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The surface area of the cylinder is 905 square centimeters

From the question, we have the following parameters that can be used in our computation:

Diameter, d = 12 cm

Height, h = 18 m

This means that

Radius, r = 12/2 = 6 cm

Using the above as a guide, we have the following:

Surface area = 2πr(r + h)

Substitute the known values in the above equation, so, we have the following representation

Surface area = 2π * 6 * (6 + 18)

Evaluate

Surface area = 905

Hence, the surface area is 905 square centimeters

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The equation of the line through the point (3,5) that cuts off the least area from the first quadrant is 5x +3y -30 = 0.

An intercept is a point on the y-axis, through which the slope of the line passes. It is the y-coordinate of a point where a straight line or a curve intersects the y-axis. This is represented when we write the equation for a line, y = mx+c, where m is the slope and c is the y-intercept.

There are basically two intercepts, x-intercept and y-intercept. The point where the line crosses the x-axis is the x-intercept and the point where the line crosses the y-axis is the y-intercept.

The equation of the line, which intersects the y-axis at a point is given by:

                           y = mx + c

Suppose the line passes through (t,0) and (3,5), where t>3. Then the y-intercept is at (0, 5t/t-3).

So the area of the triangle is:

\(\frac{1}{2}\)×\(t\)×\(\frac{5t}{t-3}\) \(=\)\(\frac{5(t^{2} )}{3(t-3)}\)

Then:

d(5t²/2(t-3))/dt = (5t/t-3) - 5t²/2(t-3)²

=  5t²(2(t-3)-t)/2(t-3)²

=5t(t-6)/2(t-3)²

Since we require t >3, the zero of the derivative that we see is when t=6.

We can write the equation of this line as: 5x +3y -30 = 0

Thus, the equation of the line through the point (3,5) that cuts off the least area from the first quadrant is 5x +3y -30 = 0.

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Answer: 4

Step-by-step explanation:

1 third of 30 is 10 and 2/5s of 10 is 4

840 different numbers can be created selecting 4 of the digits from the number

From the question, we have the following parameters that can be used in our computation:

Number =  8712395

Digits = 4

The count of digits in the number is 7

Using the above as a guide, we have the following:

So, we have

Numbers = 7 * 6 * 5 * 4

Evaluate

Numbers = 840

Hence, 840 numbers can be formed

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The value which is closest to the volume of the cone is 803.84 m³.

The correct answer choice is option A.

Volume of a cone is V = 1/3hπr².

Where,

Diameter = 16 m

Radius, r = diameter/2

= 8 m,

Height, h = 1.5 × radius

= 1.5 × 8

=12 m

π = 3.14

So,

Volume of Cone= 1/3 × π × r² × h

= 1/3 × 3.14 × 8 × 8 ×12

= 1/3 × 3.14 × 8 × 8 × 12

=803.84 m³

Hence, the volume of the cone is 803.84 m³.

Complete question:

A. 803.84 m³ B. 823.5 m³ C. 912.80 m³ D. 810.65 m³

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Answer:

63 42

53

53

52

Jdjdjdjfh

By using property - 1,

m∠APD = m∠DPC = m∠BPC = m∠APB = 90°

Apply triangle sum theorem in ΔAPD,

m∠DAP + m∠APD + m∠DPA = 180°

52° + 90°+ m∠DPA = 180°

m∠DPA = 38°

By using property - 3,

m∠PDC = m∠DPA = 38°

m∠PAB = 52°

By using property - 2,

m∠ADC + m∠DCB = 180°

2(38°) + m∠DCB = 180°

m∠DCB = 104°

Therefore, m∠PCD = m∠PCB = \(\frac{104}{2}\) = 52°

m∠DAP = m∠BAP = 52°

Since, m∠ADC = m∠ABC = 76°

Therefore, mABP = m∠CBP = \(\frac{76}{2}=38^\circ\)

         Hence, m∠APD = m∠DPC = m∠BPC = m∠APB = 90°, m∠DPA = 38°, m∠PAB = 52°, m∠PCD = m∠PCB = 52°, m∠BAP = 52°, mABP = m∠CBP = 38°.

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Answer:

1042.5

Step-by-step explanation:

Given :-

Using Unitary Method :-

→ Cost of 1 m is P 69.95

→ Cost of 15m is P ( 69.5 * 15 ) = P 1042.5

Step-by-step explanation:

4x hope this explanation will help

C(3x + 20) can be used as the equivalent expression for 3x plus 20. for any constant value of C.

Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation.

given an expression 3x + 20

Since Equivalent expressions are expressions that work the same even though they look different. If two algebraic expressions are equivalent, then the two expressions have the same value when we plug in the same value(s) for the variable(s).

Thus, the equivalent expression of 3x + 20 = 3(x + 20/3)  or 6x + 40, 12x +80, 15x + 100... and so on.

Therefore, the Equivalent expression of 3x + 20 can be c(3x + 20). where c can be any constant.

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Answer:

2, 8

Step-by-step explanation:

-1/2x^2 + 5x = 8

-x^2 + 10x = 16 (Multiplying both sides of the equation by 2)

-x^2 + 10x  - 16 = 0

x^2 - 10x + 16 = 0 (changing the signs)

x^2 -2x -8x +16 = 0

x (x-2) -8 (x-2) = 0

(x-2) (x-8)

x-2 = 0

x = 2

or

x -8 = 0

x = 8

Answer from Gauthmath

The values of x are solutions to this equation that is 2, 8

An equation is an expression that shows the relationship between two or more numbers and variables.

We are given that the equation as;

-1/2x² + 5x = 8

-x² + 10x = 16

Now Multiplying both sides of the equation by 2;

-x² + 10x  - 16 = 0

Or

x² - 10x + 16 = 0

x² -2x -8x +16 = 0

x (x-2) -8 (x-2) = 0

(x-2) (x-8)

The solution are;

x-2 = 0

x = 2

or

x -8 = 0

x = 8

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Answer:

ok whats the question?

Step-by-step explanation:

i only see the explanation

Answer:

The null hypothesis: there is no difference between the mean IQ level of people who were reared by their biological parents and those who were reared by someone else.

Step-by-step explanation:The null hypothesis can be a general statement mostly in statistics that proposes no difference or no relationship between 2 phenomena etc

Researchers always carry out a study to test against the null hypothesis ie the opposite of the null hypothesis showing that there is a difference. In this study, the researchers aim is to establish that there is a difference between the mean IQ level of people who were reared by their biological parents and those who were reared by someone else. This goes against the null which states that

there is no difference between the mean IQ level of people who were reared by their biological parents and those who were reared by someone else.

Answer:

linear function

(last option)

Step-by-step explanation:

We can see from the table that, as x increases by one unit, y decreases by 4 units

Therefore the slope (rate of change of y wrt x) is constant and = - 4

Hence linear

Answer:

Step-by-step explanation:

-9+6-1-2-3-4+5-6

-3-3-7-1

-6-8

-14

Answer:

The answer is -14.

Step-by-step explanation:

-(9 - 6) + (-1 -2) - (3 + 4) + (5 - 6)

Subtract 6 from 9 to get 3.

-3 -1 -2 - (3 + 4) + 5 - 6

Subtract 1 from -3 to get -4.

-4 - 2 - (3 + 4) + 5 - 6

Subtract 2 from -4 to get -6.

-6 - (3 + 4) + 5 - 6

Add 3 and 4 to get 7.

-6 - 7 + 5 - 6

Subtract 7 from -6 to get -13.

-13 + 5 - 6

Add -13 and 5 to get -8.

-8 - 6

Subtract 6 from -8 to get -14.

-14.

We want to solve the following equation

First, we start by distributing the multiplication on the left side, so we have

Note that if we compare this step to the second step of the given procedure, the mistake occured on the distribution of the multiplication. So, instead of writing -6, the mistake was to write -3.

Now, we continue to solve the equation from this point. First, we operate on the left side, so we get

Now, we subtract 1 from both sides

Then, we divide both sides by 2. So we get

Answer:

The answer is 5/12

Step-by-step explanation:

3/4 - 1/3 = 5/12

Therefore 1/3 + 5/12 has to equal 3/4

Answer:

5/12

Step-by-step explanation:

5/12+1/3= 15+12/36= 27/36

27/36/9= 27/9=3 and 36/9=4

5/12+1/3=3/4

Let's denote the three numbers A, B, and C.

Given that the highest common factor (HCF) of these three numbers is 8 and their sum is 80, we can consider possible combinations of numbers that satisfy these conditions.

Since the HCF is 8, all three numbers must be divisible by 8. Additionally, the sum of the numbers is 80, so we need to find combinations of three numbers that satisfy both conditions.

Let's list the possible combinations:

These are the four possible sets of three numbers that satisfy the given conditions: (8, 16, 56), (16, 8, 56), (24, 8, 48), and (8, 24, 48).

Answer:

y = x

Step-by-step explanation:

slope of y=x+4 is 1

parallel means same slope = 1

so y - 2 = 1*(x - 2)

y = x

Answer:

75 degrees i think im probably wrong tho!

Step-by-step explanation:

Answer:

30

Step-by-step explanation:

If A||B then the sum of given angles must be equal to 180°

2x + 50 + 5x - 80 = 180 add like terms

7x - 30 = 180 add 30 to both sides

7x = 210 divide both sides by 7

x = 30

Answer:

≈ -0.0005

Step-by-step explanation:

The value of x for each item is given as follows:

28. x = 5.

29. x = 3.44.

For item 28, we apply the crossing chord theorem, which states that the products of the parts of the chords are equal, hence the value of x is obtained as follows:

16x = 10 x 8

16x = 80

x = 5.

For item 29, we apply the two secant theorem, hence the value of x is obtained as follows:

10(x + 10) = 12(12 + 25)

10x + 100 = 444

10x = 344

x = 3.44.

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Answer:

1/5 or 0.2

Step-by-step explanation:

Probability calculates the likelihood of an event occurring. The likelihood of the event occurring lies between 0 and 1. It is zero if the event does not occur and 1 if the event occurs.

For example, the probability that it would rain on Friday is between o and 1. If it rains, a value of one ids attached to the event. If it doesn't a value of zero is attached to the event.

Numbers that would be divisible by 5 are multiples of 5

they include = 5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60, 65, 70, 75, 80, 85, 90, 95, 100

there are 20 numbers

Probability the two numbers would be divisible by 5 = 20/100

To transform to the simplest form. divide both the numerator and the denominator by 20

1/5

An equivalent expression with fewer terms than 3x - 4 - (5x + 7) is - 2x - 11.

An expression is a number, or a variable, or a combination of numbers and variables and operation symbols.

Now the given expression is,

3x - 4 - (5x + 7)

Expanding the brackets we get,

3x - 4 - (5x + 7) = 3x - 4 - 5x - 7

Taking alike terms together we get,

3x - 4 - (5x + 7) = 3x - 5x - 4 - 7

Solving we get,

3x - 4 - (5x + 7) = - 2x - 11

These are equivalent expression.

Thus, an equivalent expression with fewer terms than 3x - 4 - (5x + 7) is - 2x - 11.

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Answer:

S would now only be 3 units from R instead of 6 units from R.  Move S three units to the left.

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

5•x=5x

5• (-5)=-25

5x-25 and 5(x-5) are equivalent

Answer:

awnsrer is b 5(x-5) and 5x - 25

The rule of dilation is a dilation by a scale factor of 2

From the question, we have the following parameters that can be used in our computation:

The scale factor is calculated as

Scale factor  = A'/A

Substitute the known values in the above equation, so, we have the following representation

Scale factor  = (2, 2)/(1, 1)

Evaluate

Scale factor  = 2

Hence, the rule of dilation is (2x, 2y)

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Answer:

8.3 is to 1d.p so to find the error interval, you divide 0.1 by 2 = 0.05

8.3 + 0.05 = 8.35

8.3 - 0.05 = 8.25

8.25<y<8.35

The missing values in the quantitative reasoning given are : -2, 13 and 9

Given the rule :

We can deduce that :

For the left circle :

circle = -6 - (-4) = -6 + 4 = -2

For the right circle :

circle = 11 - (-2) = 11 + 2 = 13

For the left square :

square = 13 + (-4)

square = 13 -4 = 9

Therefore, the missing values are : -2, 13 and 9

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The impact on Carns Company's income from eliminating the Small Tools Division would be a decrease of $1,209,000.

To determine the impact on Carns Company's income from eliminating the Small Tools Division, we need to consider the avoidable costs associated with the division.

The avoidable costs include all of the variable costs of the division and a portion of the fixed costs that are specifically related to the Small Tools Division. In this case, the variable costs of the division are $1,295,000, and $119,000 of the fixed costs are avoidable.

To calculate the impact on income, we subtract the avoidable costs from the loss reported by the division:

Impact on income = Loss - Avoidable costs

Impact on income = $205,000 - ($1,295,000 + $119,000)

Impact on income = $205,000 - $1,414,000

Impact on income = -$1,209,000

The negative sign indicates a decrease in income.

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Answer:

1 to 150! hope that helps :)