How many solutions are there to the system of equations? {-4x - 5y = 5 -0. 08x + 0. 10y = 0. 10} A) no solutions B)one solution C)two solutions D)an infinite number of solutions

Your net worth change by zero dollars.

Net worth is the difference between asset and liability.  

In other words net worth is the sum of all assets owned by a person or a company, minus any obligations or liabilities.

Therefore, since he took $5,000 out of the bank to purchase a car worth $5,000 his net worth will change by zero dollars.

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The given statement: The Ratio Test can be used to determine whether 1 n2 converges is false.

Therefore, the correct statement would be: The Ratio Test cannot be used to determine whether 1/n^2 converges.

The Ratio Test is used to determine the convergence of series by taking the limit of the ratio of consecutive terms.

For the series 1/n^2, applying the Ratio Test would give:

\(lim(n→∞) |(1/(n+1)^2) / (1/n^2)|\)

Simplifying this expression:

\(lim(n→∞) |(n^2)/(n^2 + 2n + 1)|\)

As n approaches infinity, the limit of this expression is 1. According to the Ratio Test, if the limit is less than 1, the series converges. In this case, the limit is equal to 1, which means the Ratio Test is inconclusive.

To determine whether the series 1/n^2 converges, we can use the p-series test, which states that if the exponent of the series terms is greater than 1, the series converges. In this case, the exponent is 2, which is greater than 1, so the series 1/n^2 converges.

Therefore, the correct statement would be: The Ratio Test cannot be used to determine whether 1/n^2 converges.

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Sheri should invest $2000 in mutual fund and $13,200 in bond.

Let the amount to be invested in mutual fund be x. So, the amount to be invested in bond will be (15,200 - x). Forming the equation now -

1%×x + 4%×(15,200 - x) = 548

x/100 + 60,800/100 - 4x/100 = 548

60,800 - 3x = 54800

3x = 60800 - 54800

3x = 6000

x = 6000 ÷ 3

x = 2000

Amount to be invested in mutual fund = $2000

Amount to be invested in bond = 15,200 - 2000

Amount to be invested in bond = $13,200

Sheri should invest $2000 and $13,200 in mutual fund and bond respectively.

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If you put n = 1, we get:

f(1) = 15 + 2 (1-1)

= 15 + 2 (0)

= 15

So, we can say the initial value is 15.

If n = 2, we have:

f(2) = 15 + 2 (2-1)

= 15 + 2(1)

= 17

If n = 3, we have:

f(3) = 15 + 2(3-1)

= 15 + 2(2)

= 15 + 4

= 19

So, we see the sequence is:

15, 17, 19

starts with 15 and increases by 2

Suppose you have 15 dollars in your bank. Each day, you add 2 dollars to your account. How much money would you have after 12 days?

We will use the equation given and put n = 12, thus:

f(12) = 15 + 2 (12-1)

= 15 + 2(11)

= 15 + 22

= $37

Answer:

x^2 + 6x + 8

Step-by-step explanation:

area of blue = x^2

area of pink= 2x

area of green=4x

area of brown=8

Adding all the area.

we get : x^2 + 6x +8

The values of the missing integers after factorization of the polynomials are;

1) a = 1, b = -2, c = 1 and d = -4

2) a = 1, b = 2, c = 1, d = -4

3) a = 1, b = 4, c = 1 and d = -6

1) We have the polynomial as;

x² - 6x + 8

Now, let us break -6x down to get;

x² - 2x - 4x + 8

Let us group the items to get;

(x² - 2x) - (4x - 8)

Factorizing common terms out of the bracket gives;

x(x - 2) - 4(x - 2)

= (x - 2)(x - 4)

In form of (ax + b)(cx + d) tells us that;

a = 1, b = -2, c = 1 and d = -4

2) We have the polynomial as; 3x³ - 6x² - 24x

Factorize out 3x which is common to each term to get;

3x(x² - 2x - 8)

The bracket can be broken down into;

3x(x² + 2x - 4x - 8)

Group the terms in the bracket to get;

3x((x² + 2x) - (4x + 8))

Factorize the bracket to get;

3x(x(x + 2) - 4(x + 2))

= 3x(x + 2)(x - 4)

Thus;

a = 1, b = 2, c = 1, d = -4

3) We have the polynomial as;

2x² - 2x - 24

Now, let us break -2x down to get;

x² + 4x - 6x - 24

Let us group the items to get;

(x² + 4x) - (6x + 24)

Factorizing common terms out of the bracket gives;

x(x + 4) - 6(x + 4)

= (x + 4)(x - 6)

In form of (ax + b)(cx + d) tells us that;

a = 1, b = 4, c = 1 and d = -6

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An ordered pair is a solution of an equation in two variables if replacing the variables by the coordinates of the ordered pair results in a true statement.

In mathematics, an equation in two variables represents a relationship between two quantities. An ordered pair consists of two values, typically denoted as (x, y), that represent the coordinates of a point in a two-dimensional plane.

When these values are substituted into the equation, if the equation holds true, then the ordered pair is considered a solution or a solution set to the equation. This means that the relationship described by the equation is satisfied by the values of the ordered pair. In other words, the equation is true when evaluated with the values of the ordered pair.

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Answer:

36 ft

Step-by-step explanation:

I hope this helps!

The solution to each of the arithmetic sequence are:

1) a₁₀ = 56

2) a₁₀ = 87

3) missing term is 13

4) missing term is 14

The formula for the nth term of an arithmetic sequence is:

aₙ = a + (n - 1)d

where:

a is first term

n is nth term

d is common difference

1) a = 2

d = 6

a₁₀ = 2 + (10 - 1)6

a₁₀ = 2 + 54

a₁₀ = 56

2) a = 15

d = 8

a₁₀ = 15 + (10 - 1)8

a₁₀ = 87

3) The missing term will be gotten by finding the common difference.

d = (22 - 4)/2

d = 18/2

d = 9

missing term = 4 + 9 = 13

4) The missing term will be gotten by finding the common difference.

d = (53 - 25)/2

d = 28/2

d = 14

missing term = 4 + 9 = 14

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A cylindrical object is 3.13 cm in diameter and 8.94 cm long and weighs 60.0 g. The density of the cylindrical object is 0.849 g/cm^3.

To calculate the density, we first need to find the volume of the cylindrical object. The volume of a cylinder can be calculated using the formula V = πr^2h, where r is the radius (half of the diameter) and h is the height (length) of the cylinder.

Given that the diameter is 3.13 cm, the radius is half of that, which is 3.13/2 = 1.565 cm. The length of the cylinder is 8.94 cm.

Using the values obtained, we can calculate the volume: V = π * (1.565 cm)^2 * 8.94 cm = 70.672 cm^3.

The density is calculated by dividing the weight (mass) of the object by its volume. In this case, the weight is given as 60.0 g. Therefore, the density is: Density = 60.0 g / 70.672 cm^3 = 0.849 g/cm^3.

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Answer:

je suis désolé je ne vois pas bien

Step-by-step explanation:

et aussi je ne comprend pas l'anglais

Shapes such as squares, rectangles, and circles are all symmetric along their own lines of symmetry.

SYMMETRIC figures are objects that may be split into two equal portions by a line. Asymmetric refers to uneven shapes and items that do not resemble one another when broken into two sections.

A symmetrical relationship between an object's two halves is one that is balanced and proportionate. In other words, one half is the other half's mirror image. The term "line of symmetry" refers to an illustrative line and axis along which a figure can be folded to form symmetrical halves.

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Shapes such as squares, rectangles, and circles are all symmetric along their own lines of symmetry.What does symmetrical shape entail?SYMMETRIC figures are objects that may be split into two equal portions by a line. Asymmetric refers to uneven shapes and items that do not resemble one another when broken into two sections.what is symmetry?A symmetrical relationship between an object's two halves is one that is balanced and proportionate. In other words, one half is the other half's mirror image. The term "line of symmetry" refers to an illustrative line and axis along which a figure can be folded to form symmetrical halves.

Hello there, hope you are having a nice day.

This is the rule for rounding:

    - Example: 3.4 =>3

     - Example: 6.7 =>7

Using this rule, we can round 3.5:

3.5 =>4

Hope it helps. Ask me if you have any queries.

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Good luck.

Answer:

\(9.38 \times 10^{2}\)

Step-by-step explanation:

All numbers in scientific notation or standard form are written

                                                                                       \(m \times 10^n\),

where m is a number between 1 and 10.

Answer:

\(9.38 \times {10}^{2} \)

Step-by-step explanation:

All numbers in standard form are written

\(m \times {10}^{n} \)

To find the best predicted value of y (weight) for an adult male who is 182 cm tall, we will use the regression equation:

ŷ = -102 + 1.11x

Substituting x = 182 into the equation, we get:

ŷ = -102 + 1.11(182)

ŷ = -102 + 201.02

ŷ ≈ 99.02

The best predicted value of ŷ (weight) for an adult male who is 182 cm tall is approximately 99.02 kg.

Note: The given information includes the regression equation, which represents the linear relationship between the predictor variable x (height) and the response variable y (weight). By plugging in the value of x = 182 into the equation, we can estimate the corresponding value of y. The significance level mentioned (0.05) is not directly relevant to predicting the value of ŷ.

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a) The range of the number of cans found is: 8

b) The range of the number of bottles found is: 5

The range of a dataset is basically  the simplest measurement of the difference between values in a data set. To find the range, we will simply subtract the lowest value from the greatest value while ignoring the others.

a) The range of the number of cans found is simply the difference between the highest number of cans found and the lowest number of cans found.

Thus:

Range of number of cans = 10 - 2

Range of number of cans = 8

b) The range of the number of bottles found is simply the difference between the highest number of bottles found and the lowest number of bottles found.

Thus:

Range of number of bottles = 6 - 1

Range of number of bottles = 5

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Answer:

Step-by-step explanation:

x^2+64=(x+8i)(x-8i)

16x^2+49=(4x+7i)(4x-7i)

C, D,E

Step-by-step explanation:

4x=2

4+x=4 1/2

16x=8

For sample 1, where there are 684 individuals and 65 of them have had heart attacks, the sample proportion would be p = x/n = 65/684 ≈ 0.095. In sample 2, where there are 698 individuals and 37 have had heart attacks, the sample proportion would be p = x/n = 37/698 ≈ 0.053.  The correct answer is: A. "Sample p" is the sample proportion, p, where pr.

A study has been conducted with 1382 patients who had a stroke. The study randomly assigned each patient to either aspirin treatment or placebo treatment. Sample 1 was given a placebo, while sample 2 was given aspirin. Below are the ways of obtaining the values labelled "Sample p": In statistics, a sample is a subset of the population. In research, samples are drawn from the population to analyze the population data. Samples can either be selected with or without replacement. In mathematics, a proportion is a statement that two ratios are equivalent. Two equivalent ratios are equal ratios. In statistics, a proportion is the fraction of a population that has a particular feature. For sample 1, where there are 684 individuals and 65 of them have had heart attacks, the sample proportion would be p = x/n = 65/684 ≈ 0.095. In sample 2, where there are 698 individuals and 37 have had heart attacks, the sample proportion would be p = x/n = 37/698 ≈ 0.053.

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Answer:

x = 1.13

Step-by-step explanation:

Answer:

Step-by-step explanation: first multiply 6x1 and 6x2k on the right= -6k-24>=6-12k

Then add 12k to both sides. (positive) 6k-24>=6 Then add 24 to both sides.

6k>=30  Divide. 6/6 and 30/6 and your answer is 5

0.80 = (x + 8)(0.05) is the equation used to find x.

Given,

Darryl has a solution of bleach with the concentration of 10%.

10% bleach solution means in 100 ml solution amount of bleach is 10 gm

Here,

Darryl wants to change the concentration of this solution to 5%, means he wants to add water so that amount of liquid will change but amount of bleach in grams will remain the same.

Amount of bleach in 8 gallons of 10% solution of bleach will be = (Volume)×(concentration) = 8(.10) gm

Let Darryl adds x gallons of water in 10% solution of bleach to make it 5% solution of bleach.

Amount of bleach in 5% solution of bleach = (x + 8)(0.05) gm

Now in both the concentrations of bleach solution amount of bleach will remain same.

So, 0.8 = (x + 8)(0.05) will be the equation from which he can find the value of x.

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M' (1.5, -1), F' (2, -1), L' (0.5 -2.5), W' (2.5, -2.5)

see graph below

Given:

The image of a quadrilateral on a coordinate plane

To find:

The coordinates of the new image after dilation of 1/2 have been applied to the original image.

Then graph the coordinates

First, we need to state the coordinates of the original image:

M = (3, -2)

F = (4, -2)

L = (1, -5)

W = (5, -5)

Next, we will apply a scale factor of 1/2:

The new coordinates:

M' (3/2, -1), F' (2, -1), L' (1/2, -5/2), W' (5/2, -5/2)

M' (1.5, -1), F' (2, -1), L' (0.5 -2.5), W' (2.5, -2.5)

Plotting the coordinates:

Therefore, the value of n that makes the system of equations true is n = 10.

Given:

p = 2n

p - 5 = 1.5n

Substituting the value of p from the first equation into the second equation, we have:

2n - 5 = 1.5n

Next, we can solve for n by subtracting 1.5n from both sides of the equation:

2n - 1.5n - 5 = 0.5n - 5

Simplifying further:

0.5n - 5 = 0

Adding 5 to both sides of the equation:

0.5n = 5

Dividing both sides by 0.5:

n = 10

Therefore, the value of n that makes the system of equations true is n = 10.

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Answer:

a) 441 gallons

b) -243 fish

Step-by-step explanation:

For a), multiply the 7 gallons of water by the 63 minutes to get 441 total gallons of water added

For b), multiply the 27 fish by 9 days to find the total decrease in fish, which is -243 fish.

Hopefully this helps - let me know if you have any questions!

Answer:

22/25

Step-by-step explanation:

-4 2/5 = 4*5+2

-4 2/5 = -22/5

(-22/5) /(-5/1) = (-22/5) * (-1/5)

= 22/5

Answer:

-8.5411

Step-by-step explanation:

I just did this with the desmos calculator !

Answer:

D = \(5\sqrt{5}\)

Step-by-step explanation:

\(d= \sqrt{(x_2-x_1)^2+(y_2-y_1)^2} \\d= \sqrt{(-7-(-2))^2+(-7-3)^2} \\d= \sqrt{(-5)^2+(-10)^2} \\d= \sqrt{25+100} \\d= \sqrt{125} \\d= 5\sqrt{5}\)