The domain is the set of x-values for which the equation is true.
Since the maximum time is 12 hours, then the domain is less than or equal to 12.Since time can't be negative or 0, then the minimum is greater than 0. ∴ domain would be 0 < x ≥ 12A teacher chooses two students in a class of 15 girls and 10 boys. The students are randomly chosen. What is the probability that the teacher chooses two girls?
1. 3/5
2. 3/7
3. 7/12
4. 7/20
Answer:
15/25 which simplifies to 3/5 which is the first answer
Step-by-step explanation:
Two more than a number is the same as 16 decreased by 6 times the number. Find the number.
Answer:
X+2=16-6x
X=14-6x
Add 6x on both sides.
7x=14
Divide both sides by 7.
X=2
Which of these is a healthy coping strategy for stress?
A
Writing your thoughts in a journal
B
Not sharing your emotions with anyone
C
Stopping your exercise routine
D
Working very hard without breaks
Answer:
A
writing your thoughts in journal
The US dollar can be exchanged for other types of currency in the world the exchange rate is always changing suppose one eruro is equivalent to two dollars
HELP DUE TODAY! PLS HELPP
1. 2. 5. 10. Euro
2. ? ? ? US dollars
Answer:
$2, $4, $10, $20
Step-by-step explanation:
1*2=2
2*2=4
5*2=10
10*2=20
Mario measured the depth of the river as a function of time and graphed his findings. Use this graph to answer the following question.
What is the maximum depth of the river?
1 meter
22 minutes
10 meters
9 minutes
Answer:
10 meters
Step-by-step explanation:
highest value on y-axis
Suppose y varies directly as x, if y = 15 when x = 12, find x when y = 21.
Answer: x = 26
1
-
4
Answer:
16.8
Step-by-step explanation:
we have to do Unitary method.
when y=15 then x=12
when y=1 the x=12/15
when y=21 then x=(12*21)/15
x=16.8
1 (a) (i) Yasmin and Zak share an amount of money in the ratio 21 : 19.
Yasmin receives $6 more than Zak.
Calculate the total amount of money shared by Yasmin and Zak.
(ii) In a sale, all prices are reduced by 15%.
(a) Yasmin buys a blouse with an original price of $40.
Calculate the sale price of the blouse.
Answer: 1(a) $120
(ii a) $34
Step-by-step explanation:
21-19 = 2
$6/2=3
21x 3( one ratio =$3) =63
19x3 = 57
63+57=120 - (1 A ans)
(ii a) 40x0.15 (percentage decrease)= 6
40-6 = $34
The total amount of money shared by Yasmin and Zak is $120.
What is the ratio?The ratio is defined as the comparison of two quantities of the same units that indicates how much of one quantity is present in the other quantity.
(i) The given ratio is 21:19
Let Zak be having $x, the Yasmin will be having $(x+6).
Now, 21/19 = x+6/x
21x=19x+114
2x=114
x= $57
So, x+6= 57+6 = 63$
Total 63+57=$120
(ii) Given that, Yasmin buys a blouse with an original price of $40.
In a sale, all prices are reduced by 15%.
Now, 15% of 40
= 15/100 ×40
= 0.15×40
= 6
New cost =40-6
= $34
Therefore, the sale price of the Yasmin's blouse is $34.
To learn more about the ratio visit:
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PLS HELP ME, I REALLY NEED THIS RIGHT NOW, 100 POINTS, IF YOU ANSWER WITH NO EXPLANATION, OR ANSWER FOR THE POINTS YOU WILL BE REPORTED
A marine biologist is studying the growth of a particular species of fish. She writes the following equation to show the length of the fish, f(m), in cm, after m months:
f(m) = 4(1.08)m
Part A: When the marine biologist concluded her study, the length of the fish was approximately 6.86 cm. What is a reasonable domain to plot the growth function? (4 points)
Part B: What does the y-intercept of the graph of the function f(m) represent? (2 points)
Part C: What is the average rate of change of the function f(m) from m = 3 to m = 7, and what does it represent? (4 points)
9514 1404 393
Answer:
0 ≤ m ≤ 70.4541 cm/month; average rate of growth over last 4 months of studyStep-by-step explanation:
Part A:
The study was concluded after 7 months. The fish cannot be expected to maintain exponential growth for any significant period beyond the observation period. A reasonable domain is ...
0 ≤ m ≤ 7
__
Part B:
The y-intercept is the value when m=0. It is the length of the fish at the start of the study.
__
Part C:
The average rate of change on the interval [3, 7] is given by ...
(f(7) -f(3))/(7 -3) = (4(1.08^7) -4(1.08^3))/4 = 1.08^3·(1.08^4 -1)
≈ 0.4541 cm/month
This is the average growth rate of the fish in cm per month over the period from 3 months to 7 months.
Find the equation of the circle in standard form given the center, point or radius. Show your solution.
Center (-3,5) & Point (-2,1)
Answer:
(x + 3)^2 + (y - 5)^2 = 17
Step-by-step explanation:
To find the radius: distance from point (-2,1) to the center from point (-3,5).
d = sqrt [(-2 - -3)^2 + (1 -5)^2]
d = sqrt [(-2 + 3)^2 + (1 -5)^2]
d = sqrt (1)^2 + (-4)^2 = sqrt 17
Radius = sqrt 17
Equation of the circle:
(x - h)^2 + (y - k)^2 = r^2
h = 3, k = 5, r = sqrt 17
(x - -3)^2 + (y - 5)^2 = (sqrt 17)^2
(x + 3)^2 + (y - 5)^2 = 17
Zach bought his parents anniversary gifts. His dad's present cost $25. He bought his mom 3 presents (p) that all cost the same amount. If he paid a total of $40, how much did each of his mom's gifts cost?
What is the value of p in the equation?
25 + 3p = 40
Answer:
5
Step-by-step explanation:
Mrs. Shultz went to New York to do her Christmas shopping. She took a cab to go into the city and they charged her a flat fee of $6 plus $2 for every mile. Mrs. Shultz ended up paying the cab driver $30. How many miles did Mrs. Shultz travel?
Answer:
12 miles
Step-by-step explanation:
30-6=24
24/2=12 miles
Write an expression for each of the following:
a. the sum of 6 and z
b. the difference between 20 and x
c. 8 less than the quotient of x divided by 6
d. x increased by 5 divided by 4
Answer:
6 + z
20 - x
x/6 - 8
5x/4
Step-by-step explanation:
Answer:
Step-by-step explanation:
Answer:
a.6+z
b.22-x
c.8-x÷6
d.x+15÷4
X-9/-4=7 what is the value of x?
Answer:
X= 19/4
Step-by-step explanation:
Answer:
4,75
Step-by-step explanation:
x-9:(-4)=7
-9:(-4) = +2,25
x+2,25=7 / -2,25
x= 7-2,25
x= 4,75
Find the volume of the cube that measures 3.14 inches by 3.14 inches by 3.14 inches.
Answer:
30.959144 inches^3
Step-by-step explanation:
Voume of cube =l^3
Here, l=3.14, so
V=3.14^3
30.959144 ^3
Answer:
V= a^3 or for one edge it’s really
V ~ 30.96
Step-by-step explanation:
Which sets are NOT closed under subtraction? Choose all that apply.
-Odd numbers
-Integers
-Prime numbers
-Natural numbers
-Irrational numbers
-Even numbers
Are these functions or not functions?
What is w(53)is equal to
Answer:
Step-by-step explanation:
The question is slightly ambiguous. The problem is, do you find the first 40 hours using 10x and then the second equation using x >40. I don't think so, but it should be made clear. It turns out that the first 40 hours does equal 400 so that you can use the second expression with no worries.
w(53) = 15(53 - 40) + 400
w(53) = 15(13) + 400
w(53) = 195 + 400
w(53) = 595
If a hole is 7 feet deep and 4 feet wide how much dirt is in the hole?
Answer:
3 is the correct answer tbyvcrdgevzc
A line passes through the points (-6, -8) and (-3,-7).
What is the equation of the line in Slope-Intercept Form?
A)y=1/3x-6
B) y=3x-6
C)y=1/3x+6
D) y=3x+6
Step-by-step explanation:
For us to write the equation for this line, we need to (1) find the slope of the line, and (2) use one of the points to write an equation:
The question gives us two points, (-6, -8) and (-3,-7), from which we can find the slope and later the equation of the line.
Finding the Slope
The slope of the line (m) = (-8 - (-7)) ÷ (-6 - (-3))
= -1 ÷ (-3)
= ¹/₃
Finding the Equation
We can now use the point-slope form (y - y₁) = m(x - x₁)) to write the equation for this line:
⇒ y - (-7) = ¹/₃ (x - (-3))
we could also transform this into the slope-intercept form ( y = mx + c)
since y + 7 = ¹/₃ (x + 3)
⇒ y + 7 = ¹/₃ x + 1
∴ y = ¹/₃ x - 6
To test my answer, I have included a Desmos Graph that I graphed using the information provided in the question and my answer.
if a 280g with 32 pieces chocolate bar contains 20% of fat. How much fat is in 4 pieces?
Answer:
0.8%
Step-by-step explanation:
4*20%=4*(1/5)=4/5=0.8%
Find the percent decrease. Round to the nearest percent.
From 99°F to 72°F
Answer:
Step-by-step explanation:
71.28
A pet store has 15 birds and 75 fish.
In simplest form, what is the ratio of birds to fish in the pet store?
O1/6
O1/5
O5/1
I don't know
Answer:
1/5
Step-by-step explanation:
For every bird in the store there will be 5 fish.
Because there is 5 times more fish then birds.
Using the ratio concept, the number of birds to fish expressed as a ratio is 1/5
Given the Parameters :
Number of birds = 15 Number of fishes = 75Ratio of the number of birds to fish can be expressed thus :
Number of birds : Number of fishes15 : 75
Divide both sides by 15
1 : 5
Hence, the ratio of birds to fish is 1/5
Learn more : https://brainly.com/question/18796573
Can someone help me with this?!
Answer:
1) measure angle T= 72, measure angle U=54
2)measure angle M=76, measure angle N=76
3)EF= 18 inches, measure angle F=134
4)measure angle P,Q,R= 60
Step-by-step explanation:
What is the square root of 74 rounded to the nearest tenth
The square root of 74 rounded to the nearest tenth is gotten as; 8.6
How to find the Square root of a number?
We want to find the square root of 74.
This square root of 74 is expressed as;
√74
Now, the value of that square root is;
√74 = 8.6023
Now, we want to approximate to the nearest tenth and thus we will have the approximation as; 8.6
Read more about square root at; https://brainly.com/question/98314
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-7 + - 20 please help me i really don't understand
Answer:
-27
Step-by-step explanation:
-7 + - 20
let's not forget that a + and a - is equal to a - therefore all the question really says is ...
-7-20
which is now easier to do and is equal to
= -27
Hope this helped you, have a good day bro cya)
4a+3=40 help please!!!!
4a + 3 = 40
---Subtract 3 from both sides
4a = 37
---Divide both sides by 4
a = 37/4 = 9 1/4 = 9.25
Hope this helps!! :)
Answer:a= 9 1/4 as a mixed number
Improper: 37/4
Move all terms that don't contain a to the right side and solve.
Which box plot represents a set of data that has the greatest mean absolute deviation?
A box-and-whisker plot. The whiskers have a range of 9 units, and the box has a range of 6 units.
A box-and-whisker plot. The whiskers have a range of 10 units, and the box has a range of 2 units.
A box-and-whisker plot. The whiskers have a range of 6 units, and the box has a range of 2 units.
Answer:
d
Step-by-step explanation: i took the test and pasted
Answer
Graph 2
Step-by-step explanation:
What theorem can be used to prove
these triangles are congruent?
ASA
SAA
neither
It says find the product, then list the units. Please explain how to do this! Best explanation gets brainliest
Answer:
$72
Step-by-step explanation:
it is like how much someone earns for 8 hours of work at the rate of $9 per hour.
The rate of the answer is dollars since it's the money earned
if a×b÷2=a÷2 then b =