at most, how many references in this line could be null and might cause the nullpointerexception to be thrown?

For a diamond having volume 161 mm³, the value for side length is 7 mm.

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. It is sometimes referred to as the object's capacity.

The formula for volume of diamond is given as -

V = 0.47 s³

Here, s represents the side length of each edge.

The value for volume of diamond is given as -

Volume = 161 mm³

Plug in the values in the equation -

Volume = 0.47 s³

161 = 0.47 s³

s³ = 161 / 0.47

s³ = 342.553

s = ∛342.553

s = ∛342.553

s = 6.996 mm

Therefore, the side length measures 6.996 ≈ 7 mm.

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The required (0,4) after dilation with a scale factor of 1/3  is (0, 4/3). Option C is correct.

The scale factor is defined as the ratio of the modified change in length to the original length.

here,
Since let the coordinate before dilation be (x, y),
Now when applying the scale factor to the coordinate, the transformation equation is given as,
(X, Y) = (sx , sy)  where s is the scale factor,

Since matching the above equation with the option,

(3.0) dilated by a scale factor of 1/3 a (0, 6) (False)
(3,4) dilated by a scale factor of 1/3 scale factor b (1,0)  (False)
(0,4) after dilation with a scale factor of 1/3 is  (0, 4/3)  (True)

Thus, the required (0,4) after dilation with a scale factor of 1/3  is (0, 4/3). Option C is correct.

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The percent will the fraction decrease should be 80%.

Important information:

In the case when its numerator is decreased by 85% and its denominator is decreased by 25%

Calculation of percentage:

= (100-85) ÷ (100 - 25)

=  15%÷ 75%

= 20%

Now the decrease in percentage should be

= 100% - 20%

= 80%

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The correct answer is 80%

[tex]x^{\frac{8}{15} }[/tex] is the value of yz when x=y⁵=z³  and x is positive.

Two or more expressions with an Equal sign is called as Equation.

Since x=y⁵=z³

Solve for yz as follows:

we can take the fifth root of x to get y, and the cube root of x to get z:

We can solve for yz as follows:

[tex]y=x^{\frac{1}{5} }[/tex]

[tex]z=x^{\frac{1}{3} }[/tex]

Now yz=[tex]x^{\frac{1}{5} }.x^{\frac{1}{3} }[/tex]

=[tex]x^{\frac{8}{15} }[/tex]

Hence, option A is correct, if  x=y⁵=z³  then yz is [tex]x^{\frac{8}{15} }[/tex]

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The value of a is obtained as follows:

a = 5.

The slope-intercept definition of a linear function is given as follows:

y = mx + b.

In which:

When two lines are perpendicular, the multiplication of their slopes is of -1.

Then the equation to obtain the value of a is given as follows:

0.5(1 - a) x 0.5 = -1.

0.25(1 - a) = -1

1 - a = -4

a = 1 + 4

a = 5.

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The linear function modeled by the table is given as follows:

y = 2x - 5.

The slope and the intercept are given, respectively, by:

m = 2, b = -5.

The slope-intercept definition of a linear function is given as follows:

y = mx + b.

In which:

From the table, when x increases by 5, y increases by 10, hence the slope m is given as follows:

m = 10/5

m = 2.

Hence:

y = 2x + b.

When x = 3, y = 1, hence the intercept b is given as follows:

1 = 6 + b

b = -5.

Hence the function is:

y = 2x - 5.

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The size of angle BCA is 45 degrees

From the question, we have the following parameters that can be used in our computation:

AB = BC and AD = DC = AC

Also, we have

ABC = 90 degrees

Considering the triangle ABC, we have

A + B + C = 180

This is so because the sum of angles in a triangle is 180 degrees

Using the above as a guide, we have the following:

A + 90 + C = 180

So, we have

A + C = 90

Given that

AB = BC

We have

2C = 90

C = 45

Hence, the angle is 45 degrees

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Complete question

ABCD is a kite with AB = BC and AD = DC = AC, What is the size of angle  BCA

The probability that a student ordered a hamburger and a Slurpee is Option D) 23 over 137.

Generally, To find the probability that a student ordered a hamburger and a Slurpee, we need to divide the number of students who ordered a hamburger and a Slurpee by the total number of students.

From the table, we can see that 23 students ordered a salad and a water.

There were a total of 38 + 12 + 14 + 18 + 28 + 7 + 23 = 137 students in the cafeteria.

Therefore, the probability that a student ordered a salad and a water is 23/137, or about 0.17.

Therefore, the correct answer is d) 23 over 137.

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Check the picture below.

[tex]\cfrac{8^2}{6^2}~~ = ~~\cfrac{A_1}{A_2}\implies \cfrac{8^2}{6^2}~~ = ~~\cfrac{A_1}{(36)}\implies \cfrac{8^2(36)}{36}=A_1\implies 8^2=A_1\implies \stackrel{ mm^2 }{64}=A_1[/tex]

Answer:

142 degrees

Step-by-step explanation:

since line GJ is a straight line, its angle measure is 180 degrees. The measure of angle HZJ is 38. Angle HZJ and angle HZG are supplementary, which means their angle measures add up to 180 degrees. So,

180-38=142.

Hope this answer helps!! :D

The expression to represent the total volume of the two storage spaces is s³+12.

Volume is the measure of the capacity that an object holds.

Formula to find the volume of the object is Volume = Area of a base × Height.

Given that, the edge of the large cube s feet and the volume of the small cube is 12 ft³.

We know that, the formula to find the cube is side³.

Volume of large cube = s×s×s

= s³

Total volume of the two storage spaces =s³+12

If edge of large cube is 4 feet long, then the volume is

4³ = 64 ft³

Therefore, the expression to represent the total volume of the two storage spaces is s³+12.

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Answer:

= 74cm²

Step-by-step explanation:

Perimeter of a rectangle

[tex] = 2(l) + 2(w)[/tex]

therefore

= 2(18) + 2(19)

= 36 + 38

= 74cm².

We know that RS is parallel to PQ by comparing RS and PQ and both vector have the same value and hence prove to be parallel.

We know that R, S, Q and P are midpoints of OC, CB, BA and OA, and we are given that OR = a, CS = b and OP = c

we have to prove that RS is parallel to PQ,

therefore we need to find, PQ = PA + AQ,

= c - c + a + b = a + b,

since we get that  PA = OP = c

therefore when we compare RS and PQ ,we get,

RS  =  PQ = a + b

now that it is clear that both the vectors are same and have the same value we can conclude that they are parallel.

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The probability of obtaining a random sample of 75 units from a production process where the true fraction of nonconforming product is 0.01 is extremely high. This is because 0.01 is an extremely low fraction, meaning that out of the 75 units in the sample, only 0.75 would be expected to be nonconforming.

The probability that the fraction of nonconforming product is exactly 0.01 (with 0.75 nonconforming units out of 75) can be calculated using the binomial distribution. This distribution assumes that each unit has an independent probability of being nonconforming, and that this probability is the same for each unit. The probability that the sample will have exactly 0.75 nonconforming units out of 75 is 0.907.

Thus, the probability that the true fraction of nonconforming product is exactly 0.01 is very high, and it is likely that a random sample of 75 units drawn from the production process will have a fraction nonconforming that is close to 0.01.

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The value of x by using vertical angles is 4, and the measure of angle R is 34°

Vertical angles are angles that are formed and are opposite of each other when two lines intersect. Vertical angles are congruent angles, it implies that they exhibit the same angle measure. Vertical here refers to the fact that they have the same Vertex (corner point).

From the information given:

6x + 10 = 8x + 2

6x - 8x = 2 - 10

-2x = -8

x = -8/-2

x = 4

The measure of angle R = 6x + 10

= 6(4) + 10

= 24 + 10

= 34°

Therefore, we can conclude that the measure of angle R is 34°

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Proportion of participants prefer cheese pizza is 0.35 from the sample of 100 students was randomly selected.

A sample of 100 students was randomly selected from a middle school in a large city. These participants were asked to select their favorite type of pizza: pepperoni, cheese, veggie or Hawaiian pizza

The number of males who prefers chess pizza is 18.

The number of females who prefers chess pizza is 17.

The total number of students who prefer chess pizza is 18 + 17 = 35.

The total number of students is 100.

The proportion of students who prefers chess pizza is 35/100 = 0.35

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The correct option for a parabola with given details is D i.e. A curve declines through (negative 1, 6), (0, 4), (1, 2), (2, 1), (4, 0) and (6, 1) on the x y coordinate plane.

What exactly is a parabola?

A parabola is a U-shaped plane curve in which any point is an equal distance from both a fixed point (known as the focus) and a fixed straight line (known as the directrix).

In general, if the directrix is parallel to the y-axis, the typical parabola equation is: y² = 4ax.

If the parabola is sideways, i.e., the directrix is parallel to the x-axis, the conventional parabola equation is x² = 4ay.

Aside from these two, if the parabola is in the negative quadrants, the equation can also be y²= -4ax and x² = -4ay.

Now,

The Graph is drawn for option D in the image and it matches the

details provided in the question.

Hence,

           The correct option for a parabola with given details is A curve declines through (negative 1, 6), (0, 4), (1, 2), (2, 1), (4, 0) and (6, 1) on the x y coordinate plane.

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Dividing with an area model and multiplying with an area model are similar in that they both involve partitioning a rectangular area into smaller parts.

However, dividing with an area model involves starting with the total area and then dividing it into equal parts to find the size of each part. For example, to divide 12 by 3, we could draw a rectangle with an area of 12 and then partition it into 3 equal parts to find that each part has an area of 4.

Multiplying with an area model involves starting with the size of the smaller parts and then combining them to find the total area. For example, to multiply 3 by 4, we could draw a rectangle with a width of 3 and a height of 4 and then calculate the area of the rectangle as 12.

So, while both methods involve using an area model, dividing starts with the total area and finds the size of the parts, while multiplying starts with the size of the parts and finds the total area.

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Answer:

Step-by-step explanation:

$7.75/6= $1.29

$8.33/7= $1.19

$10.45/9= $1.16

The better deal in the 9 candy bars for $10.45 because its only $1.16 PER candy bar.

The value of x and y is 13.5 and 7.

we have two set of equations as follows,

x + y = 20.5     ....[1]

x - y = 6.5       .....[2]

from equation [1] we have,

x +y = 20.5

x = 20.5 - y       .....[3]

put the value of x in equation [2]

x - y = 6.5

20.5 - y -y = 6.5

20.5 - 2y = 6.5

now like terms together ,

-2y = 6.5 -20.5

-2y = -14

now the minus sign cancel by each other,

2y = 14

y = 14/2

y = 7

now, put the value of y in equation [1]

x +y =20.5

x + 7 = 20.5

x = 20.5 - 7

x = 13.5

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The farmer needs to purchase 66 feet of fencing to enclose the rectangular region.

Let's call the length of the side of the rectangle that is parallel to the barn "2x" (since it is twice the length of the adjacent side), and let's call the length of the adjacent side "x". The length of the side opposite the barn is also "x", since it is opposite to the adjacent side.

We know that the area of the rectangle is 242 ft^2. The formula for the area of a rectangle is:

area = length * width

So we can write an equation for the area of the rectangle in terms of "x":

242 = 2x * x

Simplifying this equation, we get:

242 = 2x²

Dividing both sides by 2, we get:

121 = x²

Taking the square root of both sides, we get:

11 = x

So the adjacent side of the rectangle is 11 feet, and the side parallel to the barn is twice as long, or 22 feet.

To find the amount of fencing needed, we need to add up the lengths of all three sides that are not parallel to the barn. The formula for the perimeter of a rectangle is:

perimeter = 2 * length + 2 * width

Since one of the sides is the barn, we only need to add up the lengths of the two sides opposite the barn:

Perimeter = 2 * length + 2 * width

Therefore, the farmer needs to purchase 66 feet of fencing to enclose the rectangular region.

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Step-by-step explanation:

suppose you brought 45 shares of telecommunications company 4 years ago at a price of $63.00 per share. you just sold it for $71.50 per share. how much did you make

A 1/2

its just like you have 1 cookie and 2 apples whats the ratio to cookies from apples

Answer:

20×5=100

380-100=280

280÷120=2 and 40 remain

40÷20=2

The probability of flipping a heads on the coin and rolling a 5 on the die is 1/12 if a coin is flipped and die is rolled once.

The sample space for the coin toss is  {H,T}, so there are two possible outcomes. The favorable one is  H.

The probability of flipping a heads on the coin is equal to 1/2.

Die has six faces, meaning six possible outcomes, but we’re only interested in one of those outcomes: that roll of a 5. That means that only 1 in 6 outcomes is desirable and we can write it as  1/6

The probability of rolling a 5 on the die is equal to 1/6.

Since a coin is flipped and die is rolled independently, the joint probability is a product of above probabilities.

Therefore, the probability of flipping a heads on the coin and rolling a 5 on the die equals

[tex]\frac{1}{2} \times \frac{1}{6}\\= \frac{1}{12}[/tex]

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The amount in the account after 8 years will be $352.05.

Compound interest is when you receive interest on both your interest income and your savings.

Given:

P = $300

R= 2%

T = 8 years

We have to use the function

A = P[tex]e^{rt[/tex]

A = 300.00[tex](2.71828)^{(0.02)(8)[/tex]

A = $352.05

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Answer:

y

Step-by-step explanation: People there: S (Seti), A, B, C, D, E, F, G, H, I, J

friend group:

S is friends with A, B

A is friends with B, C

B is friends with C, D

C is friends with D, E

E is friends with F, G

F is friends with G, H

G is friends with H, I

H is friends with I, J

I is friends with J, S

J is friends with S, A

Answer:

Yes, it is possible

Step-by-step explanation:

Think the people as points in space and the friendship between two people as a line connecting two points.

Then the question is equivalent to asking whether it is possible for all 11 points being connected by lines such that every point is connected to exactly three other points.

Clearly this is possible, since we always have, for each point, ten other points to connect it to, so we can select any three of the ten.