Answer:
XY would also be 7 centimeters which is answer D.
Step-by-step explanation:
This is a parallelogram, meaning that the adjacent sides are congruent. As well, the triangles making up the figure are congruent, so it makes sense that XY would also equal 7 centimeters.
Researchers are monitoring two different radioactive substances. They have 300 grams of substance A which decays at a rate of 0.15%. They
have 500 grams of substance B which decays at a rate of 0.37%. They are trying to determine how many years it will be before the substances
have an equal mass.
If Mrepresents the mass of the substance and trepresents the elapsed time in years, then which of the following systems of equations can be
used to determine how long it will be before the substances have an equal mass?
Answer:
231.59 years
Step-by-step explanation:
To model this situation we are going to use the exponential decay function:
f(t)= a (1-b)^t
where f(t) is the final amount remaining after t years of decay
a is the final amount
b is the decay rate in decimal form
t is the time in years
For Substance A:
Since we have 300 grams of the substance, a=300. To convert the decay rate to decimal form, we are going to divide the rate by 100%:
r = 0.15/100 = 0.0015. Replacing the values in our function:
f(t) = a (1-b)^t
f(t) = 300 (1-0.0015)^t
f(t) = 300 (0.9985)^t equation (1)
For Substance B:
Since we have 500 grams of the substance, a= 500. To convert the decay rate to decimal form, we are going to divide the rate by 100%:
r=0.37/100= 0.0037. Replacing the values in our function:
f(t) = a (1-b)^t
f(t)= 500 (1-0.0037)^t
f(t)=500(0.9963)^t equation (2)
Since they are trying to determine how many years it will be before the substances have an equal mass M, we can replace f(t) with M in both equations:
M=300(0.9985)^t equation (1)
M=500(0.9963)^t equation (2)
We can conclude that the system of equations that can be used to determine how long it will be before the substances have an equal mass, M, is :
{M=300(0.9985)^t
{M=500(0.9963)^t
PLEASE HELPP ME IM GONNA FAIL
Answer:
90 degrees.
Step-by-step explanation:
They right ray point is on the 90 degree number and left ray is on zero so we find the difference.
90-0=90
so it measures 90 degrees.
Answer:
<ba=180 <bc=90
Step-by-step explanation:
whats the difference between coterminal, reference, and rotational angles?
Answer:
If two angles in standard position have the same terminal side, they are called coterminal angles.
The reference angle is the acute angle (the smallest angle) formed by the terminal side of the given angle and the x-axis.
Angle of Rotation is the measurement of the amount of the angle, by which a figure is rotated counterclockwise about a fixed point, often the center of a circle. Usually clockwise rotation is called as Negative rotation
If two angles in standard position have the same terminal side, they are called coterminal angles.
What is an angle?An angle is formed when two straight lines or rays meet at a common endpoint. The common point of contact is called the vertex of an angle.
Coterminal angles are those angles that share the terminal side of an angle occupying the standard position. The standard position means that one side of the angle is fixed along the positive x-axis, and the vertex is located at the origin.
The reference angle is the acute angle (the smallest angle) formed by the terminal side of the given angle and the x-axis.
Angle of Rotation is the measurement of the amount of the angle, by which a figure is rotated counterclockwise about a fixed point, often the center of a circle. Usually clockwise rotation is called as Negative rotation.
Hence, if two angles in standard position have the same terminal side, they are called coterminal angles.
To learn more about an angle visit:
https://brainly.com/question/28451077.
#SPJ2
Susan estimated she would spend $250 on school clothes at the start of the school year. She actually ended up spending only $230. What was her percent of error in her calculations?
Answer:
8.7%
Step-by-step explanation:
the formula for % error is = [ (approx. - exact ) / exact ] x 100
so, we know the approx value was 250 while the exact one is 230
thus; [ ( 250-230 ) / 230 ] x 100
= 8.7%
Find the value of x.
(3x+20) º
12°
Answer:
x=32°
Step-by-step explanation:
2x+3x+20=180 co interior angle
5x=180-20
x=160/5=32°
Answer:
12°
Step-by-step explanation:
a straight line adds up to 180°
(3x+20)+2x=180
3x+2x+20=180
5x+20=180
5x=180-20
5x=60
5x/5=60/5
x=12
x=12°
need help ASAP, please
Answer:
1) D. 343.17
2) C but not sure
Step-by-step explanation:
1) area of triangle is 1/2* base* height= 1/2*18*24 = 216ft²
area of circle is πr²
area of semicircle is πr²/2
diameter=18
radius= 18/2=9
πr²/2 = (22/7* 9*9) / 2
=127.2 (approx)
total area = 127.2+ 216= 343.2
2) I dont know...I think C
I HATE SCHOOL ESPECIALLY MATH
Answer:
Step-by-step explanation:
Answer is in the picture. I promise its not a bad picture.
Select the equivalent expression. −4(2a−3)+5a
1. 3(a+4)
2. −3(a−4)
3. −3(a+4)
4. 3(a−4)
The diameter of a compact disc is 12 centimeters. What is the approximate circumference of the compact disc? 37.69 cm 75.39 cm 113.09 cm 452.38 cm
Answer:
37.69cm i might be wrong, u gonna have to check
Step-by-step explanation:
(1)/(8)-1(7)/(8) please help
Answer: -0.75
1/8 - 1(7)/8 = -3/4= -0.75
Answer:
[tex]\frac{1}{8} -1\frac{7}{8}[/tex]
[tex]\frac{1}{8} -\frac{15}{8}[/tex]
[tex]\frac{1-15}{8}[/tex]
[tex]-\frac{14}{8}[/tex]
[tex]-\frac{7}{4}[/tex]
[tex]-1\frac{3}{4}[/tex]
Step-by-step explanation:
the product of 2 consecutive integers is 42. find the integers
Answer:
6 & 7
Step-by-step explanation:
6 x 7 = 42
They are consecutive!
Answer:
6x7
Step-by-step explanation:
hope this helps!
Jackson bought a jar of 240 marbles. The percent bar graph shows the percentage of each color marble in the jar.
How many of the marbles are yellow?
Answer:
72 marbles are yellow
Step-by-step explanation:
Two-step equation
2x+5x=-1
What's the answer for x=
Answer:
x=-1/7
Step-by-step explanation:
Combine like terms
7x=−1
Then you divide both sides by 7 and then you get x=-1/7 (fraction)
Hope it helps :)
a jug holds 2 cups of liquid. a recipe for fruit punch is 1/2 cups of orange juice. 1/4 cup of raspberry juice, 3/8 cups of grapefruit juice, and 5/8 cups of lemonade. the the jug big enough for the punch? explain
Show all of your work. Simplify the expression: - 3a + 7 + 5a
Answer:
2a + 7
Step-by-step explanation:
-3a + 7 +5a
subtract the negative 3 from the 5
2a + 7
Answer: it would be 2a+7
Step-by-step explanation: Hope this help :D
Help please, what's the interquartile range?
Subtract the following polynomials in this equation
Plzzzzzz heeelllpp. 20 pointsss
Answer:
Hello.
The answer to this question is
− √ 2 − √ 3 /2
And in Decimal Form: − 0.25881904
Step-by-step explanation:
Give brainliest :)
Hope with a question
Answer:
(3,7)
Step-by-step explanation:
find the unit price to the nearest tenth of one cent. 12-ounce can of cola for 60 cents
Answer:
1 ounce is 0.05
Step-by-step explanation:
4(x+2)=4x+8 need help
Answer:
True
Step-by-step explanation:
Any value of x makes the equation true
All Real numbers
(-∞)(∞)
Question 2 (1 point)
A bag holds 6 tiles: 2 lettered and 4 numbered. Without looking,
you choose a tile. What is the probability of drawing a number?
278÷3 in one decimal place
Answer:
92.6! Hope this helps.
Step-by-step explanation:
-lei
Bacteria are the most common example of exponential growth. Select a number between 2 and 10 to represent the hourly growth rate of a certain bacteria. For example, selecting the number 8 would mean that the amount of bacteria will be 8 times greater after every hour.
a. Suppose you start with one single bacterium. Make a table of values showing the number of bacteria that will be present after each hour for the first six hours using the hourly growth rate that you selected. Then determine how many bacteria will be present once 24 hours have passed.
b. Explain why this table represents exponential growth.
c. Using this example, explain why any nonzero number raised to a power of zero is equal to one.
d. Write a rule for this table.
e. Suppose you started with 100 bacteria, but they still grew by the same growth factor. How would your rule change? Explain your answer.
Answer:
bh
Step-by-step explanation:
Answer:
Answers are below
Step-by-step explanation:
Hour 0 1 bacterium
Hour 1 3 bacterium
Hour 2 9 bacterium
Hour 3 27 bacterium
Hour 4 81 bacterium
Hour 5 243 bacterium
Hour 6 729 bacterium
After 24 hours, the number of the bacterium will reach 282,429,536,481.
B) This table represents exponential growth because of the number of bacterium always being multiplied by 3.
C) The reason that any number to the zero power is one is that any number to the zero power is just the product of no numbers at all, which is the multiplicative identity, 1.
D) Y = 1 + 3 to the power of x
E) The rule would change by having all of the numbers multiplied by 100 since there is 100 bacterium at Hour 0.
A computer randomly selects a number from the given set. {1.2 5 10 25 30 36} What is the probability that an even number is selected? Enter your answer as a fraction, in simplest form, in the box. Pleven) =
Answer:
4/7 (I may be wrong)
Step-by-step explanation:
There are 7 numbers, of which 4 are even. This could be %100 wrong/right.
Can you guys help me answer question 1 and 2
hi, find the real zeros. if there are none, just say none.
Answer:
None
Step-by-step explanation:
Answer:
none
Step-by-step explanation:
cause there isnt any zero
25 points. Need help
Answer:
BD = 21 units
Step-by-step explanation:
By applying mean ratio theorem in the given triangle ABC,
[tex]\frac{AD}{BD}=\frac{BD}{CD}[/tex]
AD × CD = BD²
21 × 21 = BD²
BD² = (21)²
BD = 21
Therefore, measure of segment BD is 21 units.
Can one of you guys help me
Tell me the definitions of the following vocabulary words:
quadrilateral:
parallelogram
trapeze:
rectangle:
diamond:
square: PLS HELP ME
Answer:
quadrilateral: a four-sided shape or figure and has four striaght sides
parallelogram: four-sided plane with oppisite paraell sides
trapezoid: a quadrilateral with one pair of parell sides
rectangle: a figure with both four stright and four right angles. It is also quadrilateral, paraellagram,
diamond: a quadrilateral that has four sides of the same lenght and is also a parallelogram .
square: a quadrilateral with four equal sides. It is a rectangle and parallagram.
Hope that helped you! :)
Step-by-step explanation: