5x+-7(x-2) help me ty

Since half of the diagonal of the square is 10, that means the whole diagonal is 20.

Area of the square = \(\frac{1}{2} *(20)^{2} =200\)

Thus the area is 200. Hope that helps!

Solution:

Given:

To find the diagonal, multiply half the diagonal by 2.

We also know that the sides of the square are equal. Let's use Pythagoras theorem to solve for the side length (c).

Square the side length to obtain the area of the square.

The area of the square is 200 units²

By answering the presented question, we may conclude that As a result, exponential about 739 banana plants in the plantation will be affected with the blight after 9 years.

The word "exponential growth" refers to the process of increasing quantity through time. When the instantaneous rate of change of a quantity with respect to time is proportional to the quantity, this is said to be proportional to the quantity. Exponential growth is a statistical pattern in which bigger gains are seen with time. Compound interest delivers exponential rewards in the world of finance. Savings accounts with compound interest can occasionally experience exponential growth. characterised by a rapid increase in the exponential growth rate (in size or extent). exponentially. The exponential function formula is f(x)=abx, where a and b are positive real values. Draw exponential functions for various values of a and b using the tools provided below.

To tackle this problem, we may apply the exponential growth formula:

\(N = N0 * (1 + r)^t\)

Where N0 is the initial number of infected plants (476)

r = rate of increase (5% = 0.05)

t = time span (9 years)

When we plug in the values, we get:

\(N = 476 * (1 + 0.05)^9 \sN = 476 * 1.55128 \sN = 738.94\)

When we round to the next full number, we get:

N ≈ 739

As a result, about 739 banana plants in the plantation will be affected with the blight after 9 years.

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Answer:

(1)

Step-by-step explanation:

x - 2 = - 5             Add 1 to each side

x = - 5 + 2

x = - 3

Now go to the next part

(x - 2)^2

(-3 - 2)^2

(- 5)^2

Now it's a good idea at this point to separate the squared. It means that two numbers that are the same are to be multiplied together.

(-5)(-5)  Two minuses are going to give you a plus.

5 * 5 = 25

(-5) * (-5) also give you 25

The answer is (1)

Answer:

C

Step-by-step explanation:

Because you times 5 by 2 to get 10 as the answer.

Answer:

the slope is -3

Step-by-step explanation:

The solution to the given system of equations is the point (1, 5).

Here we have the system of equations:

g(x) = 3x + 2

f(x) = |x - 4| + 2

To solve this, first you can see where the graphs intercept on the graph (the intercept point is the solution to the system)

But we can also solve it analytically. To do it, we have:

g(x) = f(x)

3x + 2 =  |x - 4| + 2

3x =  |x - 4|

Notice that the only solution of the above equation is x = 1, so we know that it is the x-value of the solution.

To get the y-value, we just evaluate one of the two given functions on x = 1.

f(1) = |1 - 4| + 2= 3 + 2 = 5

Then the solution to the system is the point (1, 5).

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Answer:

1. 1114/117        2. 212/123       3. -256/29       4. -27/79

Step-by-step explanation:

1. 1114/117

2. 212/123

3. -256/29

4. -27/79

Answer:

x= 131

y = 49

Step-by-step explanation:

X and 49 form a straight line so they add to 180

x+49 = 180

x = 180-49

x =131

49 and y are alternate interior angles and alternate interior angles have the same value

y = 49

Step-by-step explanation:

please mark me as brainlest

The estimated probability that the sample mean of 17 trials exceeds 8 is 0.5724.

(a) The sample mean of an iid sequence of exponential random variables with expected value μ is itself an exponential random variable with expected value μ/n. Therefore, the variance of the sample mean based on n trials is given by:

Var(sample mean) = Var(X1 + X2 + ... + Xn) / n^2

Since X1, X2, ..., Xn are iid exponential random variables with expected value 9, their variance is equal to the square of the expected value, i.e., Var(Xi) = 81 for i = 1, 2, ..., n. Thus, we have:

Var(sample mean) = Var(X1 + X2 + ... + Xn) / n^2

= (Var(X1) + Var(X2) + ... + Var(Xn)) / n^2

= (81 + 81 + ... + 81) / n^2

= 81/n

Therefore, the variance of the sample mean based on 17 trials is Var(sample mean) = 81/17.

(b) The probability that the first trial exceeds 8 is given by the cumulative distribution function (CDF) of an exponential random variable with expected value 9 evaluated at x = 8, i.e.,

P(X1 > 8) = e^(-8/9)

(c) By the central limit theorem, the sample mean of n iid exponential random variables with expected value μ and variance σ^2 is approximately normally distributed with mean μ and variance σ^2/n when n is large.

Since X1, X2, ..., Xn are iid exponential random variables with expected value 9 and variance 81, the sample mean of 17 trials is approximately normally distributed with mean 9 and variance 81/17.

Thus, we have:

P(sample mean > 8) = P((sample mean - 9) / sqrt(81/17) > (8 - 9) / sqrt(81/17))

= P(Z > -0.1796)

where Z is a standard normal random variable. Using a standard normal table or calculator, we can find that P(Z > -0.1796) = 0.5724 (approximately).

Therefore, the estimated probability that the sample mean of 17 trials exceeds 8 is 0.5724.

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Answer:

the correct answer is B

Answer:

The correct option is a) 3n - 4 = 15

Step-by-step explanation:

The product of 3 and a number means 3 multiplied by a number (n)

So it'll be 3*n or simply 3n

Now, it says 4 less than the product

So 4 less than 3n

That is equal to 3n minus 4 or 3n -4

So we come to the conclusion that

3n - 4 = 15

Hope this helps!

The probability that an outcome of 5 appears before an outcome of 7 is 1.

The probability of getting a 5 or a 7 in one roll of two fair dice is 6/36 = 1/6. The probability of getting a 5 before a 7 is equal to the sum of the infinite geometric series with the first term being 1/6 and common ratio 5/6:

1/6 + (5/6) * (1/6) + (5/6)² * (1/6) + ... = 1/6 / (1 - (5/6)) = 1/6 / (1/6) = 1.

So, the answer is 1.

The method used here is called the Geometric Series formula. It is used to calculate the sum of an infinite geometric series, which is a sequence of numbers where each term is obtained by multiplying the previous term by a fixed constant called the common ratio. The formula for the sum of an infinite geometric series is:

S = a / (1 - r), where S is the sum, a is the first term, and r is the common ratio.

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The inverse Laplace transform of F(s) is given by f(t) = [2/3 + (4/15)e^t - (2/5)e^6t]u(t).

Given, F(s) = (6s^2 - 13s + 2)/(s(s-1)(s-6))

We need to find f(t) = L^-1{F(s)}

To find f(t), we first need to express F(s) in partial fractions as:

F(s) = A/s + B/(s-1) + C/(s-6)

Multiplying both sides by the denominator (s(s-1)(s-6)), we get:

6s^2 - 13s + 2 = A(s-1)(s-6) + B(s)(s-6) + C(s)(s-1)

Substituting s = 0, 1, 6, we get:

A = -2/5, B = 2/3, C = 4/15

Therefore, F(s) = -2/(5s) + 2/(3(s-1)) + 4/(15(s-6))

Using the table of Laplace transforms, we get:

L^-1{-2/(5s)} = - (2/5)u(t)

L^-1{2/(3(s-1))} = (2/3)e^t u(t)

L^-1{4/(15(s-6))} = (4/15)e^(6t) u(t)

Hence, the inverse Laplace transform of  Function F(s) is given by:

f(t) = L^-1{F(s)} = [2/3 + (4/15)e^t - (2/5)e^6t]u(t)

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the inverse Laplace transform of F(s) is F(t) = (1/3) + (6/3)e^t + (11/3)e^6t

To determine the inverse Laplace transform of the function F(s) = (6s^2 - 13s + 2) / (s(s - 1)(s - 6)), we need to decompose the function into partial fractions and then use the table of Laplace transforms to find the inverse transform.

First, we decompose F(s) into partial fractions:

F(s) = A/s + B/(s - 1) + C/(s - 6)

To find the values of A, B, and C, we can multiply both sides by the denominator and equate the coefficients of like powers of s:

6s^2 - 13s + 2 = A(s - 1)(s - 6) + B(s)(s - 6) + C(s)(s - 1)

Expanding and collecting like terms:

6s^2 - 13s + 2 = (A + B + C)s^2 - (7A + 7B + C)s + 6A

Equating coefficients:

A + B + C = 6

-7A - 7B - C = -13

6A = 2

From the third equation, we find A = 1/3. Substituting this value into the first equation, we get B + C = 17/3. Substituting A = 1/3 and B + C = 17/3 into the second equation, we find C = 11/3 and B = 6/3.

So, we have:

F(s) = 1/3s + 6/3/(s - 1) + 11/3/(s - 6)

Now, we can find the inverse Laplace transform of each term using the table of Laplace transforms:

Inverse Laplace transform of 1/3s: (1/3)

Inverse Laplace transform of 6/3/(s - 1): (6/3)e^t

Inverse Laplace transform of 11/3/(s - 6): (11/3)e^6t

Putting it all together, the inverse Laplace transform of F(s) is:

F(t) = (1/3) + (6/3)e^t + (11/3)e^6t

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The actual weight is 0.0042 pounds lighter than the labeled weight.

The actual weight of the chocolates is 0.3798 pounds, while the label on the bag states it should weigh 0.384 pounds. To determine how much lighter the actual weight is, we can calculate the difference between the two weights.

Subtracting the actual weight from the labeled weight, we get:

0.384 pounds - 0.3798 pounds = 0.0042 pounds.

Therefore, the actual weight is 0.0042 pounds lighter than the labeled weight.

It's important to note that this difference may seem small, but it can be significant depending on the context. Accuracy in labeling is crucial for various reasons, such as complying with regulations, providing precise information to consumers, and ensuring fair trade practices. Even minor discrepancies can impact trust and customer satisfaction.

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The given pair of events are independent when your first coin flip results in heads. and your second coin flip results in heads.

Events that occur independently of any other events are referred to as independent events. if we flip a coin in the air and get the head, we will then flip the coin again, but this time we will get the tail. The occurrence of both events is unrelated in either instance. Tossing the coin the first time does not affect the outcome of the second toss.

Note that the events are not mutually exclusive as it is possible that both the first and the second toss are headed.

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Answer:

1. 10d + 5n = 85

2.  idk how to attach stuff

3. 17 nickels  

4. 8.5 thats weird tho since its not possible to get 85 with using only dimes you would have to use 8 dimes and 1 nickel but its doesn't ask for that so 8.5 ig

Step-by-step explanation:

5n = 85

5*17 = 85

10d = 85

10*8.5 = 85

To answer this question, we need to remember that if we have the function f(x), the function -f(x) is the reflection of the function f(x) in the x-axis.

Then, the graph of the function g(x) is the same as g(x) = -f(x). Then, we have that:

Then

We can check this graphically as follows (the red graph is the function f(x) = 4|x| and the blue function is g(x) = -4|x|):

Therefore, g(x) = -4|x| is the reflection of the function f(x) = 4|x| over the x-axis.

In summary, the equation that describes g(x) is:

(First option).

Answer:

4

Step-by-step explanation:

lol ur kidding . of not u should work really hard :)

Therefore , the solution of the given problem of unitary method comes out to be  $1,320, $3,960, and $5,280, respectively.

After determining the dimensions of one tiny slice, multiply the sum by two to complete a work using unitary procedure. The unit variable methodology, which just requires an expression, can be used to equation a coded unit from a certain group or set of groups. 40 pens, for example, might cost Rs. 4,000, which would be equal to $1.01 and 4000 pounds. It's possible that one country will have total control over the method employed to do this. Virtually every living creature has a distinctive quality.

Here,

In 2016, the prices for 1, 3, or 4 gold ounces were $1,320, $3,960, and $5,280, respectively.

In 2016, 2 gold ounces would cost $2,640.

1 ounce of gold costing $2 in 2016 is equal to $2 divided by 2 ounces of gold. in 2016.

= $2,640 ÷ 2

= $1,320

The price of 3 grams of gold for 2016 equals the price of One ounce of gold. multiplied by 3.

= $1,320 × 3

= $3,960

cost of one ounce of gold. in 2016 multiplied by 4 to get the price of 4 ounces of gold. in 2016.

= $1320 × 4

= $5,280

The price of 1, 3, and 4 gold ounces each in 2016 is therefore $1,320, $3,960, and $5,280, respectively.

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Answer:

The answer is D

Step-by-step explanation:

Don't worry, no links here :)

Answer:

x = 8

Step-by-step explanation:

since the triangles are similar then the ratios of corresponding sides are in proportion , that is

\(\frac{RT}{WU}\) = \(\frac{RS}{WV}\) ( substitute values )

\(\frac{6x+15}{28}\) = \(\frac{108}{48}\) ( cross- multiply )

48(6x + 15) = 28 × 108 = 3024 ( divide both sides by 48 )

6x + 15 = 63 ( subtract 15 from both sides )

6x = 48 ( divide both sides by 6 )

x = 8

Answer:

yes indeed

Step-by-step explanation:

Answer:

42 square units

Step-by-step explanation:

Hello There!

The area of a trapezoid can be found using this formula

\(a = \frac{a + b}{2} h\)

where a and b are bases and h is height

if you look at the graph we can see that the lines are counting by 2 units

knowing this we want to find the dimensions

the shown trapezoid has the following dimensions

a =2*2 or 4

b=5*2 or 10

h=3*2 or 6

having found this information we then plug it into the formula

\(a = \frac{4+ 10}{2} 6 \\ 4 + 10 = 14 \\ \frac{14}{2} = 7 \\ 7 \times 6 = 42\)

so we can conclude that the area of the trapezoid is 42 square units

Answer:

D.

Step-by-step explanation:

The correct answer is D because it is equivalent to the original expression. Instead of distributing the 6 twice, it is placed in parenthesis. The other choices are wrong, I tried them, did not yield the same answer.

Answer:

0

Step-by-step explanation:

its a negative rational number

a) (0; -15)

you just let x be equal to 0.

b) ( -5; 0) and (3;0)

you just let y/ f(x) equal to 0.

c)

Answer:

14.85

Step-by-step explanation:

P₁V₁ = P₂V₂

13 x 8 = P₂ x 7

P₂ = (13 x 8)/7

  = 104/7

P₂ = 14.85 atm

Answer:

X=3

Step-by-step explanation:

12x-31=5

12x - 31 - 31 = 5 + 31

12x = 26

12x / 12 = 26 / 12

x = 3

To solve the equation you take 31 to the right by subtracting it from the left then adding it to the right.

From there you divide each side by 12

HOPE IT HELPED

Answer:

x = -0.01685

(Is the equation written correctly?  This feels like a very unfortunate number)

Step-by-step explanation:

(2x+5/60-95x-3/30=3/2

2x+(5/60)-95x-(3/30)=3/2

2*(2x+(5/60)-95x-(3/30))=3     [Multiply both sides by 2]

4x+(10/60)-190x-(6/30))=3      

(2/30)-186x-(6/30))=3              [Simplify]

-186x-(4/30)=3

-186x=3+(4/30)

-186x=(90/30)+(4/30)

x = (94/30)/(-186)

x = -0.01685