PLEASE ANSWER THIS QUESTION,ILL MARK YOU AS THE BRAINLIEST IF UR ANSWER IS CORRECT.

Answer:

A. x=35

B. C= 59 degrees

Step-by-step explanation:

Since both angles have the same measurement you set them equal to each other as so & solve for x

3x+16=5x-54

16=2x-54

70=2x

x=35

Now we plug 35 into one of the equations

3(35) + 16

105+ 16 = 121 degrees

Since angle C is a supplementary angles you do 180-121= 59 degrees

Answer:

24

Step-by-step explanation:

PEMDAS.

According to the question we have our assumption must be false and there are indeed infinitely many primes of the form 4k+3.

To prove that there are infinitely many primes of the form 4k+3, where k is a nonnegative integer, we can use a proof by contradiction. Assume that there are only finitely many primes of this form, say p1, p2, p3, ..., pn.

Consider the number N = 4(p1p2p3...pn) - 1. This number is of the form 4k+3, since the product of primes is also of this form.

Now, any prime factor of N must also be of the form 4k+3, since any prime factor of N cannot be 2 (since N is odd) and it cannot be of the form 4k+1 (since N leaves a remainder of 3 when divided by 4).

However, this contradicts our assumption that p1, p2, p3, ..., pn are the only primes of the form 4k+3, since N is a prime greater than pn and is also of this form.

Therefore, our assumption must be false and there are indeed infinitely many primes of the form 4k+3.

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9514 1404 393

Answer:

  x = 10

Step-by-step explanation:

The exterior angle is equal to the sum of the remote interior angles.

  (12x +12)° = 79° +(5x+3)°

  7x = 70 . . . . . . . . divide by °; subtract 12+5x; collect terms

  x = 10 . . . . . . . . divide by 7

Answer:

-2

Step-by-step explanation:

sec 180 + sin 270 - tan 180 + cot 270

= -1 + (-1) - 0 + 0

= -1 + (-1)

= -2

Answer:

67

Step-by-step explanation:

Answer:

The volume of the gas under these circumstances is 30 cm³.

Step-by-step explanation:

To determine the variation equation for this situation, we start with the formula V = Tk/P

where k is the constant of variation.

To solve for k, we use the initial values of V, T, and P

V = 42 cm³, T = 84 °C, P = 50 mmHg

Substituting these values into the formula, we get

42 = 84k/50

Solving for k, we have

k = (42 x 50)/84 = 25

Therefore, the variation equation for this situation is

V = 25T/P

To find the volume of gas when T = 48 °C and P = 40 mmHg, we substitute these values into the variation equation

V = 25 x 48/40 = 30 cm³

Therefore, the volume of the gas under these circumstances is 30 cm³.

The real interest rate, using the approximation formula, is 0.01 or 1%. This means that after considering the expected inflation rate, the purchasing power of the money grows at a rate of 1%.

The real interest rate can be calculated using the approximation formula: real interest rate = nominal interest rate - expected inflation rate.

We have:

Nominal interest rate (i) = 0.04

Expected inflation rate (+1) = 0.03

Using the formula, we can substitute the given values:

Real interest rate = 0.04 - 0.03

Calculating the difference:

Real interest rate = 0.01

Therefore, the real interest rate, using the approximation formula, is 0.01 or 1%.

The nominal interest rate represents the rate at which money grows in a bank account or investment without considering inflation. On the other hand, the real interest rate takes into account the effects of inflation, allowing us to understand the true purchasing power of the money.

To calculate the real interest rate, we subtract the expected inflation rate from the nominal interest rate. In this case, the nominal interest rate is 0.04 (4%), and the expected inflation rate is 0.03 (3%).

Substituting the values into the formula, we get:

Real interest rate = 0.04 - 0.03

Real interest rate = 0.01 or 1%

Therefore, the real interest rate, in this scenario, is 0.01 or 1%. This means that after accounting for inflation, the purchasing power of the money grows at a rate of 1%.

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Answer:

If 5x+17 is rent and electricity combined, and 3x-4 is just rent, then to find electricity, you need to subtract 3x-4 from 5x+17 to get just rent. (5x+17)-(3x-4) = 2x + 21. So he spends 2x +21 dollars on electricity. To find the value of x when the shopkeeper spends less than $100 on electrcity, make the equation for electricity equal 100. 100 = 2x +21, then solve for x. 79 = 2x. x = 39.5 All of the values of x would be under 39.5. x>39.5

Answer:

The equilibrium constant will be "1.1×10⁻⁶ m²".

CH₄ has a varying temperatures response with such an initial concentration of [CH₄] = 0.087 m.

At equilibrium, concentration of H₂ will be 0.012 m.

2CH₄           ⇄         C₂H₂ + 3H₂

(0.087 m)                  (0)       (0)

(0.087-2x)                 (x)        (3x)

[H₂] = 0.012 m

⇒  3x = 0.012

⇒    x = 0.004m

Now,

On putting the value of "x" in the above expression, we get

⇒ (0.087-0.004×2)          (0.004)           (0.012 m)

⇒ (0.079 m)                     (0.004)            (0.012 m)

As we know,

On putting the values in the above formula, we get

⇒  

⇒        

⇒        

Step-by-step explanation:

The confidence interval for the salary of new accounting professors is given by [130.026, 139.974].

We have,

Professors of accountancy are in high demand at American universities. A random sample of 28 new accounting professors found the average salary was $135 thousand with a standard deviation of $16 thousand.

So, Sample size, n= 28

Sample Mean,  x  = 135

Standard deviation, σ = $16 thousand

The confidence level is given by, C = 90%

So, the significance level is given by, α = 1 - C

α = 1 - 0.9

α = 0.1

Now, we need to calculate the confidence interval for the population mean.

Confidence Interval = Sample Mean ± Margin of Error

The margin of Error, E = (z) (σ/√n)

where the z value for a 90% confidence level is given by

Using the z-table we get, the value of z at 0.05 is 1.645

So, the Margin of Error is

E = (z) (σ/√n)

E = 1.645 (16/√28)

E = 4.974

Now, the confidence interval is given by

Confidence Interval = Sample Mean ± Margin of Error

Confidence Interval = 135 ± 4.974

Confidence Interval = [130.026, 139.974]

So, the salary of new accounting professors is given by [131.19, 138.81].

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The conversion of the rates to unit rates is as follows:

The unit rate is the ratio of one quantity or value compared to another.

The unit rate is the average rate, which is the quotient of the numerator and the denominator.

The quotient is determined by division operation, one of the four basic mathematical operations.

1. Two liters of spring water costs $1.98. $0.99 per liter ($1.98/2)

2. A car goes 425 miles on 12.5 gallons of gas. 34 miles per gallon of gas (425/12.5)

3. A car travels 676 miles in 13 hours. 52 miles per hour (676/13)

4. Four pounds of chicken costs $7.96. $1.99 per pound ($7.96/4)

5. A plane travels 675 miles in 1.5 hours. 450 miles per hour (675/1.5)

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This is the required solution that satisfies the given differential equation and initial condition.

The given differential equation is f '(x) = 6x², where the initial condition is given as f(0) = −9.

We can start with integration and find the particular solution: ∫f '(x) dx = ∫6x² dx ⟹ f(x) = 2x³ + C, where C is the constant of integration.

To find the constant C, we will use the initial condition given as

f(0) = −9f(0) = 2(0)³ + C = C = -9

Therefore, the particular solution is:f(x) = 2x³ - 9

Hence, this is the required solution that satisfies the given differential equation and initial condition.

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The density of the rectangular prism, you need to divide its mass by its volume.

1. Mass of the prism = 6.161 grams

2. Length of the prism = 1.669 cm

3. Width of the prism = 1.845 cm

4. Height of the prism = 6.907 cm

The volume of a rectangular prism is calculated by multiplying its length, width, and height:

Volume = Length * Width * Height

Volume = 1.669 cm * 1.845 cm * 6.907 cm

Volume ≈ 21.325

Now, divide the mass by the volume to obtain the density:

Density = Mass / Volume

Density = 6.161  / 21.325

Density ≈ 0.289 (rounded to three decimal places)

For the second part of your question, we need to calculate the percent abundance of zinc in the sample with the given densities.

1. Density of the sample = 7.801

2. Density of pure copper = 8.96

3. Density of pure zinc = 7.13

Since the densities are given in different units, we need to convert them to the same unit. We'll convert the density of the sample from g/mL to g/cm^3:

Density of the sample = 7.801 g/mL * (1 mL / 1 cm)

Density of the sample ≈ 7.801

Now, we can calculate the percent abundance of zinc using the densities:Percent abundance of zinc = (Density of sample - Density of copper) / (Density of zinc - Density of copper) * 100

Percent abundance of zinc = (7.801 - 8.96 ) / (7.13  - 8.96 ) * 100

Percent abundance of zinc ≈ -11.48%

The negative value indicates that the sample contains a higher Percentage of copper compared to zinc.

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Answer:

i'm pretty sure there's no solution

Answer:

Step-by-step explanation:

The given radical expression is (√x)^5. To rewrite it in rational exponent form, we need to express the square root (√) as a fractional exponent.

The square root (√) of x can be written as x^(1/2).

To raise x^(1/2) to the power of 5, we can multiply the exponents: (x^(1/2))^5 = x^(5/2).

Therefore, the radical expression (√x)^5 can be rewritten as x^(5/2) in rational exponent form.

In summary, (√x)^5 is equivalent to x^(5/2) in rational exponent form.

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Answer:

B. 51

Step-by-step explanation:

first do inside the parenthesis

83 - 4 * (6-4)^3 = 83 - 4 * (2)^3

now multiply 4 and the third power of 2  (the third power of 2 is 2x2x2=8)

83 - 4 * (2)^3 = 83 - 32 subtract  and the answer is 51

Answer:

\(83 - 4 \times {(6 - 4)}^{3} \\ = 83 - 4 \times {(2)}^{3} \\ = 83 - 4 \times 8 \\ = 83 - 32 \\ = 51 \\ thank \: you\)

Answer:

y=\(\sqrt[3]{x-1}\)

Step-by-step explanation:

y=x^3-1

Switch y and x

x=y^3-1

Solve for y

x-1=y^3

y=\(\sqrt[3]{x-1}\)

Answer:

h inequality 15

hope it is helpful to you

e = 0.33

So, the margin of error (e) is 0.33. To compute the margin of error (e) for the given confidence interval for a population mean, we need to use the formula:

e = (upper limit of the interval - lower limit of the interval) / 2

Plugging in the given values, we get:

e = (17.71 - 17.05) / 2

e = 0.66 / 2

e = 0.33

Therefore, the margin of error (e) for the given confidence interval is 0.33.
Hi! Based on the given confidence interval for the population mean (μ), which is 17.05 < μ < 17.71, you can compute the margin of error (e) by finding the difference between the upper limit and the lower limit, and then dividing that by 2.

Here's the calculation:

e = (Upper Limit - Lower Limit) / 2
e = (17.71 - 17.05) / 2
e = 0.66 / 2
e = 0.33

So, the margin of error (e) is 0.33.

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Answer:

half dozen = 6

(4.25 dollars / 6 cupcakes ) * 34 cupcakes = 24.08 dollars

Step-by-step explanation:

Answer:

$24.14

Step-by-step explanation:

$4.25 ÷ 6 = $.71

34 × $.71 = $24.14

Answer:

\(x = 2 \frac{1}{4} \)

Step-by-step explanation:

\( {x}^{2} = \frac{81}{16} \)

\(x > 0\)

\(x = \sqrt{ \frac{81}{16} } \)

\(x = \frac{ \sqrt{81} }{ \sqrt{16} } = \frac{9}{4} = 2 \frac{1}{4} \)

Answer:

x^2 = 81/16

x = +√(81/16) = +9/4

Answer:

8

Step-by-step explanation:

The number of different ways is 7560 ways

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

Chiefs = 1

Supporting chiefs = 2

Members = 10

Inferior officers = 2

There are 10 members.

So, the number of ways to select a chief is 10

Now, there are 9 members left

The number of ways to select a supporting chief is then represented as

Supporting chief = ⁹C₂

Now, there are 7 members left

The number of ways to select an inferior officer is then represented as

Inferior officers = ⁷C₂

So, the total number of ways is

Ways = 10 * ⁹C₂ * ⁷C₂

Evaluate

Ways = 7560

Hence, the number of ways is 7560

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The correct histogram that best represents the data collected a skewed right histogram.

A histogram is a graphic representation of a frequency distribution with grouped continuous classes. A series of rectangles with bases equal to the distances between class boundaries and areas proportional to frequencies in the associated classes make up the area diagram.

The correct histogram that best represents the data collected is:

Tides For 15 Days is a histogram with the intervals 1 to 5, 6 to 10, 11 to 15, 16 to 20, and 21 to 25 on the x-axis and Measurement In Feet on the y-axis. The y-axis is labeled Frequency and starts at 0 with tick marks every one unit up to 7. There is a shaded bar above 1 to 5 that stops at 1, above 6 to 10 that stops at 5, above 11 to 15 that stops at 4, above 16 to 20 that stops at 2, and above 21 to 25 that stops at 3.

This histogram correctly represents the distribution of the data, with the majority of the values falling between 6 to 20 feet. The interval 1 to 5 feet has only one value, the interval 6 to 10 feet has the highest frequency with five values, the interval 11 to 15 feet has four values, the interval 16 to 20 feet has two values, and the interval 21 to 25 feet has three values. This distribution shows a skewed right histogram.

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Answer:

x=22000 ( bonds)

Step-by-step explanation:

total money invested=26000 , x for bonds and y stocks

x+y=26000 ⇒ x=26000-y

0.05 x + 0.08 y=1420  solve by substitute : x=26000-y

0.05(26000-y)+0.08 y =1420

1300-0.05y+0.08y=1420

0.03y=1420-1300

y=120/0.03

y= 4000 ( the amount invested in stocks)

the amount invested in bonds x= 26000-4000

x=22000 ( bonds)

check :

0.05(22000)+0.08(4000)= 1420 correct

The 90% confidence interval for the population mean is (132.1, 143.9). Then the correct option is C.

The probability or the chances of error while choosing or calculating a sample in a survey is called the margin of error.

A simple random sample of 90 is drawn from a normally distributed population, and the mean is found to be 138, with a standard deviation of 34.

The 90% confidence interval for the population mean. Then we have

\(\rm Margin \ of \ error = z * \dfrac{Standard \ deviation}{\sqrt{sample \ size}}\\\\\\\Margin \ of \ error = 1.645 * \dfrac{34}{\sqrt{90}}\\\\\\Margin \ of \ error = 5.9\)

The interval will be given as

Mean ± Margin of error

138 ± 5.9

Then the interval will be (132.1, 143.9).

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Answer:

The answer is C. 132.10 to 143.90

Step-by-step explanation:

please brainliest? :)

To move the dot to -(-F) on the number line, we need to consider the given value of F as -1.5. By applying the negation operation twice, we arrive at the value 1.5, which is the final position on the number line.

The given expression, F = -1.5, represents a negative value. To determine the position on the number line corresponding to -(-F), we first need to negate the value of F. Negating a negative number results in a positive number. Therefore, by negating -1.5, we obtain a positive value of 1.5.

The next step is to move the dot to the position -(-F) on the number line. In this case, -(-F) simplifies to -1.5. By observing the number line, we find that -1.5 is located to the left of zero. Thus, we move the dot to the left side of zero, indicating the position of -1.5 on the number line. Therefore, after considering the negation operation twice, we arrive at the final position of 1.5 on the number line, corresponding to -(-F).

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Answer:

K=3

Step-by-step explanation:

I think so, if I’m wrong I’m sorry

Answer:

Step-by-step explanation:

\(\frac{9}{12}\) = \(\frac{k}{k+4}\)

12k = 9(k + 4)

12k - 9k = 36

3k = 36

k = 12