3. Lizbeth has a lunch box in the shape of a rectangular prism that
measures 11.5 inches in length and 7.2 inches in width. If the lunch box is 4
inches tall, calculate its volume in cubic inches.

Answer:

A, B, D

Step-by-step explanation:

Given that :

24 / 18 = 4 / 3 = 1.333

Comparing the options solutions for the options given :

3/9 ÷ 2/8 = 3/9 * 8/2 = 24 / 18 = 1.333

4/9 ÷ 2/6 = 4/9 * 6/2 = 24/18 = 1.333

5/6 ÷ 3/4 = 5/6 * 4/3 = 20 / 18

8/3 ÷ 6/3 = 8/3 * 3/6 = 24 / 18 = 1.333

Hence, expressions which are equal are :

A, B and D

Answer:

The answer is "The cops were correct because the average speed would have been about 39.73 miles per hour as per the calculations."

Step-by-step explanation:

Finding the average skid distance:

[tex]Average=\frac{70+71+72}{3}=\frac{213}{3}=71[/tex]

Calculating the skid:  

[tex]S=\sqrt{30 \times D \times f\times n}\\\\[/tex]  

   [tex]=\sqrt{30 \times 71 \times 0.78\times 0.95}\\\\=\sqrt{1,578.33}\\\\=39.73[/tex]

Answer:

0,8

Step-by-step explanation:

(-x-2)(x-4)=y

To find the x-intercept, substitute in 0 for y and solve for x. To find y-intercept, substitiue in 0 for x and solve for y.

(-0-2)(0-4)=y

(-2)(-4)=8

y=8

0,8

Answer:

jack has 8 jellybeans and his brother has 17

Step-by-step explanation:

Jack have 8 jellies and his brother have 17 jellies.

A number expressed as a quotient, in which a numerator is divided by a denominator.

Total number of jellies= 25.

The jellies is to be divide between jack and his brother.

let us consider jack has 'x' jellies

Then, his brother have '2x+1'

So, x+ 2x+1=25

3x+1=25

3x=24

x=8

So, jack have 8 jellies and his brother have 2*8+1= 17 jellies.

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Answer:

vertical line of symmetry. if you split the shape in the middle, the two pieces would be the same. it also has rotational symmetry because if you rotate it, it would still look the same and be the same shape.

It does not have horizontal or diagonal symmetry because if you split it those ways, the two pieces made will be different. Because it has rotational and vertical symmetry, it does not have "no symmetry"

Answer:

[tex] sin \theta = \frac{\sqrt {19}}{10} [/tex]

Step-by-step explanation:

[tex] ( \sin \theta) ^{2} + ( \cos \theta) ^{2} = 1 \\ \\ \therefore \:( \sin \theta) ^{2} + { \bigg( \frac{{9} }{10} \bigg)}^{2}= 1 \\ \\( \sin \theta) ^{2} + \frac{81}{100}= 1 \\ \\ ( \sin \theta) ^{2} = 1 - \frac{81}{100} \\ \\ ( \sin \theta) ^{2} = \frac{100 - 81}{100} \\ \\ ( \sin \theta) ^{2} = \frac{19}{100} \\ \\ \sin \theta = \sqrt{\frac{19}{100} } \\ \\ \sin \theta = \frac{\sqrt {19}}{10} [/tex]

Answer:

d.937.50

Step-by-step explanation:

After each year it adds 5% so 5x5 is 25%

25% of $3,750 is $937.50

hope this helps :)

Answer:

The fourth one! (2,-8).

Answer:

you know that the coefficient of x is one so to find x the real equation is x+27= -12 so u cross over 27 to the right it will be -12-27=-39.

Answer:

1 1/2 mile or 6/4 mile

Step-by-step explanation:

Every half hour he rides 3/4

Just multiply 3/4 by 2 which equals 6/4 or 1 1/2

it is clearly impossible

It is impossible that the probability of rolling 15 with a pair of dice.

Probability refers to a possibility that deals with the occurrence of random events. The probability of all the events occurring need to be 1.

P(E) = Number of favorable outcomes / total number of outcomes

Required the probability of rolling 15 with a pair of dice.

But we know that in the roll of a pair of fair dice,

Then the sample space is as follows:

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

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

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

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

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

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

Hence, It is impossible that probability of rolling 15 with a pair of dice.

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Answer:

[tex]t=\sqrt{\dfrac{2s}{a}}[/tex]

Step-by-step explanation:

The given equation is :

[tex]s=ut+\dfrac{1}{2}at^2[/tex]

Where

s is displacement

u is the initial velocity

a is acceleration

t is time

If u = 0, the above equation become,

[tex]s=\dfrac{1}{2}at^2\\\\t^2=\dfrac{2s}{a}\\\\t=\sqrt{\dfrac{2s}{a}}[/tex]

Hence, the value of t is equal to [tex]\sqrt{\dfrac{2s}{a}}[/tex].

Given:

Three different integer addition expressions equal −5.

To find:

The three different integer addition expressions.

Solution:

We know that 0 is the identity element under addition. It means if we add 0 to a number we get the same number.

[tex](-5)+0=-5[/tex]

One expression is [tex](-5)+0[/tex].

The other expression are:

[tex](-6)+1=-5[/tex]

[tex](-7)+2=-5[/tex]

Therefore, the three different integer addition expressions that are equal to -5 are [tex](-5)+0,(-6)+1,(-7)+2[/tex].

Answer:

The answer is still 15. Because

Answer:

B C E on edge

Step-by-step explanation:

Answer:

correct answer BCE

Step-by-step explanation:

Answer:

just do 19.60/20 = 0.98$/lbs

hope that answers your question

Step-by-step explanation:

Answer:

Y= PV*(1 + g)^t

Step-by-step explanation:

Giving the following information:

Number of Restaurants (PV)= 2,000

Growth rate (g)= 3%

To calculate the number of restaurants after t years, we need to use the following formula:

Y= PV*(1 + g)^t

For example, for 10 years:

Y= 2,000*(1.03^10)

Y= 2,688

Answer:

Step-by-step explanation:

First you need the third angle (C).

<C + 89  + 45 = 180       All triangles = 180 degrees. Combine the left terms.

<C + 134 = 180               Subtract 134 from both sides

<C = 180 - 134

<C = 46

Next, Let BA = x

x/Sin(46) = 15/Sin(89)

x = 15*sin(46) / Sin(89)

Sin(46) = 0.7193

Sin(89) = 0.9998

x = 0.7193 * 15 / 0.9998

x = 10.7911

Note

When you are studying this material, you should note 2 things.

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Answer:

B

Step-by-step explanation:

opposite of ten is -10 and at least is grater that or equal to

Answer:

B is the correct answer

Step-by-step explanation:

Answer:

16h^2-4h-42

Step-by-step explanation:

4h times 4h is 16h^2

4h times -7 is -28h

4h times 6 is 24h

6 times -7 is -42

Combine like terms to get 16h^2-4h-42

Answer:

Oasis idiot and a good time in the day before

Answer:

tangent 59° = Tree height / 45 feet

Tree Height = 1.6643 * 45

Tree Height = 74.8935 Feet

Step-by-step explanation:

Answer(s):

[tex]\displaystyle y = 4sin\:(x + \frac{\pi}{2}) - 1 \\ y = 4cos\:x - 1[/tex]

Explanation:

[tex]\displaystyle y = Asin(Bx - C) + D \\ \\ Vertical\:Shift \hookrightarrow D \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \\ Amplitude \hookrightarrow |A| \\ \\ Vertical\:Shift \hookrightarrow -1 \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \hookrightarrow \boxed{-\frac{\pi}{2}} \hookrightarrow \frac{-\frac{\pi}{2}}{1} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \hookrightarrow \boxed{2\pi} \hookrightarrow \frac{2}{1}\pi \\ Amplitude \hookrightarrow 4[/tex]

OR

[tex]\displaystyle y = Acos(Bx - C) + D \\ \\ Vertical\:Shift \hookrightarrow D \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \\ Amplitude \hookrightarrow |A| \\ \\ Vertical\:Shift \hookrightarrow -1 \\ Horisontal\:[Phase]\:Shift \hookrightarrow 0 \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \hookrightarrow \boxed{2\pi} \hookrightarrow \frac{2}{1}\pi \\ Amplitude \hookrightarrow 4[/tex]

You will need the above information to help you interpret the graph. First off, keep in mind that although this looks EXACTLY like the cosine graph, if you plan on writing your equation as a function of sine, then there WILL be a horisontal shift, meaning that a C-term will be involved. As you can see, the photograph on the right displays the trigonometric graph of [tex]\displaystyle y = 4sin\:x - 1,[/tex] in which you need to replase "cosine" with "sine", then figure out the appropriate C-term that will make the graph horisontally shift and map onto the cosine graph [photograph on the left], accourding to the horisontal shift formula above. Also keep in mind that the −C gives you the OPPOCITE TERMS OF WHAT THEY REALLY ARE, so you must be careful with your calculations. So, between the two photographs, we can tell that the sine graph [photograph on the right] is shifted [tex]\displaystyle \frac{\pi}{2}\:unit[/tex] to the right, which means that in order to match the cosine graph [photograph on the left], we need to shift the graph BACK [tex]\displaystyle \frac{\pi}{2}\:unit,[/tex] which means the C-term will be negative, and perfourming your calculations, you will arrive at [tex]\displaystyle \boxed{-\frac{\pi}{2}} = \frac{-\frac{\pi}{2}}{1}.[/tex] So, the sine graph of the cosine graph, accourding to the horisontal shift, is [tex]\displaystyle y = 4sin\:(x + \frac{\pi}{2}) - 1.[/tex] Now, with all that being said, in this case, sinse you ONLY have a graph to wourk with, you MUST figure the period out by using wavelengths. So, looking at where the graph hits [tex]\displaystyle [0, 3],[/tex] from there to [tex]\displaystyle [2\pi, 3],[/tex] they are obviously [tex]\displaystyle 2\pi\:units[/tex] apart, telling you that the period of the graph is [tex]\displaystyle 2\pi.[/tex] Now, the amplitude is obvious to figure out because it is the A-term, but of cource, if you want to be certain it is the amplitude, look at the graph to see how low and high each crest extends beyond the midline. The midline is the centre of your graph, also known as the vertical shift, which in this case the centre is at [tex]\displaystyle y = -1,[/tex] in which each crest is extended four units beyond the midline, hence, your amplitude. So, no matter how far the graph shifts horisontally, the midline will ALWAYS follow.

I am delighted to assist you at any time.

Answer:

1/4

Step-by-step explanation:

There are 4 slices

3 of the 4 slices has pepperoni

4-3=1

There is 1 slice without pepperoni, making 1/4th of the pizza pepperoniless.

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