GUYS PLS HELP ME WITH THIS SUPER HARD MATH PROBLEM
2+2
Determine the volume of each fractional dimensions much show your work
Element X is a radioactive isotope such that every 18 years, its mass decreases by half. Given that the initial mass of a sample of Element X is 40 grams, how long would it be until the mass of the sample reached 24 grams, to the nearest tenth of a year?
It would be 13.3 years till the mass of the sample reached 24 grams.
What is exponential decay of a substance?'A quantity is subject to exponentially decay if it decreases at a rate proportional to its current value.'
According to the given problem,
Let x be the number of years spent,
Initial mass = 40 grams
Final mass = 24 grams
Half-life = 18 years
⇒ 24 = 40 × [tex]0.5^{\frac{x}{18} }[/tex]
⇒ 24/40 = 0.5^[tex]\frac{x}{18}[/tex]
⇒ 3/5 = 0.5^[tex]\frac{x}{18}[/tex]
Taking ln on both sides,
⇒ ln (3/5) = [tex]\frac{x}{18}[/tex] ln 0.5
⇒ ln (3/5) / ln (0.5) = x/18
⇒ x = ( 18 × ln (3/5) ) / ln (0.5)
⇒ x = 13.3 years
Hence, we can conclude that the sample need s 13.3 years to decrease its mass from 40 grams to 24 grams.
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For each babysitting job, Tamar charges $6 for bus fare plus $8 per hour. She only accepts babysitting jobs if the total charge is at least $30. What is the minimum number of hours for a babysitting job she would accept? 2 and one-half hours 3 hours 4 hours 4 and one-half hours
concept of pattern in mathematics.
Step-by-step explanation:
A pattern is a series or sequence that repeats.
Math pattern are sequences to calculate or
solve a problem.
please I'm in urgent need of help. what must be added to make (1/4)x^2-(2/3)xy a perfect square?.
Answer:
[tex]\bigg(\frac{2}{3} {y} \bigg)^{2}[/tex]
STEP BY STEP EXPLANATION
[tex] \frac{1}{4} {x}^{2} - \bigg( \frac{2}{3} \bigg)xy \\ \\ = \bigg(\frac{1}{2} {x} \bigg)^{2} - 2. \bigg(\frac{1}{2} {x} \bigg)\bigg( \frac{2}{3} y \bigg ) + \bigg(\frac{2}{3} {y} \bigg)^{2} \\ \\ = \bigg(\frac{1}{2} {x} - \frac{2}{3} y\bigg)^{2} \\ [/tex]
To make [tex] \red{\bold{\frac{1}{4} {x}^{2} - \bigg( \frac{2}{3} \bigg)xy}} [/tex] a perfect square we should add [tex]\purple{\bold{\bigg(\frac{2}{3} {y} \bigg)^{2}}}[/tex]
Answer:
[tex]4/9y^2[/tex]Step-by-step explanation:
Given:
[tex](1/4)x^2-(2/3)xy[/tex]Consider the identity:
[tex](a - b)^2=a^2-2ab+b^2[/tex]We can see that:
[tex]a^2=(1/2x)^2[/tex][tex]a = (1/2)x[/tex][tex]2ab = (2/3)xy[/tex]We can work out the value of b:
[tex]2ab = (2/3)xy = 2(1/2x)(2/3y)[/tex][tex]b=(2/3)y[/tex]Then we are missing b², what needs to be added:
[tex]b^2=(2/3y)^2=4/9y^2[/tex]select the correct location on the table. Consider the following equations.f(x)=x^3+3x^2-x-6. g(x)= x^2-3x-2. Approximate the solution to the equation f(x)=g(x) using 3 iterations of successive approximation. Use the graph as a starting point. NO LINKS!!
Answer:
15/16
Step-by-step explanation:
For the purpose here, we define a starting value as the midpoint of the interval between the integers on either side of the solution. Those integers are 0 and 1, so our starting value for an approximation of x is 1/2.
Each iteration will evaluate the difference f(x)-g(x) at this approximation. If the difference has the sign that matches the difference at the left end of the interval, then the approximation replaces the left end. If the sign matches the difference at the right end, then the approximation replaces the right end. The iteration ends with an approximation that is the midpoint of the new interval.
The attachment shows that our intervals start at [0, 1] and proceed through [1/2, 1], [3/4, 1] to [7/8, 1]. The approximation at the end of the 3rd iteration is x ≈ 15/16.
__
Additional comment
The way this iterative process is defined, the denominator of the n-th approximation will be 2^(n+1). That is, the third iteration will result in a fraction with a denominator of 2^(3+1) = 2^4 = 16, as in 15/16.
As always with repetitive calculations, a graphing calculator or spreadsheet can reduce the work.
If you select a card at random, what is the probability of getting a 4 of hearts
Answer:
LOVE I THINK LOL
Step-by-step explanation:
FOUR HEARTS MEAN YOU ARE GOING TO MARRY A LOVLY WOMAN LOL.
Hasan plans to choose a book from a section of the store where everything is 25% off
He writes the expression d - 0.25d to find the sale price of the book if the original
price is d dollars.
Bella correctly writes another expression, 0.75d, that will also find the sale price of the
book if the original price is d dollars.
Use the drop-down menus to explain what each part of Hasan's and Bella's
expressions mean.
Answer:
750
Step-by-step explanation:
Given:
discount of 25%
Hasan's equation: d - 0.25d
Bella's equation: 0.75d
d represents the original price.
0.25d represents the discount.
0.75d represents the discounted price.
Example: 1,000 is the price. d = 1,000
0.25d = 0.25(1000) = 250 this is the discount
0.75d = 0.75(1000) = 750 this is the discounted price
Hassan: d - 0.25d = 1000 - 250 = 750
Bella: 0.75d = 0.75(1000) = 750
NEED HELP AS SOON AS POSSIBLE! GIVING BRAINLIEST BECAUSE I NEED THIS REALLY SOON!!!!!! ~ thanks ~
Answer:
a) The temperature of the water at 5 p.m. would be below 0
b) The temperature of the water at 5 p.m. would be -2.5 *C
Step-by-step explanation:
A) Adding-10.6 and -8.7 would give you over 19, and this would be more than 16.8. Therefore, we can assume that 16.8- 19 is less than zero
B) -10.6+16.8-8.7=-2.5
one hundred coins weigh 346 grams. How many does 1 coin weigh?
Answer:
3.46grams
Step-by-step explanation:
100coins = 346grams
1 coin = xgrams
then we cross multiply
346 = 100x
therefore x= 3.46grams
Liz buys 5 bags of chips for $10.65. How much does she pay for each bag?
Answer:
she pays $2.13
Step-by-step explanation:
basic math i guess
brainliest please
Answer:
She pays $2.13 per each bag
Step-by-step explanation:
we know this because 10.65/5 (5 being the amount of bags she bought) and 10.65 being how much money she spent.) Divide the 2 (10.65 / 5) you get $2.13
You earn $ for washing 4 cars
Answer:
okay?
how much? this isn't even a question!!
Find two consecutive whole numbers that square root 29 lies between
Answer:
25 and 36
Step-by-step explanation:
5x5=25
6x6=36
Show your work and write an expression using the following criteria:
Divide 3,600 by a multiple of 10
The quotient is also a multiple of 10
Step-by-step explanation:
1. We have to divide 4200 by a number which is a multiple of 10.
Let us assume that the number is 20, which is a multiple of 10.
Now, after division the quotient will be .
2. We have to check whether the quotient is multiple of 10 or not.
Here, the quotient is 210 which is a multiple of 10.
Hence, the required number which is a multiple of 10 is 20.
Order the angle measures , , and from least to greatest.
(Note that the figure is not drawn to scale.)
Mark the theorem below
The angle which measures biggest the opposite side of that angle is biggest.Here
8<10<12JH<IH<JINow
<I < <J < <HAnswer:
least to greatest: ∠I < ∠J < ∠H
Explanation:
angle I:
cosI = [tex]\frac{10^2+12^2-8^2}{2*10*12}[/tex]
I = [tex]cos^{-1} (\frac{3}{4} )[/tex]
I = 41.41°
angle H:
cosH = [tex]\frac{10^2+8^2-12^2}{2*10*8}[/tex]
H = [tex]cos^{-1} (\frac{1}{8} )[/tex]
H = 82.82°
angle J:
cosJ = [tex]\frac{8^2+12^2-10^2}{2*8*12}[/tex]
J = [tex]cos^{-1}(\frac{9}{16} )[/tex]
J = 55.77°
They sum up to 180°, so the steps are correct.
Translate the sentence into an inequality. Twice the difference of a number and 6 is greater than -15. Use the variable w for the unknown number.
Answer:
2(w - 6) > -15
Step-by-step explanation:
2(w - 6) > -15
⇒ 2w - 12 > -15
⇒ 2w > -3
⇒ w > -3/2
Use the circle graph to answer the question. A library classifies its DVDs into one of the categories shown. The library
owns 1830 DVDs.
Determine the number of comedy DVDs.
The number of comedy DVDs will be equal to 604.
What is the percentage?The percentage is defined as representing any number with respect to 100. It is denoted by the sign %. The percentage stands for "out of 100." Imagine any measurement or object being divided into 100 equal bits.
Given that the total number of DVDs are 1830 and the percentage of comedy DVDs is 33%.
The number of comedy DVDs will be calculated as,
N = ( 1830 x 33%)
N = (1830 x 33 ) / 100
N = 604
Therefore, the number of comedy DVDs will be equal to 604.
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STEP BY STEP, LONG DIVISION
Answer:
.53
Step-by-step explanation:
divide 8 by 15 and you get 0.53 explanation As a decimal 8/15 is 0.533 (3 repeating) or about 0.53. To convert 8/15 into a decimal value we simply divide 8 by 15. Since 15 cannot be divided into 8 we add a decimal and a zero then divide 15 into 8, giving us 5 with 5 remaining. Adding another zero allows us to divide 15 into 50 3-times with 5 remaining.
Solve log x = 4. (help pls)
Answer:
x=10000
Step-by-step explanation:
because calculator
Answer:
[tex]x=10000[/tex]
Step-by-step explanation:
[tex]log(x)=4\\\\10^{log(x)}=10^4\\\\x=10000[/tex]
what is 1/10 of 315? Write your answer as a decimal
[tex] \tt \dfrac{1}{10} \times 315[/tex]
31.5 <---- Ans
Answer:
31.5
Step-by-step explanation
If you divide something by 10 you move the decimal over one place to the left.
315.0 / 10 = 31.5
David has 400 yards of fencing and wishes to enclose a rectangular area against a pre-existing fence. What is the maximum area that David can have?
A. 5000 yd^2
B. 10000 yd^2
C. 15000 yd^2
D. 20000 yd^2
Answer: D
The maximum area that David can have is 10,000 yd^2
Area of a rectangleThe formula for calculating the area of a rectangle is expressed as:
A = lw
l is the lengthw is the widthIf David has 400 yards of fencing, then;
P = 2(l +w)
400 = 2( l+ w)
200 = l + w
l = 200 - w
Substitute into the area
A = (200-w)w
A = 200w - w^2
If the area is maximized, then;
dA/dw = 0
dA/dw = 200 - 2w
2w =200
w = 100 yards
Recall that;
200 = l + w
l = 200 - 100
l = 100
The maximum area = 100 * 100
The maximum area = 10,000 yd^2
The maximum area that David can have is 10,000 yd^2
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Question 4 of 10
Table below represents average food cost broken down by meal. If you were
planning a trip, how much should you budget for food costs per day?
Breakfast
Lunch
$10.98
$13.95
$22.56
Dinner
A. $80.00
O B. $45.00
Ο Ο Ο Ο
O C. $50.00
O D. $20.00
SUBMIT
Answer:
D
Step-by-step explanation:
1. Add the costs together 10.98+13.95+22.56=47.49
2. To get an average, divide by the amount of numbers you added together. We added 3 numbers together (10.98+13.95+22.56) so we divide by 3.
47.49/3=15.83
The option closest to our number is D so we round up.
$15.83->$20
Have a good day.
Answer:
C
Step-by-step explanation:
add up breakfast, lunch, and dinner averages. equals 47.49 which is close to $50 for the day
PLEASE HELP ME QUICKKK, FIRST CORRECT PERSON GETS BRAINLIEST
Answer:
the correct choice is marked
Step-by-step explanation:
The tip is 20% of the bill:
20% × $124.00 = $24.80
When that is added to the bill, the total is ...
$124.00 +24.80 = $148.80
Answer:
A.
Step-by-step explanation:
You need to find 20% of the order to find the tip then add that to the original bill.
So, you need to solve 124x0.20 to get 24.80. That's the tip.
Next, add 124+24.80=148.80. There is your answer.
Hope you get an A! <3
현 Which is the product of 7/9 and 6
[tex] \leadsto \sf \dfrac{7}{9} \times 6[/tex]
[tex] \\ \\ [/tex]
[tex] \leadsto \sf \dfrac{7 \times 6}{9} [/tex]
[tex] \\ [/tex]
[tex] \leadsto \sf \dfrac{7 \times \cancel 6}{ \cancel9} [/tex]
[tex] \\ \\ [/tex]
[tex] \leadsto \sf \dfrac{7 \times 2}{3} [/tex]
[tex] \\ \\ [/tex]
[tex] \leadsto \sf \dfrac{14}{3} [/tex]
[tex] \\ \\ [/tex]
[tex] \leadsto \textsf{ \textbf{4.67}}[/tex]
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can ppl pls look at my three recent questions on my page and help me?? ill mark brainliest and there is pictures!
done answer your three lates question, now give me brainliest please
make c the subject of formula
[tex]B = A+ C[/tex]
Answer:
[tex]B = A + C \\ \\ C = B - A[/tex]
ANSWER-
C = A - B or maybeC = B - AEITHER ONE OF THEM IS RIGHT JUST MY BRAIN CAN'T COMPUTE AT THIS POINTSkye's Ice Cream Shoppe is Mario's favorite place to get ice cream. Unfortunately, because he was late arriving there, his friends had already ordered. He did not know what they ordered for him. They told him that it was either a waffle cone or a sundae and that the ice cream flavor was apricot, chocolate, or blackberry .
a. Make a list of all of the possible ice cream orders.
b. What is the probability that Mario will get something with apricot ice cream?
C. What is the probability that he will get a sundae?
d. What is the probability that he will get either something with chocolate or a waffle cone with blackberry?
e. What is the probability that he will get orange sherbet?
Answer:
a)
apricot waffle conechocolate waffle coneblackberry waffle coneapricot sundaechocolate sundaeblackberry sundaeb) 1/3
c) 1/2
d) 1/2
e) 0
Step-by-step explanation:
a) There are 2 different types of dessert and 3 different ice cream flavors.
Therefore, there are 6 possible ice cream orders:
apricot waffle conechocolate waffle coneblackberry waffle coneapricot sundaechocolate sundaeblackberry sundaeb) There are 2 different desserts with apricot ice cream.
⇒ P(apricot ice cream) = 2/6 = 1/3
c) There are 3 combinations of sundae.
⇒ P(sundae) = 3/6 = 1/2
d) P(chocolate) = 2/6 = 1/3
P(blackberry waffle cone) = 1/6
⇒ P(choc) OR P(BWC) = 1/3 + 1/6 = 1/2
e) P(orange sherbet) = 0
as orange sherbet was not an option!
I need help solving this problem.
Answer:
30
Step-by-step explanation:
Let d represent the number of dozens of golf balls ordered. Then 12d is the number of balls.
The cost of the Light Hit balls will be (2.00)(12d). The cost of the Pro Sport balls will be (0.90)(12d). The difference in cost is ...
(2.00)(12d) -(0.90)(12d) = 396.00
1.10d = 33 . . . . . divide by 12, combine terms
d = 30 . . . . . . . divide by 1.10
30 dozen balls of each brand were ordered.
What is the simplest form of the radical expression?
V2+V5
V2-15
Sorry,
Neither of these are radical expressions.
Traits of a radical expression:
The radicand is positive. The radical index is as small as possible.The exponent of each factor of the radicand is a natural number less than the radical index.There are no fractions in the radicand.There are no radicals in the denominator of a fraction.