What two numbers go there (Part 2)

Answer:

Algebraic Expression.

The equation of the line from the given figure is y=-7.

We need to find the equation of the line from the given figure.

The equation of a line is an algebraic form of representing the set of points, which together form a line in a coordinate system. The numerous points which together form a line in the coordinate axis are represented as a set of variables x and y to form an algebraic equation, which is referred to as an equation of a line.

From the given figure, we can see that the line is passing through the point (0, -7).

The slope (m) of the line is 0.

Put m=0 and (0, -7) in y=mx+c and simplify.

That is, -7=c

Now, substitute c=-7 in y=mx+c.

Thus, y=-7

Therefore, the equation of the line from the given figure is y=-7.

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Answer & explanation:

The student made an error by adding an r after removing the parentheses instead of subtracting an r.

Correct Steps:

(6b + 4r) – (2b + r)

6b + 4r - 2b - r

4b + 3r

Answer:

yo

Step-by-step explanation:

this was the sample response on edge

The student did not distribute the negative when subtracting. Distributing the negative, the expression is equal to 6b + 4r – 2b – r. Then use the commutative property to rewrite it as 6b – 2b + 4r – r. Then you can use the distributive property to write as (6 – 2)b + (4 – 1)r, which simplifies to 4b + 3r.

If matrix A is a 3 × n matrix whose columns span ℝ³, it means that the columns of A can create any vector in ℝ³ through linear combinations. This implies that A has full column rank, which is equal to 3.

To show that there exists an n × 3 matrix D such that AD = I₃, we can consider the fact that A has full column rank. This means that the columns of A are linearly independent. Since the columns of A span ℝ³, they form a basis for ℝ³.

We can construct matrix D by taking the inverse of the matrix whose columns are the columns of A. Since the columns of A form a basis for ℝ³, the inverse matrix will exist and will be an n × 3 matrix.

By multiplying A with matrix D, we get AD = I₃, where I₃ is the identity matrix of size 3 × 3. This implies that A is a left inverse of D.

However, this does not necessarily mean that A is invertible. For A to be invertible, it should also have full row rank, which means that the rows of A are linearly independent. In this case, A may not have full row rank, as it has more columns than rows (n > 3). Therefore, A may not be invertible.

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Answer:

0.458 seconds

Step-by-step explanation:

dont get mad when its wrong

0.458 seconds

You already know that the ball travels at 90 mi/hr. 60.5 1/475200 = 0.00012732 hours. This is still a small number so express it in seconds. 0.0076389 minutes = 60 0.0076389 = 0.458 seconds. (this from google btw)

Answer:

I think its 7x7 because it equals to 49 and its the closest to 50 and the rug would fit better than 6x 8 1/2=51 becuase 49 is smaller and would fit better.

Step-by-step explanation:

The area of a 2D form is the amount of space within its perimeter. The correct option is B, 8ft diameter.

The area of a 2D form is the amount of space within its perimeter. It is measured in square units such as cm², m², and so on. To find the area of a square formula or another quadrilateral, multiply its length by its width.

Since Courtney and Malik want the rug to fit in an area of 50-square-foot space. Therefore, we need to first calculate the area of the given rugs, and then choose the one that can completely cover the area.

Now, as it can be seen that the only rug that can completely cover the 50-square-foot area is the one that has a diameter of 8 ft.

Hence, the correct option is B, 8ft diameter.

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Answer:

From the left side :

1. X= 60.

2.X= 15.

3.X= 21

Step-by-step explanation:

If u want further explanation , let me know ^^

Good luck ^_^

The faster puppy takes 12 seconds to eat the bowl of kibble, and the slower puppy takes 12 + 24 = 36 seconds to eat the same bowl.

To solve the student question about how long it takes for each puppy to

eat the bowl of kibble individually, we can set up a rate equation.

Let x be the time it takes for the faster puppy to eat the bowl of kibble.

Then, the time it takes for the slower puppy is x + 24 seconds.

Since the two puppies can eat the bowl together in 9 seconds, their

combined rate is 1 bowl per 9 seconds.

The rate of each puppy eating individually is 1/x for the faster puppy and

1/(x+24) for the slower puppy.

Now, we can set up the equation for their combined rate:

1/x + 1/(x+24) = 1/9

To solve this equation, we need to find a common denominator, which is

x(x+24). We can then rewrite the equation as:

(x+24) + x = x(x+24)/9

Now, simplify the equation:

\(2x + 24 = x^2 + 24x / 9\)

Next, multiply both sides by 9 to get rid of the denominator:

\(18x + 216 = x^2 + 24x\)

Move all terms to one side:

\(x^2 + 6x - 216 = 0\)

Now, factor the quadratic equation:

(x+18)(x-12) = 0

There are two solutions: x = -18 and x = 12. However, since time cannot

be negative, we only consider x = 12 seconds.

for the faster puppy.

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In the given IS-LM model, the equilibrium real output, Y, and the equilibrium value of consumption, C, can be determined using the IS and LM equations. The IS equation relates output to the interest rate, while the LM equation represents the equilibrium condition in the money market. By substituting the given values into the equations, we can find the equilibrium values.

The IS equation is given by: Y = 1,586.27 - 3,145.45i.

The LM equation is given as: i = 0.04.

To find the equilibrium real output, we substitute the value of i from the LM equation into the IS equation:

Y = 1,586.27 - 3,145.45 * 0.04.

Calculating the right side of the equation, we have:

Y = 1,586.27 - 125.82,

Y ≈ 1,460.

Therefore, the equilibrium real output, Y, is approximately 1,460.

To find the equilibrium value of consumption, we substitute the equilibrium real output, Y, into the consumption function:

C = 217 + 0.51Y.

Substituting Y = 1,460, we have:

C = 217 + 0.51 * 1,460.

Calculating the right side of the equation, we find:

C ≈ 984.

Therefore, the equilibrium value of consumption, C, is approximately 984.

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The general solution of the differential equation is given by: \(y(x) = c1*sin(2x) + c2*cos(2x) + c3*x + c4*cos(x) + c5*sin(x) + c6*x^2\)

1. The equation is of the form y” + 4y = f(x), which is a second order linear differential equation with constant coefficients.

2. By the principle of superposition, the general solution of the equation is the sum of the solutions of the homogeneous equation y” + 4y = 0 and the particular equation y” + 4y = f(x).

3. The homogeneous equation has two linearly independent solutions, \(y1 = sin(2x) and y2 = cos(2x)\)

4. The particular equation has three linearly independent solutions, \(y3 = x, y4 = cos(x) and y5 = sin(x).\)

5. Hence, the general solution of the equation is\(y(x) = c1*sin(2x) + c2*cos(2x) + c3*x + c4*cos(x) + c5*sin(x) + c6*x^2\), where c1, c2, c3, c4, c5 and c6 are arbitrary constants.

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Answer:0.375

Step-by-step explanation:

3/4=0.75

0.75/2=0.375

(3/4)/2=0.375

Two or more angles are said to be supplementary if and only if they add up to \(180^{o}\).

Thus the required statements and appropriate reasons are stated below:

Two lines are said to be perpendicular when the measure of the angle between them is a right angle. Thus all right angle is congruent.

Angles are said to be congruent if and only if they have equal measure.

Thus in the given question, it can be deduced that:

                     STATEMENT                             REASONS

1. AC ⊥ BD, <1 ≅ <4                                  Given

2. <BCA = \(90^{o}\), <DCA = \(90^{o}\)                       Definition of perpendicular lines

3. <BCA ≅ <DCA                                      Right angles are congruent

4. <BCA = <1 + <2                                     Angle addition property

5. <DCA = <3 + <4                                    Angle addition property

6. <1 + <2 = <3 + <4                                   Distributive property

7. <1 + <2 = <4 + <3                                    Substitution property

8. <2 ≅ <3                                                 Reflexive property

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Answer:

please be more specific

Answer:

Hey there!

Angle QRS is 70, and since it is located on the circle, we have a useful formula. If 141x-1 is called y, then 70 is half of that.

Thus, we have 141x-1=140

141x=141

x=1

Hope this helps :)

Answer:

To find the volume of a cone you must first find the radius of the circle. When you write the radius of the circle in the formula for the volume of a cone it is always the top part of the fraction.  Hope This Helps Mate!! Have A Wonderful Day!!

Answer:

17/20

Step-by-step explanation:

1/4 +3/5 simplify into:

5/20 + 12/20= 17/20

Left Blue Dot (5,9)

Right Blue Dot (7,0)

m = (y2 - y1)/(x2-x1)

= (9-0)/(5-7)

=9/-2

m = -9/2

Don't know the y-intercept so use the formula below to calculate equation of line

y-b = m(x-a)

y-9 = -9/2(x-5)

y-9 = -9x/2 + 45/2

y = = -9x/2 + 45/2 + 18/2

y = -9x/2 + 63/2

Answer:

f(8)=69

Step-by-step explanation:

f(X)= -3 (-3x) -3

f(8)= -3 (-3(8)) -3

= -3 (-24) -3

= 72-3

=69

There is 60 total number of marbles in the bag for the probability of selecting a red marble is 7/10.

The probability of an event occurring is the fraction of the number of required outcome divided by the total number of possible outcomes.

let the total possible outcome = x

probability of selecting a red marble = P(R) = 7/10

Given that there are 42 red marbles tgen:

42/x = 7/10

x = (42 × 10)/7 {cross multiplication}

x = 420/7

x = 60

Therefore, given the probability of selecting a red marble to be 7/10, the total number of marbles in the bag is derived to be 60

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Answer:

>60

Step-by-step explanation:

The difference in miles is 0.25 per mile. Because there is 15$ difference in initial payment then after 60 miles (60x0.25=$15) A will be better option. At $60 A and B are same and lower than B is better

Answer:

Let heads represent a person who exercises the given amount, and let tails represent a person who doesn’t. Because there are three people, flip the coin three times (once for each person) and note the results of each set of three flips. If all three flips land on tails, it would mean that all three randomly selected people do not exercise as much as 50% of Americans do.

Step-by-step explanation:

Answer:

8b

Step-by-step explanation:

You can factor the b-term out since b-term exists for all terms in the expression. By factoring out, you are basically dividing the factored term off and put it outside of the bracket, thus:

\(\displaystyle{16b-8b=\left(16-8\right)b}\)

Then evaluate and simplify:

\(\displaystyle{\left(16-8\right)b=8\cdot b}\\\\\displaystyle{=8b}\)

Answer:

$305.9022863 or $305.90 (rounded to 2 decimal places)

Step-by-step explanation:

It is a compound interest, meaning an interest accumulates on an initial amount every period. The formula  

A= P(1+R)^n

A= the total amount P=Initial amount       R= rate  n=time period

P=$100 R=15% or 0.15(decimal)  n=8 (years)  

A= 100 (1.15)^8

A= 100(3.059022863)

A=305.9022863

The amount you will have after 8 years is $220

The formula for calculating simple interest is expressed as:

SI =PRT

P is the principal = $100

T is the time = 8 years

R is the rate. = 15%

SI = 100 * 8 * 0.15
SI = $120

Amount after 8years = $100 + $120
Amount after 8years = $220

Hence the amount you will have after 8 years is $220

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Answer:

b = 25 - 3 - 8 = 14

c = 40 - 11 -25 = 4

Therefore, the correct answer is 3,375 miles, or option (d) is the correct option.

To find out how far Paul will drive in 15 days, we need to determine his average distance per day and then multiply that number by 15. To find Paul's average distance per day, we can divide the total distance he drove in 3 days by the number of days:

675 miles / 3 days = 225 miles/day.

So Paul drives an average of 225 miles per day. If he continues to drive this same distance every day, he will drive 225 miles/day * 15 days = <<225*15=3375>>3,375 miles in 15 days.

The total distance something has traveled is divided by the total amount of time it took to traverse that distance to arrive at its average speed. Speed is the current rate of movement of something. Average speed is the speed that a vehicle travels at on average over the course of a trip.

A moving object's average speed is calculated by dividing its total distance traveled by its entire travel time. Distance traveled divided by average speed Overall Time. Meter per second is the S.I. unit of speed. KPH, or kilometers per hour, is another unit of speed.

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Answer:

the answer is D

Step-by-step explanation: