Miguel has $30. He spends $6.75 on a movie ticket, $3.65 for snacks, and $2.00 for bus fare each way.


How much money does Miguel have left? please help :}

The result of division of 8z²-4z-5 by 2z is 4z - 2 - 2.5z. 4z - 2 - 2.5z can also be written as 4z - 2.5z - 2.In conclusion, the next step after the first step of dividing 8z²-4z-5 by 2z is to multiply the divisor and the first term of the quotient and subtract it from the dividend.

When we have to divide 8z²-4z-5 by 2z, we follow the steps given below: Step 1: Firstly, we write the given polynomial in the standard form of the division process as shown below.2z/8z² - 4z - 5Step 2: Divide the first term of the dividend by the first term of the divisor and write the result as the first term of the quotient.2z goes into 8z² 4 times. So, the first term of the quotient is 4z.Step 3: Now, multiply the divisor and the first term of the quotient and subtract it from the dividend.8z² - 4z - 5 – (8z²) = -4z - 5Step 4: Now we bring down the next term of the dividend.2z/-4z - 5Step 5: Divide the first term of the dividend by the first term of the divisor and write the result as the second term of the quotient.2z goes into -4z -2 times. So, the second term of the quotient is -2.Step 6: Multiply the divisor and the second term of the quotient and subtract it from the dividend.-4z - 5 – (-4z) = -5Step 7: We bring down the next term of the dividend.2z/-5Step 8: Divide the first term of the dividend by the first term of the divisor and write the result as the third term of the quotient.2z goes into -5 - 2 times. So, the third term of the quotient is -2.5.Step 9: Multiply the divisor and the third term of the quotient and subtract it from the dividend.-5 – (-5) = 0.

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Answer:

height ≈ 9 feet

Step-by-step explanation:

the wall is a square, so the length and width are equal

l • w = area

l • w = 84.5

l = w

l = √84.5

= 9.19238815543

≈ 9 feet

Using sampling concepts, it is found that a sample that involves an equal proportion of boys and girls is representative of the population.

It is a common statistics practice, when we want to study something from a population, we find a sample of this population, which is a group containing elements of a population. A sample has to be representative of the population, that is, it has to involve all segments of the population.

The students of the seventh grade can be divided into boys and girls, hence, a sample that involves an equal proportion of boys and girls is representative of the population.

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Answer:

Step-by-step explanation:

Answer:

No solution

Step-by-step explanation:

3x = 3x + 4

-3x  -3x

0 = 4

Examples of solutions:

2 = 2 infinite solutions

x = 2 one solution

2 = 0 no solution

One if the functions of a protein macromolecule is: c. moving material in and out of cells

Proteins can be described as a complex macromolecules that are responsible for several key functions such as the regulation of cells, tissue, and organs of living organisms including their structure.

Proteins also help in performing the following:

Regulation of gene expression

Structural support, and

Many other cellular processes.

Therefore, a function of a protein macromolecule is: c. moving material in and out of cells.

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Answer:

1. 4/2

2. 2/4

3. 4/-4

4. 0/2

5.3/4

i am so sorry if i am wrong

It seems there is an error in the given vector field F⃗ = 3(x+z)i⃗ + 2j⃗ + 3zk⃗ as it does not have a component along the y-axis. Please double-check the vector field or provide the correct vector field to proceed with the calculation.

To compute the flux of the vector field F⃗ = 3(x+z)i⃗ + 2j⃗ + 3zk⃗ through the surface S given by y=x^2+z^2, with 0≤y≤16, x≥0, z≥0, oriented toward the xz-plane, we can use the surface integral.

The surface integral of a vector field F⃗ over a surface S is given by the formula:

∬S F⃗ · dS = ∬S F⃗ · (n⃗ dS)

where F⃗ is the vector field, dS is the differential area vector, and n⃗ is the unit normal vector to the surface.

In this case, the surface S is given by y=x^2+z^2, with 0≤y≤16, x≥0, z≥0. We can parameterize this surface as:

r(x, z) = xi⃗ + yj⃗ + zk⃗ = xi⃗ + (x^2+z^2)j⃗ + zk⃗

To find the normal vector n⃗ to the surface, we can take the cross product of the partial derivatives of r(x, z) with respect to x and z:

n⃗ = ∂r/∂x × ∂r/∂z

= (1i⃗ + 2xj⃗) × (0i⃗ + 2zj⃗)

= -2xz i⃗ + 2zj⃗ + 2xk⃗

Now, we can calculate the flux:

∬S F⃗ · (n⃗ dS) = ∬S (3(x+z)i⃗ + 2j⃗ + 3zk⃗) · (-2xz i⃗ + 2zj⃗ + 2xk⃗) dS

= ∬S (-6x^2z - 4xz + 6xz^2 + 6xz) dS

= ∬S (-6x^2z + 2xz + 6xz^2) dS

To evaluate this integral, we need to determine the limits of integration for x, y, and z.

Since the surface is defined by 0≤y≤16, x≥0, z≥0, we have:

0 ≤ y = x^2 + z^2 ≤ 16

Simplifying the inequality, we get:

0 ≤ x^2 + z^2 ≤ 16

From this, we can see that x and z both range from 0 to 4.

Now, we can evaluate the flux:

∬S (-6x^2z + 2xz + 6xz^2) dS = ∫∫ (-6x^2z + 2xz + 6xz^2) dA

where dA is the differential area.

Integrating over the limits 0 ≤ x ≤ 4 and 0 ≤ z ≤ 4, we can calculate the flux.

However, it seems there is an error in the given vector field F⃗ = 3(x+z)i⃗ + 2j⃗ + 3zk⃗ as it does not have a component along the y-axis. Please double-check the vector field or provide the correct vector field to proceed with the calculation.

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When p = 0.125 the equation -3p + ( 1/8 ) = ( - 1/4 ) is true.

The given equation is:

-3p + ( 1/8 ) = ( - 1/4 )

On the left-hand side of the equation, the denominator of the two terms is not the same.

So, the LCM of 1 and 8 is 8.

Therefore,

- 3p × ( 8 / 8 ) + ( 1 / 8 ) × ( 1 / 1 ) = ( - 1 /4 )

- 24p / 8 + 1 / 8 = - 1 / 4

( - 24p + 1 ) / 8 = - 1 / 4

Now multiplying each side of the equation by 8.

We get,

[ ( - 24p + 1 ) / 8 ] × 8 = ( - 1 / 4 ) × 8

- 24p + 1 = - 8 / 4

- 24p + 1 = - 2

Subtracting 1 from each side of the equation,

- 24p + 1 - 1 = - 2 - 1

-24p = - 3

Now, divide each side of the equation by 24.

- 24p / 24 = - 3 / 24

- p = ( - 1 / 8 )

Multiplying by - 1 on each side of the equation,

( - p ) × ( - 1 ) = ( - 1 / 8 ) × ( - 1 )

p = 1 / 8

p = 0.125

The value of p = 0.125 will make the equation true.

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Answer:

7/20

Step-by-step explanation:

Total probability=1

Total probability of selecting either cherry or raspberry=¼+²/5=13/20

Probability of getting sour apple=1-13/20=7/20

The weight of the piknits can be used to predict the number of gogles as there is Linear equation in variables may be defined as a linear courting among x and y, that is, variables.

In this case, x is the impartial variable, and y relies upon on it, so y is known as the established variables.

linear courting (or linear association) is a statistical time period used to explain a straight-line courting among variables. Linear relationships may be expressed both in a graphical layout or as a mathematical equation of the shape y = mx + b.

"There is no linear relationship between the weight of the and the number of glasses"

"There is a linear relationship.

A. Yes, because the scatterplot shows a linear pattern.

C. Yes, because a random sample was taken from Piknits for the scatterplots of the 4th and 5th residuals is.

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Answer:

46

Step-by-step explanation:

4+3x(8-2)+4

=7x6+4

=42+4

=46

Substituting these values back into equation (i), we get D = 4(3) = 12. There are 3 nickels, 12 dimes, and 3 quarters in the collection.

Let's assume the number of nickels is N, the number of dimes is D, and the number of quarters is Q. From the given information, we can deduce three equations:

(i) D = 4N (since there are 4 times more dimes than nickels),

(ii) N + D + Q = 18 (since there are 18 coins in total), and

(iii) 5N + 10D + 25Q = 290 (since the total value of the coins is 290 cents or $2.90).

To solve these equations, we can substitute the value of D from equation (i) into equations (ii) and (iii).

Substituting D = 4N into equation (ii), we get N + 4N + Q = 18, which simplifies to 5N + Q = 18.

Substituting D = 4N into equation (iii), we get 5N + 10(4N) + 25Q = 290, which simplifies to 45N + 25Q = 290.

Now we have a system of two equations with two variables (N and Q). By solving these equations simultaneously, we find N = 3 and Q = 3.

Substituting these values back into equation (i), we get D = 4(3) = 12.

Therefore, there are 3 nickels, 12 dimes, and 3 quarters in the collection.

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Range: All real numbers greater than or equal to 3. The Option C.

To find the range of the function, we need to determine the set of all possible y-values that the function takes.

Since the line crosses the y-axis at (0, 2), we know that the function's range includes the value 2. Also, since the line turns at (-1, 3), the function takes values greater than or equal to 3.

Therefore, the range of the function is all real numbers greater than or equal to 3.

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Answer:

44

Step-by-step explanation:

come on now.

the perimeter is

2×length + 2×width = 110

width = 4×length

so, we use the second equation in the first :

2×length + 2×(4×length) = 110

2×length + 8×length = 110

10×length = 110

length = 110/10 = 11

width = 4×length = 4×11 = 44

The price of one glitter wand equals 50/8 = 6.25.

Therefore, we must find out if one wand for each type of wand below costs $6.25.

$20/$4 = $5

Therefore, 4 sparkle wands for $20 does not have the same price per wand as glitter wands.

$37.50/$6 = $6.25

Therefore, 6 fairy wands for $37.50 has the same price per wand as glitter wands.

$65/$10 = $6.5

Therefore, 10 glow wands for $65 does not have the same price per wand as glitter wands.

Answer:

Step-by-step explanation:

the price of one glitter wand is 50/8=6.25

first, 20/4= 5 ,compare with glitter wand price so, not the same glitter wand price

second, 37.50/6=6.25 ,compare with glitter wand price so, the same glitter wand price

third, 65/10 = 6.5 ,compare with glitter wand price so, not the same glitter wand price

=====================================================

Explanation:

The inscribed angle JKL = 88 degrees is exactly half that of the arc it subtends, or cuts off. That arc being arc JML

This means arc JML = 2*(angle JKL) = 2*88 = 176 degrees

Answer:

Step-by-step explanation:

try D

The set described as "{x | x is a woman who served as U.S. vice president before 1900}" refers to a specific condition that cannot be fulfilled.

Prior to 1900, there were no women who held the position of U.S. vice president.

Therefore, there are no elements that satisfy the given condition, resulting in an empty set.

An empty set, also known as the null set, is a set that does not contain any elements. In this case, since there were no women who served as U.S. vice president before 1900, the set does not have any members and is considered empty.

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Complete question

Deteine if the set is the empty set. \{x \mid x is a woman who served as U.S. vice president before 1900 \}

Answer:

A, B , C and D

Step-by-step explanation:

Answer:

the answer is b

Step-by-step explanation:

Answer:

If there is more than one X value in the ordered pairs and they have different Y values, it is not a function. Otherwise, it is a functio

Answer:

You could set up the relation as a table of ordered pairs. Then, test to see if each element in the domain is matched with exactly one element in the range. If so, you have a function!

Part A

The starting amount of water is 95 cubic meters or m^3 for short. This is the y intercept because it handles the starting amount.

Then the pool is filled at a rate of 4 m^3 per minute. This is the slope, i.e. the rate of change. Because this rate of change is constant, we have a linear equation.

We go from y = mx+b to y = 4x+95

Replace x with t to get the answer.

==============================================

Part B

Plug in t = 17 and compute

V(t) = 4t + 95

V(17) = 4*17 + 95

V(17) = 163

===============================================

Part C

We go in reverse compared to the previous part.

This time we don't know the t value, but we are given the V(t) value instead.

V(t) = 231

4t+95 = 231

4t = 231-95

4t = 136

t = 136/4

t = 34

Answer:

40 coats don't have hoods

Answer: don’t listen to that answer it’s at time 5 hours Sean and billy etc

AT TIME = 5 HOURS, SEAN AND BILLY BOTH MEASURE THE SAME PRODUCTIVITY

Step-by-step explanation:

I’m visual dude. Smart dude. So if u looo at x=5 the only intersection was with Tom and Billy. Not Sean.

Billy would probably be the most productive worker if these tendencies persisted, and Sean and Billy's productivity were assessed again in a few more hours. Thus, option B is correct.

The statement "If these trends continued and Sean and Billy's productivity was measured again in a few more hours, Billy would likely be the most productive employee" cannot be determined as true or false based on the given information.

While it is true that both Sean and Billy's productivity rates increased throughout the day, it is not clear how much they increased or if Billy's rate increased more than Sean's.

Therefore, it is uncertain whether Billy would be the most productive employee if their productivity rates were measured again in a few more hours.

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We need Speed

\(\\ \tt\hookrightarrow Speed=\dfrac{Distance}{Time}\)

\(\\ \tt\hookrightarrow Speed=2/3\div 1/6=2/3(6)=2(2)=4mph\)

If a coccus (a spherical bacteria) divides along two perpendicular planes and four cells remain attached together, it is called a tetrad. Therefore, the correct answer is A. tetrad.

A. Tetrad: A tetrad refers to a group of four cells resulting from the division of a single bacterium along two perpendicular planes. This arrangement forms a square or cube-like structure where the four cells remain attached together. Tetrads are commonly observed in certain bacteria, such as the genus Micrococcus.

B. Sarcina: Sarcina is a term used to describe a specific arrangement of cocci bacteria. In this arrangement, cocci divide along three perpendicular planes, resulting in packets of eight cells. Each packet resembles a cube-like structure composed of eight cells tightly attached together. Sarcinae are commonly observed in the genus Sarcina.

C. Staphylococcus: Staphylococcus refers to a genus of bacteria that are spherical (cocci) in shape. However, staphylococci typically divide randomly in multiple planes and form irregular clusters or grape-like arrangements rather than specific patterns like tetrads or sarcinae.

D. Streptococcus: Streptococcus is another genus of bacteria that are spherical (cocci) in shape. However, streptococci typically divide along a single axis and form chains or pairs rather than specific patterns like tetrads or sarcinae.

Considering the given scenario where a coccus divides along two perpendicular planes and four cells remain attached together, the correct term to describe this arrangement is A. tetrad.

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The term for a coccus bacterium dividing along two distinct perpendicular planes, resulting in four attached cells, is a 'tetrad'. This is different than 'sarcina', which is a genus of bacteria known for this behavior, and 'staphylococcus' and 'streptococcus', which are other forms of bacterial groupings.

When a coccus bacterium divides in two distinct perpendicular planes resulting in four cells that remain adhered together, it forms a particular structure called a tetrad. This pattern of cell division and grouping is characteristic of some gram-positive bacteria. However, it's important to differentiate here that 'tetrad' just refers to this particular grouping of four cocci bacteria, whereas Sarcina is a genus of bacteria that are known for grouping in this fashion. On the contrary, Staphylococcus and Streptococcus represent other forms of groupings - spherical bacteria arranged in irregular clusters or chains, respectively.

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Answer:

Step-by-step explanation:

Given

The difference in mass

Earth is 85.71 times heavier than moon

Jupiter is 333.33 times heavier than Earth

The height of the right triangle is 24 centimeters. This is determined by solving the equation for the area of the triangle, which is given as 96 cm², and considering that the height is 3 times the length of the base. By substituting the values and solving the equation, we find that the height is indeed 24 centimeters.

To determine the height of the right triangle, we can use the formula for the area of a triangle, which is given by the formula A = (1/2) * base * height. In this case, the area is known to be \(96 cm^2\).

Let's denote the length of the base as x. According to the problem statement, the height is 3 times the length of the base, so the height can be expressed as 3x.

Substituting these values into the area formula, we get:

\(96 = (1/2) * x * 3x\)

Simplifying the equation:

\(96 = (3/2) * x^2\)

To solve for x, we can divide both sides of the equation by (3/2):

\(64 = x^2\)

Taking the square root of both sides, we find:

x = 8

Since the height is 3 times the length of the base, the height is:

3 * 8 = 24 centimeters.

Therefore, the height of the right triangle is 24 centimeters.

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Therefore, the total surface area of the rectangular prism and equilateral prism is 2lw + 2lh + 2wh + 3sH + s²√(3) square centimeters.

To find the total surface area of the rectangular prism and equilateral prism, we need to add up the surface areas of all the individual faces. Let's assume that the dimensions of the rectangular prism are l, w, and h, and the dimensions of the equilateral prism are s and H.

The total surface area of the rectangular prism is given by:

Area_rectangular_prism = 2lw + 2lh + 2wh

The total surface area of the equilateral prism is given by:

Area_equilateral_prism = 3sH + s²√(3)

The equilateral prism has three identical equilateral triangles as faces, each with side length s. The height of each triangle is H, and the formula for the area of an equilateral triangle is given by (side length)^2sqrt(3)/4.

To find the total surface area of the combined solid, we add up the surface areas of both prisms:

Total surface area = Area_rectangular_prism + Area_equilateral_prism

Substituting the given dimensions, we get:

Total surface area = 2lw + 2lh + 2wh + 3sH + s²√(3)

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Expected completion time of the path other than the critical path is 18.16 weeks.

a) The expected times and variances for each of the activities are as follows:

Activity 1:

Expected Time = 9.83 weeks

Variance = 0.69 weeks

Activity 2:

Expected Time = 10.33 weeks

Variance = 2.78 weeks

Activity 3:

Expected Time = 9.83 weeks

Variance = 0.69 weeks

Activity 4:

Expected Time = 7.83 weeks

Variance = 1.36 weeks

b) The expected completion time of the critical path is 19.66 weeks.

The expected completion time of the path other than the critical path is 18.16 weeks.

c) The variance of the critical path is 1.38 weeks.

The variance of the path other than the critical path is 4.14 weeks.

d) If the time to complete the activities on the critical path is normally distributed, the probability that the critical path will be finished in 22 weeks or less is -98.

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