In which quadrant would an angle x lie if sinx is negative and tanx is negative?

Quadrant I
Quadrant II
Quadrant III
Quadrant IV

Answer:

Not true. Actually, 1 2/3 equals 5/3.

Answer:  No

Step-by-step explanation:

If we were to change 1 2/3 into an improper fraction, it would be 5/3.  This is expressed as 5:3, not 3:5.  These two ratios are not the same.  Therefore, Jill is not correct.

Hope this helped :)

The inequality that represents the value of x is (b)  x > 80

from the question, we have the following parameters that can be used in our computation:

The figure

The general rule is that

The larger the side length, the larger the angle opposite it

using the above as a guide, we have the following:

1/8x > 10

So, we have

x > 80

Hence, the inequality is x > 80

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Answer:

15,360

Step-by-step explanation:

15 x 4 = 60 x 4 = 240 x 4 = 960 x 4 = 3,840 x 4 = 15,360

Answer:

Step-by-step explanation:

Solution

0.125125125

Cut . Thus after cut . Count numbers then we get there is 9 numbers so divide it in form of 0 like

Thus after cutting . we get

125125125

___________

1000000000

It is in p/q form

Answer:

\(\frac{125}{999}\)

Step-by-step explanation:

Create 2 equations with the repeating numbers 125 placed after the decimal point.

let x = 0.125125125 → (1) ← multiply both sides by 1000 )

1000x = 125.125125125 → (2)

Subtract (1) from (2), thus eliminating the repeating decimal

999x = 125 ( divide both sides by 999 )

x = \(\frac{125}{999}\) ← in the form \(\frac{p}{q}\)

The mean is 270.75 and the median is 271. While there is no single mode, then we conclude that our mode is 264 and 294 respectively.

By definition:

Mean is the sum of all the numbers in the set divided by the total number of numbers.

Median is the middle value in the set when the numbers are arranged in order.

Mode is the number that appears most frequently in the set.

If we re-arrange the data given in ascending order, we have:

264 264 267 269 273 276 294 297

To calculate Mean:

Add up all the numbers and divide by the total number of numbers:

Mean = (264 + 264 + 267 + 269 + 273 + 276 + 294 + 297) / 8

Mean = 270.75

To calculate Median:

We need to find the middle number in the set. Since there are 8 numbers in the set, the median is the average of the 4th and 5th numbers:

Median = (269 + 273) / 2

Median = 271

To calculate Mode:

We need to determine which number appears most frequently in the set. In this case, there are two numbers that appear twice (264 and 294), and the rest of the numbers appear only once. Therefore, there is no single mode for this data set.

Mode = 264 and 294

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Antonio needs to score at least 111 points in his next game to reach his goal of an average of at least 100 points per game.

What are basic arithmetic operations?

Basic arithmetic operations are fundamental mathematical calculations that involve manipulating numerical values using a set of basic operations.

To find out how many points Antonio needs to score in his next game to reach an average of at least 100 points per game, we can use the following formula:

Total points needed = (number of games + 1) × average score goal - total points scored so far

In this case, Antonio has played 5 games, so the number of games he will have played after his next game is 6. His goal is an average of 100 points per game, so his average score goal is 100. The total points he has scored so far is:

105 + 95 + 97 + 82 + 110 = 489

Substituting these values into the formula, we get:

Total points needed = (6) × (100) - 489

Total points needed = 600 - 489

Total points needed = 111

Hence, Antonio needs to score at least 111 points in his next game to reach his goal of an average of at least 100 points per game.

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Answer:

Solution given:

5,6,7,8,9,

When repeated:

it has

5 ways for each

different five digit members can be formed from the digits:5*5*5*5*5=3125

When not repeated:

it has

5 ways for 1st

4 ways for 2nd

3 ways for 3rd

2 ways for 4th

1 ways for 5th

different five digit members can be formed from the digits:5*4*3*2*1=120

Answer:

y = -x +2

Step-by-step explanation:

First let's find the slope.

(-1,3) and (4,-2)

3 - -2/ -1 - 4 = 5/-5 = -1

Slope = -1

Now let's use slope intercept form:

y1-y2=m(x1-x2)

Let's plug in our slope for m.

y1-y2= -1 (x1-x2)

And now let's substitute y2 and x2 for one of our points, I'll use (4,-2)

y1+2 = -1(x1- 4)

y= -x + 4 -2

y = -x +2

Answer: It's a 80% increase

Step-by-step explanation:

AE || BC

===》 DCB angle = DAE angle

AC /

__________________________________

Thus :

DCB angle = x

And also we know that the submission of interior angles of any triangle must equals to 180 degrees so :

In BCD triangle :

B + C + D = 180

x + x + D = 180

D = 180 - 2x

__________________________________

In the other hand we know that :

BDC angle + BDA angle = 180

because they make a straight line together so ;

180 - 2x + 50 = 180

- 2x = 180 - 230

- 2x = - 50

x = 25

And we're done...

Have a great time ♡

Answer:

$22.36

Step-by-step explanation:

The shirt that costs her $26 had the seller take 14 percent off the price.

So instead of paying 100% of the $26, payed 100-14 = 86% of the $26.

How much did she end up paying?

    % to $

100% is $26

 86% is $ x

Cross multiply to find x:

x= (86*26) /100 = $22.36

The value of p² is approximately 0.999999528.

To find the value of oe (the standard error of estimate) and p² (the coefficient of determination), we can use the given population data set information.

The formula for the standard error of estimate (oe) is:

oe = √((Σy² - (Σy)² / N) / (N - 2))

Substituting the given values, we have:

oe = √((135675 - (1456)² / 250) / (250 - 2))

oe = √((135675 - 2124736 / 250) / 248)

oe = √(541.96)

oe ≈ 23.27

Therefore, the value of oe is approximately 23.27.

The coefficient of determination (p²) can be calculated using the formula:

p² = 1 - (Σxy - (Σx × Σy) / N) / ((Σx² - (Σx)² / N) × (Σy² - (Σy)² / N))

Substituting the given values:

p² = 1 - (85080 - (9880 × 1456) / 250) / ((485870 - (9880)² / 250) × (135675 - (1456)² / 250))

p² = 1 - (85080 - 14358080 / 250) / ((485870 - 968144 / 250) × (135675 - 2124736 / 250))

p² = 1 - (85080 - 57432.32) / (478352.56 × 123346.74)

p² = 1 - (27647.68) / (59022875580.02)

p² ≈ 0.999999528

Therefore, the value of p² is approximately 0.999999528.

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Answer: 6, 6 feet

Step-by-step explanation:

Answer:45%

Step-by-step explanation:

\((2^{\frac{1}{2}})^n=\frac{2^x}{2^{3y}}\\2^{\frac{1}{2}n}=2^{x-3y}\\\frac{n}{2}=x-3y\\n=2x-6y\)

a)  The roots are ( 1 + √73 / 6 ) and ( 1 - √73 / 6 ) and both roots are real.

b)  The approximated values rounded to three decimal places are,

⇒ m = 1.591 and m = - 1.257

What is Quadratic function?

A polynomial function with one or more variable in which the highest power of variable is two are called Quadratic function.

The function is given as;

f (x) = 9m² - 3m - 18

Now, The m - intercept of the graph of the given function as;

To find m - intercept of the given function we can substitute f (x) = 0,

f (x) = 9m² - 3m - 18

9m² - 3m - 18 = 0

3 (3m² - m - 6) = 0

3m² - m - 6 = 0

Apply quadratic formula and find the roots of the function,

m = - (-1) ± √(-1)² - 4 * 3* (-6) /2*3

m = 1 ± √1 + 72 / 6

m = 1 ± √73 / 6

Hence, The roots are ( 1 + √73 / 6 ) and ( 1 - √73 / 6 ) .

So, The roots are real.

Now, Find the approximated values rounded to three decimal places as,

m = 1 + √73 / 6

m = 1 + 8.544 / 6

m = 9.544 / 6

m = 1.591

And, m =  1 - √73 / 6

m = 1 - 8.544 / 6

m = - 7.544 / 6

m = - 1.257

So,

a)  The roots are ( 1 + √73 / 6 ) and ( 1 - √73 / 6 ) and the roots are real.

b)  The approximated values rounded to three decimal places are,

⇒ m = 1.591 and m = - 1.257

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Answer:

The rate of trip 2 is 5 km/h

The time of trip 1 is 0.9-x

Step-by-step explanation:

The rate of trip 2 is 5 km/h because it tells you she walked at an avg speed of 5 km/h.

The time of trip 1 is 0.9-x. It's because the time in trip 2 is x, and it says the total is 0.9. So just subtract 0.9-x.

Also I took the test on edge and attached a pic.

The global maximum value of a differentiable function f(x) on a closed interval [a, b] must occur at a critical value or an endpoint is correct. Statement C.

The critical value is the value of x for which the double derivative of the function f(x) becomes zero.

When double derivative becomes zero, the graph of the function is neither increasing nor decreasing and hence, the the function attains either

a maxima or a minima.

Hence, he global maximum value of a differentiable function f(x) on a closed interval [a, b] must occur at a critical value or an endpoint.

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Answer:

1) \(\sqrt{53}(\cos286^\circ+i\sin286^\circ)\)

2) \(\displaystyle 5,-\frac{5}{2}+\frac{5\sqrt{3}}{2}i,-\frac{5}{2}-\frac{5\sqrt{3}}{2}i\)

Step-by-step explanation:

Problem 1

\(z=2-7i\\\\r=\sqrt{a^2+b^2}=\sqrt{2^2+(-7)^2}=\sqrt{4+49}=\sqrt{53}\\\\\theta=\tan^{-1}(\frac{y}{x})=\tan^{-1}(\frac{-7}{2})\approx-74^\circ=360^\circ-74^\circ=286^\circ\\\\z=r\,(\cos\theta+i\sin\theta)=\sqrt{53}(\cos286^\circ+i\sin 286^\circ)\)

Problem 2

\(\displaystyle z^\frac{1}{n}=r^\frac{1}{n}\biggr[\text{cis}\biggr(\frac{\theta+2k\pi}{n}\biggr)\biggr]\,\,\,\,\,\,\,k=0,1,2,3,\,...\,,n-1\\\\z^\frac{1}{3}=125^\frac{1}{3}\biggr[\text{cis}\biggr(\frac{0+2(2)\pi}{3}\biggr)\biggr]=5\,\text{cis}\biggr(\frac{4\pi}{3}\biggr)=5\biggr(-\frac{1}{2}-\frac{\sqrt{3}}{2}i\biggr)=-\frac{5}{2}-\frac{5\sqrt{3}}{2}i\)

\(\displaystyle z^\frac{1}{3}=125^\frac{1}{3}\biggr[\text{cis}\biggr(\frac{0+2(1)\pi}{3}\biggr)\biggr]=5\,\text{cis}\biggr(\frac{2\pi}{3}\biggr)=5\biggr(-\frac{1}{2}+\frac{\sqrt{3}}{2}i\biggr)=-\frac{5}{2}+\frac{5\sqrt{3}}{2}i\)

\(\displaystyle z^\frac{1}{3}=125^\frac{1}{3}\biggr[\text{cis}\biggr(\frac{0+2(0)\pi}{3}\biggr)\biggr]=5\,\text{cis}(0)=5(1+0i)=5\)

Note that \(\text{cis}\,\theta=\cos\theta+i\sin\theta\) and \(125=125(\cos0^\circ+i\sin0^\circ)\)

Answer:

Step-by-step explanation:

Formula = C = square root a2 + b2

C = square root (6)2 + (2)2

= 10

The denominator is zero (0/0 is undefined), we cannot determine the exact value of f(-3) using this equation.

To solve the given equations, we need to find the value of the function f(x) for specific values of x.

"If f(x) / (x - 2) = x³ + 2x - 4 + 13/(x - 2), what is f(2)?"

To find f(2), we can substitute x = 2 into the equation and solve for f(2).

Plugging in x = 2, we get:

f(2) / (2 - 2) = 2³ + 2(2) - 4 + 13/(2 - 2)

Since the denominator is zero (2 - 2 = 0), the equation is undefined. Therefore, there is no solution for f(2) in this case.

"If f(x) / (x + 3) = 3x² - 4x + 2, what is f(-3)?"

To find f(-3), we can substitute x = -3 into the equation and solve for f(-3).

Plugging in x = -3, we get:

f(-3) / (-3 + 3) = 3(-3)² - 4(-3) + 2

Simplifying, we have:

f(-3) / 0 = 3(9) + 12 + 2

f(-3) / 0 = 27 + 12 + 2

f(-3) / 0 = 41

Additional information or context is needed to solve for f(-3).

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Answer:

72°

Step-by-step explanation:

Given two vectors a and b, The vector i+3j will form a right angled triangle with the x-axis (i.e the horizontal axis).

The opposite side of the triangle on the Cartesian plane will be 3units along the y axis while the adjacent will be 1 unit along the x axis.

The angle between thus two vectors is expressed as tan (theta) = opp/adj

tantheta = 3/1

theta = tan^-1(3)

Theta = 71.57° ≈ 72° to nearest degree

Answer: 0.2

Step-by-step explanation: 20/100=1/5

and 1/5 equals 1 divided by five so it is 0.2

Answer:

Multiply by 5

Step-by-step explanation:

30 people in class and the recipe makes 6 bowls. 30/6= 5, so you need to multiply the recipe by 5 to make enough for each person to have one bowl of stew.

7.5 tablespoons of oil

5 small onions

10 cloves of garlic

7.5 lbs of caribou

12.5 cups of broth

12.5 cups of diced celery

12.5 cups of diced carrots

15 potatoes

2.5 teaspoons of salt

5 dashes of pepper

Answer:

120 = 15x + 45   5 hours of lessons

Step-by-step explanation:

120 is total money so that goes on one side.

45 is a one-time cost so it is on its own.

15 per hour is another cost but this one depends on a variable so it has an x.

X represents the number of hours.

You put this together to from the equation: 120 = 15x + 45.

Subtract 45 from both sides: 75 = 15x

Divide 15 from both sides: 5 = x.

X = hours so 5 hours

Answer:

y = 36

Step-by-step explanation:

given y varies directly  with x then the equation relating them is

y = kx ← k is the constant of variation

to find k use the condition when x = 5 , y = 15

15 = 5k ( divide both sides by 5 )

3 = k

y = 3x ← equation of variation

when x = 12 , then

y = 3 × 12 = 36

Answer:

1

  The  correct option is  C

2

 The  correct option is C

3

The  correct option is A

4

The  correct option is B

Step-by-step explanation:

From the question we are told that

    The  population mean is  \(\mu = 100\)

     The  standard deviation is  \(\sigma = 15\)

     The  sample size is  \(n = 36\)

     The  sample mean is  \(\= x = 105.1\)

Generally

    The  null hypothesis is  \(H_o: \mu = 100 \ hours\)

     The  alternative hypothesis is  \(H_a : \mu \ne 100\ hours\)

Given that the null hypothesis is  true then the  distribution of sample means  \(\mu_{\= x }\), from a sample size of 36 is  mathematically represented as

        \(\mu_{\= x } = \mu\)

=>     \(\mu_{\= x } = 100\)

According to the Central Limit Theorem the test stated in the question is  approximately normally distributed if the sample size is sufficiently large\((n > 30 )\) so given that the sample size is  large  n =  36

Then the test is normally distributed and hence the standard deviation is 15

Generally the standard error of mean is mathematically represented as

     \(\sigma_{\= x } = \frac{ \sigma }{\sqrt{n} }\)

=>  \(\sigma_{\= x } = \frac{15}{\sqrt{36} }\)

=>  \(\sigma_{\= x } = 2.5\)

Generally  the approximate probability of observing a sample mean of 105.1 or more is mathematically represented as

        \(P( \= X \ge 105.1 ) =1 - P(\= X < 105.1) = 1- P(\frac{\= X - \mu }{\sigma_{\= x }} <\frac{105.1 - 100}{2.5} )\)

=>    \(P( \= X \ge 105.1 ) =1 - P(\= X < 105.1) = 1- P(Z<2.04 )\)

From the z-table (reference calculator dot net )

             \(P(Z<2.04 ) = 0.97932\)

So

  \(P( \= X \ge 105.1 )= 1 - P(\= X < 105.1) = 1- 0.97932\)

 \(P( \= X \ge 105.1 ) =0.02\)    

a z-test for the proportional difference is the proper hypothesis test.

A hypothesis test can be used to find whether the deviation in proportions impacts the medication's effectivity. We may compare the secondary hypothesis—that the proportions are different—to the null hypothesis.

which states that the dimension of patients who show cut down blood pressure is the same for the two doses of the drug (50 mg and 100 mg).

Popular test statistics like the z-test can be applied to this hypothesis test and other statistical analyses.

\(z = (p1 - p2) / SE\)

where p1 and p2, for the 50 mg and 100 mg doses, respectively, are the sample proportions of patients who show fallen blood pressure, and SE is the standard error of the difference between the proportions.

the samples are assumed to be independent or dependent, impacts the SE formula. The samples in this instance are presumed to be independent because they came from various patients. Consequently, the equation for SE is:

\(SE = \sqrt(p1 \times (1 - p1)/n1 + p2 *\times(1 - p2)/n2)\)

here, the sample sizes for two doses is n1 and n2.

We can compute the z-test statistic based on the sample sizes and proportions and compare the result to a critical value or p-value to decide whether to accept or reject the null hypothesis.

Therefore, a z-test for the proportional difference is the proper hypothesis test.

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The equivalent expression for five eighths raised to the negative first power times forty-two hundredths raised to the second power is option B

(5/8)^-1 × (0.42)^2

= {1 ÷ (5/8)¹} × 0.42²

= {1 × (8/5)¹} × 0.42²

= (8/5)¹ × 0.42²

Therefore, the equivalent expression is eight fifths raised to the first power times the quantity one over forty-two hundredths raised to the second power

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Answer:

(1.6) (0.42)^2 C

Step-by-step explanation:

I had originally put B, but my teacher explained and said its C.

the first part of b is correct where it says 8/5, bc you need to flip it in order to not have a negative exponent (you cant have a negative exponent as an answer) but 0.42 is correct and iit does not need to be fliped, since there is no (8/5)(0.42)^2 option, you need to make the 8/5 into a decimal, it becomes 1.6 and so the answer is C

Answer:

I think 9 units is the correct answer

Answer:

its 15 units

Step-by-step explanation:

momma told me it was right