Evaluate the expression (2+5)4

Answer:As it is given that, a cylinder has radius 3 inches and height 5 inches and we are to find the volume of the cylinder, also a extra information is given that is a cone has the same radius and height.

We know,

Where,

r is the radius of the cylinder.

h is the height of the cylinder.

Here, we will take the value of π as 3.14 approximately .

Now, we will substitute the given values in the formula :

Note :

Answer might be different if we take the value of π as 22/7 .

Step-by-step explanation:

Answer:

volume of cylinder= πr²h

22. ×4²×5

7

22 × 16×5

7

251.43 inches³

volume of cone=1 × πr²×h

3

1×22×4²×5

3. 7

83.81 inches ³

Answer:

24.6 cm^2

Step-by-step explanation:

3.28m = 328 cm

75mm = 0.075 cm

Area of rectangle: L x W

328 times 0.075 = 24.6 cm^2

Answer:

Heyyy. Glad to see someone from malaysia taking add maths hete. Hope this helps

Answer:

2/3 (0,-3) is one possible answer.

Step-by-step explanation:

y  -1 = 2/3(x-6)  We want to get this into the slope intercept form of a line.  We want it to be in the form y = mx + b.  Let's clear the fraction first by multiplying the whole equation through by 3.

3(y - 1) = 3[2/3(x - 6)]

3y -3 = 2(x -6)

3y - 3 = 2x -12

3y = 2x - 9  Now divide all the way through by 3 to get

y = 2/3x - 3  

y = mx + b.  The m part is the slope.  In this equation the slope is 2/3

There are in infinite amount of points on a line.  I do not know if they give you a picture or if you are just to create your own.  I am going to create a point that have x = 0.  I get to pick the point.  I could pick any number.  0 is just usually really easy.  So, if I substitute 0 for x I will get:

y = 2/3(0) - 3

y = 1  so my point is (0,-3)

Now that I think about it, I do not think that I would start out clearing the fraction even though it works.  I think that I would do it like this"

y - 1 = 2/3(x - 6)  Distribute the 2/3 through (x - 4) to get

y-1 = 2/3x -4  I can make -6 a fraction by putting it over 1.  Now we have 2/3(-6/1)  multiply across to get  -12/3.  A positive times a negative is a negative.  -12 divided by 3 is -4.

y - 1 = 2/3x -4   now add 1 to both sides.

y = 2/3x -3

Answer:

x=4

Step-by-step explanation:

x-10= -6

 +10 +10

x   =   4

Answer:

F, M, J

Step-by-step explanation:

The distance between the third traffic light from the second traffic light is 35 yards.

Three traffic lights on a street span 120 yards.

If the second traffic light is 85 yards away from the first.

Therefore, the third traffic light is 120 - 85 =35 yards away from the second traffic light.

This means that the third traffic light is directly adjacent to the first traffic light. The third traffic light from the second traffic light is at the same location as the first traffic light.

Thus, the distance between the third traffic light from the second traffic light is 35 yards.

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Answer:

1.

(a) 4y

(b) 5w

(c) 6a

(d) 3s

(e) 2n

(f) 3g

(g) 2y

(h) 0

2.

(a) -2u

(b) -w

(c) -3a

(d) -7y

3.

(a) 7a+3b

(b) 12y+4h

(c) 2g+10a

(d) 15m+10p

(e) 10e+4

(f) 12+5a

Step-by-step explanation:

Don't be intimidated by the "letter" variables. It is really just simple addition and subtraction. Examples:

For Q1=

y + y + y + y = 4y because there are 4 y's, and since we don't know the values of the y, this is the farthest we can simplify it.

For Q2=

4u - 6u = -2u. Since these two numbers have the same variable, this is just a simple subtraction problem. 4 - 6 = -2.

For Q3=

3a + 2b + 4a + b = 7a + 3b.

Look for the numbers with the same variable. 3a and 4a both have a's, so we add the two and get 7a. 2b and b (b is the same thing as 1b) both have b's, so we add them and would get 3b.

Therefore, the answer is 7a + 3b.

I hope this helped! Good luck with future endeavors!!

Step-by-step explanation:

attached the answers below, hope that helps...

The measure of angle ABD if triangles ACD and BCD are isosceles is 138 degrees

What are isosceles triangles?

Isosceles triangles are triangles that have two sides equal in measurement.

Main Body:

From the given diagram;

∠BAC = 18 degrees

∠BDC = 48 degrees

Required angle  : ∠ABD

From the diagram, ∠DAB = ∠BAC = 18 degrees

Also, ∠ADC + ∠ACD + ∠DAC = 180

Since triangles ACD is isosceles, hence ∠ADC = ∠ACD. The expression above becomes

∠ADC + ∠ADC + ∠DAC = 180

2∠ADC + ∠DAC = 180

2∠ADC  = 180 - 36

2∠ADC = 144

∠ADC = 144/2

∠ADC = 72 degrees

This means that ∠ADB = 72 - ∠BDC

∠ADB = 72 - 48

∠ADB = 24 degrees

Get the required angle ABD

From triangle ADB, ∠ABD + ∠ADB + ∠DAB = 180

∠ABD + 24 + 18 = 180

∠ABD + 42 = 180

∠ABD = 180 - 42

∠ABD = 138 degrees

Hence the measure of angle ABD if triangles ACD and BCD are isosceles is 138 degrees.

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Answer:

12

Step-by-step explanation:

Answer:

the answer would just be 8

Step-by-step explanation:

5 +3 = 8 and it would be a deep green

Given data:

The given expression is -4/9 x=3/8

The given expression can be written as,

The product is less than both the factors.

Thus, option C) is correct.

The probability of the {X + Y ≤ 8} is 0.99933.

The random vector (x, y) has a joint pdf \(f_{xy}\)(x, y) = 2\(e^{-x}e^{-2y}\) for x > 0, y > 0.

We have to determine the probability of {X + Y ≤ 8}.

P{X + Y ≤ 8} = 1 - {X + Y > 8}

We can write it as

P{X + Y ≤ 8} = 1 - {X > 8 - Y}

P{X + Y ≤ 8} = 1 - \(\int^{\infty}_{0}\int_{8-y}^{\infty}f_{xy}(x, y)dxdy\)

P{X + Y ≤ 8} = 1 - \(\int^{\infty}_{0}\int_{8-y}^{\infty}2e^{-x}e^{-2y}dxdy\)

First integrate the function with respect to x

P{X + Y ≤ 8} = 1 - \(\int^{\infty}_{0}2e^{-2y}[e^{-x}]_{8-y}^{\infty}dy\)

P{X + Y ≤ 8} = 1 - \(\int^{\infty}_{0}2e^{-2y}[e^{-(8-y)}]dy\)

P{X + Y ≤ 8} = 1 - \(\int^{\infty}_{0}2e^{-2y-8+y}dy\)

P{X + Y ≤ 8} = 1 - \(2\int^{\infty}_{0}e^{-y-8}dy\)

P{X + Y ≤ 8} = 1 - \(2e^{-8}\int^{\infty}_{0}e^{-y}dy\)

P{X + Y ≤ 8} = 1 - \(2e^{-8}[-e^{-y}]^{\infty}_{0}\)

P{X + Y ≤ 8} = 1 - \(2e^{-8}[1-0]\)

P{X + Y ≤ 8} = 1 - 2e⁻⁸

P{X + Y ≤ 8} = 0.99933

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The complete question is:

The random vector (x, y) has a joint pdf \(f_{xy}\)(x, y) = 2\(e^{-x}e^{-2y}\) for x > 0, y > 0. find the probability of the following events:

a. {X + Y ≤ 8}

Answer:

ok lol i guess

Step-by-step explanation:

Answer:

wqfs

Step-by-step explanation:

sdgf

Answer:

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

               = \(\sqrt{(-4)^{2} + (3)^{2} }\) units

               =\(\sqrt{25}\) units

               = 5 units

Solution

-8 r + 8r =0

And the correct answer would be:

Inverse property of addition

Jorge has a ticket has a probability of 0.3 of winning a prize. after seven days, probability that jorge has won at least one prize is 0.9176

Let the probability of Jorge winning be 0.3 so ,

Probability of not winning be (1-0.3)⁷

(0.7)⁷

= 0.0823

Therefore, Jorge not winning is 0.0823.

If he wins at least one prize is,

1 - P(win nothing)

1 - 0.0823

= 0.9176

Therefore, the probability that the Jorge wins at least one prize is 0.9176.

Probability refers to potential. A random event's occurrence is the subject of this area of mathematics. The range of the value is 0 to 1. Mathematics has included probability to forecast the likelihood of certain events. The degree to which something is likely to happen is basically what probability means.

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Answer:

As y = mx + c (standard form)

Thus relating the equation , we get

m = 1

c = -6

Answer:

m = 1

c = -6

Step-by-step explanation:

m is the gradient of the line.

c is the intercept of the line.

The formula for it is : y = mx+c

so m = 1

c = -6

Hope this helps

Answer:

Reduction of 3.5

Step-by-step explanation:

To find the scale factor, we can take two corresponding sides, let's say 6 and 21 and divide them. 21/6=3.5. athe scale factor is 3.5.

Now its a reduction because the bigger shape is written D' and the apostrophe means that it is the original shape. So, it got reduced to the smaller shape.

The measure of angle MAC is 90°.

What does the isosceles triangle mean?

When two of a triangle's sides are congruent, or the same length, the triangle is said to be isosceles. This means that if you draw a line through the middle of an isosceles triangle, it will split in half, with the two parts having equal-length sides.

The angles on either side of the congruent side of an isosceles triangle are also congruent. As a result, in the ABC triangle, mBAM = mCAB = mNAC.

Angle MAC is congruent to itself since angles BAM and NAC are complementary to it and are also congruent with each other.

Therefore, m∠MAC = m∠MAC = 180 - m∠BAM = 180 - m∠NAC.

Since m∠BAM = m∠NAC, we can conclude that

m∠MAC = 180 - m∠NAC = 90°

Hence, the measure of angle MAC is 90°.

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Answer:

  d.  3391.2 ft³

Step-by-step explanation:

You want the volume of a right circular cone with base diameter 18 ft and slant height 41 ft.

The height of the cone can be found from the Pythagorean theorem:

  h² +r² = 41² . . . . . . . where r is the radius, 9 ft

  h = √(41² -9²) = √(1681 -81) = √1600 = 40

The volume is given by the formula ...

  V = 1/3πr²h

  V = 1/3(3.14)(9 ft)²(40 ft) = 3391.2 ft³

The volume of the cone is about 3391.2 cubic feet.

__

Additional comment

The side lengths of the triangle we solved for the height are the integer values {9, 40, 41}. This is one of several Pythagorean triples that show up frequently in algebra, trig, and geometry problems. Others include {3, 4, 5}, {5, 12, 13}, {7, 24, 25}, {8, 15, 17}. Familiarity with these can save you some time when solving problems like this one.

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Answer:

ok, the y intercept is 0.9

Step-by-step explanation:

what are the dropdowns

A D. simple random sample is a sample in which every member of the population has an equal chance of being chosen.

A. Systematic: In a systematic sample, the population is first ordered or arranged in some systematic way, such as by alphabetical order or numerical sequence. Then, a starting point is randomly selected, and subsequent members are chosen at regular intervals from the ordered list. This method ensures that every member of the population has an equal chance of being selected.

B. Probability: The term "probability sample" is a general concept that encompasses various sampling methods. It refers to any sample in which each member of the population has a known nonzero probability of being selected. Probability sampling methods include simple random sampling, stratified sampling, cluster sampling, and systematic sampling.

C. Stratified: In stratified sampling, the population is divided into distinct subgroups or strata based on specific characteristics or attributes. Then, a random sample is taken from each stratum in proportion to its representation in the overall population. This method ensures that the sample is representative of the population across different subgroups or strata.

D. Simple random: A simple random sample is a sampling method where each member of the population has an equal and independent chance of being selected. It involves selecting individuals randomly and without any specific pattern or grouping. This method ensures that each member of the population has an equal probability of being chosen, leading to unbiased estimates and generalizability to the larger population.

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Answer:

What are the questions so I can help you out

Answer:

where is the question?

Step-by-step explanation:

The vertices of the triangle after the reflection over y = -x are \(\left[\begin{array}{ccc}3&-3&-3&-3&-6&-3\end{array}\right]\)

The vertices of the triangle are given as

\(\left[\begin{array}{ccc}3&6&3&-3&3&3\end{array}\right]\)

The transformation rule is given as

Reflection over the line y = -x

Mathematically, this rule is represented as

(x, y) → (-y, -x)

This means that we negate the x-coordinates and the y-coordinates, and then swap the x and the y coordinates

When this rule is applied, we have

\(\left[\begin{array}{ccc}3&-3&-3&-3&-6&-3\end{array}\right]\)

Hence, the reflection would produce \(\left[\begin{array}{ccc}3&-3&-3&-3&-6&-3\end{array}\right]\)

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