Answer:
7.2 / 2.4 = 3 half-lives
(1/2)3 = 0.125 (the amount remaining after 3 half-lives)
100.0 g x 0.125 = 12.5 g remaining
Hope this Helped! :)
factorise 15x- 10x^3
Answer:
5x (3-2x^2)
Step-by-step explanation:
so all you have to do is 15x-10x=5x right?, then all you have to do is 15/5=3. 10x/5x=2x. then subtract 1 from the exponents. then you get the answer. okay Im sure about the fist part and the divison but not the exponents, I did use a calculator to check it though.
The factorize equation is, [tex]\rm 5x (\sqrt{3} - \sqrt{2}x) (\sqrt{3}+\sqrt{2}x}) = 0[/tex].
The roots of the equation are [tex]0 , \ \dfrac{\sqrt{3}}{\sqrt{2} }, \dfrac{-\sqrt{3}}{\sqrt{2} }[/tex].
Given that,
Equation; [tex]\rm 15x - 10x^3[/tex]
We have to determine,
Factorize the equation and factor of the equation.
According to the question,
To factorize the equation and determine the factor of the equation following all the steps given below.
Equation; [tex]\rm 15x - 10x^3[/tex]
Step1; Taking the term 5x common from the equation,[tex]\rm = 15x - 10x^3 = 0 \\\\= 5x (3-2x^2) = 0[/tex]
Step2; Simplify the equation,[tex]\rm = 5x (3-2x^2) = 0\\\\ = 5x (\sqrt{3} - \sqrt{2x}) (\sqrt{3}+\sqrt{2x}) = 0[/tex]
Step3; The roots of the equation are,[tex]\rm = 5x (\sqrt{3} - \sqrt{2}x) (\sqrt{3}+\sqrt{2}x}) = 0\\\\ The \ roots \ of \ the \ equation \ are;\\\\5x = 0, \ x = \dfrac{0}{5}, \ x =0\\\\\\[/tex]
[tex]\sqrt{3} - \sqrt{2x} = 0, \sqrt{2}x = \sqrt{3}, \ x = \dfrac{\sqrt{3} }{\sqrt{2} }\\\\ \sqrt{3} +\sqrt{2x} = 0, \sqrt{2}x = -\sqrt{3}, \ x =- \dfrac{\sqrt{3} }{\sqrt{2} }[/tex]
Hence, The roots of the equation are [tex]0 , \ \dfrac{\sqrt{3}}{\sqrt{2} }, \dfrac{-\sqrt{3}}{\sqrt{2} }[/tex].
For more details refer to the link given below.
https://brainly.com/question/11540485
I Point
Which of the following shows the polynomial below written in descending order?
4x^3 + 3x^7 - 9x + x^12
The polynomial in descending order would be:
x^12 + 3x^7 + 4x^3-9x.
It all has to do with their degrees (exponents).
I don't know what the answer choices are because you didn't post them, but that is the answer.
I hope this helps.
If you take out a loan that costs $561 60 over eight years at an interest rate of 9% how much was the loan for?
Answer:
The loan was $28184.81
Step-by-step explanation:
Let the loan amount be x
Rate of interest on Loan = 9%
Time = 8 years
Amount of loan over 8 years = $56160
Formula : [tex]A=P(1+r)^t[/tex]
Where A = Amount =56160
P = Principal = x
r = rate of interest = 9% = 0.09
t = time = 8 years
Substitute the values in the formula :
So,[tex]56160=x(1+0.09)^8[/tex]
[tex]\frac{56160}{(1+0.09)^8}=x[/tex]
$28184.81=x
Hence The loan was $28184.81
Lee watches tv for 4 hours per day. During that time , the tv consumes 200 watts per hour. electricity costs (15 cents)/( 1 kilowatt-hour). How much does lee’s tv cost to operate for a month of 30 days?
Answer: $3.6
Step-by-step explanation:
Hi, to answer this question, first we have to calculate watt hours per day:
200 wph x 4 hours = 800 watt hours
Now, we have to convert the watt-hours to kilowatt hours:
800 wh /1000 =0.8 kwh
Since he watches TV 30 days per month:
0.8 kw x 30 days = 24 kwh
Finally we have to multiply that result by the price per kilowatt hour (15 cents)
24 kwh x 15 cents = 360 cents
Converting to dollars:
360/ 100 = $3.6
Lee’s TV cost 3.6 dollars to operate for a month of 30 days
How many outcomes are in the sample space of flipping a coin in spinning a spinner with sections labeled 1-4
Answer:
8 outcomes
Step-by-step explanation:
A coin has two possible outcomes: heads or tails.
The spinner has four possible outcomes: 1, 2, 3 or 4.
If we combine then, the number of outcomes will be the product of their number of outcomes:
2 * 4 = 8
So we will have a total of 8 outcomes:
heads, 1 / heads, 2 / heads, 3 / heads, 4 /
tails, 1 / tails, 2 / tails, 3 / tails, 4
what is the area of this triangle?
Answer:
I believe the answer is 24
Answer:
The area of the triangle is 24 units2
Step-by-step explanation:
To find an area of a triangle you simply have to multiply a and b which are the legs of a triangle, in this case it would be 6 and 8, after doing that you divide the result by 2. So A= 6x8/2 ---> A=48/2 -----> A=24
The volume of the shipping box needs to be 1,144 cubic inches. The equation that models the volume of the shipping box is 8(n + 2)(n + 4) = 1,144.
Answer the following questions about the equation modeling the volume of the shipping box.
Question 1
Solve the equation that models the volume of the shipping box, 8(n + 2)(n + 4) = 1,144. If you get two solutions, are they both reasonable?
Answer:
see below
Step-by-step explanation:
8(n + 2)(n + 4) = 1,144
FOIL
8(n^2 +2n+4n+8) = 1144
Divide each side by 8
8/8(n^2 +2n+4n+8) = 1144/8
(n^2 +2n+4n+8) = 143
Combine like terms
n^2 +6n+8 = 143
Subtract 143 from each side
n^2 +6n+8 -143= 0
Combine like terms
n^2 +6n -135 =0
Factor
What two terms multiply to -135 and add to 6
-9*15 =-135
-9+15 = 6
(n-9) (n+15) =0
Using the zero product property
n-9 =0 n+15=0
n = 9 n=-15
The length cannot be negative so n = -15 cannot be a solution
n =9
Answer:
n = 9
Step-by-step explanation:
8(n + 2)(n + 4) = 1,144
(n + 2)(n + 4) = 143
n² + 2n + 4n + 8 = 143
n² + 6n - 135 = 0
n² + 15n - 9n - 135 = 0
n(n + 15) - 9(n + 15) = 0
(n - 9)(n + 15) = 0
n = 9, -15
since n is a length, it can not be negative
Therefore the only solution is n = 9
Solve the inequality for X.
-3x - 3 <-63
es
A)
x > 20
B)
x > 22
9.
x < 20
D)
x < 22
------------------------------------------------
-3x - 3 <-63
Add 3 to both sides:
-3x-3+3 < -63+ 3
Simplify:
-3x < -60
Multiply both sides by -1:
(reverse the inequality)
(-3x)(-1) > (-60)(-1)
Simplify:
3x > 60
Divide both sides by 3:
3x/3 > 60/3
Simplify:'
x > 20
Your Answer Is x > 20
plz mark me as brainliest if this helped :)
Given: PK and PE tangents
m∠KPE = 60°,
2KP = PE + 1
Find: EK
Answer:
EK = 1.
Step-by-step explanation:
Here we have KP = PE (tangents from outside the circle)
Therefore, 2KP = PE + 1 = KP + 1
Hence, 2KP - KP = 1 or KP = 1 = PE
Since KE is the base of triangle KPE, where ∡ KPE = 60, and KP = PE, we have an isosceles triangle such that ∡PKE = ∡PEK
Hence, in ΔKPE, ∡KPE + ∡PKE + ∡PEK = 180
Therefore, 60° + ∡PKE + ∡PEK = 180
Hence, ∡PKE + ∡PEK = 180° - 60° = 120°
Because ∡PKE = ∡PEK, (base angles of isosceles triangle), we have;
∡PKE + ∡PEK = 2·∡PEK = 120° which gives
∡PEK = 60° = ∡PKE
Therefore, ∡KPE = ∡PEK = ∡PKE = 60°
Hence, ΔKPE is an equilateral triangle and KP = PE = EK = 1
EK = 1.
Order the steps to solve the equation
log(x2 - 15) = log(2x) form 1 to 5.
x² - 2x - 15=0
Potential solutions are -3 and 5
IIIII
x² - 15 = 2x
x - 5 = 0 or x + 3 = 0
(x - 5)(x + 3) = 0
Answer:
Attention for the conditions:
[tex]x^{2} -15>0\\2x>0\\so\\x>0[/tex]
Step-by-step explanation:
we have
[tex]log(x^{2}-15)= log(2x)\\\\x^{2} -15 = 2x\\\\x^{2} -5x+ 3x-15=0\\ (x^{2}-5x)+(3x-15)=0\\ x(x-5)+3(x-5)=0\\(x-5)(x+3)=0\\x-5=0, x=5 \\\\x+3=0, x= -3[/tex]
So the solutions are 5 because x>0
At the candy store the sell a 3 -pack of large chocolate bars for $6.45 and a 4 -pack of large chocolate bars for $8.20. Use Unit Rate to find out which pack is a single bar the cheapest.
Answer:
the cheapest is 8.20/4 bars
Step-by-step explanation:
we have to compare the price of one bar in both situations
1 bar= 6.45/3 compare with 1 bar=8.20/4
2.15 >2.05
the cheapest is 8.20/4 bars
SOMEONE, PLEASE HELP FAST!!! FOR BRAINLIEST!!!!
Answer:
Volume of rectangular prism:
V1 = base x height = 4 x 6 x 12 = 288 ft3
Volume of triangular prism:
V2 = base x height = 4 x (6/2) x 6 = 72 ft3
Volume of composite prism:
V= V1 + V2 = 288 + 72 = 360 ft3
Hope this helps!
:)
How many pops of kernel come in a bag of popcorn?
Please choose one of the following answers below
70
120
200
100,000
Answer:
100,000
Step-by-step explanation:
I don't think they're give you 70 or 100,000 kernels so either 120 or 200. But if I had to choose one, it'd be 120 kernels.
Choose the function whose graph is given below.
Y = csc x
Y= tan x
Y= sec x
Y = cot x
The given graph shown in the image is of function y = cotx. Option D is correct.
Given that,
To determine the function whose curve is plotted in the graph.
The graph is a demonstration of curves that gives the relationship between the x and y-axis.
What are trigonometric equations?These are the equation that contains trigonometric operators such as sin, cos.. etc.. In algebraic operation.
Here,
Since the given graph is of cots because only cotx tends to infinity whenever x tends nπ where n is an integer on the number line.
Thus, the given graph shown in the image is y = cotx. Option D is correct.
Learn more about graphs here:
brainly.com/question/16608196
#SPJ2
Jack ran 13.5 miles in 1.5 hours. What was his speed in miles per minute?
Answer:
9
Step-by-step explanation:
13.5 / 1.5 = 9
Answer:
[tex] \boxed{Speed = 0.15 \: miles \: per \: minute} [/tex]
Given:
Distance travelled = 13.5 miles
Time taken = 1.5 hours = 1.5 × 60 = 90 minutes
Step-by-step explanation:
[tex]Speed = \frac{Distance \: travelled}{Time \: taken} \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = \frac{13.5}{90} \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 0.15 \: miles \: per \: minute[/tex]
Find m∠ABD and m∠CBD given m∠ABC = 111∘
The Equations are (-10x+58)∘ and (6x+41∘)
Write and Solve an equation
Answer:
x=-3
<ABD=88
<CBD=23
Step-by-step explanation:
We know that <ABC is made up of 2 angles: <ABD and <CBD.
We also know that the m<ABC is 111.
Therefore, <ABD and <CBD added together must equal 111.
<ABD+ <CBD =111
We know that <ABD is -10x+58 and <CBD is 6x+41, so we can substitute these in.
-10x+58+6x+41=111
Combine like terms
(-10x+6x)+(58+41)=111
-4x+99=111
Now we need to solve for x. First, move all the constants to the same side. Subtract 99 from both sides, since 99 is being added to -4x.
-4x+99-99=111-99
-4x=12
Next, divide both sides by -4, since -4 and x are being multiplied.
-4x/-4=12/-4
x=-3
Now we know x, and can substitute it in to find the angle measures.
<ABD
-10x+58
-10(-3)+58
30+58
88
<CBD
6x+41
6(-3)+41
-18+41
23
[tex]m \angle ABD = 88^{\circ}\\m \angle CBD = 23^{\circ}[/tex]
Given:
m∠ABC = 111∘
m∠ABD = (-10x+58)∘
m∠CBD = (6x+41)∘
First, find the value of x by creating an equation
Thus:
[tex]m\angle ABD + m \angle CBD = m \angle ABC[/tex] (angle addition postulate)
Substitute
[tex](-10x+58) + (6x+41) = 111[/tex]
Solve for x
[tex]-10x+58 + 6x+41 = 111[/tex]]
Add like terms
[tex]-10x+58 + 6x+41 = 111\\-4x + 99 = 111\\-4x = 111 - 99\\-4x = 12\\[/tex]
Divide both sides by -4
[tex]x = -3[/tex]
Find m∠ABD and m∠CBD by plugging in the value of x
[tex]m\angle ABD = -10x + 58 \\m\angle ABD = -10(-3) + 58 \\m\angle ABD = 88^{\circ}[/tex]
[tex]m \angle CBD = 6x + 41\\m \angle CBD = 6(-3) + 41\\m \angle CBD = 23^{\circ}\\[/tex]
Therefore:
[tex]m \angle ABD = 88^{\circ}\\m \angle CBD = 23^{\circ}[/tex]
Learn more here:
https://brainly.com/question/4208193
1. Show work and find the value of the circumference of the circle with a 12 cm radius.
Answer:
75.36
Step-by-step explanation:
3.14(pi) x 24(diameter) = 75.36(circumference)
Which shows how the distributive property can be used to evaluate 7x8 4/5?
Answer:
61 3/5
Step-by-step explanation:
we realize that 8 4/5 can be written as [8 + (4/5)]
hence 7 x 8 4/5
= 7 x [8 + (4/5)]
= 7 [8 + (4/5)] (use the distributive property, see attached for reference)
= 7(8) + 7(4/5)
= 56 + 28/5 (convert 28/5 into mixed fraction)
= 56 + 5 3/5
= 61 3/5 (answer)
Factor this expression.
4x-12
O A. 4(x-4)
OB. 4(x-6)
O C. 4(x-3)
O D. 4(x-8)
Answer:
C. 4(x-3)
Step-by-step explanation:
Find the volume of this triangular prism
Answer:
4608 ft2
To find the volume of a prism, you have to multiply the area*base*height.
So in this case you have (8*8)*8*9.
That results in, 64*8*9.
You multiply them and get 4608 ft2.
Have a nice day!
Of all 25 marbles in a bag, 3 of the marbles are white. What is the probability that a white marble will be randomly selected from the bag without looking? Write your answer as a percent.
Step-by-step explanation:
Total marbles = 25
Probability of white marble = 3/ 25 = 0.12
Find the volume of the cone
Answer:
12π
Step-by-step explanation:
Volume of the cone is πr^2 * h / 3
r = 3
h = 4
9π * 4 / 3 = 12π
Answer: 37.6991118
Step-by-step explanation:
Jenny has bought 24 pounds of dog food. She feeds her dog 3/8 pounds for each meal. For how many meals will the food last?
Answer:
64 meals
Step-by-step explanation:
24 ÷ 3/8
= 24 x 8/3
= 192/3
= 64 meals
math question screen shot down below
Answer:
The correct answer is A, Point P
Step-by-step explanation:
since the additive inverse of 2 is -2 because -2 + 2 = 0 the correct choice must be choice A, Point P.
math question down below
Answer:
whats the question i dont see the link
Step-by-step explanation:
plz halp meh!!!!!!!
Answer:
M=25-3D
Step-by-step explanation:
Daniel starts with 25 dollars and spends three dollars per day for a d number of days. So the amount of money in his wallet should be equal to the starting number of dollars minus the amount of money he spends. Therefore we get the equation M=25-3D, where M is the amount of money is his wallet, and D us the number of days he buys a drink and chips.
Two number cubes each have sides that are labeled 1 to 6. Jude rolls the 2 number cubes. What is the probability that the sum of the numbers on
cubes will equal 4?
Answer: 3
This is the answer if you think its wrong i don't know its correct i got it right
Can i get some help ♂️
Answer:
[tex]AC=13.5[/tex]
Step-by-step explanation:
Use the Law of Sines as follows:
[tex]\frac{sinA}{a} =\frac{sinB}{b}[/tex]
Insert the values (use the steps from the last problem):
[tex]\frac{sin25}{14} =\frac{sin24}{b}[/tex]
Isolate b. Multiply both sides by b:
[tex]b*(\frac{sin25}{14} )=b*(\frac{sin24}{b})\\\\b*\frac{sin25}{14}=sin24[/tex]
Multiply both sides by 14:
[tex]14*(b*\frac{sin25}{14})=14*(sin24)\\\\b*sin25=14*sin24[/tex]
Isolate b. Divide both sides by sin 25:
[tex]\frac{b*sin25}{sin25} =\frac{14*sin24}{ysin25} \\\\b=\frac{14*sin24}{sin25}[/tex]
Insert the equation into a calculator and round to the nearest tenth:
[tex]b=13.5[/tex]
The length of AC is 13.5 units.
:Done
Question 3 Please help. What is the measure of JLK⌢?
Answer:
Answer is option
Options are related to find the angle of JLK
Step-by-step explanation:
[tex]we \: know \: that \: the \: angle \\ \: in \: a \: circle \:i s \: 360 \: degrees. \\ angle \: of \: JLK = 360 - (given \: angle) \\ \: \: \: \: = 360 - 154 \\ \: \: \: \: = 206 \: degrees[/tex]
Here the given angle is 154 degrees.
Hence the answer is option b) 206 degrees .
HAVE A NICE DAY !
THANKS FOR GIVING ME THE OPPORTUNITY TO ANSWER YOUR QUESTION.
Which best describes the scale factor for each dilation?
Answer: 1= between 0 and 1. 2= greater than 1. 3= equal to 1
Step-by-step explanation: I just did the warm up
Answer:
Dilation 1 has a scale factor
✔ between 0 and 1
.
Dilation 2 has a scale factor
✔ greater than 1
.
Dilation 3 has a scale factor
✔ equal to 1
.
Step-by-step explanation:
