Identify the graph and describe the solution set of this system
of inequalities.
y<-3x-2
y> -3x+ 8

Answer:

x ≈ 21.36

Step-by-step explanation:

sin31 = 11/x

xsin31 = 11

x = 11/sin31 ≈ 21.36

Answer:

D) -2

Step-by-step explanation:

Slope = -3

(1, -9)

y - y1 = m(x - x1)

y + 9 = -3(x - 1)

y + 9 = -3x + 3

y = -3x - 6

y = -3x - 6

0 = -3x - 6

6 = -3x

x = -2

Answer:

Step-by-step explanation:

the quadratic equation standard form is

therefore we get

-------------------------------

since we got D>0

therefore

the quadratic equation has 2 real solutions

Answer:I think that it would be either b or c

Step-by-step explanation:

Answer:

The condensed log equation is: [tex]\log{\frac{x^4y}{z^5}}[/tex]

Step-by-step explanation:

We use these following logarithm properties to solve this question:

[tex]a\log{x} = \log{x^a}[/tex]

[tex]\log{a} + \log{b} = \log{ab}[/tex]

[tex]\log{a} - \log{b} = \log{\frac{a}{b}}[/tex]

In this question:

[tex]4\log{x} = \log{x^4}[/tex]

[tex]5\log{5} = \log{z^5}[/tex]

So

[tex]4\log{x} + \log{y} - 5\log{z}[/tex]

Becomes:

[tex]\log{x^4} + \log{y} - \log{z^5}[/tex]

Now applying the addition and subtraction properties, we have:

[tex]\log{\frac{x^4y}{z^5}}[/tex]

The condensed log equation is: [tex]\log{\frac{x^4y}{z^5}}[/tex]

Answer: it should be 22 1/2 :)

Answer:

it's F.

Step-by-step explanation:

i used my calculator. just trust me

Answer:

16.75

Step-by-step explanation:

20/60=x/360

x=120 degree angle

120/360=x/2pi8

1/3=x/16pi

16pi/3=x

x=16.75 arc length

Answer:

C

Step-by-step explanation:

Trust me, take the square root of 24, which divides into 2 x 2 x 2 x 3, and you pull a pair of 2 out, left inside a 6

Answer:

Step-by-step explanation:

Answer:

25 meters

Step-by-step explanation:

500/20 =  25

25 meters

Hope that helps!

Answer:

10,000 meters

Step-by-step explanation:

20*500=10,000

Answer:

227.08in^2

You want to find the surface area for this problem. SA=2lw+2lh+2hw

Step-by-step explanation:

L=2.5

W=7.4

H=9.6

SA=2lw+2lh+2hw

SA=2(2.5x7.4)+2(2.5x9.6)+2(9.6x7.4)

SA=37+142.08+48

SA=227.08in^2

Answer: A

Step-by-step explanation:

Answer:

yeah is A

Step-by-step explanation:

Answer:

60.2 grams is remaining after 7 minutes.

Step-by-step explanation:

Exponential equation for amount of substance:

The exponential equation for the amount of a substance is given by:

[tex]A(t) = A(0)(1-r)^t[/tex]

In which A(0) is the initial amount and r is the decay rate, as a decimal, and t is the time measure.

An element with mass 510 grams decays by 26.3% per minute.

This means that [tex]A(0) = 510, r = 0.263[/tex]

So

[tex]A(t) = A(0)(1-r)^t[/tex]

[tex]A(t) = 510(1-0.263)^t[/tex]

[tex]A(t) = 510(0.737)^t[/tex]

How much of the element is remaining after 7 minutes?

This is A(7). So

[tex]A(7) = 510(0.737)^7 = 60.2[/tex]

60.2 grams is remaining after 7 minutes.

Answer:

08255555/10000000 this is the answer

Answer:

0.8255555 = [tex]\frac{33}{40}[/tex]

Step-by-step explanation:

Showing the work

Rewrite the decimal number as a fraction with 1 in the denominator

0.825 = [tex]\frac{0.825}{1}[/tex]

Multiply to remove 3 decimal places. Here, you multiply top and bottom by 103 = 1000

[tex]\frac{0.825}{1}[/tex] × [tex]\frac{1000}{1000}[/tex] = [tex]\frac{825}{1000}[/tex]

Find the Greatest Common Factor (GCF) of 825 and 1000, if it exists, and reduce the fraction by dividing both numerator and denominator by GCF = 25,

[tex]\frac{825/25}{1000/25}[/tex] = [tex]\frac{33}{40}[/tex]

Therefore

X= [tex]\frac{33}{40}[/tex]

In conclusion,

0.825555 = [tex]\frac{33}{40}[/tex]

Hope it helps

Please mark me as the brainliest

Thank you

9514 1404 393

Answer:

  1. area DEF = 2π cm²

  2. arc JK = 2π cm

Step-by-step explanation:

1. The area is given by ...

  A = 1/2r²θ . . . . . where r is the radius and θ is the central angle in radians

Your sector has an area of ...

  A = (1/2)(3 cm)²(80(π/180)) = (1/2)(9 cm²)(4/9π)

  A = 2π cm²

__

2. The length of an arc is ...

  s = rθ . . . . . . . where r is the radius and θ is the central angle in radians

  s = (5 cm)(72(π/180)) = (5 cm)(2/5π)

  s = 2π cm . . . arc length

_____

Additional comment

There are π radians in 180°, so an angle in degrees can be converted to an angle in radians by multiplying by π/180°. (The units of degrees cancel, leaving a pure number. "Radians" have no units.)

Answer:

5 pennies

7 nickels

19 dimes

$2.3

Step-by-step explanation:

first i like to find 1%

50/100=1%

50/100=0.5

then multiply to find %'s

0.5x10=pennies

0.5x10=5

0.5x38=dimes

0.5x38=19

since there are 2 more nickels than pennies there are 7 nickels since there are 5 pennies

then find each value and add

5x.01+7x.05+19x.10

0.05+0.35+1.9=$2.3

Answer:

Step-by-step explanation:

the consecutive numbers can be represented by (n-1), n, and (n+1), where n is an integer.

(n-1) + n + (n+1) = 201

3n = 201

n = 67

66, 67, 68

17.5 mark brainlist plssssssssssssss

Answer:

∠2 = 150°, it is a supplementary angle to 30°

∠3 = 30°, it is an alternate angle to 30°

∠4 = 150°, it is a supplementary angle to 30°

∠5 = 30°, it is an alternate angle to 30°

∠6 = 150°, it is a supplementary angle to 30°

∠7 = 30°, it is an alternate angle to 30°

∠8 = 150°, it is a supplementary angle to 30°

Answer:

if any number power of 0 is 1

so, (4)^0 =1

if any number power of -1 is equal to one divide this number.

like;

a^(-1) = 1/a

Therefore,

2^(-3) = 2^(-1) x  2^(-1) x  2^(-1)

         = 1/2 x   1/2 x   1/2

Hence solution of 2^(-3). (4) ^0 is,

1/2 x   1/2 x   1/2 x 1

Step-by-step explanation:

Answer:

y = x - 8

Step-by-step explanation:

y = mx + b

M is your slope, 1. 1x can be rewritten as x.

Your Y intercept is B, therefore -8.

y = x - 8. When you plug in the numbers.

Answer:

567

Step-by-step explanation:

Please mark brainliest

Answer:

567

Step-by-step explanation:

Answer:

[tex]\displaystyle t = \frac{2 \pi}{3}, \ \frac{4 \pi}{3}[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Algebra I

Pre-Calculus

Calculus

Derivatives

Derivative Notation

The definition of a derivative is the slope of the tangent line

Basic Power Rule:

Derivative Property [Addition/Subtraction]:                                                          [tex]\displaystyle \frac{d}{dx}[f(x) + g(x)] = \frac{d}{dx}[f(x)] + \frac{d}{dx}[g(x)][/tex]

Derivative Property [Multiplied Constant]:                                                            [tex]\displaystyle \frac{d}{dx} [cf(x)] = c \cdot f'(x)[/tex]

Trig Derivative:                                                                                                        [tex]\displaystyle \frac{d}{dx}[sinu] = u'cosu[/tex]

Step-by-step explanation:

Step 1: Define

[Given] q(t) = t + 2sint

[Given] Interval [0, 2π]

[Solve] q'(t) = 0

Step 2: Differentiate

Step 3: Solve

Topic: AP Calculus AB/BC (Calculus I/II)

Unit: Derivatives

Book: College Calculus 10e

Answer:

20 visits.

Step-by-step explanation:

Fitness Universe has a 1 time payment of $50, and each visit will cost $5.50

Non-members pay $8 per visit. Let each visit be signified by the variable, v. Set the equation:

5.50v + 50 = 8v

Isolate the variable, v. Note the equal sign, what you do to one side, you do to the other. Subtract 5.50v from both sides:

5.50v (-5.50v) + 50 = 8v (-5.50v)

50 = 8v - 5.50v

50 = 2.50v

Isolate the variable, v. Divide 2.50 from both sides:

(50)/2.50 = (2.50v)/2.50

v = 50/2.50

v = 20

Stuart must visit 20 times to break even, in which it will become cheaper after the 20th visit.

3 + 2 + 1 = 6

270 ÷ 6 = 45

45 × 3 = 135

45 × 2 = 90

45 × 1 = 45

3 : 2 : 1

135 : 90 : 45

Step-by-step explanation:

We start by stating the null hypothesis

H0: p1 = p2

No difference is existent

H1: p2 not equal to p2

There is a difference

We find the z statistic using microsoft excel or using the formula in the attachment

= -1.68

From the normal table, p value = 0.099

The p value is greater than 0.05 so we fail to reject the null hypothesis and conclude there is no difference

B. If answer in part a is incorrect then we have made a type ii error. A type 2 error occurs when we accept a false null hypothesis.

Answer:

11.78

Step-by-step explanation: