The amount of a radioactive substance remaining after t years is given by the function , where m is the initial mass and h is the half-life in years. iron has a half-life of 2.7 years. which equation gives the mass of a 200 mg iron sample remaining after t years, and approximately how many milligrams remain after 12 years? ; 2.6 mg f(t)=2.7(0.5)t; 0.0007 mg f(t)=200(0.5)t; 0.05 mg ; 9.2 mg
The equation that gives the amount of Fe that remains after 12 years is; F(t) =200(0.5)^12/2.7.
What is a radioactive substance?A radioactive substance is a substance that decays spontaneously. Recall that the half life is the time taken for half of the radioactive substance to remain.
We know that; N =No(0.5)^t/t1/2 hence, the equation that gives the amount of Fe that remains after 12 years is; F(t) =200(0.5)^12/2.7.
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Answer:
A
Step-by-step explanation:
took the test
Which of the following units could be used to measure Area? Select all that apply.
a) m2
b) in
c) cm2
d) sq. ft
e) mm
f) yd3
All the area measure units should have square above them.
For example:mm²cm²yd²in²m²km²ft²Hence, option A, C, D is correct.
Answer:
a) c) d)
Step-by-step explanation:
Length is a one-dimensional measure, therefore it is measured in single units.
⇒ m
⇒ cm
⇒ ft
The area of a shape is a two-dimensional quantity (e.g. length × width), therefore it is measured in square units.
⇒ m × m = m²
⇒ cm × cm = cm²
⇒ ft × ft = ft²
The volume of a shape is a three-dimensional quantity (e.g. length × width × height), therefore it is measured in cubic units.
⇒ m × m × m = m³
⇒ cm × cm × cm = cm³
⇒ ft × ft × ft = ft³
Therefore,
length = options b) e)area = options a) c) d)volume = option f)Need help with all 3
Answer:
48, 110,140
Step-by-step explanation:
Question 1
V= 4 * (6+6)
V=4 * 12
V= 48
Question 2
V= 11 * 10
V= 110
Question 3
V= (7 + 7) *10
V= 14 * 10
V= 140
which of the following is equivalent to 10x+15
10(x+5)
10(x+15)
5(2+3)
5(2x+3)
Answer:
The last one 5(2x + 3)
Step-by-step explanation:
5 × 2x = 10x
5 × 3 = 15
10x + 15
Anna paid € 2800 for a dress. Payment was made after the price of the dress was reduced by 30%. What was the starting price?
Answer:
$4000
Step-by-step explanation:
so $2800 was the starting price
100%-30%=70%
So 2800=70%
2800/7=400
400=10%
400*10=$4000
Select the correct answer from each drop-down menu. use . a boy weighing kilograms is riding a skateboard. he’s moving at 2 meters/second and has 40 joules of kinetic energy. he doubles his speed when he sees his friends ahead of him. his kinetic energy at the faster speed is joules.
If he doubles his speed when he sees his friends ahead of him. his kinetic energy at the faster speed is joules is 160Joules
Kinetic energy of an object.The formula for calculating the kinetic energy of an object is expressed as:
KE = 1/2mv²
where:
m is the mass of an object
v is the velocity
If he’s moving at 2 meters/second and has 40 joules of kinetic energy, the mass is calculated as:
40 = 0.5(2)²m
40 = 2m
m = 20 kg
If he doubles his speed when he sees his friends ahead of him, his kinetic energy will be:
KE = 0.5(20)(4)²
KE = 10*16
KE = 160joules
Hence if he doubles his speed when he sees his friends ahead of him. his kinetic energy at the faster speed is joules is 160Joules
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Solve for the volume of the Sphere. ROUND TO THE NEAREST TENTH. 15 is the
radius.
Answer:
[tex]14137.8[/tex] to the nearest tenth
Step-by-step explanation:
write the equation of sphere volume:
[tex]\frac{4}{3} \pi r^{3}[/tex]
substitute the radius to the equation :
[tex]\frac{4}{3} \pi* 15^{3}[/tex]
solve by calculator:
[tex]\frac{4}{3} \pi* 15^{3}=14137.17\\[/tex]
≈[tex]14137.8[/tex] to the nearest tenth
please help best answer will be brainliest
Answer:
A
Step-by-step explanation:
A fireball
What is the measure of angle D?
Enter your answer as a decimal in the box. Round only your final answer to the nearest hundredth.
Answer:
29.05°
Step-by-step explanation:
The mnemonic SOH CAH TOA is intended to remind you of the relationship between trig functions and side lengths in a right triangle. In your triangle, the sides adjacent and opposite angle D are given. The relevant relation is ...
Tan = Opposite/Adjacent
__
Using the given values, we have ...
tan(D) = (25 ft)/(45 ft) = 5/9
The value of the angle is found using the inverse tangent function.
D = arctan(5/9) ≈ 29.05°
The measure of angle D is about 29.05°.
man im confused.... could someone help me out please?
Answer:
C) (-2,-16)
Step-by-step explanation:
It is the only point that does not fall on the slope 6x - 5, due to the nearest exact coordinate the line passes through is (-2,-17).
25 points for just a simple question look at image below.
Answer:
Corresponding angles are always congruent
11y6x+y=4x+11y6 what does y=
Answer:
[tex]y=\frac{x}{5}[/tex]
Step-by-step explanation:
hope this helps
If a = 6 and b = 5, what is the value of the following expression?
4a + b
A.
9
B.
24
C.
19
D.
29
Answer:
D. 29
Step-by-step explanation:
If a = 6 and b = 5, fill in the numbers in place of the variables (letters) in 4a + b
= 4•6 + 5
= 24 + 5
= 29
4a means 4 times a. Multiply first, and then add.
PLEASE HELPP
Identify the growth factor for the following exponential function: y= 2.3(1.32)*
A. 2.3
B. 1.32
C. X
D. 32%
Answer:
D. 32%
Step-by-step explanation:
In an exponential function, exponential growth is modeled by f(x) = a(1 + [rate])ˣ. In this function, the initial value a, which is 2.3, is multiplied by 1.32 x times, so 1.32 represents the actual growth happening.
This means that to find the actual rate of exponential growth, you’d have to set 1.32 equal to (1 + [rate]). If (1 + [rate]) = 1.32, then the rate = .32, and because rates are written as percentages, we change .32 to 32%.
help pls pls my math needs to be good grade pls pls no summer school pls pls
Which inequalities are true when x equals -8 ?
Answer:
I think it's just water bro
Answer:
B & C
Step-by-step explanation:
Jacob earned a gross pay for the week of $592. If 16% was withheld for deductions, what was his net pay?
Answer:
$497.28
Step-by-step explanation:
First, you need to find 16% of 592. To do this, turn 16% into a decimal by dividing by 100:
16/100 = 0.16
Then, multiply 0.16 by 592, to get 94.72.
Then, subtract this number from 592:
592 - 94.72 = 497.28
Peter was thinking of a number. peter adds 6 to it, then doubles it and gets an answer of 48.5. what was the original numbe
Answer: The original number was 18.25 or 18 1/4
18.25 plus 6 is 24.25
24.25 times 2 is 48.5
Step-by-step explanation:
mark as brilliant answer
Answer:
18.25
Step-by-step explanation:
x = number
add 6: (x+6)
double it : 2(x+6)
result = 48.5
2 (x+6) = 48.5
x+6 = 24.25
x = 18.25
what is the probability of rolling a 1 and then rolling an even number with one 6 sided die
Answer:
5/6(83.33%) I think this should be the probability of it.
Solve equation 2x+7=17
Answer: x =5
Step-by-step explanation:
subtract 7 on both sides than divide by 2
Answer:
x = 5
Step-by-step explanation:
Given: 2x + 7 = 17
1. Subtract 7 from both sides
2x + 7 - 7 = 17 - 7
2x = 10
2. Divide both sides by 2
2x ÷ 2 = 10 ÷ 2
x = 5
Final answer: x = 5
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At the circus, an acrobat is standing on a platform that is 27 feet from the ground when he sees a peanut on the ground below. How far is the peanut away from the base of the platform if the angle of elevation from the peanut to top of the acrobat's platform is 25°?
Answer:
The peanut is 12.59 feet away from the base of the platform.
Step-by-step explanation:
When solving these equations, we can first start out by noticing that this requires a trigonometry function.
There are three types : cos, sin, and tan. (cosine, sin, and tangent)
Cos is for finding and dealing with the adjacent and the hypotenuse.
Sin is for finding and dealing with the opposite and the hypotenuse.
Tan is for finding and dealing with the opposite and the adjacent.
The opposite is the bottom base, to the peanut.
The adjacent is the height from the bottom base, to the top.
The hypotenuse is the top, to the peanut.
27 feet would be the adjacent.
Since we don't know bottom base to the peanut, we would call this x. (opposite)
*Side note* : The degrees is always in between the adjacent and hypotenuse.
For this, we need the length between the peanut and the bottom base. This would be the adjacent and the opposite. Meaning we're using tangent. The equation for tangent is :
tan (degrees) = opposite/adjacent
So, now we simply put in the data.
tan 25 = x/27
We can now, first get x alone by multipling both sides by 27.
27 * tan 25 = x
Plug this into a scientific calculator :
27 * tan 25
We the answer to be 12.59
The peanut is 12.59 feet away from the base of the platform
Use an equation to write 2 x (2/3) as a multiple of a unit fraction.
The volume of this cylinder is 944.11008 cubic centimeters. What is the height?
Answer:
h = 5.80
[tex]V = \pi r^2h[/tex]
[tex]h = \frac{V}{\pi r^2} = \frac{944.11}{\pi \cdot 7.2^2} = 5.79[/tex] ≈ 5.80
6. The ages of some children from a church were recorded. How many children were there in total?
Answer:
15
Step-by-step explanation:
Just add the number of kids disregarding their age
Answer:
The correct answer is 15.
Step-by-step explanation:
To get this answer, all we have to do is add up the data from the graph.
3 + 4 + 2 + 5 + 1 = 15
Hope this helps:) Goodluck!
Evaluate the following expression with x=-6, -3(x-4)+x+1
Step-by-step explanation:
−3(x−4)+x+1
Evaluate this with x=−6
−3(−6−4)+−6+1
=25
Hey there!
Answer :[tex] \displaystyle \red{ \boxed{ \green{25}}}[/tex]
Explanation:-3(x - 4) + x + 1
>> Substitute -6 for x :
⇒ -3(-6 - 4) + (-6) + 1
⇒ -3(-10) - 6 + 1
⇒ 30 - 6 + 1
⇒ 24 + 1
⇒ 25
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In a survey of adults, 18% lift weights regularly, 32% run regularly, and 7% lift weights and run regularly. What is the conditional probability that an adult who lifts weights regularly, also runs regularly?
The conditional probability that an adult who lifts weights regularly, also runs regularly is 0.219 or 21.9% if the 18% lift weights regularly, 32% run regularly, and 7% lift weights and run regularly.
What is probability?It is defined as the ratio of the number of favorable outcomes to the total number of outcomes, in other words the probability is the number that shows the happening of the event.
Let's suppose P(A) is the probability of adults who lift weights regularly.
P(A) = 18% = 0.18
Similarly,
P(B) = 32% = 0.32
P(A∩B) = 0.07
We know:
[tex]\rm P(A|B) = \dfrac{P(A\cap B)}{P(B)}[/tex]
[tex]\rm P(A|B) = \dfrac{0.07}{0.32}[/tex]
P(A|B) = 0.219 or
P(A|B) = 21.9%
Thus, the conditional probability that an adult who lifts weights regularly, also runs regularly is 0.219 or 21.9% if the 18% lift weights regularly, 32% run regularly, and 7% lift weights and run regularly.
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which of the following is an example of exponential growth? A. y=4e^ B. y=2(0.5)^x C. y=3 (1/4) ^x D. none of these
Answer:
it's D, cause for one, on b and c, their are multiplying by fractions, their is a rule like, either divide by 2 or multiple by one half, and the first one doesn't make sense so
5. For the past 10 days, a city planner has counted the number of
northbound cars that pass through a particular intersection During
that time, 200 or more cars were counted 9 out of 10 days.
a. What is the experimental probability that there will be 200 or more
northbound cars passing through the intersection on the eleventh day?
b. What is the experimental probability that there will not be 200 or
more northbound cars passing through the intersection on the
eleventh day?
Can someone please help I’m stuck ( and please show the work) thank you.
Someone please help me!?
Answer:
rise is 11 and run is 2
Step-by-step explanation:
i believe but not fully sure
Answer:
5.5
Step-by-step explanation:
Line is passing through the points (1, 0) and (3, 11)Slope of line [tex]=\frac{11 -0}{3-1}[/tex]Slope of line [tex]=\frac{11}{2}[/tex]Slope of line [tex]=5.5[/tex]If the product of 5x+1 and 2x-3 was place in ax2+bx+c form what would the value of a+b+c equal
Answer:
Answer: 10x^2 -13x-3
Foil method
Step-by-step explanation:
I beleive its right.
The area of a rectangle is 48 cm². If its width is 6 cm, what is its length?
================================
[tex] \large \sf \underline{Question:}[/tex]
The area of a rectangle is 48 cm². If its wdth is 6 cm, what is its length================================
[tex] \large \sf \underline{Answer:}[/tex]
[tex] \qquad \qquad \qquad \huge \bold{8cm}[/tex]
To solve for the area of rectangle, you use this formula A = length × width. But we're doing it reversal, we will divide the width to the area
[tex]\large\tt{A \: = \: l \: \times \: w}[/tex][tex]\large\tt{48cm^{2} \: = \: l \: \times \: 6cm}[/tex][tex]\large\tt{48cm^{2} \: \div \: 6cm \: = \: l}[/tex][tex]\large\tt{48cm^{2} \: \div \: 6cm \: = \: \pmb{8cm}}[/tex]Therefore, The length is 8cm.
================================
Hey ! there
Answer:
Length of rectangle is 8 cm .Step-by-step explanation:
In this question we are provided with a rectangle having area 48 cm² and width 6 cm . We are asked to find the length of rectangle .
We know that ,
[tex] \qquad \qquad\underline{\boxed{\frak{Area_{(Rectangle)} = l \times w}}}[/tex]
Where ,
l refers to Lengthw refers to WidthSOLUTION : -
We are finding value of length by substituting value of width as 6 cm and area as 48 cm² in the formula . So ,
[tex] \quad\longmapsto \qquad \:48 = 6 \times l[/tex]
or ,
[tex] \quad\longmapsto \qquad \:48 = 6l[/tex]
Dividing with 6 on both sides :
[tex] \quad\longmapsto \qquad \: \cancel{\dfrac{48}{6}} = \dfrac{ \cancel{6}l}{ \cancel{6}} [/tex]
We get ,
[tex] \quad\longmapsto \qquad \: \orange{\underline{\boxed{ \frak{l = 8 \: cm}}}} \quad \bigstar[/tex]
Henceforth , Length of rectangle having area 48 cm² and width 6 cm is ❝ 8 cm ❞Verifying : -
We are verifying our answer by substituting value of length and width in formula and equating it with given area . So ,
[tex] 8 \times 6 = 48[/tex][tex]48 = 48[/tex][tex] \rm{L.H.S = R.H.S}[/tex][tex] \rm{Hence , \: Verified .}[/tex]Therefore , our answer is correct .
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