What is 500 divided by 10 x 4 + 15

Answer:

given, 4/12=x/18

now,

4/12=x/18

or, 18×4=12x

or, 72 =12x

or, x=72/12

therefore, x=6

so, the answer is x=6....

Answer:

6.25

Step-by-step explanation:

=1.20*5

=6.25

Answer:

6

Step-by-step explanation:

1.20 x 5 = 6

6/5 = 1.20

Answer:

I believe the answer is A, C

Answer:

24 sq in

Step-by-step explanation:

Hope this helps

The size of the sample space in this experiment can be found by calculating the number of ways the family can choose 9 states from the 50 US states. This can be done using the combination formula, which is given by:

nCr = n! / (r! * (n-r)!)

In this case, n represents the total number of states (50) and r represents the number of states the family wants to choose (9). So, the formula becomes:

50C9 = 50! / (9! * (50-9)!)

Simplifying the expression:

50C9 = (50 * 49 * 48 * 47 * 46 * 45 * 44 * 43 * 42) / (9 * 8 * 7 * 6 * 5 * 4 * 3 * 2 * 1)

Calculating this expression will give you the size of the sample space, which is the number of ways the family can choose 9 states from the 50 US states.

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The size of the sample space in this experiment is a large number that represents all possible combinations of choosing 9 states out of the 50 US states.

The sample space in this experiment refers to the total number of possible outcomes. In this case, the family is choosing 9 states to visit from the 50 US states. To find the size of the sample space, we can use the concept of combinations.

Since the family is choosing 9 states out of 50, we can calculate the number of combinations using the formula:

    \(n_C_r = \frac{n!}{(r!(n-r)!)}\), where n is the total number of items and r is the number of items chosen.

In this case, n = 50 (total number of US states) and r = 9 (number of states chosen). Plugging these values into the formula, we get:

    \(50_C_9 = \frac{50!}{(9!(50-9)!)}\)

Now let's simplify this expression:

    \(\frac{50!}{(9!(50-9)!)} = \frac{50!}{(9!(41)!)}\)

Using factorials, we can calculate:

    50! = 50 * 49 * 48 * ... * 2 * 1
    9! = 9 * 8 * ... * 2 * 1
    41! = 41 * 40 * ... * 2 * 1

Now we can substitute these values back into the expression:

    \(\frac{50!}{(9!(41)!)} =  \frac{(50 * 49 * 48 * ... * 2 * 1)}{((9 * 8 * ... * 2 * 1)(41 * 40 * ... * 2 * 1)) }\)

After simplifying, we find that the size of the sample space is a very large number.

In conclusion, the size of the sample space in this experiment is a large number that represents all possible combinations of choosing 9 states out of the 50 US states.

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Answer:

20 weeks

Step-by-step explanation:

This question, luckily, can be solved with a very simple algebraic expression.

Let w = the amount of weeks.

\(25w = 500\)

So from here, we need to divide both sides by 25 to get w by itself: \(w = 20\)

Therefore, it will take Aubree 20 weeks to have enough money to buy the computer.

Compound probabilities that required AND use multiplication

The probability of compound events is of two types

As a general rule, the AND probability require products

Take for instance

P(A and B) = P(A) and P(B)

This gives

P(A and B) = P(A) *  P(B)

So, compound probabilities that required AND use multiplication

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To represent decimal values ranging from 0 to 12,500, we need 14 bits.

To determine the number of bits needed to represent decimal values ranging from 0 to 12,500, we need to find the smallest number of bits that can represent the largest value in this range, which is 12,500.

The binary representation of a decimal number requires log base 2 of the decimal number of bits. In this case, we can calculate log base 2 of 12,500 to find the minimum number of bits needed.

log2(12,500) ≈ 13.60

Since we can't have a fraction of a bit, we round up to the nearest whole number. Therefore, we need at least 14 bits to represent values ranging from 0 to 12,500.

Using 14 bits, we can represent decimal values from 0 to (2^14 - 1), which is 0 to 16,383. This range covers the values 0 to 12,500, fulfilling the requirement.

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The point (9, -7) is the only solution to the system of linear inequalities given.

To determine which point would be a solution to the system of linear inequalities, let's substitute the given points into the inequalities and see which point satisfies both inequalities.

The system of linear inequalities is:

y > -4x + 6

y > (1/3)x - 7

Let's test each given point:

For the point (9, -7):

Substituting the values into the inequalities:

-7 > -4(9) + 6

-7 > -36 + 6

-7 > -30 (True)

-7 > (1/3)(9) - 7

-7 > 3 - 7

-7 > -4 (True)

Since both inequalities are true for the point (9, -7), it is a solution to the system of linear inequalities.

For the point (-12, -2):

Substituting the values into the inequalities:

-2 > -4(-12) + 6

-2 > 48 + 6

-2 > 54 (False)

-2 > (1/3)(-12) - 7

-2 > -4 - 7

-2 > -11 (False)

Since both inequalities are false for the point (-12, -2), it is not a solution to the system of linear inequalities.

For the point (12, 1):

Substituting the values into the inequalities:

1 > -4(12) + 6

1 > -48 + 6

1 > -42 (True)

1 > (1/3)(12) - 7

1 > 4 - 7

1 > -3 (True)

Since both inequalities are true for the point (12, 1), it is a solution to the system of linear inequalities.

For the point (-12, -7):

Substituting the values into the inequalities:

-7 > -4(-12) + 6

-7 > 48 + 6

-7 > 54 (False)

-7 > (1/3)(-12) - 7

-7 > -4 - 7

-7 > -11 (True)

Since one inequality is true and the other is false for the point (-12, -7), it is not a solution to the system of linear inequalities.

In conclusion, the point (9, -7) is the only solution to the system of linear inequalities given.

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The ordered pair (0, 3) is in the solution set of y ≥ 3 - x, as it satisfies the inequality. Other ordered pairs in the solution set include (1, 2), (2, 1), etc.

To find an ordered pair in the solution set of the inequality y ≥ 3 - x, we need to find values of x and y that satisfy the inequality. The inequality y ≥ 3 - x means that the value of y should be greater than or equal to the result of 3 minus x. We can start by picking a value for x and then solving for y. For example, if we choose x = 0, the inequality becomes y ≥ 3 - 0, or y ≥ 3. In this case, one ordered pair in the solution set is (0, 3). Another example is when x = 1, y ≥ 3 - 1, or y ≥ 2, giving us the ordered pair (1, 2). The solution set includes all ordered pairs that satisfy the inequality.

Calculation steps:
1. Choose a value for x.
2. Substitute the value of x into the inequality y ≥ 3 - x.
3. Solve the inequality for y.
4. Write the ordered pair (x, y) that satisfies the inequality.

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Option:-

\( \: \)

Given:-

\( \: \)

Solution:-

\( \: \)

\( \: \)

\( \: \)

━━━━━━━━━━━━━━━━━━━━━━━

hope it helps ⸙

Answer:

a) 3x + 2

Step-by-step explanation:

Now we have to,

→ Find the quotient of the following.

Given problem,

→ (9x + 6) ÷ 3

Let's find the required quotient,

→ (9x + 6) ÷ 3

→ (9x + 6)/3

→ (9x/3) + (6/3)

→ (3x) + (2)

→ 3x + 2

Hence, the option (a) is correct.

Answer: I think it might be 2.

Answer:

If the radius is 10mi, height is 22mi, the answer is V≈6911.5

If the radius is 22mi, height is 10mi,  the answer is V≈15205.31

The total number of undergraduates attending the college is approximately 4,818. The 2,650 women undergraduates at the college comprise 55% of all undergraduates. We are supposed to calculate the total number of undergraduates that attend the college.

In this case, we can use the concept of percentage to find the total number of undergraduates attending the college. We know that 2,650 women undergraduates are 55% of all undergraduates.Let's assume the total number of undergraduates be x.

Number of women undergraduates = 55% of x = (55/100) * x = (11/20) * xAccording to the question, number of women undergraduates = 2,650.(11/20) * x = 2,650

Multiplying both sides by 20/11 we get,x = 20/11 * 2,650 = 4,818.18Approximately, the number of undergraduates attending the college is 4,818.

The given problem is the total number of undergraduates attending the college is approximately 4,818.

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Answer:

\( A = \dfrac{8x}{3x + 1} \)

Step-by-step explanation:

\(A = \dfrac{bh}{2}\)

\( A = \dfrac{16x^2}{9x^2 - 1} \times \dfrac{6x^2 - 5x + 1}{2x^2 - x} \times \dfrac{1}{2} \)

\( A = \dfrac{(16x^2)(6x^2 - 5x + 1)}{2(9x^2 - 1)(2x^2 - x)} \)

\( A = \dfrac{(16x^2)(2x - 1)(3x - 1)}{2(3x - 1)(3x + 1)(x)(2x - 1)} \)

\( A = \dfrac{8x}{3x + 1} \)

a. The range of the data is the difference between the largest and smallest values 67. b. this inequality is true, 165 is an outlier.

a. The measures of center for the data are:

Mean: (28+47+72+30+95+55+68)/7 = 55.43

Median: In order, the data are 28, 30, 47, 55, 68, 72, and 95. The middle two values are 55 and 68, so the median is their average, which is 61.5

The range of the data is the difference between the largest and smallest values: 95 - 28 = 67

b. To determine if 165 is an outlier, we can use the interquartile range (IQR) and the 1.5 x IQR rule. The IQR is the range of the middle 50% of the data. To find the quartiles, we first need to order the data:

28, 30, 47, 55, 68, 72, 95, 165

The median is still 61.5. The first quartile (Q1) is the median of the lower half of the data, which is 30. The third quartile (Q3) is the median of the upper half of the data, which is 72. Therefore, the IQR is:

IQR = Q3 - Q1 = 72 - 30 = 42

According to the 1.5 x IQR rule, an observation is an outlier if it is more than 1.5 x IQR away from the nearest quartile. The nearest quartile to 165 is Q3, so we need to check if:

165 - Q3 > 1.5 x IQR

165 - 72 > 1.5 x 42

93 > 63

Since this inequality is true, 165 is an outlier.

Adding an outlier to a data set can have a significant effect on the measures of center and variation. The mean is sensitive to outliers, so adding 165, which is much larger than the other values, will increase the mean. The median is more resistant to outliers, so it will not be affected as much. The range will also increase because the difference between 165 and the next largest value (95) is much larger than the differences between the other values. The standard deviation will also increase because it is a measure of how spread out the data are, and the outlier makes the data more spread out.

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Let L be the length of the rectangular garden.

The perimeter of a rectangle is given by the formula P = 2L + 2W, where P is the perimeter, L is the length, and W is the width.

Substituting the given values, we get:

328 = 2L + 2(67)

Simplifying the equation, we get:

328 = 2L + 134

2L = 328 - 134

2L = 194

L = 194/2

L = 97

Therefore, the length of the rectangular garden is 97 meters.

The correct answer is B. The graph of h is the graph of g vertically shifted up 1 unit.

The correct answer is:

B. The graph of h is the graph of g vertically shifted up 1 unit.

Explanation:

The original function g(x) = x² represents a basic quadratic function, which is a parabola that opens upward and has its vertex at the origin (0, 0).

When we consider the function h(x) = g(x) + 1, we are adding a constant value of 1 to the output (y) values of the function g(x). This results in a vertical shift of the graph of g(x) by 1 unit upward.

In other words, for every x-value, the corresponding y-value of the function h(x) will be 1 unit higher than the corresponding y-value of the function g(x).

Visually, this means that the graph of h(x) will be the same shape as the graph of g(x), but it will be shifted upward by 1 unit. The vertex of the parabola, which was originally at the origin, will now be at (0, 1).

The statement "The graph of h is the graph of g horizontally shifted left 1 unit" (Option A) is incorrect because there is no horizontal shift in this transformation.

The statement "The graph of h is the graph of g vertically shifted down 1 unit" (Option B) is incorrect because the transformation results in a vertical shift upward, not downward.

The statement "The graph of h is the graph of g horizontally shifted right 1 unit" (Option D) is incorrect because there is no horizontal shift in this transformation.

Therefore, the correct answer is B. The graph of h is the graph of g vertically shifted up 1 unit.

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Answer:

36 cups of flour

Step-by-step explanation:

if 3 cups of flour=8 ounces.what about 96 onces you cross multiply

The number of cups of flour will be use if he used 96 ounces of water is 36.

Given that, a baker is making bread dough. He uses 3 cups of flour for every 8 ounces of water.

Proportion, in general, is referred to as a part, share, or number considered in comparative relation to a whole. Proportion definition says that when two ratios are equivalent, they are in proportion. It is an equation or statement used to depict that two ratios or fractions are equal.

Let the number of cups of flour will be use if he used 96 ounces of water is x.

3:8::x:96

⇒ 8×x=96×3

⇒ 8x=288

⇒ x=288/8

⇒ x=36

Therefore, the number of cups of flour will be use if he used 96 ounces of water is 36.

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Answer:

$7910.3

Step-by-step explanation:

Given data

P=$3572

n=4

T=16 years

R= 5%

The compound interest is expressed as

A= P(1+r/n)^nt

Substitute

A=3572(1+0.05/4)^16*4

A=3572(1+0.0125)^64

A=3572(1.0125)^64

A=3572*2.21453241061

A=$7910.3

The function \(B(t) = 182(1.065)^t\) represents the annual population of bees in a county park, the growth rate is 6.5%.

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

An independent variable is a variable that does not depend on any other variable for its value while a dependent variable is a variable that depends on other variable.

Length of Charles garden = 12.5 m * 12 = 150 m

Length of Stephen chain = 150 m /18 = 25/3 m

Breadth of Charles garden - 25/3 * 10 = 250/3 m

Area of Charles garden = 150 m * 250/3 m = 12500 m =

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Answer: A = (1m/3)^2 or A= (1/3)^2 m

Or A= (1/3)(1/3)

Step-by-step explanation:

No choices given, but it will look like one these answers.

The area of a square that has a side length of 1/3 meter is 1/9 square meter.

I hope this helps you.

Answer:

a= (1/3)(1/3)

Step-by-step explanation:

Answer:

x = 60

Step-by-step explanation:

(2x + 15)° and 135° are corresponding angles and are congruent , then

2x + 15 = 135 ( subtract 15 from both sides )

2x = 120 ( divide both sides by 2 )

x = 60

Answer:

x = 60

Step-by-step explanation:

The two angles are corresponding. This means that both of the angles are congruent (same). So, you set both of them equal to each other. That means to do 2x + 15 = 135. You do basic algebra and then you get 60 for x. Hope this helps!

The given region in the plane is shown in the figure below.

The points of intersection of the parabola \(y=3-x^2\) and the line \(y=x+1\) can be found by solving the simultaneous equations.

\(Substituting the value of y in the equation of parabola gives\(3-x^{2} = x+1\)\)

\(Rearranging gives\(x^{2}+x-2=0\), whose roots are\(x_{1}=-2, x_{2}=1\)\)

Thus, the given region is bounded below by the line \(y=x+1\), bounded above by the parabola \(y=3-x^2\), and bounded by the vertical lines \(x=-2\) and \(x=1\).

Thus, the region \(D\) is defined as\(D = \{(x,y) \;|\; -2 \leq x \leq 1, \; x+1 \leq y \leq 3-x^2\}\)

The integrand is \(f(x,y) = x-2\)The limits of integration are\(x_{\min}=-2, \; x_{\max}=1\)\(y_{\min} = x+1, \; y_{\max} = 3-x^2\)

Hence, the required integral is\( \begin{aligned} \iint_{D} (x-2) d A &= \int_{x_{\min}}^{x_{\max}} \int_{y_{\min}}^{y_{\max}} (x-2) dydx\\ &= \int_{-2}^{1} \int_{x+1}^{3-x^2} (x-2) dydx \end{aligned}\)

Let us evaluate the inner integral first:\(\begin{aligned} \int_{x+1}^{3-x^2} (x-2) dy &= (x-2) \int_{x+1}^{3-x^2} dy\\ &= (x-2)(-x^2-x+2) \end{aligned}\)

Substituting the limits of integration:\(\begin{aligned} \int_{-2}^{1} \int_{x+1}^{3-x^2} (x-2) dydx &= \int_{-2}^{1} (x-2)(-x^2-x+2) dx\\ &= \int_{-2}^{1} (-x^3+x^2+2x^2-2x+4x-4) dx\\ &= \int_{-2}^{1} (-x^3+3x^2+2x-4) dx\\ &= \left[ -\frac{x^4}{4} + x^3 + x^2 -4x \right]_{-2}^1\\ &= \left(\frac{1}{4} + 1 + 1 -4\right) - \left(4 - 8 + 4 - 16\right)\\ &= \boxed{17/4} \end{aligned}\)

Hence, the required value of the integral is \(17/4\).

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Answer:

Step-by-step explanation:

(x 2 y) 4 = x2*4 y 1*4  = x 8 y4

An exponent raised to another exponent means to multiply the exponents. If a number does not have a visible exponent, then it is an implied 1.

The required simplified form of the expression is 1 / (x² · y⁴) which is the correct answer would be an option (D).

When multiplying similar bases, keep the base and add the exponents the same. When comparing one power to another, keep the base constant and multiply the exponents. Keep the base constant when dividing like bases and subtract the denominator exponent from the numerator exponent.

Simplify x raised to the negative second power over y raised to the fourth power.

The expression is given in the question below as:

x⁻² / y⁴

The expression can be simplified as follows:

⇒ x⁻² / y⁴

⇒ (1 / x²) / (y⁴)

⇒ 1 / (x²) · y⁴)

⇒ 1 / (x² · y⁴)

Therefore, the simplified form of the expression is 1 / (x² · y⁴).

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