2. A hemispherical water tank with a volume of 2094 m will have a radius of which
length?
?
a. 5 m
b. 25 m
c. 2.5 m
d. 10 m

Answer:

All numbers divisible by 9 are also divisible by 3.

Step-by-step explanation:

Nine is basically just 3 3's.

Answer:

h(x)= sqrt 2-x

Step-by-step explanation:

pretty sure this is right

Answer:

[tex]x=\frac{15}{2}[/tex] [tex]z=\frac{35113}{2703}[/tex] [tex]a=\frac{15}{4}[/tex] [tex]y=\frac{35113}{5406}[/tex] [tex]b=\frac{45}{4}[/tex]

Step-by-step explanation:

To solve this, we will have to use multiple methods, including the pythagorean theorem and the 30 60 90 rule.

In the 30 60 90 rule, it is stated that the angle opposing the side with 30 degrees is represented by [tex]s[/tex], the angle opposing the side with 60 is [tex]s\sqrt{3}[/tex] and the angle opposing 90 degree angle is represented by [tex]2s[/tex]. Looking at the whole triangle, we can see the 30, 60 and 90 degrees, and the angle with 90 has an opposing side of 15, which means we have to use 15=2s to find the other sides. When dividing 15 by 2, you get 7.5, which is s. Now we know that the angle opposing 30 is 15/2, which is x. Now that we have "s", we can also solve for z, represented by the 60 degrees. Multiply 7.5 and [tex]\sqrt{3}[/tex] to get z=35113/2703.

Now we can solve for the smaller triangles. Since we have already found x, we can use the 30 60 90 method in this too. The x (15/2) is now represented by 2s. Therefore, solve for your new s by doing this: 15/2 = 2s. You should get your 30 degree angle answer (a) with this, which is 15/4. Now that we have to use pythagorean theorem, which is [tex]a^{2} + b^{2} = c^{2}[/tex] to solve for the remaining side (y) of the small triangle. You should get 35113/5406.

Finally we have the last side left: b. Since we have so many sides now, all we have to use is the pythagorean theorem again. Use [tex]b^2+y^2=z^2[/tex] and solve for b. You should get 45/4.

Answer:

A.

Step-by-step explanation:

A quadratic function may only intercept the y-axis once. This is because the definition of a y-intercept tells us that it is the point where x = 0. If there are multiple points where x = 0, then the expression cannot be a function. As such, a quadratic function can only have one.

Choice B contradicts the previous statement.

Choice C is wrong because the x-intercept is the zero of the function. This is because at a given x-coordinate that touches the x-axis, the y-coordinate will be 'zero'.

Choice D is wrong because the y-intercept is where x = 0.

I hope this helps!

Answer:

(16y-3) (4y+1)

Step-by-step explanation:

using quadratic formula i.e.ay^2+by+c=0

64y^2+4y-3

64y^2+16y-12y-3

16y(4y+1)-3(4y+1)

(16y-3) (4y+1)

hope it help yuh...mark brianliest if my answer suit your question.

Answer:

x = 109°

Step-by-step explanation:

Utilise the fact that angles in a triangle add up to 180 so,

→ Form an equation

x + 23 + 48 = 180

→ Simplify

x + 71 = 180

→ Minus 72 from both sides to isolate x

x = 109°

Answer:

109°

Step-by-step explanation:

x+48+23=180

x=180-71

Answer:

10

Step-by-step explanation:

For the first one you just need to pour 1 gallon of water from the 5 gallon jug in the 3 gallon jug... If I understood well the question...

I think I probably didn't understand the question but...

Answer:

3(x + 2)

Step-by-step explanation:

i think of a number: x

add two: x + 2

then multiply by three: 3(x + 2)

Answer:

(x+2)3

Step-by-step explanation:

x is the number we thought of

so add the 2+the number we thought of which is;

x+2, then multiply by 3;

=(x+2)3

Answer:

a)

side a is opposite, side b is adjacent, side c is hypotenuse

b)

side a is adjacent, side b is opposite, side c is hypotenuse

Step-by-step explanation:

Answer:

Hhhhhhh

Step-by-step explanation:

Huhhhhhgg

Answer: 1/5 or 0.2

Step-by-step explanation:

10/50=15/75=23/115=28/140=32/160=1/5=0.2

Answer:

 (x+10)(x+1)( x-3) ( x-3)

Step-by-step explanation:

root of 3 with multiplicity 2

( x-3) ^2 or ( x-3) ( x-3)

root of -10

(x- -10)  is (x+10)

root of -1

(x - -1) is (x+1)

( x-3) ^2 (x+10)(x+1)

Answer:

C) f(x) = (x + 10)(x + 1)(x – 3)(x – 3)

Step-by-step explanation:

Answer:

square

Step-by-step explanation:

Answer: A  tube

Step-by-step explanation:

Answer:

79.38 m^2

Step-by-step explanation:

Answer:

Step-by-step explanation:

TO=√((4²+(8+4)²)=√(16+144)=√160=√(16×10)=4√10

OU=√(2²+(4+2)²)=√(4+36)=√40=√(4×10)=2√10

area of triangle TOUR=lw=4√10×2√10=8×10=80 units²

Answer:

7x+14-2x-8 simplify and get 5x+6

Step-by-step explanation:

Distributive Property

-2(x+4)

-2x-8

Add together and combine like terms.

7x+14-2x-8

5x+6

Step-by-step explanation:

7x + 14 - 2 ( x+ 4)

7x + 14 - 2x + 8

7x - 2x + 14+8

5x+22 answer

Answer:

it would b 2 in half cups of powder

Answer:

15 1/8 cups of oatmeal will be used

Step-by-step explanation:

Firstly, we shall be calculating the total number of dozens of muffin made

That would be the addition of the dozens of muffin made for the family reunion and that made for the club meeting = 3 + 2 1/2 = 5 1/2 or simply 5.5 dozens

Now, from the question initially, 2 3/4 or simply 2.75 cups of oatmeal makes 1 dozen muffins

x cups of oatmeal = 5.5 dozens of muffin

x * 1 = 2.75 * 5.5

x = 15.125 cups of oatmeal or simply 15 1/8 cups of oatmeal

Answer:

Step-by-step explanation:

We can write an equation to represent this problem.

(15 + w)(20 + w) = 1/2 (15)(20)

Foil out the left side of the equation.

300 + 35w + w^2 = 150

Subtract 150 from both sides.

w^2 + 35w + 150    (I rearranged it to be in the form that is most efficient)

Now solve for variable w using the quadratic equation (look up the formula if necessary)

[-35 +_ (square root of the value of 1225-600)] / 2

[-35 +_ (SqRt of 625)] /2

(-35 +_ 25) /2

=  -30, -5

I just realized that it can't increase by a negative number, so I'm not really sure of the answer. Sorry, my bad. However, I feel that this may be of help to other people anyway, so I think I'll leave it up here. Apologies again.

Feel free to read through my reasoning behind my answer, and see if it gives you any ideas or inspiration for solving this problem.

Answer:

- 39

Step-by-step explanation:

x³ - 3y

Put x as -3 and y as 4.

-3³ - 3(4)

Solve for power and multiply.

-27 + - 12

Add the terms.

- 39

Answer:

-39

Step-by-step explanation:

x^3 - 3y

Let x = -3 and y = 4

(-3) ^3 - 3(4)

-27 -12

-39

Answer: 44 inches

Step-by-step explanation:

Answer to your query is provided below in the image

In this exercise we have to have knowledge about divisibility  in this way we find that:

[tex]3025 \ is \ 5^2(11)^2[/tex]

Knowing that divisibility is the ability of a number to decrease its value, we calculate that:

[tex]3025/5=605\\605/5=121\\121/11=11\\11/11=1\\=5^2(11^2)[/tex]

See more about prime factorizarion at brainly.com/question/369266

Answer:

5

Step-by-step explanation:

[tex]\dfrac{x}{x-2}=\dfrac{2x+5}{2x-1}\\\\x(2x-1)=(x-2)(2x+5)\\\\2x^2-x=2x^2+x-10\\\\2x=10\\\\x=5[/tex]

Hope this helps!

Answer:

picture

Step-by-step explanation:

Answer:

Step-by-step explanation:

You have to know some basics of parabolas to get this far in your math class, so hopefully you do, and what I'm about to do and say is not new or surprising to you.

If you plot the center (0, 0) which is your h and k, and then plot the focus, you should know that, since the parabola wraps itself around the focus, this parabola opens to the left. There is a work form and a standard form for a left-opening parabola. The work form will be

[tex]x=-a(y-k)^2+h[/tex] and the standard form will be

[tex]-(y-k)^2=4p(x-h)[/tex]

We will figure out what we need and will fill in both of these forms.

In general, the value of p is a distance; namely, it is the distance from the center to either the focus or the directrix (which is the same for both since the focus and the directrix are the same distance from the center, one on either side of it). From this we can determine that, since the focus is one unit away from the center, p = 1. Now that we know p we can find |a|:

[tex]|a|=\frac{1}{4p}[/tex]

Since p = 1, then [tex]|a|=\frac{1}{4}[/tex]

Now we can write the work form:

[tex]x=-\frac{1}{4}(y-0)^2+0[/tex] which of course simplifies to

[tex]x=-\frac{1}{4}y^2[/tex]

And remember we have the p value for the standard form:

[tex]-(y-0)^2=4(1)(x-0)[/tex] which simplifies a bit to

[tex]-y^2=4x[/tex] and when we solve for x:

[tex]x=-\frac{1}{4}y^2[/tex] which is the exact same as the work form!!! Look at that! : )

Answer:

Adding the x² terms gives us 9x² + 3x² = 12x², combing the x terms gives us 3x - 5x = -2x and -2 - 3 = -5 so the answer is 12x² - 2x - 5.

Answer:

12x²- 2x -5

Step-by-step explanation:

actually this is the sum

(9x² + 3x – 2) + (3x² – 5x – 3)=

9x² + 3x – 2 + 3x² – 5x – 3=

(9+3)x² + (3-5)x- 5 = 12x²- 2x -5

Answer:

She made 12 mugs.

Step-by-step explanation:

Answer: I am very sorry, but I don't know the answer either