what is c+4(a+b)-15


c=4 a=5 b=3

Answer: 51 inches

Step-by-step explanation:

1st find out how many inches in 1 foot

There are 12 inches in a foot so then you would multiply

12x4 =48

Then add the other 3 inches

The measure of ∠BAC i.e value of x is approximately 57.99 degrees or 60° in round off.

Trigonometry is a branch of mathematics that deals with the relationships between the sides and angles of triangles, and is often used to solve problems in geometry, engineering, physics, and other fields.

We can use trigonometry to find the measure of angle BAC.

Using the Pythagorean theorem, we know that:

AB² = AC² - BC²

AB² = 33² - 26²

AB² = 625

AB = 25

Now, we can use the trigonometric ratio of sine to find the measure of angle BAC:

sin(BAC) = opposite/hypotenuse

sin(BAC) = BC/AB

sin(BAC) = 26/25

Using a calculator or a table of trigonometric values, we can find that the arcsine of 26/25 is approximately 57.99 degrees.

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Answer:

A length=24ft, width=15ft

Step-by-step explanation:

the side AB have x values of 5 and the side with CD have x values of 10 so the width from b to d or a to c is 5 so the width of the drawing is 5cm

the bottom side AC has y values of 8 and the top side BD has y values of 16 so they are 8 apart so the length of the rectangular drawing is 8cm

then the scale says that 1 cm = 3 ft so multiply the length and width each by 3 to get the answer that the length of the sail is 24ft and the width is 15ft

Hope this helps! :)

The solution to the equation \((\sum\limits^{\infty}_{i=1} \frac{1}{2^i}) + (\sum\limits^{\infty}_{i=1} \frac{9}{10^i}) + \sin^2(\theta) + \cos^2(\theta) + e^2\) is 10.3891

From the question, we have the following parameters that can be used in our computation:

\((\sum\limits^{\infty}_{i=1} \frac{1}{2^i}) + (\sum\limits^{\infty}_{i=1} \frac{9}{10^i}) + \sin^2(\theta) + \cos^2(\theta) + e^2\)

Using the following trigonometry ratio

sin²(x) + cos²(x) = 1

We have

\((\sum\limits^{\infty}_{i=1} \frac{1}{2^i}) + (\sum\limits^{\infty}_{i=1} \frac{9}{10^i}) + \sin^2(\theta) + \cos^2(\theta) + e^2 = (\sum\limits^{\infty}_{i=1} \frac{1}{2^i}) + (\sum\limits^{\infty}_{i=1} \frac{9}{10^i}) + 1 + e^2\)

The sum to infinity of a geometric series is

S = a/(1 - r)

So, we have

\((\sum\limits^{\infty}_{i=1} \frac{1}{2^i}) + (\sum\limits^{\infty}_{i=1} \frac{9}{10^i}) + \sin^2(\theta) + \cos^2(\theta) + e^2 = \frac{1/2}{1 - 1/2} + \frac{9/10}{1 - 1/10} + 1 + e^2\)

So, we have

\((\sum\limits^{\infty}_{i=1} \frac{1}{2^i}) + (\sum\limits^{\infty}_{i=1} \frac{9}{10^i}) + \sin^2(\theta) + \cos^2(\theta) + e^2 = 1 + 1 + 1 + e^2\)

Evaluate the sum

\((\sum\limits^{\infty}_{i=1} \frac{1}{2^i}) + (\sum\limits^{\infty}_{i=1} \frac{9}{10^i}) + \sin^2(\theta) + \cos^2(\theta) + e^2 = 3 + e^2\)

This gives

\((\sum\limits^{\infty}_{i=1} \frac{1}{2^i}) + (\sum\limits^{\infty}_{i=1} \frac{9}{10^i}) + \sin^2(\theta) + \cos^2(\theta) + e^2 = 10.3891\)

Hence, the solution to the equation is 10.3891

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Answer:

The algebraic expression for the scenario is 15 + x = 60

From the question, we have the following parameters that can be used in our computation:

Amount saved up = $15

Cost of item = $60

Amount gifted by your grandma = x

The above parameters means that the mathematical statement is an equation statement

So, we have the following representation

Amount saved up + Amount gifted by your grandma = Cost of item

Substitute the known values in the above equation, so, we have the following representation

15 + x = 60

Hence, the algebraic expression is 15 + x = 60

The question does not require that the equation be solved

However, when it is solved, we have:

15 + x = 60

Subtract 15 from both sides

x = 45

So, the amount is 45

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The candy store will use 103 grams of sugar in 10 hours.

To find out how many grams of sugar the store will use in 10 hours, we can simply multiply the amount of sugar used in one hour (10.3 grams) by the number of hours (10).

To solve the problem, we use a simple multiplication formula: the amount used per hour (10.3 grams) multiplied by the number of hours (10) to find the total amount of sugar used in 10 hours.

We can interpret this problem using a rate equation: the rate of sugar usage is 10.3 grams/hour, and the time period is 10 hours. Multiplying the rate by the time gives the total amount of sugar used.

So the calculation would be:

10.3 grams/hour x 10 hours = 103 grams

Therefore, the candy store will use 103 grams of sugar in 10 hours.

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The required, in 2007 the price per gallon was 7b more than the price of a gallon of fuel in the year 2000. Where b is the inflation factor.

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
Let 'a' be the cost per gallon of fuel in the year 2000, and 'b' be the inflation rate per year. If the rate of inflation is constant then
After 7 year inflation = 7b
Cost of fuel in 2007 = a + 7b

Now,
according to the question
Change in cost of fuel
= cost in 2007 - cost in 2000
= a + 7b - a
= 7b

Thus, the required, in 2007 the price per gallon was 7b more than the price of a gallon of fuel in the year 2000. Where b is the inflation factor.

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The 90% confidence interval for the mean OSU students’ IQ exam scores is:

105 ± 4.42 or (100.58, 109.42) and we have given the justified relevant confidence interval.

What is the confidence interval?

The confidence interval is a statistical range that estimates the unknown true value of a population parameter, such as the mean or the proportion, based on a sample of data. It gives us a range of values in which we are confident that the true population parameter lies with a certain level of certainty or confidence.

In the given example, we want to estimate the mean IQ exam score for all OSU students based on a random sample of 44 students. We know the population standard deviation, which is σ = 15 points. To find a 90% confidence interval for the mean OSU students’ IQ exam score, we can use the following formula:

Confidence interval = sample mean ± margin of error

The margin of error is calculated as follows:

Margin of error = z* (σ/√n)

where z* is the critical value of the standard normal distribution for a 90% confidence level, which can be found using a table or calculator. For a two-tailed test, the critical value is ±1.645.

n is the sample size, which is 44 in this case.

Plugging in the values, we get:

Margin of error = 1.645 * (15/√44) ≈ 4.42

The sample mean is 105 points.

Therefore, the 90% confidence interval for the mean OSU students’ IQ exam score is:

105 ± 4.42 or (100.58, 109.42)

We can justify the relevant confidence interval conditions as follows:

Random sampling: The sample is chosen randomly, which ensures that it is representative of the population.

Independence: The sample observations are independent of each other, which means that the results are not influenced by any external factors.

Normality: The sample size is sufficiently large (n > 30), so we can assume that the sampling distribution of the sample mean is approximately normal.

Population standard deviation is known: We are given that the population standard deviation is σ = 15 points, which allows us to use the normal distribution to find the confidence interval.

Hence, The 90% confidence interval for the mean OSU students’ IQ exam scores is:

105 ± 4.42 or (100.58, 109.42) and we have given the justified relevant confidence interval.

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Answer:

f(x)=2x-1

(the first option)

Step-by-step explanation:

Linear functions always take the form f(x)=mx+c, where m is the slope and c is the y-intercept.

The y-intercept is the value of y when x is 0, and we can see from the table that when x=0, y=-1. So our value for c is -1.

The slope can be found using the formula \(\frac{y2-y1}{x2-x1}\), where (x1,y1) and (x2,y2) represent two points that satisy the funciton. Let's talk the first two sets of values for the table to use in this formula -  (-5,-11) for (x1,y1) and (0,-1) for (x2,y2) :

m=  \(\frac{y2-y1}{x2-x1}\) = \(\frac{-1-(-11)}{0-(-5)}\)=\(\frac{-1+11}{0+5}\)=\(\frac{10}{5}\)=2

So now we know m=2 and c=-1. Subbing this into f(x)=mx+c and we get:

f(x)=2x-1

Answer:

f(x)=2x-1

Step-by-step explanation:

for each inout of x, if you multiply it by 2 and subtract 1, you get y. :)

The variance for this sample of 5 scores with the sum of squared errors (deviations)  20 is 5.

Variance is a measure of the spread of the data around the mean. It can be calculated from the sum of squared deviations (SSE) as follows:

Variance = SSE / (n - 1)

where n is the number of scores in the sample.

In this case, n = 5 and SSE = 20, so the variance is:

Variance = 20 / (5 - 1) = 20 / 4 = 5

So the variance for this sample is "5".

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A pile of 6 boards is 2 timed the volume of a pile of 3 boards with the given dimensions. Option D is the correct answer.

The dimension of an item in mathematics is, approximately speaking, the quantity of degrees of freedom of a moving point on the object. To put it another way, a dimension is indeed the amount of distinct factors or coordinates required to define the location of a point that must be on an object. For instance, a point has a dimension of zero; a line has a size of one since a point can only move along a line in one direction (or its opposite); a plane has a dimension of two; etc.

The volume of the wooden board is given by the formula:

V = (l)(b)(h)

V = (2)(6)(14)

V = 168 cubic inches.

The volume of pile of 3 boards has dimensions:

l = 14

b = 6

h = 3(2)

V = 3(168) = 504 cubic inches.

Similarly, piling the boards and changing the height.

The volume of pile of four boards = 4(168).

The volume of pile of 5 boards = 5(168)

The volume of pile of 6 boards = 6(168) = 2(3(168))  = 2(Volume of pile of 3 boards)

Hence, a pile of 6 boards is 2 timed the volume of a pile of 3 boards with the given dimensions.

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Answer:

80696,tons

Step-by-step explanation:

let's assume 115280 tons is 100%

100% ‐ 30% = 70%

100% —> 115280tons

70% —> 115280tons ÷ 100 × 70

= 80695.999999997

= 80696 (round to nearest whole number)

Answer:

y = 5x - 40

Step-by-step explanation:

The function rule can be written in slope-intercept form, y = mx + b.

Let's find slope (m) and y-intercept (b) of the function, using the values given in the table.

✔️Slope (m) = change in y / change in x

Using two pair of values from the table, (10, 10) and (12, 20),

Slope (m) = (20 - 10) / (12 - 10) = 10/2 = 5

Slope (m) = 5

✔️ y-intercept (b):

Substitute (x, y) = (10, 10) and m = 5 into y = mx + b.

Thus:

10 = 5(10) + b

10 = 50 + b

10 - 50 = b

b = -40

✔️Write the function by substituting m = 5 and b = -40 into y = mx + b

Thus:

y = 5x + (-40)

y = 5x - 40

The startup company will have 100 employees by day 15, with 20 employees hired in the first 5 days and 80 employees hired in the subsequent 10 days with a doubled hiring rate.



Let's break down the problem into two parts: the first five days and the subsequent days after that.For the first five days, the company hires 4 new people each day, resulting in a total of 4 employees hired per day for 5 days. Therefore, the total number of employees after the first five days is 5 days * 4 employees/day = 20 employees.After the fifth day, the hiring rate doubles. This means that for each subsequent day, the company will hire 2 * 4 = 8 new employees.

To calculate the number of employees on the 15th day, we need to consider the number of days with the regular hiring rate and the number of days with the doubled hiring rate.

Days with regular hiring rate: 5 days

Employees hired during regular rate days: 5 days * 4 employees/day = 20

employees.

Days with doubled hiring rate: 15 - 5 = 10 days

Employees hired during doubled rate days: 10 days * 8 employees/day = 80 employees

Total employees on the 15th day: 20 employees (from regular rate) + 80 employees (from doubled rate) = 100 employees.

Therefore, by day 15, the company will have 100 employees.

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a) Elaine has a greater angular velocity than Tori, Elaine has the greater angular velocity.

b) Tori has a greater centripetal acceleration than Elaine, Tori is experiencing greater centripetal acceleration.

c) Both Elaine and Tori would experience the same centripetal acceleration during their cool-down run, regardless of their angular velocities

a. Angular velocity is defined as the rate of change of angular displacement. It is given by the formula:

ω = v / r

where ω is the angular velocity, v is the tangential velocity, and r is the radius of the curve.

For Elaine: ω = 4.2 m/s / 17.3 m = 0.242 rad/s

For Tori: ω = 4.6 m/s / 34.6 m = 0.133 rad/s

Since Elaine has a greater angular velocity than Tori, Elaine has the greater angular velocity.

b. Centripetal acceleration is the acceleration directed towards the center of the circular path. It is given by the formula:

a = ω^2 * r

where a is the centripetal acceleration, ω is the angular velocity, and r is the radius of the curve.

For Elaine: a = (0.242 rad/s)^2 * 17.3 m = 0.099 m/s^2

For Tori: a = (0.133 rad/s)^2 * 34.6 m = 0.622 m/s^2

Since Tori has a greater centripetal acceleration than Elaine, Tori is experiencing greater centripetal acceleration.

c. The centripetal acceleration remains the same regardless of the angular velocity. It only depends on the radius of the curve. Therefore, both Elaine and Tori would experience the same centripetal acceleration during their cool-down run, regardless of their angular velocities.

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Answer:

I think is B.

Step-by-step explanation:

hope its help

Answer:

Option B

Step-by-step explanation:

Answer:

50/3 π

Step-by-step explanation:

Answer:

x= -1, 3

Step-by-step explanation:

the x-intercept is when y = 0

Answer:

18 miles per gallon

90/5=18

Step-by-step explanation:

Answer:

18 miles per gallon of gas

Step-by-step explanation:

because \(18*5=90\)

Answer:

D at 8.8

im not sure brainliest please ok

Answer:

The answer is C at 8.1.

Step-by-step explanation:

To find \(\sqrt{66}\), start by finding the two consecutive perfect squares that 66 lies between them. The two perfect squares are 64 (\(8^{2}\)) and 81 (\(9^{2}\)). So, the whole number part of the square root of 66 will be 8.

Now, for the decimal part, use the following formula:

(Given number - Smaller perfect square) / (Greater perfect square - Smaller perfect square)

Then, put in the known information, which will look like:

(66 - 64)/(81 - 64) = 2/17 = 0.117

Finally, \(\sqrt{66}\) is 8.117, so the answer is C at 8.1.

If speed is important and the array is large, the a. Binary search algorithm should be used. This algorithm is designed to efficiently search through sorted arrays by repeatedly dividing the search interval in half.

It has a time complexity of O(log n), which means that as the size of the array increases, the time it takes to search for an item will not increase at the same rate.
On the other hand, ascending bubble sort and other sorting algorithms such as selection sort and insertion sort have a time complexity of O(n^2), which means that as the size of the array increases, the time it takes to sort the array will increase exponentially. Therefore, these algorithms are not efficient for large arrays and should not be used if speed is important.
In summary, when dealing with large arrays and speed is important, binary search is the best algorithm to use for searching, while ascending bubble sort and other sorting algorithms with a time complexity of O(n^2) should be avoided.

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Answer: 400 miles

Step-by-step explanation: every hour, his distance decreases by 50 miles. After 4 hours, his distance is 200 miles, so 50 miles times 4 hours = 200 miles+the original 200 miles =400 miles.

To prove that every prime > 3 is of the form 6m + 1 or 6m + 5, note that any prime > 3 must be of the form 6k + 1, 6k + 2, 6k + 3, 6k + 4, 6k + 5, or 6k + 6. Since 2 and 3 are the only primes that are of the form 6k + 2 or 6k + 3, respectively, every prime > 3 must be of the form 6m + 1 or 6m + 5.

To prove that N is of the form 6n+1 if every prime factor of N is of the form 6m +1, let N = 6n + 1. If any prime factor of N is of the form 6m + 1, then N must be of the form 6n + 1. Similarly, if any prime factor of N is of the form 6m + 5, then N must be of the form 6n + 5.

To prove that the number 6p1P2...pk + 5 has a prime factor > 3 which is of the form 6m + 5 and different from P1, P2,..., Pk, note that since P1, P2,..., Pk are primes > 3, the number 6p1P2...pk + 5 must be of the form 6m + 5 and have at least one prime factor which is of the form 6m + 5. Moreover, since P1, P2,..., Pk are primes of the form 6m + 5, any prime factor of 6p1P2...pk + 5 must be of the form 6m + 5 and different from P1, P2,..., Pk.

Since there are an infinite number of prime numbers > 3, there must be an infinite number of prime numbers of the form 6m + 5.

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The value of x is 4.

Since, △ABC≅ △EDF

We know by the property of Congruence

AB = DF

CB = DE

AC = FE

and, <A = <F, <B = <D, <C = <E

So, <A = <F

3x + 3=  5x - 7

3x - 5x = -7 - 3

-2x = -8

x = 4

Thus, the value of x is 4.

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Option (A): "As the degrees of freedom increases the shape of the Chi-Square Distribution becomes more skewed" is a false statement.

Now, amongst the considered options, "As the degrees of freedom increases the shape of the Chi-Square Distribution becomes more skewed." (Option A) is not true, because:

As the degrees of freedom increases, the shape of the Chi-Square Distribution approaches a normal distribution and the graph of the Chi-Square Distribution looks more symmetrical.

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1.  x² - 5x - 16 can be written as (x - 8)(x + 2).

2. 6an² - 3b²n² = n²(6a - 3b²).

3. This expression represents a perfect square trinomial, which can be factored as (2x - y)².

4. Combining like terms, we get -n³ - n² + n + 1 = -(n³ + n² - n - 1).

5. 17x³y⁴z⁶ = (x²y²z³)².

6. 12a²b³ = (2a)(6b³) = 12a6b³ = 12a⁷b³x⁶.

Let's simplify the given expressions:

Simplifying x² - 5x - 16:

To factorize this quadratic expression, we look for two numbers whose product is equal to -16 and whose sum is equal to -5. The numbers are -8 and 2.

Therefore, x² - 5x - 16 can be written as (x - 8)(x + 2).

Simplifying 6an² - 3b²n²:

To simplify this expression, we can factor out the common term n² from both terms:

6an² - 3b²n² = n²(6a - 3b²).

Simplifying 4x² - 4xy + y²:

This expression represents a perfect square trinomial, which can be factored as (2x - y)².

Simplifying n + 1 - n³ - n²:

Rearranging the terms, we have -n³ - n² + n + 1.

Combining like terms, we get -n³ - n² + n + 1 = -(n³ + n² - n - 1).

Simplifying 17x³y⁴z⁶:

To simplify this expression, we can divide each exponent by 2 to simplify it as much as possible:

17x³y⁴z⁶ = (x²y²z³)².

Simplifying 12a²b³:

To simplify this expression, we can multiply the exponents of a and b with the given expression:

12a²b³ = (2a)(6b³) = 12a6b³ = 12a⁷b³x⁶.

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Answer:

fcuck off nobdy caresd XD

Step-by-step explanation:

just give me brainliest, too poor to even be good at life LOL  JiEW

EDIT BCS YALL ARE GAEY A F

Answer:

B and c

Step-by-step explanation:

182/7=26

168/6=28