A course meets 5 times a week. one student misses class 2 days apart. a second student misses class 7 days apart. they were both absent in the second day to class. what is the next class day when both will be absent? a) class 16 b) class 9 c) class 14 d) class 15

The probability of getting a head when a coin is flipped and the probability of getting an even number when a dice s rolled is 1/2.

So, the probability formula:

P(E) = Favourable events/Total events

Probability of getting heads:

P(E) = Favourable events/Total events

P(E) = 1/2

Probability of getting an even number:

P(E) = Favourable events/Total events

P(E) = 3/6

P(E) = 1/2

Therefore, the probability of getting a head when a coin is flipped and the probability of getting an even number when a dice s rolled is 1/2.

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Answer:

B. Hikroko earns $20 working concessions at the football game. she earns $20 as as babysitter

Step-by-step explanation:

also the person who keeps deleting all my answers i hope u break your back

Answer:

  max: 72 at (4, 8)

  min: 8 at (2, 0)

Step-by-step explanation:

The attached graph shows the solution set as a white area. The shaded areas are excluded from the solution set. The dashed boundary lines indicate those lines are not excluded from the set. The vertices of the polygon are (0, 2), (2, 0) and (4, 8).

The line f(x,y) = 0 is shown for reference. The maximum value of f(x,y) will be found at the vertex of the solution set that is farthest from this line. The minimum will be found at the vertex of the solution set that is closest to this line.

The maximum value of f(x, y) is 72 at (x, y) = (4, 8).

The minimum value of f(x, y) is 8 at (x, y) = (2, 0).

Answer:

sorry ihave ni idea sorry sorry

Answer:

(i) 8.5 × 10^-12

(ii)  9.42 × 10^-12

(iii) 602 × 10^15

(iv) 8.37 × 10^-9

(v) 3.186 × 10^10

Step-by-step explanation:

(i) 0.0000000000085

= 0.0000000000085 × 10^12/10^12 

= 8.5/10^12 

= 8.5 × 10^-12

(ii) 0.00000000000942

= 0.00000000000942 × 10^12/10^12 

= 9.42/10^12 

= 9.42 × 10^-12

(iii) 6020000000000000

= 602 × 10^15

(iv) 0.00000000837

= 0.00000000837 × 10^9/10^9 

= 8.37/10^9 

= 8.37 × 10^-9

(v) 31860000000

= 3.186 × 10^10

-TheUnknownScientist

Answer:

2

Step-by-step explanation:

she will have 2 arangments of one rose and two daisies.

Answer:

2

Step-by-step explanation:

group off the daisies and rose

2 Rose's

4 raises

in order to make it identical

group 1 consist of ( 1 rose and 2 daisies)

group 2 consist of (1 rose and 2 daises)

only 2 bouquets

Answer:

I'm afraid that you cannot simplify this anymore.

Step-by-step explanation:

The error expression of  |A - N| in the given problem is: Absolute Error

The absolute error is gotten by subtracting the true value from the measured value. The answer is normally expressed as ± or with an absolute value sign. The absolute error equation is expressed as: Absolute error = |measured value - true value|

Relative error is defined as a measurement of error that depends on the absolute error of a measuring tool as well as a measured value. Relative error can thus be defined as a decimal or as a percentage.

Now, we are told that

A is an actual value.

N is near the value,

From the definition of absolute error, we can clearly state that |A - N| is known as absolute error.

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Answer:

  2/3

Step-by-step explanation:

The given equation is in the form ...

  y = mx + b

The values of m and b in your equation are ...

  slope = m = 2/3

  y-intercept = b = 5

The slope of the line described by the given equation is 2/3.

A sum is an arithmetic calculation of one or more numbers. An addition of more than two numbers is often termed as summation.The formula for summation is, ∑. Option (B) is correct 2x²+4x+7.

The sum of f(x) and g(x) if f(x)=2x²+3x+4 and g(x)=x+3 can be found by substituting the values of f(x) and g(x) in the formula f(x) + g(x). Therefore, we have;f(x) + g(x) = (2x² + 3x + 4) + (x + 3)f(x) + g(x) = 2x² + 3x + x + 4 + 3f(x) + g(x) = 2x² + 4x + 7Therefore, the answer is option B; 2x²+4x+7.A sum is an arithmetic calculation of one or more numbers. An addition of more than two numbers is often termed as summation.The formula for summation is, ∑. The summation notation symbol (Sigma) appears as the symbol ∑, which is the Greek capital letter S.

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\(\large\underline{\sf{Solution-}}\)

\(\sf \longmapsto x + y = 7 \: \: - - - (i)\)

\(\sf \longmapsto 3x - 2y = 11 \: \: - - - (ii)\)

By first equation,

\(\sf \longmapsto x + y = 7\)

\(\sf \longmapsto x = 7 - y\)

Now, we can find the original value of y.

\(\sf \longmapsto 3x - 2y = 11\)

\(\sf \longmapsto 3(7 - y) - 2y = 11\)

\(\sf \longmapsto 21 - 3y - 2y = 11\)

\(\sf \longmapsto 21 - 5y = 11\)

\(\sf \longmapsto - 5y = 11 - 21\)

\(\sf \longmapsto - 5y = - 10\)

\(\sf \longmapsto y = \dfrac{ - 10}{ - 5} \)

\(\sf \longmapsto y = 2\)

Now, we can find the original value of x.

\(\sf \longmapsto x + y = 7\)

\(\sf \longmapsto x + 2 = 7\)

\(\sf \longmapsto x = 7 - 2\)

\(\sf \longmapsto x = 5\)

Therefore, the values of x and y are 5 and 2 respectively.

The equation of the hyperbolas is \(\frac{x^2}{117} -\frac{y^2}{52} =1\)

Hyperbolas are symmetrical open curve that are formed when a circular cone intersects a plane.

The given parameters are:

The equation of a hyperbola is represented as:

\(\frac{(x - h)^2}{a^2} -\frac{(y - k)^2}{b^2} =1\)

The hyperbola passes through the origin.

So, we have:

\(\frac{(x - 0)^2}{a^2} -\frac{(y - 0)^2}{b^2} =1\)

\(\frac{x^2}{a^2} -\frac{y^2}{b^2} =1\)

Also, from the asymptotes, we have:

\(\frac ba = \frac 23\)

Make b the subject

\(b= \frac 23a\)

From the foci, we have:

\(a^2 + b^2 = 13^2\)

Substitute \(b= \frac 23a\)

\(a^2 + (\frac 23a)^2 = 13^2\)

Evaluate the squares

\(a^2 + \frac 49a^2 = 13^2\)

Add the fractions

\(\frac {13}9a^2 = 13^2\)

Divide both sides by 13

\(\frac {1}9a^2 = 13\)

Multiply both sides by 9

\(a^2 = 117\)

Recall that:

\(b= \frac 23a\)

Square both sides

\(b^2 = \frac 49a^2\)

So, we have:

\(b^2 = \frac 49 \times 117\)

\(b^2 = 52\)

Recall that:

\(\frac{x^2}{a^2} -\frac{y^2}{b^2} =1\)

So, we have:

\(\frac{x^2}{117} -\frac{y^2}{52} =1\)

Hence, the equation of the hyperbolas is \(\frac{x^2}{117} -\frac{y^2}{52} =1\)

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Answer:

\({{\underline{\textsf{\textbf{A. ∠AOB and ∠COB are supplementary to each other. }}}}}\)

Step-by-step explanation:

As in the question given that, ∠AOB and ∠COB are linear pair and being theses angles are supplements it will form 180°. Hence, option A is the correct ✔️

∠AOB and ∠COB forms a linear pair

∠AOB and ∠COB are supplementary to each other

Given :

In the diagram, ∠AOB and ∠COB form a linear pair.

∠AOB and ∠COB forms a straight line . the sum of angles in a straight line is 180 degrees.

When the sum of angles is equal to 180 degree then they are called as supplementary angles.

∠AOB and ∠COB form a linear pair.

\(<AOB +<COB =180\)

the sum of both the angles are equal to 180 degrees .

So, ∠AOB and ∠COB  are supplementary to each other.

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Answer:

D s>350000

Step-by-step explanation:

The difference in base salary is 7,000 (45,000-38,000). To earn an additional 7,000, sales must be at least 350,000.

350000 x.02 (2% commission) is 7,000

Answer:

Diagram is not so perfect

OR = distance travelled by the jet plane.

Step-by-step explanation:

Let point J be the jet plane and OJ be the constant height at jet plane is flying and OR be the distance jet plane is travelling.

h =

\(1700 \sqrt{3} \)

Now,

From the figure i drew (1st)

taking 60 as reference angle,

tan60° = p/b

or,

\(tan60 = 1700 \sqrt{3} \div b\)

\(b \: = 1700 \sqrt{3} \div tan60\)

so, b = 1700m

inital distance = 1.7km(OR)

now,

tan 30 = p/b

\(tan30 = 1700 \sqrt{3} \div b \\ or \: b = 1700 \sqrt{3} \div tan30\)

so, b = 5100 m

so, final distance = 5.1 km(OR)

Now,

distance travelled = final distance - initial distance

distance travelled = 5.1 km - 1.7km

distance travlled = 3.4 km

Now,

time = 17 seconds

= 0.00472 hour.

Now,

speed = d/t

or, speed = 3.4/0.00472

so, speed = 720.3389km/hr

so, speed = 720 km/hr approximately

Answer:

8/21 is the answer.good luck

The implicit solution to the given differential equation Dx/dt = 4x² + (9t/√(6²+x²)) / (4tx) using the method for solving homogeneous equations is F(t,x) = C, where C is an arbitrary constant.

To solve the given differential equation, we can separate the variables and integrate both sides. Rearranging the equation, we have:

(4tx) Dx = (4x² + (9t/√(6²+x²))) dt. Next, we integrate both sides. Integrating the left side with respect to x and the right side with respect to t, we get:

∫(4tx) Dx = ∫(4x² + (9t/√(6²+x²))) dt. Integrating both sides will result in a function F(t,x) on the left side and the integral on the right side. Since we are looking for an implicit solution in the form F(t,x) = C, we can write the equation as:

F(t,x) = C. cccThis represents the general solution to the given differential equation, where C is an arbitrary constant. The specific form of the function F(t,x) will depend on the integration process and the initial conditions, if provided.

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f(x) = 4x^2 -7

f(2) = 4*2^2 -7

= 16-7

=9

Answer:

3pm-5pm-7.30pm

Step-by-step explanation:

Answer:

x = -2/3, 1/3

Step-by-step explanation:

Step 1: Factor

(3x + 2)(3x - 1) = 0

Step 2: Find roots

3x + 2 = 0

3x = -2

x = -2/3

3x - 1 = 0

3x = 1

x = 1/3

Answer:

Step-by-step explanation:

factor ; (3x-1)(3x+2)=0

then make both 3x-1 and 3x+2 equal to 0

(3x-1)=0   solve        3x+2=0

+ 1      +1                        -2   -2

_______                  _______

3x = 1                       3x = -2

x =1/3                       x= -2/3

check for to make sure both solutions work by plugging back into the equation

Answer:

19 minutes

Step-by-step explanation:

30 ft³ = 224.4 Gallons

224.4 gallons / 12 gallons/min

18.7 min

round -- 19 minutes

Answer:

Total sale in month of May and April = $1980

Step-by-step explanation:

Sale in the month of April

= Total sale of paintings + Total sale of stone scripture + mini-bronze sculpture

= 2 * 95 + 5 * 64 + 1 *150

= $ 660

Sale in the month of May = 2 * sale in the month of April

Sale in the month of May = 2 *  $660

Sale in the month of May = $1320

Total sale in month of May and April = 660 + 1320 = $1980

So, if the machine in 4.5.2 is traded in, approximately R615,060 extra needs to be paid.

To calculate the depreciated value of the machine after 6 years, we can use both simple interest and compound interest.

4.5.1 Depreciation at simple interest rate:
The formula for simple interest is:
Depreciated value = Initial value - (Initial value * depreciation rate * time)
In this case, the initial value is R900,000, the depreciation rate is 5% (or 0.05), and the time is 6 years. Plugging in these values into the formula, we get:
Depreciated value = R900,000 - (R900,000 * 0.05 * 6) = R900,000 - R270,000 = R630,000

So, the depreciated value of the machine after 6 years, with simple interest depreciation, is R630,000.

4.5.2 Depreciation at compound interest rate:
The formula for compound interest is:
Depreciated value = Initial value * (1 - depreciation rate)^time
Again, the initial value is R900,000, the depreciation rate is 5% (or 0.05), and the time is 6 years. Plugging in these values into the formula, we get:
Depreciated value = R900,000 * (1 - 0.05)^6 = R900,000 * 0.95^6 ≈ R900,000 * 0.7351 ≈ R661,590

So, the depreciated value of the machine after 6 years, with compound interest depreciation, is approximately R661,590.

4.6 To determine the price of the new machine in 4.5 after 6 years, we need to take into account the rate of inflation, which is 6% compounded annually. This means that the price of the new machine will increase by 6% each year.

To calculate the price of the new machine, we can use the formula for compound interest:
New price = Initial price * (1 + inflation rate)^time
In this case, the initial price is R900,000, the inflation rate is 6% (or 0.06), and the time is 6 years. Plugging in these values into the formula, we get:
New price = R900,000 * (1 + 0.06)^6 ≈ R900,000 * 1.4185 ≈ R1,276,650

So, the price of the new machine after 6 years, with the 6% inflation rate, is approximately R1,276,650.

To calculate how much extra needs to be paid if the machine in 4.5.2 is traded in, we need to subtract the depreciated value of the machine in 4.5.2 from the price of the new machine.
Extra payment = Price of new machine - Depreciated value of machine in 4.5.2
Plugging in the values, we get:
Extra payment = R1,276,650 - R661,590 ≈ R615,060

So, if the machine in 4.5.2 is traded in, approximately R615,060 extra needs to be paid.

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Answer:

C Side ZX

Because ZX is a reflection of CD

The value of Erica's investment after 6 years is approximately $4,939.05.

To find the value of Erica's investment after 6 years, we can use the compound interest formula. The formula for compound interest is given as:

A = P\((1 + r/n)^(nt)\)

Where:

A is the final amount or value of the investment.

P is the initial principal or investment amount.

r is the annual interest rate (as a decimal).

n is the number of times the interest is compounded per year.

t is the number of years.

In this case, Erica's initial investment is $4000, the annual interest rate is 4% (or 0.04 as a decimal), and the investment is growing annually. Therefore, we have:

P = $4000

r = 0.04

n = 1 (since the interest is compounded annually)

t = 6 years

Plugging these values into the compound interest formula, we can calculate the final value of the investment:

A = $4000(1 + \(0.04/1)^(1*6)\)

A = $4000(1 + 0.04)^6

A = $4000(1.04)^6

Evaluating this expression, we find:

A ≈ $4,939.05

Therefore, the value of Erica's investment after 6 years is approximately $4,939.05.

This calculation assumes that no additional investments or withdrawals were made during the 6-year period and that the interest rate remains constant at 4% per year.

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Answer:

Part A. (Uber)$1 + $2 + 1.05x

(taxi)

Part B. (Uber)$15.60 (12mi) $24(20mi) $55.50(50mi)

(taxi)

Part C.

Step-by-step explanation:

Part B. Uber

12 miles: $1 + $2 + 1.05(12)

3+12.60

15.60

20 miles: $1 + $2 + 1.05(20)

3+21

24

50 miles: $1 + $2 + 1.05(50)

3+52.50

55.50

Part B. Taxi

Part C.

Answer:

okay so what your going to do is going to plot the given cordinates on your graph. Then once your graph is complete your going to go graph what they said which is -2,3 because theres a x axis and y axis and -2 is ur x asis and 3 is ur y axis :)) hoped this helped!

Step-by-step explanation:

If the figure is reflected across the line x = –2 and a translation 3 units up, the new points is at A'(-5, 4), B'(-5, 7), C'(-8, 7) and D'(-8, 4).

A transformation is a function f, usually with some geometrical underpinning, that maps a set X to itself, i.e. f: X → X.

Transformation is the movement of a point from its initial location to a new location. Types of transformation is reflection, translation, rotation and dilation.

Figure ABCD has vertices A(1, 1), B(1, 4), C(4, 4), and D(4, 1). If the figure is reflected across the line x = –2 and a translation 3 units up, the new points is at A'(-5, 4), B'(-5, 7), C'(-8, 7) and D'(-8, 4).

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Answer:

$4752  was collected during that time

Answer:

$4752 was made in the 2 hour time period.

Hope this helps :)

Step-by-step explanation:

12 * 396 = 4752