Andy played with Buzz 65% of the time. How many times did andy play with Buzz if her played with his toys 20 times?

The statement "Gasoline is an ideal fuel for transportation because it has a high energy density and is highly portable" is completed correctly by the information in option (a): "high; flammable."

Gasoline is known for its high energy density, meaning it contains a significant amount of energy per unit volume. This characteristic allows vehicles to carry a sufficient amount of fuel for long-distance travel without requiring excessive storage space. Additionally, gasoline is highly portable due to its liquid form, which makes it easy to transport and dispense into vehicles.

Regarding the biggest concern associated with the use of petroleum, the correct option is (c): "carbon dioxide emissions." When petroleum products like gasoline are burned, they release carbon dioxide (CO2) into the atmosphere. CO2 is a greenhouse gas that contributes to global warming and climate change. The combustion of petroleum fuels, especially in the transportation sector, is a major source of CO2 emissions.

While other concerns such as air pollutants (particulates in the air) and environmental impacts (ground level emissions, oil spills) are also associated with petroleum use, the significant contribution of CO2 emissions to climate change makes it the most pressing concern. Addressing carbon dioxide emissions from the burning of petroleum fuels is essential to mitigate the impact of transportation on climate change and promote the use of more sustainable and cleaner energy sources.

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Answer:

When y = 20 ,x is −5

Step-by-step explanation:

The evaluation of the rational algebraic expression  are presented as follows;

1.  \(\dfrac{1}{3} +\dfrac{2}{5} = \dfrac{11}{15}\)

2. \(\dfrac{x + y}{x} + \dfrac{x + y}{y} = \dfrac{x^2 + 2\cdot x \cdot y + y^2}{x \cdot y}\)

3. \(\dfrac{3 \cdot x + 1}{x^2+2\cdot x +1} +\dfrac{5}{2\cdot x + 8} =\dfrac{11\cdot x^2 +36\cdot x +13}{2\cdot x^3 + 12\cdot x^2 + 18\cdot x+ 8}\)

A rational algebraic expression is an algebraic expression that consists of a quotient and divisor that consists of variables and numbers.

1. \(\dfrac{1}{3} + \dfrac{2}{5}\)

\(\dfrac{1}{3} + \dfrac{2}{5} = \dfrac{5\times 1 + 2 \times 3}{3\times 5} =\dfrac{5 + 6}{15}\)

\(\dfrac{5 + 6}{15} = \dfrac{11}{15}\)

Therefore, we get;

\(\dfrac{1}{3} +\dfrac{2}{5} = \dfrac{11}{15}\)

2. \(\dfrac{x + y}{x} + \dfrac{x + y}{y}\)

\(\dfrac{x + y}{x} + \dfrac{x + y}{y} = \dfrac{y\times (x + y) + x\times (x+ y)}{x\cdot y}\)

\(\dfrac{y\times (x + y) + x\times (x+ y)}{x\cdot y}= \dfrac{x^2+ 2\cdot y \cdot x +y^2 }{x \cdot y}\)

Therefore;

\(\dfrac{x + y}{x} + \dfrac{x + y}{y} = \dfrac{x^2+ 2\cdot y \cdot x +y^2 }{x \cdot y}\)

3. \(\dfrac{3 \cdot x + 1}{x^2 + 2\cdot x + 1} + \dfrac{5}{2 \cdot x + 8}\)

\(\dfrac{3 \cdot x + 1}{x^2 + 2\cdot x + 1} + \dfrac{5}{2 \cdot x + 8} = \dfrac{(3 \cdot x + 1) \times (2\cdot x + 8) + 5 \times (x^2 + 2\cdot x + 1) }{(x^2 + 2\cdot x + 1) \times (2\cdot x + 8)}\)

\(\dfrac{(3 \cdot x + 1) \times (2\cdot x + 8) + 5 \times (x^2 + 2\cdot x + 1) }{(x^2 + 2\cdot x + 1) \times (2\cdot x + 8)} = \dfrac{11\cdot x^2+ 36\cdot x+ 13}{2\cdot x^3 + 12\cdot x^2+18\cdot x+ 8}\)

\(\dfrac{3 \cdot x + 1}{x^2 + 2\cdot x + 1} + \dfrac{5}{2 \cdot x + 8}=\dfrac{11\cdot x^2+ 36\cdot x+ 13}{2\cdot x^3 + 12\cdot x^2+18\cdot x+ 8}\)

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For the given matrix A, the minors M13, M23, M33 are 8, -4, and 10 respectively. The cofactors C13, C23, C33 are 8, 4, and 10 respectively. The determinant det(A) is 68.

To find the minors of a matrix, we need to find the determinants of the submatrices obtained by removing the row and column corresponding to the element of interest. In this case, the minors M13, M23, and M33 correspond to the determinants of the 2x2 submatrices obtained by removing the first row and the third column, second row and third column, and third row and third column, respectively.

To find the cofactors, we multiply each minor by a positive or negative sign based on its position in the matrix. The signs alternate starting with a positive sign for the top left element. In this case, the cofactors C13, C23, and C33 correspond to the minors M13, M23, and M33 respectively.

Finally, the determinant of a 3x3 matrix can be found by using the formula det(A) = a11C11 + a12C12 + a13C13, where a11, a12, and a13 are the elements of the first row of the matrix and C11, C12, and C13 are their corresponding cofactors. In this case, the determinant det(A) is 68.

Therefore, the minors M13, M23, M33 are 8, -4, and 10 respectively. The cofactors C13, C23, C33 are 8, 4, and 10 respectively. And the determinant det(A) is 68.

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Answer: x= 4/k

Step-by-step explanation:

Answer:

B.) \(\frac{4}{k}\)

Step-by-step explanation:

\(3kx+24=9kx\\3(kx+8)=9kx\\\frac{3(kx+8)}{3}=\frac{9kx}{3}\\kx+8=3kx\\(kx+8)-kx=(3kx)-kx\\8=2kx\\\frac{8}{2k}=\frac{2kx}{2k}\\\frac{4}{k}=x\)

Answer:

Six rotations around the unit circle correspond to 2160 °.

Step-by-step explanation:
We know that One rotation around a circle is equal to 360 degrees :

i.e.          1 rotation     =     360 ° ........(i)
Hence,   6 rotations  =    ( 6 × 360 ° )

So for 6 rotations, we have 2160 °.

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The expression that correctly calculates the perimeter of the shape is given as follows:

P = 2(6s + πr).

In which:

The perimeter of a square of side length s is given as follows:

P = 4s.

Hence, for three squares, the perimeter is given as follows:

P = 3 x 4s

P = 12s.

The perimeter, which is the circumference of a semicircle of radius r, is given by the equation presented as follows:

C = πr.

Hence the perimeter of two semicircles is given as follows:

C = 2πr.

The perimeter of the entire shape is given by the sum of the perimeter of each shape, hence:

P = 12s + 2πr.

P = 2(6s + πr).

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Therefore, the standard deviation for the given probability distribution is approximately 0.80.Answer: The standard deviation for the given probability distribution is approximately 0.80.

Standard deviation of a discrete probability distribution . The standard deviation is a measure of the amount of variation or dispersion in a set of data. For a discrete probability distribution, the formula for standard deviation is given by: \sigma =\sqrt{\sum_{i=1}^{n}(x_i - \mu)^2P(x_i)}

The given probability distribution table is:\begin{array}{|c|c|}\hline \textbf{Girls} & \textbf{Probability} \\ \hline 0 & 0.20 \\ \ hline 1 & 0.45 \\ \ hline 2 & 0.30 \\ \hline 3 & 0.05 \\ \hline \end{array}

Expected value or the mean of the probability distribution is:$\mu=\sum_{i=1}^{n}(x_i \cdot P(x_i))$$$\mu=0(0.20)+1(0.45)+2(0.30)+3(0.05)=0.90$$ .

Therefore, the mean of the probability distribution is 0.90.To find the standard deviation.

Now we can substitute these values into the formula to calculate the standard deviation:$\sigma =\sqrt{\sum_{i=1}^{n}(x_i - \mu)^2P(x_i)}$\sigma =\sqrt{0.162+0.02025+0.396+0.0675}$$$\sigma =\sqrt{0.64575}\sigma \approx 0.80 .

Therefore, the standard deviation for the given probability distribution is approximately 0.80.Answer: The standard deviation for the given probability distribution is approximately 0.80.

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The options are analyzed as follows:

1: The overline 0.729 means:

This is a non- terminating recurring decimal hence it is rational.

2: The nuumber 0.0195347... is a non terminating and non recurring decimal hence it is irrational.

3. The number -12 is rational since it is an integer.

4.The number 4.565656... is a non terminating recurring decimal hence it is rational.

5. The number given by:

Since square root of 2 is irrational and 3 is rational the product is irrational.

Also the decimal is non terminating non recurring hence it is irratonal.

So the options 2 and 5 are irrational.

Answer:

SA = 94 ft²

Step-by-step explanation:

To find the surface area of a rectangular prism, you can use the equation:

SA = 2 ( wl + hl + hw )

SA = surface area of rectangular prism

l = length

w = width

h = height

In the image, we are given the following information:

l = 4

w = 5

h = 3

Now, let's plug in the information given to us to solve for surface area:

SA = 2 ( wl + hl + hw)

SA = 2 ( 5(4) + 3(4) + 3(5) )

SA = 2 ( 20 + 12 + 15 )

SA = 2 ( 47 )

SA = 94 ft²

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The required equation of line AC is y = (7/4) x + 6.

The equation of line DB is given as (1/2)x + 2y = 12.

The slope of line DB can be found by rearranging the equation in slope-intercept form:

2y = -(1/2)x + 12

y = -(1/4)x + 6

The slope of line DB is -1/4.

Since lines DB and AC are perpendicular, the slope of line AC is the negative reciprocal of the slope of line DB.

Therefore, the slope of line AC is 4.

To find the coordinates of point A, we need to solve the system of equations:

y = -(1/4)x + 6 (equation of line DB)

y = 4x + b (equation of line AC)

Substituting the second equation into the first equation, we get:

4x + b = -(1/4)x + 6

17/4 x + b = 6

b = 6 - 17/4 x

Therefore, the equation of line AC is:

y = 4x + (6 - 17/4 x)

y = 4x - (17/4) x + 24/4

y = (7/4) x + 6

Therefore, the equation of line AC is y = (7/4) x + 6.

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Answer:

x = 6

Step-by-step explanation:

Based on the two secants intersecting theorem, thus:

(x + 4)*4 = (3 + 5)*5

x*4 + 4*4 = (8)*5

4x + 16 = 40

4x + 16 - 16 = 40 - 16 (subtraction property of equality)

4x = 24

4x/4 = 24/4 (Division property of equality)

x = 6

Sarah needs 7 and three-fourths of pounds of clay to make 31 small vases. By using the proportion of pounds of clay to the number of small vases, the required value is calculated.

Proportions are equations in which two ratios are made equal to each other. By using these we can relate a part to a whole. The formula for the proportions is written as

a : b = c : d or a/b = c/d or ad = bc

Here the variables a and d are said to be the extreme terms and the variables b and c are the mean terms.

Mostly used proportions are inverse proportion, direct proportion, compound proportion, etc.

Given that,

Sarah uses 3 and 1/2 pounds of clay to make 14 small vases.

And x pounds of clay to make 31 small vases.

So, applying the proportions formula for finding the x value as

\(3\frac{1}{2}:x=14:31\)

Then, we can write them as

bc = ad ⇒ 14x = 7/2 × 31

⇒ 14x = 217/2

⇒ x = 217/28

⇒ x = 7.75 = \(7\frac{3}{4}\)

Therefore, Sarah needs 7 and three-fourths pounds of clay to make 31 small vases. So, option C is correct.

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Answer:

24623.5 cubic cm

Step-by-step explanation:

A prism with an volume of 148 cubic cm is dilated by a factor of 5.5.

This is calculated as:

Let the volume of the dilated prism = x

Hence:

x/148 = (5.5)³

Cross Multiply

x = 148 cm³ × 5.5³

x = 24623.5 cm³

The volume of the dilated prism is 24623.5 cubic cm.

Answer:22.1%

Step-by-step explanation:

From the given data provided, there are 48 markers along the 8-mile trail, each spaced 1/6 mile apart.

In the unitary method, we use the concept of a "unit" or "one" to compare different quantities and find their values in relation to each other.

To find the number of markers along an 8-mile trail, we need to divide the length of the trail by the distance between each marker:

Number of markers = Length of trail / Distance between markers

The distance between each marker is 1/6 mile, so:

Number of markers = 8 / (1/6)

To divide by a fraction, we can multiply by its reciprocal:

Number of markers = 8 × 6

Number of markers = 48

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Answer:

Step-by-step explanation:

A rectangular pyramid has five sides. It consists of a rectangular base and four triangular faces that meet at a common vertex or apex.

≧◉◡◉≦

Answer: k=m-7/4

Step-by-step explanation:

m-7=4k

m-7/4=k

k=m-7/4

The actual area of the apartment's living room is 10 \(m^{2}\)

Given

Room is in the shape of a rectangle

Length of the room  (L)= 10 cm

Width of the room    (W) = 4 cm

Also the scale of floor plan is 2 cm for every 1 meter

Initially the are of the living room = area of rectangle

Area of the rectangle = length × width

                                   = 10 × 40

                                   = 40  \(cm^{2}\)

To find actual floor area we need to scale the dimensions

Since 2cm = 1 m

10cm = 5m and 4 cm = 2m

Now calculating the actual area

Area = length × width

        = 5×2

        =10 \(m^{2}\)

Hence the actual area of the living room is 10 \(m^{2}\)

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Answer:

c

Step-by-step explanation:

The value of the probability P(A and C) is 0.18

The complete question is added as an attachment

From the attached tree diagram, we have:

P(A) = 0.6

P(C) = 0.3

The required probability is then calculated as:

P(A and C) = P(A) * P(C)

This gives

P(A and C) = 0.6 * 0.3

Evaluate

P(A and C) = 0.18

Hence, the value of the probability P(A and C) is 0.18

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Answer in explanation:

although there's an addition sign, you subtract the two because a

(+) + (-) = (-) subtract

[This is a general rule, writing down the "rules" for reference is a good way to help if your having trouble]

subtract to find your answer (you keep the sign of 1.8 because it's the larger number.)

1.3 + (-1.8) =

-0.5

-0.5 is your answer

Hope this is clear!

Meta-analysis is a set of qualitative statistical techniques used to combine the results of multiple, independent research events to arrive at a summary statement about the data.

It is used to identify patterns across studies and to synthesize the results from different studies into a coherent and comprehensive interpretation of the research results. Meta-analysis is commonly used in medical research to identify treatments that are most effective, as well as in social sciences to determine the impact of a policy or program on a population.

Meta-analysis is also used to compare different theories and studies, to evaluate the strength of studies, and to identify any gaps in the existing research. By combining data from multiple studies, meta-analysis can provide a more robust and accurate summary of the effects of a particular intervention or program.

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The probability of landing on an odd number after rolling the cube is 1/2. Therefore, if the cube is rolled 90 times, Matthew Rosie can expect to land on an odd number about 45 times.

We know that the number cube has six faces with numbers 1, 2, 3, 4, 5, and 6 on them. Of these numbers, three are odd (1, 3, and 5) and three are even (2, 4, and 6).Therefore, the probability of landing on an odd number after rolling the cube is 3/6 or 1/2. This means that out of every two rolls, one is expected to land on an odd number. If the cube is rolled 90 times, we can find out how many times to expect to land on an odd number by multiplying 90 by the probability of landing on an odd number in one roll.

This is given by:90 × 1/2 = 45Therefore, Matthew Rosie can expect to land on an odd number about 45 times if he rolls the cube 90 times.

Thus, if Matthew Rosie number cube 90 times then he can expect to land on an odd number about 45 times.

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Answer:

36,579.5180

Step-by-step explanationan:

Xochitl has been with the company for t years, her salary would be $64,000 + ($2000 x t) .

Xochitl's starting salary is $64000. After one year, she will receive a raise of $2000, making her new salary $66000. After two years, she will receive another $2000 raise, making her salary $68000. This pattern will continue for each year she stays with the company.

To find out how much Xochitl will make after 10 years, we can add up the total amount of raises she will receive over those 10 years:

$2000 x 10 = $20,000

Then we add that amount to her starting salary:

$64,000 + $20,000 = $84,000

After 10 years, Xochitl will be making an annual salary of $84,000.

To find out her salary after t years, we can use the formula:

salary = starting salary + (raise amount x number of years)

So if Xochitl has been with the company for t years, her salary would be:

salary = $64,000 + ($2000 x t)

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Answer: They are all symmetry :)

Step-by-step explanation:

Divide all the shapes with a straight line

Answer:

(-1, -3) is in Quarter III on the coordinate grid.

If you want to find the reflection of it from the x-axis, the answer is (-1, 3) in Quarter II. But if you want to find the reflection of it from the y-axis, the answer is (1, -3) in Quarter IV.