Brice has 400 toy cars. Of the toy cars, 15% are red, 40% are green, and the rest are multicolor.
How many toy cars are multicolor?
O 160
O 60
O 180
100

The solution to the given differential equation is \(y = a_0x^{[0]} + a_1x^{[1]} + a_2x^{[2]}\), where a_0, a_1, and a_2 are constants.

To fathom the given differential equation, xy'' + y' = 0, we will begin by expecting a control arrangement of the frame y = ∑(n=0 to ∞) a_nx^n, where a_n speaks to the coefficients to be decided.

Separating y with regard to x, we get:

\(y' = ∑(n=0 to ∞) a_n(nx^[(n-1))] = ∑(n=0 to ∞) na_nx^[(n-1)]\)

Separating y' with regard to x, we get:

\(y'' = ∑(n=0 to ∞) n(n-1)a_nx^[(n-2)]\)

Presently, we substitute these expressions for y and its subsidiaries into the differential condition:

\(x(∑(n=0 to ∞) n(n-1)a_nx^[(n-2))] + (∑(n=0 to ∞) na_nx^[(n-1))] =\)

After improving terms, we have:

\(∑(n=0 to ∞) n(n-1)a_nx^[(n-1)] + ∑(n=0 to ∞) na_nx^[n] =\)

Another, we compare the coefficients of like powers of x to zero, coming about in a boundless arrangement of conditions:

For n = 0: + a_0 = (condition 1)

For n = 1: + a_1 = (condition 2)

For n ≥ 2: n(n-1)a_n + na_n = (condition 3)

Disentangling condition 3, we have:

\(n^[2a]_n - n(a_n) =\)

n(n-1)a_n - na_n =

n(n-1 - 1)a_n =

(n(n-2)a_n) =

From equation 1, a_0 = 0, and from equation 2, a_1 = 0.

For n ≥ 2, we have two conceivable outcomes:

n(n-2) = 0, which gives n = or n = 2.

a_n = (minor arrangement)

So, the solution to the given differential equation is \(y = a_0x^{[0]} + a_1x^{[1]} + a_2x^{[2]}\), where a_0, a_1, and a_2 are constants.

Learn more about differential equations here:

https://brainly.com/question/28099315

#SPJ1

Answer:

y= -9x - 6

Step-by-step explanation:

As x goes up by 1, y goes down by 9. We know that this is linear, not exponential.

Pick two points to find m, the slope.

(-1, 3) and (0, -6)

-9/1 = -9 as predicted

y = -9x + b

Plug in another point, such as (-1, 3)

3 = 9 + b

b = -6

EQUATION:

y= -9x - 6

Answer:

The equation of a circle is:

(x−x0)2+(y−y0)2=R2  

where  x0  and  y0  are the center of the circle  (x0,y0)  and  R  is the radius of the circle.

Step-by-step explanation:

Step-by-step explanation:

The equation of the circle is (x + 10)² + (y + 6)² = 81.

The measurement 22.4 ft is more accurate, while the measurement  based on precision alone 5.82 ft is more precise.

Accuracy refers to how close a measurement is to the true or accepted value. In this case, since we don't have the true value or a reference point, we can't determine the accuracy directly. However, we can compare the measurements to each other to determine which one is closer to a commonly accepted value, if any.

Precision, on the other hand, refers to the consistency and reproducibility of a measurement. The measurement 5.82 ft has a higher precision because it has more decimal places, indicating a more refined measurement.

Therefore, based on precision alone, 5.82 ft is more precise. However, without a reference point or true value, we cannot determine the accuracy of either measurement.

To learn more about precision click here : brainly.com/question/28336863

#SPJ11

Answer:

x = 10

y = 4

Hope this helps :)

Please mark me as Brainliest

Answer: Nothing further can be done with this topic. Please check the expression entered.

Step-by-step explanation:

In determining whether a process is in statistical control, the R-chart should be analyzed first.

Given that, in determining whether a process is in statistical control, the _____ should be analyzed first.

A quality control technique called statistical process control uses statistical techniques to monitor and manage a process. This makes it possible to maintain an effective process that generates more products that meet specifications while using less trash.

When measuring small subgroups (n 10) from a process at regular intervals, an R-chart is a sort of control chart that is used to track the process variability (as the range). The value of a subgroup range is represented by each point on the chart.

Therefore, in determining whether a process is in statistical control, the R-chart should be analyzed first.

To learn more about statistical control visit:

https://brainly.com/question/17150305.

#SPJ4

Answer:

Step-by-step explanation:

Determine the perpendicular bisector of AB:

Slope of AB = (12-6)/(4-14) = -0.6

Midpoint of AB: ((4+14)/2, (12+6)/2) = (9, 9)

Perpendicular bisector: y = -0.6x + 14.4

Determine the perpendicular bisector of AC:

Slope of AC = (12-2)/(4+6) = 1

Midpoint of AC: ((4-6)/2, (12+2)/2) = (-1, 7)

Perpendicular bisector: y = x + 8

Circumcenter is the intersection of the perpendicular bisectors.

x + 8 = -0.6x + 14.4

1.6x = 6.4

x = 4

y = x + 8 = 12

(4,12)

Answer:

no solution exists:

Step-by-step explanation:

x²−1x+10=0

Step 1: Simplify both sides of the equation.

x²−x+10=0

Step 2: Subtract 10 from both sides.

x²−x+10−10=0−10

x²−x=−10

Step 3: The coefficient of -x is -1. Let b=-1.

Then we need to add (b/2)^2=1/4 to both sides to complete the square.

Add 1/4 to both sides.

x²−x+ 1/4=−10+ 1/4

x²−x+ 1/4=−39 /4

Step 4: Factor left side.

(x  -1/2)² = −39 /4

Step 5: Take square root.

x  −1 /2 =±√ −39 /4

Step 6: Add 1/2 to both sides.

x  =−1/2  + 1/2 = 1/2 ±√ -39/4

x = 1/2 ±√ -39/4

No real solutions.

Answer:

Just right

Step-by-step explanation:

BRAIN PLS

The process standard deviation is mathematically given as

Standard deviation = 0.25

Generally, the equation for is mathematically given as

Process capability ratio,

Cp = \(\frac{USL - LSL}{ 6*\sigma}\)

Upper specifications USL= 10 min

Lower specifications LSL= 8 min

Standard deviation as  \(\sigma\)

Therefore,

Cp = (10-8)/ 6*\(\sigma\)

1.33 = (10-8)/ 6*\(\sigma\)

\(\sigma\) = 0.25

In conclusion, the process standard deviation is

\(\sigma\) = 0.25

standard deviation = 0.25

Read more about standard deviation

https://brainly.com/question/16555520

#SPJ4

Answer: 10

Step-by-step explanation:

So to find range you take the highest number and subtract it by the lowest

Answer:highest take lowest,15-5=10

The range is 10.

Step-by-step explanation:

Answer:

B) 1/3

Step-by-step explanation:

Add up all the marbles

5 + 6 + 3 + 4 = 18 marbles

Make a fraction of the red marbles out of all the marbles

6/18

Simplify the fraction

1/3

Answer:

b

Step-by-step explanation:

chances of drawing a red is 6/18

6/18=1/3, so its B

a) The fraction that shows the proportion of employees who want to go to Restaurant B is ⁷/₂₅.

b) The percentage of employees who favor Restaurant B is 28%.

Proportion refers to the ratio that one quantity or value has compared to another.

Proportions can be expressed as fractions, percentages, or when decimals.

The total number of employees in the group = 25

The number of employees who favor Restaurant A = 18

The number of employees who prefer Restaurant B to A = 7

Fraction of employees who prefer Restaurant B to A = ⁷/₂₅

Percentage of employees who favor Restaurant B = 28% (⁷/₂₅ x 100)

Learn more about proportions, fractions, and percentages at https://brainly.com/question/22747858.

#SPJ1

If the line and curve intersect, it happens when

\(mx + 2 = x^2-5x+18\)

or

\(x^2-(m+5)x + 16 = 0\)

Recall the discriminant (denoted by ∆) of a quadratic expression:

\(\Delta (ax^2+bx+c) = b^2 - 4ac\)

If the discriminant is positive, then the quadratic has two real roots. If it's zero, it has only one real root. If it's negative, it has two complex roots. We're interested in the third case, because that would make it so the above equation has no real roots corresponding to points of intersection in the x,y-plane.

The discriminant here is

\((-(m+5))^2 - 4\cdot16 = (m+5)^2-64\)

Find all m such that this quantity is negative:

\((m+5)^2-64 < 0 \\\\ \implies (m+5)^2 < 64 \\\\ \implies \sqrt{(m+5)^2} < \sqrt{64} \\\\ \implies |m+5| < 8 \\\\ \implies -8 < m + 5 < 8 \\\\ \implies \boxed{-13 < m < 3}\)

Using the augmented matrix, we find that:

------------------

For the first system, looking at the third row of the matrix, the relation is:

\(0t = 1\)

Which is not possible, thus there are no solutions.

For the second system, the third line is:

\(0t = 0\)

Which means that there are infinite solutions, and t is the free parameter.

From the second line, y = 5.

From the first, \(x + 3t = 0 \rightarrow x = -3t\)

The solutions are: (-3t, 0, t).

A similar problem is given at https://brainly.com/question/24783392

Answer: No Solution

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

i'm taking the test right now

Probability is a branch of mathematics that deals with probability. It's also a number that expresses the probability of something occurring.

P(R) \(=\frac{1}{3}\)

Following are the calculation of the probability that are:

\(=(\frac{2}{1} \frac{1}{3}\frac{2}{3}) +(\frac{1}{3})^2 \\\\=\frac{4}{9} +\frac{1}{9}\\\\ =\frac{5}{9}\\\\\)

Find out more about the probability here:

brainly.com/question/11234923

Answer:

16/25 or 0.64

Step-by-step explanation:

First we separate the 5 from 5√x :

4 = 5×√x

Now we divide both sides by 5 :

4/5 = √x

Now we square both sides :

(4/5)² = x

Simplify :

16/25 = x

0.64 = x

Hope this helped and brainliest please

We are given v = ds/dt, v = 9.8t + 9, s(0) = 17. We need to find the position of a body moving along a coordinate line at time t.

Using the formula of velocity, we can integrate it with respect to t to find the position of the body at any time t. The formula for velocity is:v = ds/dt... (1) Integrating equation (1) with respect to t, we get's = ∫vdt + C ...(2)

Here, C is the constant of integration, and it is found using the given initial position. Given, s(0) = 17Substitute s = 17 and t = 0 in equation (2).17 = ∫(9.8t + 9)dt + C [∵ s(0) = 17]17 = 4.9t² + 9t + C

Therefore, C = 17 - 4.9t² - 9tOn substituting the value of C in equation (2), we get:s = ∫vdt + 17 - 4.9t² - 9t ...(3)Now, we can substitute the given velocity, v = 9.8t + 9, in equation (3).s = ∫(9.8t + 9)dt + 17 - 4.9t² - 9ts = 4.9t² + 9t + 17 - 4.9t² - 9ts = 9t + 17

Hence, the position of the body at time t is 9t + 17 units.

Learn more about velocity here.

https://brainly.com/question/30559316

#SPJ11

The Central angle for Brown,Ginger and Blonde hair color is 180°,72° and 108°.

To work out the central angle for each sector in the pie chart, you need to calculate the percentage of each hair color relative to the total number of people surveyed. Then, you can use this percentage to find the central angle for each sector.

Let's calculate the central angles for each hair color:

a) Hair Color: Brown

Frequency: 15

To find the percentage, divide the frequency by the total number of people surveyed and multiply by 100:

Percentage of Brown hair color = (15 / 30) * 100 = 50%

To find the central angle, multiply the percentage by 360 (the total degrees in a circle):

Central angle for Brown hair color = 50% * 360° = 180°

b) Hair Color: Ginger

Frequency: 6

Percentage of Ginger hair color = (6 / 30) * 100 = 20%

Central angle for Ginger hair color = 20% * 360° = 72°

c) Hair Color: Blonde

Frequency: 9

Percentage of Blonde hair color = (9 / 30) * 100 = 30%

Central angle for Blonde hair color = 30% * 360° = 108°

Now, let's draw the pie chart to show this information:

1. Start by drawing a circle to represent the entire data set.

2. Divide the circle into sectors according to the central angles calculated above. The Brown sector will occupy 180°, the Ginger sector will occupy 72°, and the Blonde sector will occupy 108°.

3. Label each sector with the corresponding hair color (Brown, Ginger, Blonde) and include the respective frequencies (15, 6, 9) next to each label.

4. Optionally, you can use different colors to represent each sector. For example, you can use brown for the Brown sector, orange for the Ginger sector, and yellow for the Blonde sector.

5. Add a title to the chart, such as "Hair Color Distribution."

Remember to include a legend or key that explains the colors used for each hair color.

For more such questions on Central angle,click on

https://brainly.com/question/29545058

#SPJ8  

The probable question may be:

The colour 30 people's hair was recorded in a survey, and the results are going to be shown in a pie chart.

Hair colour :-Brown,Ginger,Blonde

Frequency :-15,6,9

a) Work out the central angle for each sector.

b) Draw a pie chart to show this information

Answer:

-2

Step-by-step explanation:

4y - 7 = - 15

4y = -15 + 7

4y = -8

y = - 8 / 4

y = - 2

Given matrix A = [[-1, -5q, 14m, 1348n]] and matrix B = [[-11v, 9w, -3, -2r, -141]], we need to compute the entries of E = A^T - B.

The transpose of matrix A, denoted as A^T, is obtained by interchanging the rows and columns of matrix A. So, A^T = [[-1], [-5q], [14m], [1348n]].

To compute e21, we find the entry at the second row and first column of E, which is obtained by subtracting the corresponding entries of A^T and B. Therefore, e21 = -1 - (-11v) = 11v - 1.

To compute a31 - b23 + e12, we consider the entry at the third row and first column of A^T, subtract b23 from it, and add e12. Thus, a31 - b23 + e12 = 14m - (-3) + (-5q) = 14m + 3 - 5q.

The final answers for (a) e21 and (b) a31 - b23 + e12 are 11v - 1 and 14m + 3 - 5q, respectively, in exact, reduced form.

Learn more about Transpose Matrix here

https://brainly.com/question/32594071

#SPJ11

The amount invested into 7% simple interest and 5% simple interest is $17,000 and $3,000 respectively.

Let

x + y = 20,000

0.07x + 0.05y = 1340

From (1)

x = 20,000 - y

Substitute into (2)

0.07x + 0.05y = 1340

0.07(20,000 - y) + 0.05y = 1340

1,400 - 0.07y + 0.05y = 1340

- 0.07y + 0.05y = 1340 - 1400

-0.02y = -60

y = -60 / -0.02

y = 3,000

Substitute y = 3,000 into (1)

x + y = 20,000

x + 3,000 = 20,000

x = 20,000 - 3,000

x = 17,000

Therefore, $17,000 and $3,000 was invested into into 7% simple interest and 5% simple interest respectively.

Read more on simple interest:

https://brainly.com/question/20690803

#SPJ1

Answer:

It makes a right traiangle.

Step-by-step explanation:

Graph the points and you will see that it makes a right triangle.

The figure formed by the vertices A(3,5), B(3,1), and C(0,1) is a right-angled triangle.

In this triangle, side BC is the shortest side with a length of 3 units, side AB is the longest side with a length of 4 units, and side AC has a length of 5 units.

The right angle is formed between side BC and side AC at point C (0,1).

Here, we have to identify the figure with the given vertices A (3,5), B (3,1), and C (0,1), we can plot these points on a coordinate plane.

Let's plot the points A(3,5), B(3,1), and C(0,1) on a Cartesian coordinate plane.

A(3,5): This point is located at x-coordinate 3 and y-coordinate 5.

B(3,1): This point is located at x-coordinate 3 and y-coordinate 1.

C(0,1): This point is located at x-coordinate 0 and y-coordinate 1.

Since point A and point B share the same x-coordinate (x = 3), they lie on a vertical line. Point C has a different x-coordinate, so we need to connect it with the others to complete the figure.

The figure formed by connecting the points A, B, and C is a right-angled triangle.

To calculate the distances between the vertices, we'll use the distance formula:

Distance between two points \((x_1, y_1)\) and \((x_2, y_2)\) is given by:

Distance = √\(((x_2 - x_1)^2 + (y_2 - y_1)^2)\)

Let's calculate the distances:

Distance between A(3,5) and B(3,1):

Distance_AB = √\(((3 - 3)^2 + (1 - 5)^2)\)

Distance_AB = √(0 + 16)

Distance_AB = √16

Distance_AB = 4 units

Distance between A(3,5) and C(0,1):

Distance_AC = √\(((0 - 3)^2 + (1 - 5)^2)\)

Distance_AC = √\(((-3)^2 + (-4)^2)\)

Distance_AC = √(9 + 16)

Distance_AC = √25

Distance_AC = 5 units

Distance between B(3,1) and C(0,1):

Distance_BC = √\(((0 - 3)^2 + (1 - 1)^2)\)

Distance_BC = √\(((-3)^2 + 0^2)\)

Distance_BC = √9

Distance_BC = 3 units

As we calculated, the distances between the vertices of the figure are:

AB = 4 units

AC = 5 units

BC = 3 units

Based on the distances, we can determine that the figure formed by the vertices A(3,5), B(3,1), and C(0,1) is a right-angled triangle.

In this triangle, side BC is the shortest side with a length of 3 units, side AB is the longest side with a length of 4 units, and side AC has a length of 5 units.

The right angle is formed between side BC and side AC at point C (0,1).

To learn more on triangle click:

brainly.com/question/29126067

#SPJ3

The present value of the payments is smaller than the amount of the loan, so you will not be able to pay off the loan.

The present value of the payments refers to the current value of the future payments, considering the time value of money. In this case, the payments are made over a period of 8 months, and each payment is listed. To determine if the payments will be enough to pay off the credit card, we need to calculate the present value of these payments and compare it to the initial loan amount of $5,000.

Since the interest rate on the credit card is 1.5% per month, we need to discount each payment back to its present value. By discounting the payments, we can see the equivalent value of these payments in today's dollars. If the present value of the payments is equal to or greater than $5,000, it would be enough to pay off the loan. However, if the present value is smaller than $5,000, it means the payments will not be sufficient to pay off the loan.

In this case, without specific information about the discount rate used to calculate the present value, we cannot make an exact determination. However, based on the given information, which states that the present value of the payments is smaller than the amount of the loan, it suggests that the payments will not be enough to pay off the credit card debt.

Learn more about discount here: brainly.com/question/31746893

#SPJ11

Step-by-step explanation:

(-1/2, 4)

how's this helps

Answer:C: 2/3 B

Step-by-step explanation:

The answers will be ;

a) The required equation will be c =  \(\frac{2}{3}\) b

b) The amount of clay for 8 bowls will be \(5\frac{1}{3}\) pounds.

It is given that the double number line shows the amount of clay Jamal uses to make different numbers of identical bowls.

We have to solve the subparts of the question to get the values.

What is algebra ?

Algebra is the branch that deals with various symbols and the arithmetic operations such as addition , division , etc.

As per the question ;

The clay needed per bowl = \(\frac{2}{3}\) pounds

a)

The equation for clay (c) to make b number of bowls will be ;

c =  \(\frac{2}{3}\) × b

or

c =  \(\frac{2}{3}\) b

b)

If there are 8 number of bowls

i.e., b = 8

Then ; amount of clay Jamal needs will be ;

c =  \(\frac{2}{3}\) × 8

c = \(\frac{16}{3}\) pounds

or

c = \(5\frac{1}{3}\) pounds

Thus , the answers will be ;

a) The required equation will be c =  \(\frac{2}{3}\) b

b) The amount of clay for 8 bowls will be \(5\frac{1}{3}\) pounds.

To learn more about algebra click here ;

brainly.com/question/26479183

#SPJ2

Correct option is B. Mrs. Quabarl is best described as outwardly imposing but easily defied.

Mrs. Quabarl is very vocal about her demands and imposing in her wishes as stated in the passage. But she is also docile and surprised when she is defied, though she speaks nothing of it.

There is no indication of her being selfish, or bitter, neither imprudent. Thus, options A,C and D are incorrect.

Lady Carlotta is approached by the “imposingly attired lady” Mrs. Quabarl while standing at a train station (lines 32-35).

Mrs. Quabarl assumes Lady Carlotta is her new nanny, Miss Hope: “You must be Miss Hope, the governess I’ve come to meet” (lines 36-37). Lady Carlotta does not correct Mrs. Quabarl’s mistake and replies, “Very well, if I must I must” (line 39).

To learn more about passages from given link

https://brainly.com/question/12555695

#SPJ4

The statement ''the symbol μ ˆ p represents the proportion of a sample of size n, not the proportion of a sample of size n.'' is false because the symbol "μ ˆ p" does not represent the proportion of a sample of size n.

In statistical notation, the symbol "μ ˆ p" typically represents the sample proportion, which is an estimate of the population proportion. The sample proportion is obtained by dividing the number of occurrences of a specific event in the sample by the sample size.

On the other hand, the population proportion, denoted by "p," represents the proportion of the entire population that exhibits a certain characteristic or has a specific attribute.

The symbol "μ ˆ p" could be a typographical error or a confusion between different symbols used in statistics. The correct symbol to represent the sample proportion is usually denoted as "p ˆ" or "p-hat." The symbol "μ" typically represents the population mean.

Therefore, it is incorrect to state that "μ ˆ p" represents the proportion of a sample of size n.

To know more about statistical notation refer here:

https://brainly.com/question/28171663#

#SPJ11