1. Find the value of a such that y"(t) + y(t) + 3y(t) = 5 sin at is resonance. Hence or otherwise find y(t).

Answer:

>

Step-by-step explanation:

-27/80 > -73/80

If you make a number line they are both in the negatives. If they are both in the negatives then whatever one is closer to 0 is greater.  

Answer:

>

Step-by-step explanation:

even tho 73 looks like a higher number when u add the negatives to the front whatever number looks like it is smaller is the higher number.

Answer:

Area =  l × w

=  18 × 10

=  180 centimeters2

Step-by-step explanation:

The probability that exactly 7 customers are very satisfied is 0.75.

So, the probability that exactly 7 customers are satisfied.

We know that a total of 93% of customers are satisfied.

Then, get 93% of 10:

10/100 × 93

0.1 × 93

9.3

Probability formula: P(E) = Favourable events/Total events

F(E) = 7 and T(E) = 9.3

Now, calculate as follows:

P(E) = Favourable events/Total events

P(E) = 7/9.3

P(E) = 0.75

Therefore, the probability that exactly 7 customers are very satisfied is 0.75.

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Correct question:
Use excel to find the following binomial distribution probabilities. a hotel claims that 93% of its customers are very satisfied with its service. complete parts a through e below based on a random sample of 10 customers. (4 points) a) what is the probability that exactly 7 customers are very satisfied?

6. 100 x 2.75 + 240 x 1.95 = $743

7. $6.50 x 100 + $5.00 x 240 = $1850.

Here is the full question:

Triangle ABC is a right-triangle and sin(53o) = StartFraction 4 Over x EndFraction. Solve for x & round to the nearest whole number.

Triangle A B C is shown. Angle A C B is a right angle and angle B A C is 53 degrees. The length of B C is 4 centimeters, the length of A C is y, and the length of hypotenuse A B is x.

Which equation correctly use the value of x to represents the cosine of angle A?

cos(53o) = StartFraction 4 Over x EndFraction cos(53o) = StartFraction y Over 5 EndFraction cos(53o) = StartFraction x Over 4 EndFraction cos(53o) = StartFraction 5 Over y EndFraction

Answer:

cos(53°) = StartFraction y Over 5 EndFraction

Step-by-step explanation:

From the information above:

The sketch of the triangle is drawn and attached in the diagram below.

To find x using the sine rule,

We know that:

\(Sin \theta = \dfrac{opposite}{hypothenuse}\)

∴

\(Sin (53^0) = \dfrac{4}{x}\)

Making x the subject of the formula:

\(x = \dfrac{4}{Sin \ 53^0}\)

\(x = \dfrac{4}{0.7986}\)

\(x \simeq 5\)

Now, the equation that correctly uses the value of x can be determined by finding the cosine of ∠ A.

Recall that:

\(Cos \theta = \dfrac{adjacent}{hypothenuse}\)

\(Cos \ 53^0 = \dfrac{y}{x}\)

where; x = 5

\(Cos \ 53^0 = \dfrac{y}{5}\)

Thus, the equation that correctly uses the value of x to represent the cosine of angle A is:

cos(53°) = StartFraction y Over 5 EndFraction

Answer:

simple answer B

Step-by-step explanation:

There are 720 permutations of {a, b, c, d, e, f, g} end with a. So the option 4 is correct.

If we choose components without repetition, P(7, 6) would imply that we are attempting to find a 7-permutation on the set {b, c, d, e, f, g}. This is not possible.

The same amount of these permutations finish in "a," "b," "c," and so forth.

The amount of permutations that finish in "a" is therefore just: 5040/7 = 720, the same as 6! = P (6,6)

P(7,6) is incorrect because it is asking for the number of 6-permutations on a set of 7 elements.

Since the last character must be a, there are only 6 elements that can be arranged in any order to form a permutation.

Therefore, the correct answer is P(6,6) = 6! = 720.

So the option 4 is correct.

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The inner product of two vectors A = (2, -3,0) and B = (-1,0,5) is -2 / √(13×26).

Solving the given system of equations using Gaussian elimination:

2x + 3y + z = 2 y + 5z = 20 -x+2y+3z = 13

Matrix form of the system is

[A] = [B] 2 3 1 | 2 0 5 | 20 -1 2 3 | 13

Divide row 1 by 2 and replace row 1 by the new row 1: 1 3/2 1/2 | 1

Divide row 2 by 5 and replace row 2 by the new row 2: 0 1 1 | 4

Divide row 3 by -1 and replace row 3 by the new row 3: 0 0 1 | 5

Back substitution, replace z = 5 into second equation to solve for y, y + 5(5) = 20 y = -5

Back substitution, replace z = 5 and y = -5 into the first equation to solve for x, 2x + 3(-5) + 5 = 2 2x - 15 + 5 = 2 2x = 12 x = 6

The solution is (x,y,z) = (6,-5,5)

Therefore, the solution to the given system of equations using Gaussian elimination is (x,y,z) = (6,-5,5).

The given two vectors are A = (2, -3,0) and B = = (-1,0,5). The inner product of two vectors A and B is given by

A·B = |A||B|cosθ

Given,A = (2, -3,0) and B = (-1,0,5)

Magnitude of A is |A| = √(2²+(-3)²+0²) = √13

Magnitude of B is |B| = √((-1)²+0²+5²) = √26

Dot product of A and B is A·B = 2(-1) + (-3)(0) + 0(5) = -2

Cosine of the angle between A and B is

cosθ = A·B / (|A||B|)

cosθ = -2 / (√13×√26)

cosθ = -2 / √(13×26)

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Answer:165degrees

Step-by-step explanation

Use formula N-2 × 180 N is the number of sides

24-2=22

22x180=3960 total

for each angle divide total by 24=165 degrees

Answer:

1 1/3

Step-by-step explanation:

-3-1/-3-0= 1 1/3

Answer:

4/3

Step-by-step explanation:

You can solve this equation in two ways.

1) Count the ratio of rise to run:

You're going up 4 spaces and going to the left three spaces. Therefore, the slope would be 4/3. It would also be positive because it's going up. Think of it like going up a mountain.

2) The second way is by using the formula:

y2-y1/x2-x1

Then fit in the missing digits.

-3-1= -4 and -3-0= -3. Since both numbers are negative and a negative divided by a negative is a positive number, your answer would be a positive 4/3.

The length of the model car based on the information is 0.8 feet.

It should be noted that scale simply shows the relationship between a measurement on a model as well as the corresponding measurement on the actual object.

From the information, the model car is constructed with a scale of 1:15.

When the actual car is 12 feet long, the length of the model will be illustrated as x. This will be:

= 1/15 = x / 12

Cross multiply

15x = 1 × 12

15x = 12

Divide

x = 12 / 15

x = 0.8

The length is 0.8 feet.

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Answer:

For a general quadratic equation like:

y = a*x^2 + b*x + c

a is the leading coefficient.

And we define the vertex of this as (h, k)

Where h is:

h = -b/(2*a)

and k is the y-value given when we use x = h.

Now, in this case we have:

f(x) = 5*x^2

We can see that the leading coefficient is 5, then a = 5.

To find the value of h we use:

h = -b/(2*a)

there is no lineal term, thus b = 0, then:

h = -0/(2*5) = -0/10 = 0

and k is given by

f(h) = f(0) = 5*0^2 = 0

then k = 0.

Concluding:

a = 5

h = 0

k = 0

Answer:

3 OR 8  hope this helps!

Step-by-step explanation:

Binomial probability distributions depend on the number of trials n of a binomial experiment and the probability of success p on each trial.   when the number of trials is sufficiently large we use normal distribution instead of binomial distribution which leads the condition to use normal approximation to the binomial rather than binomial probability distributions

many experiments consist of repeated independent trials .each trial has two possible complementary outcomes such as the trial may be a head or tail, success and failure right or wrong, etc. know if each probability of outcome remains the same throughout the trial then such trials are called "binomial trials" and experiments are called "a binomial experiment". its probability distribution is called binomial probability distribution denoted by 'P'.

A continuous random variable having a bell-shaped curve is called a normal random variable with mean and variance and distribution thus is called Binomial probability distribution depending on the number of trials n of a binomial experiment and the probability of success p on each trial.  

know when a number of trials are sufficiently large we use normal distribution instead of binomial distribution this is what the normal approximation does.

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Answer:

1 : 10

Step-by-step explanation:

Let :

Water = x

Milk = y

Purchase = 6.4 * y = 6.4y

Sales = 8(x + y)

Profit accrued = 37.5%

Sales = profit made from sales

8(x + y) = 6.4x * (100%+37.5%)

8(x + y) = 6.4x * 1.375

8x + 8y = 8.8x

8y = 8.8x - 8x

8y = 0.8x

y/x = 8/0.8

y/x = 10 / 1

y : x = 10 : 1

Type of Attention Impact on Encoding Process

1. Sustained attention Facilitates thorough encoding of information.

2. Selective attention Enhances encoding of attended stimuli while filtering out irrelevant information.

3. Divided attention Impairs encoding by dividing attentional resources among multiple tasks.

4. Exogenous attention Captures attention involuntarily, potentially interrupting the encoding process.

5. Endogenous attention Voluntarily directed attention that can prioritize specific information for encoding.

1. Sustained attention: Sustained attention refers to the ability to maintain focus over an extended period. It has a positive impact on the encoding process as it allows for thorough and comprehensive encoding of information.

2. Selective attention: Selective attention involves focusing on specific stimuli while filtering out irrelevant information. It enhances the encoding process by directing attention to the relevant stimuli, promoting their effective encoding.

3. Divided attention: Divided attention refers to the attempt to allocate attention to multiple tasks simultaneously. Dividing attention among multiple tasks impairs the encoding process as attentional resources become fragmented, leading to less effective encoding of information.

4. Exogenous attention: Exogenous attention is captured involuntarily by external stimuli, potentially interrupting the encoding process. It can divert attention away from the intended encoding task, resulting in a negative impact on encoding.

5. Endogenous attention: Endogenous attention is voluntarily directed attention that allows individuals to prioritize specific information for encoding. It enhances the encoding process by selectively focusing on relevant stimuli and allocating cognitive resources accordingly.

Different types of attention have varying impacts on the encoding process. Sustained attention and selective attention positively influence encoding, while divided attention and exogenous attention have negative effects. Endogenous attention, on the other hand, can enhance encoding by prioritizing specific information.

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Answer:

Step-by-step explanation:

Since the swimming pool is cylindrical, we would find its volume by applying the formula for determining the volume of a cylinder which is expressed as

Volume = πr²h

Where

r represents radius of the cylinder

h represents height

π = constant = 3.14

From the information given,

Diameter = 12 feet

Radius, r = diameter/2 = 12/2 = 6 feet

h = 4 feet

Volume = 3.14 × 6² × 4 = 452.16ft³

Since 1 cubic foot is approximately 7.48 gallons, the number of gallons of water that the swimming pool can contain is

452.16 × 7.48 = 3382.16 gallons

Answer:

I think it is C) The line will contain points whose y-coordinate will decrease in value as you move to the right

Step-by-step explanation:

HOPE THIS HELPS

The value of dot product (6+8)⋅(−10) is -140.

The value of (6u+v)⋅(u−10v) can be found using the distributive property and the dot product formula, which is (6u⋅u)+(v⋅u)-(60v⋅v). Substituting the given values, we get (6(6)²)+(8(6))-(60(4)²) = 92.

In the given problem, we are given the values of dot product, norms of two vectors u and v. We need to find the value of (6+8)⋅(−10) and (6u+v)⋅(u−10v). Using the formula for dot product, we get the value of the first expression as -140. For the second expression, we use the distributive property and the formula for dot product.

After substituting the given values, we simplify the expression to get the answer 92. The dot product is a useful tool in linear algebra and can be used to find angles between vectors, projections of vectors, and more.

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This equation shows that the value of x is equal to the y-value divided by the tangent of 50°.

Tangent is a line or plane that touches a curve or surface at a single point. It is a measure of the steepness of a curve or surface at a particular point. It is equal to the ratio of the change in the y-coordinate to the change in the x-coordinate of a point on the curve. Tangent is used in many areas of mathematics and physics, including calculus, geometry, and mechanics. It is also used to describe the rate of change in a function, as well as to define the angle between two intersecting lines.

The tangent line equation for a line with a slope of 50 degrees is y = tan(50°)x.
To solve for x, you must rearrange the equation to isolate x on one side of the equation.
To do this, divide both sides of the equation by tan(50°), giving the equation x = y/tan(50°). This equation shows that the value of x is equal to the y-value divided by the tangent of 50°.

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Answer:

true

Step-by-step explanation:

if there is no y intercept then it is 0

Answer:

(5,0)

Step-by-step explanation:

(x, y)

The slant height of the right circular cone will be  \(l=2\sqrt5}\)

The formula for the slant height of the cone is given as:

\(l^2=r^2+h^2\)

Here we have

r=2 units

h=4 units

By putting the values we will get

\(l=\sqrt{4^2+2^2\)

\(l=\sqrt{16+4\)

\(l=\sqrt{20}\)

\(l=2\sqrt{5}\)

Hence the slant height of the right circular cone will be  \(l=2\sqrt5}\)

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Answer:

-1/3 is the slope for this graph

Step-by-step explanation:

-2/6

The solution of the equations -4x-2y= -12 and 4x+8y= -24 is {6, -6).

The question above has 2 equation.

Equation I = -4x-2y= -12

Equation II=4x+8y= -24.

Equation I = -4x-2y= -12, replace to 4x= -2y+12

then substituted 4x= -2y+12 into the second equation, namely 4x+8y= -24.

4x+8y= -24

=(-2y+12) +8y= -24

6y+12= -24

6y = -24-12

6y= -36

y = -6

found the value of y is -6.

The next, substitute the value y= -6 into the equation II

4x+8y= -24

4x+8(-6) =-24

4x-48=-24

4x=-24+48

4x=24

x=24/4

x=6

found the value of x is 6.

Therefore the x and y values of those equation in question are 6 and -6.

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Answer:

Step-by-step explanation:

Simplify

Answer:

brainliest plsssssss

Step-by-step explanation:

(6^4)^2

=(6^4)^2

=(6^4) x (6^4)

=(6 x 6 x 6 x 6) x (6 x 6 x 6 x 6)

=6 x 6 x 6 x 6 x 6 x 6 x 6 x 6

=68

=1679616

Answer:

42

Step-by-step explanation:

there are 312 cubic inches of wood left after cutting out a square hole with side lengths of 5 inches from a cube-shaped block with side lengths of 8 inches.

How to find the volume ?

To find the volume of the remaining wood, first find the volume of the cube-shaped block. To find the volume of a cube use V = s³ where s is the side of the cube. In this case, s = 8 inches, so V = 8³ = 512 cubic inches.

Then, find the volume of the hole using the side lengths of the hole and the same depth as the cube, which is 8 inches. The hole has side lengths of 5 inches, so its volume is V = 5² * 8 = 200 cubic inches.  

To find how much wood is left after cutting out the hole, subtract the volume of the hole from the volume of the cube:

512 - 200 = 312 cubic inches

Therefore, there are 312 cubic inches of wood left after cutting out a square hole with side lengths of 5 inches from a cube-shaped block with side lengths of 8 inches.

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The average conclusion is that since they are monkeys, all wookies are good chess players.

Two premises form the basis for the conclusion. All monkeys are skilled chess players, according to the first postulate. The idea that all Wookies are monkeys is the second premise. The first assumption indicates that all monkeys are brilliant chess players, and since the second premise states that all wookies are monkeys, it follows that all wookies must likewise be good chess players. The conclusion is that since they are monkeys, all wookies are good chess players. This conclusion comes logically from the two supplied premises. The conclusion is also presumptively true because the premises are believed to be true.

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5 ori 5 fac 25 și cu 25 egal 14 și cu 14 egal 100 și cu 100 egal 12

Step-by-step explanation:

sper ca team ajutat

Answer:

∠ 6 = 45°

Step-by-step explanation:

∠ 6 and 45° are vertically opposite angles and are congruent , so

∠ 6 = 45°