The change in the value of a stock is represented by the rational number -5. 90 describing words what this means

Answer:

2

Step-by-step explanation:

slope=∆y/∆x

thus values of y and x at any point in the table can be used.

slope= (7-5)÷(2-1)

slope=2.

Answer:

56.55

Step-by-step explanation:

C=2πr=2·π·9≈56.54867

The next minimum monthly payment is expected to be $145.24

What is the balance on the credit card before interest is computed?

First and foremost, we need to determine the credit card balance after the purchases and payment for next month are considered

balance after purchases and payment=$2,064.92-$185.00+$812.61

balance after purchases and payment=$2,692.53

interest for next month=$2,692.53*32.99%/12

interest for next month=$74.02

minimum monthly payment=($2,692.53+$74.02)*5.25%

minimum monthly payment=$145.24

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Answer:

honestly i got 273.6 so i'm thinking that he would have to pay about 273 times........

Step-by-step explanation:

Answer:

15$

Step-by-step explanation:

Answer:

I believe you would write the answer is 7 * x is less than 94 (use actual less than symbol for answer).

Step-by-step explanation:

"The sum of negative two and nine" is saying -2 + 9.

"times a number" is saying the answer of -2 + 9 is multiplied by a number, or x.

"is less than ninety four."​ is saying that -2 + 9 * x is less than (use symbol) 94.

So the equation looks like this:

-2 + 9 * x is less than 94.

Now you can simplify the equation:

-2 + 9 = 7

7 * x is less than(use actual less than symbol) 94.

Could I get brainliest please?

Answer: About 0.2 gallons

Step-by-step explanation: 4/18=0.2 repeating, so each person gets about 0.2 gallons.

Each of her friend will get 4 and a half gallons of juice.

Division is one of the four main arithmetical operations by which we find the equal distribution of something.

Given that, At Lara's party, 4 gallon of fruit punch are shared equally among 18 friend.

To find how much each of them got, we will divide total amount of punch  by total number friends

Amount of juice each of them gets, = 18/4 = 4.5

Hence,  Each of her friend will get 4 and a half gallons of juice.

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The given expression can be simplified using trigonometric identities. By using the identity cos(a-b) = cos(a)cos(b) + sin(a)sin(b), we get:

cos(pi/4-x) = cos(pi/4)cos(x) + sin(pi/4)sin(x)

Substituting the given values of cos(x) and sin(x), we get:

cos(pi/4-x) = (1/sqrt(2))(-1/2) + (1/sqrt(2))(sqrt(3)/2)

Simplifying this expression, we get:

cos(pi/4-x) = -sqrt(2)/4 + sqrt(6)/4

The given expression involves the cosine of the difference between two angles. By using the identity cos(a-b) = cos(a)cos(b) + sin(a)sin(b), we can simplify the expression in terms of the cosine and sine of the individual angles. We are given the value of cos(x) and we can use the identity sin^2(x) + cos^2(x) = 1 to find the value of sin(x). Once we have the values of sin(x) and cos(x), we can substitute them in the above identity to get the simplified expression.

In this particular problem, we are given the value of cos(x) and the fact that x is in the second quadrant, which implies that sin(x) is positive. Using these values, we can simplify the expression to get the final answer. It is important to note that the answer is requested in exact form as a fraction, and not as a decimal approximation.

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The probability of selecting two Harry Potter DVDs at random, one after the other, is 1/110.

The probability of selecting a Harry Potter DVD at random is dependent on the total number of DVDs and the number of Harry Potter DVDs in the collection. Let's assume there are a total of 100 DVDs and 10 of them are Harry Potter films.

When selecting the first DVD, the probability of picking a Harry Potter film is 10/100 = 1/10.

After selecting the first DVD, there are 99 DVDs left, with 9 Harry Potter films remaining.

When selecting the second DVD, the probability of picking another Harry Potter film, while keeping the first one in hand, is 9/99 = 1/11.

To find the probability of both DVDs being Harry Potter films, we multiply the probabilities: (1/10) * (1/11) = 1/110.

Therefore, the probability that both DVDs will be Harry Potter films is 1/110.

In conclusion, the probability of selecting two Harry Potter DVDs at random, one after the other, is 1/110.

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Answer:

5ft

Step-by-step explanation:

This simple proportions. 6/10=3/x. Solve for x. Cross Multiply. 6x=30. 30/6=5. x=5. Answer 5.

Answer:

x = 5

Step-by-step explanation:

6/10 = 3/x

cross multiply to get 30 ( 3x10 )

then divide by 6

to get the end answer of 5

hipe this makes sense

The probability that up to one hour will elapse until two orders are received is A. 0.0842.

To calculate the probability that up to one hour will elapse until two orders are received, we can use the Poisson distribution. Given that the e-business receives an average of 5 orders per hour, we can use the Poisson formula to find the probability.

The formula for the Poisson distribution is P(X=k) = (e^(-λ) * λ^k) / k!, where λ is the average rate of events and k is the number of events.

In this case, λ = 5 and we want to calculate P(X<=1), which means the probability of having 0 or 1 order in one hour.

Using the formula, P(X<=1) = P(X=0) + P(X=1) = (\(e^(^-^5^)\)*\(5^0\)) / 0! + (\(e^(^-^5^)\) * \(5^1\)) / 1!

Calculating this, we find P(X<=1) ≈ 0.0842.

Therefore, the answer is A. 0.0842.

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Answer: -2115

Step-by-step explanation:

We can use the distributive property to simplify the calculation of -45 × 47 as follows:

\(\huge \boxed{\begin{minipage}{4 cm}\begin{align*}-45 \times 47 &= -45 \times (40 + 7) \\&= (-45 \times 40) + (-45 \times 7) \\&= -1800 - 315 \\&= -2115\end{align*}\end{minipage}}\)

Refer to the attachment below for explanation

Therefore, -45 × 47 = -2115 when using the distributive property.

________________________________________________________

To solve this problem using the distributive property, we can break down -45 into -40 and -5. Then we can distribute each of these terms to 47 and add the products:

\(\begin{aligned}-45 \times 47 &= (-40 - 5) \times 47 \\ &= (-40 \times 47) + (-5 \times 47) \\ &= -1{,}880 - 235 \\ &= \boxed{-2{,}115}\end{aligned}\)

\(\blue{\overline{\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad}}\)

Answer:

Yellow = 5 times and I think you meant blue since there is no purple so blue = 3 times

Step-by-step explanation:

There is ten in all and half of the spaces are yellow, or 50%. Out of ten times, you should land on it about half, or 5. For blue, there are 3 spaces, or 30%. Out of ten times, you should lamd on it about three.

Answer:

The height of the cylinder is 4 x units.

The area of the cylinder’s base is One-fourthπx2 square units

Step-by-step explanation:

Formula for volume of the cylinder:

V = r² π h

Volume of the cylinder=

πx^3

Diameter=x

Radius (r)=diameter/2

=x/2

V = r² π h

πx^3=(x/2)^2πh

πx^3=(x^2/4)πh

Divide both sides by π

x^3=(x^2/4)h

Make h the subject of the formula

h=x^3÷x^2/4

=x^3×4 / x^2

=4x^3 / x^2

=4*x*x*x / x*x

h=4x

Area of the base:

B = r² π

Recall, r=x/2

B=(x/2)^2 * π

=(x^2/4)π

=πx^2/4

=1/4(πx^2)

The area of the cylinder’s base is One-fourthπx2 square units.

Answer:

B & E

Step-by-step explanation:

Edge 2020

Answer:

  b- one diagonal

Step-by-step explanation:

Given parallelogram ABCD, you want to know what additional segments or points will you need in order to prove the opposite sides are congruent.

The opposite sides of a parallelogram are parallel, so one diagonal is sufficient to allow you to declare pairs of congruent angles using the alternate interior angles theorem.

These let you say the two triangles created are congruent to each other, making opposite sides the same length by CPCTC.

Answer:

B - one diagonal

Step-by-step explanation:

(a) If we believe that the algorithm takes a time roughly proportional to n^2, then we can use the following proportion:

1 second is to 1000^2 as x seconds is to 10000^2

1 : 1000000 :: x : 100000000

Cross-multiplying, we get:

x = (1 * 100000000) / 1000000

x = 100 seconds

So, we would expect it to take 100 seconds to sort 10,000 items using this algorithm.

(b) If we believe that the algorithm takes a time roughly proportional to n log n, then we can use the following equation:

T(n) = k * n log n

where T(n) is the time it takes to sort n items, and k is a constant of proportionality that we don't know.

We can solve for k using the fact that the algorithm takes 1 second to sort 1000 items:

1 = k * 1000 log 1000

1 = k * 3000

k = 1/3000

Now, we can use this value of k to find the time it takes to sort 10,000 items:

T(10000) = (1/3000) * 10000 log 10000

T(10000) ≈ 42 seconds

So, we would expect it to take about 42 seconds to sort 10,000 items using this algorithm.

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We have proved that Angle BCD is equal to angle BAD plus angle ABC plus angle ADC, as required.

To prove that angle BCD is equal to angle BAD plus angle ABC plus angle ADC, we can use the following steps:

Step 1: Join points A and C with a line segment. Let's label the point where AC intersects with line segment BD as point E.

Step 2: Since line segment AC is drawn, we can consider triangle ABC and triangle ADC separately.

Step 3: In triangle ABC, we have angle B + angle ABC + angle BCA = 180 degrees (due to the sum of angles in a triangle).

Step 4: In triangle ADC, we have angle D + angle ADC + angle CDA = 180 degrees.

Step 5: From steps 3 and 4, we can deduce that angle B + angle ABC + angle BCA + angle D + angle ADC + angle CDA = 360 degrees (by adding the equations from steps 3 and 4).

Step 6: Consider quadrilateral ABED. The sum of angles in a quadrilateral is 360 degrees.

Step 7: In quadrilateral ABED, we have angle BAD + angle ABC + angle BCD + angle CDA = 360 degrees.

Step 8: Comparing steps 5 and 7, we can conclude that angle B + angle BCD + angle D = angle BAD + angle ABC + angle ADC.

Step 9: Rearranging step 8, we get angle BCD = angle BAD + angle ABC + angle ADC.

Therefore, we have proved that angle BCD is equal to angle BAD plus angle ABC plus angle ADC, as required.

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Given: Quadrilateral \(\displaystyle\sf ABCD\)

To prove: \(\displaystyle\sf \angle BCD = \angle BAD + \angle ABC + \angle ADC\)

Proof:

1. Draw segment \(\displaystyle\sf AC\) and extend it to point \(\displaystyle\sf E\).

2. Consider triangle \(\displaystyle\sf ACD\) and triangle \(\displaystyle\sf BCE\).

3. In triangle \(\displaystyle\sf ACD\):

4. In triangle \(\displaystyle\sf BCE\):

5. Since \(\displaystyle\sf \angle BCE\) and \(\displaystyle\sf \angle BCD\) are corresponding angles formed by transversal \(\displaystyle\sf BE\):

6. Combining the equations from steps 3 and 4:

Therefore, we have proven that in quadrilateral \(\displaystyle\sf ABCD\), \(\displaystyle\sf \angle BCD = \angle BAD + \angle ABC + \angle ADC\).

\(\huge{\mathfrak{\colorbox{black}{\textcolor{lime}{I\:hope\:this\:helps\:!\:\:}}}}\)

♥️ \(\large{\underline{\textcolor{red}{\mathcal{SUMIT\:\:ROY\:\:(:\:\:}}}}\)

When dividing 4 1/14 units by 1 unit, the answer is 4 1/14. This can be explained by understanding the concept of division and fractions.

Division is an arithmetic operation used to distribute a quantity into equal parts. In this case, we are dividing 4 1/14 units by 1 unit. To divide fractions, we multiply the dividend (4 1/14) by the reciprocal of the divisor (1/1). The reciprocal of 1 is still 1, so we multiply 4 1/14 by 1. When multiplying a whole number and a fraction, we multiply the whole number by the fraction's numerator and add the product to the fraction's numerator. The denominator remains the same. In this case, multiplying 4 by 14 gives us 56, and adding 56 to 1 gives us 57 as the new numerator. Therefore, the result of the division is 4 57/14. However, this can be simplified further. Since 57 is greater than 14, we can divide 57 by 14, resulting in a quotient of 4 with a remainder of 1. So the final answer is 4 1/14.

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4 1 / 1

4 units

1 unit

5 units??

Answer:

60xcm^3

Step-by-step explanation:

6 times 10 times x

60x

Answer:

The difference between the times is just 6.09

Step-by-step explanation:

Here, we are interested in finding the difference between the times when two athletes finished their races.

While one finished at 24.53, the other finished at 18.44; So the difference between the two will be calculated by subtracting the time which was less from the time which was more;

Mathematically, that would be 24.53 - 18.44 = 6.09

The probability that the person uses exactly one of the facilities = 95/130 .

Probability is the branch of Mathematics which helps to determine the likeliness of an event to happen.

The data is given and the probability that the person uses exactly one of the facilities is asked

73 people use the gym. P(G)

62 people use the swimming pool. P (S)

58 people use the track. P (T)

22 people use the gym and the pool. P (G ∩ P)

29 people use the pool and the track. P (P ∩ T)

25 people use the gym and the track. P (G ∩ T)

11 people use all three facilities. P (P∩G∩T)

P (PUGUT) = P(G) + P (S) + P (T) - P (G ∩ P) - P (P ∩ T) - P (G ∩ T) - 2 P (P∩G∩T)

73 + 62 + 58 -22-29-25 -11-11 = 95

The probability that the person uses exactly one of the facilities = 95/130 .

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Answer:

11

Step-by-step explanation:

Since ΔNOP is a traingle, all the angles added up together equal 180 degrees.

(5x-8) + (x-5) + (6x+1) = 180

Now simplify by adding like terms

12x-12 = 180

Solve for x by adding 12 to both sides and then dividing both sides by 12

12x=192

x=16

Once you solved for x, plug it into the angle you need to find.

m∠O=(x-5)

=(16-5)

=11

The probability that a randomly selected datum falls within 2 standard deviations of the mean as required is; 0.95.

By observation, it follows that the distribution as represented in the task content above is a normal distribution.

On this note, the empirical rule applies as follows;

For a standard normal distribution, 68% of the observations (datum) fall within 1 standard deviation of the mean; 95% of the datum lie within two standard deviation of the mean; and 99.9% lie within 3 standard deviations of the mean.

On this note, when expressed as a percentage; the probability that the randomly selected datum falls with 2 standard deviations is; 95/100 = 0.95.

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Answer:

28

Step-by-step explanation:

7x4=28

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Answer:

a = -10

Step-by-step explanation:

a+9 = -1

Subtract 9 from each side

a+9-9= -1-9

a = -10

Answer:

-10

Step-by-step explanation:

a+9=-1

a=-9-1

a=-10

The maximum percentage of the channel bandwidth peak for pure ALOHA occurs at (E) one attempt every 2 slots.

What is ALOHA?

ALOHA is a computer networking term that refers to a random access protocol for wireless networks. It was created in the 1970s at the University of Hawaii. It is a protocol for transmitting packets on a shared communication channel that does not have collision detection. Each packet is transmitted with the hope of successfully reaching the destination without being obstructed by another packet or station in the network.

What is Pure ALOHA?

Pure ALOHA is a type of ALOHA protocol that is unslotted. A station may send frames at any time, and collisions are resolved by detecting them. Pure ALOHA has a maximum throughput of 18%.

When it comes to the question, the maximum percentage of the channel bandwidth peak for pure ALOHA occurs at (E) one attempt every 2 slots.

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When using the elimination method to find a general solution for the given linear system, the differentiation is with respect to t, at a.  \(C . 1 e^{-2} t + C^{2}  e^6t\)

The given linear system is x' = 2x-yy' = 2y-16x

To solve this problem by the elimination method, we eliminate x and solve the remaining differential equation for y.x' = 2x-yy' = 2y-16x

Differentiate the first equation with respect to t is 2x'-y' = 2x''

Differentiate the second equation with respect to t is 2y'-16x' = 2y''

Substitute the value of x' from the first equation to the second equation is 2y'-16(2x-y) = 2y''y''-4y'+8x = 0

This is a homogeneous linear differential equation with constant coefficients. The characteristic equation is \(r^2\)-4r+8 = 0

Using the quadratic formula r = -b ± √(\(b^2\) - 4ac)/2a= 2 ± √(-12)/2= 2 ± 2i

We can now write the general solution y(t) = \(C . 1 e^{-2}  t cos 2t + C . 2 e^{-2}t\) sin 2t = \(C . 1 e^{-2} t + C^{2}  e^6t\)

Therefore, option a is the correct answer.

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