Solve using the Quadratic formula: 3x²-2x+6=0

Answer:

B. y>x  y>2

Step-by-step explanation:

Solve this by plugging in any coordinates (x, y) that fall into the orange space on the graph.

Plug into each answer choice. Let's say I picked the coordinate (0,5). I would then look at answer choice A and see if plugging in the values of x and y make the system of equation statements true. For A, my equations would be 5>0 and 5<2. The first statement is true, however, the second is false, so A is not the answer.

Do this for each answer choice until you find the one with true statements only. After doing this, you'll find that answer choice B is the only one in which both statements are correct.

Answer:

$10.79

Step-by-step explanation:

1) Make an equation

40x + 48.67 = 480.17

where x is hourly pay

2) Solve

40x + 48.67 = 480.17

40x + 48.67 - 48.67 = 480.17 - 48.67

40x = 431.50

40x / 40 = 431.50 / 40

x = 10.79

An indirect proof is an argument that begins with the assumption that a conclusion is false, then uses logical reasoning to show that the assumption leads to a contradiction.

a fact or assertion that contradicts what someone else said or that differs from another fact or assertion to the point where one of them must be incorrect.

A situation or set of ideas that contradict one another is called a contradiction. A contradiction would be saying out loud that you support the environment while never remembering to empty the recycling. A statement that contains opposing ideas is frequently referred to as a "contradiction in terms."

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Answer:

<1= 100°

Step-by-step explanation:

<1=<5 Corresponding angles are equal

To find <5

180-80=100

Therefore <1=100

(a) A nonzero vector orthogonal to the plane through the points P, Q, and R is (9, -17, 35). (b) The area of triangle PQR is \(\sqrt\)(811) / 2.

(a) To determine a nonzero vector orthogonal to the plane through the points P, Q, and R, we can first find two vectors in the plane and then take their cross product. Taking vectors PQ and PR, we have:

PQ = Q - P = (5, 1, -2) - (-4, 0, 0) = (9, 1, -2)

PR = R - P = (6, 4, 1) - (-4, 0, 0) = (10, 4, 1)

Taking the cross product of PQ and PR, we have:

n = PQ x PR = (9, 1, -2) x (10, 4, 1)

Evaluating the cross product gives n = (9, -17, 35). Therefore, (9, -17, 35) is a nonzero vector orthogonal to the plane through points P, Q, and R.

(b) To determine the area of triangle PQR, we can use the magnitude of the cross product of vectors PQ and PR divided by 2. The magnitude of the cross product is given by:

|n| = \(\sqrt\)((9)^2 + (-17)^2 + (35)^2)

Evaluating the magnitude gives |n| = \(\sqrt\)(811).

The area of triangle PQR is then:

Area = |n| / 2 = \(\sqrt\)(811) / 2.

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Answer:

Step-by-step explanation:

A population parameter describes an entire population; a particular characteristic of an entire population. A value that describes the entire population. In this context, the population parameter is looking into the average ages of fathers when they had their first child, but this value is not given. The mean given here is the sample statistic.

Since, the population studied here is a very large population (all fathers), you have a statistic. But sometimes, if the population is very small and groups are small enough to measure, you have a parameter.

Answer:

Step-by-step explanation:

a=20

b=70

c=20

d=70

e=110

Answer:

A. 20

B. 70

C.20

D.70

E. 110

Step-by-step explanation:

Hope this helps  

pls tell me if im wrong

Answer:

63mi/h = 0.0175 mi/sec , hope this helps you

Answer/Step-by-step explanation:

If the vertical line touches the graph at more than one point, then the graph is not a function.Use the vertical line test to determine whether or not a graph represents a function. If a vertical line is moved across the graph and, at any time, touches the graph at only one point, then the graph is a function.  

[RevyBreeze]

Yes it's a function

As per the defination of function.

If every domain of the relationship has an unique range that's a function

So

Here

And rest also have unique range

So it's a function

Answer:

percentile rank of x =

number of values before x                           100

---------------------------------------------------  x    ----------

number of total values on the dot plot         1

Step-by-step explanation:

you divide the number of values before x over the number of total values on the dot plot, and divide the quotient by 100 to get your percentile.

95% of data are within two standard deviations of the mean 99.7% of data are within three standard deviations of the mean, 68% of data are within one standard deviation of the mean.

If your distribution follows a normal distribution, the standard deviation and mean can tell you where the majority of the data are.

The empirical rule, often known as the 68-95-99.7 rule, indicates where your values are located:

Thus, 95% of data are within two standard deviations of the mean 99.7% of data are within three standard deviations of the mean 68% of data are within one standard deviation of the mean.

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Answer: we need the table to solve this

Step-by-step explanation:

The volume of the parallelepiped with sides given by vectors A, B and C is 13 cubic cm, which is the final answer.

The given vectors are:

A = [-4, 3, 2] cm, B = [2,1,3] cm and C= [1, 1, 4] cm

In order to calculate the volume of parallelepiped, we will use vector triple product equation:

Volume = A . (BXC)|, where BXC represents the cross product of vectors B and C.

Step-by-step solution:

We have, A = [-4, 3, 2] cm

B = [2,1,3] cm

C = [1, 1, 4] cm

Now, let's find BXC, using the cross product of vectors B and C.

BXC = | i    j     k|                    2      1     3                            1      1     4        | i    j     k |  = -i + 5j - 3k

Where, i, j, and k are the unit vectors along the x, y, and z-axes, respectively.

The volume of the parallelepiped is given by:

Volume = A . (BXC)|

Therefore, we have: Volume = A . (BXC)

\(Volume = [-4, 3, 2] . (-1, 5, -3)\\Volume = (-4 \times -1) + (3 \times 5) + (2 \times -3)\\Volume = 4 + 15 - 6\\Volume = 13\)

Therefore, the volume of the parallelepiped with sides given by vectors A, B and C is 13 cubic cm, which is the final answer.

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Probability of choosing a red gumball choosing a blue gumball and choosing a green gumball are 2/9,  3/9,   4/9   RESPECTIVELY.

four green balls three blue gumballs and two red gumballs all the same size and shape.

total number of balls =9;

red ball =2

green ball=4

blue ball =3

as we know, the probability formula by simply dividing the favorable number of outcomes by the total number of possible outcomes.

so, according to the question;

probability of choosing a red gumball choosing= no. of red balls/total number of balls

=>2/9=0.22

probability of choosing a blue gumball choosing= no. of blue balls/total number of balls

=>3/9=0.33

probability of choosing a green gumball choosing= no. of green balls/total number of balls

=>4/9=0.44;

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A. average velocity = (-5.564) / (0.01) = -556.4 feet/second
B. the instantaneous velocity when t = 2 is estimated to be -32 feet/second

(a) To find the average velocity for the time period beginning at t2 and ending at the given time, we need to use the formula:

average velocity = (change in height) / (change in time)

i. When t = 2.05:

The height of the crate at t = 2.05 is:

h(2.05) = 508 - 8(2.05)^2 - 164 = 332.96 feet

The height of the crate at t = 2 is:

h(2) = 508 - 8(2)^2 - 164 = 348 feet

The change in height is:

332.96 - 348 = -15.04 feet

The change in time is:

2.05 - 2 = 0.05 seconds

Therefore, the average velocity for the time period beginning at t = 2.05 and ending at t = 2 is:

average velocity = (-15.04) / (0.05) = -300.8 feet/second

ii. When t = 2.02:

The height of the crate at t = 2.02 is:

h(2.02) = 508 - 8(2.02)^2 - 164 = 338.6568 feet

The height of the crate at t = 2 is:

h(2) = 508 - 8(2)^2 - 164 = 348 feet

The change in height is:

338.6568 - 348 = -9.3432 feet

The change in time is:

2.02 - 2 = 0.02 seconds

Therefore, the average velocity for the time period beginning at t = 2.02 and ending at t = 2 is:

average velocity = (-9.3432) / (0.02) = -467.16 feet/second

iii. When t = 2.01:

The height of the crate at t = 2.01 is:

h(2.01) = 508 - 8(2.01)^2 - 164 = 342.436 feet

The height of the crate at t = 2 is:

h(2) = 508 - 8(2)^2 - 164 = 348 feet

The change in height is:

342.436 - 348 = -5.564 feet

The change in time is:

2.01 - 2 = 0.01 seconds

Therefore, the average velocity for the time period beginning at t = 2.01 and ending at t = 2 is:

average velocity = (-5.564) / (0.01) = -556.4 feet/second

(b) To estimate the instantaneous velocity when t = 2, we need to find the derivative of h(t) with respect to t:

h'(t) = -16t

Then we plug in t = 2:

h'(2) = -16(2) = -32 feet/second

Therefore, the instantaneous velocity when t = 2 is estimated to be -32 feet/second.

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The function f(x) = ln(2 + sin(x))) is concave up for the range of x [0,2].

To discover the interval(s) on which f(x) = ln(2 + sin(x)) is concave up, compute the function's second derivative and check its sign.

To begin, compute the first derivative of f(x) with respect to x:

(1 / (2 + sin(x)) = f'(x)cos(x)

The second derivative of f(x) can therefore be found by taking the derivative of f'(x) with regard to x:

f''(x) = -(1/(2 + sin(x))(-sin(x)) cos2(x) + (1/(2 + sin(x))

When we simplify f''(x), we get:

f''(x) = -1/(2 + sin(x))²)sin(x)(sin(x)-2)

To discover the interval(s) where f(x) is concave up, we must first locate the interval(s) where f''(x) is positive. Because sin(x) might vary from -1 to 1, we must solve the inequality:

-(1/(2 + 1))^2(-1)(-1-2)≤f''(x)≤-(1 / (2 - 1))²(1) (1-2)

When we simplify this inequality, we get:

1/9 ≤ f''(x) ≤ -1/4

So, f is never negative at 0 ≤ x ≤ 2, so f is concave up in the range 0 ≤ x ≤ 2.

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Complete question - f(x) = ln(2 + sin(x)), 0 ≤ x ≤ 2 . Find the interval(s) on which f is concave up.

Answer:

(p - 8) / 2 = Maddie's pretzels

Answer:

(D)

Step-by-step explanation:

If it has a leading coefficient of 1, then it can not (A) or (B) because they have a two in front of it. Next, we can check the roots -2 and 7. -2 goes with (x+2), while 7 goes with (x-7). Therefore, you can already see that the answer is (D). To make sure. let us check the root 5 with multiplicity of 2. 5 goes with (x-5), implying that there must be 2 (x-5)'s. Only (D) satifies that as well, so the answer must be (D).

Answer:

D on edge

Step-by-step explanation:

Answer: 186,000

Step-by-step explanation:

You round the 282 down so that it is an even thousand. <3

186,282 rounded to the nearest thousand is 186,000.

To round 186,282 to the nearest thousand, we look at the digit in the thousands place, which is '6'.

If the digit in the hundreds place is 5 or greater, we round up. If it is less than 5, we round down.

In this case, since the digit in the hundreds place is '8', which is greater than 5, we round up.

To round up, we increase the digit in the thousands place by 1 and replace all the digits to the right with zeros.

Therefore, rounding 186,282 to the nearest thousand gives us 187,000.

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Anthony's "hiring process" or "recruitment period" was 30 days.

The blank can be filled with "hiring process" or "recruitment period" to indicate the duration between placing the advertisement for a new assistant on November 1 and hiring Marquis on December 1. This period represents the time it took Anthony to evaluate applicants, conduct interviews, and make the decision to hire Marquis.

The hiring process typically involves several steps, such as advertising the job opening, reviewing applications, conducting interviews, and finalizing the selection. The duration of this process can vary depending on various factors, including the number of applicants, the complexity of the position, and the efficiency of the hiring process.

In this case, the hiring process took 30 days, indicating the length of time it took for Anthony to complete the necessary steps and choose Marquis as the new assistant. This duration provides insight into the timeframe Anthony needed to assess candidates and make a hiring decision.

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Answer:

3/10

Step-by-step explanation:

mom = 35 when girl is born

girl = 0 when born

after 15 year

mom = 35 + 15 = 50

girl = 0 + 15 = 15

fraction = girl / mom = 15/50 = 3/10

Answer:

3/10 or 30%

Step-by-step explanation:

So the mom was 35 when she had her kid. When the kid is 15, that would make the mom 50 (35+15).

Then just divide! The term "fraction" is just a confusing term that most of the time means to divide.

15/50 is 3/10. If you want it as a percentage, then multiply the whole thing by 10/10, which gives you 30/100, or 30% of her mom's age. Hope this helped!

Answer:

y=3

Step-by-step explanation:

I assume this figure is dilated and that is always at a scale

Since we know the side of 2 of the corresponding one 3 and 2 we just divide them

3/2

1.5

Now to get y we divide that by 4.5

4.5/1.5

3

Hopes this helps please mark brainliest

The dimensions of the can that minimize the cost of the material are approximately:

Radius (r) ≈ 6.324 cm

Height (h) ≈ 3.984 cm

To determine the dimensions of the can that minimize the cost of the material, we need to find the dimensions that minimize the surface area of the can.

Let's assume the can has a height of h and a radius of r.

The volume of a cylinder is given by:

V = πr²h

Given that the can should hold 500 cubic centimeters of liquid, we have:

500 = πr²h

We want to minimize the cost, which depends on the surface area of the can.

The surface area of the can is the sum of the areas of the top, bottom, and side surfaces.

The cost of the top and bottom surfaces is twice as expensive per square centimeter as the sides.

Let's assume the cost per square centimeter of the sides is c, so the cost per square centimeter of the top and bottom surfaces is 2c.

The surface area of the sides of the cylinder is given by:

A_sides = 2πrh

The surface area of the top and bottom surfaces (each) is given by:

A_top_bottom = 2πr²

The total surface area (cost) is given by:

Cost = 2(2c)A_top_bottom + cA_sides

= 4cπr² + 2c(2πrh)

= 4cπr² + 4cπrh

To minimize the cost, we need to minimize the surface area. To do this, we can express the surface area in terms of a single variable, such as the radius (r) or the height (h).

From the volume equation, we have:

h = 500 / (πr²)

Substituting this value of h into the surface area equation, we get:

Cost = 4cπr² + 4cπr(500 / (πr²))

= 4cπr² + 2000c/r

Now, we can take the derivative of the cost function with respect to r, set it equal to zero, and solve for r to find the critical points:

dCost/dr = 8cπr - 2000c/r² = 0

8cπr = 2000c/r²

8πr³ = 2000

r³ = 250 / π

r ≈ 6.324

Now, we can substitute this value of r back into the equation for h:

h = 500 / (π(6.324)²)

≈ 3.984

So, the dimensions of the can that minimize the cost of the material are approximately:

Radius (r) ≈ 6.324 cm

Height (h) ≈ 3.984 cm

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The probability that a randomly chosen point in the interior of the square will also lie in the interior of the circle is  π/9 .

Probability of an event is defined as the Number of favorable outcomes divided by total number of outcomes.

It is denoted by P(E).

Given that

radius of circle = 3

side of the square = 9

Let E be the event that a randomly chosen point in the interior of the square will also lie in the interior of the circle

then

\(P(E)=\frac{AreaOfCircle}{AreaOfSquare}\)   ...(i)

Area of Circle = πr² = π(3)² = 9π

Area of Square = (side)²=(9)²=81

Substituting the values in equation (i) we get

\(P(E)=\frac{9\pi }{81}\)

\(=\frac{\pi }{9}\)

Therefore  , the probability that a randomly chosen point in the interior of the square will also lie in the interior of the circle is  π/9 .

The correct option is (C)  π/9

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Using compound interest, it is found that:

\(A(t) = P\left(1 + \frac{r}{n}\right)^{nt}\)

In this problem:

Then, the balance is:

\(A(5) = P\left(1 + \frac{r}{n}\right)^{nt}\)

\(A(5) = 5000\left(1 + \frac{0.03}{4}\right)^{4(5)}\)

\(A(5) = 5804\)

With interest compound quarterly, the balance is of Php 5,804.

Now, with annual interest, we have that \(n = 1\), and:

\(A(5) = P\left(1 + \frac{r}{n}\right)^{nt}\)

\(A(5) = 5000\left(1 + \frac{0.03}{1}\right)^{1(5)}\)

\(A(5) = 5796\)

With interest compound annually, the balance is of Php 5,796.

Due to the higher balance, the quarterly compound gives the higher interest.

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Answer:

OK I'll go help

Step-by-step explanation:

Have a great day! :)

Answer:

1/2

Step-by-step explanation:

Just take any two coordinates, and use this fornula

Y2 - y1

-----------

X2 - x1

The standard deviation of the sample proportion will be 0.14. So, the correct option is option D) 0.14.

The formula for the standard deviation of a sample proportion is given by:
standard deviation = √[p(1-p)/n]
where p is the proportion of successes in the population (i.e. the proportion of students who cleared the exam), and n is the sample size.

In this case, p = 225/300 = 0.75, since in the school of 300 students 225 students cleared the exam. The sample size is n = 10, as sample of 10 of these students is taken.

Plugging these values into the formula, we get:

standard deviation = √[0.75(1-0.75)/10] = √[0.01875] = 0.1366

Rounding to two decimal places, the answer 0.14.

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This is an example of interviewer bias where the gender of the interviewer may have impacted the replies of the unmarried males in the poll.

This is an example of interviewer bias, where the gender of the interviewer may have influenced the responses of the unmarried men in the survey. The results may not accurately reflect the true opinions of the participants as their answers could have been affected by their desire to impress or please the interviewer.

This situation is an example of response bias, specifically interviewer bias, which occurs when the respondent's answer is influenced by the gender or characteristics of the interviewer, rather than their true preferences or opinions.

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Answer:

anything to the power of zero is 1 so assuming thats a dash and not a negative its B

Step-by-step explanation: