(a-b)^2+2c when a=13,b=6,and c=5

Answer:

Set the area equal to x2, solve for x, and then multiply the value of x by 4.

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Answer:

  9/4

Step-by-step explanation:

You want to know the value required to complete the square in the equation 1 = x² -3x.

Your picture shows the required value: (-3/2)² = 9/4.

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Answer:

Luis 19, Santiago 9

Step-by-step explanation:

\(L = S +10\\2L=S+29\)

Restamos a la segunda ecuación la primera ecuación:

\(L=19\)

Luis tiene 19 años

Para la edad de Santiago usamos la primera ecuación:

\(L=S+10\\19=S+10\)

\(S=19-10\\S=9\)

Santiago tiene 9 años

Hope this helps.

Step-by-step explanation:

Circumference=22π

2πr=22π

r=11 in.

Area=121π in.²

Hope it helps you

The required length of the tunnel that Damien can paint is 1.72 meters.

Let the tunnel is a cylinder with a radius r = 5 m and length l.

The formula for the surface area of the playground tunnel is:

S = 2πrl

S = 2π×5×l

S = 10πl

And we also know that the area of the tunnel is S = 54 m²

⇒ 10πl = 54

⇒ π = 3.14

⇒ 10×3.14×l = 54

Apply the multiplication operation, and solve for l

⇒ l = 1.72 m

Thus, the required length of the tunnel that Damien can paint is 1.72 meters.

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Answer:

Yes

Step-by-step explanation:

We have to see if 48^2+64^2=80^2

This equals: 2304+4096=6400

This is true so it is a right triangle.

Yes, it is correct. Your so smart  :)

I hope you have a good day, Loves •v•

Answer:

Yes, that is correct.

Answer:

Katelynn has $285 already saved. The bike she likes starts at 475. It starts at, it's not exactly. However, we are looking for the least amount she needs to save. Therefore, we need to subtract what she has saved from the least amount she is trying to save or reach. least amount needed $475 minus-saved $285 this equals $190.

Step-by-step explanation:

Answer:

x = -4

Explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

Answer:

x = -4

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

Step 2: Subtract 5 from both sides.

Step 3: Divide both sides by -7.

Step 4: Check if solution is correct.

Therefore, x = -4.

Answer:

(0,8)

Step-by-step explanation:

y = –2x + 8

The y intercept is found when x =0

y = –2*0 + 8

y = 8

The y intercept is

(0,8)

Step-by-step explanation:

(5b - 2c)*(2a - 3c) = 5b*2a - 3c*5b - 2a*2c + 6c^2

Hence, 120 flowers were sold in total on that day as the Roses made up 35% of the total number of flowers.

In mathematics, the unitary approach entails determining the value of a single unit and then using that value to determine the value of a certain number of units. It is frequently applied to issues concerning rates and proportions as well as issues relating to ratios and proportions. The unitary method, for instance, would result in a cost of $5 for 5 apples if the price of 1 apple is $2. To calculate the overall cost using the unitary method, we would multiply the $2 worth of one apple by the quantity we wish to purchase. Therefore $5 would be spent on 5 apples, or $2 each.

given

Assume that "x" represents the total quantity of flowers sold on that particular day.

Roses made up 35% of the total number of flowers, which means that:

0.35x = 42

By dividing both sides by 0.35, we can determine the value of "x":

x = 120

Hence, 120 flowers were sold in total on that day as the Roses made up 35% of the total number of flowers.

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4s+8.5a>=460

s+a<=79

s=53

4*53+8.5a>=460

212+8.5a>=460

8.5a>=248

a>=29.1765 --> 30

30+53 is 83, which is greater than 79, so this is not possible.

If 53 tickets were sold to students, it is not possible to meet the minimum amount of money the drama club needs to make. They need to either sell less tickets to the students, or have a larger venue.

Check the picture below.

Given:

The expression is

\(\dfrac{1}{5}\cdot \dfrac{1}{5}\cdot \dfrac{1}{5}\cdot \dfrac{1}{5}\)

To find:

The expressions which are equivalent to the given expression.

Solution:

We have,

\(\dfrac{1}{5}\cdot \dfrac{1}{5}\cdot \dfrac{1}{5}\cdot \dfrac{1}{5}=\dfrac{1}{5^4}\)

\(\dfrac{1}{5}\cdot \dfrac{1}{5}\cdot \dfrac{1}{5}\cdot \dfrac{1}{5}=5^{-4}\)

In option A,

\((5^{-2})^2=5^{-2\times 2}\)

\((5^{-2})^2=5^{-4}\)

This expression is equivalent to the given expression.

In option B,

\((5^{-4})^0=5^{-4\times 0}\)

\((5^{-4})^0=5^{0}\neq 5^{-4}\)

This expression is not equivalent to the given expression.

Option C,

\(\dfrac{5^1}{5^4}=5^{1-4}\)

\(\dfrac{5^1}{5^4}=5^{-3}\neq 5^{-4}\)

This expression is not equivalent to the given expression.

Option D,

\(5^2\cdot 5^{-6}=5^{2-6}\)

\(5^2\cdot 5^{-6}=5^{-4}\)

This expression is equivalent to the given expression.

Therefore, the correct options are A and D.

Answer: Khan

Step-by-step explanation:

Kahn

Answer:

108 sq in.

Step-by-step explanation:

The ratio of the areas is the square of the ratio of the sides.

Side ratio     1:3

Area ratio    1:9

The side of the larger trapezoid is 3 times the side of the smaller trapezoid.

The area of the larger trapezoid is 9 times the area of the smaller trapezoid.

9 * 12 sq in. = 108 sq in.

Answer: 1/3

Step-by-step explanation: There are three topping choices so there is 1/3 of a chance that youll choose sprinkles.

The probability of choosing frozen yogurt with sprinkles is: 1/3

"Probability is a branch of mathematics which deals with finding out the likelihood of the occurrence of an event."

The formula for the probability of an event A is:

\(P(A)=\frac{n(A)}{n(S)}\)

where, \(n(A)\) is the number of favorable outcomes

\(n(S)\) is the total number of events in the sample space.

For given situation,

consider event A: choosing frozen yogurt with sprinkles

⇒ \(n(A)=1,n(S)=3\)

So, \(P(A) = \frac{1}{3}\)

Hence, the probability of choosing frozen yogurt with sprinkles is 1/3.

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The probability of the family having 8 girls is very small, as it is 1/256. This is equivalent to the chance of flipping a coin with heads 8 times in a row.

The probability of a family having 8 girls is incredibly low. This is because the probability of each child being a girl is the same as the probability of each child being a boy, so the odds of all 8 children being girls is 1/2 to the power of 8, or 1/256. This is equivalent to the odds of flipping a coin 8 times and getting heads every time.

However, if it is known that the family has at least one girl, the probability of the family having 8 girls increases slightly. This is because the probability of at least one girl existing eliminates some of the possible outcomes of the family having all boys.

Since there are 8 total children, and 7 of them must be girls in order for the family to have 8 girls, the probability of the family having 8 girls can be calculated by taking the probability of one girl (1/2) and then multiplying it by itself 7 times (1/2 to the power of 7). This gives a probability of 1/128, which is twice as likely as the probability of the family having 8 girls without knowing that at least one girl exists.

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The Probability that the third student will draw a red or blue marble is 20/44, which simplifies to 5/11 or approximately 0.45.

To find the probability that the third student will draw a red or a blue marble, we need to first calculate the total number of marbles remaining in the bag after the first two students draw theirs.

The first student draws a yellow marble, leaving 9 yellow, 10 red, 10 blue, 8 green, and 8 purple marbles in the bag.

The second student draws a purple marble, leaving 9 yellow, 10 red, 10 blue, 8 green, and 7 purple marbles in the bag.

Therefore, the total number of marbles remaining in the bag is 44.

Of those 44 marbles, there are 10 red and 10 blue marbles, for a total of 20 marbles that the third student could potentially draw.

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To plate 1 mL of a sample that has been diluted in 0.00000001 mL of diluent, or a dilution factor of 10^8.

To determine what sample volume should yield a countable plate, we need to calculate the appropriate dilution factor.

The sample has a density of 7.9 x 10^9 CFU/mL, and we want to plate 1 mL of a 10^-8 original dilution, which means we need to dilute the sample by a factor of 10^8 to obtain a countable plate.

We can calculate the required dilution factor using the following formula:

Dilution factor = (Volume of sample plated) / (Total volume of diluted sample)

To dilute the sample by a factor of 10^8, we can calculate the total volume of diluted sample as follows:

Total volume of diluted sample = (Volume of sample plated) x (Dilution factor)

Substituting the values, we get:

10^8 = 1 mL / (Total volume of diluted sample)

Total volume of diluted sample = 1 mL / 10^8

Total volume of diluted sample = 0.00000001 mL

Therefore, to obtain a countable plate, we need to plate 1 mL of a sample that has been diluted in 0.00000001 mL of diluent, or a dilution factor of 10^8.

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The minimum number of feet in the length of the rope \(8\sqrt{(4\pi^2 + 36)}\) feet.

To find the minimum number of feet in the length of the rope, we need to first calculate the height of the point on the circumference where the rope is attached. We can do this by using the formula for the circumference of a cylinder:

C = 2πr

where C is the circumference, r is the radius of the cylinder, and π is pi. Since we know that the circumference of the pole is 2 feet, we can solve for the radius:

2 = 2πr

r = 1/π

Next, we need to calculate the length of the rope that is wrapped around the pole. We know that the rope is wrapped around the pole four times, so the length of the rope is:

L = 4 × height of the pole

To find the height of the pole, we can use the Pythagorean theorem:

\(a^2 + b^2 = c^2\)

where a is the radius of the pole, b is the height of the point where the rope is attached, and c is the length of the rope wrapped around the pole.

Solving for b, we get:

b = \(\sqrt{c^2 - a^2)}\)

Substituting the values we know, we get:

b = \(\sqrt{((4\pi^2 + 12^2) - \pi^2)}\)

b = \(\sqrt{sqrt(16\pi^2 + 144)}\)

Finally, we can substitute this value into the formula for the length of the rope:

\(L = 4 * \sqrt{16\pi^2 + 144)}\)

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Answer:

< B.

Step-by-step explanation:

B  corresponds to F.

Answer:

To find missing sides you subtract the angle from 180.

Step-by-step explanation:

If you have 40 and 30 you subtract them from 180 to find the missing lengh

Answer:

x=4

Step-by-step explanation:

3x=5+7

7+5=12

12/3=4

x=4

Hope this helps!!

Answer:

x=4

Step-by-step explanation:

add like terms

3x =5+7

3x=12

divide both sides by 3

3x=12

3    3

x=4

Answer:

the other two factors, (2x+1)(3x+1)

Step-by-step explanation:

(a + 1)x³ + (2 – 3a)x² – (3a – 1)x + 2a – 13 = 0   ...(1)

x-3 = 0     x = 3  

(a + 1)*3³ + (2 – 3a)*3² – (3a – 1)*3 + 2a – 13 = 0

-7a + 35 = 0

a = 5   .. substitute to (1)

6x³ -13x² – 14x -3 = 0

(x-3)(6x²+px+1) = 0 ..... 1*x * 6x² = 6x³,    -3 * 1 = -3

6x³ +(p-18)x² +(1-3p)x -3 = 0

p-18 = -13

p = 5

6x²+5x+1 = (2x+1)(3x+1)

Answer: the maximum number of 50-kilogram crates that can be loaded into the shipping container is 360 crates.

Step-by-step explanation:

Let x be the number of 50-kilogram crates that can be loaded into the shipping container.

We can write an inequality to represent the maximum weight that can be loaded into the container:

x * 50 + 9500 <= 27500

To solve for x, we can first subtract 9500 from both sides:

x * 50 <= 18000

Then, we can divide both sides by 50 to find the number of crates that can be loaded:

x <= 360

So, the maximum number of 50-kilogram crates that can be loaded into the shipping container is 360 crates.

Answer:

Step-by-step explanation:

The probability that the Yankees will lose when they score 5 or more runs is 0.58 or 58%.

To find the probability that the Yankees will lose when they score 5 or more runs, we need to subtract the probability that they win and score 5 or more runs from the probability that they score 5 or more runs.

Let's denote:

P(W) = Probability that the Yankees win a game

P(S) = Probability that the Yankees score 5 or more runs in a game

P(W and S) = Probability that the Yankees win and score 5 or more runs

We are given:

P(W) = 0.53

P(S) = 0.48

P(W and S) = 0.42

To find the probability that the Yankees will lose when they score 5 or more runs, we can use the complement rule:

P(L and S) = 1 - P(W and S)

Since P(L and S) represents the probability of losing and scoring 5 or more runs, we can substitute the given values:

P(L and S) = 1 - P(W and S)

= 1 - 0.42

= 0.58

Therefore, the probability that the Yankees will lose when they score 5 or more runs is 0.58 or 58%.

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