Question 1 of 20
Which of the following functions best describes this graph?


A. y=2x2 - 2x-3
B. y = -2x2 + 4x + 6
c. y = x2 - 2x - 3
D. y= 2x2 - 4x - 6

Answer:

18+\(6\sqrt{5}\)

Step-by-step explanation:

Since the helicopter flies east for six miles and north for 12 miles, it flies 18 miles. Then on the way back, it flies an unknown amount of miles. the path the helicopter takes is in the form of a triangle, and the path back is the hypotenuse of the triangle. To find the hypotenuse, we can do \(a^2+b^2=c^2\), where c is the hypotenuse. We do

\(6^2+12^2=c^2\\36+144=c^2\\180=c^2\\\sqrt{180}=c\\ 6\sqrt{5}=c\)Therefore, the total distance flown by the helicopter is 18+\(6\sqrt{5}\).  

Answer:

Step-by-step explanation:

\(17. (a^{m})^{n}=a^{m*n}\\\\a^{m}*a^{n}=a^{m+n}\\\\-3k^{2}*(4k^{5})^{3}=-3k^{2}*4^{3}*k^{5*3}\\\\ = -3k^{2}*64*k^{15}\\\\= (-3)*64*k^{2+15}\\\\= - 192k^{17}\)

\(19. \dfrac{a^{m}}{a^{n}}=a^{m-n}\\\\\\\dfrac{(-7p^{4})*(-8p^{5})}{2p^{3}}= \dfrac{(-7)*(-8)*p^{4}*p^{5}}{2p^{3}}\\\\\\=(-7)*(-4)*p^{4+5-3} \\\\= 28p^{6}\\\)

\(20)\dfrac{15a^{16}b^{11}}{(3a^{4}b^{2})^{3}}=\dfrac{15a^{16}b^{11}}{3^{3}*a^{4*3}*b^{2*3}}\\\\\\=\dfrac{15a^{16}b^{11}}{27*a^{12}*b^{6}}\\\\=\dfrac{5*a^{16-12}*b^{11-6}}{9}\\\\\\=\dfrac{5a^{4}b^{5}}{9}\)

Answer:

x = -60

Step-by-step explanation:

1/3x=−20

X is 1/3

X times 3 = a full X

Fill it in

X times -20 = -60

Hope this helps :)

Answer: The absolute value of |-10| is 10

Step-by-step explanation: The absolute value of something is the distance from the point to the 0 unit so from -10 to 0 its 10 units.

Step-by-step explanation:

Let's simplify step-by-step.

2(a−3)−5a−2(a−4)

Distribute:

=(2)(a)+(2)(−3)+−5a+(−2)(a)+(−2)(−4)

=2a+−6+−5a+−2a+8

Combine Like Terms:

=2a+−6+−5a+−2a+8

=(2a+−5a+−2a)+(−6+8)

=−5a+2

If trapezoid WXYZ is congruent to trapezoid EFGH, then each of their corresponding sides and angles are congruent.

In a trapezoid, the parallel sides are called the bases, and the non-parallel sides are called the legs. The height or altitude of a trapezoid is the perpendicular distance between the bases.

If trapezoid WXYZ is congruent to trapezoid EFGH, then each of their corresponding sides and angles are congruent. In particular, corresponding sides are parallel and have the same length.

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Answer:

Pretty sure it'd be -99 feet below the Surface.

Step-by-step explanation:

If we call 85 the ground level since he stopped and will then dive down another 14,

85 - another 14 =

-99 Feet below the surface?

Answer:

0.15

Step-by-step explanation:

The amount of caster sugar used in the first attempt is given as follows:

340 g.

The amount of caster sugar used in the first attempt is obtained applying the proportions in the context of the problem.

The expressions for each attempt are given as follows:

The amount used on the third attempt was of 376.38 g, hence the amount used on the first attempt is obtained as follows:

1.107x = 376.38

x = 376.38/1.107

x = 340 g.

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Answer:

\(2 \frac{1}{5} + 1 \frac{5}{6} = 2 \frac{6}{30} + 1 \frac{25}{30} \\ \\ \frac{66}{30} + \frac{55}{30} = \frac{121}{30} \\ \\ \\ = 4 \frac{1}{30} \)

I hope I helped you^_^

Answer:

go 1 right and 2 up

Step-by-step explanation:

The response of a patient to medical treatment A can be good, fair, and poor. The probability that the patient had a poor response to medical treatment A given that she lived at least another 5 years is approximately 0.077 or 7.7%.

The probability that a patient has a good, fair, or poor response to medical treatment A is 60%, 30%, and 10%, respectively. Of those that had a good, fair, and poor response, 80%, 60%, and 20% lived for at least another 5 years.
If a randomly selected patient has lived 5 years after the treatment, we want to find the probability that she had a poor response to medical treatment A.
Let P(G), P(F), and P(P) be the probabilities that a patient had a good, fair, or poor response to medical treatment A, respectively. Let P(L|G), P(L|F), and P(L|P) be the probabilities that a patient lived at least another 5 years given that they had a good, fair, or poor response, respectively.
We can use Bayes' theorem to find the probability we're interested in:
P(P|L) = P(L|P) * P(P) / [P(L|G) * P(G) + P(L|F) * P(F) + P(L|P) * P(P)]
Plugging in the given probabilities, we get:
P(P|L) = 0.2 * 0.1 / [0.8 * 0.6 + 0.6 * 0.3 + 0.2 * 0.1]
Simplifying this expression, we get:
P(P|L) = 0.04 / 0.52
Therefore, the probability that the patient had a poor response to medical treatment A given that she lived at least another 5 years is approximately 0.077 or 7.7%.

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The integral test states that if a series ∑n=1[infinity]an can be shown to be equivalent to an integral ∫[1,infinity]f(x)dx, where f(x) is a positive, continuous, and decreasing function, then the series and integral either both converge or both diverge.

Applying this test to the given series, we can let f(x) = e^(1/x)/x^2. It can be shown that f(x) is positive, continuous, and decreasing for x >= 1. Thus, we can write the series as ∑n=1[infinity]e^(1/n)/n^2 = ∫[1,infinity]e^(1/x)/x^2 dx.
To evaluate the integral, we can use integration by substitution with u = 1/x and du/dx = -1/x^2. This gives us ∫[1,infinity]e^(1/x)/x^2 dx = ∫[0,1]e^u du, which equals e - 1.
Since the integral converges to a finite value, we can conclude that the series also converges. Therefore, the correct statement is A) The series converges, and the terms of the series have limit 0.

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The the new mean price paid when the new musician is included is $82.31

What is the mean price?

The mean price is the sum of prices paid divided by the number of members that paid

Initially, for 25 members, the mean price was $82,hence, we can determine the total amount paid by the 25 members as shown thus:

$82=X/25

X=$82*25

X=$2050

Now, the inclusion of the new musician mean that total amount paid is now $2,140($2050+$90) and the number of members has increased to 26(25+1)

new mean price=$2140/26

new mean price=$ 82.31

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9514 1404 393

Answer:

Step-by-step explanation:

Let b represent the speed of runner B. then the ratio of speeds is ...

  b/(b+5) = 8/18

  18b = 8(b +5) . . . . cross multiply

  10b = 40 . . . . . . . . subtract 8b

  b = 4 . . . . . . . . . . . divide by 10

Runner B's speed is 4 mph; runner A's speed is 5 mph more.

Runner A is running at 9 mph; Runner B is running at 4 mph.

Using proportions, it is found that the ratio of plantains to grams of spices is of 1/3.

A proportion is a fraction of a total amount, and the desired measures in the context of a problem are found using basic arithmetic operations such as multiplication or division with the unit rates in the problem.

One example of application of proportions is for ratio problems, as the ratio between two amounts a and b is given by the division of a by b, as follows:

r = a/b.

In the context of this problem, the amounts are as follows:

Hence the ratio of plantains to grams of spices is calculated as follows:

r = 4/12 = 1/3.

(12 is divisible by 4, with a result of 3, explaining the simplification of the function).

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Answer:

Step-by-step explanation:

Ok so 2 tapes and 4 is the frist step but then we do some xx

"a lawyer researched the average number of years served by 45 different justices on the supreme court. the average number of years served was 13.8 years with a standard deviation of 7.3 years.

The 95% confidence interval estimate for the average number of years served by all supreme court justices is [11.2, 16.4].According to the central limit theorem , a sampling distribution of the means is usually distributed in a normal distribution, given a big enough sample size, which means that it has a bell-shaped curve. It has a standard deviation that can be estimated by dividing the population standard deviation by the square root of the sample size. Using the formula below,

we can calculate the 95% confidence interval for the population average.= 13.8 ± (1.96 × 7.3 / √45)

= 13.8 ± (1.96 × 1.088)

= 13.8 ± 2.13The limits are calculated by adding and subtracting the calculated value from the sample mean.13.8 + 2.13

= 15.9313.8 - 2.13

= 11.67Therefore, the 95% confidence interval estimate for the average number of years served by all supreme court justices is [11.2, 16.4].

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1). The Moon View aquarium can hold approximately 635.85 gallons of water.

2). After 30 days, there is approximately 389.35 gallons of water in the tank.

5). 8 buckets of marine salt needed to convert the Moon View aquarium to a salt water tank.

The volume of the Moon View aquarium can be calculated using the formula for the volume of a cylinder:

Volume = πr²h r is the radius of the tank (half of the diameter) and h is the height.

r = 6 ft / 2

= 3 ft

h = 3 ft

Volume = π(3 ft)²(3 ft)

= 84.78 ft³

Since 1 ft³ holds 7.5 gallons of water, the tank can hold:

84.78 ft³ x 7.5 gallons/ft³ ≈ 635.85 gallons of water.

The Moon View aquarium can hold approximately 635.85 gallons of water.

After 30 days, the depth of the water has decreased to about 32 inches. To calculate the new volume of water in the tank, we need to calculate the new height of the water.

Original height of the water = 3 ft

New height of the water = 3 ft - 32 inches = 2.33 ft

The new volume of water can be calculated using the same formula as before:

Volume = πr²h

r = 6 ft / 2

= 3 ft

h = 2.33 ft

Volume = π(3 ft)²(2.33 ft)

≈ 51.91 ft³

To calculate the new volume in gallons, we multiply by 7.5:

51.91 ft³ x 7.5 gallons/ft³ ≈ 389.35 gallons of water.

After 30 days, there is approximately 389.35 gallons of water in the tank.

To determine how many buckets of marine salt are needed, we need to calculate how many gallons of water the tank will hold when it is full.

We already know that the tank can hold approximately 635.85 gallons of water.

Since each bucket of marine salt is used for 80 gallons of water, we divide the total gallons of water by 80 to find the number of buckets needed:

635.85 gallons ÷ 80 gallons/bucket ≈ 7.95 buckets

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Answer:

1) false

2)false

3)false

Step-by-step explanation:

it was done by a calculator so

Answer:

7,200 pieces are baked in four weeks

Step-by-step explanation:

Here in this question, we are interested in knowing the number of cookies baked in four weeks.

Okay, here we know that there are 6 varieties with 5 dozen of each kind baked everyday.

A dozen is 12 , this means that 5 dozens will be 5 * 12 = 60

Now, 60 pieces of each variety is baked per day. The total number of cookies baked per day is thus 60 * 6 = 360 pieces

Now, a week is just 5 days here. Since we are not considering weekends. Now, the number of days in 4 weeks will be 4 * 5 = 20 days

Since 360 pieces are baked in a day and we have the baking for 20 days in four week, the number of cookies baked is simply the product of the number of pieces and the number of days.

That will be 20 * 360 = 7200 pieces

it is 377,000

Step-by-step explanation:

Answer:

4x -5

Step-by-step explanation:

3+2 (2x - 4)

Distribute

3 + 2*2x - 2*4

3+4x - 8

Combine like terms

4x +3-8

4x -5

Answer:

4x - 5

Step-by-step explanation:

3+ 2 (2x) + 2 (-4)

3+4x - 8

Answer: 8 > u > 6. I hope it helps!

Answer:

range = 22

Step-by-step explanation:

98-76

Answer:

C. median = 89, mean = 89

range = 22

Step-by-step explanation:

Answer:

I found 6 answers

Step-by-step explanation:

Answer:

depends on what car you are driving and its gas mileage

Therefore by solving the question from the equation we get ,total money he has now is $(m+100)/2

equation, a declaration of equivalence between two expressions with variable- and/or number-filled expressions. In essence, equations are questions, and efforts to discover a method for answering them have fueled the growth of mathematics. Equations range in complexity from straightforward addition-and-multiplication equations in mathematics through differential equations, exponential equations that use exponential expressions, and integral equations.

Here,

He got $m for his birthday

therefore he spent half the money the money left =m/2

and he got extra $50

Thus

total money he has now is = m/2 +50

or m+100/2

Therefore ,total money he has now is $(m+100)/2

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As per the reference document attached thereby along with the question statement, if (∠SOX = 160°), [∠1 = (x + 14)], and [∠2 = (3x – 10)], then the measure of ∠2 in degrees will be 113°

As per the reference document attached thereby along with the question statement, (∠SOX = 160°), and it's constituent angles

[∠1 = ∠SOW = (x + 14)], and [∠2 = ∠WOX = (3x – 10)],

And we are required to determine the measure of ∠2.

Since, [(∠SOW + ∠WOX) = ∠SOX],

Therefore, [{(x + 14) + (3x – 10)} = 160°]

Or, [{(x + 3x) + (14 - 10)} = 160°]

Or, [(4x - 4) = 160°]

Or, [4x = (160 + 4)°]

Or, (4x = 164°)

Or, [x = (164/4)°]

Or, (x = 41°)

Or, [(3x – 10) = {(3 * 41) - 10}°]

Or, [∠2 = (123 - 10)°]

Or, (∠2 = 113°)

That is, if (∠SOX = 160°), and it's constituent angles (∠1) and (∠2) measure as [∠1 = ∠SOW = (x + 14)], and [∠2 = ∠WOX = (3x – 10)], then the measure of ∠2 in degrees will be 113°

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