50 points because why not ​

Answer:

(3x-3)=81

84=3x

x= 84/3

Answer:

b

Step-by-step explanation:

Answer:

$4

Step-by-step explanation:

20÷5=4 ............................................

Answer:

Distance between the two points

AB = √52 = 7.2111

Step-by-step explanation:

Explanation:-

Given points are (-1,-2) and (5,2)

Distance formula

                 \(= \sqrt{(x_{2}-x_{1} )^{2} +(y_{2} -y_{1})^{2} }\)

                \(= \sqrt{(5-(-1) )^{2} +(2 -(-2))^{2} }\)

               \(= \sqrt{(6 )^{2} +(4)^{2} }\)

              =   √36+16

             =√52

            = 7.2111

Final answer:-

Distance between the two points

AB = √52 = 7.2111

Answer:

16.2 pounds (least accurate)

13.9 pounds (2nd least accurate)

15.10 pounds (2nd most accurate)

15.01 pounds (most accurate)

Step-by-step explanation:

I hope this helps :)

Answer:

16.2 pounds

13.9 pounds

15.10 pounds

15.01 pounds

9514 1404 393

Answer:

  (x, y) = (12, -1)

Step-by-step explanation:

I find the simplest solution is often found using a graphing calculator.

  (x, y) = (12, -1)

__

We notice that the coefficients of x are identical, so we can eliminate x by subtracting the first equation from the second.

  (x +3y) -(x -2y) = (9) -(14)

  5y = -5 . . . . simplify

  y = -1 . . . . . divide by 5

  x = 14 +2y = 14 +2(-1) . . . . using the first equation to find x

  x = 12

Given:

The function f(x) = 3cos(x) - 2.

Required:

What are the minimum and maximum value of function?

Explanation:

To check maximum and minimum value of function.

First derivate the original function.

After putting first derivative equal to zero, critical points can be found.

Then, do second deritvative to check points of maxima and minima.

The critical points at which second derivative greater than zero. Point will be of minima.

The critical points at which second derivative less than zero. Point will be of maxima.

So,

Now, do second derivative test for maximum and minimum points

Answer:

Answer:

x= -6.6

Step-by-step explanation:

add 1.6 to -8.2 then the product is the answer.

Answer:

f(x) = \(x^3-6x^{2} +5x+12\)

zeros : -1,3,4

Step-by-step explanation:

Answer:

I solved for the function operation and got 4.53407019

Step-by-step explanation:

Hope this helps!! :)

The general solution to the given differential equation is:

y = (x/12) - (1/288)

How to solve the Differential Equation?

We want to solve the differential equation given as: y' - 24xy = -2x

The integrating factor is given by the exponential of the integral of the coefficient of y, which in this case is -24x. Therefore, the integrating factor is e^(-24x).

Multiplying the entire equation by the integrating factor, we get:

e^(-24x)y' - 24xe^(-24x)y = -2xe^(-24x)

The left side of the equation is the derivative of (e^(-24x)y) with respect to x:

(d/dx)(e^(-24x)y) = -2xe^(-24x)

Integrating both sides with respect to x, we have:

e^(-24x)y = ∫(-2xe^(-24x))dx

Integrating the right side, we get:

e^(-24x)y = -∫(2xe^(-24x))dx

To evaluate the integral on the right side, we can use integration by parts. Let's differentiate -2x and integrate e^(-24x):

u = -2x (differential of u = -2dx)

dv = e^(-24x) (integral of dv = -1/24e^(-24x)dx)

Using the integration by parts formula:

∫uv dx = uv - ∫v du

We can compute the integral as follows:

-∫(2xe^(-24x))dx = -[(-2x)(-1/24e^(-24x)) - ∫(-1/24e^(-24x))(-2dx)]

= -[x/12e^(-24x) + 1/12∫e^(-24x)dx]

= -[x/12e^(-24x) + 1/12(-1/24)e^(-24x)]

= -[x/12e^(-24x) - 1/(12*24)e^(-24x)]

= -[x/12e^(-24x) - 1/(288e^(-24x))]

= -[x/12 - 1/288]e^(-24x)

Substituting this back into the previous equation, we have:

e^(-24x)y = -[-(x/12 - 1/288)e^(-24x)]

Simplifying further:

e^(-24x)y = (x/12 - 1/288)e^(-24x)

Canceling out e^(-24x) on both sides:

y = x/12 - 1/288

Therefore, the general solution to the given differential equation is:

y = x/12 - 1/288

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Answer:

2A=B

Step-by-step explanation:

use ratio of axis to solve the scale. verify to second axis.

x axis: 4 A to 8 B

set Ratio A/4 = B/8 and solve

2A = B or A = (1/2)B

verify to sefond axis.

y axis: 3A to 6 B

A/3 = B/6

2A = B or A = (1/2)B

There was 4 dollar of discount on the total amount.

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value. Unitary method is a technique by which we find the value of a single unit from the value of multiple devices and the value of more than one unit from the value of a single unit. It is a method that we use for most of the calculations in math.

We are given that Adrian bought a jacket that costs 11 dollars and a scarf that costs 15 dollars.

At the counter, he received a discount. If he only paid 22 dollars total, then

Total cost 11 + 15 = 26

But 26 - 22 = 4

Therefore, the discount was 4 dollar.

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The required, general solution for x that satisfies the equation cos(x + 30) = -1 is x = (2n + 1)π - 30.

To find the general solution for the equation cos(x + 30) = -1, we can start by considering the general form of the cosine function. The cosine function has a period of 2π, meaning it repeats every 2π radians.

In this equation, we have cos(x + 30) = -1. Since the cosine function has a maximum value of 1 and a minimum value of -1, the only way for cos(x + 30) to equal -1 is if x + 30 is an odd multiple of π. We can write this as:

x + 30 = (2n + 1)π

Here, n is an integer representing the number of periods of the cosine function. To find the general solution, we can solve for x by subtracting 30 from both sides:

x = (2n + 1)π - 30

This equation gives us the general solution for x that satisfies the equation cos(x + 30) = -1. We can see that for each integer value of n, we have a different solution.

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The function f(x)* = 1 + x^2 is defined for all real numbers x, so the domain is all real numbers, or (-∞, ∞).

In determining the function's output values, one must consider its collection of feasible results to extract the range. Reviewing f(x)* exhibits a minimum value of 1 due to x^2 being perpetually non-negative, while adding another factor merely preserves positivity.

Concurrently as x skyrockets, so too does the value of f(x)* given that approaching infinity generates infinitely larger powers than any constant coefficient subordinated by it. Consequently, the overall range of f(x)* becomes [1, ∞), enwrapping all feasible solutions equivalent or superior to 1.

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Answer:

16 deliveries

Step-by-step explanation:

238 ≤ 10d + 78

160 ≤ 10d

16 ≤ d

Thus, he needs to make at least 16 deliveries to make at least $238 in one day.  Any less than 16 deliveries will cause him to fall short of his goal and any more than 16 deliveries will cause him to exceed his goal.

Answer:

Step-by-step explanation:

Suppose :

62% own an HDTV

16% own a computer

Using the addition rule : suggests that (62% + 16%) = 78% either own an HDTV or a computer.

The reasoning is wrong because ; since it is possible to own both an HDTV and also own a computer at the same time, the outcome of the addition rule is wrong as both events are independent. If both event cannot occur at the same time (mutually exclusive event) , then, the addition rule may be applied,. But since both can occur independently and each family can own an HDTV while also owning a computer, then the addition rule is wrong for the scenario described.

The group of people who participated in the study's sample survey was chosen at random to participate in it by the national grocery store chain. In this instance, the sample comprises the 1,000 customers from throughout the nation that participated in the survey. They are a segment of the total consumer base that frequents the chain's retail outlets.

The chain randomly surveyed 1,000 customers from around the country. It concluded from the study that 80% of all customers who hopped into the chain's stores were interested in the service. The nationwide grocery store chain randomly selected the participants in the study's sample survey from the general public.

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Explanation:

The given ordered pair is (4, ___) so we have x = 4 here.

We will plug this into f(x) and g(x) to get

f(4) = 6

g(4) = 7

So we have \(\frac{f(4)}{g(4)} = \frac{6}{7}\)

-----------

If you're curious where f(4) = 6 came from, all we're doing is looking through the set of points

f = {(0, 1), (2, 4), (4, 6), (6, 8)}

to see which has 4 listed first as the x coordinate. That point is (4,6) so x = 4 leads to y = 6, ie, f(x) = 6 when x = 4. A similar situation happens with g(x) as well.

9514 1404 393

Answer:

  45

Step-by-step explanation:

Let x and y represent the tens and ones digits, respectively. The 5 times the sum of digits is 5(x+y). The value of the digit-reversed number is (10y+x), so the required relation is ...

  5(x +y) = (10y +x) -9

The other relationship between the digits is given as ...

  4y = 1/2(10x)

A graphing calculator shows the solution to these equations is (x, y) = (4, 5).

The two-digit number is 45.

__

Additional comment

You can solve these equations in any of a variety of ways. Using a graphing calculator to find integer solutions is fast and easy, so is one of my favorites. Here, the coefficients on one equation are not easy multiples of those in the other, so substitution and/or elimination can get messy. In this situation, I like to use the "cross-multiplication" method, which starts with the equations in general form:

From the coefficients of these equations, differences of cross products are formed:

Then the solutions are the solutions to 1/d1 = x/d2 = y/d3:

(x, y) = (4, 5)   ⇒   the number is 45.

__

This method is one of several variations of Cramer's Rule, the general solution of systems of linear equations using matrix methods.

Answer: 9 hours

Step-by-step explanation:

13.5 hours / 1.5 hours = 9 hours

the probability that a job applicant rejected under suspicion of dishonesty was actually trustworthy is 0.814

Probability is a measure of the likelihood of a particular event occurring, expressed as a number between 0 and 1. It is a mathematical tool used to quantify the likelihood of an event occurring, or the likelihood of a proposition being true.

Step 1: Calculate the probability that an applicant is trustworthy:

P(trustworthy) = 95% = 0.95

Step 2: Calculate the probability that an applicant is untrustworthy:

P(untrustworthy) = 100% - 95% = 5% = 0.05

Step 3: Calculate the probability that the lie detector correctly identifies a trustworthy applicant as trustworthy:

P(trustworthy applicant correctly identified) = 65% = 0.65

Step 4: Calculate the probability that the lie detector incorrectly identifies a trustworthy applicant as untrustworthy:

P(trustworthy applicant incorrectly identified) = 15% = 0.15

Step 5: Calculate the probability that a job applicant rejected under suspicion of dishonesty was actually trustworthy:

P(job applicant rejected under suspicion of dishonesty was actually trustworthy) = P(trustworthy applicant correctly identified) x P(trustworthy) + P(trustworthy applicant incorrectly identified) x P(trustworthy)

= 0.65 x 0.95 + 0.15 x 0.95

= 0.814

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The sampling method used by the restaurant manager allows for efficient data collection and a representative sample, it may introduce bias and lacks randomization.

Based on the information provided, we can identify the following statements that are true about the sampling method used by the restaurant manager to evaluate customer satisfaction with the new smoothie:

1. The manager uses systematic sampling: The manager surveys every other customer who orders the new smoothie. This systematic approach involves selecting every second customer, providing a consistent and organized sampling method.

2. The sample is representative: By surveying every other customer who orders the new smoothie, the manager ensures that the sample includes a variety of customers, reflecting the customer population as a whole.

3. The sample size may be smaller than the total customer base: Since the manager surveys every other customer, the sample size may be smaller compared to surveying every customer. This allows for efficient data collection and analysis.

4.The sampling method may introduce bias: The manager may inadvertently introduce bias by only surveying every other customer. Customers who are skipped in the survey may have different preferences or opinions, leading to a potential bias in the results.

5. The sampling method lacks randomization: Randomization is not employed in this sampling method, as the manager systematically selects customers. This could potentially introduce bias or exclude certain types of customers from the sample.

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Answer:

sept one

Step-by-step explanation:

Answer:

Step-by-step explanation:

1) distribute the signs to the brackets

        2x^2 + 5 + 3x^2 - 5

2) solve

      5x^2 + 0

Hopefully, it's correct and helpful

Answer:

$5.86

Step-by-step explanation:

The total was $36.31

We were given the price of 1, which was $1.15

$36.31-$1.15 = $35.16 remaining

Since the other 6 friends ordered the same meal, they would have paid the same price, so we would divide by 6

$35.16/6 = $5.86

The inverse function will be h⁻¹(x) = { ( 3, -5 ) , ( 5, -7),( 6 ,-9),( 10,-12),(12,-16)}.

A function is defined as the expression that set up the relationship between the dependent variable and independent variable.

Given function is:-

h(x) = {(3, –5), (5, –7), (6, –9), (10, –12), (12, –16)}

The inverse function is given as:-

h(x,y) = h⁻¹( y,x )

So the inverse function will be:-

h⁻¹( x, y ) = { ( 3, -5 ) , ( 5, -7),( 6 ,-9),( 10,-12),(12,-16)}.

Therefore  inverse function will be h⁻¹(x) = { ( 3, -5 ) , ( 5, -7),( 6 ,-9),( 10,-12),(12,-16)}.

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Answer:

The answer is 390 × pi.

Step-by-step explanation:

Big cone:

V = 1/3 x pi x r^2 x h

= 1/3 x 3.14 x 9^2 x 15

= 1272.3 cubic inches

Small cone:

V = 1/3 x pi x r^2 x h

= 1/3 x 3.14 x 3^2 x 5

= 47.1 cubic inches  

1272.3 - 47.1 = 1225.2 cubic inches

1272/3.14 ≈ 390

The answer is 390 × pi.

Answer:

15/70, first option

Step-by-step explanation:

if you multiply the numerators and denomenators together, you get 15/70. you're able to reduce this, but it looks like the answer doesn't want you to reduce it :)

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

Explanation:

We multiply the numbers across the top (numerator) to get 3*5 = 15

Then across the bottom (denominator), we multiply the values to get 10*7 = 70

So we get \(\frac{3}{10}\times\frac{5}{7} = \frac{3\times 5}{10\times7} = \frac{15}{70}\)

That's how we end up with 15/70

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Extra info:

Note how 15 and 70 have the GCF 5, so we can divide both values by 5

This means 15/70 reduces to 3/14; however, your teacher has decided not to reduce (since 3/14 is not one of the answers). So that means we should stick with 15/70 instead.