In Mr. Johnson’s classes, 30% of the students scored a 95 on a quiz. Let be the total number of students in Mr. Johnson’s classes. If 15 students scored a 95, write an equation involving that relates the number of students who scored a 95 to the total number of students in Mr. Johnson’s classes. i need to know this quick!! like by tomorow

Answer:

-3, -7

Step-by-step explanation:

either x + 3 = 0 --> x = -3

or x + 7 = 0 --> x = -7

Answer:

(-3,0) and (-7,0)

Step-by-step explanation:

ABCD can be square if the distance between all four points is the same.

A square is a two-dimensional closed shape with four equal sides and four corners. The opposite sides of the square are parallel to each other. A square is also a rectangle with equal length and width. A square is an equilateral quadrilateral with all four equal sides and all four equal angles. Square angles are right angles or 90 degrees. Also, the diagonals of the square are equal and bisect at 90 degrees. A square is just a quadrilateral with four equal sides. There are many rectangular objects around us.

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In order to calculate the new divisor for a 3-for-4 reverse stock split, we must first calculate the new share price for Able. Since 3/4 of the shares are being replaced with just 1/4 of the old shares, the new price for Able will be $111 (3 x $37 = $111).

The divisor is used to calculate the new index value by dividing the sum of the new share prices by the divisor. Therefore, the new divisor will be 1.33 ($111 + $312 + $94 = $517 / 1.33 = $389.28). This is because the new share prices will total $517 and when you divide that by the divisor, the index value will be $389.28.

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The solution to the given initial value problem is \(\(y(t) = 2 + 4\cos(t) + 4\sin(t) - t\cos(t) + \sin(t)\ln|\cos(t)|\)\). This answer consists of the trigonometric functions of sine and cosine as well as a logarithmic term involving the absolute value of the cosine function.

We can begin by resolving the corresponding homogeneous equation in order to arrive at this solution  \(\(y'' + y' = 0\)\). The characteristic equation \(\(r^2 + r = 0\)\) has roots \(\(r_1 = 0\)\) and \(\(r_2 = -1\)\). Thus, the homogeneous equation's general solution is \(\(y_h(t) = C_1 + C_2e^{-t}\)\), where \(\(C_1\) and \(C_2\)\) are arbitrary constants.

Next, we must identify a specific non-homogeneous equation solution  \(\(y'' + y' = \sec(t)\)\). We can make an educated guess at a specific solution in the form because the right-hand side is not a polynomial.\(\(y_p(t) = A\cos(t) + B\sin(t) + C\ln|\cos(t)|\)\), where \(\(A\), \(B\), and \(C\)\) are constants to be determined. By substituting this guess into the differential equation, we find that \(\(A = 2\), \(B = 4\), and \(C = -1\)\).

We eventually combine the general and specific solutions to the homogeneous equation to obtain the whole result.

\(\(y(t) = y_h(t) + y_p(t) = C_1 + C_2e^{-t} + 2\cos(t) + 4\sin(t) - \cos(t)\ln|\cos(t)|\)\)

Applying the initial conditions \(\(y(0) = 6\)\) and \(\(y'(0) = -4\)\), we can solve for the constants \(\(C_1\)\) and \(\(C_2\)\) and arrive at the solution mentioned above.

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Answer:

3.3lbs

Step-by-step explanation:

5 x 2/3 = 3.3

The ending dollar balance in inventory, using the FIFO method, is $973.

The cost of each sold unit must be tracked according to the sequence of the unit's purchase if we are to use the FIFO (First-In, First-Out) approach to calculate the ending dollar balance in inventory.

Let's begin by utilizing the FIFO approach to get COGS or the cost of goods sold. In order to attain the total number of units sold, we first sell the units from the earliest purchase (First Purchase) before moving on to the units from the second purchase (Second Purchase).

First Purchase:

Number of Units: 130

Cost per unit: $3.1

Second Purchase:

Number of Units: 451

Cost per unit: $3.5

We compute the cost based on the cost per unit from the First Purchase until we reach the total amount sold to estimate the cost of goods sold (COGS) for the 303 units sold:

Units sold from First Purchase: 130 units

COGS from First Purchase: 130 units × $3.1 = $403

Units remaining to be sold: 303 - 130 = 173 units

Units sold from Second Purchase: 173 units

COGS from Second Purchase: 173 units × $3.5 = $605.5

Total COGS = COGS from First Purchase + COGS from Second Purchase

Total COGS = $403 + $605.5 = $1,008.5

To calculate the ending dollar balance in inventory, we need to subtract the COGS from the total cost of inventory.

Total cost of inventory = (Quantity of First Purchase × Cost per unit) + (Quantity of Second Purchase × Cost per unit)

Total cost of inventory = (130 units × $3.1) + (451 units × $3.5)

Total cost of inventory = $403 + $1,578.5 = $1,981.5

Ending dollar balance in inventory = Total cost of inventory - COGS

Ending dollar balance in inventory = $1,981.5 - $1,008.5 = $973

Therefore, the ending dollar balance in inventory, using the FIFO method, is $973.

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Answer:

CED = 117

Step-by-step explanation:

21x +21 = 7x +49

21x - 7x = 49 - 21

14x = 28

x = 28/14

x = 2

7x + 49

=7(2) + 49

=14 + 49

=63

180 -63 = 117

CED= 117

Answer:

7x+49=21x+21 ( vertically opposite side are equal )

49-21=21x-7x

28=14x

x=28÷14

x=2

hence, putting the value of x

7x+49=7×2+49

=63

21x+21=21×2+21

=63

You plan to construct a brick wall measuring 14.5 ft. in length, 5.5 ft. high, and 0.5 ft. in width. If a brick measures 6 in. x 4 in. x 2 in. you will need 3,240 bricks.

The volume of the cuboid is the product of the length, breadth, and height of the given prism.

Volume of cuboid = (length x width x height)

We have given that

Dimensions of a brick wall is given by

Length = 14.5 feet

Width = 0.5 feet

Height = 5.5 feet

Dimensions of a brick is given by

Length = 6 inch

Width = 4 inch

Height = 2 inch

First of all, we will convert the dimensions of a wall from feet into inches.

1 feet = 12 inch

15 feet = 12*15 inch = 180 inch

6 feet = 12*6 inch = 72 inch

We know that volume of a brick wall will be equal to the volume of 'n' bricks, so we can set an equation;

The volume of a brick wall = the volume of 'n' bricks

180 x 72 x 12 = n x 6 x 4 x 2

155520 = n x 48

n = 3240

Therefore, you will need 3,240 bricks.

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Answer:

A: -0.27

B: 1

C: 0.92

Step-by-step explanation:

The given data is,A matched pairs experiment compares the taste of instant with fresh-brewed coffee. Each subject tastes two unmarked cups of coffee, one of each type, in random order and states which he or she prefers.

Of the 60 subjects who participate in the study, 21 prefer the instant coffee. We need to find the probability that a randomly chosen subject prefers fresh-brewed coffee to instant coffee, let's say p. The formula to calculate the proportion of the population is:

p = (n1 + n2) / (x1 + x2)n1 and n2 are the sample sizes of two categories and x1 and x2 are the number of favorable outcomes from the respective categories. Here, n1 = n2 = 60 and x1 = 39 (since 21 out of 60 prefer instant coffee, the remaining 39 must prefer fresh-brewed coffee).Now, p = (60 + 60) / (39 + 21) = 1.2. Since p is a probability, it must be between 0 and 1. But here, p is greater than 1, which is not possible. Therefore, there is an error in the given data and we cannot proceed with the calculation.

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Answer:

$9,011.20

Step-by-step explanation:

I may have messed up with the calculation but I believe the answer is $9,011.20.

Answer:

15,840

Step-by-step explanation:

3 x 24 months = 72

72% of 22,000 = 15,840

:)

To find the value of 'x' in a right triangle with a hypotenuse of 9 and an adjacent side of 4, we can use the Pythagorean theorem.

By applying the theorem and solving the resulting equation, we can determine the value of 'x'.

In a right triangle, the Pythagorean theorem states that the square of the hypotenuse (c) is equal to the sum of the squares of the other two sides (a and b).

In this case, the hypotenuse is given as 9 and the adjacent side (a) is given as 4. Therefore, the equation becomes 9^2 = 4^2 + x^2.

Simplifying the equation, we have 81 = 16 + x^2. By subtracting 16 from both sides, we get x^2 = 65. Taking the square root of both sides, we find x = ±√65. Therefore, the value of 'x' can be either the positive or negative square root of 65, depending on the context of the problem or the constraints given.

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Answer:

-89.41887

Step-by-step explanation:

Answer:

89.41887

.......

........

Answer:

yookiiii8bubub7bssh8ss

1) The amplitude c+ is c+l

2) The expectation value is 0

3) The uncertainty ΔSX is √(3/7) c+.

Now, we know that any wave function can be written as a linear combination of two spin states (up and down), which can be written as:

Ψ = c+ |+> + c- |->

where c+ and c- are complex constants, and |+> and |-> are the two orthogonal spin states such that Sx|+> = +1/2|+> and Sx|-> = -1/2|->.

Hence, we can write the given wave function as:Ψ = c+|+> + i/√7|->

Now, we know that the given wave function has been defined in Sx basis, and not in the basis of |+> and |->.

Therefore, we need to write |+> and |-> in terms of |l> and |r> (where |l> and |r> are two orthogonal spin states such that Sy|l> = i/2|l> and Sy|r> = -i/2|r>).

Now, |+> can be written as:|+> = 1/√2(|l> + |r>)

Similarly, |-> can be written as:|-> = 1/√2(|l> - |r>)

Therefore, the given wave function can be written as:Ψ = (c+/√2)(|l> + |r>) + i/(√7√2)(|l> - |r>)

Therefore, we can write:c+|l> + i/(√7)|r> = (c+/√2)|+> + i/(√7√2)|->

Comparing the coefficients of |+> and |-> on both sides of the above equation, we get:

c+/√2 = c+l/√2 + i/(√7√2)

Therefore, c+ = c+l

The amplitude c+ is a real number and is equal to c+l

The expectation value of the operator Sx is given by: = <Ψ|Sx|Ψ>

Now, Sx|l> = 1/2|r> and Sx|r> = -1/2|l>

Hence, = (c+l*) + (c+l) + (i/√7) - (i/√7)(c+l*)= -i/√7(c+l*) + i/√7(c+l)= 2i/√7 Im(c+)

As c+ is a real number, Im(c+) = 0

Therefore, = 0

The uncertainty ΔSX in the state |Ψ> is given by:

ΔSX = √( - 2)

where = <Ψ|Sx2|Ψ>and2 = (<Ψ|Sx|Ψ>)2

Now, Sx2|l> = 1/4|l> and Sx2|r> = 1/4|r>

Hence, = (c+l*) + (c+l) + (i/√7) - (i/√7)(c+l*)= 1/4(c+l* + c+l) + 1/4(c+l + c+l*) + i/(2√7)(c+l* - c+l) - i/(2√7)(c+l - c+l*)= = 1/4(c+l + c+l*)

Now,2 = (2i/√7)2= 4/7ΔSX = √( - 2)= √(1/4(c+l + c+l*) - 4/7)= √(3/14(c+l + c+l*))= √(3/14 * 2c+)= √(3/7) c+

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Average force ≈ 0.208 times the total force exerted in a revolution.

To calculate the average force exerted on the pedals tangent to their circular path, we need to first find the circumference of the pedal circle and then determine the force exerted per revolution.

1. Calculate the circumference of the pedal circle:
Circumference = π * diameter
Circumference = π * 0.344 m (converted 34.4 cm to meters)
Circumference ≈ 1.081 m

2. Calculate the force exerted per revolution:
We are given that each complete revolution moves the bike 5.20 m along its path. The force exerted per revolution is directly proportional to the work done.
 
Work done = Force * distance
Force = Work done / distance
Force = Work done / (5.20 m / 1.081 m)

Since the work done by friction and other losses is neglected, we only need to know the ratio of distances to determine the average force exerted on the pedals tangent to their circular path. Therefore,

Average force = 1.081 m / 5.20 m
Average force ≈ 0.208 times the total force exerted in a revolution.

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Answer: 192,000

Step-by-step explanation:

The curved surface area of a cylinder with radius of 7 cm and height of 15 cm is 259.7 cm²

An equation is an expression that shows how two numbers and variables are related using mathematical operations such as addition, subtraction, exponent, division and multiplication.

The curved surface area of a cylinder is:

Curved surface area = 2π * radius * height

From the image:

Radius = 7 cm, height = 15 cm, therefore:

Curved surface area = 2π * 7 cm * 15 cm = 259.7 cm²

The curved surface area is 259.7 cm²

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The volume of a cone with the same radius and height as a cylinder with volume 300 is 100.

What is the Volume?

Volume is a measure of the amount of space that an object occupies. It is a three-dimensional measurement that is typically expressed in cubic units.

A cylinder with volume 300 and radius "r" has a height "h" given by the formula:

V = πr²h

So, h = V / (πr^2) = 300 / (πr²).

A cone with the same radius "r" and height "h" as the cylinder has a volume given by the formula:

V = (1/3)πr²h

Plugging in the values of "r" and "h" obtained above, we get:

V = (1/3)πr²h = (1/3)πr² (300 / (πr²)) = 100.

Hence, the volume of a cone with the same radius and height as a cylinder with volume 300 is 100.

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Answer:

y=1/5 x -4

Step-by-step explanation:

Basically, we first start with perpendicular. Note that 2 lines' that are perpendicular have product = -1. Thus, the slope of the line (in question) is 1/5.

Now, we know y = mx + b by slope intercept. Note that y intercept means (0,-4). Thus, plugging in give the answer.

Hope this helps! (Please mark brainliest :))

Answer:

Ok I gotchu!

5/16 I think-

Step-by-step explanation:

Accoding to the calculations , the correct answer is:

A) Depreciation charge 16,000; revaluation surplus £20,000

According to IAS 16 Property, Plant and Equipment, the depreciation charge for an asset should be based on its carrying amount, useful life, and residual value.

In this case, the buildings were purchased for £400,000 (£480,000 - £80,000) and had a useful life of 25 years. Since there is no residual value, the depreciable amount is equal to the initial cost of the buildings (£400,000).

To calculate the annual depreciation charge, we divide the depreciable amount by the useful life:

£400,000 / 25 = £16,000

Therefore, the depreciation charge for the year ended 30 September 2021 is £16,000.

Now, let's calculate the balance on the revaluation surplus as at that date.

The revaluation surplus is the difference between the fair value of the property and its carrying amount. On 1 October 2020, the property was revalued to £500,000, and the carrying amount was £480,000 (£400,000 for buildings + £80,000 for land).

Revaluation surplus = Fair value - Carrying amount

Revaluation surplus = £500,000 - £480,000

Revaluation surplus = £20,000

Therefore, the balance on the revaluation surplus as at 30 September 2021 is £20,000.

Based on the calculations above, the correct answer is:

A) Depreciation charge £16,000; revaluation surplus £20,000

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Answer:

Route A is 0.75 km longer than route B.

Step-by-step explanation:

Length of route A is 1.5 times the length of route B.

a = 1.5b

\(\frac{a}{b}=\frac{15}{10}\)

\(\frac{a}{b}=\frac{3}{2}\) --------(1)

Here, a = Length of route A

b = Length of route B

Length of route A is \(\frac{3}{4}\) of route C.

a = \(\frac{3}{4}c\)

\(\frac{a}{c}=\frac{3}{4}\) ------(2)

Here, c = Length of route C

Length of route C = 3 km

Length of route A = \(\frac{3}{4}\times 3\) [From equation (2)]

                             = 2.25 km

Length of route B = \(\frac{2}{3}\times 2.25\) [From equation (1)]

                             = 1.5 km

Difference in route A and route B = 2.25 - 1.5

                                                       = 0.75 km

Therefore, route A is 0.75 km longer than route B.

Answer:

He has to route 23 calls

Step-by-step explanation:

If he spends 2 mins in each phone call, and he'll spend 46 mins routing calls. Your answer is 23 sense 46 divided by 2 is 23

 Robert have to route 23 phone calls to spend a total of  46 minutes on the phone.

" Time is defined as ongoing sequence of certain event during a fixed period."

According to the question,

Time taken by Robert for routing each incoming phone = 2minutes.

Number of phone calls Robert route in 1 minute = 1 / 2

Number of phone calls Robert route in 46 minutes = (1 / 2) × 46

                                                                                       = 23 phone calls

Hence,  Robert have to route 23 phone calls to spend a total of  46 minutes on the phone.

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Distance is increasing with a speed of 0.2 Miles/Min

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

Time in Minutes      Distance in Miles

0                              0.0

2                              0.4

4                              0.8

6                              1.2

8                              1.6

Here, Myra’s distance is increasing as time increase with a constant Speed.

Now, In every 2 mins distance traveled = 0.4 Miles

Hence, In every 1 min Distance traveled = 0.4/2 = 0.2 Miles/Min

Thus, Distance is increasing with a speed of 0.2 Miles/Min.

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Answer:

25.9

Step-by-step explanation:

25.9

pi-pi+pi/pi is 0+(1*25.9) which is 25.9

Hope this helps :D

Answer:

3.45677

Step-by-step explanation:

The number 3 represents the speed of the pet turtle. And the number 12 represents the distance already covered at t = 0.

Speed is defined as the length traveled by a particle or entity in an hour. It is a scale parameter. It is the ratio of length to duration.

We know that the speed formula

Speed = Distance/Time

A pet turtle strolls towards his food dish at a consistent speed in an orderly fashion. His Distance in inches y from his food dish after X seconds is given by y = 3x + 12.

In the equation, the number 3 represents the speed of the pet turtle. And the number 12 represents the distance already covered at t = 0.

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Answer:

3 cupcakes

Total of $56

Step-by-step explanation:

First we would need to create an expression for the total of each bakery, which would be the following with x representing the number of cupcakes.

2x + 50

4x + 44

Since we know that the total for both bakeries was the same we can simply make the expressions equal to one another and solve for x.

2x + 50 = 4x + 44  ... subtract 2x on both sides

50 = 2x + 44  ... subtract 44 on both sides

6 = 2x   ... divide both sides by 2

3 = x

Finally, we can see that at 3 cupcakes the total for both bakeries will be the same and be a total of

2(3) + 50

6 + 50

$56

Answer:

True

Step-by-step explanation:

An expected value is another term for the mean of a probability distribution. The number of successes in a binomial experiment must range from zero to n. In a binomial experiment, the number of successes can never exceed the number of trials. The probability of a success must exceed the probability of a failure.