What is -15 ÷ 3/5. PLEASE HELP.
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Answer:

The value of x in this equation is 3/2.

Step-by-step explanation:

First, let's take the original equation:

2 + 5x - 2x = 6x + 3x - 7

In order to solve for x, we must isolate the variable x on one side of the equation, and the rest of the numbers on the other side of the equation. So we take: 2 + 5x - 2x = 6x + 3x - 7 and use some of the properties of equality:

We start with 2 + 5x - 2x = 6x + 3x - 7 and see that we can minus 2 on both sides of the equation as highlighted below:

2 + 5x - 2x = 6x + 3x - 7

2 + 5x - 2x - 2 = 6x + 3x - 7 - 2

This simplifies the equation to 5x - 2x = 6x + 3x - 9.

Remember, we can arrange the equation like this along as we do on one side what we do on the other. Now, we have 5x - 2x = 6x + 3x - 9, and see that the rest of 6x and 3x needs to go on the left side of the equation. In order to do this, we can minus 6x from both sides of the equation as shown below:

5x - 2x = 6x + 3x - 9

5x - 2x - 6x = 6x + 3x - 9 - 6x

which then simplifies to 5x - 2x - 6x = 3x - 9. Now we can do the same thing by minus 3x from both sides of the equation.

5x - 2x - 6x = 3x - 9

5x - 2x - 6x - 3x = 3x - 9 - 3x

5x - 2x - 6x - 3x = -9

Now, we must simplify the left side of this equation by adding together the variable numbers 5x - 2x - 6x - 3x. This is shown below:

5x - 2x - 6x - 3x = -9

3x - 6x - 3x = -9

-6x = -9

Lastly, we can divide the number -9 by -6 to get the answer of what 1 x equals. This means -9/-6 = 3/2.

X is indeed equal to 3/2

The rectangle with the maximum area is formed by taking the two corners on the x-axis and the other two corners on the y = f(x) = 9 - x² curve.

To find the rectangle with the maximum area, we need to consider the relationship between the rectangle's area and its dimensions. Let's assume the rectangle's width is 2x (distance between the x-axis corners) and its height is 2y (distance between the y = f(x) curve corners).

The area of the rectangle is given by A = (2x)(2y) = 4xy. We want to maximize this area.

Since the two corners on the x-axis have coordinates (x, 0) and (-x, 0), and the other two corners on the y = f(x) curve have coordinates (x, f(x)) and (-x, f(-x)), we can express the area as A = 4x(9 - x²).

To find the maximum area, we can differentiate A with respect to x and set the derivative equal to zero:

dA/dx = 4(9 - x²) - 4x(2x) = 36 - 4x² - 8x² = 36 - 12x².

Setting dA/dx = 0, we solve for x:

36 - 12x² = 0,

12x² = 36,

x² = 3,

x = ±√3.

Since x represents the width of the rectangle, we take the positive value, x = √3.

Therefore, the rectangle with the maximum area has a width of 2√3 and a height determined by the y = f(x) = 9 - x² curve.

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Answer: y = 20.48

Step-by-step explanation:

To get rid of the denominator under the y you must multiply the entire equation by 4.

y = 20.48

That's all :)

Answer:

20.48 :)

Step-by-step explanation:

To find y you need to do 5.12 multiplies by 4 which is 20.48. Hope this helps <3

Answer: 118 degrees

Step-by-step explanation:

By the exterior angle theorem.

3x + 12 + 2x + 16 = 6x + 10

5x + 28 = 6x + 10

x = 18

So measure of angle 3 = 6(18) + 10 = 118 degrees

Answer:

D) 20.5.

Step-by-step explanation:

To find the angle of rotation, we can use the formula:

Angle of rotation = Arc length / Radius

First, we need to calculate the radius of the ferris wheel. The diameter is given as 224 feet, so the radius is half of that:

Radius = 224 feet / 2 = 112 feet

Now, we can calculate the angle of rotation:

Angle of rotation = 40 feet / 112 feet

Angle of rotation ≈ 0.3571 radians

To convert this to degrees, we multiply by 180/π:

Angle of rotation ≈ 0.3571 * (180/π) ≈ 20.4646 degrees

Rounding to the nearest tenth of a degree, the angle of rotation is approximately 20.5 degrees.

Therefore, the correct answer is option D) 20.5.

The typical method of solving this question... (School method)

The required value of the a, b, and c is 1, 18, and -3 respectively,

Given that,
The equation y=ax2+bx+c goes through the coordinates (-6, 15), (0, -3), and (2, 7). What are the values of a, b, and c is to be determined.

Functions are the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.

Here,
In the given expression put x = 0 and y = -3 as ordered pair (0, -3).
-3 = 0 + 0 + c
c = -3
Similarly,
Put other ordered pair in the given equation and c from above to evaluate a and b as 1 and 18 respectively.

Thus, the required value of the a, b, and c is 1, 18, and -3 respectively,

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Answer:

Below

Step-by-step explanation:

You didn't include the picture......

each cube has a volume of  1/4 * 1/4 * 1/4 = 1/64 cm^3

     count the total number of cubes and multiply by  1/64

                                         to get volume in cm^3

Answer:

Exponent

Step-by-step explanation:

^ means raised to the power of

The number being raised is known as the exponent

In this case it's the exponent is 4

Answer:

90°

Step-by-step explanation:

when u rotate it up to 90° I think it will look the same

Answer:

3

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

Add all the numbers together, to get 31. Then add 9. That leaves you with 40. Divide that by 5, or the number of terms. You get 8.

Hope that this helps!

The probability that exactly 5 insects will survive is approximately 0.0881 or 8.81% (rounded to the nearest ten-thousandth).

The given situation can be modeled as a binomial distribution, where the probability of success (i.e., an insect surviving the insecticide exposure) is 0.4 (since the insecticide kills 60% of insects, the probability of survival is 40%), and the number of trials is 9 (since we are exposing 9 insects to the insecticide).

Using the binomial probability formula, we can calculate the probability of exactly 5 insects surviving as:

P(X = 5) = (9 choose 5) * (0.4)^5 * (0.6)^4

= 0.0881 (rounded to four decimal places)

Therefore, the probability that exactly 5 insects will survive is approximately 0.0881 or 8.81% (rounded to the nearest ten-thousandth).

In summary, the probability of exactly 5 insects surviving out of a sample of 9 insects exposed to an insecticide that kills 60% of insects can be calculated using the binomial probability formula.

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Answer:

yeahhh

Step-by-step explanation:

C=5+2t represents of the total Cost of attending the carnival: you pay admission fee of $5 and then $2 for ticket to play games

To find inverse function of C(t), solve the equation for "t" (in inverse function, function and argument are swapped):

         t =(C - 5)/2

         The inverse function represent the number of games played by someone at the carnival.

         LaTeX: t=\frac{C-2}{5} is not the inverse function of C(t). The inverse function was found in 2.

Answer:

I would say yes if Im wrong im deeply sorry

Step-by-step explanation:

If the data has a mound-shaped distribution, then percentage of dentists who use less than 102 units of local anesthetics per week is  84%   .

The Distribution is mound shaped and symmetric

we have to find percentage of dentists use less than 102 units of local anesthetics per week ;

Since the distribution is mount shaped , 68% of the data values are within 1 standard deviations of the mean (by the empirical rule) and 32% of data values are more than 1 standard deviations (23) from mean (79) .

Since , Distributions is symmetric, we expect about 16% of the data values to be more than 1 standard deviations below the mean, and about 16% of data values to be more than 1 standard deviations above mean.

So , 68% + 16% = 84% of the data values is expected to be less than 102.

Therefore , 84% of dentists use less than 102 units of local anesthetics per week .

The given question is incomplete , the complete question is

A study published in Current Allergy & Clinical Immunology (Mar. 2004) investigated allergic reactions of dental patients to local anesthetics. Based on a survey of dental practitioners, the study reported that the mean number of units (ampoules) of local anesthetics used per week by dentists was 79, with a standard deviation of 23. Suppose we want to determine the percentage of dentists who use less than 102 units of local anesthetics per week.

Assuming that the data has a mound-shaped distribution, what percentage of dentists use less than 102 units of local anesthetics per week ?

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The answer is C. 1/3, and there is a 1/3 chance that the number chosen by the student will be a prime number.

To find the probability that the number chosen by the student will be a prime number, we first need to determine how many prime numbers are in the range from 4 to 24. The prime numbers in this range are 5, 7, 11, 13, 17, 19, and 23. There are 7 prime numbers in total.

Next, we need to determine the total number of possible outcomes, which is the number of slips of paper in the hat. There are 21 slips of paper in the hat, since there are 21 numbers from 4 to 24 inclusive.

Therefore, the probability of selecting a prime number is the number of favorable outcomes (7) divided by the total number of possible outcomes (21):

P(prime number) = 7/21

Simplifying this fraction, we get:

P(prime number) = 1/3

Therefore, the answer is C. 1/3, and there is a 1/3 chance that the number chosen by the student will be a prime number.

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Therefore, the compound interest of the annuity due of BD 400 paid each 4 months for 6.2 years at a nominal rate of 3% per annum is BD 40,652.17.

Compound interest of an annuity due can be calculated using the formula:A = R * [(1 + i)ⁿ - 1] / i * (1 + i)

whereA = future value of the annuity dueR = regular paymenti = interest raten = number of payments First, we need to calculate the effective rate of interest per period since the nominal rate is given per annum. The effective rate of interest per period is calculated as

:(1 + i/n)^n - 1 = 3/1003/100 = (1 + i/4)^4 - 1

(1 + i/4)^4 = 1.0075i/4 = (1.0075)^(1/4) - 1i = 0.0303So,

the effective rate of interest per 4 months is 3.03%.Next, we can substitute the given values in the formula:

A = BD 400 * [(1 + 0.0303)^(6.2 * 3) - 1] / 0.0303 * (1 + 0.0303)A = BD 400 * [4.227 - 1] / 0.0303 * 1.0303A = BD 400 * 101.63A = BD 40,652.17

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When calculating car payments with trade-in negative equity, it's important to consider the total amount owed on your current car loan. Negative equity occurs when the value of your trade-in vehicle is less than the remaining loan balance.

To incorporate this into your car payment calculation, subtract the negative equity amount from the trade-in value, and add it to the purchase price of the new car. The resulting total will be the amount financed. You can then use an online car payment calculator, considering factors like interest rate, loan term, and down payment, to determine your monthly payments.

By using a car payment calculator that accounts for trade-in negative equity, you can obtain a more accurate estimate of your monthly payments. This allows you to make an informed decision regarding your budget and financing options. Remember to consider all aspects of the transaction, including trade-in value, remaining loan balance, purchase price, and loan terms, to get a comprehensive understanding of your car payment obligations.

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To calculate a car payment with trade-in negative equity, you'll need a few pieces of information. Here's what you need:

Loan amount: The total amount you need to borrow for the new car (including the negative equity from your trade-in).

Loan term: The length of the loan in months.

Interest rate: The annual interest rate on the loan.

Trade-in value: The appraised value of your trade-in vehicle.

Negative equity: The amount you owe on your trade-in vehicle that is more than its appraised value.

Answer:

D. 20 yds

Step-by-step explanation:

✔️First, find the distance across across the pond on the drawing using Pythagorean Theorem:

Distance across = √(6² + 8²) = √100

Distance across on drawing = 10 in.

✔️Next, find the actual distance using the scale of 1 inch : 2 yards:

The scale implies that,

1 inch represents 2 yards

Therefore:

10 inches will represent = 10 × 2 = 20 yards

Answer:

the slope and m is 2 and the y intercept is 4

Step-by-step explanation:

Remember y=mx+b

Answer:

4 yards saved

Step-by-step explanation:

two adjacent sides: 6 + 8 = 14

diagonal: √(6² + 8²) = √100 = 10

14 - 10 = 4

The explicit formula for the sequence is \(a_n\) = 175, where n represents the position of the term in the sequence.

To find an explicit formula for the given sequence, we need to observe the pattern and determine how each term relates to its position in the sequence.

Notice that each term is obtained by dividing the previous term by 5. We can represent this pattern mathematically as:

\(a_n\) = \(\frac{a_{n-1} }{ 5}\)

where\(a_n\)represents the \(n^{\text{th}}\) term and \(a_{n-1}\) represents the \((n-1)^{\text{th}}\) term.

We can start with the first term, \(a_1\) = 175, and use the recursive formula to generate subsequent terms:

\(a_2 = \frac{a_1 }{ 5} = \frac{175}{ 5}\) = 35

\(a_3 = \frac{a_2 }{ 5 }= \frac{35 }{ 5}\) = 7

...

To find the explicit formula, we can rewrite the recursive formula in a general form:

\(a_n = \frac{a_{n-1} }{ 5}\)

To eliminate the recurrence, we can solve for a_{n-1} in terms of a_n:

\(a_{n-1} = a_n * 5\)

Substituting this expression back into the formula, we get:

\(a_n = \frac{(a_n-1 * 5) }{ 5}\)

To simplify, we have:

\(a_n = a_n-1\)

Since \(a_1 = 175\)we can see that each term is equal to the previous term. Therefore, the explicit formula for the sequence is:

\(a_n = 175\)

This means that every term in the sequence is equal to 175, regardless of the value of n.

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Answer:

i think its 6

Step-by-step explanation:

You have to divide 5 to 5/6 which equals 6

Answer:

6

Step-by-step explanation:

In order to restore general equilibrium, price adjustments are undertaken. In the short run, prices increase, and when expectations rise above actual inflation, prices continue to climb until they do. answer is option (d). price level.

The term "aggregate demand" in macroeconomics refers to the overall demand for locally produced commodities, including capital goods, consumer products, and services. Aggregate demand is calculated as the total of spending by consumers, corporate and governmental investment spending, and net imports and exports.

The overall demand of final products and services in an economy at any particular time is known as aggregate demand, often referred to as domestic final demand. Effective demand is a frequent word for it, however occasionally this phrase is used to distinguish between two things. This is the demand for a nation's gross domestic product.

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The null hypothesis is formulated as a statement of equality to represent the assumption of no effect, no difference, or no relationship between variables in hypothesis testing.

The null hypothesis is typically formulated as a statement of equality because it represents the assumption or claim of no effect, no difference, or no relationship between variables in the context of statistical hypothesis testing.

When conducting hypothesis tests, we start with the assumption that there is no significant difference or relationship between variables, and any observed differences or relationships are merely due to random chance or sampling variability. The null hypothesis serves as a benchmark or reference point against which we compare the observed data.

Formulating the null hypothesis as a statement of equality allows for a clear and specific claim to be tested statistically. It sets the baseline or default position that is assumed to be true unless there is sufficient evidence to reject it in favor of an alternative hypothesis.

For example, in a study comparing the mean scores of two groups, the null hypothesis might state that the population means are equal (μ1 = μ2). This implies that any observed difference in sample means is due to chance, rather than a true difference in the population means.

By specifying the null hypothesis as a statement of equality, statistical tests provide a framework to assess the likelihood of observing the obtained data under the assumption of no effect or no difference, allowing us to make inference and draw conclusions about the population parameters based on the evidence from the sample.

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Answer:

6 feet by 5 feet by 4 feet

7 feet by 6 feet by 4 feet

8 feet by 3 feet by 7 feet

Step-by-step explanation:

E D G E N U I T Y

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The present value (P) that needs to be invested to achieve a future value (A) of $5000.00 at a simple interest rate (R) of 14.0% after a time period (T) of 13 weeks is approximately $1773.05 (rounded to the nearest cent).

To calculate the present value, we use the formula P = A / (1 + R * T), where A is the future value, R is the interest rate, and T is the time period. Plugging in the given values, we get P = 5000 / (1 + 0.14 * 13). After evaluating this expression, the result is approximately $1773.05.

Therefore, in order to have a future value of $5000.00 with a simple interest rate of 14.0% after 13 weeks, one would need to invest approximately $1773.05.

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The ratio of dividends to the average number of common shares outstanding is known as the dividend yield. It is a measure of the return on an investment in the form of dividends received relative to the number of shares held.

To calculate the dividend yield, you need to divide the annual dividends per share by the average number of common shares outstanding during a specific period. The annual dividends per share can be obtained by dividing the total dividends paid by the number of outstanding shares. The average number of common shares outstanding can be calculated by adding the beginning and ending shares outstanding and dividing by 2.

For example, let's say a company paid total dividends of $10,000 and had 1,000 common shares outstanding at the beginning of the year and 1,500 shares at the end. The average number of common shares outstanding would be (1,000 + 1,500) / 2 = 1,250. If the annual dividends per share is $2, the dividend yield would be $2 / 1,250 = 0.0016 or 0.16%.

In summary, the ratio of dividends to the average number of common shares outstanding is the dividend yield, which measures the return on an investment in terms of dividends received per share held.

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Answer:

8 weeks

Step-by-step explanation:

The equation to find how much money she would have after each week is 40x where x is the amount of weeks. When she goes 8 weeks she will finally cross $300 by having $320.