Which could be the area of a face of the rectangular prism?

A rectangular prism with a length of 3 meters, width of 4 meters, and height of 2 meters.

5 m2
6 m2
7 m2
9 m2

Answer:

ln(216[tex]x^{4}[/tex] )

Step-by-step explanation:

Using the rules of logarithms

log x + log y = log(xy)

log [tex]x^{n}[/tex] ⇔ n log x

Given

3ln6 + 4lnx

= ln 6³ + ln[tex]x^{4}[/tex]

= ln (216[tex]x^{4}[/tex] )

Answer:

B

Step-by-step explanation:

Given W varies inversely as t² then the equation relating them is

W = [tex]\frac{k}{t^2}[/tex] ← k is the constant of variation

To find k use the condition W = 12 when t = 2, thus

12 = [tex]\frac{k}{2^2}[/tex] = [tex]\frac{k}{4}[/tex] ( multiply both sides by 4 )

k = 48

W = [tex]\frac{48}{t^2}[/tex] ← equation of variation

When W = 27, then

27 = [tex]\frac{48}{t^2}[/tex] ( multiply both sides by t² )

27t² = 48 → B

B)  27 t² = 48 will be the algebraic equation for t if W = 27.

In arithmetic, proportional or proportional meaning denotes equivalence between two ratios. In the equation a/b = c/d, a and b have the same percentage as c and d. A percentage is primarily established for solving a word problem using one of its four unknown quantities.

Given W varies inversely proportional to t² then the algebraic equation relating them is

W =  k / t² is the constant of variation

for k we can use the condition W = 12 when t = 2,Hence,

12 =  k / 2²

k = 48

When W = 27, then

27 = 48 / t²  ( multiply by t² )

Therefore, t in the form of algebraic equation is 27 t² = 48 Hence, option B is correct.

Learn more about proportionality here:

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Answer:

(-1,2)

Step-by-step explanation:

Found answer on brainly.

Answer:

(-1,2)

Step-by-step explanation:

In this problem, the signs are switched because there is a rule to 180 rotation that is (x,y) to (-x,-y).

(1,-2)×(-1x, -1y)= (-1,2) .

if both points were negative, the points would be positive. if they were positive, they would be negative.

Answer:

Yes! There's the Side-Angle -Side postulate, or SAS. This states that if two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, then the triangles are congruent.

Step-by-step explanation:

The postulate used to prove the congruence of the triangles is ASA.

Option B is the correct answer.

It is a two-dimensional figure which has three sides and the sum of the three angles is equal to 180 degrees.

We have,

Two right triangles.

∠90° = ∠90°

side = side (given)

Angle = Angle (given)

By ASA (angle side angle)

The triangles are congruent.

Thus,

The postulate is ASA.

Learn more about triangles here:

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Answer:

2/5

Step-by-step explanation:

4/5*1/2=4/10=2/5

Answer:

0.4 or [tex]\frac{2}{5}[/tex]

Step-by-step explanation:

First convert 4/5 into a decimal of 0.8

Then divide 0.8 by 2 which gives you 0.4 or [tex]\frac{2}{5}[/tex]

Answer:

2,3,4,6, and 8

Step-by-step explanation:

2 is divisible by 24 because it is a multiple of 24

3 is divisible by 24 because it is a multiple of 24

4 is divisible by 24 because it is a multiple of 24

6 is divisible by 24 because it is a multiple of 24

8 is divisible by 24 because it is a multiple of 24

i am not sure about the explain.

i suck at explaining things

Test each of the following to see if it is divisible by 2,3,4,5,6,8,9,10, or 25 and say why.

Answers:

Divisible by 2: yes, because it is an even number. The even numbers are those which end in 0, 2, 4, 6, or 8. Result: 24/2 = 12

Divisible by 3: yes, because the sum of its digits is a multiple of 3: 2 + 4 = 6 is a multiple of 3. Result: 24/3 = 8

Divisible by 4: yes, result: 24/4 = 6

Divisible by 5: no, because a number is divisible by 5 if it ends in 0 or 5.

Divisible by 6: yes, because it is divisible by 2 and by 3, then it is divisible by 6. Result: 24/6 = 4.

Divisible by 8: yes, result: 24/8 = 3

Divisible by 9: no, because the sum of its digits is not a multiple of 9.

Divisible by 10: no, because a number is divisible by 10 if it ends in 0.

Divisible by 25: no, because 25 is a number greater than 24.

Answer:

i think it is D i am sorry if it is wrong

Step-by-step explanation:

Answer:

2/36

Step-by-step explanation:

There are 36 possibilities when rolling a die

There are 2 that sum to 11

P (sum of 11) =  sum of 11/ total

                      =2/36

                        1/18

Answer:

the answer is O 2x (x2-1)(2x+ 3)

Answer:

The correct answer is 2x^2(x^2 + 1)(2x - 3)

Step-by-step explanation:

First, you would factor out a single factor out of all of them, which is 2x^2. So, you would have 2x^2 (2x^3 - 3x^2 + 2x - 3) Then, you would use double grouping. When you have double grouped, you will have x^2(2x-3) and 1(2x-3) for the factors. The final factors for that is (x^2 + 1) and (2x - 3), then you would just put 2x^2 in the front to give you the final factorization and the correct answer stated at the top.

Answer:

x = 70°

Step-by-step explanation:

Sum of external angles of polygon = 360

x + 150 + 140 = 360

x + 290 = 360

x = 360 - 290

x = 70°

Answer:

The answer is A. 6 square inches

Step-by-step explanation:

The area of a triangle is half the product of the height and base

Answer:

A

Step-by-step explanation:

Divide both sides of the equation by c²

Answer:

D. 20,250 square yards

Step-by-step explanation:

Base + 4 triangles

(75×75) + 4(½×75×97.5)

5626 + 14625

20250 yd²

Answer:

I think its 2

Step-by-step explanation:

I counted by ones and then i found that the pint is between 4 and 2 so when i divided 4 by 2 and i got 2

Answer:

no solutions

Step-by-step explanation:

8 + 10 - 6k = 6(4 - k)

Distribute

8 + 10 - 6k = 24 -6k

Combine like terms

18 -6k = 24 -6k

Add 6k  to each side

18 - 6k +6k = 24 - 6k+6k

18 = 24

This is never true so there are no solutions

Hey there! I'm happy to help you out!

To solve for k, we have to isolate it on one side of the equation and put all the constants on the other side.

The first thing we need to do is get the k on the right side out of parentheses. To do this, we will use the distributive property!

8+10-6k=24-6k

Now, we will combine like terms.

18-6k=24-6k

We want to get all the ks on the left side and all the constants on the right. Let's add six k to both sides to cancel out the -6k on the right.

18=24

As you can see, our variables canceled out. This is because our equation was saying 18 minus six of something was equal to 24 minus six of something, which makes no sense because that doesn't work!

We are left with 18=24, which isn't even a true equation! Therefore, there is no solution to this equation.

I hope that this helps! Have a wonderful day!

Answer:

Library's Area= 5200

Courthouse' Area= 5027

Larry is correct.

Step-by-step explanation:

Answer:

Number of year to get $10,000 as interest = 7.5 year (Approx)

Step-by-step explanation:

Given:

Initial investment = $20,000

Interest on investment = $10,000

Rate of interest = 5.6% = 0.056

Find:

Number of year to get $10,000 as interest:

Computation:

[tex]Interest\ on\ investment = Initial\ investment[(1+r)^n-1]\\\\10,000 = 20,000[(1+0.056)-1]\\\\0.5=(1.056)^n-1\\\\1.5 =(1.056)^n\\\\n=7.44[/tex]

Number of year to get $10,000 as interest = 7.44

Number of year to get $10,000 as interest = 7.5 year (Approx)

Answer:

48

Step-by-step explanation:

6*8 = 48

I've seen you so "Will mark brainliest," many times today. Do not export people if that is what you're doing.

Answer:

Your answer is 48 sq. ft.

Step-by-step explanation:

Why? Because A= L(W) Therefore, A= 8(6)=48

Answer:

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

[tex]P(X=0)=(2C0)(0.01)^0 (1-0.01)^{2-0}=0.9801[/tex]

And replacing we got:

[tex] P(X \geq 1) = 1-0.9801 = 0.0199[/tex]

Step-by-step explanation:

Let X the random variable of interest "number of craked eggs", on this case we now that:

[tex]X \sim Binom(n=2, p=0.01)[/tex]

The probability mass function for the Binomial distribution is given as:

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

Where (nCx) means combinatory and it's given by this formula:

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

And we want to find this probability:

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

And we can find the probability:

[tex]P(X=0)=(2C0)(0.01)^0 (1-0.01)^{2-0}=0.9801[/tex]

And replacing we got:

[tex] P(X \geq 1) = 1-0.9801 = 0.0199[/tex]

Answer:

The area of sector is [tex]25.12 miles^2[/tex]

Step-by-step explanation:

Radius of circle = 4 miles

We are supposed to find the area of a sector bounded by a 180 arc

[tex]\theta = 180^{\circ}[/tex]

Area of sector =[tex]\frac{\theta}{360^{\circ}} \pi r^2[/tex]

Area of sector = [tex]\frac{180^{\circ}}{360^{\circ}} \times \frac{22}{7} \times 4^2[/tex]

Area of sector = [tex]25.12 miles^2[/tex]

Hence The area of sector is [tex]25.12 miles^2[/tex]

Answer:

The shapes are the same, just one is sideways. They also have very similar measurements.

Step-by-step explanation:

Even so, when we check this we get:

(1 1/2 x 1 3/4) 7 = (3 x 1 3/4) 3 1/2

when simplified (solved) this is: 18 3/8 = 18 3/8

Answer:

6\25

Step-by-step explanation:

Answer:

14 meters

Step-by-step explanation:

A square must have all equal sides, meaning the square root of 196 would be the length and width of the square, the square root of 196 is 14.

Answer:

You will break even with the cost of your supplies equals your income how many cups of your hot chocolate and less you sell to break even

Step-by-step explanation:

Answer: 90% of the time.

Step-by-step explanation: This is because you can add the two different times and the standard time of 75 seconds, divide it all by 3 leaving you with 75.2 and that is 0.2 away from the original between those times all together. Take that 0.2 and subtract it from the 1.1 deviation and you’ll get 0.9 times that by 100 and you get it in a percentage; 90%.

Answer:

=82%

Step-by-step explanation:

64:78*100=82%

Answer:

3x^2 +8x -10=-8

Step-by-step explanation:

A quadratic equation is

ax^2 + bx +c=0

has a formula

-b ± sqrt( b^2 -4ac)

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

  2a

We know a = 3   b = 8 and c = -2

3x^2 +8x -2=0

Subtract 8 from each side

3x^2 +8x -2 -8=0-8

3x^2 +8x -10=-8

That is choice C

Answer:

C.

Step-by-step explanation:

Consider equation C:

3x^2 + 8x - 10 = -8

3x^2 + 8x - 2 = 0

Here a = 3, b = 8 and c = -2

Applying the quadratic formula:

x  = [-b +/-  √(b^2 - 4ac)] / 2a

x = [-8 +/- √(4(3)(-2)] / 2(3)

- which is the one in the question.

So it is equation C.

Answer:

70 and 21

Step-by-step explanation:

6parts of the ratio represents 84 students

Divide 84 by 6 to find the value of one part of the ratio

84 ÷ 6 = 14 ← value of 1 part of the ratio, thus

5 parts = 5 × 14 = 70 ← number of Michigan students

Indiana students = 175 - (84 + 70 ) = 175 - 154 = 21

Answer:

[tex]\angle L=\angle S[/tex] using congruence rule

Step-by-step explanation:

Given: ΔSAL, SA = LA and AT is the bisector of [tex]\angle A[/tex]

To prove: [tex]\angle L=\angle S[/tex]

Proof:

Two triangles are congruent if they have same shape and same size.

Consider triangles ALT and AST

AL = AS

As AT bisects [tex]\angle A[/tex], [tex]\angle LAT=\angle SAT\\[/tex]

AT = AT (common side)

So, [tex]\Delta ALT\cong \Delta AST[/tex] ( by SAS congruence rule )

Here, SAS denotes side-angle-side

[tex]\angle L=\angle S[/tex] (using corresponding parts of congruent triangles)

Hence proved

Explanation:

First, we know that △ALT ≅ △AST, because of Side Angle Side Theorem. Next, we know that AL ≅ AS, because it's given.

Since A = A, we can remove A and it gives us m∠L = m∠S.

If you need to show work in math terms, your answer should look something like this:

1. △ ALT ≅ △AST - SAS

2. AL ≅ AS - Given

3. m∠ L ≅ m∠S

Hope this helped!

Answer:

50%

Step-by-step explanation:

The mean ideally should be in the exact middle