When 0.3(4x – 8) – 0.5(–2.4x + 4) is simplified, what is the resulting expression
-4.4
1.2x-2.4+1.2x-2
2.4x-0.4
2.4x-4.4

Answer:

263.76cm

Step-by-step explanation:

r = 14cm

2πr = circumference = distance traveled in 1 hour

3(2πr) = 3x28xπ

π=3.14

= 84x3.14 = 263.76cm

HOPE THIS HELPS!!!

Answer:

2.6 m

Step-by-step explanation:

The minute hand on an oldfashioned (analog) clock will go completely around the clock 3 times in three hours.

The clock is a circle.

The length of the hand is the radius.

The distance around a circle is the circumference (it is perimeter for a circle!)

Circumference

= (pi)•d OR

= 2(pi)r

So the distance all the way around the clockface ONE TIME

is C = (pi)d = 2(pi)r =(3.14)28

= 87.96459 m

But in three hours it goes around three times.

3(87.96459)

= 263.89378

BUT this is cm and they asked for meters. So divide by 100, because there's 100 cm in a meter.

263.89378/100

~= 2.6 meters

The 2972 square feet of surface area that Shane will paint, if he will paint the 4 rectangular sides, 2 triangular pieces and he will not paint the rectangular sections of roof.      

The given is,

Shane wants to paint,

4 rectangular sides

2 triangular sides

From the given diagram,

Total surface area of paint = (4 Rectangular sides surface area ) +(2 triangular sides surface area)....(1)

Surface area of 4 rectangular sides,

For Left side(rectangle) surface area,

A = lb ...........................................................(2)

From the given diagram.

= (45.5 × 20)

= 910 Square feet

Dimensions of left side and right side are equal, so area of right side equal to the left side.

Area of right side = 910 square feet

Area of left and right sides,

= Left side area+ Right side area

= 910 + 910

= 1820 square feet

For front side area,

A= lb ...........................................................(3)

From the given diagram,

= (24 × 20 )

= 480 square feet

Dimensions of front side and back sides are equal, so area of front side equal to the back side.

Area of front side = 480 square feet

Area of front and back sides,

= front side area+ back side area

= 480 + 480

= 960 square feet

Surface area of rectangular sides,

= Area of left and right sides + Area of front and back sides

=  1820 + 960 = 2780 square feet

Surface area of 2 triangular faces,

For area of triangular sides,

\(A= \frac{hb}{2}\) ...............................................(4)

From the given values,

= \(\frac{8 (24)}{2}\)

= \(\frac{192}{2}\)

= 96 square feet

Dimensions of front side triangle and back side triangles are equal, so area of front side triangle equal to the back side triangle.

Area of front side triangle = 96 square meters

Area of front and back side triangles,

= front side triangle area+ back side triangle area

= 96 + 96

= 192 square feet

From the equation (1),

Total surface area of paint = 2780 + 192

Total surface area of paint = 2972 square feet

The 2972 square feet of surface area that Shane will paint, if he will paint the 4 rectangular sides, 2 triangular pieces and he will not paint the rectangular sections of roof.              

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There are 28 ways to choose 6 teams for the playoffs if there are 8 college basketball teams in a certain sub-division.

To determine the number of ways to choose 6 teams for the playoffs out of the 8 college basketball teams in a certain Sub-Division, we can use the combination formula. The formula for combinations is given by

nCr = n! / (r! * (n-r)!),

where n represents the total number of teams and r represents the number of teams to be chosen.

In this case, n = 8 and r = 6.

Plugging in these values, we have

8C6 = 8! / (6! * (8-6)!) = 8! / (6! * 2!) = (8 * 7) / (2 * 1) = 28.

Therefore, there are total 28 ways to choose 6 teams.

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An example where Mookie betts of the boston red sox had the highest batting average in 2018 with probability of average batts is 0.364 for each is a binomial Probability example.

In the statistics, the concept of probability is handy in figuring out the likelihood a particular outcome would occur for an event or decision. On the basis of probability, one can figure out other related probabilities like the probability of not having that particular outcome or the probability of having only that outcome every time. There is Mookie betts of the boston red sox had the highest batting average in league baseball season.

The average probability = 0.364 for each time of bats.

That is Probability of hitting or success, p = 0.364

Number of trials, n = 7

That is Probability distribution is written as \(X \: \tilde \: \: Binom( n,p) \).

After reading all seniror, the probability for seven seven times at bat tonight in the red sox-yankee game is an example of binomial Probability.

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When simplified, the value of the expression \($\sqrt{3} \times 3^{\frac{1}{2}} 12 \div 3 \times 2 - 4^{\frac{3}{2}}$\) is 64.

Given expression is \($\sqrt{3} \times 3^{\frac{1}{2}} 12 \div 3 \times 2 - 4^{\frac{3}{2}}$\)

Simplify the exponents:

\($\sqrt{3} \times \sqrt{3} \times 12 \div 3 \times 2 - (4^{\frac{1}{2}})^3$\)

Simplify the square roots:

\($3 \times 3 \times 12 \div 3 \times 2 - 2^3$\)

Multiply and divide from left to right:

\($9 \times 12 \div 3 \times 2 - 8$\)

Perform multiplication and division:

\($108 \div 3 \times 2 - 8$\)

Evaluate the division:

\($36 \times 2 - 8$\)

72 - 8

64

Therefore, when simplified, the value of the expression is 64.

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Answer:

Step-by-step explanation:

you can complete the square or use a calculator online that does it for you.

the equation is in the for y = a(x-h)^2 + k

it should be y = (x + 3)^2 + 3

Answer:

The correct answer is \(y = - (x - 3)^{2} +21\).

Step-by-step explanation:

To solve this equation (y = \(-x^{2} +6x + 12\)), we want to first complete the square. To do this, we want to add a -9 to the expression in order to achieve \(y = -x^{2} +6x - 9 + 12\).

Then, you want to add the -9 to the other side of the equation to get \(y - 9 = -x^{2} + 6x - 9 + 12\).

Then, we factor out the negative sign from the right side of the equation. This is a negative 1 that can therefore make the polynomial easier to factor. This leaves us with \(y - 9 = -(x^{2} -6x+9) + 12\).

Now, we use an identity in algebra that is difference of two squares identity. This says that \(a^{2} -2ab +b^{2} =(a-b)^{2}\).

So, we will then factor the trinomial -\(x^{2} -6x+9\) to get \(-(x-3)^{2}\). Our new and updated equation is \(y-9 = -(x-3)^{2} +12\).

Now, we move the constant of -9 to the right side of the equation. This just means we are going to add this to 12. This gives us \(y = -(x-3)^{2} +21\).

This is our final equation.

a) the dimension of its column space is also 2. b) the rank of A is 2. c) the nullity of matrix A is 1. d) the dimension of the solution space of the homogeneous system \(A_x = 0\) is also 1.

(a) The dimension of the row space of a matrix is equal to the dimension of its column space. So, if the dimension of the row space of matrix A is 2, then the dimension of its column space is also 2.

(b) The rank of a matrix is defined as the maximum number of linearly independent rows or columns in the matrix. Since the dimension of the row space of matrix A is 2, the rank of A is also 2.

(c) The nullity of a matrix is defined as the dimension of the null space, which is the set of all solutions to the homogeneous equation Ax = 0. In this case, the matrix A is a 3 x 3 matrix, so the nullity can be calculated using the formula:

nullity = number of columns - rank

nullity = 3 - 2 = 1

Therefore, the nullity of matrix A is 1.

(d) The dimension of the solution space of the homogeneous system Ax = 0 is equal to the nullity of the matrix A. In this case, we have already determined that the nullity of matrix A is 1. Therefore, the dimension of the solution space of the homogeneous system \(A_x = 0\) is also 1.

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Answer:

M = 900

Step-by-step explanation:

10+10+10+10+10+10+10+10+10+9 = Y

Y = 99

Y*9 = A

A = 891

A+9 = M

M = 900

Hey there!

EQUATION #1

SOLVING FOR THE Y-VALUE

10+10+10+10+10+10+10+10+10+9 = y
= 20 + 10 + 10 + 10 + 10 + 10 + 10 + 10 + 9

= 30 + 10 + 10 + 10 + 10 + 10 + 10 + 9

= 40 + 10 + 10 + 10 + 10 + 10 + 9

= 50 + 10 + 10 + 10 + 10 + 9

= 60 + 10 + 10 + 10 + 9

= 70 + 10 + 10 + 9

= 80 + 10 + 9

= 90 + 9

= 99

y = 99

EQUATION #2

SOLVING FOR THE A-VALUE

y * 9 = a

99 * 9 = a

99+99+99+99+99+99+99+99+99 = a

a = 198 + 198 + 198 + 198 + 99

a = 396 + 396 + 99

a = 791 + 99

a = 891

a = 891

EQUATION #3

SOLVING FOR THE M-VALUE

a + 9 = m

891 + 9 = 900

m = 900

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

Answer:

hi here it is

Step-by-step explanation:

the area is squared

The hypotheses for the test are H₀: σ₁² = σ₂² and H₁: σ₁² ≠ σ₂². This is a two-tailed test to assess if there is a difference in the standard deviations of sound levels between the areas designated as "casualty doors" and operating theaters. The claim being investigated is whether or not there is a difference in the standard deviations.

The hypotheses for the test are:

H₀: σ₁² = σ₂² (There is no difference in the standard deviations of the sound levels between the areas designated as "casualty doors" and operating theaters.)

H₁: σ₁² ≠ σ₂² (There is a difference in the standard deviations of the sound levels between the areas designated as "casualty doors" and operating theaters.)

This hypothesis test is a two-tailed test because the alternative hypothesis is not specifying a direction of difference.

To substantiate the claim that there is a difference in the standard deviations, we will conduct a two-sample F-test at a significance level of 0.10, comparing the variances of the two groups.

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There are 512 10-digit binary strings with an even number of 1's.

To find the number of 10-digit binary strings with an even number of 1's, we can use the concept of combinations. In a 10-digit binary string, there are 10 positions for 1's and 0's. An even number of 1's means we can have 0, 2, 4, 6, 8, or 10 ones in the string.

To calculate the number of combinations, we use the formula C(n, k) = n! / (k! * (n-k)!), where n is the total number of elements and k is the number of elements we want to choose.

1. Zero 1's: C(10, 0) = 1 combination
2. Two 1's: C(10, 2) = 45 combinations
3. Four 1's: C(10, 4) = 210 combinations
4. Six 1's: C(10, 6) = 210 combinations
5. Eight 1's: C(10, 8) = 45 combinations
6. Ten 1's: C(10, 10) = 1 combination

Adding these combinations together: 1 + 45 + 210 + 210 + 45 + 1 = 512

So, there are 512 10-digit binary strings with an even number of 1's.

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A has a probability of 0.3, B has a probability of 0.5, and A intersects B has a probability of 0.3. The probability of A ∪ B is 0.5.

We have been given that

P (A) = 0.3

P (B) = 0.5

P ( A∩B) = 0.3

Now, we have the formula of

P (A∪B) = P (A) + P (B) - P ( A∩B)

= 0.3 + 0.5 - 0.3

= 0.5

Probability denotes the possibility of commodity passing. It's a fine branch that deals with the circumstance of a arbitrary event. The value ranges from zero to one. Probability has been introduced in mathematics to prognosticate the liability of circumstances being.

Probability is defined as the degree to which commodity is likely to do. This is the abecedarian probability proposition, which is also used in probability distribution, in which you'll learn about the possible results of a arbitrary trial. To determine the liability of a particular event being, we must first determine the total number of indispensable possibilities.

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Correct question:

Consider two events A and B. The probability of A is 0.3, the probability of B is 0.5, and the probability of A intersect B is 0.3. What is the probability of A union B?

Answer:

direct variation for both, 0.5x and -2.5x

Step-by-step explanation:

what you have is correct. it is linear lines on both plots and tables. and your equations are also correct because for example, -6 times -2.5 is equal to 15.

The simplified answer to the expression is:

(5ax + 10x) / (x^2 - 49) ÷ (15x / (2x + 14))

To simplify this expression, we can start by factoring and simplifying each fraction individually. Let's begin with the numerator of the first fraction, which is 5ax + 10x. We can factor out the common factor of x from both terms, resulting in x(5a + 10). Now let's focus on the denominator, which is x^2 - 49. This is a difference of squares, so we can factor it as (x + 7)(x - 7).

Moving on to the second fraction, the numerator is 15x, which does not require any further simplification. The denominator is 2x + 14, which can be factored as 2(x + 7).

Now we can rewrite the expression as:

[x(5a + 10) / ((x + 7)(x - 7))] ÷ [15x / 2(x + 7)]

To divide fractions, we can multiply the first fraction by the reciprocal of the second fraction. In this case, the reciprocal of 15x / 2(x + 7) is 2(x + 7) / 15x. Multiplying the fractions gives:

[x(5a + 10) / ((x + 7)(x - 7))] * [2(x + 7) / 15x]

Next, we can simplify the expression by canceling out common factors. The x in the numerator and denominator can be eliminated, as well as the (x + 7) term. After canceling out these factors, we are left with:

(5a + 10) / [(x - 7) * (2/15)]

Finally, we can multiply the remaining terms in the denominator to obtain the simplified answer:

(5a + 10) / [(2/15) * (x - 7)]

Therefore, the simplified expression is (5a + 10) / (2/15)(x - 7).

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The factored and simplified form of the complex fraction is (2/3)(a + 2)(x + 7) / (x - 7), assuming x ≠ 7 and x ≠ -7.

To factor and divide the given fractions, first we have to factor the given expressions. For the first fraction, the numerator factors to 5ax + 10x = 5x(a + 2) and the denominator factors to x² - 49 = (x - 7)(x + 7). For the second fraction, the numerator remains 15x, and the denominator factors to 2x + 14 = 2(x + 7). Seeing these factored forms, we can now simplify the complex fraction.

The complex fraction simplification results in (5x(a + 2) / (x - 7)(x + 7)) / (15x / 2(x + 7)), which simplifies to (5x(a + 2) * 2(x + 7)) / (15x*(x - 7)(x + 7)) . Simplifying further yields the final simplified fraction of (2/3)(a + 2)(x + 7) / (x - 7), assuming x ≠ 7 and x ≠ -7.

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Answer:

6.05 kg, 6050 grams

Step-by-step explanation:

The kilograms were already given in your question, so that's one half done.

1 kilogram is equivalent to 1000 grams. If we multiply 6.05 by 1000, then you get 6050, the measurement in grams.

Temperature of refrigerators - Cannot determine. Horsepower of race car engines - Ratio. Marital status of school board members - Nominal. Ratings of television programs - Ordinal. Ages of children enrolled in a daycare - Interval

The level of measurement for the temperature of refrigerators cannot be determined based on the given information. The temperature could potentially be measured on a nominal scale if the refrigerators were categorized into different temperature ranges. However, without further context, it is not possible to determine the specific level of measurement.

The horsepower of race car engines can be measured on a ratio scale. Ratio scales have a meaningful zero point and allow for meaningful comparisons of values, such as determining that one engine has twice the horsepower of another.

The marital status of school board members can be measured on a nominal scale. Nominal scales are used for categorical data without any inherent order or ranking. Marital status categories, such as "married," "single," "divorced," etc., can be assigned to school board members.

The ratings of television programs, such as "poor," "fair," "good," and "excellent," can be measured on an ordinal scale. Ordinal scales represent data with ordered categories or ranks, but the differences between categories may not be equal or measurable.

The ages of children enrolled in a daycare can be measured on an interval scale. Interval scales have equal intervals between values, allowing for meaningful differences and comparisons. Age, measured in years or months, can be represented on an interval scale.

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Answer:

H

Step-by-step explanation:

8302/2=4151

Step-by-step explanation:

8301/2 =4151

To show that det U = 1, we can use the fact that U'U = I, which implies that U^-1 = U'. Taking the determinant of both sides, we have det U^-1 = det(U') = (det U)^T, where T denotes transpose. But det(U') = det U since U is a square matrix. Therefore, (det U)^2 = det(U'U) = det(I) = 1. Taking the positive square root, we get det U = 1 or -1.

However, the problem statement specifies that det U = 11, which is not possible since det U can only be 1 or -1 for a matrix satisfying U'U = I. Therefore, there must be an error in the problem statement.
To show that det U = 1 when U'U = I. Here's the answer using the provided terms:

Since U'U = I, we can apply the determinant to both sides of the equation:

det(U'U) = det(I)

Now, we use the property that det(AB) = det(A) * det(B), so:

det(U') * det(U) = det(I)

The determinant of the identity matrix is 1, so:

det(U') * det(U) = 1

For an orthogonal matrix like U, det(U') = det(U)^(-1), therefore:

det(U)^(-1) * det(U) = 1

Since det(U)^(-1) * det(U) = 1, it implies that det(U) = 1.

So, the correct option to achieve the desired result is B. det(U') * det(U) = 1.

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9514 1404 393

Answer:

  cos(x) = 0.6

Step-by-step explanation:

First, we need to find UQ.

  UQ = UP·cos(y°) = UP·√(1 -sin²(y°)) = (26 cm)√(1 -25/169) = (26 cm)(12/13)

  UQ = 24 cm

Then TQ is ...

  TQ = 1/3UQ = 1/3(24 cm) = 8 cm

And cos(x°) is ...

  cos(x°) = √(1 -sin²(x)) = √(1 -64/100)

  cos(x°) = 6/10 = 3/5

  cos(x°) = 3/5 = 0.6

Answer:

Here's the pic of the graph

Step-by-step explanation:

We would reject the null hypothesis in favor of the alternative hypothesis.

The null hypothesis (H0) is that the average number of classes per quarter for students is 2 or less. The alternative hypothesis (Ha) is that the average number of classes per quarter for students is greater than 2. We can express this as:

H0: μ ≤ 2 (mean number of classes per quarter)

Ha: μ > 2

Where μ represents the population mean. This hypothesis is based on the instructor's belief that students take more than 2 classes on average.

The significance level (alpha) is given as 0.01, which means that if the p-value of the test is less than 0.01, we would reject the null hypothesis in favor of the alternative hypothesis.

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Answer:

didn' t understand ....

Interval and ratio scales of data measurement are associated with quantitative data.

Data measurement:- Data measurement is the way in which data can be subcategorized to analyze the data properly. Data can be classified into two types-

Thus we can conclude that, Interval and ratio scales of data measurement are associated with quantitative data.

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The given inequality is

First, we need to isolate y

To do that we want to move 2y from the right side to the left side, then

To do that subtract 2y from 3y and subtract 2y from (2y + 3)

Since 3y - 2y = 1y

Since 2y - 2y = 0

Since 0 + 3 = 3

Then the answer is

The answer is B

Answer:

1 hour 33 minutes

Step-by-step explanation:

distance/speed= time

d =800/600

d=1.33

The aeroplane takes 1.33 hours to traverse a distance of 800 km.

Speed is the rate at which an object's position changes, measured in meters per second. For example, if an object starts at the origin, and then moves three meters in three seconds, its speed is one meter per second. The equation for speed is simple: distance divided by time

Given here: An airplane flies a distance of 800 km with an average speed of 600 km/h

Thus the time taken by the aeroplane to cover that distance is

t=800/600

t=4/3

t=1.33 hours

Hence, The aeroplane takes 1.33 hours to traverse a distance of 800 km.

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Answer:

2t + 15

Step-by-step explanation:

you add the expressions

\(perimeter=(t+5)+(t)+(10)=2t+15\)

I hope this help you

Answer:

For f(x) = 4x + 5, g(x) = -4x + 7:The transformation of g(x) from f(x) is a reflection across the y-axis and a shift upward by 2 units.For f(x) = 3x - 2, g(x) = 3(x + 2) - 2:The transformation of g(x) from f(x) is a rotation counterclockwise by 90 degrees and a reflection across the y-axis.For f(x) = 2/x + 16, g(x) = ⅔(x - 3) - 16:The transformation of g(x) from f(x) is a shift to the left by 2 units, a reflection across the y-axis, and a shift downward by 32 units.For f(x) = 14x + 1, g(x) = 14(x + 2) + 3:The transformation of g(x) from f(x) is a shift to the right by 3 units and a shift downward by 2 units.For f(x) = 8(x + 2) - 3, g(x) = 8(x + 2) + 6:The transformation of g(x) from f(x) is a shift upward by 6 units.For f(x) = 3(x - 1) + 2/3, g(x) = -3(x - 1) - 2/3:The transformation of g(x) from f(x) is a reflection across the y-axis.For f(x) = -½(x + 2) - 4, g(x) = ½(-x - 2) + 6:The transformation of g(x) from f(x) is a reflection across the y-axis and a shift upward by 10 units.

Step-by-step explanation:

Answer:

Yes, the number is in scientific notation. Answer should be D.

Step-by-step explanation:

Answer:

yes thats correct.

For it to be in scientific notation the first part is a number between 1 and 10, and the second part is a power of ten