Solve Jill's equation 30 + 6x = 20 + 8x What does the solution tell us about the T-shirt offers?​

The correct answer is B. y = e4x is a solution of y' = -(1/4)y2 that is not a member of the family in part (b).

An equation is a mathematical statement that contains an equal sign. A solution is a value or set of values that make the equation true. A member refers to a specific solution within a family of solutions.

In this question, we are given a differential equation y' = -(1/4)y and asked to find a solution that is not a member of a given family of solutions. The family of solutions is not provided in the question, but it is implied that it is a set of solutions that have the form y = Ce^(-x/4), where C is a constant.

To find a solution that is not a member of this family, we need to find a different function that satisfies the differential equation y' = -(1/4)y. Option B, y = e4x, is such a function. We can verify that it is a solution by taking its derivative and plugging it into the differential equation:

y = e4x
y' = 4e4x

y' = -(1/4)y
4e4x = -(1/4)e4x

This equation is true, so y = e4x is indeed a solution of y' = -(1/4)y that is not a member of the given family.

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Answer:

21

Step-by-step explanation:

Answer:

The correct answer is 21 out of 140 students

Step-by-step explanation:

Hope this helped :3

Answer:

n=10

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

\(\mathrm{a^0=1~if~a \neq 0}\) (Assuming a doesn't equal 0)

\(= 1\)

Answer:

(3,1)

Step-by-step explanation:

You add the x coordinates then divide them by 2

And then add the y coordinates then divide them by 2 also

The probability that more than 72% of the sampled UCF students will vote in the presidential election is approximately 0.0475 or 4.75%.

To calculate the probability that more than 72% of the sampled UCF students will vote in the presidential election, we need to use the normal distribution approximation since the sample size is large.

First, we find the mean (μ) and standard deviation (σ) of the sampling distribution using the given population proportion (p) of 0.70 and the sample size (n) of 1250:

μ = p = 0.70

σ = √(p(1-p)/n) = √(0.70 * 0.30 / 1250) ≈ 0.012

Next, we need to standardize the desired proportion of more than 72% (0.72) using the z-score formula:

z = (x - μ) / σ

z = (0.72 - 0.70) / 0.012 ≈ 1.67

Now, we can find the probability using the standard normal distribution table or calculator. The probability that more than 72% of the sampled students will vote in the presidential election is the area under the curve to the right of the z-score of 1.67.

Using the standard normal distribution table or calculator, we find that the probability is approximately 0.0475.

Therefore, the probability that more than 72% of the sampled UCF students will vote in the presidential election is approximately 0.0475 or 4.75%.

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The $2.25 must the theatre charge per ticket in order to maximize their revenue.

For the stated question.

Let the revenue generated be 'R'.

The price of ticket after reduction of $1 = x.

Total tickets  = 100

Using the revenue equation;

Revenue = (Number of ticket)X(price per ticket)

R =  (100 - 10x)(15 + x)

R =  1500 - 10x² -150x + 100x

R =  1500 - 10x² -50x

For the maximum revenue-

x = -b/2a = 50/2(-10)

x = -50/20 = -2.25

Thus, the $2.25 must the theatre charge per ticket in order to maximize their revenue.

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The equilibrium point is (1600, 80) in the form (x, y).

We need to find the point where the demand function D(x) is equal to the supply function S(x).

The functions are given as follows:
D(x) = 3200/√x
S(x) = 2x√

To find the equilibrium point, we need to set D(x) equal to S(x):

3200/√x = 2x√

Now, let's solve for x:

1. Isolate x by multiplying both sides by √x:
3200 = 2x√ * √x

2. Simplify by squaring both sides:
(3200)^2 = (2x√)^2

3. Perform the squaring:
10,240,000 = 4x^2

4. Divide both sides by 4 to isolate x^2:
2,560,000 = x^2

5. Take the square root of both sides:
x = √2,560,000
x = 1600

Now that we have x, we can find the corresponding price y by plugging x into either D(x) or S(x):

y = D(1600) = 3200/√1600
y = 3200/40
y = 80

So, the equilibrium point is (1600, 80) in the form (x, y).

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Answer:

x=27

Step-by-step explanation:

x-11=16

add 11 to both sides

x=27

Answer:

666666912101

Step-by-step explanation:

Add it

Answer:

6.666669121  x 10 to the 11th power

Step-by-step explanation:

The variable expression that represents the sum of six sevenths of a number and three is (6/7)x + 3.

In this expression, "x" represents the unknown number. The term "6/7x" represents six sevenths of the number, indicating that the number is multiplied by six sevenths. The term "3" represents the constant value of three.

When these two terms are added together, we obtain the sum of six sevenths of the number and three. This variable expression allows us to represent mathematically the given phrase and can be used to evaluate or manipulate equations involving the sum of six sevenths of a number and three.


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Juana would have to pay approximately $29.40 in interest for the $10,686.00 loan over a 20-day period, assuming an annual interest rate of 5.79%.

The interest Juana would have to pay in 20 days can be calculated using the formula:

Interest = Principal × Interest Rate × Time

In this case, the principal amount is $10,686.00 and the interest rate is 5.79% per annum. To calculate the interest for 20 days, we need to convert the time to a fraction of a year. Since there are 365 days in a year, the time in years would be 20/365.

Using the formula and substituting the values:

Interest = $10,686.00 × 0.0579 × (20/365)

Calculating this expression, we find that the interest amount Juana would have to pay in 20 days is approximately $29.40.

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Answer:

A

Step-by-step explanation:

hope this helped! please let me know if im wrong

The volume of the prism is

The volume of the prism is solved by the formula

= area of triangle * depth

Area of the triangle

= 1/2 base * height

base = p = cos 51.34 * √41 = 4

height = q = sin 51.34 * √41 = 5

= 1/2 * 4 * 5

= 10

volume of the prism

= area of triangle * depth

= 10 * 7

= 70 cm³

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Answer:

Step-by-step explanation:

the answer is 6 i hope this help

Answer:

6

Step-by-step explanation:

Answer:

y = - \(\frac{3}{5}\) x + 8

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

here m = - \(\frac{3}{5}\) , then

y = - \(\frac{3}{5}\) x + c ← is the partial equation

to find c substitute (5, 5 ) into the partial equation

5 = - 3 + c ⇒ c = 5 + 3 = 8

y = - \(\frac{3}{5}\) x + 8 ← equation of line

Answer:

\(\begin{array}{ccc}cause&accidents&frequency\\pilot\ error&581&0.253\\human\ error&56&0.024\\weather&579&0.252\\mechanical&555&0.242\\sabotage&526&0.229\end{array}\)

Pilot error, better training of pilots may reduce accidents.

Step-by-step explanation:

The total number of crashes is:

\(n = 581+56+579+555+526\\n=2297\ crashes\)

The relative frequency is given by the number of accidents caused by each factor divided by the total number of accidents. The relative frequency distribution is:

\(\begin{array}{ccc}cause&accidents&frequency\\pilot\ error&581&0.253\\human\ error&56&0.024\\weather&579&0.252\\mechanical&555&0.242\\sabotage&526&0.229\end{array}\)

The most serious threat to aviation​ safety is pilot error, a better training of current and future pilots could be a solution to reduce accidents.

We can conclude that the students did not have any time left to work on homework.

The duration of Mr. K's math class is 1 and 1/4 hours, or 5/4 hours.

We need to determine how much time is left for the kids to do their assignment after working on problems on the board for 55 minutes and 11/12 hours. To achieve this, we must take the time spent solving issues out of the overall class time:

Total class time = 5/4 hours

Time spent on working problems = 55 minutes + 11/12 hours

= (55/60) hours + (11/12) hours

= (11/12 + 55/60) hours

= (11/12 + 11/12) hours

= (22/12) hours

= (11/6) hours

Overall class time minus the amount of time spent solving problems equals the amount of time remaining for homework.

= 5/4 hours - 11/6 hours

= (15/12) hours - (22/12) hours

= (-7/12) hours

We can infer that the kids ran out of time to finish their homework because the response is illogical because we cannot have negative time.

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Answer:

7:50 am in the morning

Step-by-step explanation:

17:50pm = 5:50pm

first simply this by only adding 12 hours

12 hours later- 5:50 am

Then add 2 hours to get the answer

14 hours- 7:50 am in the morning.

( I think)

...

A manufacturer of compact fluorescent light bulbs advertises have a standard deviation of 1,000 hours so the values are:

A normal distribution with,

μ = 9000

σ = 1000

a) The standardized score is the value x decreased by the mean and then divided by the standard deviation.

x = 105000 - 9000 / 1000 ≈ 1.50

Determine the corresponding probability using the normal probability table in appendix,

P(X>10500) = P(Z>1.50) = 1 - P(Z<1.50)

= 1 - 0.9332 = 0.0668.

b) n = 15

The sampling distribution of the mean weight is approximately normal, because the population distribution is approximately normal.

The sampling distribution of the sample mean has mean μ and standard deviation σ/√n

μ = 1000/√15 = 258.19

c) The sampling distribution of the sample mean has mean μ and standard deviation σ/√n

The z-value is the sample mean decreased by the population mean, divided by the standard deviation:

z = x-u/σ/√n = 10500-9000/1000√15 = 5.81

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Answer:

4

Step-by-step explanation:

8x + 15 = 5.5x +25

so 2.5x =10

x=4

10% had both an internship and a summer class, events "friend had an internship" and "friend took a summer class" are dependent, and 60% did none of the three activities using percentages.

Let I, C, and R represent the events that a friend had an internship, took a summer class, or took a road trip, respectively. We are given:

P(I) = 0.4

P(C) = 0.2

P(R) = 0.5

P(I U C) = 0.5

P(I U R) = 0.7

P(C U R) = 0.6

P(I ∩ C ∩ R) = 0.05

(a) We can use the inclusion-exclusion principle to find the number of friends who had both an internship and a summer class:

P(I ∩ C) = P(I U C) - P(I) - P(C) = 0.5 - 0.4 - 0.2 = 0.1

So, 10% of your friends had both an internship and a summer class.

(b) To check if the events "your friend had an internship" and "your friend took a summer class" are independent, we need to verify if:

P(I ∩ C) = P(I) * P(C)

Using the result from part (a), we have:

P(I ∩ C) = 0.1

P(I) = 0.4

P(C) = 0.2

So, we have:

P(I ∩ C) = 0.1 ≠ 0.08 = P(I) * P(C)

Since the probability of the intersection is not equal to the product of the individual probabilities, the events are dependent.

(c) To find the number of friends who did none of the three activities, we can use the complement rule:

P(not (I U C U R)) = 1 - P(I U C U R)

Using the inclusion-exclusion principle, we have:

P(I U C U R) = P(I) + P(C) + P(R) - P(I ∩ C) - P(I ∩ R) - P(C ∩ R) + P(I ∩ C ∩ R)

= 0.4 + 0.2 + 0.5 - 0.1 - 0.15 - 0.2 + 0.05 = 0.4

So, we have:

P(not (I U C U R)) = 1 - P(I U C U R) = 1 - 0.4 = 0.6

Therefore, 60% of your friends did none of the three activities.

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Answer:

x = 63

Step-by-step explanation:

This is a right angle, and we know that there are 90 total degrees in a right angle. Because of this information, we know that the degrees of both angles, added together, should come out to 90. This reasoning looks like this:

\(25+(x+2)=90\)

Now, it's much easier to solve for x. I'll start by removing the parentheses and combining like terms.

\(25+x+2=90\\25+2+x=90\\27+x=90\)

Now, let's remove 27 both sides to isolate x and figure out what it's equal to.

\(27+x=90\\x = 63\)

So, the measure of x is 63 degrees. We can make sure this is correct by using our equation:

Is \(25+(63+2)=90\)? Yes, because 63 + 2 is equal to 65, and 65 plus 25 is equal to 90. So our answer is correct.

If you need any more help, let me know! :)

Answer:

x = 63°

Step-by-step explanation:

(x + 2) + 25 = 90

x + 2 = 90 - 25

x + 2 = 65

x = 65 - 2

x = 63°

(x + 2) + 25 = 90

(63 + 2) + 25 = 90

65 + 25 = 90

90 = 90

Answer:

1) m<1=42°

2) m<3=42°

3 m<4=138°

Step-by-step explanation:

1) m<1=180-138=42

2) m<3=180-138=42

3 m<4=138  (Alternate Interior Angle Theorem)

Functions (c) L(1) = C1 + AC and (d) L(1) = C°1 are linear operators on R^n, while functions (a), (b), and (e) do not satisfy the properties of linearity and therefore are not linear operators.

a) L(A) = 1 - 1: This function is not a linear operator because it does not preserve scalar multiplication. Multiplying A by a scalar c would yield L(cA) = c - c, which is not equal to cL(A) = c(1 - 1) = 0.

b) L(A) = 1 + 17: Similar to the previous case, this function is not linear since it fails to preserve scalar multiplication. Multiplying A by a scalar c would result in L(cA) = c + 17, which is not equal to cL(A) = c(1 + 17) = c + 17c.

c) L(1) = C1 + AC: This function is a linear operator since it satisfies both the preservation of addition and scalar multiplication properties. Adding matrices A and B and multiplying the result by scalar c will yield L(A + B) = C(1) + AC + C(1) + BC = L(A) + L(B), and L(cA) = C(1) + cAC = cL(A).

d) L(1) = C°1: This function is a linear operator since it satisfies the properties of linearity. Addition and scalar multiplication are preserved, and L(cA) = C(0)1 = c(C(0)1) = cL(A).

e) L(1) = 1?C: This function is not a linear operator as it does not preserve scalar multiplication. Multiplying A by a scalar c would give L(cA) = 1?(cC), which is not equal to cL(A) = c(1?C).

In summary, functions (c) L(1) = C1 + AC and (d) L(1) = C°1 are linear operators on R^n, while functions (a), (b), and (e) do not satisfy the properties of linearity and therefore are not linear operators.

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Answer:

0.083

Step-by-step explanation:

Step-by-step explanation:

.083 repeating

Gary will be able to deduct $1,450 in medical expenses on his 2021 tax return.

Based on the information you provided, we can calculate Gary's deductible medical expenses using the following terms:

1. Qualified medical expenses: $5,200
2. AGI (Adjusted Gross Income): $50,000

According to the IRS, taxpayers can deduct qualified medical expenses that exceed 7.5% of their AGI for the tax year 2021. Here's the step-by-step calculation for Gary's deductible medical expenses:

Step 1: Calculate 7.5% of Gary's AGI
7.5% x $50,000 = $3,750

Step 2: Subtract the 7.5% AGI threshold from Gary's qualified medical expenses
$5,200 - $3,750 = $1,450

Gary will be able to deduct $1,450 in medical expenses on his 2021 tax return.

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Answer:

Length will be 173

Step-by-step explanation:

Answer:

True. Brainlyest plz