13/16 - 1/4.¿ using 5th grade work

multiplications

mark me brainliesttt :))

Answer:

Linear Function

Step-by-step explanation:

there are an infinite number of ordered pairs of x and y that satisfy the equation.

Answer:

I'm not 100% positive, but I think it's 30

Based on the set of transformations for trapezoid ABCD, the location of point A after the transformations are complete is: D. (−5, 1).

In Geometry, the rotation of a point 180° about the origin in a clockwise or counterclockwise direction would produce a point that has the coordinates (-x, -y).

By applying a rotation of 180° to the given point, the coordinates of its image is given by:

(x, y)                           →               (-x, -y)

Points A = (-5, 1)        →     Points A' = (-(-5), -(1)) = (5, -1).

Next, we would reflect the given point over the x-axis as follows;

(x, y)                           →              (x, -y)

Points A' = (5, -1)        →     Points A' = (5, -(-1)) = (5, 1)

Lastly, we would reflect the given point over the y-axis as follows;

(x, y)                           →              (-x, y)

Points A' = (5, 1)        →     Points A' = (-(5), 1) = (-5, 1)

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Answer:

The standard form of the equation of a circle with center at (h, k) and radius r is:

(x - h)^2 + (y - k)^2 = r^2

We are given that the center of the circle is (4, -1), so h = 4 and k = -1. We also know that the circle passes through the point (-4, 1), which means that the distance from the center of the circle to (-4, 1) is the radius of the circle.

The distance between two points (x1, y1) and (x2, y2) is given by the distance formula:

d = sqrt((x2 - x1)^2 + (y2 - y1)^2)

So the radius of the circle is:

r = sqrt((-4 - 4)^2 + (1 - (-1))^2) = sqrt(100) = 10

Now we can substitute the values of h, k, and r into the standard form equation of a circle:

(x - 4)^2 + (y + 1)^2 = 10^2

Expanding the equation gives:

x^2 - 8x + 16 + y^2 + 2y + 1 = 100

Simplifying and putting the equation in standard form, we get:

x^2 + y^2 - 8x + 2y - 83 = 0

Therefore, the equation in standard form of the circle with center at (4, −1) and that passes through the point (−4, 1) is:

x^2 + y^2 - 8x + 2y - 83 = 0

Answer:

a

Step-by-step explanation:

edge 2021

Answer:

A: Subtract the area of the 5 yd by 3 and two-thirds yd rectangle from the area of the 6 yd by 7 One-fourth yd rectangle.

Step-by-step explanation:

Just did the test on edge

The given problem can be exemplified in the following diagram:

The trajectory of the boat can be divided into two distinct right triangles, as shown in the figure. The difference between each of the sides of the right triangle form another right triangle that will allow us to determine the total distance using the Pythagorean theorem.

Solving the operation:

Now using the sine function:

Solving the operations:

This can be exemplified in the following diagram:

Using the Pythagorean theorem:

Replacing the values:

Solving the operations:

Taking square root to both sides:

Therefore, the total distance is 313 miles.

2 cups you need to fill the jug to 4.

The ratio can be defined as the number that can be used to represent one quantity as a percentage of another. Only when the two numbers in a ratio have the same unit can they be compared. Ratios are used to compare two objects.

It depends on the size and markings of the jug.

If we assume that the jug is divided into equal intervals and each interval represents an equal volume,

then we can say that filling the jug to the second interval means that the jug is 1/2 full.

To fill the jug to the fourth interval, we need to fill the remaining 2 intervals, which means we need to add another 2 cups of liquid.

So, the answer is 2 cups.

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The two integers are equal to 1 and 7 respectively.

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Let x represent the smaller number. Then the given relationships say ...

1/x + 2/(x+6) = 9/7

Multiplying by 7x(x+6), we have ...

7(x+6) +14x = 9x(x+6)

9x² +54x = 21x +42 . . . . .eliminate parentheses, swap sides

9x² +33x = 42 . . . . . . . . ...subtract 21x

3x² +11 -14 = 0 . . . . . . . . . .subtract 42 and divide by 3

(3x +14)(x -1) = 0 . . . . . . . . factor

Values of x that make this true are x = 1 and x = -14/3. Then for the positive integer x=1, the other integer is x+6=7.

Therefore, the two integers are equal to 1 and 7 respectively.

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Answer: -3

Step-by-step explanation:

The table of integrals can be a useful tool for simplifying the integration process, but it's important to have a solid understanding of calculus concepts in order to use it effectively.

The table of integrals is a tool used in calculus to simplify the process of finding antiderivatives. It lists various functions and their corresponding antiderivatives, or integrals.

To use the table of integrals, you first need to identify the function you are trying to integrate. Then, find a similar function in the table and use the corresponding antiderivative to solve your integral.

It's important to note that not all functions have a corresponding antiderivative listed in the table, and in those cases, other integration techniques must be used.

Additionally, it's always a good idea to double check your work and make sure the answer makes sense in the context of the original problem.

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If we use the table of integrals, the solution would be In | tan(x+7) + sec(x+7)|+C. Option A

Using the table of integral, we say

∫ (1/cos(x +7)) dx ⇒ ∫sec (x+7) dx

u = x+7   ⇒ du = dx

= ∫sec (u) du

Expand the fraction by tan (u) + sec (u)

= ∫(sec(u) (tan(u) + sec (u))/ tan (u) + sec (u)

= ∫((sec(u) tan(u) + sec²(u))/ (tan (u) + sec (u))) du

Substitute v= tan(u) + sec (u) ⇒ dv = (sec(u) tan(u) + sec²(u))du

= ∫(i/v)dv

= In(v)

Undo substitution v = tan(u) + sec(u)

=In(tan(u) + sec(u))

= In(tan(x+7) + sec(x +7))

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Answer:

∠ W = 53°

Step-by-step explanation:

the measure of the secant- secant angle W is half the difference of the measures of the intercepted arcs , that is

∠ W = \(\frac{1}{2}\) (YC - GT) = \(\frac{1}{2}\) (160 - 54)° = \(\frac{1}{2}\) × 106° = 53°

The probability of selecting a girl and a boy for the class committee can be calculated by considering the total number of outcomes and the number of favorable outcomes.

Identify the number of girls and boys in the class. In this case, there are 5 girls and 7 boys.

Determine the total number of students in the class. That is 5 + 7 = 12.

Determine the number of ways to select two students from the class.

Here we can use the combination formula, which is written as C(n, r), where n is the total number of items and r is the number of items to be chosen.

In our case, n = 12 (total number of students) and r = 2 (number of students to be selected).

C(12, 2) = 12! / (2!(12-2)!) = 66.

Determine the number of favorable outcomes.

In this case, we want to select one girl and one boy. We multiply the number of girls by the number of boys: 5 x 7 = 35.

To find the probability, we divide the number of favorable outcomes (35) by the total number of outcomes (66):

Probability = Number of favorable outcomes / Total number of outcomes = 35 / 66 = 5/6.

So, the probability of selecting a girl and a boy for the class committee is 5/6.

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Answer:

A. 28/253

B. 60/253

Step-by-step explanation

A. first step is to add all the grapes up which = 23

then you would put the

green grapes/ the total which would be 8/23

since henry ate one grape you would subtract 8-1 and then 23-1 and you would get 7 and 22

then you would put 7/22 and multiply 8/23 which gets you 28/253

B. first you put red grapes over total grapes which are 15/23

then,

you would do the green grapes which are 8/22

you would multiply 15/23 and 8/22 which = 60/253

Answer:

Minimum: $25,200

Maximum: $44,800

Step-by-step explanation:

When the distribution is normal, we use the z-score formula.

In a set with mean \(\mu\) and standard deviation \(\sigma\), the zscore of a measure X is given by:

\(Z = \frac{X - \mu}{\sigma}\)

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this question:

\(\mu = 35000, \sigma = 5000\)

What are the minimum and the maximum starting salaries of the middle 95% of the graduates

Minimum: 50 - (95/2) = 2.5th percentile.

Maximum: 50 + (95/2) = 97.5th percentile

2.5th percentile:

X when Z has a pvalue of 0.025. So X when Z = -1.96.

\(Z = \frac{X - \mu}{\sigma}\)

\(-1.96 = \frac{X - 35000}{5000}\)

\(X - 35000 = -1.96*5000\)

\(X = 25200\)

The minimum is $25,200

97.5th percentile:

X when Z has a pvalue of 0.975. So X when Z = 1.96.

\(Z = \frac{X - \mu}{\sigma}\)

\(1.96 = \frac{X - 35000}{5000}\)

\(X - 35000 = 1.96*5000\)

\(X = 44800\)

The maximum is $44,800

Answer:

X ≥ 4

Step-by-step explanation:

X ≥ 4

Because the circle on top of the 4 is filled in, that means 'or equal to' in terms of inequalities. Therefore, our answer will include either '≤' or '≥'. If the circle wasn't filled in, we'd be using '<' or '>', as these would mean not including the number.

As the arrow on the graph is facing towards the right, that means X is going to be all the numbers greater than 4.

That means we can conclude that 4 is less than or equal to X: 4 ≤ X.

Or, that X is greater than or equal to 4: X ≥ 4.

The exponential function that can model the county population, y, x decades after Tiana was born, is:

\(y = 641000(0.99)^x\)

The population will fall below 600,000 in 6.6 decades after Tiana was born.

The definition of the exponential function is presented as follows:

\(y = a(b)^x\)

In which the parameters of the exponential function are presented as follows:

In the context of this problem, the values of these parameters are given as follows:

Hence the function is:

\(y = 641000(0.99)^x\)

The population will fall below 600,000 when y = 600000, hence:

\(y = 641000(0.99)^x\)

\(600000 = 641000(0.99)^x\)

\((0.99)^x = \frac{600000}{641000}\)

\(\log{(0.99)^x} = \log{\left(\frac{600000}{641000}\right)}\)

\(x\log{0.99} = \log{\left(\frac{600000}{641000}\right)}\)

\(x = \frac{\log{\left(\frac{600000}{641000}\right)}}{\log{0.99}}\)

x = 6.6 decades.

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Answer:

The answer is below

Step-by-step explanation:

The z score is a score used to determine the number of standard deviations by which the raw score is above or below the mean, it is given by the equation:

\(z=\frac{x-\mu}{\sigma} \\\\\mu=mean, \sigma=standard\ deviation,x=raw\ score\\\\for\ a\ sample\ n:\\\\z=\frac{x-\mu}{\sigma/\sqrt{n} }\)

Given that μ = 650, σ = 50. To find the probability that 5 students who have a mean of 490, we use:

\(z=\frac{x-\mu}{\sigma/\sqrt{n} } =\frac{490-650}{50/\sqrt{5} } =-7.16\)

From the normal distribution table, P(x < 490) = P(Z < -7.16) = 0.0001 = 0.01%

Since only a small percentage of people score about 490, hence the local newspaper editor should write a scathing editorial about favoritism

Answer:

27 calories per ounce

Step-by-step explanation:

just divide 135 by 5

Answer:

if it is reflected on the y axis, it will be moved to quadrant 2(top left). if it reflects over the x axis, it will move to quadrant 4(bottom right).

Answer:

D.

Step-by-step explanation:

To tell whether the domains can include 0, all you need to do is find where x = 0, and whether the y-value is real.

h(x) = sqrt(2x^2 + 5x - 3)

= sqrt(0^2 + 5 * 0 - 3)

= sqrt(-3)

Since this includes the square root of a negative number, h(0) is an imaginary number. That means that we can eliminate choices A and B.

If you look at the graph of w(x), when x = 0, there is a real value for the y-value on the graph. But, if you think about it, if you have 0 workers, there is no way that you can still be producing wrenches. So, the domain cannot contain 0.

Your answer will be D.

Hope this helps!!

The entire house is 24 1/3 feet tall and attic is 7 feet tall.

Mathematical operations like subtraction exist. It is employed to delete words or objects from the phrase.

Given:

Maddy's house has two stories and an attic.

The first floor is 8 5/6 feet tall.

The second floor is 8 1/2 feet tall.

The entire house is 24 1/3 feet tall.

So, the height of the attic,

= height of the entire house - ( height of the first floor + height of the second floor)

= 24 1/3 - (8 5/6 + 8 1/2)

In order to simplify the equation,

converting mixed fraction to improper fraction,

we get,

= 73/3 - 53/6 - 17/2

= 42/6

= 7 feet.

Therefore, the height of the attic is 7 feet.

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Answer:

\(v=\frac{80}{3}\pi \frac{m}{min}\)

Step-by-step explanation:

In order to start solving this problem, we can begin by drawing a diagram of what the problem looks like (see attached picture).

From that diagram, we can see that we have a triangle we can analyze. We'll call the angle between the vertical line and the slant line \(\theta\). And we'll call the distance between W and the point we are interested in l.

Now, there are different things we need to calculate before working on the triangle. For example, we can start by calculating the angle \(\theta\).

From the diagram, we can see that:

\(tan \theta = \frac{l}{3}\)

when solving for \(\theta\) we will get:

\(\theta = tan^{-1} (\frac{l}{3})\)

we could use our calculator to figure this out, but for us to get an exact answer in the end, we will leave it like that.

Next, we can calculate the angular velocity of the beam. (This is how fast the beam is rotating).

We can use the following formula:

\(\omega = \frac{2\pi}{T}\)

where T is the period of the rotation. This is how long it takes the beam to rotate once. So the angular velocity will be:

\(\omega = \frac{2\pi}{3} \frac{rad}{s}\)

Next, we can take the relation we previously got and solve for l, so we get:

\(tan \theta = \frac{l}{3}\)

\(l = 3 tan \theta\)

Now we can take its derivative, so we get:

\(dl = 3 sec^{2} \theta d\theta\)

and we can divide both sides of the equation into dt so we get:

\(\frac{dl}{dt} = 3 sec^{2} \theta \frac{d\theta}{dt}\)

in this case \(\frac{dl}{dt}\) represents the velocity of the beam on the wall and \(\frac{d\theta}{dt}\) represents the angular velocity of the beam, so we get:

\(\frac{dl}{dt} = 3 sec^{2} (tan^{-1} (\frac{l}{3})) (\frac{2\pi}{15})\)

we can simplify this so we get:

\(\frac{dl}{dt} = (\frac{2\pi}{5})sec^{2} (tan^{-1} (\frac{l}{3}))\)

we can use the Pythagorean identities to rewrite the problem like this:

\(\frac{dl}{dt} = (\frac{2\pi}{5})(1+tan^{2} (tan^{-1} (\frac{l}{3})))\)

and simplify the tan with the \(tan^{-1}\) so we get:

\(\frac{dl}{dt} = (\frac{2\pi}{5})(1+(\frac{l}{3})^{2})\)

which simplifies to:

\(\frac{dl}{dt} = (\frac{2\pi}{5})(1+(\frac{l^{2}}{9}))\)

In this case, since l=1, we can substitute it so we get:

\(\frac{dl}{dt} = (\frac{2\pi}{5})(1+(\frac{1}{9}))\)

and solve the expression:

\(\frac{dl}{dt} = (\frac{2\pi}{5})(\frac{10}{9})\)

\(\frac{dl}{dt} = \frac{20}{45}\pi\)

\(\frac{dl}{dt} = \frac{4}{9}\pi \frac{m}{s}\)

now, the problem wants us to write our answer in meters per minute, so we need to do the conversion:

\( \frac{dl}{dt} = \frac{4}{9}\pi \frac{m}{s} * \frac{60s}{1min} \)

\(velocity = \frac{80}{3} \pi \frac{m}{min}\)

The resulting value of the division of x²+x-4 by (x+3),

Quotient = x - 2

Remainder = 2

Division:

The process of division means the process of breaking a number up into equal parts, and finding out how many equal parts can be made.

Given,

Here we have the expression x²+x-4.

Now, we need to divide by the expression (x + 3).

Here we have to use the long division method in order to solve it.

The following steps are followed to solve this:

1. Divide the first term of the dividend by the first term of the divisor

2. Write down the calculated result x in the upper part of the table.

3. Multiply it by the divisor

4. Subtract this result from the dividend

This steps is repeated until no further division.

Thus process will be showed on the attached figure.

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(4/5)/8 is also equal to 4/5*1/8 or 4/40 or 1/10

Answer:

the one above is right

Step-by-step explanation:

Answer: the thermometer is precise, but not accurate. :)

Step-by-step explanation:

I just took the test on Apex and got it right, but to explain this answer:

the more places past the decimal a number has, the more precise it is. :)

31.08°F is precise because it’s got two places past the decimal but isn’t accurate because it’s not super close to 32.6°F :)

i hope that helped! and remember apex sucks:)

The thermometer is precise, but not accurate.

The degree of closeness of measurements of a quantity to its real value is the accuracy of a measuring system.

The degree to which repeated measurements under the same conditions produce the same findings is the precision of a measuring system, which is linked to reproducibility and repeatability.

If there is a systematic mistake in an experiment, increasing the sample size often improves precision but not accuracy.

Since the temperature of 32.6 °F is shown 31.08 °F which means the true value of the temperature is not shown. That means the value is not accurate.

But the value is calculated for the hundredth place which means the value is precise.

Hence, option C) is correct. That means the thermometer is precise but not accurate.

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The calculated value of the rate of the graph is 0.8

from the question, we have the following parameters that can be used in our computation:

The graph

Where, we have

(0, -16) and (20, 0)

The rate of the graph is calculated as

Rate = Change in y/x

using the above as a guide, we have the following:

Rate = (0 + 16)/(20 - 0)

Evaluate

Rate = 0.8

Hence, the rate is 0.8

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The remaining portion of the sheet from the overall length is 10.16 units.

In mathematics, a fraction is used to denote a portion or component of the whole. It stands for the proportionate pieces of the whole. Numerator and denominator are the two components that make up a fraction. The numerator is the number at the top, and the denominator is the number at the bottom. The denominator specifies the total number of equal parts in the whole, whereas the numerator specifies the number of equal parts that were taken.

Given that the overall length of the sheet is 18 5/ 8 = 149 / 8.

The two pieces removed are:

8 1/2 =17/ 2 and

7 9/16 = 121 / 16 inches.

The sawcut removed 1/16.

For two pieces we have two saw cuts thus, 2(1/16) = 1/8 inches.

The remaining portion is:

R = 149 / 8 - 17/2 - 121/6 - 1/8

R = 447 - 204 - 484 - 3 / 24

R = 10.16

Hence, the remaining portion of the sheet is 10.16 units.

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