Stella works for a company that makes aluminum cans. A large soup can have a radius of 8 centimeters and a height of 20 centimeters. How much aluminum is used to make the can?

Answer:

x=7, y=-1. (7, -1).

Step-by-step explanation:

2x+4y=10

-2x+y=-15

-----------------

5y=-5

y=-5/5

y=-1

2x+4(-1)=10

2x-4=10

2x=10+4

2x=14

x=14/2

x=7

Answer:

i really dont know sorry lil buddy

Step-by-step explanation

sub y = x - 1 into equation 1

2x + x - 1 = 5

3x = 6

x = 2

sub x = 2 into equation 2

y = 2 - 1

y = 1

Answer:

90 miles

Step-by-step explanation:

120/4 = 30

30 m/hour

3 hours = 30x3 = 90 miles

Answer:

C

Step-by-step explanation:

We want to evaluate the definite integral:

[tex]\displaystyle \int_0^1 (x+2)(3x^2+12x+1)^{1/2}\, dx[/tex]

Again, notice that the radicand is quite similar to the outside factor. So, we can use u-substitution again. We will let:

[tex]\displaystyle u=3x^2+12x+1[/tex]

Then:

[tex]\displaystyle \frac{du}{dx}=6x+12[/tex]

Hence:

[tex]\displaystyle du=6x+12 \, dx[/tex]

And we can divide both sides by 6:

[tex]\displaystyle \frac{1}{6}\, du=x+2\, dx[/tex]

Note that the limits of integration of our original integral (from x = 0 to x = 1) is in the domain of x. Since we changed variables, we should also change the limits of integration to u. So:

[tex]u(0)=3(0)^2+12(0)+1=1[/tex]

And:

[tex]u(1)=3(1)^2+12(1)+1=16[/tex]

Hence, our new limits of integration is from u = 1 to u = 16.

Perform the substitution:

[tex]\displaystyle =\int_{1}^{16} u^{1/2}\Big(\frac{1}{6}\, du\Big)[/tex]

Simplify:

[tex]\displaystyle =\frac{1}{6}\int_1^{16}u^{1/2}\, du[/tex]

Integrate:

[tex]\displaystyle =\frac{1}{6}\Big(\frac{2}{3}u^{3/2}\Big)\Big|_{1}^{16}[/tex]

Simplify:

[tex]=\displaystyle \frac{1}{9}\Big(u^{3/2}\Big|_1^{16}\Big)[/tex]

Evaluate:

[tex]\displaystyle =\frac{1}{9}\Big(16^{3/2}-1^{3/2}\Big)=\frac{1}{9}(64-1)=7[/tex]

The answer is C.

Answer:

0.167

Step-by-step explanation:

2 six sided dice= 12 total favorable outcomes

4&6= the 2 favorable outcomes

probability= fo/tfo

=2/12= 0.166666666 or 0.167

Answer:

a^2 + 4a/b + 4/b^2

Step-by-step explanation:

Which of the following is equivalent to (a + b/2) ^2?

The expression (a + b/2)² is equivalent to (a² + b²/4 + ab).

In mathematics, an algebraic expression is an expression built up from constant algebraic numbers, variables, and the algebraic operations.

Given is the algebraic expression as -

(a + b/2)²

We can write -

(a + b/2)² = a² + (b/2)² + 2 × a × b/2

(a + b/2)² = a² + (b/2)² + ab

(a + b/2)² = a² + b²/4 + ab

Therefore, the expression (a + b/2)² is equivalent to (a² + b²/4 + ab).

To solve more questions on algebraic expression, visit the link below -

https://brainly.com/question/27911936

#SPJ5

Answer:

AMEN

Step-by-step explanation:

.

Answer:

A.336 cubic centimeter

Step-by-step explanation:

6cm×8cm×7cm=336

Step-by-step explanation:

...hope it help u.... ..

Answer:

-4/3

Step-by-step explanation:

You know that parallel lines have the same slope. So, if both lines are parallel, then they must have the same slope.

Answer:

-4/3

Step-by-step explanation:

A line thats parallel with a line with a slope -4/3 will have the same slope because it is parallel so it has the same the degree of tilt/slope

Answer:

5x - ((2x-1)÷2) = 5-----(1)

(1) multiply by 2;

2 *(5x - ((2x-1)÷2) = 5)

10x - (2x-1) = 10

10x - 2x + 1  = 10

8x + 1 =10

8x = 10-1

x=9 /8

Step-by-step explanation:

Answer:

x = 9/8

Step-by-step explanation:

5x - ((2x - 1) ÷ 2) = 5​

2 × (5x - ((2x - 1) ÷ 2) = 5

10x - (2x-1) = 10

10x - 2x + 1  = 10

8x + 1 = 10

8x + 1 - 1 = 10 - 1

8x = 10 - 1

8x = 9

8x ÷ 8 = 9 ÷ 8

x = 9 ÷ 8

x = 9/8 or 1 and 1/8

Answer:

Given that the hall is rectangular in shape, then the shortest path that Amy must travel to reach Alice would be through the hall's diagonal. Applying the Pythagorean theorem, with the length and width as the legs and the diagonal as the hypotenuse of the right triangle. Thus, diagonal = √ ( 100² + 60²) = √13 600 ≈ 116.62 ft The shortest distance, rounded off to the nearest foot, is 117 ft.

Step-by-step explanation:

its already an explanation...

Answer:

0.9862.

Step-by-step explanation:

For each donation, there are only two possible outcomes. Either it can be safely used in a blood transfusion on someone with type A blood, or it cannot. The probability of a donation being safely used is independent of other donations, which means that we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

Type A blood:

Can receive from type O(49%) and from type A(27%), which means that:

[tex]p = 0.49 + 0.27 = 0.76[/tex]

If three donations are made, what is the probability that at least 1 of them can be safely used in a blood transfusion on someone with type A blood?

Three donations mean that [tex]n = 3[/tex]

This probability is:

[tex]P(X \geq 1) = 1 - P(X = 0)[/tex]

In which

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 0) = C_{3,0}.(0.76)^{0}.(0.24)^{3} = 0.0138[/tex]

[tex]P(X \geq 1) = 1 - P(X = 0) = 1 - 0.0138 = 0.9862[/tex]

The answer is 0.9862.

The probability that at least 1 of them can be safely used in a blood is 0.9862.

Since, A person with type A blood can safely receive blood transfusions of type O and type A blood.

Given that,

49% of donations are type O blood

27% of donations are type A blood

So,    [tex]p=0.49+0.27=0.76[/tex]   and   [tex]q=1-0.76=0.24[/tex]

Where p represent probability of success and q represent probability of unsuccessful.

Now use Binomial distribution,

      [tex]P(X=r)=n_{C}_rp^{r} q^{n-r}[/tex]

Here three donations, it means that, n = 3

We have to find that the probability that at least 1 of them can be safely used in a blood.

So,     [tex]P(X\geq 1)=1-P(X=0)[/tex]

        [tex]P(X=0)=3_{C}_0(0.76)^{0} (0.24)^{3}=0.0138[/tex]

           [tex]P(X\geq 1)=1-0.0138=0.9862[/tex]

Thus, The probability that at least 1 of them can be safely used in a blood is 0.9862.

Learn more about Binomial distribution here:

https://brainly.com/question/11388449

Answer:

a

Step-by-step explanation:

a

Explanation is in the file

tinyurl.com/wpazsebu

Answer:

En español:

11/25 = 0.44

0.9702 porque multiplica por 2.205.

In English:

11/25 = 0.44

0.9702 because you multiply by 2.205.

Answer:

The area is 28 square inches.

Step-by-step explanation:

You need to use the Pyhtagorean Theorem for this one, to find the height.

3^2 + h^2 = 5^2

9 + h^2 = 25

h^2 = 25 - 9

h^2 = 16

h = 4

The Pythagorean Theorem is basically A squared + B squared is C squared, With C always being the hypotenuse, or longest side. A and B are the base and height. You can use either A or B for either base or height, but you must use C for the hypotenuse.

Brainliest would be appreciated :)

Answer:

0.026

Step-by-step explanation:

Given the result of 10 coin flips :

T,T,H,T,H,T,T,T,H,T

Number of Heads, H = 3

Number of tails, T = 7

Let :

B = biased coin

B' = non-biased coin

E = event

Probability that it is the biased coin:

P(E Given biased coin) / P(E Given biased coin) * P(E Given non-biased coin) * P(non-biased coin)

P(E|B)P(B) / (P(E|B)*P(B) + P(E|B')P(B')

([(0.75^3) * (0.25^7)] * 0.5) /([(0.75^3) * (0.25^7)] * 0.5) + (0.5^10) * 0.5

0.0000128746 / 0.00050115585

= 0.0263671875

Answer:

Kakegurui- demon slayer-  

Princess Mononoke is a good movie and the last Airbender is pretty good  

UHHHH OH- black butlers okie also a whisker away is cute (MOST ON NETFLIX)

Answer:

I watch Death Note, Black Butler, Demon Slayer, My Hero Academia, Dragonball Z, Naruto, Naruto: Shippuden, Black Clover, Assassination Classroom, OHSHC, School Babysitters (Gakuen Babysitters), High School of the Dead, and more that I forgot the name of!

Step-by-step explanation:

Answer:

[tex](-2,\, 0)[/tex].

Step-by-step explanation:

Dilate a point [tex](x,\, y)[/tex] by a scale factor of [tex]r[/tex] with [tex](a,\, b)[/tex] as the center, and the resultant point would be at [tex](a + r\, (x - a),\, b + r\, (y - a))[/tex].

In this question:

Point to dilate: [tex](x,\, y) = (-8,\, 0)[/tex].

Scale factor: [tex]r = 0.25[/tex].

Center of dilation: [tex](a,\, b) = (0,\, 0)[/tex].

The resultant point would be:

[tex](0 + 0.25\, (-8 - 0),\, 0 + 0.25\, (0 - 0))[/tex], which simplifies to [tex](-2,\, 0)[/tex].

Answer:

16

Step-by-step explanation:

Answer:

16

Step-by-step explanation:

First Step: Solve the exponent 3^2=9

Then, you get 60 divided by 4-9+2(5)

Then, you do Multiplication and Division from left to right, so 60/4=15, 2(5)=10

Then, you get 15-9+10

Then, you do addition and subtraction from left to right.

15-9=6, then 6+10=16

Answer:

number 1

Step-by-step explanation:

Answer: Vertical angle proof

Step-by-step explanation: First off, this is really easy if you know how to do it. I think you should be able to figure it out. If you really are in collage. So Vertical angle proof, QPR is essentially (2x-30) but we need to find x. We know a triangle is 180 degrees and if it's a right angle then two angles add to 90.

So x+(2x+30)=90, 3x+30=90, 90-30=60, 3x=60, x=20. So there you have it. Now put x into the equation, 2(20)+30=70

70

Answer:

Hope it will help. I did it.

Hope the image is clear.

Answer:

2

Step-by-step explanation:

130-139=4

140-149=7

150-159=4

160-169=5