write the sentence as an inequality. A number n plus 8 is greater than 11

The Inequality is ___
Solve the inequality
The solution is ___

Answer:

c

Step-by-step explanation:

Whats the question

Answer:

i cant see the question could u repost it plz thx :)

Step-by-step explanation:

The required explicit formula for the given sequence to determine the nth term is given as nth term = 8 + (n - 1)3.

Arithmetic progression is the series of numbers that have common differences between adjacent values.

here,
The Sequences 8, 11, 14,...

first term a = 8
common difference = 11 - 8 = 3

Now,
The explicit formula is given as,
nth terms = a + (n - 1)d
nth term = 8 + (n - 1)3

Thus, the required explicit formula for the given sequence to determine the nth term is given as nth term = 8 + (n - 1)3.

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Answer:

Quotient is \(5(x^2+x+1)\) and remainder is 0.

Step-by-step explanation:

Given: \(\frac{5x^4+5x^2+5}{x^2-x+1}\)

To find: quotient and remainder

Solution:

In the given question,

Dividend = \(5x^4+5x^2+5\)

Divisor = \(x^2-x+1\)

\(\frac{5x^4+5x^2+5}{x^2-x+1}\\=\frac{5(x^4+x^2+1)}{x^2-x+1}\\=\frac{5[x^2(x^2+1)+1]}{x^2-x+1}\\=\frac{5[x^2(x^2-x+x+1)+1]}{x^2-x+1}\\=\frac{5[x^2(x^2-x+1)+x^3+1]}{x^2-x+1}\\=\frac{5[x^2(x^2-x+1)+x(x^2)+1]}{x^2-x+1}\\=\frac{5[x^2(x^2-x+1)+x(x^2-x+1+x-1)+1]}{x^2-x+1}\\=\frac{5[x^2(x^2-x+1)+x(x^2-x+1)+(x^2-x+1)]}{x^2-x+1}\\=\frac{5[(x^2-x+1)(x^2+x+1)}{x^2-x+1} \\=5(x^2+x+1)\)

So, quotient is \(5(x^2+x+1)\) and remainder is 0.

Answer:

64

Step-by-step explanation:

S.A=96

6a^2=96

a^2=96/6

a^2=16

a^2=4^2

so a=4

again,

volume of cube=a^3

=4^3

=64

The inverse function of f(x) = 4x is:

f⁻¹(x) =  (1/4)*x

So the correct option is the fourth one.

For any function f(x) we define the inverse f⁻¹(x) such that:

f(f⁻¹(x))  =x

f⁻¹(f(x)) = x

In this case we have f(x) = 4*x

Then the inverse is also a linear function:

f⁻¹(x) = a*x + b

Using the rules for inverses we get:

f⁻¹(f(x)) = a*f(x) + b = a*(4x) + b = x

a*(4x) + b = x

Then we have b = 0

a*4x  = x

a*4 = x/x

a*4 = 1

a = 1/4

The inverse is:

f⁻¹(x) =  (1/4)*x

The correct option is the last one.

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To find f(-8) and f(6), all that we need to do is plug in each of the numbers for x.

f(-8) = -8 - 1 = -9

f(-8) = -9

f(6) = 6 - 1 = 5

f(6) = 5

Hope this helps!

If f(-x) = x - 1, then f(x) = - x - 1. So

f(-8) = 8 - 1 = 7

and

f(6) = - 6 - 1 = -7

Answer: 32

Step-by-step explanation:

total= 180

180-148=32

To create the vectors using `seq()` and `rep()` in R:

(a) To create the vector `1;1:5;2;2:5;...;12`, we can use `seq()` and `rep()`. Here is the code:

```
vector_a <- c(1, rep(seq(1, 5), each = 2), seq(2, 5), 12)
```

- `seq(1, 5)` generates a sequence from 1 to 5.
- `rep(seq(1, 5), each = 2)` repeats each element of the sequence twice.
- `seq(2, 5)` generates a sequence from 2 to 5.
- `c()` combines all the elements into a vector.
- The resulting vector will be `1;1;2;2;3;3;4;4;5;5;2;3;4;5;12`.

The vector `1;1:5;2;2:5;...;12` can be created using `seq()` and `rep()` in R.

(b) To create the vector `1;8;27;64;...;1000`, we can use `seq()` and exponentiation (`^`). Here is the code:

```
vector_b <- seq(1, 1000) ^ 3
```
- `seq(1, 1000)` generates a sequence from 1 to 1000.
- `^ 3` raises each element of the sequence to the power of 3.
- The resulting vector will be `1;8;27;64;...;1000`, as each number is cubed.

The vector `1;8;27;64;...;1000` can be created using `seq()` and exponentiation (`^`) in R.

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Answer:

5/6 in

Step-by-step explanation:

if you take \(\sqrt{25}/\sqrt{36}\), that gets you 5/6

Hope that helped :)

Answer:

The price elasticity of demand, when using the midpoint​ formula, would be B.1.29.

How to find the price elasticity of demand ?

Price elasticity of demand = ((Q2 - Q1) / ((Q2 + Q1) / 2)) / ((P2 - P1) / ((P2 + P1) / 2))

where:

Q1 = initial quantity demanded = 20 units

Q2 = final quantity demanded = 15 units

P1 = initial price = $8

P2 = final price = $10

Substituting the values:

Price elasticity of demand = ((15 - 20) / ((15 + 20) / 2)) / (($10 - $8) / (($10 + $8) / 2))

= (-5 / 17.5) / (2 / 9)

= (-0.2857) / (0.2222)

= -1.2857

= 1. 29

The vector space that has exactly one basis is the trivial vector space, which is the vector space containing only the zero vector.

A basis for a vector space is a set of linearly independent vectors that span the entire space. In a non-trivial vector space (a space that contains more than just the zero vector), there are infinitely many possible bases. This is because any set of linearly independent vectors that span the space can be used as a basis.

However, in the trivial vector space, there is only one vector (the zero vector), and it is linearly independent of itself. Therefore, the trivial vector space has exactly one basis, which is the set containing only the zero vector. Any other set of vectors in the trivial vector space is linearly dependent, and therefore cannot be used as a basis.

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To find the minimum score required for an A grade, we need to determine the cutoff point that corresponds to the top 13% of scores.

Given that the scores on the test are normally distributed with a mean of 69.5 and a standard deviation of 9.5, we can use the standard normal distribution to calculate the cutoff point. Using a standard normal distribution table or a statistical calculator, we find that the z-score corresponding to the top 13% is approximately 1.04. To find the corresponding raw score, we can use the formula:

x = μ + (z * σ)

where x is the raw score, μ is the mean, z is the z-score, and σ is the standard deviation. Plugging in the values, we have:

x = 69.5 + (1.04 * 9.5) ≈ 79.58

Rounding this to the nearest whole number, the minimum score required for an A grade would be 80. Therefore, a student would need to score at least 80 on the test to achieve an A grade according to the professor's grading scheme.

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The equation\(2^2 = 3^2\) does not define any of the given shapes, as it is simply a false statement. The equation \(y^{2/2 }= x^{2/2\) does define a hyperbolic paraboloid.

On the other hand, the equation \(y^{2/2 }= x^{2/2\) defines a hyperbolic paraboloid. A hyperbolic paraboloid is a three-dimensional surface that has a saddle-like shape, with two opposing parabolic curves that cross each other. It is also known as a "saddle surface" due to its shape.

The equation \(y^{2/2 }= x^{2/2\) can be rewritten as \(y^{2/2 }= x^{2/2\), which is in the form of a hyperbolic paraboloid equation. This surface can be obtained by taking a parabolic curve and sweeping it along a straight line in a perpendicular direction. This creates a surface with a hyperbolic cross-section in one direction and a parabolic cross-section in the other direction.

Hyperbolic paraboloids have a wide range of applications in architecture, engineering, and design. They are often used in the construction of roofs, shells, and other structures that require strong and lightweight materials. They can also be used to create interesting and unique shapes in art and sculpture.

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The equation 2x^2 = 3y^2 does not define any of the given three-dimensional shapes.

This is because it does not contain a z variable, which is necessary to define these shapes in three dimensions. Therefore, the equation cannot represent any of the given shapes.

On the other hand, the equation y^2 = 2x defines a hyperbolic paraboloid. This is a three-dimensional shape that resembles a saddle. It is formed by taking a hyperbola and rotating it around its axis. In this case, the hyperbola is oriented along the x-axis, and the parabolic cross-sections occur in the y-direction.

The equation can be rewritten as y^2 = 2(x - 0)^2, which is the standard form of a hyperbolic paraboloid. This equation can be graphed in a three-dimensional coordinate system, with the x-axis and y-axis forming the base and the z-axis representing the height of the surface above the base.

The shape is characterized by its saddle-like appearance, with two opposing hyperbolic curves along the x-axis and two opposing parabolic curves along the y-axis.

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a) The equation 1 has an infinite number of solutions, as both linear functions have the same slope and internet, hence Nyoko is incorrect.

b) Nyoko cannot find a value of b so that the equation has no solutions.

The equation 1 is given as follows:

6x - 5 + 2x = 4(2x - 1) - 1.

Combining the like terms and applying the distributive property, the simplified equations are given as follows:

8x - 5 = 8x - 4 - 1

8x - 5 = 8x - 5.

As they are linear functions with the same slope and intercept, the number of soltuions is of infinity.

The equation 2 is given as follows:

3x + 7 = bx + 7.

A system of linear equations will have zero solutions when:

As they have the same intercept for this problem, it is not possible to attribute a value of b such that the equation will have no solution.

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Answer:

-1/4(3)

Step-by-step explanation:

Answer:

The answer is 1.30(4) + 4.25(1) = 9.45

Step-by-step explanation:

1. Identify each number into the mathematical equation.

1.30 represents the price of each Dr. Pepper

4.25 represents the price of each box of blueberries

4 is the amount of Dr. Peppers the speaker is buying

Since there is only a box of blueberries, the number is just 1.

2. making the equation

There will be 4 Dr. Peppers that will cost $1.30, forming the equation 1.30(4)

Since there is only 1 box of blueberries, it will , form the equation 4.25(1)  

3. Combing the equation

Since they are two different objects, they will be separate numbers that will add into each other to form the total.

The Equation is 1.30(4) + 4.25(1) = 9.45

(1.30*4= 5.2 + 4.25 = 9.45)

Answer:

x = -1

Step-by-step explanation:

x=-1

Hope this Helped!

Fail to reject the null hypothesis . There is insufficient evidence to conclude the new procedure decreases production time.

Given,

Historical average production time:

μ = 46 minutes.

Now,

A random sample of 16 parts will be selected and the average amount of time required to produce them will be determined. The sample mean amount of time is = 42 minutes with the sample standard deviation s = 7 minutes.

So,

Null Hypothesis,  \(H_{0}\):  μ ≥ 46 minutes   {means that the new procedure will remain same or increase the production mean amount of time}

Alternate Hypothesis, \(H_{0}\)  :  μ   < 45 minutes   {means that the new procedure will decrease the production mean amount of time}

The test statistics that will be used here is One-sample t test statistics,

Test statistic = X - μ/σ/\(\sqrt{n}\)

where,  

μ = sample mean amount of time = 46 minutes

σ = sample standard deviation = 7 minutes

n = sample of parts = 16

Substitute the values,

Test statistic = 42 - 46 /7/4

Test statistic = -2.28

Thus the value of test statistic is -2.28 .

Now ,

The degree of freedom can be calculated by,

df = n-1

df = 15

Thus,

Fail to reject the null. There is insufficient evidence to conclude the new procedure decreases production time.

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Answer:

$80

Step-by-step explanation:

500-390-30

$80

Answer:

12 sides

Step-by-step explanation:

To find the number of sides, use a formula.

\(\frac{360}{\theta }=n\)

θ is the measure of each exterior angle of the regular polygon.

n is the number of sides of the regular polygon.

\(\frac{360}{30} =12\)

Answer: 180 times

Step-by-step explanation:

Given the following :

Production capacity of old workshop :22,912,546,992 toys per year

Production capacity of new workshop:

4,134,232,638,937 toys

Approximately how many times as many toys can the new workshop produce each year compared to the old workshop?

Production capacity of new workshop / production capacity of old workshop

= 4,134,232,638,937 / 22,912,546,992

= 180.435

= 180 ( nearest whole number)

Answer:

Its B

2 multiplied by 10 to the power of 1

Step-by-step explanation:

The person above has the exact amount.

Answer:

(a) x = 40°

Step-by-step explanation:

(2x+43)°+(2x-3)°=180°

4x+40°=180°

x=40°

Answer:

7/12

Step-by-step explanation:

Total = 10W+14R

probability of red = R/total

10+14 = 24 so total = 24

R = 14

14/24

reduce (divide by two on the top and bottom)

14/2

-------

24/2

= 7/12

Answer:

$0.33 per ball

Step-by-step explanation:

haha we meet again.

Divide 1.33 by 4

1.33/4=0.3325

Round to the nearest tenth

0.33

The correct answer is C. This is because the shaded part, the y, is less than the line, so it would be <, but the line is not dotted, so then it would be less than or equal to.

Answer:

12 miles

Step-by-step explanation:

Total miles = Length of trail ×

Number of times she rode

Total miles = 3 miles × 4 times

Total miles = 12 miles

Mika traveled a total of 12 miles.

Answer: a graph of a line that passes through the points negative 1 comma 2 and 0 comma negative 3.

Step-by-step explanation: the y-intercept is where the line meets the y line which in this case is -3. I used slope formula to find the m of the equation ( slope ) take a look at the attached image to see how I solved it.

Answer:

a graph of a line that passes through the points negative 1 comma 2 and 0 comma negative 3.

Step-by-step explanation:

Use the rule of 3 to find the answer

6 weeks ----> 24 books

36 weeks ----> x

Find x