Greg is thinking of a number n, and he wants his sister to guess the number. His first clue is that three less than two times his number is at least five and at most seven. Write a compound inequality that shows the range of numbers that Greg might be thinking of.

Answer:

x = 4

Step-by-step explanation:

Perimeter of triangle: P = (5x -1) + (5x -1) + (2.2x + 10)

Perimeter of square: P = 4(6.5x - 11.8)

so (5x -1) + (5x -1) + (2.2x + 10) = 4(6.5x - 11.8)

5x - 1 + 5x - 1 + 2.2x + 10 = 26x - 47.2

12.2x + 8 = 26x - 47.2

26x - 12.2x = 8 + 47.2

13.8x = 55.2

x = 55.2/13.8 = 4

Answer:

The answer is -14.

Step-by-step explanation:

16-30

-(30-16)

=-14.

Hope that helped!

\( - 110 \: degree\)

The value of x in degrees will be 6° and 11° using properties of parallel lines.

They are typically equal-distance, parallel straight lines. The lines here are parallel. They never come together no matter how far you extend them in any one way.

Pairs of equal-sized angles that are both obtuse or acute and are generated on the same side of the transversal are known as corresponding angles. Each pair of comparable angles on the same side of the crossing transversal is equal to the other.

The alternative angle theorem states that alternate interior angles or alternate exterior angles that come from cutting two parallel lines are congruent.

In the above figure,

8x + 7 = 55

8x  = 55 - 7

x = 6

Measure of the angle will be 8 × 6 + 7 = 49

In 11)

10x + 10 = 9x + 21 (by using first corresponding angles and then alternate angles)

⇒x = 11

The value of x in degrees will be = 11° using properties of parallel lines.

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The probability that the mean battery life would be greater than 526.4 minutes if in a sample of 81 batteries having a variance of, 2916 and a mean life of 518 minutes is 0.0808.

The ratio of good outcomes to all possible outcomes of an event is known as probability. A lot of successful results for an experimental with 'n' results can be represented by the symbol x.

Given:

The variance = 2916,

The mean life of a battery, m = 518 min,

The total number of samples, n = 81

Calculate the probability of a mean battery life of lower than 526.4 minutes by the following formula,

z = x - m / (σ / √ n)

Here, x is the expected value, σ is the deviation, and z is the probability.

Substitute the values,

z = 526.4 - 518 / (54 / √81)         [σ = √ variance = √2916  = 54]

z = 1.4

Consult the cumulative standard normal table

P (z < 526.4) = 0.9192,

But we know that

P (z > 526.4) = 1 - P (z < 526.4)

P (z > 526.4) = 1 - 0.9192 = 0.0808

Therefore, The probability that the mean battery life would be greater than 526.4 minutes if in a sample of 81 batteries having a variance of, 2916 and a mean life of 518 minutes is 0.0808.

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The standard deviation of the restaurant profits in 2021 is given by $71181.

Restaurant profit for outcome 'move to A' = $ 260000

Restaurant profit for outcome 'move to B' = $ 120000

Restaurant profit for outcome 'stay in C' = $ 100000

The mean of restaurant profits = $(260000 + 120000 + 100000)/3 =$ 160000.

Standard deviation of the restaurant profits in 2021 is given by

= $ √({(260000 - 160000)² + (120000 - 160000)² + (100000 - 160000)²}/3)

= $ √(((100000)² + (40000)² + (60000)²)/3)

= $ √(15200000000/3)

= $ √5066666667

= $ 71181 (rounded to the nearest dollar)

Hence standard deviation of the restaurant profits in 2021 is given by $71181.

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The question is incomplete. The complete question will be -

\(▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪\)

Let's evaluate :

Answer:

\(46\)

Step-by-step explanation:

Hey there,

Before solving the sum you have to know about the BODMAS theorem.

That means you have to solve this sum according to the BODMAS theory.

BODMAS theory is,

B - Brackets

O - Of

D - Division

M - Multiplication

A - Addition

S - Subtraction

Let us solve the sum now.

\(3 \times {2}^{3} + {5}^{2} - 18 \div 6 \\ 3 \times 8 + 25 - 18 \div 6 \\ 24 + 25 - 3 \\ 49 - 3 \\ = 46\)

Hope this helps you.

Let me know if you have any other questions :-):-)

The value of x is 58.51 degree.

We have,

Perpendicular= 8

Base = 4.9

Using trigonometry

tan x = Perpendicular/ Base

tan x = 8/4.9

tan x= 1.63265306122449

x = 58.51253064

Thus, the value of x is 58.51 degree.

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The number of hours that Konner is left with till they can reach their destination is 1 ¹ / ₃ hours

We can start by using a proportion to set up an equation to solve for the time needed to arrive:

Distance traveled / total distance = time traveled / total time

Using a ratio, we infer that 5 / 6 of an hour is equivalent to 1 / 3 of the way.

This means that if there are 2 / 3 of the way left, the hours left till Konner reaches is:

= 5 / 6 x 2

= 10 / 6

= 5 / 3

= 1 ¹ / ₃ hours

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Question is:

How much longer till he arrives ?

In order to express the 4 minutes and 45 seconds in seconds, we just have to follow these steps:

1 . Note that one part of the time is already in seconds (45 seconds), then we leave it the way it is and just convert the part in minutes.

4 minutes + 45 seconds

2. convert the time in minutes to seconds, one minute is equivalent to 60 seconds, then 4 minutes is equivalent to 4 times 60 seconds, then we get:

4×60 seconds + 45 seconds

240 seconds + 45 seconds

3. Add 240 and 45

240 + 45 = 285

Then, 4 minutes 45 seconds = 285 seconds

Answer:

60%

Step-by-step explanation:

Answer:

90%

Step-by-step explanation:

The y-intercept of the linear model is 211,400, which represents the estimated number of automobiles in the town in the year 2015 (when the independent variable is zero).

To find the y-intercept of the linear model, we need to determine the value of the dependent variable (the number of automobiles) when the independent variable (the number of years since 2015) is equal to zero.

Let's first find the slope of the line, which represents the rate of change of the number of automobiles per year:

slope = (change in number of automobiles) / (change in number of years)

slope = (2420 - 1890) / (2020 - 2015) = 106 automobiles per year

Now we can use the point-slope form of a linear equation to find the y-intercept:

y - y1 = m(x - x1)

where y1 is the value of the dependent variable when the independent variable is x1. In this case, x1 = 2015, y1 = 1890, and m = 106 (the slope we just calculated).

y - 1890 = 106(x - 2015)

To find the y-intercept, we can set x = 0:

y - 1890 = 106(0 - 2015)

y - 1890 = -213,290

y = 211,400

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Formula for the concentration after n steps is \(C(n) = C(0) * (0.86)^n\) and

after 11 steps, the mixture contains less than 9% vinegar.

What is concentration?

Concentration in science refers to the amount of a particular substance (the solute) that is dissolved in a given amount of a solution. It is typically expressed in units of moles per liter (M or mol/L) or as a percentage or fraction of the total solution.

a. Let C(n) be the concentration of vinegar after n steps. At each step, we remove 0.14 L of the mixture, which contains C(n) liters of vinegar. So we are left with (1 - C(n)) liters of water. We then add back 0.14 L of water, giving us a total volume of 1 liter. Therefore, the concentration after one step is:

\(C(1) = C(0) * \frac{1 - 0.14}{1}\)

where C(0) is the initial concentration of vinegar, which is 1 liter per liter or 100%. After two steps, we repeat the process:

C(2) = C(1) * \(\frac{1 - 0.14}{1}\)

Substituting the formula for C(1), we get:

C(2) = C(0) * \((\frac{1 - 0.14}{1}) * (\frac{1 - 0.14}{1})\)

or, more generally:

\(C(n) = C(0) * (0.86)^n\)

b. We want to find the smallest integer n such that C(n) < 0.09 or 9%. Substituting the formula from part (a), we get:

\(C(0) * (0.86)^n < 0.09\)

Dividing both sides by C(0), we get:

\((0.86)^n < 0.09\)

Taking the natural logarithm of both sides, we get:

n * ln(0.86) < ln(0.09)

Dividing both sides by ln(0.86), we get:

n > ln(0.09) / ln(0.86)

Using a calculator, we get:

n > 10.7

Since n must be an integer, the smallest possible value of n is 11. Therefore, after 11 steps, the mixture contains less than 9% vinegar.

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Answer:

c<190

Step-by-step explanation:

Step 1: Subtract 670 from both sides.

7c+670−670<2000−670

7c<1330

Step 2: Divide both sides by 7.

7c  7 <

1330

7

anyways thjis would be the answer c<190

Answer:

Step-by-step explanation:

Given:

Summation problem is:

\(\sum\limits_{n=1}^{35}n(n^2+1)\)

To find:

The properties or formulas must be used to evaluate the given summation.

Solution:

We have,

\(\sum\limits_{n=1}^{35}n(n^2+1)\)

In can be rewritten as:

\(\sum\limits_{n=1}^{35}n(n^2+1)=\sum\limits_{n=1}^{35}(n^3+n)\)

\(\sum\limits_{n=1}^{35}n(n^2+1)=\sum\limits_{n=1}^{35}n^3+\sum\limits_{n=1}^{35}n\)        \(\left[\because \sum\limits_{i=1}^n(a_i\pm b_i)=\sum\limits_{i=1}^na_i\pm \sum\limits_{i=1}^nb_i\right]\)

\(\sum\limits_{n=1}^{35}n(n^2+1)=\left[\dfrac{35(35+1)}{2}\right]^2+\dfrac{35(35+1)}{2}\)  \(\left[\because \sum\limits_{i=1}^ni=\dfrac{n(n+1)}{2},\sum\limits_{i=1}^ni^3=\left[\dfrac{n(n+1)}{2}\right]^2\right]\)

\(\sum\limits_{n=1}^{35}n(n^2+1)=\left[\dfrac{35(36)}{2}\right]^2+\dfrac{35(36)}{2}\)

\(\sum\limits_{n=1}^{35}n(n^2+1)=\left[630\right]^2+630\)

\(\sum\limits_{n=1}^{35}n(n^2+1)=396900+630\)

\(\sum\limits_{n=1}^{35}n(n^2+1)=397530\)

Therefore, the properties and formula used are:

\(\sum\limits_{i=1}^n(a_i\pm b_i)=\sum\limits_{i=1}^na_i\pm \sum\limits_{i=1}^nb_i,\\\sum\limits_{i=1}^ni=\dfrac{n(n+1)}{2},\\\sum\limits_{i=1}^ni^3=\left[\dfrac{n(n+1)}{2}\right]^2\)

Answer: see attachment below

Step-by-step explanation:

Answer:

$7

Step-by-step explanation:

$10 - $3 = $7

Greece is different from most other countries in southern Europe because its most popular religion is not Catholicism. Option B

Catholicism refers to the traditions, beliefs, and behaviors of the Catholic Church

Greece is predominantly an Orthodox Christian country, whereas most other countries in southern Europe, such as Italy, Spain, and Portugal, are predominantly Catholic.

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Answer:

y = x - 2

General Formulas and Concepts:

Algebra I

Slope-Intercept Form: y = mx + b

Step-by-step explanation:

Step 1: Define

Slope m = 1

y-intercept b = -2

Step 2: Write linear function

y = x - 2

Answer: B, y=x-2

Step-by-step explanation:

The slope-intercept form is y=mx+b where m=slope and b=y intercept

therfore, subtituting 1 for m and -2 for b

y=x-2

The slope in the equation p = 52 + 0.04w represents the rate of change in the water bill payment for each additional unit of water consumed.

Specifically, the slope of 0.04 indicates that for every increase of one unit in the number of water units (w), the water bill payment (p) will increase by 0.04 dollars.

This means that the slope represents the incremental cost of each additional unit of water.

In practical terms, the slope of 0.04 implies that for every additional unit of water consumed, the water bill will increase by $0.04.

This indicates a constant rate of increase in the water bill for each additional unit of water used.

It's important to note that the slope remains constant throughout the equation, suggesting a linear relationship between the amount of water consumed and the corresponding bill payment.

Therefore, The slope, in this case, is the coefficient of the variable w, which is 0.04.

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The probable question may be:

What is the meaning of the slope in the equation p = 52 + 0.04w, which models the relationship between the water bill payment p in dollars and the number of units of water w ?

Answer:

The vertex of \(y = 4\, (x - 3)^{2} - 8\) is at \((3,\, -8)\).

Step-by-step explanation:

Consider a quadratic function with the point \((h,\, k)\) as the vertex (for some constants \(h\) and \(k\).) It would then be possible to express this function in the vertex form \(y = a\, (x - h)^{2} + k\) for some constant \(a\) where \(a \ne 0\). (Note the minus sign in front of \(h\).)

For example, the quadratic function \(y = 4\, (x - 3)^{2} - 8\) in this question is expressed in this vertex form:

\(y = 4\, (x - 3)^{2} + (-8)\).

The values of \(h\) and \(k\) are \(h = 3\) and \(k = (-8)\), respectively. Thus, the vertex of this parabola would be at the point \((3,\, -8)\).

Answer:

\(\displaystyle [3, -8]\)

Explanation:

First off, this equation came from the quadratic equation \(\displaystyle [y = Ax^2 + Bx + C],\)in which it was \(\displaystyle y = 4x^2 - 24x + 28.\)In the vertex equation \(\displaystyle [y = A(x - h)^2 + k],\)the vertex is represented by \(\displaystyle [h, k],\)in which −h gives you OPPOCITE TERMS OF WHAT THEY REALLY ARE, so be careful there.

I am joyous to assist you at any time.

Answer:

Savita will have more bags

Step-by-step explanation:

Savita: 250 cherries, 8 cherries per bag

Gail: 350 cherries, 12 cherries per bag

Savita: 250/8 = 31.25 bags

Gail: 350/12 = 29.17 bags

Savita will have more bags since 31.25 > 29.17

Answer:

Savita will have more bags

Step-by-step explanation:

Savita has 250 cherries and 8 cherries per bag

Gail has 350 cherries and 12 cherries per bag

Savita

=250/8 = 31.25 bags

Gail

=350/12 = 29.17 bags

therefore Savita will have more bags since 31.25 is more than Gail with 29.17 bags

The calculated value of k on the line is 9

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

XZ is the perpendicular bisector of segment WY

This means that

WX = XY

substitute the known values in the above equation, so, we have the following representation

3k - 4 = 2k + 5

So, we have

3k - 2k = 4 + 5

Evaluate

k = 9

Hence, the value of k is 9

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Best approximation of the mass of an African elephant is 8 ×10³kg

In physics, mass is a fundamental property of matter that measures the amount of substance in an object. It is a scalar quantity that describes an object's resistance to acceleration when a force is applied. Mass is usually measured in kilograms (kg) and can be calculated by dividing an object's weight by the acceleration due to gravity.

Given;

Mass of elephant=8139kg

Dividing the mass by 1000 and multiplying it by 10³, we get

Mass of elephant=8.139 ×10³kg

Estimating the mass of elephant, we get

Mass of elephant=8 ×10³kg

hence, best approximation of the mass of an African elephant is 8 ×10³kg.

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Answer

Step by step explantion:

bsf= 26

Eliana:98

SS teacher=203

David=55

Step-by-step explanation:

m= music

bsf: m

eliana:4m-6

David:2m+3

SS teacher: 2(4m-6)+7

m+4m-6+2m+3+8m-12+7

382=15m-7

7+ +7

389=15m

/15m /15m

m=26

multiply 26 to each one of them

About 0.46

0.46(6+26)=>15