The graph below is the graph of a function.
True or false

Answer: y=-4/3x+22/3

Step-by-step explanation:

the slope of a perpendicular line is the "negative reciprocal" of the slope of the original line

y=-4/3x+b

if you put in the x and y values

18=-4/3*-8+b

18-32/3=b

b=22/3

y=-4/3x+22/3

The value of the variables are x is 5. and AB is 10

Given, the sides of the rectangle are:

length = 2x ₊ 2 and

breadth = 3x ₋ 2

perimeter of the rectangle = 48 units

2(l ₊ b) = 48

2(3x ₋ 2 ₊ 2x ₊ 1) = 48

2(5x ₋ 1) = 48

10x ₋ 2 = 48

10x = 48 ₊ 2

10x = 50

x = 50/10

x = 5

therefore, length = 2x ₊ 1 = 2(5) ₊ 1 = 11 and

breadth = 3x ₋ 2 = 3(5) ₋ 5 = 10

hence we get the value of x as 5

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Answer:

x = 11

Step-by-step explanation:

All the sides of a rhombus are equal, so you can set the equations equal to one another.

2x + 46 = 7x - 9

Subtract 2x from both sides

46 = 5x - 9

Add 9 to both sides

55 = 5x

Divide both sides by 5

x = 11

Mark my answer as the brainliest if it helped you out!

Answer: What question do I answer

Step-by-step explanation: and dude please stop with this violating nonsense

A basis {p(x),q(x)} for the vector space {f(x) € P3[x] | f'(1) = f(1)} where P3[x] is the vector space of polynomials in with degree less than 3. p(x) = ,q(x) =  is {p(x) = x² - 1, q(x) = x² + x - 2}

The vector space {f(x) € P3[x] | f'(1) = f(1)} consists of polynomials of degree less than 3 with the property that their derivative at x = 1 is equal to the polynomial itself evaluated at x = 1. To find a basis for this space, we can start by finding a set of two polynomials that satisfy this property, and that are linearly independent.

One possible choice for p(x) is x² - 1, and one possible choice for q(x) is x² + x - 2. These polynomials satisfy the required property (i.e., their derivatives at x=1 are equal to the polynomials themselves evaluated at x=1), and they are linearly independent because their leading terms (x² in both cases) are distinct.

Thus, {p(x) = x² - 1, q(x) = x² + x - 2} is a basis for the vector space {f(x) € P3[x] | f'(1) = f(1)}.

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Answer:

  17 bars

Step-by-step explanation:

Peter wants to compute the maximum number of bars he can load safely if the load limit of 1200 kg and the bar weight of 60 kg are each rounded to the number of significant digits those numbers have.

The error in a rounded number is assumed to be as much as half of the least significant digit of the number.

Peter's load limit may actually be as low as ...

  1200 kg - (1/2)(100 kg) = 1150 kg . . . . . . . 1200 is rounded to nearest 100

Peter's bar weight might be as high as ...

  60 kg + (1/2)(10 kg) = 65 kg . . . . . . . . . . . 60 is rounded to nearest 10

If Peter has maximum-weight bars and does not want to exceed the minimum his load limit might be, the number of bars he can load is ...

  (1150 kg) / (65 kg/bar) ≈ 17.7 bars

The greatest number of bars Peter can load safely is 17.

Answer:

the answer is 54 cards . . .....

Answer:

The height is 1.25m.

Step-by-step explanation:

Volume = 1/3 πr²h

Given:

V = 13.4 m³

r = 3.2 m

Asked: height (h)

Substitute the formula with the given values then solve

13.4m³ = 1/3π(3.2m)²h

13.4(3) = 10.24πh

40.2 = 10.24πh

h = 40.2/10.24π

h = 1.25m

The height of the cone is 1.25 meters.

We know that the volume of the cone is given by

V = (1 / 3) * π * r ^2 * h................equation 1

where,

V is the volume of the cone.

r is the radius of the cone's base

h is the height

The volume and radius of the cone are given,

V = 13.4 m

r = 3.2m

substituting these values in equation 1 we get,

13.4 = (1 / 3) * 3.14 * 3.2 ^ 2 * h

on simplifying further

13.4 = 10.717  * h

h = 1.25m

The height of the cone is 1.25 meters.

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Answer:

1/3 chance

Step-by-step explanation:
if there are 3 numbers it’s a 1/3 chance if you don’t account for any other factors

a) the Central Limit Theorem conditions are met. b) The 95% confidence interval for the proportion of adults who believe in protecting the rights of those with unpopular views is approximately 0.7934 to 0.8466.

c) . A 90% confidence interval would be wider than the 95% interval

To verify the Central Limit Theorem (CLT) conditions, we need to check the following:

1. Random Sampling: The survey states that 800 adults were randomly selected, which satisfies this condition.

2. Independence: We assume that the responses of one adult do not influence the responses of others. This condition is met if the sample is collected using a proper random sampling method.

3. Sample Size: To apply the CLT, the sample size should be sufficiently large. While there is no exact threshold, a common rule of thumb is that the sample size should be at least 30. In this case, the sample size is 800, which is more than sufficient.

Therefore, the Central Limit Theorem conditions are met.

b. To find a 95% confidence interval for the proportion of adults who believe in protecting the rights of those with unpopular views, we can use the formula for calculating a confidence interval for a proportion:

CI = p ± z * √(p(1-p)/n)

where:

- p is the sample proportion (82% or 0.82 in decimal form).

- z is the z-score corresponding to the desired confidence level. For a 95% confidence level, the z-score is approximately 1.96.

- n is the sample size (800).

Calculating the confidence interval:

CI = 0.82 ± 1.96 * √(0.82(1-0.82)/800)

CI = 0.82 ± 1.96 * √(0.82*0.18/800)

CI = 0.82 ± 1.96 * √(0.1476/800)

CI = 0.82 ± 1.96 * √0.0001845

CI ≈ 0.82 ± 1.96 * 0.01358

CI ≈ 0.82 ± 0.0266

The 95% confidence interval for the proportion of adults who believe in protecting the rights of those with unpopular views is approximately 0.7934 to 0.8466.

c. A 90% confidence interval would be wider than the 95% interval. The reason is that as we increase the confidence level, we need to account for a larger margin of error to be more certain about the interval capturing the true population proportion. As a result, the interval needs to be wider to provide a higher level of confidence.

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Answer

48

Step-by-step explanation:

Semi-finals implies there are FOUR teams left...12 people implies THREE people per team

Answer:

Step-by-step explanation:

HI there!

From the question;

Principal (p) = 300

Annual rate (r) = 3%

Time (t) = 4 yrs

Now;

Interest (I) = \(\frac{p*t*r}{100}\)

             I = \(\frac{300*4*3}{100}\)

             I = \(\frac{3600}{100}\)

Therefore the interest earned is 36.

Again;

New balance (A) = principal + interest

                            = 300+36

Therefore, the new balance is 336.

Hope it helps!

The number of vehicles that are secondhand is 34.

There is a garage. The total number of vehicles in the garage is 60. The vehicles are for sale. The vehicles are all either new or secondhand. The number of vehicles that are cars is 28. The other vehicles are vans. Seven of the cars are secondhand. Five of the vans are new. We have to find the total number of second-hand vehicles.

First of all, we will find the number of vans in the garage. The number of vans is 60 - 28 = 32. The number of cars that are second-hand is 7. The number of vans that are second-hand is 32 - 5 = 27.

The total number of second-hand vehicles in the garage is the sum of the numbers of second-hand cars and vans.

N = 7 + 27

N = 34

Hence, 34 vehicles are second-hand in the garage.

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Answer:

3 is your answer im pretty sure:)))

Step-by-step explanation:

Answer: 0<8xp<8

Step-by-step explanation:

Answer:

8xp < 8 > 0

Step-by-step explanation:

Is your algebra expression i'm pretty sure.

Answer:

(X'U'Y) + (XUY')

Step-by-step explanation:

Starting with [Xn(X'nY)]', we can use De Morgan's laws to simplify the expression:

[Xn(X'nY)]' = (Xn)' + (X'nY)'

Recall that Xn represents the logical operator "and", while X' represents "not X". Using these definitions, we can expand the expression:

(Xn)' + (X'nY)' = (X'U'Y) + (XUY')

where U represents the logical operator "or".

Therefore, [Xn(X'nY)]' simplifies to (X'U'Y) + (XUY').

Answer:

Step-by-step explanation:

72+65+68+68+73+45+68+71 = 530

530/8 because there are 8 numbers

mean: 66.25

for the median, you line the numbers up from small to big and find the center number. But since there are 2 of them (68 and 68) , add 68+68 and divide by 2 which is still 68!

45,65,68,68,68,71,72,73

the mode is 68 because it is the most occurring number.

ok yea

Answer:

36

Step-by-step explanation:

The little number, called an exponent, tells you how many times to multiply the big number times itself. In this case, the exponent is 2. So the problem would be 6 x 6, which equals 36. Hope this helps!

Answer:

$2.40

Step-by-step explanation:

First, you would do 22.70 minus 3.50, to get 19.20.

Then, you would divide 19.20 by 8, to get 2.4.

So, if each pineapple was the same price, each pineapple would be $2.40.

Answer:

-13

Step-by-step explanation:

Answer:

It depends on where point D is placed so C > 0

Step-by-step explanation:

As i said above

We want to find the coordinate of C given that it is the midpoint of BD.

We know that B is at 0, so we can assume that each letter represents a position on the number line.

Then we can assume that D is located at a number different than zero, let's assume that D is located at the value d.

Then the segment BD goes from 0 to d, so its length is d.

Then the midpoint is at the middle, at d/2 plus the smallest value, 0:

C = d/2 + 0 = d/2

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Answer:

Domain: 0, 1, 2, 3, 4,

Range: 1, 2, 3, 4, 5,

Step-by-step explanation:

Based on the graph the domain of the function is 0, 1, 2, 3, 4, and the range is 1, 2, 3, 4, 5,  therefore, the answer is:

Step-by-step explanation:

1/2×13×12= 78

12×14= 132

13×14= 182

total surface area

= (78×2)+(132×2)+182

= 602 ft^2

The total number of winning hands are 276.

Probability is defined as the ratio of favorable outcomes to all other possible outcomes of an event. The symbol x can be used to express the quantity of successful outcomes for an experiment with 'n' outcomes. The probability of an event can be calculated using the following formula.

Probability of an event = Number of favourable outcomes/Total number of outcomes = x/n.

In the given question,

If the first card drawn is a 10, then there are

\(P_9^2=\frac{9!}{(9-2)!} =9*8=72 hands\)

There are 9 possible numbers if the second card is a 10, and there are 8 possible numbers if the third card, giving us,

\(9*8= 72 hands\)

If the third card is 10 then there are 9 possible numbers for the first card and 8 possible numbers for

second card, it gives us

\(9*8= 72 hands\)

And there are 5 odd cards, and it gives us:

\(P_5^3=\frac{5!}{(5-3)!} =5*4*3=60 hands\)

So, we have that in total we have

72+72+72+60=276 winning hands.

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The equivalent ratios are 6:3, 24:12 and 18:9.

According to the question,

We have the following information:

We have a table where number of people and  benches are given.

(Note that equivalent ratios mean that when we simplify it then the ratio should be equal to the original ratio.)

Now, we will find the equivalent ratios column-wise:

In first column, we have 6 and 3.

6:3

Now, in second column, we have:

_:12

Now, dividing 12 by 3, we have 4.

Multiplying 4 into 6:

24:12

Now, in third column, we have:

18:_

Dividing 18 by 6:

18/6 = 3

Multiplying 3 by 3:

18:9

Hence, the equivalent ratios are 6:3, 24:12 and 18:9.

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Answer:

Step-by-step explanation:

hgcgh,jhk l

Answer:

\(9n \div 7\)

Step-by-step explanation:

"the quotient of nine times a number and seven"

Answer:Surface

Step-by-step explanation: