I don’t know the answer to this question please help me!

To find the value(s) of k such that the function is continuous at x = -1, we need to equate the two pieces of the function at x = -1 and ensure that the limit of the function approaches the same value from both sides.

Let's evaluate the function at x = -1:

For x < -1, the function is f(x) = ln(2x + 5), so at x = -1, we have f(-1) = ln(2(-1) + 5) = ln(3).

For x ≥ -1, the function is f(x) = 8x - k, so at x = -1, we have f(-1) = 8(-1) - k = -8 - k.

For the function to be continuous at x = -1, the values of ln(3) and -8 - k should be equal. Therefore, we can set up the equation:

ln(3) = -8 - k.

Solving this equation for k, we have:

k = -8 - ln(3).

Hence, the value of k that makes the function continuous at x = -1 is k = -8 - ln(3).

In summary, the value of k that ensures the function is continuous at x = -1 is k = -8 - ln(3).

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A Cartesian plane is a two-dimensional space formed by the intersection of two perpendicular lines. Each point within the plane represents a unique relationship between the two dimensions.

A Cartesian plane, also known as a coordinate plane or Cartesian coordinate system, consists of two perpendicular lines, typically referred to as the x-axis (horizontal) and y-axis (vertical). The point where these two lines intersect is called the origin, denoted as (0,0).

The Cartesian plane allows us to represent and locate points using ordered pairs (x, y), where x represents the horizontal distance from the origin (along the x-axis) and y represents the vertical distance (along the y-axis).

Each point within the plane corresponds to a specific relationship between the x and y dimensions. For example, the point (2, 3) represents a position that is 2 units to the right of the origin along the x-axis and 3 units above the origin along the y-axis.

By plotting points and connecting them, we can create various shapes and graphs, such as lines, curves, and polygons, on the Cartesian plane. The plane provides a visual representation that helps in understanding and analyzing relationships and patterns between the two dimensions, x and y.

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The two fractions with denominators of 2 and 6 that add up to 19/3 are 3/6 and 29/3, respectively.

First, let's break down what that mixed number means in terms of fractions. 6 1/3 is the same as 19/3.

Now, we need to find two fractions with different denominators that add up to 19/3. One way to do this is to use a common denominator. To find a common denominator, we need to find the least common multiple (LCM) of the two denominators.

Let's say we want to find two fractions that add up to 19/3, with denominators of 2 and 6. The LCM of 2 and 6 is 6. So, we can rewrite the fractions with a denominator of 6:

1/2 = 3/6

x/6

Now we need to find the value of x that makes the sum of the fractions equal to 19/3:

3/6 + x/6 = 19/3

To solve for x, we can multiply both sides by 6:

3 + x = 38/3

Then, we can subtract 3 from both sides:

x = 29/3

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Answer:

Step-by-step explanation:

Given the formula P = c+m which is used to determine price P of an  item that costs c cents and a markup of m cents. To get the value of c, we will make c the subject of the formula;

P = c+m

subtract m from both sides

P-m = c+m-m

P-m = c

c = P-m

Given the price of mark up on a can of juice to be 25 cents, we will substitute m = 25 into the resulting expression as shown;

c = P-25

Hence the equivalent version of this  formula solved for c is c = P-25

Given that sin(x) = -5/13 and the condition is to provide the answer without using sin, cos, or tan, I assume you are looking for the value of cos(x).

We can use the Pythagorean identity: sin²(x) + cos²(x) = 1

Substitute the given value of sin(x):
(-5/13)² + cos²(x) = 1

Solve for cos²(x):
cos²(x) = 1 - (-5/13)²

cos²(x) = 1 - (25/169)

Now find the common denominator (169) and subtract:
cos²(x) = (169/169) - (25/169)

cos²(x) = 144/169

Since we need the value of cos(x), we take the square root of both sides:
cos(x) = ±√(144/169)

cos(x) = ±12/13

Since the value of sin(x) is negative, we are in the third or fourth quadrant, where the cosine is also negative. Therefore, we choose the negative value for cos(x):

cos(x) = -12/13

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The last option is the correct one.

It could be -10 because -10 is to the right of -13 on the numer line.

We know that normally the temperature in Pittsburgh is -13°F while in Cleveland it is -10°F.

Now we know that in some morning, the temperature of chicago is larger than the one for Pittsburg. So the temperater must be greater than -13°F

That means that any number from -12°F and up can be an accepted value, then the correct option is the last option.

It could be -10 because -10 is to the right of -13 on the numer line.

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Answer:

\(y = \frac{11}{3} = 3.67\)

Step-by-step explanation:

\(1. \: 3y - 1 = 10 \\ 2. \: 3y = 10 + 1 \\ 3. \: 3y = 11 \\ 4. \: y = \frac{11}{3} = 3.67 \)

Answer:

22

Step-by-step explanation:

The x-coordinates are the same, so we can find the positive difference between the y-coordinates, which is 22.

the answer is D) 22.

Answer:

x = 22, y = -13

Step-by-step explanation:

4x + 3y = 49

- x - 2y = 4

x + 2y = -4

4x + 8y = -16

Subtract both equations,

5y = -65

y = -13

x - 26 = -4

x = 22

Cheers

The equilibrium price and quantity for each pair of demand and supply functions are as follows:

a. Q = 10 - 2P

To find the equilibrium, we set the quantity demanded equal to the quantity supplied:

10 - 2P = P

By solving this equation, we can determine the equilibrium price and quantity. Simplifying the equation, we get:

10 = 3P

P = 10/3 ≈ 3.33

Substituting the equilibrium price back into the demand or supply function, we can find the equilibrium quantity:

Q = 10 - 2(10/3) = 10/3 ≈ 3.33

Therefore, the equilibrium price is approximately $3.33, and the equilibrium quantity is also approximately 3.33 units.

b. Q = 1640 - 30P

Setting the quantity demanded equal to the quantity supplied:

1640 - 30P = P

Simplifying the equation, we have:

1640 = 31P

P = 1640/31 ≈ 52.90

Substituting the equilibrium price back into the demand or supply function:

Q = 1640 - 30(1640/31) ≈ 51.61

Hence, the equilibrium price is approximately $52.90, and the equilibrium quantity is approximately 51.61 units.

In summary, for the demand and supply functions given:

a. The equilibrium price is approximately $3.33, and the equilibrium quantity is approximately 3.33 units.

b. The equilibrium price is approximately $52.90, and the equilibrium quantity is approximately 51.61 units.

In the first paragraph, we summarize the steps taken to determine the equilibrium price and quantity for each pair of demand and supply functions. We set the quantity demanded equal to the quantity supplied and solve the resulting equations to find the equilibrium price. Substituting the equilibrium price back into either the demand or supply function allows us to calculate the equilibrium quantity.

In the second paragraph, we provide the specific calculations for each pair of functions. For example, in case a, we set Q = 10 - 2P equal to P and solve for P, which gives us P ≈ 3.33. Substituting this value into the demand or supply function, we find the equilibrium quantity to be approximately 3.33 units. We follow a similar process for case b, setting Q = 1640 - 30P equal to P, solving for P to find P ≈ 52.90, and substituting this value back into the function to determine the equilibrium quantity of approximately 51.61 units.

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We draw the conclusion that the results are significantly different since the null hypothesis was rejected, which means that a different proportion of people than 0.3 had clinical illness.

With the aid of a statistical test, researchers weigh the evidence in favor of and against the null and alternative hypotheses, which are two opposing claims: The null hypothesis (H0) states that there is no population impact. Alternative hypothesis (Ha or H1): The population is affected.

Given,

Among susceptible individuals exposed to a particular infectious agent 30% generally develop clinical disease. out of a random sample of 100 people suspected of exposure to the agent only 20 developed clinical disease.

Let X be the random variable to determine the proportion of people who have clinical illness.

n: The overall number of people who were exposed to a specific infectious pathogen.

p: The percentage of sample members who have a clinical illness.

Selected subjects who experience clinical disease are the experiment's success.

As a result, the variables are n = 100 and p = 0.30.

It is necessary to determine whether exposure to the agent outcome may be entirely accounted for by coincidence.

A P-value is a probabilistic indicator of the likelihood that an observed outcome effect is accidental.

Using the default level of significance = 0.05, the level of significance is not defined.

One percentage z-test is the best suitable test for the aforementioned assertion.

The alternate and null hypothesis is

H0: p = 0.3

H1:: p ≠ 0.3

Where p is the percentage of the population that develops a clinical illness.

R may be used to calculate the p-value and test statistic.

The instruction is as follows:

x = 20; n = 100; p = 0.3; prop.test

The result looks like this: - The p-value obtained from the output above is 0.03817.

Decision principle:

When significance is 5%,

If the p-value is below 0.05, reject the null hypothesis.

Accept the contrary.

Because the p-value was 0.03817 0.05

The null hypothesis is disproven.

In conclusion:

We draw the conclusion that the results are significantly different since the null hypothesis was rejected, which means that a different proportion of people than 0.3 had clinical illness.

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Answer:

im confused

Step-by-step explanation:

Answer:

Do you need me to answer somthing PLEASE tell me if you do!!!!!

THANK YOU FOR THE POINTS!!!!!

please tell Step-by-step explanation:

Answer:

10 units is the solution

The distributions that a person  would be more likely to find the mean and median the same is  (E) A, B, and C.

The term  frequency distribution is known to be commonly used in statistics.

It is seen as a graph or data set that is put together to depict the frequency of  the occurrence of all the possible outcome of any kind of repeatable event that is seen to be observed a lot of times.

Note that from the image attached, you can see that the points ranges from 20 -30 and the heights of measurement is similar across all of them.

Therefore, The distributions that a person  would be more likely to find the mean and median the same is  (E) A, B, and C because the same value is used.

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Answer: 8 hours

Step-by-step explanation:  240 mph ÷ 30 = 8 hours

Answer: for this problem. What we're going to do essentially, this is an exercise of using the formula for finding the derivative of the inverse of a function. So we have the derivative of the inverse of F would be equal to one over the derivative of F. So F prime evaluated at f inverse of X. So in this case we have X equals three. So F inverse of three, prime will be equal to one over F prime evaluated at f inverse of three. Now, looking at the table of values that you have, well, F inverse of three is going to be the X value such that X equals, or the the X values such that F equals three. So we can see that F equals three when X equals negative one. So we have one over F prime evaluated at negative one and F prime of negative one, we can see it is equal to one. So we'd have won over one or just one is the final answer.

Step-by-step explanation:

Answer: $26.40

Step-by-step explanation:

Answer:

Jeremy ran about 1.2 miles and jimmy ran 2 miles so jimmy ran more miles

Explanation:

If Jeremy ran 10 laps on a 1/8 mile long track, he ran about 1.25 miles in total

(10*1/8)

If Jimmy ran 8 laps on a 1/4 mile long track, he ran 2 miles in total.

(8*1/4)

Note that the depreciation for this vehicle using method 2 will be $340.

To calculate the depreciation using method 2, we need to multiply the cost of the car by the depreciation rate per mile, which is given in cents per mile.

First, we need to calculate the total depreciation for the car in cents by multiplying the miles driven by the depreciation rate per mile:

Total depreciation = Miles driven x Depreciation rate per mile

Total depreciation = 10,000 x 3.4 cents per mile

Total depreciation = 34,000 cents

Next, we need to convert the total depreciation from cents to dollars by dividing it by 100:

Total depreciation = 34,000 cents ÷ 100 cents/dollar

Total depreciation = $340

Therefore, the depreciation for this vehicle using method 2 will be $340.

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The probability that she makes no more than 20 of them is 0.394

We use Binomial Distribution in solving this question.

The discrete probability distribution known as the binomial distribution only offers two outcomes for an experiment: success or failure.

Sum of independent Bernoulli trials is binomial distribution; a random Variable x is said to be following binomial distribution if it's density is given as

P(X=x) = (nCx) px (1−p)n−x    where x=0,1,2…n

Let x denotes the number of throws that makes a free throw so here

x follows Binomial distribution with n=28 and p=0.603

Thus, we calculate

P(X≤20) =∑_(k=0)^1▒1= (28Ck)0.603k (1−0.603)28−k =0.3144

=0.394

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The area of the rhombus WXYZ is 48 unit².

From the diagram:

Diagonal WY = 8 units, Diagonal XZ = 6 units, hence:

Area = 8 * 6 = 48 unit².

A rhombus is a special case of a parallelogram. In a diamond, the opposite sides are parallel and the opposite sides are equal in angle. In addition, all sides of the rhombus are the same length and the diagonal bisects at right angles. Diamonds are also known as diamonds.

The diagonals of the rhombus intersect at right angles to form a non-uniform triangle. The opposite angles are equal. However, if all angles of the diamond are 90 degrees, the diamond is said to be square.

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Answer:

1

Explanation and Check part below

Explanation and Check part belowHope this helps :)

Step-by-step explanation:

2 - 1 = 1

Check:

1 + 1 = 2

2 = 2

True statement.

Answer:

Step-by-step explanation:

ill explain How to solve.

A:    

     x+4>15

     15-4=11

      x<11

C:

     6b=>54

     54/6=9

      b=>9

USE A WEBSITE CALLED DESMOS

The growth rate of bacteria in a culture is not specified, so assuming it is exponential, the number of bacteria present after 2 hours will be approximately 1.8 x 10^8.

To solve this problem, we can use the exponential growth formula: N(t) = N0 * e^(rt), where N(t) is the number of bacteria at time t, N0 is the initial number of bacteria, r is the growth rate, and e is the base of the natural logarithm. First, we need to find the growth rate, r. We can use the initial and final number of bacteria and the time interval to do this.

N(t) = N0 * e^(rt)

171 = 38 * e^(49r)

ln(171/38) = 49r

r = ln(171/38)/49

r ≈ 0.069 Now we can use the formula to find N(120) (i.e., the number of bacteria after 2 hours, or 120 minutes):

N(120) = 38 * e^(0.069 * 120)

N(120) ≈ 1.8 x 10^8 Therefore, approximately 1.8 x 10^8 bacteria will be present in the culture after 2 hours.

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Answer;

the answer is 21

Answer:

550 kg

Step-by-step explanation:

if if we get 30 day as in a month show the sugar will be consumed equals to 2 kg per day soooo if there is 275 days x 2 kg equals to 550 kg sugar consumed by them

Answer:550 kg

Step-by-step explanation: 30 day as in a month show the sugar will be consumed equals to 2 kg per day so if there is 275 days x 2 kg equals to 550 kg sugar consumed by them.

i think sorry if its worng

Answer:

b.

Step-by-step explanation:

100x2−20x+1

= (10x - 1)(10x - 1)

= (10x - 1)^2.