Answer:
0.35 is less than 0.37 because 35 < 37.
Answer:
C is the correct answer
Step-by-step explanation:
IS ANYONE GOOD AT CALCULUS? PLEASE HELP!!! The rate at which a certain radioactive isotope decays is given by = negative 0.0032 y, where y is the amount of the isotope after t days. After approximately how many days would the amount of this isotope in a sample reach 75% of its original amount?
Answer:
90 days.
Step-by-step explanation:
dy/dt = - 0.0032y
dy = -0.0032y dt
dy/y = -0.0032 dt
Integrating:
ln y = -0.0032t + c where c is some constant
y = e^(-0032t) + e^c
y = A e^(-0032t) where A is a constant.
At time 0 we can let y = 1 so in that case A = 1
When there is 0.75 of y left:
0.75 = e^-0032t
ln 0,75 = -0032 t
t = ln 0.75 / -0032
t = 90.
Answer:
B. 90 days
Step-by-step explanation:
Edge 2022
The hypotenuse, c, of right triangle ABC is 5.0 cm long. Give the trigonometry ratio cosA=0.50 for angle A, what is the area of the triangle to the nearest tenth of a cm?
Answer:
[tex]\frac{25\sqrt{3} }{8}[/tex]
Step-by-step explanation:
CosA = [tex]\frac{1}{2}[/tex] , so <A is 60º
Hypotenuse (c) is 5
Opposite is (b)
Adjascent is (a)
cos A = [tex]\frac{adjascent}{hypotenuse}[/tex] -----> [tex]\frac{1}{2} = \frac{a}{5}[/tex] ---------> a = [tex]\frac{5}{2}[/tex]
Pytagoras
[tex]5^{2} = (\frac{5}{2}) ^{2} + b^{2}\\ b^{2} = 25 - \frac{25}{4} \\b^{2} = \frac{75}{4} \\\\b = \frac{5\sqrt{3} }{2}[/tex]
A = b . a . 1/2
A = [tex]\frac{25\sqrt{3} }{8}[/tex]
CosA = , so <A is 60º
Hypotenuse (c) is 5
Opposite is (b)
Adjascent is (a)
cos A = -----> ---------> a =
Pytagoras
A = b . a . 1/2
A =
Step-by-step explanation:
74.88 rounded to three significant figures?
Answer:
74.9
Step-by-step explanation:
Round to the tenths place.
Answer:
74.9
Step-by-step explanation:
When the question asks for something to be rounded to 3 significant figure,
then round in such a way that there are only 3 non-zero digits in the number.
Hope this helps.
Good Luck
How is the graph of log (x – 2) + 1 translated from the graph of log x?
Answer:
See the two translations described below
Step-by-step explanation:
Start with the graph of y = log x. This graph passes through (1, 0) and exists only for x > 0. The line x = 0 is its vertical asymptote.
Translating this graph 2 units to the right results in h(x) = log (x - 2).
Translating the graph of h(x) = log (x - 2) upward by 1 unit results in the graph of log (x – 2) + 1.
I need help ASAP. Please right answers only
Answer:
a,b,e
Step-by-step explanation:
Answer:
B, C and E
Step-by-step explanation:
Evaluate: 14/2 - 3 + 6/3
Answer:
Brainliest!!!
Step-by-step explanation:
see picture
Answer:
[tex]6[/tex]
[tex] \frac{14}{2?} - 3 + \frac{6}{3 ?} \\ 7 - 3 + \frac{6}{?3 } = 6 \\ 4 + \frac{6}{?3} = 6 \\ 4 + 2 = 6[/tex]
find the derivatives of the following implicit function
Answer:
[tex]\frac{d}{dx}\left(y\right)=\frac{2-6x+6y}{-6x+2y+1}[/tex]
Step-by-step explanation:
[tex]3x^2-6xy+y^2=2x-y\\\mathrm{Treat\:}y\mathrm{\:as\:}y\left(x\right)\\\mathrm{Differentiate\:both\:sides\:of\:the\:equation\:with\:respect\:to\:}x\\\frac{d}{dx}\left(3x^2-6xy+y^2\right)=\frac{d}{dx}\left(2x-y\right)\\\frac{d}{dx}\left(3x^2-6xy+y^2\right)=6x-6\left(y+x\frac{d}{dx}\left(y\right)\right)+2y\frac{d}{dx}\left(y\right)\\\frac{d}{dx}\left(2x-y\right)=2-\frac{d}{dx}\left(y\right)\\6x-6\left(y+x\frac{d}{dx}\left(y\right)\right)+2y\frac{d}{dx}\left(y\right)=2-\frac{d}{dx}\left(y\right)[/tex]
[tex]\mathrm{For\:convenience,\:write\:}\frac{d}{dx}\left(y\right)\mathrm{\:as\:}y^{'\:}\\6x-6\left(y+xy^{'\:}\right)+2yy^{'\:}=2-y^{'\:}\\\mathrm{Isolate}\:y^{'\:}:\quad y^{'\:}=\frac{2-6x+6y}{-6x+2y+1}\\y^{'\:}=\frac{2-6x+6y}{-6x+2y+1}\\\mathrm{Write}\:y^{'\:}\:\mathrm{as}\:\frac{d}{dx}\left(y\right)\\\frac{d}{dx}\left(y\right)=\frac{2-6x+6y}{-6x+2y+1}[/tex]
plz help me how would you solve 4x + 2y = 18, 3x - 5y =20 by elemination
Answer: x = 5, y = -1
Step-by-step explanation:
Equation 1: 4x + 2y = 18
Equation 2: 3x - 5y = 20
In order to eliminate one of the variables , find the LCM of either x or y.
I chose to eliminate y. The LCM of 2 & 5 is 10.
Multiply the entire equation so the coefficient of the variable equals the LCM.
Then add the equations and solve for the remaining variable.
5(4x + 2y = 18) --> 20x + 10y = 90
2(3x - 5y = 20) --> 6x - 10y = 40
26x = 130
÷26 ÷26
x = 5
Next, input x = 5 into either of the equations to solve for y.
Equation 1: 4x + 2y = 18
4(5) + 2y = 18
20 + 2y = 18
-20 -20
2y = -2
÷2 ÷2
y = -1
evaluate -5+(-5r)+10
Solve and graph. Thank you so much.
Answer:
Step-by-step explanation:
-9 + b/4 >= -4
b/4 >= 5
b >= 20
the solution is d
URGENT: At what annual rate of simple interest must $12,000 be invested to earn $135 in interest each quarter? (I will give brainliest)
Answer:
4.5%
Step-by-step explanation:
Firstly we should understand that a quarter is every three months.
So if $135 is earned each quarter, then 4 * 135 = $540 is earned per annnum
We use the simple interest formula to get the rate.
Mathematically;
I = PRT/100
where P is the amount deposited = 12,000
R is what we are looking for which is the rate
T is the time which is 1 year
I is the interest which is 540
We can rewrite the simple interest formula to be:
100I = PRT
R = 100I/PT
Thus substituting the values we have;
R = (100 * 540)/(12,000 * 1) = 4.5%
Answer:
4.5%Step-by-step explanation:
Using the simple interest formula to tackle this question.
[tex]SI = \frac{PRT}{100}[/tex]
P = principal = $12,000
R = rate (in %) = ?
T = Time(in years) = 1/4 years
135 = [tex]\frac{12000*R}{100*4}[/tex]
[tex]135 = \frac{12000R}{400}\\ 54000 = 12000R\\R = \frac{54000}{12000}\\ R = 4.5\ %[/tex]
The annual rate of simple interest is 4.5%
PLEASE HELP!! if sec x=5/3 what is the value of b? NL=20 LM=3b angle of L is x degrees.
a. b=4
b. b=5
c. b=6
d. b=7
Answer:
a. b=4
Step-by-step explanation:
[tex]\sec \theta =\dfrac{1}{\cos \theta} = \dfrac{Hypotenuse}{Adjacent}[/tex]
From the attached triangle drawn below:
NL=20, LM=3b, [tex]\angle L=x^\circ[/tex]
[tex]\sec x =\dfrac{20}{3b}[/tex]
Since we are told that:
[tex]\sec x =\dfrac{5}{3}\\$Then:\\\dfrac{20}{3b} =\dfrac{5}{3}\\$Cross multiply\\5 \times 3b =20 \times 3\\15b=60\\$Divide both sides by 15\\15b \div 15 =60 \div 15\\b=4[/tex]
The correct option is A.
Answer:
B= 4
Step-by-step explanation:
I got it right on the test
In the diagram, which two angles are corresponding angles with angle 12?
Angle 8 and Angle 16
Angle 6 and Angle 10
Angle 9 and Angle 11
Angle 5 and Angle 15
Answer:
It's 8 the answer is 8
Step-by-step explanation:
∠8 and ∠16 are corresponding angles with ∠12
What is corresponding angles ?the angles which occupy the same relative position at each intersection where a straight line crosses two others. If the two lines are parallel, the corresponding angles are equal
According to the question,
Given the diagram we have to find the angles which are corresponding angles with ∠12.
Those angles which are on the same side of traversal called corresponding angles.
By definition of corresponding angles the angles which are corresponding to ∠12 are ∠8 and ∠16. These angles lie on same side of traversal line.
Hence, ∠8 and ∠16 are corresponding angles with ∠12
Option 1 is correct.
To learn more about corresponding angles from here
https://brainly.in/question/504604
#SPJ2
Which function has a negative discriminant value?
Answer:
i believe that the answer is a but if its not that then it must be d
Step-by-step explanation:
sorry if i'm wrong
Answer:
The guy above me is wrong. The answer is B
Step-by-step explanation:
edge
∠A=8x−10 ∘
∠B=3x+90 ∘
PLEASE PLEASE HELP OR I WON'T PASS MY MATH CLASS AND I WILL HAVE TO TAKE ANOTHER YEAR OF MATH
Answer:
Step-by-step explanation:
if vertical angles (formed when two lines cross each other) or congruent angles (equal degree measure total)
8x-10=3x+90
5x=100
x=20
if complementary (together equal 90 degrees)
8x-10+3x+90=90
11x+80=90
11x=10
x=(10/11)
which in decimal form is about 0.90
if supplementary (together equal 180 degrees)
8x-10+3x+90=180
11x+80=180
11x=100
x=(100/11)
which in decimal form is about 9.09
Which expression is equivalent to (- 2c / d^2)^3
-8c^3/d^6 is equivalent to the expression
Answer:
-8c^3/d^6
You are correct!
I need a answer please
Answer:
You can not select three options, but only these two:
the graph has a domain of all real numbers
the graph has a range of y≥1
Step-by-step explanation:
See attachments.
Initially, there were only 86 weeds in the garden. The weeds grew at a rate of 18% each week. The following function represents the weekly weed growth: f(x) = 86(1.18)x. Rewrite the function to show how quickly the weeds grow each day. f(x) = 86(1.02)x; grows approximately at a rate of 0.2% daily f(x) = 86(1.18)7x; grows approximately at a rate of 1.8% daily f(x) = 86(1.02)7x; grows approximately at a rate of 2% daily f(x) = 86(1.187)x; grows approximately at a rate of 0.18% daily
Answer:
A.f(x) = 86(1.04)x; grows approximately at a rate of 0.4% daily
Step-by-step explanation:
i did this question already
hope this helps
Answer:
it's C
Step-by-step explanation:
Today you jogged 1/3 of a mile
before stopping to chat for a
moment with your friend. Then you
continued to jog another 1/3 of a mile
before stopping for a drink of water.
How far did you jog all together?
Use the number line to help you.
Type your answer in the blue box.
PLEASE HELP ILL MAKE BRAINLIEST
Which of the following is a monomial?
A.) 3/x
B.) 5x^2 + 2x + 3
C.) 4x
D.) sqre x-1
Answer:
4x is a monomial
Step-by-step explanation:
it has one type of term, in this case one with a variable
Solve The System Of Equations
Answer:
x=4, y=-7
Step-by-step explanation:
A) -8x - 3y = -11 .(-5) -----> A) 40x + 15y = 55
B) -7x - 5y = 7 . (3) ------> B) -21x -15y = 21
A) + B) ----> 19x = 76 --------> x = 4
-8 . 4 - 3y = -11
-32 - 3y = -11
32 + 3y = 11
3y = 11 - 32
3y = -21
y = -7
The length of a rectangular park is 20 feet longer than the width of the park.If the length of the park is 36 feet,what is the width of the park?
Answer: width = 16 ft.
Step-by-step explanation:
let width be w
Length is w + 20
Given
w + 20 = 36
w = 36 - 20
w = 16
Answer:
16 ft
Step-by-step explanation:
l= w+20
36= w+20
w= 36-20
w=16 ft
slope (-5,12)(-17,4)
So the right answer is 4/11
please see attached picture for full solution
Hope it helps
Good luck on your assignment
Answer:
[tex] = \frac{2}{3} [/tex]
Step-by-step explanation:
[tex]slope = \frac{y1 - y2}{x1 - x2} \\ = \frac{12 - 4}{ - 5 - ( - 17)} \\ = \frac{8}{ - 5 + 17} \\ = \frac{8}{12} \\ = \frac{2}{3} [/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
The cost of a ticket increases by 10% to £18.15
Work out the original cost.
Answer:
£16.50
Step-by-step explanation:
[tex]x \times (1+\frac{10}{100} )=18.15[/tex]
[tex]x \times \frac{110}{100} =18.15[/tex]
[tex]\frac{110}{100} x=18.15[/tex]
[tex]1.1x=18.15[/tex]
[tex]\frac{1.1x}{1.1}=\frac{18.15}{1.1}[/tex]
[tex]x=16.5[/tex]
Answer: £16.50
Step-by-step explanation:
Let the original cost be x
x + 10/100x = 18.15
1.1x = 18.15
x = 16.50
Help I don't understand it.
Answer:
6/15 * 2/14 = 12/210
Step-by-step explanation:
This is compound probability. To calculate compound probability, you need to multiply the probabilities of each event happening together.
In this example, the events are selecting a pineapple cake, then a strawberry cake.
Let's find the probabilities!
There are 2 strawberry cakes, 6 pineapple cakes, and 7 chocolate cakes. This means that he has 15 cakes in total.
Therefore, the probability of selecting a pineapple cake is 6/15.
Now, if we assume that he has selected a pineapple cake already, there are now 14 cakes.
Next, the probability of selecting a strawberry cake is now 2/14. This is because he already took a pineapple cake, and now he has to pick a strawberry cake out of the remaining 14 cakes.
Multiply these two probabilities to find the compound probability: 12/210 ( this could be further simplified, but that's how they give it to you! )
Hope this helps! Please feel free to contact me if you have any further questions :)
150 miles converted to kilometres?
Answer:
erm
Step-by-step explanation:
241.402
B is the midpoint of AC. Find AB, BC, and AC
Answer:
9, 9, 18
Step-by-step explanation:
3x=5x-65x-3x=62x=6x=3AB=3x=9
BC=AB=9
AC=2AB=18
B is mid point of AC
that means,
[tex]\frac{3x + 5x - 6 }{2} = b \\ \: \: \: \: \: \: \: \: \: \: \: \frac{8x - 6}{2}= b \\ \frac{2(4x - 3)}{2} = b \\ b = 4x - 3[/tex]
[tex]3x = 5x - 6 \\ 2x = - 6 \\ x = - 3[/tex]
[tex]ab = 3x = 3 \times - 3 = - 9 \\ ab = - 9[/tex]
[tex]bc = 5x - 6 = 5 \times - 3 (- 6) \\ \: \: \: \: \: = - 15 - 6 = - 21[/tex]
[tex]ac = 8x - 6 = 8 \times - 3( - 6) = - 24 - 6 = - 30[/tex]
[tex]hope \: it \: helped[/tex]
basil asks 40 students how many books they bought last year. the chart shows information about the number of books they each bought.
a) what is the percentage of those students who bought 20 or more books?
b) work out an estimate for the mean number of books bought.
please show the full working out.
Number of students who bought 0-4 books= 9
number of students who bought 5-9 books= 10
number of studenst who bought 10-14 books= 13
number of students who bought 15-19 books= 2
number of studenst who bought 20-24 books= 6
please show the full working out
Answer:
a) 15% b) 10.25Step-by-step explanation:
Probability is the likelihood or chance that an event will occur.
Probability = number of expected outcome/total outcome.
a)Total number of student is the total outcome = 40
Expected number of outcome is the number of students who bought 20 or more books = 6 (number of students who bought 20-24 books)
Probability of those students who bought 20 or more books = 6/40 = 0.15
Expressing as percentage = 0.15 * 100 = 15%
This means that 15% of the total students bought 20 or more books
b) Mean is calculated using the formula [tex]\overline x =\frac{\sum fx}{N}[/tex]
f is the frequency
x is the midpoint of the class interval
N is the total number of students.
Check the attachment for the frequency table.
[tex]\overline x = \frac{410}{40}\\ \overline x = 10.25[/tex]
Mean number of books bought is 10.25
Please answer correctly !!!!!! Will mark brainliest !!!!!!!!!!!!
Answer:
x+5
Step-by-step explanation:
Side is equal to sqrt area
= sqrt x^2 +10x + 25
= x+5
So one side of the square is x+5 metres
Answer:
(x+5) meters long
Step-by-step explanation:
x^2 + 10x+25
We recognize that this is a perfect square trinomial
a^2 + 2ab+b^2 = (a+b)^2
x^2+2*5*x+5^2 = (x+5)^2
Since this is a square
A = s^2 where s is the side length
(x+5) ^2 =s^2
Each side is (x+5)
plz help, if your answer is correct I will give it a brainiest, plzzzzz help
sorry I don't want to give you the wrong answer
Answer:
42 units²
Step-by-step explanation:
It can be split in two parts:
rectangle with sides of 1 and 12 units and
a right triangle with base (6-1)= 5 units and the height of 12 units.
then the area:
A= 1*12 + 1/2*5*12= 12+ 30= 42 units²