In a bag there are 3 red marbles, 2 yellow marbles, and 1 blue marble. What is the likelihood of a yellow marble being selected on the first draw?

likely
unlikely
even chance
certain

For constant A to be -4 (option 1) the system of equations have exactly one real solution.

NOTE: We are working with the problem statement: Y=-3 Y=Ax2+4x-4 In the system of equations above, a is constant. For which of the following values of a does the system of equations have exactly one real solution?

We have given, y=-3

y= Ax^2+4x-4

Therefore, -3= Ax^2+4x-4

or, Ax^2+4x-1=0

For second order equation of ax^2+bx+c=0 have a solution for

x= [-b± (√b^2-4ac)]/2a]   [Ax2 + Bx + C = 0 is the Sridharacharya equation, where a, b, and c are real values and a 0. The Sridharacharya formula, which is stated as x = (-b (b2 - 4ac)) / 2a, provides the answer to the Sridharacharya equation.]

For single solution b^2-4ac=0

here, Ax^2+4x-1=0

4^2 - 4a(-1)=0

16+4a=0

a= -(16)/4

a= -4

option A is correct .

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This is only true equation when A is equal to -2. Therefore, the correct answer is B) -2.

B) -2

The given system of equations can be written as:

Y = A*x^2 + 4*x - 4

We can solve this equation by using the Quadratic Formula. The Quadratic Formula states that the solutions to the equation are given by:

x = [-b +/- sqrt(b^2-4ac)]/2a

where a, b, and c are the coefficients of the equation. In this case, a = A, b = 4, and c = -4.

Substituting these values into the equation, we get:

x = [-4 +/- sqrt(4^2-4*A*(-4))]/2A

Simplifying this, we get:

x = [-4 +/- sqrt(16 + 16A)]/2A

For the system of equations to have two real solutions, the value of the square root must be greater than or equal to zero. This means that 16 + 16A must be greater than or equal to zero.

This is only true when A is equal to -2. Therefore, the correct answer is B) -2.

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Answer:

67

Step-by-step explanation:

complementary mean it equals 90 degrees

90-23 = 67

m<2=67

Answer:

D. 3 3/7 ft²​

Step-by-step explanation:

A = LW

A = 4 ft × 6/7 ft²

A = 24/7 ft²

A = 3 3/7 ft²

Answer:

75.36

Step-by-step explanation:

if its 25.12 jus multiply it by 3 since its tripled

Answer:

The other rectangle is 4 squares unit.

Step-by-step explanation:

Area Rectangle Formula: Area = Length * Width

Area R1 = 3 * 3 = 9

Area R2 = (7 - 3) * (3 - 2) = 4 * 1 = 4

Answer: Area of a rectangle that is 4 square units.

Step-by-step explanation:

     See attached for my work.

    The area of a rectangle can be found with A = L * W.

Answer:

3+x

Step-by-step explanation:

sum= addition

a number= a number

Answer:

3+x  

eplanation                                  

Answer:

5

Step-by-step explanation:

If one standard frequency scale is 220 hertz

Then the number of scales 1100 hertz frequency can be calculated as follows

= 1100/220

= 5

Hence 5 scales are present in 1100 hertz frequency

The number can be used to get rid of all fractions is 12

The equation is given as:

6 - 3/4x + 1/3 = 1/2x + 5

The denominator of the fractions are:

4, 3 and 2

The LCM of 4, 3 and 2 is 12

So, we have:

12 * [6 - 3/4x + 1/3] = 12 * [1/2x + 5]

Evaluate the products

72 - 9x + 12 = 6x + 60

Hence, the number can be used to get rid of all fractions is 12

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Answer:

11ts + 4t^2 + 7t

Step-by-step explanation:

7st + 4t(s + t + 4) - 9t

= 7st + 4ts + 4t^2 + 16t - 9t

= 11ts + 4t^2 + 7t

Answer: 11st + 4t² + 7t

Step-by-step explanation:

Expand 4t(s + t + 4) into: 4st + 4t² + 16t

7st +4st + 4t² +16t - 9t

Add and subtract to get your answer

Step-by-step explanation:

To solve the problem, we'll use the information given to find the values of A and k in the equation T = 20 + Ae^(-kt), where T is the temperature in degrees Celsius at time t.

a. Finding the value of A:

We're given that the initial temperature of the tea was 70℃. Substituting this into the equation, we get:

70 = 20 + Ae^(0) (since e^0 = 1)

70 - 20 = A

A = 50

So the value of A is 50.

b. Finding the value of k:

We're told that it takes 4 minutes for the tea to decrease in temperature from 70℃ to 50℃. We can use this information to set up an equation and solve for k.

Substituting T = 70 and t = 4 into the equation, we have:

70 = 20 + 50e^(-4k)

Subtracting 20 from both sides:

50 = 50e^(-4k)

Dividing both sides by 50:

1 = e^(-4k)

Taking the natural logarithm (ln) of both sides:

ln(1) = ln(e^(-4k))

0 = -4k

Dividing both sides by -4:

0 = k

However, we need to check if this solution satisfies the condition for the tea to decrease in temperature from 70℃ to 50℃ in 4 minutes.

Substituting T = 50 and t = 4 into the equation, we have:

50 = 20 + 50e^(-4(0))

50 = 20 + 50e^0

50 = 20 + 50(1)

50 = 20 + 50

50 = 70

Since 50 is not equal to 70, the value of k = 0 does not satisfy the given condition.

Let's try another approach:

Substituting T = 50 and t = 4 into the equation, we have:

50 = 20 + 50e^(-4k)

Subtracting 20 from both sides:

30 = 50e^(-4k)

Dividing both sides by 50:

0.6 = e^(-4k)

Taking the natural logarithm (ln) of both sides:

ln(0.6) = ln(e^(-4k))

ln(0.6) = -4k ln(e)

ln(0.6) = -4k(1)

ln(0.6) = -4k

Simplifying further:

k = ln(0.6) / -4

Using a calculator or computer to evaluate ln(3/5) / -4, we get approximately:

k = ln(5/3) / 4

To recap:

a. The value of A is 50.

b. The value of k is approximately k = ln(5/3) / 4

.

Note: The calculations provided are based on the given information and assumptions. If there are any additional details or specific conditions provided, please let me know, and I'll be happy to assist you further.

It has been (mathematically) proven that there is no polynomial time algorithm for any np-complete problem. the given statement is false.

In order to solve previously unsolvable issues, Leonid Khachiyan developed a polynomial-time method, in which the number of processing steps increases as a power of the number of variables rather than exponentially.

Determining whether NP-complete problems are tractable or intractable remains one of the most crucial concerns in theoretical computer science since it is unknown if any polynomial-time algorithms will ever be developed for them.

So, it is unknown if any polynomial-time algorithms will ever be developed for them.

By applying different constraints, a linear function is maximized or reduced in linear programming, a mathematical modelling approach. In commercial planning, industrial engineering, and—to a lesser extent—the social and physical sciences, this method has proven helpful for directing quantitative decisions.

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Answer:

C

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

I divided 72 jelly donuts and the 12 donuts/boxes. I got 6.

6+8=14÷(-2)=-7-4=-11

Answer:

-11

Step-by-step explanation:

-4 + (6 + 8) / (-2)

-4 + (14) / (-2)

-4 + -7

-4 - 7

-11

Hopefully this helped!

Brainliest please?

Answer:

A,E

Step-by-step explanation:

Operation: Minus

To find how far Sam ran, we need to subtract 2.3 from Dean's distance of 6.8 km.

6.8 km - 2.3 km = 4.5 km

Therefore, Sam ran 4.5 km, since Dean ran 2.3 km fewer than Sam.

Answer:

a and e

Step-by-step explanation:

got it right on homework

#RS

\(\\ \rm\Rrightarrow \dfrac{RS}{TS}=\dfrac{FG}{EF}\)

\(\\ \rm\Rrightarrow \dfrac{RS}{12}=\dfrac{45}{18}=\dfrac{5}{2}\)

\(\\ \rm\Rrightarrow RS=\dfrac{12(5)}{2}=6(5)=30\)

#QR

\(\\ \rm\Rrightarrow \dfrac{HG}{EF}=\dfrac{QR}{TS}\)

\(\\ \rm\Rrightarrow QR=TS=12\)

#QU

\(\\ \rm\Rrightarrow \dfrac{UQ}{QR}=\dfrac{DH}{HG}\)

\(\\ \rm\Rrightarrow \dfrac{UQ}{12}=\dfrac{45}{18}=\dfrac{5}{2}\)

\(\\ \rm\Rrightarrow UQ=30\)

Answer:

RS = 30, QR = 12, QU = 30

Step-by-step explanation:

Step 1:  Determine RS

We can see that RS on the left shape corresponds to FG on the right shape that is also larger.  We can use other sides to help us determine the ratio which will then give us the length of RS.  We can also see that the shape has been flipped so EF would match to ST.

\(RS/ST = FG/EF\)

\(RS/12 = 45/18\)

\(RS * 18 = 12 * 45\)

\(\frac{18*RS}{18} = 540 / 18\)

\(RS = 30\)

Step 2:  Determine QR

We can see that QR on the left shape corresponds to HG on the right shape that is also larger.  We can use other sides to help us determine the ratio which will then give us the length of QR.  We can also see that the shape has been flipped so EF would match to ST.

\(QR/ST = HG/EF\)

\(QR/12 = 18/18\)

\(QR * 18 = 12 * 18\)

\(\frac{18 * QR}{18} = 216 / 18\)

\(QR = 12\)

Step 3:  Determine QU

We can see that QR on the left shape corresponds to DH on the right shape that is also larger.  We can use other sides to help us determine the ratio which will then give us the length of QU.  We can also see that the shape has been flipped so EF would match to ST.

\(QU/ST = DH/EF\)

\(QU/12 = 45/18\)

\(QU * 18 = 12 * 45\)

\(\frac{18*QU}{18} = 540/18\)

\(QU = 30\)

Answer:  RS = 30, QR = 12, QU = 30

Answer:

Step-by-step explanation:

Answer:

the approximate distance between the points is

√25+25 = 5√2

=7.07

Step-by-step explanation:

Answer:

Step-by-step explanation:

$126-$70 =

Answer:

The answer to you question is represented down below \/.

Triangle 1 =

Side A. 8 yd

Side B. 15 yd

Side C. 17 yd

Triangle 2:

Side A. 48 yd

Side B. 90 yd

Side C. 102 yd

How I did it:

Use the equivalent side from each triangle and / Triangle 1's side by Triangle 2's side..

Which then you will get the following:

T1Sa/T2Sa = 8yd / 48yd = 1/6

T1Sb/T2Sb = 15yd / 90yd = 1/6

T1Sc/T2Sc = 17yd / 102yd = 1/6

Therefore it being, 1/6

\(\qquad \qquad \textit{inverse proportional variation} \\\\ \textit{\underline{y} varies inversely with \underline{x}} ~\hspace{6em} \stackrel{\textit{constant of variation}}{y=\cfrac{\stackrel{\downarrow }{k}}{x}~\hfill } \\\\ \textit{\underline{x} varies inversely with }\underline{z^5} ~\hspace{5.5em} \stackrel{\textit{constant of variation}}{x=\cfrac{\stackrel{\downarrow }{k}}{z^5}~\hfill } \\\\[-0.35em] ~\dotfill\)

\(\stackrel{\textit{"y" varies inversely with "x"}}{y = \cfrac{k}{x}}\hspace{5em}\textit{we also know that} \begin{cases} x=4\\ y=16 \end{cases} \\\\\\ 16=\cfrac{k}{4}\implies 64 = k\hspace{9em}\boxed{y=\cfrac{64}{x}} \\\\\\ \textit{when x = 32, what's "y"?}\qquad y=\cfrac{64}{32}\implies y=2\)

Answer: if I help you can you plz put me as a brainly the answer is 15

Step-by-step explanation:

Step-by-step explanation:

hope this help! have a great day

Answer:

150

Step-by-step explanation:

because 30 x 5 =150

Answer:

150°

Step-by-step explanation:

Here,

In linear pair we get the rest of its side angle we get is,

30° + x(unknown value) = 180°

=> x = 150°

Now,

Angle 1 = x. [As corresponding Angles]

So , value of 1 is 150° (Ans)

Answer:

Step-by-step explanation:

Answer:

True

Step-by-step explanation:

Ok im not sure but here is my answer.

He has $75 and he made 3 withdrawls of 18 dollors so

add 18 3 times

18+18+18=54 dollors

54 is less than 75 so the statment is true

The mode will not change.

Given data,

58,60,53,54,60,35,58,60

Outlier is the value in a set of data that much higher or lower than other values in data.

from given data, outlier is 35.

Mode is the value in a set of data that occurs more frequently in set of data.

from given data, 60 occurs more frequently.

Hence, 60 is the mode of data.

If outlier is removed from the data set then it will not affect the mode of the data

Thus, the mode will not change.

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Answer:

6.15 × 10⁵

Step-by-step explanation:

When converting a number of scientific notation, we need to move the decimal point until the number is greater than 1 and less than 10, then multiply this by 10 to the power of the number of places we moved the decimal point (negative when moving it forwards, positive when moving it backwards).

Therefore, 615000 = 6.15 × 10⁵

Answer:a

Step-by-step explanation:

Answer:

As a mixed number, it is 3 5/8.

As an improper fraction it is 29/8.

Hope that helps you. x

Step-by-step explanation:

a) The area of the fish pond is given by the formula:

Area = πr^2

where r is the radius of the pond (which is half of the diameter). So, in this case, r = 10m.

Area = π(10m)^2

Area = 100π m^2

Area ≈ 314 m^2 (rounded to the nearest square meter)

b) The flower border has a width of 2m on the two longer sides and one shorter side of the rectangular park. So, we need to find the area of three strips of land, each of which is 2m wide and has a different length.

The length of the two longer sides is 200m, so the total length of the two strips along these sides is:

2 × 200m = 400m

The length of the shorter side is 100m, but we need to subtract the width of the fish pond (which is 20m) from it, since the flower border does not extend around the pond. So, the length of the strip along this side is:

100m - 20m = 80m

Therefore, the total area of the flower border is:

2m × 400m + 2m × 80m = 960m^2

c) The grassland is the remaining area of the rectangular park after we subtract the area of the fish pond and the flower border from the total area of the park.

The total area of the park is:

200m × 100m = 20,000m^2

The area of the fish pond is:

π(10m)^2 ≈ 314m^2

The area of the flower border is:

960m^2

So, the area of the grassland is:

20,000m^2 - 314m^2 - 960m^2 = 18,726m^2

d) The perimeter of the park is the sum of the lengths of all its sides.

The two longer sides have a length of 200m each, but we need to add the lengths of the two flower borders (each of which is 2m wide), so the total length of the two longer sides is:

200m + 2m + 2m = 204m

The shorter side has a length of 100m, but we need to add the length of the flower border (which is 2m wide), so the total length of the shorter side is:

100m + 2m = 102m

The perimeter of the park is:

204m + 204m + 102m = 510m

Therefore, the perimeter of the park is 510 meters.

Yes the relation is a function because each input value has only one output value

Function is a type of relation, or rule, that maps one input to specific single output.

The x circle contains the numbers -6, -1, 4, and 0. The y circle contains the numbers -2, -1, and 3.

The mapping is of numbers from x to numbers from y. There are arrows going from 6 to -1, from -1 to 2, from 4 to 3, and from 0 to 3.

Thus, we conclude that yes the relation is a function because for each element of the set X there is only one correspondent element in the set Y.

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Answer: c

Step-by-step explanation: i did the test C: