9. Is the temperature of melting slush a function of the time in minutes? (Explain your answer.)

The area of the parcel of land is 226934.799 square feet.

Given:

a triangular parcel of land has sides of lengths 590 feet, 980 feet and 1423 feet.

a).

Let a = 590 , b = 980, c = 1423  lengths

s = semi-perimeter

= 1/2(a+b+c)

= 1/2(590+980+1423)

= 1496.5

s-a = 1496.5-590

= 906.5

s-b = 1496.5-980

=516.5

s-c = 1496.5-1423

= 73.5

Heron's formula for area:

A = \(\sqrt{(s(s-a)(s-b)(s-c))}\)

= √1496.5(906.5)(516.5)(73.5)

= √51499402997.4

≈ 226934.799

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\(\huge\red{ƢƲЄƧƬƖƠƝ}\)

Evaluate 6(8-3)

A 45

B 30

C 56

D11

\(\huge\green{ƛƝƧƜЄƦ}\)

B.30

Answer:

1. 48

2. 168

3. 400

4. 126

5. 48

6. 154

7. 270

Answer:

X = 3°

Step-by-step explanation:

Since O and T are parallel you can use alternating lines

7x + 5° = 5x + 11° (alt. angles, O||T)

Move the 5x and the 5°

7x - 5x = 11° - 5°

2x = 6°

Divide both sides by 2

x = 3°

This is assuming 11 is an angle

Equation in standard form with an x-intercept of 4 and a y-intercept of 5 is y = -5/4(x) + 5.

Given:

x - intercept = 4

y - intercept = 5

At x intercept y = 0 and at y intercept x = 0

(4,0) and (0,5)

slope = 5-0/0-4

= 5/-4

m = -5/4

substitute (4,0) and m value,

y = mx+c

0 = -5/4*4 +c

0 = -5 + c

c = 5

y = mx + c

y = -5/4(x) + 5.

Therefore equation in standard form with an x-intercept of 4 and a y-intercept of 5 is y = -5/4(x) + 5.

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The positive value of c that makes the function f(x) = xe^(-x)ce^(-x) have an absolute minimum at x = -5 is approximately 16.05.

To find the value of c that gives an absolute minimum at x = -5, we need to analyze the behavior of the function. First, we differentiate f(x) with respect to x to find the critical points. The derivative of f(x) is f'(x) = -x^2e^(-2x)ce^(-x). Setting f'(x) = 0 and solving for x, we find x = 0 as a critical point.

However, we are interested in finding the value of c that results in an absolute minimum at x = -5. Plugging x = -5 into f(x), we get f(-5) = -5e^(5)c^(-5)e^(5). Since e^5 is positive, to minimize f(-5), c should be as large as possible. Taking the limit as c approaches infinity, we find that f(-5) approaches 0.

Therefore, c should be a large positive value. Calculating the exact value, we find c ≈ 16.05 gives an absolute minimum at x = -5 for the function f(x).

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The value of the given integral is `1/2` e^(2x) + `49/4` e^(4x) + C.

The function is `e^(2x) + 49e^(4x)`.

To calculate the indefinite integral, follow the steps given below:

Step 1: Consider the integral ∫`e^(2x) + 49e^(4x) dx`

Step 2: Integrate the first term ∫`e^(2x) dx`We know that ∫e^u du = e^u + C. Here, u = 2x. Therefore, ∫`e^(2x) dx` = `1/2` ∫e^u du = `1/2` e^(2x) + C1, where C1 is the constant of integration.

Step 3: Integrate the second term ∫`49e^(4x) dx`We know that ∫e^u du = e^u + C. Here, u = 4x. Therefore, ∫`49e^(4x) dx` = `49/4` ∫e^u du = `49/4` e^(4x) + C2, where C2 is the constant of integration.

Step 4: Combine the results obtained in Step 2 and Step 3 to get the final result.∫`e^(2x) + 49e^(4x) dx` = `1/2` e^(2x) + `49/4` e^(4x) + C, where C is the constant of integration.

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The indefinite integral of the given function is:

∫(e^2x + 49e^4x) dx = (1/2)e^2x + (49/4)e^4x + c, where c is the constant of integration.

To find the indefinite integral of the given function, which is ∫(e^2x + 49e^4x) dx, we can apply the power rule for integration and the constant multiple rule. Here's the step-by-step solution:

∫(e^2x + 49e^4x) dx

Integrating e^2x:

∫e^2x dx = (1/2)e^2x + c₁ (Applying the power rule: ∫e^kx dx = (1/k)e^kx + C)

Integrating 49e^4x:

∫49e^4x dx = (49/4)e^4x + c₂ (Applying the power rule and constant multiple rule)

Combining the results:

∫(e^2x + 49e^4x) dx = (1/2)e^2x + c₁ + (49/4)e^4x + c₂

Since c₁ and c₂ are arbitrary constants, we can combine them into a single constant. Let's denote it as c:

∫(e^2x + 49e^4x) dx = (1/2)e^2x + (49/4)e^4x + c

Therefore, the indefinite integral of the given function is:

∫(e^2x + 49e^4x) dx = (1/2)e^2x + (49/4)e^4x + c, where c is the constant of integration.

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Answer:

its 3.01

Step-by-step explanation:

Right on edge

The standard deviation is 2.08.

A standard deviation (or σ) is a measure of how dispersed the data is in relation to the mean. Low standard deviation means data are clustered around the mean, and high standard deviation indicates data are more spread out.

We have the data,

X     :   0     1     2     5     10

P(X) :  0.4  0.2  0.2  0.1  0.1

CF   : 0.4   0.6  0.8  0.9  1

Sum of fx = 2.5

Mean = 2.5

Deviation X = -2.1 -2.3 -2.1 -2 -1.5

X² = 4.41 5.29 4.41 4 2.25

fX² = 1.764 1.058 0.882 0.4 2.225

Now, standard deviation

= √4.329/1

= 2.08

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Answer:

A) 100g

B) 350g

C)2/7

D) 300g

Step-by-step explanation:

A) 3/2 =1.5

2x1.5=3

150/1.5=100

B)2x25=50

50+300=350

C) 100/350=2/7

D) 1/7 of 350 = 50

350-50=300

The solution to all parts of the question are given below.

Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.

Given is George who wants to make a cake. The recipe requires 150 g each of flour, sugar and butter, and 3 eggs. George only has 2 eggs so he decides to make a smaller cake with the same proportions.

[1]

For 3 eggs - 150g of flour is needed

For 1 egg - 150/3 of flour is needed

So, for 2 eggs - (150 x 2)/3 or 100g of flour is needed.

[2]

Total weight with 2 eggs =

3 x 100 + 2 x 25

350 grams

[3]

In the cake with 2 eggs, percentage of flour will be -

(100/350) x 100

28.57%

[4]

Initial weight = 350 g

Weight After baking = 350 - (1/7) x 350 = 350 - 50 = 300g

Therefore, the solutions to all the parts are given above.

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As per the Maclaurin series, the value of the function is written as 2.8521

The term Maclaurin series is defined as  a function that has expansion series that gives the sum of derivatives of that function.

Here we have given that the function is \(\sum\frac{(-1)^n\pi^{2n}}{4^{2n}(2n)!}\)

And we need to find the sum of series by using the Maclaurin series as

Now, the sum of series is calculated as,

=>f(n) =  \(\sum\frac{(-1)^n\pi^{2n}}{4^{2n}(2n)!}\)

When we put the value on n = 0, then we get,

=> f(0) = [1 x 3.14]/1] =  3.14

Now, we have to put the value of the function, the value of x as 1,

Then we get,

=> f(1) = [-1 x 9.8596] / [16 x 2]

=> f(1) = -0.308

And then we have to put the value of function for the value of x as 2,

Then we get,

=> f(2) = [1 x 30.959] / [64 x 24]

=> f(2) = 0.0201

Then the sum of the series is

=> 3.14 - 0.308 + 0.0201

=> 2.8521

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The proof of  AB ≅ CD is given below.

What is triangle?

Three vertices make up a triangle, a three-sided polygon. The triangle's angles are formed by a point where the three sides are joined end to end. The triangle's three angles add up to a total of 180 degrees.

Given:  BD and AC bisect each other.

So, AE = AC  and BE = ED

Consider the triangles  ΔAEB and , ΔECD

Given,

AE = EC                         ...S

BE = ED                         ....S

Here, lines BC and AD intersects at point E, so

 m ∠AEB = m ∠DEC               ....A

Therefore, from SAS congruency,

ΔAEB ≅ ΔECD

Hence,  AB ≅ CD

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Answer:

Step-by-step explanation:

a) Out of 5, 1 only one is wrong. So number of questions answered correctly is (4/5)

To find the percentage, multiply (4/5) by 100

    \(\sf \dfrac{4}{5}*100 = 4* 20 = 80 \%\)

b) It is not possible to find the actual score because we don't know how many questions were there actually and the score for each question.

Answer:

jajajjajaja

Step-by-step explanation:

sdfgsdfgsdfg

Answer:

y = -2/3x + 5 1/3

Step-by-step explanation:

Find the slope:

4 - 6 / 2 - (-1) = -2/3

Put it in point-slope form:

y - 6 = -2/3(x + 1)

rearrange:

y - 6 = -2/3x - 2/3

y = -2/3x + 5 1/3

19+13=32

32+63=95

95-4=91

91+10=101

This means that 101 people are now on the bus.

HOPE THIS HELPS <3

Answer:

m∠JKM = 63°

m∠MKL = 27°

Step-by-step explanation:

Since ∠JKL is a right angle. This means that by summing up both m∠JKM and m∠MKL will result in the same as ∠JKL figure. Thus, m∠JKM + m∠MKL = m∠JKL which is 90° by a right angle definition.

\(\displaystyle{\left(12x+3\right)+\left(6x-3\right) = 90}\)

Solve the equation for x:

\(\displaystyle{12x+3+6x-3 = 90}\\\\\displaystyle{18x=90}\\\\\displaystyle{x=5}\)

We know that x = 5. Next, we are going to substitute x = 5 in m∠JKM and m∠MKL. Thus,

m∠JKM = 12(5) + 3 = 60 - 3 = 63°

m∠MKL = 6(5) - 3 = 30 - 3 = 27°

Answer:

Step-by-step explanation:

I would say: "Constant of proportionality" and "rise over run" would both descri=be slope. Certainly the latter one.

The pitch is rise/run (also called the slope in math) = 3.6 meters/12 meters = 0.3

When the null hypothesis is rejected in error it is a type II error. Hence the correct answer is A.

A Type II error occurs when the null hypothesis is incorrectly rejected. In other words, a Type II error happens when we fail to reject the null hypothesis even though it is actually false.

Option B refers to rejecting the research hypothesis in error, which is a Type I error. Type I error occurs when the null hypothesis is true, but we mistakenly reject it.

Option C refers to study underpower, which means the study lacks sufficient sample size or statistical power to detect a true effect if it exists. This is not directly related to Type II error.

Option D refers to study blinding, which is a method to minimize bias in research. However, it is not specifically related to Type II error.

Option E refers to accepting the research hypothesis in error, which is again a Type I error.

Therefore, the correct description of a Type II error is "A. The null hypothesis is rejected in error."

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Answer:

triangle =3

square= -2

star=7

circle=4

◇=18

right angled triangle= -5

Step-by-step explanation:

2triangle-1=5

+1 +1

2 triangles=6

1 triangle=3

3+ what is equal to one

the answer is -2

3-(2×-2)

3--4=7

second puzzle

3 circles =12

1 circle =4

◇+2=5 circles

◇+2=20

-2 -2

◇=18

2○=◇+ 2 right angle triangles

8= 18 + 2 right angled triangles

-10= 2 right angled triangles

-5= right angled triangle

To find f(t), we need to apply the inverse Laplace transform to the given function F(s).

f(t) = -5 √π e^(-16t), for t ≥ 0.

Given: F(s) = -5s e^(s²+16)

To find f(t), we can use the following inverse Laplace transform:

L^(-1){F(s)} = f(t)

To apply the inverse Laplace transform, we need to rewrite the function F(s) in a form that matches a known transform pair.

Let's simplify the expression first:

F(s) = -5s e^(s²+16)

= -5s e^16 e^(s²)

Now, let's compare this with known Laplace transform pairs. The transform pair we need is:

L{e^(a²)} = √π/a e^(-s²/a²)

Comparing this with our expression, we can see that:

e^(s²) = e^(a²)

s² = a²

This implies:

s = ±a

Using the known Laplace transform pair, we can write:

L^(-1){F(s)} = L^(-1){-5s e^16 e^(s²)}

= -5 L^(-1){s e^16 e^(s²)}

= -5 L^(-1){e^(s²+16)}

Now, applying the inverse Laplace transform to L^(-1){e^(s²+16)}, we obtain:

f(t) = -5 √π e^(-16t) for t ≥ 0

Therefore, the expression for f(t) is:

f(t) = -5 √π e^(-16t), for t ≥ 0.

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The statement that shows equivalent measurements is "52 meters = 520 decimeters." Option C.

To determine the equivalent measurements, we need to understand the relationship between different metric units.

In the metric system, each unit is related to others by factors of 10, where prefixes indicate the magnitude. For example, "deci-" represents one-tenth (1/10), "centi-" represents one-hundredth (1/100), and "kilo-" represents one thousand (1,000).

Let's analyze each statement:

5.2 meters = 0.52 centimeters: This statement is incorrect. One meter is equal to 100 centimeters, so 5.2 meters would be equal to 520 centimeters, not 0.52 centimeters.

5.2 meters = 52 decameters: This statement is incorrect. "Deca-" represents ten, so 52 decameters would be equal to 520 meters, not 5.2 meters.

52 meters = 520 decimeters: This statement is correct. "Deci-" represents one-tenth, so 520 decimeters is equal to 52 meters.

5.2 meters = 5,200 kilometers: This statement is incorrect. "Kilo-" represents one thousand, so 5.2 kilometers would be equal to 5,200 meters, not 5.2 meters.

Based on the analysis, the statement "52 meters = 520 decimeters" shows equivalent measurements. So Option C is correct.

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Note the correct and the complete question is

Select the statement that shows equivalent measurements.

A.) 5.2 meters = 0.52 centimeters

B.) 5.2 meters = 52 decameters

C.) 52 meters = 520 decimeters

D.) 5.2 meters = 5,200 kilometers

Answer: 35 / 66

Step-by-step explanation:

Given the data bekow:

Outcome : - - - 1 - - - 2 - - - 3 - - - 4 - - - 5 - - - 6

Frequency : - 12 - - - 9 - - - 11 - - 8 - - - 12 - - - 14

What is the experimental probability of spinning an odd

P(spinning an odd) = (number of occurrence of an event / number of trials)

Odd outcomes = 1, 3, 5

Frequency of 1 = 12

Frequency of 3 = 11

Frequency of 5 = 12

Number of occurrences of odd = (12 + 11 + 12) = 35

Number of trials = 66

Therefore,

P(spinning an odd) = 35 / 66

Answer:y=4

Step-by-step explanation:

Answer:

andre

Step-by-step explanation:

there is 100 cm in a meter. So diego would be 1.65 meters

Answer:

Andre

Step-by-step explanation:

1.7 meters is 170 centimeters because 1 cm is 100 meters. 165 centimeters is less than 170 meters,so Andre is taller.

The approximate area of the remaining cardboard would be = 246 cm². That is option B.

To calculate the area of the remaining cardboard = (area of rectangle) - 2(area of circle)

The formula that is used to calculate the area of rectangle = length×width

where length = 14 cm

width = 18cm

area = 14×18 = 252 cm²

The area of the 2 circle formula;

= 2(πr²)

where π = 3.14

r = 2/2 = 1

area = 2(3.14) = 6.28

Area of the remaining cardboard

= 252 cm²- 6.28

= 245.72

= 246 cm²

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Answer:

240, i think

Step-by-step explanation:

Answer: 36 is 4% of 90

Step-by-step explanation: create a fraction of 36/90 then divide both numbers by 18.

The distance between the two points from the geometrical formula for that purpose is 6.2.

The distance between two points in geometry is the length of the straight line segment that connects the two points. It is calculated using the Pythagorean theorem, which states that in a right triangle, the sum of the squares of the lengths of the two legs is equal to the square of the length of the hypotenuse.

Using the formula;

d= √(x2 - x1)^2 + (y2 - y1)^2

d = √(7.5 - 3)^2 + (6.25 - 2)^2

d = √20.25 + 18.06

d = 6.2

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