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Answer:

$12.60

Step-by-step explanation:

Answer:

12.60

Step-by-step explanation:

9 dollars divided by 5 lightbulbs is 1.8

so 1.80 dollars × 7 lightbulbs = 12.60

9÷5=1.8

1.8×12.60

A) 35. 8 million; thirty-five million eight hundred thousand, or thirty-five million eight hundred thousand dollars ,(b)115. 2 thousand; one hundred and fifteen thousand two hundred.(c) 97.8 million eight hundred thousand; 97.8 million eight hundred thousand. or 978 million.

What significance do numbers have?

We need good numeracy skills as parents to assist our children to develop, as patients to grasp healthcare information, and so as politicians to make sense of numbers and economic news. Selections in life were frequently based upon numerical data; in order to arrive at optimal decisions, we must be good at maths.

How are numbers used in everyday life?

Numbers are utilized in a variety of mathematical operations such as summation, subtraction, multiplication, division, percentage, and so on, that we employ in the everyday companies and exchanges. Quantities are numerical symbols representing integers that may be used for numbering, estimating, and doing other arithmetic operations.

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After 15 years, the scholarship fund will have approximately $1,076,123.79. The total interest earned over this period will be approximately $826,123.79.

To calculate the value of the annuity after 15 years, we need to use the formula for the future value of an annuity:

FV = P * [(1 + r)^n - 1] / r

Where:

FV = Future Value

P = Periodic Payment (amount invested every three months)

r = Interest rate per compounding period

n = Number of compounding periods

In this case, the periodic payment (P) is $25,000, the interest rate (r) is 11.5% per year compounded quarterly (or 2.875% per quarter), and the number of compounding periods (n) is 15 years multiplied by 4 (since compounding is done quarterly). Therefore:

FV = $25,000 * [(1 + 0.02875)^(15*4) - 1] / 0.02875

≈ $1,076,123.79

The interest earned can be calculated by subtracting the total amount invested ($25,000 per quarter multiplied by the number of quarters in 15 years) from the future value:

Interest = FV - Total amount invested

= $1,076,123.79 - ($25,000 * 4 * 15)

≈ $826,123.79

Therefore, after 15 years, the scholarship fund will have approximately $1,076,123.79, and the total interest earned will be approximately $826,123.79.

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Answer:

2.5/10 = 0.25 cents per ounce

the rule for division is:

Then:

you will substract the exponents

One x- value of the solution is : -2 or -8

An Equation is an algebraic statement that shows that two quantities are equal.

Analysis:

for one x-value of a solution, f(x) = g(x)

\(x^{2}\) + 7x -24 = -3x - 40

\(x^{2}\) +7x +3x -24 +40 = 0

\(x^{2}\) + 10x +16 = 0

\(x^{2}\) +8x +2x +16 = 0

x(x+8) +2(x+8) = 0

(x+2)(x+8) = 0

x = -2 or -8

In conclusion, the values of x are -2 or -8

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In the problem,

the given system of linear equations are 10x1 - 7x2 = 7 ...

(i)-3x1 +2.099x2 + 3x3 = 3.901 ...

(ii)5x1 - x2 +5x3 = 6 ...

(iii)Now, the solution of the system of equation using Gauss elimination with partial pivoting with five significant digits with chopping leads to the following solution:

x1 = 1.8975, x2 = 1.6677, x3 = 2.00088So, option (d) x1 = 1.8975, x2 = 1.6677, x3 = 2.00088 is the correct answer. Therefore, option (d) is the right option.

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Answer:

5.2 degrees the mountain slope forms with the ground at sea level

The angle that the mountain slope forms with the ground at sea level is 20.64°

"The distance covered by an object in unit time."

"The longest side of a right triangle."

"In a right triangle for angle θ ,

sin(θ) = opposite side / hypotenuse "

For given example,

Consider the following figure for given example.

Sam starts skiing at the peak 97 yards above sea level.

⇒ XY = 97 yards

He skis down the mountain at a rate of 1.5 yards per second.

⇒ speed = 1.5 yards per second

It takes him 3 minutes to reach flat ground at sea level.

⇒ t = 3 minutes

⇒ t = 180 seconds

XZ is the distance between peak of a mountain and the ground.

Using speed formula,

⇒ speed = XZ / times

⇒ 1.5 = XZ / 180

⇒ XZ = 1.5 × 180

⇒ XZ = 270 yards

This means the hypotenuse of right triangle XYZ is 270 yards.

Now, we need to find the angle that the mountain slope forms with the ground at sea level.

\(\Rightarrow sin(\theta)=\frac{XY}{XZ}\\\\\Rightarrow sin(\theta)=\frac{97}{270}\\\\ \Rightarrow sin(\theta)=0.3526\\\\ \Rightarrow \theta = sin^{-1}(0.3526)\\\\\Rightarrow \theta=20.64^{\circ}\)

Therefore, the angle that the mountain slope forms with the ground at sea level is 20.64°

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Answer:

65

Step-by-step explanation:

2x = 180 - (25 +25) (angles of a triangle sum up to 180)

2x = 180 - 50

2x = 130

x = 130/2

x = 65

The height of the tree and its shadow, and the height of the person and its shadow, at the same time of the day, form two similar right triangles:

Since both triangles are similar, then the corresponding sides are at the same ratio so that:

From this expression, you can determine the height of the tree, just multiply both sides of the equal sign by 5:

The height of the tree is 15 feet.

Jeff's house is located at the point (5, -4). It's important to be detailed in following the directions given and using the coordinate grid accurately to arrive at the correct answer.

To determine the location of Jeff's house, we need to start at Jeff's school and then move four units east and seven units south. Using the coordinate grid, we can see that moving four units east will bring us to the point (5,3). From there, moving seven units south will bring us to the point (5, -4). Therefore, Jeff's house is located at the point (5, -4). It's important to be detailed in following the directions given and using the coordinate grid accurately to arrive at the correct answer.

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1.if tip included in fare, total amount paid by Angela =(55$/x) +8$

if tip is not included in fare than total amount paid by angela = (63$/x)+8$

Explanation :-

According to qus

Total friends included Angela = x

Total fare paid by them =63$

If tip included in total fare, than total fare without tip=63-8

= 55$

Sothat,

amont paid by individual =total fare /total friends. 55$/x

If tip not include in total fare than total amount paid by individual =63$/x

Using it's concept, it is found that the desired probability is given as follows:

P(Head, Diamond AND Head, Heart) = 1/64.

A probability is given by the number of desired outcomes divided by the number of total outcomes.

In this problem, for each trial, there are 8 equally as likely outcomes, hence:

Hence the probability of both outcomes is given by:

P(Head, Diamond AND Head, Heart) = 1/8 x 1/8 = 1/64.

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Answer:

The answer is 21/40

Step-by-step explanation:

Hope that helps!

Remember that a population parameter is a number that describes something about an entire group or population.

The only study that states a conclusion about an entire group or population is the one in the first option.

Answer: Option 1

We have constructed an example of a quasi-increasing sequence that is neither monotone nor eventually monotone.

Sure, let's construct an example of a quasi-increasing sequence that is not monotone or eventually monotone. Consider the sequence defined as follows:

a_n = 1 + 1/n for n = 1, 2, 3, ...

Now, let's see if this sequence is quasi-increasing. For any ε > 0, we can choose an n such that n > 1/ε. Now, if m ≥ n, then:

a_m = 1 + 1/m ≤ 1 + 1/n < 1 + ε = a_n + ε

This shows that for any ε > 0, there exists an n such that whenever n > m ≥ n, it follows that a_m < a_n + ε. Hence, the sequence (a_n) is quasi-increasing.

Now, let's check if it is monotone or eventually monotone. The sequence (a_n) starts with a_1 = 2, a_2 = 3/2, a_3 = 4/3, and so on. It is clear that the sequence is not strictly increasing, as a_2 = 3/2 < a_1 = 2. Also, the sequence is not strictly decreasing, as a_3 = 4/3 > a_2 = 3/2.

Moreover, the sequence does not become eventually monotone. For any value of N, we can always find a larger index equation n > N such that a_n = 1 + 1/n < a_N = 1 + 1/N. Therefore, the sequence (a_n) is not eventually monotone.

Thus, we have constructed an example of a quasi-increasing sequence that is neither monotone nor eventually monotone.

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Answer:

its 9.33 reapetting or just 9.33

Step-by-step explanation:

The ambassador was entertained lavish by Hartwright, whose company.

The correct option is A.

Monetary interest -

Is interest a monetary policy?

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Answer:

18.) 10x

20.) k - 24

22.) 12 - 9

Step-by-step explanation:

Step-by-step explanation:

x + 3 > 5

subtract 3 from both sides:

x + 3 - 3 > 5 - 3

x > 2

Use the third ray (from left) and place the ball end on 2.

Answer:

your answer is (B) -2 & -3

Answer:

45 cm

i took the test

Answer:

Step-by-step explanation:

Answer:

-2.4

Step-by-step explanation:

Answer:

area = 232.5

perimeter=71.243

Answer

5

Step-by-step explanation:

Pls give brainliest to me

Answer: x = 5

Step-by-step explanation:

4x + 3 = x + 18

- 3 - 3

4x = x + 15

Do 4x-x and x-x

3x = 15

Do 3x/3 and 15/3

x= 5

Answer:not sure how to answer this but logically unless your coin is tampered with to put the odds in your favor then no you don't risk it because your playing fair if that makes sense, sorry i tried my best but you didn't give me all of the information.

Step-by-step explanation:

Complete Question

The diagram for this question is shown on the first uploaded image

Answer:

The length of a training track running around the field is  \(Z = 377.54 \ m\)

Step-by-step explanation:

From the question we are told that

      The length of the field is  \(L= 93 \ m\)

       The width of the field is  \(W = 61 \ m\)

The length of the two semicircle is mathematically evaluated as

          \(A = 2 * \pi * \frac{W}{2}\)

substituting values

          \(A = 2 *3.142 * \frac{61}{2}\)

         \(A = 191.54 \ m\)

Now the length of a training track running around the field is

       \(Z = A + 2 L\)

  substituting values

       \(Z = 191.54 + 2 (93)\)

       \(Z = 377.54 \ m\)

The exact value of cscθ is (35 * √(1190)) / 1190.

To find the value of cscθ (cosecant θ) given that cosθ = 1/√35 and sinθ < 0, we can use the reciprocal relationship between sine and cosecant.

Recall that cscθ is the reciprocal of sinθ. Since sinθ is negative, we can determine its value based on the quadrant in which θ lies.

In the unit circle, the cosine is positive in the first and fourth quadrants, while the sine is negative in the third and fourth quadrants.

Given that cosθ = 1/√35 and sinθ < 0, we can conclude that θ lies in the fourth quadrant.

Using the Pythagorean identity, sinθ = √(1 - cos^2θ), we can calculate the value of sinθ:

sinθ = √(1 - (1/√35)^2)

     = √(1 - 1/35)

     = √(34/35)

     = √34 / √35

     = (√34 / √35) * (√35 / √35)     [Multiplying numerator and denominator by √35 to rationalize the denominator]

     = √(34 * 35) / 35

     = √(1190) / 35

Now, since cscθ is the reciprocal of sinθ, we have:

cscθ = 1 / sinθ

     = 1 / (√(1190) / 35)

     = 35 / √(1190)

     = (35 * √(1190)) / 1190.

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Answer:first one infinently

Step-by-step explanation:

The solution of the equation are:

1. 6(x-3)+4x=5(2x-4)-2 → No solution.

2. 2 − 6 − 3 = 5 − (4 + 2) → No solution.

3. 6(x - 2) + 8 = 3(2x - 4) → No solution.

4. 4x + 8 - 6x + 12 = 3(x + 7) - 5x - 1 → One solution.

1. 6(x-3)+4x=5(2x-4)-2

Step 1: Distribute the numbers outside the parentheses:

\(\(6x - 18 + 4x = 10x - 20 - 2\)\)

Step 2: Combine like terms:

\(\(10x - 18 = 10x - 22\)\)

Step 3: Isolate the variable on one side:

10x - 10x = -22 + 18

0 = -4

The equation 0 = -4 is not true.

It means that the variable x has canceled out, and both sides of the equation are not equal.

So, there is no solution for this equation.

2. 2 − 6 − 3 = 5 − (4 + 2)

Step 1: Perform operations inside parentheses and simplify:

2 - 6 - 3 = 5 - 6

Step 2: Continue simplifying:

-7 = -1

The equation -7 = -1 is not true.

So, there is no solution for this equation.

3. \(\(6(x - 2) + 8 = 3(2x - 4)\)\)

Step 1: Distribute the numbers outside the parentheses:

\(\(6x - 12 + 8 = 6x - 12\)\)

Step 2: Combine like terms:

6x - 4 = 6x - 12

Step 3: Isolate the variable on one side:

6x - 6x = -12 + 4

0 = -8

The equation 0 = -8 is not true.

So, there is no solution for this equation.

4. \(\(4x + 8 - 6x + 12 = 3(x + 7) - 5x - 1\)\)

Step 1: Combine like terms on each side of the equation:

-2x + 20 = 3x + 20 - 1

Step 2: Continue simplifying:

-2x + 20 = 3x + 19

Step 3: Isolate the variable on one side:

-2x - 3x = 19 - 20

-5x = -1

Step 4: Solve for x:

\(\(x = \dfrac{-1}{-5} = \dfrac{1}{5}\)\)

The equation  \(x = \dfrac{1}{5}\) is true, which means that the variable x has a unique value that satisfies the equation.

So, there is one solution for this equation.

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