Since f(3k) = 3k+7 (Equation 1)
We have to determine the value of f(x).
That is we have to replace 3k by x,
3k = x
Substituting the value of 3k in equation 1.
So, f(x) = x + 7
Therefore, f(x)=x+7 is the required function.
Jenny has $25 and she earns $10 for each lawn that she mows. Jenny wants to buy a concert ticket that costs $65.
Enter the minimum number of lawns Jenny needs to mow to be able to buy the concert ticket.
Jake has a teepee that is cone shaped it has a height of 9 feet and a diameter of 8 feet find the volume of the teepee in terms of Pi.
find the nonpermissible replacement for a in this expression 7/6a
how farare 27and -54 apart on the number line
How far are 27 and -54 apart on the number line?
Solution:
If we see on the number line , 27 is 27 units apart from 0 and it is 27 units to the right of 0
And, -54 is 54 units apart from 0 and it is 54 units to the left of 0. So, -54 is in opposite direction with respect to 27.
So, To find how far is 27 from -54 we must add 27 and 54
As, 27+54=81
So, -54 and 27 are 81 units away from each other.
Answer:81 units
Please see the number line attached.
Lisa has 1 set of 12 cars and she gives her sister 3cars. What fraction of Lisa's set did she give her sister
Question 2 Unsaved Cat is 5 less than twice Dog's age. Cat is 11 years old. Find Dog's age.
Let the dog's age be called x.
From the given statement, the following equation can be framed
Cat's age = 2*x -5
We are given to know that Cat's age is 11 years
So, we have:
11 = 2x -5
2x = 16
x = 16/2
x = 8
Dog's age = 8 years
Given: a = 640, A = 70°, B = 52° in triangle ABC ; find b. Round answers to the nearest whole number
Answer: 537
Step-by-step explanation:
Given: a = 640 A =70° B =52°
Whenever two angles and one side of a triangle is given, we can always use the sine formular to find the other side
Using the sine formula;
sin A / a = sin B /b
sin70° / 640 = sin 52° / b
cross multiply
bsin70° = 640sin52°
To get b, we divide bothside by
sin 70°
b = 640sin52° / sin 70°
b = 504. 327 / sin70°
b = 536. 693
b = 537 to the nearest whole number
a number cube is rolled 24 times.how many times will a number be less than tree be expected to be rolled?
The number of the times cube is rolled for getting less than three is 8.
What is probability?Probability is defined as the ratio of the number of favourable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.
Probability of getting less than three = 2 / 6 = 1 / 3
The number of the times cube rolled is,
Pn = ( 1 / 3 ) x 24 = 8
Therefore, the number of the times cube is rolled for getting less than three is 8.
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Write an Inequality for the following situation
No more than 8 books are in your bag
It says "No more than 8 books are in your bag". Here "Not more than" a specific number would be a set of all values that are "less than or equal" to given number.
So let's consider 'n' represents the number of books in the bag and we know this number can not be a negative value i.e. n is "greater than or equal" to 0.
Also n is "less than or equal" to 8 as given in the question.
Hence, the inequality would be 0 ≤ n ≤ 8.
factorise 36n(squared) divide by 25 minus 1
Answer:
[tex]( \frac{36n^{2} }{25} - 1) [/tex] factors to become [tex]( \frac{6}{5}n - 1)( \frac{6}{5}n + 1) [/tex]
Explanation:
The binomial [tex]( \frac{36n^{2} }{25} - 1) [/tex] is what is called a difference of two squares which can be identified by the equation being in the form (a² - b²) where both terms can be square-rooted.
Because the equation is a difference of two squares, its factors will be in the form: (a - b)(a + b).
With a² = [tex]\frac{36n^2}{25}[/tex] and b² = 1, we can find the square root of both and plug them into the above factor form.
√(36n² / 25) = 6n/5
√1 = 1
So the factors are [tex](\frac{6}{5}n -1)(\frac{6}{5}n +1)[/tex]
To estimate the percentage of all their customers that would buy a new flavor, an ice cream shop surveys the first five customers that place an order. Will this likely give an accurate estimate of this percentage? Select from the drop-down menus to correctly complete the statement:
This method is (blank) to give an accurate estimate of the percentage since it (blank) from a large enough randomly selected sample of customers.
The options for the first blank are:
A. Likely
B. Not likely
The options for the second blank are:
A. Used data
B. Did not use data
PLZ HELP!!!!!
If (tan^3 theta -1) / (tan theta - 1) - sec^2 theta +1 = 0, find cot theta.
a. -1 b.0 c. 1 d. sec theta
Answer:
Option A. [tex]cot\theta = -1[/tex]
Step-by-step explanation:
[tex]\frac{tan^{3}\theta -1}{tan\theta -1}-sec^{2}\theta +1=0[/tex]
we have to the value of [tex]cot\theta[/tex]
We further solve the equation
[tex]\frac{(tan\theta -1)(tan^{2}\theta +1+tan\theta )}{(tan\theta -1)}-sec^{2}\theta+1=0[/tex] [a³- b³= (a-b)(a² + b²+ ab)]
[tex]sec^{2}\theta +tan\theta -sec^{2}\theta +1=tan\theta +1=0[/tex]
[tex]\frac{1}{cot\theta }=-1[/tex]
[tex]cot\theta = -1[/tex]
Therefore Option A. [tex]cot\theta = -1[/tex] is the answer.
the slope of the containing the point (-2,3) and (-3,1) is
Help as soon as possible!!!!
Samantha measured two of the angles in PQR and found that they had measures of 65° and 70°. Then, she measured two of the angles in XYZ and found that they had measures of 65° and 45°. What statement best describes the two triangles?
Answer:
D: The two triangles may be congruent, but additional information is needed about the sides of each triangle.
Step-by-step explanation:
Got in right on Edge
a circle has an area of 81 3.14 units . what is the diameter in terms of 3.14a circle has an area of 81 Pi square units what is the diameter of the circle
Answer:
18 units
Step-by-step explanation:
[tex]\pi r^2=81\pi[/tex]
Solve for [tex]r[/tex]:
[tex]\pi r^2=81\pi \\r^2=81\\r=9[/tex]
Knowing diameter is 2*r, we can apply the formula to find diameter
[tex]d=2*r\\d=2*9\\d=18[/tex]
PLEASE HELP! @) POINTS
Describe the relationship between the probability of an event and its complement. If the probability of an event is 0.3, what is the probability of its complement?
1. The probability P of an event and its complement P' are mutually exclusive and add up to 1
2. If the probability of an event is 0.3, then the probability of its complement is 0.7. (1 - 0.3 = 0.7)
PLEASE HELP..... I WILL GIVE BRAINLIEST!!
The base of a triangular prism is an isosceles right triangle with a hypotenuse of
√50 centimeters. The height of the prism is 8 centimeters. Find the surface area of the triangular prism. Round your answer to the nearest tenth.
the mean temperature during the winter in the arctic tundra is -34°c. you can convert degrees celsius to degrees fahrenheit by using the formula f=9/5c+32. what is the mean temperature in degrees fahrenheit?
an equation of the horizontal line that passes through the point (-2,5)
y = 5 is the equation of the horizontal line that passes through the point (-2,5).
Mathematically, an equation is a statement that two expressions are equal. The expressions on either hand of the equals sign are termed the left-hand side and the right-hand side of the equation. The equals sign is perused as" is equal to" or" equals".
An equation comprises variables, numbers and comparison sign.
As the ordinate of the given point is 5 then y = 5 is the horizontal line that passes through (-2,5).
Thus, the equation that passes through the point (-2,5) and is the horizontal line is y = 5.
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if f(x)=8x+6, what is f(-1)
HELP PLZ; 20 POINTS
At a fair, each person can spin two wheels of chance. The first wheel has the numbers 1, 2, and 3. The second wheel has the letters A and B. (a) List all the possible outcomes of the compound event. (b) If you spin both wheels, what is the probability that you get either a 1 or an A? Explain. Answer:
(a) All the possible outcomes of the compound event are {(1, A), (1, B), (2, A), (2, B), (3, A), (3, B)}
(b) Probability is 2/3.
What is Probability?Probability is simply the possibility of getting an event. Or in other words, we are predicting the chance of getting an event.
Given that,
At a fair, each person can spin two wheels of chance.
The first wheel has the numbers 1, 2, and 3.
The second wheel has the letters A and B.
(a) 1 can be followed by A and B, 2 can be followed by A and and B and so is 3.
Possible outcomes = {(1, A), (1, B), (2, A), (2, B), (3, A), (3, B)}
(b) Total possible outcomes = 6
Number of outcomes which has either 1 or A = 4
Probability = 4/6 = 2/3
Hence the required probability is 2/3.
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While bowling with friends, Brandy rolls a strike in 5 out of 10 frames. What is the experimental probability that Brandy will roll a strike in the first frame of the next game? Enter your answer as a simplified fraction.
The experimental probability of Brandy rolling a strike in the first frame of the next game is 1/2.
Explanation:To find the experimental probability that Brandy will roll a strike in the first frame of the next game, we need to divide the number of times Brandy rolled a strike in the first frame by the total number of frames. In this case, Brandy rolled a strike in 5 out of 10 frames, so the experimental probability is 5/10, which simplifies to 1/2.
the sum of four times a number and 17 is 33. Find the number, please? I really need help!!
Hector has a $5 off coupon at Brenda's Bagels. Bagels cost $8.99 per dozen. Write an equation that models the total amount of money (y) Hector owes if he buys (x) dozen bagels.
Marie draws a marble out of a bag. It is either red or green. She records the color and then puts the marble back in the bag.
She repeats this process 80 times to get the following results:
Red:30
Green : 50
Because Marie knows that there are 5 marbles in the bag she knows that the probability of choosing a red marble must be either 1/5,2/5,3/5,4/5, or 5/5. Based on her data which of these models is most probable?
*THIS QUESTION IS WORTH 30 POINTS*
Answer:
2/5 thx for the points
Step-by-step explanation:
A cylinder shaped drum is used to store used motor oil. The drum has a height of 3 ft and a radius of 1.5 ft
HELP PLEASE AND ANSWER WITH STEPS thank you so much
The equation above shows how temperature F, measured in degrees Fahrenheit, relates to a temperature C, measured in degrees Celsius. Based on the equation, which of the following must be true?
1 A temperature increase of 1 degree Fahrenheit is equivalent to a temperature increase of 5 9 degree Celsius.
11 A temperature increase of 1 degree Celsius is equivalent to a temperature increase of 1.8 degrees Fahrenheit.
111 A temperature increase of 5 9 degree Fahrenheit is equivalent to a temperature increase of 1 degree Celsius. A) I only B) II only C) III only D) I and II only
y=mx+b
where in this case
C=
59(F−32)or
C=
59F−59(32)You can see the slope of the graph is
59, which means that for an increase of 1 degree Fahrenheit, the increase is 59 of 1 degree Celsius.C=
59(F)C=
59(1)=59Therefore, statement I is true. This is the equivalent to saying that an increase of 1 degree Celsius is equal to an increase of
95 degrees Fahrenheit.C=
59(F)1=
59(F)(F)=
95Since
95 = 1.8, statement II is true.The only answer that has both statement I and statement II as true is D, but if you have time and want to be absolutely thorough, you can also check to see if statement III (an increase of
59 degree Fahrenheit is equal to a temperature increase of 1 degree Celsius) is true:C=
59(F)C=
59(59)C=
2581(whichis≠1)An increase of
59 degree Fahrenheit leads to an increase of 2581, not 1 degree, Celsius, and so Statement III is not true.The final answer is D.