what is x when 2x + 5 = 15
period ahh period uhh

3/13              least

1/7

1/4               greatest

It takes 53 years until we run out of gas.

Given,

Reserves of natural gas = 6500 TCF

Consumption per year = 123 TCF

Therefore,

years left ( x )= Reserves of natural gas / Consumption per year  

                     = 6500/123

                     = 52.8 years

                  x = 53 years approximately

So, it takes 53 years until we run out of gas at this rate of consumption.

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Answer:

plsssssssssssssssssssssssssssssssssss

First, we can start input small whole numbers in the function to see if we get a whole number. Let's try with 0, 1 and 2:

None of those values worked. Let's try negative integers, such as -1 and -2:

We get integer coordinates if we use negative integers. Then, we need at least 5 points. Let's use x = -1, -2, -3, -4, -5

We have the points:

(-1, -8), (-2, -7), (-3, -5), (-4, -1) and (-5, 7)

If we locate them in the cartesian plane:

And now, we can estimate the graph. An exponential function where the base is smaller than 1, describes an exponential decay, and the term "-9" is applying a shift 9 units down, and also y = -9 is a horizontal asymptote. With all this and the points we just found:

Answer:

-8x

Step-by-step explanation:

So therefore the answer is -7, -8 x -7 = 56

35/35-14/35=21/35=0.6=60%

Answer:

1

Step-by-step explanation:

1+1=2 :D

Answer:

4.10=4.x+28

4.x=40-28

4.x=12

x=12/4

x=3

In conclusion We can start by labeling one of the acute angles of the right triangle as \($\theta$\). Then we can use the trigonometric ratios of sine, cosine, and tangent to relate the side lengths to \($\theta$\).

We want to find side lengths a, b, and c such that:

60 is the geometric mean of 36 and 100, which means 60² = 36 × 100, or a:b = b:c = 6:10.

80 is the geometric mean of 64 and 100, which means\($80\² = 64 \cdot 100$, or $a:b = b:c = 8:10$.\)

48 is the geometric mean of 36 and 64, which means \(48\² = 36 \cdot 64$, or $a:b = b:c = 3:4$.\)

To satisfy all three conditions, we can choose \(a = 18$, $b = 30$, and $c = 36$\). Then we have:

\(a:b = 6:10$, $b:c = 6:10$, so $b\²2 = ac = 18 \cdot 36$.\)

\(a:b = 8:10$, $b:c = 8:10$, so $b\²2 = ac = 24 \cdot 30$.\)

\(a:b = 3:4, $b:c = 3:4, so b\²2 = ac = 12 \cdot 16.\)

I am attaching the diagram.

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The expressions that are not polynomials are the second and third ones:

A polynomial is a lineal combination of terms of powers of variables, such that the exponents must be positive integers or zero.

So, for example, a polynomial of degree n is:

p(x) = aₙ*xⁿ + ... + a₂*x² + a₁*x + a₀

Where we also can have more than one variable.

Then, for example the first one:

-4p + 7

Is a polynomial of degree 1.

The options that are not polynomials are:

p(n) = 3 + 1/n

p(q) = q^(1/2) + 5

Which are the second and third options.

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Answer:

Those are the answers

Step-by-step explanation:

3 + 1/n

q^(1/2) + 5

Answer:

1 1/2 cups

Step-by-step explanation:

original amount = 2 1/4 cups = (2 × 4 + 1)/4 cups = 9/4 cups

2/3 of original amount = 2/3 × 9/4 cups = 18/12 cups = 3/2 cups = 1 1/2 cups

Answer:

x = 25

Step-by-step explanation:

First we need to show that these two triangles are similar.  Add up the angles 68 and 38 degrees in the first triangle, and then subtract this sum from 180 degrees.  This results in 74 degrees, which matches 74 degrees in the second triangle.

Next we write and solve an equation of ratios:

 6        10

----- = -------

15         x

Cross multiplying returns 6x = 150, so that x = 25.

Note that 6/15 is the ratio of the shortest sides, and 10/x is the ratio of the longest sides.

Answer:

gemma gets 6 and zac gets 12

Step-by-step explanation:

zac gets double the about

Answer:

increased = addition

twice = multiply by 2

is = equals

a number = x

16+2x=-56

subtract 16 from both sides

2x=72

divide by 2

x=36

Step-by-step explanation:

Mean = $ 4. 72

Median = $ 4. 5

Mode = No mode

MAD = $ 4. 8

IQR = $ 0. 5

Measure of center = $ 4. 5

Measure of variability = $ 2. 50

Given the data;

$3.50, $4.25, $6, $4.75, $5.80, $4

Mean = sum of data/ number of data values

Mean = \(\frac{3. 50 + 4. 25 + 6 + 4. 75 + 5. 80 + 4}{6}\)

Mean = $ 4. 72

Median is the number in the center when the data is arranged in an ascending order

$3. 50, $4, $4. 25, $4. 75, $5. 80, $6

Median = \(\frac{4. 25 + 4. 75}{2}\)

Median = $ 4. 5

Mode is the number with the highest repeats.

From the given data, none of the numbers was repeated.

Thus, there is no mode.

MAD, mean absolute deviation = |data value - mean|

MAD = \(|(3. 50 - 4. 72) + (4. 25 - 4. 72) + (6 - 4. 72) + (4. 75 - 4. 72) + (5. 80 - 4.72) + (4- 4. 72) |\)

MAD = \(1. 22 + 0. 47 + 1. 28 + 0. 03 + 1. 08 + 0. 72\)

MAD = $ 4. 8

IQR, interquartile range = Quartile 3 - quartile 1

IQR = 4. 75 - 4. 25

IQR = $0. 5

Note that  the mean and median are the most common measures of center.

A measure of variability is a single number that is  used to describe the spread of a data set

The measure of the center best for the data is the median = $4. 5

Measure of variability = range = highest value - lowest value = $6 - $3. 50 = $2. 50

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The standard normal distribution that represents the variable in the question indicates that we get;

a. The probability is about 0.42858

b. The probability that the average mpg of 3 randomly selected passenger cars is more than 32 mpg is 0.35197

c. The probability that all the three cars get more than 32 mpg is about0.0788

A standard normal distribution, also known as the Gaussian distribution, and the z-distribution, has a mean of 0, and a standard deviation of one.

a. The standard score (z-score) of 32 mpg can be obtained as follows;

z = (32 - 31.2)/4.5 ≈ 0.178

The probability that a standard normal variable has a z-score, larger than 0.178, obtained from the z-score table is therefore;

P(Z > 0.178) ≈ 1 - 0.57142 = 0.42858

b. The of the sample is μ = 31.2

The standard deviation of the sample is, σ = 4.5/√(3)

z = (x - μ)/(σ/√n)

Therefore;

z = (32 - 31.2)/(4.5/√(3)) ≈ 0.308

The probability that a standard normal variable has a z-score larger than 0.308, from the z-score table, therefore is; p(z > 0.308) = 1 - 0.64803 = 0.35197

c. The mpg ratings are independent, therefore, we get;

P(the three cars get more than 32 mpg) = P(car 1 gets more than 32 mpg) × P(car 2 gets more than 32 mpg) × P(car 3 gets more than 32 mpg)

The probability that a car gets more than 32 mpg is about 0.42858

Therefore;

P(the three cars get more than 32 mpg) = 0.42858 × 0.42858 × 0.4288 ≈ 0.0788

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Answer:5.692 is a terminating decimal because the decimal stopped at the digit of 2.

Step-by-step explanation:

Answer: 8 1/4 miles

Step-by-step explanation:

I think your question isn't well written and should be:

Nathan jogged 2 1/4 miles on Monday. On Wednesday, he jogged 3 1/3 miles and on Friday, he jogged 2 2/3 miles. How far did Nathan jog altogether?

This will be:

= 2 1/4 + 3 1/3 + 2 2/3

= 2 3/12 + 3 4/12 + 2 8/12

= 7 15/12

= 7 + 1 3/12

= 8 3/12

= 8 1/4 miles

Answer:

Step-by-step explanation:

x = 56

The perpendicular height of the given oblique prism is 6 units. The answer is not one of the options given, but it is closest to option :

(d) 8 units

We can use the formula for the volume of an oblique prism, which is:

V = Bh, where B is the area of the base and h is the perpendicular height.

We are given that the volume is 144 cubic units and the area of the base is 24 square units. Substituting these values into the formula, we get:

144 = 24h

Simplifying, we can divide both sides by 24:

h = 6

Therefore, the perpendicular height of the prism is 6 units. The answer is not one of the options given, but it is closest to option d, which is 8 units.

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To determine if a polynomial graph is positive or negative, you need to look at the sign of the leading coefficient of the polynomial. If the leading coefficient is positive, the graph will be positive.

If the leading coefficient is negative, the graph will be negative. This is because the highest degree of the polynomial will determine the sign of the graph as the graph will either be increasing (positive) or decreasing (negative). To determine the leading coefficient, look at the polynomial expression and identify the term with the highest degree. The sign of this term will be the sign of the graph. For example, if the highest degree is 3, then the term would be ax^3, and the graph will be positive if a is positive, and negative if a is negative.

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Answer: 17 is a prime number.

Explanation:

17 is a prime number because it is a natural number greater than 1 that has no positive divisors other than 1 and itself. In other words, 17 can only be divided evenly by 1 and 17. It is not possible to find any other whole number that can divide into 17 without a remainder. This property is what makes 17 a prime number.

Answer:

17

Step-by-step explanation:

17 is the only # in the set that is only divisible by 1 and itself, make it prime.

On the other hand,

10 is divisible by:

1, 10

2, 5.

12 is divisible by:

1, 12

2, 6

3, 4

So only 17 is prime.

Answer:

41 is the answer :>

Please do not sue me for not explaining

The percentile score of 71 on test score is 27 and the score of victor is 71.

Statistics is the science concerned with developing and studying methods for collecting, analyzing, interpreting and presenting empirical data.

Given, the teacher recorded unit 4 test scores from class.

The scores are: 5,4,66,70,71,75,77,80,84,85,87,90,93,95 and 96.

A percentile is a value on a scale of one hundred that indicates the percent of a distribution that is equal to or below it.

The percentile rank of a score of 71 on the test is find by formula

\(R_{100} =\frac{100(N < )+\frac{1}{2} }{N}\)

=100×4+1/2(1)/15

=400+0.5/15

=400.5/15

=26.7=27th

Now we need to find the score of victor who has 60th percentile.

60=Score/15

score=71

Hence, the percentile score of 71 on this test score is 27 and the score of victor is 71.

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Answer:

See below

Step-by-step explanation:

Add 5 to each preceding number

               \(a_{n}\) = (\(a_{n-1}\))+5

1 9  9

2  14   [9+5]

3  19   [14+5]

4  24  [19+5]

5  29  [24+5]

6 34 34  [29+5]

Answer: The answer is D

Step-by-step explanation: It is the only option that makes sense to me.

Answer:

i need points

Step-by-step explanation:

Answer:

That kind of depends what x is...the theta angle? the hypotenuse? the base?

But i'll solve it for the missing value of the hypotenuse

5^2 +{ 12^2=c^2

169=c2

c=169 root

c=13 inches

Answer:

Lucía no tiene que cambiar ya la bicicleta porque ha recorrido 18,720 km.

Step-by-step explanation:

Para determinar la respuesta tienes que encontrar la cantidad de km que Lucía ha hecho en 3 años multiplicando los 120 km que hace a la semana por la cantidad de semanas que hay en 3 años. Para determinar las semanas, tienes que considerar que en 1 año hay 52 semanas:

Semanas=52*3= 156 semanas

120*156=18,720 km

De acuerdo a esto, la respuesta es que Lucía no tiene que cambiar ya la bicicleta porque ha recorrido 18,720 km.