After giving 20 stickers to Siti, Janice had twice as many stickers as Siti.
If Janice had 120 stickers at first, how many stickers did they have
altogether?​

The key features of the dashed graph are

A graph is a pictorial representation of a function

To describe the key features of the dashed graph, we proceed as follows.

So, the key features of the dashed graph are

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Answer:

It should be A

Step-by-step explanation:

Took the class a few months ago

A

Just took the quiz and got it right

Answer:

B is the correct answer--each x-value corresponds to exactly one y-value.

To find an ordered pair that satisfies the given system of inequalities, we need to find a point that lies below the line y = -x - 3 and above the line y = 2x - 4.

One such point that satisfies both inequalities is (-1, 0).

Let's check if this point satisfies both inequalities:

For the first inequality, y < -x - 3:

0 < -(-1) - 3

0 < 1 - 3

0 < -2 (True)

For the second inequality, y > 2x - 4:

0 > 2(-1) - 4

0 > -2 - 4

0 > -6 (True)

Therefore, the ordered pair (-1, 0) satisfies the system of inequalities y < -x - 3 and y > 2x - 4.

Answer: C

Step-by-step explanation:

The rest of the quadrilaterals provided have 2 pairs of parallel lines.

The choice is:

Explanation:

The quadrilateral that has exactly one pair of parallel lines is called a trapezoid.

Here's what a trapezoid looks like :

\(\setlength{\unitlength}{1 cm}\begin{picture}(0,0)\linethickness{0.3mm}\qbezier(0,0)(0,0)(1,3)\qbezier(5,0)(5,0)(4,3)\qbezier(1,3)(1,3)(4,3)\qbezier(3,0)(8.2,0)(0,0)\put(-0.5,-0.3){$\sf A$}\put(5.3,-0.3){$\sf B$}\put(4.2,3.1){$\sf C$}\put(0.6,3.1){$\sf D$}\end{picture}\)

answer:

y = -2/3x -4/3

step-by-step explanation:

you start with 6x-9y = 12. you need to get y alone and on its own side of the equal sign.

starting easy, all coefficients (6, -9, and 12) have a GCF of 3. so, let's divide all sides by 3.

you are left with 2x-3y=4. now, we need to get -3y on its own side of the equal sign before we can get rid of its coefficient (-3). also, when identifying the coefficient of x, y, or any variable, include the + or - sign. you just don't need to write +, but you have to write -.

2x-3y=4 means we subtract 2x from both signs because it is positive. we now have

-3y = 2x + 4. let's divide by -3 to get y on it's own

y = -2/3x -4/3

Answer:

g(12) = 10

Step-by-step explanation:

To find g(12)

here t = 12 and lies in the range 6 ≤ t ≤ 12

so we use g(t) = \(\frac{5t}{6}\)

⇒ g(12) = \(\frac{5*12}{6}\)

= 5*2

= 10

g(12) = 10

Answer:

1.25

Step-by-step explanation:

you have to take the 9 pages and divide by 7 and then divide that by 60 and u get 1.25

Answer:

\(216\)

Step-by-step explanation:

Remember that \(a^{b}=a*a*a*a*... b~~times\).

So, \(6^3=6*6*6=(6*6)*6=36*6=\boxed{216}\)

Answer:

Behavioral Research in Accounting (January 2008) study of Machiavellian traits in accountants

a) Population of interest to the researcher: accountants

b) Sample = 700 accounting alumni

c) The inference made by the researcher = Machiavellian behavior is not required to achieve success in the accounting profession.

d) The non-responses reduce the sample size and this might introduce bias to the inference made to the population.

Step-by-step explanation:

a) Data and Calculations:

Research Question = Is Machiavellian behavior is required to achieve success in the accounting profession?

Population of interest = all accountants

Sample size = 700 accounting alumni of a university

No. of analyzed questionnaires = 198

No. of questionnaires not analyzed due to nonresponse and incomplete answers = 502 (700 - 198)

Percentage of analyzed questionnaires to sample size = 28.3% (198/700 *100)

Percentage of questionnaires not analyzed = 71.7% (100% - 28.3%)

Conclusion reached by the researchers = Machiavellian behavior is not required to achieve success in the accounting profession.

Answer:

B is greater than A by 1/4 of A

Step-by-step explanation:

Let's use the information given in the problem to write expressions for the values of a and b:

a = b - (1/5)b = (4/5)b

b is greater than a by the difference:

b - a = b - (4/5)b = (1/5)b

To express this difference as a fraction of a, we divide by a:

(b - a)/a = ((1/5)b)/((4/5)b) = 1/4

Therefore, b is greater than a by 1/4 of a.

The use of volunteer sampling means that the result of the survey is potentially misleading.

Volunteer sampling is a sampling technique in which each participant in the sample opts to join the research, as is the case for this problem, as each participant opted to join in the project to compare their cold lengths.

The drawback of this type of sampling is that it should contain lots of participants that share similar characteristics, such as desiring to weight/diet, and this may influence their recovery to cold. The participants also may lie, which can cause misleading results to the study.

Options to remove misleading conclusions is to use a different type of sampling, such as stratified sampling, as groups of people that are either short or long sleepers are compared to reach a conclusion.

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Answer:

22

Step-by-step explanation:

Write an equation:

5x+12=6x-10

Solve.

x=22

Hope I helped!

Answer:

22

Step-by-step explanation:

6x - 10 = 5x + 12 (vertical angles)

6x - 5x = 12 + 10

x = 22

The mystery number is 20 for the given information.

A number system is defined as a system of writing to express numbers.

To find the mystery number, we need to find a number that satisfies all the given conditions:

The GCF of 18, 36, and the mystery number is 2.

The prime factorization of 18 is 2 x 3 x 3.

The prime factorization of 36 is 2 x 2 x 3 x 3.

The only common factor is 2 x 3 x 3, which is equal to 18.

This means that the mystery number must also be divisible by 2.

The mystery number is a multiple of 5.

Since the mystery number is a multiple of 5 and also divisible by 2, it must end in 0 or 5.

The mystery number is greater than 18 and less than 30.

The only number that satisfies all three conditions is 20.

Hence, the mystery number is 20 for the given information.

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Answer:

This is the order:

1. 3x

2. 3x + 8

3. x^2

4. x^2 + 6

5. 4^x

6. 4^x + 3

(I numbered them only so it would be easier to refer to them)

Step-by-step explanation:

Why is Equation #2 greater than Equation #1?

This is because the equations are the same, except that the second equation is shifted up by eight units. This means that its value is always going to be eight units greater.

This same reasoning applies to Equations 3&4 and 5&6.

Why is Equation #3 greater than Equation #2?

This is because a certain value multiplied by three (even with eight added) will soon be overtaken by that value squared. For example, let's make x= 5

3(5) + 8 = 23

(5)^2 = 25

As you can see, the equation x^2 is already greater in value than 3x + 8.

Why is Equation #5 greater than Equation #4?

This is because a certain value squared will soon be overtaken by 4 to the power of that value. For example, let's make x= 2

(2)^2 + 6= 10

4^2 = 16

As you can see, the equation 4^x is already greater in value than x^2 + 6.

Hope this helps! :)

Answer:

1. 3x

2. 3x + 8

3. x^2

4. x^2 + 6

5. 4^x

6. 4^x + 3

Step-by-step explanation:

Therefore , the solution of the given problem of graph comes out to be the graph is a symmetric wave that oscillates between 5 and 5.

Mathematicians use graphs to logically chart or illustrate claims rather than values in an interesting visual way. Usually, a graph point shows the connection between two or more objects. A graph is a particular kind of non-linear railway assembly composed of nodes and lines. The nodes, also known as the borders, should be joined together with glue. The node numbers in this network included 1, 2, 3, and 5, while the edge numbers included 1, 2, 3, and 4, along with (2.5), (3.5), (4.5), but also (4.5). (4.5).

Here,

Plotting a few important spots will help us later when we sketch the graph of f(t) = 5 cos(t).

Since the function has a phase of 2, we can concentrate on the range from 3/2 to 3/2. We possess

=> f(−3/2) = 5 cos(−3/2) ≈ 4.515

=> f(−π) = 5 cos(−π) = −5

=> f(−1/2) = 5 cos(−1/2) ≈ 4.045

=> f(0) = 5 cos(0) = 5

=> f(1/2) = 5 cos(1/2) ≈ 4.045

=> f(π) = 5 cos(π) = −5

=> f(3/2) = 5 cos(3/2) ≈ 4.515

Using these coordinates, we can create the following f(t) graph:

With maximum positions at t = /2 and t = /2, and minimum points at t = 3/2, t = 1/2, t = 1/2, and t = 3/2,

the graph is a symmetric wave that oscillates between 5 and 5.

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The inequality on the graph is:

3y + 4x ≤ 8

And the test point is (-1, 4)

Here we have a linear inequality, we can see that:

y ≤ line.

Remember that the general line is:

y = a*x + b

Where b is the y-intercept, here we can see that the line intercepts the x-axis at x = 2, this means that:

0 = 2a + b

And the line also passes through  (-1, 4), then:

4 = -a + b

So we have two equations:

0 = 2a + b

4 = -a + b

Subtracting these two we get:

4 - 0 = -a + b - 2a - b

4 = -3a

-4/3 = a

And we know that:

b = -2a

b = -2*(4/3) = -8/3

Then the line is:

y =  -4/3x - 8/3

3y = -4x - 8

And then the inequality is like:

3y ≤ -4x - 8

3y + 4x ≤ 8

The solution, from the given ones, is any point on the blue region, in this case it is (-1, 4), like we said above.

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If x is the number of hours Patricia needs to babysit, the inequality is

Therefore, since she has already saved $60,

Thus, the inequality that models the question is 60+5x>=200

Answer:

51

Step-by-step explanation:

ΔABC: AC = 5 - (-1) = 6

height = (-1) - (-4) = 3

Area = 6*3/2 = 9

Rectangle ACDE, length AE = 6 - (-1) = 7

height DE = 5 - (-1) = 6

Area = 7 * 6 = 42

So the area of this polygon = 9 + 42 = 51

0.25 but half but 26:26 Its same but half of half ....

Answer:

g(x) = 2x + 1

Step-by-step explanation:

f(x)= 3x - 5 when it is translated 6 units up

Translating a function a units is adding a to the function. So

\(3x - 5 + 6 = 3x + 1\)

Horizontal stretch by a factor of 3/2.

This means that \(g(x) = f(\frac{2x}{3})\), that is. So

\(g(x) = 3(\frac{2x}{3}) + 1 = 2x + 1\)

Then

g(x) = 2x + 1

Answer:

x= -97

Step-by-step explanation:

I hope this help!!!

Measure of perpendicular side for the given right triangle with adjacent side 5units and hypotenuse 9 unit is equal to 7.5 units(Upto one decimal place).

As given in the question,

In a right triangle,

Measure of a adjacent side = 5units

Measure of a hypotenuse = 9units

Let x be the measure of the perpendicular side

Using Pythagoras theorem we get,

(Hypotenuse)² = (Adjacent side)² +(perpendicular side)²

⇒ (9)² = (5)² + (x)²

⇒ (x)² = (9)² - (5)²

⇒x² = 81 -25

⇒ x = √56

⇒ x= 7.4833..

⇒x = 7.5 units(round upto one decimal)

Therefore, measure of perpendicular side for the given right triangle with adjacent side 5units and hypotenuse 9 unit is equal to 7.5 units(Upto one decimal place).

The complete question is :

Approximate the measure in degrees of angle in a right triangle given that the side adjacent to angle is 5 and the hypotenuse of the triangle is 9 units. Find the measure of perpendicular side.(Round your answer to one decimal place.)

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Answer:

770,400

Step-by-step explanation:

770,400 seconds

Answer:

500

Step-by-step explanation:

The measure of the angle B of the triangle is 78.15 degrees

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

A = 25 degrees

a = 9.5 units

b = 22 units

Using the law of sines, the angle B is calculated as

sin(A)/a = sin(B)/b

So, we have

sin(25)/9.5= sin(b)/22

This gives

sin(b) = 22 * sin(25)/9.5

Evaluate

sin(b) = 0.9787

Take the arc sin of both sides

b = 78.15

Hence, the measure of the angle is 78.15 degrees

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Since Amy is determining the difference between the number of butterflies she saw in the past 4 months (figure A) and this month (figure B), her next step is to subtract figure A from figure B.

The difference between the two figures or numbers is the result of a subtraction operation.

A subtraction operation, which is one of the four basic mathematical operations, involves the minuend, subtrahend, and difference, using the minus sign (-) and the equal symbol (=).

Thus, Amy's next step is a subtraction operation to find the difference.

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Answer:

y=1/2x-21/2

Step-by-step explanation:

f(x) contains (3, -9) and (-1, -11)

slope : (-9-(-11)))/(3-(-1))

2/4=1/2

slope : 1/2

y=1/2x+b

-9=3/2+b

b=-21/2

y=1/2x-21/2