Algebra Find the value of each variable using the given chord, secant, and tangent lengths. If the answer is not
a whole number, round to the nearest tenth.

Answer:

Purchasing Power

Step-by-step explanation:

None

The contractor has a maximum of 29 hours (rounded down) to complete the job while keeping the total cost under $2000.

To find the number of hours the contractor has for the job while keeping the total cost under $2000, we can use the given cost model equation: C = 43H + 750.

Since the owner wants the total cost to be under $2000, we can set up the inequality:

43H + 750 < 2000

Now, let's solve this inequality for H, the number of hours:

43H < 2000 - 750

43H < 1250

Dividing both sides of the inequality by 43:

H < 1250/43

To determine the maximum number of hours the contractor has for the job, we need to round down the result to the nearest whole number since the contractor cannot work a fraction of an hour.

Using a calculator, we find that 1250 divided by 43 is approximately 29.07. Rounding down to the nearest whole number, we get:

H < 29

Using the cost model equation C = 43H + 750, where C represents the total cost and H represents the number of hours, we set up the inequality 43H + 750 < 2000 to satisfy the owner's requirement of a total cost under $2000.

By solving the inequality and rounding down to the nearest whole number, we find that the contractor has a maximum of 29 hours to complete the job within the specified cost limit.

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Inequality represents number of months (m) it will take Gabriela to save at least $5,600 is m ≥ 6.

As given in the question,

Amount Gabriela plans to save to buy a car = at least $5,600

Amount she already has = $2500

Amount she needs to save at least = $(5600 -2500)

                                                          =$3100

Plans to save each month =$500

Inequality to represents the number of months to save at least $5600

m ≥ 3100/500

⇒ m ≥ 6

Therefore, inequality represents number of months (m) it will take Gabriela to save at least $5,600 is m ≥ 6.

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Hello!

number = x

3 * x - 2 = 25

3x - 2 = 27

3x = 27

x = 27/3

x = 9

the number is 9

The number is:

Work/explanation:

Let t be the number. 3 times a number t is 3t. Then if we decrease by 2, it's the same as subtracting 2. So, 3t - 2.

Now this equals 25:

3t - 2 = 25

So now we have a little equation to solve.

Add 2 on each side

3t = 27

Divide each side by 3

t = 9

Answer:

12+33 and 33 - (-12)

Step-by-step explanation:

12 - (-33) = 45

12 + 33 gives us 45

33 - (-12) gives us 45

Answer:

Step-by-step explanation:

B, C, and D

The y-intercept of the line representing Beatrice's monthly music is 20

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

y = -.95x + 20

To calculate the y-intercept of the line, we set x = 0

So, we have

y = -.95 * 0 + 20

Evaluate

y = 20

Hence, the y-intercept of the line representing Beatrice's monthly music is 20

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Question

What is the y-intercept of the line representing Beatrice's monthly music subscription bill as a function of the number of songs she downloaded?

The equation is y = -.95x + 20

The circumference of the given circle is 41 cm

A circle is a round-shaped figure that has no corners or edges. In geometry, a circle can be defined as a closed, two-dimensional curved shape.

The circumference of a circle is the boundary length of the circle, it is basically the perimeter of the circle, in degree measure it can not exceed by 360°

Given that, a circle, with diameter, 13 cm, we need to find it circumference.

We know that, the circumference of a circle is given by,

Circumference of the circle = π × diameter

= 3.14 × 13

= 40.82

≈ 41 cm

Hence, the circumference of the given circle is 41 cm

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Answer:

x>9

Step-by-step explanation:

Answer:

B)

Step-by-step explanation:

9.7×10⁵= 970000

Hope this helped you- have a good day bro cya)

Answer:

no

Step-by-step explanation:

no

Answer:

The slope is 1/2

Step-by-step explanation:

Hi!

Disclaimer: Just for this response, I'm going to write it the same way you write a fraction out on paper just so it's easier to see.

First, you plot the two coordinates on the graph:

(0,0) and (2,1)

The formula for slope is \(\frac{y1 - y2}{x1 - x2}\)

Now we plug in numbers accordingly:

\(\frac{0 - 1}{0 - 2}\)

Simplify:

\(\frac{-1}{-2} \\\)

Simplify:

\(\frac{1}{2}\)

Let me know if you have any questions

Answer:

30 3/8kg or 30.375kg

Step-by-step explanation:

40.5 / 4 = [10.125 or 10 1/8]

[10.125 or 10 1/8] is 1/4

x3

30 3/8 or 30.375

Out of the possible outcomes HH, HT, TH, and TT when a coin is tossed twice, the missing outcome is TT. Option B.

To determine the missing outcome when a coin is tossed twice, we need to consider all the possible combinations of heads (H) and tails (T) that can result from two coin tosses.

Given that three of the possible outcomes are HH, HT, and TH, we can deduce that the missing outcome must be TT.

Let's analyze each option to confirm:

(A) TH: This outcome is already mentioned, so it is not the missing outcome.

(B) TT: This is the missing outcome as it has not been mentioned among the given options.

(C) HT: This outcome is already mentioned, so it is not the missing outcome.

(D) TH: This outcome is already mentioned, so it is not the missing outcome.

Therefore, the missing outcome is TT. Option B is correct.

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Answer:

$3.66.

Step-by-step explanation:

1 yard is equal to 3 feet. So, a 2-yard piece of brass wire is equivalent to 6 feet of brass wire. To find the price per foot, we need to divide the total cost by the total length. So, the price per foot is

Answer:

2 litres of water

Step-by-step explanation:

If Ryan drinks 1 1/2 liters of water every 3/4 of an hour at a constant rate, this can also be expressed as;

1 1/2 litres = 3/4 hour

To get the amount of litres Ryan drank for 1 hour

x = 1 hour

Divide both equations

(3/2)/x = (3/4)/1

3/2x = 3/4

2x * 3 = 3 * 4

6x = 12

x = 12/6

x = 2

Hence Ryan drinks 2 litres of water in an hour

\(\huge\textsf{Hey there!}\)

\(\mathsf{16 \dfrac{40}{50}}\)

\(\mathsf{= \dfrac{16\times50 + 40}{50}}\)

\(\mathsf{= \dfrac{800 + 40}{50}}\)

\(\mathsf{= \dfrac{840}{50}}\)

\(\mathsf{= 840\div50}\)

\(\mathsf{= 16.8}\)

\(\huge\textbf{Therefore, your answer should be:}\)

\(\huge\boxed{\mathsf{16.8}}\huge\checkmark\)

\(\huge\text{Good luck on your assignment \& enjoy your day!}\)

Answer:

112

Step-by-step explanation:

4 dogs times 2 cups = 8 cups. 8 cups times 12 days = 96 cups in bag. 96 plus two days worth (16) = 112

Hope this helps!

p.s. you could just do 8 times 14, but that's not as fun. ;)

Answer:

D

Step-by-step explanation:

Got it right edge2021

Answer:

a

Step-by-step explanation:

(-3,-1)

The average speed formula is given by:

\(\displaystyle\sf \text{Average Speed} = \frac{\text{Total Distance}}{\text{Total Time}}\)

Let's calculate the total distance first. The car travels 120 miles from point A to point B, and then returns the same distance. Therefore, the total distance is \(\displaystyle\sf 2 \times 120 = 240\) miles.

Now, let's calculate the total time. The time taken to travel from A to B can be calculated using the formula \(\displaystyle\sf \text{Time} = \frac{\text{Distance}}{\text{Speed}}\).

For the journey from A to B:

\(\displaystyle\sf \text{Time}_1 = \frac{120}{30} = 4\) hours

For the return journey from B to A:

\(\displaystyle\sf \text{Time}_2 = \frac{120}{40} = 3\) hours

The total time for the round trip is the sum of the individual times:

\(\displaystyle\sf \text{Total Time} = \text{Time}_1 + \text{Time}_2 = 4 + 3 = 7\) hours

Now, we can calculate the average speed:

\(\displaystyle\sf \text{Average Speed} = \frac{\text{Total Distance}}{\text{Total Time}} = \frac{240}{7} \approx 34.29\) miles per hour.

Therefore, the average speed for the round trip is closest to 34.29 miles per hour.

Adjoa’s gross salary for last month was Ghc4,687.24. If Ghc421.78 was deducted from Adjoa’s salary pay, the take-home pay that Adjoa earn in the past month is Ghc4,265.46

The gross salary is the amount received by an individual prior to the deduction of the taxes.

Given that:

Then, the take-home that Adjoa earned in the past month is calculated by removing the amount deducted from her gross salary.

i.e.

= Ghc4687.24 - Ghc421.78

= Ghc4,265.46

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The domain of the composite functions:

a). (f + g)(-2) = 23

b). (f - g) (-2) = 1

c). f(x) - g(x) = x² - 5x - 13

A function is composite when the co- domain of the first mapping is the domain of the second mapping

Given the functions f(x) = x² - 4x and g(x) = x + 13, we shall evaluate the domains of the functions as follows:

a). (f + g)(-2) = (-2)² - 4(-2) + (-2) + 13

(f + g)(-2) = 4 + 8 - 2 + 13

(f + g)(-2) = 23

b). (f - g) (-2) = (-2)² - 4(-2) - (-2) - 13

(f - g)(-2) = 4 + 8 + 2 - 13

(f - g) (-2) = 1

c). f(x) - g(x) = x² - 4x - x - 13

f(x) - g(x) = x² - 5x - 13

Therefore, the domain of the composite functions:

a). (f + g)(-2) = 23

b). (f - g) (-2) = 1

c). f(x) - g(x) = x² - 5x - 13

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Answer:

D

Step-by-step explanation:

I don´t really understand.

I am so sorry!

Answer:

11kilometers = 11000 meters

Hi there!  

»»————-　★　————-««

I believe your answer is:  

11,000

»»————-　★　————-««  

Here’s why:  

⸻⸻⸻⸻

\(1000 * 11 = \boxed{11000}\)

⸻⸻⸻⸻

There are 11,000 meters in 11 kilometers.

»»————-　★　————-««  

Hope this helps you. I apologize if it’s incorrect.  

Answer:

its below

Step-by-step explanation:

Part A: 52.29

Part B: the top box is 52.29, the longer box under is 34. 80 and the smaller one is 17.49

The cotangent of the angle θ  is 2√3/3

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

sec θ = √7/2

To calculate the cotangent of the angle, we use the following identity

1 + tan² θ = sec² θ

So, we have

1 + tan² θ = (√7/2)²

Evaluate the exponent

1 + tan² θ = 7/4

Subtract 1 from both sides

tan² θ = 3/4

So, we have

tan θ = √3/2

Take the inverse of both sides

cot θ = 2/√3

Rationalize

cot θ = 2√3/3

Hence, the cotangent of the angle is 2√3/3

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