James enjoys spending money at the hardware store. He bought a wrench for $9.14, a nail gun for $54.48, and a pound of nails for $6.98. How much change did James get if he paid with a hundred-dollar bill? *​

Answer:

5/14

Step-by-step explanation:

1/7 = 2/14

2/14 + 3/14 = 5/14

Answer:

5/14

Step-by-step explanation:

1/7 = 2/14

2/14 + 3/14  = 5/14

The total pounds of trash is 4500 pounds. Then the number of trips that will take for the Jones Company to remove all of the trash will be 9.

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

Each truck from Jones Expulsion Organization can pull 500 pounds of waste at a time. On Wednesday, the organization has tasks to eliminate 1,500 pounds of garbage from one site, 500 from another site, and 2,500 from a third site.

The total pounds of trash is given as,

⇒ 1500 + 500 + 2500

⇒ 4500 pounds

The number of trips will it take for the Jones Company to remove all of the trash will be given as,

⇒ 4500 / 500

⇒ 9

The total pounds of trash is 4500 pounds. Then the number of trips that will take for the Jones Company to remove all of the trash will be 9.

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Answer:

Step-by-step explanation:

5³ = 5×5×5

Answer:

C. Vertex (−3, 3); Range 3 ≤ y ≤ ∞

Step-by-step explanation:

The graph of a quadratic function h(x) is symmetric about the axis of symmetry.

The axis of symmetry is a vertical line that divides the parabola into two congruent halves and passes through the vertex.

The axis of symmetry is the x-value of the vertex.

From the table of values, we can see that the y-values of function h(x) are symmetric either side of h(x) = 3. Therefore, the axis of symmetry is x = -3 and the vertex is (-3, 3).

The range of a function is the set of all possible output values (y-values).

From the table, we can see that the minimum y-value is y = 3, so the range of the function is therefore 3 ≤ y ≤ ∞.

Answer:

- 1/9

Step-by-step explanation:

So when you want to multiply fractions, you first one to simplify everything, and then multiply the top row and the bottom row:

- 2/3 * 1/6 <-- in this expression, we can simplify the 2 and the 6 to become a 1 and a 3 so:

- 1/3 * 1/3: Now we want to multiply the 1 and 1 and the 3 by 3:

1 * 1 = 1; 3 * 3 = 9;

1/9 is actually not our answer yet. We still have to add the negative to it so:

- 1/9 is your answer

Hope this helps! <3

Answer:

-1/9

Step-by-step explanation:

Given problem,

→ (-2/3) × (1/6)

Let's solve the problem,

→ (-2/3) × (1/6)

→ (-2 × 1)/(3 × 6)

→ -2/18 = -1/9

Thus, the answer is -1/9.

The domain and the range of the function are

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

The graph

The graph is a piecewise function

When combined gives an absolute function

The rule of a function is that

The domain is the set of all real numbers

This means that the input value can take all real values

However, the range is greater than the constant term

In this case, it is 0

So, the range is y > 0

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Question

The graph represents the piecewise function:

f(x) =

What is the domain and range of the function

Each function on the left should be matched to all points on the right that would be located on the graph of the function as follows;

f(x) = 2x + 2         ⇒   (0, 2).

f(x) = 2x² - 2        ⇒   (-1, 0).

\(f(x) = 2\sqrt{x+1}\)   ⇒   (0, 2).

In Mathematics and Geometry, a function is a mathematical equation which defines and represents the relationship that exists between two or more variables such as an ordered pair in tables or relations.

Next, we would determine the point or ordered pair that represent a solution on the graph of each of the function as follows;

For the ordered pair (0, 2), we have:

f(x) = 2x + 2

2 = 2(0) + 2

2 = 2 (True).

For the ordered pair (-1, 0), we have:

f(x) = 2x² - 2

0 = 2(-1)² - 2

0 = 2 - 2

0 = 0 (True).

For the ordered pair (0, 2), we have:

\(f(x) = 2\sqrt{x+1}\\\\2= 2\sqrt{0+1}\\\\2 = 2\sqrt{1}\)

2 = 2 (True).

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Answer:

20

Step-by-step explanation:

Answer:

20

Step-by-step explanation:

10% of 200 is 20 :)

Answer: B

Step-by-step explanation:

1825/25=73

73*2=146

146

(a) The Poisson approximation is 0.019 and the binomial probability is 0.134. (b) The Poisson approximation is 0.187 and the binomial probability is 0.039. (c) The Poisson approximation is 0.135 and the binomial probability is 0.348. (d) The Poisson approximation is 0.167 and the binomial probability is 0.206.

(a) The Poisson approximation is

P(X=2) =\((e^(-0.8)*(0.8^2))/2!\)

= 0.019.

The binomial probability is

P(X=2) = \((8C2)*(0.1^2)*(0.9^6)\)

= 0.134.

(b) The Poisson approximation is

P(X=9) = \((e^(-9.5)*(9.5^9))/9!\)

= 0.187.

The binomial probability is

P(X=9) = \((10C9)*(0.95^9)*(0.05^1)\)

= 0.039.

(c) The Poisson approximation is

P(X=0) = \((e^(-1)*(1^0))/0! = 0.135.\)

The binomial probability is

P(X=0) = \((10C0)*(0.1^0)*(0.9^10)\)

= 0.348.

(d) The Poisson approximation is

P(X=4) = \((e^(-1.8)*(1.8^4))/4!\)

= 0.167.

The binomial probability is

P(X=4) = \((9C4)*(0.2^4)*(0.8^5)\)

= 0.206.

The Poisson approximation is used when the number of trials is large and the probability of success is small. It is a good approximation for the binomial distribution in these cases. When n is smaller and p is larger, the Poisson approximation is not as accurate. In the cases provided, the Poisson approximation is close to the binomial probability when n is small and p is small, but it is not as accurate when n is larger and p is closer to 1. The Poisson approximation is always smaller than the binomial probability.

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Cultural sensitivity is crucial in elder care. Cultural beliefs impact elderly care. A foreign-raised nursing student desires to care for her mother and sisters until her mother's passing.

Consider cultural values: Students from certain backgrounds may see caring for their elderly parents as a moral duty. Respecting elder beliefs is critical in discussing care options. Have open, non-judgmental communication with the nursing student. Show empathy and listen to her perspective.

Educate the nursing student about caring for a loved one with medical and psychiatric problems. Explain physical, emotional, and financial consequences, including effects on relationships and responsibilities.

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The equation that represent scenario 1 is y = 15x while the equation that represent scenario 2 is y = 5x + 20

An equation is an expression that shows the relationship between two or more numbers and variables.

Let x represents the number of months and y represents the total charge.

Scenario 1: DesTunes charges adults $15 per month.

Hence:

y = 15x

Scenario 2: DesTunes charges students a $20 sign-up fee and $5 per month, hence;

y = 5x + 20

The equation that represent scenario 1 is y = 15x while the equation that represent scenario 2 is y = 5x + 20

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Answer:

y = -3x

General Formulas and Concepts:

Algebra I

Slope-Intercept Form: y = mx + b

Step-by-step explanation:

Step 1: Define

Slope m = -3

y-intercept b = 0

Step 2: Write function

y = -3x

Answer: Half of them are even and half of them are odd.

Step-by-step explanation:

The even numbers are 6, 12, 18, 24, and 30. An even number is defined as a number that is divisible by 2, meaning it has no remainder when divided by 2. For example, 6 divided by 2 equals 3 with no remainder, so 6 is even.

The odd numbers are 3, 9, 15, 21, and 27. An odd number is defined as a number that is not divisible by 2, meaning it has a remainder of 1 when divided by 2. For example, 9 divided by 2 equals 4 with a remainder of 1, so 9 is odd.

Therefore, out of the given numbers, half of them are even and half of them are odd.

________________________________________________________

Answer:

The graph that represents the solution to X > 1/2 is the graph where the line is vertical, passing through x = 1/2, and all the points to the right of this line are shaded. This is because the inequality X > 1/2 means that X can take any value greater than 1/2, but not including 1/2.

Answer:

-32ft

Step-by-step explanation:

Given parameters:

Original depth of the submarine  = -18ft

New depth  = -50ft

Unknown:

Change in depth = ?

Solution:

 The change in depth will be the difference in depth between the new and original depth.

 Change in depth = New depth  - original depth

  Change in depth  = -50ft - (-18ft) = -32ft

The change in depth of the submarine is -32ft.

Given statement solution is :- It takes 4 months to pay off the card, and the total amount paid, including interest, is $1600.

To determine the number of months it takes to pay off the credit card and the total amount paid, including interest, we can follow these steps:

Step 1: Calculate the monthly interest rate.

The APR (Annual Percentage Rate) is given as 9.5%. To find the monthly interest rate, we divide this by 12 (the number of months in a year):

Monthly interest rate = 9.5% / 12 = 0.0079167

Step 2: Determine the monthly payment.

The monthly payment is given as $400.

Step 3: Calculate the interest and principal paid each month.

The interest paid each month can be calculated by multiplying the monthly interest rate by the current balance.

Principal paid = Monthly payment - Interest paid

Step 4: Track the remaining balance each month.

Starting with the initial balance of $1,367.90, subtract the principal paid each month to determine the new balance.

Step 5: Repeat Steps 3 and 4 until the balance reaches zero.

Continue calculating the interest and principal paid each month, updating the balance, until the remaining balance becomes zero.

Step 6: Determine the total number of months and the total amount paid.

Count the number of months it takes to reach a balance of zero. Multiply the number of months by the monthly payment ($400) to find the total amount paid.

Let's calculate the number of months and the total amount paid, including interest:

Month 1:

Interest paid = 0.0079167 * $1,367.90 = $10.84

Principal paid = $400 - $10.84 = $389.16

New balance = $1,367.90 - $389.16 = $978.74

Month 2:

Interest paid = 0.0079167 * $978.74 = $7.75

Principal paid = $400 - $7.75 = $392.25

New balance = $978.74 - $392.25 = $586.49

Month 3:

Interest paid = 0.0079167 * $586.49 = $4.64

Principal paid = $400 - $4.64 = $395.36

New balance = $586.49 - $395.36 = $191.13

Month 4:

Interest paid = 0.0079167 * $191.13 = $1.51

Principal paid = $400 - $1.51 = $398.49

New balance = $191.13 - $398.49 = -$207.36 (Paid off)

It takes 4 months to pay off the credit card. Now, let's calculate the total amount paid, including interest:

Total amount paid = 4 * $400 = $1600

Therefore, it takes 4 months to pay off the card, and the total amount paid, including interest, is $1600.

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Answer:

The correct answer is B: Saturday.

The relationship between Monday and Thursday is that they are two days apart in a typical Monday-to-Sunday week. Similarly, Friday is also two days apart from Tuesday in a typical week, so the relationship between Friday and Tuesday would be the same as the relationship between Monday and Thursday. Therefore, the correct answer is B: Saturday.

The answer for blanks in statements are, an x-intercept of 1 , -3, x>1 , increasing , 7.5.

Many mathematical and real-world phenomena are described by functions. Modeling real-world occurrences like population increase, interest rates, or physical motion is frequently done using them. There are many distinct features that functions can have, including continuity, differentiability, and periodicity. Functions can also be linear or nonlinear.

The domain and range of functions are crucial components. The set of all potential input values makes up the domain of a function, whereas the set of all possible output values makes up the range. The behaviour of a function, such as whether it is increasing, decreasing, or constant, can also be used to categorize it. A function's graph shows the relationship between its input and output values graphically.

Function h has an x-intercept of 1 and a y-intercept of -3.  The function is positive for x>1 and increasing on all intervals of x. The average rate of change for the function on the interval [0, 2] is 7.5

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Answer:

2×2×2×7

Step-by-step explanation:

if you multply 2×2 it is 4×2=8×7=56

backward is easy 7×2= 14×2= 28×2=56

2 × 2 × 2 × 7 is the prime factorization of the number 56.

Given that,
To determine the number whose prime factorization is given as 2 x 2 x 2 x 7.

Factors can be defined by splitting the value into multipliable values.

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
Prime factorization of the number are a multiplicable number that consists of the prime numbers only,
According to the question,
2 x 2 x 2 x 7  = 56

Thus,  2 × 2 × 2 × 7 is the prime factorization of the number 56.

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The cost of the 20-year term insurance will be based on age, health, smoking, and other factors to determine the premium.

The cost of a special fully discrete 20-year term insurance on a 30-year-old would depend on a range of factors, including the insured's age, health, smoking status, and lifestyle. These factors would be used to calculate the risk of death during the 20-year term. The death benefit of 1,000 during the first ten years and 2,000 during the next ten years would also be taken into account when calculating the cost of the policy. Depending on the risk of death and the death benefits, the premium could vary significantly. For example, a 30-year-old in good health with no smoking history could pay less for the policy than a 30-year-old with a pre-existing condition and a smoking history. The premium could also be higher for individuals with riskier lifestyles. Ultimately, the cost of the 20-year term insurance will depend on the risk of death and the death benefit offered by the policy.

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The time taken for the trip will be 12.7 hours.

It should be noted that time taken is calculated as:

Time = Distance / Speed

Distance = 700 miles

Speed = 55 mph

Time = 700/55

Time = 12.7 hours.

Therefore, the time taken for the trip will be 12.7 hours.

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Answer:

It spends 20 years asleep.

Step-by-step explanation:

5/6 of 24 is 20

To find the value of (f o g)' at a given value, you first need to understand the concept of composite functions and the chain rule of differentiation. Let's break it down step by step.

To find the value of (f o g)' at a given value, you need to evaluate g(x) and f(x), find their derivatives, and use the chain rule to find the derivative of (f o g) at the given value. It is important to understand the concepts of composite functions and the chain rule to be able to solve problems involving these concepts.

What are composite functions? Composite functions are functions that are formed by composing two or more functions. The notation used to denote composite functions is (f o g)(x), which means that the output of function g is used as the input for function f. In other words, we first evaluate g(x), and then use the result as the input for f(x).

What is the chain rule of differentiation? The chain rule of differentiation is a method used to find the derivative of composite functions. It states that if a function is composed of two or more functions, then its derivative can be found by taking the derivative of the outer function and multiplying it by the derivative of the inner function.

To find the value of (f o g)' at a given value, we need to follow these steps:1. Find g(x) and f(x)2. Find g'(x) and f'(x)3. Evaluate g(x) at the given value4. Use the chain rule to find (f o g)' at the given value

step 1: Find g(x) and f(x)Let's say that we have two functions: g(x) = x^2 + 3x + 1 and f(x) = sqrt(x). To find (f o g)(x), we first need to evaluate g(x) and then use the result as the input for f(x). Therefore, (f o g)(x) = f(g(x)) = sqrt(x^2 + 3x + 1)

Step 2: Find g'(x) and f'(x)To find g'(x), we need to take the derivative of g(x) using the power rule and the sum rule. Therefore, g'(x) = 2x + 3To find f'(x), we need to take the derivative of f(x) using the power rule and the chain rule. Therefore, f'(x) = 1/2(x)^(-1/2)

Step 3: Evaluate g(x) at the given valueSuppose we want to find (f o g)' at x = 2. To do this, we need to first evaluate g(x) at x = 2. Therefore, g(2) = 2^2 + 3(2) + 1 = 11

Step 4: Use the chain rule to find (f o g)' at the given value now we can use the chain rule to find (f o g)' at x = 2. Therefore, (f o g)'(2) = f'(g(2)) * g'(2) = 1/2(11)^(-1/2) * (2)(3) = 3/sqrt(11)

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Answer: D ( sorry if i get it wrong but i tried)

Step-by-step explanation:

Answer:

so it's D

Step-by-step explanation:

sorry for copying i just need brainly crowns i lost all of them

Answer: 142825

Step-by-step explanation:

If \(t\) is the number of years, then the population is \(P(t)=100000(1.02)^t\).

Setting \(t=18\). \(P(18)=100000(1.02)^{18} \approx 142825\).