Subtract the sum of -52 and - 638 from the sum of - 29 and 303 the value is

Answer:

Step-by-step explanation:

x + 9 = -16

Subtract 9 form both sides

x + 9 - 9 = - 16 - 9

x = -25

Answer:

X= -25

Step-by-step explanation:

Subtract 9 from both sides.

Each graph identified above are described below.

For the fundamental function h(x) = 2x:

f(x) = -h(  x) represents te x-axis graph of h(x). When C   is greater than 0, the f(x ) graph is always below the x-axis and approaches 0 as x approaches negative infinity. The graph of f( x) approaches negative infinity as x approaches positive infinity.

As a result, for C > 0, the f(x) graph is always declining and concave down.

g( x) = h(x - 0) moves the h(x) graph to the right by 0 units. When C is 0, the g(x) graph is always above the x-axis and approaches 0 as x approaches positive infinity. The graph of g( x) approaches positive infinity as x approaches negative infinity.

As a result, for C 0, the g(x) graph is constantly growing and concave up.

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The closest answer to the total amount of the mortgage is option D: $351,226.80.

What is percentage?

Percentage is a way of expressing a number as a fraction of 100. It is denoted by the symbol "%". The term "percent" comes from the Latin word "per centum", which means "per hundred".

To calculate the total amount of the mortgage, we need to first calculate the amount of each mortgage.

For the first (80%) mortgage, we can calculate the amount by multiplying the house price by 80%:

$175,000 x 0.80 = $140,000

For this mortgage, we have a 30-year fixed rate of 4.75%. We can use an online mortgage calculator or formula to calculate the monthly payment:

M = P [ i(1 + i)^n ] / [ (1 + i)^n – 1]

where:

M = monthly payment

P = principal (amount of the loan)

i = interest rate per month (annual rate divided by 12)

n = total number of payments (number of years multiplied by 12)

Using this formula, we get:

M = $140,000 [ 0.0475/12 (1 + 0.0475/12)^360 ] / [ (1 + 0.0475/12)^360 – 1]

M = $755.67

For the second (20%) mortgage, we can calculate the amount by multiplying the house price by 20%:

$175,000 x 0.20 = $35,000

For this mortgage, we have a 30-year fixed rate of 7.525%. Using the same formula as above, we get:

M = $35,000 [ 0.07525/12 (1 + 0.07525/12)^360 ] / [ (1 + 0.07525/12)^360 – 1]

M = $250.09

To calculate the total amount of the mortgage, we simply add the two monthly payments:

$755.67 + $250.09 = $1,005.76

Finally, we multiply this monthly payment by the total number of payments (30 years multiplied by 12 months per year) to get the total amount of the mortgage:

$1,005.76 x 360 = $361,475.77

Therefore, the closest answer to the total amount of the mortgage is option D: $351,226.80.

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The given sequence an = \((-1)^n(sqrt(n)/(2n+3))\) diverges.

To determine whether the sequence converges or diverges, we can examine its behavior as n approaches infinity. In this case, the sequence an =\((-1)^n(sqrt(n)/(2n+3))\) exhibits alternating signs due to the term \((-1)^n\). However, the other part of the sequence, (sqrt(n)/(2n+3)), does not approach a fixed value as n increases.

As n grows larger, the numerator sqrt(n) increases without bound, while the denominator 2n+3 also increases. Consequently, the ratio (sqrt(n)/(2n+3)) oscillates between positive and negative values without settling on a specific limit. Since the sequence does not converge to a finite value, it is considered divergent.

In divergent sequences, there is no single value toward which the terms of the sequence converge as n approaches infinity. The alternating nature of the terms \((-1)^n\) further confirms that the sequence does not have a definite limit.

In conclusion, the given sequence an =\((-1)^n(sqrt(n)/(2n+3))\) diverges, indicating that it does not approach a finite limit as n tends to infinity.

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Answer:

The difference between the bonus is £2.6

Step-by-step explanation:

First, you have to calculate the amount that Tom get for his bonus. So you have to multiply 30% to £96 :

\( \frac{30}{100} \times 96 = 28.8\)

Next, you have to subtract Tom's amount from Sally's amount because Sally has the higher amount of bonus than Tom :

\(31.4 - 28.8 = 2.6\)

Answer:

32. 74

Step-by-step explanation:

Round money monetary answers to the nearest cent. ... using the Distributive Property and explain each step. ... Alison has $9.70 in dimes and quarters. ... It takes him 2.4 hours to get to Seattle, driving at 15 miles per hour faster than the.

Answer:

175\(mm^{2}\)

Step-by-step explanation:

Just divide the larger one by 7 because the scaled one is 1/7 the size of the larger one:

1225 ÷ 7 = 175

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Answer:

175

Step-by-step explanation:

Answer:

Step-by-step explanation:

10m=70

10m/10=70/10

m=7

Answer:

70/10

Step-by-step explanation:

You have to divide the amount he earned by the amount he earns per lawn to find how many lawns he mowed. 70/10=7

Answer:

19

Step-by-step explanation:

The area of the region bounded by the graphs of y = x, y = 6 − 2x, and y = 0 is 3 units.

An integral is the continuous analog of a sum, which is used to calculate areas, volumes, and their generalizations. Integration, the process of computing an integral, is one of the two fundamental operation of calculus, the other being differentiation.

Given that, the area of the region bounded by the graphs of y = x, y = 6 − 2x, and y = 0.

The area between two curves :-

Let x = f(y) and x = g(y) be the two continues function of y on [c, d] and f(y) ≥ g(y) for the y in [c, d].

The area A between the curves x = f(y) and x = g(y) from y = c to y = d is,

A = \(\int\limits^d_c| {f(x)-g(x)|} \, dy\)

Finding the intersection point :-

y = x = 6-2x

3x = 6

x = 2, y = 2

The y-coordinates are y = 0 to y = 2

Finding the area by using the concept of integral,

x = y, x = 3-y/2

x = 3-y/2 ≥ x=y

For

0 ≤ y ≤ 2

Therefore, the region =

x = 3-y/2, x=y from y=0 to 2

A = \(\int\limits^2_0 {[(3-y/2)-y]} \, dy\)

= \(\int\limits^2_0 {[(3-3y/2]} \, dy\)

= [(3y-3y²/4)\(]^2_{0}\)

= [3(2)-3/4(2)²] -[3(0)-3/4(0)²]

= 3-0

= 3

Hence, the area of the region bounded by the graphs of y = x, y = 6 − 2x, and y = 0 is 3  units.

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A number z divided by 2 is at least -6 is expressed as z ÷ 2 = ≥ -6

One of the fundamental arithmetic operations in mathematics is the division, which is the process of dividing a group of items into equal parts. Every day, we might use the division technique in various situations.

One of the four fundamental arithmetic operations, or how numbers are combined to create new numbers, is division. The additional operations are multiplication, addition, and subtraction.

On a fundamental level, counting the instances in which one number is contained within another is one interpretation of the division of two natural numbers. 7 It's not necessary for this number to be an integer.

The expression to represent this problem is:

z ÷ 2 = ≥ -6

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The number of potatoes peeled by Tom was 36 potatoes after peeling a pile of 64 potatoes

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

Let t represent the time after Tom joined.

number of potatoes peeled by Ben = 2(5 minutes) + 2t = 2t + 10

number of potatoes peeled by Tom = 4t

Since they are 64 potatoes, hence:

2t + 10 + 4t = 64

t = 9 minutes

number of potatoes peeled by Tom = 4(9) = 36 potatoes

The number of potatoes peeled by Tom was 36 potatoes after peeling a pile of 64 potatoes

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Standard normal distribution (Z distribution) is a special case of normal distribution in which the mean is 0 and the standard deviation is 1. The Z distribution is symmetrical around zero. The probability of an event can be determined by the area under the curve.

Z scores are used in this distribution to represent values that are below or above the average. A Z score is calculated by subtracting the mean from the data point and then dividing the result by the standard deviation.
P(Z ≤ 2.45): This means that the probability of a value being less than or equal to 2.45 in the Z distribution. Using the Z table or calculator, we can get the area of 0.9922.
P(0.03 ≤ Z ≤ 1.38): This means that the probability of a value being between 0.03 and 1.38 in the Z distribution. By using the Z table or calculator, we can get the area of 0.4129.
P(Z > 1.25): This means that the probability of a value being greater than 1.25 in the Z distribution. By using the Z table or calculator, we can get the area of 0.1056.
P(2.15 < Z): This means that the probability of a value being greater than 2.15 in the Z distribution. By using the Z table or calculator, we can get the area of 0.0158.
P(2.15 ≤ Z < 2.50): This means that the probability of a value being between 2.15 and 2.50 in the Z distribution. By using the Z table or calculator, we can get the area of 0.0192.
P(2.15 < Z < 2.50): This means that the probability of a value being between 2.15 and 2.50 in the Z distribution. By using the Z table or calculator, we can get the area of 0.0190.
P(-2 < Z < 1.5): This means that the probability of a value being between -2 and 1.5 in the Z distribution. By using the Z table or calculator, we can get the area of 0.7745.
P(|Z| ≤ 1.96): This means that the probability of a value being between -1.96 and 1.96 in the Z distribution. By using the Z table or calculator, we can get the area of 0.9500.
P(|Z| ≥ 2.546): This means that the probability of a value being greater than or equal to 2.546 or less than or equal to -2.546 in the Z distribution. We have to calculate the probability for both cases and add them. By using the Z table or calculator, we can get the area of 0.0053 for each case. Thus, the total probability is 0.0106.

The Z distribution is a normal distribution in which the mean is 0 and the standard deviation is 1. The probability of an event can be determined by the area under the curve. Z scores are used in this distribution to represent values that are below or above the average. Z scores are calculated by subtracting the mean from the data point and then dividing the result by the standard deviation. The Z distribution is symmetrical around zero. The area under the curve can be calculated using the Z table or calculator. We have calculated various probabilities using the Z table or calculator. In the first case, we have found the probability of a value being less than or equal to 2.45 in the Z distribution. In the second case, we have found the probability of a value being between 0.03 and 1.38 in the Z distribution. In the third case, we have found the probability of a value being greater than 1.25 in the Z distribution. In the fourth case, we have found the probability of a value being greater than 2.15 in the Z distribution. In the fifth case, we have found the probability of a value being between 2.15 and 2.50 in the Z distribution. In the sixth case, we have found the probability of a value being between 2.15 and 2.50 in the Z distribution. In the seventh case, we have found the probability of a value being between -2 and 1.5 in the Z distribution. In the eighth case, we have found the probability of a value being between -1.96 and 1.96 in the Z distribution. In the ninth case, we have found the probability of a value being greater than or equal to 2.546 or less than or equal to -2.546 in the Z distribution. Thus, we have found the probabilities for various events in the Z distribution using the Z table or calculator.

The Z distribution is a normal distribution in which the mean is 0 and the standard deviation is 1. Z scores are used to represent values that are below or above the average. The probability of an event can be calculated using the area under the curve. The Z table or calculator can be used to calculate the area under the curve. We have calculated various probabilities using the Z table or calculator.

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Answer: I think the answer would be 10

Step-by-step explanation:

5/8 * 16/1 = 80/8 = 10

She needs 10 sub sandwiches if there are 16 students and Mrs Bryant wants to give them 5/8 of a large sub sandwiches

Fraction number consists of two parts, one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.

We have:

Total number of students = 16

Each student receive = 5/8 of a large sub sandwich

Total sandwich receive = 16(5/8) = 10

Thus, she needs 10 sub sandwiches if there are 16 students and Mrs Bryant wants to give them 5/8 of a large sub sandwiches

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Answer:

24 mm

Step-by-step explanation:

Using Pythagoras' identity in the right triangle.

The square on the hypotenuse is equal to the sum of the squares on the other 2 sides.

let x be the other leg, then

x² + 10² = 26²

x² + 100 = 676 ( subtract 100 from both sides )

x² = 576 ( take the square root of both sides )

x = \(\sqrt{576}\) = 24

The length of the other leg is 24 mm

Answer:

24:12 = 24/12

24/12 = 2/1 or 2

Step-by-step explanation:

The limit of the expression as x approaches infinity is -2. a) There are no points of discontinuity for this function and b) The points of discontinuity for the function f(x) = (x² + 5x + 6) / (2x² + 5x - 3) are x = -3/2 and x = 1/2.

To find the limit of the given expression, we need to evaluate it as x approaches a certain value. Let's calculate the limit.

lim(x->∞) (5 - 4x²) / (5x² – 3x² + 6x - 4)

First, let's simplify the expression:

lim(x->∞) (5 - 4x²) / (2x² + 6x - 4)

Next, let's divide both the numerator and denominator by the highest power of x, which is x²:

lim(x->∞) (5/x² - 4) / (2 + 6/x - 4/x²)

As x approaches infinity, the terms with 1/x or 1/x² become negligible. So we can simplify the expression further:

lim(x->∞) (0 - 4) / (2 + 0 - 0)

lim(x->∞) -4 / 2

lim(x->∞) -2

Therefore, the limit of the expression as x approaches infinity is -2.

Regarding the second part of your question, let's determine the points of discontinuity for the given functions.

a) f(x) = - (x + 3)

To find the points of discontinuity, we need to look for values of x where the function is undefined. In this case, the function is defined for all real values of x because there are no denominators or square roots involved. Therefore, there are no points of discontinuity for this function.

b) f(x) = (x² + 5x + 6) / (2x² + 5x - 3)

To find the points of discontinuity, we need to check if there are any values of x that make the denominator equal to zero, as division by zero is undefined.

For the given function, the denominator is 2x² + 5x - 3. To find the points of discontinuity, we set the denominator equal to zero and solve for x:

2x² + 5x - 3 = 0

Using factoring, quadratic formula, or any other method, we find that the solutions to this equation are x = -3/2 and x = 1/2.

Therefore, the points of discontinuity for the function f(x) = (x² + 5x + 6) / (2x² + 5x - 3) are x = -3/2 and x = 1/2.

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Answer:

The first one would be reasonable, because the minutes late is 50, which is a little under 1 hour.

Explanation:

The 2nd one uses a negative value for m, you can't use a negative value when adding time.

The 3rd and fourth have fairly large numbers which are not typical for parents picking up their kids.

Answer:

laine19

Ambitious

use this link

Using the information provided, no triangle will be formed.

This is shown by, summing the angles

The number of triangles to be formed considering the given angles is achieved knowing the basic properties of triangle which is:

With this knowledge, we sum the angles of the triangle

= 112 + 54 + 16

= 182

No triangle is formed as the sum is not equal to 180 degrees

If the angles are summed to 180 degrees, this is a criterion of formation of unlimited number of triangle

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Answer:

47 students in each bus

Step-by-step explanation:

243-8= 235

235/5=47

Answer:

heyyyyyyyyyyyyy

Step-by-step explanation:

Hope you had a good day

The following is the null and alternate hypothesis:

H₀ = u = 40.1

H₁ = u < 40.1

The null hypothesis should read as follows if we want to test the assertion that the average workweek has decreased:

The claim that there is a decrease in the typical work week should be made in the alternative hypothesis. The genuine mean is smaller than 40.1 can be used to express this.

The null hypothesis should assert that the average work week has not been significantly reduced, which is the opposite of the alternative. This can be expressed mathematically as 40.1 as the genuine mean.

Therefore, The alternative and null hypothesis are then:

H₀ = u = 40.1

H₁ = u < 40.1

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The internal rate of return on the investment for Burgundy Basins is 13.33%.

The internal rate of return on the investment for Burgundy Basins represents the percentage return expected from the investment, which is 13.33% in this case. It indicates the rate at which the investment's net present value is zero, meaning it is expected to generate returns equal to its cost. This makes the investment financially attractive as it offers a return higher than the company's cost of capital.

Burgundy Basins, a sink manufacturer, is considering an average-risk investment worth $36 million. The investment is projected to generate a perpetual annual return of $4.8 million. To evaluate the attractiveness of the investment, the internal rate of return (IRR) is calculated. The IRR represents the rate at which the net present value of the investment becomes zero.

In this case, the IRR is determined to be 13.33%, indicating that the investment offers a return higher than its cost. This implies that the investment is financially viable and can potentially enhance the company's profitability. However, it's important to note that other factors such as market conditions and potential risks should also be taken into consideration before making a final decision.

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The reason why the graph is misleading is A. The x-axis scale shows the data is more clustered than it actually is.

The dataset is given as follows:

From the dataset, the cost of the event is plotted on the x-axis and the entry 2500 to 2599 is missing. The graph, therefore, forms a cluster of the point that is not actually represented on the data elements.

Therefore, the x-axis scale shows the data is more clustered than it actually is.

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The reason why the graph is misleading because (a) The x-axis scale shows the data is more clustered than it actually is

The dataset is given as:

From the above dataset, we can see that the cost of the event is plotted on the x-axis.

For the dataset, the entry 2500 to 2599 is missing.

Because of the missing entry, the graph forms a cluster of point that is not actually represented on the data elements

Hence, the graph is misleading because (a) The x-axis scale shows the data is more clustered than it actually is

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======================================

Explanation:

Use your calculator to find that 89/6 = 14.8333 approximately

The whole part 14 means each of the six people get 14 chips

That means 6*14 = 84 chips have been eaten so far, leaving 89-84 = 5 chips left over for her sister.

----------

In other words,

89/6 = 14 remainder 5

which can be found through long division as shown below

Sample 1: Mean=10.01, Standard deviation=13.90 Sample 2: Mean

=11.43, Standard deviation

=14.10

Sample size of 1st year = n1

= 1012Mean of 1st year sample

= X1 = 10.01Standard deviation of 1st year sample

= s1

= 13.90Sample size of 2nd year

= n2

= 1012Mean of 2nd year sample

= X2

= 11.43

Standard deviation of 2nd year sample = s2

= 14.10 Let us assume a significance level of α = 0.05, which implies that the critical region consists of 2.5% in both tails (since it is a two-tailed test).

Therefore, we do not have sufficient evidence to conclude that the mean number of hours per week spent on the Internet differs between 2010 and another year.

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Answer:

Stocks have historically delivered higher returns than bonds because there is a greater risk that, if the company fails, all of the stockholders' investment will be lost.

Step-by-step explanation:

Hope this will help

Answer:

Stocks have historically delivered higher returns than bonds because there is a greater risk that, if the company fails, all of the stockholders' investments will be lost. However, a stock's price will also rise in spite of this risk when the company performs well, and can even work in the investor's favor.

Step-by-step explanation: