work out the surface area of this cylinder

Step-by-step explanation:

Just :    5,8374

Answer:

Theorem 4.6 Angle-Angle-Side (AAS) Congruence Theorem: If two angles and a non-included side of one triangle are congruent to two angles and the corresponding non-included side of a second triangle, then the two triangles are congruent.

Step-by-step explanation:

Answer:

  $700 for a chair and a table

Step-by-step explanation:

Let t and c represent the price of a table and a chair, respectively. The given relations are ...

  10c = 4t

  15c +2t = $4000

Divide the first equation by 2 and substitute for 2t:

  5c = 2t

  15c +5c = $4000

  20c = $4000

  c = $200

  t = 5c/2 = 5($200)/2 = $500

The total price of a chair and a table is ...

  $200 +500 = $700 . . . . price of a chair and a table

Answer:(2x+7)+(2x+7)

Step-by-step explanation:

what you do is put 2x on the top and on the side and then seven on the top and on the side and then you got your answer

Answer:

Step-by-step explanation:

10

Ws

Answer:

$7,459.12

Step-by-step explanation:

The formula for continuous compounding is

A = Pe^(rt), where P is the original amount, A is the accumulated amount, r is the interest rate as a decimal fraction, and t is the number of years.  We want to know how much he will owe on this original $5,000 credit card debt after 2 years.

A = $5,000e^(0.20*2)

  = $7,459.12

Step-by-step explanation:

The formula for continuous compounding is

A = Pe^(rt), where P is the original amount, A is the accumulated amount, r is the interest rate as a decimal fraction, and t is the number of years.  We want to know how much he will owe on this original $5,000 credit card debt after 2 years.

A = $5,000e^(0.20*2)

  = $7,459.12

Answer:

Well theyd fight over who got the last slice and probably end up dropping it

Step-by-step explanation:

the actual answer is 4/9 of each pizza

Answer:

4/9

Step-by-step explanation:

hope this helps

Step-by-step explanation:

Area of the trapezoid = height x average of bases

                 area = 4 x (8+13)/2) = 42 in^2

Area of triangle  = 1/2 base * height   = 1/2 (13-8) * 4 = 10 in^2

Answer:

x=9/23 and y=18/23

Step-by-step explanation:

Substitute 2 x for y in 25x−y=9

25x−y=9

25x−2x=9

23x=9

23x/23=9/23

x=9/23

substitute 9/23 for x in y=2x

y=2x

y=2(9/23)

y=18/23

x= 9/23 and y=18/23

The correct formula for this scenario is A. =IF(B3>B2, ROUND(B3 - B2, 0), 0).

The IF and ROUND functions are two commonly used functions in Microsoft Excel. Here's a brief explanation of each:

IF Function:

The IF function allows you to test whether a certain condition is true or false, and then perform a specific action based on the result of that test. The basic syntax of the IF function is as follows:

=IF(logical_test, value_if_true, value_if_false)

Here, the "logical_test" is the condition that you want to test. If this condition is true, then Excel will return the "value_if_true". If the condition is false, Excel will return the "value_if_false".

For example, suppose you have a cell A1 that contains a number. You could use the IF function to test whether that number is greater than 10, and then return "Yes" if it is, and "No" if it isn't, using the following formula:

=IF(A1>10, "Yes", "No")

ROUND Function:

The ROUND function allows you to round a number to a specific number of decimal places. The basic syntax of the ROUND function is as follows:

=ROUND(number, num_digits)

Here, the "number" is the number that you want to round, and the "num_digits" is the number of decimal places to which you want to round. If the "num_digits" is positive, then the function will round to the specified number of decimal places to the right of the decimal point. If the "num_digits" is negative, then the function will round to the left of the decimal point.

For example, suppose you have a number in cell A1 that contains many decimal places, and you want to round it to two decimal places. You could use the ROUND function as follows:

=ROUND(A1, 2)

This will round the number in cell A1 to two decimal places.

Here,

The correct formula for this scenario is A. =IF(B3>B2, ROUND(B3 - B2, 0), 0).

This formula uses the IF function to check whether the amount paid (B3) is greater than the amount for which the person is responsible (B2). If this is true, then it subtracts the amount for which the person is responsible from the amount paid and rounds the difference to the nearest whole number using the ROUND function. If the amount paid is not greater than the amount for which the person is responsible, then the formula displays zero.

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The correct value of 2f(a-1) is 2a^2 - 12a + 10.

To find the value of 2f(a-1), we need to substitute (a-1) into the function f(x) and then multiply the result by 2.

Given: f(x) = x^2 - 4x

Substituting (a-1) into the function:

f(a-1) = (a-1)^2 - 4(a-1)

Expanding and simplifying:

f(a-1) = (a^2 - 2a + 1) - (4a - 4)

f(a-1) = a^2 - 2a + 1 - 4a + 4

f(a-1) = a^2 - 6a + 5

Now, we multiply the result by 2:

2f(a-1) = 2(a^2 - 6a + 5)

Expanding:

2f(a-1) = 2a^2 - 12a + 10

Therefore, the value of 2f(a-1) is 2a^2 - 12a + 10.

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Intersection of B'∩C = {k, y}

To find the intersection of B' and C, we need to first find the complement of set B (B') and then find the intersection between B' and C.

1. Complement of set B (B'):

The complement of set B (B') consists of all elements in the universal set U that are not in set B. From the given information, set B is defined as {k, s, y}', which means it contains all elements in U except for k, s, and y. Therefore, the complement of set B is {f, m, x, z}.

2. Intersection between B' and C:

Now, we need to find the intersection between B' (complement of B) and set C. From the given information, set C is defined as {s, z}. To find the intersection, we need to identify the common elements between B' and C.

The elements present in both B' and C are k and y. Therefore, the intersection of B' and C is {k, y}.

So, the answer to (b) is B'∩C = {k, y}.

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Answer:

its b good luck

Step-by-step explanation:

Answer:

40 miles away from home

To put it in yard would be 82,720

Step-by-step explanation:

Answer:

65/100 that is the answer to this question

Population rate can be represented using exponential functions

The predicted population for 2050 is 1496280

The initial population is given as;

a = 3290000

The rate of decline is given as:

r = 2%

So, the population function is:

\(p = a*(1 - r)^t\)

This gives

\(p = 3290000*(1 - 2\%)^t\)

2050 is 39 years after 2011.

So, we have:

\(p = 3290000*(1 - 2\%)^{39\\\)

Evaluate

\(p = 1496280\)

Hence, the predicted population for 2050 is 1496280

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Answer:

$1598

Step-by-step explanation:

1st week

4*15=60

32*9=288

59*3=177

60+177+288=525

2nd week

5*15=75

59*7=413

32*4=128

75+413+128=616

3rd week

8*15=120

3*59=177

5*32=160

120+177+160=457

525+616+457=$1598

Answer: 0.75

Step-by-step explanation:

Given the following :

Using the formula above :

___bag 1__bag 2__(bag1-m)/sd__(bag2-m)/sd2

D 1___2____4_____-0.8________-0.4

D 2___4____5_____0_________0

D 3___1____3_____-1.2_________-0.9

D 4___6___ 4_____0.8_________-0.4

D 5___7___9_____ 1.2_________ 1.7

Bag1:

Mean = 4

Standard deviation = 2.5

Bag2:

Mean = 5

Standard deviation = 2.3

Σ-0.8*-0.4 + 0 + - 1.2*-0.8 + 0.8*-0.4 + 1.2*1.7) = 3

1/ (n-1) × 3

1/(5 - 1) × 3

(1/4) × 3

0.25 * 3 = 0.75

Answer:

0.75

Step-by-step explanation:

Answer:

A)Josh

B)Mila

C) Amir

An exponential equation in the form \(y=a(b)^x\) that can model the amount of caffeine, y, in Kendall's body x hours after drinking the coffee is

The amount of caffeine that will be in Kendall's body after 12 hours is 18 milligrams.

In Mathematics, an exponential function can be modeled by using the following mathematical equation:

f(x) = a(b)^x

Where:

Since Kendall drank a cup of coffee that had 95 milligrams of caffeine which is decreasing at a rate of 5% per day, this ultimately implies that the relationship is geometric and the rate of change (decay rate) is given by:

Rate of change (decay rate) = 100 - 13 = 87% = 0.87.

By substituting the parameters into the exponential equation, we have the following;

\(f(x) = 95(0.87)^x\)

When x = 12, we have;

\(f(12) = 95(0.87)^{12}\)

f(12) = 17.86 ≈ 18 milligrams.

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Let's assume that the corresponding side of the second triangle is \(\displaystyle\sf x\).

The ratio of the areas of two similar triangles is equal to the square of the ratio of their corresponding sides. Therefore, we can set up the following proportion:

\(\displaystyle\sf \left( \dfrac{x}{6.3} \right)^{2} =\dfrac{49}{81}\)

To find \(\displaystyle\sf x\), we can solve the proportion above:

\(\displaystyle\sf \left( \dfrac{x}{6.3} \right)^{2} =\dfrac{49}{81}\)

Taking the square root of both sides:

\(\displaystyle\sf \dfrac{x}{6.3} =\sqrt{\dfrac{49}{81}}\)

Simplifying the square root:

\(\displaystyle\sf \dfrac{x}{6.3} =\dfrac{7}{9}\)

Cross-multiplying:

\(\displaystyle\sf 9x = 6.3 \times 7\)

Dividing both sides by 9:

\(\displaystyle\sf x = \dfrac{6.3 \times 7}{9}\)

Calculating the value:

\(\displaystyle\sf x = 4.9\)

Therefore, the corresponding side of the second triangle is \(\displaystyle\sf 4.9 \, cm\).

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Answer:

Step-by-step explanation:

let's assume that the corresponding side of the second triangle is .

The ratio of the areas of two similar triangles is equal to the square of the ratio of their corresponding sides. Therefore, we can set up the following proportion:

To find , we can solve the proportion above:

Taking the square root of both sides:

Simplifying the square root:

Cross-multiplying:

Dividing both sides by 9:

Calculating the value:

Therefore, the corresponding side of the second triangle is 4.9cm


hope it helped u dear...........

The smallest positive integer which when divided by 5 leaves a remainder of 3 is 8

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

Divisor = 5

Remainder = 3

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

Smallest integer = Divisor + Remainder

So, we have

Smallest integer = 5 + 3

Evaluate

Smallest integer = 8

Hence, the smallest is 8

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Given that,

The expression is \((a^5)^2\).

To find,

Rewrite the expression in the form of \(a^n\).

Solution,

We have, \((a^5)^2\).

We can use the property of exponent as follows :

\((a^m)^n=a^{mn}\)

Here, m = 5 and n = 2

\((a^5)^2=a^{5\times 2}\\\\=a^{10}\)

Hence, the final answer is \(a^{10}\) where n = 10.

Answer:

17

Step-by-step explanation:

if:

x+35=3x+1

2x=34

x=17

Answer: 17

Step-by-step explanation:

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Answer:

Step-by-step explanation:

40 x 1 = 40

20 x 2 = 40

10 x 4 = 40

8 x 5 = 40

Answer:

Step-by-step explanation:

7.........................................

Trapezium MNOP

Top two angles are equal as it is isosceles

---------

Angles O and P are equal too and they are supplementary with angles M and N. Supplementary angles add up to 180° as per definition.

8.........................................

Similar to problem 7, we have isosceles trapezium WXYZ

∠X and ∠Y are supplementary angles:

---------

         Rate of interest by which amount $181.25 becomes $1450 in 7 years by continuous compounding will be 29.71%.

         Final amount = \(Pe^{rt}\)

         Here, P = Principal amount

                    r = Rate of interest

                    t = Duration of investment

Given in the question,

P = $181.25

t = 7 years

Final amount = $1450

Substitute these values in the expression,

\(1450=181.25e^{7r}\)

\(e^{7r}=8\)

\(\text{ln}(e)^{7r}=\text{ln}(8)\)

\(7r=2.07944\)

\(r=0.2971\)

\(r=29.71\%\)

       Therefore, rate of intereset for the investment is 29.71%.

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