3. f(x) = x2 + 5, find f(5)

Answer:

113.1 cm³

Step-by-step explanation:

diameter = 2 X radius

Volume of sphere = (4/3) X π X r ³

= (4/3) π (3)³

= 36π

= 113.1 cm³ to nearest tenth

The two reasonable estimates for 1270 - 3, with an error margin of 10, are 1257 and 1267.

The first estimate, 1257, is obtained by subtracting 10 from the given value of 1270. This assumes that the subtraction of 3 is closer to the lower bound of the error margin, resulting in a smaller difference.

The second estimate, 1267, is obtained by subtracting 3 from the midpoint of the error margin, which is 1270. This assumes an equal distribution of the error, resulting in a slightly larger difference.

These estimates provide reasonable approximations for 1270 - 3, allowing for a small margin of error.

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Answer: 27.33 g water

Step-by-step explanation:

For this problem, we will need to use the equation for heat: q=mCΔT. Since we are given heat, change in temperature, and specific heat, all we have to do is plug them in to find grams.

4000J=m(4.181J/g°C)(100-65°C)              [find change in temperature]

4000J=m(4.181J/g°C)(35°C)    [divide both sides by specific heat and change in temperature]

m=27.33 g

The total distance between his house and the school is (2 + 5/8)km

We know that Ryan rides (2 + 3/8) km and then walks (1/4) km, to get the total distance we need to add these two distances.

We will get:

total distance = (2 + 3/8) km + (1/4) km

We need to have the same denominator in both fractions, then we can write the second as:

total distance = (2 + 3/8) km + (1/4) km = (2 + 3/8) km + (2/8) km

total distance = (2 + 3/8 + 2/8) km = (2 + 5/8)km

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Confidence in math is the belief in one's ability to understand and solve mathematical problems. Developing confidence in math is important because it can help individuals overcome anxiety and fear of math, which can limit their performance and success in the subject.

1) {Bread} -> {Milk}:
Support: 5/10
Confidence: 5/7
Lift: 5/2.4

2) {Beer} -> {Eggs}:
Support: 4/10
Confidence: 4/9
Lift: 4/3

3) {Beer, Bread} -> {Milk}:
Support: 3/10
Confidence: 3/6
Lift: 3/1.8

4) {Bread, Eggs} -> {Diapers}:
Support: 4/10
Confidence: 4/7
Lift: 4/2.6

5) {Milk, Bread} -> {Eggs, Coke}:
Support: 4/10
Confidence: 4/7
Lift: 4/2.6

6) {Beer, Milk} -> {Bread, Diapers}:
Support: 3/10
Confidence: 3/6
Lift: 3/1.8

7) {Bread, Milk, Eggs} -> {Diapers}:
Support: 2/10
Confidence: 2/5
Lift: 2/2.2

8) {Bread, Eggs, Coke} -> {Diapers, Beer}:
Support: 2/10
Confidence: 2/5
Lift: 2/2.2

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The domain of the relation is [2, 6] and (2, 3, 4, 5, 6) as a list, while the range is [-4, 0] and (-4, -3, -2, -1, 0) as a list

The domain is the set of x values of the function

From the graph, we can see that the x values starts from x = 2 and ends at x = 6 (both inclusive)

This means that the domain can be represented as

Domain = [2, 6]

When represented as a list, we have

Domain = (2, 3, 4, 5, 6)

The range is the set of y values of the function

From the graph, we can see that the y values starts from y = -4 and ends at y = 0 (both inclusive)

This means that the range can be represented as

Range = [-4, 0]

When represented as a list, we have

Range = (-4, -3, -2, -1, 0)

So, the list of range is (-4, -3, -2, -1, 0)

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If person c must always sit on the right of person a, then there are two possible seating arrangements for them: either a is at the top of the table and c is to their right, or c is at the top of the table and a is to their left.

In either case, we can consider person c as fixed in place and count the number of ways to seat the remaining three people around the table.
If we seat person a first, there are four choices for their seat. Then person b can be seated in any of the remaining three seats. Finally, person d can be seated in one of the two remaining seats. So, there are 4 x 3 x 2 = 24 ways to seat the remaining three people around the table. Therefore, there are 2 x 24 = 48 different seatings possible overall.
To draw the possibilities, we can start by drawing a circle to represent the circular table. Then, we can label the top of the circle as either person a or person c (depending on which one we choose to fix in place). From there, we can draw arrows to represent the possible positions for person b and person d, making sure to avoid any duplicates due to rotations of the table. By doing this, we can visualize all 48 possible seatings for the four people around the circular table.

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To solve this problem, we can use the Poisson distribution, which models the number of events that occur in a fixed period of time, given the average rate of occurrence.

a. To find the probability that at most 425 people are struck by lightning in a year, we can use the Poisson distribution with a mean of 400. The formula for the Poisson distribution is:
P(X ≤ k) = e^-λ ∑_(i=0)^k (λ^i/i!)
where X is the random variable (the number of people struck by lightning in a year), λ is the mean (400), and k is the maximum number of people we're interested in (425). Plugging in the values, we get:
P(X ≤ 425) = e^-400 ∑_(i=0)^425 (400^i/i!) = 0.8855
So the probability that at most 425 people are struck by lightning in a year is 0.8855, or about 88.55%.
b. To find the probability that at least 375 people are struck by lightning in a year, we can use the complement rule: the probability of an event happening is 1 minus the probability of the event not happening. So in this case, we want to find the probability that fewer than 375 people are struck by lightning, and subtract that from 1 to get the probability of at least 375 people being struck.
P(X ≥ 375) = 1 - P(X < 375) = 1 - e^-400 ∑_(i=0)^374 (400^i/i!) = 0.9369
So the probability that at least 375 people are struck by lightning in a year is 0.9369, or about 93.69%.
It's important to note that these probabilities are based on the assumption that the number of people struck by lightning in a year follows a Poisson distribution with a mean of 400. This may not be a perfect model, but it's a reasonable approximation based on the available data. Additionally, the chances of being struck by lightning are still relatively low - even at the high end of our estimates, only about 0.1% of the US population would be affected.

Based on the given information of 400 people being struck by lightning in the United States on average each year, we can calculate the probabilities for the scenarios you mentioned.
a. The probability that at most 425 people are struck by lightning in a year:
To calculate this, we'll need to know the distribution of people being struck by lightning, which isn't provided. However, let's assume it follows a normal distribution with a mean of 400 and some standard deviation. In this case, we would calculate the z-score for 425 people and find the corresponding probability from the z-table. Unfortunately, without the standard deviation, we cannot compute the exact probability.
b. The probability that at least 375 people are struck by lightning in a year:
Similarly, to calculate this probability, we'd need the standard deviation to find the z-score for 375 people and then find the corresponding probability from the z-table. Again, without the standard deviation, we cannot compute the exact probability.
In conclusion, without knowing the standard deviation or the distribution of people being struck by lightning, we cannot provide a precise probability for the given scenarios.

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Answer:

all 3 options are true : A, B, C

Step-by-step explanation:

warning : it has come to my attention that some testing systems have an incorrect answer stored as right answer for this problem.

they say that A and C are correct.

but I am going to show you that if A and C are correct, then also B must be correct.

therefore, my given answer above is the actual correct answer (no matter what the test systems say).

originally the information about the alignment of the point F in relation to point E was missing.

therefore, I considered both options :

1. F is on the same vertical line as E.

2. F is not on the same vertical line as E.

because of optical reasons (and the - incomplete - expected correct answers of A and C confirm that) I used the 1. assumption for the provided answer :

the vertical line of EF is like a mirror between the left and the right half of the picture.

A is mirrored across the vertical line resulting in B. and vice versa.

the same for C and D.

this leads to the effect that all 3 given congruence relationships are true.

if we consider assumption 2, none of the 3 answer options could be true.

but if the assumptions are true, then all 3 options have to be true.

now, for the "why" :

remember what congruence means :

both shapes, after turning and rotating, can be laid on top of each other, and nothing "sticks out", they are covering each other perfectly.

for that to be possible, both shapes must have the same basic structure (like number of sides and vertices), both shapes must have the same side lengths and also equally sized angles.

so, when EF is a mirror, then each side is an exact copy of the other, just left/right being turned.

therefore, yes absolutely, CAD is congruent with CBD. and ACB is congruent to ADB.

but do you notice something ?

both mentioned triangles on the left side contain the side AC, and both triangles in the right side contain the side BD.

now, if the triangles are congruent, that means that each of the 3 sides must have an equally long corresponding side in the other triangle.

therefore, AC must be equal to BD.

and that means that AC is congruent to BD.

because lines have no other congruent criteria - only the lengths must be identical.

The solution to the inequality, 1/2x - 3 < -1 3/8, is x < 13/4. See the graph below.

Given the inequality, 1/2x - 3 < -1 3/8, solve to find the value of x, which is the solution to the inequality.

1/2x - 3 < -1 3/8 [given]

1/2x - 3 < -11/8

Add 3 to both sides of the equation:

1/2x - 3 + 3 < -11/8 + 3 [addition property of equality]

1/2x < 13/8

Multiply both sides by 2:

1/2x * 2 < 13/8 * 2 [multiplication property of equality]

x < 13/4

The solution to this inequality, x < 13/4 is given in the graph below.

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the cost of one hosta is $3 and the cost of one bunch of ornamental grass is $16. So the answer is not listed in the options given.

To solve the problem, we can use a system of linear equations. Let x be the cost of one hosta and y be the cost of one bunch of ornamental grass. Then we have:

10x + 2y = 52 (equation 1)

8x + 14y = 178 (equation 2)

We can solve for x and y by either substitution or elimination. Here, we will use elimination. Multiply equation 1 by 7 to get:

70x + 14y = 364 (equation 3)

Now subtract equation 2 from equation 3 to eliminate y:

62x = 186

x = 3

Substitute x = 3 into equation 1 to solve for y:

10(3) + 2y = 52

2y = 32

y = 16

what is linear equations?

A linear equation is an equation between two variables that can be represented by a straight line when plotted on a graph. It takes the form of y = mx + b, where y and x are variables, m is the slope of the line, and b is the y-intercept. The goal is to find the values of x and y that make the equation true. Linear equations are used in many areas of mathematics and science, including geometry, physics, and economics. They are also used in everyday life, such as calculating the cost of a product based on its weight or distance traveled.

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Answer:

slope m=--3/-2=-3/2 is required slope

Answer:

m = -3, b = -2

Step-by-step explanation:

The equation is written in the form of slope-intercept, where m = slope and b = y-intercept.

The slope is the number before x. For the equation y = -3x - 2, it's -3.

The y-intercept is the constant. For the equation y = -3x - 2, it's -2.

Hence, m = -3, and b = -2.

\(\rule{350}{4}\)

\(\frak{-Dream-}\)

To find the derivative of the curve r(t) = <-3t, -6t, 1 + 2t^2>, we differentiate each component with respect to t:

r'(t) = <-3, -6, 4t>

To find the second derivative, we differentiate each component of r'(t):

r"(t) = <0, 0, 4>

The curvature of a curve at a specific point is given by the formula:

k(t) = |r'(t) x r"(t)| / ||r'(t)||^3

Substituting the values:

k(t) = |<-3, -6, 4t> x <0, 0, 4>| / ||<-3, -6, 4t>||^3

The cross product of the vectors is:

<-24, 12t, 0>

The magnitude of the cross product is:

|<-24, 12t, 0>| = sqrt((-24)^2 + (12t)^2 + 0^2) = sqrt(576 + 144t^2) = sqrt(144(4 + t^2))

The magnitude of the vector r'(t) is:

||<-3, -6, 4t>|| = sqrt((-3)^2 + (-6)^2 + (4t)^2) = sqrt(9 + 36 + 16t^2) = sqrt(25(1 + 4t^2))

Plugging these values into the curvature formula:

k(t) = sqrt(144(4 + t^2)) / sqrt(25(1 + 4t^2))^3

To find the curvature at t = 1, we substitute t = 1 into the expression:

k(1) = sqrt(144(4 + 1^2)) / sqrt(25(1 + 4(1^2)))^3

      = sqrt(144(4 + 1)) / sqrt(25(1 + 4))^3

      = sqrt(144(5)) / sqrt(25(5))^3

      = sqrt(720) / sqrt(125)^3

      = sqrt(720) / 5^3

      = sqrt(720) / 125

      = 12sqrt(5) / 125

Therefore, k(1) = 12sqrt(5) / 125.

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Answer: −30

0+0−30

0−30

−30

Answer:

Don't have an answer but I will explain what to do.

Step-by-step explanation

You're going to mark the point's on your graph paper, then make a right triangle, after that you're going to count over how many square's there are until you run to the end of the right triangle and also do that for both sides. After you found out what the number is you are going to multiply that number by it for both of them. Then after you found that out your going to take your calculator and press 2nd and X2 and put your number after that. Hope this helps!

Answer:

x =16

Step-by-step explanation:

2x + 2x + x-8 = 4(x+2)

5x -8 = 4x +8

x = 16

Step-by-step explanation:

There is inconsistency in the given statement and no solution

Explanation:

y

=

2

x

+

⋅

2

x

−

y

=

−

8

,

Eqn (1)

3

⋅

(

−

2

x

+

y

)

=

12

−

6

x

+

3

y

=

12

2

x

−

y

=

−

4

Eqn (2)

It may be seen, L H S of equations (1) & (2) are same but not R H S.

Hence there is inconsistency in the given statement and no solution

The volume of the square-based pyramid is 3888 units³. Your answer is option B. 3888 units³.

The formula to calculate the volume of a pyramid is V = (1/3)Bh,

Where B is the area of the base and h is the height.

In this case, the base is a square with edge length 9 units, so the area is B = 9² = 81 units².

The height is given as 48 units.
Plugging these values into the formula, we get:
To find the volume of a square-based pyramid, you can use the following formula:

V = (1/3) * base area * height.

In this case, the base edge is 9 units and the height is 48 units.

First, find the base area:

A = side * side = 9 * 9

= 81 square units.

Next, calculate the volume:

V = (1/3) * 81 * 48 = 3888 cubic units.
V = (1/3)(81)(48)
V = 1296 units³
Therefore, the volume of the pyramid is 1296 units³, which is option b.

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Polar coordinates in the range -2π ≤ θ < 0: (8, -π/6)

To express the Cartesian coordinates (4√3, -4) in polar coordinates, we can use the following formulas:

r = √(\(x^2 + y^2\))

θ = arctan(y / x)

First, let's calculate r:

r = √(\((4sqrt3)^2 + (-4)^2\))

 = √(48 + 16)

 = √64

 = 8

Next, let's calculate θ:

θ = arctan((-4) / (4√3))

  = arctan(-1/√3)

  = -π/6

Since the angle is in the range -2π ≤ θ < 0, we need to add 2π to the angle to bring it into the range 0 ≤ θ < 2π:

θ = -π/6 + 2π

  = 11π/6

the Cartesian coordinates (4√3, -4) can be expressed in polar coordinates as: Polar coordinates in the range 0 ≤ θ < 2π: (8, 11π/6)

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Answer:

2

Step-by-step explanation:

The system of inequalities with no solution is x > 3 x < 1

The systems of inequalities are given as:

x < 3 x < 1

x > 3 x > 1

x < 3 x > 1

x > 3 x < 1

As a general rule, it is impossible for a variable to be greater than a higher number and less than a smaller number.

This means that if x is greater than 3, then it must be greater than 1

Hence, the system of inequalities with no solution is x > 3 x < 1

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Pyramid B has a volume that is 8 times the volume of Pyramid A.

The volume of a pyramid is calculated as one third of the multiplication of the base area and the height, as follows:

V = 1/3 x Ab x h.

For a square base of side length s, we have that Ab = s², hence:

V = s²h/3.

Then the volume of Pyramid A is given as follows:

V = 12² x 8/3

V = 384 cubic inches.

The volume of Pyramid B is given as follows:

V = 24² x 16/3

V = 3072 cubic inches.

Then the ratio is given as follows:

3072/384 = 8.

The problem asks how many times the volume of Pyramid B is greater than the volume of Pyramid A.

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Answer:

I think the answers are 1 to 1 ,9 to 8 , 10 to7

Answer:

(8-w)-10

so -w-2

if w is a variable... sorry this answer is just for reference

Step-by-step explanation:

Answer: y= 116x

Step-by-step explanation:

Answer:

"With the high level of interest in our 45-70

Step-by-step explanation:

Answer:

6m

Step-by-step explanation:

the side of first square = 3 m

area of first square = 3^2= 9 m^2

let the side of second square = x m

since diagonal of first square = x m as per the question

in a square each angle is 90 degree

therefore by applying pythagorus theorem ,

diagonal ^2 = side^2 + side ^2

diagonal^2 = 3^2+3^2=9+9

DIAGONAL= square root of 18

diagonal= 3\(\sqrt{2}\) m = side of second square

therefore in second square ,

one angle is 90  degree , therefore by applying pythagorue theorem

diaqonal^2 = side ^2 + side ^2 = (3\(\sqrt{2}\))^2 + ( 3\(\sqrt{2}\))^2

diagonal ^2 = 18 + 18

diagonal = square root of 36

therefore diagonal of second square is 6m

hope it helps you... please mark me as the brainliest..

Answer:

6m explained it all hope it helps