the electronic grading machine at john adams elementary can grade 52 multiple choice tests in minute. How long will it take to grade 338 tests

We have a right triangle with sharp angles measuring 30 and 60 degrees, proving the assertion "Triangle with angles A= 30 degrees, B= 60 degrees, C= 90 degrees" to be true.

To assess whether the supplied angles may form a triangle, we can use the knowledge that the total of the angles in a triangle is always 180 degrees. Let's figure up the angles' total:

180 degrees is equal to A + B + C = 30 + 60 + 90.

The supplied angles can definitely form a triangle because the sum of the angles is 180 degrees. We can now utilise the data to identify the kind of triangle.

The angles indicate that a right triangle with a 90-degree angle (angle C) and acute angles of 30 degrees and 60 degrees (angles A and B) exists (angle B).

The measurements of angles A and B are compatible with the available information since the total of the acute angles in a right triangle is always 90 degrees.

Learn more about triangles here:

brainly.com/question/2773823

#SPJ1

Answer:

9.4ft²

Step-by-step explanation:

The formula for the area of a rectangle is base*height, or b*h.

Since we know the final area of the room and one of the side lengths, we can plug those into the formula I just stated so that we get

15*h=141

All that's left to do is solve for h, which is the other side that we are solving for. To do this, we will divide 15 on both sides:

15h/15=141/15

The 15s on the left side cancel out, and we simply divide 141 by 15 to get our final answer of 9.4ft².

Answer:

3 Burrito Bowls

Step-by-step explanation:

32.46 - 12.96 = 19.5

6.5 x 3 = 19.5, so 3 bowls

Answer:

the customer ordered 3 burrito bowls

Step-by-step explanation:

32.46=6.5x+12.96

-12.96 -12.96

19.5=6.5x

3=x

x=# of burrito bowls ordered

Answer is 2

(Nice dog btw)

The sum of 1+1 is equal to 2. When we add 1 to another 1, we are combining or grouping the two quantities, resulting in a total of two. This is a fundamental concept in mathematics, and the process of addition is used to solve a wide range of problems.

There is approximately a 36.11% probability of rolling an odd sum or doubles when a pair of dice is rolled.

Probability is defined as the possibility of an event being equal to the ratio of the number of favorable outcomes and the total number of outcomes.

There are 3 odd numbers among the possible outcomes of each die (1, 3, 5), so there are 3 x 3 = 9 ways to obtain an odd sum:

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

There are 6 possible outcomes for rolling the same number on both dice, so there are 6 ways to obtain doubles:

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

We counted (1,1), (3,3), and (5,5) twice in the above two categories, so we need to subtract 2 from the total count.

Therefore, there are 9 + 6 - 2 = 13 ways to obtain an odd sum or doubles.

Therefore, the probability of rolling an odd sum or doubles is:

P(odd sum or doubles) = 13/36

Thus, there is about a 36.11% probability of rolling an odd sum or doubles when a pair of dice is rolled.

Learn more about the probability here:

brainly.com/question/11234923

#SPJ1

Answer:

(w^4 - 81)(y^4)

Step-by-step explanation:

Answer:

Step-by-step explanation:

i dont undrestand either sorry

The measurement that, in inches, comes closest toward the length equal of a square tile is: 11 in.

A square is a shape that we frequently encounter in our daily lives. Illustrations of square shapes that are frequently used include chess pieces, clock hands, picture frames, pizza boxes, coasters, computer keys, etc.

In the bathroom, Robert is paving the floor.

The area of each square-shaped tile is 120.5 square inches.

Area = side²

side = √Area

side = √120.5

side = 10.97 in

side = 11 in (approx)

The measurement that, in inches, comes closest toward the length equal of a square tile is: 11 in.

Know more about properties of the square

https://brainly.com/question/16533609

#SPJ9

Answer:

2

Step-by-step explanation:

Take out 25% of 8

25/100*8= 2

Required Amount=2

The differential of the function is dy/dy = 6x^(1/2) + 1/2x^(-1 1/2)

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

y= 4x^(3/2)+x^(1/2)

Using the first principle of differentiation, we have

dy/dy = 3/2 * 4x^(3/2 - 1) + 1/2 * x^(1/2 - 2)

Evaluate the expressions

dy/dy = 6x^(1/2) + 1/2x^(-1 1/2)

Hence, the solution is dy/dy = 6x^(1/2) + 1/2x^(-1 1/2)

Read more about derivatives at

https://brainly.com/question/25324584

#SPJ1

The solution to the variable x is 60/7

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

The similar polygons

The scale factor from the big to the small polygon is represented as

Scale factor = 5/7

Using the above as a guide, we have the following:

x = 12 * 5/7

Evaluate

x = 60/7

Hence, the solution is 60/7

Read more about similar shapes at

https://brainly.com/question/14285697

#SPJ1

The vertex of the equation (x - 1)^2 - 9 = 0 is (1. 9)

The vertex of a quadratic equation is the point at which the graph of the equation reaches its maximum or minimum value.

For a quadratic equation in standard form, y = ax^2 + bx + c, the vertex is located at the point (-b/2a, f(-b/2a))

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

(x - 1)^2 - 9 = 0

A quadratic equation is represented as

a(x - h)^2 + k = 0

Where the vertex is

Vertex = (h, k)

Using the above as a guide, we have the following:

Vertex = (h, k) = (1, 9)

Hence, the vertex is (1, 9)

Read more about vertex at

https://brainly.com/question/1480401

#SPJ1

Complete question

How do I find the vertex of the equation

(x - 1)^2 - 9 = 0

B] Ans ~

Given:-

[tex] \: [/tex]

[tex] \: [/tex]

[tex] \: [/tex]

[tex] \: [/tex]

[tex] \small{ \star{ \boxed{ \rm{ \red{Volume \: of \: solid \: = lwh}}}}}[/tex]

[tex] \: [/tex]

[tex] \: [/tex]

[tex] \: [/tex]

[tex] \: [/tex]

[tex] \: [/tex]

━━━━━━━━━━━━━━━━━━━━━━━━━━━

hope it helps! :)

Answer would be shifted up

Step-by-step explanation:

hence the +9 you would be going up 9 units :)

your given information is important because your first piece of info is the y intercept. The y intercept can be interpreted as (0,2). this is your initial point.

once you have that point, you can then use the slope to finish off your linear function. the slope is rise/run.

this means that you have to travel in the y direction, which is your rise. this means you have to go either in the positive or negative, depending on the number. in this case, it's -6, so we would go down 6.

then we would run 5 units in the x direction and same like the x it would be depending on the number being positive or negative. since we have a +5 it means we have to move 5 units to the right should have a graph that looks like a (\).

hope it helps.

The probability that the standard normal deviation variable z is greater than 2.13 is approximately 0.017.

What is standard normal deviation?

The standard normal deviation is a normal distribution with a mean of 0 and a standard deviation of 1. It is also referred to as the standard normal distribution or the z-distribution.

Standardizing a normally distributed variable involves transforming it into a standard normal variable by subtracting the mean of the original distribution from each value and dividing the result by the standard deviation. This transformation is known as standardization or normalization.

According to the question:

Yes, you can use the "normcdf" function on a TI-84 calculator to find the probability that the standard normal deviation variable z is greater than 2.13. Here's how:

Press the "2nd" button, then the "Vars" button to access the DISTR menu.

Scroll down to "2: normalcdf(" and press ENTER.

Enter the lower limit as -9999 (or any number much smaller than -2.13) since we want to find the probability to the right of 2.13.

Enter the upper limit as 2.13.

Enter the mean as 0 and the standard deviation as 1 since we are working with a standard normal distribution.

Press ENTER to get the probability.

The result should be approximately 0.01744. Rounding to three decimal places, we get:

P(z > 2.13) ≈ 0.017.

Therefore, the probability that the standard normal deviation variable z is greater than 2.13 is approximately 0.017.

To know more about standard normal deviation visit:
https://brainly.com/question/30613155
#SPJ1

Answer:198

Step-by-step explanation:

15+15+15+!5

f(6)=72

Explanation:

to evaluate f(6) substitute x = 6 into f(x)

f(6)=2/3×(6x6x6x6x6x6)+(8×6)

=2/3×36+48

24+48=72

72 is your answer

The error occurs in step 2, because according to BODMAS we need to perform multiplication before addition.

The acronym BODMAS rule is used to keep track of the correct order of operations to perform while resolving mathematical statements. BODMAS stands for Brackets, Order of Powers or Roots, Division, Multiplication, Addition, and Subtraction. In some circumstances, the prefix "of" is used as well. This indicates that numerous operator expressions must only be spelled out in this sequence, from left to right. We begin by resolving the brackets, then go on to powers or roots, division or multiplication (depending on which comes first from the left side of the expression), and lastly subtraction or addition (depending on which comes on the left side).

According to the BODMAS multiplication must be performed before addition.

Hence, the error occurs in step 2, because according to BODMAS we need to perform multiplication before addition.

Learn more about BODMAS here:

https://brainly.com/question/16738857

#SPJ1

The quantity of gas that was consumed in the first 3 hours is; 6 gallons.

As evident in the task content;

Speed refers to the magnitude of the velocity or the rate distance is traversed in a given time.

the speed of the vehicle = 60 miles per hour

the quantity of gasoline = 10 gallons.

Since G (t) = 10 - 2t

When t = 3

G (3) = 10 - 2(3)

G(3) = 4 gallons

Ultimately, the quantity of gas consumed in the first 3 hours is;

10 gallons - 4 gallons

= 6 gallons.

Read more on function evaluation;

https://brainly.com/question/2284360

#SPJ1

Answer:

A′(−3, 4.5), B′(−1.5, 1.5), C′(3, −1.5), D′(3, 3)

Step-by-step explanation:

You would take three fourths of each coordinate to get the x and y values.

Answer:

A′(−3, 4.5), B′(−1.5, 1.5), C′(3, −1.5), D′(3, 3)

Step-by-step explanation:

You would take three fourths of each coordinate to get the x and y values.

Answer:

Step-by-step explanation:

1500+7y > 4700 can be solved algebraically to find the value of y that satisfies the inequality.

First, we need to isolate the variable y on one side of the inequality by subtracting 1500 from both sides:

1500 + 7y - 1500 > 4700 - 1500

Simplifying the left-hand side:

7y > 3200

Finally, we isolate y by dividing both sides by 7:

y > 3200/7

Therefore, the solution to the inequality is y > 457.14 (rounded to two decimal places).

Answer:

Step-by-step explanation:

Area of semi circle is 1/2 (πr²)

1/2 (3.14×6²)

56.52 unit²

Answer:

12.7 inches

Step-by-step explanation:

We know that the length of a diagonal is :

[tex]d=a\sqrt{2}[/tex]

Here d = Diagonal of a square

a = Side of a square

Given:

The perimeter of a Square is 36 inches.

Since the formula for the perimeter of a square is 4a

Thus, 4a = 36

⇒ a = 36÷4 = 9 inches

Now,

d = 9×√2 = 12.7 inches

Hence the length of a square is 12.7 inches.

Check the picture below.

[tex]\sin(24^o )=\cfrac{\stackrel{opposite}{y}}{\underset{hypotenuse}{17}}\implies 17\sin(24^o )=y \\\\[-0.35em] ~\dotfill\\\\ \sin(\theta )=\cfrac{\stackrel{opposite}{4}}{\underset{hypotenuse}{y}}\implies \theta =\sin^{-1}\left( \cfrac{4}{y} \right) \\\\\\ \theta =\sin^{-1}\left( \cfrac{4}{17\sin(24^o )} \right)\implies \theta \approx 35.3^o[/tex]

Make sure your calculator is in Degree mode.

In response to the aforementioned query, we may say that The loan's interest future value is $8640 as a result.

By dividing the principal by the interest rate, the passage of time, and other factors, simple interest is determined. Simple return equals principle plus interest plus hours is the formula used in marketing. The easiest way to compute interest is by using this method. The most typical method for calculating interest is as a portion of the principle amount. For example, if he borrows $100 from a buddy and agrees to pay back the loan at 5% interest, he will only pay his share of the 100% interest. $100 (0.05) = $5. When you borrow money, you must pay interest, and you must charge interest when you lend it. Typically, interest is determined as an annual percentage of the loan total. The loan's interest is the name given to this percentage.

Interest is calculated as follows: Principal x Interest Rate x Time

where Principle represents the loan amount, Rate is the interest rate, and Time represents the loan's term in years. We may enter the figures since the loan is for 9 months, or 0.75 years:

Interest: $540 ($8000 x 0.09 x 0.75);

As a result, the student is required to pay interest of $540.

b. The following formula can be used to determine the loan's future value:

Principle x (1 + Rate x Time) = Future Value

where the same values for Principle, Rate, and Time apply as in section a. When we enter the values, we obtain:

Future Value = $8000 x (1 + 0.09 x 0.75), which is $8640.

The loan's future value is $8640 as a result.

To know more about interest visit:

https://brainly.com/question/28792777

#SPJ1

The exponential function is an exponential growth.

The general exponential function is:

f(x) = a*(b)^x

Where a is the initial value and b is the base, if:

b > 1 then it is a growth.

0 < b < 1 then it is a decay.

In this case, b = 1 + r

Where r is the growth rate, in this case is 6%, writting it as a decimal we get:

b = 1 + 6%/100% = 1.06

It is larger than 1, so this is a growth.

Learn more about exponential functions at:

https://brainly.com/question/11464095

#SPJ1

According to the above, the figure rotated 180° would remain as shown in the image in the fourth quadrant of the Cartesian plane (+ , -)

To rotate the figure 180 degrees we must take into account its initial position. Additionally, we must remember that each quadrant is equivalent to 90°, so we would have to rotate it two quadrants. In this case it is not important to know if it rotates counterclockwise or clockwise because we know it will be in quadrant #4.

In this case, we must be guided by the coordinates that the figure has to draw it again. From the above we can see that it has four coordinates at the top. In the case of the figure rotated in quadrant #4, these four coordinates would be at the bottom because the figure has been rotated 180°.

Learn more about rotation in: https://brainly.com/question/1571997

#SPJ1

Correct order of steps for constructing an angle bisector of ∠DEF using only a straightedge and compass is option C.

A angle bisector is a line that bisects an angle into two equal angles. A bisector means dividing a shape or object into two equal parts. When we draw a ray that bisects an angle into two equal parts of equal magnitude, it is called a bisector.

Given,

Compass and straightedge to draw angle bisector of ∠DEF

Steps to draw angle bisector are:

1. Draw a circle with a radius less than DE and center E, and label

the points of intersection G and H.

2. Draw a line from point G to point H.

3. Draw a circle with radius GH and center G and another circle

with radius GH and center H, and then draw an equilateral triangle.

4. Use a straightedge to connect E to the rightmost vertex of the

equilateral triangle.

Hence, option C describes correct order of constructing an angle bisector of ∠DEF using only a straightedge and compass.

Learn more about angle bisector here:

https://brainly.com/question/12896755

#SPJ1

The total cost to paint the room is, $102.375.

We know the perimeter of any 2D figure is the sum of the lengths of all the sides except the circle and the area of a rectangle is the product of its length and width.

Given, A room that is 18 feet long, 14 feet wide, and 8 feet high.

Therefore, The surface area of the room is,

= 18×14×8 aq feet.

= 2016 sq feet.

Now, Paint costs $6.50 a gallon and each gallon covers 128 square feet.

Therefore, The number of gallons of paint required is,

= (2016/128) gallons.

= 15.75 gallons.

So, The total cost of painting is,

= $15.75×6.50.

= $102.375.

learn more about rectangles here :

https://brainly.com/question/29123947

#SPJ9

The value of x is 4/3

The perimeter of a figure is the total sum of the length of all its external sides or boundary.

Given that the rectangle and triangle have the same perimeter, then;

perimeter of the rectangle = 2 (length + width)

                                        = 2[(x + 3) + (x -2)}

                                       = 2(x + 1)

                                       = 2x + 2

perimeter of the triangle = (2x - 2) + (2x - 3) + (x + 3)

                                        = 5x - 2

So that,

perimeter of rectangle = perimeter of triangle

2x + 2 = 5x - 2

2 + 2 = 5x - 2x

4 = 3x

x = 4/3

The value of x is 4/3.

Learn more about the perimeter of figures at https://brainly.com/question/30493107

#SPJ1