If you randomly select a card from a well-shuffled standard deck of 52 cards, what is the probability that the card you select is a club or spade? (Your answer must be in the form of a reduced fraction.)

112 square inches make up the ABCD figure.

The area of trapezoid is given by :Area \($=\frac{1}{2} \times(a+b) h$\), where h is the trapezoid's height and a and b are the parallel opposite sides.

The area of trapezoid A B C D with height 7 inches and opposite parallel sides 14 inches and 18 inches is calculated from the provided image by:-

\(& \text { Area }=\frac{1}{2} \times(14+18) 7 \\\)

\(& \Rightarrow \text { Area }=\frac{1}{2}(32)(7) \\\)

\(& \Rightarrow \text { Area }=16 \times 7 \\\)

\(& \Rightarrow \text { Area }=112 \text { inches }^2\)

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According to the concept of algebraic expression and arithmetic, the correct answers are A) Number of adults = N - 25. B) Number of adults when N = 124: 124 - 25 = 99

A) Let's denote the number of children as N. Since there are 25 fewer adults than children, the number of adults can be expressed as N - 25.

B) If there are 124 children, we substitute N with 124 in the expression from part A. Thus, the number of adults would be 124 - 25 = 99.

To arrive at these answers, we used the given information that there are "N" children and 25 fewer adults than children. By substituting the value of N, we determined the number of adults in terms of N and then calculated the specific number of adults when N is equal to 124.

Note: The given question is incomplete. The complete question is:

Some adults and children are watching a musical. there are 'N' number of children. There are 25 fewer adults than children.

A) find the number of adults in terms of 'N'.

B) if there are 124 children how many adults are there?​

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Answer:

That is right

Step-by-step explanation:

An outlier is a number that does not fit in a data set and is does not belong because it is to high or to low. In this case it is to low.

9514 1404 393

Answer:

  B. only (-2, 9)

Step-by-step explanation:

A graph of the equation makes it easy to see that (-2, 9) is a solution and (2, -9) is not.

You can try these values of x in the equation to see what the corresponding y-values are.

  y = -2{-2, 2} +5 = {4, -4} +5 = {9, 1}

Points on the line are (-2, 9) and (2, 1).

(2, -9) is not a solution.

Answer:

B

Step-by-step explanation:

I know it is B. I know it because I put b in and I got it right on khan academy

The integral is ln|x + cos(x)| + C, where C represents the constant of integration.

To find the integral of the function 1/(x + cos(x)), we can employ a combination of algebraic manipulation and the use of standard integration techniques. Here's the solution:

First, let's rewrite the integral in a slightly different form to simplify the process:

∫(1/(x + cos(x))) dx

We notice that the denominator, x + cos(x), is not amenable to direct integration. To overcome this, we employ a substitution. Let's set u = x + cos(x). Now, differentiate u with respect to x: du/dx = 1 - sin(x).

Rearranging this equation, we get dx = du/(1 - sin(x)).

Substituting these values, the integral becomes:

∫(1/(u(1 - sin(x)))) du

Next, we simplify further by factoring out 1/(1 - sin(x)) from the integral:

∫(1/(u(1 - sin(x)))) du = ∫(1/u) du = ln|u| + C

Replacing u with its original expression, we have:

ln|x + cos(x)| + C

Therefore, the answer to the integral is ln|x + cos(x)| + C, where C represents the constant of integration.

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Answer:

172,600

Step-by-step explanation:

hii so basically the mean is the same as average so add all together and divide by how many prices in this case there originally were

so 181,000+187,000+144,000+176,000+175,000=863,000

then divide by 5

863,000/5=172,600

hope this helped !

According to the problem, the total cost would be the sum $42 + $8 = $50.

To find the employee commission in percentage, we just have to divide

Then, we multiply by 100

The perimeter of the figure is 58 m.

To find the perimeter of the given figure we can divide the figure in three rectangles.

Rectangle 1:

Perimeter= 2 (l + w)

= 2(5 + 2)

= 2 x 7

= 14 m

Rectangle 2:

Perimeter= 2 (l + w)

= 2(5 + 1)

= 2 x 6

= 12 m

Rectangle 3:

Perimeter= 2 (l + w)

= 2(14 + 2)

= 2 x 16

= 32 m

So, the perimeter of the figure is

= 14 + 12 + 32

= 58 m

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Answer:

14 & 21

Step-by-step explanation:

14 + 21 = 35

21 - 14 = 7

Answer:

21 & 14

Step-by-Step explanation:

35 minus 7= 28 then divide that by 2 and you get 14 so now add the 7 to 14 and you get 21 and that will be the bigger number.

Answer:

x = 15

Step-by-step explanation:

the segment inside the triangle is an angle bisector and divides the side opposite the bisected angle into segments that are proportional to the other two sides, that is

\(\frac{x}{21-x}\) = \(\frac{25}{10}\) ( cross- multiply )

10x = 25(21 - x)

10x = 525 - 25x ( add 25x to both sides )

35x = 525 ( divide both sides by 35 )

x = 15

Answer:

Step-by-step explanation:

(x-2)(x-2)(x-4)

Answer:

2

Step-by-step explanation:

To evaluate the expression substitute t = 4 into the expression, that is

8/t = 8/4 =2

Answer:8/2=4

Step-by-step explanation:

9514 1404 393

Answer:

  see attached

Step-by-step explanation:

The line of reflection has a slope of -1/2, so each image point will be on a line of slope 2 through the corresponding pre-image point. It may be easiest to count the grid squares between the pre-image point and the line, then again from the line to the location of the image point. Those distances will be the same.

The reflected image is shown in the first attachment.

__

If you want to do this algebraically, the formulas for finding the reflected points are given in the second attachment. For the given line, these become ...

  (x, y) ⇒ (4/5 + 3/5x -4/5y, 8/5 - 4/5x - 3/5y)

Example:

  C(-3, -5) ⇒ ((4 +3(-3) -4(-5))/5, (8 -4(-3) -3(-5))/5) = (15/5, 35/5) = C'(3, 7)

The correct option is A) 20.2.

What is triangle sum?

The triangle sum is a property of triangles that states that the sum of the interior angles of a triangle is always equal to 180 degrees. In other words, if you add up the measures of the three angles inside a triangle, the result will always be 180 degrees.

Using the given information and the fact that the angles in a triangle sum to 180 degrees, we can find the value of x as follows:

Start by finding the measure of angle K by subtracting the measures of angles A and B from 180 degrees:

K = 180 - A - B

= 180 - 84 - 65

= 31 degrees

Use the law of sines to set up an equation relating the side lengths and corresponding angle measures:

sin(A)/x = sin(K)/17

Substitute the values we know into the equation and solve for x:

sin(84)/x = sin(31)/17

x = sin(84)*17/sin(31)

Using a calculator, we get:

x ≈ 20.2

Therefore, the value of x in the triangle is approximately 20.2.

So, the correct option is A) 20.2.

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Answer:

y = 1/2x + 5

Step-by-step explanation:

hope this helps :)

Answer:

y= 1/2x +5

Step-by-step explanation:

3x-6y=-30

-3x -3x

-6y = -3x -30

/-6 /-6 /-6

y = 1/2 +5

After 18 years, the investment compounded periodically (quarterly) will be worth $1,230.23 more than the investment compounded annually.

Compounded interest refers to the interest system that charges interest on both principal and accumulated interest.

The period of compounding in a year determines the worth of the future value.

The future value can be ascertained using an online finance calculator as follows:

Interest periods: = 4 times yearly (Quarterly)

Principal = $5,000

Annual interest rate = 9%

Number of years: 18

N (# of periods) = 72 quarters (18 years x 4)

I/Y (Interest per year) = 9%

PV (Present Value) = $5,000

PMT (Periodic Payment) = $0

Results:

Future Value (FV) = $24,815.83

Total Interest = $19,815.83

Interest periods: = Annually

N (# of periods) = 18 years

I/Y (Interest per year) = 9%

PV (Present Value) = $5,000

PMT (Periodic Payment) = $0

Results:

Future Value (FV) = $23,585.60

Total Interest = $18,585.60

Difference in Future Values $1,230.23 ($24,815.83 - $23,585.60)

Thus, an investment compounded periodically earns more than an investment compounded annually.

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Answer:im stumped too

Step-by-step explanation:

Answer:

3%

Step-by-step explanation:

$390 x tax rate = 11.70

tax rate = 11.70/390

tax rate = .03 or 3%

Answer:

-40

Step-by-step explanation:

It states with g(-2) that x = -2, so we can plug -2 for x.

g(x) = 3x^3 - 2x^2 + 4x
g(x) = 3(-2)^3 - 2(-2)^2 + 4(-2)
g(x) = 3(-8) - 2(4) + 4(-2)
g(x) = -24 - 8 - 8
g(x) = -40

Answer:

Cost of 1 article is Rs10

The solutions are: x = ln(2) for 2eˣ = 4,  x = ln(25)/4 for e⁴ˣ = 25, x = ln(72) for eˣ = 72 and x = ln(124)/3 for e³ˣ = 124.

To solve these equations using natural logarithm, we can use the following rules:

Using these rules, we can solve the given equations as follows:

2eˣ = 4

Divide both sides by 2 to get

eˣ = 2.

Take the natural logarithm of both sides to get

ln(eˣ) = ln(2).

Using rule 1 above, we can simplify ln(eˣ) to x, and we get

x = ln(2).

e⁴ˣ = 25

4x = ln(25).

Divide both sides by 4 to get

x = ln(25)/4.

eˣ = 72

Take the natural logarithm of both sides to get

x = ln(72).

e³ˣ = 124

Take the natural logarithm of both sides to get

3x = ln(124).

Divide both sides by 3 to get

x = ln(124)/3.

For the second set of equations, we use the same rule as above

So, we have

ln(x - 3) = 2

x - 3 = e²

x = e² + 3.

x ≈ 10.389.

Therefore, the solution is x ≈ 10.389.

ln(2t) = 4

2t = e⁴

t = 0.5 * e⁴

t ≈ 27.299.

Therefore, the solution is t ≈ 27.299.

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Answer: C

Step-by-step explanation:

1. divide 3 by 2 to find out how many pounds of blueberries she picked each day. 3/2 is 1.5

2. multiply 1.5 by 16 to convert to ounces. 1.5x16 is 24.

3. she picked 24 ounces of blueberries each day.

Answer:

Domain: x ≥ -2

Range: y ≥ -4

Step-by-step explanation:

Since the dot is filled in, it means that the values of domain and range will be greater than or equal. The domain is represents all the values of x, and range is of y, shown in the graph. The smallest value of x is -2, and it continues to the right, increasing. The smallest value of y is -4, and it continues its way up, also increasing.

Answer: 26129.6

Step-by-step explanation:

6721 x 381 = 2560701

14 + 84 = 98

2560701  / 98 = 26129.6

Answer:

y = sec(x-2) - 1

Step-by-step explanation:

We can determine the graph is of a secant by the repeating parabolas. From there, graph sec(x) and add the transformations necessary to replicate the graph.

Answer:

The value of d is -3.

Step-by-step explanation:

We are given that a line that includes the two points (-8, 9) and (-10, d) have a slope of 6. We want to determine the value of d.

Recall that the formula for slope is:

\(\displaystyle m = \frac{\Delta y}{\Delta x}\)

We know that the slope is 6. Substitute:

\(\displaystyle (6) = \frac{(d) - (9) }{(-10) - (-8)}\)

Solve for d:

\(\displaystyle \begin{aligned} 6 & = \frac{d - 9}{-10 + 8} \\ \\ 6 & = \frac{d - 9}{-2} \\ \\ -12 & = d - 9 \\ \\ d & = -3 \end{aligned}\)

In conclusion, the value of d is -3.

Answer:

25 daily tickets cost $2.50 more than 5 weekly tickets.

Step-by-step explanation:

Answer:

\(x=50\)

Step-by-step explanation:

\(log(2x)=2\\\\10^{log(2x)}=10^2\\\\2x=100\\\\\frac{2x}{2}=\frac{100}{2}\\ \\ x=50\)

The best interpretation for the expression 85h + 75 is;

The charge for each hour worked is $85

The initial charge before commencement of work per hour is $75

The general formula of the equation of a line in slope intercept form is;

y = mx + c

where;

m is slope

c is y-intercept

Now, the slope may also be called the rate of change of the output with the input while the y-intercept represents the initial value or the value of the output when the input is zero.

Now, we are given the equation for total bill as;

T = 85h + 75

where h is number of hours worked

Thus;

The charge for each hour worked is $85

The initial charge will be $75 before commencement of work per hour.

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