Determine the value(s) for which the rational expression 8q+8/99q^2−74q−40 is undefined. If there's more than one value, list them separated by a comma, e.g. q=2,3.

Answer: factorizar x de x ^ 2 + 5x.

x (x + 5)

Step-by-step explanation:

Answer:

75

Step-by-step explanation:

The sum of internal angles in a triangle is equal to 180

58 + 47 + x = 180

105 + x = 180 subtract 105 from both sides

x = 75

This is an acute triangle so each angle has to be less than 90 degrees in total we already have 105 and then lastly you can find out the last angle is kind of the same angle of angle 58 so its closer to 58 than 47 this is just a clue to the answer because I cant measure the angle from over the screen.

Step-by-step explanation:

I hope this answer is helpful ):

The value of the radical √48 is 4√3.

Radical is a symbol (√) that denotes square roots and nth roots. The number inside the symbol is called Radicand and the expression containing the radical or a square root is called a Radical expression.

Here, we are given the radical √48

To find the value of the radical, we will factorize 48

i.e., 48 = 2×2×2×2×3

           = 16×3

Now, the square root of 48, that is, √48

                                                       = \(\sqrt{16\cdot3}\) =\(\sqrt{16} \cdot \sqrt{3}\)

We know 16 is a perfect square of 4, that is, the square root of 16= 4

⇒√16=4

Using this, we have √48= 4√3

The correct answer is 4√3.

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Step-by-step explanation:

If we have some point (x,y), and we are trying to find a point that is symmetric to the x axis, then the point will take in form of (x,-y)

If symmetric to y axis, (-x,y)

If symmetric to origin (-x,-y)

So the first answer is

(7,4)

The second answer is

(-7,-4)

The third answer is

(-7,4)

A ship captain is mapping a trip and wants to know the distance the ship will travel over certain time intervals. time (hours)distance (miles). 0.5, 12.5. 1, 25. 1.5, 37.5. Assuming that the ship travels at a constant speed, what is its speed? ... You can see that every 30 minutes or 0.5 hours, the ship's distance ...

The sales tax on the item listed price of $45 is $3.15 .

To calculate sales tax, you must first convert the tax rate to a decimal value by dividing it by 100% , we get

 7/100=0.07

The total cost of the items is $45. To calculate sales tax, simply multiply this price by the previously calculated decimal number , we get

45 × 0.07 = $3.15

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Follow up on the attachment, ask for clarification if you don't get it

y=8cm

The quadratic functions are: f(x) = 0.03x² for Design A and g(x) = 0.024x² for Design B.

A quadratic function is a type of polynomial function of the form f(x) = ax² + bx + c, where a, b, and c are constants and x is the variable. In a quadratic function, the highest power of the variable is 2.

The graph of a quadratic function is a parabola, which is a U-shaped curve that opens either upwards or downwards depending on the sign of the coefficient a. If a > 0, the parabola opens upwards, and if a < 0, the parabola opens downwards. The vertex of the parabola, which is the point where the curve changes direction, is given by the coordinates (-b/2a, f(-b/2a)).

Quadratic functions have a wide range of applications in various fields such as physics, engineering, economics, and finance. For example, they can be used to model the motion of projectiles, the trajectory of a rocket, the shape of a bridge arch, the optimization of business profits, and the behavior of financial markets.

Let's assume that each side of the cube has a length of x inches. Then, the surface area of the cube is 6x² square inches.

a. For Design A with a cost of $0.005 per square inch, the total cardboard cost can be calculated using the quadratic function:

f(x) = 0.005(6x²) = 0.03x²

b. For Design B with a cost of $0.004 per square inch, the total cardboard cost can be calculated using the quadratic function:

g(x) = 0.004(6x²) = 0.024x²

Therefore, the quadratic functions are:

f(x) = 0.03x² for Design A

g(x) = 0.024x² for Design B

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The complete question is:

Answer:

12 square feet

Step-by-step explanation:

A=Area

b=Base

h=Height

To find the area of an triangle, you use the formula A=1/2bh

you plug in the the area and the height to get:

48=1/2xbx8

you do the maths and you get

b=12

1Answer:

12 sqft

Step-by-step explanation:

Answer:

10,000,000 cubic meters

For every 1 kilometer it is 1000 meters. Hence 10,000 times 1,000 equals 10,000,000.

The inverse equation to the one given in this exercise is:

\(y = 2(\sqrt{7 + x} + 1)\)

To find the inverse, we have to exchange x and y and then isolate y.

In this problem, the equation is:

2(x - 2)² = 8(7 + y).

Exchanging x and y:

2(y - 2)² = 8(7 + x)

Now we work to isolate y:

(y - 2)² = 4(7 + x).

To isolate y, we apply the square root to both sides, hence:

\(\sqrt{(y - 2)^2} = \sqrt{4(7 + x)}\)

\(y - 2 = 2\sqrt{7 + x}\)

\(y = 2\sqrt{7 + x} + 2\)

\(y = 2(\sqrt{7 + x} + 1)\)

Hence the inverse equation to the one given is:

\(y = 2(\sqrt{7 + x} + 1)\)

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Answer:

50.06

Step-by-step explanation:

he does have enough money!!!

Answer:

Yes, Jorge has $4.84 left.

Step-by-step explanation:

The video game is $66.75 and 25% off

66.75 - 16.6875 =

Video game cost $50.06

After buying the video game Jorge has $4.84 left

54.90 - 50.06 = 4.84

the probability is 1 whole number 1 over 2

Answer:

k = m(x) - f(x)

Step-by-step explanation:

m(x) = f(x) +k

m(x) - f(x) = k

Answer:

38.81 pounds

Step-by-step explanation:

Considering the definition of right rectangular prism and its volume,  the total weight of the contents is 38.81 pounds.

Right rectangular prism

A right rectangular prism (or cuboid) is a polyhedron whose surface is formed by two equal and parallel rectangles called bases and by four lateral faces that are also parallel rectangles and equal two to two.

Volume of right rectangular prism

To calculate the volume of the rectangular prism, it is necessary to find the product of its dimensions, or of the three edges that converge at a certain vertex.

That is, to calculate the volume of a rectangular prism, multiply its 3 dimensions: length×width×height.

Volume of the container

In this case, you know that:

the dimensions of the container built are 7.5 ft by 11.5 ft by 3 ft.

the container is entirely full and, on average, its contents weigh 0.15 pounds per cubic foot.

So, the volume of the container is calculated as:

7.5 ft× 11.5 ft× 3 ft= 258.75 ft³

Then, the total weight of the contents is calculated as:

258.75 ft³×  0.15 pounds per cubic foot= 38.8125 pounds≅ 38.81 pounds

Finally, the total weight of the contents is 38.81 pounds.

The domain of (s - t)(x) in interval notation is (-∞, -8) U (-8, 5) U (5, 8) U (8,

∞).

To find (s - t)(x), we subtract the function t(x) from s(x).

s(x) =\((x - 5)/(x^2 - 64)\)

t(x) = (x - 8)/(5 - x)

To subtract the functions, we need a common denominator. In this case, we can use (x^2 - 64) as the common denominator.

(s - t)(x) =\([(x - 5)/(x^2 - 64)] - [(x - 8)/(5 - x)]\)

To simplify the expression, we need to factor the denominators and simplify further:

\((x^2 - 64) = (x - 8)(x + 8)\)

(5 - x) = -(x - 5)

Substituting these into the expression, we get:

(s - t)(x) = [(x - 5)/(x - 8)(x + 8)] - [(x - 8)/-(x - 5)]

Next, we need to find a common denominator for the two fractions. The common denominator will be (x - 8)(x + 8)(x - 5).

(s - t)(x) = [(x - 5)(-(x - 5))/((x - 8)(x + 8)(x - 5))] - [(x - 8)(x + 8)/((x - 8)(x + 8)(x - 5))]

Simplifying further:

(s - t)(x) = \([-(x - 5)^2 - (x - 8)(x + 8)]/[(x - 8)(x + 8)(x - 5)]\)

The domain of the function (s - t)(x) is the set of values for which the denominator is non-zero, since division by zero is undefined.

The denominator (x - 8)(x + 8)(x - 5) will be non-zero as long as x is not equal to 8, -8, or 5.

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Answer:  16

Step-by-step explanation:

Given:

Enclosure is 4 m x 18 m x 7 m

Find:

How many 30 m³ spaces can you make in  the enclosure.  This will tell you how many otters can live

Solution:

Cuboid is same as cube

Volume for cube = Length x width x height

Volume for cube = 4 x 18 x 7

Volume for cube = 504 m³

Divide 504 by 30 to find the number of spaces the enclosure can hold

Can hold = 540/30

Can hold = 16.8

You cannot hold 16.8 otters because you cannot have a portion of an otter so you round down to 16.

16 is your answer

The capacity of the container is equal to 7.6 × 10⁻³ kiloliters.

This is a unit conversion question, in which we need to determine how many kiloliters are equivalent to the capacity of a container.

According to capacity tables, a cubic decimeter or 1000 cubic centimeters equals a liter. Then, we can determine the number of kiloliters by using the following cross multiplication:

x = 7.6 dm³ × (1 L / 1 dm³) × (1 kL / 1000 L)

x = 7.6 × 10⁻³ kL

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Answer:

10

Step-by-step explanation:

The probability of getting a sample without any defect is 1 / 6.

Probability is defined as the ratio of the number of favourable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.

Probability = Number of favourable outcomes / Number of sample

Given that a quality control engineer inspects a random sample of 3 batteries from each lot of 24 car batteries that are ready to be shipped.

Total batteries = 24

Total non-defective batteries = 24 - 6 = 18

Probability = Number of favourable outcomes / Number of sample

Probability = 3 / 18

Probability = 1 / 6

Therefore, the probability of getting a sample without any defect is 1 / 6.

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Answer:

14

Step-by-step explanation:

0.56÷0.04

=(0.56×100)÷(0.04×100)

=56÷4

=14

So, the answer is 14.

Parent function = √x

On stretching vertically by factor of 6

New function G(x) = 6√x

The interquartile range (IQR) for Ruby's data set is 1.25 seconds.

What is interquartile range?

The difference between the third and the first quartile is defined by the interquartile range. The partitioned values known as quartiles divide the entire series into four equally sized segments. There are so three quartiles. The first quartile, also known as the lower quartile, is marked by Q1, the second quartile by Q2, and the third quartile, sometimes known as the upper quartile, is denoted by Q3. The lower quartile less the upper quartile equals the interquartile range.

To find the interquartile range (IQR) for Ruby's data set, we first need to find the median (Q2) of the data set.

To do this, we can order the data from least to greatest -

16, 16.5, 17, 17.5, 18, 18, 20

The median (Q2) is the middle number, which is 17.5.

Next, we need to find the median (Q1) of the lower half of the data set, which is all values less than or equal to 17.5 -

16, 16.5, 17, 17.5

To find the median of this set, we take the middle value, which is the average of the two middle numbers -

(Q1) = (16.5 + 17)/2 = 16.75

Finally, we need to find the median (Q3) of the upper half of the data set, which is all values greater than or equal to 17.5 -

17.5, 18, 18, 20

To find the median of this set, we take the middle value, which is the average of the two middle numbers -

(Q3) = (18 + 18)/2 = 18

The interquartile range (IQR) is the difference between the third quartile (Q3) and the first quartile (Q1) -

IQR = Q3 - Q1

IQR = 18 - 16.75

IQR = 1.25

Therefore, the interquartile range (IQR) is obtained as 1.25 seconds.

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Answer:

The pvalue of the test is 0.0007 < 0.01, which means that we reject the null hypothesis and accept the alternate hypothesis that the percentage of defective items produced by this machine is greater than 5%.

Step-by-step explanation:

A machine, when working properly, produces 5% or less defective items.

This means that the null hypothesis is:

\(H_0: p \leq 0.05\)

Test if the percentage of defective items produced by this machine is greater than 5%.

This means that the alternate hypothesis is:

\(H_a: p > 0.05\)

The test statistic is:

\(z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}\)

In which X is the sample mean, \(\mu\) is the value tested at the null hypothesis, \(\sigma\) is the standard deviation and n is the size of the sample.

0.05 is tested at the null hypothesis:

This means that \(\mu = 0.05, \sigma = \sqrt{0.05*0.95}\)

A random sample of 300 items taken from the production line contained 27 defective items.

This means that \(n = 300, X = \frac{27}{300} = 0.09\)

Value of the test statistic:

\(z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}\)

\(z = \frac{0.09 - 0.05}{\frac{\sqrt{0.05*0.95}}{\sqrt{300}}}\)

\(z = 3.18\)

Pvalue of the test:

Testing if the mean is greater than a value, which means that the pvalue of the test is 1 subtracted by the pvalue of Z = 3.18, which is the probability of a finding a sample proportion of 0.09 or higher.

Looking at the Z-table, Z = 3.18 has a pvalue of 0.9993

1 - 0.9993 = 0.0007

The pvalue of the test is 0.0007 < 0.01, which means that we reject the null hypothesis and accept the alternate hypothesis that the percentage of defective items produced by this machine is greater than 5%.

When Jackson wrote different patterns for the rule "subtract 5", the patterns that he could have written include

A. 27, 22, 17, 12, 7

D. 100, 95, 90, 85, 80

It is important to note that an expression is simply used to show the relationship between the variables that are provided or the data given regarding an information. In this case, it is vital to note that they have at least two terms which have to be related by through an operator.

Some of the mathematical operations that are illustrated in this case include addition, subtraction, etc. In this case, when Jackson wrote different patterns for the rule "subtract 5", the patterns that he could have written include 27, 22, 17, 12, 7 and 100, 95, 90, 85, 80. In this cases, there are difference of 5.

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Complete question

Jackson wrote different patterns for the rule "subtract 5". Select all of the patterns that he could have written.

27, 22, 17, 12, 7

5, 10, 15, 20, 25

55, 50, 35, 30, 25

100, 95, 90, 85, 80

75, 65, 55, 45, 35