Find the surface area of the cylinder. Round your answer to the nearest hundredth.
A. 569.26 in2
B. 724.34 in2
C. 795.45 in2
D. 1,707.77 in2

Answer:

Brother's age =24

Om's age =19

Step-by-step explanation:

Let bro's age be x

Let om's age be x-5

x+x-5=43

2 x -5=43

2 x = 43+5

2 x = 48

x = 24

[tex]\text{Solve by plugging in 3 to x:}\\\\f(x)=5+4(3)^2\\\\f(x)=5+4(9)\\\\f(x)=5+36\\\\f(x)=41\\\\\boxed{f(3)=41}[/tex]

Answer:

hope this helps

Step-by-step explanation:

f(x) = 5 + 4x^2, then f(3)

5 + 4(3)^2

5+4(9)

5+36

41

Answer:

[tex]3.18cm[/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

Answer:

B

Step-by-step explanation:

(1+isqrt(3))(1+2isqrt(3))=1+2i√3+i√3+i√3*2i√3=3i√3-5=-5+3i√3

Answer:

[tex]m = 789[/tex]

Step-by-step explanation:

[tex]774 = m - 15 \\ 774 + 15 = m \\ 789 = m[/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

So the right answer is 789

look at the attached picture

Hope it will help you

Good luck on your assignment

You have to determine how many weeks it takes them to make that much, then you add the total. you can determine how many weeks it takes by multiplying

Answer: So you have to first find out how many weeks Alicia needs to work and write it like this (an example)

3x?=9 something like that hope i helped

Step-by-step explanation:

Answer: True

Step-by-step explanation:

In triangles MNP and QRS:

NP=RS (hypotenuses);

∠P=∠S (acute angles).

Then, triangles MNP and PRS are congruent by HA theorem.

which makes the answer true

Answer:

True

Step-by-step explanation:

I just took the test, A-p-e-x

Answer:

good luck !!

Step-by-step explanation:

Answer:

Good luck

Step-by-step explanation:

The equation can be written as:

4 + 5 / 2

Remember to follow PEMDAS.

4 + 5 / 2

4 + 2.5

6.5

Best of Luck!

Answer:

If you mean whats 4+5/2 the answer is 6.5 because PEMDAS says to Divide first . So 4+(5/2). 5/2 is 2.5. so 4+(2.5) which equals 6.5

Answer:

vaulue is 4

Step-by-step explanation:

Answer:-2

Step-by-step explanation:

It’s not -6b because that is showing that it’s getting subtracted

Hope I helped

Answer:

288π or 904.78

Step-by-step explanation:

We know that the diameter of this beach ball is 12 inches and we want to determine how much air it can hold using the formula for the volume of a sphere which is [tex]\frac{4}{3}[/tex] × π × r³ where 'r' is the radius. In the question we are given the diameter not the radius but we can half the diameter to find the radius so 12 ÷ 2 = 6. The radius of the beach ball is 6 inches so let's work out how much air it can hold.

Volume = [tex]\frac{4}{3}[/tex] × π × r³

→ Let's substitute in the values

Volume = [tex]\frac{4}{3}[/tex] × π × 6³

→ Simplify

Volume = [tex]\frac{4}{3}[/tex] × π × 216

→ Simplify further

Volume = 288π or 904.78

The amount of air can the sphere shape beach ball hold is 208π or 904.78 inches.

The "set of all  points  in 3 dimensional space is lying the same distance from the given points or center" is called sphere.

According to the question,

Diameter of sphere shape beach ball is 12inches

Radius of sphere shape beach ball is 12/2 = 6inches

Volume of sphere = [tex]\frac{4}{3}[/tex] × π × r³  

= [tex]\frac{4}{3}[/tex] × [tex]\frac{22}{7}[/tex] × (6)³

= 904.78inches

Hence, the amount of air can the sphere shape beach ball hold is 208π or 904.78 inches.

Learn more about sphere here

https://brainly.com/question/20377790

#SPJ2

Answer: 1)The more sandwiches you sell the more you income goes up. 2)If you sell 24 sandwiches  the cost will be the same as your income. 3) If you sell 0 sandwiches you will get zero income.

Step-by-step explanation:

Answer:

28 snakes are missing

Step-by-step explanation:

7 times 104 = 728

7 times 100 = 700

728 minus 700 = 28 snakes are missing

Answer:

It is 4

Step-by-step explanation:

Answer: 15.85km

Step-by-step explanation:

The car starts at the point (0,0)

Let's define east as the positive x-axis and north as the positive y-axis.

first, the car travels 10km southeast, so the angle is -45° from the east.

Then the new position of the car is:

(10km*cos(-45°), 10km*sin(-45°)) = (7.07km, -7.07km)

Now, from this point the car travels 15km with an angle of 60° (counting from the east)

So the new position is:

(7.07km + 15km*cos(60°), -7.07km + 15km*sin(60°)) = (14.57km  , 5.91km)

The magnitude of a vector (x, y) is √(x^2 + y^2)

So the magnitude of the vector (14.57km  , 5.91km) is:

√((14.57km)^2 + (5.91km)^2) = 15.85km

The magnitude of the car's resultant vector is 15.72.

Given that,

A car travels 10km southeast,

And then 15 km in a direction 60 degrees north of east.

We have to find,

The magnitude of the car's resultant vector.

According to the question,

To resultant direction calculate by using the sum of vectors following all the steps given below.

A car travels 10 km southeast,

And then 15 km in a direction 60 degrees north of east.

The first vector has module is 10 and angle is 315°,

In the south direction, the angle is  270° and east is 360°,

So the angle in southeast,

[tex]\rm = \dfrac{270+360}{2}\\\\= \dfrac{630}{2}\\\\= 315 \ degree[/tex]

The second vector has module 15 and angle = 40°

Decompose both vectors in their horizontal and vertical component:

The horizontal component of the first vector is,

[tex]\rm = 10 \times cos(315) = 10 \times 0.70= 7.07[/tex]

The vertical component of the first vector is,

[tex]= \rm 10 \times sin(315) = -7.07[/tex]

The horizontal component of the second vector is,

[tex]\rm = 15 \times cos(60) = 15 \times 0.5= 7.5[/tex]

The vertical component of the second vector is,

[tex]\rm = 15 \times sin(40) = 15 \times 0.86= 12.99[/tex]

The sum of the horizontal component of the resultant vector is,

[tex]= 7.07+7.5=14.57[/tex]

And the sum of the vertical component of the resultant vector is,

[tex]= -7.07+12.99=5.91[/tex]

The magnitude of the vector (14.57km, 5.91km) is:

Therefore,

The magnitude of the car's resultant vector is,

[tex]\rm Resulatant = \sqrt{(14.57)^2+ (5.91)^2}\\\\ Resulatant = \sqrt{212.28+ 34.92} \\\ \\ Resulatant = \sqrt{247.20}\\\\ Resulatant = 15.72[/tex]

Hence, The required magnitude of the car's resultant vector is 15.72.

For more details refer to the link given below.

https://brainly.com/question/16541081

Answer:

A is correct, when two lines have 1 intersection (1 solution).

Step-by-step explanation:

B Two lines are parallel => No intersection (no solution).

C Two lines are coincident => Many intersection (many solutions).

Hope this helps!

:)

Step-by-step explanation:

As these two lines are not parallel so going to intersect at one point so having one solution

Answer:

a. 135 is correct

Step-by-step explanation:

We have the following information:

dogs lover: 150

cats lover: 120

as the null hypothesis:

H, there are equal number of dogs lover and cats lover, so the expected frequency in each cell will be equal and that is:

f = (150 + 120) / 2

f = 270/2 = 135

so option a. 135 is correct

Answer:

(p+e)/(r-n) =  x

Step-by-step explanation:

p + nx=rx-e

Add e to each side

p +e+ nx=rx-e+e

p +e+ nx=rx

Subtract nx from each side

p +e+ nx - nx=rx-nx

p+e = rx -nx

Factor out x

p+e = x(r-n)

Divide each side by (r-n)

(p+e)/(r-n) =  x(r-n)/(r-n)

(p+e)/(r-n) =  x

Answer:

Dividing 4x^2 - 13x + 8  by x + 5 or x - (-5), in synthetic division form:

-5)        4          |       -13      |          8

           ↓               4 x (-5)     (-5) x (-33)  

           4                 -33               173

=> Quotient is 4x - 33 and remainder is 173

=> (4x^2  - 13x + 8)/(x + 5) = (4x - 33) + 173/(x + 5)

Hope this helps!

:)

Answer:

-5/4 -13 8

Step-by-step explanation:

Answer:

56

Step-by-step explanation:

Answer:

20

Step-by-step explanation:

Answer:

x = 12.29

Step-by-step explanation:

present value of the claim = x² / (1 + 2%)¹⁵ = 0.743x²

present value of the 10 premiums:

x + x/1.02 + x/1.02² + x/1.02³ + x/1.02⁴ + x/1.02⁵ + x/1.02⁶ + x/1.02⁷ + x/1.02⁸ + x/1.02⁹ = x + 0.9504x + 0.9612x + 0.9423x + 0.9238x + 0.9057x + 0.888x + 0.8706x + 0.8535x + 0.8368x = 9.1323x

0.743x² = 9.1323x

x² / x = 9.1323 / 0.743

x = 12.29

Answer

x = 12.29

Step-by-step explanation:

Given that the policy claims x² in 15 years, at 2% = 0.02, the present value of the claim is given as:

x²/(1 + 0.02)^15

= x²(1/1.02)^15

= 0.743x²

The present value of the 10 premiums:

x + x/1.02 + x/1.02² + x/1.02^3 + x/1.02^4 + x/1.02^5 + x/1.02^6 + x/1.02^7 + x/1.02^8 + x/1.02^9

= x + 0.9504x + 0.9612x + 0.9423x + 0.9238x + 0.9057x + 0.888x + 0.8706x + 0.8535x + 0.8368x

= 9.1323x

Now,

0.743x² = 9.1323x

x²/x = 9.1323/0.743

x = 12.29

This is what we are looking for.

Answer:

The cop = 40 and the baseball cap = 3 and the baseball bat = 21

Step-by-step explanation:

So 40 - 21 + 3(2) = 25

Answer:

25

Step-by-step explanation:

look at the whole thing first. you see that the field = player so first you do 120/3. you get 40. then for teh second you have two "40's" and an unknown. so you do 101-80 because 40+40=80 and get 21. for the fourth you have 21/?=7 . we can do 21/7=3 to find this. so the helmet is 3. for the final we have 40-21+6 and that equals 25. thank you ;)

Answer:

Step-by-step explanation:

Given that:

To bet $5 that the outcome is any one of these five possibilities: 0, 00, 1, 2, 3.

Let Y represent the Amount of net profit

Then, Y= {-5, 30}

The probability distribution of Y is:

Y                        -5                        30

P(Y=y)                [tex]\dfrac{33}{38}[/tex]                        [tex]\dfrac{5}{38}[/tex]

a)  The expected value of X is given by:

[tex]E[Y] =\sum y P(Y=y)= 30*\dfrac{5}{38}-5*\dfrac{33}{38}[/tex]

[tex]=-0.39[/tex]

[tex]= -39 \ cents[/tex]

b)

On a bet of $5 on the number 25 we are expected to loose 24 cents.

While on a $5 bet that the outcome is any one of the numbers 0,00, or 1 we are expected to loose 39 cents.

Hence,  $5 bet on the number 27 is better. Because the expected loss is less in this bet

Answer:

  A' is at (-4, 1)

Step-by-step explanation:

Reflection over both axes is equivalent to rotation by 180°. Then rotation by 180° returns the point to its original location. The original location of point A is (-4, 1), so the location of its image is A'(-4, 1).

Answer:n=-9/2m

Step-by-step explanation:

Step 1: Add 3n to both sides.

-2m-5n+3n=7m-3n+3n

-2m-2n=7m

Step 2: Add 2m to both sides.

-2m-2n+2m=7m+2m

-2n=9m

Step 3: Divide both sides by -2.

-2m/-2=9m/-2

n=-9/2

Hope I helped

Answer:

n= -9m/2

Step-by-step explanation:

-2m-7m-5n=7m-7m-3n

-9m-5n+5n= -3n+5n

-9m=2n

n= -9m/2

Answer:

X is 108, infinite

Step-by-step explanation:

Answer:

  2.2×10⁹

Step-by-step explanation:

The distributive property is useful here. Recognize that 10⁹ is a common factor:

  (5.4×10⁹) - (3.2×10⁹) = (5.4 -3.2)×10⁹ = 2.2×10⁹

Answer: 2.2×10⁹

Step-by-step explanation:

Hello!

[tex]\boxed{ \bf The~radius~of~the~sphere~is~6~mm.}[/tex]

We know that:

V = [tex]\frac{4}{3}[/tex]πr³

904.32 = [tex]\frac{4}{3}[/tex]πr³

To figure out the radius, we have to undo the above. We can undo the fraction by multiplying by it's reciprocal:

[tex]\frac{3}{4}[/tex] × [tex]\frac{904.32}{1}[/tex] = [tex]\frac{4}{3}[/tex]πr³ × [tex]\frac{3}{4}[/tex]

678.24 =  πr³

Next, we're going to divide both sides by pi:

[tex]\frac{678.24}{\pi } = \frac{\pi r^{2} }{\pi }[/tex]

215.90 = r³

To undo the, we must find the cube root of 215.90.

r = 6

Answer:

[tex]radius = 6mm[/tex]

Step-by-step explanation:

Volume of a sphere.

Use this formula

[tex]v = \frac{4}{3} \pi {r}^{3} [/tex]

Now solve for r

[tex]r = (3 \frac{v}{4\pi} ) ^{ \frac{1}{3} } \\ = (3 \times \frac{904.32}{4 \times \pi} ) ^{ \frac{1}{3} } \\ ≈

5.99899mm

[/tex]