Which of the following functions best describes this graph?

Answer:

x is 130 degrees. y is 80 degrees.

Step-by-step explanation:

Step-by-step explanation:

since ABCD is a Rhombus, x = 180-50 = 130°

y = 180-(50+50)= 80°

Answer:

b=sqrt7

Step-by-step explanation:

16=9+b^2

Step-by-step explanation:

IF  x-4   is a factor, then putting in x = + 4    will make the polynomial = 0

5 ( 4^3) - 20 (4^2) - 5(4)  + 20   =   0    Yes...it is a factor

\(x - 4 = 0 \\ x = 4 \\ \)

substitute value of x in the function to see if it equals to zero , if not it won't be a factor of the function

\(5 {x}^{3} - 20 {x}^{2} - 5x + 20 = 0 \\ 5(4) ^{3} - 20( {4})^{2} - 5(4) + 20 = 0 \\ 5(64) - 20(16) - 20 + 20 = 0 \\ 320 - 320 - 20 + 20 = 0 \\ 0 = 0\)

so (x-4) is a factor for the function

Answer:

The variable representation is x, x+2 and x+4 for this sequence.

Step-by-step explanation:

Given that:

The sum of 3 consecutive even numbers is 78.

Let,

The first even number is represented by x.

As the numbers are consecutive, thus,

First even number = x

Second even number = x+2

Third even number = x+4

Hence,

The variable representation is x, x+2 and x+4 for this sequence.

Answer:

Option A,  9b + 10s is correct

Step-by-step explanation:

The complete question is

At cycle and sport customers can rent bikes, electric scooters, kayaks, canoes, or paddleboards by the hour. Ari is renting a bi ke, and meg is renting an electric scooter. Which expression represents the total cost for Ari to rent a bike for b hours and Meg to rent a scooter for s hours (Please answer ASAP) A. 9b + 10s B. 9 + 10 C. (9+b) + (10 + s) D. 9 + 10 x b + s  

Solution

The price of renting a bike for one hour is $9

The price of renting a scooter for one hour is $10

Given -

Ari rents a bike for b hours and Meg rents a scooter for s hours

Total cost of renting a bike is 9 * b

Total cost of renting a scooter is 10* s

The total cost of renting both the bike and scooter is

9b + 10s

Hence, option A is correct

Answer:

C: X = 42

Step-by-step explanation:

Find each part to the triangle first

Answer:

nico

Step-by-step explanation:

Answer:

2y + 3x + 11

Step-by-step explanation:

I'm not sure..

The distribution of the sample mean can be represented as: X ~ N(67.15, 3.084/√30)

The distribution of the sample mean is a normal distribution with a mean equal to the population mean µ and a standard deviation equal to the population standard deviation σ divided by the square root of the sample size n.

Therefore, for this problem, the distribution of the sample mean can be represented as:

X ~ N(67.15, 3.084/√30)

where X is the sample mean, N represents a normal distribution, 67.15 is the population mean, 3.084 is the population standard deviation, and √30 is the square root of the sample size.

This distribution assumes that the sample is randomly selected from the population and the sample size is large enough to satisfy the central limit theorem.

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The average total cost can be found by dividing the total cost by the quantity produced. In this case, the total cost function is given as C = 90 + 35Q + 25Q^2 + 10Q^3, and we want to find the average total cost when Q = 2.

To find the average total cost, we need to calculate the total cost when Q = 2. Plugging Q = 2 into the cost function, we get:
C = 90 + 35(2) + 25(2^2) + 10(2^3)
C = 90 + 70 + 100 + 80
C = 340

Next, we divide the total cost by the quantity produced:
Average Total Cost = Total Cost / Quantity
Average Total Cost = 340 / 2
Average Total Cost = 170

Therefore, the value of average total cost when Q = 2 is $170.

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Answer:i

Step-by-step explanation:

Answer:

-11.8

Step-by-step explanation:

68x0.8

11x3.8

11x3.8=41.8

68x0.8=54.4

54.4-41.8=12.6

Now minus add a minus to it and you get -12.6 FT

Answer:

The slope is 6

Step-by-step explanation:

f(x)=2(3x-7)

Distribute the 2

f(x)=2*3x-2*7

f(x) = 6x -14

This is in slope intercept form

y = mx+b  where m is the slope and b is the y intercept

The slope is 6 and the y intercept is -14

The slope is 6

Answer:

(13.5)/4 = 3.375

step-by-step explanation

The given statement is false.

In a two-tailed hypothesis test for a population mean, where the population standard deviation is known, the critical values are the values that divide the alpha (significance level) into two equal-tailed regions.

For a 1% level of significance (alpha = 0.01), a two-tailed test allocates half of the alpha to each tail of the distribution. In this case, each tail will have an area of 0.01/2 = 0.005.

The critical values are determined by the standard normal distribution (z-distribution) or by the t-distribution (if the sample size is small and the population standard deviation is unknown). These critical values represent the number of standard deviations away from the mean that correspond to the desired level of significance.

The specific critical values will depend on the sample size, distribution type (z or t), and the desired level of significance. To obtain the critical values, one would consult a standard normal distribution table or a t-distribution table, depending on the case.

In summary, the critical values in a two-tailed hypothesis test do not necessarily divide the area under the standard normal curve into a middle 0.98 area and two outside areas of 0.01. The allocation of the alpha (significance level) is determined based on the desired level of significance, and the critical values are obtained from the appropriate distribution table.

Therefore, the given statement is false

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The area of the part of the sphere x² + y² + z² = a² that lies within the cylinder x² + y² = ax and above the xy-plane.

Step 1: Determine the intersection curve

To find the region on the sphere that lies within the cylinder, we need to determine the points where the sphere and the cylinder intersect. By substituting the equation of the cylinder into the equation of the sphere, we can find the points of intersection.

Substituting x² + y² = ax into x² + y² + z² = a², we have:

(ax) + z² = a²,

z² = a² - ax,

z = ±√(a² - ax).

Step 2: Set up the integral

To find the area of the surface, we'll use a double integral over the region of interest. Since we're dealing with surfaces, it's convenient to express the area element in terms of the cylindrical coordinates (r, θ, z).

The area element in cylindrical coordinates is given by dA = r dz dθ.

Step 3: Define the limits of integration

To set up the limits of integration, we need to consider the region of interest.

Therefore, the limits of integration are:

For θ: 0 ≤ θ ≤ 2π (since we want to integrate over the entire circle)

For r: 0 ≤ r ≤ a (to stay within the sphere)

For z: 0 ≤ z ≤ √(a² - ax) (to stay above the xy-plane and below the sphere)

Step 4: Evaluate the integral

Now, we can set up and evaluate the double integral using the defined limits of integration:

Area = ∫∫r dz dθ.

Integrating with respect to z:

Area = ∫[0 to 2π] ∫[0 to a] r √(a² - ax) dr dθ.

Evaluating this integral will give us the desired area.

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If the assignment is worth 100%, then it would completely replace the current grade you have.

If you have an assignment worth 100% of your grade, it means that the assignment will completely replace your current grade. In this case, your current grade of 68.9 is not relevant, as the new assignment will determine your final grade.

If you're asking how much you need to score on the assignment to maintain or improve your current grade of 68.9, you would need to score at least 68.9% on the assignment to maintain your current grade or score higher to improve your grade.

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The formula A = | ax (by - cy) + bx (cy - ay) + cx (ay - by) | / 2 is used to find the area of a parallelogram whose vertices are given. The vertices are (-2, 0), (0, 3), (1, 3), and (-1, 0). The area of the parallelogram is 11/2 square units.

To find the area of a parallelogram whose vertices are given, we use the formula

A = | ax (by - cy) + bx (cy - ay) + cx (ay - by) | / 2 .

Here, ax and ay are the x and y coordinates of vertex A, bx and by are the x and y coordinates of vertex B, and cx and cy are the x and y coordinates of vertex C. Given the vertices are (-2, 0), (0, 3), (1, 3), and (-1, 0).We will use the above formula to find the area of the parallelogram.

Area = |(-2(3)-0(1)+1(0)) + (0(0)-3(-1)+(-1)(-2))|/2

=|(-6+0+0)+ (0+3+2)|/2

=11/2 square units.

Hence, the area of the parallelogram whose vertices are (-2, 0), (0, 3), (1, 3), and (-1, 0) is 11/2 square units.

Therefore, the answer is: The area of the parallelogram whose vertices are (-2, 0), (0, 3), (1, 3), and (-1, 0) is 11/2 square units.

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Let A be the total amount of money that Mrs. Sorenstam had before buying the school supplies. Let C be the unit price of the compass, M the unit price of the mechanical pencil and R the unit price of the ruler.

The total amount of money required for the school supplies of one student, is C+M+R. Since there are 12 students, the total amount of money required for school supplies is:

Since Mrs. Sorenstam had a total A of money and she bought the school supplies for 12 students, with 36 cents left after the transaction, then:

Since C=1.49, M=0.59 and R=0.49, then:

Then, our equation is equivalent to:

which is the equation that we may write for the first part of the problem.

For the second part, one step is to multiply 12 times 2.57, and then add the result to both sides of the equation to solve for A:

1.- Multiply 12 times 2.57:

2.- Add 30.84 to both sides of the equation:

The attack on GhostNet commenced with a social engineering attack. Social engineering is a tactic employed by malicious actors to exploit human vulnerabilities rather than technical weaknesses.

In the case of GhostNet, the attackers strategically crafted deceptive methods, such as targeted phishing emails, to deceive unsuspecting individuals. By manipulating recipients into clicking on malicious links or divulging sensitive information, the attackers gained unauthorized access to systems and initiated the attack.

This initial phase of the attack leveraged psychological manipulation and manipulation of human trust to breach security defenses. Subsequently, the attackers may have employed additional techniques, such as exploiting wireless vulnerabilities, deploying malicious mobile code, or possibly utilizing insider knowledge. However, the primary point of entry in the GhostNet attack was through a social engineering attack.

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The simplified value of the expression √900 + √0.09 + √0.000009 is 30.303.

To simplify the given expression, let's evaluate the square roots individually and then perform the addition.

√900 = 30, since the square root of 900 is 30.

√0.09 = 0.3, as the square root of 0.09 is 0.3.

√0.000009 = 0.003, since the square root of 0.000009 is 0.003.

Now, we can add these simplified values together

√900 + √0.09 + √0.000009 = 30 + 0.3 + 0.003 = 30.303

Therefore, the simplified value of the expression √900 + √0.09 + √0.000009 is 30.303.

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The correct answers are: The RV can only take two values and the RV results in a success with probability p and in a failure with probability 1-p.

A Bernoulli trial is a random experiment that can result in one of two outcomes, usually referred to as success (S) or failure (F). A random variable that represents the outcome of a Bernoulli trial can only take two values, typically denoted by 1 for success and 0 for failure. The probability of success is denoted by p, and the probability of failure is 1-p.

Therefore, options a and d are incorrect, as they do not necessarily apply to a Bernoulli trial. The RV does not have to take value 0 or 1 with equal probability, and it does not have to be an integer variable.

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The quantity of purple marbles that Leslie has would be = 32 purple marbles.

The number of bags of marbles that Leslie has = 6 bags.

The quantity of marbles that is found in each bag = 16 marbles.

Therefore the total number of marbles = 6× 16 =96 marbles.

The fraction of purple marbles that Leslie has = 1/3 of 96

Therefore the total number of purple marbles the Leslie have = 1/3× 96 = 32

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Complete question:

Leslie has 6 bags of marbles. Each bag has 16 marbles. If ⅓ of the marbles are purple, how many purple marbles does Leslie have?

Answer:

Step-by-step explanation:

I=Pr

P(r+.005-r)=70-60

.005P=10

P=$2000

Answer:

Step-by-step explanation:

$60 simple interest is received on a loan each year. When the rate of interest is increased by 0.5%, the simple interest is $70. What is the amount of the loan?​

Thw statement that's true for the function g is g(-13) = 20.

From the information given, the function, g, has a domain of -20 ≤ x ≤ 5 and a range of -5 ≤ g(x) ≤ 45.

In this case, g(-13) = 20. Here, x = -13 is in the domain and 20 is also in the range. Therefore, this is true for g.

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Answer:

(-5/6)x - 1

Step-by-step explanation:

the equation is given by: y = mx + b

m = slope

b = y intercept

m = -5/6

y intercept = -1

f(x) = (-5/6)x - 1

Only 1, 54.

There are obviously no such 1-digit numbers (1 - 9).

Let n = ab be a 2-digit number whose value is 6 times its digit sum, meaning

n = 10a + b = 6 (a + b)

Then

10a + b = 6a + 6b

4a = 5b

Now, 4 and 5 are coprime, so for equality to hold, a must be a multiple of 5 and b must be a multiple of 4.

The only valid multiple of 5 is 5 itself:

• a = 5   ⇒   5b = 20   ⇒   b = 4

There are 2 multiples of 4 to check. The first one gives the same result as a = 5.

• b = 8   ⇒   4a = 40   ⇒   a = 10

but a must be 1-digit.

So among the 2-digit numbers, only 1 such number exists, n = 54.

Let n = abc be a 3-digit number satisfying the criterion. Then

n = 100a + 10b + c = 6(a + b + c)

100a + 10b + c = 6a + 6b + 6c

94a + 4b = 5c

c must be a number from 1-9, which means at most 5c = 5•9 = 45.

If we take the smallest possible values of a and b, we have

94•1 + 4•0 = 94

but the smallest value of 94a + 4b is larger than the largest value of 5c.

So there are no such 3-digit numbers.