Here's an equation I need to solve:

x/2 +3 = 10
The first step is to subtract 3 from both sides:

x/2 = 7
What step do you do next to solve for x?


divide by 2


subtract 7


multiply by 2


add 7

Answer:

b=60 c=70 a=50 d=70 e=60 f=50

Step-by-step explanation:

Answer:

625 pages

Step-by-step explanation:

Rate x time of the one printer + the rate x time of the second printer = 1000 pages

t= time

(\(\frac{300}{10}\) )t +( \(\frac{400}{8}\)) t = 1000

30t + 50t = 1000

t(30 + 50) = 1000

80t = 1000   Divide both sides by 80

t = 12.5

It took 12.5 minutes to get this job done with both printers.

Look at printer b

\(\frac{400}{8}\) (12.5) = pages

50 x 12.5 = 625 pages

The system of inequalities that represents the number of quarters, x, and the number of dimes, y, that Mai could have is given by:

x + y ≥ 10 and 0.25x + 0.1y < 2

These are the two systems of inequalities that represent the number of quarters, x, and the number of dimes, y, that Mai could have.

Let x be the number of quarters and y be the number of dimes that Mai has. Then, the system of inequalities can be represented as:

Thus, the first inequality is x + y ≥ 10.

Also, Mai has less than $2.00, therefore, the second inequality is 0.25x + 0.1y < 2. The value of x and y are assumed to be non-negative integers.+

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Answer:

26

Step-by-step explanation:

they collected 26 cans on Tuesday

Step-by-step explanation:

just subtract the amount on Wednesday to the total of 44 and it gives you the number before it was added all together which is 26

Answer:s

Step-by-step explanation:

The statement "Z-scores are negative for values of x that are less than the distribution mean" is true. A

measures the number of standard deviations a given value is from the mean.

Since values less than the mean are below the average, their z-scores will be negative.

B. The statement "Z-scores are equal to 1.0 for values of x that are equal to the distribution mean" is false. The z-score for a value equal to the mean is always 0, not 1. A z-score of 1.0 represents a value that is one standard deviation above the mean.

C. The statement "Z-scores are zero for values of x that are less than the distribution mean" is false. Z-scores for values less than the mean will be negative, not zero. As mentioned earlier, the z-score of 0 corresponds to a value equal to the mean.

D. The statement "Z-scores are positive for values of x that are less than the distribution mean" is false. Z-scores for values less than the mean will be negative, not positive. Positive z-scores represent values greater than the mean.

Regarding Allison counting the number of customers visiting her store on a given day, the statement "she is working with continuous data" is true. Continuous data refers to measurements that can take on any value within a certain range. The number of customers visiting a store can be any non-negative real number, making it a continuous variable.

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Connect the points where the first arc crosses the triangle's base and the second arc intersects the base of the triangle with the straightedge to create the triangle's third side, BC.

Generally, To accurately construct triangle ABC, you will need a straightedge (such as a ruler) and a protractor. Here are the steps to follow:

Use the straightedge to draw a straight line segment of length 8 cm, which will represent side AB. This line segment will be the base of the triangle.

Place the point of the protractor at one end of the line segment and draw an arc that intersects the other end of the line segment.

Measure the angle formed by the line segment and the arc using the protractor. The measure of this angle should be 70 degrees.

Without changing the position of the protractor, draw another arc that intersects the first arc and the base of the triangle.

Use the straightedge to connect the point where the second arc intersects the base of the triangle to the point where the first arc intersects the base of the triangle. This will form the third side of the triangle, AC.

Finally, use the straightedge to draw the third side of the triangle, BC, by connecting the point where the first arc intersects the base of the triangle to the point where the second arc intersects the base of the triangle.

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Answer:

a₁ = - 148

Step-by-step explanation:

The n th term of an AP is

\(a_{n\) = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Given d = 2 and a₃₁ = - 88 , then

a₁ + (30 × 2) = - 88

a₁ + 60 = - 88 ( subtract 60 from both sides )

a₁ = - 148

a₁ = - 148

Step-by-step explanation:

The n th term of an AP is

= a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Given d = 2 and a₃₁ = - 88 , then

a₁ + (30 × 2) = - 88

a₁ + 60 = - 88 ( subtract 60 from both sides )

a₁ = - 148

Answer: 63

Step-by-step explanation:

trust !

the angle between 0 and 2π that is coterminal with 17π/4 is π/4.

To find the angle between 0 and 2π that is coterminal with 17π/4, we need to find an equivalent angle within that range.

Coterminal angles are angles that have the same initial and terminal sides but differ by a multiple of 2π.

To determine the coterminal angle with 17π/4, we can subtract or add multiples of 2π until we obtain an angle within the range of 0 to 2π.

Starting with 17π/4, we can subtract 4π to bring it within the range:

17π/4 - 4π = π/4

The angle π/4 is between 0 and 2π and is coterminal with 17π/4.

what is equivalent'?

In mathematics, the term "equivalent" is used to describe two things that have the same value, meaning, or effect. When two mathematical expressions, equations, or statements are equivalent, it means that they are interchangeable and represent the same mathematical concept or relationship.

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Answer:

It is a right triangle

Step-by-step explanation:

Answer:

There will need to be 2 and 1/3 cups of flour according to the recipe

Step-by-step explanation:

Given the recipe, we can say that for each 2 and 2/3s cups of milk, one cup of flour is used. We can write this as ( 2 + 2/3)  cups of milk / (1) cup of flour.

We can also write 2 + 2/3 as 2*(3/3) + 2/3 = 6/3 + 2/3 = 8/3, making our ratio

(8/3) / 1

The ratio stays the same, no matter how many cups of milk or flour are used. Therefore, (8/3) /1 = (4 + 2/3) / cups of flour

Writing our final cups of flour as c, we can say

(8/3) / 1 = (4+2/3) / c

(4+2/3)/c = (12/3 + 2/3) /c = (14/3) /c

(8/3)/1 = (14/3) /c

anything divided by 1 is equal to itself

(8/3) = (14/3)/c

multiply both sides by c to make the variable not a denominator

(8/3) * c = 14/3

multiply both sides by 3 to remove the denominators

8 * c = 14

divide both sides by 8 to isolate the c

c = 14/8 = 7/3 = 6/3 + 1/3 = 2 + 1/3

There will need to be 2 and 1/3 cups of flour according to the recipe

Answer:

n = 2 i beleve

Step-by-step explanation:

i dont know if this is right but i did the math and im in 6th grade so im not really good with that stuff

<3 have a good day <3

Answer:

The volume of the cylinder section is about 82.8, and the volume of the cone is about 28.2.

Step-by-step explanation:

To find the cone's volume, it is v=pir^2*h/3

To find the cylinder, it is v=pir^2*h

I'm sure you can do the rest.

Answer:

Step-by-step explanation:

z= y( z-y)/x

z = yz - y^2 /x

zx = yz -y^2

y^2 = yz - zx

y^2 = ( y- x)z

therefore  z = y^2/(y-x)

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Answer:

r^2 + 14r + 33

Step-by-step explanation:

Apply the "FOIL" method for multiplying two binomials:

(r+3) (r+11) = r^2 (first terms) +

                    + 33 (last terms) +

                     + 11r (outer terms) +

                      + 3r (inner terms)

Combining ilke terms, we get:

r^2 + 14r + 33

The APR, or stated rate, is calculated as the annualized interest rate expressed as a percentage.

The APR, or stated rate, represents the annualized interest rate on a loan or investment, expressed as a percentage.

To calculate the APR, we need to consider the nominal interest rate and the compounding frequency. The formula to calculate the APR is:

APR = (1 + nominal interest rate/compounding periods)^(compounding periods) - 1

The nominal interest rate is the stated rate without taking compounding into account.

The compounding periods refer to the number of times interest is compounded in a year, typically based on daily, monthly, or quarterly periods.

By applying the formula and considering the appropriate compounding periods, we can determine the APR.

The APR is an important metric as it allows for easy comparison of interest rates across different financial products.

It helps consumers and investors understand the true cost or yield associated with a loan or investment and enables them to make informed decisions.

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The tap coefficients for the ZF equalizer are h0 = 1, h1 = -0.7, h2 = -1.2, and h3 = h4 = 0 And the tap coefficients for the MMSE equalizer are h0 = h1 = h2 = h3 = h4 = 1/5.

To design a Zero-Forcing (ZF) equalizer and a Minimum Mean Square Error (MMSE) equalizer with 5 taps, we need to solve a system of linear equations using the received pulse samples. Let's denote the tap coefficients as h0, h1, h2, h3, and h4.

For the Zero-Forcing equalizer, the goal is to minimize the interference from adjacent symbols. The equalizer output should ideally be the desired symbol with zero interference from neighboring symbols. Mathematically, this can be expressed as:

p(0) = h0

p(Tb) = h0 + h1

p(-Tb) = h0 - h1

p(2Tb) = h0 + h2

p(-2Tb) = h0 - h2

This leads to the following system of equations:

h0 = 1

h0 + h1 = -0.1

h0 - h1 = 0.6

h0 + h2 = -0.2

h0 - h2 = 0.17

Solving these equations, we find:

h0 = 1

h1 = -0.7

h2 = -1.2

So, the tap coefficients for the Zero-Forcing equalizer are: h0 = 1, h1 = -0.7, h2 = -1.2, and h3 = h4 = 0 (since we have a 5-tap equalizer).

For the Minimum Mean Square Error (MMSE) equalizer, the goal is to minimize the mean square error between the equalizer output and the desired symbol, taking into account the noise and interference. The MMSE equalizer can be formulated as an optimization problem, but in this case, we can use the solution obtained from the ZF equalizer as an initial guess.

The MMSE equalizer tap coefficients can be calculated using the Wiener-Hopf equation:

Rhh * h = Rhp

where Rhh is the autocorrelation matrix of the received pulse, h is the tap coefficient vector, and Rhp is the cross-correlation vector between the received pulse and the desired symbol.

For the given received pulse samples, the autocorrelation matrix Rhh and the cross-correlation vector Rhp can be calculated as follows:

Rhh = [p(0)p(0) p(0)p(Tb) p(0)p(-Tb) p(0)p(2Tb) p(0)p(-2Tb)

p(Tb)p(0) p(Tb)p(Tb) p(Tb)p(-Tb) p(Tb)p(2Tb) p(Tb)p(-2Tb)

p(-Tb)p(0) p(-Tb)p(Tb) p(-Tb)p(-Tb) p(-Tb)p(2Tb) p(-Tb)p(-2Tb)

p(2Tb)p(0) p(2Tb)p(Tb) p(2Tb)p(-Tb) p(2Tb)p(2Tb) p(2Tb)p(-2Tb)

p(-2Tb)p(0) p(-2Tb)p(Tb) p(-2Tb)p(-Tb) p(-2Tb)p(2Tb) p(-2Tb)p(-2Tb)]

Rhp = [p(0)d(0)

p(Tb)d(0)

p(-Tb)d(0)

p(2Tb)d(0)

p(-2Tb)d(0)]

where d(0) is the desired symbol.

Substituting the received pulse samples into these matrices, we get:

Rhh = [1 1 1 1 1

1 1 1 1 1

1 1 1 1 1

1 1 1 1 1

1 1 1 1 1]

Rhp = [1

1

1

1

1]

Solving the equation Rhh * h = Rhp, we find:

h = [1/5

1/5

1/5

1/5

1/5]

So, the tap coefficients for the MMSE equalizer are: h0 = h1 = h2 = h3 = h4 = 1/5.

Therefore, the tap coefficients for the ZF equalizer are: h0 = 1, h1 = -0.7, h2 = -1.2, and h3 = h4 = 0.

And the tap coefficients for the MMSE equalizer are: h0 = h1 = h2 = h3 = h4 = 1/5.

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Answer:

Below

Step-by-step explanation:

This IS basically an experiment with  15 hits out of 45 at-bats

   15/45 = .333    or  33.3 %  experimental probability

Answer:

--------------------------------------

Given:

Find the experimental probability.

Probability of getting a hit is:

Answer:

\(\Large \boxed{\frac{4m}{11}+16k}\)

Step-by-step explanation:

The quotient is the result from division.

4m divided by 11 is:

\(\displaystyle \frac{4m}{11}\)

16k is added to the result.

\(\displaystyle \frac{4m}{11}+16k\)

If his friend Nick pulls 2 marbles from the first bag, what is the probability of him getting 2 purple marbles then, the probability of Nick getting 2 purple marbles is P = (6C2) * (0C0) / (11C2) = 0.218 or 21.8%.

For the first question, the probability of getting red twice and blue once can be calculated using the formula: P = (n!/(x!y!z!)) * (p1^x) * (p2^y) * (p3^z), where n is the total number of throws, x is the number of reds, y is the number of blues, z is the number of other colors, p1 is the probability of getting red, p2 is the probability of getting a blue, and p3 is the probability of getting the other color.

Using this formula, we can calculate that the probability of getting red twice and blue once is: P = (3!/(2!1!0!)) * (4/6)^2 * (2/6)^1 = 0.267 or 26.7%.

For the second question, the probability of getting blue then red can be calculated by multiplying the probabilities of each individual throw. The probability of getting blue on the first throw is 4/6, and the probability of getting red on the second throw is 2/6. Therefore, the probability of getting blue then red is: P = (4/6) * (2/6) = 0.222 or 22.2%.

For the third question, the probability of getting red both times can be calculated by multiplying the probabilities of each individual throw. The probability of getting red on the first throw is 2/6, and the probability of getting red on the second throw is also 2/6. Therefore, the probability of getting red both times is: P = (2/6) * (2/6) = 0.111 or 11.1%.

For the fourth question, the probability of Nick getting 2 purple marbles can be calculated using the formula: P = (n1Cx) * (n2Cy) / (nCx), where n1 is the number of purple marbles in the first bag, n2 is the number of purple marbles in the second bag, x is the number of purple marbles Nick chooses from the first bag, y is the number of purple marbles Nick chooses from the second bag, and n is the total number of marbles Nick chooses.

Using this formula, we can calculate that the probability of Nick getting 2 purple marbles is: P = (6C2) * (0C0) / (11C2) = 0.218 or 21.8%.

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Answer:

because there is always the part you had to start cutting

Step-by-step explanation:

The number of segments obtained during a partition exercise or problem is usually greater than the number of partitions by 1 because the first partition will always yield two segments.

The first partition obtained will yield two segments after which the subsequent partitions yields a value of 1.

Therefore, the increment by 1 in the number segments obtained is due to the two segments which the first partition yields.

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Answer:

£140000

Step-by-step explanation:

From 2014 to 2018 is 4 years

1 year = 10% increase

4 years = 40% increase

40% = 0.4

We take £100 000 times 0.4 = £40000

So, £40000 is the value increase of the house in 4 years
Then we add both numbers to get the total value of the house

£100000 + £40000 =  £140000

So, the house is  £140000 at the start of 2018.

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Answer:

  $146,410

Step-by-step explanation:

You want to know the value of a house at the start of 2018 that is worth £100 000 at the start of 2014, and increases in value 10% per year.

The value at the start of 2015 is ...

  £100 000 × (1 +10%) = £110 000

The next year, the value is ...

  £110 000 × 1.10 = £121 000

After 2 more years, the value at the start of 2018 is ...

  £121 000 × 1.10² = £146 410

At the start of 2018, the value of Tim's house is £146 410.

__

Additional comment

Essentially, the value compounds. The increased value after 1 year is the basis of the value increase for the next year. This makes the value an exponential function, rather than the linear function it would be if the value increased by £10 000 per year.

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Answer:

p+4

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The constant of proportionality is at point (1, k), where k = constant of proportionality.

It can also be found using the ratio, k = y/x.

If variables x and y are in a proportional relationship between each other, then they have a constant of proportionality which is represented as k.

Thus, the coordinates of the constant of proportionality between x and y would be (1, k). This means, the value of k is the number of y units that would require 1 unit of x.

Thus, we can find the value of k by determining the ratio of y to x. Therefore, constant of proportionality, k = y/x.

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Answer:

\(4 < x < 38\)

Step-by-step explanation:

\(21 - 17 = 4\)

\(21 + 17 = 38\)

The range of 3rd side is in between 4 to 38.

\(4 < side 3 < 38\)

A triangle has side lengths of 21 cm and 17 cm

side 1 = 21 cm

side 2 = 17 cm

What is the relation between side of triangle?

The sum of the lengths of any two sides of a triangle must be greater than the length of the third side.

Therefore,

length of side 3

\(21-17 < side 3 < 21+17\)

\(4 < side 3 < 38\)

Therefore the range of 3rd side is in between 4 to 38.

\(4 < side 3 < 38\)

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Now, apply the product rule to find f'(x): f'(x) = u'(x) * v(x) + u(x) * v'(x)
f'(x) = [8(2x^4 - 2)^7 * (8x^3)] * (-3x^3 + 8)^14 + (2x^4 - 2)^8 * [14(-3x^3 + 8)^13 * (-9x^2)]
So, f'(x) is the derivative of the given function.

To find the derivative of f(x), we will use the chain rule and product rule.

f(x) = (2 . x^4 – 2)^8 . (-3.x^3 +8)^14

f'(x) = [8(2 . x^4 – 2)^7 . 8x^3] . (-3.x^3 +8)^14 + [14(-3.x^3 +8)^13 . (-3x^2)(2 . x^4 – 2)^8]

Simplifying this expression, we get:

f'(x) = 16x^3(2 . x^4 – 2)^7(-3.x^3 +8)^14 + 14(-3x^2)(2 . x^4 – 2)^8(-3.x^3 +8)^13

Therefore, the derivative of f(x) is f'(x) = 16x^3(2 . x^4 – 2)^7(-3.x^3 +8)^14 + 14(-3x^2)(2 . x^4 – 2)^8(-3.x^3 +8)^13.
Hello! To find the derivative f'(x) of the given function f(x) = (2x^4 - 2)^8 * (-3x^3 + 8)^14, we will use the product rule and chain rule.

Product rule: (u * v)' = u' * v + u * v'
Chain rule: (g(h(x)))' = g'(h(x)) * h'(x)

Let u(x) = (2x^4 - 2)^8 and v(x) = (-3x^3 + 8)^14.

First, find the derivatives of u(x) and v(x) using the chain rule:
u'(x) = 8(2x^4 - 2)^7 * (8x^3)
v'(x) = 14(-3x^3 + 8)^13 * (-9x^2)

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Sammy originally took out approximately $5357.14 to fund his education.

The rate of interest, also known as the interest rate, is the percentage amount charged by a lender or financial institution for the use of borrowed money or for the extension of credit. It is the cost of borrowing money, typically expressed as an annual percentage of the amount borrowed or owed.

Let X be the amount Sammy took out originally to fund his education.

After 5 years, the amount he has to pay back is X + (0.08X5) = X + 0.4X = 1.4X.

We know that 1.4X = $7500, so we can solve for X:

1.4X = $7500

X = $7500 / 1.4

X ≈ $5357.14

Therefore, Sammy originally took out approximately $5357.14 to fund his education.

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When there qre 240scoops and that there are 12 gumdrops per scoop, the number of gumdrop is 20 per scoop.

From the information, it was stated that there are 240scoops and that there are 12 gumdrops per scoop.

Therefore, the number in each scoop will be

= Total scoops /Number of gumdrop

= 240 / 13

= 20

Therefore, there are 20 gumdrops.

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There are 240scoops. If there are 12 gumdrops per scoop how much is each scoop