1. -5(-4/7)=
2. 2(-3)=
3. -2(-2.6)
4. -5(0.8)

Answer:

y-intercept: (0,-3)

Step-by-step explanation:

Answer:

y-intercept (0,−3)

Step-by-step explanation:

Set c = {north america, south america, europe, asia, australia, africa, antarctica}. Set-builder notation: c = {x | x is continent and x ∈ {north america, south america, europe, asia, australia, africa, antarctica}}.

What is set ?

A set is the mathematical model for a collection of different things; a set contains elements or members, which can be mathematical objects of any kind: numbers, symbols, points in space, lines,etc.

a) The set c = {north america, south america, europe, asia, australia, africa, antarctica} can be written in set-builder notation as:

c = {x | x is a continent and x ∈ {north america, south america, europe, asia, australia, africa, antarctica}}

b) The set-builder notation can be read as "the set c, such that x is a continent and x is an element of the set {north america, south america, europe, asia, australia, africa, antarctica}".

Set c = {north america, south america, europe, asia, australia, africa, antarctica}. Set-builder notation: c = {x | x is continent and x ∈ {north america, south america, europe, asia, australia, africa, antarctica}}.

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Answer:

Step-by-step explanation:

(f-g)(x) = f(x) - g(x) = |5x + 1| - 3  - 4 = |5x + 1| - 7

Answer:

36

Step-by-step explanation:

2 envelopes x 3 drawers = 6 envelopes.

Each envelope has six stickers.

6 x 6 = 36

Answer:

36

Step-by-step explanation:

Answer:   y=2x-15

Step-by-step explanation:

Answer: False

Step-by-step explanation: :)

f(x) is increasing on the intervals (−∞, π/4) and (5π/4, ∞), and decreasing on the interval (π/4, 5π/4).

To determine the intervals on which f(x) = 3sin(x) + 3cos(x) is increasing and decreasing, we need to find the derivative of f(x) and examine its sign.

f'(x) = 3cos(x) - 3sin(x)

To find where f'(x) = 0, we set the derivative equal to zero and solve:

3cos(x) - 3sin(x) = 0

cos(x) - sin(x) = 0

From this equation, we can see that it is satisfied when x = π/4 and x = 5π/4.

Now, we analyze the sign of f'(x) in different intervals:

For x < π/4: f'(x) > 0, so f(x) is increasing.

For π/4 < x < 5π/4: f'(x) < 0, so f(x) is decreasing.

For x > 5π/4: f'(x) > 0, so f(x) is increasing.

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Answer:

The minimum number of different rooms for accommodating 390 classes if there are 10 different time periods is 39

Step-by-step explanation:

Number of time periods = 10

Number of Classes = 390

Now, if we have a single room, then we can accommodate 10 classes

if we have 2 rooms, we can accommodate (10)(2) = 20 classes

and so on

so we have the relation,

(number of rooms)(number of time periods) = (number of classes that can be accommodated)

We need to find the number of rooms for 390 classes, given that number of time periods is 10, so we get,

(number of rooms)(10) = 390

number of rooms = 390/10

number of rooms =39

Answer: B

Step-by-step explanation: B is larger by about 9.42 in

Option b) \(x^{2} -x-\sqrt{x} +3\) is not a polynomial

Polynomial equation is equation of dependent variables which is related to the independent variable.

since, the equation ,\(x^{2} -x-\sqrt{x} +3\) contains the square root of variable that's why its not a polynomial.

Thus, Option b) \(x^{2} -x-\sqrt{x} +3\) is not a polynomial

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Answer:

The equation of the vertical asymptote is

x = -20 since that value of x makes the denominator equal to zero.

Answer:

from point A to A' would be 10 points away

Step-by-step explanation:

Answer:

10 units away

Step-by-step explanation:

got it correct on Edge 2021

Let's start by finding out how much cranberry juice is currently in the 30 oz. mixture. If the mixture is 40% cranberry juice, then the amount of cranberry juice in ounces is:

0.4 x 30 = 12 oz.

We want to end up with a 30 oz. mixture that is 20% cranberry juice. So the amount of cranberry juice in ounces we need in the new mixture is:

0.2 x 30 = 6 oz.

To achieve this, we need to remove some of the original mixture, which contains 12 oz. of cranberry juice, and replace it with seltzer, which contains 0 oz. of cranberry juice. Let's say we remove x oz. of the original mixture.

The amount of cranberry juice left in the mixture after we remove x oz. is:

12 - x

The amount of seltzer left in the mixture after we remove x oz. is:

30 - x

If we replace the x oz. of mixture we removed with seltzer, the amount of cranberry juice in the new mixture is:

12 - x + 0 = 12 - x

And the amount of seltzer in the new mixture is:

30 - x + x = 30

We want the new mixture to contain 6 oz. of cranberry juice, which is 20% of the total 30 oz. So we can set up an equation:

(12 - x) / 30 = 0.2

Simplifying this equation, we get:

12 - x = 6

x = 6

So we need to remove 6 oz. of the original mixture and replace it with 6 oz. of seltzer to end up with a 30 oz. mixture that is 20% cranberry juice.

Answer:

Below

Step-by-step explanation:

The Answer Will Be 6 Percent.

The thing needed to prove these triangles congruent using the ASA postulate is B. Nothing else is needed to use the ASA postulate.

The triangles are said to be congruent if two angles and the included side of one triangle match two angles and the included side of another triangle.

It should be noted that the triangles given are identical and the sides are equal.

Therefore, the thing needed to prove these triangles congruent using the ASA postulate is that nothing else is needed to use the ASA postulate.

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System sequence diagram is the best model to use to document the inputs and the outputs to a system.

In the realm of software engineering, a sequence diagram, also known as a system sequence diagram (SSD), depicts process interactions grouped in chronological order. It illustrates the processes involved and the order in which messages must be exchanged for the processes to provide the functionality. In the 4+1 architectural perspective model of the system under development, sequence diagrams are often connected to use case realizations. Event diagrams and event scenarios are other names for sequence diagrams.

The diagrams display the events that external actors produce, their order, and any potential inter-system events for a given scenario of a use case. [1] The diagram emphasizes events that cross the system boundary from actors to systems and treats all systems as black boxes. The main success scenario of the use case, as well as frequent or complex alternate situations, should be represented using a system sequence diagram.

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The difference quotient for the given function is 9 -2/h.

The difference quotient for the given function can be calculated as:

[f(x+h) - f(x)]/h

= [(3(x+h)² - 2(x+h) + 5) - (3x² - 2x + 5)]/h

= (3x² + 6xh + 3h² - 2x - 2h + 5 - 3x² + 2x - 5)/h

= (6xh + 3h² - 2h)/h

= (6x + 3h -2)/h

Simplifying the expression further, we get:

(6x + 3h -2)/h = 6 + 3h/h -2/h

= 6 + 3 -2/h

= 9-2/h

Therefore, the difference quotient for the given function is 9 -2/h.

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"Your question is incomplete, probably the complete question/missing part is:"

Find the difference quotient [f(x+h)-f(x)]/h, where h≠0, for the function below.

f(x)=3x² -2x+5. Simplify your answer as much as possible.

\(Hello\) \(There!\)

Quite easy...

It's -20.

Hopefully, this helps you!!

P.S I love late points.

:>

\(AnimeVines\)

Answer:

-4

Step-by-step explanation:

23+1=24

24/-6=-4

Answer:

502.4 cubic unit

Step-by-step explanation:

Given data

The parameter for the cylinder is as follows

Height h= 10units

Radius r= 4 units

We know that the expression for the volume of a cylinder is

V= πr^2h

substitute

V= 3.14*4^2*10

V= 3.14*16*10

V= 502.4 cubic unit

Hence the volume is  502.4 cubic unit

Answer:

Second choice, 3

Step-by-step explanation:

a^2 + b^2 = c^2

4^2 + b^2 = 5^2

16 + b^2 = 25

b^2 = 9 (square root both sides)

b = 3

Answer:

\(x\le 6\)

Step-by-step explanation:

We need to solve the given inequality \(8x+6\le 54\) ....(1)

Subtract 6 on both sides of the equation as :

\(8x+6-6\le 54-6\\\\8x\le 48\)

Dividing both sides of the equation by 8 such that,

\(x\le 6\)

So, the value of x is less than equal to 6. Hence, this is the required solution.

I agree with Andre. There are only two unique bases, not seven different faces as Noah suggests.

Both bases are the same, so you only need to calculate their area once and double it.

The other five rectangles have the same height, meaning you can calculate their areas more efficiently.

Noah's approach of finding the area of seven different faces is unnecessary and overcomplicates the problem.

Thus, I agree with Andre because his process is correct and more straightforward.

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The proportionate reduction in error for knowing the value of the independent variable is 0.54.

The variable which does not depend on any variable and hence independent are known as independent variable.

Given that,

sum of squares for a regression equation was 153.7 = SST

error sum of squares was 82.6 = SSE

SS (reg) = SST - SSE

                153.7 - 82.6

                 SS(reg) = 71.1

The proportionate reduction in error for knowing the value of the independent.

             = 1 - \(\frac{(SS)reg}{SST}\)

             = 1 - \(\frac{71.1}{153.7}\)

             = 1 - 0.46

             = 0.54

The proportionate reduction in error for knowing the value of the independent variable is 0.54.

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Using L'Hôpital's rule, the limit of cot(4x)/sin(8x) as x approaches 0 is -1/2.

To find the limit of the function f(x) = cot(4x)/sin(8x) as x approaches 0, we can apply L'Hôpital's rule as applying the limit directly gives an intermediate form.

L'Hôpital's rule states that if we have an indeterminate form, we can differentiate the numerator and denominator separately and take the limit again.

Let's evaluate limit of cot(4x)/sin(8x) as x approaches 0 which implies

Let's differentiate the numerator and denominator:

f'(x) = [d/dx(cot(4x))] / [d/dx(sin(8x))]

To differentiate cot(4x), we can use the chain rule:

d/dx(cot(4x)) = -csc^2(4x) * [d/dx(4x)] = -4csc^2(4x)

To differentiate sin(8x), we use the chain rule as well:

d/dx(sin(8x)) = cos(8x) * [d/dx(8x)] = 8cos(8x)

Now, we can rewrite the limit using the derivatives:

lim(x→0) [cot(4x)/sin(8x)] = lim(x→0) [(-4csc^2(4x))/(8cos(8x))]

Let's simplify this expression further:

lim(x→0) [(-4csc^2(4x))/(8cos(8x))] = -1/2 * [csc^2(0)/cos(0)]

Since csc(0) is equal to 1 and cos(0) is also equal to 1, we have:

lim(x→0) [cot(4x)/sin(8x)] = -1/2 * (1/1) = -1/2

Therefore, the limit of cot(4x)/sin(8x) as x approaches 0 is -1/2.

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The given question is incomplete, the correct question is

find the limit. use l'hopital's rule if appropriate. if there is a more elementary method, consider using it. lim x→0 cot(4x)/sin(8x)

Answer:

1. Equation: x/-9=-16

solution: x=144

2. Equation:15*x=-75

solution: x=-5

3.Equation:0.75n=36

solution: n=48

Step-by-step explanation:

The probability that an individual got the flu given that they received the  vaccine is 0.739130435.

What is probability ?

Probability is the branch of mathematics concerning numerical descriptions of how likely an event is to occur, or how likely it is that a proposition is true.

Bayes' theorem to solve for the probability that an individual got the flu given that they received the vaccine. Bayes' theorem states that:

P(A|B) = P(B|A) * P(A) / P(B)

where P(A|B) is the probability of event A given that event B has occurred, P(B|A) is the probability of event B given that event A has occurred, P(A) is the prior probability of event A, and P(B) is the prior probability of event B.

The probability of event B given that event A has occurred, P(B|A), can be calculated as the general chance of both events happening, which is .27278402.

So, using Bayes' theorem:

P(A|B) = P(B|A) * P(A) / P(B) = .27278402 * .33208489 / .06803995 = .739130435

Therefore, the probability that an individual got the flu given that they received the vaccine is 0.739130435.

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The probability that an individual got the flu is approximately 1.09.

Let's call the probability of receiving a placebo "P(placebo)" and the probability of not getting the flu "P(no flu)". Then, using the information given, we have:

P(placebo) = 0.33208489

P(no flu) = 0.93196005

P(placebo and no flu) = 0.27278402

To find the probability of getting the flu given that they received the vaccine (not a placebo), we can use the formula for conditional probability:

P(flu | vaccine) = P(flu and vaccine) / P(vaccine)

Since the individual either received a placebo or a vaccine (but not both), the probability of receiving a vaccine is given by:

P(vaccine) = 1 - P(placebo) = 1 - 0.33208489 = 0.66791511

The probability of getting the flu and receiving a vaccine is equal to the complement of the probability of getting the placebo and not getting the flu, which is:

P(flu and vaccine) = 1 - P(placebo and no flu) = 1 - 0.27278402 = 0.7272159

Finally, substituting these values into the formula for conditional probability, we get:

P(flu | vaccine) = P(flu and vaccine) / P(vaccine) = 0.7272159 / 0.66791511 = 1.09103623

So, the probability of getting the flu given that an individual received the vaccine is approximately 1.09.

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Answer:

gggggggg

Step-by-step explanation: