find the value of a. A: 15, B: 19

Answer:

C. -30

Step-by-step explanation:

We would have to do order of operations or P.E.M.D.A.S. So fist we would do 7 times -4 which is -28 than we would do the absolute value of -6 which is 6 so we would do -28-6 which is -34 and we would do the absolute value of 4 which is 4 and we would add it to -34 which is -30 so our final answer would be C. -30

Answer:

a. [tex] \frac{- 42,500}{(v + 60)(v - 40)} [/tex]

Step-by-step Explanation:

Given:

Distance Ottawa to Québec = 425 km

Initial flight rate = v + 60

Return flight rate = v - 40

[tex] t = \frac{d}{r} [/tex]

Required:

Flight times difference of the initial and return flights

Solution:

=>Flight time of the initial flight:

[tex] t = \frac{d}{r} [/tex]

[tex] t = \frac{425}{v + 60} [/tex]

=>Flight time of the return flight:

[tex] t = \frac{425}{v - 40} [/tex]

=>Difference in flight times:

[tex] \frac{425}{v + 60} - \frac{425}{v - 40} [/tex]

[tex] \frac{425(v - 40) -425(v + 60)}{(v + 60)(v - 40)} [/tex]

[tex] \frac{425(v) - 425(40) -425(v) -425(+60)}{(v + 60)(v - 40)} [/tex]

[tex] \frac{425v - 17000 -425v - 25500}{(v + 60)(v - 40)} [/tex]

[tex] \frac{425v - 425v - 17000 - 25500}{(v + 60)(v - 40)} [/tex]

[tex] \frac{- 42,500}{(v + 60)(v - 40)} [/tex]

Answer:

44 degrees

Step-by-step explanation:

4 multiplied by 7 is 28.

28 + 2 = 30

angle ABC = 30 degrees

3 multiplied by 7 is 21

21 - 7 = 14.

angle CBD = 14 degrees.

30 + 14 = 44.

The answer is ABD = 44 degrees

Answer:

17.95+18x <= 40

Step-by-step explanation

<= less than or equal to0

Answer:

The maximum number of miles than Chloe can drive are:

122.5

Step-by-step explanation:

$1 = 100¢

18¢ = 18/100 = $0.18

17.95 + 0.18m = 40

m = maximum number of miles than  can drive

0.18m = 40 - 17.95

0.18m = 22.05

m = 22.05/0.18

m = 122.5

Answer:

For this case we have this function:

[tex] f(x) =\frac{x^2 +5x-36}{x^2 +8x-9}, x=9[/tex]

We can factor the denominator and we got:

[tex] f(x) =\frac{x^2 +5x-36}{(x+9)(x-1)}, x=9[/tex]

And since we can't divide by 0 then the value of x can't be 1 or -9 so then the best answer for this case would be:

Continuous at every real number except x=1 and x=-9

Step-by-step explanation:

For this case we have this function:

[tex] f(x) =\frac{x^2 +5x-36}{x^2 +8x-9}, x=9[/tex]

We can factor the denominator and we got:

[tex] f(x) =\frac{x^2 +5x-36}{(x+9)(x-1)}, x=9[/tex]

And since we can't divide by 0 then the value of x can't be 1 or -9 so then the best answer for this case would be:

Continuous at every real number except x=1 and x=-9

Answer:

A or continuous at every real number except x=1 and x=-9

Step-by-step explanation:

Just took the test :)

Answer:

The given power series [tex]y =\sum^{\infty}_{n=0} {(-1)^n x^{2n}}[/tex] is a solution of the differential equation (1+x^2)y' + 2xy = 0

Step-by-step explanation:

This is a very trivial exercise, follow the steps below for the solution:

Step 1: Since n = 0, 1, 2, 3, 4, ........, Substitute the values of n into equation (1) below.

[tex]y =\sum^{\infty}_{n=0} {(-1)^n x^{2n}}[/tex].....................(1)

[tex]y = 1 - x^2 + x^4 - x^6 + x^8.........[/tex]

Step 2: Find the derivative of y, i.e. y'

[tex]y' = -2x + 4x^3 - 6x^5 + 8x^7 .............[/tex]

Step 3: Substitute y and y' into equation (2) below:

[tex](1+x^2)y' + 2xy = 0\\\\(1+x^2)(-2x + 4x^3 - 6x^5 + 8x^7......) + 2x(1 - x^2 + x^4 - x^6 + x^8.......) = 0\\\\-2x+ 4x^3 - 6x^5 + 8x^7........ - 2x^3 +4x^5 - 6x^7 + 8x^9 ......+ 2x - 2x^3 + 2x^5 - 2x^7 + 2x^9...... = 0\\\\0 = 0[/tex]

(Verified)

Since the LHS = RHS = 0, the given power series [tex]y =\sum^{\infty}_{n=0} {(-1)^n x^{2n}}[/tex] is a solution of the differential equation (1+x^2)y' + 2xy = 0

Answer:

9mph

Step-by-step explanation:

Given the following :

Speed of train = 45miles per hour

Distance of the man = 2/5

To avoid just about being hit by the train:

The main may run to the start point of the bridge towards the train = 2/5 length of the bridge, this is also when the train gets to the bridge

If the man runs forward away from the train, he has to cover a distance of (1 - 2/5) = 3/5 to avoid being hit, this is also when the train gets to the end of the bridge.

From here it could be inferred that :

The distance 3/5 ran by the man away from the bridge is equivalent to (3/5 - 2/5) =1/5, which seems to be moved by th etrain during the same period.

However, the only explanation for the discrepancy in length or distance is that the train moves faster than the man.

If the train's speed = 45mph

Then the train's speed is 5 times the speed of the man;

Man speed is thus;

(1/5) * 45 = 9mph

Answer:

axis of symmetry x=3

vertex (3, 52)

Step-by-step explanation:

y = -5x² + 30x + 7

x = -b/2a = -30/2(-5) = -30/-10 = 3

y = -5(3)² + 30(3) + 7

y = -45 + 90 + 7

y = 52

Answer:

2x'2-3x-12

Step-by-step explanation:

(x-4) (2x+3)

2x'2 + 3x-6x-12

2x'2-3x-12

* this " '2 is squared

Answer:   If this helps plz mark as brainliest  

Step-by-step explanation:

(x−4)(2x+3)

=(x+−4)(2x+3)

=(x)(2x)+(x)(3)+(−4)(2x)+(−4)(3)

=2x2+3x−8x−12

=2x2−5x−12

Answer: Other answer is incorrect. It’s asking for the expected winnings of a single ticket. The answer is -.95

Step-by-step explanation:

1/10,000

3/10,000

5/10,000

20/10,000

9971/10,000

-

2998

998

498

98

-2

-

2998+2994+2490+1960-1992 =

-9500/10000 = -.95

Answer:

C . Sea level

Step-by-step explanation:

If points below the sea level are represented using negative numbers; and

Points above the sea level are represented using positive numbers.

The point labeled 0 meters represents the sea level since it is the indicator of whether a point is positive or negative.

The correct option is C.

Answer:

A)  Sea level

Step-by-step explanation:

Answer:

domain is:(-∞,-3]∪ [3,∞)

Step-by-step explanation:

f(x)=√(x²-9)

f(x)=√(x-3)(x+3)

domain is:(-∞,-3]∪ [3,∞)

Answer:

60 and 87

Step-by-step explanation:

Question 1: The chance of losing would be 100% - 40% = 60%.

Question 2: Again, we just have to do 100% - 13% = 87%.

Answer:

Below

Step-by-step explanation:

First question:

Jade has a 40% chance of winnig wich could be expressed as 2/5

The chance of losing is the remainning pourcentage from 100%

●100-40 =60%

60% is the chance of losing wich could be expressed as 3/5

The sum of 3/5 and 2/5 is 1 so it's true.

■■■■■■■■■■■■■■■■■■■■■■■■■

Same method for the 2nd question:

The person has a 13 % chance of winning.

The chance of losing is 87%

● 100-13 =87

Answer:

A

Step-by-step explanation:

The syntax is binomcdf(trials, probability, value). There are 100 trials, and the probability is 0.5. binomcdf will return the probability that there is at most n successes. So, in this case we want 45 or less successes, so n is 45. So, the answer is binomcdf(100, 0.5, 45).

Hope this makes sense! Please give brainliest!

Answer:

30 same day 15 advance

Step-by-step explanation:

Answer:

quadratic

Step-by-step explanation:

This graph has a parabola form wich is a propertie for qaudratic functions

Answer:

A

Step-by-step explanation:

Step-by-step explanation:

736 / 365 = 2R6

So even if the first 365 students all have different birthdays, and the next 365 students also all have different birthdays, then there are 2 students for every birthday.  The last 6 students therefore share a birthday with at least 2 other students.  So there are at least 3 students who share a birthday.

Yes, we can prove that at least three students have a birthday on the same day of the year.

What is algebra?

Algebra is the study of mathematical symbols and the rules for manipulating these symbols in formulas.

We have,

Total number of students = 736

So,

In a year there are 365 days.

And we have 736 students,

So,

Two students have birthday on same day = 365 × 2 = 730

NOw,

Students left = 736 - 730 = 6

So,

These 6 Students  share birthday with othe 6 Students .

So, yes there are at least three students who have a birthday on the same day of the year

To learn more about algebra click here,

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Similar triangles have side lengths that are proportional to each other. To find each of the missing lengths, we need to set up proportions.

The proportions will look as follows:

(length or unknown of triangle 1) / (length or unknown of triangle 2) = (length of triangle 1) / (length of triangle 2)

-On both sides, remember to be consistent with which length/unknown you put on top! If a triangle 1 length is the numerator on the left, then it also needs to be the numerator on the right! And this also works vice versa with triangle 2.

In each proportion equation, we can only have one unknown. On the left side of the equation, we choose one length or unknown of triangle 1, and the corresponding side length of unknown of triangle 2 (whichever you did not choose from triangle 1). On the right side of the equation, we use a completed proportion. This is because all of the sides of one triangle are proportional to the other triangle, but we need to know that proportion/ratio in order to find other side lengths.

Let's start with problem a, to show how this works:

Triangle 1 side lengths - 16, a, 11

Triangle 2 side lengths - 8, 3, b

As you can tell, the side lengths match up (corresponding!) on each triangle, as in they are in the same position on each triangle. Now, we will set up a proportion to find the length of side a on triangle 1.

a / 3 = 16 / 8

48 = 8a

a = 6

Next, let's find the length of side b on triangle 2.

11 / b = 16 / 8

16b = 88

b = 5.5

Moving on to problem b, we'll apply the same concept and steps from problem a in order to find the missing side lengths.

Triangle 1 side lengths: 5, 5.5, d

Triangle 2 side lengths: 15, c, 18

5 / 15 = 5.5 / c

5c = 82.5

c = 16.5

5 / 15 = d / 18

15d = 90

d = 6

Hope this helps!! :)

Answer:

On a) you can see the shapes are simular. The blue line signatures that they are equal just reduced. You can see that 8 goes into 16 two times so for the orange line 3 must times 2. Which would mean a is 6. Now on the red line all you see is 11. So divide 11 by 2 and your answer should be 5.5 for b.

On b) it is the same thing but you have to find how the blue line is divisible. 5 divided by 15 is 3. So 3 is the number you will be using to divide or multiply. For the orange line you divide 18 by 3. The answer is 6 for d. For the red line 5.5 times 3 and you should get 11 for c.

Step-by-step explanation:

Hope this helped

Answer:

1312 feet

Step-by-step explanation:

41 ft=1 sec

how about 32 sec

41 x 32=1312/1=1312

Answer:

work is shown and pictured

Answer:

The selling price in other to maximize his profit is $13

Step-by-step explanation:

In the above question we are given the following information:

Cost of material per necklace = $6

Firstly, terry sold 20 necklaces per day

= $10 each

Later he increased he increased the prices by 1 dollar and the number of necklaces he sold reduced by 2

Mathematically

18 necklaces = $11 each

Step 1

We find the Cost function C(x)

Let's assume that x = number of necklaces sold

If each material cost $6 , then

C(x) = 6 × x = 6x

Step 2

P(Profit) = R(x) - C(x)

R(x) = Revenue

Where Revenue = x × p(x)

Since p(20) = 10 and p(18) = 11

p(x) = -1/2x + 20

P(Profit) = x ( -1/2x + 20) - C(x)

C(x) = 6x

P = x(-1/2x + 20) - 6x

P = -1/2x² + 20x - 6x

P = -1/2x² + 14x

Step 3

We maximise the profit by differentiating P

P = Profit

P = -1/2x² + 14x

We differentiate P to find x

∆P/∆x = dp/dx = -x + 14

-x + 14 = 0

-x = -14

x = 14

Hence, we substitute 14 for x in the price function

p(x) = - 1/2x + 20

since , x = 14

p(14) = - 1/2 × 14 + 20

= -7 + 20

= $13

Therefore, the selling price function to maximize his profit is $13

Above question the given data:  

1.Cost function C(x)

Let's assume that x = number of necklaces sold

If each material cost $6 , then

C(x) = 6 × x

C(x) = 6x  

2.P(Profit) = R(x) - C(x)

R(x) = Revenue ,Where Revenue = x × p(x)

Given data:

p(20) = 10

p(18) = 11

p(x) = -1/2x + 20

P(Profit) = R(x) - C(x)

P(Profit) = x ( -1/2x + 20) - C(x)

P = x(-1/2x + 20) - 6x

P = -1/2x² + 20x - 6x

P = -1/2x² + 14x

3.Maximise Profit

P = Profit  

P = -1/2x² + 14x

We differentiate P to find x

∆P/∆x = dp/dx = -x + 14

-x + 14 = 0

-x = -14

x = 14

Now, we will substitute 14 for x in the price function

Now ,p(x) = - 1/2x + 20

since , x = 14

p(14) = - 1/2 × 14 + 20  

p(14)= -7 + 20  

p(14)= $13

Thus, the selling price function to maximize his profit is $13.

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Answer:

7 and 14

Step-by-step explanation:

let one integer = x

other integer = 2x

sum of reciprocal = 1/x + 1/2x

= 3/2x = 3/14

= x = 7

one no. = 7

other no. = 14

Answer:

B: -1/2(-2)(x+3)= -10(-1/2)

Step-by-step explanation:

The best step to begin to simplify the equation is to try to get a coefficient for the variable x equal to 1. we can do that if we multiply in both sides of the equation by -1/2 as option B.

So, if we keep simplifying, we get:

   -2 (x + 3) = -10

-1/2(-2)(x+3) = -10(-1/2)

          x + 3 = 5

     x + 3 - 3 = 5 - 3

                x = 2

Answer:

The answer is B

Step-by-step explanation:

-1/2(2)(x+3)=-10(1/2)

Answer:

x = 88

Step-by-step explanation:

The sum of the angles in a triangle add to 180

47+45 +x = 180

Combine like terms

92+x = 180

Subtract 92 from each side

92+x-92= 180-92

x =88

Answer:

-3.5 meters per second

Step-by-step explanation:

Take the distance and divide by the time

-17.5 meters/ 5 seconds

-3.5 meters per second

Answer:

-3.5 m/s

Step-by-step explanation:

Rate of the anchor =  [tex]\frac{distance}{time}[/tex]

[tex]\frac{-17.5}{5}[/tex]

-3.5 meters per second.

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▹ Answer

12

▹ Step-by-Step Explanation

[tex]7/\frac{7}{12} \\\\= 7 * \frac{12}{7} \\\\= \frac{84}{7} \\\\= 12[/tex]

Hope this helps!

CloutAnswers ❁

Brainliest is greatly appreciated!

━━━━━━━☆☆━━━━━━━

Answer:

[tex]\boxed{x^2+y^2 = 49}[/tex]

Step-by-step explanation:

First, we'll find the length of the radius using distance formula and the coordinates (0,0) and (7,0)

Distance Formula = [tex]\sqrt{(x2-x1)^2+(y2-y1)^2}[/tex]

R = [tex]\sqrt{(7-0)^2+(0-0)^2}[/tex]

R = [tex]\sqrt{7^2}[/tex]

Radius = 7 units

Now, Equation of circle:

[tex](x-a)^2+(y-b)^2 = R^2[/tex]

Where (a,b) = (0,0) So, a = 0, b = 0 and R = 7 units

=> [tex](x-0)^2+(y-0)^2 = (7)^2[/tex]

=> [tex]x^2+y^2 = 49[/tex]

This is the required equation of the circle.

Answer:

x^2 + y^2 = 49

Step-by-step explanation:

We can write the equation of a circle as

( x-h) ^2 + ( y-k) ^2 = r^2

where ( h,k) is the center and r is the radius

The radius is the distance from the center to a point on the circle

(0,0) to (7,0) is 7 units

so the the radius is 7

( x-0) ^2 + ( y-0) ^2 = 7^2

x^2 + y^2 = 49

Answer:

16 squares

Step-by-step explanation:

The area of an isosceles is [tex]\frac{bh}{2}[/tex]

[tex]8 \cdot 4 = 32\\32 \div 2 = 16[/tex]

Hope this helped!

Answer:

area = 16 unit ²

Step-by-step explanation:

given:

base = 8

height = 4

req'd : area of a triangle

area of isoceles triangle = 1/2 * b * h

= 1/2 * 8 * 4

= 16 unit²

Answer: C. 3, 11, 23, 31

Step-by-step explanation:

None of these can be divided by anything except themselves and 1.

Answer:

7/44

Step-by-step explanation:

First find the total number of presidents.

2 + 7 + 13 + 12 + 7 + 3 = 44

There were 7 presidents that were 45-49 when elected.  Divide this number by the total number of presidents to find the fraction.

7/44 ≈ 0.159