a) For what values of k does the function y = cos kt satisfy the differential equation 49y'' = −81y? (Enter your answers as a comma-separated list.).

Answer:

\(550,000\)

Step-by-step explanation:

In order to find the answer to this question remember that when dealing with scientific notation when the exponent is positive move the decimal point to the right, and if the exponent is negative move it to the left.

\(5.5\times10^5\)

Exponent is positive:

55.0.0.0.0.

\(=550,000\)

Hope this helps.

The standard form of 5.5 x 10⁵ is 550,000.

Given that we need to write 5.5 x 10⁵ standard form.​

To write 5.5 x 10⁵ in standard form, we need to convert it to a number without scientific notation.

First, let's understand what 10⁵ means. The exponent 5 indicates that we need to multiply the base number, 10, by itself 5 times.

So, 10⁵ = 10 x 10 x 10 x 10 x 10 = 100,000.

Now, let's multiply 5.5 by 100,000:

5.5 x 100,000 = 550,000.

Therefore, the standard form of 5.5 x 10⁵ is 550,000.

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If the fraction of times an event happened in the past is used as the basis for assigning a probability to the event, this is Empirical probability.

If the events are mutually exclusive, special additional rules can be applied. -Additional general rules can be used if the events are not mutually exclusive. Events A and B must be mutually exclusive.

If the occurrence of one event is not completely affected by the occurrence of another event, such an event is probabilistically called an independent event, and the event affected by another event is a dependent event. Is called dependent events.

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Answer:

8$

Step-by-step explanation:

since it was 26$ worth of snacks, first subtract 74 from 26

74-26= 48$ left

from this 48$, they bought tickets, therefore price for one ticket= 48/6=8$

therefore each ticket cost 8$

Answer:

hope this helps!

Step-by-step explanation:

subtract/divide/a variable

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Answer:

8/35

Step-by-step explanation:

1/5 = 7/35

4/7= 20/35

7/35 + 20/35 = 27/35

35- 27= 8

8/35

fraction spent on garri = 8 /35

She spent 1 /5 of her money on sweet and 4 / 7 on provisions and the remainder on garri.

let

x = money she had

Therefore,

amount spent on sweet = 1 / 5 x

amount spent on provision = 4 / 7 x

Remainder on garri = x - 1 / 5x - 4 /7 x = 8 / 35 x

Therefore, the fraction of her money she spent on garri  = 8 /35

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Answer:

5 degrees

Step-by-step explanation:

Corresponding angles in a transversal are congruent. This can be proved by using the alternate exterior angles theorem, which would make these two angles alternate interior angles. With this, we can form a new equation.

Solve Algebraically

5x+23=7x+13

5x+10=7x

10=7x-5x

10=2x

The solution which we get for the given question is , x = 5/2 and y = 5/4 answer.

Isolating x,

2x = 9x - 14y

2x-9x = 9x-9x -14y

-7x = -14y

-7x/-7 = -14y/-7

x = 2y

Therefore substituting value of x on equation 2,

9(2y) = 40 - 14y

18y = 40 - 14y

18y+14y = 40 -14y+14y

32y = 40

32y/32 = 40/32

y = 5/4

Therefore , x = 10/4 = 5/2

as because x =2y.

An equation is a mathematical statement which equated two value using the equal sign. Eg.) 2x = y

These expressions on either side of the equals sign are referred to as the equation's "left" and "right" sides. The right-hand side of an equation is usually assumed to be zero. The generality will still be there as  because we can balance it by subtracting the right-hand side expression from the expressions on both sides.

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The value of the sample statistic is used to estimate the value of the population parameter.

The sample statistic is the value that is calculated from the sample data, which is used to make inferences about the population parameter. Sample statistics are used to estimate population parameters. A sample statistic is an estimate of a population parameter that is obtained from a sample, whereas a population statistic is a value that is computed from a population.

Therefore, the correct answer is a. sample statistic.

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\(\\ \rm\Rrightarrow \dfrac{secA-cosA}{secA}\)

\(\\ \rm\Rrightarrow \dfrac{1/cosA-cosA}{secA}\)

\(\\ \rm\Rrightarrow \dfrac{1-cosA/cosA}{secA}\)

\(\\ \rm\Rrightarrow \dfrac{2sin^2(A/2)/cosA}{1/cosA}\)

\(\\ \rm\Rrightarrow 2sin^2(A/2)\)

\(\\ \rm\Rrightarrow Sin^2A\)

Proved

Answer:

D

Step-by-step explanation:

They reason is because it makes sense. Do some more research and you will understand

Answer:12 and 15

Step-by-step explanation:

Answer:

\(2. \: x > 0 \\ 3. \: - 1 \leqslant x < 3 \\ 4. \: 0 > x > 2\)

Answer:

Sum of all the exterior angles in any polygon is always 360º

Find the number of sides:

One exterior angles = 20º

Number of sides = 360 ÷ 20

Number of sides = 18

Step-by-step explanation:

Answer:

Step-by-step explanation:

a) external angles is also known as exterior angles

exterior angle = 360

we have n=20

360/n=360/20=18

the external angles of a regular polygon of 20 is 18 degree

b) internal angles is also known as interior angles

interior angle = 180

exterior angle = 18

interior angle - exterior angle

180-18=162 degree

the internal angles of 20 is 162 degree

The percentage or the Probability is only 2.5%

Probability is a number that reflects the chance or likelihood that a particular event will occur. This is arrived based on the central limit theorem that sample mean follows a normal distribution for large samples randomly drawn.

Given that on the average, hotel guests who take elevators weigh about 150 pounds with an SD of about 35 pounds.

An engineer is designing a large elevator for a convention hotel, to lift 50 such people.

Maximum capacity = 4 tons =8000 pounds

= 160 pounds/man

If average of 50 people exceeds 160 pounds then it would be overloaded.

Mean of the sample follows a normal with mean = 150 and std error = 35/√50-1 = 5

Required probability

= P(x>160)

= P(Z ? 2)

= 0.0250

Probability is only 2.5%

This is arrived based on the central limit theorem that sample mean follows a normal distribution for large samples randomly drawn.

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Answer:

Step-by-step explanation:

Area of a circle = πr²

where

r is the radius

From the question

r = 14 m

π = 3.14

The area of the circle is

A = 3.14 × ( 14 ) ²

= 3.14 × 196

= 615.44

We have the final answer as

Hope this helps you

Answer:

86.625 in³

Steps:

V = 5.5 × 4.5 × 3.5

V = 86.625 in³

Answer:

The perimeter of the square is;

Explanation:

Given the square RSTV with the coordinates given the question.

Let us find the length of the sides of the square.

Using the formula for distance between two points;

Recall that the perimeter of a square can be calculated using the formula;

Therefore, the perimeter of the square is;

Answer:46 inches

Step-by-step explanation:

Answer:

1√5

Step-by-step explanation:

Combine like terms

Answer:

-\(\sqrt{5}\), or about -2.24 in decimal form

Step-by-step explanation:

Add -3 and 2 and keep the \(\sqrt{5}\). -3+2 is -1, so the answer is -\(\sqrt{5}\).

Answer:

4 batches

Step-by-step explanation:

just took the quiz can i have Brainliest pls

Answer:

4 batches

Step-by-step explanation:

Answer:

y = 2x - 3

Step-by-step explanation:

Pick two random points for slope

slope = m = rise/run = \(\frac{(-3-(-5))}{0-(-1)} = \frac{2}{1} = 2\)

y intercept form:

y = 2x - 3

Answer:ion know the answer but i need the points

Step-by-step explanation:

Answer:

2" 4 3"9 4"16 5"25 6"36 7"49 8"64 9"81 10"100

Answer:

-2 = -3x + 5

-2 -5 = -3x

-7 = -3x

-7/-3 = x

x=7/3

If u is orthogonal to both x and y in 3-space, it can be proven that u is also orthogonal to any linear combination of x and y, represented as k₁x + k₂y, where k₁ and k₂ are scalars.

To prove that u is orthogonal to k₁x + k₂y, we need to show that their dot product is zero. The dot product of two vectors u and v is given by the equation u · v = u₁v₁ + u₂v₂ + u₃v₃, where u₁, u₂, u₃ are the components of u and v₁, v₂, v₃ are the components of v.

Let's calculate the dot product of u and (k₁x + k₂y):

u · (k₁x + k₂y) = u · (k₁x) + u · (k₂y)

               = k₁(u · x) + k₂(u · y)

Since u is orthogonal to both x and y, u · x = 0 and u · y = 0. Therefore:

u · (k₁x + k₂y) = k₁(u · x) + k₂(u · y)

               = k₁(0) + k₂(0)

               = 0 + 0

               = 0

Hence, the dot product of u and k₁x + k₂y is zero, which means u is orthogonal to k₁x + k₂y for any pair of scalars k₁ and k₂.

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Answer:

HOPE IT HELPED U .....

Step-by-step explanation:

a). f(5)= 2x +6

= 2 *5+6

= 10+6

=16

(b). g (9)= -12x+4

= -12*9+4

= -108 +4

=-104

(c). f(5)+f(9)= 16+(-104)

=-88

Answer:

Step-by-step explanation:

f(x)=2x+6

f(5)=2*5+6

f(5)=10+6

f(5)=16

g(x)=-12x+4

g(9)=-12*9+4

g(9)=-108+4

g(9)=-104

Let \(\(a\)\) and \(\(b\)\) be integers such that \(\(ab = 4\)\). We want to prove that \(\((a - b)^3 - 9(a - b) = 0\).\)

Starting with the left side of the equation, we have:

\(\((a - b)^3 - 9(a - b)\)\)

Using the identity \(\((x - y)^3 = x^3 - 3x^2y + 3xy^2 - y^3\)\), we can expand the cube of the binomial \((a - b)\):

\(\(a^3 - 3a^2b + 3ab^2 - b^3 - 9(a - b)\)\)

Rearranging the terms, we have:

\(\(a^3 - b^3 - 3a^2b + 3ab^2 - 9a + 9b\)\)

Since \(\(ab = 4\)\), we can substitute \(\(4\)\) for \(\(ab\)\) in the equation:

\(\(a^3 - b^3 - 3a^2(4) + 3a(4^2) - 9a + 9b\)\)

Simplifying further, we get:

\(\(a^3 - b^3 - 12a^2 + 48a - 9a + 9b\)\)

Now, notice that \(\(a^3 - b^3\)\) can be factored as \(\((a - b)(a^2 + ab + b^2)\):\)

\(\((a - b)(a^2 + ab + b^2) - 12a^2 + 48a - 9a + 9b\)\)

Since \(\(ab = 4\)\), we can substitute \(\(4\)\) for \(\(ab\)\) in the equation:

\(\((a - b)(a^2 + 4 + b^2) - 12a^2 + 48a - 9a + 9b\)\)

Simplifying further, we get:

\(\((a - b)(a^2 + 4 + b^2) - 12a^2 + 39a + 9b\)\)

Now, we can observe that \(\(a^2 + 4 + b^2\)\) is always greater than or equal to \(\(0\)\) since it involves the sum of squares, which is non-negative.

Therefore, \(\((a - b)(a^2 + 4 + b^2) - 12a^2 + 39a + 9b\)\) will be equal to \(\(0\)\) if and only if \(\(a - b = 0\)\) since the expression \(\((a - b)(a^2 + 4 + b^2)\)\) will be equal to \(\(0\)\) only when \(\(a - b = 0\).\)

Hence, we have proved that if \(\(ab = 4\)\), then \(\((a - b)^3 - 9(a - b) = 0\).\)

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Answer:

180 pages

Step-by-step explanation:

Since her photocopy session is 25 pages per minute, the total number of pages photocopied in 4 hour session can be calculated as;

number of pages = time × speed

                                 = (4 × 60) × 25

                                 = 240 ×25

                                 = 6000 pages

Thus, number of pages photocopied in 4 hours is 6000.

For every 100 pages, 3 would contain some type of printing error. The number of pages she expect with printing error during 4 hour session can be determined as;

           = \(\frac{6000}{100}\) × 3

           = 60 × 3

           = 180 pages

The expected number of pages with printing error during 4 hour photocopying session is 180 pages.

Answer:

76.6%

Step-by-step explanation:

345/450 * 100%

I hope it helps and sorry if I'm wrong

Answer:

Your expression would be 150(11)=x

The answer to this expression would be 1,650. Producing the equation 150(11)= 1,650

Step-by-step explanation:

Your equation is 150(11)=x because; the hot air balloon owner charges $150 per ride. And there are 11 rides. So our equation is solely saying $150 charged per ride for 11 rides.

Let's solve this equation

150(11)= 1,650

So, we would multiply 150 by 11 to get 1,650.

And if your professor asks a statement for your equation you would say; The total income for the balloon owner that weekend is $1,650. $900 made on Saturday plus $750 made on Sunday.

, Hope this helps :)

Have a great day!!