Answer:
The first answer
Step-by-step explanation:
Domain refers to the set of x values and range refers to the set of y values. Since x goes from 0 to 3, and does not exclude any values within those numbers, the first answer applies to that set.
Answer:
option 1
that is
{t| 0 <= t <= 3}
Step-by-step explanation:
as the graph plots height ove time
time will be the domain, taken on the x axis, with values ranging from 0 to 3.
so the domain is
{t| 0 <= t <= 3}
If P(A) = 2/3, P(B) = 4/5 and P(AnB) = 3/5, what is P(AuB)?
Answer:
13/15
Step-by-step explanation:
P(A∪B) = P(A) + P(B) – P(A∩B)
= 2/3 + 4/5 - 3/5
Getting a common denominator
2/3 *5/5 + 4/5*3/3 - 3/5 *3/3
10/15 + 12/15 - 9/15
13/15
Answer:
[tex] \frac{13}{15} [/tex]
Step-by-step explanation:
We know that,
P(AUB) = P(A) + P(B) - P(A n B)
So,
[tex]P(AUB) = P(A) + P(B) - P(A n B) \\ = \frac{2}{3} + \frac{4}{5} - \frac{3}{5} \\ = \frac{10 + 12 - 9}{15} \\ = \frac{22 - 9}{15} \\ = \frac{13}{15} [/tex]
hope this helps you.
Have a nice day!
What is the equation of the following line?
(-4, 8)
(0,0)
Answer
Step-by-step explanation:
y = -2x + 0
Therefore; y = -2x
Be sure to show your work and solve for h:
6 + h + 8 = 24
Answer:
10
Step-by-step explanation:
6 + h + 8 = 24
h + 6 + 8 = 24
h + 14 = 24
h = 24 - 14
h = 10
Can someone help me with this math homework please!
Answer:
The vertical line test can be used to determine whether a graph represents a function.
If we can draw any vertical line that intersects a graph more than once, then the graph does not define a function because a function has only one output value for each input value.
Mia invests $5,000 in an index fund. After 1 year, the fund's share price has increased by 8%. How much did Mia gain?
Answer: In the end, she has $5400 in total, so she must gain $400 on her investment.
Step-by-step explanation:
8% is 0.08 >>> add 1 to it = 1.08
5000*1.08 = 5400
or the other way to do this is 5000*0.08 = 400 and then 5000+400=5400
Hope this helps!
The ages of Raju and Ravi arw the ratio of their ages will be 4:5 . Find their present ages.
Answer:
Step-by-step explanation:
The ages of Raju and Ravi are in the ratio 3:4 .Four years from now the ratio of their ages will be 4:5 . Find their present ages.
Ratio of ages at present = 3:4
Age of Raju = 3x
Age of Ravi = 4x
Age after four years:
Raju's age = 3x + 4
Ravi's age = 4x + 4
Ratio of ages after four year = 4 : 5
3x +4 : 4x + 4 = 4 : 5
(4x + 4)*4 = (3x + 4)*5
16x + 16 = 15x + 20
Subtract 16 from both sides
16x = 15x + 20 - 16
16x = 15x + 4
Subtract 15x from both sides
16x - 15x = 4
x = 4
Age of Raju = 3x = 3*4 = 12 years
Age of Ravi = 4x = 4*4 = 16 years
It has been reported that the average credit card debt for college seniors is $3262. The student senate at a large university feels that their seniors have a debt much less than this, so it conducts a study of 50 randomly selected seniors and finds that the average debt is $2995, and the population standard deviation is $1100. At α = 0.05, is the student senate correct? a) State the hypotheses and identify the claim with the correct hypothesis
Answer:
Following are the solution to the given point:
Step-by-step explanation:
The formulated null hypothesis would be that the reported average do not differ significantly
[tex]H_o : \mu = \$3262\\\\H_a : \mu < \$3262 \ \text{(One tailed test)}[/tex]
The amount (mass) of Carbon in a 24 gram sample of Methane is 18 grams. Find the percent of carbon in the sample.
The percent of carbon in the 24 gram sample of methane is 75%.
To find the percent of carbon in the sample of methane, you can use the formula:
Percent of Carbon = (Mass of Carbon / Total Mass of Sample) * 100
Given that the mass of carbon in the sample is 18 grams and the total mass of the sample is 24 grams, we can substitute these values into the formula:
Percent of Carbon = (18 grams / 24 grams) * 100
Percent of Carbon = (0.75) * 100
Percent of Carbon = 75%
Therefore, the percent of carbon in the 24 gram sample of methane is 75%.Mass of Carbon: The problem states that the mass of carbon in the sample of methane is 18 grams. This means that out of the total mass of the sample, 18 grams is specifically attributed to carbon.
Total Mass of Sample: The total mass of the sample is given as 24 grams. This represents the combined mass of all the elements present in the sample, including carbon and hydrogen.
Percent Calculation: To find the percentage of carbon in the sample, we use the formula: (Mass of Carbon / Total Mass of Sample) * 100. This formula calculates the fraction of carbon relative to the total mass of the sample and converts it to a percentage.
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help me pllllllssssssssssssss
d, because the plastic has a difference of 2000 with respect to food
Please help me with this one.. it's due today!!!
Answer:
75 in^2
Step-by-step explanation:
The surface area is the sum of the areas
Area of the square:
A = s^2 = 5^2 =25
Area of one triangle
A = 1/2 bh = 1/2 (5)(5) = 25/2
There are 4 triangles
4* (26)/2 = 50
The sum is 25+50 = 75
Hi!
[tex]P_{\square}=5^2=25 \ in.^2\\\\P_{\triangle}=\frac{1}{2}\cdot5\cdot5=\frac{1}{2}\cdot25=12,5 \ in.^2\\\\P_c=25+4\cdot12,5=25+50=\boxed{75 \ in.^2}[/tex]
Solve each system of equations by substitution. Clearly identify your solution.
Answer:
(-7,-2)
Step-by-step explanation:
y = 3x + 19
y = 5x + 33
Substitute in y. Basically set equal to each other.
3x + 19 = 5x + 33
-2x = 14
x = -7
y = 3 (-7) + 19
y = -21 + 19
y = -2
Answer:
y = -2
x = -7
Step-by-step explanation:
Substitute y= 5x + 33
5x + 33 = 3x + 19
Isolate x for 5x + 33 = 3x + 19: x = -7
For y = 5x + 33
Substitute x = -7
y = 5(-7) + 33
y = -2
So the solution is y= -2, x=-7
Find an equivalent ratio for the proportional relationship. PQ restaurant offers 5 chicken rolls for $6.
Answer:
5:6 lol
Step-by-step explanation:
Which point represents the unit rate?
WILL GIVE BRAINLIST!
What is the slope of the line graphed on the coordinate plane?
A graph with a line running through coordinates (0, 6) and coordinates (1, -2)
Work Shown:
Apply the slope formula
m = (y2-y1)/(x2-x1)
m = (-2-6)/(1-0)
m = -8/1
m = -8
The slope is -8
We can think of it like saying "go down 8 and move to the right 1 unit", since -8 = -8/1.
Put another way: slope = rise/run = -8/1
rise = -8 and run = 1.
Answer:
-8
it's easy just use the equation y2-y1 ÷ x2-x1
If < A and < B are complementary, and < A = 3x + 4 degrees, while < B = 6x - 4 degrees, find x.
Select one:
a. 10
b. 4
c. 9
d. 21
Answer:
a
Step-by-step explanation:
complementary angles sum to 90° , so
3x + 4 + 6x - 4 = 90
9x = 90 ( divide both sides by 9 )
x = 10
Find end and mid point
Answer:
You already post your answer!
Step-by-step explanation:
Maybe you should get two points in order to find midpoint and endpoint!
or you should give other information!
BRAINLIEST FOR CORRECT ANSWER
Answer:
y=-2x+6
Step-by-step explanation:
For this question, you need the slope-intercept form which is y=mx+b, where m is the slope and b is the y-intercept. We should first find the slope of the equation. The slope is the rise-over-run; this means that the slope is equal to the difference in y over x. One way to find the slope is to count the difference between the two coordinates or you can use the formula. Either way, the y decreases by 2, and the x increases by 1. Therefore, the slope is -2.
Then, find the intercept. One way to do this by plugging in one of the coordinates into the equation we have so far, y=-2x+b. So, plug 4 in for y and 1 in for x; 4=-2(1)+b. Next, solve for b. This equals b=6.
Finally, plug in the slope and intercept for the final answer, y=-2+6.
Which of the following is not a function?
1. {(0,0), (1,4), (2,8) }
2. {(0,0), (3,16), (16,49) }
3. {(1,1), (2,2), (3,3), (4,4)}
4. {(7,1),(6,2), (5,3), (5,4)}
5. all of the choices are function
Can someone help with problems fivethroughseven
Answer:
5) 15120
6) 11880
7) 336
Step-by-step explanation:
The formula for permutation where mPn is m!/(m-n)!
Applying this to question 5, we get 9!/4!, which is 15120.
For question 6, we get 12!/8!, which is 11880.
For question 7, we get 8!/5!, which is 336.
The length, breadth and height of an object are 20cm, 15cm and 25cm respectively. Its mass is 7kg. Find its volume and density. vers F. 1.1.3.4m ii. 65000g iii. 24.325 hrs iv. 7500m 00cm', 0.933g/cc st Work a brick and measure its length, breadth and height. alate its volume by using formula. Find its mass by using a balance. Calculate its density. Does it float or sink in the r? Why? Explain. ence & Environment Books
Answer:
the above answer help you.
find the sin in the triangle
Answer:
.324 or 18.9 degrees
Step-by-step explanation:
rule is
sine equals opposite over hypotenuse,
cosine equals adjacent over hypotenuse, and
tangent equals opposite over adjacent
OR
soh cah toa
sine = soh = 12/37 = .324
arcsin(.324) or sin^-1(.324) in DEGREES not radians =
18.9 degrees
Which property of addition is shown in the equation below?
a+bi+0+0i = a + bi
commutative property
inverse property
identity property
associative property
Answer:
Step-by-step explanation:
is option a correct
The correct property of addition is shown in the equation is,
⇒ Identity property.
What is Addition?The process of combining two or more numbers is called the Addition. The 4 main properties of addition are commutative, associative, distributive, and additive identity.
Given that;
The equation is,
⇒ a + bi + 0 + 0i
Now, We know that;
Condition of identity property is,
⇒ a + 0 = a
Thus, The correct property of addition is shown in the equation is,
⇒ Identity property.
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In basketball, hang time is the time that both of your feet are off the ground during a jump. The equation for hang time is [tex]t = 2(\frac{2h}{32} )\frac{1}2[/tex] , where t is the time in seconds, and h is the height of the jump, in feet.
Player 1 had a hang time of 0.9 s. Player 2 had a hang time of 0.8 s. To the nearest inch, how much higher did Player 1 jump than Player 2?
Answer:
8 inches
Step-by-step explanation:
Given:
t = 2 ( 2h/32 ) ^1/2 ( or: t = 2 * sqrt ( 2h/32) ).
Step 1: First Player
0.9 = 2 * sqrt( 2h/32 ) / ^2 ( we will square both sides of equation )
0.81 = 4* 2h/32
0.81 = h/4
h 1 = 0.81 * 4 = 3.24 ft
Step 2: Second Player
0.8 = 2 * sqrt( 2h/32 ) /^2
0.64 = 4 * 2 h/32
h 2 = 0.64 * 4 = 2.56 ft
Step 3: Simplify
h 2 - h 1 = 3.24 - 2.56 = 0.68 ft
and since 12 in = 1 ft:
0.68 * 12 = 8.16 in ≈ 8 in.
The tens digit is missing from the three-digit number 8 _ 9. If the tens digit is to be randomly selected from the ten different digits from 0 to 9, what is the probability that the resulting three digit number will be a multiple of 9?
Step-by-step explanation:
Only 1 number works. 1 will make 819 which is divisible by 9.
Since it is 1 of ten numbers can go in the blank, the answer is 1/10 which is 0.1
The 10 number choices are
0,1,2,3,4,5,6,7,8,9
The only one that works is 1 as I've stated.
Twice a number minus 25 is less than 89. Translate it into an inequality and find the solution
Answer:
2x-25<89
x<57
Step-by-step explanation:
2x-25<89
2x<89+25
2x<114
Divide by 2...
x<57
Hope this helped! Please mark brainliest :)
plz help ASAP with explanation
[tex]\displaystyle\bf \boxed{V=abh \ ; \ 1dm^3=1litre=1000cm^3} \\\\a=12cm \ ; \ b=8 cm ;\: h_1=7 \; ; \ h_0=h_1+h_2=?\\\\abh_2=1,2litre=1,2dm^3\ = 1200cm^3\\\\ 8\cdot 12 h_2=1200\\\\h_2=12.5 cm\: then \\\\h_0= 7+12,5=19,5 \\\\Answer : the \ height \ of \ the \ tank \ is \ 19,5 cm[/tex]
==========================================================
Explanation:
The volume of a rectangular block is V = L*W*H. So we multiply the length L, width W and H.
For the smaller rectangular block, up to the water level shown, we have a volume of V = L*W*H = 12*8*7 = 672 cubic cm
Since 1000 cm^3 represents 1 liter, this means the tank has 672/1000 = 0.672 liters of water already.
Add on another 1.2 liters of water to get to 1.2+0.672 = 1.872
Therefore, the full tank's capacity is 1.872 liters
This converts to 1.872*1000 = 1872 cm^3
--------------------------------------------
The largest rectangular block has volume 1872 cm^3
We know the length and width (along the bottom) is L = 12 and W = 8 respectively. The height is unknown, but we can solve for it like so
V = L*W*H
L*W*H = V
12*8*H = 1872
96H = 1872
H = 1872/96
H = 19.5
The height of the tank is 19.5 cm
If copies of all your computer data are stored on four independent hard disk drives, what is the probability that during a year, you can avoid catastrophe with at least one working drive? With four hard disk drives, the probability that catastrophe can be avoided is
Answer:
[tex]P(Atleast\ 1) = 0.9999992[/tex]
Step-by-step explanation:
Given
[tex]p = 3\%[/tex] --- rate of hard disk drives failure
[tex]n = 4[/tex] --- number of hard disk drives
See comment for complete question
Required
[tex]P(Atleast\ 1)[/tex]
First, calculate the probability that the none of the 4 selected is working;
[tex]P(none) = p^4[/tex]
[tex]P(none) = (3\%)^4[/tex]
[tex]P(none) = (0.03)^4[/tex]
Using the complement rule, the probability that at least 1 is working is:
[tex]P(Atleast\ 1) = 1 - P(none)[/tex]
This gives:
[tex]P(Atleast\ 1) = 1 - 0.03^4[/tex]
[tex]P(Atleast\ 1) = 0.9999992[/tex]
Select the correct answer. The product of two numbers is 21. If the first number is -3, which equation represents this situation and what is the second number? A. The equation that represents this situation is x − 3 = 21. The second number is 24. B. The equation that represents this situation is 3x = 21. The second number is 7. C. The equation that represents this situation is -3x = 21. The second number is -7. D. The equation that represents this situation is -3 + x = 21. The second number is 18.
Answer:
C
Step-by-step explanation:
Since it's the product, the two numbers must be multiplied together. -3 * x will equal 21, so -3x=21. By dividing both sides by -3, we see that x=-7
answer needed fast! 15 points! in how many ways can 85 be written as the sum of 2 primes
7x+14
2x2 + x-6
What is the GCF
i will solve it first i need full form
Answer:
When i tried solving it, there was no GCF except for 1.
However, the GCF of the numerator is 7