What is the simplified form of the expression?

What Is The Simplified Form Of The Expression?

Answers

Answer 1

Answer:

A

Step-by-step explanation:

a. type in 2⁻³ in the calculator and you get 0.125, which is 1/8.

b. Anything to the power of 0 will equal 1. :)

Answer 2

Answer:

A.

Step-by-step explanation:

a.

when you have a negative exponent, the simplified value becomes a fraction:

2^-3

1/2^3

1/8

b.

any number to the power of 0 is equal to one:

(5.5)^0

1

Hope this helps :)


Related Questions

Solve the equation:3/4 (x + 1) = 1/2(x+2)

X=

Answers

The answer is X = 1

Liz flips a coin 90 times. The coin lands heads up 54 times and tails up 36 times. Complete each statement.
The theoretical probability of the coin landing heads up is

Answers

Answer:

1/2 or 50%

Step-by-step explanation:

Please check if that is correct. But generally there are two sides so half of the times it should be heads.

Hope this helps.

Olivia ordered a shirt online that cost her $38 total.
The package arrived late so the seller took 16% off
the price. How much did she end up paying?

I NEED UT TODAY

Answers

Answer:

$6.08

Step-by-step explanation:

38 x 0.16

equals $6.08

Answer:

$31.92

Step-by-step explanation:

Find 16 percent of 38

38*.16= 6.08

subtract

38-6.08= 31.92

H(t)=t^2+4t+3 what are the zeroes of the function? Write the smaller t first, and then the larger t second

Answers

Answer:

t = - 3, t = - 1

Step-by-step explanation:

Given

h(t) = t² + 4t + 3

To find the zeros equate h(t) to zero, that is

t² + 4t + 3 = 0

Consider the factors of the constant term (+ 3) which sum to give the coefficient of the t- term

The factors are + 3 and + 1, since

3 × 1 = 3 and 3 + 1 = 4, thus

t² + 4t + 3 = (t + 3)(t + 1) = 0

Equate each factor to 0 and solve for t

t + 3 = 0 ⇒ t = - 3

t + 1 = 0 ⇒ t = - 1

smaller zero is t = - 3

larger zero is t = - 1

. (4 + 5) +2 =4+(5+4) true or false

Answers

Answer:

False

Step-by-step explanation:

What is -22.2 x (-6.1)? A. -135.42 B. -28.3 C. 28.3 D. 135.42

Answers

Answer:

D

Step-by-step explanation:

All you have to do is multiply -22.2 by -6.1

Answer: The answer is D

Step-by-step explanation:

Evaluate the radical. 27−−√3 Enter your answer in the box.

Answers

Answer:

3

Step-by-step explanation:

took the test :p

The radical evaluation should be 3.

Calculation of the evaluation of the radical form:

We know that the cube of 3 is 27

basically in this, no square roots, cube roots should be simplified.

So based on this, the radical evaluation should be 3.

Therefore, we can conclude that The radical evaluation should be 3.

learn more about radical here: https://brainly.com/question/20206800

2.184÷0.7 pls help STAT

Answers

Answer:

3.12

Step-by-step explanation:

The slope-intercept form of the equation of a line that passes through the point (4, -3) is y=-3x+5. What is the point-slope form of the
equation for this line?
Point-Slope Form:y- y1=m(x-x1)

y-3--1/3x+4)
y-4--1/3 (X - 3)
y-4--1/3(x+3)
y+ 3 = -1/3 (x-4)

Answers

Answer:

y+ 3 = -1/3 (x-4)

Step-by-step explanation:

Simply plug in the values using (4, -3)

4 = x₁

-3 = y₁

Now one rule to keep in mind when plugging it in, since a negative and a negative make a positive, you have to add three instead of subtracting it.

Answer:

I think the answer is y+ 3 = -1/3 (x-4)

Step-by-step explanation:

Did you hear about the lettuce and tomato race? The lettuce was a head and the tomato tried to ketchup.

Answers

Answer:

bruh

Step-by-step explanation:

b r u h

Consider the parallelogram shown below whose area is 40 square centimeters and height is 8 centimeters. The missing base in the figure is ___ centimeter.

Answers

Answer:

5

Step-by-step explanation:

B=a/h

The missing base in the figure is 5 centimeter.

What is the area of a parallelogram?

The area of a parallelogram is the product of the base and the height of the figure. Supposing that there is no direct formula available for deriving the area, we can derive the area of that region by dividing it into smaller pieces, whose area can be known directly. Then summing all those pieces' area gives us the area of the main big region.

The area of a parallelogram = Base x Height

Given;

     Area of parallelogram= 40 square centimeters

      Height of parallelogram= 8cm

   

Solution;

       A= b x h

   substituting the given values in the formula;

                 40= b x 8

                  b= 40/8

                   b= 5

So, the answer is 5cm

Learn more about area of a parallelogram here:

https://brainly.com/question/4887838

#SPJ6

. Which three-dimensional figure is modeled by the net below?








F. rectangular prism
G. triangular prism
H. square pyramid
I. rectangular pyramid

Answers

Answer:

Can I get more details on this question?

Step-by-step explanation:

If so, I can probably help you a little bit more. And I will edit my response

Answer: The answer is square pyramid

Step-by-step explanation:

v

15 10

In the circle shown, chords AC and BD intersect at E. If AE = 6, EC =

12, and DE = 18. How long is

BE

Answers

Answer:

BE is 4 units long

Step-by-step explanation:

Data

AE = 6EC =  12DE = 18

Given that chords AC and BD intersect at E, then the following equation must be satisfied:

AE * CE = DE * BE

Replacing with data and isolating BE:

6*12 = 18*BE

BE = 6*12/18

BE = 4

A sphere and a cylinder have the same radius and height. The volume of the cylinder is 27 pi feet cubed.
Which equation gives the volume of the sphere?
V = two-thirds (27 pi)
V = four-thirds (27)
V = two-thirds (27)
V = four-third (27 pi)

Answers

Answer:

C. V = two-thirds (27)

Step-by-step explanation:

Given

Solid Shapes: Cylinder and Sphere

Volume of Cylinder = 27π ft³

Required

Volume of the sphere.

From the question,

We have that

1.  The volume of the sphere is the same as the volume of the cylinder

2. The height of the sphere is the same as the height of the cylinder.

From (2) above;

This means that the height of the cylinder equals the diameter of the sphere.

Let h represent the height of the sphere and d represent the diameter of sphere.

Mathematical, d = h

Recall that radius, r = [tex]r = \frac{d}{2}[/tex]

Substitute h for d in the above expression

[tex]r = \frac{h}{2}[/tex]. ----- (take note of this)

Calculating the volume of a cylinder.

V = πr²h

Recall that  V = 27; This gives us

27 = πr²h

Divide both sides by h

[tex]\pi r^2 = \frac{27}{h}[/tex]

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

Calculating the volume of a sphere

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

Expand the above expression

[tex]V = \frac{4}{3}\pi r^2 * r[/tex]

Substitute [tex]\pi r^2 = \frac{27}{h}[/tex]

[tex]V = \frac{4}{3} * \frac{27}{h} * r[/tex]

Recall that [tex]r = \frac{h}{2}[/tex]

So,

[tex]V = \frac{4}{3} * \frac{27}{h} * \frac{h}{2}[/tex]

[tex]V = \frac{4}{3} * \frac{27}{2}[/tex]

[tex]V = \frac{2}{3} * 27[/tex]

[tex]V = \frac{2}{3} (27)[/tex]

V = two-third (27)

Hellllpppp Pleaseeeeee

Answers

Answer:

Statement 1 & Statement 3

Step-by-step explanation:

4 ÷ 10/3

4 × 3/10

12/10

6/5

f(x + 1) = (6/5) × f(x)

f(x) = (10/3) × (6/5)^(x-1)

f(x) = (10/3) × (5/6) × (6/5)^x

f(x) = (25/9) × (6/5)^x

The domain is all natural numbers and the range is real numbers

Step-by-step explanation:

Step 1:  Find the correct answer

Option A is correct because if you plug in the numbers...

[tex]f(0 + 1) = \frac{10}{3}[/tex] → [tex]f(1)=\frac{10}{3}[/tex]

[tex]f(1 + 1) = \frac{6}{5} * \frac{10}{3}[/tex] → [tex]f(2)=4[/tex]

[tex]f(2 + 1) = \frac{6}{5} * \frac{4}{1}[/tex] → [tex]f(3) = \frac{24}{5}[/tex]

[tex]f(3 + 1) = \frac{6}{5} * \frac{24}{5}[/tex] → [tex]f(4) = \frac{144}{25}[/tex]

Also, Option C is correct because if you plug in the numbers...

[tex]f(1) = \frac{10}{3}(\frac{6}{5})^(^1^-^1^)[/tex] → [tex]f(1) = \frac{10}{3} * 1[/tex] → [tex]f(1)=\frac{10}{3}[/tex]

[tex]f(2) = \frac{10}{3}(\frac{6}{5})^(^2^-^1^)[/tex] → [tex]f(2) = \frac{10}{3}*\frac{6}{5}[/tex] → [tex]f(2) = 4[/tex]

[tex]f(3) = \frac{10}{3}(\frac{6}{5})^(^3^-^1^)[/tex] → [tex]f(3) = \frac{10}{3}*\frac{36}{25}[/tex] → [tex]f(3) = \frac{24}{5}[/tex]

[tex]f(4) = \frac{10}{3}(\frac{6}{5})^(^4^-^1^)[/tex] → [tex]f(4) = \frac{10}{3} * \frac{216}{125}[/tex] → [tex]f(4) = \frac{144}{25}[/tex]

The reason why option B is not correct is because when you plug in a number, the output is incorrect.  The reason why Option D is not correct is because the domain does not include negative numbers which means that the domain is all natural numbers.  The reason why Option E is not correct is because the range is all real numbers and not just natural/positive numbers.

Answer: Options A, C

the sum of 198 and h as an algebraic expression

Answers

Answer:

198+h

have a nice day

The value of Vishal's car is depreciating exponentially.


The relationship between V, the value of his car, in dollars, and t, the elapsed time, in years, since he purchased the car is modeled by the following equation.


V=22,500⋅10^-t/12


How many years after purchase will Vishal's car be worth $10,000


Give an exact answer expressed as a base-10 logarithm.

Answers

We have been given that the value of Vishal's car is depreciating exponentially.  The relationship between V, the value of his car, in dollars, and t, the elapsed time, in years, since he purchased the car is modeled by the equation [tex]V=22,500\cdot 10^{-\frac{t}{12}}[/tex]. We are asked to find the time, when Vishal's car will be worth $10,000.

To find the time, we will equate our given equation with 10,000 as:

[tex]10,000=22,500\cdot 10^{-\frac{t}{12}}[/tex]  

[tex]\frac{10,000}{22,500}=\frac{22,500\cdot 10^{-\frac{t}{12}}}{22,500}[/tex]

[tex]\frac{4}{9}=10^{-\frac{t}{12}}[/tex]

Now we will take log on both sides.

[tex]log_{10}\left(\frac{4}{9}\right)=log_{10}\left(10^{-\frac{t}{12}}\right)[/tex]

[tex]log_{10}\left((\frac{2}{3})^2\right)=-\frac{t}{12}[/tex]

[tex]-\frac{t}{12}=log_{10}\left((\frac{2}{3})^2\right)[/tex]

[tex]-\frac{t}{12}(-12)=(-12)log_{10}\left((\frac{2}{3})^2\right)[/tex]

[tex]t=(-12)log_{10}\left((\frac{2}{3})^2\right)[/tex]

Using property [tex]log(a^b)=b\cdot log(a)[/tex], we will get:

[tex]t=(-12)\cdot 2log_{10}\left(\frac{2}{3}\right)[/tex]

[tex]t=-24log_{10}\left(\frac{2}{3}\right)[/tex]

Therefore, the value of Vishal's car will be $10,000 after approximately  [tex]-24log_{10}\left(\frac{2}{3}\right)[/tex] years.

Which statement is true?

Only some squares are rectangles. Rectangles have 4 right angles. Therefore, only some squares have 4 right angles.

Only some squares are rectangles. Rectangles have 4 sides that are the same length. Therefore, only some squares have 4 sides that are the same length.

All squares are rectangles. Rectangles have 4 sides that are the same length. Therefore, all squares have 4 sides that are the same length.

All squares are rectangles. Rectangles have 4 right angles. Therefore, all squares have 4 right angles.

Answers

Answer:

All squares are rectangles. Rectangles have 4 right angles. Therefore, all squares have 4 right angles.

Step-by-step explanation:

The old math saying: "Every square is a rectangle, but not all rectangles are squares."

What makes a rectangle a rectangle is that it has four right angles.

A square also has four right angles. Therefore, a square is a type of rectangle.

What makes the other answers wrong:

A rectangle does not have equal lengths on all four sides like a square does.

A square MUST have four right angles for it to be a square.

Brainiliest Appreciated.

Question:

A. 1) Only some squares are rectangles. 2) Rectangles have 4 right angles. 3) Therefore, only some squares have 4 right angles.

B. 1) Only some squares are rectangles. 2) Rectangles have 4 sides that are the same length. 3) Therefore, only some squares have 4 sides that are the same length.

C. 1) All squares are rectangles. 2) Rectangles have 4 sides that are the same length. 3) Therefore, all squares have 4 sides that are the same length.

D. 1) All squares are rectangles. 2) Rectangles have 4 right angles. 3)Therefore, all squares have 4 right angles.

Answer:

All squares are rectangles. Rectangles have 4 right angles. Therefore, all squares have 4 right angles.

Step-by-step explanation:

Let's go by process of elimination. Starting with A.

A. 1) Only some squares are rectangles. 2) Rectangles have 4 right angles. 3) Therefore, only some squares have 4 right angles.

You can already tell that it's incorrect just looking at sentence 1). All squares are rectangles because a rectangle is:

1. Quadrilateral.

2. Two pairs of parallel sides.

3. Four right angles.

Sentence 2) is correct because Rectangles have 4 right angles. But sentence 3) is incorrect because all squares have 4 right angles.

Down to B.

B. 1) Only some squares are rectangles. 2) Rectangles have 4 sides that are the same length. 3) Therefore, only some squares have 4 sides that are the same length.

Same thing in the first sentence as A . Sentence 1) is incorrect since all squares are rectangles. Sentence 2) is also incorrect because Rectangles do not have the same lengths on all four sides. Only two sides are the same in length. The sides that are the same are the two  sides across from each other. Sentence 3) is also incorrect since all squares have 4 sides that are the same length.

Moving down again to C.

C. 1) All squares are rectangles. 2) Rectangles have 4 sides that are the same length. 3) Therefore, all squares have 4 sides that are the same length.

Sentence 1) is correct. All squares are rectangles. Sentence 2) is incorrect because not all sides are the same length. Sentence 3) is correct because all squares have 4 sides that are the same length.

Down to D. (The correct answer.)

D. 1) All squares are rectangles. 2) Rectangles have 4 right angles. 3)Therefore, all squares have 4 right angles.

Sentence 1) is correct because all squares are in fact, rectangles. here is a fact about squares:

"A square is a quadrilateral with all four angles, right angles, and all four sides of the same length. So a square is a special kind of rectangle, it is one where all the sides have the same length. Thus every square is a rectangle because it is a quadrilateral with all four angles right angles."

Sentence 2) is also correct because all rectangles have four right angles. Here are some more facts about rectangles:

"All rectangles are parallelograms, but all parallelograms are not rectangles.

The diagonals of a rectangle divide the rectangle into four triangles.

Every square is a rectangle, but every rectangle is not a square."

Sentence 3) is correct. All squares have 4 right angles. Therefore, Option D. would be your correct answer.

PLEASE ANSWER FAST! What does it mean when the point on the number line is an open circle?

Answers

Answer:

See explanation for answer.

Step-by-step explanation:

When the point on the number line is an open circle, that means that the inequality does not include that exact value. For instance, in this case the inequality only takes number higher than, but not equal to, -1. Hope this helps!

Answer:

When graphing a linear inequality on a number line, use an open circle for "less than" or "greater than", and a closed circle for "less than or equal to" or "greater than or equal to".

Step-by-step explanation:

Select all the expressions that have a value
always
greater than 18,204.
A. 18,204 x 6
B. 18,204 x
length
C. 18,204 x 1
use angles
D. 18,204 x
3
10
E. 18,204

Answers

E this isnt an anwser i j have to anwser a q before i can ask anymore

Step-by-step explanation:

18024 x 6 = 108144

18024 x 2/3 = 12016

18024 x 1 1/8 = 18025.125

18024 x 3/ 3 = 18024

18024 x 10/5 = 36048

Option A C E are the correct answer

PLEASE HELP ITS AN EMERGENCY

Answers

Answer:

the answer is d

Step-by-step explanation:

Which system of equations could be graphed to solve the equation below?

log Subscript 0.5 Baseline x = log Subscript 3 Baseline 2 + x
y 1 = StartFraction log 0.5 Over x EndFraction , y 2 = StartFraction log 3 Over 2 + x EndFraction
y 1 = StartFraction log x Over log 0.5 EndFraction, y 2 = StartFraction log 2 + x Over log 3 EndFraction
y 1 = StartFraction log 0.5 Over log 3 EndFraction, y 2 = StartFraction log x Over log 2 + x EndFraction
y 1 = StartFraction log x Over log 0.5 EndFraction, y 2 = StartFraction log 2 Over log 3 EndFraction + x

Answers

Answer:

y 1 = StartFraction log x Over log 0.5 EndFraction, y 2 = StartFraction log 2 Over log 3 EndFraction + x

Step-by-step explanation:

Final answer:

To solve the log equation, the appropriate system of equations is y₁ =  log₀.₅ x and y₂ =  log₃(2+x) as these correspond to the format of the original log equation, where we can equate the two and solve for x.

Explanation:

To solve the equation log₀.₅ₓ = log₃ (2+x), we can rewrite it in a form that helps us find a system of equations.

First, apply the change of base formula for logarithms:

log ab/ log ac = log cb.

Using this formula, we can rewrite the given equation as:

log 0.5x / log₀.₅ 10 = log₃(2+x) / log₃10

Now, we can create a system of equations with the following relationships:

y₁ = log₀.₅ x / log₀.₅10

y₂ = log₃(2+x) / log₃10

Therefore, the correct choice is:

y₁ = logₓ/log₀.₅ , y₂=  log(2+x)/ log 3

Learn more about logarithmic functions here:

https://brainly.com/question/30139693

#SPJ11

Please Help! I'm really stuck on this question 6th Grade Math​

Answers

Answer: a

Step-by-step explanation: can i have brainliest

Answer:

155

Step-by-step explanation:

9 x 4 = 36

6 x 9 = 54

5 x 9 = 45

triangles = 10 x 2 = 20

36 + 54 + 45 + 20 = 155

which polyhedron is represented by the net shown

Answers

Answer:

triangular pyramid

Step-by-step explanation:

Let's make the central triangle the "base", or the bottom face, of our polyhedron. Try to visualise what will happen if we fold up the three triangles so that their top vertices meet at the center top (see diagram).

If we can do that, we'll see that it's a pyramid with a triangular base, so it's a triangular pyramid.

Answer-triangular pyramid

Triangular has a base of a triangle and 3 sides that are triangles

Hope this helps

Which weighs more: a pumpkin that weighs 3.2 kilograms, Or a cat that weighs 9 pounds? Note 1 pound is about 0.45 kilograms

Answers

Answer:

The cat weighs more.

Step-by-step explanation:

The cat weighs 4.08 kilograms and the pumpkin weighs 3.2 kilograms.

9lbs=4.08 kilograms.

Hope this helps : )

The body that weighs more, based on its relative mass is the cat.

The cat weighs 9 pounds and the pumpkin weighs 3.2 kilograms.

To know which weighs more, they need to be weighed in the same units.

Convert the cat to kilograms:

= Number of pounds x Pounds to kilograms

= 9 x 0.45

= 4.05 kg

The cat therefore weighs more than the pumpkin.

Find out more at https://brainly.com/question/426654.

BRAINLIEST!!

1. Solve log2 x = 5.

PLZ HELP

Answers

Answer: 32

explanation.

The value of x in the equation log_2_ x = 5 is;

x = 32

We are given; log_2_ x = 5

To solve this, we need to understand that in logarithms, there is a rule for bases like this. An example is;

Log_a_x = y means that;

a^(y) = x

Apply that formula to our question gives us;

log_2_ x = 5 can be expressed as;

2^(5) = x

Thus; x = 32

Read more at;https://brainly.com/question/24224537


John had 60 video games and he sold 80% of the games at a garage sale. How many video games
were sold?​

Answers

Answer:

48 video games were sold.

Step-by-step explanation:

We know that both 100% and 60 are divisable by 5. 100%÷5=20%. 60÷5=12. So now we know that 20% of 60 is 12. We need 80%, however. To get from 20% to 80%, we just multiply by four. 20 × 4 = 80. But what we do to one side, we must do to the other. 12×4=48. So 80% of 60 is 48.

Hope this helped, and good luck with future math problems!

Please help me out! I have only 1 hour left! I will give brainlist to correct answers. 5 stars and thanks for ALL answers, even asking for details.

Answers

Answer:

The small tire would make about  127 rotations.

The large tire would make about  38 rotations.

b. Would you rather ride a bicycle made with two large wheels or two small wheels? Explain.

Two large wheels. Because the larger wheel makes a smoother ride and you spend less energy in order to move, compared to smaller wheels. Also, the larger the diameter, the further it can travel over one revolution.

A bicycle with would allow you to travel farther with each rotation of the pedal.

The larger one. Because in one rotation the larger wheel moves 188.49 inches and the smaller one 56.55 inches.

[tex]C= 188.49\text{inches}[/tex]

[tex]C= 56.55\text{inches}[/tex]

Step-by-step explanation:

- Big wheel 60 inches

- Small wheel 18 inches.

a. How many rotations does each tire make after traveling 600 feet? Round your answers to the nearest whole number.

Considering: [tex]C=\pi d[/tex]

Large tire:

[tex]C=60\pi[/tex]

[tex]C= 188.49\text{inches}[/tex]

[tex]$C=\frac{188.49}{12} = 15.7 \text{feet}$[/tex]

[tex]$\frac{600 }{15.7} = 38 \text{rotations}$[/tex]

Small tire:

[tex]C=18\pi[/tex]

[tex]C= 56.55\text{inches}[/tex]

[tex]$C=\frac{56.55}{12} = 4.71 \text{feet}$[/tex]

[tex]$\frac{600 }{4.71} = 127 \text{rotations}$[/tex]

Roxane is designing a new cake box for a local bakery. The template for the cake box is shown above. When the template is folded along the dotted lines, it makes a box with a length of 42 centimeters, a width of 20 centimeters, and a height of 10 centimeters.

How much paperboard is needed to make the cake box?
A.
2,080 square centimeters
B.
1,462 square centimeters
C.
2,920 square centimeters
D.
1,460 square centimeters

Answers

Answer:

Area of rectangle box = 2,920 CM²

Step-by-step explanation:

Given:

Length = 42 Cm

Width = 20 Cm

Height = 10 Cm

Find:

Total area required to make box = ?

Computation:

Area of rectangle box = 2[LB + BH + HL]

Area of rectangle box = 2[(42 × 20) + (20 × 10) + (10 × 42)]

Area of rectangle box = 2[(840) + (200) + (420)]

Area of rectangle box = 2[1,460]

Area of rectangle box = 2,920 CM²

factor this four term polynomial: 4x^4-2x^3-6x+3

Answers

Answer:

( 2 x − 1 ) ( 2 x↑ 3 − 3)

Step-by-step explanation:

The arrow indicates that the 3 is an exponent

Also Mark me brainliest!

Other Questions
What is an online consumer identity?OA. The way people present themselves to friends with social mediaOB. A list of all the websites a person visits to purchase productsOC. The way a person is viewed by companies based on his or herpurchasesOD. A log of the things a person searches for on the Internet Solve: 3x - 2x + 4 = 5x - 4x - 8A)3B)69-3no solution Mary owns 100 percent of a gift shop with an equity value of $150,000. If she keeps the shop open 5 days a week, EBIT is $75,000. If the shop remains open 6 days a week, EBIT increases to $92,000 annually. Mary needs an additional $50,000 which she can raise today by either selling stock or issuing debt at an interest rate of 7 percent. The principal amount would be repaid at the end of the fifth year. Ignore taxes. What will be the cash flow for this year to Mary if she issues debt, remains open 6 days a week, and distributes all the residual cash flow to the shareholders? A company will pay a $2 per share dividend in 1 year. The dividend in 2 years will be $4 per share, and it is expected that dividends will grow at %5 per year thereafter. The expected rate of return on the stock is 12%. a) What is the expected price of the stock in a year? b) Show that the expected return, 12%, equals dividend yield plus capital appreciation. A forward contract is described by:_______.a. agreeing today to buy a product today at its current price. b. agreeing today to buy a product at a later date at a price to be set in the future. c. agreeing today to buy a product if and only if its price rises above the exercise price today at its current price. d. agreeing today to buy a product at a later date at a price set today. Justin and Desiree each wrote a ratio comparing the numbers of students and tables in their classroom. There are 6 tables in the room with 4 students at each table. Justin states that the ratio is 4:1. Desiree insists the ratio is 24:6.They both ask Luke to tell them which ratio is correct. Which statement below would be the best answer for Luke?Justin is correct because there are 4 students per table. A ratio is not correct unless it uses the smallest possible numbers.Desiree is correct because there are 24 students to 6 tables in the room. A ratio must account for the total number of each value.Both are correct. Desirees ratio compares the total number of students in the room to the total number of tables, while Justins is equivalent but simplified to students per table.Neither is correct because they should have 4:6 or 2:3 for the 4 students and 6 tables. which prism has a greater volume prism a has 17 more cubic units of volume than prism B prism B has 3 more cubic units of volume than prism a prism B has 8 more cubic units of volume than prism a 4. What is true about the government according to the U.S. Constitution? Ivan is playing a skee-ball game. Different points are awarded depending on which hole the ball goes through. When the ball goes in the smallest hole, it is worth 100 points. When it goes in the bigger hole, it is worth 10 points, and when it does not go in either hole, it is worth 1 point. Ivan earned 352 points in the last game.Which combination will result in a score greater than his current score?2 balls in the smallest hole, and 8 balls in the bigger hole4 balls in the smallest hole, and 6 balls in neither hole3 balls in the smallest hole, 4 balls in the bigger hole, and 3 balls in neither hole3 balls in the smallest hole, 3 balls in the bigger hole, and 4 balls in neither hol The formula in cell B1 is =A$2. Autofill is used by dragging B1's autofill box across to C1, D1, and E1. What formulas will appear in C1, D1, and E1, respectively? Mirrors reflect light and lenses absorb light.TrueFalse What does it mean when energy is conserved? How are energy and work related? What are the two basic types of energy and how are they related? Alice was flying a kite when a gust of wind caught the kite in a tree. Alice is standing 10 feet from the base of the tree, looking up at her kite at an angle of 25If Alice is 5 feet tall, approximately how high is the kite off of the ground? What was an argument for Japanese imperial expansion Which of these choices is a sustainable practice of a postindustrial society?OA. Sprawl of urban areasOB. Protection of pollinatorsOC. Eradication of insectsOD. Fossil fuel dependence Sandy plays tennis once every 6 six days. Jim plays once every 8 eight days. If they both played tennis today, in how many days will they play on the same day again? Find the surface area of this triangular prism. Which climate favors mechanical weathering?dry dinalecold climatewarm climate desert cmate An extruder barrel has a diameter of 4.22 inches and a length of 75 inches. The screw rotates at 65 revolutions per minute. The screw channel depth = 0.23 in, and the flight angle = 21.4 degrees. The head pressure at the die end of the barrel is 705 lb/in2. The viscosity of the polymer melt is given as 145 x 10-4 lbsec/in2. Calculate the volume flow rate in in3/sec of the plastic through the barrel. please help with the question Steam Workshop Downloader