simplify for this. 22 + (3x3 - 4x4)

Total time for whole journey can be calculated by adding the three parts of the journey which would give answer as 2.5 hours.

What is a fraction?

The components of an entire or group of items are represented by fractions. A fraction consists of two components. The numerator is that the figure at the top of the line. It details the amount of equal portions that were taken from the total or collection. The denominator is that the figure that appears below the line.

Main Body:

total time = 20 minutes + 40 minutes + 1 hour 30 minutes

                = 2.5 hours or 5/2 hours.

Hence total time for journey is 2.5 hours.

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The angles that share the same sine value as sin(45°) have terminal sides in second quadrant .

The sine function relates the ratio of the length of the side opposite an acute angle to the length of the hypotenuse of a right triangle. The sine of an angle is always between -1 and 1.

The sine of 45 degrees is √2/2, which is a positive value. Since the sine of an angle is positive in the first and second quadrants, the angles that share the same sine value as sin(45°) must have their terminal sides in the first or second quadrant.

To find the angles that have the same sine value as 45 degrees, we can use the inverse sine function, also known as the arcsine function. The arcsine of √2/2 is 45 degrees or π/4 radians, which is an angle in the first quadrant.

However, since the sine function is periodic, there are infinitely many angles with the same sine value as 45 degrees, and they are all separated by integer multiples of 360 degrees or 2π radians.

Therefore, the angles that share the same sine value as sin(45°) have terminal sides in second quadrant, and can be represented by the formula:

θ = n(360°) ± 45°

or

θ = n(2π) ± π/4

where n is an integer.

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Answer: (  ll ) edgen

Step-by-step explanation:

Step-by-step explanation:

There should be ϕ ( ϕ ( 7 ) ) = 2 \phi(\phi(7)) = 2 ϕ(ϕ(7))=2 primitive roots modulo 7. \par Since 3 is one, the other must be 3 raised to a power relatively prime to. \par Hence, 3 and 5 are the primitive roots of modulo 7.

The measures of position that divide a set of data into four equal parts are called quartiles.

Quartiles are statistical measures that divide a dataset into four equal parts, each containing approximately 25% of the data. These quartiles are denoted as Q1, Q2, and Q3.

Q1, also known as the first quartile or the 25th percentile, represents the value below which 25% of the data falls. It splits the lowest 25% of the dataset from the rest.

Q2, also known as the second quartile or the 50th percentile, is the median of the dataset. It represents the value below which 50% of the data falls, dividing the dataset into two equal parts.

Q3, also known as the third quartile or the 75th percentile, represents the value below which 75% of the data falls. It separates the highest 25% of the dataset from the rest.

These quartiles are useful in analyzing the distribution and dispersion of data, providing insights into the spread and central tendency.

They are commonly used in box plots, where the box represents the interquartile range (IQR), which is the range between Q1 and Q3, while the line inside the box represents the median (Q2).

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When the given numbers are ordered from least to greatest, the result would be 8/25, 1, 5/4, 1.3

To be able to order the numbers, it would be best to convert them to the same form. In order words, all the numbers should either be decimals or fractions.

Decimals are easier to compare so convert them to decimals:

= 8 / 25                                                    = 5 / 4

= 0.32                                                      = 1.25

The numbers are:
1, 0.32, 1.3, 1.25

The order from least to greatest is:

0.32, 1, 1.25, 1.3

or:

8/25, 1, 5/4, 1.3

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Answer:

11 because 55 devided by 11 is makes 5 and 44 decided by 11 is 4

Answer: the real answer for this will be p=3/2 and s=5

Step-by-step explanation: here

2p=3

2p/2=3b/2 divide both sides by 2

P=3/2

3/2 for p in s=5

S=5

S=5

Answer P=3/2 and s= 5

Got it

Hey there!

“Evaluate 2ps for p=3 and s=5”

• Side note: If p = 3 then SUBSTITUTE where “p” is at in the equation; if s = 5 then SUBSTITUTE where “s” is at in the equation!

• New equation: 2(3)(5)

2(3)(5)

2(3) = 6

6(5) = 30

Answer: A. 30 ☑️

Good luck on your assignment and enjoy your day!

~LoveYourselfFirst:)

The null hypothesis for this scenario is that the valve performs to the specifications, i.e., the mean pressure produced by the valve is 5.9 lbs/square inch. The alternative hypothesis is that the valve does not perform to the specifications, i.e., the mean pressure produced by the valve is not 5.9 lbs/square inch.

To determine if there is sufficient evidence to reject the null hypothesis, we need to perform a hypothesis test.

Since the sample size is greater than 30 and we know the population standard deviation, we can use a z-test. We can calculate the test statistic as:

z = (sample mean - population mean) / (population standard deviation / sqrt(sample size))

Plugging in the given values, we get:

z = (6.1 - 5.9) / (0.9 / sqrt(130)) = 2.33

Using a standard normal distribution table, we find that the probability of getting a z-value of 2.33 or greater is approximately 0.01.

Since this probability is less than the significance level of 0.05, we can reject the null hypothesis and conclude that there is sufficient evidence that the valve does not perform to the specifications.

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To estimate the sum of a convergent alternating series with an absolute error of less than 0.001, we can use the Alternating Series Estimation Theorem.

This theorem states that the error made by approximating the sum of an alternating series with the nth partial sum is less than or equal to the absolute value of the (n+1)th term.

In other words, if we want the absolute error to be less than 0.001, we need to find the smallest value of n such that |a(n+1)| < 0.001, where a(n) is the nth term of the alternating series.

Then, using the Alternating Series Test, we know that the terms of the series must approach zero as n goes to infinity. So, if we want the absolute error to be less than 0.001, we need to find the smallest value of n such that:

|a(n+1)| < 0.001

Now, we can rearrange this inequality to solve for n:

|a(n+1)| < 0.001

a(n+1) < 0.001 (since the series is alternating)

(-1)(n+1) * a(n+1) < 0.001 (-1 to account for the alternating signs)

a(n+1) > -0.001

Since the terms of the series are decreasing in magnitude, we can assume that the smallest value of |a(n+1)|. Therefore, we can set n = 1 to get:

|a(2)| < 0.001

|(-1)2 * a(2)| < 0.001

|a(2)| < 0.001

So the absolute error will be less than 0.001 if we use the first two terms of the series to estimate the sum.

The total of the convergent alternating series can be estimated with a minimum of two terms and an absolute error of less than 0.001.

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Answer:

129

Step-by-step explanation:

the answer is 129 because you do 0.50 times 86 which is 43 so you do 43 + 86 which is 129 so $129 is your answer

The selling price of an $86 item after a 50% markup will be $129.

The amount of any product is given as though it was a proportion of a hundred. The ratio can be expressed as a quarter of 100. The phrase % translates to one hundred percent. It is symbolized by the character '%'.

The percentage is given as,

Percentage (P) = [Final value - Initial value] / Initial value x 100

The price of an item is $86 and the price is increased by 50%.

Let 'x' be the selling price. Then the selling price is calculated as,

50% = [(x - 86) / 86] x 100

Simplify the equation, then we have

50% = [(x - $86) / $86] x 100

0.50 = (x - $86) / $86

$43 = x - $86

x = $86 + $43

x = $129

The selling cost of a $86 thing after a half markup will be $129.

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Answer:

First missing number: x = 3

Second missing number: x = 6

Step-by-step explanation:

\(\begin{array}{|c|ll} \cline{1-1} \textit{a\% of b}\\ \cline{1-1} \\ \left( \cfrac{a}{100} \right)\cdot b \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{40\% of 59}}{\left( \cfrac{40}{100} \right)59}\implies 23.6~\hfill \underset{sale~price}{\stackrel{59~~ - ~~23.6}{35.4}} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{8\% of 35.4}}{\left( \cfrac{8}{100} \right)35.4}\implies 2.832~\hspace{10em}\underset{\textit{sale price plus tax}}{\stackrel{35.4~~ + ~~2.832}{\approx 38.23}}\)

Answer:

2

Step-by-step explanation:

so 10÷2=5 6÷2=3 3/5

that what u need?

Answer:

the answer would be 2      

Step-by-step explanation:

Answer:

325 adults

Step-by-step explanation:

x=#adults

y=#children

x+y=937

2x+0.75y=1109

2x+2y=1874

-2x-0.75y=1109

1.25y=765

y=612

x=937-612

x=325

Answer:

JL ≈ 32  

Step-by-step explanation:

The triangle JKL  has a side of JK = 24 and we are asked to find side JL. The triangle JKL is a right angle triangle.

Let us find side the angle J first from the  triangle JKM. Angle JMN is 90°(angle on a straight line).

using the cosine ratio

cos J = adjacent/hypotenuse

cos J = 18/24

cos J = 0.75

J = cos⁻¹ 0.75

J = 41.4096221093

J ≈ 41.41°

Let us find the third angle L of the triangle JKL .Sum of angle in a triangle = 180°. Therefore,  180 - 41.41 - 90 = 48.59

Angle L = 48.59 °.

Using sine ratio

sin 48.59 ° = opposite/hypotenuse

sin 48.59 ° = 24/JL

cross multiply

JL sin 48.59 ° = 24

divide both sides by sin 48.59 °

JL = 24/sin 48.59 °

JL = 24/0.74999563751

JL = 32.0001861339

JL ≈ 32  

Answer:

-12a + 24

Step-by-step explanation:

3 times 4 is 12

3 times 8 is 24

Answer:

-12a+24

Step-by-step explanation:

Answer:

sin(90-25) = sin(65)

Step-by-step explanation:

cos(a) = sin(90-a)

Chloe put approximately 6 pounds of potting soil in each pot.

To find out how many pounds of potting soil Chloe put in each pot, we need to divide the total weight of the bag (40 pounds) by the number of flowerpots (7).

Using division, we have: 40 ÷ 7 = 5.7142857

Since we're dealing with whole numbers, we need to round the decimal to the nearest whole number. In this case, the decimal is closer to 6 than 5, so we round up to 6.


The two whole numbers between which the number of pounds of potting soil falls are 5 and 6.

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Answer: 2A/b = h

Step-by-step explanation: First, get rid of the fraction by multiplying both sides of the equation by 2. That gives us 2A = bh.

Don't be thrown off by the capital A in this problem.

Just treat it like any other variable.

To get h by itself on the right side of the equation, we now simply

divide both sides of the equation by b and our answer is 2A/b = h.

Take a look back at the formula now in the

original problem, A = 1/2bh, does that look familiar?

Answer:

54 Words Per Minute

Hope I helped!

Answer:

$1.720.34

Step-by-step explanation:

to do this problem we can use the exponential growth formula A=p(1+r)^t

substituting our values we get

A = 1,557.00(1+0.02)^5

after solving the equation for A we get that

A after 5 years will be $1,720.34

Answer:

q = p + r + 3s

Step-by-step explanation:

q - r - 3s = p solve for q

q - r - 3s = p

add r to both sides:

q - r - 3s + r = p + r

q - 3s = p + r

add 3s to both sides:

q - 3s + 3s = p + r + 3s

q = p + r + 3s

The interquartile range (IQR) is a measure of the spread or variability of the middle 50 percent of the data.

The interquartile range (IQR) is a statistical measure that describes the spread or dispersion of the middle 50 percent of the data. It is calculated as the difference between the third quartile (Q3) and the first quartile (Q1) of a dataset.

The quartiles divide a dataset into four equal parts, each representing 25 percent of the data. The first quartile (Q1) represents the lower boundary of the middle 50 percent, while the third quartile (Q3) represents the upper boundary of the middle 50 percent. The IQR captures the range of values within this middle range.

By focusing on the middle 50 percent of the data and excluding the extreme values, the interquartile range provides a measure of variability that is less affected by outliers or extreme values. It is commonly used in descriptive statistics and data analysis to understand the spread and distribution of a dataset, particularly when the data is not symmetrically distributed or contains outliers.

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Answer:

49 degrees could be an interpolation.

Step-by-step explanation:

For an interpolation, the data point in question needs to be in the middle of the given data points of the graph. Only the value 49 is in between all the points in our graph. The rest of the choice fall outside of the points.

The proposition (a) VrER ((x + 1)² ≥ 2r) is false, demonstrated by a counterexample. The proposition (b) -3n € N (n² + n = 42) is true, proven by finding integer solutions that satisfy the equation.

(a) The proposition VrER ((x + 1)² ≥ 2r) is false. To prove this, we need to find a counterexample, which means finding a value of x for which the inequality does not hold for all real numbers r.

Let's consider x = 0. Then the inequality becomes (0 + 1)² ≥ 2r, which simplifies to 1 ≥ 2r. However, this inequality is not true for all real numbers r. For example, if we choose r = 1/2, the inequality becomes 1 ≥ 1, which is not true.

Therefore, the proposition VrER ((x + 1)² ≥ 2r) is false.

(b) The proposition -3n € N (n² + n = 42) is true. To prove this, we need to show that there exists an integer n that satisfies the equation n² + n = 42 when -3n is an element of the set of natural numbers N.

Let's solve the equation n² + n = 42:

n² + n - 42 = 0.

Factoring the quadratic equation, we have:

(n + 7)(n - 6) = 0.

This equation has two solutions: n = -7 and n = 6.

Now, let's substitute these values into -3n:

-3(-7) = 21 and -3(6) = -18.

Both 21 and -18 are elements of the set of natural numbers N (positive integers).

Therefore, the proposition -3n € N (n² + n = 42) is true.

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