Find the distance between -12 and 25

Step-by-step explanation:

Let their age be x,x+1,x+2.

Now,

x+x+1+x+2= 78

or, 3x = 78 -3

or, x = 75/3

so, x = 25

So, Madison's age is 25 years old.

Answer:

The age of Madison such that the sum of all three siblings' consecutive age is 78 will be 25 years old.

Step-by-step explanation:

Determine the known quantities and designate the unknown quantity as a variable while trying to set up or construct a linear equation to fit a real-world application.

suppose Madison's age = x

Second older sister will have age = x + 1

Third older sister will have age = x + 2

Sum, (x) + (x + 1) + (x + 2) = 78

3x + 3 = 78

3x = 75

x = 25

Madison such that the sum of all three siblings' consecutive age is 78 will be 25 years old".

Answer:

Keynes argued that inadequate overall demand could lead to prolonged periods of high unemployment. But during a recession, strong forces often dampen demand as spending goes down

Step-by-step explanation:

Answer:

  g = 108°

Step-by-step explanation:

You want angle (g) of the isosceles triangle with base exterior angle 144°.

Let b represent the measure of a base angle of the triangle.

  b + 144° = 180° . . . the interior angle and exterior angle are supplementary

  2b +g = 180° . . . . . the interior angles of a triangle total 180°

Using the first equation to substitute for b in the second equation, we have ...

  2(180° -144°) +g = 180°

Subtracting the left-side constant gives ...

  g = 2(144°) -180° = 288° -180°

  g = 108°

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Answer:

04.08 Polynomial Identities and Proofs

The Demonstration

Step-by-step explanation:

Answer:

\(\frac{3}{2}\)

Step-by-step explanation:

To find the slope, we use the formula:

M = \(\frac{y2 - y1}{x2-x1}\)

So, plug in our numbers. For reference:

-2 = x1       2 = y1

0 = x2       5 = y2

2 = x3       8 = y3

After plugging in:

\(M = \frac{5 - 2}{0 - - 2} = \frac{3}{2}\)

Thus, your slope is \(\frac{3}{2}\).

Answer: 7.44

Step-by-step explanation: DeltaMath

Answer:

4 2/3 + 1 3/4 = 6 5/12

The statement "P implies Q" is false under the following conditions: a) P is true and Q is false, and d) P is false and Q is true.

The statement "P implies Q" can be expressed as "if P, then Q." It is a conditional statement where P is the antecedent (the condition) and Q is the consequent (the result).

To determine when the statement is false, we need to identify cases where P is true but Q is false, or when P is false but Q is true.

Option a) states that both P and Q are true. In this case, the statement "P implies Q" holds true because if P is true, then Q is true.

Option b) states that both P and Q are false. In this case, the statement "P implies Q" is considered true because the antecedent (P) is false.

Option c) states that P is true and Q is false. Under this condition, the statement "P implies Q" is false because when P is true, but Q is false, the implication does not hold.

Option d) states that P is false and Q is true. In this case, the statement "P implies Q" is true because the antecedent (P) is false.

Therefore, the conditions under which the statement "P implies Q" is false are a) P is true and Q is false, and d) P is false and Q is true.

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Answer:

No solution.

Step-by-step explanation:

Answer:

It affects it by profit for 100 downloads is for $90 greater.

Step-by-step explanation:

Profit - 90% * revenue - 50

p(x) - 0.9 * f(x) - 50

=0.9 * 3x - 50

=2.7x - 50

Now find the profit for 100 downloads: p(100) = 2.7 * 100 - 50 =220

220 - 130 = 90

Answer:

the answer is c JUST guessing it might not be correct

Answer:

4 is the answer to the 1st question

Hi 

yes. It's a proportional situation.

proportionnal situation is modelize by f(x) = a(x).

Which fix coefficient, which is here is 126 and X is the number of years.

Answer:

LM=JM

Step-by-step explanation:

Answer:

Story Pole

Step-by-step explanation:

Source : Trust me bro

Answer:

The answer is "Rs. 17,640"

Step-by-step explanation:

Per hour income= Rs. 70

Daily working hours =8 hours

Work in week days= 6 day

over-time rate= 1.5 of Rs. 70 Per hour

over-time hours= 40 hours

monthly salary=?

\(\text{calculating one-day salary= per hour income} \times \text{Daily working hours}\)

                                        \(=70 \times 8\\\\=560\)

So, one day salary is= Rs. 560

\(\text{Calculating one-week salary= work in week days} \times \text{one day salary}\)

                                           \(=6 \times 560\\\\= 3,360\)

So, one-week salary is= Rs. 3,360

In the month there are 4 weeks so,

\(=\text{one week slaray} \times 4\\\\=3,360 \times 4\\\\=13,440\)

Calculating over-time salary:

\(\text{One hour over-time salary= 1.5 of Rs. 70 Per hour}\\\\\)

                                         \(=1.5 \times 70\\\\=105.0\\\\= Rs . \ 105\)

Total over-time=40 hours so, over-time salary \(= 40 \times 105\)

                                                                             \(=4200\\\\=Rs . \ 4,200\)

\(\text{Monthly salary= month salary+over-time salary}\)

                       \(=13,440+4,200\\\\=17,640\)

False. Randomization distributions are centered at the value where the null is false. This distinction is important in hypothesis testing as it helps determine the statistical significance of observed differences or effects.

Randomization distributions are generated through permutation tests, which involve random shuffling of data points between groups. In hypothesis testing, the null hypothesis assumes that there is no difference between groups or no effect of a treatment. The alternative hypothesis suggests otherwise.

The randomization distribution is created by repeatedly shuffling the data and calculating a test statistic based on the null hypothesis. This distribution represents the expected outcomes if the null hypothesis is true. Therefore, the randomization distributions are centered at the value where the null is false, as they capture the potential differences or effects between groups.

In summary, randomization distributions are not centered at the value where the null is true; rather, they are centered at the value where the null is false. This distinction is important in hypothesis testing as it helps determine the statistical significance of observed differences or effects.

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Answer:

C

Step-by-step explanation:

The answer is C if you multiply (a)38×18=684

(b)46×16=736 (c)54×14=756 the question is 766 miles meaning that c is the wrong answer .i hope this was helpful.

Answer:150

Step-by-step explanation:

So every year the interest will be $1000 * 5 / 100 = $50. That is, after 3 years 3 * $50 = $ 150. Simple interest does not take into account the reduction of the principal but calculates the interest over the same initial amount, in this case $1000. So, the answer is $150, which is the result of $50 times 3.

Hope this helps you

.......

The calculated value of the inverse relation f¹(-3) is 11.5

From the question, we have the following parameters that can be used in our computation:

f(x) = (x + 4)/(x + 9)

The expression f¹(-3) implies that f(x) = 3

So, we have

(x + 4)/(x + 9) = 3

Cross multiply the equation

x + 4 = 3x + 27

Evaluate the like terms

2x = 23

Divide both sides by 2

x = 11.5

Hence, the value of the inverse relation is 11.5

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Answer:

Sure thing w(x+1)= wx+2

Step-by-step explanation: You use distributive property. Hope this Helps!

Answer:

8.21 months.

Step-by-step explanation:

The growth rate of hair, R = 15 cm/year

As 1 year = 12 months,

\(\Rightarrow R=\frac{15}{12}\) cm/month

As 1 cm ≈ 0.39 in.,

\(\Rightarrow R= \frac{15}{12}\times 0.39=0.4875\) inch/month.

As she wants to grow it 4 inches longer than it now, So, the time required for 4 inches growth = 4/0.4875=8.21 months.

Hence, she needs to wait for 8.21 months.

Euclid receives 20 shares of common stock as a nontaxable stock dividend.The basis of the common stock remains the same as in scenario a, which is $96.15 per share.

To calculate the per share basis, we divide the original purchase cost by the total number of shares (including the dividend shares).  In scenario b, Euclid receives a nontaxable preferred stock dividend of 20 shares. The preferred stock has a fair market value of $5,000, and the common stock, on which the preferred is distributed, has a fair market value of $75,000.

The tax consequences involve determining the new basis of the preferred stock and the common stock after the dividend. a. To find the per share basis of Euclid's common stock after receiving the stock dividend, we divide the original purchase cost by the total number of shares. The original purchase cost was $50,000 for 500 shares, which means the per share basis was $50,000/500 = $100. After receiving 20 additional shares as a dividend, the total number of shares becomes 500 + 20 = 520.

Therefore, the new per share basis is $50,000/520 = $96.15. b. In this scenario, Euclid receives a preferred stock dividend of 20 shares. The preferred stock has a fair market value of $5,000, and the common stock has a fair market value of $75,000. To determine the new basis of the preferred stock, we consider its fair market value.

Since the preferred stock dividend is nontaxable, its basis is equal to the fair market value, which is $5,000.

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The domain of a function is defined as the set of input values a function can take.

In the case of our function, the domain is all the values contained in the ellipse on the left.

These values are

which is our domain. The answer we got matches choice B; therefore, choice B is the correct answer.

If we have coins = [1, 2, 5] and amount = 5, then the function should return 4, because there are four combinations of coins that make up an amount of 5: [1, 1, 1, 1, 1], [1, 1, 1, 2], [1, 2, 2], and [5].

This problem can be solved using dynamic programming. Let's define dp[i][j] as the number of combinations of coins using the first i coins to make up an amount j. Then we can use the following recurrence relation:

dp[i][j] = dp[i-1][j] + dp[i][j-coins[i]]

The first term on the right-hand side of the equation corresponds to the case where we don't use the i-th coin, while the second term corresponds to the case where we use the i-th coin at least once. Note that we only need to consider cases where j >= coins[i], because it's impossible to make up an amount less than the value of the i-th coin using that coin.

We can initialize dp[0][0] = 1, because there is exactly one way to make up an amount of zero using no coins. Finally, the answer to the problem is dp[n][amount], where n is the total number of coins.

Here's the Python code:

def change(amount, coins):

   n = len(coins)

   dp = [[0] * (amount+1) for _ in range(n+1)]

   dp[0][0] = 1

   for i in range(1, n+1):

       dp[i][0] = 1

       for j in range(1, amount+1):

           dp[i][j] = dp[i-1][j]

           if j >= coins[i-1]:

               dp[i][j] += dp[i][j-coins[i-1]]

   return dp[n][amount]

For example, if we have coins = [1, 2, 5] and amount = 5, then the function should return 4, because there are four combinations of coins that make up an amount of 5: [1, 1, 1, 1, 1], [1, 1, 1, 2], [1, 2, 2], and [5].

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Given,Three possible risk scenarios X, Y and Z. The initial assessment found that X is twice as likely as Z and Y is three times as likely as Z.

Probability of X is p(X) = 2p(Z)
Probability of Y is p(Y) = 3p(Z)
Probability of Z is p(Z)Let the probability of Z be p. So, the probability of X and Y can be written as:
p(X) = 2p(Z)p(Y) = 3p(Z). And, Total probability, p(X) + p(Y) + p(Z) = 1. Given that, p(X) + p(Y) + p(Z) = 12p(Z) + 3p(Z) + p(Z) = 1(6p(Z) = 1)p(Z) = 1/6. Therefore, p(X) = 2p(Z) = 2(1/6) = 1/3p(Y) = 3p(Z) = 3(1/6) = 1/2. Hence, the probability of X, Y, and Z are p(X) = 1/3, p(Y) = 1/2, and p(Z) = 1/6 respectively.

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250 students

Hi there !

40% ................ 100 students

100% ................... x students

x = 100×100/40 = 10000/40 = 250 students

Good luck !