which equation is equivalent to 8+2(x-1)=5

Answer:

5 cups

Step-by-step explanation:

sammy + 4 friends = 5 people

21/5 = 4.2

we rounded it off to 5 cups.

9514 1404 393

Answer:

  dy/dx = 2x +1

Step-by-step explanation:

The power rule can be used.

  d/dx(x^n) = n·x^(n-1)

Then the derivative of x² is 2x¹ = 2x, and the derivative of x = 1x⁰ = 1.

The derivative of the function is ...

  dy/dx = 2x +1

Answer: Choice A) M = 0.25n + 100

=============================================================

Explanation:

For now, I'll treat n as x, and M as y.

In other words,

Let's select two points from this graph. I'll pick (200,150) and (400,200)

The slope of the line through those points is

m = (y2-y1)/(x2-x1)

m = (200-150)/(400-200)

m = 50/200

m = 0.25

Now we'll use the point (x,y) = (200,150) along with that slope value to find the y intercept b

y = mx+b

150 = 0.25*200+b

150 = 50+b

150-50 = b

100 = b

b = 100

You could also use (x,y) = (400,200) and you should get the same b value.

In fact, any other point from this graph works as well.

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

Since m = 0.25 and b = 100, we go from y = mx+b to y = 0.25x+100

This then translates over to M = 0.25n + 100 which is choice A

To help verify this, let's say we plugged in n = 100

M = 0.25*n + 100

M = 0.25*100 + 100

M = 25 + 100

M = 125

Which is confirmed by what the graph shows. I'll let you check the other points as well.

Answer:

arcsin0.616

Step-by-step explanation:

arcsino.616

Answer:

Option B, 15.6

Step-by-step explanation:

Using the Pythagoras theorem,

√(11²+11²)

= √(121+121)

= √(2×121)

= √121×√2

= 11√2

= 15.6

Answered by GAUTHMATH

Option B - 15.6 is Correct.

We have a figure in which a right angled triangle is shown with it base (b) = 11 and perpendicular(p) = 11.

We have to find the value of c or hypotenuse (h).

According to the Pythagoras theorem : for a right angled triangle -

[tex](h)^{2} = (b)^{2} +(p)^{2}[/tex]

According to the question -

[tex]b =11\\p =11\\h=c[/tex]

Substituting the values, we get -

[tex]c^{2} = (11)^{2} + (11)^{2} \\c^{2} = 121 + 121\\c^{2} =242\\c=15.55[/tex]

Rounding to nearest 10, we get -

c = 15.6

Hence , Option B is correct.

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The sum of resistors arranged in parallel is the inverse of the sum of the inverses of the magnitudes of the individual resistances

The correct option for the resistance of the second light bulb in ohms (Ω) is option B;

B. 240

The reason why option B is the correct answer is s follows:

Known parameters:

Based on a online search, the question appears to have some parts missing which can be as follows;

The resistance of the first light bulb = 120 Ω

Janine's model of the total resistance of the circuit, [tex]t = \mathbf {\dfrac{120 \cdot r }{r + 120} }[/tex]

Where;

r = The resistance of the second light bulb

The unknown parameter:

Resistance of the second light bulb

Method:

Find r using Janine's  model of the total resistance, which is the equation of total resistances in parallel arrangement

The inverse relationship modelling the sum, t, of resistances, r, and 120, arranged in parallel, presented as follows;

[tex]\mathbf {\dfrac{1}{t} } =\dfrac{1}{120} + \dfrac{1}{r}[/tex]

∴ [tex]\mathbf {\dfrac{1}{t}} = \dfrac{r + 120 }{120 \cdot r}[/tex]

Therefore, by finding the inverse of both sides of the above equation, we get Janine's model as follows;

[tex]t = \mathbf {\dfrac{120 \cdot r }{r + 120} }[/tex]

The above equation is the inverse equation modelling the total resistance of the parallel arrangement of the resistances in the lightbulb

The question details include:

The total resistance in her circuit, t = 80 Ω

Solution:

Plugging in t = 80 in [tex]t = \mathbf {\dfrac{120 \cdot r }{r + 120} }[/tex], gives;

[tex]80 = \mathbf {\dfrac{120 \cdot r }{r + 120} }[/tex]

Therefore, we get;

80·(r + 120) = 120·r

80·r + 80 × 120 = 120·r

∴ 120·r - 80·r = 80 × 120 = 9,600

120·r - 80·r = 40·r

∴ 40·r = 9,600

r = 9,600/40 = 240

The resistance of the second light bulb, r = 240 Ω

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Answer:240

Step-by-step explanation:

i watched the walk through

Answer:

Rational number

Step-by-step explanation:

Given

[tex]5\frac{3}{8}[/tex]

Required

The subset it belongs to

Express as improper fraction

[tex]5\frac{3}{8} = \frac{43}{8}[/tex]

The above number is rational because it is represented by the division of 2 integers, i.e. 43 and 8 are integers

Express as decimals

[tex]5\frac{3}{8} = 5.375[/tex]

The above number cannot be classified as integers or whole because it has decimal parts

Answer:

The sign would remain the same.

It would have the same value.

ED2021

Answer: b&c

The sign would remain the same.

It would have the same value.

Answer:

18c^3d^9

Step-by-step explanation:

2c^3 d^2 * 9d^7

We know that  we add the exponents when the base is the same

2*9  c^3 d^(2+7)

18c^3d^9

Answer:

The only limitation is x≠0

The interval notation is (-∞,0)∪(0,∞)

Step-by-step explanation:

Set up the expression.

[tex](x+7)*(\frac{1}{x}-13)[/tex]

Multiply using FOIL.

[tex](x*\frac{1}{x})+(x*-13)+(7*\frac{1}{x})+(7*-13)[/tex]

[tex]1-13x+\frac{7}{x}-91[/tex]

[tex]-13x+\frac{7}{x}-91[/tex]

Find the Domain.

The only limitation is x≠0

The interval notation is (-∞,0)∪(0,∞)

Answer:

"She's really angry; she ordered the product last Wednesday, Don in customer  service said it would arrive a week later. It was a dollhouse for her niece, Can you take it from here?" is the best option

Step-by-step explanation:

9514 1404 393

Answer:

Step-by-step explanation:

The equations can be written in factored form and vertex form to see the x-intercepts, axis of symmetry, and extreme value.

The y-intercept is the constant in the equation in standard form.

The axis of symmetry is the vertical line through the vertex.

__

f(x) = x² -2x -8 = (x -4)(x +2) = (x -1)² -9

  x-intercept (-2, 0), y-intercept (0, -8), axis of symmetry x = 1

__

g(x) = x² +6x +8 = (x +2)(x +4) = (x +3)² -1

  x-intercept (-2, 0), y-intercept (0, 8), minimum value -1

__

h(x) = -x² +2x = -(x)(x -2) = -(x -1)² +1

  axis of symmetry x = 1

_____

Additional comment

We have only listed the intercepts, axis, and extreme where the values match a label.

Find the sale price by multiplying the original price by 70% then add the two prices together to get the total.

799 x 0.70 = 559.30

549 x 0.70 = 384.30

Total: 559.30 + 384.30 = $943.60

Answer: B. p = 3n-600

Step-by-step explanation:

Profit(p) = Earned - Cost

p = 5n - (2n + 600) = 5n - 2n - 600 = 3n - 600

The equation representing the profit function of the newsstand is

p = 3n - 600

Option B is the correct answer.

A function has an input and an output.

A function can be one-to-one or onto one.

It simply indicated the relationships between the input and the output.

Example:

f(x) = 2x + 1

f(1) = 2 + 1 = 3

f(2) = 2 x 2 + 1 = 4 + 1 = 5

The outputs of the functions are 3 and 5

The inputs of the function are 1 and 2.

We have,

The revenue generated by selling n magazines is 5n dollars.

The cost of selling n magazines is the sum of the cost of purchasing n magazines and the fixed cost of rent and electricity, which is $2n + $600.

Now,

The profit function can be represented by:

p = revenue - cost

= 5n - (2n + 600)

= 3n - 600

Thus,

The equation representing the profit function of the newsstand is

p = 3n - 600

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Answer:

can you say again please

Answer:

a) 0.55 = 55% probability that the person is traveling on business

b) 0.14 = 14% probability that the person is traveling for business on a privately owned plane.

c) 0.2545 = 25.45% probability that the person arrived on a privately owned plane, given that the person is traveling for business reasons.

d) 0.2 = 20% probability that the person is traveling on business, given that the person is flying on a commercially owned plane.

Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]

In which

P(B|A) is the probability of event B happening, given that A happened.

[tex]P(A \cap B)[/tex] is the probability of both A and B happening.

P(A) is the probability of A happening.

Question a:

50% of 60%(major airlines)

70% of 20%(privately owned airplanes)

80% of 100 - (60+20) = 20%(comercially owned airplanes). So

[tex]p = 0.5*0.5 + 0.7*0.2 + 0.8*0.2 = 0.55[/tex]

0.55 = 55% probability that the person is traveling on business.

Question b:

70% of 20%, so:

[tex]p = 0.7*0.2 = 0.14[/tex]

0.14 = 14% probability that the person is traveling for business on a privately owned plane.

Question c:

Event A: Traveling for business reasons.

Event B: Privately owned plane.

0.55 = 55% probability that the person is traveling on business.

This means that [tex]P(A) = 0.55[/tex]

0.14 = 14% probability that the person is traveling for business on a privately owned plane.

This means that [tex]P(A \cap B) = 0.14[/tex]

Desired probability:

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.14}{0.55} = 0.2545[/tex]

0.2545 = 25.45% probability that the person arrived on a privately owned plane, given that the person is traveling for business reasons.

Question d:

Event A: Commercially owned plane.

Event B: Business

80% of those arriving on other commercially owned planes are traveling for business reasons.

This means that:

[tex]P(B|A) = 0.2[/tex]

0.2 = 20% probability that the person is traveling on business, given that the person is flying on a commercially owned plane.

Answer:

It will be 31.4 cm rounded off for circumference

It will be 78.53 cm2 rounded off for area

Step-by-step explanation:

Diameter = 10 cm

Radius = 10/2 cm = 5 cm

Circumference = 2×pi×radius

= 2pi×5

= 31.4 cm

Area = pi × r square

= 25 pi

= 78.53cm2

Answer:

9

Step-by-step explanation:

b = Brandon

4b=b+27

-b   -b

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

3b = 27

----   ----

3      3

b = 9

Brandon is 9 years old.

The partial fraction expansion takes the form

-6x/((x + 2) (x + 8)) = a/(x + 2) + b/(x + 8)

Both factors in the denominator are linear, so the numerators in the corresponding partial fractions have degree 1 - 1 = 0 and are thus constants.

Combine the fractions on the right side into one with a common denominator, then set the numerators on both sides of the equation equal to each other:

-6x = a (x + 8) + b (x + 2)

Expand the right side and collect terms by powers of x :

-6x = (a + b) x + (8a + 2b)

It follows that

a + b = -6   and   8a + 2b = 0

==>   a = -2   and   b = 8

So we end up with

-6x/((x + 2) (x + 8)) = -2/(x + 2) + 8/(x + 8)

Answer:

a. The average daily amount of time an adult spends on the internet is different than 4.5 hours.

Step-by-step explanation:

An internet provider states that, on average, the daily amount of time an adult spends on the internet is 4.5 hours.

At the null hypothesis, it is claimed that the mean is of 4.5 hours, that is:

[tex]H_0: \mu = 4.5[/tex]

A sociologist studying the behaviors of internet consumers believes the average daily amount an adult spends on the internet is different than the amount stated by the internet provider.

At the alternative hypothesis, the sociologist claim, is that the mean is different of 4.5, that is:

[tex]H_1: \mu \neq 4.5[/tex]

Thus, the correct answer is given by option a.

Answer:

A. Increase the level of confidence

Step-by-step explanation:

The margin of error is given by:

The margin of error is:

[tex]M = \frac{Ts}{\sqrt{n}}[/tex]

In which T is related to the level of confidence(the higher the level of confidence, the higher T is), s is the standard deviation of the sample and n is the size of the sample.

Increase the width:

That is, increasing the margin of error, as the width is twice the margin of error, the possible options are:

Increase T -> increase confidence level.

Increase s -> Increase the standard deviation of the sample.

Decrease n -> Decrease the sample size.

Thus, the correct answer is given by option A.

Answer:

-0.56

Step-by-step explanation:

9514 1404 393

Answer:

Step-by-step explanation:

1a. Vertical angles share a vertex and are composed of opposite rays. Here, angles 2 and 4 are vertical angles.

1b. Consecutively numbered angles are adjacent, as are angles 1 and 5. The pairs of interest can be chosen from ...

  1&2, 2&3, 3&4, 4&5, 5&1

__

2. Angles 1 and 3 have the same measure, because they are vertical angles. Then we have ...

  78° = (5x -2)°

  80 = 5x . . . . . . . divide by °, add 2

  16 = x . . . . . . . divide by 5

Answer:

( 0.742, 0.849 )

Step-by-step explanation:

sample size = 220

number of voters with positive response ( i.e. number of voters who believe the government is doing right )  = 175

Calculate the 95% confidence interval

P = 175 / 220 = 0.796

the 95% confidence interval = ( 0.796 ± 0.054 )

attached below is the detailed solution

100 = 10², so the sum you're considering is the sum of squared integers starting with 10.

[tex]\displaystyle 100+121+144+168+\cdots+n^2+\cdots = \boxed{\sum_{k=10}^\infty k^2}[/tex]

Answer:

12.04

Step-by-step explanation:

Find the number in the hundredth place  4  and look one place to the right for the rounding digit  1 . Round up if this number is greater than or equal to  5  and round down if it is less than  5 .

Let x and y be the required amounts of the 35% and 60% acid solutions, respectively.

x liters of 35% acid solution contains 0.35x L of acid.

y liters of 80% acid solution contains 0.80y L of acid.

Together, a combined (x + y) L of mixed solutions contains (0.35x + 0.80y) L of acid.

You want to end up with 60 L of 65% acid solution, which means

x + y = 60

0.35x + 0.80y = 0.65 × 60 = 39

Solve for x and y :

y = 60 - x

0.35x + 0.80 (60 - x) = 39

0.35x + 48 - 0.80x = 39

0.45x = 9

x = 20

y = 40

Answer:

u^2- 18u +81 = (u-9)^2

Step-by-step explanation:

u^2- 18u +

Take the u coefficient

-18

Divide by 2

-18/2 = -9

Square it

(-9)^2 = 81

u^2- 18u +81 = (u-9)^2

Answer:

The blank should contain 81

Step-by-step explanation:

E = u^2 - 18u + (-18/2)^2

E = (u^2 - 18u + 9^2)

E = (u - 9)^2

To be perfectly correct what you have there is a perfect square, but you need to subtract out (9/2)^2 to make it a valid statement.

E = (u - 9)^2 - 81