Answer:
x = 6
Step-by-step explanation:
As the function f(x) is an exponencial function, it will grow faster than g(x), that is a linear function.
For small values of x, we have that f(x) < g(x). For example:
f(1) = 1/2 * 2 = 1
g(1) = 5*1 + 2 = 7
f(2) = 1/2 * 4 = 2
g(2) = 5*2 + 4 = 14
So we just need to check some integer values and see when f(x) will be bigger than g(x). It will not be a big value, as the exponencial function grows very fast.
For x = 5, we have:
f(5) = 1/2 * 32 = 16
g(5) = 5*5 + 4 = 29
For x = 6, we have:
f(6) = 1/2 * 64 = 32
g(6) = 5*6 + 4 = 34
For x = 7, we have:
f(7) = 1/2 * 128 = 64
g(7) = 5*7 + 4 = 39
So the largest integer value of x for f(x) ≤ g(x) is x = 6.
Another way to solve this is by plotting both equations, and then checking where they cross, that is, where f(x) = g(x).
Answer:
x = 6
Step-by-step explanation:
We assume your functions are ...
f(x) = (1/2)(2^x)g(x) = 5x+2In general, mixed polynomial and exponential functions have no algebraic solution. That means we need to solve f(x) = g(x) using a table of values, or by graphing.
__
Attached is a graphical solution. It shows the largest value of x for which f(x) = g(x) is x=6.
Check: f(6) = 1/2(2^6) = 32 = g(6) = 5(6) +2
__
Additional comment
We can start with f(x) = g(x) and subtract g(x) from both sides of the equation. This gives ...
f(x) -g(x) = 0
Many graphing calculators readily identify the zeros of a function or expression. We have used that fact to find the two values of x where these functions are equal: ≈0.32 and 6.
For x>6, the exponential function increases without bound, so the graphs never cross again. Likewise, for x < -0.32, the linear function decreases without bound, so the graphs never cross again.
The lower value of x where the graphs cross is an irrational number near −0.319886722135.
The correlation coefficient quantifies the relationship between two variables. This relationship is determined by the degree at which the dependent variable is affected by the value of the independent variable. In real life, why is there a need to quantify relationships and a need to know how to quantify relationships?
Answer:
When biomedical engineers work within a hospital or clinic, they are more properly called clinical engineers.
Need help on question 17
Answer:
x = - 1 or 1 or -4 or 4
Step-by-step explanation:
x^4 - 17x^2 + 16 = 0
let y = x^2
y^2 -17y + 16 = 0
(y-16)(y-1) = 0
y = 16 or y = 1
x^2 = 16 or x^2 = 1
x^2 = 16: x = 4 or -4
x^2 = 1: x = 1 or -1
A store donated 2 1/4 cases of crayons to a daycare. Each case holds 24 boxes of crayons; each box holds eight crayons. How many crayons did the center receive?
Answer:
432 crayons
Step-by-step explanation:
24/4=6
24+24+6=54
54*8=432
The wholesale price for a desk is $199. A certain furniture store marks up the wholesale price by 24%. Find the price of the desk in the furniture store.
Round your answer to the nearest cent, as necessary.
Answer:
246.76$
Step-by-step explanation:
199 x .24 =
47.76
199 + 47.76 =
246.76
Help me please. I need the answer and method of how you got your answer asap.
Answer:
60 degrees
Step-by-step explanation:
a straight line is equal to 180 degrees. 180 - 120 = 60 degrees for x
Answer:
60 degrees
Step-by-step explanation:
both big angles are 120. 12x2=240, 360-240=120, half 120= 60.
What's the answer to this?
Answer:
Q' = (-4, -2)
R' = (4, -2)
S' = (4, 2)
T' = (-4, 2)
Step-by-step explanation:
First, we can create a matrix to scale this rectangle by putting all the x coordinates in the top row and all the y coordinates in the bottom row and multiply it by 4.
Our initial matrix to multiply:
[tex]4\left[\begin{array}{cccc}-1&1&1&-1\\-2&-2&-1&-1\end{array}\right][/tex]
Moved to the origin:
[tex]4\left[\begin{array}{cccc}-1&1&1&-1\\-0.5&-0.5&0.5&0.5\end{array}\right][/tex]
Multiplied by four:
[tex]\left[\begin{array}{cccc}-4&4&4&-4\\-2&-2&2&2\end{array}\right][/tex]
This gives us the points of
Q' = (-4, -2)
R' = (4, -2)
S' = (4, 2)
T' = (-4, 2)
which are our answers.
PLEASE HELP WILL MARK BRAINLIEST
Answer:
a 120 degree angle is 90 (right angle) + 30 (an acute angle)
When multiplying two matrices does AB = BA?
Answer:
AB = BA
Step-by-step explanation:
In general, AB = BA, even if A and B are both square. If AB = BA, then we say that A and B commute. For a general matrix A, we cannot say that AB = AC yields B = C. (However, if we know that A is invertible, then we can multiply both sides of the equation AB = AC to the left by A−1 and get B = C.)
PLEASEEEEEE HELP ASAP
Answer:
27% is the answer
And goodluck
Please help with this easy problem for 30 points!!!
Answer:
x^3 + 3x^2 - 10x
Step-by-step explanation:
(x - 0)(x - 2)(x + 5)
= (x^2 - 2x)(x + 5)
= x^3 + 5x^2 - 2x^2 - 10x
= x^3 + 3x^2 - 10x
What’s the answer????
A disadvantage of the Harvard step test is:
A. it is not accurate.
B. it requires too much equipment.
C. it is difficult to find the heart rate easily.
D. it is difficult to administer.
D) it is difficult to administer.
Step-by-step explanation:
Harvard step, main aim is to measure cardiovascular endurance. It is difficult to administer as, it creates problems while identity the cardio endurance of tall and short person.Convert the following angle from degrees to radians. Express your answer in simplest form 345 ∘
well, since we know that there are 180° in π radians, how many degrees will it be in 345°?
[tex]\begin{array}{ccll} degrees&radians\\ \cline{1-2} 180&\pi \\ 345&x \end{array}\implies \cfrac{180}{345}~~ = ~~\cfrac{\pi }{x}\implies \cfrac{12}{23}~~ = ~~\cfrac{\pi }{x} \\\\\\ 12x=23\pi \implies x=\cfrac{23\pi }{12}[/tex]
Use Statistics to make an argument to the court on behalf of your client. Structure your essay as a paragraph that contains the following:
Your Honor,
Explain why random sampling in this situation of juror selection relates the expected sample proportion to the population proportion.
Compare the expected value to the actual sample proportion.
Show that the requirements for a binomial experiment are met in this situation, implying that the binomial distribution can be used.
Identify the values for n,p, and x for this situation
Interpret the answers to parts c. and d. and submit them as evidence.
Use this to argue that the juror selection was likely to be random or not likely to be random (depending on your answer to part c).
Request a new jury be selected or accept the selected jury (depending on your answer to part c)
Respectfully,
[Your Name]
In explaining of the random sampling situation, you tell the jury that Random sampling is a kind of sampling technique where all sample has an equal right or probability to be chosen.
What is random sampling example?An example of a simple random sample would be the names of 30 employees were chosen out of a box from a company of 300 employees. In this above scenario, the population is all 300 employees, and the sample is random based on the fact that each employee do possess an equal chance of been selected.
By using the example of the argument given above to convince the juror about why the selection is said to be likely to be random.
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Select ALL the true statements about the scatter plot below.
A. The graph shows a linear association
B. The graph has no outliers
C. The graph shows a nonlinear association
D. The graph shows a positive association
E. The graph could be used to show an association between the hours worked and the amount earned
A scatter plot is a form of plot or mathematical diagram that displays values for two variables for a collection of data using Cartesian coordinates. The true statements are A, D, and E.
What is a scatter plot?A scatter plot is a form of plot or mathematical diagram that displays values for two variables for a collection of data using Cartesian coordinates. One more variable can be presented if the points are programmed.
The following points about the scatter plot are true,
A. The graph shows a linear association
As there can be drawn a line between the two axes of the graph, and this line will give the approximate values, therefore, the graph shows a linear association. Thus, the statement is true.
B. The graph has no outliers
The graph has an outlier lying at the bottom right of the graph. Thus, the statement is False.
C. The graph shows a nonlinear association
As the graph has a linear association, it can not have a non-linear association. Thus, the statement is False.
D. The graph shows a positive association.
As the slope of the imaginary line is positive, the graph shows a positive association. Thus, the statement is true.
E. The graph could be used to show an association between the hours worked and the amount earned.
The above situation can be depicted by the given graph. Thus, the statement is true.
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1. What is the surface area of the composite figure?
4 ft
8 ft
3 ft
2 ft
6 ft
Answer:
c. 132
Step-by-step explanation:
find the area for each space than add them for sa
a = l x w
sa = a
Spencer tells you the repair will be $70.00 plus $32.50 per ½ hr. or
part of an hour. Calculate the cost for Spencer's repair job
Answer:
If it doesn't tell you how long Spencer's repair took, it would just be 70+32.50 which equals $102.50
Customers at the restaurant have to wait an average of 25 minutes before they receive their meal
from the time their order was placed. Assume these waiting times are normally distributed with a
standard deviation of 5 minutes.
Question: What is the maximum waiting time for a customer to receive her meal if she is in the 10% of
customers who receive their meals in the fastest time from when the order was placed?
Answer: the required time is 18.6 minutes.
Step-by-step explanation:
It typically takes 10–15 mins in most of the restaurants however, it also depends on the type of food you've ordered + the time you're visiting (peak time, weekends, etc).
The time may go high if the quantity ordered is more & different variety of food is ordered. 10–15 mins is typically for 2 people visiting a restaurant for lunch or dinner.
Restaurants which have high focus on customer service ensures they have sufficient staff & ingredients available during their peak hours so that wait time is minimal.
Small restaurants where customer only comes for tasty food (because they're famous) & have high number of customers visiting may at times take a longer time to deliver as they have many customers to attend and usually have less staff.
Hope this is helpful.
6. Find the value of the variable that results in congruent triangle
7. if you want to help with this one
Answer:
If you looking for what two variables your looking for the make both of them congruent it would be e and g and then k and f im not sure if thays the answear your looking for hope this helps.
Solve the following system of equations using the elimination method.
5x + y = 9
–10x + 7y = 18
[tex]\large{\underline{\underline{\pmb{\frak {\color {blue}{Answer:}}}}}}[/tex]
5x + y = 9
- 10x + 7y = 18 [tex]\rightarrow[/tex] (ii)
Now, multiplying "5x + y = 9" by 2 we get,
10x + 2y = 18[tex]\rightarrow[/tex] (i)
Now, using Elimination method.
So, we gotta subtract Equation (i) from Equation (ii)
Equation (i) - (ii)
[tex](10x + 2y) - ( - 10x + 7y) = 18 - 18 \\ \\ \implies \: 10x + 2y + 10x - 7y = 0 \\ \\ \implies \: \cancel{10x} + 2y + \cancel{10x} - 7y = 0 \\ \\ \implies - 5y = 0 \\ \\ \implies \: y = 5[/tex]
So, the value of "y" is 5. Now we gonna put the value of "y" in Equation (i).
[tex]10x + 2y = 18 \\ \\ \implies \: 10x + 2 \times 5 = 18 \\ \\ \implies10x + 10 = 18 \\ \\ \implies10x = 18 - 10 \\ \\ \implies10x = 8 \\ \\ \implies \: x = \frac{8}{10} \\ \\ \implies \: x = \cancel{ \frac{8}{10}} \\ \\ \implies \: x = \frac{4}{5} \\ \\ \implies \: x = 0.8[/tex]
So, at the we've found the values of "x" and "y".
x = 0.8 and y = 5
[tex] \boxed{ \frak \pink{Be \: Brainly}}[/tex]
Gunner is racing his motorcycle. He has raced for 45 minutes. If he has completed 15% of his race, how many minutes will he race in all?
Answer:
300
Step-by-step explanation:
45 minutes is 15% of x
45 = 0.15x
0.15x = 45
x = 45/0.15
x = 300
Answer: 300
Passes through the point (0,6) and has a slope of -2/3
Answer:
[tex]y=-\frac{2}{3}x + 6[/tex]
Step-by-step explanation:
We are given that a line has a slope of -2/3 and passes through the point (0,6)
We want to write the equation of this line; there are 3 forms of the line that we can use:
Slope-intercept form, which is y=mx+b, where m is the slope and b is the y interceptStandard form, which is ax+by=c, where a, b, and c are free integer coefficients, but a and b cannot be 0, and a cannot be negativeSlope-point form, which is [tex]y-y_1=m(x-x_1)[/tex], where m is the slope and [tex](x_1, y_1)[/tex] is a pointAll though while writing the equation of the line in any of these ways is acceptable, the most common way is to write it in slope-intercept form, so let's do it that way.
As we are already given the slope, we can immediately substitute m with that value.
Replace m with -2/3:
y = -2/3x + b
Now we need to find b.
As the equation passes through the point (0, 6), we can use it to help solve for b.
Substitute 0 as x and 6 as y.
6 = -2/3(0) + b
Multiply
6 = 0 + b
Add
6 = b
Substitute 6 as b.
y = -2/3x + 6
Topic: finding the equation of the line
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Order these numbers from least to greatest.
8.461, 169/20, 8 6/11, 8.49
Hurry please
Answer:
169/20, 8.461, 8.49, 8 6/11
Step-by-step explanation:
You can convert all of them to decimals. 169/20 = 8.45 and 8 6/11= 8.545. Then you order the from least to greatest.
Tess says this shape is a rhombus. Jack says the shape is a square. Who is correct? Use the drop-down menus to explain who is correct.
Click the arrows to choose an answer from each menu.
The above shape is a quadrilateral and its a square. Therefore, Jack is correct.
What is a quadrilateral?A quadrilateral is a 2 dimensional figure with 4 sides.
Examples of quadrilaterals are rhombus , square, rectangle, parallelogram etc.
A rhombus is a quadrilateral with 4 sides same length. The angles of rhombus are not right angles.
A square is a quadrilateral with 4 sides same length and 4 square corners that a right angles.
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The radius of the earth is 6.371 X 10^3 km. Write the value of this scientific notation and express the radius in words.
Answer:
6371. six thousand three hundred and seventy-one
Suppose a plumber charges $80 for a house call and $60 for each hour it takes him to complete the repair. Write an equation in slope-intercept form to represent this situation.
Answer:
80 + 60x
Step-by-step explanation:
Five marbles labeled 1 through 5 are placed in a bag. A marble is randomly pulled and the number is recorded before the marble is placed back in the bag. The results of the simulation of 20 marble pulls are shown in a dot plot. Which dot plot models an unfair data generating process?
Answer:
C
Step-by-step explanation:
Since having 1 and 5 as the most likely result is highly unlikely, the answer being 7 points on both numbers would be unfair resulting in C being the answer.
The following table represents the highest educational attainment of all adult residents in a certain town. If a resident who is 30-49 years old is chosen at random, what is the probability that they have completed a master's degree? Round your answer to the nearest thousandth.
Answer:
The required Probability =0.433
Step-by-step explanation:
number of residents who has master degree =2078
number of residents who has master degree and age group 30-49years= 455+ 445=900
900/2078
=450/1039
=0.43310
I need help with question number one and an explanation.
Answer:
4π
Step-by-step explanation:
Formula for length of an arc is 2πr(θ/360) with r being the radius and θ being the angle of the arc
2πr is the circumference of the circle and (θ/360) is the fraction of the circle the arc is
The angle of arc AB is 120° and the radius is 6
Now we can use substitution in the formula
2πr(θ/360)
2π(6)(120/360)
12π(1/3)
4π
That is the answer goodbye
- Kan Academy Advanced
Tanika drew a line of best fit on a scatter plot as shown below
Answer:
C. she forgot the minus sign for the first term on the right side of the equation.
Step-by-step explanation:
Tanika's work: 1.02(0.5)+7.09 = y
y = 7.6
She's missing the negative sign before 1.02. Her equation should have been -1.02(0.5)+7.09 = y
y = 6.58