You have two exponential functions. One function has the formula g(x) = 5 x . The other function has the formula h(x) = 5-x . Which option below gives formula for k(x) = (g - h)(x)?
k(x) = 10x
k(x) = 5x + 5-x
k(x) = 5x - 5-x
k(x) = 2(5x)
g(x) = 5x
h(x) = 5 - x
k(x) = (g - h)(x)
k(x) = g(x) - h(x)
k(x) = 5x - (5 - x)
Hence, the correct option is k(x) = 5x - 5-x
(2-9i)+(-2+7i) complex numbers simplify
[tex] (2-9i)+(-2+7i)=-2i [/tex]
The function rule for the following graph is y = 2x + 2. What is the value of y in the ordered pair (2, y)? 24 4 10 6
Answer:
The correct answer is 6.
Step-by-step explanation:
I just did this question as well and 6 was the correct answer. Hope this helped :)
A recent poll taken by the movie theatre industry shows that 28% of the population attends a movie in a theater at least once a month. A sample of 300 people shows that only 12% of people attends a movie in a theater at least once a month. To determine whether this sample supports the population proportion of 0.28, a simulation of 100 trials is run, each with a sample size of 200 and a point estimate of 0.12. The minimum sample proportion from the simulation is 0.10, and the maximum sample proportion from the simulation is 0.28. What is the margin of error of the population proportion using half the range?
Answer:
The margin of error for this population proportion using half the range = ±0.09
Step-by-step explanation:
Confidence Interval is basically an interval of range of values where the true proportion can be found with a certain level of confidence.
Margin of Error is the width of the confidence interval about the central proportion.
For this question, the minimum sample proportion from the simulation is 0.10, and the maximum sample proportion from the simulation is 0.28, hence, the confidence interval for the question is (0.10, 0.28).
The width of this confidence interval = (Upper limit of the interval) - (Lower limit of the interval) = 0.28 - 0.10 = 0.18.
Hence, the margin of error for this population proportion using half the range, is 0.18/2 = 0.09.
Written appropriately as ±0.09.
Hope this Helps!!!
what is the square root of 50 to the nearest tenth
Describe the effect on the SURFACE AREA of multiplying the dimensions by 1/5.
A small submarine starts at –1,260 feet in relation to sea level. Then it descends 5 feet per minute for 12 minutes. What is the new position of the submarine in relation to sea level? –1,260 + (–5)(12) = –1,260 + 60 = –1,200
The new position of the submarine in relation to sea level is -1,200 feet.
Your calculation is correct. To find the new position of the submarine in relation to sea level after descending at a rate of 5 feet per minute for 12 minutes, you can use the formula:
New position = Initial position - (Rate of descent * Time)
In this case:
New position = -1,260 feet - (5 feet/minute * 12 minutes)
= -1,260 feet - 60 feet
= -1,200 feet
So, the new position of the submarine in relation to sea level is -1,200 feet.
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The equation y – 9 + 9 = –17 + 9 is an example of which property of equality?
A.Substitution Property of Equality
B.Addition Property of Equality
C.Reflexive Property of Equality
D. Symmetric Property of Equality
Answer:
addition property of equality
Step-by-step explanation:
The equation y – 9 + 9 = –17 + 9 is an example of which property
A.Substitution Property of Equality:
In this property we substitute some particular value for the variable.
B.Addition Property of Equality
This property states that when we add any number to one sides of the equation we do the same on the other side
y – 9 + 9 = –17 + 9
In the equation , 9 is added on both sides of the equation. So it is an example of addition property of equality
C.Reflexive Property of Equality
Reflexive property states that the number is equal to itself
D. Symmetric Property of Equality
It states that if a=b then b=a
Factor completely; 100-9x^2
Answer:
(10 - 3x)(10 + 3x)
Explanation:
This type of question yields what is called a difference of squares, which is recognizable because of the subtraction (-) operation between the two terms of the binomial. When questions like this are seen, the formula for difference of squares can be implemented. This formula is:
(a² - b²) = (a - b)(a + b)
With this, we can square root both terms of the original binomial and plug our variables for a and b into the formula.
Let 100 = a², let 9x² = b²
√(100) = 10
√(9x²) = 3x
Those values are now a and b, respectively, so when we place them in their spots in the formula, the completed factoring is: (10 - 3x)(10 + 3x)
To check this answer for accuracy, we can use the FOIL method and combine like terms to see if it gives us the original equation. FOIL stands for Firsts, Outsides, Insides, and Lasts, instructing us which terms should be multiplied together so:
Firsts: 10(10) = 100
Outsides: 10(3x) = 30x
Insides: -3x(10) = -30x
Lasts: -3x(3x) = -9x²
We place them in the same equation and combine like terms:
100 + 30x - 30x - 9x²
100 + 0 - 9x²
100 - 9x²
We are back to our original equation so the answer of (10 - 3x)(10 + 3x) is accurate.
If the height of your he sailboat is 3 centimeters, what is the height in meters, of the actual boat
Find the coordinate that divides the directed line segment from A(-2,-4) to B(8,1) in the ratio of 2 to 3
Data Set 1 has a mean of 84 and a MAD of 6. Data Set 2 has a mean of 78 and a MAD of 8. What can be concluded about the two distributions?
Select each correct answer.
A. The distributions are somewhat similar.
B. The means-to-MAD ratio is 1.
C. The means-to-MAD ratio is 0.75.
D. The distributions are similar.
Answer: The actual answers are: "The distributions are similar." & "The Means-to-MAD ratio is 0.75." I took the same test and got it right. I hope this helps anyone reading this. :D Thanks!
~H*****
Answers are C. The means-to-MAD ratio is 0.75. and D. The distributions are similar. hope it helps
8182÷k=1363.6666667
A- 9
B-2
C-6
What is the smallest 9 digit number ni the form, aaa,aaa,aaa such that is divisible by 9??
Plz help!!
The smallest 9-digit number in the form aaa,aaa,aaa that is divisible by 9 is 111,111,111 because the sum of its digits is 9, which follows the divisibility rule for 9.
To find the smallest 9-digit number in the form aaa,aaa,aaa that is divisible by 9, we need to use the divisibility rule for 9. A number is divisible by 9 if the sum of its digits is also divisible by 9. Since we are looking for the smallest such number, we start with the smallest non-zero digit, which is 1.
The smallest 9-digit number where all digits are the same would be 111,111,111. Adding all the digits together, 1+1+1+1+1+1+1+1+1 equals 9, which is divisible by 9. Therefore, 111,111,111 is the smallest 9-digit number of the form aaa,aaa,aaa that is divisible by 9.
What is the product of the two solutions from the quadratic formula?
At a local used car lot, one out of every three cars is red. If the car lot had 54 cars on it, how many cars are red SHOW WORK PLZ
To determine how many cars in the lot are red, we need to find one-third of the total number of cars. In this case, we are told that one out of every three cars is red, so the probability of a randomly chosen car being red is 1/3. The calculation is: Number of red cars = 54 * (1/3) = 18 cars.
Explanation:To determine how many cars in the lot are red, we need to find one-third of the total number of cars. In this case, we are told that one out of every three cars is red, so the probability of a randomly chosen car being red is 1/3.
To calculate how many cars out of 54 are red, we can multiply the total number of cars by the probability of a car being red:
Number of red cars = 54 * (1/3) = 18 cars
Therefore, there are 18 cars that are red in the lot.
Part a) What do you know that will help you set up the equation to solve this problem?
Part b) Write the equation that allows you to solve for the height.
Part c) What is the height of the trapezoid (including units)
The price for a parakeet at Lydia's Pet World is $9.99. If you buy a cage and birdseed, the price decreases to $4.25. About what is the percent decrease in price if you buy a cage and birdseed?
you are about take an 8 question multiple choice test .each of these questions has 4 answers (A,B,C,D). how many ways can you answer the test if you leave an answer for each question
[tex] 4^8=65536 [/tex]
4^8 = 65536 answer is correct
I NEED HELP I WILL GIVE BRAINLEST!!!!!!!!!!!
please help the temperature in degrees fahrenheit can be estimated by counting the number of times a cricket chirps in one minute write an algebraic expression for the following written expression
the number of chirps divided by 4 added to 37
Adam is making a rectangular frame. The frame is 24.2 feet long and 16.25 feet wide.
The formula for the area of a rectangle is A=bh.
What is the area of the frame?
Enter your answer as a decimal in the box.
(__ ft2
Different sizes of ribbon need to be cut to go around various shapes. All of the following sizes are in inches. π , √5 ,√8 ,2√5
(a)Without using your calculator, approximate the decimal equivalent of each number to the nearest tenth.
(b)Order the ribbon sizes from least to greatest. Use the original numbers given.
Can someone help with this please??
Which word is an antonym for the word thrive?
Jasper knew we was going to thrive in his new school
A) fail
B) learn
C) worry
D) be busy
The antonym for the word thrive would be A. Fail Hope this helps :)
The required antonym for the word thrive is fall. Option A is correct.
The word "thrive" means to prosper, succeed, or flourish. Therefore, the antonym for "thrive" would be a word that represents the opposite, such as "fail." When someone fails, they do not achieve success or prosper in their endeavors. In the given sentence, Jasper is confident that he will thrive in his new school, indicating that he expects to do well and succeed. Choosing the word "fail" as the antonym creates a clear contrast, as it represents the opposite outcome of not being able to thrive or achieve success.
Thus, the requried antonym for the word thrive is fall. Option A is correct.
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In two or more complete sentences, compare the number of x-intercepts in the graph of f(x)=x^2 to the number of x-intercepts in the graph of g(x)=-x^2. Be sure to include the transformations that occurred between tye parent function f(x) and its image g(x)
I don’t know I need help fast
What is 98765+009225=
Are the following figures similar? Rectangles ABCD and EFGH are shown. AB equals 5. BC equals 25. EF equals 3. FG equals 15. Yes; the corresponding angles are congruent No; the corresponding angles are not congruent Yes; the corresponding sides are proportional No; the corresponding sides are not proportional
The correct answer among all the choices is C) Yes; the corresponding sides are proportional. This is the correct answer because the corresponding sides have a similar relationship of 1:5. We can see this relationship when dividing 25 by 5 & dividing 15 by 3, since their both equal to 5, we know the figures are similar. I hope I answered this question to your satisfaction. Have a good day!
Answer:
Yes; the corresponding sides are proportional
Step-by-step explanation:
If two figures are similar, the lengths of their sides are proportional. This means if we set up a proportion with the sides we are given and cross-multiply, we get a true statement at the end of it.
Using the similarity statement ABCD~EFGH, we will compare AB to EF and BC to FG:
5/3 = 25/15
Cross multiply:
5(15) = 3(25)
75 = 75
We got a true statement, so the sides are proportional.
John's dog weighted 7 pounds when we got him. The dog's weight tripled each year for two years. How many ounces does John's dog now weigh?