A sample contains 300 grams of carbon-11, which has a half-life of 20 minutes.
Write a function, A, to represent the amount of carbon-11 remaining in the sample after T minutes.
Answer:
Step-by-step explanation:
A glass holds 189 milliliters of juice. How many liters will 36 glasses hold?
(A) 6,804
(B) 680.4
(C) 68.04
(D) 6.804
Answer:
A
Because you have to Multiply
189 by 36
SOMEONE PLEASE HELP ME !!! ASAP
Answer:
a; line BC corresponds to line FG
Step-by-step explanation:
we know that a is correct as after translating BC and FG are on the same side of the rectangle and have the same length
Write answer as an order pair
y=3x-4
Y=2 or 5x + 9
1) (1, -1), (0, -4), (3, 5), and (-2, -10).
2) (5, 2) and (-8, 2)
The possible results of an experiment are called its
Find the values of d given the area of the quadrilateral. A=48 ft2
Answer:
x=12
Step-by-step explanation:
the area of a triangle is 1/2hb. so half of the shape's area would be:
(1/2)4x12=24
and 24x2=48
A self-serve frozen yogurt restaurant charges its customers according to the weight of their filled frozen yogurt cup. So, the amount they charge is directly proportional to the weight of the purchase. If they charge $5.04 for a 12-ounce cup, how much do they charge for a cup weighing 8 ounces?
Which operation should be used to solve x/3 = 15 ?
Answer:
Multiplication
Step-by-step explanation:
[tex]\frac{x}{3} =15[/tex]
To get the 3 out of the denominator, you would have to multiply each side by 3:
[tex]3*\frac{x}{3} =3*15\\x=45[/tex]
Answer:
X=45
Step-by-step explanation:
Multiply 3 on both sides
1/2 of Cindy's money is equal to 2/3 of Emily's money. They have $105 altogether. How much money does each of them have?
Answer:
Cindy has $45 and Emily has $60
Step-by-step explanation:
let x be the amount of money , then
[tex]\frac{1}{2}[/tex] x + [tex]\frac{2}{3}[/tex] x = 105
multiply through by 6 ( the LCM of 2 and 3 ) to clear the fractions
3x + 4x = 630 , that is
7x = 630 ( divide both sides by 7 )
x = 90
Cindy has [tex]\frac{1}{2}[/tex] × 90 = $45
Emily has [tex]\frac{2}{3}[/tex] × 90 = $60
what is the lie fact about sociology
Answer: Social science or sociology is considered as science but it is a pseudoscience.
Step-by-step explanation:
The sociology is considered as science as the study of social class, ethnicity, and religion abide by people of the society. Like, other factual sciences like chemistry, biology, and physics the facts cannot be rectified or verified by experimental trials. Instead, it is based on assumption and day to day experience with surrounding social environment. Thus, we can say that sociology is a science is a lie.
Calculate the standard error. May normality be assumed? (Round your answers to 4 decimal places.)
Answer:
EX: 1.5436666=1.5437
1.12455555=1.1246
1.29244827=1.2924
The length of a rectangle is 20sq ft. Find the length and the width
Answer:
Step-by-step explanation:
5 or 4 can be the length. And 5 and 4 can be the width.
length: 5, 4, 2, 10, etc.
width: 5, 4, 2, 10, etc.
the numbers listed above are options. Multiply the numbers.
And
.
there are many more, but these are commonly used. Hope it helps!
Subtract 7a
2
-4ab+2b
2
from 3ab+7a2+2b2
Answer:
Step-by-step explanation:
3ab + 7a² + 2b² - (7a² - 4ab + 2b²) = 3ab + 7a² + 2b² - 7a² + 4ab - 2b²
Now combine like term. Like terms have same variable with same power.
= 3ab + 4ab + 7a² - 7a² + 2b² - 2b²
= 7ab
Franco grew 2,820 flowers with 47 seed packets. With 67 seed packets, how many total flowers can Franco have in his garden? Assume the relationship is directly proportional.
Answer:
941
Step-by-step explanation:
Please help me with this
Answer:
Step-by-step explanation:
to make life easier, i'll give both angles letters
Angle ABC= x
Angle CBD= y
x= y(1/3)
x+y=180
now substitute
y(1/3) +y =180
y(4/3) =180
y(4/3) * (3/4) = 180 * (3/4)
y= 135
CBD is 135 degrees
what value will(i)raised to power 8 give?
[tex]i = \sqrt{ - 1}[/tex]
[tex]i {}^{2} = - 1[/tex]
[tex]i {}^{ 3} = - 1 \sqrt{ - 1} [/tex]
[tex]i {}^{4} = 1[/tex]
[tex]i {}^{8} = i {}^{4} \times i {}^{4} = 1 \times 1 = 1[/tex]
Find the values of a, b, and c such that the equation y=ax2+bx+c has ordered pair solutions (1,16), (−1,−2), and (0,−1). To do so, substitute each ordered pair solution into the equation. Each time, the result is an equation in three unknowns, a, b, and c. Then solve the resulting system of three linear equations in three unknowns, a, b, and c.
Answer:
c = -1
b = 9
a = 8
Step-by-step explanation:
16 = a × 1² + b × 1 + c
-2 = a × (-1)² + b × (-1) + c
-1 = a × 0² + b × 0 + c .........-> -1 = c
16 = a + b + c
-2 = a - b + c
16 = a + b - 1
-2 = a - b - 1
a + b = 17
a - b = -1 .......-> a = b - 1 ........ a = 9 - 1 = 8
(b - 1) + b = 17
2b - 1 = 17
2b = 18 .......-> b = 18/2 = 9
Answer:
y = 8x² +9x -1
Step-by-step explanation:
The coefficients of the quadratic function can be found from three points by substituting the point values into the equation and solving for the coefficients.
The equation we want to find coefficients for is ...
y = ax² +bx +c
For point (1, 16), the equation is 16 = a(1²) +b(1) +c
For point (-1, -2), the equation is -2 = a(-1)² +b(-1) +c
For point (0, -1), the equation is -1 = a(0) +b(0) +c
__
The last of these equations gives a value for c (c=-1). Substituting that into the other two gives the equations in a and b as ...
a + b = 17
a - b = -1
Adding the two equations gives ...
2a = 16 ⇒ a = 8
Subtracting the second from the first gives ...
2b = 18 ⇒ b = 9
Then the desired quadratic equation is ...
y = 8x² +9x -1
Which of the following is a secant?
Answer:
Line EF is a secant. I hope this helps!
Answer:line ef
Step-by-step explanation:
A group of 49 hikers registered for an 8-day trekking trip. The organizers arranged food to last for the entire trip. A few last minute registrations saw more hikers join the expedition. As a result, the food lasted only for 7 days. How many hikers in all went trekking?
Answer:
56 people
Step-by-step explanation:
49 times 8= 392
392 divided 7= 56
what is 12.8% of 1,300?
Answer:
166.4
Step-by-step explanation:
Percentage of 12.8% of 1300 = ? 12.8% of 1300 is equivalent to multiplying them: 12.8% × 1300. 12.7% of 1300 = ? 12.9% of 1300 = ? 1% of 1300 = ? Detailed ...
June is driving from Brookline, Massachusetts to Brooklyn, new york. The cities are 200 miles apart. Pretend June lives in a world in which she encounters no traffic jams and can drive at a constant speed of 50mph the entire way. Consider the following function. the distance June has traveled, c, is a function of her driving time, t.
It took June 4 hours to get from Brookline to Brooklyn.
Time calculationGiven that June is driving from Brookline, Massachusetts to Brooklyn, New York, and the cities are 200 miles apart, and she can drive at a constant speed of 50mph the entire way, to determine the function that solves the time June takes to complete the route, the following calculation must be made:
C / Constant speed = T200 / 50 = T4 = T
So it took June 4 hours to get from Brookline to Brooklyn.
Learn more about time calculation in https://brainly.com/question/26707195
Answer:
4 hours
the time(t)=4
Find the missing side lengths.
Answer:
a.180-10
[tex]180 - 10 \sqrt{3 } - 60[/tex]
=use your calculator
Find the mean of the sampling distribution of sample means using the given information. Round to one decimal place, if necessary. μ=51 and σ=9; n=36
The sample mean of the distribution is an estimate of the population mean
The mean of the sampling distribution of sample means is 51
How to determine the meanThe given information are:
Population mean, μ = 51
Standard deviation, σ = 9
Sample size, n = 36
The sample mean is an estimate of the population mean.
So, we have:
[tex]\bar x = \mu[/tex]
Substitute known values
[tex]\bar x = 51[/tex]
Hence, the mean of the sampling distribution of sample means is 51
Read more about sampling distributions at:
https://brainly.com/question/15713806
Write the equation of the line that is perpendicular to 3x+2y=8 and goes through the point (-5,2)
Answer:
[tex]\displaystyle y=\frac{2}{3}(x+5)+2[/tex]
Step-by-step explanation:
We need to find the equation of the line perpendicular to the line 3x+2y=8 and passes through (-5,2).
The given line can be expressed as:
[tex]\displaystyle y=-\frac{3}{2}x+4[/tex]
We can see the slope of this line is m1=-3/2.
The slopes of two perpendicular lines, say m1 and m2, meet the condition:
[tex]m_1.m_2=-1[/tex]
Solving for m2:
[tex]\displaystyle m_2=-\frac{1}{m_1}[/tex]
[tex]\displaystyle m_2=-\frac{1}{-\frac{3}{2}}[/tex]
[tex]\displaystyle m_2=\frac{2}{3}[/tex]
Now we know the slope of the new line, we use the slope-point form of the line:
[tex]y=m(x-h)+k[/tex]
Where m is the slope and (h,k) is the point. Using the provided point (-5,2):
[tex]\boxed{\displaystyle y=\frac{2}{3}(x+5)+2}[/tex]
Given f (x) = x2 + 3x – 4 and values of the linear function g(x) in the table, what is the range of (f + g)(x)?
x –6 –3 –1 4
g(x) 13 4 –2 –17
ℝ
[–3, 3]
(–∞, –9]
[–9, ∞)
The range of function (f + g)(x) is (-9, ∞) option (D) is correct the linear function g(x) is g(x) = -3x - 5
What is a function?It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
We have a function:
f(x) = x² + 3x - 4
The domain of the f(x) is all real numbers
The range of the g(x) is [-6.25, ∞)
g(x) is shown in the table:
x –6 –3 –1 4
g(x) 13 4 –2 –17
The linear function g(x) is:
[tex]\rm g(x) = \ -13=\dfrac{\left(4-13\right)}{-3+6}\left(x+6\right)[/tex]
g(x) = -3x - 5
(f + g)(x) = f(x) + g(x)
= x² + 3x - 4 - 3x - 5
(f + g)(x) = x² - 9
The domain of the function is all real numbers.
The range of the function (-9, ∞)
Thus, the range of function (f + g)(x) is (-9, ∞) option (D) is correct the linear function g(x) is g(x) = -3x - 5
Learn more about the function here:
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What is the 6th term in the following sequence?
48, 40, 32, 24,
A.0
B.16
C.20
D.12
Answer:
should be 8 unless the first term is 56? or the question asks for 5th term which is 16
Step-by-step explanation:
Difference between 1st term and 2nd:
48-40 =8
Difference between 2nd term and 3rd:
40-32 =8
Clearly the jump between 1 point and the next is subtracting 8 or adding -8:
so 5th term will
24-8 =16
6th term:
16-8 =8
Answer:
16
Step-by-step explanation:
d=8
a=T1-d
48-8=4
T6=T5-d=8
Can you help me please i will give you a branlist and make sure it roght
Answer:
x=20
Step-by-step explanation:
A(n) ______ can be used to make hand measurements of angles of interest with the joint centers forming the vertices of the angles between adjacent body segments.
Answer:
The blank should say 'protractor'.
Step-by-step explanation:
I do not have one sorry,
A shadow of a 4 foot pole is 10 feet long. A tower is 200 feet tall. What is the length of the shadow of the tower?
Answer:
27 feet
Step-by-step explanation:
We can set up a proportion comparing the height of each object to the length of the shadow.
h/s
h/15=18/10
Cross multiply.
10*h=18*15
10h=270
Use the multiplicative Inverse
10/10=270/10
h=27
the carpenter is tasked to fence a trapezoid lot whose sides are as follows : 9x, 8x-2, 17x-6 and 5x+1, where x represents the length of the piece of wood in meters that will be used. what expression could represent the total length of trapezoid to be fenced?
not necessarily. The two sides of equal length could be adjacent sides.