Katie needs to figure out how much space a shoe box takes up. It is 13 1/2 inches long and 5 inches high and 6 2/3 inches wide. What is the shoe box's volume?

The maximum height occurs at the vertex found using t = -b/2a

The time = t=-20/2*-5 = -20/-10 = 2 seconds.

Now replace t with 2 in the equation to solve for the height:

h(t) = -5t^2 +20t +1

h(2) = -5(2)^2 +20(2) +1

h(2) = -5(4) + 40 + 1

h(2) = -20 + 41

h(2) = 21 meters.

Maximum height was 21 meters at 2 seconds.

Answer:

11 weeks

Step-by-step explanation:

First we need to check what variables we have.

Beginning Balance = $1000

Goal = $350

Withdrawal = $55 per week

Now let's declare a variable as the number of weeks.

Let x  = number of weeks

1000 - 55x = 350

-55x = 350-1000

-55x = -650

Then we divide both sides by -55 to find the value of x.

x = 11.81 or 11 since we're looking for how many weeks in total

Now let's see if we still have 350 if we have a total of 11 as the value of x.

1000 - 55(11) = 350

1000 - 605 = 350

395 = 350

We can see that Kendall will have $395 compared to the $350 goal.

So Kendall can withdraw $55 a week for 11 weeks to still be within her goal of having $350 in her savings account.

From the initial $1000 savings, Kendall can make withdrawals for 11 full weeks while maintaining her goal of having at least $350 left in the account.

To find out how many weeks Kendall can withdraw funds, we first need to calculate how much money Kendall can actually spend without going below her goal of $350. This is done by subtracting Kendall's savings goal from her initial savings. So, $1000 - $350 = $650.

Next, we divide this available amount ($650) by how much Kendall withdraws each week ($55). So, $650 ÷ $55 = approximately 11.82 weeks. Since Kendall can't withdraw money for a part of a week, she can make this withdrawal for 11 full weeks before reaching her goal of $350 in her account.

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Answer:

Dilation

Step-by-step explanation:

dilation either inflates or deflates the shape therefor being a non-rigid transformation because it does not keep its same size

Answer:

sample,

No, it is not possible to get the same image as a 90-degree clockwise rotation using only translations and/or reflections. In the rotation, the x- and y-coordinates are switched. There is no way to reverse the order of the coordinates using only reflections or translations.

edginuity 2021

Answer:

FT→T

Step-by-step explanation:

If p is true, then ~p is false.

Now note that

In your case, both~p is false and q is true, then ~p→q is true too (or FT→T)

Answer:

[tex] F -T\rightarrow T[/tex].

Step-by-step explanation:

We are given that

p: true

q: true

The condition statement [tex]\neg p\rightarrow q [/tex]

If p is true then[tex]\neg p [/tex] is false.

If p is false then [tex]\neg p[/tex] is true.

If[tex]\ neg p [/tex] is false and q is true then the value of [tex]\neg p \rightarrow q[/tex] is true.

If  [tex]\neg p [/tex] is true and q is true then [tex]\neg p \rightarrow q[/tex] is true.

If[tex]\ neg p[/tex] is true and q is false then the value of [tex]\neg p \rightarrow q[/tex] is false.

If [tex]\neg p[/tex] is false and q is false then the value of [tex]\neg p \rightarrow q [/tex] is true.

[tex]F-T\rightarrow T[/tex]

[tex]T-F\rightarrow F[/tex]

[tex]F -F\rightarrow T[/tex]

[tex]T-F \rightarrow F[/tex].

Answer:

3) x= 5, -2

4)x= -3, -5

Answer:

The correct answer is CAB

Step-by-step explanation:

Exterior angles include two corner points and one point not on the triangle. Thus CAD would be an exterior angle.

The angle that represents an exterior angle of [tex]\triangle ABF[/tex] is: d. ∠CAB​

An illustration of an exterior angle of a typical triangle has been shown in the diagram attached below.

Analyzing the diagram given for this question, the only exterior angle of triangle ABF from the list of answer choices given is <CAB.

Therefore, the angle that represents an exterior angle of [tex]\triangle ABF[/tex] is: d. ∠CAB​

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Answer:

3:13

Step-by-step explanation:

Just simplify it all the way, leaving you with 3/13 if you divide both numbers by three, then you can convert it to a ratio there.

Answer:

3:13

Step-by-step explanation:

Answer: The Last One

Step-by-step explanation: The Last One Would Be A Product Of Negative

For this case we have that by definition, the law of the signs of multiplication states that:

[tex]+ * + = +\\+ * - = -\\- * + = -\\- * - = +[/tex]

So:

Option A:

[tex]- * - * + = + * + = +[/tex]

It does not give a negative sign.

Option B:

[tex]+ * - * - = - * - = +[/tex]

It does not give a negative sign.

Option C:

[tex]+ * + * + = + * + = +[/tex]

It does not give a negative sign.

Option D:

[tex]- * - * - = + * - = -[/tex]

The sign is negative.

Answer:

Option D

Answer:

Step-by-step explanation:

To solve these we need to understand AND/OR rule of probability.

Simply put "AND" means "multiplication" and "OR" means "addition".

1.Drawing a King AND drawing a Heart:

Pleas note that there are 4 suits in a deck of cards and each suit has 1 king. So in a 52-card standard deck, there is 4 king. Also, there are 13 cards of each suite, so there are 13 hearts out of total 52. Also note that there is "AND" in between (so multiplication).

P(King)*P(heart) = 4/52 * 13/52 = 1/52

2. Flipping a Heads OR flipping a Tails:

Note that there can only be head or tail, so probability of either head of tail is 1/2. Note, there is "OR" in between (so addition).

P(head) + P(tail) = 1/2 + 1/2 = 1

3. Flipping a Tails AND drawing a King:

We already saw the probability of flipping tail is 1/2. Also, we say that there are 4 kings in a standard deck, so probability of drawing a king is 4/52. Note there is "AND" in between (so multiplication). Thus:

P(tails) * P(King) = 1/2 * 4/52 = 1/26

4. Flipping a Tails OR drawing a King

As #3, flipping a tail's probability is 1/2. And, drawing a King's probability is 4/52. BUT here, it is "OR" in between , hence we need to "ADD". Thus:

P (tail) + P(King) = 1/2 + 4/52 = 15/26

5. Drawing a King OR drawing a Heart

As we know, there are 4 suits each with 1 king, so there are total of 4 kings in a standard 52-deck card. Also, there are 13 cards of each suite (hearts, spades, diamonds, clubs). So there are 13 hearts. Hence, probability of King is 4/52 and probability of heart is 13/52. Note that there is "OR" in between, so that means "addition". Thus:

P(king) + P(heart) = 4/52 + 13/52 = 17/52

The various probabilities calculated are: 1) 1/52, 2) 1, 3) 1/26, 4) 7/13, 5) 4/13.

Therefore, the various probabilities calculated are: 1) 1/52, 2) 1, 3) 1/26, 4) 7/13, 5) 4/13.

For this case, we have that by definition, the volume of a rectangular prism is given by:

[tex]V = A_ {b} * h[/tex]

Where:

[tex]A_ {b} = l * w,[/tex] It is the area of the base

h: It is the height of the prism

So:

[tex]l = 3 \frac {1} {2} = \frac {6 + 1} {2} = \frac {7} {2} in\\w = 5 \ in\\h = 1 \frac {1} {2} = \frac {2 + 1} {2} = \frac {3} {2} in[/tex]

So, we have:

[tex]A_ {b} = \frac {7} {2} * 5\\A_ {b} = \frac {35} {2}\\A_ {b} = 17.5 \ in ^ 2[/tex]

Thus, the volume will be:

[tex]V = 17.5 * \frac {3} {2}\\V = 26.25 \ in ^ 3[/tex]

Answer:

[tex]V = 26.25 \ in ^ 3[/tex]

FG and JH are two parallel line segments

Answer:

FG and JH

Step-by-step explanation:

Obviously, FJ and GH are not parallel. So the only remaining pair of lines are fg and jh.

therefore, FG and JH appear to be parallel.

1:4 is the scale factor of the triangle

Given these evaluations, the most likely false statement is the second one, as the price of gasoline can vary greatly and is not necessarily more expensive by the liter than by the gallon in all cases. However, without specific context or pricing information, it's hard to definitively say this statement is false globally. It would be the most contextually dependent and variable of the statements provided.

The image contains a multiple-choice question asking which of the following statements is false:

1. Volume and capacity measurements of the same amount would be equivalent in number but not in measurement unit.

2. Gasoline is more expensive if you purchase it by the liter than by the gallon.

3. If you multiplied the diameter of the Earth by pi (3.14), you would get the approximate measurement of the equator.

4. Historically, a meter is 1/10,000,000th of an imaginary arc that runs from the North Pole through Paris to the Equator.

To answer this question, let's evaluate each statement for its truthfulness:

1. Volume and Capacity: This statement is true. Volume and capacity refer to the amount of space that is filled or could be filled with a substance. They are equivalent in number but expressed in different units. For example, 1 liter of water has the same volume as 1,000 milliliters of water.

2. Gasoline Pricing: This statement can be true or false depending on the pricing in a particular country, but it is generally true that gasoline prices per liter are higher than per gallon due to the conversion factor between liters and gallons. However, this is a variable factor and can differ in reality based on regional pricing policies.

3. Earth's Diameter and Equator: This statement is true. The circumference of the Earth at the equator is approximately equal to the diameter of the Earth multiplied by pi (π).

4. Historical Meter Definition: This statement is true. Historically, the meter was defined as one ten-millionth of the distance from the equator to the North Pole along a meridian through Paris.

Answer:

The graph in the attached figure

Step-by-step explanation:

we have

[tex]\left|x\right|<18[/tex]

we know that

The absolute value function has two solutions

case positive

[tex]+(x)<18[/tex]

The solution is the interval------> (-∞,18)

All real numbers less than 18

In a number line is the shaded area to the left at point x=18 (open circle)

case negative

[tex]-(x)<18[/tex]

Multiply by -1 both sides

[tex](x)>-18[/tex]

The solution is the interval------> (-18,∞)

All real numbers greater than -18

In a number line is the shaded area to the right at point x=-18 (open circle)

therefore

The solution of the inequality

[tex]\left|x\right|<18[/tex]

All real numbers greater than -18 and less than 18

see the attached figure to better understand the problem

80,000,000 in scientific notation would look like this...

8 x 10^7

It’s as simple as that. Let me know if you need any more help understanding!

Answer: 8×10^7

explanation: when doing scientific notation, you want the number(8) to be less than 10 so you would move the decimal left 7 places so it becomes 8.0000000, and then you would take 8 and put it in the equation so it's 8×10^7

Answer:

4561.6 units squared

Step-by-step explanation:

The volume of a cylinder is defined by this equation: πr2h

r = radius = 11 units

h = height = 12 units

π = pi = 3.14152...etc. (In your case, just use 3.14)

So you plug these into the equation:

πr2h = (3.14) x (12) x (11^2)

Here, we will write squared as a number ^2, meaning that you multiply that number by itself twice.

Since 11 x 11 = 121, we can now solve for the volume:

(3.14) x (12) x (121) = 4561.6 units^2

Answer: 6000, you simply multiply the mass by 1000

Answer: A

Step-by-step explanation: v= 4/3 pi r^3

Take diameter to radius by dividing it by 1/2

The volume of the beach ball with a diameter of 2 feet is approximately 4.2 cubic feet, calculated using the volume formula for a sphere, resulting in choice (a) being the closest match.

To find the volume of the beach ball, we must use the formula for the volume of a sphere, which is V = ⅔×π×r³, where r is the radius of the sphere. Since the diameter of the beach ball is 2 feet, its radius is half of that, which is 1 foot. Plugging the values into the formula:

V = ⅔×π×(1 ft)³

Let's calculate:

V = ⅔×π×(1)³

V = 4.18879 cubic feet (approximately)

So, the volume of the beach ball is approximately 4.2 cubic feet, which corresponds to choice (a).

Answer:  V = B · h

Step-by-step explanation:

Volume (V) = Area of the base (B) × height (h)

The Area of the base (B) depends on the shape of the base. For example:

The expression for volume of prism is A*H where A is area of base and H is height of the prism.

What is volume?

Each thing in three dimensions takes up some space. The volume of this area is what is being measured. The space occupied within an object's borders in three dimensions is referred to as its volume.

A prism is a solid geometric figure whose two end faces are similar, equal, and parallel rectilinear figures, and whose sides are parallelograms.

Basically a prism has a base with a height.

The volume V of prism will be the product of the area of base A and the height of the prism H.

V=A*H

Therefore, the expression for volume of prism is A*H where A is area of base and H is height of the prism.

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9+ -6 -6

What do you want to know?

Answer:

$14.50 I'm positive.

Step-by-step explanation:

Rented one time shoes: $2.75

One game of bowling: $2.50*4 games of bowling

4 games of bowling is $10

One nachos: $1.75*2 orders of nachos

2 orders of nachos is $3.50

HOPE THIS HELPED :)

Answer:

Angle 2

Step-by-step explanation:

Looking at triangles ABD and ACD, they have parts which correspond. These parts are located in the same location in each triangle.

Angle 1 corresponds to Angle 2.

Answer:

The angle ∡1 is equivalent to ∡2

Step-by-step explanation:

We need to start with one reasonable assumption on the image to understand the thought process: "In the rhomboid at the left side, the length of AB is equal to AC".

If we trace a line from B to C, the left side of the rhomboid will be an isosceles triangle (see attached image).

One of the characteristics of these triangles is that if we trace a line directly from the vertex A to the opposite side (line BC) it splits the angle by half, so one half would be ∡1 and the other would be the answer: ∡2

Answer:

0

Step-by-step explanation:

For this case we have that by definition of properties of powers, it is fulfilled that:

[tex]a ^ {- 1} = \frac {1} {a ^ 1} = \frac {1} {a}[/tex]

On the other hand, we have that any number elevates it to the power 0, results in "1"

We have the expression:

[tex](-14^0)^{-2}[/tex]

What can we rewrite as:

[tex]\frac {1} {(- 14 ^ 0) ^ 2} = \frac {1} {(14 ^ 0) (14 ^ 0)} = \frac {1} {1 * 1} = \frac {1} {1} = 1[/tex]

Answer:

Option D

Answer:

Option B.

Step-by-step explanation:

Each summation symbol tells you to add terms. The terms are obtained by replacing n in the expression with the integers 1, 2, 3, 4, 5, and 6.

Let's look at option A:

The expression is 2(2)^n.

Replacing n with 1, 2, ..., 6 gives us these terms, which are added:

2(2)^1, 2(2)^2, 2(2)^3, 2(2)^4, 2(2)^5, 2(2)^6

The terms above simplify to:

4, 8, 16, 32, 64, 128

Clearly these are not the terms in the series you are given, so option A is not the answer.

Let's now look at option B:

Replacing n in 2n with 1, 2, 3, ..., 6 gives us:

2(1), 2(2), 2(3), 2(4), 2(5), 2(6) which simplifies to 2, 4, 6, 8, 10, 12.

Since it's a summation, you add the terms above to get

2 + 4 + 6 + 8 + 10 + 12

Option B is the answer.

Since k is constant (the same for every point), we can find k when given any point by dividing the y-coordinate by the x-coordinate. For example, if y varies directly as x, and y = 6 when x = 2, the constant of variation is k = = 3. Thus, the equation describing this direct variation is y = 3x.

9/11 = x/22

9*22 = 11x

198 = 11x | :11

x = 18

Answer:

Advance tickets cost $30; same-day tickets cost $35.

Step-by-step explanation:

Let a = the cost of an advance ticket

and s = the cost of a same-day ticket

We have two conditions:

                                                         (1)                  a + s = 65

                                                         (2)        15a + 20s = 1150

Subtract a from each side of  (1)     (3)                       s = 65 - a

Substitute (3) into (2)                         15a + 20(65 - a) = 1150  

Distribute the 20                             15a + 1300 - 20a  = 1150

Combine like terms                                     1300 - 5a = 1150

Subtract 1300 from each side                               -5a = -150

Divide each side by -5                    (4)                     a = 30

Substitute (4) into (1)                                          30 + s = 65

Subtract 30 from each side                                     s = 35

Advance tickets cost $30; same-day tickets cost $35.

Check:

(1) 30 + 35 = 65     (2) 15 × 30 + 20 × 35 = 1150

            65 = 65             450    +    700    = 1150

                                                         1150 = 1150

Answer:

x=5

Step-by-step explanation:

1/2 x^3 = 125 /2

Multiply each side by 2

2*1/2 x^3 = 125 /2*2

x^3 = 125

Take the cube root of each side

(x^3) ^ 1/3 = (125) ^ 1/3

x = 5

( 5*5*5 = 125    -5*-5*-5 = -125)

So in interest is given once a year.

Year's interest = 200 × 12%

= 200× 12/100 = $24

2 Years' interest = 24 × 2 = $48

Money paid for loan

= 200 + 48

= $248

Ans = $248

Happy to help. Marking me the brainliest would really be appreciated.

Answer:

The amount you pay to the loaner is $248 but the amount of intrest you paid is $48

Step-by-step explanation:

Your Intrest is 12% so the decimal of that is .12. so Multiply .12 with 200, to find out 12% of 200

200 x .12 =24

so 12% of 200 is 24. But also 24 is the amount of intrest you would pay for 1 year. since you have to pay for TWO years multipy 24 by 2

24 x 2 = 48

so you pay $48 in intrest

Hope this helps!

Answer:

First option

h = 4 and k = - 2

Step-by-step explanation:

f(x) = x^3 translated to g(x) = (x – h)^3 + k.

f(x) transformed to g(x) with 4 units to the right and 2 units down

g(x) = (x - 4)^3 - 2

h = 4 and k = - 2

The translated function is g(x) = (x - 4)³ - 2, the correct option is the first one.

For a general function f(x), we can define:

Vertical translation of N units as:

g(x) = f(x) + N

if N < 0, the translation is downwards.

if N > 0, the translation is upwards.

Horizontal translation of N units as:

g(x) = f(x + N)

if N > 0, the translation is to the left.

if N < 0, the translation is to the right.

Here we can see that we have a translation of 4 units to the right and 2 units down, then the translated function is:

g(x) = (x - 4)³ - 2

The correct option is the first one.

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