The average 5-year-old child has a mass of 20 kg. Write this mass in
scientific notation. Approximately how many times larger is the elephant
than the child? Approximately how many water drops equal the mass of the
child? Explain your thinking.

Answer:

5.024 in. squared

Step-by-step explanation:

V=1/3Bh

V=1/3(3.14)(0.8in.)*3.5

V=1/3 to 1/1 (3.14)(1.6 in)*3.5 to 1

=5.024 in. squared

Answer:

Let's assume the original price of the stock was x.

When the company announced it overestimated demand, the stock price fell by 40%.

So, the new price of the stock after the first decline was:

x - 0.4x = 0.6x

A few weeks later, when the seats were recalled, the stock price fell again by 60% from the new lower price of 0.6x.

So, the new price of the stock after the second decline was:

0.6x - 0.6(0.6x) = 0.24x

Given that the current stock price is $2.40, we can set up the equation:

0.24x = 2.40

Solving for x, we get:

x = 10

Therefore, the stock was originally selling for $10.

Answer:

2

Step-by-step explanation:

1+1=2

Answer:

6(y-2) would be 6y-12

Step-by-step explanation:

Paul will spend $1382.4 constructing the patio.

To calculate how much Paul will spend constructing the patio, we need to determine the area of the patio and then multiply it by the cost per square foot.

Looking at the scale provided, we can see that 1 cm represents 3 ft. We can use this scale to find the dimensions of the patio in feet.

The length of the patio is given as 8 cm, so the actual length in feet would be:

Length = 8 cm × 3 ft/cm = 24 ft.

Similarly, the width of the patio is given as 6.4 cm, so the actual width in feet would be:

Width = 6.4 cm × 3 ft/cm = 19.2 ft.

Now, we can calculate the area of the patio in square feet by multiplying the length and width:

Area = Length × Width = 24 ft × 19.2 ft = 460.8 sq ft.

The cost to construct the patio is $3 per square foot, so we can calculate the total cost by multiplying the area by the cost per square foot:

Total Cost = Area × Cost per square foot = 460.8 sq ft × $3/sq ft.

Total Cost = $1382.4.

Therefore, Paul will spend $1382.4 constructing the patio.

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Answer:

Michael is 33 yrs old. John is 16 yrs old.

Step-by-step explanation:

Let M = Michael's age

Let J = John's age

M + J = 49

M-17 = J

Substitute the 2nd equation for J in the 1st equation and solve for M.

M + J = 49

M + (M-17) = 49

2M - 17 = 49

2M = 49+17

2M = 66

M = 33

So Michael is 33.

M + J = 49

33 + J = 49

J = 49-33

J = 16 John is 16.

Check that the answers work

33-16 = 17

33+16+49

Answer:

John is 16 and Michael is 33

Step-by-step explanation:

(Let John’s age be x)

Michael is 17 years older than John.

The sum of their ages is 49. So:

Simplifying the equation:

Subtracting 17 from both sides gives:

Dividing both sides by 2 gives:

So, John is 16 years old. If Michael is 17 years older, we can add 17 to 16:

Therefore, John’s age is 16 and Michael’s age is 33.

The volume of the rectangular prism is the amount of space in the prism

The volume of the rectangular prism is x^3+8x^2+19x+12 cubic inches

The given parameters are:

Base area = x^2+5x+4

Height = x + 3

The volume is then calculated as:

Volume = Base area * Height

So, we have:

Volume = (x^2+5x+4) * (x + 3)

Expand

Volume = x^3+5x^2+4x + 3x^2+15x+12

Collect like terms

Volume = x^3+5x^2+ 3x^2+4x +15x+12

Evaluate the sum

Volume = x^3+8x^2+19x+12

Hence, the volume of the rectangular prism is x^3+8x^2+19x+12 cubic inches

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The number of suspects had less than two prior arrests are 3.

Given that, While reviewing the previous day’s arrest report.

Let x be the number of suspects have been arrested once before and y be the number of suspects arrested twice before.

Here, x+y=5 -----(i)

2x+3y=12 -----(ii)

From equation (i), x=5-y in equation (ii), we get

2(5-y)+3y=12

10-2y+3y=12

10+y=12

y=2

Substitute y=2 in equation (i), we get

x+2=5

x=3

Therefore, the number of suspects had less than two prior arrests are 3.

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The solution of y" + 4y sec(2z) by variation of parameters involves finding the homogeneous solution and integrating to find particular solutions.

a. The associated homogeneous differential equation is y'' + 4y = 0. The characteristic equation is r^2 + 4 = 0, which has roots r = ±2i. Thus, the general solution to the associated homogeneous equation is y_h = c1 cos(2z) + c2 sin(2z).

b. To find a particular solution to the nonhomogeneous equation, we assume a solution of the form y_p = u1(z) cos(2z) + u2(z) sin(2z), where u1(z) and u2(z) are unknown functions to be determined. Taking the first and second derivatives of y_p, we have:

y_p' = u1' cos(2z) + u2' sin(2z) - 2u1 sin(2z) + 2u2 cos(2z)

y_p'' = u1'' cos(2z) + u2'' sin(2z) - 4u1 sin(2z) - 4u2 cos(2z) - 4u1' sin(2z) + 4u2' cos(2z)

Substituting these expressions into the nonhomogeneous differential equation, we have:

u1'' cos(2z) + u2'' sin(2z) - 4u1 sin(2z) - 4u2 cos(2z) - 4u1' sin(2z) + 4u2' cos(2z) + 4u1 sec(2z) cos(2z) + 4u2 sec(2z) sin(2z) = 0

Equating the coefficients of cos(2z) and sin(2z), we get the following system of equations:

u1'' - 4u2' + 4u1 sec(2z) = 0

u2'' + 4u1' + 4u2 sec(2z) = 0

To solve for u1(z) and u2(z), we integrate each equation twice. The first equation gives:

u1' - 2u2 tan(2z) + 2u1 sec(2z) tan(2z) = C1

where C1 is an arbitrary constant of integration. Integrating once more, we have:

u1 = C1 integral of sec(2z) dz + C2

where C2 is another arbitrary constant of integration. Using the identity sec(2z) = 1/cos(2z), we can evaluate the integral to get:

u1 = C1/2 ln|cos(2z)| + C2

Similarly, the second equation gives:

u2' + 2u1 tan(2z) + 2u2 sec(2z) tan(2z) = C3

where C3 is another arbitrary constant of integration.

Integrating once more, we have:

u2 = C3 integral of sec(2z) dz + C4

where C4 is another arbitrary constant of integration. Using the same identity as before, we get:

u2 = C3/2 ln|cos(2z)| + C4

Therefore, the particular solution to the nonhomogeneous differential equation is:

y_p = (C1/2 ln|cos(2z)| + C2) cos(2z) + (C3/2 ln|cos(2z)| + C4) sin(2z)

c. The most general solution to the original nonhomogeneous differential equation is the sum of the general solution to the associated homogeneous equation

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During the Persian Wars, the Greek army was weakened and then defeated by the Persians. This led to a decrease in the influence of Greece in Asia Minor.

During this time, Macedonia was one of the strongest states in Greece, and it had control over most of mainland Greece. The empire that emerged from this period is called Macedonian Empire. This empire lasted for another 300 years until its conquest by Rome around 148 BC.

The rise of Macedonia as a major power during this period also gave way to many internal conflicts between different tribes within the kingdom which led to increased military spending on them (cavalry). However, when Roman legions were sent into Asia Minor they easily crushed these armies and destroyed much of their infrastructure including fortifications and roads (roads were built under Alexander's reign but they fell apart quickly). This made it very difficult for any future armies or empires to hold onto territory once conquered.

So I think your question has been answered! Thanks!

Answer: The answer is B:The Greek army defeated the Persians.

Step-by-step explanation: I have my ways ;>

Answer:

C

Step-by-step explanation:

is not a polynomial because it has a negative exponent.

The binomial factors of x³- 4x²+x+6​ are (x+2), (x+3), and (x-1).

Using the splitting and grouping the terms:

x³ + 4x² + x - 6

= x³ + 2x² + 2x² + x - 6  [Splitting 4x² = 2x² + 2x²]

= (x³ + 2x²) + (2x² + x - 6)

= x² (x + 2) + (2x² + 4x - 3x - 6)

= x² (x + 2) + [ 2x (x + 2) - 3 (x + 2)]

= x² (x + 2) + (x + 2) (2x - 3)

= (x + 2) ( x² + 2x - 3)

= (x + 2) ( x² + 3x - x - 3)

= (x + 2) [x (x + 3) - 1 (x + 3)]

= (x + 2) (x + 3) (x - 1)

Hence, the binomial factors are (x + 2), (x + 3) and (x - 1)

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the variance will be 0.6217.

What is frequency distribution?

The gathered data is arranged in tables based on frequency distribution. The information could consist of test results, local weather information, volleyball match results, student grades, etc. Data must be presented meaningfully for understanding after data gathering. A frequency distribution graph is a different approach to displaying data that has been represented graphically.

A small data analysis class has six computer science majors among the fourteen total students.

Three people are chosen at random to form a group.

here this is hypergeometric distribution with parameter n=sample size =3 ; N =population size =14

and k=computer sience major =6

a) E(X) =nk/N =3*6/14 =18/14 =9/7 =1.2857

b)|varaince =σ²=(nk/N)*(1-k/N)*(N-n)/(N-1)) =(3*6/14)(1-6/14)*(14-3)/(14-1)= 0.6217

Hence, the variance will be 0.6217.

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Answer:

Ok, this is complicated. First you multiply 35 by .30. This gets you $10.50 OFF of the original price. Ok? So then you add the 2 dollar coupon. This gets you $12.50 OFF. So she would save $12.50.

YOUR ANSWER IS $12.50! Hope this helps! Please mark me brainliest!

Answer: f

Step-by-step explanation:

The domain of a composite function f(g(x)) is the set of those inputs x in the domain of g for which g(x) is in the domain of .

Answer:

the maximal height is 14.75 units of distance.

Step-by-step explanation:

We want to find the maximum height of the function

h(t) = -16*t^2 + 24*t + 5

In order to find the maximum, we need to find the value of t where the derivate of h(t) is equal to zero, then we evaluate our original function in that time.

The derivate of h(t) (or the vertical velocity) is:

h'(t) = 2*(-16)*t + 24 = -32*t + 24

we want to find the value of such:

0 = -32*t +24

32*t = 24

t = 24/32 = 0.75

Now we evaluate our height function in that value.

h(0.75) = -16*0.75^2 + 25*0.75 + 5 = 14.75 units

Answer:

1760

Step-by-step explanation:

12 inches in a foot so 5280x12 is how much inches in a mile

63360 inches in a mile

63360 divided by 36 inches

1760

Answer:

The following below are those that shows the correct values for then median-fit method of the restaurant relationship between the number of tables seated (x) and the total number of cups of complementary salsa served (y):

O.  The middle summary point is (52, 103.75).

O.  The right summary point is (63, 160).

O.  The middle summary point is (52, 103.75).

Step-by-step explanation:

Answer:

B.) The middle summary point is (52, 110.5).

D.) The slope of the line of best fit is 2.14.

Step-by-step explanation:

Just did the assignment on Edg 2022 (Linear Regression Methods)

The number of fish in the bucket before Jasper feeds the dolphins was 12.

Since Jasper won the raffle at the zoo and gets to feed the dolphins, and the dolphin trainer gives Jasper a bucket of fish to divide evenly among 4 dolphins, and each dolphin gets 3 fish, to find the number of fish F in the bucket Before Jasper feeds the dolphins, the following equation must be performed:

Therefore, the number of fish in the bucket before Jasper feeds the dolphins was 12.

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Answer:

a. The Curse of Dimensionality

Step-by-step explanation:

The phenomenon that refers to this is known as the Curse of Dimensionality. This phenomenon is basically the specific complications that only occur when dealing with far larger data sets that contain various dimensions, while these complications do not exist in smaller and less complex data sets. The larger the data set tends to get, the more complications arise. This is usually solved with Dimensionality reduction which shrinks the data sets by targeting specifics of the data and separating it.

Answer:

19 683

Step-by-step explanation:

To be able to do this, just remember that for example 3 square which is the number "3^" is 3 x 3 and it is the same for others, like 3^^ is 3 x 3 x 3 x 3.

A calculator is helpful for this question, but still doable without calculator.

Answer:6 1296720 1.29672 × 106

5 1296700 1.2967 × 106

4 1297000 1.297 × 106

3 1300000 1.30 × 106

2 1300000 1.3 × 106

1 1000000 1 × 106

Step-by-step explanation:

Answer:

(B) Centers: The crocodiles have a greater median length than the alligators

(C) Spreads: The lengths of the alligators are more spread out

Step-by-step explanation:

The question is incomplete without the diagram. Find attached the diagram used in solving the question

Centers: this is the median of the distribution

Spread: this is the variation of the data distribution. The range can be used to find the spread. If the range is large, the spread is larger and If the range is small, the spread is smaller.

Range = highest value - lowest value

From the diagram:

Median of crocodile = 17

Median of the alligator = 9

Therefore, for Centers: The crocodiles have a greater median length than the alligators (option B)

Spread for crocodile data = from 15 to 19

Range = 19-15 = 4

Spread for alligator data = from 7 to 15

Range = 15-7 = 8

For Spreads: The lengths of the alligators are more spread out.

Answer: b and c

Step-by-step explanation:

Answer:

\(SOLUTION:-\)

\( \rm{passed \: percent = { \displaystyle{33 \frac{1}{3} \%} = \frac{100}{3}\% }}\)

\({ \displaystyle{ \rm{failed \: percent = \left( 100 - \frac{100}{3} \right)}\%}}\)

\(\displaystyle{ \frac{3 \times 100 - 100}{3}\% }\)

\(\displaystyle{ \frac{200}{3}\% }\)

Let,x be the total number of examinees:-

We have,

\(\displaystyle{ \frac{200}{3}\% \: \rm{of \: x = 240} }\)

\(\displaystyle{ \frac{200}{3} \times \frac{1}{100} \rm \: x = 240}\)

\(\displaystyle{ \rm{x = \frac{240 \times 3 \times 100}{200} }}\)

\(\displaystyle{ \rm{x = 360}}\)

Hence,required number of examinees = 360 .

The lengths of the other two sides of the right triangle are 24m and 25m, respectively.

Let's assume the consecutive integers representing the lengths of the other two sides of the right triangle are x and x + 1, where x is the smaller integer. We are given that the shortest side measures 7m. Now, we can use the Pythagorean theorem to solve for the lengths of the other two sides.

According to the Pythagorean theorem, in a right triangle, the square of the length of the hypotenuse (the longest side) is equal to the sum of the squares of the lengths of the other two sides.

Using this theorem, we have the equation:

\(7^2 + x^2 = (x + 1)^2\)

Expanding and simplifying this equation, we get:

\(49 + x^2 = x^2 + 2x + 1\)

Now, we can cancel out \(x^2\) from both sides of the equation:

49 = 2x + 1

Next, we can isolate 2x:

2x = 49 - 1

2x = 48

Dividing both sides by 2, we find:

x = 24

Therefore, the smaller integer representing the length of one side is 24, and the consecutive integer representing the length of the other side is 24 + 1 = 25.

Hence, the lengths of the other two sides of the right triangle are 24m and 25m, respectively.

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Answer:

30,290,000 people

Step-by-step explanation:

The question is asking if the trend continues from the PREVIOUS year, so we would find the 30% of 23,300,000

23,300,000/100 = 233,000 = 1%

233,000 x 30 = 6,990,000

23,300,000 = 6,990,000 = 30,290,000

Answer:

\(x \leq -4\)

There will be a filled-in hole at -4.

Step-by-step explanation:

We can solve an inequality the same way we do for equations. The only thing to keep in mind, is that multiplying by a negative number will result in flipping the inequality sign (< to > and vice versa)

\(-7x + 13 \geq 41 \text{ //}-13\\-7x \geq 28 \text{ //}:-7 \text{ (Notice we multiply by a negative number.)}\\x \leq -4\)

The difference between a filled-in and an empty hole in terms of inequality graphs, is whether or not the number limiting the inequality is included in it.

For example, in x > 3, 3 is limiting the inequality, however, it is not included in it, therefore, x would always be greater than 3.

In another example, \(x \leq -4\), -4 is limiting inequality and is included in it. Therefore, x would always be less than or equal to -4.

A filled-in hole means the number is included in the inequality, while an empty one means it isn't.

In our cases, -4 is included in the inequality (notice the line under the inequality sign that resembles "less than or equal to"), therefore there will be a filled-in hole at -4.

Answer:

Is 03.841

Step-by-step explanation:

To find the critical value needed to test the claim that the sentence is independent of the plea, we need to perform a chi-square test of independence. The critical value is based on the significance level (α) and the degrees of freedom.

In this case, the given significance level is 0.05. Since the table represents a 2x2 contingency table (two categories for plea and two categories for sentence), the degrees of freedom (df) can be calculated as (number of rows - 1) * (number of columns - 1) = (2 - 1) * (2 - 1) = 1.

To find the critical value at a significance level of 0.05 with 1 degree of freedom, we consult a chi-square distribution table or use statistical software.

The critical value for a chi-square test with 1 degree of freedom and a significance level of 0.05 is approximately 3.841.

Therefore, the correct answer is 03.841.

Answer:

290 dollars

Step-by-step explanation:

$44(to rent the car) x 5 = $220

$7( for insurance) x 5 = $35

35$ for gas

Add all those prices up:

220 + 35 + 35= 290

I hope this helps...