Find the value of each variable.
105°
86°
106°/2°

Answer:

3 1/4

Step-by-step explanation:

1) Convert 6 1/2 into a fraction and add it to 1/2.

6 -> 12/2

12/2 + 1/2 = 13/2

2) Divide the result by 2 (or multiple the result by the reciprocal of 2)

13/2 x 1/2 = 13/4 or 3 1/4

Hope this helped ^^

9514 1404 393

Answer:

  not generally

Step-by-step explanation:

The basic log function has a vertical asymptote where its argument is zero. It has a positive slope for all positive arguments. It tends to infinity as the argument tends to infinity. There is no horizontal asymptote.

__

A log function can be made part of a larger expression in a way that would give the expression a horizontal asymptote. For example, the function ...

  f(x) = 1/log(x)

has a horizontal asymptote at f(x) = 0. (This asymptote is approached very slowly.)

Answer:

The mass of the 30,000 molecules is 1.59\times 10^{-18}1.59×10

−18

Given that,

There are 30,000 molecules.

And, the mass of one molecule of oxygen i.e. 5.3\times 10^{-23}5.3×10

−23

gram.

Based on the above information, the calculation is as follows:

\begin{gathered}= 30,000 \times 5.3\times 10^{-23}\\\\= 3\times10^4 \times 5.3\times 10^{-23}\\\\= 15.9\times 10^{-23+4}\\\\= 15.9\times 10^{-19}\\\\= 1.59\times 10^{-19}\times 10\\\\= 1.59\times 10^{-18}\end{gathered}

=30,000×5.3×10

−23

=3×10

4

×5.3×10

−23

=15.9×10

−23+4

=15.9×10

−19

=1.59×10

−19

×10

=1.59×10

−18

Therefore we can conclude that the mass of the 30,000 molecules is 1.59\times 10^{-18}1.59×10

−18

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Answer:

12

Step-by-step explanation:

\(\frac{2(2)}{2} +2(2)+\frac{2(6)}{2} =2+4+6\\ =12\)

Answer:

y = 0

Step-by-step explanation:

The image is reflected across the y-axis

The value of the probability of choosing a green lollipop and a purple lollipop is, 8 / 45

We have to given that;

One bag contains 3 red lollipops and 2 green lollipops.

And, The other bag contains four purple lollipops and five blue lollipops.

Hence, The probability of choosing a green lollipop is,

P₁ = 2 / 5

And, The probability of choosing a purple lollipop is,

P₂ = 4 / 9

Thus, The value of the probability of choosing a green lollipop and a purple lollipop is,

P = P₁ ×  P₂

P = 2/5 × 4/9

P = 8/45

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The solution to the equation is y = 17/9. So the option D is correct

The real power of equations is that they provide a very precise way to describe various features of the world. (That is why a solution to an equation can be useful, when one can be found. )

To solve for y in the equation 1/3 = 1/6 (y 1/9), we can follow these steps:

Simplify the right side of the equation by finding a common denominator for y 1/9:

1/3 = 1/6 (y + 1/9)

1/3 = (y/6)+(1/54)

To isolate the right-hand y term, subtract 1/54 from both sides of the equation:

1/3 - 1/54 = y/6

18/54 – 1/54 = y/6

17/54 = y/6

Solve for y by multiplying both sides of the equation by 6:

(17/54) * 6 = a

102/54 = a

Simplify by dividing both numerator and denominator by their greatest common factor, which is 6:

17/9 = year

Therefore, the solution to the equation is y = 17/9.

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Answer:

The 5 in 8523 is 10x greater than the 5 in 9852.

Step-by-step explanation:

Note the place value of the two number's digit 5:

8523: Hundreds place value.

9852: Tens place value.

10 x 10 = 100 ∴ The 5 in 8523 (hundreds place value) is 10x greater than the 5 in 9852 (tens place value).

~

Answer:

Step-by-step explanation:

240,000*6=14,400 dollars

the dr has to be taxes 14,400 dollars

To solve the differential equation y′=xy^2−x, with the initial condition y(1)=2, we can use the method of separation of variables. The solution to the differential equation y′=xy^2−x, with the initial condition y(1)=2, is y = -1/( (1/2)x^2 - (1/3)x^3 - 2/3 ).

Step 1: Rewrite the equation in a more convenient form:
y′=xy^2−x

Step 2: Separate the variables by moving all terms involving y to one side and all terms involving x to the other side:
y′ - y^2 = x - x^2

Step 3: Integrate both sides of the equation with respect to x:
∫(1/y^2) dy = ∫(x - x^2) dx

Step 4: Evaluate the integrals:
-1/y = (1/2)x^2 - (1/3)x^3 + C

Step 5: Solve for y by taking the reciprocal of both sides:
y = -1/( (1/2)x^2 - (1/3)x^3 + C )

Step 6: Use the initial condition y(1)=2 to find the value of C:
2 = -1/( (1/2)(1)^2 - (1/3)(1)^3 + C )
2 = -1/(1/2 - 1/3 + C)
2 = -1/(1/6 + C)
2 = -6/(1 + 6C)

Step 7: Solve for C:
1 + 6C = -6/2
1 + 6C = -3
6C = -4
C = -4/6
C = -2/3

Step 8: Substitute the value of C back into the equation for y:
y = -1/( (1/2)x^2 - (1/3)x^3 - 2/3 )

Therefore, the solution to the differential equation y′=xy^2−x, with the initial condition y(1)=2, is y = -1/( (1/2)x^2 - (1/3)x^3 - 2/3 ).

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Answer:I would think bobs thing..

Step-by-step explanation:

no one can make that many pizzas.

Answer:

x=10

y=40

Step-by-step explanation:

The shape is a parallelogram, therefore we know that opposite sides are equal to each other. So,

x + 18 = 3x - 2

Add 2 to both sides and subtract x from both sides

20 = 2x

divide both sides by 2

10 = x

Now, we have the other two sides;

4x = y

We already know that x = 10, so just plug that into the equation.

4(10) = y

40 = y

Answer:

5h + 2g = 23

Step-by-step explanation:

The x-intercept of a line is the point where the line crosses the x-axis. The y-intercept of a line is the point where the line crosses the y-axis.

What is the intercept of a line?

The point where the line or curve crosses the axis of the graph is called an intercept. If a point crosses the x-axis, then it is called the x-intercept. If a point crosses the y-axis, then it is called the y-intercept. The meaning intercept of a line is the point at which it intersects either the x-axis or y-axis.

The x-intercept of a line is the point where the line crosses the x-axis. The y-intercept of a line is the point where the line crosses the y-axis.

To find the x-intercept of a line, we can set the y-coordinate equal to 0 and solve for x.

For example, consider the line y = 2x + 3. To find the x-intercept, we set the y-coordinate equal to 0 and solve for x:

0 = 2x + 3

-3 = 2x

x = -3/2

Therefore, the x-intercept of this line is (-3/2,0).

To find the y-intercept of a line, we can set the x-coordinate equal to 0 and solve for y.

Continuing with the same example, to find the y-intercept of the line y = 2x + 3, we set the x-coordinate equal to 0 and solve for y:

y = 2(0) + 3

y = 3

Therefore, the y-intercept of this line is (0,3).

Hence, the x-intercept of a line is the point where the line crosses the x-axis. The y-intercept of a line is the point where the line crosses the y-axis.

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Complete Question:

How to find x-intercepts and y-intercepts?

The number of points in a large outer ring and a smaller bull's-eye are 18 points and 84 points respectively.

In order to write a system of equations that model this situation, we would assign variables to the large outer ring and the smaller bull's-eye respectively, and then translate the word problem into algebraic equation as follows:

Next, we would translate the word problem into algebraic equation as follows for both Megan and Paula:

3x + 4y = 390

4x + 5y = 492

In this scenario, we would use an online graphing calculator to plot and solve the above system of equations graphically, with a point of intersection at (18, 84) as shown in the image attached below.

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Answer: B = 1.9

Step-by-step explanation:

A=5

C=12

B=x

Pythagorean Theorem: 5^2 + x^2 = 12^2  

25+x^2=144

x^2=119

\(\sqrt{19}\)≈10.9

The expression to show the number of cookies that Cindy receive is 96/8 - c.

An expression is the statement that illustrates that the variables given. In this case, two or more components are taken into consideration to describe the scenario.

In this case, 96 cookies were shared among 8 people and Cindy has c fewer cookies. This will be:

= 96/8 - c

This illustrates the concept of expression.

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During the questioning of 73 potential jury members, 36% said that they had already formed an opinion as to the guilt of the defendant.

The percentage of potential jury members who had already formed an opinion as to the guilt of the defendant is 36%.

Therefore, the answer is option D) 11.7%.

To find the percentage of potential jury members who said they had already formed an opinion, we can multiply the percentage by the total number of potential jury members.

Percentage: 36%

Total potential jury members: 73

To calculate the number of potential jury members who formed an opinion, we multiply:

\(36% * 73 = 0.36 * 73 = 26.28\)

Rounded to one decimal place, the percentage is 26.3%.

Therefore, the correct answer is not provided in the options given.

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The expanded form of the given logarithms (log z²/5) = 2logz + log 5

Four fundamental features are derived directly from the notion that logs are exponents. The first three can be recalled as follows: The log of a product equals the sum of the logs of the elements. A quotient's log is proportional to the difference in between numerator and denominator logs. The log of power is the power multiplied by the log of the base.

Given : log z²/5

Applying the property  (log a/b = log a +log b)

we get:

log z²/5

log z² + log 5

Applying the property

log z²

2 log z

replacing  equation:

log z² + log 5

2logz + log 5

The expanded form of the given logarithms (log z²/5) = 2logz + log 5

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Answer:

(HA, HB, HC, HD, TA, TB, TC, TD)

Step-by-step explanation:

Spinner : (a, b, c. d)

Coin : (H, T)

Sample space :

____ A _____ B ______ C ______ D

H __HA ____ HB _____ HC _____ HD

_

T__TA _____TB ______ TC _____ TD

Sample space : (HA, HB, HC, HD, TA, TB, TC, TD)

Answer:

It would be C. 13

Step-by-step explanation:

if you line up the two lines of n and 13cm they aren't equal so I would have to say 13. sorry if I'm wrong

The ordered pair that represents points on the graph of the function 2·x = -(2/3)·y  which is a proportional relationship are; (2, -6), (-1, 3), (0, 0), (-2, 6)

A proportional relationship is a function that consists of ordered pairs (x, y), such that the ratio y/x is the same within the range and domain of the function.

The specified equation is presented as follows;

\(2\cdot = -\dfrac{2}{3} \cdot y\)

Making y the subject indicates;

\(y = -\dfrac{3}{2} \times (2\cdot x) = -3\cdot x\)

y =- -3·x

y/x = -3

The above equation indicates that the relationship is a proportional relationship

Therefore, the equation, y = -3·x indicates that the y-intercept is  at the point (0, 0)

The coordinates of a point on the graph is therefore; thew point  (0, 0)

The other ordered pair that  corresponds with the equation, y/x = -3, includes;

The point (2, -6)  from which we get; -6/2 = -3

At the point (-2, 6) , we get, 6/(-2) = -3

At the point (-1, 3), we get; 3/(-1) = -3

The points (2, -6), (-1, 3), and (-2, 6) are also points on the graph of the equation  \(2\cdot = -\dfrac{2}{3} \cdot y\)

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Answer:

12/5 as an improper fraction

2 2/5 as a mixed number

Step-by-step explanation:

3 * 4/5

Rewriting the whole number as a fraction

3/1 * 4/5

Multiply the numerators

3*4 = 12

Multiply the denominators

1*5 =5

Numerator over denominators

12/5

Rewriting as a mixed number

5 goes into 12 2 times  (2*5=10  12-10=2) with 2 left over

2 2/5

Answer:

9 and 45

Step-by-step explanation:

x + 5x = 54

6x = 54

x = 9

5x = 45

Answer:

let the number be x

hence the other number is 5x

we know that

5x + x = 54

6x = 54

x = 54/6

x = 9

so as x equals to 9,

5x = 9×5

5x = 45

Answer:

  B. secondary roads

Step-by-step explanation:

While all of streets, county roads, and secondary roads are generally designed to carry less traffic and/or have lower speed limits than interstate highways, the generic name for such roads is ...

  secondary roads.

Answer:

1,008 pairs of earrings

Step-by-step explanation:

14 multiplied by 72 equals 1,008

Answer:

9/8 (1.125 as a decimal)

Step-by-step explanation:

-2/-16/9 = -(-18/16) = -(-9/8) = 9/8 :)

Extra people required is 50.

Each of the five workers should increase their efficiency to a rate of 15 sandwiches per 10 hour shift.

Proportions are defined as the concept where two or more ratios are set to be equal to each other.

Question 1 :

Number of associates = 30

Number of direct workers = 30 - 2 = 28

You work 8 hours a day and 5 days a week with two 15 minutes break or 30 minutes break per day.

Direct rate = 150 units per hour

Number of working hours in a week with break = 8 × 5 = 40 hours per week Number of working hours in a week = 7.5 hours per day × 5 days a week

                                                            = 37.5 hours per week

Units that department produce in a 40 hour week = 37.5 × 150 = 5625 units

28 people produce 5625 units in a week

Let x people produce 10,000 + 5625 = 15,625 units in a week

Using proportion,

28 : 5625 = x : 15,625

28 / 5625 = x / 15,625

x = (28 × 15,625) / 5625 = 77.78 ≈ 78

Extra people required = 78 - 28 = 50

Question 2 :

Number of sandwiches made in 10 minutes = 1

Number of sandwiches made in 10 hours = 60

5 workers are there. one worker makes 60/5 = 12 sandwiches

But Deli want number of sandwiches in 10 hours = 75

One worker should make 75/5 = 15 sandwiches instead of 12.

Number of sandwiches made in 8 minutes should be 1.

So the working efficiency on each worker should be increased and produce each one should produce 15 sandwiches in a 10 hour shift.

Hence extra people required in question 1 is 50 and efficiency of each worker in question 2 should be increased to 15 sandwiches in 10 hours shift.

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Answer:

c = 2.5m + 3

Step-by-step explanation:

because m is number of miles it is just like x in y = mx + b

c is basically y because it is the result

the equation is

c = 2.5m + 3

2.5 per mile and adding 3 for each trip

when graphing this your y intercept is at 3

2.5 is also 5/2 when turned into a fraction so you go up 5 and left 2 to find the next point on the line