what is the solution to (-2,0)

Answer:

the days of the week beginning with 't' are tuesday and thursday

Answer: 2

tuesday and Thursday

Step-by-step explanation:

monday - no

tuesday-  Yes

Wednesday - no

thursday- Yes

friday- No

saterday- No

sunday- no

\(a_{1} = 21 \\ a_{n} = 39 \\S_{n} = \frac{n}{2} (a_{1} + a_{n})\)

\(210 = \frac{n}{2} (21 + 39) \\ 210 = \frac{n}{2} (60) \\ 210 = 30n \\ n = \frac{210}{30} = 7 \: terms\)

The time needed for light to travel 42000 Km is 0.14 second.  

Given that,

The speed of the light is = 3 × 10⁸ m/s

Distance travelled by light is = 42000 km = 42 × 10⁶ m [since 1 km = 10³ m]

We have to find the time needed to travel the distance 42000 km by the light.

We know that from the velocity formula,

Speed = Distance/Time

Time = Distance/Speed

Time = (42 × 10⁶)/(3 × 10⁸) = 14 × 10⁻² = 0.14 second.

Hence the time needed for light to travel 42000 Km is given by 0.14 second.  

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Answer:

In this section we will discuss the method of graphing an equation in two variables. In other words, we will sketch a picture of an equation in two variables.

Step-by-step explanation:

The perimeter of the track is 602.6m.

To determine the perimeter of the track, we assign the following equation as the area of the rectangle:

Area = length × breadth

14,400 = 160b

b = 90m

Radius = 90/2 = 45m

The perimeter of the track can be gotten by multiplying the circumference of the circle and the length by 2

160 × 2 = 320

The circumference of the semicircle = 2πr

= 2 × 3.14 × 45

= 282.6m

So, the perimeter of the track= 282.6 + 320

= 602.6m

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Answer:

Step-by-step explanation:

a. f(5) = 5+7 = 12

b. f(-1) = -1+7 =6

c. f(-3) = -3+7 =4

Answer:

0.14705882352

Step-by-Step:

Just use a calculator and your answer should pop up.

The portfolio's return can be calculated by multiplying the weights of each investment by their respective returns and summing them up. However, without information on the weights of the investments, the portfolio's return cannot be determined accurately.

To calculate the portfolio's return, we need to know the weights of each investment, which represent the proportion of the total portfolio value allocated to each asset. Without this information, we cannot determine the exact portfolio return.

However, if we assume equal weights for simplicity, the average return of the portfolio can be estimated. In this case, the portfolio consists of $1,000 invested in Disney with a 15% return and $5,000 invested in Oracle with an 18% return.

Using equal weights, the estimated portfolio return can be calculated as follows:

Portfolio return = (Weight of Disney × Return of Disney) + (Weight of Oracle × Return of Oracle)

Assuming equal weights, the portfolio return would be:

(0.5 × 15%) + (0.5 × 18%) = 7.5% + 9% = 16.5%

Therefore, with equal weights, the estimated portfolio return would be 16.5%. However, please note that without accurate information on the weights of the investments, the exact portfolio return cannot be determined.

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The area of the given triangle is 87.55 square centimeter.

From the given triangle, base=17 cm and height=10.3 cm.

The basic formula for the area of a triangle is equal to half the product of its base and height, i.e., A = 1/2 × b × h.

Here, area of a triangle = 1/2 ×17×10.3

= 87.55 square centimeter

Therefore, area of the given triangle is 87.55 square centimeter.

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The equation of the plane containing the two parallel lines v₁ = (0, 1, −8) t(6, 7, −5) and v₂ = (8, −1, 0) t(6, 7, −5) is 6x + 6y + 3z = 0.

What are parallel lines?

Parallel lines are coplanar infinite straight lines that do not intersect at any point in geometry. Parallel planes are planes that never meet in the same three-dimensional space. Parallel curves are those that do not touch or intersect and maintain a constant minimum distance.

To find an equation for the plane containing the two parallel lines v₁ = (0, 1, −8) t(6, 7, −5) and v₂ = (8, −1, 0) t(6, 7, −5),

We use the equation of a line: v = v₀ + tv₁

where v₀ and v₁ are points on the line and t is a real number.

Substitute the given points in for v₀ and v₁: v = (0, 1, −8) + t(6, 7, −5)

This equation of the plane is Ax + By + Cz = D, where A, B, C, and D are constants to be determined.

Equate the components:

0x + 1y - 8z = D....(1)

6x + 7y - 5z = D...(2)

Now, we subtract equation (1) from (2) and we get

6x - 0x + 7y - 1y - 5z + 8z = 0

6x + 6y + 3z = 0

Hence, the equation of the plane containing the two parallel lines v₁ = (0, 1, −8) t(6, 7, −5) and v₂ = (8, −1, 0) t(6, 7, −5) is 6x + 6y + 3z = 0.

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Answer:

D

Step-by-step explanation:

Edge 2021 ;))

Answer:

y = -2​

Step-by-step explanation:

-7y -3=11​

Add 3 to each side

-7y -3+3=11+3

-7y = 14

Divide by -7

-7y/-7 = 14/-7

y = -2​

Answer:

Hello,

y = -2

Step-by-step explanation:

-7 y - 3 = 11​ ⇔ -7 y - 3 + 3 = 11 + 3 ⇔ -7 y = 14 ⇔ y = 14 / -7 ⇔ y = -2

Step-by-step explanation:

I) 9+9+9+9=36

Ii)radius is 4.5 L=2piR= 2pi(4.5)= 9pi

Iii) A=piR^2= pi(4.5)^2 = 20.5pi

IV) 9×9 =81

V) 81-20.5pi = 16.597

Answer:

this is a required answer.

If a person is chosen at random from the population and the diagnostic test indicates that she has the disease, the conditional probability that she does, in fact, have the disease is 1.55%.

The given problem is related to conditional probability. We need to find the probability of a person having the disease given that the test result is positive.

Let A be the event that a person has the disease and B be the event that the diagnostic test indicates that she has the disease.

Given, P(A) = 0.02 (2% of the population has the disease)

P(B|A) = 0.9 (the test correctly detects the disease in 90% of individuals who actually have it)

P(B|A') = 0.1 (the test will report that a person does not have the disease with probability 0.9)

We need to find P(A|B), i.e., the probability of a person having the disease given that the test result is positive.

Using Bayes' theorem, we have:

P(A|B) = P(B|A) * P(A) / P(B)

We can calculate P(B) using the law of total probability:

P(B) = P(B|A) * P(A) + P(B|A') * P(A')

P(B) = 0.9 * 0.02 + 0.1 * 0.98

P(B) = 0.018 + 0.098

P(B) = 0.116

Now, substituting these values in Bayes' theorem, we get:

P(A|B) = 0.9 * 0.02 / 0.116

P(A|B) = 0.0155 or 1.55%

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Answer:

24

Step-by-step explanation:

6*4

Step-by-step explanation:

We are given a right angle triangle. So, we will use trigonometry.

sin 45 = opp/hyp

sin 45 = x/6√2

\( \frac{1}{ \sqrt{2} } = \frac{x}{6 \sqrt{2} } \\ \)

\( \sqrt{2} x = 6 \sqrt{2} \\ \)

\(x = \frac{6 \sqrt{2} }{ \sqrt{2} } \\ \)

x = 6

Now, for y

cos 45 = adj/hyp

cos 45 = y/6√2

\( \frac{1}{ \sqrt{2} } = \frac{y}{6 \sqrt{2} } \\ \)

\( \sqrt{2} y= 6 \sqrt{2} \\ \)

\(y= \frac{6 \sqrt{2} }{ \sqrt{2} } \\ \)

y = 6

Answer:

0.75 days (im a bit unsure but i tried my best, hope this helps :) )

Step-by-step explanation:

If it takes 8 technicians 36 hours to test 560 samples, find how many technicians can test 525 samples.

8: 560

x: 525

x= 7.5 (which is considered 7)

Then, find how long it takes to sample 525 samples, when 560 are done in 36  hours;

560: 36

525: x

x= 33.75 (which is considered 34 hours)

The last step is to check how long 15 technicians take to sample 525 samples when 8 can do the same number in 34 hours. this is inverse proportion so dont forget to flip one numerator and denominator

8; 34

15; x

it will become

15:34

8: x

x= 18 hours

Divide by 24 for days hence 0.75 days

The estimated mean amount of money spent per household on internet service each month is $59.95 with confidence interval.

To calculate the estimated mean amount of money spent per household on internet service each month, we first need to find the lower and upper bounds of the confidence interval. The lower bound is $47.45 and the upper bound is $72.45. We then take the average of these two numbers to get the estimated mean. The average of $47.45 and $72.45 is

($47.45 + $72.45) / 2

= $59.95.

Therefore, the estimated mean amount of money spent per household on internet service each month is $59.95.

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Answer:

D

Step-by-step explanation:

\(a_{n}=\frac{(n+3)!}{(n+3}=\frac{(n+3)(n+2)!}{n+3}=(n+2)!\\a_{1}=(1+2)!=3!=3*2*1=6\\a_{2}=(2+2)!=4!=4*3*2*1=24\\a_{3}=(3+2)=5!=5*4!=5*24=120\\a_{4}=(4=2)!=6!=6*5!=120*6=720\\a_{5}=(5+2)=7!=7*6!=720*7=5040\)

Answer:

151

Step-by-step explanation:

180 - 29

Answer:

B) 61

Step-by-step explanation:

When angles are complementary, that just means they add up to 90 so:

90 - 29 = 61

Answer:

x = 19°

Step-by-step explanation:

m∠DBA = m∠CBE = 71 because they are vertical angles

∠A and ∠DBA are complementary angles because the acute angles of a right triangle are complementary

So, m∠A + m∠DBA = 90

          x + 71 = 90

                  x = 19°

Answer:

An equation in the form y = mx + b is in the 'slope y-intercept' form where m is the slope and b is the y-intercept. We can rewrite our equation, y = 4, in slope y-intercept form as follows: y = 0x + 4. Here, it is clear that the slope, or m, is zero. Therefore, the slope of the horizontal line y = 4 is zero

while the presence of only one spot on a TLC plate may suggest that the compound is pure, further analysis is needed to confirm the purity of the compound, such as melting point determination, NMR spectroscopy, or HPLC (high-performance liquid chromatography).

Using UV and seeing only one spot on a TLC (thin-layer chromatography) plate is not a definitive indicator of the purity of a product.

While it is true that a pure compound will only show one spot on a TLC plate, there are several reasons why a compound may still show only one spot even if it is not pure. For example:

The impurity may have a similar Rf (retention factor) value to the compound of interest and therefore co-migrate with it on the TLC plate, making it difficult to distinguish between the two.

The impurity may be present in such a small amount that it is not visible on the TLC plate.

The compound of interest may have multiple conformers or isomers that have the same Rf value and appear as a single spot.

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The circumference of a circle can be calculated using the formula C = 2πr, where C is the circumference, π (pi) is a mathematical constant approximately equal to 3.14, and r is the radius of the circle. In this case, the radius of the circle is 8 units. You can use either 22/7 or 3.14 as an approximation for π.

Using 22/7 for π:

C = 2(22/7) * 8 = (44/7) * 8 = 352/7 ≈ 50.29 units

Using 3.14 for π:

C = 2 * 3.14 * 8 = 6.28 * 8 = 50.24 units

Both approximations yield similar results for the circumference of the circle: 50.29 units when using 22/7 and 50.24 units when using 3.14. You may choose either of these values, depending on the desired level of accuracy. Keep in mind that these are approximations, and the true value of the circumference would involve using the exact value of π.

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Answer:

Let ac=ab=5

With this, bc= 5√2

Step-by-step explanation:

So to find ad, Let ad be x

5√2=(2)(x)

(5√2/2)= x

This proves that bc=2ad

Answer:

Step-by-step explanation:

The slope of the line passing through two given points:  \(m=\dfrac{y_2-y_1}{x_2-x_1}\)

(9, 12)   ⇒   x₁ = 9,  y₁ = 12

(7, 4)   ⇒     x₂ = 7,  y₂ = 4

So, the slope:

                     \(m=\dfrac{4-12}{7-9}=\dfrac{-8}{-2}=4\)

At the crucial integers where the second derivative of (x) changes sign, local extrema happen. It is a local minimum if the second derivative crosses a key threshold from negative to positive.

Let's denote the total cost function as C(x), where x is the number of vests produced in one day. The average cost per vest is given by Ĉ(x) = C(x) / x.

The critical numbers of Ĉ(x), we need to calculate its first derivative with respect to x and set it equal to 0. The critical numbers will be the values of x that satisfy this equation.

The intervals where the average cost per vest is decreasing or increasing can be determined by analyzing the sign of the first derivative of Ĉ(x). If the first derivative is negative, the average cost is decreasing, and if it is positive, the average cost is increasing.

Finally, local extrema occur at the critical numbers where the second derivative of Ĉ(x) changes sign. If the second derivative changes from negative to positive at a critical number, then it is a local minimum. If it changes from positive to negative, it is a local maximum.

To summarize, you will need to:

1. Write the average cost function Ĉ(x) = C(x) / x
2. Calculate the first and second derivatives of Ĉ(x)
3. Find the critical numbers by setting the first derivative equal to 0
4. Determine the intervals where the average cost is increasing or decreasing by analyzing the sign of the first derivative
5. Identify local extrema by examining the sign change of the second derivative at the critical numbers.

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Answer:

x = 32

Step-by-step explanation:

24 x 4 = 3x

24 x 4 = 96

96 / 3 = 32

x = 32

Answer:

x = 32

Step-by-step explanation:

You want to find x.

First, simplify and combine like terms. Using PEMDAS, do the parenthesis first.

(3 x 8) x 4 = 3x

24 x 4 = 3x

96 = 3x

Now, divide each side by 3 to isolate x.

x = 32

Answer: $2,466.45

Step-by-step explanation:

Hi, to answer this question we have to apply the compounded interest formula:

A = P (1 + r/n) nt

Where:  

A = Future value of investment (principal + interest)  

P = Principal Amount  

r =  Nominal Interest Rate (decimal form, 3.5/100= 0.035)

n=   number of compounding periods in each year (365)

Replacing with the values given

3,500= P (1+ 0.035/365)^365(10)

Solving for P

3,500= P (1.00009589)^3650

3,500/  (1.00009589)^3650 =P

P = $2,466.45