2.9.PS-13
Think About the Process What should you do first to graph the equation?
Graph the equation.
1
y = 3x-3
What should you do first to graph the equation?
O A. Plot a point at the slope,
O B. Plot a point at the y-intercept.
O C. Plot a point at the x-intercept.
OD. Plot the point (0,0).
-10
8
-6
W

Answer:

[tex]\huge\boxed{3a^2(a^3-6a+2)}[/tex]

Step-by-step explanation:

[tex]\sf 3a^5-18a^3+6a^2\\\\HCF = 3a^2\\\\Take \ 3a^2 \ common\\\\= 3a^2(a^3-6a+2)\\\\\rule[225]{225}{2}[/tex]

Hope this helped!

Finding the Decay constant(λ):

λ = 0.693 / (half-life)

we are given that the half-life is 36 hours

λ = 0.693 / (36)

λ = 0.01925 /hour

Time taken for 87% decay:

Since decay is first-order, we will use the formula:

[tex]t = \frac{2.303}{decay constant}log(\frac{A_0}{A} )[/tex]

Where A₀ is the initial amount and A is the final amount

Let the initial amount be 100 mg,

the final amount will be 87% of 100

Final amount = 100*87/100 = 87 mg

Replacing the values in the equation:

[tex]t = \frac{2.303}{0.01925}log(\frac{100}{87} )[/tex]

[tex]t = \frac{2.303}{0.01925}*0.06[/tex]

t = 7.18 hours

We used 'hours' as the unit because the unit of the decay constant is '/hour'

Therefore, the drug will decay to 87% of initial dosage after 7.18 hours

Step-by-step explanation:

n = 52

x bar = 122.31

standard deviation sd = 38.75

1. the hypothesis:

null hypothesis

h0: μ ≤ 35

alternative hypothesis

h1: μ > 35

2.

we have been given the sd of the sample but not that of the population. so what we are supposed to use here is the t test and not the z test. the following conditions have to be met.

3.

= [tex]\frac{122.31-35}{38.75/\sqrt{52} }[/tex]

= 87.31/5.37

= 16.26

using the T distribution function in excel, the p value was calculated and found to be approximately equal to 0.

TDIST(16.26, 51, 1)

since p value is very small we reject the null and accept the alternate hypothesis.

4. from the result above the answer to this question is yes

Answer:

9\sqrt{2}

Step-by-step explanation:

this is a 30-60-90 triangle so

the side opposite of 30 is x and the opposite side of 60 is x[tex]\sqrt{2}[/tex]. then the side opposite 90 is 2x.

so if 9=x then a=x\sqrt{2}

9\sqrt{2} is the side length of a

Hope that helps :)

Answer:

60

Step-by-step explanation:

Goes down by ten everytime.

Answer: 60

Step-by-step explanation:

You are taking away 10 each time.

Answer:

increase

Step-by-step explanation:

11.61 was added to 27

Answer:

d 8

e 30

Step-by-step explanation:

x must be greater than 5

Answer: D E

Step-by-step explanation:

2(8) > 10

2(30) > 10

Both greater than

Answer:

27

Step-by-step explanation:

First multiply 7 times 2 according to pemdas. Then add 10+3+14. The final answer would be 27.

Answer:

ya its 27 make sure u use pemdas but ya its 27

Answer:

$ 18,000 was invested at 7%, and $ 5,000 was invested at 6%.

Step-by-step explanation:

Given that I invested $ 23,000 in two accounts paying 6% and 7% annual interest, respectively, and the total interest earned for the year was $ 1,560, to determine how much was invested at each rate, the following calculation must be performed:

23,000 x 0.07 + 0 x 0.06 = 1,610

22,000 x 0.07 x 1,000 x 0.06 = 1,600

21,000 x 0.07 x 2,000 x 0.06 = 1,590

20,000 x 0.07 x 3,000 x 0.06 = 1,580

19,000 x 0.07 x 4,000 x 0.06 = 1,570

18,000 x 0.07 x 5,000 x 0.06 = 1,560

Thus, $ 18,000 was invested at 7%, and $ 5,000 was invested at 6%.

Answer:

6?

Step-by-step explanation:

I guessed dont trust the answer

Answer:

Number 6 is 7

Step-by-step explanation:

8 x 7 = 56

49 + 7 = 56

Answer:

The answer would be 6º

Step-by-step explanation:

first we know that a straight lin is always 180º

so since we know that the angle outside of the triangle is 110º we can do 180º -110º

then we get the measuerment for angle C :70º

since we dont know the measurements of the other angles but know that a full triangle is equal to 180º we make this equation

2+6x+12x+70=180

then we solve

72+18x=180

-72         -72

18x=108

/18    /18

x=6

then we plug in the x value to find the angle measurement

2+6(6)

2+36

38º

your answer is m<CAB is 38º

Answer:

252cm²

Step-by-step explanation:

This figure consists of 2 trapeziums.

Area of a trapezium= (The sum of the parallel side/2)× height

Explanation:

[(16+20)÷2]×7

[36÷2]×7

18×7

126cm²

Since the 2 trapezium have the same value we will just multiply the answer by 2.

126×2

252cm²

Hope this helps:)

Answer:

b

Step-by-step explanation:

Answer:

Y = 2x. it is given

now , 2x + 2y = 30

now putting y = 2x ,. in ( 2x + 2y) = 30

hence ,.2x + 4x = 30

6x = 30

x= 5

now ,y= 2x

y = 10

Hi there! Your answer is y = 2x-3

Please see an explanation for a better and clear understanding to your problem.

Any questions about my answer and explanation can be asked through comments! :)

Step-by-step explanation:

For an easy understanding to "proportional equation", It is basically an equation that is in form of y = mx + b where b = 0. Therefore, when b = 0 - Our new equation would be y = mx.

Other choices are in form of y = mx while the first choice isn't in the form of y = mx.

To be a proportional function or equation, the equation must be in the form of y = mx only.

The question asks which equation Is not proportional. Hence, the answer is the first choice.

Hope this helps!

Answer:

15 hours

Step-by-step explanation:

A+N=10

(1/A+N)=1/10

(1/A+N) + (1/T)= 1/6

1/T= 1/6-1/10

1/T= (5-3)/30 = 2/30 = 15

It will take Taylor alone 15 hours to complete the work alone.

A function is a relation between a dependent and independent variable.

Mathematically, we can write → y = f(x) = ax + b.

Given is that Addie, Namanda, and Taylor can paint a room together in 6 hours. Addie and Namanda could do it in 10 hours.

We can write that Addie, Namanda, and Taylor's 1 hour work as (1/6).

Addie and Namanda's 1 hour work = 1/10

So -

1/A + 1/N + 1/T = 1/6

1/A + 1/N = 1/10

Now -

1/T = 1/6 - 1/10

1/T = 10/60 - 6/60

1/T = 4/60

T = 60/4

T = 15 hours

Therefore, it will take Taylor alone 15 hours to complete the work alone.

To solve more questions on time and distance, visit the link-

brainly.com/question/29014197

#SPJ2

Answer:

1

Step-by-step explanation:

monday, tuesday, wednesday, thursday, friday, saturday, and sunday all have "a" in it so it has a 100% probability

Answer:

There would be a 100% chance.

Step-by-step explanation:

All the days of the week end with -day. The word day has an 'a' in it.

Monday

Tuesday

Wednesday

Thursday

Friday

Saturday

Sunday

Therefore, it will be certain that you will pick a day that has an 'a' in it's name.

Hope this helps!

Answer:

Step-by-step explanation:

Since one of zero's is complex number, its conjugate should also be a zero of the given polynomial.

The polynomial is going to be:

Substitute zero's:

Answer:

A. 1,177.58 cm³

Step-by-step explanation:

Volume of hemisphere = ⅔πr³

Radius (r) = 16.51 ÷ 2 = 8.255

π = 3.14

Plug in the values

Volume of the hemisphere-shaped cup = ⅔ × 3.14 × 8.255³

= 1,177.57783 ≈ 1,177.58 cm³

Answer:

1,200 meters.

Step-by-step explanation:

Given that the farmer has a field of 300 meters and he wants to fence it with 4 rounded barbed wire, to determine what is the total length of wire he requires, the following calculation must be performed:

300 x 4 = X

1,200 = X

Thus, the farmer needs 1,200 meters of barbed wire to be able to fence his entire field.

Answer:

120+6

Step-by-step explanation:

Using distributive property 6times 20 is 120 and 6 times 1 is 6 so 120+6

Answer:

you plowed more of the field on day 2 than on day one because minus equals

Step-by-step explanation:

Answer: I (5 + 2/3) oz - xI ≤ 2/5 oz.

Step-by-step explanation:

If we have a mean M, and a measurement error e, then the absolute value inequality that represents the possible values of x, the variable, is:

IM - xI ≤ e

This means that x can be, at maximum, at a "distance" e from M.

In this case, we know that the mean weight is (5 + 2/3) oz, and the error is +- 2/5 oz, then the absolute value inequality that represents this situation is:

I (5 + 2/3) oz - xI ≤ 2/5 oz.

Answer:

let no be x

by the question

2x-5=9

2x=9+5

x=14/2=7

the secret no is 7.

Answer:

2.65/.25= 10.6oz

............

Answer:

10.6 Ounces

Step-by-step explanation:

Each ounce of dried pineapple costs $0.25

Divide $2.65 by $0.25

2.65/0.25=10.6

Mags bought 10.6 oz.

Answer:

A = B

Step-by-step explanation:

The correct option is;

A = B

Check:

A = {2,3,4}

B = {2,3,4}

Au B = A n B = {2,3,4}

A or B cannot be null.

check

A = {2,3,4}

B = {}

Au B = {2,3,4}

A n B = {}