Are these triangles similar and why

Based on the given information, the cost per ounce of the 16 oz jar and the 12 oz jar is not provided. Therefore, it is not possible to determine which jar of mayonnaise Sigmund should buy.

In order to compare the cost of the two jars of mayonnaise and determine which one Sigmund should buy, we need to know the price per ounce for each jar. Without this information, we cannot make a conclusive decision.

The cost per ounce is essential because it allows us to compare the prices accurately. For example, if the 16 oz jar costs $3 and the 12 oz jar costs $2.50, we can calculate the cost per ounce for each jar. The cost per ounce for the 16 oz jar would be $3 divided by 16 oz, which is $0.1875 per ounce. Similarly, the cost per ounce for the 12 oz jar would be $2.50 divided by 12 oz, which is approximately $0.2083 per ounce.

With this information, we can determine that the 16 oz jar is more cost-effective as it has a lower cost per ounce compared to the 12 oz jar. However, without the specific prices per ounce provided in the given information, it is impossible to determine which jar of mayonnaise Sigmund should buy.

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It is proven that the value of x in the given expression 2x-9 -5 = 1 is 7.

Given: 2x-9 -5 = 1

We need to prove that x = 7

2x - 9 - 5 = 1

2x - 13 = 1

2x = 14

x = 7

Therefore, it is proven that the value of x in the given expression  2x-9 -5 = 1 is 7.

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Answer:

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Step-by-step explanation:

Answer:

it goes to a screen shot

Step-by-step explanation:

Answer:

The answer is 2

Step-by-step explanation:

If you plug in 3 for X and 4 for Y    you get 4(3) + 8 / (4) + 6 which gives you

12+ 8/ 4+ 6 simplify and you get 20/10 divide and your left with 2

Answer:

500 students

Step-by-step explanation:

Change the percent to a fraction in its simplest terms

Then solve 2/3×1250

Answer:

500 students ride the bus

Step-by-step explanation:

Easy:

If the total number of students is 1250 and you know 40% ride the bus all you have to do is figure out 40% of 1250. Once you get that you will get 500 people. You can use a calculator for this problem.

x/1250 = 40/100

x = number of students riding bus

Solve for x

100x = 1250*4 - after you cross mulitply

solve for x

x = 500

Answer:

f(x) = sin(x)

Step-by-step explanation:

This is the correct answer.

Answer:

d) \(4\cdot 10^{6}\) times

Step-by-step explanation:

Scientific Notation

We are given two quantities and we must find the ratio between them and use scientific notation.

The diameter of a pearl is about

\(4\cdot 10^{-3}\ cm\)

Converting to meters, we divide by 100

\(4\cdot 10^{-3} / 100 = 4\cdot 10^{-5}\ m\)

The diameter of an atom is about

\(10^{-11}\ m\)

The ratio between both diameters is:

\(\displaystyle \frac{4\cdot 10^{-5}\ m}{10^{-11}\ m}= 4\cdot 10^{-5+11}=4\cdot 10^{6}\)

Answer: d) \(\mathbf{4\cdot 10^{6}}\) times

Answer: d. Date

Step-by-step explanation:

Some of the information printed on the bottom of a check include the check number which is typically a security measure that is used in the identification of payment so as to prevent fraud.

The routing number also informs the bank where the funds for the check can be found.

The account number informs the person that collects the check about the account that the money is coming from.

We should note that the date is at the top of the check and one has to fill it himself or herself before giving the check to the recipient.

Answer:

Step-by-step explanation:

To find surface area, use the formula.

2(Lxw +Lxh+wxH)

Since the difference between consecutive terms is the same, the sequence is an arithmetic sequence, hence Mai is correct.

The sequence is missing, and has these following information:

We also have that:

In an arithmetic sequence, the difference between consecutive terms is always the same, called common difference d.

The nth term of an arithmetic sequence is given by:

\(a_n = a_1 + (n - 1)d\)

From the values os the function, we have that:

The rate of change is the same, hence sequence is an arithmetic sequence, and Mai is correct.

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Answer:

3

Step-by-step explanation:

its 3

Answer:

27, a.

Step-by-step explanation:

3 ÷ 11 = 0.27272727272727

Answer:

257% as a decimal is 2.57

0.003 as a percentage is 0.3%

The arc length of the curve x =\(y^4/4 + 1/8y^2\), for 1 <= y <= 5, is approximately 33.93 units.

To find the arc length of the curve, we use the formula for arc length integration. Given the equation x = \(y^4/4 + 1/8y^2\) and the interval 1 <= y <= 5, we want to determine the length of the curve within this range.

First, we differentiate the equation with respect to y to obtain dx/dy. In this case, dx/dy = \(y^3 + 1/4y\). Then, we use the formula for arc length:

L = ∫[a,b] \(\sqrt{(1 + (dx/dy)^2)}\) dy

Plugging in the values from the given interval, a = 1 and b = 5, we integrate the expression \(\sqrt{(1 + (y^3 + 1/4y)^2)}\) with respect to y. Evaluating this integral gives us the arc length of the curve within the specified interval, which is approximately 33.93 units.

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well, there woudl be a positive profit. The candy was bought for 20$ and it's belling sold for 2 each bar that means 15×2 and u get 30, there was a +10. I would say it's linear and proportional and positive profit.

Answer:

C

Step-by-step explanation:

This graph goes 3 to the left and 4 up. The only one with horizontal and vertical transformations.

Answer:

The blue one should be the answer I believe.

Answer:

The price at the end of the week is $33.

Step-by-step explanation:

We are given that on Monday the price of a company’s stock is $30 per share. On Tuesday, the stock price drops $3, on Wednesday it rises $7, on Thursday it rises $3, and on Friday it drops $4.

The price of a company’s stock on Monday = $30 per share

So, the mathematical statement that represents the situation is given by;

Price of company’s stock on Monday = $30

On Tuesday, the stock price drops $3, so the price of company’s stock on Tuesday = Price of company’s stock on Monday - Drop in price on Tuesday

              = $30 - $3 = $27

On Wednesday, the stock price rises $7, so the price of company’s stock on Wednesday = Price of company’s stock on Tuesday + Rise in price on Wednesday

              = $27 + $7 = $34

On Thursday, the stock price rises $3, so the price of company’s stock on Thursday = Price of company’s stock on Wednesday + Rise in price on Thursday

              = $34 + $3 = $37

On Friday, the stock price drops $4, so the price of company’s stock on Friday = Price of company’s stock on Thursday - Drop in price on Friday

              = $37 - $4 = $33

Hence, the price at the end of the week is $33.

Step-by-step explanation:

the slope of the line between the first 2 points must be the same as the slope between the second and the third point.

the slope is y difference / x difference.

so,

b/a = d/c

-3/1.6 = d/1.5

d = -3×1.5 / 1.6 = -4.5 / 1.6 = -2.8125

The value of the exponent (2/5)^3 is \(\frac{8}{125}\)

In the above question, it is given that

(2/5)^3

The number of times a number has been multiplied by itself is referred to as an exponent. For instance, the expression 2 to the third (written as 2^3) signifies 2 x 2 x 2 = 8.

We need to solve it and then find the value of the exponent

(2/5)^3

= \(\frac{2}{5}\) x \(\frac{2}{5}\) x \(\frac{2}{5}\)

= \(\frac{2 . 2. 2}{5 . 5 . 5}\)

= \(\frac{8}{125}\)

Therefore the value of the exponent (2/5)^3 is \(\frac{8}{125}\)

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Answer:

Option B.

Step-by-step explanation:

(12x - 29) + (4x + 1) = 180

To calculate the probabilities, we need to use the concept of binomial probability.

For a fair coin being tossed 5 times:

(a) Probability of getting five heads:

The probability of getting a head in a single toss is 1/2.

Since each toss is independent, we multiply the probabilities together.

P(Head) = 1/2

P(Tails) = 1/2

P(Five Heads) = P(Head) * P(Head) * P(Head) * P(Head) * P(Head) = \((1/2)^5\) = 1/32 ≈ 0.03125

So, the probability of obtaining five heads is approximately 0.03125 or 3.125%.

(b) Probability of getting four heads:

There are five possible positions for the four heads.

P(Four Heads) = (5C4) * P(Head) * P(Head) * P(Head) * P(Head) * P(Tails) = 5 * \((1/2)^4\) * (1/2) = 5/32 ≈ 0.15625

So, the probability of obtaining four heads is approximately 0.15625 or 15.625%.

(c) Probability of getting one head:

There are five possible positions for the one head.

P(One Head) = (5C1) * P(Head) * P(Tails) * P(Tails) * P(Tails) * P(Tails) = 5 * (1/2) * \((1/2)^4\) = 5/32 ≈ 0.15625

So, the probability of obtaining one head is approximately 0.15625 or 15.625%.

For a fair die being thrown eight times:

(a) Probability of a 6 occurring six times:

The probability of rolling a 6 on a fair die is 1/6.

Since each roll is independent, we multiply the probabilities together.

P(6) = 1/6

P(Not 6) = 1 - P(6) = 5/6

P(Six 6s) = P(6) * P(6) * P(6) * P(6) * P(6) * P(6) * P(Not 6) * P(Not 6) = \((1/6)^6 * (5/6)^2\) ≈ 0.000021433

So, the probability of rolling a 6 six times is approximately 0.000021433 or 0.0021433%.

(b) Probability of a 6 never happening:

P(No 6) = P(Not 6) * P(Not 6) * P(Not 6) * P(Not 6) * P(Not 6) * P(Not 6) * P(Not 6) * P(Not 6) = \((5/6)^8\) ≈ 0.23256

So, the probability of not rolling a 6 at all is approximately 0.23256 or 23.256%.

(c) Probability of an odd number of 6s:

To have an odd number of 6s, we can either have 1, 3, 5, or 7 6s.

P(Odd 6s) = P(One 6) + P(Three 6s) + P(Five 6s) + P(Seven 6s)

\(P(One 6) = (8C1) * P(6) * P(Not 6)^7 = 8 * (1/6) * (5/6)^7P(Three 6s) = (8C3) * P(6)^3 * P(Not 6)^5 = 56 * (1/6)^3 * (5/6)^5P(Five 6s) = (8C5) * P(6)^5 * P(Not 6)^3 = 56 * (1/6)^5 * (5/6)^3P(Seven 6s) = (8C7) * P(6)^7 * P(Not 6) = 8 * (1/6)^7 * (5/6)\)

P(Odd 6s) = P(One 6) + P(Three 6s) + P(Five 6s) + P(Seven 6s)

Calculate each term and sum them up to find the final probability.

After performing the calculations, we find that P(Odd 6s) is approximately 0.28806 or 28.806%.

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Answer:

3/8

Step-by-step explanation:

Given that

Number of clown fish = 10

Number of Angel fish = 4

Number of Puffer fish = 6

Number of Eels = 5

From the above, there exists 10 + 4 + 6 + 5 number of fishes

There exists 25 number of fishes.

Probability of picking a clown fish then is

C = 10 / 25

If the clown fish picked isn't replaced, then there exists 9 clown fishes, and 24 total fishes. This, the probability of picking another clown fish is

C = 9 / 24

C = 3 / 8

Thus, the answer is 3/8

Answer:

216

Step-by-step explanation:

First find the base area

0.25 * √[(5 + 6 + 5) * (-5 + 6 + 5) * (5 - 6 + 5) * (5 + 6 - 5)] = 12

Equation:

12 * (5 + 6 + 5) + (2 * 12) = 216

Answer:

1. Joe wants to rent a cabin for 25 dollars a week, and the down payment is 700 dollars. y=mx+ b

Answer:

Below

Step-by-step explanation:

●(xy)^(-1)

● x^(-1) * y^(-1)

● (1/x)*(1/y)

● 1/xy

Answer:

1.57 cubic centimeters

Step-by-step explanation:

V= πr²h

π = 3.14

r = 0.5

h = 2

V = 3.14(0.5)²(2)

V = 3.14(0.25)(2)

V = (0.785)(2)

V = 1.57 cubic cm