Answers
Y=-20/133x - 10/19
Related Questions
If 150 grams of a radioactive isotope are present at 2:00 PM and 10 grams remain at 6:00 PM (the same day), what is the half-life of the isotope? Round to two decimal places.
Answers
Initial amount, [tex]A_o=150\ g[/tex] .
Final amount, [tex]A =10\ g[/tex] .
Time taken, t = 6:00 - 2:00 = 4 hour.
We know,
[tex]A=A_o(\dfrac{1}{2})^{\dfrac{t}{h}}\\\\10 = 150 \times \dfrac{1}{2}^{\dfrac{4}{h}}\\\\2^{\dfrac{4}{h}}=15\\\\\dfrac{4}{h}= log_215\\\\h = \dfrac{4}{log_215}\\\\h = 1.024 \ hours[/tex]
Therefore, the half-life of the isotope is 1.024 hours.
Hence, this is the required solution.
what is the inverse of this statement "if a parallelogram has a right angle, then the parallelogram is a rectangle"?
Answers
Answer:
no a parallelogram doesn't have all equal sides but a square does
Step-by-step explanation:
Earth is approximately 1.5x10^8 km from the sun. how many minutes does it take to travel from the sun to the earth? the speed of light is 3x10^8 m/sec
Answers
Need help ASAP!!!
Solve: 2n + 3n - 6 = -21
What does n equal?
- n=5
- n=3
- n= -5
- n= -3
Answers
Answer:
n=-3
Step-by-step explanation:
add the like values and add the 6 to the -12 and decide the totals to get -3
Answer:
n=3
Step-by-step explanation:
2n+3n-6=-21
Add 6 on both sides of the equal sign: -6+6=-21+6
2n+3n=15
Combine like terms: 2n+3n
5n=15
Divide by 5 on both sides of the equal sign: 5n/5=15/5
n=3
Emma jogs 2 miles along the beach in
1
3
of an hour. If she travels at a constant rate, how far will she jog in an hour?
Answers
Answer: 6 miles
Step-by-step explanation: 1/3 hour = 2
1 hour = 6 (2x3=6)
Answer:
6 miles
Step-by-step explanation:
In 1992, there were 41 comma 984 shopping centers in a certain country. In 2002, there were 48 comma 225. (a) Write an equation expressing the number y of shopping centers in terms of the number x of years after 1992. (b) When will the number of shopping centers reach 80 comma 000?
Answers
Answer:
Step-by-step explanation:
The equation expressing the number y of shopping centers in terms of the number x of years after 1992 will be LINEAR in nature
The standard equation is expressed as;
y = mx+c
m is the slope
c is the intercept
If in 1992, there were 41,984 shopping centers in a certain country and in 2002, there were 48,225 we can express this as coordinate points
(0, 41984) and (10, 48,225)
Get the slope
m = 48,225-41,984/10-0
m = 6241/10
m = 624.1
Get the intercept, substitute m = 624.1 and the point (0,48225) into the formula y = mx+c
48225 = 624.1(0)+c
48225 = 0+c
c = 48225
Get the required equation
y = 624.1x+48225
Which of the following proves the triangles are congruent?
A. SSS
B. SAS
A
CASA
D. Not Congruent
Answers
Answer:
SSS
Step-by-step explanation:
Because 3 sides are identical, its the side-side-side theorem or SSS
Answer:
.
Step-by-step explanation:
in the image below lines m and n are parallel. what is the value of x?
Answers
x=26+16
x=42
4x-26=3x+16
Just solve from there
The information is in the picture PLEASE HELP ME
Answers
Answer:
The answer is B.
Step-by-step explanation:
x^2-5x = x + 5
(x^2-5x)( x + 5)
x^3 - 25x^2+25x^2-25x
x^3 - 25x
How can you tell when your graph has a constant rate relationship?
Would the slope be the same or different?
Answers
HELP WILL GIVE BRAINLIEST
Answers
Answer:
215 cube inches.
Step-by-step explanation:
Answer:
215
Step-by-step explanation:
y=-x-2
PLLLLZZZ ANSWER ASAPP
Answers
slope = -1 y intercept =-2
if you help me I'll mark you the brainest
Here are two Desmos Click Bots™ along with some data from their practice rounds.
Which bot will click more times in 10 seconds?
Answers
Answer:
umm.. I think its bot#7 the pink one?
HELP GEO QUESTION THX... GIVE ME EXPLANATION PLZZZZZ THXXXXX SOO MUCCHHHH
Answers
E is the midpoint of DA, and F is the midpoint of DB. This means EF is a midsegment of the triangle. It is half as long as AB, and EF is also parallel to AB.
When we extend EF to form segment EC, it is now twice as long compared to EF. So that shows EC is the same length as AB, in other words, EC = AB. Also, EC is parallel to AB. This works due to points E, F, and C being on the same line.
Since EC || AB, we know that angle EBA = angle BEC. These are alternate interior angles.
From the reflective property, we can say EB = EB
---------------
Using these three facts
EC = ABangle EBA = angle BECEB = EBto prove that triangle EBA is congruent to triangle BEC. The next step is to use CPCTC (corresponding parts of congruent triangles are congruent) to lead to
angle BEA = angle EBC
we can use the alternate interior angle theorem converse to conclude that EA is parallel to BC.
-----------------
In summary, we have proven:
EC is parallel to ABEA is parallel to BCBy the definition of what it means to be a parallelogram, we have proven quadrilateral EABC is a parallelogram. In short, we've shown that the opposite sides are parallel.
Which of the following equations uses the inverse property of logarithms correctly? A) log2(2^4)=4. B) 2^log2(4)=4. C) 2^log4(2)=4. D) log2(4^2)=2 E) 2^log4(4)=4. F) 4^log2(4)=4
Answers
Answer:
(A) and (B)
Step-by-step explanation:
The inverse property of Logarithms is
㏒a[tex](a^x)[/tex] = x or a^loga(x) = x
Using this property we check each option
(A) Log2(2^4) = 4 correct
(B) 2^log2(4) = 4 correct
(C) 2^log 4(2)[tex]\neq[/tex] 4 incorrect ( it equal to [tex]\sqrt{2}[/tex])
(D) log2(4^2) [tex]\neq[/tex] 2 incorrect ( it is equal to 4)
(E) 2^log4(4) [tex]\neq[/tex] 4 incorrect ( it is equal to 2)
F) 4^log2(4)[tex]\neq[/tex]4 incorrect ( it is equal to 16)
These two triangles are similar what is the measure of angle M?
Answers
Answer:
30
Step-by-step explanation:
We can ignore the fact they are similar altogether. It's known that all 3 angles of a triangle add up to 180, so:
180=102+48+m
180=150+m
30=m
Answer:
A. 30 degrees
Step-by-step explanation:
They are similar aka the same or congruent and since you know all three angles you just match them up.
Identify the ordered pairs that has the same slope as the equation y = 5x.
a. (1, 2) and (2, 1)
b. (2, 1) and (0, 5)
c. (5, 0) and (5, 1)
d. (0, 0) and (1, 5)
Answers
the formula to find the slope of two ordered pairs is
y1-y2/x1-x2
The ordered pair (0, 0) and (1, 5) has slope 5 as the equation y = 5x thus option (d) is correct.
What is the slope?A slope is a tangent or angle at a point and a slope is the intensity of inclination of any geometrical lines.
Slope = Tanx where x will be the angle from the positive x-axis at that point.
The linear equation is given as, y = mx + c here m is the slope.
By comparing y = 5x. slope m = 5.
The slope associated with two points (x₁, y₁) and (x₂, y₂) is given by
Slope = (y₂ - y₁)/(x₂ - x₁)
The slope of (0, 0) and (1, 5) = (5 - 0)/(1 - 0) = 5
So they have the same slope.
Hence "The slope of the pair (0, 0) and (1, 5) is 5 since y = 5x".
To learn more about slopes,
https://brainly.com/question/3605446
#SPJ2
solve the equation
15x-45=3x
Answers
Answer:
x=3.75
Step-by-step explanation:
15x - 45= 3x
Subtract 15x from both sides:
-45 = -12x
Divide both sides by -12, the -12's cancel and you get:
-45/-12 = 3.75
x= 3.75
I hope this helps!! blessings, xx,nm! :)
[tex]15x-45=3x[/tex]
Answer :-[tex]15x-3x =45[/tex]
[tex]12x=45[/tex]
[tex]x = \frac{15}{4} [/tex]
or
[tex]x = 3.75[/tex]
Extra Information :-Sign change is mandatory if we change the place ,Example - if it was (+) if we change the place it will become (-) and if it was (-) and we change the place then it will become (+) ,but if we don't change the place then we don't need to change the sign ( +,-) .Please help 60 points
Malcolm and Nick opened savings accounts with different beginning deposits. Each week, they both deposit the same amount into their accounts. This graph shows the amount of money in Malcolm’s account.
If, on the fifth week, Nick has $120 in his savings account, which equation shows the amount of money in Nick’s account?
A. y = 10x + 40
B. y = 10x +70
C. y = 20x + 40
D. y = 20x + 70
Answers
Answer:
B
Step-by-step explanation:
To solve this equation you use the y=mx+b format
Considering that the graph starts at 40 (b) and increase 10 every time that means that the m is 10
Sorry that probably made no sense
Which of the following is the constant of proportionality written as a unit rate
Answers
Answer: 12 wins per loss- C
Step-by-step explanation:
Got it on edge 2021
Jake ate 4½ pounds of candy during the week after Halloween. How much candy did he eat per day on average.
Answers
Answer: 9/14 of a pound each day.
Step-by-step explanation:
We can convert the mixed fraction into an improper fraction:
4 1/2 → 9/2
Now we divide by 7, since there are 7 days in a week:
9/2 ÷ 7
When we divide, by a number, it can be placed in the denominator:
9/2*7 = 9/14
There's no other way to simplify it, so that's our final answer.
Answer:
0.64285714
Step-by-step explanation:
Divide 4.5 by 7
PLEASE HELPP....Write an equation of a line that goes through the given point (7, 1) and has a slope of 8. (Remember: it should be in the form of y = mx + b)
Answers
Answer:
y = 8x - 55
Step-by-step explanation:
Given
Point (x1,y1) = (7,1)
Slope, m = 8
Required
Determine the equation of the line
The question asks that the equation to be in form: y = mx + b
This above form is a representation of point-slope and is calculated using the following formula:
y - y1 = m(x - x1)
Substitute values for y1, x1 and m
y - 1 = 8(x - 7)
Open bracket
y - 1 = 8x - 56
Collect Like Terms
y = 8x - 56 + 1
y = 8x - 55
Hence, the calculated line equation in form of y = mx + b is y = 8x - 55
At Lexington Cafe, 20 out of 49 customers left a large tip. In contrast, 37% of customers at Cedarburg Bistro left a large tip. Which restaurant had a greater percentage of customers who left a large tip?
Answers
Answer:
Lexington Cafe
Step-by-step explanation:
Lexington Cafe left a 40% tip which is 3% more than Cedarburg Bistro.
A negative multiplied/divided by a negative (same signs) equals a _
positive
negative
Answers
Answer:
When you multiply two negative numbers or two positive numbers then the product is always positive. 3 times 4 equals 12. Since there is one positive and one negative number, the product is negative 12.
Step-by-step explanation:
Define and give examples of y-intercept
Answers
Answer:
where a line crosses the y-axis.
(0,18) and/or (0, 54)
Step-by-step explanation:
A set of pens sells for $6.25 and costs $3.50 to make. Forty-two percent of the profit (the difference between the purchase price and the amount it costs to make) from each set of pencils goes to a school. If 520 sets are sold, what is the amount of money that will go to the school?
Answers
Answer:
$1430
Step-by-step explanation:
Which ordered pair represents a reflection of the point (-3, 5) across the y-axis?
(-3,5)
(-3, -5)
(3,-5)
(3,5)
Answers
When you reflect across the y-axis, the Y coordinate stays the same, but you multiply the x coordinate by -1
Enter an equation in standard form to model the linear situation. A bathtub that holds 42 gallons of water contains 12 gallons of water. You begin filling it, and after 5 minutes, the tub is full.
Answers
Answer:
5x+12y= 42
Step-by-step explanation:
PLEASE HELP ASAP I WILL GIVE BRAINLIEST!! (Algebra)
Which input value produces the same output value for the two functions on the graph? f(x)=-2/3x+1
g(x)=1/3x-2
A) x= -3
B) x= -1
C) x= 1
D) x= 3
Answers
Answer:
b
Step-by-step explanation:
Raul opened a savings account with $2900. Each week, d, Raul pays the dog sitter $20 from his savings account. Write a function, f (d) , that is equal to the amount if money in the account after raul pays the dog sitter each week.
Answers
Answer:
f(d) = 2900 - 20d
Step-by-step explanation:
We start with 2,900 and each week 20 is deducted from the account.
f(d) = 2900 - 20d