During basic training, Kevin learns how to read distances on a radar. What should Kevin conclude is the distance around the largest circle on the radar screen?

The function that has a domain of {x | x > 8} is f(x) = 1. A domain is the set of all possible input values for a function. In this case, the domain is {x | x > 8}, which means that x can be any number greater than 8.

Looking at the given options, we can see that only the function f(x) = 1 satisfies this condition. For any value of x greater than 8, f(x) will always be equal to 1.

To further illustrate this, let's consider a few examples:

- If x = 9, then f(x) = 1
- If x = 10, then f(x) = 1
- If x = 100, then f(x) = 1

In each case, no matter how large x is as long as it is greater than 8, the function f(x) will always return 1.

Therefore, the function that has a domain of {x | x > 8} is f(x) = 1.

To know more about domain refer here:

https://brainly.com/question/29452843#

#SPJ11

Using a system of equations, it is found that the height of the TV is of 20 inches.

A system of equations is when two or more variables are related, and equations are built to find the values of each variable.

In this problem, the variables are:

The height of the screen of the tv is one half the width plus 5 inches, hence:

h = 0.5w + 5.

Since the width is of 30 inches:

h = 0.5 x 30 + 5 = 15 + 5 = 20.

The height of the TV is of 20 inches.

More can be learned about system of equations at https://brainly.com/question/24342899

It would be 14

hope this helps :)

We use the plot given to determine the values of f(x).

a. For f(0), this means that we have x = 0. Based on the plot, at x = 0, the value of y is 2. Hence, f(0) = 2.

b. For f(3), this means that we have x = 3. Based on the plot, at x = 3, the value of y is -2. Hence, f(3) = -2.

c. If f(x) = 3, our y value is 3. The x value that corresponds to the value of y =3 is 6. Hence, x = 6.

d. If f(x) = 0, our y value is 0. The x values that correponds to the value of y = 0 are -2, 3/2, and 5. Hence, x = -2, 3/2, and 5.

Janet's choice to use Door Dash instead of Uber Eats can be explained using two concepts from Predictably irrational: the power of free offers and the influence of perceived value.

In Predictably Irrational, one example discussed is the "Zero Price Effect." People tend to be more attracted to offers that are free, even if the overall value may be similar or slightly inferior. Janet's decision to choose Door Dash can be attributed to the free delivery promo, which creates a perception of added value and savings, even if the food prices themselves are comparable.

Another concept is "The Decoy Effect." When presented with multiple options, a decoy is strategically introduced to influence decision-making. In this case, Door Dash's free delivery offer acts as a decoy, making the alternative (Uber Eats) seem less appealing in comparison.

Janet's choice is influenced by the allure of a free offer, creating a positive perception of Door Dash's value. The power of free and the decoy effect play a role in swaying her decision.

Janet's choice of Door Dash over Uber Eats exemplifies the impact of free offers and perceived value on decision-making. The free delivery promo provided by Door Dash creates a sense of added value and savings, making it a more appealing option. The presence of a decoy effect diminishes the attractiveness of Uber Eats.

To know more about irrational visit:

https://brainly.com/question/29204809

#SPJ11

Answer:

\(\boxed{\boxed{\sf 6 }}\)

Mean = Sum of the data / No. of terms

= 7 + 5 + 10 + 2 / 4

= 24 /4

= 6

Therefore, the length of the box is x+6 = 10 inches, the width of the box is x-2 = 2 inches, and the height of the box is x-1 = 3 inches. Thus, the dimensions of the box are 10 inches by 2 inches by 3 inches.

a) The volume of a rectangular prism is given by multiplying its length, width, and height. Thus, the polynomial that represents the volume of the given box is:

\(V(x) = (x+6)(x-2)(x-1)\)

Expanding this expression, we get:

\(V(x) = x^3 + 3x^2 - 13x - 12\)

Therefore, the polynomial that represents the volume of the box is V(x) = \(x^3 + 3x^2 - 13x - 12.\)

b) We are given that the volume of the box is 60 cubic inches. We can set up an equation by equating the polynomial V(x) to 60 and solving for x:

\(x^3 + 3x^2 - 13x - 12 = 60\)

Simplifying this equation, we get:

\(x^3 + 3x^2 - 13x - 72 = 0\)

We can use either long division or synthetic division to find the roots of this equation. Using synthetic division, we can divide by x-4 and get:

4 | 1 3 -13 -72

|___4 28 60

1 7 15 0

Therefore, the roots of the equation are x = -5, x = -1, and x = 4. However, we can discard the negative roots since they don't make sense in the context of the problem.

Therefore, the length of the box is x+6 = 10 inches, the width of the box is x-2 = 2 inches, and the height of the box is x-1 = 3 inches. Thus, the dimensions of the box are 10 inches by 2 inches by 3 inches.

To know more about height, visit:

https://brainly.com/question/29117133

#SPJ1

5. x=60

6. x= 31, y=57

7. x=36, y=144, z=90

Answer:

C

Step-by-step explanation:

just is lol please make me brainliest

Answer:

O y=_5x+4 it is equation the line that is parallel

The equation of line passes through the point (-2, 2) will be;

⇒ y = 1/5x - 12/5

The equation of line in point-slope form passing through the points

(x₁ , y₁) and (x₂, y₂) with slope m is defined as;

⇒ y - y₁ = m (x - x₁)

Where, m = (y₂ - y₁) / (x₂ - x₁)

Given that;

Two points on the line are (- 5, -4) and (0, -3).

Now,

Since, The equation of line passes through the points (- 5, -4) and (0, -3).

So, We need to find the slope of the line.

Hence, Slope of the line is,

m = (y₂ - y₁) / (x₂ - x₁)

m = (- 3 - (-4)) / (0 - (-5))

m = 1 / 5

Hence, The slope of parallel line = 1/5

Thus, The equation of line with slope 1/5 and passes through the point (-2, 2) is,

⇒ y - (-2) = 1/5 (x - 2)

⇒ y + 2 = 1/5x - 2/5

⇒ y = 1/5x - 2/5 - 2

⇒ y = 1/5x - 12/5

Therefore, The equation of line passes through the point (-2, 2) will be;

⇒ y = 1/5x - 12/5

Learn more about the equation of line visit:

https://brainly.com/question/18831322

#SPJ7

Answer:

y+2=1/2(x+3)

Why?

Point slope form is written as (y-y1) = m(x-x1) with y1 being the value of y at a certain point, x1 being the value of x at a certain point, and m being slope. y1 and x1 are given to us by the point (-3, -2) letting us know that y1=-2 and x1=-3. The only thing left to find is slope. Parallel lines have the same slope. If the line we are trying to find is parallel to the one given in the question, we just need to find the slope of the equation given. That equation is given in slope-intercept form which is y = mx + b. m is still slope so we can see that the slope is 1/2. Now we can plug m, x1 and y1 into the point slope form equation to get y + 2 = 1/2(x + 3)

Answer:

29 is the correct answer. Hope you like my answer.

Answer:

grows by a factor of 1.53

The function that is likely the best fit is given as follows:

Logarithmic regression.

The function of a best fit is a logarithmic regression, as the function starts with a fast increasing rate until it approaches the vertical asymptote.

As for the other options, we have that:

More can be learned about functions at https://brainly.com/question/15602982

#SPJ1

The rules to plot the graph of the transformed function is explained clearly.

The graph of a function can be transformed by either shifting it in the right, left, up or down.

When the transformation is rightwards, the function becomes as g(x - a).

For left shifting it is g(x + a).

Suppose the function be g(x).

The transformation of g(x) implies change of its position on the coordinate axis as well as its size keeping the shape as the same.

If it is shifted by h units rightwards.

Then, it can be written as g(x - h)

For left shift of h units it is given as g(x + h).

Both the above transformation implies that the function f(x) will have same value at x = 0 and x = h or x = -h.

Similarly, it can be dilated as ag(x).

Which signifies the value of g(x) at any value of x is increased by a factor of a.

Hence, the  graph of a transformed function can be plotted by using the rules explained in the answer.

To know more about transformation of graph click on,

https://brainly.com/question/10059147

#SPJ4

Answer:

43.96

Step-by-step explanation:

You take the radius of 7 and multiply by 2 then multiply by 3.14

Answer:

I = 8000×1×15

--------------

100

I = 120000

----------

100

I = Rs 1200

$ 410

hi there !

80% ................. $328

100% .................$ x

x = 100×328/80

= 32800/80

= $ 410

Good luck !

Answer:

1) 9 units  2) 9 units 3) 50 units 4) 58 units

Step-by-step explanation:

i did this in my class

When constructing a frequency distribution for quantitative data, it is important to remember D. all of the above

A frequency histogram, or just histogram for short, is the graph of a frequency distribution for quantitative data. A histogram is a graph with the class boundaries on the horizontal axis and the frequencies on the vertical axis.

The different values and their frequencies are listed in a frequency distribution of qualitative data. We first divide the observations into Classes  in order to arrange the quantitative data, and we then treat the Classes as the individual values of the quantitative data.

Learn more about data at;

https://brainly.com/question/31132139

#SPJ4

missing part;

A. classes are mutually exclusive

B. classes are collectively exhaustive

C. the total number of classes usually ranges from 5 to 20

D. all of the above

The description of the motion of the ant which is a geometric series is as follows;

a) After covering 63/32 meters, the ant will have made 6 turns

b) The distance the ant will eventually travel is 2 meters

Geometric series is an infinite sum of terms in which the ratio between consecutive terms is a constant.

The distances traveled by the ant is a geometric progression of the form;

The sum of the distance is given by the sum of the geometric progression as follow;

\(S_n = \dfrac{a\cdot \left(1 - r^n \right)}{(1 - r)}\)

Where;

aₙ = The distance traveled in the nth turn

Sₙ = The sum of the distances

a = The first term = 1 meter

r = The value of the common ratio = 0.5 meter ÷ 1 meter = 0.5

a) The number of turns the ant will have made after covering a distance of 63/32 meters is therefore;

\(S_n =\dfrac{63}{32} = \dfrac{1\times \left(1 - 0.5^n \right)}{(1 - 0.5)}\)

31.5 = 32 × (1 - 0.5ⁿ)

32 × 0.5ⁿ = 32 - 31.5 = 0.5

0.5ⁿ = 0.5 ÷ 32

n = ln(0.5 ÷ 32) ÷ ln(0.5) = 6

b) The distance the ant travels eventually is given by the formula for the sum to infinity of a geometric progression as follows;

\(S_{\infty} = \dfrac{a}{1-r}\)

Which gives;

\(S_{\infty} = \dfrac{1}{1-0.5} = 2\)

The distance the ant eventually travels is 2 meters

Learn more about geometric series and progression here:

https://brainly.com/question/27027925

#SPJ1

Answer:

4+(n-1)*6=  -2n+4

Step-by-step explanation:

Answer:

4+(n-1)*6=  -2n+4

Step-by-step explanation:

pls brainliest i need 1 more to rank up I spent 5 minutes for this!

Our car can do 26 miles with one gallon, so, if we have 12.5 gallons, to find how much we can travel we need to make the product of the amount of gallons we have by the amount of milles we can do with one gallon, wich gives us the expression:

So our car can travel 325 miles with 12.5 gallons of gas.

Answer:

80

Step-by-step explanation:

-p(q-3)4  

We need to plug in our values and replace the variables. This makes the equation look like:

-2 (-7 - 3) x 4

1. -2 (-10) x 4: We focus on order of operations and complete the equation in the parentheses first.

2. 20 x 4: Then we multiply from right to left since there is no particular order in which we must do the same operation.

3. 80

Plug numbers into the expression :

p = 2

q = - 7

\(\sf{p(q-3)}\\2(-7-3)\\2(-10)\\-20\)

-20 (ans.)

#CarryonLearning!

The sample proportion of the random sample of 50 students is 64% or 0.64.

Given:

the college administrator was only able to survey a random sample of 50 students.

she finds that 32 of these students report having a full- or part-time job.

we are asked to determine the sample proportion = ?

Based on the given conditions, we formulate:

32÷50

simplify:

16/25

= 64% or 0.64

hence we get the required sample proportion.

Learn more about Sample proportion here:

brainly.com/question/24232216

#SPJ4

Answer:

140

Step-by-step explanation:

AEF and DFE are opposite interior angles, so they are equal to each other

you can set the equation to 2x + 60 = 3x + 20

subtract 2x from both sides: 60 = x + 20

subtract 20 from both sides: 40 = x

plug in the value of x to the equation for AEF: 2(40) + 60

you get AEF is 140

It will take 56 days for the lilypad to cover the entire pond. On day 28, the lilypad covers 1/2 of the pond, as we saw earlier.

The lilypad doubles in size each day, which means that if it covers a certain fraction of the pond on day n, it will cover twice that fraction on day n+1. In other words, if the lilypad covers 1/2^k of the pond on day k, then it will cover 1/2^(k-1) of the pond on day k+1.

If we let n be the number of days it takes for the lilypad to cover the entire pond, then we can say that on day n-28, the lilypad covers 1/2 of the pond (since on day n-28, the lilypad will be half the size of what it is on day n). Therefore, we want to solve for n-28 when the lilypad covers the entire pond, which is equivalent to the lilypad doubling in size 28 times:

1/2 * 2^28 = 2^(28-n+28)

Simplifying, we get:

2^(n-28) = 2^28

Taking the logarithm base 2 of both sides, we get:

n-28 = 28

Solving for n, we get:

n = 56

Therefore, it will take 56 days for the lilypad to cover the entire pond. On day 28, the lilypad covers 1/2 of the pond, as we saw earlier.

Learn more about "Fraction" : https://brainly.com/question/30154928

#SPJ11

the probability that 43 cars chosen at random will have a mean load weight x of less than 61.5 tons of coal is 0.5 (rounded to four decimal places).

We are given that we have to find the probability that 43 cars chosen at random will have a mean load weight x of less than 61.5 tons of coal. To solve this problem, we will use the central limit theorem, which states that the sample means will be normally distributed if the sample size is sufficiently large.

To find the probability, we will first standardize the variable using the formula z = (x - μ) / (σ / sqrt(n)), where x is the sample mean, μ is the population mean, σ is the population standard deviation, and n is the sample size.

We are given that the population mean is 61.5 tons of coal. Since we do not know the population standard deviation, we will use the sample standard deviation instead. We are also given that n = 43. Therefore, we have:

z = (x - 61.5) / (s / sqrt(43))

where s is the sample standard deviation.

We do not know the value of s, so we will estimate it using the range rule of thumb. The range rule of thumb states that the sample standard deviation is approximately equal to the range divided by 4. Therefore, we have:s ≈ (68.2 - 54.7) / 4 ≈ 3.375Plugging this into the formula above, we have:

z = (x - 61.5) / (3.375 / sqrt(43))

To find the probability that z is less than some value, we will use a standard normal table or calculator. Since we want to find the probability that x is less than 61.5, which corresponds to a z-score of 0, we have:

P(z < 0) = 0.5

To round the answer to four decimal places, we get:

P(x < 61.5) = 0.5 (rounded to four decimal places)

for more questions on probability

https://brainly.com/question/24756209

#SPJ11

Answer:

-2xy-z^2

Step-by-step explanation:

combine like terms

x^2-2xy-x^2-z^2

-2xy-z^2