Answer:
[tex]x= -\frac{17}{29} +\frac{7y}{29}[/tex]
Step-by-step explanation:
[tex]29x-7y=-17[/tex]
[tex]x= -7y/29 + -17/29[/tex] Divide every number by x except
The half life of a drug in the bloodstream is 18 hours. What fraction of the original drug dose remains in 36 hours? in 72 hours?
Answer:
1/4 in 36 hours
1/8 in 72 hours
To determine the fraction of the original drug dose remaining after a certain time, we can use the concept of half-life. The half-life is the time it takes for half of the drug to decay or be eliminated from the bloodstream.
Given that the half-life of the drug is 18 hours, we can calculate the fraction of the original drug dose remaining after a certain number of hours.
After 18 hours (one half-life), half of the drug remains, which is equal to 1/2 or 0.5 of the original dose.
To find the fraction remaining after 36 hours (two half-lives), we can halve the remaining amount from the previous step:
(1/2) * (1/2) = 1/4 or 0.25
Therefore, after 36 hours, 1/4 or 0.25 of the original drug dose remains.
To find the fraction remaining after 72 hours (four half-lives), we can continue halving the remaining amount:
(1/2) * (1/2) * (1/2) * (1/2) = 1/16 or 0.0625
Therefore, after 72 hours, 1/16 or 0.0625 of the original drug dose remains.
In summary:
After 36 hours, 1/4 or 0.25 of the original drug dose remains.
After 72 hours, 1/16 or 0.0625 of the original drug dose remains.
To know more about fraction here
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Harvey is often late for work. He leaves home late 60% of the time, but then drives very fast. This gives him a 50% chance of getting to work on time. When Harvey leaves home on time, he drives so slowly that he is late 70% of the time. What is the probability that Harvey left home on time if he gets to work on time
Answer:
40%
Step-by-step explanation:
A semi-circle is connected to an isosceles triangle. The radius of the semi-circle is 2 inches, and the height of the triangle is 6 inches. Find the area of the composite figure.
Answer:
18.28 sq inches
Step-by-step explanation:
the area of the composite fig. =
(½×3.14×2²)+(½×4×6)
= 6.28 + 12 = 18.28
a letter to PTA chairman about school problems
Answer:
Dear Chairman/or MR.?….
Re: Concerns regarding insanitary conditions/health of children
I would be grateful if you could let me have the latest Minutes of PTA Meetings particularly if they relate to the health of young people as it relates to the lack of proper cleaning and the general insanitary conditions in the toilets and areas where food is consumed by children
Whilst l am aware that schools are always short of cash for what may be regarded as non-essentials, l would like the opportunity to discuss with you my ideas on dealing with this very important aspect of basic hygiene, cleanliness and education if it is found to be that the insanitary conditions are such which young people themselves may be partly responsible. If funds are needed for the purchase of specific items l have suggestions as to the raising of funds for these.
I look forward to hearing from you as a matter of urgency.
Yours sincerely,
, if addressed by name/ faithfully, if not by name,
Step-by-step explanation:
if f(x)= 9+3x, find f(-2)
Answer:
f(-2) =3
Step-by-step explanation:
f(x) = 9+3x
Let x=-2
f(-2) = 9+3(-2)
= 9-6
= 3
f ( -2 ) = 9 + 3( - 2 )
f ( -2 ) = 9 - 6
f ( -2 ) = 3
Si se tira un dado, ¿cuál es la probabilidad de que se obtenga un divisor de 6?
Answer:
si se tirs undado you need to
Can someone help me please?
Answer:
.08
Step-by-step explanation:
Answer:
Hi, there your answer is 0.08
Step-by-step explanation:
is 0.45 greater than 0.5
Answer:
0.5
hope this helps
have a good day :)
Step-by-step explanation:
A random sample of 12 families were asked how many kids they had. The data are given below. According to the US Census, families have on average 2.4 kids per family. What is the p-value for the alternative hypothesis that the average number of kids per family is different than the US Census value
Answer:
0.308
Step-by-step explanation:
Given the data:
1, 1, 2, 2, 2, 3, 3, 3, 3, 4, 4, 6
The sample mean and standard deviation :
Sample mean, xbar = (1+1+2+2+2+3+3+3+3+4+4+6) / 12 = 2.833
Sample standard deviation, s = 1.40 ( calculator)
Hypothesis :
H0 : μ = 2.4
H0 : μ ≠ 2.4
The test statistic :
(xbar - μ) ÷ (s/√(n))
(2.833 - 2.40) / (1.40/sqrt(12))
Test statistic = 1.0713
Using the Pvalue from Test score calculator :
df = n - 1 = 12 - 1 = 11
Pvalue(1.071, 11) two - tailed
= 0.3069
= 0.307
Which of the following is equal to 2?
6 + 4 = (2 + 1) * 3
(6 + 4 + 2) - 13
6 + (4 + 2) + 1 x 3
(6 + 4) - 2 - 1 x 3
Answer:
no equation is equal to 2 all are greater than 2
What is the equation of the graph
-2
y = 1x + 1
O y = 1x-2
y = 2x - 2
O y = 2x + 1
9514 1404 393
Answer:
the correct choice is marked
Step-by-step explanation:
The line has a rise of 2 for a run of 1, so a slope of 2. The line crosses the y-axis at y=-2, so the y-intercept is -2. The slope-intercept equation for the line is ...
y = mx + b . . . . . . for slope m and y-intercept b
y = 2x -2
Answer:
the answer is c y=2x-2
Step-by-step explanation:
:)
PLS HELP WITH THIS IN YHE RIGGHT ORDER I MARK YOU BRAINLIEST
A person of interest was identified by the police. Using three different telecommunication towers,
the police were able to gather the following information about the person's cell phone location.
• The person is 7 miles away from A(4,4.6).
• The person is 5 miles away from B(-3.5, - 3.8).
• The person is 6 miles away from C(-6, 5.5).
Use the information from towers A, B, and C to find the approximate location of the person of
interest.
Answer:
Well since he tracked the person through the communication towers he was able to gather information, with this information we can solve and find out how far this person is.
Step-by-step explanation: read above and trust
SOMEONE HELPPP PLEASE!! Complete the table to represent the number of seashells in the collection after the first four summers
Answer:
6 number of seashells for 1 Summer. 21 number of seashells for two summers. 36 number of seashells for three summers. 51 number of seashells for 4 summers.
Step-by-step explanation:
15 substituted in for f and x is the the number of summers.
Answer:
6
21
36
51
Illuminate test.
please help with this question i will mark you brainliest!
9514 1404 393
Answer:
equation: y = 4x
graph is attached
Step-by-step explanation:
Let y represent the cost of the peaches in dollars. Let x represent their weight in pounds. Then the relation between the two variables is ...
cost = (cost per pound) × (pounds)
y = 4x
__
This graphs as a line through the origin with a slope of 4. In the attached, the x- and y-axes have different scales so more of the graph can be seen.
Does anyone understand this?
Answer: understand what
Step-by-step explanation:
Answer:
where qurstion
Step-by-step explanation:
??????????????
4. A room has 20 seats - some are stools and some are chairs. Each stool has 3 legs and each chair has 4 legs.
Altogether there are 68 legs.
How many
stools are there?
Answer:
There are 12 stools in the room
The diameter of a cone-shaped storage tank is 14 feet and it's height is 9 feet. Find the volume of liquid the tank can hold. Round your answer to the integer, if necessary. Use the approximate of value of /pi , that is 3.14.
Answer:
461.6 ft³
Step-by-step explanation:
V(cone) = 1/3πr²h
= 1/3π(7²)(9)
= 49·3π
= 147(3.14)
= 461.6 ft³
A parking lot charges $2 per hour for the first 4 hours, then $3 per hour after that. Which equation(s) describes the total cost as a function of the hours x?
A. Y=3x+8
B. Y=2x+12
C. Y=2x for x of 4 or less / y=2x+3x for x of 5 or more
D. Y=2x for x of 4 or less / y=8x+3(x-4) for x of 5 or more
Answer:
A.
Step-by-step explanation:
2/hour
2×4 hours =8 dollars ;
Then 3x(because we dk the time taken, so replaced by x and then times 3)
Equation =8+3x
Lil' HydroPhil owns five pieces of precious apparel and wants to choose two to wear to the awards show. He defines his precious apparel as: platinum nose ring, diamond shirt, titanium boots, suede pants, and beryllium hat. Assuming the selection is random and each has an equally likely outcome, determine the probability HydroPhil chooses a combination that includes the suede pants.
Answer:
The probability HydroPhil chooses a combination that includes the suede pants is 0.40
Step-by-step explanation:
Given
Let
[tex]P \to Platin um\ no se\ ri ng[/tex]
[tex]D \to Diamond\ shirt[/tex]
[tex]T \to Titanium\ boots[/tex]
[tex]S\to Suede\ pants[/tex]
[tex]B\to Beryllium\ hat[/tex]
Required
Probability of selecting a combination that has S
First, list out all possible combinations (A) of 2
[tex]A = \{PD, PT, PS, PB, DT, DS, DB, TS, TB, SB\}[/tex]
The sample size is:
[tex]n(A) = 10[/tex]
The combinations that has S are:
[tex]S \to \{PS, DS, TS, SB\}[/tex]
The size is:
[tex]n(S) = 4[/tex]
So, the probability that he choose the combination that has S is:
[tex]Pr = \frac{n(S)}{n(A)}[/tex]
[tex]Pr = \frac{4}{10}[/tex]
[tex]Pr = 0.40[/tex]
Given f(x) = 3x2 + x and g(x) = 2x. What is Limit of g (f (x)) as x approaches negative 4?
44
88
104
188
Answer: 88
Step-by-step explanation:
got it right 2022 edge
PLEASE HELPPPP MEEEEE, JUSTFIY PLZZ
Answer:
a. Unsure
b. True
c. Unsure
d. True
A - False
B - True
C- False
D- True
Three bowls and four mugs can hold a total of 2.52 litres of water. Each bowl can hold
70 ml more than a mug. How much water can a mug hold? Give your answer in litres.
(with full working)
9514 1404 393
Answer:
0.33 litres
Step-by-step explanation:
If a mug can hold a volume of m litres, then a bowl can hold a volume of m+0.07 litres. The total volume held by the given containers is ...
3(m +0.07) +4m = 2.52
7m +0.21 = 2.52 . . . . . . . . simplify
7m = 2.31 . . . . . . . . . . . . . subtract 0.21
m = 0.33 . . . . . . . . . . . . . divide by 7
Each mug can hold 0.33 litres.
What is the slope of a line that runs through (-2,4) and (3,7)
Answer: m=0.6
Step-by-step explanation:
Use the m= y2-y1/x2-x1 formula to calculate slope.
7-4=3
Divided by
3-(-2)=5
3/5= 3/5 or 0.6
Answer:
slope = 3/5
Step-by-step explanation:
slope = rise/run
---------------------------
y rises from 4 to 7 = 3
x runs from -2 to 3 = 5
slope = 3/5
A clothing vendor estimates that 78 out of every 100 of its online customers do not live within 50 miles of one of its physical stores. Using this estimate, what is the probability that a randomly selected online customer does not live within 50 miles of a physical store? .78 .50 .28 .22
Answer:
[tex]p' = 0.22[/tex]
Step-by-step explanation:
Given
[tex]p = \frac{78}{100}[/tex]
Required
Probability that a [tex]customer[/tex] does [tex]not[/tex] live [tex]within[/tex] [tex]50[/tex] miles
To do this, we make use of complement rule;
Which states that:
[tex]p + p' = 1[/tex]
Make p' the subject
[tex]p' = 1 - p[/tex]
So, we have:
[tex]p' = 1 - \frac{78}{100}[/tex]
Express fraction as decimal
[tex]p' = 1 - 0.78[/tex]
[tex]p' = 0.22[/tex]
pls help!! correct answer will be marked brainliest
Answer:
67.7
Step-by-step explanation:
Because it is the exact same as 67.7 angle n is. So it is 67.7 I went over this recently so I understand your pain!
(3x2+2−x3)−(−5x3+2x2+1)
Express the answer in standard form.
Enter your answer in the box.
Answer:
To write a polynomial in standard form, simplify and then arrange the terms in descending order.
ax²+bx+c
Simplify each term.
3x²+2−x³+5x³−2x²−1
Simplify by adding terms.
4x³+x²+1
Step-by-step explanation:
) As an ice cube melts its surface area is decreasing at a rate of 6cm2/sec. Find the rate at which the length of each side is decreasing at the moment when each side has length 2 cm. [Hint: a cube has 6 sides and each side has area x 2 where x is the side length]
Answer:
The rate of decreasing of the length is 0.25 cm/s.
Step-by-step explanation:
The surface area of the ice cube is:
[tex]A_{ice}=6x^{2}[/tex]
Where x is the side of the cube.
Let's take the derivative of A with respect to "t" to get the rate of change.
[tex]\frac{dA_{ice}}{dt}=12x\frac{dx}{dt}[/tex]
We know that dA/dt = 6 cm²/s and x is 2 cm, so we just need to solve it for dx/dt which is the rate change of the length.
[tex]6=12(2)\frac{dx}{dt}[/tex]
[tex]\frac{dx}{dt}=\frac{1}{4}\: cm/s[/tex]
Therefore, the rate of decreasing of the length is 0.25 cm/s.
I hope it helps you!
24% of what is 25? Round to the nearest tenth.
DO NOW
1)_Write an equation that represents the
line whose slope is 5 and has a (-2,4) on
the line.
Answer:
y=5x+14
Step-by-step explanation:
Plug this into the equation y-y1=m(x-x1) where m is the slope. y1 is equal to 4, x1 is equal to -2, and m is equal to 5. This will make the equation y-4=5(x--2). This is equal to y-4=5(x+2). Use the distributive property to get y-4=5(x)+5(2). Simplify to get y-4=5x+10. We want to isolate y so we have to add 4 to both sides. This will be equal to y=5x+10+4. Combine like terms to get y=5x+14. Therefore, the equation is y=5x+14.
If this helps please mark as brainliest