Explain Scientific Notation.

Answer:

(4, 1)

I think

I don't see another answer that makes sense is this a trick question?

Answer:

A

Step-by-step explanation:

when you substitute 4 in x and 3 in y, your result are 11 no 10

Answer:

y = 96°

Step-by-step explanation:

The measure of the inscribed angle y is half the measure of its intercepted arc.

The whole circle = 360°

the intercepted arc = 360° - 168° = 192°

Thus

y = \(\frac{1}{2}\) × 192° = 96°

Answers:

Expression for the total number of quarters is 40*1.20

Amount of money you have left is 6 dollars

===================================================

Explanation:

You start with 40 quarters. 20% of this is 0.20*40 = 8 which means you found 8 more quarters. The total goes from 40 to 40+8 = 48.

A slight shortcut is to write 40*1.20 = 48

--------------

48 quarters = 48*0.25 = 12 dollars

Or you can divide by 4 to determine the total value of the quarters in dollars.

If you spent half (50%) of that money, then you'll be left with 6 dollars.

A graph of the solution of the inequality is: graph F.

In Mathematics, an inequality can be defined as a mathematical relation that is typically used for comparing two (2) or more numerical data and variables in an algebraic equation based on any of the following inequality symbols:

Next, we would solve the given inequality by making x the subject of formula as follows;

x - 5 < 14

By adding 5 to both sides of the inequality, we have the following:

x - 5 + 5 < 14 + 5

x < 19

Note: The line on a number line should be open when the inequality symbol is greater than (>) or less than (<).

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Answer:

I think the answer is 2 4

Step-by-step explanation:

Table {1} and table {2} represent the relations that are functions.

A function is a relation between a dependent and independent variable. We can write the examples of functions as -

y = f(x) = ax + b

y = f(x, y, z) = ax + by + cz

We can define the modulus function as -

|x| = - x     {x < 0}

|x| = x       {x > 0}

Given is to identify which of the relations are functions.

For a relation to be a function, it should have unique value of {y} for a unique value of {x}. One value of {x} cannot have more than one values at the same time. We can see in the image attached that only table 1 and 2 represent such relations. So, we can conclude that relation {1} and {2} represent the functions.

Therefore, table {1} and table {2} represent the relations that are functions.

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Answer:

the pie number is 3.14 so just make square

Step-by-step explanation:

I hope this helps you alot xin and con are equal to$$$

To securely send data using AES, Alice and Bob can utilize RSA for key exchange. RSA is a public-key cryptosystem, which means that each party has a public and private key.

To initiate the key exchange, Bob generates a public and private key and sends his public key to Alice. Alice then encrypts the AES key with Bob's public key and sends it back to Bob. Since only Bob has the private key, only he can decrypt the message and obtain the AES key.

The data is encrypted using AES, which is much faster and more efficient than RSA for large amounts of data.

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Answer:

Step-by-step explanation:

m∠8 = 130

m∠6 = 130

m∠7 = 50

m∠11 = 65

m∠15 = 65

m∠10 = 65

Answer:

Calculate one-time simple interest, and simple interest over time

Determine APY given an interest scenario

Calculate compound interest

Answer:

The red marbles.

Step-by-step explanation:

It is because Red has the least amount of marbles, therefore it is most likely for you to not pull out a red marble.

Answer:

293 m

Step-by-step explanation:

Split the figure into 3 parts :

Perimeter of the left semicircle

Perimeter of the right semicircle

Perimeter of the rectangle

Distance around the race track

Approximately 35% of the ears of corn in the bin are white.

To find the percentage of white ears of corn, we need to determine the number of white ears and then calculate what proportion they make out of the total number of ears in the bin.

Given that there are 78 ears of yellow corn, we can subtract this number from the total number of ears to find the number of white ears:

Total ears - Yellow ears = White ears

120 - 78 = 42

There are 42 white ears of corn in the bin. To calculate the percentage of white ears, we divide the number of white ears by the total number of ears and multiply by 100:

(White ears / Total ears) x 100 = Percentage of white ears

\((42 / 120) \times 100 = 35%\)

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Answer:

A. 13.

Step-by-step explanation:

g(x) = 4x + 1

g(3) = 4 * 3 + 1 = 12 + 1 = 13

A. 13 is your answer.

Hope this helps!

Answer:

13

Step-by-step explanation:

g(x) = 4x + 1

Let x=3

g(3) = 4*3+1

      = 12+1

    = 13

Answer:

10. 535

Step-by-step explanation:

The numerical length of PQ is 20

A line segment in geometry is a section of a line that has two clearly defined endpoints and contains every point on the line that lies within its confines.

Given that the line segments are: -

OQ=11  O P = 9

The numerical value of PQ will be calculated as below.

OP+OQ=PQ

11+9=PQ=11+9=PQ

Therefore PQ=20=PQ

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Answer:

Step-by-step explanation:

You want to know the amount borrowed at 10%, 12%, and 14% if the total borrowed was $21000, the total interest was $2580, and the total of amounts borrowed at 10% and 14% was double the amount borrowed at 12%.

The relations give rise to three equations. If we let x, y, z represent the respective amounts borrowed at 10%, 12%, and 14%, we have ...

  x + y + z = 21000 . . . . . . total borrowed

  0.10x +0.12y +0.14z = 2580 . . . . . . total interest

  x + y = 2z . . . . . . . . . . . relationship between amounts

Writing the last equation as ...

  x -2y +z = 0

we can formulate the problem as a matrix equation and use a solver to find the solution. We have done that in the attachment. It tells us the amounts borrowed are ...

__

Additional comment

Recognizing that the amount at 12% is 1/3 of the total, we can use that fact to rewrite the other two equations. The interest on the $7000 at 12% is $840, so we have ...

These two equations have the solution shown above. (It is usually convenient to solve them by substituting for x in the second equation.)

<95141404393>

The solution to this equation –3x + 1 + 10x = x + 4 include the following: A. x = 1/2.

In order to create a list of steps and determine the solution to the equation, we would have to rearrange the variables and constants, and then collect like terms as follows;

–3x + 1 + 10x = x + 4

-3x + 10x - x = 4 - 1

6x = 3

By dividing both sides of the equation by 6, we have the following:

6x = 3

x = 3/6

x = 1/2

In conclusion, we can reasonably infer and logically deduce that solution to this equation –3x + 1 + 10x = x + 4 is 1/2 or 0.5.

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Complete Question:

Solve the equation.

–3x + 1 + 10x = x + 4

x = 1/2

x = 5/6

x = 12

x = 18

The probability for the first digit of a random number of a data set to be greater than 7 is 0.097.

Here we are given a probability distribution table regarding Benford's law where all the probabilities about the occurrence of the first digit of a data set are given. As we can see that digit 1 has the highest probability with number 9, the least.

Here we need to find the probability that a randomly selected number, has a first digit greater than 7.

Here we don't have to think about Benford's law since the data already has given us the required distribution.

Hence P(D > 7) = P(D = 8) + P(D = 9)

= 0.051 + 0.046

= 0.097

Hence the probability for the first digit to be greater than 7 is 0.097.

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Correct Question

(Image Attached)

Using the properties of similar triangles and ratio and proportion we get the vale of x as 2.8 units.

In the given figure the triangle ΔKFG and ΔFJH

KG is parallel to JH

Hence ΔKFG is similar to ΔFJH

Now using the property of similarity and proportion we can say that:

FG/FH = KF/JF

putting the values in the above proportion we get:

7 /(7+x) = 5/ 7

or, 49 = 35 +5 x

or, 14 = 5x

or, x =14/5

or, x = 2.8

The majority of ratio and percentage explanations involve using fractions.

A proportion states that two variables are equal, whereas a ratio is a fraction that is written as a:b. The two ratios given are equal to one another, as demonstrated by the proportional equation.

Hence the value of x is 2.8 units.

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The probability of rolling a total of 7 on the two dice is 8/63

Probability:

In Mathematics, Probability is a branch that deals with the occurrence of possible outcomes in a random event or experiment. It is also defined as the ratio of the number of favorable outcomes and the total number of outcomes.

The probability of an event is denoted by P(E). And the probability of all the events in the sample space will equal to 1.  

Probability P(E) = No of favorable outcomes /Total No of outcomes  

Here we have,

The probabilities of rolling 1, 2, 3, 4, 5, and 6, on each die, are in the ratio 1: 2: 3: 4: 5: 6  

Let x, 2x, 3x, 4x, 5x, and 6x are the probabilities of rolling 1, 2, 3, 4, 5, and 6, on each die [ since they are in ratio 1: 2: 3: 4: 5: 6 ]  

As we know the total events in a probability = 1

=> x + 2x + 3x + 4x + 5x + 6x = 1  

=> 21 x = 1

=> x = 1/21  

From the above calculations,

The probabilities of rolling 1, 2, 3, 4, 5, and 6 are  \(\frac{1}{21} , \frac{2}{21}, \frac{3}{21}, \frac{4}{21}, \frac{5}{21}, \frac{6}{21}\) respectively.  

The possible combinations of two dies that can give a total of 7 are

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

Therefore, the probability of rolling a total of 7 on the two dice

=  the sum of the probabilities of rolling each combination

=  \(\frac{1}{21} . \frac{6}{21} + \frac{2}{21} .\frac{5}{21} + \frac{3}{21} . \frac{4}{21} + \frac{4}{21} . \frac{3}{21} + \frac{5}{21} .\frac{2}{21} + \frac{6}{21} .\frac{1}{21}\)  

=  \(\frac{6}{441} + \frac{10}{441} + \frac{12}{441} + \frac{12}{441} + \frac{10}{441} + \frac{6}{441}\)  

=  \(\frac{56}{441}\)

=  \(\frac{8}{63}\)

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The complete question is

For a particular peculiar pair of dice, the probabilities of rolling 1, 2, 3, 4, 5, and 6, on each die are in the ratio 1:2:3:4:5:6. What is the probability of rolling a total of 7 on the two dice

Answer: We can start by figuring out how much of the pizza was covered before Mrs. Magsanoc returned by adding the portion that she covered before the phone rang to the portion that Mr. Magsanoc covered while she was away.

Mrs. Magsanoc covered 3/8 of the pizza before the phone rang.

Mr. Magsanoc covered 1/3 of the pizza while she was away.

To add the two portions, we need to find a common denominator, which is the least common multiple of 8 and 3. That is 24.

3/8 of the pizza is (3/8) * (24/8) = 3/24

1/3 of the pizza is (1/3) * (24/3) = 8/24

So, the total portion of the pizza that was covered before Mrs. Magsanoc returned is 3/24 + 8/24

Which is 11/24 or 0.458 of the pizza.

Step-by-step explanation:

Answer:

it’s -93

Step-by-step explanation:

Answer:

I’m doing that exact question right now on a test so I just guessed

Step-by-step explanation:

Kevin's recipe uses more water than Jenny's recipe. Kevin will make more plaster than Jenny.

This problem is about ratios and proportions. The problem provides us with the amount of water and plaster powder that Kevin and Jenny used to make plaster. We have to determine whose recipe uses more water and who will make more plaster. The ratio of Kevin’s mixture is 3 cups of water to 4 pounds of plaster powder, whereas the ratio of Jenny’s mixture is 4 cups of water to 5 pounds of plaster powder.

To find out whose recipe uses more water, we need to compare these ratios. We have to make equivalent ratios to compare them, and we can do this by multiplying the numerators and denominators of each ratio. So, the equivalent ratios are 15:20 for Kevin and 16:20 for Jenny. Therefore, Kevin's mixture has a higher water-to-plaster powder ratio, which means he uses more water.

Now, let's calculate how much plaster powder each can make with 12 cups of water. Kevin can make 4 pounds of plaster powder as 1 pound of plaster powder requires 3 cups of water. Similarly, Jenny can make 3 pounds of plaster powder as 1 pound of plaster powder requires 4 cups of water. Therefore, Kevin will make more plaster than Jenny.

Thus, Kevin’s recipe uses more water than Jenny’s recipe. Kevin will make more plaster than Jenny.

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Answer:

The measure of an angle formed by two secants intersecting outside a circle is equal to one-half the difference of the measures of the intercepted arcs.

50° = (1/2)(162° - KM)

100° = 162° - KM

KM = 62°

The number of hours it would take 3, 5, 6 and 15 bakers to make 30 loaves is :

Time taken per baker in hours :

= 30 / 2

= 15 loaves per hour per baker

The number of hours it would take 3 bakers to make 30 loaves is :

= ( 30 loaves / ( 15 / 60 minutes x 3 bakers ) ) / 60 minutes per hour

= 2 / 3 hours

5 bakers :

= ( 30 loaves / ( 15 / 60 minutes x 5 bakers ) ) / 60 minutes per hour

= 2 / 5 hours

6 bakers :

= ( 30 loaves / ( 15 / 60 minutes x 6 bakers ) ) / 60 minutes per hour

= 1 / 3 hours

15 bakers :

= ( 30 loaves / ( 15 / 60 minutes x 15 bakers ) ) / 60 minutes per hour

= 2 / 15 hours

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Answer:

-45x + 18x²

Step-by-step explanation:

-9x (5 - 2x)

|

Multiply each term in the brackets by -9x

|

-9x × 5 - 9x × (-2x)

|

Calculate the product

|

(-9x × 5) = -45

(-) & (-) = (+)

9x × 2x = 18x²

|

Solution

|

-45x + 18x²