The wire attached to a radio station tower in Westlake Hills is placed at a 74º angle with the ground. The wire is attached 30 ft from the station. If Ryan wants to try to walk the wire, how long is the wire he wants to walk? (round to the nearest tenth)

HELP GIVING 25 POINTS AND BRAINLIST

Answer:

119 Cans Left

Step-by-step explanation:

If bob brought 16 packs of soda, and each pack had 8 cans, there would be 128 cans. This is because 1 pack is worth 8 cans.

16 × 8 = 128

128 - 9 = 119

Bob drank 9 of the cans, which is the same as subtracting from 128. This gives us the answer.

Answer:

below

Step-by-step explanation:

perimeter of a semicircle

½ * 2πr

=πr

= 3.142*27

=84.78cm

Answer:

456

Step-by-step explanation:

Product means an answer derived from multiplication.  Therefore, if the product is 155952, and one value is 342, then the following equation is true:

342x = 155952, or 342 * x = 155952

Divide 155952 by 342 to get: 456.

Check the work in the equation:

342(456) = 155952

155952 = 155952, which is true, so the answer is 456.

If I helped, please make this answer brainliest! ;)

The equation that represents the total price of Michigan State University per semester is determined by the number of classes taken (c) and the total cost for the semester, which includes a one-time fee for room and board (t).

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Answer:

First, we rearrange the equation to isolate the y-term on one side:

dy/dx + ytanx = secx

Then, we multiply both sides by the integrating factor, which is e^(∫tanx dx) = e^(ln|secx|) = |secx|: | secx| dy/dx + ysecx tanx = 1

Next, we can write this as the derivative of a product using the product rule: d/dx (y |secx|) = 1

Integrating both sides with respect to x, we get:  y |secx| = x + C

where C is the constant of integration. Solving for y, we have:

y = (x + C)/|secx|

Note that there is a singularity at x = (2n + 1)π/2, where the denominator |secx| is zero. At these points, the solution is not defined

The length of the arc in the image given is approximately: A. 3.5 cm

Length of arc = ∅/360 × 2πr

The missing parts of the question is shown in the image below, where we are asked to find arc length of JH.

Thus, we would have the following:

∅ = 25°

Radius (r) = 16/2 = 8 cm

Substitute the values into the formula:

Arc length JH = 25/360 × 2π(8)

Arc length JH ≈ 3.5 cm

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a. Assuming no additional restrictions, there are  800 possible three-digit area codes.

b. Considering ERCs, there are  80 ERCs.

c. For the seven digits after the area code, there are \(8 \times 10^6 = 8,000,000\)  possible seven-digit phone numbers.

d. Assuming only the 0 and 1 restrictions from parts a and c, the number of possible ten-digit phone numbers is 800 \(\times\) 8,000,000 = 6,400,000,000.

a. For three-digit area codes, the first digit cannot be 0 or 1.

Assuming no additional restrictions, there are 8 possibilities for the first digit (2-9) and 10 possibilities for each of the remaining two digits (0-9). Therefore, the total number of three-digit area codes possible under this plan is \(8 \times 10 \times 10 = 800.\)

b. For an ERC (Easily Recognizable Code), the second and third digits of the area code must be the same, and the first digit cannot be 0 or 1. There are 8 possibilities for the first digit (2-9) and 10 possibilities for the third digit (0-9).

Since the second digit must be the same as the third digit, there is only 1 possibility.

Therefore, the total number of ERCs is \(8 \times 1 \times 10 = 80.\)

c. For the seven digits after the area code, the first digit of the three-digit local prefix cannot be 0 or 1.

There are 8 possibilities for the first digit (2-9) and 10 possibilities for each of the remaining six digits (0-9).

Therefore, the total number of seven-digit phone numbers possible is 8 * \(10\times 10 \times 10 \times 10 \times 10 \times 10 = 8,000,000.\)

d. Assuming only the 0 and 1 restrictions from parts a and c, the number of possible ten-digit phone numbers can be calculated by multiplying the number of possibilities for each digit position.

For the area code (part a), there are 800 possibilities.

For the seven digits after the area code (part c), there are 8,000,000 possibilities.

Therefore, the total number of ten-digit phone numbers possible is 800 * 8,000,000 = 6,400,000,000.

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Step-by-step explanation:

In the figure,

145° and 3x - 5 are vertically opposite angles which are equal, so

=> 3x - 5 = 145°

=> 3x = 145 + 5

=> 3x = 150°

=> x = 150°/3

=> x = 50°

Answer:

x = 50

explanation:

vertically opposite angles are of equal measure.

solve:

3x - 5 = 145

3x = 145 + 5

3x = 150

x = 50

Answer:

The answer would be A

You are trying to find an area and A is the only correct way to do an area.

Step-by-step explanation:

Hope this helped.

A brainliest is always appreciated.

The amount of dry ingredients used in the cake recipe is approximately 7 cups.

To find the total amount of dry ingredients used in the cake recipe, we need to add up the amounts of flour, sugar, and cocoa.

3 ½ cups of flour is equal to 3 cups plus 0.5 cups, or 3 cups and 8 ounces.

2 ⅔ cups of sugar is equal to 2 cups plus 0.67 cups, or 2 cups and 10.72 ounces.

1 ¾ cups of cocoa is equal to 1 cup plus 0.75 cups, or 1 cup and 12 ounces.

Adding these amounts together, we get:

3 cups and 8 ounces + 2 cups and 10.72 ounces + 1 cup and 12 ounces = 6 cups and 14.72 ounces

To the nearest cup, this is equal to 7 cups.

Therefore, the amount of dry ingredients used in the cake recipe is approximately 7 cups.

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Answer:

0.2027 = 20.27% probability that a non-defective product came from the second machine

Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

\(P(B|A) = \frac{P(A \cap B)}{P(A)}\)

In which

P(B|A) is the probability of event B happening, given that A happened.

\(P(A \cap B)\) is the probability of both A and B happening.

P(A) is the probability of A happening.

In this question:

Event A: Non-defective product.

Event B: From the second machine.

Probability of a non-defective product:

100-13 = 87% of 30%(first machine)

100-9 = 91% of 20%(second machine)

100-9 = 91% of 50%(third machine).

So

\(P(A) = 0.87*0.3 + 0.91*0.2 + 0.91*0.5 = 0.898\)

Non-defective and from the second machine:

91% of 20%. So

\(P(A \cap B) = 0.91*0.2 = 0.182\)

What is the probability that a non-defective product came from the second machine

\(P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.182}{0.898} = 0.2027\)

0.2027 = 20.27% probability that a non-defective product came from the second machine

Answer:

Step-by-step explanation:

970

Answer:

14

Step-by-step explanation:

Sin(∅) = Opposite angle ÷ hypotenuse.

Sin (45) = 7\(\sqrt{2}\) ÷ hypotenuse

hypotenuse = 7\(\sqrt{2}\) ÷ sin(45)

*********************

Keep in mind

sin(45) = √2÷2

*********************

so we have:  Hypotenuse = 7√2 ÷ (√2÷2)

Hypotenuse= 14.

Answer:

a. (see attachment)

b. 6.5 km

c. 4.717 km

MAKE SURE TO USE UNITS

Answer:

- Banking Operations salary in India with less than 1 year of experience to 10 years ranges from ₹ 1.4 Lakhs to ₹ 7 Lakhs with an average annual salary of ₹ 3.1 Lakhs based on 261 latest salaries

For the positive integer n, \(\langle n\rangle\) denote the sum of all the positive divisors of n with the exception of n itself is an option (A). 6.

We start by calculating the value of \(\langle 6 \rangle\), which is the sum of the positive divisors of 6 excluding 6 itself.

Since the divisors of 6 are 1, 2, 3, and 6, we have \(\langle 6 \rangle = 1 + 2 + 3 = 6\).

Next, we need to calculate \(\langle\langle 6 \rangle\rangle\), which is the sum of the positive divisors of 6 excluding 6 itself, and the positive divisors of 6 excluding 6 itself and \(\langle 6 \rangle\).

The divisors of 6 excluding 6 itself are 1, 2, and 3, so \(\langle\langle 6 \rangle\rangle\) is the sum of the positive divisors of 1, 2, and 3.

The divisors of 1 are just 1, the divisors of 2 are 1 and 2, and the divisors of 3 are 1 and 3.

Thus, \(\langle\langle 6 \rangle\rangle = 1 + 2 + 1 + 3 = 7\).

Finally, we need to calculate \(\langle\langle\langle 6\rangle\rangle\rangle\),

which is the sum of the positive divisors of 1, 2, 3, and 7.

The divisors of 1 are just 1, the divisors of 2 are 1 and 2, the divisors of 3 are 1 and 3, and the only divisor of 7 is 1.

Thus, \(\langle\langle\langle 6\rangle\rangle\rangle = 1 + 2 + 1 + 3 + 1 = \boxed{8}\).

For the positive integer n, \(\langle n\rangle\) denote the sum of all the positive divisors of n with the exception of n itself is 6

Hence option A is correct choice.

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Answer:

x=2

Step-by-step explanation:

10 - (x + 3) = 5

To solve for x, we can start by simplifying the left side of the equation:

10 - (x + 3) = 5

10 - x - 3 = 5

7 - x = 5

Next, we can isolate x on one side of the equation by subtracting 7 from both sides:

7 - x = 5

7 - x - 7 = 5 - 7

-x = -2

Finally, we can solve for x by dividing both sides of the equation by -1:

-x = -2

x = 2

Therefore, the solution to the equation is x = 2.

According to the information, we can infer that Mazibane must pay R3640 into the account on 30 June to have no debt.

To calculate the amount Mazibane must pay on 30 June to have no debt in the account, we need to consider the initial debt, the interest, and the previous payment.

Initial Debt:

Interest Calculation:

Previous Payment:

To determine the remaining debt on 1 June, we subtract the payment from the initial debt:

From 1 June to 30 June, a period of one month, interest is charged on the remaining debt.

To calculate the interest for one month, we use the formula:

where the principal is the remaining debt, the rate is the monthly interest rate (16%/12), and the time is the number of months (1).

To find the total debt on 30 June, we add the remaining debt on 1 June and the interest for one month:

To have no debt on 30 June, Mazibane must pay the total debt amount:

Calculating the interest and summing up the values, we find that Mazibane must pay approximately R3640 into the account on 30 June to have no debt.

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The number of weeks that Vanessa ran for the number of miles given would be = 24 weeks

The amount of distance that Vanessa covers for a week = 4 miles

The amount of weeks it will take for her to cover 96 moles would be = ?

That is;

1 week = 4 miles

X weeks = 96 miles

Make X the subject of formula;

X = 96× 1/4

= 24 weeks

Therefore Vanessa will be able to cover 96 miles in only 24 weeks.

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Complete Question

The Hollywood cats are a group of cats that have settled in along the Hollywood Beach in Florida. A group of volunteers feed them and care for them while trying to humanely reduce their numbers (as they are considered a nuisance). If there were 100 cats in the year 2012 and the rate of population change is given

by     \(-\frac{1}{4} t-2\)

where t is measured in years, how many cats are projected to be in the group in 2020.

Answer:

The number of total cats left after 8 years T

\(T=76\)

Step-by-step explanation:

From the question we are told that

Number of cats 2012 n=100

Number of years t=2012-2020=>8 years

Generally the equation of change in population is mathematically Given as

   \(\frac{dp}{dt}= -\frac{1}{4} t-2\)

  \(\int dp=\int_0^8 (-\frac{1}{4} t-2)\)

  \(p=\frac{-64}{8} -16\)

   \(p=-24cats\)

Therefore the number of total cats left after 8 years T is given as

\(T=100-24\)

\(T=76\)

Answer:

60km/h

Step-by-step explanation:

90 ÷ 1.5

= 60

60 km/h

Answer:

84 Hamburgers

Step-by-step explanation:

Hamburger = x

Cheeseburger = 2x

x+2x = 252

252/3 = x

x = 84

Hope this helps! (:

Answer:

Jenn is correct, as the function has two x-intercepts, at x = -3 and x = 3.

Step-by-step explanation:

x-intercepts of a function:

The x-intercepts of a function are the values of x for which f(x) = 0.

In this question:

\(f(x) = x^2 - 9\)

x-intercepts:

\(x^2 - 9 = 0\)

\(x^2 = 9\)

\(x = \pm \sqrt{9}\)

\(x = \pm 3\)

Jenn:

Jenn is correct, as the function has two x-intercepts, at x = -3 and x = 3.

There are \(1.18\times 10^24\) formula units in a 1.96 mol sample of NH4NO3.

What is Avagadaro's Number ?

Avogadro's number, denoted as N_A, is a fundamental physical constant that represents the number of particles (such as atoms, molecules, ions, or other particles) in one mole of a substance. One mole of a substance contains Avogadro's number of particles, which is approximately 6.022 x 10²³ particles.

The number of formula units in a sample of a compound can be calculated using Avogadro's number (6.022 x 10²³) and the molar mass of the compound.

The molar mass of NH4NO3 can be calculated as:

M(NH4NO3) = 14.01 + 4(1.01) + 14.01 + 3(16.00) = 80.04 g/mol

Therefore, the number of formula units in a 1.96 mol sample of NH4NO3 can be calculated as:

(1.96 mol NH4NO3) x (6.022 x 10²³ formula units/mol) = 1.18 x 10²⁴formula units

So, there are 1.18 x 10²⁴ formula units in a 1.96 mol sample of NH4NO3.

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Complete Question:

What Is The Number For Formula Units In A 1.96 Mol Sample Of NH₄NO₃?

Answer: $1856

Step-by-step explanation: 88 x 58 = 5104. 5104/2.75= 1856