(a) The number of different color combinations for filling up a jar with 50 jellybeans of 4 different colors, with no restrictions on the distribution of colors, is 4^50.

(b) The number of distinct non-negative integer solutions to the equation x1 +x2+x3 + x4 +x5 +x6 +x7 =20 is 230,230, which is found using the stars and bars method.

(a) Since there are 4 colors of jellybeans and no restrictions on the distribution of colors, we can choose any combination of colors to fill up the jar. Each jellybean can be one of 4 colors, so the number of different color combinations is 4^50.

(b) This is a classic stars and bars problem. We need to find the number of non-negative integer solutions to the equation x1 +x2+x3 + x4 +x5 +x6 +x7 =20. To solve this, we can imagine representing each x variable with a star ( * ), and using bars ( | ) to separate the stars into 7 groups, with each group representing one of the x variables. For example, the solution x1=2, x2=3, x3=0, x4=5, x5=4, x6=1, x7=5 would be represented as:

**|***||*****|||||||||

There are a total of 20 stars in this diagram, and 6 bars separating them into 7 groups. The number of solutions is equal to the number of ways to arrange the 20 stars and 6 bars, which is (20+6) choose 6, or 26 choose 6, which is equal to 230,230. Therefore, there are 230,230 distinct solutions to the equation x1 +x2+x3 + x4 +x5 +x6 +x7 =20.

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Considering that a transversal line cuts two parallel lines, the relations between the angles are given as follows:

1. Corresponding angles.

2. Alternate exterior angles.

3. Consecutive interior angles.

Angles 1 and 3 are corresponding angles, as they are both at the same position relative to their lines, j for angle 1 and m for angle 3, being cut by the transversal line t.

Angles 4 and 8 are alternate exterior angles, as:

Inverse positions in both senses, left/right and up/down, hence alternate exterior angles.

Angles 2 and 3 form a supplementary pair inside the same region, between the two lines being cut by the transversal, hence they are consecutive interior angles.

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Answer: No solutions

Step-by-step explanation: there would be no solutions, because these equations have the same slope and different y-intercepts, so they would end up being parallel from each other, and would never intersect or be equivalent.

Answer:

No solution.

Explanation:

Given equations:

(1) y - 4x = -3

(2) y = 4x + 7

Substitute equation 2 into 1

y - 4x = -3

4x + 7 - 4x = -3

7 = -3

As L.H.S ≠ R.H.S, There are no solution.

The lines are parallel and do not intersect each other. Their slope is same.

Answer:

Step-by-step explanation:

it is actually in the textbook pg 119

Answer:

1/a.  This is the desired product

Step-by-step explanation:

a - 3       5                                       5

------- * --------   reduces first to ----------

 15a     a - 3                                 15a

and then to 1/a.  This is the desired product.

Answer:

C is the answer

Step-by-step explanation:

slope = -4 and y intercept =3

Answer: 12=7

Step-by-step explanation: add one side ten add the other

Yes, this is a solution because the point(s) at which all the lines intersect are the solutions to the system.

If two polygons are similar, then they have the same shape but not necessarily the same size.

They can be either enlarged or reduced in size or reflected. Hence, even though the polygons are similar, they do not have to be drawn to scale.

The term scale refers to the ratio of any two corresponding lengths in two geometric figures, so if two figures are drawn to scale, the ratio of their corresponding lengths in the drawing is the same as the ratio of their corresponding lengths in the actual figures.

Therefore, if two polygons are similar but not drawn to scale, the drawing may not be an accurate representation of the actual figures, as the scaling information may not be consistent.

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Answer:

y = x + 3

Step-by-step explanation:

In point slope form, the equation of line is,

\(y - b = m(x - a)\)

where a and b correspond to the x and y coordinates of the given point and m is the slope

Since the line is parallel to y = x+4, it has the same slope so m = 1 since the slope of y = x+4 is 1

and putting the values of the point (-1,2), we get,

y - 2 = x - (-1)

y-2 = x + 1

y = x + 3

Answer:

points (0,0), (1,4) are on the line

Step-by-step explanation:

We can take a x-value and substitute it in the equation to get a point on the graph (1 x 4 = 4). Any two points on the graph can be graphed together to create the line.

You can plot the two points to get the graph of y = 4x

Step-by-step explanation:

4x=3x

2+4x=3x+2

4x-3x=2-2

1x=0

x=1/0

X=0

(i think the question given was incomplete but this waht i could do with the given statement)

Answer:

The equation has one solution: x = 0.

Step-by-step explanation:

i just did it

The answer is $2,417.50. Option (D) is the closest value to the correct answer, but it is still slightly off.

What is area ?

In mathematics, area is the measure of the amount of space inside a two-dimensional object such as a square, rectangle, triangle, circle, or any other shape. It is usually measured in square units, such as square meters, square centimeters, square feet, or square inches

To find the area of the restaurant floor, we need to divide it into three different shapes: a rectangle, a triangle, and a trapezoid.

The rectangle has a length of 35 feet and a width of 20 feet, so its area is:

Area of rectangle = length x width = 35 ft x 20 ft = 700 sq ft

The triangle has a base of 15 feet and a height of 30 feet, so its area is:

Area of triangle = 0.5 x base x height = 0.5 x 15 ft x 30 ft = 225 sq ft

The trapezoid has bases of 35 feet and 20 feet, and a height of 30 feet. We can find the length of the trapezoid's top side by using the Pythagorean theorem:

a*a + b*b = c*c

where a and b are the lengths of the two known sides, and c is the length of the hypotenuse (the top side of the trapezoid).

Plugging in the numbers, we get:

20*2 + 15*15 = c*c

400 + 225 = c*c

625 = c*c

c = sqrt(625) = 25 ft

So the length of the top side of the trapezoid is 25 feet. To find the area of the trapezoid, we can use the formula:

Area of trapezoid = 0.5 x (base1 + base2) x height = 0.5 x (35 ft + 20 ft) x 30 ft = 825 sq ft

Now we can add up the areas of the three shapes to get the total area of the floor:

Total area = area of rectangle + area of triangle + area of trapezoid

Total area = 700 sq ft + 225 sq ft + 825 sq ft = 1750 sq ft

Finally, we can multiply the total area by the cost per square foot to get the total cost of the wax:

Total cost = total area x cost per square foot = 1750 sq ft x $1.38/sq ft = $2,417.50

Therefore, the answer is $2,417.50. Option (D) is the closest value to the correct answer, but it is still slightly off.

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Answer:

Step-by-step explanation:

This line has positive slope and the y-intercept is -5, shaded area is below the line, covers the areas:

This line has negative slope and the y-intercept is -3, shaded are is below the line, covers the areas:

Solution of the system is the intersection of the areas:

The conclusion that is correct in a two-tailed test at α = .05 is There appears to be no difference in the mean occupancy rates.

From the given values:

Thus, the P-value = 0.1791

Interpret results. Since the P-value (0.1791) is greater than the significance level (0.05), we failed to reject the null hypothesis.

From the above test, we do not have sufficient evidence in favor of the claim that there is a difference in the mean occupancy rates.

Thus, option A is correct.

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Answer:

£714.00

Step-by-step explanation:

The first step is to set up expresssions for the two shares:

Let  x = the amount of one share.  The other share is 1785 - x.  You don't have to worry about which is smaller--that part will work out automatically!

The two shares are in the ratio of 2:3, so set up the proportion

\(\frac{x}{1785-x}=\frac{2}{3}\)

Again, you don't have to worry--you could set up the proportion "upside down" and everything will work out in the end.

Solve the proportion for  x  by "cross multiplying" -- use the Means-Extremes Property of proportions.

\((3)(x)=(2)(1785-x)\\3x=3570-2x\\5x=3570\\x=714\)

So one share is £714£ and the other is £1785 - £714 = £1071.

The smaller share is £714.

Answer:

its 6900000

Step-by-step explanation:

6hue and 388

Answer:

if that statement is true, then DE=ST, and ST=4 so your answer should be DE=4

Explanation:

you can tell that they are even from looking at the first statement, it states DEF=STU, emphasizing on the DE=ST part, it gives your the answer right there because ST=4

Answer:

the answer is C.

Step-by-step explanation:

I know this because i am smart...
And katie is going to delete this so id.k why im even trying but #yolo

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TOri

This function satisfies the conditions given: it is an nth-degree polynomial with real coefficients, it has zeros at -1, 4, and 4 + 4i, and it has the value of -150 at x = 1.

A polynomial is a mathematical expression that is composed of variables and coefficients, which are combined using only addition, subtraction, and multiplication. The variables in a polynomial can be raised to whole number powers, and the highest degree of a polynomial (i.e., the highest power to which a variable is raised) is known as the degree of the polynomial. For example, the polynomial 3x^2 + 2x + 1 has a degree of 2. The terms in a polynomial are usually arranged in descending order of degree, so that the first term has the highest degree and the last term has a degree of zero. The sum or difference of two or more polynomials is also a polynomial.

To find an nth-degree polynomial function with real coefficients that satisfies the given conditions, we can use the following process:

1. Write the polynomial in factored form using the zeros:

p(x) = a(x-1)(x-4)(x-(4+4i))(x-(4-4i))

2. Use the value of f(1) to find the leading coefficient a:

f(1) = p(1) = a(0)(0)(0)(0) = -150

a = -150

3. Write the polynomial in expanded form:

p(x) = -150(x-1)(x-4)(x-(4+4i))(x-(4-4i))

The resulting polynomial function is:

p(x) = -150(x-1)(x-4)(x-(4+4i))(x-(4-4i))

This function satisfies the conditions given: it is an nth-degree polynomial with real coefficients, it has zeros at -1, 4, and 4 + 4i, and it has the value of -150 at x = 1.

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Answer:

$ 37.5

Step-by-step explanation:

It is given :

Price of the dress in the market = $ 50

The shopkeeper a discount percentage = 25%

Therefore the discount amount is = 25 % of 250

                                                         \($=\frac{25}{100}\times 50$\)

                                                         = 12.5

Therefore the sale price of the dress is =  50 - 12.5

                                                                  = 37.5

Therefore the sale price is $ 37.5

Answer:

2/(x + 1)

Step-by-step explanation:

The length that the caliper reads can be found to be the value of A. 0. 69 cm.

In order to ascertain the measurement of a caliper's length, it is imperative to recognize both the scales inscribed on it. The larger exterior scale on the caliper is known as the primary scale. The narrower scale situated inside the caliper is known as the vernier scale.

Easily determine the measurement on the primary scale by locating the numeral that corresponds with the zero indication on the vernier scale. This represents the total count of millimeters in whole.

As we can see, the main scale has a value of that is almost at 0. 70 cm but not quite there. We will therefore go to the lower one which is 0.6 cm. Then we look at the venier scale and see that at 0.09 cm, there is an alignment. This means that the length is:

= 0. 6 + 0. 09

= 0. 69 cm

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Options include:
A. 0.69 cm

B. 1.6cm

C. 0.7cm

D. 2.1 cm

The requried Burger Quick is able to estimate its wait time more consistently because it has a smaller IQR. Option A is correct.

A straightforward method of expressing statistical data on a plot in which a rectangle is drawn to represent the second and third quartiles, with a vertical line inside to indicate the median value.

Here,
Burger Quick is able to estimate its wait time more consistently because it has a smaller interquartile range (IQR). The IQR is a measure of the spread of the middle 50% of the data and is calculated as the difference between the third quartile (Q3) and the first quartile (Q1). The smaller the IQR, the more consistent the data is around the median, which is represented by the line within the box in the box plot.

In this case, Burger Quick has a smaller IQR (8.0) compared to Super Fast Food (7.0), indicating that the wait times at Burger Quick are more consistent around the median. The range, which is the difference between the maximum and minimum values, is not a good measure of consistency as it is affected by outliers.

Therefore, based on the given information, Burger Quick is able to estimate its wait time more consistently because it has a smaller IQR.

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