Answer:
B
Step-by-step explanation:
Divide $4.20 by 20 ounces and $6 by 30 ounces. You would get 0.21 and 0.2. So, B is the cheaper and better buy.
The half-life of a certain radioactive element is 35 hours. If there are 904 grams of this element, how much will be left after 70 hours? PLEASE HELP I MIGHT FAIL MATH.
===========================================================
Explanation:
The half-life is 35 hours. This means every 35 hours, the amount of the substance is cut in half. If we started with 100 grams, then 35 hours later, we will have 50 grams. Then another 35 hours later we will then have 25 grams, and so on.
In this case, we start with 904 grams and follow this sequence:
904, 452, 226, 113, ...
Each term is cut in half. Going from term to term it takes 35 hours each. The third term 226 is the result of waiting two half-lives, which is 2*35 = 70 hours that have elapsed total.
--------------
If you want to use a formula, then it would be
[tex]y = A*\left(\frac{1}{2}\right)^{x/H}[/tex]
where,
H = half-life duration (in this case, it is 35)
A = starting amount (which is 904 in this case)
x = amount of time that has elapsed (we will plug in x = 70)
y = final amount after x units of time has elapsed
note that x and H must have the same time unit. Both are in terms of hours in this case.
------------
So we will plug A = 904, x = 70, H = 35 into the formula to get...
[tex]y = A*\left(\frac{1}{2}\right)^{x/H}\\\\y = 904*\left(\frac{1}{2}\right)^{70/35}\\\\y = 904*(0.5)^{2}\\\\y = 904*(0.25)\\\\y = 226\\\\[/tex]
We see that x = 70 leads to y = 226. This means after 70 hours, there is 226 grams of the material left.
it me again I need help
Answer:
85%
Step-by-step explanation:
He hit it 17/20
We want that as a percent
Multiply by 5/5
17/20*5/5 = 85/100
Percent means out of 100
85%
Answer:
85
Step-by-step explanation:
P(hit) = 17/20 × 100
85%
Which choice is equivalent to the quotient shown here for acceptable values of x?
Answer:
(D)
Step-by-step explanation:
Equivalent expressions are expressions that have equal values
The equivalent expression of [tex]\sqrt{8x^2 } \div \sqrt{3x}[/tex] is [tex]\sqrt{\frac{8x}{3}}[/tex]
The expression is given as:
[tex]\sqrt{8x^2 } \div \sqrt{3x}[/tex]
Represent the expression as a quotient
[tex]\sqrt{8x^2 } \div \sqrt{3x} = \sqrt{\frac{8x^2}{3x}}[/tex]
Evaluate the quotient
[tex]\sqrt{8x^2 } \div \sqrt{3x} = \sqrt{\frac{8x}{3}}[/tex]
Hence, the equivalent expression of [tex]\sqrt{8x^2 } \div \sqrt{3x}[/tex] is [tex]\sqrt{\frac{8x}{3}}[/tex]
Read more about equivalent expressions at:
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A man wants to hike two trails. The length of one trail is 7.709 km. The length of the other trail is 9.0309 km. What is the total length of the two trails?
Answer:
Its addition I think so the answer would we 16.7399km for both trials
Step-by-step explanation:
Which of the following is equivalent to the complex number i8?
Choose 1 answer:
mi
1
-1
pl
Stuck? Watch a video or use a hint.
Report a problem
Answer:
1
Step-by-step explanation:
note that i² = - 1
Thus
[tex]i^{8}[/tex]
= i² × i² × i² × i²
= - 1 × - 1 × - 1 × - 1
= 1 × 1
= 1
The value of complex number is 1. Therefore, the option B is the correct answer.
What is the complex number?A complex number is the sum of a real number and an imaginary number. A complex number is of the form a + ib and is usually represented by z.
The given complex number is i⁸.
We know that, i²=-1
Now, i⁸ can be written as i²×i²×i²×i²
= -1×(-1)×(-1)×(-1)
= 1
Therefore, the option B is the correct answer.
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what is the solution of this system of linear equations? y=2x-3 2x=y-3
a. infinitely many solutions
b. (0, -3)
c. (0,0)
d. no solution
Answer:
d. no solution
Step-by-step explanation:
y=2x-3
2x=y-3
y=2x+3
Since these are two distinct parallel lines (same slope), they will never meet. Hence, no solution
Answer:
No solution :)
Step-by-step explanation:
Area and perimeter please
Answer:
185.68 for perimeter
1652.16 for area
Step-by-step explanation:
Please give me brainliest i hope you do well.!
3~ Please help. What is m∠BED?
Enter your answer as a number, like this: 42
Answer:
34
Step-by-step explanation:
There is the same opposite arch for both angles so they should be equal.
Hope this is helpful!
Here is the math question.
Answer:
X = 6
Step-by-step explanation:
Look at the attachment
can someone help with this please,, also explain if you can..
Answer:
story 1
Step-by-step explanation:
because it says 2 higher than -2 so -2+2 is 0
The parabola opens to the right. The focus is given as
F (p,0) and directrix x = -p. The distance between the
focus and point P is equal to the distance between the
directrex and point P. Continue to simplify the equation to
solve for y2. THE ANSWER IS 4px!! :)
Answer:
Step-by-step explanation:
We have that the focus is at (p,0) and that the directrix is x=-p. Take the point (-p,0) of the directrix. We know that the vertex of the parabola is at the middle point ot the line segment that joins the points (p,0) and (-p,0). To get the middle piont, we take the average coordinate by coordinate. That is, the middle point is [tex](\frac{-p+p}{2}, \frac{0+0}{2}) = (0,0)[/tex]. The general formula of a parabola of vertex (h,k) that opens to the right or to the left is given by
[tex](y-k)^2 = 4p(x-h)[/tex]
Where |p| is the distance from the focus to the vertex. If the parabola opens to the right, then p>0 and p<0 otherwise. In our case, h =0=k, so we get that
[tex]y^2 = 4px[/tex]
Answer:
y^2 = 4px
Step-by-step explanation:
edg 2021
find the measure of arc UT Given
a.168
b.192
c.84
d.96
Answer:
is there supossed to be a picture?
Step-by-step explanation:
Answer:
Can you please give us a picture!
Step-by-step explanation:
Hey, I need some help with this:
Give an example of what an inverse operation is and how they are used in solving equations
Inverse operations are an operation that undoes each other. For example, addition and subtraction, multiplication and division, squares and square roots.
For example, we have the equation:
2 + 2 = 4
The inverse of this equation is:
4 - 2 = 2
Best of Luck!
PLEASE HURRY!!IM BEING TIMED!WILL NAME BRAINLIEST!!
The table and graph show that each cracker in a package has 7 calories.
Crackers and Calories
crackers(X) calories(Y)
1 7
2 14
3 21
4 28
Which statement about the graph is true?
A.)The number of crackers is the dependent variable, and the number of calories is the independent variable.
B.)The point (42, 6) is on the line.
C.)The number of crackers are graphed on the y-axis, and calories are graphed on the x-axis.
D.)The two variables are the number of crackers and the number of calories.
(Picture not option!just a graph!)
Answer:
D.)The two variables are the number of crackers and the number of calories.
Step-by-step explanation:
The number of crackers is the independent variable, and the number of calories is the dependent variable.
The point (6, 42) is on the line
The number of crackers are graphed on the x-axis, and calories are graphed on the y-axis.
Using the image below to answer the question. Using the segment addition postulate find the value of X
The value of x is 13. Therefore, option B is the correct answer.
Given that, EF=7x+9, FG=3x+4 and EG=143.
What is a line segment?A line segment is a part of a line that connects two points which are considered to be its endpoints. It is the distance between two points that can be measured.
Now, EG=EF+FG
⇒143=7x+9+3x+4
⇒10x+13=143
⇒10x=130
⇒x=13
The value of x is 13. Therefore, option B is the correct answer.
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In a right triangle, sin (40 – x)° = cos (3x).What is the value of x?
Answer:
Value of x = 25
Step-by-Step Explanation:
~ Knowing that, in a right triangle ~
sin(40-x)=cos(3x) ⇒
sin(40-x)=sin(90-3x) ⇒
40 - x = 90 - 3x ⇒
40 - x +3x=90 - 3x +3x =>
40+2x=90 =>
2x=50 =>
x = 25
Now it is proven to be that,
x = 25
If you have a cube with a side length of ¼, how many cubes can fit into your rectangular prism? Explain.
Answer:
Step-by-step explanation:
No of cubes that can fit into rectangular prism = Volume of rectangular prism
Volume of cube
Find the volume of rectangular prism and divide that by the volume of cube
Find the volume of the cone
Answer:
12π
Step-by-step explanation:
Volume of the cone is πr^2 * h / 3
r = 3
h = 4
9π * 4 / 3 = 12π
Answer: 37.6991118
Step-by-step explanation:
WILL MARK BRAINLIEST!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
The cost for a business trip for 3 people is $1,975 per person. The business trip would use 79%
of the company’s travel budget. Find the total amount of money the company has budgeted for
travel. pls show work :)
Answer:
7500
Step-by-step explanation:
3*1975=5925
5925/.79=$7500
Answer:
5175
Step-by-step explanation:
1975*3=5925
5925/79%=7500 (Take one zero off)
750
5925-750=5175
The Company will pay 5175 in total. But 1725 per each person going.
What is the mean absolute deviation of 24,30,36,42,48,54
Of all 25 marbles in a bag, 3 of the marbles are white. What is the probability that a white marble will be randomly selected from the bag without looking? Write your answer as a percent.
Step-by-step explanation:
Total marbles = 25
Probability of white marble = 3/ 25 = 0.12
How many peaks does this graph have? Algebra 1
Answer:
One. see it for the ages of 50-59.
Find the interquartile range (IQR) of the data plot below
Answer:
3.5
Step-by-step explanation:
0 1 1 3 3 3 4 5 7
median= 3
Q1= 1
Q3= 4.5
4.5-1= 3.5
Answer:3.5
0,1,1,3,3,3,4,5,7
If you take out a loan that costs $561 60 over eight years at an interest rate of 9% how much was the loan for?
Answer:
The loan was $28184.81
Step-by-step explanation:
Let the loan amount be x
Rate of interest on Loan = 9%
Time = 8 years
Amount of loan over 8 years = $56160
Formula : [tex]A=P(1+r)^t[/tex]
Where A = Amount =56160
P = Principal = x
r = rate of interest = 9% = 0.09
t = time = 8 years
Substitute the values in the formula :
So,[tex]56160=x(1+0.09)^8[/tex]
[tex]\frac{56160}{(1+0.09)^8}=x[/tex]
$28184.81=x
Hence The loan was $28184.81
Find the area. Will mark brainliest.
Answer:
54 in^2
Step-by-step explanation:
9*12/2=54 in^2
Answer:
54
Step-by-step explanation:
The formula is 1/2*base*height which is 1/2*12*9. This is equal to 54.
hope this helps:)
The change in the x-coordinates of any two points on a line in the xy-plane is
the______
A. rise
B. slope
C. angle
D. run
Answer:
D. run
Step-by-step explanation:
The slope is given by
m = (y2-y1)/ (x2-x1) = rise/ run
The change in the x coordinates is the run
Triangle XYZ is a right triangle.
Use the drop downs to determine the length of the legs of the right triangle.
What is the length of Side X Z?
What is the length of Size Y Z?
Answer:
What is the length of Side X Z?
✔ 5
What is the length of Size Y Z?
✔ 6
The length of side XZ is 5 units.
The length of side YZ is 6 units.
What is a triangle?A triangle is a 2-D figure with three sides and three angles.
The sum of the angles is 180 degrees.
We can have an obtuse triangle, an acute triangle, or a right triangle.
We have,
To find the length of side XZ, we can use the distance formula, which is:
[tex]d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}[/tex]
Substituting the coordinates of X (-2, 4) and Z (3, 4), we get:
[tex]d(XZ) = \sqrt{(3 - (-2))^2 + (4 - 4)^2}\\= \sqrt{5^2 + 0^2}\\= \sqrt{25}\\= 5[/tex]
The length of side XZ is 5 units.
To find the length of side YZ, we can again use the distance formula with the coordinates of Y (3, -2) and Z (3, 4):
[tex]d(YZ) = \sqrt{(3 - 3)^2 + (4 - (-2))^2}\\= \sqrt{0^2 + 6^2}\\= \sqrt(36)\\= 6[/tex]
The length of side YZ is 6 units.
Thus,
The length of side XZ is 5 units.
The length of side YZ is 6 units.
Learn more about triangles here:
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What is the solution of the inequality shown
below?
c+2 < -1
Answer: c < -3
Step-by-step explanation: To solve for c in this inequality, your goal is the same as it would be you were solving an equation, to get c by itself on one side of the inequality.
Since 2 is being added to c, subtract
2 from both sides of the inequality.
On the left, the +2 and -2 cancel out
and on the right, -1 - 2 is -3.
So we end up with c < -3.
I have also graphed this for you below.
Is this SAS or Not SAS?
Answer:
SAS
Step-by-step explanation:
Simplify. Rewrite the expression in the form y^ny n y, start superscript, n, end superscript. y^{-4}\cdot y^{3}=y −4 ⋅y 3 =y, start superscript, minus, 4, end superscript, dot, y, cubed, equals
Answer:
[tex]y^{-4}\cdot y^3=y^{-1}[/tex].
Step-by-step explanation:
The given expression is
[tex]y^{-4}\cdot y^3[/tex]
We have to simplify the above expression. in form of [tex]y^n[/tex].
Using property of exponents, we get
[tex]y^{-4}\cdot y^3=y^{-4+3}[/tex] [tex][\because a^ma^n=a^{m+n}][/tex]
After addition of exponents, we get
[tex]y^{-4}\cdot y^3=y^{-1}[/tex]
Therefore, [tex]y^{-4}\cdot y^3=y^{-1}[/tex].
