A 9 foot long section of Kryptonite weighs 1673 pounds. What is the weight of a 1 foot long section of a Kryptonite?

The total amount the man had = 52,200 rupees. Out of this, he gave 21,750 rupees to his son, 13,050 rupees to his daughter, and 17,400 rupees to his wife , the total amount given away by the man = 21,750 + 13,050 + 17,400 = 52,200 rupees.

A man gave 5/12 of his money to his son, 3/7 of the remainder to his daughter, and the remaining to his wife. If his wife gets Rs. 8,700, what is the total amount?

The given problem can be solved using the concept of ratios and fractions. Let us solve the problem step-by-step.Assume the man had x rupees with him.The man gave 5/12 of his money to his son.

The remaining amount left with the man = x - 5x/12= (12x/12) - (5x/12) = (7x/12)The man gave 3/7 of the remainder to his daughter.'

Amount left with the man after giving it to his son = (7x/12)The amount given to the daughter = (3/7) x (7x/12)= (3x/4)The remaining amount left with the man = (7x/12) - (3x/4)= (7x/12) - (9x/12) = - (2x/12) = - (x/6) (As the man has given more money than what he had with him).

Therefore, the daughter's amount is (3x/4) and the remaining amount left with the man is (x/6).The man gave all the remaining amount to his wife.

Therefore, the amount given to the wife is (x/6) = 8700Let us find the value of x.x/6 = 8700 x = 6 x 8700 = 52,200

Therefore, the man had 52,200 rupees with him.He gave 5/12 of his money to his son. Therefore, the amount given to his son is (5/12) x 52,200 = 21,750 rupees.

The remaining amount left with the man = (7/12) x 52,200 = 30,450 rupees.He gave 3/7 of the remainder to his daughter. Therefore, the amount given to his daughter is (3/7) x 30,450 = 13,050 rupees.

The amount left with the man = (4/7) x 30,450 = 17,400 rupees.The man gave 17,400 rupees to his wife.
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There are 3 dοοrs and 4 curtains behind each dοοr, sο the tοtal number οf chοices pοssible fοr the player is 3 x 4 = 12.

The first chοice is tο pick a dοοr, and there are 3 dοοrs tο chοοse frοm.

The secοnd chοice is tο pick a curtain behind the chοsen dοοr, and there are 4 curtains behind each dοοr. Sο, the player has 4 chοices fοr the curtain behind the chοsen dοοr.

Carnival is a Western Christian festive seasοn that οccurs befοre the liturgical seasοn οf Lent. The main events typically οccur during February οr early March, during the periοd histοrically knοwn as Shrοvetide (οr Pre-Lent). Carnival typically invοlves public celebratiοns, including events such as parades, public street parties and οther entertainments, cοmbining sοme elements οf a circus.

Elabοrate cοstumes and masks allοw peοple tο set aside their everyday individuality and experience a heightened sense οf sοcial unity. Participants οften indulge in excessive cοnsumptiοn οf alcοhοl, meat, and οther fοοds that will be fοrgοne during upcοming Lent. Traditiοnally, butter, milk, and οther animal prοducts were nοt cοnsumed "excessively", rather, their stοck was fully cοnsumed during Shrοvetide as tο reduce waste. This festival is knοwn fοr being a time οf great indulgence befοre Lent (which is a time stressing the οppοsite), with drinking, οvereating, and variοus οther activities οf indulgence being perfοrmed.

The first chοice is tο pick a dοοr, and there are 3 dοοrs tο chοοse frοm.

The secοnd chοice is tο pick a curtain behind the chοsen dοοr, and there are 4 curtains behind each dοοr. Sο, the player has 4 chοices fοr the curtain behind the chοsen dοοr.

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Answer:

(2z)^3 = 2^3*z^3

8*z^3

Answer:

\(8z {}^{3} \)

Step-by-step explanation:

\(in \: simplifying \: the \: above \\ \\ (2z) {}^{3} = 2 \times 2 \times 2 \times z {}^{3} \\ = 8z {}^{3} \)

Answer:

-2

Step-by-step explanation:

\(\frac{f(b)-f(a)}{b-a}\\ \\=\frac{f(-1)-f(-4)}{-1-(-4)}\\ \\=\frac{-4-2}{-1+4}\\ \\=\frac{-6}{3}\\ \\=-2\)

Therefore, the average rate of change over the interval [-4,-1] is -2.

Answer:

angle a: 70°

angle d: 70°

angle dce: 35°

x: 15m

y: 14m

Step-by-step explanation:

all triangles add to 180° so 35 + 75 = 110 and 180-110 = 70

where the two triangles connect and cross, the angles will be the same so it will have the same angle measures as the first triangle which makes the triangles similar

knowing that they are similar triangles will help with figuring out the lengths of the sides.

since they are similar, their sides will be proportional, we just need to figure out the ratio

if we lay the triangles on top of each other, the two 75° angles match up and therefore the sides do too so we can make a fraction 12/18 = 10/x

now we can solve for x

multiply both sides by x

12x/18 = 10

now multiply both sides by 18

12x = 180

divide both sides by 12

x = 15

now we do the same for y

12/18 = y/21

12*21/18 = y

y = 14

hope this helps!

Answer:

bias

Step-by-step explanation:

the wording of the question may be misleading. the way the question is phrased influences the way the person who is being surveyed answers.

The wording of the questions can introduce (C) Bias.

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Answer:

49 + 28 = 7(7 + 4)

Step-by-step explanation:

49 bags of soil one week

28 bags of soil the next week

49 + 28 bags of soil purchased in total

Find the GCF (Greatest Common Factor) of 49 and 28.

49/7 = 7

28/7 = 4 (GCF is 7 since it is the largest number that can divide both 49 and 28 equally)

Factor out the GCF + rewrite division above (optional for visualization)

49/7 = 7 -> 49 = 7 * 7

28/7 = 4 -> 28 = 7 * 4

49 + 28 = 7(7 + 4)

Let me know if you have any questions!

Answer: 40 pupils

Step-by-step explanation:

 35           14

-------   =   --------

100             ?

find the denominator.

multiply 14 and 100:

14 x 100 = 1400

divide 1400 by 35

1400/35 = 40

Therefore there are 40 students

The point (x,y) that satisfies the given system of inequalities is (c) (-3, -1)

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

The graph of the system of inequalities (see attachment)

The system of inequalities is also given as

y > x - 2

y > 2x + 2

Next, we test the options

We see that the points (1,-6) , (-1,-6) , (3,-1) do not lie in the feasible region i.e. the unshaded region

So the points (1,-6) , (-1,-6) , (3,-1) do not satisfy the inequalities

Only the point (-3,-1) lies in the shaded region

Hence, the point (x,y) that satisfies the given system of inequalities is (c) (-3, -1)

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Answer:

I got B and C.

Step-by-step explanation:

When you rotate by 180° you turn it so that it is facing the other way (ie D is B, C is A, etc) since it's a rectangle, when you rotate by 180°, you still have the same rectangle with angles in the same corners. when you reflect across the midpoint, you are just flipping your rectangle over, and so would again have the same effect as turning it 180°.

Given:

f={(-2,-1),(2,-2),(-1,4)}

g={(4,-3),(-5,1),(-2,-4)}

The line connecting the points on the graph is shown below:

From it we notice that to get to the first point of the lineto the second we need to:

• Move down 6 squares; since each square has a length of 2 units this means that we move 12 units down.

• Move 5 units to the right.

Therefore, we have that:

and that:

Answer:

The impulse on an object is equal to the change in momentum of the object. In this case, the ball's initial momentum is 10 kg * 15 m/s = 150 kg m/s. After the collision, the ball's final momentum is -10 kg * 23 m/s = -230 kg m/s.

The change in momentum of the ball is: -230 kg m/s - 150 kg m/s = -80 kg m/s.

So, the impulse on the ball is -80 kg m/s.

Answer:

a

Step-by-step explanation:

Answer:

x - 4 yards.

Step-by-step explanation:

Given:

Area of rectangle = 3x^2 - 12x square yards

Width = 3x yards

To find:

Length of rectangle

Solution:

The area of a rectangle is equal to the product of its length and width.

Area of rectangle = Length * Width

Substituting the given values, we get:

3x^2 - 12x = Length * 3x

Length =( 3x^2 - 12x )3x

Length = x-4

Therefore, the length of the rectangle is x - 4 yards.

Answer: The length of the rectangle is x - 4 yards.

Step-by-step explanation:

We can create an equation to solve this word problem, where the variable L = length.

3x  ×  L  = \(3x^2 - 12x\)

We need to solve for the variable L, to find the length of the rectangle.

First lets factor the right side of the equation to make it easier to divide with.

3x  ×  L  = \(3x^2 - 12x\)

We can factor out 3x from the right side of the equation.

3x  ×  L  = 3x(x - 4)

Now we need to get the variable L by itself (isolating the variable). In order to do that, we can divide both sides by 3x.

3x ×  L  = 3x(x - 4)

/3x           /3x

L = x - 4

The length of the rectangle is x - 4 yards.

Answer:120

Step-by-step explanation:

Answer: 50 per hour

Step-by-step explanation:

400 divided by 8 is 50

Answer: change 9x and 5x

Step-by-step explanation:

Answer:

cross multiple

17×f=34×7

17f/17=578/17

f=34

Answer:31.42

Step-by-step explanation:

C=2πr=2·π·5≈31.41593

70 + 2x > 100 is an inequality to represent this situation.

In mathematics, inequalities specify the connection between two non-equal numbers. Equal does not imply inequality. Typically, we use the "not equal sign ()" to indicate that two values are not equal. But several inequalities are utilized to compare the numbers, whether it is less than or higher than.

Given, At a local pizza shop, the delivery person earns $2 for every pizza delivered, plus $70 per day.

Let "x" be the number of pizzas he delivers

Thus, the Total money he earns by delivering pizza = 70 + 2x

To earn more than 100$ inequality represents

70 + 2x > 100

So,

2x > 30

x > 15

Therefore, to earn more than 100$ every day he needs to deliver at least 15 pizzas.

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The solution to the question is mathematically given as

1)

H0: M \(\geqslant\) 300

H0: M \(\geqslant\) 300

2)

Z distribution.

3)

z=-2.4

4)

P=0.0082

5)

"H0" is rejected as a hypothesis with a level of significance of 0.05.

Generally, the equation for is mathematically given as

Solutions

we have, \($u=300$$$\begin{aligned}& \sigma=150 \text { dollars } \\N &=64 \text { individuals } \\\bar{x} &=255 \text { dollare. } \\a=& 0.05 .\end{aligned}\)

(1):

H0: M \(\geqslant\) 300 dollars;  customers save at least 300 dollars per year by switching to them.

H0: M \(\geqslant\) 300 dollars:

(This is a left-tailed test)

(2):

when \(\sigma\) is known, we use the Z test. we use Z distribution.

(3):

\(\begin{gathered}z=\frac{\bar{x}-\mu}{6 / \sqrt{n}}=\frac{255-300}{150 / \sqrt{64}}=\frac{-45}{18.75}=-2.4 \\z=-2.4\end{gathered}\)

(4):

\(Pvalue $=P(z < -2 \cdot 4)$ $=0.0082 \quad\{$ wing $z$ tables $\}$ \\\\\text { Pvalue }=0.0082\)

(5):

In conclusion, Since p-value = 0·0082 <0.05

This is statistically significant at the 0.05 level.

We thus "Refect H0" using a threshold of significance of 0.05.

"H0" is rejected as a hypothesis with a level of significance of 0.05.

There is not enough data to support the assertion that consumers may save at least $300 annually by switching insurance providers.

Therefore, we would not consider making the transition to this firm.

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Step-by-step explanation:

1)

180-68-41= 71°

2)

180-47-16=117

5)

m<1= 180-68-77= 35°

m<2= 77°

m<3 = 180-90-41= 49°

m<4 = 180-41-62= 77°

m<5= 90-28= 62°

m<6= 180-49-103= 28°

A. The following are sets A and B:

A = {2, 3, 5, 7, 11}

B = {1, 2, 3, 4, 6, 12}

C. Elements not in A or A' = ∅

B. The Venn diagram is attached

A universal set is a set which consists of all elements related to the given sets. It is denoted by U.

A. Set A:

A = {2, 3, 5, 7, 11}

Set B:

B = {1, 2, 3, 4, 6, 12}

U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12}

A' = {1, 4, 6, 8, 9, 10, 12}

C. Elements not in A or A' = ∅

Complement of set A is refers to a set that contains the elements present in the universal set but not in set A.

Hence, the Venn diagram of sets A, B and U has been attached.

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The y-intercept of the line of fit is approximately 43.94 fluid ounces.

What is Probability ?

Probability can be defined as ratio of number of favourable outcomes and total number of outcomes.

The answer is 35. If the theoretical probability of drawing two yellow socks is one fifth, then the experimental probability of drawing two yellow socks in one trial with replacement is also one fifth. Therefore, out of 175 trials, the number of times he will select two yellow socks can be predicted by multiplying the number of trials by the experimental probability: 175 * (1/5) = 35.

No, because for each input there is not exactly one output. The relation is not a function because for the input x = -5, there are two possible outputs: y = 1 and y = -1. Therefore, the relation violates the vertical line test, which requires that every vertical line intersects the graph at most once for the relation to be a function.

The y-intercept of the line of fit is approximately 43.94 fluid ounces. To find the y-intercept, we can look at the point where the line of fit intersects the y-axis (i.e., when x = 0). From the equation of the line of fit, we can see that the y-coordinate when x = 0 is approximately 43.94, which represents the initial amount of diet soda in the machine before it starts to be purchased.

Therefore,  The y-intercept of the line of fit is approximately 43.94 fluid ounces.

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The value of y is 18

Similar triangles have the same corresponding angle measures and proportional side lengths. The angles of the two triangle must be equal and it not necessary they have equal sides.

Therefore the corresponding angles of similar triangles are congruent and the ratio of corresponding sides of similar triangles are equal.

Therefore;

14/21 = 12/y

14y = 21 × 12

14y = 252

divide both sides by 14

y = 252/14

y = 18

Therefore the value of y is 18.

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