Using the matrix at the right that reprexents rectangle ABCD, list the coordinates of C:

Answer:

2(x^2 +4)-5

Step-by-step explanation:

6^2= 36

36+4= 40

40x2=80

80-5=75

6(6^2 + 4) -5

Answer:

The ratio of 8:5 = 160%

Step-by-step explanation:

1. Divide the first number by the second number

2. Multiply by 100 to convert to a percentage

Answer:

7 :ans is 10

8: ans is 25

9: ans is 46

Hi there!

[tex]\large\boxed{\text{At (-1, -2), }\frac{dy}{dx} = -\frac{2}{5}}}[/tex]

[tex]\large\boxed{\text{At (-1, 3), }\frac{dy}{dx} = -\frac{3}{5}}}[/tex]

We can calculate dy/dx using implicit differentiation:

xy + y² = 6

Differentiate both sides. Remember to use the Product Rule for the "xy" term:

(1)y + x(dy/dx)  + 2y(dy/dx) = 0

Move y to the opposite side:

x(dy/dx) + 2y(dy/dx) = -y

Factor out dy/dx:

dy/dx(x + 2y) = -y

Divide both sides by x + 2y:

dy/dx = -y/x + 2y

We need both x and y to find dy/dx, so plug in the given value of x into the original equation:

-1(y) + y² = 6

-y + y² = 6

y² - y - 6 = 0

(y - 3)(y + 2) = 0

Thus, y = -2 and 3.

We can calculate dy/dx at each point:

At y = -2: dy/dx = -(-2) / -1+ 2(-2) = -2/5.

At y = 3: dy/dx = -(3) / -1 + 2(3) = -3/5.

Answer:

68.56 m

Step-by-step explanation:

circumference of semi-circle:  15π/2 = 23.56

23.56 + 12 + 12 + 21 = 68.56

Answer:

wth is this

show the pic of the question

Answer:

B

Step-by-step explanation:

Answer:

24j + 24

Step-by-step explanation:

6(3j + 4 +j)

6(4j + 4)

24j + 24

Answer:

The graph shows the function

✔ y = sin(x) – 6

.

The function rule y = cos(x) + 2 describes graph

✔ b shown here.

Answer:Distributive

Step-by-step explanation:

Answer:

B. [tex] \frac{9}{20}\pi [/tex]

Step-by-step explanation:

Central angle [tex] \theta = 81\degree [/tex]

Radius (r) = 1 unit

[tex] l(\widehat {HJ}) = \frac{\theta}{360\degree} \times 2\pi r[/tex]

[tex] l(\widehat {HJ}) = \frac{81\degree}{360\degree} \times 2\pi r[/tex]

[tex] l(\widehat {HJ}) = \frac{81}{360} \times 2\pi (1)[/tex]

[tex] l(\widehat {HJ}) = \frac{9}{40} \times 2\pi [/tex]

[tex] l(\widehat {HJ}) = \frac{9}{20}\pi [/tex]

The dot plot is missing, so i have attached it.

Answer:

B: there are about 2 more students in each class at Oak Middle School than at Poplar Middle School.

Step-by-step explanation:

From the dot plot attached, we can find the average number of students per class for each school.

For Poplar Middle School;

Total number of students = (20 × 3) + (21 × 5) + (22 × 7) + (23 × 4) + (24 × 1) = 435 students.

There are 20 classes.

Thus;

average number of students per class = 435/20 = 21.75

For Oak Middle School;

Total number of students = (20 × 1) + (21 × 2) + (22 × 2) + (23 × 4) + (24 × 3) + (25 × 2) + (26 × 2) + (27 × 2) + (28 × 1) + (29 × 1) = 483

Average number of students per class ; 483/20 = 24.15

Difference in average = 24.15 - 21.75 = 2.40

This implies that there are about 2 more students in each class at Oak Middle School than at Poplar Middle School.

Answer:

da answer is B lesss goooo

Step-by-step explanation:

Answer:

3. m<4=101°

4. sum of angle on a straight line

5. m<8= 101°

6.m<3=180-101°

=79°

7.sum =180°

8. alternate angles

9. and m<8

10. 180°

Answer:

3.

m<1=79°

m<4=180-79°=101°(linear pair)

4.

<7+<8=180°(straight line)

5.

m<6=101

m<8=101°[vertically opposite angle]

6.

m<3=180-101=79°

7.

180°

8.

alternate angle

9.

and <8

10.

180°

Answer:

See below

Step-by-step explanation:

The side opposite angle E is side e (DF)

The side adjacent to angle E is side d (EF)

The hypotenuse is side f (ED)

Answer:

The researcher needs 20 milliliters of 11 percent concentrated acid and 10 milliliters of 2 percent concentrated acid.

Step-by-step explanation:

Given that a researcher wants a 30 milliliter acid solution with a concentration of 8%, and she has concentrations of 2% and 11%, to determine how much of each solution must she use to get the desired concentration, the following calculation must be performed:

100 x 0.11 + 0 x 0.02 = 11

90 x 0.11 + 10 x 0.02 = 10.1

80 x 0.11 + 20 x 0.02 = 9.2

70 x 0.11 + 30 x 0.02 = 8.3

66.666 x 0.11 + 33.333 x 0.02 = 8

30 x 0.6666 = 20

Therefore, the researcher needs 20 milliliters of 11 percent concentrated acid and 10 milliliters of 2 percent concentrated acid.

Answer:

54,000+800+70+2

Step-by-step explanation:

Answer:

Here is an answer

54,000+800+70+2

Answer:

No  If it would be 10 percent of the total would be the price tag without tax

Step-by-step explanation:

PQ=11

PS^2+SR^2=QR^2

PS^2+PS^2=PQ^2

9514 1404 393

Answer:

  11 cm

Step-by-step explanation:

The law of cosines can be helpful here. In order to find PQ, we must know the cosine of the angle R. Fortunately, SOH CAH TOA reminds us it is ...

  Cos = Adjacent/Hypotenuse

  cos(R) = 10/14 = 5/7

__

The law of cosines gives us the relation ...

  PQ^2 = PR^2 +QR^2 -2·PR·QR·cos(R)

  PQ^2 = 15^2 +14^2 -2(15)(14)(5/7) = 121

  PQ = √121 = 11

The length of PQ is 11 cm.

_____

Alternate solution

This can be solved using the Pythagorean theorem twice.

  QS^2 = QR^2 -SR^2 = 14^2 -10^2 = 96

  PQ^2 = PS^2 +QS^2 = 5^2 +96 = 121

  PQ = √121 = 11

Answer:

angle O is equal to 41°

I hope it's helps you

Answer:

72.2566311

Step-by-step explanation:

Circumference = 2πr

We don't have the radius, but we do know that half of the diameter is the radius, so 23/2 = 11.5. r = 11.5

Now, plug the radius into the equation:

2π(11.5)

Solve:

2π(11.5) = 72.2566311

Answer:

1/4

Step-by-step explanation:

.

Answer:

(C)

Step-by-step explanation:

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Answer:

The mean until the supplement is published is 140 months, while the standard deviation is of 11.8 months.

Step-by-step explanation:

The Poisson distribution is used to solve this question, as we have only the mean. In this distribution, the standard deviation is the square root of the mean.

In this question, we have that:

Species are discovered at a rate of once every 7 months.

A supplement to a guide is planned to be published after 20 new species have been discovered.

a) What are the expected value and standard deviation of the number of months (treated as a continuous measure of time) until the supplement is published?

Mean is: 7*20 = 140 months.

Standard deviation is [tex]\sqrt{140}[/tex] = 11.8 months.

The mean until the supplement is published is 140 months, while the standard deviation is of 11.8 months.

Answer:

sides.

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Answer:

0.9544 = 95.44% probability that the average fill for the 100 drums is between 49.88 and 50.12 gallons.

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal Probability Distribution:

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

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score 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 p-value, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

Suppose the mean fill for the shipment is actually 50 gallons. Standard deviation of 0.6 gallons.

This means that [tex]\mu = 50, \sigma = 0.6[/tex]

Sample of 100:

This means that [tex]n = 100, s = \frac{0.6}{\sqrt{100}} = 0.06[/tex]

What is the probability that the average fill for the 100 drums is between 49.88 and 50.12 gallons?

This is the pvalue of Z when X = 50.12 subtracted by the pvalue of Z when X = 49.88. So

X = 50.12

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

By the Central Limit Theorem

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

[tex]Z = \frac{50.12 - 50}{0.06}[/tex]

[tex]Z = 2[/tex]

[tex]Z = 2[/tex] has a pvalue of 0.9772

X = 49.88

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

[tex]Z = \frac{49.88 - 50}{0.06}[/tex]

[tex]Z = -2[/tex]

[tex]Z = -2[/tex] has a pvalue of 0.0228

0.9772 - 0.0228 = 0.9544

0.9544 = 95.44% probability that the average fill for the 100 drums is between 49.88 and 50.12 gallons.

Answer: That would be $11.42

Step-by-step explanation: Hope this helped!! :)