The point on the unit circle associated with the angle 765° is in quadrant I. O True O False

Answer:

\( \frac{9x { }^{2 } - 63x}{ 3x} \\ = \frac{3x(3x - 21)}{3x} \\ = 3x - 21 \)

hope it helps:)

Answer:3x-21

Step-by-step explanation:

\(\frac{9x^{2} - 63x }{3x}\) ⇒ \(\frac{3x * (3x - 21) }{3x}\) ⇒ cancel out 3x ⇒ 3x - 21

The graph for the given mode function, y ≥ |x| - 4 is attached below.

In mathematics, the modulus function is a function for which any input value of x, output will be always positive

Given that,

The modulus function,

y  ≥  |x| - 4

We can write given function in a following two ways-

y  ≥  x - 4

y  ≥  -x - 4

So, for any value of x

y should be greater than modulus functions value

Plotting graph for  y  ≥  x - 4

So first draw line  x - 4

Now, here we have inequality sign

So left side region will be our desired space

Similarly, Plotting graph for  y  ≥  -x - 4

So first draw line  -x - 4

Now, here we have inequality sign

So right side region will be our desired space

Hence, Graph is drawn for the given function

To know more about Modulus function check:

https://brainly.com/question/13103168

#SPJ1

The data on bar graph is from a sample of parents taken from the

population.

The correct option is option A;

The given information is a summary data on a bar graph of 1203 parents

of children under 18 years.

The conclusion is that; With certainty, 31% of all parents of children are

willing to pay half of their child's college education.

Therefore;

The conclusion arrived at by analyzing the data in the bar chart is

arrived at by induction, given that the data is from a sample of all

parents, such that willingness of the rest of the population to pay half of

their child's education cannot be concluded with certainty.

The correct option is therefore; A. The statement does not make sense. The conclusion should be made inductively and not with certainty.

Learn more about statistical analysis here:

https://brainly.com/question/7232529

Answer:

D. Bimodal

Explanation:

The given histogram has two creast, each crest represent a mode. So, we can say that this is a bimodal graph. Therefore, the answer is

D. Bimodal.

Answer:

Step-by-step explanation:

Step1 : Verify Sn is valid for n = 1

Answer:

\(\int {7 \sec(\theta) } \, d\theta = 7\ln(\sec(\theta) + \tan(\theta)) + c\)

Step-by-step explanation:

The question is not properly formatted. However, the integral of \(\int {7 \sec(\theta) } \, d\theta\) is as follows:

\(\int {7 \sec(\theta) } \, d\theta\)

Remove constant 7 out of the integrand

\(\int {7 \sec(\theta) } \, d\theta = 7\int {\sec(\theta) } \, d\theta\)

Multiply by 1

\(\int {7 \sec(\theta) } \, d\theta = 7\int {\sec(\theta) * 1} \, d\theta\)

Express 1 as: \(\frac{\sec(\theta) + \tan(\theta) }{\sec(\theta) + \tan(\theta)}\)

\(\int {7 \sec(\theta) } \, d\theta = 7\int {\sec(\theta) * \frac{\sec(\theta) + \tan(\theta) }{\sec(\theta) + \tan(\theta)}} \, d\theta\)

Expand

\(\int {7 \sec(\theta) } \, d\theta = 7\int {\frac{\sec^2(\theta) + \sec(\theta)\tan(\theta) }{\sec(\theta) + \tan(\theta)}} \, d\theta\)

Let

\(u = \sec(\theta) + \tan(\theta)\)

Differentiate

\(\frac{du}{d\theta} = \sec(\theta)\tan(\theta) + sec^2(\theta)\)

Make \(d\theta\) the subject

\(d\theta = \frac{du}{\sec(\theta)\tan(\theta) + sec^2(\theta)}\)

So, we have:

\(\int {7 \sec(\theta) } \, d\theta = 7\int {\frac{\sec^2(\theta) + \sec(\theta)\tan(\theta) }{u}} \,* \frac{du}{\sec(\theta)\tan(\theta) + sec^2(\theta)}\)

Cancel out \(\sec(\theta)\tan(\theta) + sec^2(\theta)\)

\(\int {7 \sec(\theta) } \, d\theta = 7\int {\frac{1}{u}} \,du}}\)

Integrate

\(\int {7 \sec(\theta) } \, d\theta = 7\ln(u) + c\)

Recall that: \(u = \sec(\theta) + \tan(\theta)\)

\(\int {7 \sec(\theta) } \, d\theta = 7\ln(\sec(\theta) + \tan(\theta)) + c\)

Answer:

\(\frac{1}{32} yards^{3}\)

Step-by-step explanation:

\(V=w*h*l\)

↓

\(V= \frac{1}{4} *\frac{1}{4} *\frac{1}{2}\)

=

\(\frac{1}{32} yards^{3}\\\)

Hope this helps!

Answer:

The answer is 486,732

Answer:

5

Step-by-step explanation:

You want me to let you in on a secret? There's a simple equation that you can use to solve any quadratic problem in a minute or two.

It's the quadratic formula

x =  \(x = \frac{-b +- \sqrt{b^2 - 4ac} }{2a}\)

The +- means that you will do this two times, the first time you will do -b + sqrt(b^2-4ac), and the second time you will do minus that.

a is the coefficient of the first term in the expression, b is the second and c is the third.

so we get\(x = \frac{-(-10) +- \sqrt{(-10)^2 - 4(1)(24)} }{2(1)}\) , which is the same as

\(x = \frac{10 + \sqrt{100 - 24(4)} }{2}\)

and

x = \(x = \frac{10 - \sqrt{100 - 24(4)} }{2}\)

The top part simplifies to \(\frac{10 + \sqrt{100 - 72} }{2} = \frac{10 + 6}{2} = 5\), which is your answer.

Given statement solution is :-  For the third week of April, Patricia's:

Regular pay amount is $476.

Overtime pay is $231.45.

Gross pay is $707.45.

To calculate Patricia's pay for the third week of April, we'll need to determine her regular pay, overtime pay, and gross pay.

Regular Pay:

Patricia worked 53 hours, but only 40 hours are considered regular hours. Therefore, the regular pay is calculated as follows:

Regular Pay = Regular Hours x Hourly Rate

Regular Pay = 40 hours x $11.90/hour

Regular Pay = $476

Overtime Pay:

Since Patricia worked 53 hours in total and 40 of those are regular hours, the remaining 13 hours are considered overtime hours. Overtime pay is calculated by multiplying the overtime hours by 1.5 times the hourly rate.

Overtime Pay = Overtime Hours x (Hourly Rate x 1.5)

Overtime Pay = 13 hours x ($11.90/hour x 1.5)

Overtime Pay = 13 hours x $17.85/hour

Overtime Pay = $231.45

Gross Pay:

Gross Pay is the sum of Regular Pay and Overtime Pay.

Gross Pay = Regular Pay + Overtime Pay

Gross Pay = $476 + $231.45

Gross Pay = $707.45

Therefore, for the third week of April, Patricia's:

Regular pay amount is $476.

Overtime pay is $231.45.

Gross pay is $707.45.

For such more questions on Pay Calculation for Patricia

https://brainly.com/question/32055117

#SPJ8

Answer:

19 - 42x

Step-by-step explanation:

To differentiate this, we must use the product rule
f'(x) = (7x+3)'(4-3x) + (4-3x)'(7x+3)
= (7)(4-3x) + (-3)(7x+3)
= 28 - 21x - 21x - 9
= 19 - 42x

I got the answer of 505 students

The measure of the arc opposite to 189° is 136°.

Secant lines are lines that intersect a curve at two distinct points. They are used to approximate the slope of the curve by measuring the change in the y-coordinate of the two points divided by the change in the x-coordinate of the two points.

The measure of the angle opposite to 189° is x.

To solve for x, we can use the property of alternate interior angles.

The sides of the two secant lines that intersect outside the circle form alternate interior angles whose measures are equal.

Therefore, the two angles formed by the secant lines inside the circle must have the same measure.

Therefore, 53° + x° = 189°.

Subtracting 53° from both sides, we get x° = 136°.

For more questions related to arc

https://brainly.com/question/29860198

#SPJ1

Answer:

2.5 min

Step-by-step explanation:

Answer:

ako din sana mabigyan ket 20

Answer:

A

Step-by-step explanation:

Answer:

Over several years, snow falls on a glacier and gradually compacts into ice.

Step-by-step explanation:

Hope It Helped :)

The equation that could be used to represent this situation, where x is the course fee and R(x) is the total revenue, is: R(x) = 250000 + 375x - 2.5x²

Equations are mathematical statements with two algebraic expressionsοn either sideοf an equals (=) sign. It illustrates the equality between the expressions writtenοn the left and right sides. To determine the valueοf a variable representing an unknown quantity, equations can be solved. A statement is not an equation if there is no "equal to" symbol in it. It will be regarded as an expression.

N(x) = 625 + 2.5x

The revenue R(x) will be the productοf the numberοf students enrolled and the fee charged per student. The fee charged per student will be (400 - x) dollars. So, the revenue function can be represented as:

R(x) = (625 + 2.5x)(400 - x)

Simplifying the expression, we get:

R(x) = 250000 + 375x - 2.5x²

Therefore, the equation that could be used to represent this situation, where x is the course fee and R(x) is the total revenue, is:

R(x) = 250000 + 375x - 2.5x²

Learn more about equations, by the following link

brainly.com/question/2972832

#SPJ1

Answer:

A

Step-by-step explanation:

Big Brain

Answer:

Expected value E(x)

= 2 x 0.11 + 11 x 0.09 + 12 x 0.08 + 13 x 0.58 + 19 x 0.14

= 12.37

Variance

= E( X^2 ) - (E(X))^2

= (2^2 x 0.11 + 11^2 x 0.09 + 12^2 x 0.08 + 13^2 x 0.58 + 19^2 x 0.14) - (12.37)^2

= 171.41 - 153.0169

= 18.393 (cor to 3 dp)

Standard deviation

= \(\sqrt{variance}\)

=\(\sqrt{18.3931}\)

= 4.289 (cor to 3 dp)

Mean should be ( \(\frac{2+11+12+13+19}{5}\) ) = 11.4 but i am not very sure

Mean, variance and the standard deviation of the discrete random variable are 12.37, 18.3931 and 4.2887 respectively.

Expected value in probability is defined as the sum of the product of each of the variable and probability corresponding to the variable.

Expected value is same as the mean of a discrete random variable.

Mean, μ = Σ x. P(x)

              = (2 × 0.11) + (11 × 0.09) + (12 × 0.08) + (13 × 0.58) + (19 × 0.14)

              = 12.37

Variance, σ² = Σx² P(x) - μ²

                     = [(2² × 0.11) + (11² × 0.09) + (12² × 0.08) + (13² × 0.58) + (19² ×

                         0.14)]- [ 12.37²]

                     = 18.3931

Standard Deviation, σ = √Variance

                                    = 4.2887

Hence the mean is 12.37, Variance is 18.3931 and Standard deviation is 4.2887.

Learn more about Expected Values here :

https://brainly.com/question/29574962

#SPJ9

Answer:

I think the answer is 12:16 because my brother told me

Step-by-step explanation:

I dont know the answer my brother told me this answer. HOPE THIS HELPS

Answer:

6

Step-by-step explanation:

divide 3/4 by 1/8  (same as multiplying by 8)

this gives you 6

Answer:

B

Step-by-step explanation:

ANOVA means analysis of variance

The independent variable is the input that explains the dependent variable.

The dependent variable is called the response

Answer:

sameee lol

Step-by-step explanation:

The class width used for the frequency distribution is 6.

The class midpoint for the class 23-29 is 26.

The class midpoint for the class 30-36 is 33.

The class midpoint for the class 37-43 is 40.

To find the class width of the frequency distribution, we need to determine the range of each age class. The range is the difference between the upper and lower boundaries of each class. Looking at the table, we can see that the class boundaries are as follows:

23-29

30-36

37-43

For the class 23-29, the lower boundary is 23 and the upper boundary is 29. To find the class width, we subtract the lower boundary from the upper boundary:

Class width = 29 - 23 = 6

So, the class width for the frequency distribution is 6.

To find the class midpoint for each class, we take the average of the lower and upper boundaries of each class.

For the class 23-29:

Class midpoint = (23 + 29) / 2 = 52 / 2 = 26

For the class 30-36:

Class midpoint = (30 + 36) / 2 = 66 / 2 = 33

For the class 37-43:

Class midpoint = (37 + 43) / 2 = 80 / 2 = 40

So, the class midpoint for the class 23-29 is 26, for the class 30-36 is 33, and for the class 37-43 is 40.

For more such questions on class width visit:

https://brainly.com/question/30459609

#SPJ8

Solving the provided question, we can say that the quadratic equation is \((x - 1)(x^{2} + 3x - 4)\) = \(x^{3} + 2x^{2} - 7x + 4\) and the roots of the polynomial are x = 1, -1, 4.

A quadratic polynomial in a single variable is represented by the equation  \(ax^{2}+bx+c=0\). a 0. Since this polynomial is of second order, the Fundamental Theorem of Algebra guarantees that it has at least one solution. There are both simple and complex solutions.

A quadratic equation is just that—quadratic. It has at least one word that has to be squared, as shown by this. One of the often used solutions for quadratic equations is "ax2 + bx + c = 0." where X is an undefined variable and a, b, and c are numerical coefficients or constants.

the quadratic equation is

\((x - 1)(x^{2} + 3x - 4)\) = \(x^{3} + 2x^{2} - 7x + 4\)

On multiplying,

⇒ \(x (x^{2} + 3x - 4) - (x^{2} + 3x - 4)\)

⇒ \(x^{3} + 3x^{2} - 4x - x^{2} - 3x + 4\)

⇒ \(x^{3} + 2x^{2} - 7x + 4\)

∴ We can say that LHS = RHS.

From given equation, the roots of the equation will be  -

\((x - 1)(x^{2} + 3x - 4)\)

⇒ x - 1 = 0

⇒ x = 1

\(x^{2} + 3x - 4 = 0\)

⇒ \(x^{2} - 4x + x - 4\)

⇒ \(x(x - 4) + 1(x - 4)\)

⇒ (x + 1) (x - 4)

⇒ x = -1, x = 4

To know more about quadratic equation visit:

brainly.com/question/30098550

#SPJ1

By using the concept of mean and standard deviation, it can be inferred that

The the drug stays in the system for more than 397 minutes

What is mean and Standard Deviation?

Suppose there is a data set and the average of the data set has to be calculated. To calculate the average of the data set, mean is used

To know about Standard Deviation, it is important to know about Variance

Variance is the sum of the square of deviation from mean.

Square root of the variance gives the standard deviation

Given n = 35,

Population mean  = 397

Population Standard Deviation  = 18

Here the sample size is large. So the distribution is approximately normal

To test :

Test statistic t =

                      = 1.97

p value at  = 0.0244

Since 0.0244 < 0.05, the null hypothesis is rejected

So the the drug stays in the system for more than 397 minutes

To learn more about mean and Standard Deviation, refer to the link

brainly.com/question/28225633

Answer: 18900

Step-by-step explanation:

Given the question:

In 2001, the Guinness Book of World Records recognized a breakfast which served 18,941 people as the largest ever cooked. Which number below shows 18,941 rounded to 3 significant digits?

18,941 rounded to 3 significant figures

To round to 3 significant figures, the first 3 numbers are kept intact, then the subsequent number is rounded up to 1 if up to or greater than 5 and added to the third figure. If less than 5, all subsequent numbers are rounded down to 0

Hence,

18,941 = 18900 (because 4 is less than 5, 4 and all subsequent numbers are rounded down to 0).

Answer:

1/10 times larger than 859,463

Step-by-step explanation:

The 5 is one digit behind the first number. And 500,000 × 1/10 = 50,000, which 50,000 is 1/10 smaller than 500,000.