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Answer: The Answer is A

Step-by-step explanation:

Answer:

1512

189 in³

Step-by-step explanation:

Here is the complete question

A toy company is packaging its toys to be shipped. Each small toy is placed inside a cube-shaped box with side lengths of 1/2 in. These smaller boxes are then placed into a larger box with dimensions of 12 in. × 4 1/2 in. × 3 1/2 in.

a. What is the greatest number of small toy boxes that can be packed into the larger box for shipping?

b. Use the number of small toy boxes that can be shipped in the larger box to help determine the volume of the shipping box

A. greatest number of small toy boxes that can be packed into the larger box for shipping = volume of larger box / volume of smaller box

volume of larger box = length x width x height = 12 in. × 4 1/2 in. × 3 1/2 in = 189 in³

volume of smaller box = volume of a cube = side length³ = [tex]\frac{1}{2}[/tex]³ = 1/8 in³

189 ÷[tex]\frac{1}{8}[/tex] = 189 x = 1512

b. 1/8 x 1512 = 189 in^3

Answer:

Answer attached

Step-by-step explanation:

Midpoint of AB = (1,0)

Let's check

midpoint of AB

Answer:

Vertex of the parabola is (2,3)

Step-by-step explanation:

The parabola is a negative, it opens down and the maximum place it can reach is 3 (y).

Is there arc length or may be radius

Answer:

1.) 2x + 6

2.) 10x - 20

3.) 8x - 16

4.) 6x - 24y

Hope this helps!

I believe that you would need to distribute the numbers outside of the parentheses (2,5,4,6) into the parentheses.

2(x+3)=

2x+6

5(2x-4)=

10x-20

4(2x-4)=

8x-16

6(x-4y)=

6x-24y

Answer:

B & F

Step-by-step explanation:

(±√14 - 4)/3 =>

(√14 - 4)/3 or (-√14-4)/3

Answer:

4.8

Step-by-step explanation:

Answer:

4.8%

Step-by-step explanation:

to do this create a ratio and cross-multiply

[tex]\frac{60}{1240} = \frac{x}{100}[/tex]

now that we have a our ratio, where x = the percent of poisonous trees, we can cross-multiply and solve to find its value

cross-multiplying leaves you with

[tex]1240x=6000[/tex]

now solve for x, dividing both sides of your equation by 1240

once you've divided, you should be left with

[tex]4.8[/tex]

since this number is already out of 100, it is equivalent to your percent, so slap a percent sign on the end and you're done!

Answer:

D

Step-by-step explanation:

Simply put 0 in the equations and see if it's true then put -2 instead of x and see if it matches. this is the easiest way.

Answer:

pic monga ulit ang labo kasi wh

Answer:

2%

10%

66%

22%

Step-by-step explanation:

For the first one we just need to find the compliment of the union (.98) which is .02

Union formula:

A∪B=A+B-A∩B

We will let T= text and D= diagram

we know that

.98=.88+.32-T∩D

Solve and find that T∩D= .22

Only diagram: .32-.22= .1

Only text: .88-.22= .66

Text and diagrams is the intersection we found earlier or .22

Answer:

3

Step-by-step explanation:

y = 3x + 1

This is in slope-y-intercept form: y = mx + c

Gradient = m = 3

The answer is....................................................

Answer:

N= 5

Step-by-step explanation:

30 ÷ 6 = n

n = 5

30 ÷ 6 = 5

Hope this helps!!

Answer: (b)

Step-by-step explanation:

Given

[tex]\left | p\right |=\dfrac{2}{5}x+2[/tex]

[tex]\left | q\right |=\dfrac{-3}{4}x-1[/tex]

[tex]\left | p+q\right |=2x+4[/tex]

for two complex number, [tex]z_1,z_2[/tex]

[tex]\left | z_1+z_2\right |\leq \left | z_1\right |+\left | z_2\right |[/tex]

Apply the above the property

[tex]\Rightarrow 2x+4\leq \dfrac{2}{5}x+2-\dfrac{3}{4}x-1\\\\\Rightarrow 2x+4\leq \dfrac{8x-15x}{20}+1\\\\\Rightarrow 2x+3\leq -\dfrac{7x}{20}\\\Rightarrow x\leq -\dfrac{60}{47}[/tex]

Also, the absolute value of each complex number must be greater than or equal to zero

[tex]\text{Case-1}\\\\\Rightarrow \dfrac{2}{5}x+2\geq 0\\\\\Rightarrow x\geq -5\\\\\text{Case-2}\\\\\Rightarrow -\dfrac{3}{4}x-1\geq 0\\\\\Rightarrow x\leq -\dfrac{4}{3}\\\\\text{Case-3}\\\\\Rightarrow 2x+4\geq 0\\\Rightarrow x\geq -2[/tex]

Taking the intersection of the above values of x, we get

[tex]x\in [-2,-\dfrac{4}{3}][/tex]  

Answer:

x=5.886 , x=1.614

Step-by-step explanation:

Given data

2w^2 - 15w + 19 = 0

a= 2

b= -15

c= 19

The expression for the Quadratic Formula is

x=(-b±√(b²-4ac))/(2a)

substitute

x=(-(-15)±√((-15)²-4*2*19))/(2*2)

x=(15±√225-152))/(4)

x=(15±√73))/(4)

x=(15±8.544))/(4)

x=(15+8.544))/(4) , x=(15-8.544))/(4)

x=23.544/4 , x=6.456/4

x=5.886 , x=1.614

Answer:

The  median of the distribution is (first option);

1

Step-by-step explanation:

The values on the given table are presented as follows;

[tex]\begin{array}{cccccc}Value \ of \ Spin&0&1&2&5&10\\Probability&0.4&0.2&0.2&0.1&0.1\end{array}[/tex]

To find the median, we calculate the cumulative probabilities to find the value of the spin art which the cumulative probability is 0.5 as follows;

Cumulative probability, starting from the left, is therefore;

Probability for spin of 0, 0.4 + Probability for spin of 1, 0.2 = 0.6

Therefore, given that the probability of 0.5 occurs within the Value of Spin 1, the median of the probability distribution is 1

The median value of the distribution of X is 1

The cumulative probability of the distribution is:

[tex]\sum E(x) = 1[/tex]

The median position is calculated as:

[tex]Median = \frac{\sum E(x)}{2}[/tex]

This gives

[tex]Median = \frac{1}{2}[/tex]

Median = 0.5 th

This mean that the median is at the 0.5th position

The value of the spin at the 0.5th position is 1

Hence, the median value of the distribution of X is 1

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Explanation:

The notation [tex]a_1[/tex] refers to the first term. So the first term is 21.

The d = -3 is the common difference. It's the value we add onto any given term to get the next following term.

We can say:

second term = (first term) + (common difference)

second term = [tex]a_1 + d[/tex]

second term = 21 + (-3)

second term = 18

Through similar steps, you should find that the third term is 15, the fourth is 12, and so on. Each time we decrease by 3.

The arithmetic sequence would be: 21, 18, 15, 12, 9, ...

The first three terms are 21, 18, and 15.

Answer:

26.903

Step-by-step explanation:

a = 77 m

b = 72 m

c = Distance between the tugboats = 35 m

Answer:

I would say A. as a best guess but the question is odd it does not add up to 101 students it adds up to 101 plus all of them are female juniors so they would be picked every time it would be 101/101

Answer: D: x^2=(6-10)^2/10 + (32-30)^2/30 + (12-10)^2/10

Step-by-step explanation: The formula for the chi-squared test is summation: (observed-expected)^2/expected. The observed value in this case would be the counts we received from the random sample (6 dark, 32 milk, 12 white). The expected value can be calculated by taking the percentages given in the problem and multiplying them by 50 (0.20x50=10 dark , 0.60x50=30 milk , 0.20x50=10 white).

Answer:

Step-by-step explanation:

g

Answer: G

Step-by-step explanation: hope this helps!

Answer:

x=4000

Step-by-step explanation:

Answer:

4,000 = x

Step-by-step explanation:

40,000 = 10x

=> Divide 10 to each side of "="

40,000/10 = x

4,000 = x

Hope this helps!

Answer:

- 4.2x - 6y + 3.6

Step-by-step explanation:

- 2(2.1x + 3y - 1.8)

- 4.2x - 6y + 3.6

Answer:

-4.2x+6y-2.16

Step-by-step explanation:

multiply everything by -2

Answer:

The answer is C!

Step-by-step explanation:

Answer:

probably 5 because thats half of 10 i guess

Step-by-step explanation:

Answer:

<3 and <4

Step-by-step explanation:

Answer:

big spoon

Step-by-step explanation:

The Big spoon liquid volume is best measured in milliliters.

Given that;

The objects are,

''Bathtub, Milk carton, big spoon or small fish tank''.

We have to find the best objects liquid volume to measured in milliliters.

How to find the appropriate unit for measurement?

Normally we use those measurements which are whole numbers mostly and if not, then not too much long after decimal and not much big numbers.

The volume of Bathtub, Milk carton, and small fish tank is more than the volume of big spoon.

And, The volume of liquid in Bathtub, Milk carton, and small fish tank is has usually measured in liters because it contain more liquid in comparison Big spoon.

Volume of liquid in a big spoon is measured suitably if we use milliliter. It is because the big spoon contains liquid with volume few milliliters or few hundred milliliters.

Hence, We use milliliters for measuring liquid in big spoon.

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