Simplify the expression to a + bi form:
(3+10i)-(-12-8i)

Answer:

3 liquid gallons

Step-by-step explanation:

3 + 4 + 5 = 12

12 ÷ 4 = 3 liquid gallons

Step-by-step explanation:

1. yes 4+16 = 20

2. yes 32 - 4 = 28

3. yes 4(10) = 40

4. no 24/6 = 4

Answer:

I love algebra anyways  

the ans is in the picture with the steps  

(hope it helps can i plz have brainlist :D hehe)

Step-by-step explanation:

1.yes

2.yes

3.yes

4.no

Answer:

118,692

Step-by-step explanation:

2x+30=-50

2x=-50-30

2x=-80

x=-80/2

Answer:

-40

Step-by-step explanation:

cuz 2 times -40=-80 and -80+30 equals -50

Answer:

120 feet is the answer

Answer: x=-6

Step-by-step explanation:

Given

2x + 8 = -4

Subtract 8 on both sides

2x + 8 - 8 = -4 - 8

2x = -12

Divide 2 on both sides

2x / 2 = -12 / 2

x = -6

NOTE: I assume the questions "solve for c" actually means "solve for x"

Hope this helps!! :)

Please let me know if you have any questions

Answer:

13

Step-by-step explanation:

substitute the five into the equation. :)

Answer:

it is 36 inches

Step-by-step explanation:

With $17.00, you can buy approximately 8 whole gallons of gas.

To calculate the number of whole gallons of gas that can be bought with $17.00, we need to divide the total amount of money by the cost per gallon.

Given that the cost of gas is $2.19 per gallon, we can set up the following equation:

Number of gallons = Total money / Cost per gallon

Substituting the values into the equation, we have:

Number of gallons = $17.00 / $2.19

Performing the division, we get:

Number of gallons ≈ 7.7625570776255707762557077626

Since we are asked to provide a whole number, we round the decimal to the nearest whole number:

Number of gallons ≈ 8

It's important to note that this calculation assumes that the cost per gallon remains constant, and any taxes or additional fees are not taken into account. Additionally, the actual number of gallons that can be purchased may vary depending on the specific pricing and location.

For more such questions on gallons

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Answer:

0.3821 = 38.21% probability that no less than 95 out of 152 registered voters will vote in the presidential election.

Step-by-step explanation:

Binomial probability distribution

Probability of exactly x sucesses on n repeated trials, with p probability.

Can be approximated to a normal distribution, using the expected value and the standard deviation.

The expected value of the binomial distribution is:

[tex]E(X) = np[/tex]

The standard deviation of the binomial distribution is:

[tex]\sqrt{V(X)} = \sqrt{np(1-p)}[/tex]

Normal probability distribution

Problems of normally distributed distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

When we are approximating a binomial distribution to a normal one, we have that [tex]\mu = E(X)[/tex], [tex]\sigma = \sqrt{V(X)}[/tex].

Assume the probability that a given registered voter will vote in the presidential election is 61%.

This means that [tex]p = 0.61[/tex]

152 registed voters:

This means that [tex]n = 152[/tex]

Mean and Standard deviation:

[tex]\mu = E(X) = 152*0.61 = 92.72[/tex]

[tex]\sigma = \sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{152*0.61*0.39} = 6.01[/tex]

Probability that no less than 95 out of 152 registered voters will vote in the presidential election.

This is, using continuity correction, [tex]P(X \geq 95 - 0.5) = P(X \geq 94.5)[/tex], which is 1 subtracted by the pvalue of Z when X = 94.5. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{94.5 - 92.72}{6.01}[/tex]

[tex]Z = 0.3[/tex]

[tex]Z = 0.3[/tex] has a pvalue of 0.6179

1 - 0.6179 = 0.3821

0.3821 = 38.21% probability that no less than 95 out of 152 registered voters will vote in the presidential election.

Answer:about 5.3

Step-by-step explanation:

Answer:

what school you do

Step-by-step explanation:

what grade

4m - - - - >4x10=40m^2

6m - - - - >6x10=60m^2

Answer:

Kindly check explanation

Step-by-step explanation:

Given that:

Length of remnant fabric = 9.7m

Number of 0.85m length needed for patio = 12

Total length needed = (0.85 * 12) = 10.2m

The length of fabric needed is more than the length of remnant fabric found ;

10.2 m - 9.7m = 0.5m

Hence, Alex will need 0.5m more fabric

Answer:

$105.00

Step-by-step explanation:

100 x 1.05 = $105.00

Answer:

with included tax : $150

Answer:

Mark brainliest pls

Step-by-step explanation:

People have given you correct answers but not explained why, perhaps because it seems so obvious.

One of Bayes laws of probability says that if two events e1 and e2 are independent (unrelated), then the probability of both happening together is the product of their individual probabilities.

The die and the coin are independent events. Each is a 50% chance (odd number on a die, heads on a coin). Thus the probability of both happening together is 50% * 50% = 25%.

The probability of obtaining an odd number and a head is 1/4.

Probability deals with the occurrence of a random event. The chance that a given event will occur. It is the measure of the likelihood of an event to occur.The value is expressed from zero to one.

For the given situation,

Let A be Sam rolls a fair dice.

Sample space, s = { [tex]1,2,3,4,5,6[/tex] }

⇒ [tex]n(s)=6[/tex]

An event A is obtaining an odd number, e = { [tex]1,3,5[/tex] }

⇒ [tex]n(e)=3[/tex]

The probability of A is obtaining an odd number,

[tex]P(A)=\frac{n(e)}{n(s)}[/tex]

⇒ [tex]P(A)=\frac{3}{6}[/tex]

⇒ [tex]P(A)=\frac{1}{2}[/tex]

Now, let B be Sam flips a fair coin.

Sample space, s = { [tex]H,T[/tex] }

⇒ [tex]n(s)=2[/tex]

An event B is getting a head, e = { [tex]H[/tex] }

⇒ [tex]n(e)=1[/tex]

The probability of B is getting a head,

[tex]P(B)=\frac{1}{2}[/tex]

Both A and B are independent events.

Thus the probability of obtaining an odd number and a head is

[tex]P(e)= P(A)P(B)[/tex]

⇒ [tex]P(e)=(\frac{1}{2})( \frac{1}{2} )[/tex]

⇒ [tex]P(e)=\frac{1}{4}[/tex]

Hence we can conclude that the probability of obtaining an odd number and a head is 1/4.

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Answer:

Step-by-step explanation:

we will find the area of the inner circle and then the area of the outer circle and see what the ratio is between those 2

area of a circle = [tex]\pi[/tex][tex]r^{2}[/tex]  (where r is the radius, NOT the diameter, easy to confuse)

the radius of the inner circle is 2.5. which  is half of the diameter of 5

inner circle = [tex]\pi[/tex]*(2.5)^2

inner circle =  19.6349...

outer circle = [tex]\pi[/tex]*(10^2)

outer circle = 314.1592...

the ratio is    19.6349... /  314.1592...  = 0.0625

0.0625 = 6.25%

= 6% ( rounded to nearest whole number )

Answer:

Dec 10

Step-by-step explanation:

0.25 liter = 250 ml

4 ml * 3 = 12 ml

250/12 = 20.83 days

Nov 20 - Nov 30: 11 days

Dec 1 - Dec 9: 9 days

On December 9, she can still take her 3 doses.

By December 9, she will have taken 12 ml per day for 20 days for a total of 240 ml. She has 10 ml left for Dec 10th.

On Dec 10, she will take 2 doses of 4 ml and 1 dose of 2 ml, and she will finish the medicine.

Answer:

HI! MARK ME BRAINLIEST!

Step-by-step explanation:

Your answer will be 25! Just think of it! You'll get it

9514 1404 393

Answer:

  $125 per car

Step-by-step explanation:

The problem statement tells you Jazmin's pay goes up by $125 for each car she sells. That rate of change is $125 per car.

Answer:

75

90

15, i think ??

165

hope this helps !!!! :D

Step-by-step explanation:

Solution:

Here,

In triangle LKM,

6x+5x+x=180

12x=180

x=180/12

x=15

Now,

1.75

2.90

3.15

4.165

Answer:

3030.033 is another way to write the number

Answer:

Approximately normal

Step-by-step explanation:

Answer:

Option C. 4.0313×10²⁷ molecules.

Step-by-step explanation:

We'll begin by calculating the volume of oxygen in the room. This can be obtained by calculating the volume of the room since the gas will eventually fill the room.

Width (W) = 5 m

Length (L) = 10 m

Height (H) = 3 m

Volume (V) =?

V = L × W × H

V = 10 × 5 × 3

V = 150 m³

Thus, the volume of oxygen is 150 m³

Next, we shall convert 150 m³ to L. This can be obtained as follow:

1 m³ = 1000 L

Therefore,

150 m³ = 150 m³ × 1000 L / 1 m³

150 m³ = 150000 L

Finally, we shall determine the number of molecules of oxygen in the room. This can be obtained as follow:

22.4 L = 6.02×10²³ molecules

Therefore,

150000 L = 150000 × 6.02×10²³ / 22.4

150000 L = 4.0313×10²⁷ molecules

Thus, the number of molecules of oxygen in the room is 4.0313×10²⁷ molecules

First take note of the domain of f(x) ; the square root term is defined as long as x - x ² ≥ 0, or 0 ≤ x ≤ 1.

Check the value of f(x) at these endpoints:

f (0) = 0

f (1) = 0

Take the derivative of f(x) :

[tex]f(x)=8x\sqrt{x-x^2}=8x\left(x-x^2\right)^{\frac12}[/tex]

[tex]\implies f'(x)=8\left(x-x^2\right)^{\frac12}+4x\left(x-x^2\right)^{-\frac12}(1-2x)=4\left(x-x^2\right)^{-\frac12}\left(2\left(x-x^2)\right)+x(1-2x)\right)=\dfrac{4(3x-4x^2)}{\sqrt{x-x^2}}[/tex]

For x ≠ 0, we can eliminate the √x term in the denominator:

[tex]x\neq0\implies f'(x)=\dfrac{4\sqrt x (3-4x)}{\sqrt{1-x}}[/tex]

f(x) has critical points where f '(x) is zero or undefined. We know about the undefined case, which occurs at the boundary of the domain of f(x). Check where f '(x) = 0 :

√x (3 - 4x) = 0

√x = 0   or   3 - 4x = 0

The first case gives x = 0, which we ignore. The second leaves us with x = 3/4, at which point we get a maximum of max{f(x) } = 3√3 / 2.