Jonah had 120 stickers in
his sticker collection. If his
collection grows by 30%,
how many stickers are in his
collection?

Answer:

63

Step-by-step explanation:

Multiples of 7 that are less than 100:

7, 14, 21, 28, 35, 42, 49, 56, 63, 70, 77, 84, 91, 98

If when a number is divided by 10 it has a remainder of 3, look for the mulitple of 7 with "3" as its units.  Therefore, the number is 63.

The lists that shows grade levels in order from the greatest fraction of students to the least fraction of students is of:

7th grade, 8th grade, 5th grade, 6th grade, 9th grade.

Here, we have,

A fraction is a numerical representation of the division of the two values x and y, as follows:

Fraction = x/y.

The terms are called as follows:

x is the numerator of the fraction.

y is the denominator of the fraction.

The decimal equivalent, which is used to order the fractions, of a fraction is obtained by the division of the numerator of the fraction by the denominator of the fraction.

Hence the equivalents of each fraction are given as follows:

5th grade: 33/50 = 0.66.

6th grade: 13/20 = 0.65.

7th grade: 18/25 = 0.72.

8th grade: 51/75 = 0.68.

9th grade: 3/5 = 0.6.

Hence the order from greatest to least is of:

7th, 8th, 5th, 6th, 9th.

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complete question:

The table shows the fraction of students from different grade levels who are in favor of adding new items to the lunch menu at their school.

Which list shows the grade levels in order from the greatest fraction of students to the least fraction of students?

Responses

7th grade, 8th grade, 9th grade, 6th grade, 5th grade

7th grade, 8th grade, 9th grade, 6th grade, 5th grade

9th grade, 6th grade, 7th grade, 5th grade, 8th grade

9th grade, 6th grade, 7th grade, 5th grade, 8th grade

8th grade, 5th grade, 7th grade, 6th grade, 9th grade

8th grade, 5th grade, 7th grade, 6th grade, 9th grade

7th grade, 8th grade, 5th grade, 6th grade, 9th grade

The intersection of the labor supply and demand curves determines the equilibrium wage rate and quantity of labor.

The labor supply and demand curves are used to analyze the market of labor, where the demand is the amount of labor that employers are willing to hire at a given wage, and the supply is the amount of labor that individuals are willing to supply at a given wage. The labor supply curve is upward sloping and shows the quantity of labor supplied at different wages. Mathematically, this is represented as the equation: Qs = a + bw, where Qs is the quantity of labor supplied, a is a constant, b is the elasticity of labor supply, and w is the wage. The labor demand curve is downward sloping and shows the quantity of labor demanded at different wages. Mathematically, this is represented as the equation: Qd = c – dw, where Qd is the quantity of labor demanded, c is a constant, d is the elasticity of labor demand, and w is the wage. The intersection of the labor supply and demand curves determines the equilibrium wage rate and quantity of labor.

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Answer:

Step-by-step explanation:

To determine if the point is a solution or not, we have to substitute the x-value and see if the y-value is correct:

*For x=5

For x=2

For x=-1

For x=-3

Then, the point that is NOT a solution for the equation is D. (-3, 2). The solution for x=-3 is -5.5.

Answer:

72 meters

Step-by-step explanation:

12 times 9 is 72

Answer:

243 m²

Step-by-step explanation:

Given the scale is 4 : 6 = 2 : 3 , then

scale of areas = 2² : 3² = 4 : 9

area of scale drawing = 12 × 9 = 108 cm²

let x be the actual area then using proportion

\(\frac{4}{108}\) = \(\frac{9}{x}\) ( cross- multiply )

4x = 972 ( divide both sides by 4 )

x = 243

Actual area = 243 m²

Answer:

  -5x = 8

Step-by-step explanation:

The result is shown here. The y-terms cancel.

  \(\begin{array}{rccc}& -2x+7y &= &10 \\-&(\ \,3x+7y &= &2)\\\cline{1-4}&-5x+0y&=&8 \end{array}\)

The simplified result is ...

  -5x = 8

Answer:

The result is that 5x = -8

Step-by-step explanation:

Here, we want to subtract 3x + 7y = 2 from -2x + 7y = 10

Mathematically that would be;

(-2x+7y)-(3x+7y) = 10-2

-2x + 7y -3x -7y = 8

-2x -3x + 0 = 8

-5x = 8 or 5x = -8

Answer: true, true, false, true

Step-by-step explanation:

1 True- 2 is a prime number

2- True 2 is a prime number

3 False 2,3,5,7 can be prime numbers as well

4 True 2 is a prime number

Answer:

10x+12 is the answer in my calculation.

If Anthony sells cars. Each month, he is paid $2,000, plus a 15% commission on monthly sales above $20,000, then the function which represents his monthly earning is E(m) = 2000+0.15(m-20000)

The amount he paid = $2000

The percentage of commission on monthly sales about $20000 = 15%

The function is the expression that represents the relationship between the one variable and another variable. If one variable is dependent variable the other variable will be independent event.

The function which represents his monthly earning

E(m) = 2000+0.15(m-20000)

Hence, if Anthony sells cars. Each month, he is paid $2,000, plus a 15% commission on monthly sales above $20,000, then the function which represents his monthly earning is E(m) = 2000+0.15(m-20000)

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The probability that a single subgrid gets at most 10 firefighters cannot be calculated without knowing the specific values for the mean or expected number of firefighters assigned to each subgrid and other relevant parameters of the distribution.

The Chernoff bound is a probabilistic inequality used to estimate the probability that the sum of independent random variables deviates significantly from its expected value. In this case, we can apply the Chernoff bound to calculate the probability that a single subgrid receives at most 10 firefighters.

To compute the probability, we would need the mean or expected number of firefighters assigned to each subgrid, as well as the variance or other relevant parameters of the distribution. However, these values are not provided in the question, making it impossible to calculate the exact probability.

The Chernoff bound would involve using the moment-generating function of the random variable representing the number of firefighters assigned to a subgrid. Without specific information about the distribution or expected number of firefighters, we cannot proceed with the calculation.

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The probability that the yield strength of a randomly selected piece of rebar is greater than 58 ksi is approximately 0.2119 or 21.19%.

Given that the yield strength of steel rebar follows a normal distribution, the mean yield strength and the standard deviation can be estimated from the graph below as follows: The mean yield strength is estimated by finding the midpoint of the graph. This corresponds to a yield strength of approximately 54 ksi.

The standard deviation can be estimated by looking at the width of the graph at 1 standard deviation from the mean. This corresponds to a range of approximately 49 ksi to 59 ksi, or a standard deviation of approximately (59-49)/2 = 5 ksi.

To estimate the probability that the yield strength of a randomly selected piece of rebar is greater than 58 ksi, we need to use the standard normal distribution. The standard normal distribution is a normal distribution with a mean of 0 and a standard deviation of 1.

To convert from a normal distribution with a mean of 54 ksi and a standard deviation of 5 ksi to a standard normal distribution, we use the formula z = (x - μ) / σ, where x is the yield strength we are interested in, μ is the mean, and σ is the standard deviation.

In this case, we want to find the probability that x is greater than 58 ksi, so we have

z = (58 - 54) / 5 = 0.8.

Using a standard normal distribution table, we can find that the probability of z being greater than 0.8 is approximately 0.2119.

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Answer:

2/5

Step-by-step explanation:

Answer:

1/6

Step-by-step explanation:

Out of these four card choices, for the first pick there are two even cards and four cards in total. This means that on the first pick there is a 2/4=1/2 chance that you pick an even card. On the second pick, if you do not replace the card, then there is 1 even card remaining, and 3 cards in total, leaving a probability of 1/3. Multiplying these two probabilities together, you get an overall chance of 1/6. Hope this helps!

Answer:

04x=24

Step-by-step explanation:

04x=24

divide both sides by 4 to let x stand alone

04x÷4=24÷4

x=6

Answer:

D

Step-by-step explanation:

So we have the equation:

\(ax+by+c=0\)

First, let's convert this to slope-intercept form.

Subtract ax from both sides:

\(by+c=-ax\)

Subtract c from both sides:

\(by=-ax-c\)

Divide everything by b:

\(y=-\frac{a}{b}x-\frac{c}{b}\)

We are told that a>0, b<0, and c>0.

In other words, a is positive, b is negative, and c is positive.

The slope of the equation is -a/b.

Since a is positive and b is negative, we will have:

-(+)/(-).

The negatives will cancel out. Therefore, our slope will be positive.

Since our slope is positive, our line must be upwards sloping. Eliminate answers A and C.

Also, our y-intercept is:

-c/b.

c is positive and b is negative. Thus, similarly:

-(+)/(-).

Again, the negatives cancel. This means that the y-intercept must be positive.

Out of B and D, the graph that has a positive y-intercept is D.

D is our answer :)

The solutions to the equations are

1. x = 4

2. x = -12

3. x = 0 and x = 4

The solutions to the inequalities are

4. -5 < x < 1

5. x ≤ -3 and x ≥ 4

From the question, we have the following equations

1. 4x + 6 = 8x - 10

2. -3/4x - 2 = -1/2x + 1

3. |4 - 2x| + 5 = 9

Next, we split the equations to 2

So, we have

1. y = 4x + 6 and y = 8x - 10

2. y = -3/4x - 2 and y = -1/2x + 1

3. y = |4 - 2x| + 5 and y = 9

Next, we plot the system of equations (see attachment) and write out the solutions

The solutions are

1. x = 4

2. x = -12

3. x = 0 and x = 4

From the question, we have the following inequalities

4. x² + 4x - 5 < 0

5. x² - x - 12 ≥ 0

Next, we plot the system of inequalities (see attachment) and write out the solutions

The solutions are

4. -5 < x < 1

5. x ≤ -3 and x ≥ 4

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(a) The function f(x, y) does not have a limit at (0,0). (b) No information is provided to determine the limit for f2(x, y).

(a) For the function f(x, y) = 5ry²/(3x² + y²), we can analyze the behavior as (x, y) approaches (0,0). Since the denominator 3x² + y² becomes zero as (x, y) approaches (0,0), we cannot directly evaluate the function at this point. However, by considering the parabola z = -y², we can observe that the function does not approach a specific value and thus does not have a limit at (0,0).

(b) The function f2(x, y) = Vel + Vsin(y) is not well-defined as no information or context is provided for the variables Vel, V, and U. Without this information, it is not possible to determine the limit of the function at (0,0) or any other point.

Therefore, for (a), the function f(x, y) does not have a limit at (0,0), and for (b), no information is given to determine the limit for f2(x, y).

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The equation of the circle can be determined as follow:

If you have the center in the point (0,0)

and r = 12

You use the next formula:

Where

the d is equal to the r

x1 and y1= (0,0) (the center point)

x2 and y2 = (x,y)

Then we have:

Answer:

2,100

Step-by-step explanation:

You would have to multiply 20 by 7 by 15 to find the area of the box. So when you multiply all those together you get 2,100.

Step-by-step explanation:

We can simplify each equation to determine which one is true:

61 x 5 = 305

10381 x 27 = 279,387

1143 ÷ 9854 x 63 = 0.00736 x 63 = 0.46368

562 x 42 = 23,604

Therefore, the only equation that is true is 562 x 42 = 23,604.

Answer:

b

Step-by-step explanation:

Answer:

B. dependable

Step-by-step explanation:

well good luck

There is a 50% chance that the person selected is female.

Let's assume that there are 50 students in the class and of them, 25 are female and 25 are male.

The probability that the person selected is female will be calculated by the formula P(Female) = 25/50 = 0.5

Therefore, the probability that the person selected is female is 0.5 or 50%. This means that if a person is randomly selected from the front, middle portion of the class, there is a 50% chance that the person selected is female.

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Complete question:

What is the gender ratio of the people in the class?

Given the state-space model with acceleration being the control input,Let x [t + 1] 1 δ x [t] 0 = + u[t]. v [t + 1] 0 1 v [t] δWhere x[t] = vt is the reference trajectory to track.

The reference trajectory to track is x[t] = vt.The position and speed errors being the state can be found using the following steps. State-space model of the system: {x[t+1]=x[t] + δv[t]v[t+1]=v[t] + δu[t]}Let the position and speed errors be e1[t] = x[t] - v*tand e2[t] = v[t] - v.

From the above state-space model:{x[t+1] = v*t + e1[t] + δv[t]v[t+1] = v + e2[t] + δu[t]}Differentiate e1[t] and e2[t] with respect to time t: {e1[t + 1] = e1[t] + δe2[t + 1] = e2[t] + δNow, we can write the state-space model with errors in state:{e1[t + 1] e2[t + 1] = 1 δ 0 1 e1[t] e2[t] + 0 δ 1 0 δ u[t].

Now, a linear controller that stabilizes the system can be found as below:Let A = [1 δ; 0 1] and B = [0; δ].Let the state-feedback control law be given by u[t] = -K[e1[t]; e2[t]] such that the eigenvalues of the closed-loop system are negative. Therefore,K can be found using the following formulae:

K = (B'PB + R)^{-1}(B'PA)

where,P is a positive definite solution of the algebraic Riccati equationA'PA - P + Q - A'PB(B'PB + R)^{-1}B'PA = 0andR and Q are positive definite matrices.The destabilizing controller can be found by using K = [0 1].Then, the closed-loop system becomes{x[t+1] = (1- δ^2) x[t] + δv[t]v[t+1] = (1- δ^2) v[t] + δu[t]}.

In order to stabilize the system, a linear controller has been found using the reformulated model. The destabilizing controller can also be found.  Thus, this is how the state-space model can be reformulated and linear controllers can be found to stabilize or destabilize the system.

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In covered interest arbitrage opportunities, the term "covered" means the transaction is hedged against exchange rate risk. By hedging their transactions, investors protect themselves from potential losses.

Covered interest arbitrage is a financial strategy where investors exploit the interest rate differentials between two global cities while hedging against exchange rate fluctuations.

By borrowing in one currency, converting it into another currency at the spot exchange rate, investing in a foreign market with higher interest rates, and simultaneously entering into a forward contract to sell the foreign currency and convert it back to the original currency at a future date, investors eliminate the risk of exchange rate fluctuations.

Covered interest arbitrage allows investors to take advantage of interest rate differentials while minimizing exchange rate risk. By hedging their transactions, investors protect themselves from potential losses due to currency fluctuations, making the strategy more secure and attractive.

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Answer:

  a.  0

Step-by-step explanation:

You want the limit of (k(x) -h(x))/k(x) as x approaches 0 when k(x) = sin(x)/x {x≠0} and h(x)=x+1 {x<1}.

Since we're concerned about the limit as x → 0, we don't have to be concerned with the fact that the expression is undefined at x = 0.

The function h(x) is defined as h(0) = 1, so we can just be concerned with the value of ...

  lim[x→0] (k(x) -1)/k(x)

The limit of k(x) as x → 0 is 1, so this becomes ...

  lim[x→0] (k(x) -1)/k(x) = (1 -1)/1 = 0

At x=0, sin(x)/x is the indeterminate form 0/0, so its limit there can be found using L'Hôpital's rule. Differentiating numerator and denominator, we have ...

  lim[x→0] sin(x)/x = lim[x→0] cos(x)/1 = cos(0) = 1

The fact that k(0) = 0 is irrelevant with respect to this limit.

__

Additional comment

We like to use a graphing calculator to validate limit values. The attachment shows the various functions involved. It also shows that as x gets arbitrarily close to 0 from either direction, the value of g(x) does likewise. This is all that is required for (0, 0) to be declared the limit. The lack of definition of g(x) at x=0 simply means the relation has a (removable) discontinuity there.

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Charlotte can obtain that which website generated more revenue by (A) revenue divided by the number of posts.

Revenue is the total amount generated without the expenses to run a business.

From the given data we can conclude that content is what the website posted.

∴ To obtain which website generated more revenue per amount of content we have to divide revenue by the number of posts.

Website A posted 110 contents and generated $30,000,

∴ Revenue per content is,

= (30000/110) dollars.

= 272.72 dollars.

Website B posted 200 contents and genarated $75,000 dollars.

∴ Revenue per content is,

= (75000/200) dollars.

= 375 dollars.

So, Website B generated more revenue per content.

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The inequality that can be used to find the numbers of players the coach may chose if the coach already has 13 players is x ≤ 9.

An inequality is a mathematical statement that compares the value of two expressions using one of the following symbols: < (less than), > (greater than), ≤ (less than or equal to), ≥ (greater than or equal to), ≠ (not equal to).

Inequalities are used to express relationships between numbers and can be used to describe constraints or limitations in real-world problems. They can also be used to define regions or sets of values that satisfy certain conditions. Inequalities can be solved by manipulating the expressions and isolating the variable on one side of the inequality symbol. The solution of an inequality is a set of values that make the inequality statement true.

Let x be the number of additional players the coach may choose.

We can write the inequality as:

13 + x ≤ 22

Subtract 13 from both sides:

x ≤ 22 - 13

x ≤ 9

Hence, the coach may choose between 0 and 9 additional players.

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Answer:

(2x^2+6x+3)(2x+4)

Step-by-step explanation:

Answer: 320 miles

Step-by-step explanation:

Let the miles that they drove be represented by x.

Since Sarah drove two-fifths of the miles which is 128 miles, then the total miles would be:

= 2/5 × x = 128

0.4 × x = 128

0.4x = 128

x = 128/0.4

x = 320

The total miles is 320 miles.