Doreen uses 13 apples for every two pies she bakes. How many apples will she use for 12 pies?
13/2 = ?/12

Answer:

No, It is not equal to a 60% discount.

Step-by-step explanation:

Think of this. I go into a store and everything is 50% off and I have a coupon myself that is a 50% off discount for a specific item. It may seem like the item is now free, but it isn't. Imagine the item was $1 before any discount. Then the store took 50% off of the $1, leaving it at $0.50. So now with my discount of 50% off the item I will be taking this 50% off of $0.50 = my final discounted cost of $0.25.

Hope I helped you understand :)

The goalie should be positioned equidistant from the puck and , meaning that the distance between the goalie and each point should be equal. As the puck gets closer to the goal, the distance between and decreases, making it easier for the goalie to defend the goal.


a. If GD and GD' are equal, the goalie has the same distance to travel on each side of D to defend the goal. This allows the goalie to be in the best position to defend the goal from the puck.

b. As the puck gets closer to the goal, the value of GD and GD' decreases because the distance between the puck and the goal is decreasing.

While this means that the goalie has less distance to travel to defend the goal, it also means that the puck is closer to the goal and the goalie has less time to react and defend the goal. This can make it more difficult for the goalie to defend the goal as the puck gets closer.

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The probability of A and B occurring simultaneously (P(A ∩ B)) is c. 0.00.

In this scenario, A and B are stated to be mutually exclusive events. Mutually exclusive events are events that cannot occur at the same time. This means that if event A happens, event B cannot happen, and vice versa.

Given that P(A) = 0.4 and P(B) = 0.5, we can deduce that the probability of A occurring is 0.4 and the probability of B occurring is 0.5. Since A and B are mutually exclusive, their intersection (A ∩ B) would be an empty set, meaning no outcomes can be shared between the two events. Therefore, the probability of A and B occurring simultaneously, P(A ∩ B), would be 0.

To further clarify, let's consider an example: Suppose event A represents flipping a coin and getting heads, and event B represents flipping the same coin and getting tails. Since getting heads and getting tails are mutually exclusive outcomes, the intersection of events A and B would be empty. Therefore, the probability of getting both heads and tails in the same coin flip is 0.

In this case, since events A and B are mutually exclusive, the probability of their intersection, P(A ∩ B), is 0.

Therefore, the correct answer is: c. 0.00

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The balance in the fund at the end of 23 years, with monthly deposits of $1,150 and a 3.25% annual interest rate, is approximately $449,069.51. The amount of interest earned over the period is approximately $420,630.49.

a. The balance in the fund at the end of the 23-year period, considering a monthly deposit of $1,150 and an annual interest rate of 3.25% compounded annually, is approximately $449,069.51.

To calculate the balance, we can use the formula for compound interest:

A = P(1 + r/n)^(nt)

Where A is the accumulated balance, P is the monthly deposit, r is the annual interest rate, n is the number of compounding periods per year, and t is the number of years.

In this case, we have monthly deposits, so we need to convert the annual interest rate to a monthly rate:

Monthly interest rate = (1 + 0.0325)^(1/12) - 1 = 0.002683

Using this monthly interest rate, we can calculate the accumulated balance over the 23-year period:

A = 1150 * [(1 + 0.002683)^(12*23) - 1] / 0.002683 = $449,069.51

Therefore, the balance in the fund at the end of the 23-year period is approximately $449,069.51.

b. The amount of interest earned over the 23-year period can be calculated by subtracting the total deposits from the accumulated balance:

Interest earned = (Monthly deposit * Number of months * Number of years) - Accumulated balance

Interest earned = (1150 * 12 * 23) - 449069.51 = $420,630.49

Therefore, the amount of interest earned over the 23-year period is approximately $420,630.49.

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The value of positive point charge q1 would have to be \(2.65*10^{-8}\) C to make the x-component of the electric force exerted by q1 on q2 equal to 0.289 N.

The electric force between two point charge q1 and q2 is given by Coulomb's law:

F = \(k*q1*q2/r^{2}\)

Where k is the Coulomb constant \((8.99*10^{9}Nm^{2}/C^{2} )\), q1 and q2 are the charges, and r is the distance between the charges. The x-component of the electric force can be found by considering only the x-component of the separation between the charges:

Fx = F * (x2 - x1) / r

Where x1 and x2 are the x-coordinates of the charges, and r is the distance between the charges.

We are given that q2 = 1E-5 C, and we want to find the value of q1 such that Fx = 0.289 N. To do this, we need to find the x-component of the separation between the charges and the distance between the charges.

First, the x-component of the separation between the charges is:

(x2 - x1) = (4.89 - (-4.37)) = 9.26 m

Next, the distance between the charges is given by the Pythagorean theorem:

r = \(\sqrt{(x^{2} -x1)^{2}+(y2-y1)^{2} }\) = \(\sqrt{9.26^{2} + (7.54-(-7.77)^{2} )}\) = 15.15 m

Now we can use the above equations to find the value of q1:

0.289 = \(k*q1*(1E-5)/15.15^{2}\)

q1 = \(0.289/(k * (1E-5)/15.15^{2} )\)

q1 = \(0.289/(8.99*10^{9} * 1E-5/15.15^{2} )\)

q1 = \(0.289/(8.99*10^{9} * 1E-5/227.3 )\)

q1 = \(2.65 * 10^{-8}\) C

So the value of q1 would have to be \(2.65 * 10^{-8}\) C in order to make the x-component of the electric force exerted by q1 on q2 equal to 0.289 N.

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The complete question is:

one point of positive charge Q1 is situated at coordinates (x, y) is (-4. 37, -7. 77) and a second positive point charge q2 =1E-5 Cis located ar coordinate (4.89, 7.54). The coordintes are given in meters. What would the charge q1 have to be in order for the electric force q1 exerted on q2 to have an x-component equal to 0.289 Newtons?

Answer:

21

Step-by-step explanation:

If a line parallel to one side of a triangle intersects the other two sides of the triangle, then the line divides these two sides proportionally.

AD        AH

-----  =  ---------

AB         AH +y

3        9

---- = ------

10         9+y

Using cross products:

3(9+y) = 9*10

27+3y = 90

3y = 90-27

3y =63

y = 63/3

y = 21

Answer:

y = 21

Step-by-step explanation:

According to the Side Splitter Theorem, if a line parallel to one side of a triangle intersects the other two sides, then this line divides those two sides proportionally.

Therefore, according to the Side Splitter Theorem:

\(\boxed{\sf AD : DB = AH : HC}\)

From inspection of the given triangle, the lengths of the line segments are:

To find the value of y, substitute the given line segment lengths into the proportion and solve for y:

\(\begin{aligned}\sf AD : DB &=\sf AH : HC\\\\3:7&=9:y\\\\\dfrac{3}{7}&=\dfrac{9}{y}\\\\3 \cdot y&=9 \cdot 7\\\\3y&=63\\\\\dfrac{3y}{3}&=\dfrac{63}{3}\\\\y&=21\end{aligned}\)

Therefore, the value of y is 21.

To determine if the bolts vary by more than the required variance, we can conduct a hypothesis test. The null hypothesis (H₀) states that the variance of the bolts is equal to or less than the required variance (σ² ≤ 0.025), while the alternative hypothesis (H₁) states that the variance is greater than the required variance (σ² > 0.025).

Next, we need to determine the critical value(s) of the test statistic. Since we are testing for variance, we will use the chi-square distribution. For a one-tailed test with α = 0.01 and 14 degrees of freedom (n-1), the critical value is 27.488.

Now, we can compare the test statistic to the critical value. The test statistic is calculated as (n-1) * s² / σ², where n is the sample size (15), s² is the sample variance (0.1587²), and σ² is the required variance (0.025).

If the test statistic is greater than the critical value, we reject the null hypothesis and conclude that the bolts vary by more than the required variance. Otherwise, we fail to reject the null hypothesis.

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To determine if the bolts vary by more than the required variance, we can conduct a hypothesis test. The null hypothesis (H₀) states that the variance of the bolts is equal to or less than the required variance (σ² ≤ 0.025), while the alternative hypothesis (H₁) states that the variance is greater than the required variance (σ² > 0.025).

Next, we need to determine the critical value(s) of the test statistic. Since we are testing for variance, we will use the chi-square distribution. For a one-tailed test with α = 0.01 and 14 degrees of freedom (n-1), the critical value is 27.488.

Now, we can compare the test statistic to the critical value. The test statistic is calculated as (n-1) * s² / σ², where n is the sample size (15), s² is the sample variance (0.1587²), and σ² is the required variance (0.025).

If the test statistic is greater than the critical value, we reject the null hypothesis and conclude that the bolts vary by more than the required variance. Otherwise, we fail to reject the null hypothesis.

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A scatter plot would be the best type of plot to use to show the relationship between the price of Airbnb rentals and the room type.

A scatter plot shows the relationship between two variables by plotting each data point as a dot on the graph. In this case, the room type would be plotted on one axis and the price on the other axis, allowing you to see the distribution of prices for each room type.

By plotting the data in this way, you can see how one variable is related to another, and identify any patterns or trends in the data. This type of plot is particularly useful for exploring the relationship between two continuous variables.

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The correct question for the answer is

which plot would you use to plot prices of airbnb rentals as function of room type?

a) boxplot

b) scatter plot

c) bar plot

d) histogram

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From the power rules, the matching of  each expression with its result is:

\((8.6*10^7)(9.1*10^{-8})=7.8\)

\((6.9*10^5)(4.8*10^{-3})=3.3*10^3\)

\(\frac{(3.7*10^2)*(4.6*10^{-3})}{(1.4*10^{-6})*(5.7*10^{8})} =2.1*10^{-3}\)

\(\frac{(3.1*10^5)*(5.3*10^{-9})}{(7.3*10^{2})*(6.1*10^{-7})}=3.7\)

There are different power rules, see some them:

1. Multiplication with the same base: you should repeat the base and  add the exponents.

2. Division with the same base: you should repeat the base and  subctract the exponents.

3.Power. For this rule, you should repeat the base and multiply the exponents.

4. Zero Exponent. When you have an exponent equals to zero, the result must be 1.

From this for your question, you have:

\(\frac{(3.7*10^2)*(4.6*10^{-3})}{(1.4*10^{-6})*(5.7*10^{8})} =\frac{(3.7*4.6)*(10^2*10^{-3})}{(1.4*5.7)*(10^{-6}*10^{8})} =\frac{17.02*10^{-1}}{7.98*10^2} =2.13*10^{-3}=2.1*10^{-3}\)

\(\frac{(3.1*10^5)*(5.3*10^{-9})}{(7.3*10^{2})*(6.1*10^{-7})}=\frac{(3.1*5.3)*(10^{5}*10^{-9})}{(7.3*6.1)*(10^{2}*10^{-7})} =\frac{16.43*10^{-4}}{44.53*10^{-5}}=0.36896*10^1=3.7\)

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Serious question or not the answer is zero

Answer:

0

Step-by-step explanation:

One minus one is zero.

Answer:

y = \(\frac{3}{4}x+2\)

Step-by-step explanation:

In the figure attached,

Graph of the line passes through the two points (0, 2) and (4, 5).

Let the equation of this line is y = mx + b

Here m = slope of the line

b = y-intercept

Since slope of the line passing through two points is represented by,

m = \(\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\)

   = \(\frac{(5-2)}{(4-0)}\)

   = \(\frac{3}{4}\)

Y-intercept of the line 'b' = 2 units

Therefore, equation of the line will be,

y = \(\frac{3}{4}x+2\)

Answer:

i believe its B

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

We would need to multiply 45 with 20 to get an answer of 1170, but since we also have a remainder, we add that remainder of 30 to 1170 to get 2000. Hope this helped.

Answer:122 days

Step-by-step explanation:

Answer:

t =28

Step-by-step explanation:

A pentagon is formed with 3 triangles so 3*180 is 540 so the total is 540 degrees.

Now we add all the angles up 96+102+147+139 = 484.

540-484 = 56

2t = 56

t = 28

nice profile pic btw

Answer:

true

Step-by-step explanation:

The triangle shown below may not be congruent true

Answer:

Step-by-step explanation:

Here,

\( \sqrt{8745 \times 8745} \)

= 8745 (Ans)

Answer:

Step-by-step explanation:

MO = MN + NO

      = 16 + 2

     = 18

Answer:

There are no factors of 3 that add up to -15

Step-by-step explanation:

the only factors of 3 is, 1 and 3.

Answer:

j = 0.4

Step-by-step explanation:

hope it helps

To answer this question, you should combine like terms:

Like terms are two or more terms that share the same variable.

J is the variable in this question so add 0.9j to both sides of the equation to get j on one side:

-0.1j + 0.8 = 0.76

Now subtract 0.8 from both sides to isolate j on one side of the equation:

-0.1j = -0.04

Divide both sides by -0.1 to isolate j and your answer should be:

Answer: j = 0.4

Answer:

(2, 34 )

Step-by-step explanation:

Since the points vary inversely then half the x, means double the y, thus

(2, 34) or (1, 68 ) would also belong in this inverse variation

The expected number of failures in 1 year is 8.9948.

The authors calculate a failure rate for PVC pipe of 0.0081 per 100 miles of pipe per day in 2008. Think of a 100-mile section of this pipe.

(I)

Given;

Mean failures per day = 0.0081

So,

Expected number of failures in 1 year = 0.0081 * 365

                                                               = 8.9948

(II)

Poisson Distribution with λ = 8.9948 is given by:

\(P(x) =\frac{e^-^8^.^9^9^4^8 8.9948^0}{x!}\)

             ⇒ for x = 0, 1, 2,. . . .

P(At least 1 failure) = 1- P(X=0);

\(P(x) = \frac{e^-^8^.^9^9^4^8 8.9948^0}{0!} = \frac{0.00012*1}{1}\)

        = 0.00012    

So,

P(At least 1 failure) = 1 - 0.00012 = 0.99988

Hence, the expected number of failures in 1 year is 8.9948.

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Answer:

I am I the state of California

To prove the statement that 3 divides (n³ + 5n + 6) for any integer n ≥ 20 using mathematical induction, we will show that the statement holds for the base case (n = 20) and then assume it holds for an arbitrary value of n and prove it for (n + 1).

Base case (n = 20):

Substitute n = 20 into the expression (n³ + 5n + 6):

(20³ + 5 * 20 + 6) = 9266

Since 9266 is divisible by 3 (9266 = 3 * 3088), the statement holds for the base case.

Inductive step:

Assume that the statement holds for an arbitrary value of n, denoted as k, i.e., 3 divides (k³ + 5k + 6).

Now we need to prove that the statement holds for (k + 1), i.e., 3 divides ((k + 1)³ + 5(k + 1) + 6).

Expand the expression ((k + 1)³ + 5(k + 1) + 6):

(k³ + 3k² + 3k + 1 + 5k + 5 + 6) = (k³ + 5k + 6) + (3k² + 3k + 6)

By the induction hypothesis, we know that (k³ + 5k + 6) is divisible by 3. Now we need to show that (3k² + 3k + 6) is also divisible by 3.

Factoring out 3 from (3k² + 3k + 6), we get: 3(k² + k + 2).

Since k² + k + 2 is an integer, we conclude that (3k² + 3k + 6) is divisible by 3.

Therefore, the statement holds for (k + 1).

By the principle of mathematical induction, we have shown that the statement "3 divides (n³ + 5n + 6)" holds for any integer n ≥ 20.

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Step-by-step explanation:

You can factor out a '10' from each of the terms

10 ( -6 + 6n^2 + 5 n^3 )        

If you meant    - 60 n + 60 n^2 + 50 n^3

   you can factor out a 10 n

     10n ( -6 + 6n + 5n^2)

Answer:

m = 3

Step-by-step explanation:

The answer is on the image.

Hope it helps!

Answer:

y = -4x-34

Step-by-step explanation:

From the line to which the line is parallel, we can get the slope

The general form of a linear model is;

y = mx + b

where m

is the slope and b is the y-intercept

From the question, using the given line,

we have the slope of that line as -4

Now, we want to write the equation of a line that passes through (-7,-6) and has a slope of -4

we can use the point-slope form

for this

That would be;

y-y1 = m(x-x1)

y + 6 = -4(x+ 7)

y + 6 = -4x -28

y = -4x -28-6

y = -4x - 34

Answer:

25%

Step-by-step explanation:

Given that a restaurant meal usually cost Nu 80 but on Thursdays it cost Nu 80.

To determine the discount, we have to find the ratio between the difference between the usual cost and the cost on Thursday to the usual cost of meals. It is given by:

Percent discount = (Usual cost - Cost of meal on Thursday)/ Usual cost × 100%

Percent discount = (80 - 60) / 80 × 100% = 20 / 80 × 100%

Percent discount = 25%