Priya drew a circle whose area is 25 cm. Dan drew a circle whose diameter is 4 times the radius of Priya's circle. How many times greater is the area of Dan's
circle?

The functions are evaluated to give;

a. f(5) = 149/25

b. f(-5) = 149/25

c. f(-x) = 6x² - 1/x²

Functions are defined as equation , laws or expressions showing the relationship between variables.

These variables are known as;

From the information given, we have that;

f(x)=6x^2-1/x^2

Now, to determine the functions, f(5), f(-5) and f(-x), we need to substitute the value inside the bracket as the value of x in each of the functions,

We have;

f(5) = 6(5)²- 1/(5)²

expand the bracket and subtract

f(5) = 149/25

For f(-5) = 6(-5)² - 1/(-5)²

f(-5) = 149/25

For f(-x) = 6(-x)² - 1/(-x)²

f(-x) = 6x² - 1/x²

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Answer:

(d miles)/(15 miles/gallon)*($2.19/gallon)

Step-by-step explanation:

Fuel efficiency = 15 miles/gallon.

Gas is $2.19/gallon.

Total cost is y.

miles is d

The equation that provides the total fuel for a trip in Alex's SUV would be:

Fuel for d miles (gallons) = (d miles)/(15 miles/gallon)

This is the total fuel required for a trip of d miles.  Multiply this times the cost per gallon to find the total ciost of the trip:

(d miles)/(15 miles/gallon)*($2.19/gallon) = Total cost for a trip of d miles.

Answer:

angle PSQ=25°

Step-by-step explanation:

angle RQS=angle PSQ.......... alternate angle

so angle PSQ=25°

Answer:

25 degrees

Step-by-step explanation:

If it is a parallelogram, then the sides PS and QR will be parallel, then ∠PSQ and ∠RQS are alternate interior angles, and hence they will be congruent. That is, ∠PSQ ≅ ∠RQS = 25°.

But this is not the confirmation that this would be parallelogram as it could be trapezoid. The given condition is must but not sufficient to prove it.

Hope this helps. Do mark me as BRAINLY. thanks

Answer:

\(2x^{2}\)

Step-by-step explanation:

Hope that helps!!!

-scsb17hm

Step-by-step explanation:

x^2-2x-3x+6=6x

x^2-5x+6=6x

x^2+6=6x+5x

x^2+6=13x

x^2-13x=6

x(x-13)=6

The probability she chooses a number greater than 5 will be 1/2 or 0.5.

Its simple notion is that something will most likely occur. The favorable event's proportion to the overall number of occurrences.

Probability = (Favorable event) / (Total event)

Eleanor randomly decides a number from 1 to 10.

Then the probability she chooses a number greater than 5 will be

Total event = 10

Favorable event = 5 {6, 7, 8, 9, 10}

Then we have

P = 5/10

P = 1/2

P = 0.5

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Answer:

Centre = (2, -3)

radius = 5units

Step-by-step explanation:

The standard form of a circle is expressed as;

x²+y²+2gx+2fy+c = 0

Centre = (-g, -f)

radius r = √g²+f²-c

Given the equation;

x²+y²-4x+6y-12 = 0

Compare

2gx = -4x

2g = -4

g = -2

Similarly;

2fy = 6y

2f = 6

f = 3

Centre = (-(-2), -3)

Centre = (2, -3)

Radius = r = √(-2)²+3²+12

r = √4+9+12

r = √25

r = 5 units

Answer:

An equation is 2.50x + 30 = 45

You purchased 6 movies

In order for B to be equal to (A ∪ B), certain conditions must be satisfied. These conditions involve the relationship between the sets A and B and the properties of set union.

To determine when B is equal to (A ∪ B), we need to consider the properties of set union. The union of two sets, denoted by the symbol "∪," includes all the elements that belong to either set or both sets. In this case, B would be equal to (A ∪ B) if B already contains all the elements of A, meaning B is a superset of A.

In other words, for B to be equal to (A ∪ B), B must already include all the elements of A. If B does not include all the elements of A, then the union (A ∪ B) will contain additional elements beyond B.

Therefore, the condition for B to be equal to (A ∪ B) is that B must be a superset of A.

To summarize, B will be equal to (A ∪ B) if B is a superset of A, meaning B contains all the elements of A. Otherwise, if B does not contain all the elements of A, then (A ∪ B) will have additional elements beyond B.

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The solution to the coupled differential equations dx/dt= 2.x1 +x2 is x1 = t^2 + 2t and x2 = t^2, We can then integrate both sides of the equation to get the following: ln(2.x1 +x2) = t + c

To solve this set of differential equations, we can use the method of separation of variables. This method involves separating the variables in each equation so that they can be solved independently. In this case, we can separate the variables as follows: dx/(2.x1 +x2) = dt

We can then integrate both sides of the equation to get the following: ln(2.x1 +x2) = t + c

where c is an arbitrary constant. We can then exponentiate both sides of the equation to get the following 2.x1 +x2 = e^t.e^c

We can then substitute the initial conditions into this equation to get the following 2.x1 +x2 = e^t.1

where x1(0) = 0 and x2(0) = 0. This gives us the following solution for x1 and x2 x1 = t^2 + 2t and x2 = t^2

Here are some additional explanations:

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2(l+w) + 4a and 2l+2w + 2(2a) are two equivalent expressions which represent the total fencing material required to surround the playground and flower beds.

Mathematical expressions are a way of representing mathematical ideas, concepts, and operations using symbols and notation. They can take many forms, including numbers, variables, and operators. They can also be combined to create more complex expressions, equations, and formulas.

Explain:

The total fencing material required to surround the playground and flower beds would be the sum of the fencing material for the playground and the fencing material for the flower beds.

So, one possible expression for the total fencing material required to surround the playground and flower beds would be: 2(l+w) + 4a

Another possible expression for the total fencing material required to surround the playground and flower beds would be: 2l+2w + 2(2a)

Please note that these expressions are based on the information provided, and the actual total fencing material required will depend on the specific dimensions of the park and playground, and may differ from these expressions.

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Answer:

yes it is, it has a the properties of a function especially because it passes the vertical line test.

The mean absolute deviation for the given dataset of 3, 6, 3.8, 3.2, and 3.4 is approximately 0.996. This means that, on average, each data point in the dataset deviates from the mean by approximately 0.996.

The mean absolute deviation (MAD) measures the average distance between each data point and the mean of the dataset. To find the MAD, you need to follow these steps:

1. Calculate the mean of the dataset by adding up all the numbers and dividing the sum by the total number of data points. In this case, the dataset consists of the following numbers: 3, 6, 3.8, 3.2, and 3.4. Adding them up gives us a sum of 19.4. Dividing this sum by 5 (since there are 5 data points) gives us a mean of 3.88.

2. Find the absolute deviation for each data point by subtracting the mean from each data point and taking the absolute value. For example, for the first data point, 3, the absolute deviation would be |3 - 3.88| = 0.88. Repeat this step for all the data points.

3. Calculate the mean of the absolute deviations by adding up all the absolute deviations and dividing the sum by the total number of data points. In this case, the absolute deviations are: 0.88, 2.12, 0.72, 0.68, and 0.58. Adding them up gives us a sum of 4.98. Dividing this sum by 5 gives us a mean of 0.996.

So, the mean absolute deviation for the given dataset is approximately 0.996.


The mean absolute deviation helps us understand how much each data point varies from the mean of the dataset. By calculating the absolute deviation for each data point and finding the average, we can determine the typical amount of variation in the dataset.


The mean absolute deviation for the given dataset of 3, 6, 3.8, 3.2, and 3.4 is approximately 0.996. This means that, on average, each data point in the dataset deviates from the mean by approximately 0.996.

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Answer:

27x +6

Step-by-step explanation:

3(7x+2)+6x

Distribute

21x+6 +6x

Combine like terms

27x +6

Answer:

The answer is 21x + 6

Step-by-step explanation:

1.) Multiply 3 to 7x and 2 since these ( ) means times whatever is inside them.

2.) Now you have 21x and 6, add 21x to 6x to equal 27x.

3.) Finally, you have your answer. 27x + 6.

if i was in your point of veiw i wilm go for a

Answer:

B (300, 400)

Step-by-step explanation:

The profit maximization will be when the sum of the products will be greater. The maximum profit will be when x is 300 and y is 400. If we put in the equation :

P = 40x + 55 y

A - When x =  0 , y = 500

P = [40 * 0] + [55 * 500]

P = 27500

B -

When x =  300 , y = 400

P = [40 * 300] + [55 * 400]

P = 34000

C -

When x =  380 , y = 200

P = [40 * 380] + [55 * 200]

P = 26200

D -

When x =  400 , y = 0

P = [40 * 400] + [55 * 400]

P = 16000

Answer: C is correct answer

Step-by-step explanation:

Answer:

8feet high

Step-by-step explanation:

To get the height of the pole, we will use the pythagoras theorem. Let H be the height

H²  = 10² -6²

H² = 100 - 36

H² = 64

H = √64

H = 8feet

Hence the pole is 8feet high

Answer: To find the value of f(5), we need to substitute 5 for x in the expression f(x) = 8x+5. This gives us:

f(5) = 8*5+5 = 45

So, the value of f(5) is 45.

Geoffrey buys 48 shares of Deegan Pharmaceuticals at $6.15 each, and his broker charges him a commission of $81. How much did Geoffrey pay for his stock.

The correct option is a.

$376.20. Step-by-step explanation: Cost of each share = $6.15 Number of shares bought = 48Therefore, Total cost of shares = Cost of each share × Number of shares bought= $6.15 × 48= $295.20.

Commission charged by broker = $81Total cost of the shares bought including commission= $295.20 + $81= $376.20Therefore, Geoffrey paid $376.20 for his stock.

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ANSWER

My answer is in the photo above

The decision rule for rejecting the null hypothesis is that if the test statistic is greater than 1.708, we reject the null hypothesis.

To determine the decision rule for rejecting the null hypothesis, we need to calculate the critical value for the given level of significance. The level of significance is 0.1.

Step 1: Determine the critical value
Since the sample size is small (26 students), we need to use the t-distribution. The critical value can be found using a t-table or a t-distribution calculator.

The degrees of freedom (df) for this test is n - 1, where n is the sample size. In this case, the sample size is 26, so the degrees of freedom is 26 - 1 = 25.

Using a t-table or t-distribution calculator with a significance level of 0.1 and degrees of freedom of 25, we find the critical value to be approximately 1.708.

Step 2: Determine the decision rule
The decision rule for rejecting the null hypothesis is as follows:
- If the test statistic is greater than the critical value (1.708), reject the null hypothesis.
- If the test statistic is less than or equal to the critical value (1.708), fail to reject the null hypothesis.

Therefore, the decision rule for rejecting the null hypothesis is that if the test statistic is greater than 1.708, we reject the null hypothesis.

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Answer:

B.   3,158

Step-by-step explanation:

h(x) = -49x − 125

Let x = -67

h(-67) = -49(-67) − 125

          =3283-125

          = 3158

Answer:

Answer B

Step-by-step explanation:

To find the value of h(-67) for the function h(x) = -49x - 125,

we substitute -67 for x in the function and evaluate it.

h ( - 67 ) = - 49 ( - 67 ) - 125

Now we can simplify the expression:

h ( -67 ) = 3283 - 125

h ( -67 ) = 3158

Answer:

A

Step-by-step explanation:

the order of letter should resemble the same shape

The value of x, the missing side which is the hypotenuse, is approximately 24.85 units.

To solve this problem, we can use the trigonometric function of sine, since we know the opposite side and we want to find the hypotenuse.

The sine of an angle is defined as the ratio of the length of the opposite side to the length of the hypotenuse:

sin(θ) = opposite/hypotenuse

In this case, θ is the angle 75 degrees, the opposite side is 24, and we want to find the hypotenuse x:

sin(75°) = 24/x

To solve for x, we can cross-multiply:

x * sin(75°) = 24

Then, we can divide both sides by sin(75°):

x = 24 / sin(75°)

Using a calculator, we get:

x = 24.85 units

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Answer:

d

Step-by-step explanation:

Answer:

x = 20

4x = 80°

5x = 100°

Step-by-step explanation:

The given angles are supplementary so their sum is 180°

4x + 5x = 180

9x = 180 divide both sides by 9

x = 20

The value of the angle marked 4x = 4 × 20 = 80°

The value of the angle marked 5x = 5 × 20 = 100°

Answer:

80°, 100°

Step-by-step explanation:

The 2 angles are same- side interior angles and are supplementary, thus

4x + 5x = 180

9x = 180 ( divide both sides by 9 )

x = 20

Thus

4x = 4 × 20 = 80°

5x = 5 × 20 = 100°

Answer:

\(t^{14}\) +  3  +  − \(\frac{3j}{7}\)  + 7 + -\(\frac{6j}{7}\)

Step-by-step explanation: