Mai received and spent money in the following ways last month. For each example, write a signed number to represent the change in money from her perspective.



1. Her grandmother gave her $25 in a birthday card.


2. She earned $14 dollars babysitting.


3. She spent $10 on a ticket to the concert.


4. She donated $3 to a local charity.


5. She got $2 interest on money that was in her savings account.

A. Testing the effectiveness of a new reading program by allowing a

classroom to use it and comparing the results with another classroom that doesn't use it

An experiment is a technique used to confirm or deny a hypothesis, as well as assess the likelihood or effectiveness of something that has never been tried before. Experiments show what happens when a specific factor is modified, which sheds light on cause-and-effect relationships.

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Answer:

0.067

Step-by-step explanation:

Given that :

Average years for which phone will last (m) = 2.7 years

Standard deviation (σ) = 0.8 years

Probability that phone will need replacement before 1.5 years

X = 1.5

Find the Zscore :

Zscore = (x - m) / σ

Zscore = (1.5 - 2.7) / 0.8

Zscore = - 1 2 / 0.8

Zscore = - 1.5

Hence ;

P(Z < - 1.5) = 0.066807 (from z probability calculator)

= 0.067

Answer:

i think its 2

Step-by-step explanation:

Answer: 2.

Step-by-step explanation:  Because if you see where the dot of line is you will see that the dot is right next to number 2

Answer:There are 4 serving in the container.

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Took Edge 2020 Fraction Multiplication and Division Test

Step-by-step explanation:

This is the equation for a circle in the form :

(x-h)^2 + (y-k)^2  =   r^2     where h,k is the center and r is the radius

center = 5.2,-3.7    and radius = sqrt (49) = 7

Note that the characteristic solutions to this ODE are \(e^{-2x/5}\) and \(e^{2x}\), so we can safely assume a particular solution of the form

\(y_p=(ax+b)e^{3x}\)

with derivatives

\({y_p}'=ae^{3x}+3(ax+b)e^{3x}=(3ax+a+3b)e^{3x}\)

\({y_p}''=3ae^{3x}+3(3ax+a+3b)e^{3x}=(9ax+6a+9b)e^{3x}\)

Substitute these expressions into the ODE and solve for a and b. Notice that each term on either side contains a factor of \(e^{3x}\), which we can cancel.

\(-\dfrac54(9ax+6a+9b)+2(3ax+a+3b)+(ax+b)=3x\)

\(-\dfrac{17a}4x-\left(\dfrac{11a}2+\dfrac{17b}4\right)=3x\)

\(\implies\begin{cases}-\frac{17a}4=3\\\frac{11a}2+\frac{17b}4=0\end{cases}\)

\(\implies a=-\dfrac{12}{17}\text{ and }b=\dfrac{264}{289}\)

So the particular solution is

\(y_p=\left(-\dfrac{12x}{17}+\dfrac{264}{289}\right)e^{3x}=\boxed{\dfrac{12}{289}(22-17x)e^{3x}}\)

The time Jack left Santa Clara is 1 : 55 pm

A word problem in math is a math question written as one sentence or more. These statements are interpreted into mathematical equation or expression.

The time for Jack to walk to lose Altos is 25 min and he uses another 25mins to work to Palo alto.

Therefore, the total time he spent is

25mins + 25 mins = 50 mins

He arrived Palo at 2 :45 pm, therefore the time he left Santa Clare will be ;

2:45 pm = 14 :45

= 14:45 - 50mins

= 13:55

= 1 : 55pm

Therefore he left at 1:55 pm

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Answer:

1 2 3 4 5 6 7 8 9 10

Step-by-step explanation:

Answer:

1 2 3 4 5 6 7 8 9 10 _ ...........

Answer:

p = $150

Step-by-step explanation:

Let p represent the original price.  Then 10% of that is the discount:  0.10p.

The price after discount is 90% of the original price, or (1.00-0.10)p = 0.90p = $135.  We next solve this equation for p:  0.90p = $135, or p = $150.

Answer:

52.2

....

....

...

..

.....

....

Answer:

no

Step-by-step explanation:

Answer:

α =  143.13⁰

Step-by-step explanation:

Given;

\(Sin \ \alpha = \frac{3}{5} \ \ , \frac{\pi}{2} <\alpha < \pi\)

α is determined as follows;

⇒find the arcsine of ³/₅

\(\alpha = sin^{-1}(\frac{3}{5} )\\\\\alpha = sin^{-1}(0.6)\\\\\alpha = 36.87 ^0 = 180^0 - 36.87^0 = 143.13^0\)

\(Thus, \frac{\pi}{2} < 143.13^0 <\pi\)

Therefore, the value of α  that satisfies the given range value is 143.13⁰

The length of side AB in right angled triangle ABC  will be 48 cm.

Every triangle with one 90° angle is said to have a right angle. The triangle with a right angle is known as a right triangle because a right angle is 90 degrees.The longest side of a right angle is known as the hypotenuse, and it is opposite the right angle.

Given,

∠B= 90°, AC = 96 cm, ∠C = 30°

Now, we know, Trignometric ratio sin θ in triangle can be given by-:

sin θ = \(\frac{perpendicular}{hypotenuse}\)

From given figure,

Perpendicular= AB= ?

and Hypotenuse= AC = 96

and θ= 30°

Hence,

sin 30° =\(\frac{perpendicular}{hypotenuse}\)= \(\frac{AB}{96}\)

\(\frac{1}{2} = \frac{AB}{96}\)                                      (∵ sin 30°= 1/2)

\(AB=\frac{96}{2}\)

\(AB= 48 cm\)

Thus, AB= 48 cm

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Correct Question:ABC is a right angled triangle. if B = 90°, AC = 96 cm, C = 30°. Find AB = ?

An investment of $6,400 to increase to $14,000 if it is invested at 5% per year compounded continuously is ≈15.6

Define compound interest?

Given that :

P = $ 6,400

Q = $ 14,000

r = 5%

Let P be the initial investment

r be the rate of interest

t be the time

Q be the increase amount

Q = P \(e^{rt} }\)

14,000 = 6,400 (\(e^{0.05t}\))

\(e^{0.05t}\) = \(\frac{14000}{6400}\)

\(e^{0.05t}\)  = 2.187

Taking log on both sides , we get

0.05t = ln (2.187)

0.05t = 0.78

       t = \(\frac{0.78}{0.05}\)

       t ≈ 15.6

An investment of $6,400 to increase to $14,000 if it is invested at 5% per year compounded continuously is ≈ 15.6

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Answer:

this is the final answer

thankyou

Step-by-step explanation:

V=lwh

3

The total amount of sugar that was consumed by Kylie in the past nine (9) days is equal to 3 units of sugar.

In Mathematics and Statistics, a line plot refers a type of graph that is used to graphically represent a data set above a number line, while using crosses, dots, or any other mathematical symbol.

Based on the data and information provided in the line plot shown in the image attached above, we can calculate the total amount of sugar that was consumed by Kylie in the past nine (9) days as follows:

Total sugar consumed = (1/8 + 1/8 + 1/8) + 1/4 + (3/8 + 3/8 + 3/8) + (5/8 + 5/8)

Total sugar consumed = 3(1/8) + 1/4 + 3(3/8) + 2(5/8)

Total sugar consumed = 3/8 + 1/4 + 9/8 + 10/8

Total sugar consumed = 22/8 + 1/4

Total sugar consumed = (22 + 2)/8

Total sugar consumed = 24/8

Total sugar consumed = 3 units of sugar.

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By analyzing the graph and evaluating the objective function at each vertex of the feasible region, we can find the optimal solution, which is the vertex that maximizes the objective function z = 3x + y.

To find the optimal solution of the given problem using the graphical method, we need to plot the feasible region determined by the given constraints and then identify the point within that region that maximizes the objective function.

Let's start by graphing the constraints:

1. Plot the line 2x - y = 5. To do this, find two points on the line by setting x = 0 and solving for y, and setting y = 0 and solving for x. Connect the two points to draw the line.

2. Plot the line -x + 3y = 6 using a similar process.

3. The x-axis and y-axis represent the constraints x ≥ 0 and y ≥ 0, respectively.

Next, identify the feasible region, which is the region where all the constraints are satisfied. This region will be the intersection of the shaded regions determined by each constraint.

Finally, we need to identify the point within the feasible region that maximizes the objective function z = 3x + y. The optimal solution will be the vertex of the feasible region that gives the highest value for the objective function. This can be determined by evaluating the objective function at each vertex and comparing the values.

Note: Without a specific graph or additional information, it is not possible to provide the precise coordinates of the optimal solution in this case.

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Answer:

$9.49

Step-by-step explanation:

you take the $56.94 and divide by 6 to get the unit price

The number of tickets that will be sold is 5560.

What is division?

A division is one of the fundamental mathematical operations that divides a larger number into smaller groups with the same number of components. How many total groups will be established, for instance, if 20 students need to be separated into groups of five for a sporting event? The division operation makes it simple to tackle such issues. Divide 20 by 5 in this case. 20 x 5 = 4 will be the outcome. There will therefore be 4 groups with 5 students each. By multiplying 4 by 5 and receiving the result 20, you may confirm this value.

Ticket sales for Six Flags White Water totaled $94,520 this summer.

Tickets for the water park cost $17 each.

The number of tickets sold will be = 94520/17 = 5560.

Hence, the number of tickets that will be sold is 5560.

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One would pay $5,232.96 in interest over the 5-year loan term.

To get interest paid on the loan, we will the formula for compound interest \(Interest = Principal * (1 + Annual Interest Rate)^{Number of Years} - Principal\)

The principal is the loan amount which is $9,000.

The annual interest rate is 9.6%

The number of years is 5.

Interest = $9,000 * (1 + 0.096)^(5) - $9,000

Interest = $9,000 * 1.58144018701 - $9,000

Interest = $5,232.96168

Interest = $5,232.96.

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Answer:

  D. Square

Step-by-step explanation:

You want the best name for the quadrilateral with vertices (-3, 0), (-3, -3), (0, -3), and (0, 0).

A graph of the points is shown in the attachment. We notice the vertices are aligned with the grid, so the corner angles are all right angles.

The differences of x-coordinates and y-coordinates are both 3, so the side lengths of this rectangle are all 3 units.

The figure is all of a rectangle, rhombus, and square.

The most specific name for the figure is Square.

__

Additional comment

A trapezoid has one pair of parallel sides. This figure has two pairs of parallel sides, so is not a trapezoid.

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Answer:

Step-by-step explanation:

Answer:

19/20 , 1 1/4 , 1 4/5

Step-by-step explanation:

1.8 = 1 4/5 (fraction)

1.8 converts to 18/10. This can be simplified twice, firstly by making it 9/5 since both 18 and 10 are divisible by two, but can be simplified further to 1 4/5

1.25 = 1 1/4 (fraction)

1.25 converts to 125/100. This can be simplified to 5/4 or 1 1/4

0.95 = 19/20 (fraction)

0.95 converts to 95/100. This can be simplified to 19/20

Ascending Order (smallest to largest)

smallest - 19/20

middle - 1 1/4

largest - 1 4/5

I believe this is the right answer, but haven't done fractions in a while so may want to double check to make sure

Answer:

We cannot agree with Andre because x = 3.

Step-by-step explanation:

Assuming the diagram is a weighing scale which can also be represented as an equation having two sides that is balanced. We can express the situation as follows using equation:

x + 2 = 5

Solve for x

x + 2 - 2 = 5 - 2 (subtraction property of equality)

x = 3

If you plug in the value of x on the diagram given, the scale becomes balance on each side.

Therefore, x = 3. Andre is wrong and we cannot agree with Andre.

Answer:

AOB = 73

BOC = 107

Step-by-step explanation:

So make an equation.

9x + 27 = 180

9x = 153

x = 17

AOB = 73

BOC = 107

Answer: 2sqrt(13)

Step-by-step explanation:

Using the distance formula, we get:

\(\sqrt{(9-5)^{2}+(3-(-3))^{2}}=\sqrt{16+36}=\sqrt{52}=2\sqrt{13}\)

Answer: 7

This is a seventh degree polynomial.

Step-by-step explanation:

The degree of the polynomial is the highest exponent.

Step-by-step explanation:

7 is the degree of the polynomial

7 is the highest exponent.

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The graph of a proportional relationship can be described as a graph that always starts at point zero and is always a straight line graph.

A straight line graph is defined as the type of graph that is also called a linear graph which shows a relationship between two or more quantities that uses a graphical form of representation.

There are some characteristics that shows that a graph is of proportional relationship which include the following:

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Answer:

100

Step-by-step explanation: : )

.

Step-by-step explanation:

\(\sin(\theta + \phi) = 2\cos(\theta - \phi)\)

Using the addition identity formulas, we can write

\(\sin{\theta}\cos{\phi} + \cos{\theta}\sin{\phi} = 2\cos{\theta}\cos{\phi} + 2\sin{\theta}\sin{\phi}\)

Dividing both sides by \(\cos{\phi}\), we get

\(\sin{\theta} + \cos{\theta}\tan{\phi} = 2\cos{\theta} + 2\sin{\theta}\tan{\phi}\)

Dividing both sides by \(\sin{\theta}\), we get

\(\tan{\theta} + \tan{\phi} = 2 + 2\tan{\theta}\tan{\phi}\)

or

\(\tan{\theta}(1 - 2\tan{\phi}) = 2 - \tan{\phi}\)

Rearranging the terms,

\(\tan{\theta} = \dfrac{2 - \tan{\phi}}{1 - 2\tan{\phi}}\)