Answer:
approximately 27 grams
Work Shown:
Half life formula
y = A*(0.5)^(x/H)
where,
A = starting amount = 30 grams
H = half life period = 90 years
x = number of years that pass by = 12
y = amount left over after x years
Let's plug the values for x, A and H into the formula to find y
y = A*(0.5)^(x/H)
y = 30*(0.5)^(12/90)
y = 27.3516746567466
y = 27 .... rounding to the nearest whole number
Justin is building a ramp in the shape of a right triangle to practice skateboarding. The ramp has a height of 3 feet and diagonal of 7 feet. Which value best represents the length of the ramp.
Answer:
10ft
Step-by-step explanation:
Answer:
6.324
Step-by-step explanation:
a2+b2=c2
32+b2=72
9+b2=49
-9= -9
[tex]\sqrt{40}[/tex]=6.324
y is directly proportional to x^ . if y=12 when x=2 find, y when x=5
Answer:
The value of y = 30 when x = 5
Step-by-step explanation:
We know that when 'y' varies directly proportional to 'x', we get the equation
y ∝ x
y = kx
k = y/x
where k is called the 'constant of direct variation'.
We are given
y = 12 when x = 2
so substituting y = 12 and x = 2 in the equation
k = y/x
k = 12/2
k = 6
Thus, the value of k = 6
We have to determine the value of y when x = 5
so substitute x = 5 and k = 6 in the equation
y = kx
y = 6(5)
y = 30
Therefore, the value of y = 30 when x = 5
What fraction of an
hour is 25 mintues
give your
answer in its
Simplest form
Answer:5/12
Step-by-step explanation:
25/60 = 5/12
The polygons are similar. The area of one polygon is 100 in. Find the area of the other polygon.
Is that all they give because if so I'd say 100 but if there is more can u add that
which fraction is equivalent to 70/100
Answer:
710
Step-by-step explanation:
2
x 6 =
5
What is ttsgsfsyysyyzhzjkanabzhhzhxvgxgxgvxbxbxvxvvxvxvxvxushd
Answer:
what's that? lol
Step-by-step explanation:
should I make the question? lol
2×6×5= 60
great day :)
The mean, as a measure of location, would be inappropriate for which of the following? A. Ages of adults at a senior citizen center. B. Number of pages in textbooks on statistics. C. Incomes of lawyers. D. Marital status of college students at a university.
Answer:
D. Marital status of college students at a university.
Step-by-step explanation:
The mean, as a measure, is appropriate when we are dealing with quantitative measures, that is, the measure that we are dealing with is a number.
In this question:
Options A(age), B(number of pages) and C(income) are all quantitative, so the mean is appropriate.
In Option D, the marital status is a qualitative measure(married, dating, single), so the mean is innapropriate, and this is the answer,
yo can anybody answer this for me
Answer: m=9
Step-by-step explanation: add 16 to both sides, Which gives you 36.Now you have 4m=36 ,so you divide 4 on both sides which gives you 9 .So it is m=4
What is the solution of the equation?
4(y+2)=32
A 4
B 6
C -10
D 10
Answer:
[tex]\boxed{\sf{y=6}}[/tex]The answer is B. 6.Step-by-step explanation:
Use a distributive property.
Isolate the term of y from one side of the equation.
Distributive property:[tex]\Longrightarrow: \sf{A(B+C)=AB+AC}[/tex]
⇒: 4(y+2)=32
First, divide by 4 from both sides.
[tex]\Longrightarrow:\sf{\dfrac{4(y+2)}{4}=\dfrac{32}{4} }[/tex]
Solve.
⇒ 32/4=8
⇒ y+2=8
Subtract by 2 from both sides.
[tex]\Longrightarrow \sf{y+2-2=8-2}[/tex]
Solve.
Subtract the numbers from left to right.
8-2=6
y=6
Therefore, the correct answer is B. 6.I hope this helps you! Let me know if my answer is wrong or not.
Combine the two expressions found in parts C and D to relate a, c, A, and C. Rewrite the expression as an equality between two ratios. Show your work.
Answer:
BD = c sin A and BD = a sin C.
Therefore, a sin C = c sin A.
Divide both sides by sin A × sin C to get A/sin A = C/sin C
Step-by-step explanation:
Thomas rolled a number cube with sides labeled 1 through 6. What is the
probability that Thomas rolled either a 2 or a 5?
(А)
1
6
B
1
3
D
4
6
Answer:
i think its c
Step-by-step explanation:
I need help please! Ignore the answer I clicked
Answer:
its A
Step-by-step explanation:
Answer:
I think you chose the correct answer !!
Step-by-step explanation:
Question 4 of 10
What is the measure of 2 G?
6
6
28
E
A. 28°
B. 34°
C. 40°
O
O
D. Cannot be determined
Answer:
28° A
Step-by-step explanation:
we have isosceles triangle, which's 2 sides and 2 angles are equal.
we have two equal sides, so another side is base.
base angles are equal, so if E=28 thenG=28 too
Answer:
28 degrees, it A
Step-by-step explanation:
I just took the test
list the next four multiples of each fraction 1/4
Answer:
It should be easy to complete.
Step-by-step explanation:
1/2
The next four multiples of 1/4 are:
1/2, 3/4, 1, 5/4
What is number series?A number series is a sequence of numbers that follow a specific pattern or rule. The pattern can be based on a mathematical formula or a logical rule, such as adding or subtracting a fixed amount, multiplying or dividing by a constant, or using a combination of operations.
To find the multiples of 1/4, we can multiply it by whole numbers:
1/4 x 1 = 1/4
1/4 x 2 = 2/4 = 1/2
1/4 x 3 = 3/4
1/4 x 4 = 4/4 = 1 (which is equivalent to 4/4)
Therefore, the next four multiples of 1/4 are:
1/2, 3/4, 1, 5/4.
To know more about the number series follow
https://brainly.com/question/24205483
#SPJ3
Please Help ASAP 10 Points and Brainliest
Describe a situation that involves three parts and has a total of 24 outcomes in the sample space.
Thank you so so much for your help
Answer:
there are 3 dogs and 8 teams
Step-by-step explanation:
will i get this right 18(1+4)
Answer:
90
18(1+4)
18(5)
90
Two data sets are summarized in the box plots shown.
Plot A
Plot B
H
H>
9 10 11 12 13 14
4 5
6
7
8
9 10 11 12 13 14 15 16
45
6
Z
8
Which statements comparing the two box plots are correct? Choose all the correct statements.
A. The mean of plot B is greater than the mean of plot A.
B. The range of plot B is greater than the range of plot A.
C. The median of plot B is the same as the median of plot A.
D. The interquartile range of plot B is the same as the interquartile range of plot A.
Answer: A,D
Step-by-step explanation:
I took the test
Help please and thank you
8 is 91 because 13•7 is 91 inside is needed 91 tiles
Answer:
9. 40
Step-by-step explanation:
they are asking for the perimeter
so, 13+7+13+7=40
Which expression is equivalent to the given expression?
4 ln r + In 3 – In r
O A. ln(3.13)
B. ln(3.1 + 3)
OC. In(x4 - x + 3)
D. ln(111)
The required simplified value of the given expression is ln[3x³]. Option A is correct.
What is simplification?The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
here,
Given expression,
= 4 lnx + ln 3 - ln x
= ln x⁴ + ln [3 / x] [since ln a - ln b = ln [a / b]]
= ln [3x⁴/x] [since lna + ln b = ln ab]
= ln[3x³]
Thus, the required simplified value of the given expression is ln[3x³]. Option A is correct.
Learn more about simplification here:
https://brainly.com/question/12501526
#SPJ5
In the diagram, ATPR~AXPZ. Find the length of side PZ.
T
25
15
Х
9
P
s
Y
9
15
N
R
The length of side PZ is
Answer:
PZ = 15
Step-by-step explanation:
Similar Triangles
Two triangles are similar if all of their corresponding side lengths are proportional to the same scale factor.
It's given triangles TPR and XPZ are similar, thus we can find the scale factor by comparing two corresponding sides with known lengths.
Sides TR and ZX are corresponding and the proportion of their side lengths is 15/9. The same proportion must be satisfied by the sides TP and XP:
[tex]\displaystyle \frac{15}{9}=\frac{25}{PX}[/tex]
PX and PZ are congruent, thus:
[tex]\displaystyle \frac{15}{9}=\frac{25}{PZ}[/tex]
[tex]\displaystyle PZ=25*\frac{9}{15}[/tex]
Calculating:
PZ = 15
what is 25% of 12???
Answer:
3
Step-by-step explanation:
%25 is 1/4
1/4 of 12 is 3
Answer:
3
Step-by-step explanation:
25% is equal to 1/4. Of means multiply. Therefore, you would just multiply 1/4 and 12. Your answer should be 3.
What is the distance between points (-3,1) and (2,3)
Answer:
√ 17
The result can be shown in multiple forms.
Exact Form:
√ 17
Decimal Form:
4.12310562
Step-by-step explanation:
(Use the distance formula to determine the distance between the two points.)
First, substitute the actual values of the points into the distance formula.
Then, just simplify
Don't take my word for it. Hope this helps :)
6 - (-6) I DONT understand this question
Tara took a total of 45 quizzes over the course of 9 weeks. After attending 10 weeks of school this quarter, how many quizzes will Tara have taken in total? Assume the relationship is directly proportional.
Answer:
After 10 weeks, Tara will have taken 50 quizzes.
Step-by-step explanation:
Given that Tara took a total of 45 quizzes during the 9-week course, to determine the number of quizzes she will take after 10 weeks, taking into account that it is a proportional relationship, the following calculation must be performed:
(45/9) x 10 = X
5 x 10 = X
50 = X
So, after 10 weeks, Tara will have taken 50 quizzes.
Please help I’ll give brainliest
Answer:
the answer which you have opted is perfect
Factor the expression 26x + 13
Audrey and Megan are decorating for a birthday party. Audrey hangs 4 streamers in the same amount of time that Megan hangs 6. If Audrey hangs 12 streamers, how many will Megan hang?
Can you do it in tape diagram form or send me a link to the interactive?
11 8/7 +3 5/1 − ? = 15 PLZ I NEED IT FASTER THAN FAST
Answer:
5 1/7 or 36/7
Step-by-step explanation:
11 8/7+3 5/1-x=15
12 1/7+8-x=15
12 1/7+8-15=x
20 1/7-15=x
5 1/7=x
What is the midpoint of the class 15-20
What is the difference of the polynomials?
(4x - x3 + 3) - (2x2 – 3x3 + 1)
-3x3 + 3x2 + 4x + 2
2x3 - 2x2 + 4x + 4
- 4x3 + 2x2 + 4x + 2
2x3 - 2x2 + 4x + 2
Answer:
Option D
Step-by-step explanation:
(4x- x^3+3) -(2x^2-3x^3 +1)
-x^3+3x^3-2x^2+4x +3-1
2x^3-2x^2+4x+2