The height of a right square pyramid is multiplied by 6, but the area of the base remains fixed. What is the volume of the taller pyramid divided by the volume of the shorter pyramid ?

The graph of the function is attached and the amplitude and the period are 5 and 2π

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

f(x) = 5cos(θ)

A sinusoidal function is represented as

f(x) = Acos(B(x + C)) + D

Where

So, we have

A = 5

Period = 2π/1

Evaluate

A = 5

Period = 2π

Hence, the amplitude is 5 and the period is 2π

The graph of the function is attached

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Answer:

The correct option is the first:

∃ an integer d such that 6d is an integer and d ≠ 3

Step-by-step explanation:

If 6d is an integer, then d = 3

Let's divide the statement into two:

Let "If 6d is an integer" be p and "then d = 3" be q.

The statement is a conditional statement. Therefore, we have

p ⇒ q

The negation of p ⇒q, ¬(p ⇒ q) ≡ p ∧ ¬q

I have attached an image proving the above.

Using this: ¬(p ⇒ q) ≡ p ∧ ¬q

Then, we leave p as it is and negate q.

P is "if 6d is an integer"

q is "then d = 3," hence ¬q is "then d ≠ 3."

Therefore, the negation of "If 6d is an integer, then d = 3" is "If 6d is an integer, then d ≠ 3."

The correct option is the first:

∃ an integer d such that 6d is an integer and d ≠ 3

We can solve both limits by using Riemann sums, which is represented by the following:

Then, for our function:

Answer:

415 miles

Step-by-step explanation:

Start with the speed equation:

speed = distance/time

Now solve the speed equation for distance:

distance = speed × time

Apply the speed equation solved for distance to the two parts of the trip.

4 hours at 55 mph:

distance = 55 mph × 4 hours = 220 miles

3 hours at 65 mph:

distance = 65 mph × 3 hours = 195 miles

Add the two distances to find the total distance:

total distance = 220 miles + 195 miles = 415 miles

Answer: 415 miles

Answer:

415 miles

Step-by-step explanation:

Simon drove 55 miles per hour for 4 hours then 65 miles per hour for 3 hours.

How far did he drive?

d=rt

For the first part of the trip:

d = 55 * 4 = 220 miles

For the second part of the trip:

d = 65*3 =195 miles

Add the miles together

220+195 = 415 miles

20 is not a perfect square.

36 = 6 times 6.

49 = 7 times 7.

68 is not a perfect square.

121 = 11 times 11.

400 = 20 times 20.

Hope this helps

Adjoa’s gross salary for last month was Ghc4,687.24. If Ghc421.78 was deducted from Adjoa’s salary pay, the take-home pay that Adjoa earn in the past month is Ghc4,265.46

The gross salary is the amount received by an individual prior to the deduction of the taxes.

Given that:

Then, the take-home that Adjoa earned in the past month is calculated by removing the amount deducted from her gross salary.

i.e.

= Ghc4687.24 - Ghc421.78

= Ghc4,265.46

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\(2x^{6}\) is the Simplify of the expression   2x² x x³

\(2x^{2} xx^{3} = 2x^{6}\)

what is simplify?

To simplify means to make anything basic or simpler, for example. a: to reduce to the bare minimum. b: to become simpler or broader in scope: It was advised to streamline management processes.

The fundamental guidelines and procedures to simplify any algebraic statement are as follows:

When you describe a complex mathematical idea to a child in words they can easily understand, you are simplifying. When you eliminate many of the tasks that were keeping you occupied and stressed out, you have simplified.

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The mean absolute deviation is 0.75

To calculate the mean absolute deviation (M.A.D.), you need to find the average of the absolute differences between each data point and the mean of the data set

From the information given, we have that the data set is;

8 9 9 7 8 6 9 8

Let's calculate the mean, we get;

Mean = (8 + 9 + 9 + 7 + 8 + 6 + 9 + 8) / 8

Mean = 64 / 8

Divide the values

Mean = 8

Let's determine the absolute difference, we get;

Absolute differences=

|8 - 8| = 0

|9 - 8| = 1

|9 - 8| = 1

|7 - 8| = 1

|8 - 8| = 0

|6 - 8| = 2

|9 - 8| = 1

|8 - 8| = 0

Find the mean of the absolute differences:

Average of absolute differences = (0 + 1 + 1 + 1 + 0 + 2 + 1 + 0) / 8

Absolute difference = 6 / 8 = 0.75

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Answers:

A, B, D, E

Nearly everything except choice C is true.

====================================================

Explanation:

Answer:

The sum of the first 70 terms of the sequence \(-6, -3,0,3,6, ...\) is 6825.

Step-by-step explanation:

A sequence is a set of numbers that are in order.

In an Arithmetic Sequence the difference between one term and the next is a constant.

\(-6, -3,0,3,6, ...\) This sequence has a difference of 3 between each number.

The sum of an arithmetic series is found by multiplying the number of terms times the average of the first and last terms.

                                          \(S_n=\frac{n}{2}(2a_1+(n-1)d)\)

where \(n\) = the number of terms, \(a_1\) = the first term, and \(d\) = the common difference.

For our arithmetic sequence, the values of a, d and n are:

So:

\(S_{70}=\frac{70}{2}(2(-6)+(70-1)3)\\\\S_{70}=35\left(3\left(70-1\right)-2\cdot \:6\right)=35\left(207-12\right)=35\cdot \:195)=6825\)

Answer:

C. y=36(1.2)t

Step-by-step explanation:

The number of members in the Club in t years after 2001 is given by an equation in the following format:

\(y = y(0)(1+r)^{t}\)

In which y(0) is the number of members in 2001 and r is the growth rate, as a decimal.

The number of members in the Triathlon Club was 36 in 2001 and has increased by 20% each year.

This means that \(y(0) = 36, r = 0.2\)

So

\(y = y(0)(1+r)^{t}\)

\(y = 36(1+0.2)^{t}\)

\(y = 36(1.2)^{t}\)

The correct answer is C.

Answer:

6543

Step-by-step explanation:

Not much to explain lol

Here,

Odd numbers are 3 and 5.

The largest odd number =6543

The measure of the hypotenuse of the right-angle triangle is 53.21 feet.

Given that:

Perpendicular, P = 50 feet

Angle, Ф = 70°

It's a form of a triangle with one 90-degree angle that follows Pythagoras' theorem and can be solved using the trigonometry function.

The measure of the hypotenuse of the right-angle triangle is calculated as,

sinФ = P/H

sin 70° = 50 / x

x = 53.21 feet

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Answer:

4*9

Step-by-step explanation:

It's obvious.

If we substitute x = 21 into the equation Y = 25 - 2x, we get:

Y = 25 - 2(21)

Y = 25 - 42

Y = -17

Therefore, if x = 21, then Y = -17.

If we substitute x = 19 into the equation Y = 25 - 2x, we get:

Y = 25 - 2(19)

Y = 25 - 38

Y = -13

Therefore, if x = 19, then Y = -13.

By answering the presented question, we may conclude that She spends equation 40% of her time at work and 15% of her time on other hobbies. She spends 20% of her time napping.

In mathematics, an equation is an assertion that affirms the equivalence of two factors. An algebraic equation (=) separates two sides of an equation. For instance, the assertion  \("2x + 3 = 9"\) states that the word  \("2x + 3"\) Corresponds to the number "9".

The goal of solution solving is to figure out which variable(s) must still be adjusted for the equations to be true. It is possible to have simple or intricate equations, recurring or complex equations, and equations with one or more components.

For example, in the equations \("x2 + 2x - 3 = 0\)  ," the variable x is lifted to the powercell. Lines are utilized in many areas of mathematics, include algebra, arithmetic, and geometry.

Abby, according to the picture, spent:

She spends 25% of her time in school.

She spends 40% of her time at work and 15% of her time on other hobbies.

Therefore, Furthermore, she spends  \(20\) of her time napping.

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Answer:

0

Step-by-step explanation:

The determinant of the coefficient matrix of the system is zero, since every coefficient is equal to zero.

Answer:

A = 2700   M = 2100 dollars

Step-by-step explanation:

9 + 7 = 16 shares

  2 shares more = 600

       1 share = 300

9 shares * 300 = 2700

7 shares x 300 = 2100

Answer: 54 square inches and 18 square inches

Explanation:

The formula for the area of a trapezoid is the sum of the top and bottom bases divided by 2, multiplied by the height.

In the first picture the bases are 6 and 12, and the height is 6, so the formula would look like this:

\(\frac{6+12}{2} *6\)

=\(\frac{18}{2} *6\)

=\(9*6\)

=54

54 \(in.^{2}\) is the answer to the first problem.

Following the same method, we can do the next problem the same way:

\(\frac{4+8}{2} *3\)

=\(\frac{12}{2} *3\)

=\(6*3\)

=18

18 \(in.^{2}\) is the answer to the second problem.

Certainly! The problem can be solved using the Pythagorean theorem,

which states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.

In this case, the ladder acts as the hypotenuse, and we need to find the length of the vertical side (height) it reaches up the wall.

The ladder forms the hypotenuse, and its length is given as 12 meters. The distance from the foot of the ladder to the base of the wall represents one side of the triangle, which is 4.5 meters.

By substituting the given values into the Pythagorean theorem equation: (12m)^2 = h^2 + (4.5m)^2, we can solve for the unknown height 'h'.

Squaring 12m gives us 144m^2, and squaring 4.5m yields 20.25m^2. By subtracting 20.25m^2 from both sides of the equation, we isolate 'h^2'.

We then take the square root of both sides to find 'h'. The square root of 123.75m^2 is approximately 11.12m.

Therefore, the ladder reaches a height of approximately 11.12 meters up the wall.

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Answer:

The speed of the plane in the still air is 420 miles/hour

The speed of the wind 60 miles/hour

Step-by-step explanation:

Let the speed of the plane with the wind be v

Let the speed of the plane against the wind be u

Now, speed = distance/time

With the wind,

v = (1440 miles)/(3 hours) = 480 miles/hour

v = 480 miles/hour

Against the wind,

u = (1440 miles)/(4 hours) = 360 miles/hour

u = 360 miles/hour

Now, let the speed of plane be p, and speed of wind be w,

Now, with the wind, the speed is 480 mph,

so,

speed of plane + speed of wind = 480 mph

p + w = 480  (i)

and against the wind, the speed is 360 mph,

so,

speed of plane - speed of wind = 360mph

p-w = 360 (ii)

adding equations (i) and (ii), we get,

p+w + p-w = 480 + 360

2p = 840

p = 840/2

p = 420 miles/hour

Then, the speed of the wind will be,

p + w = 480,

420 + w = 480

w = 480 - 420

w = 60 miles/hour

The speed of the plane in still air is calculated to be 420 mph, and the speed of the wind is calculated to be 60 mph by solving the two simultaneous equations obtained from the time, rate, and distance relationship.

This problem is about the rate, time, and distance relationships. The rate at which the airplane travels in still air is r (unaffected by wind), and the speed of the wind is w. When the plane flies with the wind, it is 'assisted' and therefore travels faster - at a speed of (r + w); against the wind, it travels slower - at a speed of (r - w).

From the problem, we know that:

By solving these two equations, we get the following:

Adding these two gives 2r = 840 => r = 420 mph (the speed of the plane in still air), and subtracting gives 2w = 120 => w = 60 mph (the speed of the wind).

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Answer:

   y = -x + 3/2

Step-by-step explanation:

Step-by-step explanation:

31 + 6x + x + 16 = 180

7x + 47 = 180

7x = 180 - 47

x = 133/7

x = 19

Correction in point 1: Purchases of supplies for cash during December were $3,300. Supplies on hand at the end of December equal $2,800.

What is Journal Entry?

The act of recording any economic transactions is called a journal entry. An accounting journal lists transactions and displays a company's debit and credit balances. Each recording in the journal entry can be either a debit or a credit, and it can be made up of multiple recordings. The way an accounting transaction is entered into a company's accounting records is through an accounting journal entry.

This question is related to the account and finance subject.

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Answer:

ajjvtjeiqwchiedgvgfeggyryftyyyug ytugttbghg

Step-by-step explanation:

\(3 \frac{3}{4} = \frac{3 \times 4 + 3}{4} = \frac{15}{9} \\ \)

Answer:

No they are not parallel.  

Step-by-step explanation:

You have to figure out the slopes of each set of points. For  (-5,3) and (-6,-1) the slope is 4 and for  (3,-2) and (2,-7) the slope is 5. You can only have parallel lines if the slope is same and the y- ints are different. Here the slopes aren't same.

Sorry If im wrong. Hope this helps!

The two given lines are not parallel.

The slope is the ratio of the vertical changes to the horizontal changes between two points of the line.

Its slope would be:

\(m = \dfrac{y-q}{x-p}\)

Slope of parallel lines are same. Slopes of perpendicular lines are negative reciprocal of each other.

We are given that;

The points= (-5,3) and (-6,-1),  (3,-2) and (2,-7)

Now,

For line A, let’s use (-5, 3) and (-6, -1) as the two points. Plugging these values into the formula, we get:

m = (-1 - 3) / (-6 - (-5)) = -4 / -1 = 4

So, the slope of line A is 4.

For line B, let’s use (3, -2) and (2, -7) as the two points. Plugging these values into the formula, we get:

m = (-7 - (-2)) / (2 - 3) = -5 / -1 = 5

Hence, the slope of line B is 5.

Since the slopes of line A and line B are not equal (4 ≠ 5),

Therefore, by the slope the answer will be they are not parallel.

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Answer:

3.44

Step-by-step explanation:

Another way to rewrite this question is 18.576/5.4. (18.576 divided by 5.4), and the answer to that is 3.44.

Answer:

30/.06 =500

Step-by-step explanation:

30÷6/100

==>

30*100/6

=500