4
A store owner buys jeans at a wholesale
price, marks up the price by 34%, and
sells the jeans for $56.95. What is the
wholesale price of the jeans?
O A. $19.36
OB. $22.95
OC. $37.59
OD. $42.50

The solution to the equation log₂(x + 2) = log₂(x - 2) + logg(36) + 6096(3) is x = 2.

To solve the equation log₂(x + 2) = log₂(x - 2) + logg(36) + 6096(3), we can simplify it using logarithmic properties.

First, let's simplify the right side of the equation:

log₂(x - 2) + logg(36) + 6096(3)

Since the logarithm base is not specified for the term logg(36), I assume it is log base 10. So, we can rewrite it as:

log₂(x - 2) + log₁₀(36) + 6096(3)

Next, we simplify log₁₀(36) using the logarithmic property log₁₀(a) = log_b(a) / log_b(10), where b is the desired base:

log₁₀(36) = log₂(36) / log₂(10)

Now, the equation becomes:

log₂(x + 2) = log₂(x - 2) + log₂(36) / log₂(10) + 6096(3)

To solve the equation, we can use the property of logarithms that states if log_b(x) = log_b(y), then x = y. Applying this property, we can equate the expressions inside the logarithms:

x + 2 = (x - 2) * (36 / 10) * 6096^3

Now, we can simplify the equation further:

x + 2 = (x - 2) * (36 * 1000 * 6096^3)

Simplifying the right side of the equation, we get:

x + 2 = (x - 2) * (22,091,041,536)

Expanding the equation, we have:

x + 2 = 22,091,041,536(x - 2)

Now, we can solve for x by distributing and simplifying:

x + 2 = 22,091,041,536x - 44,182,083,072

Combining like terms, we get:

22,091,041,535x = 44,182,083,074

Finally, we can solve for x by dividing both sides by 22,091,041,535:

x = 44,182,083,074 / 22,091,041,535

The exact solution for x is:

x = 2

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Answer:

You are 110 feet under the sea and then you rise 120 feet.  How many feet are you now above the sea lever?  10.

Step-by-step explanation:

Answer:

$480

Step-by-step explanation:

multiply the normal price $600 by 20 then divide it by one hundred

the discount is $120

the sales price is subracting the discount of $120 from the original price of $600 then get $480 as the sales price.

Answer:

Step-by-step explanation:

Method 1:  Subtract 20% from 100%, obtaining 80%, and then multiply the regular price ($600) by the decimal equivalent 0.80.  We get $480 as the sale price.

Method 2: Calculate the amount of the discount by multiplying $600 by 0.20, obtaining $120.  Then subtract this discount from the regular price, $600, obtaining $480.

Answer:

B. Property right are assigned to the party who is being

Word form One hundred three and five hundred three thouandth

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Answer:

D

Step-by-step explanation:

(d) all of the above. All of the statements listed are true about functions. A function is a set of points (x,y) such that every x-value has one y-value (for every input there is one output). This means that for each value of x, there is only one corresponding value of y. Functions can also be represented as an equation in terms of x and y, and when graphed, they pass the vertical line test, which means that if a vertical line is drawn on the graph and it intersects the graph in more than one point, the graph is not a function.

Answer: D

Step-by-step explanation:

If every X value has only 1 Y value then it will pass the vertical line test so that checks out both a and b

c- we can represent all functions in terms of x and y

If many random samples of this size were taken and intervals constructed, 90% of them would contain the true population mean. In repeated sampling, about 90% of the constructed confidence intervals will capture the true population mean difference. The correct answer is C.

When we construct a confidence interval, it is important to understand its interpretation. In this case, the correct answer (Oc) states that if we were to take many random samples of the same size and construct confidence intervals for each sample, approximately 90% of these intervals would contain the true population mean difference.

This interpretation is based on the concept of sampling variability. Due to random sampling, different samples from the same population will yield slightly different sample means.

The confidence interval accounts for this variability by providing a range of values within which we can reasonably expect the true population mean difference to fall a certain percentage of the time.

In the given scenario, when constructing a 90% confidence interval for the paired difference, it means that 90% of the intervals we construct from repeated samples will successfully capture the true population mean difference, while 10% of the intervals may not contain the true value.

It's important to note that this interpretation does not imply a probability or chance for an individual interval to capture the true population mean. Once the interval is constructed, it either does or does not contain the true value. The confidence level refers to the long-term behavior of the intervals when repeated sampling is considered.

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Answer:

acute isosceles

Step-by-step explanation:

both legs have an equal length, and angles are less than 90º

Answer:

$7 dollar per adult

$4 dollars per child

two adults and two children would cost $22

Step-by-step explanation:

Answer:

\(x = \frac{3 + 8y}{y - 1}\)

Step-by-step explanation:

\(y = \frac{x + 3 }{x - 8}\)

Cross multiply,

y(x - 8) = x +3

yx - 8y = x + 3

yx - 8y -x = 3

yx - x     = 3 + 8y

  (y - 1)x = 3 +8y

           \(x = \frac{3 + 8y}{y - 1}\)

Answer:

c.29

Step-by-step explanation:

Your equation is 3x+18+75=180

Then, you combine like numbers so 75+18 so your equation is now 3x+93=180

Next, you subtract the 93 and get 3x=87

Finally, divide 87 by 3 to get x=29!!

Hope this helps have a great day :)

Answer: y = x - 3

Step-by-step explanation:

Answer:

y = x+3

Step-by-step explanation:

First of all we have to find the equation of the line

Slope-intercept form is:

\(y=mx+b\)

Putting the value of slope

\(y=x+b\)

Putting the point in the equation

(-4,-1)

\(-2=-5+b\\b=-2+5\\b=3\)

So the equation is:

\(y=x+3\)

The graph is attached with the answer

Keywords: Equation of line, slope

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Answer: NO

Step-by-step explanation:

170/250 =0.68

340/400 = 0.85

Answer:

no

Step-by-step explanation:

They are not equal because if you double 170 it equals 340 but if you double 250 it equals 500. That's why 170/250 and 340/400 are not equal.

Answer: 37

Step-by-step explanation:

We have a line with an angle of 133°. We subtract 180 from it to get 47. then add 47 and 96 to get 143. Subtract 180 to get 37.

The true statements among the given options are written below

bc || ad

ba ≅ cd  

∠cba ≅ ∠bcd

In an isosceles trapezoid, there is one pair of legs of equal length and a pair of parallel lines.

Given that quadrilateral abcd is a isosceles trapezoid.

In the given trapezoid abcd

bc || ad ( pair of parallel sides )

So this is correct.

ba ≅ cd  ( For an isosceles trapezoid legs are equal)

So this is correct

∠cba ≅ ∠bcd (According to  the property of isosceles  trapezoid )

So this is correct.

Hence, bc || ad, ba ≅ cd, ∠cba ≅ ∠bcd are correct

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To find a value of c such that P(z ≥ c) = 0.55, we need to use a standard normal distribution table or calculator.From the standard normal distribution table, we find that the z-score corresponding to a right-tailed area of 0.55 is approximately 0.126.

Therefore, we have:

P(z ≥ c) = 0.55

P(z ≤ c) = 1 - P(z ≥ c) = 1 - 0.55 = 0.45

Using the standard normal distribution table, we find that the z-score corresponding to a left-tailed area of 0.45 is approximately -0.126.

So, c = -0.126.

Therefore, the value of c that satisfies P(z ≥ c) = 0.55 is approximately -0.126.

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The hole is at (-3, 3),So plot these points and connect them with a smooth curve.

What is graph ?

In mathematics, a graph is a visual representation of a set of data or mathematical relationships between variables. Graphs are used to illustrate the behavior and patterns of functions, equations, and data sets in a way that is easy to understand and interpret.

There are many types of graphs used in mathematics, each with its own set of rules and conventions. Some of the most common types of graphs include:

Line graph: a graph that uses lines to connect data points, often used to show changes in data over time.

Bar graph: a graph that uses bars of different heights to represent data, often used to compare data between different categories.

According to the question:
To simplify the rational function y = (2x-9)(x+3)/[(x+3)(x-2)], we can cancel out the common factor of (x+3) in both the numerator and denominator, giving:

y = (2x-9)/(x-2)

To graph this function, we can start by finding the vertical and horizontal asymptotes, intercepts, and any holes.

Vertical asymptote:

The denominator (x-2) becomes zero at x=2, so there is a vertical asymptote at x=2.

Horizontal asymptote:

To find the horizontal asymptote, we can use the fact that as x approaches infinity or negative infinity, the rational function approaches the ratio of the leading coefficients of the numerator and denominator. In this case, the leading term in the numerator is 2x, and the leading term in the denominator is x, so the horizontal asymptote is y=2/1=2.

x-intercept:

The numerator (2x-9) becomes zero when x=9/2, so there is an x-intercept at (9/2, 0).

y-intercept:

The function passes through the y-axis when x=0, so we can find the y-intercept by plugging in x=0:

y = (2(0)-9)/(0-2) = 9/2

So the y-intercept is (0, 9/2).

Hole:

We can notice that the factor (x+3) appears in both the numerator and denominator of the original function, so there is a hole in the graph at x=-3. To find the y-coordinate of the hole, we can cancel out the factor (x+3) and evaluate the function at x=-3:

y = (2(-3)-9)/(-3-2) = 3

So the hole is at (-3, 3).

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Answer:

8281

Step-by-step explanation:

Answer:

912673

thats just ez my guy but thank you for helping me complete my challenge

The measurement closest to the volume of the bowling ball is 5277 cubic centimeters.

The length of a straight line drawn through the center of a body or figure, most notably a circle or sphere, is the diameter of a circle or sphere.

The radius of the sphere is half of the diameter, so it is 10.8 centimeters.

The formula for the volume of a sphere is V = (4/3)πr³, where r is the radius.

Substituting the value of r, we get:

V = (4/3)π(10.8)³

V ≈ 5276.66928645 cubic centimeters

Rounded to the nearest cubic centimeter, 5277 cubic centimeters is the measurement that most closely resembles the bowling ball's volume.

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According to the question Joe's hypothesis can be stated as follows H0: μ ≤ 568 (Null hypothesis) , H1: μ > 568 (Alternative hypothesis)

Joe's hypothesis can be stated as follows H0: The population mean (μ) of the elite school students is less than or equal to 568. H1: The population mean (μ) of the elite school students is greater than 568.To test this hypothesis, Joe would typically collect a sample from the elite school students and calculate the sample mean.

He can then compare this sample mean to the hypothesized population mean of 568. If the sample mean is significantly higher than 568, Joe would have evidence to support his hypothesis that the elite school students score higher than the general population.

To make a conclusive decision, Joe would perform a statistical test, such as a t-test or z-test, and calculate the p-value associated with the observed sample mean. If the p-value is below a predetermined significance level (e.g., 0.05), Joe can reject the null hypothesis and conclude that the elite school students score higher than the general population.

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The area of the composite figure is 234 square inches

To solve the rectangle;

The area of the rectangle would be:

12 x 14 = 168

Rectangle Area: 168

The area of that trapezium would be;

= 1/2 (12 + 10) 6

= 3(22)

= 66

Finally, add all the areas up,

66 + 168 = 234

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To calculate the cash balance at the end of the period, we need to consider the cash inflows and outflows.

Starting cash balance: $4,520

Cash inflows: $1,654 (receivables collected)

Cash outflows: $1,961 (payments to suppliers) + $500 (cash expenses)

Total cash inflows: $1,654

Total cash outflows: $1,961 + $500 = $2,461

To calculate the cash balance at the end of the period, we subtract the total cash outflows from the starting cash balance and add the total cash inflows:

Cash balance at the end of the period = Starting cash balance + Total cash inflows - Total cash outflows

Cash balance at the end of the period = $4,520 + $1,654 - $2,461

Cash balance at the end of the period = $4,520 - $807

Cash balance at the end of the period = $3,713

Therefore, the cash balance at the end of the period is $3,713.

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The integration of the given function is xcos3(x/3) - (1/3)sin3(x/3) + C.

We need to use integration by parts in order to solve this problem. That means we must first identify our function which in this case would be u = cos3(x/3) and let dv = dx. To find u' we need to take the derivative of the our u with respect to x. so,

u' = (-1/3)×sin3(x/3) and v = x.

The integration by parts formula states that

∫udv = uv -∫vdu

So,

∫cos³(x/3)dx = (cos3(x/3))x - 3∫(1/3)×sin3(x/3)dx

Now, if we let u = sin3(x/3) and let dv = dx, then

u' = (1/3)×cos3(x/3xdx)  and v = x.

When we apply the integration by parts formula we get

3∫(1/3)×sin3(x/3)dx = (1/3)×sin3(x/3))x - ∫(cos3(x/3))dx

Using the two parts of the integration by parts formula, you can get the answer as

∫cos³(x/3)dx = (cos3(x/3))x - (1/3)×sin3(x/3))x + ∫(cos3(x/3))dx

= xcos3(x/3) - (1/3)sin3(x/3) + C

Therefore, the integration of the given function is xcos3(x/3) - (1/3)sin3(x/3) + C.

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Answer:

1050 feet

Step-by-step explanation:

We know

A cheetah runs 420 feet in 6 seconds

Find how many feet the cheetah runs in 1 second by taking

420 / 6 = 70 feet

How many feet could a cheetah run in 15 seconds?

70 x 15 = 1050 feet

So, the cheetah could run 1050 feet in 15 seconds.

Step-by-step explanation:

x + 2x + 7x

72 = 9x

72 - 9 = x

63 = x

63 ÷ 3 = 21

piece 1 = 21

piece 2 =21+2 = 23

piece 3 =21+7 = 28

21+23+28 = 72 This proves the above is correct.

Given:

Leo had $91, which is 7 times as much money as Alison had.

Let x represents Alison's money.

So, the expression for Leo's money is,

Divide both sides of the above equation by 7.

So, Alison had $13.

Therefore, the correct solution method is

A) 7x = 91. Divide both sides by 7. Alison had $13.

Answer:

They are parallel

Step-by-step explanation:

Find slope of point A

(-3,4), (1,2)

2-4=-2 1-(-3)=4

slope of a= -2/4 or -1/2

Find slope of point B

(6,2), (8,1)

1-2=-1, 8-6=2

slope of b= -1/2

Both have different slopes, and it can't be perpendicular because they have different denominator values.

Answer:

Step-by-step explanation:

(-3,4) (1,2)

difference is (y2 - y1) /( x2 - x1)

-2 / -4

-1/2 is the slope

(6,2) (8,1)

same as the last

-1 / 2

these lines have the same slope so they are parallel, if their slopes were reciprocals (-1/2 and 2) they would be perpendicular.

Answer:

Factored expression:  -15 (2x + 1)