Please help with need an answer

The slope of the tangent line to the curve y = 9 - 7x^(3/2) at x = 4 is -21. None of the given answer choices (A. 159, B. 6, C. 8, D. 96, E. 43) match the correct answer. The correct answer is not provided in the given options.

To find the slope of the tangent line to the curve y = 9 - 7x^(3/2) at x = 4, we need to take the derivative of the function with respect to x and then evaluate it at x = 4.

Differentiating y = 9 - 7x^(3/2) with respect to x using the power rule, we have:

dy/dx = 0 - (7)(3/2)x^(3/2 - 1)

= -10.5x^(1/2)

Now, we can substitute x = 4 into the derivative to find the slope of the tangent line at x = 4:

slope = -10.5(4)^(1/2)

= -10.5(2)

= -21

Therefore, the slope of the tangent line to the curve y = 9 - 7x^(3/2) at x = 4 is -21.

None of the given answer choices (A. 159, B. 6, C. 8, D. 96, E. 43) match the correct answer. The correct answer is not provided in the given options.

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The correct answer is A. The standard error of the sample proportion will become larger as the sample size increases.

The standard error is a measure of the variability or uncertainty associated with an estimate. In the case of the sample proportion, it measures the spread or variability in the proportion of successes observed in the sample compared to the true population proportion.

As the sample size increases, the standard error decreases, indicating greater precision in estimating the true population proportion. This is because a larger sample provides more information and reduces the impact of sampling variability.

On the other hand, options B, C, and D are incorrect. The standard error is not affected by the population proportion itself but rather by the sample size. The population proportion approaching 0.50, 1.00, or 0 does not directly impact the standard error, although it may affect other measures such as the margin of error or confidence intervals. The primary factor influencing the standard error is the sample size, with larger samples leading to smaller standard errors.

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Answer:

14 cubic inches

Step-by-step explanation:

First, we have to find the radius from the circumference. We know that the circumference can be found using the equation c = 2pi(r). Set c equal to 7.1, and solve for r by dividing by 2pi.

Now, we have a radius of 1.13. Using this, we can plug the radius and the height into the equation used to find the volume of a cone: v = pi(r^2)(h/3)

This leads us to 14.04, or 14, when rounded to the nearest tenth of a cubic inch.

To calculate the center line of a control chart, you compute the average of the mean for every period.

A control chart is a graphical representation of a process's performance over time. It is utilized to determine whether a process is in control (i.e., consistent and predictable) or out of control (i.e., unstable and unpredictable).

The center line is used to represent the procedure average on a control chart. When the procedure is in control, the center line is the process's average. When the process is out of control, it can be utilized to assist in identifying where the out-of-control signal began.

The control chart is a valuable quality control tool because it helps detect process variability, identify the source of variability, and determine if process modifications have improved process quality. Additionally, the chart can serve as a visual guide, alerting employees to process variations and assisting them in responding appropriately.

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We have the equations :

To solve graphically, we should plot the graph of the equation on the same graph.

For y = x-2

We can obtain two points to plot the graph of y = x-2

At x= 0:

At y= 0:

We have the points : (0,-2) and (2,0)

For 2x + y =1

At x = 0:

At y = 0:

We have the points : (0, 1) and (1/2, 0)

Plotting these points gives the graph shown below:

From the graph, we have the point of intersection of the two lines as (1,-1)

Hence, the solution to the system of equation is (1, -1)

Therefore , the solution of the given problem of square comes out to be

RS= 3 √3/4 unit.

Euclidean geometry states that a square is a quadrilateral square has four equal sides plus four equal angles. A rectangle has two adjacent sides that are of the same length is another name for it. An equilateral quadrilateral is one that has a square as one of its four equal sides and four equal angles. A square angle is one that is 90 degrees or straight. The diagonals of the square are also split at a 90 degrees and are equally spaced. a rectangle next to it that has two sides of equal length. four equal-length sides and four right angles make up a quadrilateral. a parallelogram with a right angle formed by two neighboring, equal sides. rectangle with straight sides.

Here,

Given :

PQ⊥RS

=> c−a=b−d.1)

=> PQ=  3 √3/4

​=> PQ² = 27/16

​=> 1+(a−c)² =27/16

​

=> RS= √(b−d)² +1   (3)

=> By equation (1),(2)and (3)

RS= 3 √3/4

Therefore , the solution of the given problem of square comes out to be

RS= 3 √3/4 unit.

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Answer:

a) To find the time it will take William to cover the path shown on the map, we need to convert the length of the path from centimeters to kilometers using the map scale. 1 cm on the map represents 40,000 cm in reality, which is equivalent to 0.4 km. So, the length of the path in kilometers is:

36 cm x 0.4 km/cm = 14.4 km

Now we can use the formula time = distance ÷ speed to find how long it will take William to cover the path:

time = distance ÷ speed = 14.4 km ÷ 5 km/h = 2.88 hours or 2 hours and 52.5 minutes (rounded to the nearest minute).

b) The area of the rectangular field can be found by multiplying its dimensions together, then converting the area from square centimeters to hectares using the scale of the map.

Area of field = 9 cm x 7 cm = 63 cm²

Area of field in hectares = 63 cm² ÷ (20,000 cm/ha)² = 0.0001575 ha

To find how many tons of barley the farmer needs, we can use the given conversion factor of 0.3 tons of barley per hectare:

Tons of barley needed = 0.0001575 ha x 0.3 tons/ha = 0.00004725 tons or 47.25 grams of barley.

c) To find the area of the pool in reality, we need to convert the area of the pool on the map from square centimeters to square meters using the map scale.

Area of pool on map = 18.84 cm²

Area of pool in reality = 18.84 cm² x (500 cm/m)² = 0.471 m²

d)

1) The length of the straight edge of the figure can be found using the Pythagorean theorem:

a² + b² = c²

3² + 4² = 5²

9 + 16 = 25

c = √25 = 5 cm

The area of the figure can be found by adding the area of the triangle and the semicircle:

Area of triangle = 1/2 x base x height = 1/2 x 3 cm x 4 cm = 6 cm²

Area of semicircle = 1/2 x π x radius² = 1/2 x π x (5/2)² = 19.63 cm²

Total area of figure = 6 cm² + 19.63 cm² = 25.63 cm²

2) To draw the figure on a scale of 1:2, we need to multiply all dimensions by 2. So, the straight edge of the figure would be 10 cm long, the base of the triangle would be 6 cm, and the height of the triangle would be 8 cm. The radius of the semicircle would be 5 cm.

Using the same calculations as before, we can find the area of the figure on the new scale:

Area of triangle = 1/2 x base x height = 1/2 x 6 cm x 8 cm = 24 cm²

Area of semicircle = 1/2 x π x radius² = 1/2 x π x (5 cm)² = 39.27 cm²

Total area of figure = 24 cm² + 39.27 cm² = 63.27 cm²

3) To find the length and area of the figure twice its original size, we need to multiply all dimensions by 2. So, the straight edge of the figure would be 10 cm long, the base of the triangle would be 6 cm, and the height of the triangle would be 8 cm. The radius of the semicircle would be 5 cm.

Using the same calculations as before, we can find the area of the figure on the new scale:

Area of triangle = 1/2 x base x height = 1/2 x 6 cm x 8 cm = 24 cm²

Area of semicircle = 1/2 x π x radius² = 1/2 x π x (5 cm)² = 39.27 cm²

Total area of figure = 24 cm² + 39.27 cm² = 63.27 cm²

e) Without knowing the specific proportion, it's difficult to provide a solution. Please provide more information or the specific proportion so that we can help you solve it.

Answer:

what's the problem i know that "tickets for the school play cost 6 dollars for the adults and 3.50 for the students" but you didn't say how many people are going

Step-by-step explanation:

Answer:    B         √65

Step-by-step explanation:

The triangle on the right is a 3-4-5 right triangle.  Common triangle.  You can use Pythagorean to solve for the 4

To find x your triangle is 4-7-x

Use Pythagorean to solve for x(hypotenuse)

x²=4²+7²

x² = 16 +49

x² = 65           >take square root of both sides

x = √65          >this cannot be simplified any further

Answer:

1 and 5

Step-by-step explanation: the higher it is the more potential.

can i get brainlyiest please.

Answer:

Fixed ratio is a schedule of reinforcement

Step-by-step explanation:

Answer:

11/10°C

Step-by-step explanation:

7 x 3/10 = 21/10

Temperature at Midnight = -1°C

Temperature at 7.00am = 21/10 + (-1°C)

= 11/10°C

Answer:

Im not sure what you're supposed to solve but if you need to find what m = then its 110

X is equal to 8 and Y is equal to 3.

A pair that has two values stated in a certain sequence between parenthesis is known as an ordered pair. It is made up of the x coordinate (abscissa) and the y coordinate (ordinate). For greater visual comprehension, it helps to locate a point on the Cartesian plane.

Each domain element should have exactly one picture for the function, therefore the newest element in the column of x shouldn't be 6,3,9,7. Thus, we have two options for x = 8 or 12

Taking 8 will allow us to add another to the column on y, making y equal to 3.

thus, x = 8 and y = 3.

When an ordered pair is used, the numbers do not repeat.

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Answer:

Step-by-step explanation:

The area of the square is:

A = side^2 = 8^2 = 64 cm^2

Since the star covers 40% of the area of the square, its area is:

a_star = 0.4 * 64 = 25.6 cm^2

Let the width of the rectangle be 8 cm. Then, the length of the rectangle is:

l = 8 + 0.6*8 = 12.8 cm

The area of the rectangle is:

A_rect = wl = 812.8 = 102.4 cm^2

To calculate the area of the star inside the rectangle, we need to know the dimensions of the rectangle that are covered by the star. Since the star is inside a square of side 8 cm, its maximum width and height are both 8 cm. Therefore, the maximum area of the star inside the rectangle is:

a_star_max = 8*8 = 64 cm^2

However, this area is larger than the area of the star itself, which is 25.6 cm^2. Therefore, the area of the star inside the rectangle is 25.6 cm^2.

The percentage of the rectangle that the star covers is:

% coverage = (area of star inside rectangle / area of rectangle) * 100

= (25.6 / 102.4) * 100

= 25%

Therefore, the star covers 25% of the rectangle.

The congruent triangles in this problem are given as follows:

Triangles A and B.

Two figures are classified as congruent if their side lengths are the same.

If we rotate triangle B 180º over it's base, we have that it will have a similar format to triangle A, and also with the same side lengths.

Hence the congruent triangles in this problem are given as follows:

Triangles A and B.

With triangle C, no rotation would make it like A and B, with the same side lengths, hence it is not congruent to any of the triangles in this problem.

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The correct sampling method described in the question is a stratified random sample among the simple random sample,  stratified random sample, cluster random sample and  Voluntary random sample

The sampling method described in the question is a stratified random sample.

In a stratified random sample, the population is divided into subgroups or strata based on certain characteristics or criteria. Then, a random sample is selected from each stratum. The key idea behind this method is to ensure that each subgroup is represented in the sample proportionally to its size or importance in the population. This helps to provide a more accurate representation of the entire population.

In the given sampling method, the population is divided into subgroups, and a fixed number of units is taken from each group. This aligns with the process of a stratified random sample. The sample selection is random within each subgroup, but the number of units taken from each group is fixed.

Other sampling methods mentioned in the question are:

Simple random sample: In a simple random sample, each unit in the population has an equal chance of being selected. This method does not involve dividing the population into subgroups.

Cluster random sample: In a cluster random sample, the population is divided into clusters or groups, and a random selection of clusters is included in the sample. Within the selected clusters, all units are included in the sample.

Voluntary random sample: In a voluntary random sample, individuals self-select to participate in the sample. This method can introduce bias as those who choose to participate may have different characteristics than those who do not.

Therefore, the correct sampling method described in the question is a stratified random sample.

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A coastal town with 4,500 inhabitants has the fraction of 1,200 working in the service sector, which represents approximately 26.67% of the total population.

One third of the population works in fishing, which is equal to

(1/3) x 4,500 = 1,500 inhabitants

Two fifths work in agriculture, which is equal to

(2/5) x 4,500 = 1,800 inhabitants

The remaining inhabitants work in the service sector, which is equal to

4,500 - 1,500 - 1,800 = 1,200 inhabitants

To find the fraction of inhabitants who work in the service sector, we can divide the number of inhabitants who work in the service sector by the total population

1,200 / 4,500 = 0.2667 or 26.67%

Therefore, there are 1,200 inhabitants working in the service sector, which represents approximately 26.67% of the total population.

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Answer:

\(\frac{12}{3}\) simplified to 4

w=-4

Step-by-step explanation:

Answer:

Step-by-step explanation:

√2, √3 are irrational numbers.

√4  = 2 is not irrational.

Subsets a, b, c, d of the set {1, 2, 3, 4} such that r= ((a x b) u (c x d)) – (d x d) are a = {1}, b = {1, 2, 3}, c = {3}, and d = {2, 3}.

We start by examining the pairs in the set r. Notice that the first coordinate takes on the values 1, 2, 3, and 4, while the second coordinate takes on the values 1, 2, and 3. This suggests that we can take a, b, c, and d to be subsets of {1, 2, 3, 4}.

Since (1, 1) is in r, we know that (1, y) and (x, 1) must be in a x b and c x d, respectively, for some values of x and y. It follows that a = {1} and b = {1, 2, 3} (since (1, 2) and (1, 3) are in r).

Next, we consider the pairs (3, 2) and (3, 3) in r. These must come from either a x b or c x d. If they come from a x b, then 3 must be in aanand either 2 or 3 must be in b.

However, neither choice works because (3, 2) and (3, 3) cannot both be obtained in this way. Therefore, we must have (3, 2) and (3, 3) in c x d. Since 3 is already in a, we can take c = {3} and d = {2, 3}.

Finally, we need to remove the pairs in d x d from a x b u c x d. Since d = {2, 3}, we have d x d = {(2, 2), (2, 3), (3, 2), (3, 3)}.

It follows that (a x b u c x d) - (d x d) = ({1} x {1, 2, 3} u {3} x {2, 3}) - {(2, 2), (2, 3), (3, 2), (3, 3)} = {(1, 1), (1, 2), (1, 3), (3, 2), (3, 3), (4, 2), (4, 3)}

Therefore, we can take a = {1}, b = {1, 2, 3}, c = {3}, and d = {2, 3}.

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The cost when h=8 hours is 4290.

c(x) = 12x + 450 and N(h) = 40h

We get,

C(N(h)) = 12 *(N(h)) + 450

= 12 * 40h + 450

= 480h + 450

So,

Cost when h = 8 -> 480*8 + 450 = 4290

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The correct answer is A. Step 3 is the result of applying the Distributive Property to the equation in step 2.

The Distributive Property is a fundamental property in algebra that is used to simplify expressions by distributing a factor to every term inside parentheses.

In step 2 of the given equation, the 5 is being multiplied to the entire expression (x-3), so we use the Distributive Property to multiply 5 to both x and -3, resulting in 5x-15.

Therefore, step 3 combines like terms by subtracting 2x from 5x-15, which gives 3x-15.

Then, step 4 adds 13 to both sides to isolate x, resulting in 3x=7. Step 5 divides both sides by 3 to solve for x, which gives x=7/3.

Finally, step 6 simplifies the answer by writing it in the form of x-3.

Thus, Step 3 is the result of applying the Distributive Property to the equation in step 2.

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Answer:

\(\text{Average Weight}=\frac{1}{8}\sum\limits^{8}_{i=1}{X_{i}}\)

Step-by-step explanation:

The average value of a data set is the representation of the central tendency of the data set, i.e. the average of a set is the measure of center.

The formula to compute the average of a data set is:

\(\text{Average}=\frac{1}{N}\sum\limits^{N}_{i=1}{X_{i}}\)

Here,

N = number of observation in the data set

\(\sum\limits^{N}_{i=1}{X_{i}}\) = sum of all the observations

It is provided that the line plot shows the weights of the 8 kittens at 3 weeks old.

So, there are a total of N = 8 kittens.

The formula to compute the average weight is:

\(\text{Average Weight}=\frac{1}{8}\sum\limits^{8}_{i=1}{X_{i}}\)

Answer: How many distinct license plates can be formed if the first number cannot be zero and the three letters cannot form "DOG"?

Step-by-step explanation:

Since the first digit cannot be 0, there are 9 choices for the first digit.

For the three letters, there are 26 choices for the first letter, 26 choices for the second letter, and 25 choices for the third letter (since we cannot use "D", "O", or "G").

For the last three digits, there are 10 choices for each digit.

Therefore, the total number of distinct license plates can be formed is:

9 x 26 x 26 x 25 x 10 x 10 x 10 = 16,290,000

So there are 16,290,000 distinct license plates that can be formed if the first number cannot be zero and the three letters cannot form "DOG".

{I Hope This Helps! :)}

The value of h(7)+g(7) is 25.

What is a value of a function?

The value of a function is a number which can be obtain by substituting a value in the function.

We are given

\(h(a)=a^{2}\)    and    \(g(a)=-3a-3\)

To find h(7) substitute a=7 in the equation we get,

\(h(7)=7^{2}\\h(7)=49\)

Similarly to find g(7) substitute a=7 in the equation

\(g(7)=-3(7)-3\\g(7)=-21-3\\g(7)=-24\)

Now add both the values to find to find f(7)+g(7)

\(f(7)+g(7)=49-24\\f(7)+g(7)=25\)

Hence the value of f(7)+g(7) is 25.

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The man's BMI is approximately 22.09 based on his weight of 154 pounds and height of 70 inches.

To calculate the Body Mass Index (BMI) of a person, we use the following formula:

BMI = weight (in kilograms) / height^2 (in meters)

First, we need to convert the weight from pounds to kilograms. Since 1 pound is approximately 0.4536 kilograms, the man's weight of 154 pounds is equal to 69.85 kilograms (rounded to two decimal places).

Next, we need to convert the height from inches to meters. Since 1 inch is equal to 0.0254 meters, the man's height of 70 inches is equal to 1.778 meters (rounded to three decimal places).

Now, we can calculate the BMI using the formula:

BMI = 69.85 kg / (1.778 m)^2

Calculating this expression, we find that the man's BMI is approximately 22.09 (rounded to two decimal places).

In summary, the man's BMI is approximately 22.09 based on his weight of 154 pounds and height of 70 inches.

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