Adam traveled out of town for a regional basketball tournament. He drove at a steady speed of
.4 miles
for 4.62 hours.
The exact distance Adam traveled was
v miles.
Rounding decimals to the nearest whole number, Adam traveled a distance of about
miles.

Answer:

y=-5/11x+3/11 (B)

Step-by-step explanation:

m= -5/11

b=3/11

substitute: y=-5/11x+3/11

Answer:

The slope of the pile of sand is 0.5

Step-by-step explanation:

Since slope = vertical distance/horizontal distance.

Here, the vertical distance from the pile's peak to its base is 2.5 meters and the horizontal distance from its peak to its edge  is 5 meters.

So, we calculate the slope as

slope = vertical distance/horizontal distance where vertical distance = vertical distance from the pile's peak to its base = 2.5 meters and horizontal distance = horizontal distance from its peak to its edge  = 5 meters.

slope = vertical distance/horizontal

slope = 2.5 meters/5 meters

slope = 0.5

So, the slope of the pile of sand is 0.5

The number of combinations of 6 boys and 20 girls that can exist among 26 children born in a hospital on a given day is 230,230.

]To calculate the number of combinations, we can use the concept of binomial coefficients. The formula for calculating the number of combinations is C(n, k) = n! / (k!(n-k)!), where n is the total number of objects and k is the number of objects we want to select.

In this case, we have 26 children in total, and we want to select 6 boys and 20 girls. Plugging these values into the formula, we get C(26, 6) = 26! / (6!(26-6)!) = 230,230. Therefore, there are 230,230 different combinations of 6 boys and 20 girls that can exist among the 26 children born in the hospital on that given day.

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To obtain a smaller margin of error, choose a smaller confidence level.

Margin of error is defined as the degree of the sampling errors in statistics. It can be calculated using the formula below.

MOE = z x (SD / √n)

where MOE = margin of error

z = found by using a z-score table

SD = sample standard deviation

n = sample size

Based on the formula, to reduce the margin of error, the z-score, z, must be small. In order to have a smaller value of z, the probability, p, should also be small. And to obtain a small probability, choose a smaller confidence level.

Hence, to reduce the margin of error, use a lower confidence level.

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ANSWER

A 153/225 = 17/25 =0.68=68%

B 225/153 = 25/17 =1.47=147%

C 153/225 = 51/75 =0.51=51%

D 225/153 = 75/51 =0.75=75%

Answer:

6 games and 2 rides

Step-by-step explanation:

Start with the equation 3*1.50x+3y=15

Then plug that equation into desmos graphing calculator

Then round up

This will tell you the number of games, and rides Adam went on

Answer: z = 10

Step-by-step explanation:   7-2=5 15-5=10

Answer:   7z+17

Step-by-step explanation:

Answer:

£1.22

Step-by-step explanation:

Total cost: 5.95+1.62+0.25+2(0.48)=8.78

Change: 10-8.78=1.22

Answer:

250,000,000 or 250000000

...........................

Answer: ∠A=144°

Step-by-step explanation:

∠A and ∠B are alternate exterior angles. Alternate exterior angles are congruent to each other. That means ∠A=∠B. Since we are given the measures of ∠A and ∠B, all we have to do is set them equal to each other.

10x+24=6x+72          [subtract both sides by 6x]

4x+24=72                  [subtract both sides by 24]

4x=48                         [divide both sides by 4]

x=12

Now that we found x, we need to plug it into ∠A.

10(12)+24=120+24=144

We know that ∠A=144°.

Answer:

17/70 (\(\frac{17}{70}\))

The answer is f(10) = (10, 45).

The function f: Z → Z is defined as f = {(x, 4x+5) : x ∈ Z}, where Z is the set of integers. The domain of f is Z, which is the set of all integers. The codomain of f is also Z, which means that the function maps integers to integers.

The range of f is the set of all possible values that f can take. To find the range of f, we can plug in a few values of x and see what values of f we get. For example, when x=0, f(0) = (0,5), when x=1, f(1) = (1,9), when x=-1, f(-1) = (-1,1), and so on. It appears that the range of f is the set of all ordered pairs of the form (x, y) where y is an odd integer. Thus, the range of f is {(x,y) : x ∈ Z, y ∈ 2Z+1}.

To find f(10), we plug in x=10 into the definition of f: f(10) = (10, 4(10)+5) = (10, 45). Therefore, f(10) = (10, 45).

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When coding a SELECT statement in SQL, it is crucial to follow a specific order for the four main clauses to ensure accurate and efficient retrieval of data. The correct order to code the clauses is c. SELECT, FROM, WHERE, ORDER BY.

Firstly, the SELECT clause specifies the columns that you want to retrieve data from. This clause is always coded at the beginning of the statement. Next, the FROM clause identifies the table or tables from which you want to retrieve data. It is important to note that the tables in the FROM clause must be listed before the WHERE clause.
The WHERE clause is used to filter the data based on certain criteria or conditions. This clause is typically coded after the FROM clause. Lastly, the ORDER BY clause sorts the retrieved data in ascending or descending order based on a specified column. This clause is always coded at the end of the statement.
Therefore, the correct order for coding the four main clauses in a SELECT statement is SELECT, FROM, WHERE, and ORDER BY. By following this order, you can ensure that your query runs smoothly and returns the correct results.

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Approximately 18.1 grams of ice were added to the water to achieve a final temperature of 0.0°C.

To determine the amount of ice added, we can use the equation for heat transfer:

qice + qwater = 0

The heat gained by the ice (qice) can be calculated using the equation:

qice = mice * ΔHf

where mice is the mass of ice and ΔHf is the heat of fusion of water. The heat lost by the water (qwater) can be calculated using the equation:

qwater = mwater * cwater * ΔT

where mwater is the mass of water, cwater is the specific heat of water, and ΔT is the change in temperature.

Since the final temperature is 0.0∘C, ΔT = 0.0 - 21.0 = -21.0∘C.

Substituting the given values into the equations, we have:

mice * ΔHf + 33.6 g * 4.18 J/(g⋅∘C) * -21.0∘C = 0

Simplifying the equation:

mice * ΔHf = -33.6 g * 4.18 J/(g⋅∘C) * -21.0∘C

mice = (-33.6 g * 4.18 J/(g⋅∘C) * -21.0∘C) / ΔHf

Using the given value for ΔHf of water (6.01 kJ/mol) and the molar mass of water (18.015 g/mol), we can convert ΔHf to J/g:

ΔHf = 6.01 kJ/mol * 1000 J/kJ / 18.015 g/mol = 333.28 J/g

Substituting the values into the equation:

mice = (-33.6 g * 4.18 J/(g⋅∘C) * -21.0∘C) / 333.28 J/g

mice ≈ 18.1 g

Therefore, approximately 18.1 grams of ice were added.

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Answer:

$58.50

Step-by-step explanation:

30% of 45 is 13.50 and 13.50 plus 45 is 58.50

Answer:

The answer is a "Weather occurs because the climate is costantly changing"

Answer:

A (climate is the trend in weather over a long period of time)

Step-by-step explanation:

Answer:

Does the answer help you?

Answer:

\(\textbf{No, the answer is not correct }\).

Step-by-step explanation:

The student didn't use the quotient of powers property correctly. Instead of subtracting, the student divided the exponents within the parenthesis. So, x to the two-fifths power is the correct simplified form.

\((\frac{x^{2/5}\times x^{4/5} }{x^{2/5} } )\)

\(=(\frac{x^{6/5} }{x^{2/5} } )^{1/2}\)

\(=x^{6/5-2/5} )^{1/2}\)

\(=(x^{4/5} )^{1/2} =x^{2/5}\)

OAmalOHopeO

The height of the flagpole is 12.9 feet to the nearest tenth.

The ratio is a numerical relationship between two values that demonstrates how frequently one value contains or is contained within another.

Given:

The boy is 5' 3" tall and his shadow is 4 feet.

The shadow of the flagpole is 17 feet.

The boy is 5.25 feet tall.

Let the height of the flagpole is h feet.

So,

17/h = 5.25/4

h = 68/5.25

h = 12.95

h = 12.9 to one decimal place.

Therefore, h = 12.9 to one decimal place.

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Option A= 36 + 27 pi is the correct answer

Area of square= 6*6 = 36

Area of the remaining circle = 3/4*pi*r^2

= 3/4*pi*6^2= 27*pi

Thus, total area = area of square+ area of circle

36 + 27pi

Answer:

B and C

Step-by-step explanation:

(15)

The opposite sides of a parallelogram are equal , so

CD = AB , that is

7x - 54 = 5x - 2 ( subtract 5x from both sides )

2x - 54 = - 2 ( add 54 to both sides )

2x = 52 ( divide both sides by 2 )

x = 26

Then

CD = 7x - 54 = 7(26) - 54 = 182 - 54 = 128 → B

(16)

Consecutive angles are supplementary, sum to 180° , then

6y + 19 + 2y + 9 = 180

8y + 28 = 180 ( subtract 28 from both sides )

8y = 152 ( divide both sides by 8 )

y = 19

Then

∠ B = 6y + 19 = 6(19) + 19 = 114 + 19 = 133°

Opposite angles are congruent , so

∠ D = ∠ B = 133° → C

Answer:

They are in order

Miami gets 6.12 more inches of rain.

The process of combining two or more numbers is called the Addition. The 4 main properties of addition are commutative, associative, distributive, and additive identity.

We have to given that;

The average rainfall in inches in Miami from January to May is 1.61, 2.24, 2.99, 3.15, 5.35, and 9.68

While it is 2.24, 2.8, 3.03, 2.05, 2.09, and 6.69 during the same period in Tampa.

Hence, For Miami;

= 1.61 + 2.24 + 2.99 + 3.15 + 5.35 +9.68

= 25.02

For Tampa;

= 2.24 + 2.8 + 3.03 + 2.05 + 2.09 + 6.69

= 18.90

Thus, Find difference as;

= 25.02 - 18.90

= 6.12

Therefore, Miami gets 6.12 more inches of rain.

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Use the property of determinant det(AB) = det(A)det(B) and the fact that A and A' have the same transpose to show that det(AAT) = (det(A))^2, and then use the fact that AAT is similar to A'A to conclude that they have the same characteristic polynomial. Option C is the correct answer.

Start with det(AAT). Use the formula det(AB) = (det A)(det B) to write det(AAT) = (det A)(det A). Then use the formula AAT = EI.

We can show that A and A' have the same characteristic polynomial by showing that they have the same eigenvalues.

Let λ be an eigenvalue of A with corresponding eigenvector x. Then we have:

Ax = λx

Multiplying both sides by A' on the left, we get:

A'Ax = A'λx

Using the fact that A'A = AA' = I, we can simplify this expression to:

x = λA'x

This shows that λ is also an eigenvalue of A' with corresponding eigenvector A'x. Therefore, A and A' have the same set of eigenvalues, which means that they have the same characteristic polynomial.

To prove this using determinants, we start with det(AAT). Using the property det(AB) = (det A)(det B), we can write:

det(AAT) = det(A)det(AT)

Since det(AT) = det(A) (which can be shown using the fact that det(AT) = det(A) and the property det(AB) = det(A)det(B)), we can simplify this expression to:

det(AAT) = (det A)^2

Using the fact that AAT = EI, we can write:

det(AAT) = det(EI)

Since det(EI) = 1, we have:

(det A)^2 = 1

Taking the square root of both sides, we get:

det A = ±1

This means that A and A' have the same set of eigenvalues, which implies that they have the same characteristic polynomial.

So, the correct option is C.

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Answer:

$9

Step-by-step explanation:

(2 movies returned late)

3 days late

$1.50 per day late fee

equaling $4.50 per movie

TOTALING $9

TOTALING $9.00

Answer:

Step-by-step explanation:

Since its less than 5 days, Susan will have to pay only late charge fee for two movies for 3 days.

The amount to be paid:

Correct choice is B

The detail from “The Gold Coin” that best supports the inference that Juan is beginning to enjoy reconnecting with people is when he helps the old woman carry her basket of fruit.

Juan is a thief, and he has been for many years. He has no friends, and he doesn't care about anyone but himself. But when he sees the old woman struggling with her groceries, he stops and helps her.

This act of kindness shows that Juan is beginning to change. He is starting to care about other people, and he is starting to understand that there is more to life than just stealing. This is a significant development in Juan's character, and it suggests that he is on the road to redemption.

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The value of ㏒₁₀√3 - 1 / 2 ㏒₁₀2 is 1 / 2.㏒₁₀(1.5)

Given: To evaluate ㏒₁₀√3 - 1 / 2 . ㏒₁₀2

What are logarithms?

If a equation is given in the form of aᵇ = c, then ㏒ₐc = b or in a definitive way a logarithm is the power to which a number must be raised in order to get a number. As here 'a' is raised to the power 'b' to given a number c, so the number base 'a' if be raised to some power of 'b' then it will yield a number 'c'.

For example, 10² = 100 which can be written as ㏒₁₀100 = 2 by the following property of logarithm that is ㏒ₐ(bⁿ) = n.㏒ₐb.

So,  ㏒₁₀100 = ㏒₁₀10² = 2.㏒₁₀10 = 2 [ Another property ㏒ₐa = 1]

Some basic properties on logarithm operations are

1) ㏒ₙa + ㏒ₙb = ㏒ₙ(ab)

2) ㏒ₙa - ㏒ₙb = ㏒ₙ(a / b) [NOTE: ㏒ₙa - ㏒ₙb is not commutative]

3) ㏒ₐ(bⁿ) = n.㏒ₐb

4) ㏒ₐa = 1

Now let's solve the sum: ㏒₁₀√3 - 1 / 2 ㏒₁₀2

㏒₁₀√3 - 1 / 2 ㏒₁₀2 = ㏒₁₀(3)\(^{\frac{1}{2}}\) - 1 /2 .㏒₁₀2 [ Root means 1 / 2 power]

= 1 / 2.㏒₁₀(3) - 1 / 2.㏒₁₀(2)   [ ㏒ₐ(bⁿ) = n.㏒ₐb ]

= 1 / 2.(㏒₁₀(3) - ㏒₁₀(2))

= 1 / 2.(㏒₁₀(3 / 2)                  [ ㏒ₙa - ㏒ₙb = ㏒ₙ(a / b) ]

= 1 / 2.㏒₁₀(1.5)

Hence value of ㏒₁₀√3 - 1 / 2 ㏒₁₀2 = 1 / 2.㏒₁₀(1.5)

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Answer:

Tony has 31 more toys than Jenna.

Step-by-step explanation:

31 x 2 = 62

62 - 31 = 31

The colorimeter detects the voltage created when sunlight penetrates the specimen, so the voltage created is exactly proportional to the absorbance of the sample.

When charged electrons (current) are forced through a conducting loop by the weight of an electrical raceway power source, they can perform tasks like lighting a lamp. In a nutshell, voltage equals pressure and is expressed in volts (V).

Here,

The voltage generated by the uv spectrophotometer is inversely proportionate to the amount of light present and linearly proportional to the sample's absorbance.

This indicates that as the sample's absorbance rises, so does the energy the colorimeter generates.

Similar to this, the voltage generated by the colorimeter rises as light strength falls.

The Beer-Lambert Law, which says that a sample's absorbance is directly proportional to its concentration of the absorbing substance and its path length and inversely proportional to incident light intensity, describes this connection.

The colorimeter detects the voltage created when sunlight penetrates the specimen, so the voltage created is exactly proportional to the absorbance of the sample.

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Answer:

maybe 11? because it says to Subtract the sum of the two angles from 180 degrees. The sum of all the angles of a triangle always equals 180 degrees. Write down the difference you found when subtracting the sum of the two angles from 180 degrees. This is the value of X.

Step-by-step explanation: