can someone answer this ASAP thanks

Answer:

y= -2/7x +4

Step-by-step explanation:

Answer: -2/7

Step-by-step explanation:

1. Use the slope equation (y2-y1)/(x2-x1) you take 2 coordinates in the chart and use the second coordinates y output minus the first corrdinates y output and the same for the x inputs and whatever you get is your slope

1. Plug the first two coordinates into the slope formula:

(6-8)/(-7-(-14))

2. Solve:

-2/7!

I hope this helped :)

The instantaneous rate of change of f when a = 4 is -34.

A. To find f(a+h), substitute a+h for x in the function:

f(a+h)= 3(a+h)² - 5(a+h) - 1

= 3a² + 6ah + 3h² - 5a - 5h - 1

= 3a² - 2a - 1 + 6ah + 3h² - 5h

= f(a) + 6ah + 3h² - 5h

B. To find f(a+h) - f(a)/h, first calculate f(a+h) and f(a) as calculated in part A and B:

f(a+h) = f(a) + 6ah + 3h² - 5h

f(a) = 3a² - 2a - 1

Substitute the values for f(a+h) and f(a) into f(a+h) - f(a)/h:

f(a + h)–f(a)/h = [f(a) + 6ah + 3h² - 5h] - [3a² - 2a - 1]/h

= 6ah + 3h² - 5h - 3a² + 2a + 1/h
= (6ah - 3a² + 2a + 1/h) + (3h² - 5h/h)

= (6ah - 3a² + 2a + 1/h) + (3h- 5)/h

C. To find the instantaneous rate of change of f when a = 4, substitute a = 4 into the equation from part B:

f(a + h)–f(a)/h = (6ah - 3a² + 2a + 1/h) + (3h- 5)/h

= (6(4)h - 3(4)² + 2(4) + 1/h) + (3h- 5)/h

= (24h - 48 + 8 + 1/h) + (3h - 5)/h

= (24h - 39 + 1/h) + (3h - 5)/h

To find the instantaneous rate of change of f when a = 4, take the limit as h approaches 0:

lim h→0 (24h - 39 + 1/h) + (3h - 5)/h

= lim h→0 (24h - 39 + 1/h) + (3h - 5)/h

= -39 + 5

= -34

Conclusion: The instantaneous rate of change of f when a = 4 is -34.

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The end behavior is

Generally, End behavior refers to the long-term behavior or trend of a function as the input values (x-values) approach positive or negative infinity. It is often determined by the leading term of the function, which is the term with the highest degree of x. For example, the end behavior of a function like f(x) = x^2 is that it increases without bound as x approaches positive infinity, and similarly it decreases without bound as x approaches negative infinity.

\(\sqrt[3]{6x}\) has an end behavior of as x approaches positive infinity, it approaches positive infinity and as x approaches negative infinity it approaches negative infinity.

\($\sqrt[3]{x-5}-6$\) has an end behavior of as x approaches positive infinity, it approaches negative infinity and as x approaches negative infinity it approaches negative infinity.

\($-3 \sqrt[3]{x+3}+7$\) has an end behavior of as x approaches positive infinity, it approaches positive infinity and as x approaches negative infinity it approaches positive infinity.

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Answer:

Step-by-step explanation:

You want to know the down payment, amount financed, monthly payment, and total paid for a home costing $340,000 with a 12% down payment and a 30 year loan at 5.8%.

The down payment is 12% of the purchase price:

  $340,000 × 0.12 = $40,800

Julie paid $40,800 as a down payment.

The amount financed is the remaining amount of the house value after the down payment is made:

  $340,000 -40,800 = $299,200

The amount financed is $299,200.

The monthly payment is found using the amortization formula:

  A = P(r/12)/(1 -(1 +r/12)^(-12·t))

where P = principal financed, r = annual interest rate, t = number of years

  A = $299,200(0.058/12)/(1 -(1 +0.058/12)^(-12·30)) ≈ $1,755.57

Julie's monthly payment is $1755.57.

If Julie makes 360 payments of $1755.57, together with her down payment, her total cost is ...

  360 × $1755.57 + 40,800 = $672,805.20

Julie will spend $672,805.20 on this home.

The sum of the series [infinity] (−1)n − 1/n^2 * (13^n), where n starts from 1, can be approximated. The sum of this series is approximately -3.2891 when rounded to four decimal places.

To calculate this approximation, we can use the concept of an alternating series. Since the series alternates between positive and negative terms, we can apply the Alternating Series Test to determine its convergence.

By evaluating the terms of the series, we observe that the absolute value of each term decreases as n increases. This indicates that the series converges.

To approximate the sum, we can calculate the partial sums of the series until we reach a desired level of accuracy. By adding up a significant number of terms, we find that the sum is approximately -3.2891 when rounded to four decimal places.

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Answer:

14 m

Step-by-step explanation:

Speed = 28 mph

Time = 30 minutes = 30/60 = 1/2 hour

Distance  = speed * time

               = 28 * \(\frac{1}{2}\)

                = 14 m

Answer:

14 miles

Step-by-step explanation:

Answer:

\(\displaystyle x = \frac{25\sqrt{2}}{2}\)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Trigonometry

Step-by-step explanation:

Step 1: Define

Identify variables

Angle θ = 45°

Adjacent Leg = 25

Hypotenuse = x

Step 2: Solve for x

Answer:

The answer would be A.

Step-by-step explanation:

You would take 9 x 10^5 = 900000 and divide that by 16 to get 56250.

After that, you move the decimal over by 4 to make it a number with only one number above zero in front of the decimal to make 5.625 (negate the 0 bc it does not mean anything after you moved the decimal over)

Since you moved it over by four places, the exponent next to the 10 will be 4, making the final answer 5.625 x 10^4

Good luck and hope this helps!!

Answer:

f(x) = -3(6)^x + 2

Step-by-step explanation:

Answer: angleAOB = 40°

Step-by-step explanation: Drawing these angles, we see that angle AOC is the sum of angle AOB and angle BOC, so:

angleAOC = angleAOB + angleBOC

108 = 3x + 4 + 8x - 28

108 + 24 = 11x

11x = 132

x = 12

Knowing x, to find angleAOB, just substitute and calculate:

angleAOB = 3x+4

angleAOB = 3.12 + 4

angleAOB = 40°

The angle AOB is 40°.

Answer:

70

Step-by-step explanation:

The three angles should add to 180 degrees because they come from the same straight line.  So 180-52-58=70.

Answer:

∠q = 70

Step-by-step explanation:

Angles formed on a straight line add up to equal 180°

Thus, 180 = 52 + 58 + q

52 + 58 = 110

180 = 110 + q

180 - 110 = 70

Hence, q = 70

Answer: x=5 or 5 Tickets

Step-by-step explanation:

186x + 16 = 946

186x + 16 = 946

          -16      -16

186x  = 930

186x divided by 186x = 0

930 divided by 186x = 5

Therefore our answer is, x=5 or 5 Tickets

Note that based on probabilities,

The expected number of Democrats on the committee is 5.

The expected number of states represented on the committee is 26.

The expected number of states such that both of the state's senators are on the committee is 9.09.

a)  The probability that a randomly chosen senator is a Democrat is 50/100 = 1/2.

So, the expected number of Democrats on a committee of size 10 is

1/2 * 10 = 5.

b) The minimum number of   states that can be represented on a committee of size 10 is 2, and the maximum numberis 50.

The expected number of states representedon the committee is the average of these two values, which is (2 + 50)/  2 = 26.

c)  There are 50 states, and each state has 2 senators. So, there are a total of 100 pairs of senators.

The probability that a randomly chosen pair of senators both belong to the same state is 50/100 * 49/99

= 1/11.

The expected number of states such that both of the state's senators are on the committee is 100 * 1/11 = 9.09.

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26400 is what they travel in feet in a day divide that by 24 and that should be your answer

See attachment for math work and answer.

In order for a 22% probability that a gallon of gas costs less than 1.80, the standard deviation have to be 39.21 cents.

Given data,

The average retail price of gasoline (all types) for the first half of 2005 was 212.2 cents.

Round z-value calculations to two decimal places and final answer to the nearest cent.

Method First, we have to calculate the z-value of 1.80.

Mean = 212.2 cents Standard deviation = ?

Value = 180 cents

Z = (x - μ) / σ

where, x = 180

μ = 212.2

σ = standard deviation of price distribution

Z = (180 - 212.2) / σ0.22 = P(z < (180 - 212.2) / σ)From standard normal distribution table (attached),

P(z < 0.84) = 0.7995.0.22 = 0.7995(180 - 212.2) / σσ = (180 - 212.2) / (0.22 × 0.7995)σ = 39.21 cents

Hence, the standard deviation have to be 39.21 cents in order for a 22% probability that a gallon of gas costs less than 1.80.

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The idea that group work theories are appropriate for all clients all the time is a myth (Third option).

About Group Process:

The term "group process" describes how people collaborate within an organization to complete tasks. Typically, organizations invest a lot of time and effort into defining and achieving goals, but little thought is usually given to how those goals are affecting the most valuable resource of a group - its people.

Since different clients have different demands and priorities, group work might not be suitable for many, but not for all. Different types of clients require different types of collaboration, type of group or individuals, and working strategies that work for their goals the best.

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The curl of the vector field

curl(F) = -2ey cos(z)i + 8ez cos(x)j - 9ex cos(y)k

The divergence of the vector field

div(F) = 9e^x sin(y) + 2e^y sin(z) + 8e^z

To find the curl of the vector field F(x, y, z) = 9ex sin(y), 2ey sin(z), 8ez sin(x), we need to compute the determinant of the curl matrix.

(a) Curl of F:

The curl of a vector field F = P(x, y, z)i + Q(x, y, z)j + R(x, y, z)k is given by the following formula:

curl(F) = (∂R/∂y - ∂Q/∂z)i + (∂P/∂z - ∂R/∂x)j + (∂Q/∂x - ∂P/∂y)k

In this case, we have:

P(x, y, z) = 9ex sin(y)

Q(x, y, z) = 2ey sin(z)

R(x, y, z) = 8ez sin(x)

Taking the partial derivatives, we get:

∂P/∂y = 9ex cos(y)

∂Q/∂z = 2ey cos(z)

∂R/∂x = 8ez cos(x)

∂R/∂y = 0 (no y-dependence in R)

∂Q/∂x = 0 (no x-dependence in Q)

∂P/∂z = 0 (no z-dependence in P)

Substituting these values into the curl formula, we have:

curl(F) = (0 - 2ey cos(z))i + (8ez cos(x) - 0)j + (0 - 9ex cos(y))k

= -2ey cos(z)i + 8ez cos(x)j - 9ex cos(y)k

Therefore, the curl of the vector field F is given by:

curl(F) = -2ey cos(z)i + 8ez cos(x)j - 9ex cos(y)k

(b) Divergence of F:

The divergence of a vector field F = P(x, y, z)i + Q(x, y, z)j + R(x, y, z)k is given by the following formula:

div(F) = ∂P/∂x + ∂Q/∂y + ∂R/∂z

In this case, we have:

∂P/∂x = 9e^x sin(y)

∂Q/∂y = 2e^y sin(z)

∂R/∂z = 8e^z

Substituting these values into the divergence formula, we have:

div(F) = 9e^x sin(y) + 2e^y sin(z) + 8e^z

Therefore, the divergence of the vector field F is given by:

div(F) = 9e^x sin(y) + 2e^y sin(z) + 8e^z

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Answer:

-95

Step-by-step explanation:

4+9(3+11)-15^2

4+9(14)-15^2

4+9(14)-225

4+126-225

130-225

-95

Answer:

c?

Step-by-step explanation:

It's the closest number to 51.

1245/24

Answer:

5(2.2y+3.4)=5(y-2)+6y has no solution

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

The third one down.

32.1y+3.1+2.4y-8.2=34.5y-5.1

Combine like terms

34.5y + 3.1 - 8.2 = 34.5y - 5.1

34.5y - 5.1 = 34.5y - 5.1              y can be anything

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

Remove the brackets from D

11y + 17 = 5y - 10 + 6y

11y + 17 = 11y - 10

This gives 17 = - 10 which of course is nonsense.

D has no solution.

The probability of success, p, is the same for each trial. Each outcome is either a success (P) or a failure (Q). The correct option is A.

Independence is a fundamental notion in probability theory, as in statistics and the theory of stochastic processes.

You should perform x trials until you observe a success.

We have given that,

There are exactly two possible outcomes success and failure.

We have to determine the following is NOT a common characteristic of a binomial distribution.

By process of elimination:-

A binomial experiment is a statistical experiment that must meet certain requirements

All trials are independent.

There are a fixed number of n trials.

The probability of success, p, is the same for each trial.

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Answer:

this is the answer I got hope it helps

The side length of a single cube will be 6 centimeters.

The volume of the cube will be -

V = (a x a x a) cubic units

We have the volume of Prism as V[P] = 25920 cm³ which is made up of [n] = 120 cubes of the same volume.

The volume of a single cube will be -

V[c] = V[P]/n

V[c] =  25920/120

V[c] = 216 cm³

Volume of a cube = V[c] = (a x a x a)

Equating volume, we get -

a³ = 216

a = 6 cm

Therefore, the side length of a single cube will be 6 centimeters.

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Answer:

1) Slope: 3; y-intercept: -7

2) Slope: 2/3; y-intercept: 1

Step-by-step explanation:

y = mx + b; m is slope and b is y-intercept

1. y = 3x - 7

The equation is already in slope-intercept form, so you can find the slope and intercept.

Slope: 3

y-intercept: -7

2. y - 1 = 2/3x

For this one, you have to convert this into slope-intercept form (solving for y)

y - 1 = 2/3x

Add 1 to both sides

y - 1 + 1 = 2/3x + 1

y = 2/3x + 1

Now that the equation is in slope-intercept form, you can get the slope and y-intercept.

Slope: 2/3

y-intercept: 1

Representation of the sentence "I want a waffle cone with vanilla ice-cream, without sprinkles or chocolate syrup" is P(w) ∧ P(v) ∧ ¬P(s) ∧ ¬P(c).

Sets of ice-cream preferences are W = wants a Waffle cone, V = wants Vanilla, S = wants Sprinkles, C = wants Chocolate syrup.

To represent the set expression "I want a waffle cone with vanilla ice-cream, without sprinkles or chocolate syrup",

we will use the following symbols for each condition:

P(w) = Waffle coneP(v) = VanillaP(s) = SprinklesP(c) = Chocolate syrup.

Using these symbols, we can represent the given sentence as: P(w) ∧ P(v) ∧ ¬P(s) ∧ ¬P(c).

Hence, the set expression that best represents the sentence "I want a waffle cone with vanilla ice-cream, without sprinkles or chocolate syrup" is P(w) ∧ P(v) ∧ ¬P(s) ∧ ¬P(c).

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Using proportions, it is found that the number 523 is 523 units from zero.

A proportion is a fraction of a total amount, and equations can be built to find the desired measures in the context of the problem using arithmetic operations such as multiplication and division with the unit rates of the measures.

One example of application is for the digit values of a number, as:

And so on...

For the number 523 given in this problem, since each unit is worth one, the number of units that it is away from zero is given by:

523/1 = 523 units.

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Answer: x = 151.6

Step-by-step explanation: In the figure, we can tell that the large triangle is isosceles, as two of its sides equals 102. Therefore, the perpendicular line labeled as w in the diagram bisects segment x. In addition, by the definition of cosine, we have that cos(42)=(x/2)/102, so solving for x yields x=204cos(42), which is approximately 151.6.

the triangle has two equal sides of 102, that means is an isosceles and thus twin sides will also make twin angles, so in short the triangles are congruent and "w" is cutting "x" into two equal halves, so let's simply find the half of the left, call it "z" and double it.

\(\cos(42^o )=\cfrac{\stackrel{adjacent}{z}}{\underset{hypotenuse}{102}}\implies 102\cos(42^o )=z \\\\\\ 2[102\cos(42^o )]=2z\implies 151.6\approx 2z = x\)

Answer:

c = 60

Step-by-step explanation:

A triangle = 180 degrees

180-(15+105)=c

c=60

Step-by-step explanation:

you don't know the meaning of

\(y = {h}^{ - 1} (x)\)

it means it is the inverse function to h(x).

the regular function assigns an y value to every x value.

the inverse function now turns this around and finds for a given y value the original x value.

so, the inverse function is easier understood, if we would write it

\(x = {h}^{ - 1} (y)\)

but just for formal reasons, we don't define functions this way but do it like above (x is the input, y the output value).

just, the understanding of an inverse function is a I just described it.

that means for the points, simply x and y values trade places.

the point (1, 9) turns into (9, 1) (it means 1 was the original x value when the original function delivered 9 a result).

and the point (3, 2) turns into (2, 3).

so, move the 2 green dots to these coordinates.