Helpppp.

................

Answer:

Step-by-step explanation:

FIND THE SOLUTION BELOW

3m-2n=19

5m+7n=11

21m-14n=133

10m+14n=22

Now add equations

31m=155

m=5

Now let's find n

3×5-2n=19

-2n=4

n=-2

Answer: (5; -2)

The question is about solving a system of two linear equations with two variables, m and n, using substitution method. First, solve one of the equations for one variable and substitute this into the other equation. Solve the resulting equation to find the value of one variable and substitute this value into the first equation to find the value of the second variable.

The question represents a system of linear equations. Such system contains two equations with two variables, namely m and n. To solve such a system, we can use various methods, such as substitution, elimination, or matrix methods. Let's use the substitution method in this case.

https://brainly.com/question/33609849

#SPJ11

Answer:

a. 84 < n + (n + 2) + (n + 4) < 96

b. 26 < n < 30

step-by-step explanation:

using 'n' to represent the smallest even number, the next even number would be 'n + 2' and the next even number would be 'n + 4'. so, the expression to represent three consecutive even numbers is: n + (n + 2) + (n + 4).

since the sum of the these numbers needs to be between 84 and 96, we can set up the following inequality:

84 < n + (n + 2) + (n + 4) < 96

in order to solve for 'n', we must first combine like terms:

84 < 3n + 6 < 96

subtract 6 from all sides: 84 - 6 < 3n + 6 - 6 < 96 - 6 or 78 < 3n < 90

divide 3 by all sides: 78/3 < 3n/3 < 90/3 or 26 < n < 30.

Answer:

3/2

Step-by-step explanation:

StartFraction 2 m + 4 Over 8 EndFraction divided by StartFraction m + 2 Over 6 EndFraction

I think you mean:

(2m + 4) / 8   divided by (m + 2)/6

=

(2m + 4)/8    times  (6 / (m + 2) )

= (m + 2)/4  times  6/(m + 2)

= 6/4 = 3/2

The quotient of the given (2m + 4)/8 divided by (m +2)/6 will be 3/2.

In such a fraction, the value that appears above the horizontal line is referred to as the numerator.

In another word, the fraction is the division of the two numbers but the division is not wholly complete.

In another word, if we divide two numbers by each other then the upper word is called the numerator, and a lower word is called the denominator.

It represents the number of pieces removed from the whole. The denominator of a fraction is the numerical value that comes before the brings together various.

Given that

(2m + 4)/8  ÷ (m +2)/6

⇒ (2m + 4)/8 × 6/(m +2)

⇒ 2 ×6 ÷8

⇒3/2 hence it will be the correct answer.

For more about fractions

https://brainly.com/question/10354322

#SPJ5

Answer:

x=500

Step-by-step explanation:

7/10=350/x

cross-multiply by multiplying 350 to 10 and multiply 7 to x.

example:

7•x

350•10

7x=3500

divide both sides by 7

-------------

x=500

-------------

Answer:

45 degrees

Step-by-step explanation:

Answer:

[tex]\frac{1}{5^{4}}[/tex] = [tex]\frac{1}{625}[/tex] = 0.0016

Step-by-step explanation:

I'm assuming you mean [tex]5^{-4}[/tex] (which could also be written as 5^-4, for future reference).

Negative exponents actually mean you'd use the term in the denominator, taking away the negative portion. It's difficult to explain in words, and is easier to see.

[tex]5^{-4}[/tex] = [tex]\frac{1}{5^{4}}[/tex]

Notice how the -4 changes to 4, and it becomes the denominator.

[tex]5^{4}[/tex] is also 625, so [tex]5^{-4}[/tex] is also 1/625, or the decimal version (0.0016).

I hope this helps!

Answer:

  $41

Step-by-step explanation:

Fill in the values of the variables and do the arithmetic.

  3r +2.5p = 3(7) +2.5(8) = 21 +20 = 41

7 roses and 8 petunias cost $41.

Answer:

The standard deviation of the sampling distribution of x overbar, denoted sigma subscript x overbar, is called the Standard Error of the Mean.

Step-by-step explanation:

Standard deviation of the sampling distribution, or sigma Subscript x overbar, is also known as the standard error of the mean. It represents how much the sample means deviate from the population mean. The standard error can be calculated by dividing the population standard deviation by the square root of the sample size.

The standard deviation of the sampling distribution, represented by the symbol sigma Subscript x overbar is also known as the standard error of the mean. This term refers to the standard deviation of the population of all possible sample means from samples of a specific size.

The basic formula to calculate the standard deviation is Σ(x – μ)2 / N for the population and Σ(x – x)² / (n-1) for the sample. Greek symbol µ represents the population mean while 'x' is the sample mean.

The standard error can be calculated by dividing the population standard deviation (σ) by the square root of the sample size (n). Thus, lesser the standard error, closer are the sample means to the population mean and vice versa. This is a very important concept in statistics as it allows one to estimate an unknown population parameter using sample data.

https://brainly.com/question/31941158

#SPJ11

Answer:

[tex] 22\sqrt 2 [/tex] cm

Step-by-step explanation:

[tex] in \: a \: 45 \degree - 45 \degree - 45 \degree \: \triangle \\ leg = \frac{1}{ \sqrt{2} } \times hypotenuse \\ \\ \therefore \: 22 = \frac{1}{ \sqrt{2} } \times hypotenuse \\ \\ \purple{ \bold{ \therefore \: hypotenuse = 22 \sqrt{2} cm}}[/tex]

Answer:

Therefore the radius of the can is 1.71 cm and height of the can is 2.72 cm.

Step-by-step explanation:

Given that, the volume of cylindrical can with out top is 25 cm³.

Consider the height of the can be h and radius be r.

The volume of the can is V= [tex]\pi r^2h[/tex]

According to the problem,

[tex]\pi r^2 h=25[/tex]

[tex]\Rightarrow h=\frac{25}{\pi r^2}[/tex]

The surface area of the base of the can is = [tex]\pi r^2[/tex]

The metal for the bottom will cost $2.00 per cm²

The metal cost for the base is =$(2.00× [tex]\pi r^2[/tex])

The lateral surface area of the can is = [tex]2\pi rh[/tex]

The metal for the side will cost $1.25 per cm²

The metal cost for the base is =$(1.25× [tex]2\pi rh[/tex])

                                                 [tex]=\$2.5 \pi r h[/tex]

Total cost of metal is C= 2.00 [tex]\pi r^2[/tex]+[tex]2.5 \pi r h[/tex]

Putting [tex]h=\frac{25}{\pi r^2}[/tex]

[tex]\therefore C=2\pi r^2+2.5 \pi r \times \frac{25}{\pi r^2}[/tex]

[tex]\Rightarrow C=2\pi r^2+ \frac{62.5}{ r}[/tex]

Differentiating with respect to r

[tex]C'=4\pi r- \frac{62.5}{ r^2}[/tex]

Again differentiating with respect to r

[tex]C''=4\pi + \frac{125}{ r^3}[/tex]

To find the minimize cost, we set C'=0

[tex]4\pi r- \frac{62.5}{ r^2}=0[/tex]

[tex]\Rightarrow 4\pi r=\frac{62.5}{ r^2}[/tex]

[tex]\Rightarrow r^3=\frac{62.5}{ 4\pi}[/tex]

⇒r=1.71

Now,

[tex]\left C''\right|_{x=1.71}=4\pi +\frac{125}{1.71^3}>0[/tex]

When r=1.71 cm, the metal cost will be minimum.

Therefore,

[tex]h=\frac{25}{\pi\times 1.71^2}[/tex]

⇒h=2.72 cm

Therefore the radius of the can is 1.71 cm and height of the can is 2.72 cm.

The radius should be approximately 1.7 cm, and the height should be approximately 2.77 cm.

We are to find the dimensions of a cylindrical can without a top that will minimize the cost while containing 25 cubic centimeters (cm³) of liquid.

The volume of a cylinder is given by the formula:

V = πr²h

where r is the radius and h is the height.

Given V = 25 cm³, we can express the height h in terms of the radius r:

h = V / (πr²) = 25 / (πr²)

The cost involves the lateral surface area (sides) and the bottom area:

Lateral surface area: As = 2πrh

Bottom area: Ab = πr²

Cost of the sides: $1.25 per square cm (let's denote the lateral cost by Cs)

Cs = 1.25 * 2πrh = 2.5πrh

Cost of the bottom: $2.00 per square cm (let's denote the bottom cost by Cb)

Cb = 2.00 * πr² = 2πr²

Total cost C is given by:

C = Cs + Cb = 2.5πrh + 2πr²

Substituting h = 25 / (πr²) into the total cost formula,

C = 2.5πr(25 / πr²) + 2πr² = 62.5 / r + 2πr²

To minimize the cost, we take the derivative of C with respect to r and set it to zero:

dC/dr = -62.5 / r² + 4πr = 0

Simplifying, we get:

4πr³ = 62.5

r³ = 62.5 / 4π = 4.978

r = ∛(4.978) ≈ 1.7 cm

Now, calculate the height h:

h = 25 / (π * 1.7²) ≈ 2.77 cm

Thus, the dimensions of the can that minimize the cost are approximately: radius = 1.7 cm and height = 2.77 cm.

Answer:

5 ounce for $1.49 is you're answer.

Step-by-step explanation:

1.49/6 = 0.248 per oz

3.59/13 = 0.276 per oz

Answer:

(52,20)

Step-by-step explanation:

Answer: B

(52, 20)

Step-by-step explanation:

Answer: 17.28

Step-by-step explanation:

18*12 =216*.02=4.32

18*12=216*.10=21.6

21.6-4.32=17.28

In a year, by opting for online e-checks at a rate of $.02 per check instead of paper checks at $.10 per check for an average of 18 checks per month, your savings amount to $17.28.

The subject of your question is a practical application of mathematics, specifically an area often referred to as personal finance. To find out how much you've saved over a year by sending e-checks online instead of writing paper checks, we first need to calculate the cost of each method and then compare the two.

First, let's calculate how much it would cost for the e-checks. The bank charges you $0.02 for each e-check you send. If you send an average of 18 checks per month over a year (12 months), that's 18 checks/month x 12 months/year = 216 checks/year. At $0.02 a check, that comes out to 216 checks/year x $0.02/check = $4.32/year.

Now let's calculate the cost if you were writing paper checks. The bank charges $0.10 for each paper check you write, so that would have been 216 checks/year x $0.10/check = $21.60/year.

So, by choosing to send e-checks online instead of writing paper checks, you've saved $21.60/year - $4.32/year = $17.28/year.

https://brainly.com/question/4435650

#SPJ2

Answer:

A

Step-by-step explanation:

(x - h)² + (y - k)² = r²

x² + y² = r²

(-3)² + (-5)² = r²

r² = 34

x² + y² = 34

Answer:

A. 0.09

Step-by-step explanation:

Answer:

(x-10) (x+1) =0

x=10                     x=-1

Step-by-step explanation:

x^2 -9x-10 =0

Factor

What two numbers multiply to -10 and add to -9

-10*1 = -10

-10+1=-9

(x-10) (x+1) =0

Using the zero product property

x-10 = 0             x+1=0

x-10+10=0+10       x+1-1=0-1

x=10                     x=-1

These are the x intercepts

The probability that an alkaline battery will fail before 185 days is approximately 0.457, or 45.7%. The probability that an alkaline battery will last beyond 2 years is approximately 0.228, or 22.8%.

To answer part (a), we need to find the probability that an alkaline battery will fail before 185 days. Since the length of life of an alkaline battery follows an exponential distribution with an average life of 340 days, we can use the formula for the exponential distribution to calculate the probability. The formula is:

P(X < t) = 1 - e^(-t/μ)

Where X is the random variable representing the length of life of the battery, t is the time (in days) we are interested in, and μ is the average life of the battery. Plugging in the values, we have:

P(X < 185) = 1 - e^(-185/340)

Solving this equation gives us a probability of approximately 0.457, or 45.7%.

For part (b), we want to find the probability that an alkaline battery will last beyond 2 years. Since there are 365 days in a year, 2 years is equal to 730 days. Using the same formula as before, we have:

P(X > 730) = 1 - P(X < 730) = 1 - (1 - e^(-730/340))

Solving this equation gives us a probability of approximately 0.228, or 22.8%.

Answer:

boardgamegeek.com/boardgame/245655/kings-dilemma

Step-by-step explanation:

The first of three consecutive terms after 55, which sum up to 738, is found to be 245 by setting up an equation and solving for n.

The student's question involves finding a variable, n, which represents the first of three consecutive terms, given that the sum of the three terms is 738 and that the sequence starts with a term after 55.

Let's denote the three consecutive terms as n, n+1, and n+2, where n is the first term that comes after 55. Since the sum of the terms is given as 738, we can formulate the following equation:

\(n + (n+1) + (n+2) = 738\)

Combining like terms, we get:

\(3n + 3 = 738\)

To find n, we'll subtract 3 from both sides of the equation and then divide by 3:

\(3n = 738 - 3\)

\(3n = 735\)

\(n = 245\)

Therefore, the first of the three consecutive terms is 245.

Answer:

B. t<2 hours

Step-by-step explanation:

If Tim has to mow his lawn in under two hours.

It means:

Tim must finish mowing the lawn before two hours, therefore t<2 is the correct option.

To express that Tim must mow his lawn in under two hours, the correct inequality is t < 2. This indicates that the time, t, must be less than two hours to complete the task. Option B.

To express the condition that Tim has to mow his lawn in under two hours as an inequality, we represent the time it takes to mow the lawn with the variable t. The inequality that represents the situation is t < 2, meaning the time must be less than two hours. This is conveyed using the less than symbol (<).

In the context of other example inequalities, such as t=0, which represents a starting time, and t=t+1, which indicates an increment of time, these are used to express discrete points or changes in time. However, to represent a range of time under a specific amount, we use an inequality like t < 2 to denote that the time taken should not exceed two hours, option B.

Answer:

You don't need "models and equations"; if the denominator is the

same, just subtract the numerators.

Step-by-step explanation:

The probability of rolling a factor of 8 with a six-sided die is 0.5 or 50%, as there are 3 favorable outcomes (1, 2, 4) out of 6 possible outcomes when rolling the die.

To find the probability of rolling factors of 8 with a fair, six-sided die, we first need to identify the factors of 8, which are 1, 2, 4, and 8. Of these, only 1, 2, and 4 are possible outcomes on a six-sided die. There are six possible outcomes when rolling a die (1, 2, 3, 4, 5, 6), so the probability of rolling a factor of 8 is the number of favorable outcomes (where the result is a factor of 8) divided by the total number of possible outcomes.

The favorable outcomes for this probability event are {1, 2, 4}, hence there are 3 favorable outcomes. Thus, the probability of rolling a factor of 8 is:

P(rolling a factor of 8) = Number of favorable outcomes / Total number of possible outcomes

P(rolling a factor of 8) = 3 / 6

P(rolling a factor of 8) = 0.5

Therefore, the probability of rolling a factor of 8 is 0.5 or 50%.

The equation of the graphed rational function is f(x) = (x + 1)/(x + 2)(x - 2)

How to determine the graphed rational function

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

The graph

From the graph, we have vertical asymptotes at

x = 2 and x = -2

This means that the denominator of the function is

(x + 2)(x - 2)

Looking through the list of options, we have the function with a denominator of (x + 2)(x - 2) to be f(x) = (x + 1)/(x + 2)(x - 2)

Hence, the graphed rational function is f(x) = (x + 1)/(x + 2)(x - 2)

The rational functions is graphed below is [tex]F(x) = \frac{(x - 1)}{x(x - 3)},[/tex] (after dividing both the numerator and denominator by (x)). The correct answer is C.

1. Analyze the graph's behavior:
The graph has vertical asymptotes at x = -3 and x = 2. This means the denominator of rational function must have factors (x + 3) and (x - 2).
The graph intersects y-axis at (0, -1). when x = 0, function value is -1.
As x approaches positive / negative infinity, graph approaches line y = 0. The numerator's degree must be smaller than denominator degree.
2. Consider the answer choices:
Only option C, [tex]F(x) = \frac{(x - 1)}{x(x - 3)},[/tex] has correct vertical asymptotes and a numerator degree of 1.
3. Verify the answer choice:
Let's substitute x = 0 into option C:
[tex]F(0) = \frac{(0 - 1)}{(0)(0 - 3)} = \frac{-1}{0} = -\infty[/tex]
This doesn't match the graph's behavior at x = 0. However, this is a common issue with rational functions when the numerator and denominator have a common factor. In this case, both the numerator and denominator have a factor of (x). Dividing both the numerator and denominator by (x) gives:
[tex]F(x) = \frac{\cancel{(x - 1)}}{\cancel{x}(x - 3)} = \frac{1}{(x - 3)}[/tex]
Now, let's substitute x = 0:
[tex]F(0) = \frac{1}{(0 - 3)} = -\frac{1}{3}[/tex]
This matches the graph's behavior at x = 0.

Complete and correct question:

Which of the following rational functions is graphed below?

[tex]A. F(x)=\frac{(x+1)}{(x+3)(x-2)}\\\\B. F(x)=\frac{(x-1)}{(x+2)^{2}}\\\\C. F(x)=\frac{(x-1)}{x(x-3)}\\[/tex]

Answer:

The number at tenth place is 6. Therefore, I guess there's 6 tens.

Step-by-step explanation:

There are 6 tens in the number 49,869.

To find the number of tens, we look at the digit in the tens place, which is the second digit from the right.

4 is in ten thousand place.

9 is in thousand place.

8 is in hundred place.

6 is in ten place.

As the digit in the tens place is 6.

The digit 6 represents six groups of ten in the number.

So, in the number 49,869, there are 6 tens.

Therefore, the correct answer is that there are 6 tens in the number 49,869.

To learn more on Number system click:

https://brainly.com/question/22046046

#SPJ6

Answer:

Find the degree of the equation to determine if linear.

"Not Linear"

Step-by-step explanation:

Answer:

  not linear, degree 2

Step-by-step explanation:

The degree of this equation is the highest sum of the exponents of the variables in any given term.

Here, there is one variable term. The variables are x and y. They each have an exponent of 1, so the degree of the variable term is 1+1 = 2.

Since the degree of the equation is not 1, it is not a linear equation.

Answer: 5/3

Step-by-step explanation:

This is a trigonometry ratio. Tangent of a right angle triangle

Tan0° = opposite

------------

adjacent.

Now from the question

Tan0° = 3/4 meaning that the opposite side is 3 while the adjacent side is 4. Going by the triple coordinate, when two of the sides of a right angle triangle are, 3 and 4, the third side should be 5, in other words you could as well use the Pythagoras theorem to find the other side which I believed you should be familiar with. Since the third side is known, the cosec could be calculated.

Cosec of an angle =

1/sine. From the question now,

Sine0° = opposite side

-----------------

Hypothesis

= 3/5

Therefore

Cosec0° = 1/3/5

= 1

---

3/5

= 5/3

Answer:

The value of test statistic is -2.736.

The type of alternate hypothesis is Left- tailed.

Step-by-step explanation:

We are given that Historical data indicated that among the consumers who buy this detergent, the proportion who purchased it because they had seen it advertised on TV is 0.80. In a random sample of 400 consumers who bought this detergent, 296 indicated that they bought it because they saw it advertised on TV.

We have to test the hypothesis to determine if there is sufficient evidence to conclude that the population proportion is less than 0.80.

Let p = population proportion of people who purchased the detergent because they had seen it advertised on TV.

SO, Null Hypothesis, [tex]H_0[/tex] : p [tex]\geq[/tex] 0.80  {means that the population proportion of people who purchased the detergent because they had seen it advertised on TV is greater than or equal to 0.80}

Alternate Hypothesis, [tex]H_a[/tex] : p < 0.80  {means that the population proportion of people who purchased the detergent because they had seen it advertised on TV is less than 0.80}

The test statistics that will be used here is One-sample z-proportion test;

                      T.S. = [tex]\frac{\hat p-p}{\sqrt{\frac{\hat p(1-\hat p)}{n} } }[/tex]  ~ N(0,1)

where, [tex]\hat p[/tex] = proportion of people who bought detergent because they saw it advertised on TV in a sample of 400 customers = [tex]\frac{296}{400}[/tex] = 0.74

           n = sample of customers = 400

SO, test statistics = [tex]\frac{0.74-0.80}{\sqrt{\frac{0.74(1-0.74)}{400} } }[/tex]

                               = -2.736

Therefore, the value of the test statistic for the test described above is -2.736.

And the type of alternative hypothesis is left-tailed because we have to determine whether the population proportion of people who purchased the detergent because they had seen it advertised on TV is less than 0.80.

Final answer:

To test if the population proportion is less than 0.80, a hypothesis test can be conducted using the sample data. The test statistic can be calculated using the formula (sample proportion - hypothesized proportion) / sqrt((hypothesized proportion * (1 - hypothesized proportion)) / sample size). Using the given information, the test statistic is approximately -5.00.

Explanation:

To test whether there is sufficient evidence to conclude that the population proportion of consumers who purchased the detergent because of TV advertisements is less than 0.80, we can conduct a hypothesis test using the sample data.

Null Hypothesis:

The proportion of consumers who bought the detergent because of TV advertisements is 0.80 or higher.

Alternative Hypothesis:

The proportion of consumers who bought the detergent because of TV advertisements is less than 0.80.

We can calculate the test statistic, which is also known as the z-score, using the formula:

test statistic = (sample proportion - hypothesized proportion) / sqrt((hypothesized proportion * (1 - hypothesized proportion)) / sample size)

Using the given information, the sample proportion is 296/400 = 0.74. The hypothesized proportion is 0.80, and the sample size is 400.

Plugging these values into the formula, we get:

test statistic = (0.74 - 0.80) / sqrt((0.80 * (1 - 0.80)) / 400)

Calculating this expression, we find that the test statistic is approximately -5.00.