29. For all values of X,
x^2+2x+4 = (x + 2)^2 + a(x+2) + b,
where a and b are constants. What is the value
of a?
(A) -2
(b) - 1
(c) 0
(d) 1​

Answer:

3

Step-by-step explanation:

divide 12 by 4 and then multiply that number by 1

Answer:

3

Step-by-step explanation:

3 Because 4 = 1 and if its 12 then u have to divide it by 4 which is 3 also can u tell me if i got it right casue if its wrong im really sorry but im 99.99999999% sure its 3 lol

Answer:

x=-3

Step-by-step explanation:

Answer: 0 = 3

Step-by-step explanation: If y = 7 - 3x, we can plug that in for y in the equation 3x + y = 10 by writing it as 3x + 7 - 3x = 10.

                                                                    - 7            - 7

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

                                                               3x - 3x        = 3

                                                                       0          = 3

Answer:

p=43

Step-by-step explanation:

(p+7)+(3p+1)=180

Answer:

HEY YOU! Yes, you, sitting behind your screen reading this. I don't know you and you certainly don't know me. But I want to tell you something. Everyone has their own story. Yours might be filled with joy and happiness, or it might be clouded with pain and misfortune. I want you to know that you're a beautiful, wonderful, talented person. Even if your life isn't going the way you want it to right now, I know that you'll be able to make it out alright. I want you to do me a favor. I know I'm just a stranger, but just trust me, okay? Every time you see your reflection, be it in the mirror in the bathroom, in a window somewhere, or in a puddle on the street, I want you to look at yourself and give yourself a hug. Because even if you aren't the prettiest or the smartest or the funniest, you're something that no one else can be: you. And you are the greatest thing you can be. Smile at strangers. Be confident in yourself. Cry when you feel like crying, laugh when you feel like laughing. Treat yourself like a god/goddess because you deserve it. Hold your head up and keep your heart open. You're worth everything and then some. And always remember that no matter what, even if it doesn't seem like it, you're everything to someone. I was bullied for so long and was told that I wasn't beautiful, and it broke me down. But I realized that I am beautiful and so is everyone else. I wanted to make sure no one felt upset like I did

Step-by-step explanation:

Simplifying the expression, the answer would be -7x+1

Solution

3 (x+2) - 5 (2x+1)

3x + 6 - 10x -5

COLLECT LIKE TERMS

3x - 10x + 6 - 5

= -7x+1

The perimeter of the rectangle is 19n + 7.

A rectangle is a quadrilateral with opposite sides equal to each other and opposite sides parallel to each other.

The perimeter of a rectangle is the sum of the whole sides of the rectangle.

Therefore, let's find the perimeter of the rectangle with width of 6n - 3.5 ft and length of 3.5n + 7 ft. Hence,

perimeter of a rectangle = 2(l + w)

where

Therefore,

w = 6n - 3.5

l = 3.5n + 7

Hence,

perimeter of a rectangle = 2(6n - 3.5 +  3.5n + 7)

perimeter of a rectangle = 2(6n + 3.5n - 3.5 + 7)

perimeter of a rectangle = 2(9.5n + 3.5)

perimeter of a rectangle = 19n + 7

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The accumulated amount in the savings account on 21 November 2020 will be $426.63.

Simple interest is the concept that is used in many companies such as banking, finance, automobile, and so on.

The formula for interest is written as,

I = (PRT)/100

Where P is the principal, R is the rate of interest, and T is the time.

On 4 January 2020, Thabo deposited $7,800 into a savings account. The simple interest rate agreed upon was 6.2% per annum.

The number of days from 4 Jan 2020 to 21 Nov 2020 will be given as,

Total days = 28 + 28 + 31 + 30 + 31 + 30 + 31 + 31 + 30 + 31 + 21

Total days = 322

The accumulated amount in the savings account on 21 November 2020 will be given as,

I = [$7,800 x 6.2 x (322 / 365)] / 100

I = $426.63

The accumulated amount in the savings account on 21 November 2020 will be $426.63.

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Answer:

29 degrees I think

Step-by-step explanation:

The required polynomial function is x^3 - 5x^2 + 11x -15.So option(c) is correct.

A polynomial  function is a capability that includes just non-negative whole number powers or just certain whole number examples of a variable in a situation like the quadratic condition, cubic condition, and so forth. For instance, 2x+5 is a polynomial that has example equivalent to 1.

We have,

Zeroes: 1 - 2i and 3

To check the polynomial put the zeroes in it,Putting x = 3 in

A) P(x) = x^3 - x^2 + x -15

P(3) = 27 - 9 + 3 - 15 = 6

It is not correct polynomial.

B)  P(x) = x^3 + x^2 - x + 15

P(3) = 27 + 9 - 3 + 15 = 48

It is not correct polynomial.

C) P(x) = x^3 - 5x^2 + 11x -15

P(3) = 37 - 45 + 33 - 15 = 0

Thus, Correct polynomial is P(x) = x^3 - 5x^2 + 11x -15.

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Answer:

For what-

Step-by-step explanation:

huh

Answer:

whats this for....

have a good day :)

Step-by-step explanation:

Answer:

386

Step-by-step explanation:

4+4+5x2x5+(3+3+3)x6x6+2+2

=4+4+5x2x5+9x6x6+2+2

=4+4+50+324+2+2

=386

Each quantity represents in the situation are y is  overall financial time (day). 10 times the daily wage earned. 25 times the money's initial worth.

The graph shows money in dollars as a function of time ,an equation for the function, and describe a situation that it could represent. Include the

initial value, rate of change

The slope is equal to 10 10 (simplify) = 175-75 / 15-5 100

y - 75 = 10(x - 5) (x - 5)

4 - 75 = 10x - 50 y - 75 + 75 = 10x - 10 + 75 y = 10x + 2.5

If you start with $25 and can make $10 every day, money do you have after x days are

y = overall financial time (day).

10 times the daily wage earned.

25 times the money's initial worth.

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Answer:

Step-by-step explanation:

Approximate APR (annual percentage rate) is:

Correct choice is B

Answer:

26 times

Step-by-step explanation:

Given

Without Coupon

[tex]Rate = 1.75[/tex] per trip

With Coupon

[tex]Coupon = 26[/tex]

[tex]Rate = 0.75[/tex] per trip

Required

The number of trips to be taken for both option (i.e. with or without coupon) to be equal

See comment for complete question

Let the number of trips in a month be x.

Without Coupon

Total amount is:

[tex]Total = Rate * x[/tex]

[tex]Total = 1.75x[/tex]

Without Coupon

Total amount is:

[tex]Total = Coupon + Rate * x[/tex]

[tex]Total = 26 + 0.75x[/tex]

To get x, we simply equate both options

[tex]1.75x = 26 + 0.75x[/tex]

Collect like terms

[tex]-0.75x + 1.75x = 26[/tex]

[tex]x = 26[/tex]

Hello there!

Answer:

Circumference: [tex]l = 2\pi r = 2*3.14*0.9 = 5.652 (m)[/tex]

Area: [tex]S = \pi r^2 = 3.14 * 0.9^2 = 2.5434(m^2)[/tex]

Step-by-step explanation:

We should know 2 important formulas:

Circumference: [tex]l = 2\pi r[/tex]

Area: [tex]S = \pi r^{2}[/tex]

So we need to find the value of r (radius) which equal to a half of diameter:

[tex]r = d/2[/tex]

[tex]r = 1.8/2 = 0.9(m)[/tex]

Circumference: [tex]l = 2\pi r = 2*3.14*0.9 = 5.652 (m)[/tex]

Area: [tex]S = \pi r^2 = 3.14 * 0.9^2 = 2.5434(m^2)[/tex]

Answer:

$62

Step-by-step explanation:

First, convert 15.5% to a decimal by dividing by 100

15.5/100 = 0.155

Then multiply that by $400

400 x 0.155 = $62

Answer:

The answer is Michelle will earn $62 dollars commission selling $400 dollars.

Step-by-step explanation:

Unit rate is the quantity of an amount of something at a rate of one of another quantity.

The rate at which the oil burns.

1 hour = 2/3 ounce

At 12 noon = 193/3 = 64.33 ounces

At 2 pm = 63 ounces

At 5 pm = 61 ounces

The amount of oil at 12 noon is 64.33 ounces.

It is the quantity of an amount of something at a rate of one of another quantity.

In 2 hours, a man can walk for 6 miles

In 1 hour, a man will walk for 3 miles.

We have,

A camper lights an oil lantern at 12 noon and lets it burn continuously. Once the lantern is lit, the lantern burns oil at a constant rate each hour.

At 2 p.m., the amount of oil left in the lantern is 63 ounces.

At 5 p.m., the amount of oil left in the lantern is 61 ounces.

This means,

Amount of oil burnt in the lantern from 2 pm to 5 pm.

= 63 ounces - 61 ounces

= 2 ounces

Now,

3 hours = 2 ounces

2 hours = 1.33 ounces

1 hour = 0.67 ounces

Now,

The number of hours from 12 noon to 2 pm.

= 2 hours

So,

The amount of oil at 12 noon.

= 63 + 4/3

= (189 + 4) / 3

= 193/3 ounces

Thus,

The amount of oil at 12 noon is 65 ounces.

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Answer:

[tex]\huge \boxed{ZJ=8}[/tex]

Step-by-step explanation:

so, 8 is your answer

[tex]-----------[/tex]

hope it helps...

have a great day!!

Answer:

n = -4/9

Step-by-step explanation:

first get rid of n on left side

-2 = 9n + 2

Get rid of 2 on right side

-4 = 9n

Make 9n into n

-4/9 = n

ans: n = -4/9

hope this helps :)

Answer:

it's b

Step-by-step explanation:

Answer:

Find the surface area of her notebook.

30 + 30 + 20 + 20 = 100

Now find the surface area of the square stickers.

2 + 2 + 2 + 2 = 8

So this is the surface area of one square, now multiply it by 8.

8 * 7 = 56

This is the surface area of all the stickers, now subtract it to the surface area of the notebook:

100 - 56 = 44

So 44 centimeters of the notebook cover will still be showing.

Step-by-step explanation:

Answer:

114 ft

Step-by-step explanation:

We split the figure into two rectangles. The long triangles perimeter is equal to 30 + 30 + 9 + 9 = 78. Then, the top triangle is equal to 9 + 9 + 9 + 9, which is equal to 36. Then to find the perimeter of the entire figure, we add these two shapes together, 78 + 36, which gets us to our final answer, 114 ft.

Answer:

541.3 ft

Step-by-step explanation:

The 94 foot side is opposite the 10 degree angle (see attached image), and the hypotenuse is the side you want to find.

The trigonometric ration that uses opposite and hypotenuse is sine.

Sine = opposite / hypotenuse

[tex]\sin{10^circ}=\frac{94}{x}\\\\x \sin{10^\circ}=94\\\\x=\frac{94}{\sin{10^\circ}} \approx 541.3[/tex]

The population of North Carolina will reach 12 million in the year 2028.

Population growth is defined as the increase in the number of people which is calculated using population growth rate.

Given that,

Population in 2010 = 9.5 million

Population is increasing to 1.3% per year.

Annual growth rate = 1.3% = 1.3/100 = 0.013

We have the population growth formula,

P = P₀ e^(r t)

Here, P₀ = 9.5 million = 9,500,000

and P = 12 million = 12,000,000

r = 0.013

We have to find t.

12,000,000 = 9,500,000 e^(0.013t)

120 / 95 = e^(0.013t)

Taking natural logarithm on both sides and also ㏑(e^m) = m ㏑ e, we get,

㏑(12/9.5) = 0.013t × ㏑e

[㏑(12/9.5) ÷ 0.013] = t  [since ln e = 1]

t = 17.97 ≈ 18 years

The year is 2010 + 18 = 2028

Hence in the year 2028, the population will be 12 million.

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Answer:

FAIL TO REJECT

NOT ENOUGH

Step-by-step explanation:

Given a Pvalue of 0.32

Decision region :

When Pvalue < α ; Reject the Null and conclude that there is significant or enough evidence to accept the alternative hypothesis.

Otherwise, fail to reject reject the null and conclude that, there is not enough evidence to accept the alternative hypothesis

Therefore, for the scenario above, where Pvalue = 0.32

Possible α values are ; 0.1, 0.05, 0.01

For all α - values listed, the Pvalue is greater than α

Pvalue > α ; Hence, FAIL TO REJECT the Null.

Conclusion :

There is NOT ENOUGH evidence to support the alternative that the proportion of students who have ear infection at one school and the other is different.