Which set of absolute values is compared correctly? A. |-10| |-10| > |-12| > |17| C. |10| > |-15| > |-5| > |2| D. |-10| < |12| < |-15| < |17|

Answer:

B

Step-by-step explanation:

Distributive property

[tex]4(x + 3)[/tex]

[tex]4 \times x + 4 \times 3[/tex]

[tex]4x + 12[/tex]

Answer: B C D

Step-by-step explanation:

Answer: 99cm^2

Step-by-step explanation:

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[tex]area = \frac{1}{2} \times (height) \times (base) \\ [/tex]

[tex]height = 11 \: \: cm[/tex]

[tex]base = 18 \: \: cm[/tex]

Thus :

[tex]area = \frac{1}{2} \times 11 \times 18 \\ [/tex]

[tex]area = \frac{18}{2} \times 11 \\ [/tex]

[tex]area = \frac{2 \times 9}{2} \times 11 \\ [/tex]

[tex]area = 9 \times 11[/tex]

[tex]area = 99 \: \: {cm}^{2} [/tex]

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Answer:

y = 4x + 9

week 21

Step-by-step explanation:

first I did 37-9 and got 28 I divide that by 7 ( seven weeks) and got 4 so I know the slope is 4.

so to find how many weeks till 93 I did; 93 = 4x + 9. We have to get x by its self so I minus 9 by both sides and got 84 = 4x. So now we divid both sides by 4 to get x by its self and we end up with 21 = x

Answer:

n=0.6

Step-by-step explanation:

We want to get n alone so we can divide each side by 0.09.

So then n= 0.054/0.09.

n=0.6

Hope this helps! If you have any questions on how I got my answer feel free to ask. Stay safe!

Answer:

x plus 4 times 5

Step-by-step explanation:

Answer:

5x + 20

Step-by-step explanation:

5 (x + 4)

which is 5x + 20

.

Answer:

A

Step-by-step explanation:

Answer:

gcf is 20 lcm is 40

Step-by-step explanation:

Answer:

800

Step-by-step explanation:

Answer:

Step-by-step explanation:

5

Answer:

■ = 7

Explanation:

Because there two ratios are proportional as a result of being equal.

To find the missing part of the ratio, cross multiply, and solve for ■ by converting them into their equivilent fractions.

i.e a : b = a/b.

So 4 : ■ becomes 4/■. And 8 : 14 becomes 8/14.

i.e a/b = c/d → b × c = a × d → bc = ad

Now 4/■ = 8/14 → ■ × 8 = 14 × 4 → 8■ = 56.

8■/8 = 56/8

1■ = 7

■ = 7

This method works for a missing part pretty much anywhere.

____________________

This is a little faster for ratios:

To find the value of the unknown part of the ratio,

just find the factor between two corresponding numbers, and apply that to the known number corresponding to the unknown part.

4 : ■ = 8 : 14

Notice that 4 corresponds to 8

So the factor between these is 2.

Since from 8 to 4 is a multiple of 1/2. 8 × 1/2 = 4, and 14 × 1/2 = ■.

Therefore ■ = 14 × 1/2 = 14/2 = 7

Answer:

T = -22/r + 39

(a) y = [130 − 130e^(-0.015t)] / 3

(b) 22.9

Step-by-step explanation:

d²T/dr² + 2/r dT/dr = 0

If S = dT/dr, then:

dS/dr + 2/r S = 0

dS/dr = -2/r S

dS / S = -2/r dr

ln S = -2 ln r + C

S = e^(-2 ln r + C)

S = Ce^(-2 ln r)

S = C [e^(ln r)]^-2

S = C / r²

dT/dr = C / r²

dT = C dr / r²

T = -C / r + D

When r=1, T=17.

17 = -C + D

When r=2, T=28.

28 = -C/2 + D

Solving:

11 = C/2

C = 22

D = 39

T = -22/r + 39

We can check our answer by finding dT/dr and d²T/dr².

dT/dr = 22/r²

d²T/dr² = -44/r³

Plug into the original equation:

d²T/dr² + 2/r dT/dr = 0

-44/r³ + 2/r (22/r²) = 0

0 = 0

The total flow into the tank is 15 L/min, and the total flow out is 15 L/min, so the volume is constant at 1000 L.  The amount of salt added to the tank is:

(0.05 kg/L) (5 L/min) + (0.04 kg/L) (10 L/min) = 0.65 kg/min

If y is the amount of salt in the tank at time t, and y/1000 is the concentration in the tank at time t, then the amount of salt removed from the tank is:

(y/1000 kg/L) (15 L/min) = 0.015y kg/min

The change in salt over time equals the amount of salt in minus the amount of salt out.

dy/dt = 0.65 − 0.015y

-200 dy/dt = 3y − 130

dy / (3y − 130) = -0.005 dt

3 dy / (3y − 130) = -0.015 dt

ln(3y − 130) = -0.015t + C

3y − 130 = Ce^(-0.015t)

3y = 130 + Ce^(-0.015t)

y = [130 + Ce^(-0.015t)] / 3

At t=0, y=0:

0 = (130 + C) / 3

C = -130

y = [130 − 130e^(-0.015t)] / 3

At t=50:

y = [130 − 130e^(-0.75)] / 3

y ≈ 22.9

5. is slope of 0

6. is slope of -7

7. is slope of -2

8. is slope of -3/2

9. is slope of -1

10. is slope of 0 :)

Answer: B: Gabriel opened the account with $15 and is depositing $35 per week into his bank account.

Answer:

4%

Step-by-step explanation:

to solve this you need to subtract 156-150=6

then take 6 divided by 150 which is 0.04

then take 0.04x100=4

Answer:

4%

Step-by-step explanation:

156 divided by 150 = 1.04, which equals 4%

Answer:

8.2

Step-by-step explanation:

1. Since AD is equal to DB, we will need to set 3x-11 equal to 5x-29. When you solve the equation you will get 9 for x.

2. Plug the 9 in for x in DB (you could plug it in for AD instead if you want since DB and AD are equal to each other). You should get 16.

3. Take a look at the smaller triangle DBP which is part of triangle ABC. We will need to use the Pythagorean Theorem. Square the legs of the triangle and set it equal to the hypotenuse squared. One of the legs, DP, is unknown so we will just have it as x. The other leg is DB, which is 16.

* PB is the hypotenuse and has a value of 18. Remember that P is the circumcenter, which means it is equidistant to each vertex and each angle bisector is equal to each other. As a result PC is equal to PB which happens to be 18.

You should have it something like this:

16^2 + x^2 = 18^2

Now do all the squaring and stuff and you should eventually get x^2 = 68

4. Square root x^2 = 68 and you will get a long decimal. You will need to round it to the tenths place.

5. After rounding you will finally get 8.2

The measurement of DP is 8.2 units.

The circumcenter of a triangle is defined as the point where the perpendicular bisectors of the sides of that particular triangle intersect.

Given that, P is the circumcenter △ ABC, and AD = 3x - 11, DB =5x - 29,

PC = 18

Since, DP bisects AB, so, AB = DP

3x-11 = 5x-29

x = 9

DB = 5*9 - 29 = 16

Since, P is the circumcenter, then PB = PC = PA = 18

Using Pythagoras theorem in Δ BPD

PB² = DB² + DP²

DP² = PB² - DB²

DP² = 18² - 16²

DP² = 324 - 256

DP² = 68

DP = 8.2

Hence, The measurement of DP is 8.2 units.

For more references on circumcenter of a triangle, click;

https://brainly.com/question/16276899

#SPJ3

Answer:

94.2%

Step-by-step explanation:

Most of the materials is converted into product.

Assuming the amount of material discharged = the amount of product discharged.

The percentage of material discharged is

(895/950)×100 = 94.2%

Answer:

7/60 hour or 7 minutes b) 8 or 8 4/7 depending if you consider a fraction of a task is yes or no

Step-by-step explanation:

Answer:

24 1/4 lbs

Step-by-step explanation:

She starts off with 32 1/2 lbs.

She then gives 8 1/4 to her friend.

To find how much she has left, we subtract 8 1/4 from 32 1/2.

To make this easier, lets make them both have a common denominator:

32 2/4 - 8 1/4 = 24 1/4

I hope this helped, please mark Brainliest, thank you so much!

Answer:

appreciate plzz mark as brainliest

Answer:

y = 3x

Step-by-step explanation:

In this case, the ratio between sugar and water is 0.5 : 1.5 or 1 : 3.

That means that you need three cups of water for every cup of sugar.

In order to put this into an equation, the slope would be 3/1 or simply 3, and the y-intercept is 0. Even if you used the 0.5 : 1.5 ratio, the slope would be the same since 1.5 / 0.5 = 3.

Answer:

270,650 is the answer

Step-by-step explanation:

Answer:

21.6

Step-by-step explanation:

Do  0.18 (18%) times 120

Answer:

21.60

Step-by-step explanation:

18% of 120 is 21.60, so we would tip her hairdresser that much :)

Answer:

$1.50

Step-by-step explanation:

The constant of proportionality will be the cost for 1 ticket. This means you can find it by dividing the amount for 5 tickets.

7.5=5 tickets

divide both sides by 5

1.5= 1 ticket

one ticket costs $1.50, or the constant of proportionality

Answer:

1.50 would be your answer

Step-by-step explanation:

Ride Tickets x $1.50 = Cost

Hope this helpss!!

Answer:

y=6x+1

Step-by-step explanation:

y=mx+b

You replace m with 6 and b with 1.

Answer:

m=6,b=1

Step-by-step explanation:

bc find the value of b using formal for the equation of the line , hope this helped ^^

Answer: A) [tex]y=13e^{-0.1359t}[/tex]

              B) H = 5.10

              C) Yes

Step-by-step explanation: Exponential Decay function is a model that describes the reducing of an amount by a constant rate over time. Generally, it is written in the form: [tex]y(t)=Ce^{rt}[/tex]

A) C is initial quantity, in this case, the initial concentration of DDT. To determine r, using the data given:

[tex]y(t)=Ce^{rt}[/tex]

[tex]2.22=13e^{13r}[/tex]

[tex]e^{13r}=0.1708[/tex]

Using a natural logarithm property called power rule:

[tex]13r=ln(0.1708)[/tex]

[tex]r=\frac{ln(0.1708)}{13}[/tex]

[tex]r=-0.1359[/tex]

The decay function for concentration of DDT through the years is [tex]y(t)=13e^{-0.1359t}[/tex]

B) The value of H is calculated by [tex]y=C(0.5)^{\frac{t}{H} }[/tex]

[tex]2.22=13(0.5)^{\frac{13}{H} }[/tex]

[tex](0.5)^{\frac{13}{H} }=0.1708[/tex]

Again, using power rule for logarithm:

[tex]\frac{13}{H} log(0.5)=log(0.1708)[/tex]

[tex]\frac{13}{H} =\frac{log(0.1708)}{log(0.5)}[/tex]

[tex]\frac{13}{H} =2.55[/tex]

H = 5.10

Constant H in the half-life formula is H=5.10

C) Using model [tex]y(t)=13e^{-0.1359t}[/tex] to determine concentration of DDT in 1995:

[tex]y(24)=13e^{-0.1359.24}[/tex]

y(24) = 0.5

By 1995, the concentration of DDT is 0.5 ppm, so using this model is possible to reduce such amount and more of DDT.

Answer:

y = -Ax + C

Step-by-step explanation:

Ax + By = C

-ax            -ax

By  = -Ax + C

Answer:

y = -Ax + C