If the liquid continues to cool at the same rate, what will

the temperature be at 3 PM? Explain.

Answer:

pretty sure its 21

Step-by-step explanation:

21            21 times 10 is 210

42

63

84      

mark brainleist if right

The area of the polygon with the vertices (-4, 5), (-1, 5), (4, -3), and (-4, -3) is 12 square units.

To calculate the area of the polygon, we can use the shoelace formula, also known as Gauss's area formula or the surveyor's formula. The formula involves writing the x-coordinates and y-coordinates of the vertices in a specific order and performing a series of calculations.

1. We write the x-coordinates of the vertices in one row, repeating the first coordinate at the end: -4, -1, 4, -4.

2. We write the y-coordinates of the vertices in the next row, in the same order: 5, 5, -3, -3.

3. Next, we multiply each pair of adjacent x and y coordinates and add them together in a counterclockwise direction.

4. Then, we subtract the sum of the products of the y-coordinates and the x-coordinates in a counterclockwise direction.

5. Taking the absolute value of this result, we divide it by 2 to obtain the area.

Applying the shoelace formula:

Area = |((-4*5) + (-1*-3) + (4*-3) + (-4*5)) - (5*-1 + 5*4 + -3*-4 + -3*-4)| / 2

    = |-49 - (-25)| / 2

    = |-24| / 2

    = 12 / 2

    = 12.

Therefore, the area of the polygon with the given vertices is 12 square units.

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Answer:

y = 3x - 8

Step-by-step explanation:

passes through (5, 7) and (4, 4)

Find slope:

(7 - 4) / (5 - 4)

= 3/1

= 3

This is your slope.

Now plug in a set of coordinates.

y = 3x + b

7 = 3(5) + b

7 = 15 + b

b = -8

Your equation is: y = 3x - 8

Check your work by plugging in the second coordinate pair.

y = 3x - 8

4 = 3(4) - 8

4 = 12 - 8

4 = 4

Your solution is correct.

Answer:

1.5 tablespoons of sugar

Step-by-step explanation:

Here's a Python program (Filename: optimization.py) to perform the optimization problem: Minimize x

3
 −2cos(x)+9 s.t. 0≤x≤2The optimization problem is to find the minimum value of x
3
 −2cos(x)+9 when 0≤x≤2. This optimization problem can be approximately solved by simply searching in the feasible range. In the program, you can simply define a list x = [0, 0.01, 0.02, …, 1.98, 1.99, 2.0]. Also, define an objective function as f(x) = x
3
 −2cos(x)+9 and search for the minimum f(x) of different values in the list x.```python
import math
x = [0.01*i for i in range(201)]
min_val = 1e18
opt_x = 0
def f(x):
   return x**3 - 2*math.cos(x) + 9
for xi in x:
   if xi>=0 and xi<=2:
       fval = f(xi)
       if fval

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Answer:

c

Step-by-step explanation:

The 90% confidence interval for the difference in the population means is -2.51 to 0.31

From the question, we have the following parameters that can be used in our computation:

xˉ₁ = −17.1

s₁² = 8.4

n₁ = 22

​xˉ₂ = −16.0

s₂² = 8.7

n₂ = 24

Calculate the pooled variance using

P = (df₁ * s₁² + df₂ * s₂²)/df

Where

df₁ = 22 - 1 = 21

df₂ = 24 - 1 = 23

df = 22 + 24 - 2 = 44

So, we have

P = (21 * 8.4 + 23 * 8.7)/44

P = 8.56

Also, we have the standard error to be

SE = √(P/n₁ + P/n₂)

So, we have

SE = √(8.56/22 + 8.56/24)

SE = 0.86

The z score at 90% CI is 1.645, and the CI is calculated as

CI =  (x₁ - x₂) ± z * SE

So, we have

CI = (-17.1 + 16.0) ± 1.645 * 0.86

This gives

CI = -1.1 ± 1.41

Expand and evaluate

CI = (-2.51, 0.31)

Hence, the confidence interval is -2.51 to 0.31

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Answer:

D = 1 8.87961173

Round off to the whole number

D= 19m

Explanation of results

So to find d you will use the trigonometry formula

So you are given the

Degree which is 39°

and the hypotenuse which is 30m

Using the sin θ = Opposite Side/Hypotenuse you are going to put in the numbers where they should go in the formula so,

\( \sin(39) = \frac{d}{30} \)

then you are going to isolate d on the right by multiplying 30 on both sides.

It will look like

30 Sin 39

So, just put this in the calculator

Answer: (a) 2, (b) 4, (c) - 4, (d) -3. (look at the image for the solution)

Step-by-step explanation:

Answer: 88 inches

Step-by-step explanation:

A bicycle tire is 28 inches in diameter. approximately.

To find the distance traveled by the bicycle each time the wheel goes around we need to find the circumference of the tire.

The circumference of a circle: where d is the diameter of the circle.

Now, the circumference of the tire:

Hence, the distance traveled by the bicycle each time the wheel goes around  =88 inches.

A  marketing research firm was hired to conduct a study on the number of alcoholic drinks consumed by individuals in a metropolitan area over a week's time. The firm would sample adults, collect data through surveys or interviews, and analyze the data to gain insights into drinking patterns in the area.

The purpose of this study is to understand the drinking patterns of individuals in the metropolitan area. By conducting this research, the marketing research firm aims to gain insights into the average number of alcoholic drinks consumed by adults in a week's time.

The firm would start by selecting a representative sample of adults from the metropolitan area. This sample should be diverse and reflect the demographics of the population.

The firm may use random sampling methods to ensure that the sample is unbiased and representative.

Once the sample is selected, the marketing research firm would then administer a survey or conduct interviews with the participants. The survey or interviews would include questions about the number of alcoholic drinks consumed by the individuals over the course of a week. The participants may be asked to provide estimates or keep a diary of their drinking habits.

After collecting the data, the marketing research firm would analyze it to determine the average number of alcoholic drinks consumed by adults in the metropolitan area during a week. They may also look for patterns or trends in the data to understand the factors that influence drinking habits.

This study aims to provide valuable information for understanding and addressing alcohol consumption in the metropolitan area.

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Answer:

7/4

Step-by-step explanation:

i am sooo sure that  the answer is 1.75

Answer:

Angle BAC= Angle DBC ( vertically opposite angels are equal)

Therefore, Angle DBC = 32 degree

Step-by-step explanation:

I hope it is correct.

Answer:

8. 24 cm²

9. 72 cm²

10. 20k²

Step-by-step explanation:

Let's come up with a rule, then we will solve all problems.

We start by answering this question.

If the area of one figure is enlarged by a scale factor of k to get to a second figure, by what factor does the area of the second figure change?

There are two figures with a scale factor of k.

For example, there is a square with side s.

Then there is a second square which is enlarged by a factor of k, k > 1.

The side of the enlarged square is ks.

area of square = (side)²

The area of the smaller square is s².

The area of the larger square is (ks)² = k²s².

scale factor from old to new = (new length) / (old length)

The scale factor is ks/s = k

The ratio of the areas is k²s²/s² = k²

From here we see that if the side is enlarged by a factor of k, then the area is enlarged by a factor of k².

The area is enlarged by the square of the scale factor. To find the new area, multiply the old area by the square of the scale factor.

Now we solve problems 8, 9, 10.

Question 8:

original area = 6 cm²

scale factor = 2 = k

factor of the area = k² = 2² = 4

enlarged area = 6 cm² × 4 = 24 cm²

Question 9:

original area = 8 cm²

scale factor = 3 = k

factor of the area = k² = 3² = 9

enlarged area = 8 cm² × 9 = 72 cm²

Question 10.

original area = 20 cm²

scale factor = k

factor of the area = k²

enlarged area = 20 cm² × k² = 20k² cm²

Answer:

Step-by-step explanation:

2y = -3x - 4

y = -3/2x - 2

perp.:2/3

y - 0 = 2/3(x + 6)

y = 2/3x + 4

Answer:

x = 7 , ∠ A = 36°

Step-by-step explanation:

since ∠ ADB ≅ ∠ CBD ( alternate angles )

and ∠ ABD ≅ ∠ CDB ( alternate angles )

then ABCD is a parallelogram

the opposite angles of a parallelogram are congruent , so

∠ C = ∠ A , that is

8x - 20 = 3x + 15 ( subtract 3x from both sides )

5x - 20 = 15 ( add 20 to both sides )

5x = 35 ( divide both sides by 5 )

x = 7

Then

∠ A = 3x + 15 = 3(7) + 15 = 21 + 15 = 36°

Answer: x = 7 and m∠A = 36

Step-by-step explanation:

Here ∠ADB ≅ ∠CBD and ∠ABD ≅ ∠CDB

This configuration is found when a quadrilateral has two parallel sides which have a diagonal as their transversal. Thus the figure is of parallelogram. In a parallelogram, opposite angles are equal. Thus m∠A = m∠C

⇒3x +15 = 8x - 20

⇒3x + 15 - 3x = 8x - 3x -20

⇒5x = 20 + 15

⇒x = 7

Now m∠A = (3X7) +15 = 36

Answer:

x = -1, x=-0.5

Step-by-step explanation:

Use the quadratic formula. The equation you have has a base formula of ax^2+bx+c, so if you plug the numbers into the formula and solve, it should show the answers.

Answer:

4

Step-by-step explanation:

27+10(x)

15+13(x)

27+10(4)=67

15+10(4)=67

Answer: \(26.4\ \text{days}\)

Step-by-step explanation:

Given

Half life of radioactive substance is \(T_{\frac{1}{2}}=20\ \text{days}\)

Initial amount \(A_o=2\ \text{days}\)

Amount left at any time is given by

\(\Rightarrow A=A_o2^{\dfrac{-t}{T_{\frac{1}{2}}}}\\\\\Rightarrow 2=52^{\dfrac{-t}{20}}\\\\\Rightarrow 0.4=2^{\dfrac{-t}{20}}\\\\\Rightarrow 2^{\dfrac{t}{20}}=2.5\\\\\Rightarrow \dfrac{t}{20}\ln 2=\ln (2.5)\\\\\Rightarrow t=\dfrac{20\ln (2.5)}{\ln 2}\\\\\Rightarrow t=26.4\ \text{days}\)

It takes 26.4 days to reach 2 gm.

Multiply the number of chairs by the price of the chair:

34 x 205 = 6,970

Total spent = $6,970

Answer:

200020ft

Step-by-step explanation:

The coordinates of an undefined slope are points that are either the same or have no x-value. In both cases, the slope of a line between these points would be undefined because it would involve dividing by 0, which is not allowed in mathematics. This is because the slope of a line is calculated by dividing the difference in y-coordinates by the difference in x-coordinates, and if the x-coordinates are the same or do not exist, this division would result in an undefined value.

Answer:

The value of proper fractions is found in between 0 and 1.

Step-by-step explanation:

Proper fractions are fractions where the denominator is greater than the numerator.

If the numerator is greater than the denominator, then it is an improper fraction.

Common Examples of Proper fractions:

1/4, 1/2, 2/3

Common Examples of Improper fractions:

3/2, 2/1, 7/4

Answer:

$23

Step-by-step explanation:

50 + 19 is 69, and since Justin wants to divide the money into 3 parts. Just divide the total (69) by 3, to get 23. So, Justin will put $23 into the three of the accounts.

Answer:

A. 106

Step-by-step explanation:

Use the correct order of operations.

(8 + 2)² + (6 − 4) × 3 =

= 10² + 2 × 3

= 100 + 6

= 106

Answer:

x= 17

HJ= 27

JK= 153

HK= 180

Step-by-step explanation:

If HJ=x+10

JK=9x

KH=14x−58

a) The diagram of sketch of the segments described above is attached to this answer.

b) KH = HJ + JK

14x - 58 = (x + 10) + 9x

14x - 58 = x + 10 + 9x

c)

14x - 58 = x + 10 + 9x

14x - 58 = 10x + 10

Collect like terms

14x - 10x = 10 + 58

4x = 68

Divide both sides by 4

4x/4 = 68/4

x = 17

d)

x= 17

HJ= x + 10

= 17 + 10

= 27

Hence, HJ = 27

JK= 9x

= 9 × 17

= 153

Hence, JK = 153

HK=14x −58

HK = 14 × 17 - 58

= 238 - 58

= 180

Hence, HK = 180