After 1 hour, 360 g decays to 180 g.
After another hour (total 2 hours), 180 g decays to 90 g.
After another hour (total 3), 90 g decays to 45 g.
After one more (total 4), 45 g decays to 22.5 g.
More quickly, with a half-life of 1 hour, the 360 g of starting material decays to
(360 g) / 2⁴ = 22.5 g
In general, if the half-life is 1 hour, then after n hours, an initial amount A of this substance decays according to
A / 2ⁿ
Simplify 3/5+(-1/4) 7/10
Answer:
17/40
Step-by-step explanation:
Answer:
17/40 or .425
Step-by-step explanation:
Triangle ABC is translated by the rule (x + 1, y + 1) and then dilated by a scale factor of 2 centered at the origin. Which statement describes the properties of triangles ABC and A''B''C'' after the transformations?
A:∠C and ∠C'' are congruent after both the translation and the dilation.
B:∠C and ∠C'' are congruent after the dilation, but not after the translation. C:segment AC and segment A double prime C double prime are congruent after both the translation and the dilation.
D:segment AC and segment A double prime C double prime are congruent after the dilation, but not after the translation.
Answer:
A
Step-by-step explanation:
A. angle measure is preserved after translation and dilation
Bob puts a glass of water in the freezer and records the temperature every 15 minutes. The results are displayed in the table below. If this pattern continues, what will be the temperature at 2:15 PM? Explain your answer.
1:00 PM 92 Degrees
1:15 PM 60 Degrees
1:30 PM 44 Degrees
1:45 PM 36 Degrees
Answer:
30 DegreesStep-by-step explanation:
As per table we see the difference and pattern of decrease 1/2 times every 15 minutes:
1:00 PM 92 Degrees 1:15 PM 60 Degrees = -32 Degrees 1:30 PM 44 Degrees = -16 Degrees 1:45 PM 36 Degrees = -8 DegreesExpected
2:00 PM 32 Degrees = -4 Degrees 2:15 PM 30 Degrees = -2 DegreesI need help with 5 other ones I’ll give brainlest if you help me
Answer:
-1/3
Step-by-step explanation:
slope =rise /run = -1/3
from left to right your line goes down so the slope is negative
Answer:
[tex]-\frac{1}{3}[/tex]
Step-by-step explanation:
To find the slope, you need to find the rise (y-direction) over the run (x-direction). The rise is 1, and the run -3. Put them in a fraction to get [tex]-\frac{1}{3}[/tex].
Hope this helps! :)
t to the second power - 12w ÷ x
t=8
w=1/2
x=3
Answer:
62
Step-by-step explanation:
Since we know what each value of the three variables are, you can substitute each variable in the expression to get:
[tex]8^{2} -12(\frac{1}{2})[/tex] ÷ 3
Simplify to get:
64 - 6 ÷ 3
Solve the rest:
64 - 2 → 62
Answer: 62
Hope this helps! :)
How much would a 15% tip be on a bill that cost $85?
Answer:
12.75
Step-by-step explanation:
about 12.75$
Happy Holidays
Buying cheese for your pizza.
Store 1: $5.00 for 2 pounds of cheese
Store 2: $8.00 for 4 pounds of cheese
Find the unit price of cheese (price for one pound) at Store 1 by completing the chart below.
Label the missing numbers for pounds of cheese and cost.
Answer:
$21.00 and the pound is 6
Step-by-step explanation:
please help i’ll give brainliest
Answer: it's a (1,2)
Step-by-step explanation:
Plsss help I’ll give u brainlest and 10 points
Answer:
A
Step-by-step explanation:
Describe and correct the error below.
-2.2 * 3.7= 8.14
PLS ANSWER THIS I NEED YOUR HELP
AND IF YOU DO HELP I PROMISE I WILL MAKE THE YOU BRAINLIEST
Step-by-step explanation:
It is given that,
-2.2 × 3.7 = 8.14
The first number is -2.2
The second number is 3.7
We know that, (-) × (+) = - (the answer is a negative)
If we multiply -2.2 and 3.7, we will get -8.14.
But in the given case, the answer is 8.18 instead of -8.14. Hence, this is the only error.
Simplify this Expression
Answer: = 1
Step-by-step explanation:
The cost C, in dollars, to have medical records transcribed is a function of time, t in hours. A physician's group spends C(t) = 0.04t3 – 0.1t2 + 5.5t dollars to transcribe the physician's. Notes to an electronic document each month. What is the instantaneous rate of change when the transcriptionist has spent 100 hours transcribing records? A) $118.50 B)$395.50 C)$1,185.50 D)$1,195.50
Answer:
B. $39550
Step-by-step explanation:
The expression for the function is not well-formatted, find the correct format in the solution bellow
Step one:
given data
We are told that the function of the cost is
[tex]C(t) = 0.04t^3- 0.1t^2 + 5.5t[/tex]
instantaneous rate c(t) is the value obtained when we plug in 100 for t in the function above
substituting we have
[tex]C(t) = 0.04(100)^3- 0.1(100)^2 + 5.5(100)\\\\\C(t) = 0.04*1000000- 0.1*10000 + 5.5*100\\\\C(t) = 40000-1000+550\\\\C(t) = 39550[/tex]
$39550
plssss help me mathh
Answer:
C and E
Step-by-step explanation:
please please help i’ll give brainliest please tysm :))
Answer:
36 is the answer for this problem
Answer:
36
Step-by-step explanation:
it is multiplying by 6
1*6=6
6*6=36
30*6=160
Decrease 30g by 80%
Answer: 6g
Step-by-step explanation:
80% of 30 g= 80/100*30
= 8*3
=24g
(30-24g)
= 6g
Answer:
6g
Step-by-step explanation:
80% of 30 g = 80/100*30
= 8*3
= 24g
(30-24)g
= 6g
Plsss help I’ll give u brainlest and 10 points
The altitude of Object B is 27 times the altitude of Object A. The altitude of Object A is $3^3$ feet. What is the altitude of Object B? Write your answer as a power.
ft
Answer:
3^6
Step-by-step explanation:
We know that A is 3^3 and B is 27 times that.
3•3•3=27
So B is 3•3•3• of 3^3 which is 3•3•3•3•3•3
Write the answer to the exponents which will be 3^6
Dans chaque cas suivant, écris le symbole approprié ∈ ou ∉.
Answer:
Anglais s'il vous plait, je ne vous comprends pas
Step-by-step explanation:
I need help plz percent equations the question is blank% of 16 = 12
Answer:
16 x 0,75
(0,75 = 3/4) so you could take 3 x 16 = 48 and then take 48/4 and the answer should be 12 but the percent is 75%
The price of a DVD is $24.00 plus 8% sales tax. What is the sales tax on this DVD in dollars
and cents?
Record your answer and fill in the bubbles on your answer document. Be sure to use the
correct place value.
Answer:
$1.92
Step-by-step explanation:
Sales tax = 8% of 24
[tex]= \frac{8}{100}*24[/tex]
= 0.08 * 24
= $1.92
(-1,5) (2,-5) what is the slope can anyone please help
A) Find the distance of line segment PR. Round answer to the nearest tenth. B) Find the distance around the park (perimeter).
Answer:
A. [tex] PR = 80.6 yd [/tex]
B. Perimeter = 190.6 yd
Step-by-step explanation:
A. Distance between P(10, 50) and R(80, 10):
[tex] PR = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} [/tex]
[tex] PR = \sqrt{(80 - 10)^2 + (10 - 50)^2} [/tex]
[tex] PR = \sqrt{(70)^2 + (-40)^2} [/tex]
[tex] PR = \sqrt{4,900 + 1,600} [/tex]
[tex] PR = \sqrt{6,500} [/tex]
[tex] PR = 80.6 yd [/tex] (nearest tenth)
B. Distance around the park = Perimeter = PR + PQ + QR
PR = 80.6 yd
PQ = |50 - 10| = 40 yd
QR = |80 - 10| = 70 yd
Perimeter = 80.6 + 40 + 70
Perimeter = 190.6 yd
Steve purchases mushrooms at the grocery
store. Mushrooms are priced at $2.50 a
pound. Steve purchases 5 pounds of
mushrooms. When he goes to the register he
gives the cashier money and receives back
$7.50. How much money did Steve give to the
cashier?
Answer:
$20.00
Step-by-step explanation:
Multiply $2.50 by 5 to get the grand total of $12.50. Then, add the change he was given back to get the amount that was paid. 12.50 + 7.50 = $20.00
I NEED THE ANSWER I HAVE 15 MINUTES LEFT!!
On a high school varsity baseball team, 5 players are sophomores, 11 are juniors, and 13 are seniors. The team selects 4 honorary co-captains by drawing names from a hat. What's the probability that all 4 co-captains come from the same class?
Answer:
4 in 33
Step-by-step explanation:
all you do is add the amount of people and the propability number first
4 in 33
Written as a simplified polynomial in standard form, what is
the result when (2x – 5)2 is subtracted from x-10?
Answer:
[tex]\left(x-10\right)-\left(2x-5\right)^2=-4x^2+21x-35[/tex]
Step-by-step explanation:
As we have to subtract [tex]\left(2x\:-\:5\right)^2[/tex] from [tex]\left(x-10\right)[/tex]
so
[tex]\left(x-10\right)-\left(2x\:-\:5\right)^2[/tex]
solving and simplifying the polynomial in standard form
[tex]\left(x-10\right)-\left(2x-5\right)^2[/tex]
[tex]\mathrm{Remove\:parentheses}:\quad \left(a\right)=a[/tex]
[tex]=x-10-\left(2x-5\right)^2[/tex]
[tex]=x-10-\left(4x^2-20x+25\right)[/tex] ∵ [tex]\left(2x\:-\:5\right)^2=\:4x^2-20x+25[/tex]
[tex]=x-10-4x^2+20x-25[/tex]
[tex]=-4x^2+21x-35[/tex]
We know that standard form means that the terms of the expression are ordered from biggest exponent to lowest exponent.
Thus, a simplified polynomial in standard form is:
[tex]\left(x-10\right)-\left(2x-5\right)^2=-4x^2+21x-35[/tex]
please help if u dont know how to answer then please dont answer
Answer:
table is x y
1 30 that is all you need to solve the whole thing I have to go to the movies
Step-by-step explanation:
Determine the simple interest paid to the nearest cent for each loan, interest rate, and time. $2,650, 3.65%, 2 1/2 years
9514 1404 393
Answer:
$241.81
Step-by-step explanation:
The interest is given by the formula ...
I = Prt
Filling in the values and doing the arithmetic, we have ...
I = $2650×0.0365×2.5
I = $241.81
The simple interest paid is $241.81.
WILL GIVE BRAINLIST
options: given, vertical angles, corresponding angles, and transitive
Answer:
1. Given
2. Vertical angles
3. Transitive
4. Corresponding Angles
Step-by-step explanation:
1. Number one is given because it is the statement that is given
2. Number two is vertical angles because they are two opposite angles that are formed by the same lines. The statement also says they are congruent, which is true of vertical angles.
3. From the given answers 3 must be transitive because <2=<4 and <2=<6. Although alternate interior angles is also an appropriate answer.
4. Number four must be corresponding because they are on the same side of the intersection of the lines, so they are both in the top right. Also, the statement says they are congruent which is true of corresponding angles.
ten more than two times a number is fourteen more than negative four times a number. Find the number
Answer:
4/6 or as a decimal 0.666
Step-by-step explanation:
Convert to numbers and letters. 10 + 2n = -4n + 14
Move the like terms to their side: 6n = 4
Divide by 6: n = 4/6 or as a decimal 0.6666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666
if the length o a football is 100 yards and the width is 53.3 yars,what is the area
Answer:
5330 yards2
Step-by-step explanation:
Answer:
In track meets both 100 yards and 100 meters are used as distances. By how many meters is100 meters longer than 100 yards? 0.0856 m b. 0.856 m c. 1 m d. 8.56 m
Please mark brainiest :)
Answer : 4 873.752 m2