A gelatin mold is in the shape of a hemisphere (half-sphere). If its diameter is 4 inches, find the exact volume of gelatin that 10 molds will hold.

Answer:

Hope the picture will help you!!

Answer:

Step-by-step explanation:

Hello:

an equation   for the line is : y =mx +b    (m: is a slope )

given : m = -1

the equation is : y = -x+b

through the point (-2,-3) :-3 =-(-2)+b....... b=-5

the equation is : y = -x-5

Answer:

1/6

Step-by-step explanation:

Check the attachment.

Answer:

7, -9

Reasoning:

When x is 7 or -9, the denominator equates to zero, making the expression undefined because nothing can be divided by zero.

Answer:

Step-by-step explanation:

vector e is (-1,5),f is (3,-4),g is (2,1)

2i+j=x(-i+5j)+y(3i-4j)

2=-x+3y (multiply by 5)

10=-5x+15y

1=5x-4y

add

11=11y

y=1

2=-x+3(1)

x=3-2=1

2i+j=1(-i+5j)+1(3i-4j)

Answer:

Step-by-step explanation:

The diagonal of a rectangular garden forms a hypotenuse with the width and length sides.  We can use the Pythogorean Theorem to calculate the remaining side.

Let W, L, and H stand for the Width, Length, and Hypotenuse, all in meters.

W^2 + L^2 = H^2

Enter the data:

(63/4)^2 + L^2 = (111/4)^2

248.06 + L^2 = 770.06

L^2 = 522

L = 22.847 meters

Perimeter is 2W + 2L

Perimeter = 2(63/4) + 2(22.847)

Perimeter = 77.19 meters

Answer:

x = 2

x = - 2

Step-by-step explanation:

⇒ 1: Common Factor

⇒ 2: Use the sum-product pattern

⇒ 3: Common factor from the two pairs

I dont feel like adding more details.

- rewrite in factored form

16(x(x+2)-2(x+2))=0

16(x-2)(x+2)=0

- create seperate equations

16(x-2)(x+2)=0

x-2=0

x+2=0

- solve

*rearrange and isolate the variable to find each solution

x = -2

x = 2

Answer:

B.x=2

Step-by-step explanation:

[tex]16x ^{2} - 64 = 0[/tex]

[tex]16x ^{2} = 64[/tex]

[tex]4 ^{2} {x}^{2} = {4}^{3} [/tex]

[tex] {x}^{2} = \frac{4 ^{3} }{4 ^{2} } [/tex]

[tex]x^{2} = 4[/tex]

[tex] \sqrt{x ^{2} } = \sqrt{4} [/tex]

[tex]x = 2[/tex]

Answer:

[tex]\bf C)\: -\cfrac{1}{32}[/tex]

Step-by-step explanation:

[tex]\tt \cfrac{1}{2^{-2}x^{-3}y^5}[/tex]

[tex]\tt x=2\\y=-4[/tex]

~

Substitute ''x'' with '2' & 'y' with "-4":-

[tex]\tt \cfrac{1}{2^{-2}\times \:2^{-3}\left(-4\right)^5}[/tex]

First let's solve [tex]\tt 2^{-2}\times \:\:2^{-3}\left(-4\right)^5[/tex]

[tex]\tt 2^{-2}\times \:2^{-3}=\boxed{\cfrac{1}{32} }[/tex]

[tex]\tt \cfrac{1}{32}\left(-4\right)^5[/tex]

Calculate exponents:- -4^5= -1024

[tex]\tt \cfrac{1}{32}\left(-1024\right)[/tex]

Remove parentheses, apply rule:- [tex]\tt a\left(-b\right)=-ab[/tex]

[tex]\tt-\frac{1}{32}\times \:1024[/tex]

[tex]\tt \cfrac{1}{32}\times \cfrac{1024}{1}[/tex]

Apply fraction rule:-

[tex]\tt -\cfrac{1\times \:1024}{32\times \:1}[/tex]

[tex]\tt \cfrac{1024}{32}[/tex]

Divide numbers:-

[tex]\tt -32[/tex]

Now that we're done factoring the denominator let's bring down the numerator which is ' 1 ':-

[tex]\tt -\cfrac{1}{32}\;\; \bf Answer[/tex]

☆-------☆-------☆-------☆

[tex]\dfrac 1{2^{-2}\cdot x^{-3}\cdot y^5}\\\\=\dfrac 1{2^{-2} \cdot2^{-3} \cdot (-4)^5}\\\\=-\dfrac 1{2^{-2} \cdot 2^{-3} \cdot (2^2)^5}\\\\=-\dfrac{1}{2^{-2} \cdot 2^{-3} \cdot 2^{10}}\\\\=-\dfrac{1}{2^{-2-3+10}}\\\\=-\dfrac 1{2^{5}}\\\\=-\dfrac 1{32}[/tex]

=====================================================

Explanation:

The first two rows are already done. They have X's for every month to indicate a monthly payment regularly throughout the year without any extra conditions/requirements.

The third row will have exactly 4 copies of X in it. Two of them are already placed for January and April. The other two payments are in July and October. Notice the months are spaced 3 apart and how 12/4 = 3.

The fourth row will have X's across every cell in the same way the first row does since the internet bill is monthly. The same applies to the cell phone bill and food rows.

Something like the car loan will only have 2 copies of X in that row. Semiannual means twice a year, aka every 6 months. One copy of X is already placed for us in this row. This is in January (month 1). Six months later in month 1+6 = 7 (July) is when the next car loan payment occurs.

Lawn care will have X's only for the months of April through September; any other month won't have an X.

Day care will have X's for February, April, June, August, October, December. We start with February and alternate each month to fill out the rest of the year. This is due to the phrasing "every other month".

The gym membership will have one X for July only, since it's an annual payment.

Answer:

The opposite sides in a rectangle are equal.

Step-by-step explanation:

If all sides were equal, you would have a square.

If the opposite sides were not parallel, you would not have 4 sides that meet at 90 degrees.

All angles in a rectangle are 90 degrees.

Answer:

The opposite sides in a rectangle are equal.

Step-by-step explanation:

hope this helps  hope you get it correct

Answer:

-331/140

Step-by-step explanation:

Answer:

The answer is C

Step-by-step explanation:

The formula of a circle is pie radius ^2. Its asking for the surface area. So I got C because you do pie 18^2 and gets you approximately 1017. Although A also says 18 as the radius, it says meters. After you solve a surface area problem you do square meters or square units. For volume you have to use   units cubed or units ^3. Make sure to always do this or your teacher might count you as wrong.

Answer:

Let's first try to find the radius before finding the diameter because when you find the radius, you double it to get the diameter.

To find the radius, use the area for a circle formula and plug in the values you know so far, so the formula is;

A = π[tex]r^{2}[/tex]

What we know:

Plug that area in our equation:-

A = π[tex]r^{2}[/tex]

1,017 = 3.14[tex]r^{2}[/tex]

Solve for r;

÷3.14  ÷3.14

324(approximate) = [tex]r^{2}[/tex]

√324 = r

18 = r, the radius is around 18 square meters (do not mistake the unit for some other unit).

Plug in your options' numbers into the equation;

A = π[tex]r^{2}[/tex]

And by looking at the options, we can see the only number here being used is 18, so we use 18 in the formula for the area of a circle to check if it'll result in 1,017 as the area.

Also: Notice if it says diameter or radius when using this solution, you are looking for the radius first.

un punto en un gráfico de líneas es un valor específico que normalmente es un valor de entrada y salida (x)

Answer:

Step-by-step explanation:

Answer:

The answer is D

Step-by-step explanation:

(7/x² × x²)+(1/3×x²)+(x+2/x × x²)

(7 + x/3 + x²+2x) times 3 to eliminate the 3 under x/3

so u will get 21+x+3x²+6x

Final answer = 3x²+7x+21

Answer: B and C

Step-by-step explanation:

404 + 50 + 50 = 504

you are buying  144 magazines total

504/144 = cost of one magazine

cost of one = 3.50

you are paying $60 a year for 12 years

60 x 12 = 720

720/144 = 5

5 - 3.50 = 1.50

2.

120x + 180x = 1080

300x = 1080

x = 1080/300

x = 3.6

3.6 x 60 = 216

Answer:

B. Pentagon

Step-by-step explanation:

A Pentagon is a polygon with 5 sides like this one.

Hope that helps!

Answer:

500 grams

Step-by-step explanation:

we can conclude that the mass of each box is 0.5 kg by dividing 4 by 8

0.5 kg is 500 grams

Answer:

above 84°/. of the vehicles have a gas mileage greater then 24 mpg

Answer:

Blank 1. is 2 feet

Blank 2. is 28 grams

Blank 3. is 8 mililiters

Step-by-step explanation:

Answer: 1) Real, human and financial capital must be rented from owners, 2) Risk and expected reward go hand in hand, 3) While accounting is the language of business, cash is the currency, 4) New venture financing involves search, negotiation and privacy, 5) A venture’s financial objective is to increase value, 6) It is dangerous to assume that people act against their own self-interests, 7) Venture character and reputation can be assets or liabilities. 

Answer:

B 1/5

Step-by-step explanation:

there is 20 combinations

4 of the twenty are ribs or chicken with a red sauce

4/20 = 1/5

Answer:

8/3

Step-by-step explanation:

Answer:

TRUE

Step-by-step explanation:

Do the pencil test . It doesnt have repeating X's.

Answer:

It is actually True so when you do it press true

Answer:

y = -1.4x + 16

Step-by-step explanation:

the slope is -1.4x

Use the slope formula:-

[tex]\displaystyle\frac{y2-y1}{x2-x1}[/tex]

Plug in the values:-

[tex]\displaystyle\frac{9-2}{5-10}[/tex]

Simplify:-

[tex]\displaystyle\frac{7}{-5}= -\frac{7}{5}[/tex]

 [tex].~~~~~~~\uparrow\sf{Slope}[/tex]

Hope everything is clear; if you need any clarification/explanation, kindly let me know, and I'll comment and/or edit my answer :)

Answer:

15/2 min/m

Step-by-step explanation:

Minuters per meter = min/m

4.5 min/(3/5) m

4.5 x 5/3 = 7.5

7.5 = 15/2

Hope this helps!

I bet the sum you're referring to is supposed to be

[tex]\displaystyle \sum_{r=0}^{20} r^2 \times {}^{20}C_r[/tex]

or equivalently,

[tex]\displaystyle \sum_{r=0}^{20} r^2 \binom{20}r[/tex]

where [tex]\binom nk = \frac{n!}{k!(n-k)!}[/tex] is the binomial coefficient.

Recall the binomial series,

[tex](1+x)^\alpha = \displaystyle \sum_{r=0}^\infty \binom\alpha r x^r[/tex]

which is valid for |x| < 1. (Note that if r > α, the binomial coefficient is defined to be zero, so there really are only α many terms when α is a whole number.)

Differentiating both sides with respect to x gives

[tex]\alpha (1+x)^{\alpha-1} = \displaystyle \sum_{r=0}^\infty r \binom\alpha r x^{r-1}[/tex]

Multiply both sides by some arbitrary x in |x| < 1 :

[tex]\alpha x (1+x)^{\alpha-1} = \displaystyle \sum_{r=0}^\infty r \binom\alpha r x^r[/tex]

Repeat:

[tex]\alpha (1+x)^{\alpha-1} + \alpha(\alpha-1) x(1+x)^{\alpha-2} = \displaystyle \sum_{r=0}^\infty r^2 \binom\alpha r x^{r-1}[/tex]

[tex]\alpha x (1+x)^{\alpha-1} + \alpha(\alpha-1) x^2 (1+x)^{\alpha-2} = \displaystyle \sum_{r=0}^\infty r^2 \binom\alpha r x^r[/tex]

Let α = 20, and let x approach 1 from below. The right side converges to the sum we want, while the left side converges to

[tex]20 \times 2^{19} + 20\times19\times 2^{18} = (20 + 10\times19)\times2^{19} = \boxed{210\times2^{19}}[/tex]

Answer: C) 1/16

Hope this helps :)