Warren’s tape measure is marked in increments of 1/16 inch, not in decimal numbers. To measure the tiles, he needs to know the side lengths to the nearest 1/16 inch. In this activity, you will convert decimal values to fractional values and then calculate the area of the tiles. The length of tile A is about 2.23607 inches. Which mark on the tape measure is closest to 2.23607 inches? Remember, the tape measure is marked in sixteenths of an inch.

Answer:

The solution I got is (4,2)

Step-by-step explanation:

When I plotted the equations on a graph, they intercepted at (4,2).

The values of Z such that e² = 2 + i√3 are Z = ln(2 + i√3) + 2πik, where k is an integer.

To find the values of Z, we can start by expressing 2 + i√3 in polar form. Let's denote it as re^(iθ), where r is the modulus and θ is the argument.

Given: 2 + i√3

To find r, we can use the modulus formula:

r = sqrt(a^2 + b^2)

= sqrt(2^2 + (√3)^2)

= sqrt(4 + 3)

= sqrt(7)

To find θ, we can use the argument formula:

θ = arctan(b/a)

= arctan(√3/2)

= π/3

So, we can express 2 + i√3 as sqrt(7)e^(iπ/3).

Now, we can find the values of Z by taking the natural logarithm (ln) of sqrt(7)e^(iπ/3) and adding 2πik, where k is an integer. This is due to the periodicity of the logarithmic function.

ln(sqrt(7)e^(iπ/3)) = ln(sqrt(7)) + i(π/3) + 2πik

Therefore, the values of Z are:

Z = ln(2 + i√3) + 2πik, where k is an integer.

The values of Z such that e² = 2 + i√3 are Z = ln(2 + i√3) + 2πik, where k is an integer.

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Answer:

x=-14 and x = 2 or C

Step-by-step explanation:

hope this helps! please mark brainliest!!!

Answer:

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

Each coordinate of the midpoint is the average of endpoints:

Therefore M is (13, 14).

Answer:

i have the same question brainly peeps help out

Step-by-step explanation:

The ratio of the volumes of the two similar pyramids with edges of ratio 5:7 is 125:343.

The volumes of two similar pyramids can be found using the ratio of their corresponding edge length.

Let's assume that the ratio of the edge length of the two similar pyramids is 5:7. This means that the base edge of the larger pyramid is 7x, and the base edge of the smaller pyramid is 5x.

The ratio of their corresponding volumes is equal to the cube of the ratio of their edges. This means that the volume of the larger pyramid is \((7x)^3\) and the volume of the smaller pyramid is (5x)^3.

So, the ratio of their volumes is:

The Volume ratio is: \((7x)^3 / (5x)^3 = (343/125) \times x^3 = 2.744 \times x^3\)

This means that the larger pyramid has a volume 2.744 times larger than the smaller pyramid.

In general, for two similar pyramids with corresponding edges of ratio a:b, the ratio of their volumes is (\(a^3 : b^3\)).

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Answer:

Step-by-step explanation:

The parenthesis can cancel because the lack of anything you can do in them, so that will leave you with 7m + 3 + 7m + 6

Next step is to add like numbers, you should start by adding 7m + 7m, which would be 14m.

Next would be to add 3 + 6, which is nine.

To end this equation, simply put 14m + 9

There is no one-number answer because we do not know what m is. So the equation 14m + 9 is the final answer.

The ladder touches the wall at a height of approximately 9.2 feet above the ground.

We can use the Pythagorean theorem to solve this problem. The theorem states that in a right triangle, the square of the length of the hypotenuse (the longest side, which is the ladder in this case) is equal to the sum of the squares of the lengths of the other two sides (the distance from the wall and the height of the ladder on the wall).

Let's call the distance from the wall "x" and the height of the ladder on the wall "h". Then we have:

\(x^2 + h^2 = 14^2\)

We also know that the bottom of the ladder is placed 3 feet from the wall, so we have:

x + 3 = 14

Solving for x, we get:

x = 11

Substituting this value into the first equation, we get:

\(11^2 + h^2 = 14^2\)

Simplifying and solving for h, we get:

\(h = \sqrt{(14^2 - 11^2)}\)

h ≈ 9.2

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The drying process for the 24 in. square filter cake supported on a screen using air at a wet-bulb temperature of 80°F (26.7°C) and a dry-bulb temperature of 120°F (48.9°C) will result in the evaporation of moisture from the filter cake, thereby drying it.

To determine the amount of moisture evaporated, we need to consider the difference between the wet-bulb and dry-bulb temperatures. This difference is known as the "dry-bulb depression" and indicates the potential for evaporation. In this case, the dry-bulb depression is 120°F - 80°F = 40°F (or 48.9°C - 26.7°C = 22.2°C).

The drying process occurs through convective heat and mass transfer. Assuming steady-state conditions and neglecting heat losses to the surroundings, we can use the following equation:

m_dot = A * (h_w - h_da) / (h_wg - h_da)

Where:

m_dot is the mass flow rate of evaporated moisture

A is the surface area of the filter cake (24 in. * 24 in. = 576 in²)

h_w is the specific enthalpy of the air at the wet-bulb temperature

h_da is the specific enthalpy of the air at the dry-bulb temperature

h_wg is the specific enthalpy of the air at the dew point temperature (at which the air becomes saturated)

By calculating the mass flow rate of evaporated moisture, we can determine the drying capacity of the air and how long it will take to completely dry the filter cake. The given information provides the necessary parameters for the calculation, allowing for a precise determination of the drying process's effectiveness.

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Answer:

6 feet

Step-by-step explanation:

1/2 times 4 1/4

change to improper fractions

(3/2)*(17/4)

(3*17)/(2*4)=51/8=6 3/8 feet tall

3/8 of 12 inches is (3/8)*12=36/8=4 4/8=4.5 inches

Jebb is 6 feet 4.5 inches tall

Standard form

\(\\ \rm\rightarrowtail y=-4(x+5)^2+4\)

\(\\ \rm\rightarrowtail y=-4(x^2+10x+25)+4\)

\(\\ \rm\rightarrowtail y=-4x^2-40x-100+4\)

\(\\ \rm\rightarrowtail y=-4x^2-40x-96\)

Answer:

\(y=-4x^2-40x-96\)

Step-by-step explanation:

Standard form of a quadratic function:  \(y=ax^2+bx+c\)

Given function:

\(y=-4(x+5)^2+4\)

Apply Perfect Square formula \((a+b)^2=a^2+2ab+b^2\) to \((x+5)^2\)

\(\implies y=-4(x^2+10x+25)+4\)

Expand brackets:

\(\implies y=-4x^2-40x-100+4\)

Simplify:

\(\implies y=-4x^2-40x-96\)

The probability that a particular phone call will take more than 7 minutes is 0.0813 or 8.13%.

To find the probability that a phone call will take more than 7 minutes.

We need to calculate the integral of the probability density function (PDF) from 7 to infinity.

Given the probability density function (PDF) of the random variable X:

\(f(x) = 0.25e^(^-^0^.^2^5^x^)\) for x > 0

We can integrate this function from 7 to infinity to find the desired probability:

P(X > 7) = ∫[7, ∞] f(x) dx

Performing the integration:

\(P(X > 7)=\int\limits^\infty_7 {0.25e^-^0^.^2^5^x} \, dx\)

\(P(X > 7) = [-4 \times e^(^-^0^.^2^5^x^)]\) evaluated from 7 to ∞

=\([-4\times0] - [-4 \times e^(^-^1^.^7^5^)]\)

=\(0 + 4e^(^-^1^.^7^5^)\)

= \(4e^(^-^1^.^7^5^)\)

=0.0813

Therefore, the probability that a particular phone call will take more than 7 minutes is approximately 0.0813 or 8.13%.

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Answer:

y=32

Step-by-step explanation:

y=3(8)+8

y=24+8

24+8=32

y=32

Answer:

32

Step-by-step explanation:

you sub in 8 for x and solve

3(8) + 8

24+8= 32

The federal government’s budgeted revenue and expenditures from 2001 through 2010 are shown below:

Revenue Expenditures Surplus/Deficit

2001 $1,991.1 billion $1,862.8 billion Surplus

2002 $1,853.1 billion $2,011.9 billion Deficit

2003 $1,782.3 billion $2,159.9 billion Deficit

2004 $1,880.1 billion $2,292.8 billion Deficit

2005 $2,153.6 billion $2,472.0 billion Deficit

2006 $2,406.9 billion $2,655.1 billion Deficit

2007 $2,567.0 billion $2,728.7 billion Deficit

2008 $2,523.1 billion $2,982.5 billion Deficit

2009 $2,105.0 billion $3,517.7 billion Deficit

2010 $2,162.7 billion $3,456.2 billion Deficit

From the given table, it can be seen that the years in which there was a budget deficit are as follows: 2002, 2003, 2004, 2005, 2006, 2007, 2008, 2009 and 2010.

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If f(x, y, z) = xyzi + yj + zk, the divergence of the curl of the vector field f is zero.

To find the divergence of the curl of the vector field f(x,y,z) = xyzi + yj + zk, we first need to compute the curl of f, which is given by:

curl f = (∇ × f) = ∂(zk)/∂y - ∂(yj)/∂z + (∂(yj)/∂x - ∂(xyzi)/∂y)k + (∂(xyzi)/∂z - ∂(zk)/∂x)j + (∂(zk)/∂x - ∂(yj)/∂y) i

Simplifying this expression, we get:

curl f = (-z)i + xj + yk

Next, we need to find the divergence of the curl of f, which is given by:

div(curl f) = ∇ · (∇ × f) = ∂(∂(zk)/∂y - ∂(yj)/∂z)/∂x + ∂(∂(yj)/∂x - ∂(xyzi)/∂y)/∂y + ∂(∂(xyzi)/∂z - ∂(zk)/∂x)/∂z

Substituting the values from the curl f expression, we get:

div(curl f) = ∂(-z)/∂x + ∂(x)/∂y + ∂(y)/∂z

Simplifying this expression, we get:

div(curl f) = 0

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Using proportions, the total acceleration you would have applied to the car would be of -33 m/s².

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

For one crash, the acceleration is of -3 m/s². Hence, for 11 crashes, the total acceleration would be of:

a = -3 x 11 = -33 m/s².

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Therefore the solution to this question of 2 pulleys is )16 rpm

b)360 rad/min  c)39.6 rad/min d) 7200cm/min

A pseudovector used in physics to express how quickly an object's angular position or orientation changes over time is called an angular velocity, rotational velocity, or angular frequency vector.

For the smaller pulley, it does 48 rpm (revolutions per minute) each revolution is 360 degrees. This indicates that the pulley completes one revolution every second .

radians / π = degrees / 180  

radians = πx 360 / 180 = 2 π radians per second

The distance covered by both pulleys is equivalent for the larger pulley.

then d1 = d2

every second, small pulley covers a distance of 40π (small pulley circumference) = d1

d2 = 40π = 120π (large pulley circumference) x factor (f)

f = 1/3

a) the revolutions per min by larger pulley=16 rpm

b) the speed of smaller pulley = 3*2π=6π=6rad/sec=360rad/min

c) then speed of the large pulley = 1/3 * 2π = 2/3 π = 0.66 rad/sec=39.6rad/min

d)the speed of smaller pulley=7200 cm/min

Therefore the solution to this question of 2 pulleys is )16 rpm

b)360 rad/min  c)39.6 rad/min d) 7200cm/min

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Answer:

The linear equation is y = 450 - 30 x, where y is the number of pages

Lourdes has left to read after x days

Step-by-step explanation:

Each day, Lourdes reads 30 pages of a 450-page book

- We need to write a linear equation to represent the number of pages

 Lourdes has left to read after x days

∵ Lourdes reads 30 pages each day

∵ Lourdes will read for x days

∴ The number of pages Lourdes will read in x day = 30 x

- The left pages will be the difference between the total pages of the

 book and the pages Lourdes read

∵ The book has 450 pages

∵ Loured will read 30 x in x days

∴ The number of pages left = 450 - 30 x

- Assume that y represents the number of pages Lourdes has left

 to read after x days

∴ y = 450 - 30 x

The linear equation is y = 450 - 30 x, where y is the number of

pages Lourdes has left to read after x days

Answer:

radius = 14cm

Step-by-step explanation:

circumference

\( = 2 \: \pi \: r\)

88 = 2 × 22/7 × r

88 = 44/7 × r

7 × 88 = 7 × 44r/7

616 = 44r

616/44 = 44r/44

14 = r.

therefore the radius is = 14cm

The radius of the circle with a diameter of 88m is  14m.

The circumference of a circle is the distance around the circle which is 2πr.

The diameter of a circle is the largest chord that passes through the center of a circle it is 2r.

Given, The circumference of a circular pond is 88m.

We know the circumference of a circle is 2πr.

So, We can equate the general formula with the given circumference.

Therefore, 2πr = 88.

πr = 88/2.

πr = 44.

r = 44/π.

r = 44/3.14.

r = 14m.

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Given:

given

Find;

we have to find the values of g(x) at given points of x

The expression for the phrase is 5 * (x - 6) = 24

The phrase is given as:

the product of 5 minus 6 has a result of 24

Products means *

So, we have

5 * (x minus 6) has a result of 24

x minus 6 means x - 6

So, we have

5 * (x - 6) has a result of 24

has a result of 24 means = 24

So, we have

5 * (x - 6) = 24

Hence, the expression for the phrase is 5 * (x - 6) = 24

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According to the speed formula, the runner's average rate of change from 60 to 120 minutes is approximately: 5.58 / 60 = 0.093 miles per minute

What is speed?

Speed is defined as the distance travelled by an object in a given amount of time. Speed is a scalar quantity, meaning that it has magnitude but no direction.

Mathematically, speed is calculated as follows:

speed = distance / time

where "distance" is the distance travelled by the object, and "time" is the time it takes for the object to travel that distance.

The average rate of change of a function over an interval is the slope of the secant line between the endpoints of the interval.

In this case, we want to find the average rate of change of the distance function from 60 to 120 minutes. The distance function is given by the table as:

Time (min) Distance (miles)

0       0

30     3.48

60     6.42

90     9.18

120   12.0

To find the average rate of change from 60 to 120 minutes, we need to calculate the slope of the secant line passing through the points (60, 6.42) and (120, 12.0).

The slope of the secant line is given by:

slope = (change in y) / (change in x) = (12.0 - 6.42) / (120 - 60) = 5.58 / 60

Therefore, the runner's average rate of change from 60 to 120 minutes is approximately: 5.58 / 60 = 0.093 miles per minute

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Answer:

348

Step-by-step explanation:

in every 87 calories there is 3/4(1.44)cup

? there is in 3 cup

87 × 3=261 ×4/3 =348

Answer:

21 * 2 = 42

21 + 2 = 23

Step-by-step explanation:

well I know that 6 * 7 = 42 so I’m assuming that’s correct

Then 11 + 12 = 23 it could be the answer I’m not positive for this one though.

The first one should be correct.

Maybe try

21 * 2 = 42

21 + 2 = 23

Russ Krieger, Don Hicks, Pamela Drake, and Stephanie Braun are the four friends who received sports scholarships. Krieger has a full ride as a star in two different sports.

Based on the given clues, we can deduce the full names of the four friends who received sports scholarships.

From clue 1, we know that Hicks and Russ play on the same men's volleyball team. Therefore, one of the friends must be Don Hicks.

From clue 2, we learn that Drake and Braun have both set women's records in swimming. Therefore, one of the friends must be Stephanie Braun.

From clue 3, it is stated that Stephanie and Drake went to the same high school. Combining this information with clue 2, we can conclude that Pamela Drake is the full name of one of the friends.

Lastly, we know that Krieger has a full ride because he is a star in two different sports. Since the other three friends have been assigned their full names, it follows that Russ Krieger is the remaining friend.

In summary, the four friends who received sports scholarships and their full names are: Russ Krieger, Don Hicks, Pamela Drake, and Stephanie Braun.

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The full names of the friends based on the provided clues are Russ Hicks, Pamela Drake, Stephanie Braun, and Don Krieger.

The question involves a puzzle which requires using deduction and logical thinking skills to solve, typically found in mathematics problems.

Based on the clues provided:

Thus, the full names of the friends are Russ Hicks, Pamela Drake, Stephanie Braun, and Don Krieger.

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The value of the error for Z, where x = 5.9 +/- 0.5 and y = 2.1 +/- 0.2, with one decimal place is 4.

To calculate the error in Z, we need to consider the uncertainties in both x and y. The error in Z can be determined by propagating the uncertainties using the formula for error propagation.

In this case, Z is given by the equation Z = x/y. To propagate the uncertainties, we use the formula for relative error:

ΔZ/Z = sqrt((Δx/x)^2 + (Δy/y)^2)

Given the uncertainties Δx = 0.5 and Δy = 0.2, and the values x = 5.9 and y = 2.1, we substitute these values into the formula:

ΔZ/Z = sqrt((0.5/5.9)^2 + (0.2/2.1)^2) = sqrt(0.0089 + 0.0181) ≈ 0.134

Multiplying this value by 100 to convert it to a percentage, we get approximately 13.4%. Rounding to one decimal place, the value of the error is 4.

Therefore, the value of the error for Z, with one decimal place, is 4.

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