14. A small cone has a diameter of 6 cm and a height of 7 cm. A large cone
has a diameter of 12 cm and a height of 9 cm. What is the *approximate*
difference in the volumes of the two cones?
A 66 cm
a 273 cm
C 339 cm
D. 405 cm3


Quick!!! Due today!

Answer:

D

Step-by-step explanation:

We know that MRT = 133 which means that is the total. Angle MRN and NRT are what makes the total angle which is 133. To find what each angle is individually, we can add them both together.

(2g - 2) + (4q - 9) = 133

6q - 11 = 133

6q = 144

q = 24

Best of Luck!

D. (2g - 2)+(4g -9) = 133

Because,

Given, angle MRT = 133°

and MRN = 2g - 2 °

and NRT = 4g - 9°

and MRT = MRN + NRT .........(equation (i))

Placing values in equation (i) we get,

133° = (2g - 2)° + (4g - 9)°

=> 133 = (2g - 2) + (4g - 9)

=> (2g - 2) + (4g - 9) = 133

the actual velocity of the plane is 380 mph [14.6° east of south], and the actual speed and direction of the plane are 380 mph and 14.6° east of south respectively.

Actual velocity vector = 380 mph [14.6° east of south]

Actual speed = 380 mph

Actual direction = 14.6° east of south

The actual velocity of the plane can be determined by subtracting the velocity of the tail wind (80 mph) from the initial velocity of the plane (460 mph). This gives us a result of 380 mph. To calculate the direction of the actual velocity, we need to subtract the direction of the tail wind (20 degrees west of south) from the direction of the initial velocity of the plane (10 degrees east of south). This gives us a result of 14.6° east of south. Therefore, the actual velocity of the plane is 380 mph [14.6° east of south], and the actual speed and direction of the plane are 380 mph and 14.6° east of south respectively.

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Answer:

\(( {2}^{ - 6} )(5)( {2}^{3} \times 5) {}^{2} \\ \\ = 2 {}^{( - 6 + (3 \times 2))} \times {5}^{(1 + 2)} \\ \\ = {2}^{0} \times {5}^{3} \\ \\ = 1 \times {5}^{3} \\ \\ = {5}^{3} \)

Answer:

28.72% of students failed the course

Step-by-step explanation:

P(0<X<55) = normalcdf(0,55,74,10) = 0.287164928 = 28.72% of students failed the course

Answer:

Step-by-step explanation:

DO YOU MEAN :

\(4x + 5y = 7\\ 3x - 2y = -12\\Multiply-equation 1 -by -the-coefficient-of-x-in-equation-2\\multiply-equation-2 -by-the-co-efficient -of x -in-equation- 1\\\\3(4x + 5y = 7)\\4( 3x - 2y = -12)\\\\12x +15y=21\\12x -8y=-48\)

Answer:

5/48

Step-by-step explanation:

(5/8 - 1/2) x 5/6

(5/8 - 4/8) x 5/6

1/8 x 5/6

5/48

Answer:

\(\dfrac{5}{48}\)

Step-by-step explanation:

\(\left(\dfrac{5}{8} - \dfrac{1}{2}\right) \times \dfrac{5}{6}\)

First, represent 1/2 as 4/8.

\(\dfrac{1}{2} \times \dfrac{4}{4} = \dfrac{4}{8}\)

\(\left(\dfrac{5}{8} - \dfrac{4}{8}\right) \times \dfrac{5}{6}\)

Then, simplify the subtraction.

\(\dfrac{1}{8} \times \dfrac{5}{6}\)

Finally, multiply the numerators and denominators of the resulting fractions.

\(\dfrac{1 \times 5}{8 \times 6}\)

\(\dfrac{5}{48}\)

9514 1404 393

Answer:

  5

Step-by-step explanation:

Fill in the given values and do the arithmetic.

  \(\dfrac{12x-3y}{4x-z}=\dfrac{12\cdot3-3\left(\dfrac{1}{3}\right)}{4\cdot3-5}=\dfrac{36-1}{12-5}=\dfrac{35}{7}=\boxed{5}\)

Answer:

Step-by-step explanation:

We know that:

Solution:

Hence, 5 is the answer.

Given statement solution is :- The present value of R13,000 per year invested for 8 years at 10% compound interest is approximately R69,776.60.

To calculate the present value of an investment with compound interest, we can use the formula for the present value of an annuity:

PV = A *\((1 - (1 + r)^(-n)) / r\)

Where:

PV = Present value

A = Annual payment or cash flow

r = Interest rate per period

n = Number of periods

In this case, the annual payment (A) is R13,000, the interest rate (r) is 10% per year, and the investment is made for 8 years (n).

Using the formula and substituting the given values, we can calculate the present value:

PV = \(13000 * (1 - (1 + 0.10)^(-8)) / 0.10\)

Calculating this expression:

PV = \(13000 * (1 - 1.10^(-8)) / 0.10\)

= 13000 * (1 - 0.46318) / 0.10

= 13000 * 0.53682 / 0.10

= 6977.66 / 0.10

= 69776.6

Therefore, the present value of R13,000 per year invested for 8 years at 10% compound interest is approximately R69,776.60.

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Answer:

Refer to the step-by-step explanation.

Step-by-step explanation:

Come up with a monomial expression and solve it.

A monomial expression is an algebraic expression that consists of a single term. It is an expression that can contain variables, constants, and non-negative integer exponents, but there should be no addition or subtraction between different terms.

Here are a few examples of an monomial expression:

\(\hrulefill\)

Let's work with the monomial expression, 3x²y³z.

To solve this expression, I assume you would like to evaluate it for specific values of the variables x, y, and z. So let x=3, y=2, and z=1.

Plug these values into the expression:

3x²y³z

=> 3(3)²(2)³(1)

=> 3(9)(8)(1)

=> 27(8)(1)

=> 216(1)

=> 216

Thus, the expression is solved.

It looks like the differential equation is

\(\dfrac{dy}{dx} = \dfrac{xy + 3x - y - 3}{xy - 2x + 4y - 8}\)

Factorize the right side by grouping.

\(xy + 3x - y - 3 = x (y + 3) - (y + 3) = (x - 1) (y + 3)\)

\(xy - 2x + 4y - 8 = x (y - 2) + 4 (y - 2) = (x + 4) (y - 2)\)

Now we can separate variables as

\(\dfrac{dy}{dx} = \dfrac{(x-1)(y+3)}{(x+4)(y-2)} \implies \dfrac{y-2}{y+3} \, dy = \dfrac{x-1}{x+4} \, dx\)

Integrate both sides.

\(\displaystyle \int \frac{y-2}{y+3} \, dy = \int \frac{x-1}{x+4} \, dx\)

\(\displaystyle \int \left(1 - \frac5{y+3}\right) \, dy = \int \left(1 - \frac5{x + 4}\right) \, dx\)

\(\implies \boxed{y - 5 \ln|y + 3| = x - 5 \ln|x + 4| + C}\)

You could go on to solve for \(y\) explicitly as a function of \(x\), but that involves a special function called the "product logarithm" or "Lambert W" function, which is probably beyond your scope.

Answer:

L(f(t)) = \(\frac{5s - 60\sqrt{3} }{s^2 + 144}\)

Step-by-step explanation:

f ( t ) = 10 cos ( 12t + 60°) u(t)

attached below is a detailed solution of the given problem

L(f(t)) = \(\frac{5s - 60\sqrt{3} }{s^2 + 144}\)

Answer:

x/9

Step-by-step explanation:

x divided by 9

=> x ÷ 9

Take that and turn it into a fraction

=> x/9

hope this helps and is right. p.s. i really need brainliest :)

Answer:

45

Step-by-step explanation:

Answer:

1/6

Step-by-step explanation:

2/3 of the bedspread is covered in race cars , therefore

1/3 of the bedspread is covered in stripes

2/4 of those 1/3 are red stripes

to find the fraction of the red stripes

2/4 x 1/3 = 2 / 12 = 1/6

The total amount of Valeria's bill after deducting the discount is $9.98.

Given;

Cost of each six-packs of soda = $1.45

Number of six-packs of soda = 2

Total cost of six-packs of soda = 2 × $1.45

= $2.90

Given;

Cost of each bags of chips = $2.49

Number of bags of chips = 3

Total cost of bags of chips = 3 × $2.49

= $7.47

Cost of half-gallon of ice cream = $4.60

Total cost of Valerie's purchase = $2.90 + $7.47 + $4.60

= $14.97

Coupon = one-third off her total bill

Total amount paid = 14.97 - 1/3(14.97)

= 14.97 - 4.99

= $9.98

Therefore, the total amount of Valeria's bill after deducting the discount is $9.98.

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They can buy 120 vans, 60 small trucks, and 80 large trucks.

The truck company plans to spend 10 million on 260 vehicles. Each commercial van cost 25,000 dollars. Each small truck 50,000 dollars and each large truck 50,000 dollars. They needed twice as many van as small truck

Therefore,

let

s = number of small truck

number of van = v

let

l = number of large truck

v + s + l = 260

25,000(v) + 50,000(s) + 50,000(l) = 10,000, 000

v + 2s + 2l = 400

Hence,

v = 2s

So,

2s + 2s + 2l = 400

4s + 2l = 400

2s + s + l = 260

3s + l = 260

2s + l = 200

s = 60

l = 200 - 2(60)

l = 200 - 120

l = 80

v = 2(600 = 120

Therefore, they can buy the following:

number of small truck = 60

number of van = 120

number of large truck = 80

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Answer:

Ashley can serve 12 pieces of pizza in the party

Step-by-step explanation:

To solve this question we need to convert the 9 pizzas to decimal:

9 times 4 = 36. That is:

9 pizzas are equal to 36/4 of pizza (36/4 = 9)

As Ashley is serving 3/4 of a pizza she can serve:

36/4 ÷ 3/4 = 36/3 = 12

Answer:

y = 25x +100

He will collect 275 pounds in 7 weeks

It will take him 12 weeks.

Hope this helps!

\(\\ \rm\longmapsto \overline{z}=-(z)\)

\(\\ \rm\longmapsto \overline{z}=-(x+iy)\)

\(\\ \rm\longmapsto \overline{z}=-(\sqrt{3}+2)\)

\(\\ \rm\longmapsto \overline{z}=-\sqrt{3}-2\)

Answer:

f(2) = -8

Step-by-step explanation:

Step 1: Write equation

f(x) = 3x - 14

f(2) is x = 2

Step 2: Substitute and Evaluate

f(2) = 3(2) - 14

f(2) = 6 - 14

f(2) = -8

Let's say that the vertex is the following red point:

Then, its reflection across y-axis would be the blue point:

If we observe the coordinates, we will have that:

(5, 3) is transformed into (-5, 3). This is going to happen no matter the coordinate:

AS per the given confidence interval, the z score is 0.54

The term confidence interval refers a parameter will fall between a pair of values around the mean.

Here we have given that if the 90 percent confidence interval for u is from 34 to 50 then there is a 10 percent

And we need to find the z value.

While we looking into the given situation, we have identified the following values,

Confidence interval = 95%

Interval = 34 - 50

Mean = 10

Through the given interval we have identified the that sample size was calculated as,

=> 50 - 34

=> 16

Then the z score is

=> z = 10/√16

=> z = 10/4

=> z = 2.5

Then according to the confidence interval, the value from the z table is obtained as.

=> z = 1.96

Then the difference is

=> 2.5 - 1.96

=> 0.54

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Answer: 22

Step-by-step explanation:

20 - 10/2 + 2 . 2

10/5 = 2

20 - 2 + 2 . 2

= 20 - 2 + 4  = 22

hope this helps

The amount that Lydia has earned on her investment is $198 on the stock paying the 11% dividend and $252 on the stock paying 14% interest for a total earned of $450 on her $3600 investment.

Let x represent half of her total investment.

The total annual interest earned is $450.

This is represented by the following equation:

0.11x + 0.14x= 450

Collect the like terms together

0.25x = 450

x= 1800

Therefore, half of her total investment is $1800 so her total investment is $3600.

Check the solution:

0.11∗1800 + 0.14 ∗ 1800 = 450

198 + 252 = 450

Therefore, she earned $198 on the stock paying the 11% dividend, and $252 on the stock paying 14% interest for a total earned of $450 on her $3600 investment.

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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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Using the Fundamental Counting Theorem, it is found that:

The 2 people can arrange themselves in 40 ways.

It is a theorem that states that if there are n things, each with \(n_1, n_2, \cdots, n_n\) ways to be done, each thing independent of the other, the number of ways they can be done is:

\(N = n_1 \times n_2 \times \cdots \times n_n\)

With one people in the aisle and one in the normal seats, the parameters are:

n1 = 4, n2 = 7

With both in the aisle, the parameters is:

n1 = 4, n2 = 3

Hence the number of ways is:

N = 4 x 7 + 4 x 3 = 28 + 12 = 40.

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Answer:

2\(\frac{1}{3}\)inches

Step-by-step explanation:

First, I would try to get the mixed numbers into improper fractions. Then, I try to make them have the same denominator so it is easier.

1\(\frac{1}{2}\)feet --- 2 inches

\(\frac{3}{2}\)feet --- 2 inches

\(\frac{6}{4}\)feet --- 2 inches

1\(\frac{3}{4}\)feet --- ? inches

\(\frac{7}{4}\)feet --- ? inches

\(\frac{7}{4}\)feet --- \(\frac{7}{6}\) × 2 inches

             = 2\(\frac{1}{3}\)inches

The value of common ration r is 4.

Given that,

a₁ = 9

a₅ = 2304

We know that,

A geometric sequence  is a sequence in which each term (except from the first term) is multiplied by a fixed amount to obtain the following term.

The following term in the geometric sequence must be obtained by multiplying it by a set term (referred to as the common ratio), and the previous term in the sequence can be obtained by dividing it by the same common ratio.

Since we know that nth term of GP is,

\(a_{n}\) = a₁ \(r^{n-1}\)

Therefore,

a₅ = a₁ \(r^{4}\)  = 2304

⇒  9 x \(r^{4}\)  = 2304

⇒        \(r^{4}\)  = 256

⇒           r = 4

Hence, r = 4

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Answer:

7065 cm^3

Step-by-step explanation:

tell me if you got it wrong