Write each percentage as a fraction in simplest form.
1. 50% 2. 99% 3. 15%
4. 200%
Answer:
1. 1/2
2. 99/100
3. 3/20
4. 2
A child gets 1 egg on their
1st birthday. They get 2 on
their 2nd, 3 on their 3rd etc.
How many years will it be
before they have received 91
eggs in total?
Answer:91 years
Step-by-step explanation:
A lab currently has 70 mg of radioactive material that decays at 3.5% per year. Federal regulation for the substance says that the material must be safely stored until it reaches its half-life, at which time the material can be disposed.
How many years will the lab have to safely
store the material before disposal?
Answer:
The lab will have to wait 19.45 yers to safely store the material before disposal.
Step-by-step explanation:
Exponential equation for substance decay:
A exponential equation for the amount of a substance after t years is given by:
[tex]A(t) = A(0)(1-r)^{t}[/tex]
In which A(0) is the initial amount and r is the decay rate, as a decimal.
Decays at 3.5% per year.
This means that [tex]r = 0.035[/tex]
So
[tex]A(t) = A(0)(1-r)^{t}[/tex]
[tex]A(t) = A(0)(0.965)^{t}[/tex]
How many years will the lab have to safely store the material before disposal?
It needs to reach half-life, that is, t for which A(t) = 0.5A(0). So
[tex]A(t) = A(0)(0.965)^{t}[/tex]
[tex]0.5A(0) = A(0)(0.965)^{t}[/tex]
[tex](0.965)^t = 0.5[/tex]
[tex]\log{(0.965)^t} = \log{0.5}[/tex]
[tex]t\log{0.965} = \log{0.5}[/tex]
[tex]t = \frac{\log{0.5}}{\log{0.965}}[/tex]
[tex]t = 19.45[/tex]
The lab will have to wait 19.45 yers to safely store the material before disposal.
Please help I need it
Answer:
A. Yeah
Step-by-step explanation:
In the diagram below, O is circumscribed about quadrilateral ABCD. What is
the value of ?
Answer:
21
Step-by-step explanation:
Trust
The value of x is 21 because, in a quadrilateral, the sum of the opposite angles is equal to 180 degrees. option (A) is correct.
What is quadrilateral?
It is defined as the four-sided polygon in geometry having four edges and four corners and two pairs of congruent sides.
We have:
In the diagram below, O is circumscribed about quadrilateral ABCD.
In a quadrilateral, the sum of the opposite angles is equal to 180 degree
5x + 75 = 180
5x = 105
x = 21
Thus, the value of x is 21 because, in a quadrilateral, the sum of the opposite angles is equal to 180 degrees. option (A) is correct.
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Which expressions are equivalent?
1. 3x-7y and -7y+3x
2. 3x-7y and 7y-3x
3. 3x-7y and 3y-7x
4. 3x-7y and-3y+7x
Answer:
1. 3x-7y and -7y+3x
Step-by-step explanation:
1. 3x -7y and -7y +3x
This is correct because the terms remain unchanged. The -7y stays a -7y and the positive 3x stays a positive 3x.
2. 3x -7y and 7y -3x
This is not correct because the signs of the 3x and 7y switch. For the expressions to be equivalent, the signs must remain unchanged.
3. 3x -7y and 3y -7x
This is not correct because the variables of the 3 and 7 switched. The variables need to stay the same, for the expressions to be equivalent.
4. 3x-7 and -3y+7x
This is not correct because both the variables and the signs of the expressions changed. Both the signs and variables would need to stay the same in order to be equivalent.
solve r/13.7 = 5 for x
please help asap
Answer: x=68.5
Step-by-step explanation: You multiply 13.7 and 5 and you should get 68.5 as x.
Which ordered pair does NOT lie on the graph of the exponential function
f(x) = 3(1/4)^x
A. (12, 0)
B. (-2, 48)
C. (2, 3/16)
D. (0, 3)
I labeled them all on Desmos & they all seem to lie on it, which is why I need help.
The ordered pair does not lie on the graph of the exponential function
is (12, 0).
Option A is the answer.
What is a function?A function has an input and an output.
A function can be one-to-one or onto one.
It simply indicated the relationships between the input and the output.
Example:
f(x) = 2x + 1
f(1) = 2 + 1 = 3
f(2) = 2 x 2 + 1 = 4 + 1 = 5
The outputs of the functions are 3 and 5
The inputs of the function are 1 and 2.
We have,
To check whether an ordered pair lies on the graph of the exponential function f(x) = [tex]3(1/4)^x,[/tex]
We need to substitute the values of x and y into the function and see if the equation holds true.
A. (12, 0)
Substituting x = 12 and y = 0 into the function, we get:
[tex]f(12) = 3(1/4)^{12} = 0.000002861[/tex]
This does not equal y = 0, so (12, 0) does not lie on the graph of the function.
B. (-2, 48)
Substituting x = -2 and y = 48 into the function, we get:
[tex]f(-2) = 3(1/4)^{-2} = 48[/tex]
This does not equal y = 48, so (-2, 48) does lie on the graph of the function.
C. (2, 3/16)
Substituting x = 2 and y = 3/16 into the function, we get:
[tex]f(2) = 3(1/4)^2 = 3/16[/tex]
This equals y = 3/16, so (2, 3/16) does lie on the graph of the function.
D. (0, 3)
Substituting x = 0 and y = 3 into the function, we get:
[tex]f(0) = 3(1/4)^0 = 3[/tex]
This equals y = 3, so (0, 3) does lie on the graph of the function.
Therefore,
The ordered pair does not lie on the graph of the exponential function
is (12, 0).
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Tyrell buys a sandwich for $7 and some cookies that cost $0.75 each. To use his debit card, Tyrell must make a purchase at least $10. how many cookies does he buy
help please i’ll give extra points
Answer:
P would be reflected into quadrant 4.
Step-by-step explanation:
Answer:
Quadrant 4
Step-by-step explanation:
The quadrant under P is quadrant 4. Imagine putting a mirror on the x-axis, where would P be? It would be on the fourth quadrant, the quadrant underneath P.
Have a nice day!
-7 2/3+(-5 1/2) +8 3/4=
Step-by-step explanation:
Please refer to the attachment
GH is tangent to both circle A and circle E. Determine the length of HE.
01) 27 units
2) 3 units
03) 1.8 units
4) 4 units
Answer:
3 unit is the correct answer
Answer:
3 units
Step-by-step explanation:I took the test
5th grade math. Correct answer will be marked brainliest:
Answer:
(6,6)
Step-by-step explanation:
Answer:
(6,6)
Step-by-step explanation:
hope this helps have a great day.
Write an equation in slope-intercept form for the line with slope -3/2 and y -intercept 2 .
Answer:
Y= -3/2x + 2
If the y-intercept was negative it would be y= -3/2-2
When f ( x ) = 9 x 2 + x − 5 , evaluate f ( − 4
Answer:
is that supposed to be a squared x?
9(-4)^2 + (-4) - 5 = 135
9(-4) × 2 + (-4) - 5 = -81
id.k which one is right sorry
What is 0.5 (0.1)(1/2)
Answer:
0.025
Step-by-step explanation:
Hey all!
Please only answer if you know the answer, the comment section is right below. Please don't waste my points!
Also, please show all of your work, you are trying to help me better understand the concept, not just give me the answer.
The image is down below. Show work! Thanks!
Answer:
65°Step-by-step explanation:
Use the law of cosines:
cos C = (25² + 27² - 28²)/(2*25*27)cos C = 0.4222m∠C = arccos 0.4222m∠C = 65°What is the maximum value and what is the point the maximum value is at?
9514 1404 393
Answer:
z = 47 at (x, y) = (3, 8)
Step-by-step explanation:
In the attached graph, the inequalities are graphed as their opposites, so the feasible solution region is the white area of the graph. The dashed boundary lines are part of the feasible region. The vertex of the feasible region that is farthest from the origin is ...
(x, y) = (3, 8)
The value of z there is 5·3 +4·8 = 47.
The maximum value of z is 47 at the point (x, y) = (3, 8).
Select the correct answer. The hiking club is getting new T-shirts and will vote to choose the design. Marianna and Chloe are each designing a T-shirt using a computer program. Marianna’s design features an image of the mountains, with the peaks and valleys modeled by function m, where x is the horizontal distance, in inches, from the left edge of the design. Chloe’s design also features an image of the mountains, with the peaks and valleys modeled by function c, where x is the horizontal distance, in inches, from the left edge of the design. Which T-shirt design has the lowest valley floor over the first 6 inches of the design? Both designs have valley floors at the same height over the first 6 inches of the design. Marianna’s design doesn’t have a valley floor over the first 6 inches of the design. Chloe’s design has the lowest valley floor over the first 6 inches of the design. Marianna’s design has the lowest valley floor over the first 6 inches of the design.
Answer:
Step-by-step explanation:
What are the choices
Answer:
mariannas design has the lowest valley floor over the first 6 inches of the design
Step-by-step explanation:
correct.
cacula las dimensiones de un rectangulo sabiendo que su area es de 66cm y su base mide 5cm mas que su altura
Answer:
Calcular las dimensiones de un rectángulo, sabiendo que es 4cm más largo que ancho y ... Área = base•altura ... Encuentra más respuestas.
Step-by-step explanation:
Answer:
how do you translate?
Step-by-step explanation:
hi, i need help with this lol, i'm bad at math
Answer:
-44
Step-by-step explanation:
Since a is -2 and y equals 7 we can plug them both into the expression to get -2 - 6(7) which after simple math results in the answer of -44.
How do you graph x+6y=0
Answer:
We need to put this equation into either form of a line, pererably, slope intercept form!
Step-by-step explanation:
To do this, out goal is to get y alone.
1. We subtract x on both sides.
2 We divide 6 on both sides.
3. Our answer is y= -x/6 ( negative x divided by 6)
4. The y-intecept value is when x is equal to zero, so plug in 0 for x and solve for y.
5. The y intercept is (0,0)
6. From (0,0) point, you go down -1 and move 1 to the right each time!
The graph will be a line with a slope of -1/6 that passes through the points (0,0), (6,-1), and (-6,1).
What is Graph?Graph is a mathematical representation of a network and it describes the relationship between lines and points.
To graph this equation, start by rearranging it to solve for y.
y = -x/6
Next, plot a few points to fill in the graph.
when x is 0,
y is 0.
When x is 6,
y is -1, and
when x is -6, y is 1.
Finally, connect the plotted points with a straight line.
The final graph will be a line with a slope of -1/6 that passes through the points (0,0), (6,-1), and (-6,1).
Hence, graph will be a line with a slope of -1/6 that passes through the points (0,0), (6,-1), and (-6,1).
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How can postulates and theorems relating to similar
and congruent triangles be used to write a proof?
Please help ASAP. Thanks so much
Answer:
its A
Step-by-step explanation:
Please help 30 points pls
Answer:
4.75b; 8
Step-by-step explanation:
Area of triangle: height ÷ 2 × base
38 = 9.5 ÷ 2 × b
= 4.75 × b
38 = 4.75b
b = 38 ÷ 4.75
b = 8
Answer:
4.75 & 8
Step-by-step explanation:
Hope this helps
Use the data on the dot plot to answer the question.
Answer:
5
Step-by-step explanation:
x < 7
Which means 6 and below
only 5 people slept for less than 7 hours
Answer:
5 people
Step-by-step explanation:
Cuz you have to look what’s to the left of 7 and count the dots in 5 and 6
PLEASE I NEED HELP I GOT A PUPPY AND IM EXHAUSTED HE DOESNT SLEEP AT NIGHT
Answer:
False
Step-by-step explanation:
Plug 16 into the function as x
16+12=28
4≠28
a patients dose of medication increased from 100mg to 150mg. What is the percent increase in medication?
Answer:
The answer is 50% increase. Hope this helped!
Step-by-step explanation:
I need help with this problem please
Answer:
-9
Step-by-step explanation:
Remove parentheses.
9(−1)2−7
Subtract 77 from 22.
9(−1)−5
Rewrite the expression using the negative exponent rule b−n= 1/bn
91(−1)5
Raise −1 to the power of 5.
9(1/-1)
Divide 1 by −1.
9⋅−1
Multiply 9 by −1.
−9
Point P on a coordinate plane, located 3 units to the left of the vertical axis and 2 units below the horizontal axis.
A. (–3, –2)
B. (–3, 2)
C. (–2, –3)
D. (–3, –3)
Answer:
A. (-3,-2)follow me please