3x^2- 10x - 8 please help with this

Answer:

360

Step-by-step explanation:

Formula

Sides -2 ×180

4-2=2×180=360

Answer:

I think there is no solution to the equation. (I'm not sure what your asking)

Step-by-step explanation

The equation should equal 0, so you subtract 5x from both sides. Once you do that, it cancels out the 5x and leaves 10=0 which is a false statement.

Answer:

5/6

Step-by-step explanation:

5/6=0.84, 8/10= 0.8

Answer: Its b

Step-by-step explanation:

Im really good with answers

The answer is A, y axis (0,7), increasing from x -10 to x -2, decreasing from x -2 to x 10

a. The best point estimate for the percentage of readers who believe the city is doing a good job of snow removal is 65% (650/1000).

To construct a 90% confidence interval, follow these steps:

1. Identify the sample proportion (p) and sample size (n): p = 0.65, n = 1000.
2. Find the critical value (z) for a 90% confidence level: z = 1.645.
3. Calculate the standard error (SE) using the formula: SE = sqrt((p*(1-p))/n) = sqrt((0.65*0.35)/1000) ≈ 0.0146.
4. Determine the margin of error (ME): ME = z * SE = 1.645 * 0.0146 ≈ 0.024.
5. Calculate the confidence interval: (p - ME, p + ME) = (0.65 - 0.024, 0.65 + 0.024) = (0.626, 0.674).

b. The best point estimate is 65%, and the 90% confidence interval for the percentage of readers who believe the city is doing a good job of snow removal is (62.6%, 67.4%).

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For any value of "a", the function f(x) = cos²x is continuous at x = -2.

To determine the value of "a" for which the function f(x) = cos²x is continuous at x = -2, we need to evaluate the limit of the function as x approaches -2 from both the left and right sides, and then check if the two limits are equal.

First, let's evaluate the limit as x approaches -2 from the left side:

lim(x → -2-) cos²x = cos²(-2) = cos²(-2) = cos²(-2)

Next, let's evaluate the limit as x approaches -2 from the right side:

lim(x → -2+) cos²x = cos²(-2) = cos²(-2) = cos²(-2)

If the two limits are equal, then the function is continuous at x = -2.

Therefore, we have cos²(-2) = cos²(-2).

Since cos²(-2) is a constant value, it is always equal to itself, regardless of the value of "a".

Hence, for any value of "a", the function f(x) = cos²x is continuous at x = -2.

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The given function has a continuity at x = -2

To determine the value of a for which the function\(\(f(x) = \cos^2(x)\)\) is continuous at x = -2, we need to examine the behavior of the function as it approaches x = -2.

First, let's consider the function \(\(g(x) = 2\sin^2(x) - \sin(x) - 1\)\) as given. We'll check if it is continuous at x = -2 and find its value at that point.

To evaluate\(\(g(x)\) at \(x = -2\)\), we substitute x = -2 into the function:

\(\(g(-2) = 2\sin^2(-2) - \sin(-2) - 1\)\)

Using the identity\(\(\sin(-x) = -\sin(x)\)\):

\(\(g(-2) = 2\sin^2(2) + \sin(2) - 1\)\)

Now, we need to determine the value of a such that the function \(\(f(x) = \cos^2(x) - a\)\) is continuous at x = -2

To do that, we compare g(-2) and f(-2) and equate them:

\(\(2\sin^2(2) + \sin(2) - 1 = \cos^2(-2) - a\)\)

Since\(\(\cos^2(-x) = \cos^2(x)\):\)

\(\(2\sin^2(2) + \sin(2) - 1 = \cos^2(2) - a\)\)

Now, we evaluate both sides of the equation to find the value of a

\(\(2\sin^2(2) + \sin(2) - 1 = \cos^2(2) - a\)\)

Using a calculator, we can determine the numerical value of each term:

\(\(2\sin^2(2) \approx 1.605\)\\\(\sin(2) \approx 0.9093\)\\\(\cos^2(2) \approx 0.4161\)\)

Substituting these values:

\(\(1.605 + 0.9093 - 1 = 0.4161 - a\)\\\(2.5143 = 0.4161 - a\)\)

Rearranging the equation:

\(\(a = 0.4161 - 2.5143\)\\\(a \approx -2.0982\)\)

Therefore, for\(\(a \approx -2.0982\)\), the function \(\(f(x) = \cos^2(x) - a\)\) is continuous at x = -2

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If a person going to a party was asked to bring 3 different bags of chips. going to the store, she finds 15 varieties. there are 455 different selections that can she make.

A person going to a party was asked to bring 3 different bags of chips

On going to the store, she finds 15 varieties

Number of different selections can be found by using combination

nCr = n! / (r! x (n - r)!)

Where n denotes the number of choices available and r denotes the number of itmes to be choosen

Here n is 15 and r is 3

nCr = n! / (r! x (n - r)!)

¹⁵C₃ = 15! / (3! x (15 - 3)!)

¹⁵C₃ = 15! / (3! x12!)

¹⁵C₃ = 455

Therefore, if a person going to a party was asked to bring 3 different bags of chips. going to the store, she finds 15 varieties. there are 455 different selections that can she make.

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Answer:

37.95

Step-by-step explanation:

3.3x2.5x4.6=37.95

Answer:

78

Step-by-step explanation:

im not sure but i think is 78

60+18=78

sorry

Answer:

Step-by-step explanation:

30 minutes

Step-by-step explanation:

that problem description is imprecise.

I think what is meant here : they each keep jogging at their own same speed.

Diane’s speed is 1/3 miles / 10 min.

Jack’s speed is 2/3 miles / 10 min.

now, to bring this to regular miles/hour format, we need to find the factor between 10 minutes and an hour (60 minutes) and multiply numerator and denominator (top and bottom of the ratio) by it.

60/10 = 6.

so, we need to multiply both speeds up there by 6/6 to get the miles/hour speeds.

Diane : (1/3 × 6) / hour = 2 miles / hour

Jack : (2/3 × 6) / hour = 4 miles / hour

since Jack is running twice as fast as Diane, she will finish one length in the same time he finishes a round trip (back and forth).

Diane running 1 mile going 2 miles/hour takes her 30 minutes.

Jack running 2 miles (back and forth) going 4 miles/hour will take him also 30 minutes.

so, they will meet at his starting point after 30 minutes.

Ginny should reorder when the inventory level reaches 116.515 pounds to maintain a 95% service level

To calculate the reorder point, we need to consider two factors: the lead time (time between ordering and receiving the delivery) and the safety stock (the extra amount of flour kept in case of unexpected demand or delay in delivery).

Using the formula: Reorder point = (Average daily usage x Lead time) + Safety stock, we can calculate the reorder point.

Here, the average daily flour consumption is 35 pounds with a standard deviation of 7 pounds, and the average delivery time from the supplier is 3 days with a standard deviation of 0.5 days. She decides to order 72 pounds at a time.

The lead time is 3 days, and the safety stock can be calculated using the service level and standard deviation of demand during lead time. Assuming a 95% service level, we can use the z-score of 1.645 (from the standard normal distribution table) to calculate the safety stock.

Safety stock = (z-score x Standard deviation of demand during lead time) = (1.645 x 7) = 11.515 pounds

Now, we can calculate the reorder point:

Reorder point = (Average daily usage x Lead time) + Safety stock = (35 x 3) + 11.515 = 116.515 pounds

Therefore, Ginny should reorder when the inventory level reaches 116.515 pounds to maintain a 95% service level. This ensures that she has enough flour to cover her daily usage and also account for any unexpected demand or delivery delays.

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The system can be written as a vector equation as [5, 1, -3] [x1, x2, x3]^T = [8, 0]^T and as a matrix equation as AX = B, where A = [5 1 -3; 0 2 4], X = [x1; x2; x3], and B = [8; 0].

To write the given system as a vector equation, we group the variables and the constants into vectors and write the equations in a matrix form. Thus, the system can be written as [5x1 + x2 - 3x3; 2x2 + 4x3] = [8; 0], which is a vector equation.

To write the system as a matrix equation, we can write the coefficients of the variables in a matrix A, the variables in a vector X, and the constants in a vector B. Thus, the system can be written as AX = B, where A = [5 1 -3; 0 2 4], X = [x1; x2; x3], and B = [8; 0].

We can then solve for X by finding the inverse of A and multiplying both sides of the equation by it.

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The statement "System analysts define an object's attributes during the systems design process" is true because  defining object attributes is an essential part of the systems design process to ensure that the system meets the desired functional requirements.

In systems design, objects are used to represent real-world entities that are relevant to the system being developed. These objects have attributes that describe their characteristics or properties, which are used to identify and manipulate them within the system. System analysts define these attributes during the systems design process to ensure that the system meets the desired functional requirements.

For example, in a library system, a book object may have attributes such as title, author, publisher, and ISBN. Defining these attributes helps ensure that the system can properly manage and retrieve books as needed. Object-oriented design is a popular approach to systems design that relies heavily on defining objects and their attributes.

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Answer:

0

Step-by-step explanation:

-8-x=x-4x

-9x=-3x

-9x+3x=0

-6x=0

x=0

Answer:

x=4

Step-by-step explanation:

-x-x+4x=8

-2x+4x=8

2x=8

x=8/2

x=4

(a) The GPA for those with verbal SAT scores of 600 is: 3.097

(b) The slope of 0.00362 represents the average change in the college GPA that is associated with a one-unit increase in the verbal SAT score

a. Estimate the average GPA for those with verbal SAT scores of 600.

The regression line relating verbal SAT scores and college GPA for the data exhibited in Figure 3.12 is y = 0.275 + 0.00362x.

The GPA for those with verbal SAT scores of 600 is:

y = 0.275 + 0.00362(600)

= 3.097

b. Explain what the slope of 0.00362 represents in terms of the relationship between GPA and SAT.

The slope of 0.00362 represents the average change in the college GPA that is associated with a one-unit increase in the verbal SAT score

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The sentence "If it is a dog (d), it has fleas (f)" can be represented in symbolic form as d → f.

In symbolic logic, we represent the components of a sentence using letters or symbols. In this case, the given sentence has two components: "it is a dog" and "it has fleas." To represent these components, we assign the letter 'd' to "it is a dog" and the letter 'f' to "it has fleas."

The sentence "If it is a dog, it has fleas" implies a conditional relationship between the two components. It states that if something is a dog (d), then it has fleas (f). This can be symbolically represented as d → f, where the arrow (→) denotes the conditional relationship.

The given sentence, "If it is a dog (d), it has fleas (f)," can be represented in symbolic form as d → f. The arrow (→) in symbolic logic represents the conditional relationship. It indicates that if something is a dog (d), then it has fleas (f). In this symbolic representation, 'd' stands for "it is a dog," and 'f' represents "it has fleas."

The sentence is a conditional statement because it presents a hypothetical relationship between the two components. The truth value of the sentence depends on whether the antecedent (d) is true or false. If something is indeed a dog, then it implies that it has fleas. However, if it is not a dog, the statement does not make any specific claim about fleas.

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The account balance in the bank after 5 years is $1,216.65.

An amount of $1,000 is deposited into a bank account that pays 4% annual interest. The amount in the bank account after 5 years can be calculated as follows:

Therefore,

\(A = p(1 + \frac{r}{n} )^{nt}\)

where

Therefore,

p = 1000 dollars

4 = 4 % = 4 / 100 = 0.04

t = 5 years

n = 1

Therefore,

A = 1000(1 + 0.04/1)¹ˣ⁵

A = 1,000(1 + 0.04)⁵

Therefore,

A = $1,216.65

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The Fourier coefficient C₄ of the exponential series is nonzero.

To find the Fourier coefficient C₄ of the periodic function x(t) = 4cos(t)sin(4t), we need to determine the coefficient associated with the term cos(4ω₀t), where ω₀ is the fundamental frequency.

The Fourier series representation of x(t) can be expressed as follows:

x(t) = C₀ + Σ[Cₙcos(nω₀t) + Dₙsin(nω₀t)]

Given x(t) = 4cos(t)sin(4t), we can see that the term cos(4ω₀t) is present.

Comparing this to the general form, we can conclude that C₄, the Fourier coefficient associated with cos(4ω₀t), is nonzero.

Therefore, the Fourier coefficient C₄ of the exponential series for the given periodic function is nonzero.

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Answer:

264

Step-by-step explanation:

Area= 1/2•b•h

=2(1/2)(b)(h)+3(b)(h)

=2(1/2)(6)(4)+3(16)(5)

=264

Approximately 20.30% of the total area is below the standard normal curve between z = -1.6 and z = -0.65. 

To discover the rate of the entire region beneath the standard normal curve between z=-1.6 and z=-0.65, we got to discover the region to the cleared out of z=-0.65 and the range to the cleared out of z=-1.6. At that point subtract the two ranges. 

Using a standard normal distribution table or a calculator capable of calculating normal probabilities, we can find the regions to the left of z = -0.65 and z = -1.6 respectively.

The area to the left of z = -0.65 is 0.2578 (rounded to four decimal places).

The area to the left of z = -1.6 is 0.0548 (rounded to four decimal places).

In this manner, the rate of add-up to the region between z = -1.6 and z = -0.65 is

Rate of add up to zone = (range cleared out of z = -0.65 - zone cleared out of z = -1.6) × 100D44 = (0.2578 - 0.0548) × 100D44 = 20.30D 

Therefore, approximately 20.30% of the total area is below the standard normal curve between z = -1.6 and z = -0.65. 

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This results in the systematic measurement error as the deviation is consistently in one direction. Hence, this is an

example of systematic measurement error.

In the given scenario, the researcher reviews study data about head circumference in newborns and notes that study

personnel are measuring from the end of the measuring tape and not from the zero point, which is 1 cm from the end.

This is an example of systematic measurement error.

Systematic measurement error refers to a consistent deviation from the true value in a particular direction in a series of

measurements.

This error is also referred to as bias. In the given scenario, the personnel are measuring from the end of the measuring

tape and not from the zero point, which is 1 cm from the end.

This results in the systematic measurement error as the deviation is consistently in one direction. Hence, this is an

example of systematic measurement error.

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Answer: Adult tickets were sold = 325

Step-by-step explanation:

Let, A = Number of adult tickets sold

S = Number of student tickets sold

Total number of tickets=599

Therefore:

                           A + S = 599

If, there were 51 fewer student tickets sold them adult tickets.

Since,

                            S=A-51

So, substitute A-51 for the value of the first equation.    

                            A+S=599    

                        A+(A-51)=599

Expanding to get:

                            2A-51=599

Solve to get:

                          2A=599+512

                          A=650A

                          A=325

So, A=325 adult tickets were sold.

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Answer: There were 52 Republicans and 46 Democrats.

Step-by-step explanation:

Let's represent the number of Republicans as "x" and the number of Democrats as "y".

From the problem, we know that:

x + y = 98 (since the total number of senators is 98)

y = x - 6 (since there were 6 fewer Democrats than Republicans)

We can substitute the second equation into the first equation to get:

x + (x-6) = 98

2x - 6 = 98

2x = 104

x = 52

Now that we know that there were 52 Republicans, we can substitute that into the second equation to find the number of Democrats:

y = x - 6

y = 52 - 6

y = 46

Therefore, there were 52 Republicans and 46 Democrats.

Answer:

There were 52 Republicans and 46 Democrats.

Step-by-step explanation:

Let's make a system of equations to represent this! D = democrats and R = republicans.

\(d + 6 = r\)

\(r + d = 98\)

Now let's set them both equal to d.

To do this for the first equation, subtract 6 from both sides to get:

\(d =r - 6\)

To do this for the second equation, subtract r from both sides to get:

\(d = 98 - r\)

Now, let's set them equal to eachother.

\(r - 6 = 98 - r\)

Add r to both sides

\(2r -6 = 98\)

Add 6 to both sides

\(2r = 104\)

Divide both sides by two

\(r = 52\)

There were 52 republicans. Now let's sub 52 in for r in one of the equations.

\(d + 6 = 52\)

subtract six from both sides

\(d = 46\)

There were 46 democrats.

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Answer:

ITS A

Step-by-step explanation:

your welcome honey :)

Answer:

C

Step-by-step explanation:

y = - 4 + 7

y = (0, 3)

y = 3

This is because the x intercept can not be determined as gradient can only be set to zero and y intercept can only be determined through the equation -4+7 = 3

Answer:

x = 5

Step-by-step explanation:

18 + 9 = 27

27/9 = 3

3x = x + 10

2x = 10

x = 5

Answer:

Option D is correct.

Value of x is, 10 units.

Step-by-step explanation:

Given that:  

From the given figure, we have;

AP = 3 units , PB = 6 units , QC = 20 units and AQ = x units.

then, by triangle proportionality theorem;

Substitute the given values, to find the value of x;

By cross multiply we have;

Divide both sides by 6 we get;

10 = x

Therefore, the value of x is, 10 units