Given what you have learned about inverse functions, what can you say about the functions y = 2^x and y = log 2 X.
Answer:
[tex] log(2x) = {2}^{x} \\ ln \: \times log = ln( {2}^{x} ) \\ 1 = x ln(2) \\ x = \frac{1}{ ln(2) } [/tex]
2(x-3)-5 equal to or less than 9
Answer:
x ≤ 10
Step-by-step explanation:
2x-6-5 ≤ 9
2x-11 ≤ 9
2x ≤ 20
x ≤ 10
Irene knows there are 2 cups in 1 pint. She writes the equation c=2p to find the number of cups, c, in any number of pints, p. Use the drop-down menus to complete the statements about Irene's equation.
Answer:
See Explanation
Step-by-step explanation:
The question is incomplete, as there are no options to select from.
However, a general explanation is as follows.
Given
[tex]2\ cups = 1\ pint[/tex]
Required
Is [tex]c = 2p[/tex] a correct expression?
Let
[tex]c = cups[/tex]
[tex]p = pint[/tex]
So:
[tex]2\ cups = 1\ pint[/tex]
becomes
[tex]2 * c = 1 * p[/tex]
[tex]2c = p[/tex]
Divide both sides by 2
[tex]c =\frac{1}{2}p[/tex]
Hence:
[tex]c = 2p[/tex] is incorrect
What fraction of all the 10-digit numbers with distinct digits have the property that the sum of every pair of neighboring digits is odd?
Answer:
1/126
Step-by-step explanation:
Answer attached, I hope this is the answer.
the sum of every pair of neighboring digits is odd must be odd number and even number in the neighbor. (different parity)
The fraction of all the 10-digit numbers with distinct digits that have the property that the sum of every pair of neighboring digits is odd is 1/126.
What is a fraction?A fraction is written in the form of a numerator and a denominator where the denominator is greater that the numerator.
We have two types of fractions.
Proper fraction and improper fraction.
A proper fraction is a fraction whose numerator is less than the denominator.
An improper fraction is a fraction where the numerator is greater than the denominator.
Example:
1/2, 1/3 is a fraction.
3/6, 99/999 is a fraction.
1/4 is a fraction.
We have,
For a 10-digit number to have the property that the sum of every pair of neighboring digits is odd, the digits must alternate between odd and even numbers.
Specifically, if the first digit is odd, then the second digit must be even, the third digit must be odd, the fourth digit must be even, and so on.
If the first digit is even, then the second digit must be odd, the third digit must be even, the fourth digit must be odd, and so on.
There are 5 odd digits and 5 even digits, so there are 5 choices for the first digit. After selecting the first digit, there are 5 choices for the second digit (it must be one of the other type), 4 choices for the third digit (it must be the opposite type of the second digit), 4 choices for the fourth digit (it must be the opposite type of the third digit), and so on.
Therefore, the number of 10-digit numbers with distinct digits that have the given property is:
5 x 5 x 4 x 4 x 3 x 3 x 2 x 2 x 1 x 1 = 5! x 4!
where the factorials arise from the number of choices for each digit.
The total number of 10-digit numbers with distinct digits is:
10 x 9 x 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1 = 10!
Therefore, the fraction of all the 10-digit numbers with distinct digits that have the given property is:
(5! x 4!) / 10! = (5! x 4!) / (10 x 9 x 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1) = 1/126
Thus,
The fraction of all the 10-digit numbers with distinct digits that have the property that the sum of every pair of neighboring digits is odd is 1/126.
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PLEASE SUPER PLEASE HELP
please help !! Will mark brainliest
- NO links and files please.
5 is 1/2 of what number?
Answer:
10
Step-by-step explanation:
10/2=5
Answer:
10?
Step-by-step explanation: 5 time 2 is 10
Quick! worth 20 points use the net to determine the lateral surface area
Answer:
i think it is 60 cm2
Step-by-step explanation:
Jessica has a coupon for 20% off the original price of
her purchase.
When she gets to the checkout counter, the employee
notifies her that they are going to take an additional
15% off the already reduced price.
What is the final price of a pair of sneakers that
originally cost $140?
Answer: $95.20
Step-by-step explanation:
140 * .2 = 28
140 - 28 = 112
112 * .15 = 16.8
112 - 16.8 = 95.2
Answer:
95.2
Step-by-step explanation:
hope it helps. that's the least I could do if it's not correct please tell me.
-2 3/4 ? -2 2/3
-0.08 ? -0.8
-4.82 ? -4.89
I need help with 3 three if u can help!
21. If the winning score in golf is the lowest number, what was the lowest score out of the integers: –2, +1, –5, +3, –2, –1, +4, 0, +1? (1 point)
–5
0
1
4
22. What is the sum of –3 and 4? (1 point)
7
–7
–1
1
23. Evaluate the expression –273 – (–576) = (1 point)
–849
303
–303
849
24. Divide:
start fraction negative 56 over 4 end fraction equals
(1 point)
14
–14
25. Evaluate the expression (2 – 19) + (–12) (1 point)
+33
–33
+29
–29
26. Solve: –2x = 22, x = ___ . (1 point)
–11
–44
+11
+20
27. Solve: 5 + 3x = –22, x = ___ . (1 point)
–9
explmathfinal_27
–81
+9
28. Solve: 5(x + 3) = 35, x = ____ . (1 point)
+10
–10
–4
+4
29. Find the median for the set of data.
{7.2, 5.5, 7.1, 8.4, 5.6, 5.1, 9.9} (1 point)
5.5
7.1
8.4
6.97
30. Find first quartile for the set of data.
{80, 45, 32, 64, 22, 63, 45} (1 point)
32
64
50.14
48
31. Find the first quartile for the set of data.
{7.2, 5.5, 7.1, 8.4, 5.6, 5.1, 9.9} (1 point)
5.5
7.1
8.4
6.97
32. Find the maximum for the set of data.
{7.2, 5.5, 7.1, 8.4, 5.6, 5.1, 9.9} (1 point)
5.5
7.1
8.4
9.9
33. The third quartile (rounded to the nearest tenth if needed) of the following data set is: 11, 20, 17, 8, 8, 9, 20, 13, 21. (1 point)
8.5
8
20
14.1
34. If y varies directly with x and y = 2 when x = 15. Find x when y = 8. (1 point)
x = 60
x = 3.75
x = 240
x = 150
35. If y varies inversely with x, find the constant of variation with x = –40 and
y = 4. (1 point)
+10
–10
+160
–160
36. A certain project can be completed by 28 men in 90 days. The numbers of men needed varies inversely to the time needed to complete the project. If the contractor wants to complete the project in 72 days, how many men does he have to have working? (1 point)
30 men
270 men
35 men
28 men
37. The weight of an object on Mars varies directly as its weight on Earth. A person who weighs 95 kg on Earth weighs 38 kg on Mars. How much would a 100 kg person weigh on Mars? (1 point)
36.1 kg
40 kg
38 kg
41 kg
38. The money that a plumber makes varies directly with the number of hours he works. If he makes $125 in 5 hours, how much does he make in 8 hours? (1 point)
$200
$40
$78.12
$150
39. If you roll a red number cube (numbers 1–6), and a green number cube (number 1–6), how many possible combinations can you have? (1 point)
216
18
12
36
40. The multiple-choice part of an assignment has 4 possible choices for each of the 5 questions. How many possible ways can you answer the assignment? (1 point)
9
1,024
40
20
41. How many different squads of 5 players can be picked from 10 basketball players? (1 point)
252
30,240
50
120
42. Determining the number of seating arrangements with 10 people in 7 chairs requires use of ? (1 point)
combinations
permutations
probability
substitution
43. Determining the number of 3-person committees formed from a club with 12 members requires use of ? (1 point)
combinations
permutations
probability
substitution
44. Determining the number 5-card hands that can be drawn from a deck of 52 requires use of ? (1 point)
substitution
permutations
probability
combinations
45. Tyler has 5 shirts, 6 pairs of slacks, and 3 pair of shoes. If every shirt can be worn with any pair of slacks and any pair of shoes, how many outfits does Tyler have? (1 point)
14
33
90
21
46. How many committees of 2 people are possible from a group of 11? (1 point)
165
22
13
55
47. If the bowl contains 5 red marbles, 7 blue marbles, and 8 white marbles, what is the probability that you will draw a red marble when you pick one out? (1 point)
5over20
15 over 20
7 over 20
2over5
48. If the bowl contains 5 red marbles, 7 blue marbles, and 8 white marbles, what is the probability you will draw a red or blue marble? (1 point)
5over20
15 over 20
7 over 20
3over5
49. What is the probability of not rolling a 5 on a die? (1 point)
one-fifth
one-sixth
one-fourth
50. What is the probability of rolling a 7 on a die? (1 point)
one-fifth
one-sixth
0
1
please i need help!
It can be deduced that the addition of -3 and 4 will be 1.
How to add the numbersIt can be deduced that the addition of -3 and 4 will be;
= -3 + 4
= 1
When the winning score in golf is the lowest number, the lowest number is -1.
The value of the expression -273 - (-576) will be:
= -273 - (-576)
= -273 + 576
= 303
Also, -56/4 = -14. The value of the expression (2 - 19) + (-12) will be:
= (2 - 19) + (-12)
= -17 - 12
= -29
The value of -2x = 22 will be:
-2x = 22
Divide both side by -2
-2x/-2 = 22/-2
x = -11
The value of 5 + 3x = -22 will be;
5 + 3x = -22
5x = - 22 - 5
3x = -27
x = -27/3 = -9
5(x + 3) = 35
5x + 15 = 35
5x = 35 - 15
5x = 20.
5x/5 = 20/5
x = 4
The median is the number in the middle when arranged in ascending or descending order. Therefore, the median will be 7.1
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giving brainliest 3x^{2} -5x-2=0
Answer:
Step-by-step explanation:
I can guess what the instructions are, but it'd be helpful if you were to share them.
3x^2 - 5x - 1 = 0 is a quadratic with coefficients {3, -5, -1}. Find the discriminant b^2 - 4ac: 25 - 4(3)(-1) = 13.
Because the discriminant is positive, we know we have two unequal real roots here. Continuing with the quadratic formula, we obtain:
-(-5) ±√13 5 ± √13
x = ----------------- = ----------------
2(3) 6
Answer:
4x=2
Step-by-step explanation:
3x^2-5x-2=0
9x-5x-2=0
4x +2 +2
4x=2
x
An investment account started at $800 at the
beginning of the month. By the end of the month, the
account had 125% of $800 in it. What was the final
account balance?
Answer:
Are we human, or are we dancer
Step-by-step explanation: this is an answer your teacher would love trust me ;)
A student at lynbrook high School are building a shape below to put in their school. What is the total area of the shape and square units?
Answer:
j8jjjhvvbbbvvbbbbvvvbbbbbb
I need some help to pass my math class!
(06.01)
What type of association does the graph show between x and y?
A scatter plot is shown. Data points are located at 1 and 5, 2 and 4, 3 and 3, 4 and 2, 5 and 1, 6 and 0.
Group of answer choices
Linear positive association
Nonlinear positive association
Linear negative association
Nonlinear negative association
Answer:
your friend a creep
Step-by-step explanation:
a+7 = 10 what is the answeeeerrrrrrrrrrrrrrrrrr
Answer:
A=3 because 7+3=10
Step-by-step explanation:
Answer:
a=3
Step-by-step explanation:
Hope that helps, if you want the steps, just ask and ill put them in the comments :)
There are two jars. One jar has 2 orange marbles and 3 red marbles. The other jar has 1 blue marble and 4 green marbles. If Jeff randomly draws one marble from each jar, what is the probability that he will draw a red marble and a green marble?
Answer:
3/5
Step-by-step explanation:
because in one jar there are total 5 marbles. 2 orange and 3 red. so if he pick randomly then he will 3/5.
Find the sum of the zeros in the following equation: (2x-1)(x+8)(2x-4)(x-1)
Answer:
[tex]-9\frac{1}{2}[/tex]
Step-by-step explanation:
[tex]2x+1=0[/tex]
[tex]2x=-1[/tex]
[tex]x=-\frac{1}{2}[/tex]
[tex]x+8=0[/tex]
[tex]x=-8[/tex]
[tex]2x-4=0[/tex]
[tex]2x=4[/tex]
[tex]x=2[/tex]
[tex]x-1=0[/tex]
[tex]x=1[/tex]
[tex]1+2-8-\frac{1}{2}[/tex]
[tex]=-1-8\frac{1}{2}[/tex]
[tex]=-9\frac{1}{2}[/tex]
Sum of fractions [tex]=-9\frac{1}{2}[/tex]
Find the X and Y intercepts
Answer:
y intercept is 5 and the x intercept is 10
Step-by-step explanation:
The intercept is the number at which a line intercept an axis.
Hope this helps :)
Which of the following statements are true about the graph of f(x) = 6(x + 1)2 -9?
Check all of the boxes that apply.
a. The vertex is (1, -9).
b. The graph opens upward.
c. The graph is obtained by shifting the graph of f(x) = 6(x + 1)2 up 9 units.
d. The graph is steeper than the graph of f(x) = x2.
e. The graph is the same as the graph of f(x) = 6x2 + 12x - 3.
Answer:
Step-by-step explanation:
a. The vertex is (1, -9). False. The vertex is (-1, -9).
b. The graph opens upward. True. That coefficient '6' is positive.
c. The graph is obtained by shifting the graph of f(x) = 6(x + 1)2 up 9 units. False. It's DOWN 9 units.
d. The graph is steeper than the graph of f(x) = x^2. True. The given function increases 6 times faster than does x^2.
e. The graph is the same as the graph of f(x) = 6x2 + 12x - 3.
Let's put f(x) = 6(x + 1)^2 -9 into standard form. Expanding the first term, we get f(x) = 6(x^2 + 2x + 1) - 9, or f(x) = 6x^2 + 12x + 6 - 9. YES, TRUE
Simplify by adding like terms: 2abab - 4ba^2b + 7ab^a + 3a^2b
The sum of two numbers is 17
The difference of those same two numbers is 3
Find the two numbers
Graph the equations, and determine your answer by marking the point of intersection
The two numbers are 7 and 10 whose sum is 17 and whose difference is 3.
What is Equation?Two or more expressions with an Equal sign is called as Equation.
Given that the sum of two numbers is 17 and the difference of those same two numbers is 3.
We need to find those two numbers.
Let x and y are the two numbers.
Sum of two numbers is 17
x+y=17..(1)
Difference of two numbers is 3
x-y=3..(2)
From equation 1,
x=17-y
Now substitute this in equation 2.
17-y-y=3
17-2y=3
17-3=2y
14=2y
Divide both sides by 2
y=7
Now add y value in equation 1
x+7=17
Subtract 7 from both sides
x=10
Hence, the two numbers are 7 and 10.
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find the answer, 1/2 divided by 4
Answer:
The answer would be 0.125, Hope this helped!
What is the equation of a circle that has a diameter of 10 units if its center is at (3,8)?
Answer:
Step-by-step explanation:
[tex](x-3)^2+(y-8)^2 = 25[/tex]
The equation of circle: (x - 3)² + (y - 8)² = 25
What is equation of circle?An equation of circle with center (h, k) and radius 'r' is,
(x - h)² + (y - k)² = r²
For given example,
a diameter of circle = 10 units
So, the radius would be (r) = 10/2
r = 5 units
And the center (h, k) = (3, 8)
So, the equation of the circle would be,
⇒ (x - 3)² + (y - 8)² = 5²
⇒ (x - 3)² + (y - 8)² = 25
Therefore, the equation of circle: (x - 3)² + (y - 8)² = 25
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Will mark brainly
ASAP
Answer:
The angles that are considered vertical, would be those that are directly across from each other. In this case, it would be 1 and 3; and 2 and 4.
I hope this helped!!
Line x and line z are straight lines.
Which pair of angles are vertical?
O Za and Zd
Zb and Zd
Za and ZD
O Zc and Ze
Mark this and return
Answer:
[tex]\angle c[/tex] and [tex]\angle e[/tex]
Step-by-step explanation:
Given
See attachment
Required
Identify the vertical angles
Keynotes
Vertical angles opposite one anotherVertical angles are equal to one anotherUsing the keynote as a reference, we have the following observation from the attachment:
[tex]\angle c[/tex] and [tex]\angle e[/tex] are opposite
[tex]\angle c[/tex] and [tex]\angle e[/tex] are congruent
Hence:
[tex]\angle c[/tex] and [tex]\angle e[/tex] are vertical
(d) is correct
what does x equal too?
will mark brainliest pls help
Answer:
0.0063
Step-by-step explanation:
Which quantity is proportional to 35⁄80?
Answer:
7/16
Step-by-step explanation:
Answer:
7/16
Step-by-step explanation:
Simplify
Help please I forgot how to do it
You decide to buy a car with a base price of $11,499 at an interest rate of 6.2%. The car will be compounded monthly in those 5 years. What will your monthly payment be? Round the money to the nearest hundredth
Answer:
A = $15,696.72
Step-by-step explanation:
Use the compound amount formula: A = P(1 + r/n)^(nt). Here the number of compounding periods is nt, or (12 per year)(5 years) = 60.
Our formula becomes A = $11,499(1 + 0.062/12)^60, which works out to:
A = $11,499(1 + 0.0052)^60, or
A = $15,696.72
The monthly payment is $15,696.72/60, or $261.61.