Answer: A,B,C
Step-by-step explanation: A,B,C is the answer
a researcher in north america discovers a fossil that contains 40% of its original amount of C-14
Using an exponential function, it is found that the substance is 7,535 years old.
What is the exponential function for the amount of a substance?
The function is given by:
[tex]A(t) = A(0)e^{-kt}[/tex]
In which:
A(0) is the initial amount.k is the rate of exponential decay.Carbon-14 has a half life of 5700 years, that is, A(5700) = 0.5A(0), hence we use this to find k.
[tex]A(t) = A(0)e^{-kt}[/tex]
[tex]0.5A(0) = A(0)e^{-5700k}[/tex]
[tex]e^{-5700k} = 0.5[/tex]
[tex]\ln{e^{-5700k}} = \ln{0.5}[/tex]
[tex]k = -\frac{\ln{0.5}}{5700}[/tex]
k = 0.00012160476
Hence:
[tex]A(t) = A(0)e^{-0.00012160476t}[/tex]
It was 40% of the amount when A(t) = 0.4A(0), hence we solve for t.
[tex]A(t) = A(0)e^{-0.00012160476t}[/tex]
[tex]0.4A(0) = A(0)e^{-0.00012160476t}[/tex]
[tex]\ln{e^{-0.00012160476t}} = \ln{0.4}[/tex]
[tex]t = -\frac{\ln{0.4}}{0.00012160476}[/tex]
t = 7535.
More can be learned about exponential functions at https://brainly.com/question/25537936
#SPJ1
if someone ask you to write the tens in 1,567
would you write 67 or 6
if someone asks you to write the tens in
145,677
would you write 77 or 7
if someone asks you to write the hundredths in
146,888
would you write 688 or 8 or 888?? explain pls
Answer:
The tens in 1,567 is 60.
The tens in 145,577 is 70.
The hundreds in 146,888 is 800
Step-by-step explanation:
When looking for tens, you look for the value in the tens column.
For example, in 123, there is a 2 in the tens so it is 20.
Match the circle equations in general form with their corresponding equations in standard form. x2 y2 − 4x 12y − 20 = 0 (x − 6)2 (y − 4)2 = 56 x2 y2 6x − 8y − 10 = 0 (x − 2)2 (y 6)2 = 60 3x2 3y2 12x 18y − 15 = 0 (x 2)2 (y 3)2 = 18 5x2 5y2 − 10x 20y − 30 = 0 (x 1)2 (y − 6)2 = 46 2x2 2y2 − 24x − 16y − 8 = 0 x2 y2 2x − 12y − 9 = 0
The equation given is matched with the respective vertex forms.
What is the standard Equation for a circle ?The standard equation for a circle is given by
(x-h)² + (y-k)² = r²
The equation given in the question are
x² + y² − 4x + 12y − 20 = 0
(x − 6)² + (y − 4)² = 56
x² + y² + 6x − 8y − 10 = 0
(x − 2)² + (y + 6)² = 60
3x² + 3y² + 12x + 18y − 15 = 0
(x + 2)² + (y + 3)² = 18
5x² + 5y² − 10x + 20y − 30 = 0
(x+3)² + (y-4)² = 35
2x² + 2y² − 24x − 16y − 8 = 0
(x-1)² + (y+2)² = 11
The first equation is
x² + y² − 4x + 12y − 20 = 0
It can be written ad
x² -4x + 4 - 4 +y²+12y +36-36 -20 = 0
(x-2)² +(y+6)²= 60
The second equation is
x² + y² + 6x − 8y − 10 = 0
x² +6x +9-9 +y² -8y +16-16 -10 = 0
(x+3)² + (y-4)² = 35
The third equation is
3x² + 3y² + 12x + 18y − 15 = 0
(x + 2)² + (y + 3)² = 18
The fourth equation is
5x² + 5y² − 10x + 20y − 30 = 0
(x-1)² + (y+2)² = 11
The fifth equation is
2x² + 2y² − 24x − 16y − 8 = 0
(x − 6)² + (y − 4)² = 56
To know more about standard equation of Circle
https://brainly.com/question/13658927
#SPJ1
Squares are cut out of the corners of a piece of 18*18 graph paper so that the sides can be folded to make an open box. What is the largest possible number of cubic units in the volume of the box if we require that the length of each edge is a whole number?
Answer:
432 mm²
Step-by-step explanation:
We need to cut out 3x3 squares from corners and make an open box. It's height will be 3mm(see the plan). So volume will be:
V = 12 * 12 * 3 = 432mm²
All the square numbers between 20 and 50
it is 3 numbers all together and they are 25, 36 and 49.
Students in a reading class have three options for their book project: making a brochure, writing a news article, or designing a computer presentation. from past years, the teacher has determined that 20% of students usually choose to make a brochure, 30% of students usually choose to write a news article, and the remaining students usually choose to design a computer presentation. if the teacher uses 20 colored chips in three different colors to model this situation, how many colored chips should she use to represent each book project option? making a brochure: blue chips writing a news article: yellow ships designing a computer presentation: red chips
Answer: 4 blue chips (brochure), 6 yellow chips (news article), and 10 red chips (computer presentation).
Step-by-step explanation: If you have 20 colored chips, then 20% of the people that chose the brochure will be 20% of 20 of the chips. That is 20 * 0.2 = 4. Now, to find how to model the people who chose the news article, it will be 30% of the 20 chips. That is 20 * 0.3 = 6. Thus, 6 chips can be modeled for the news articles. Lastly, we add 6 + 4 and that is 10. The rest is another ten out of the 20. Thus, we can use 10 red chips to model the computer presentation.
The teacher should use 4 blue chips for the making a brochure option, 6 yellow chips for the writing a news article option, and 10 red chips for the designing a computer presentation option.
What is Division?A division is a process of splitting a specific amount into equal parts.
To model this situation using colored chips, we can use the following approach:
Divide the total number of chips (20) into five equal parts, each representing 20% of the total number of students.
For the making a brochure option, use four blue chips to represent the 20% of students who choose this option.
For the writing a news article option, use six yellow chips to represent the 30% of students who choose this option.
For the designing a computer presentation option, use ten red chips to represent the remaining 50% of students who choose this option.
So, the teacher should use 4 blue chips for the making a brochure option, 6 yellow chips for the writing a news article option, and 10 red chips for the designing a computer presentation option.
Hence, the teacher should use 4 blue chips for the making a brochure option, 6 yellow chips for the writing a news article option, and 10 red chips for the designing a computer presentation option.
To learn more on Division click:
https://brainly.com/question/21416852
#SPJ5
What is the ratio of the circumference of a circle to its radius?
Answer:
2 pi : 1
Step-by-step explanation:
for every one unit of radius, there are two pi units in the circumference!
2^-4 simplified form
Answer:
1/16 is the answers for the question
Step-by-step explanation:
please mark me as brainlest
Answer:
Step-by-step explanation:
Ragan makes beaded jewelry. The graph below shows the number of beads on varying cord lengths.
Jewelry
A graph has cord length (inches) on the x-axis and number of beads on the y-axis. A line goes through points (16, 48) and (24, 72).
Which is the best estimate of the number of beads on a cord that is 16 inches long?
5
8
44
48
Answer:
48
Step-by-step explanation:
Answer:
48
Step-by-step explanation:
edge 2023
Cans of wood varnish come in three sizes.
Small can: A 200 ml can costs £0.88.
Medium can: A 500 ml can costs £1.32.
Large can: A 1 litre can costs £3.60.
Calculate the cost of 1 litre for the small and medium cans.
Give your answer in pounds to 2 dp.
The cost of 1 liter for the small and medium cans is 4.4 and 2.4.
What is Unitary method?The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.
As,
Small can: A 200 ml can costs £0.88.
Medium can: A 500 ml can costs £1.32.
Large can: A 1 litre can costs £3.60.
Now, 200 ml = 0.2 l
500 ml = 0.5 l
For 0.2 l = 0.88
For 1 l= 0.88/0.2
For 1 liter = 4.4
For 0.5l medium can = 1.32
For 1 l medium can= 1.32/0.5
For 1 l medium can = 2.4
Hence, cost of 1 liter for the small can is £ 0.88 the cost of 1 liter for the medium can is £ 2.4.
Learn more about this concept here:
https://brainly.com/question/22469540
#SPJ1
Review the debate between former presidents, Jimmy Carter and Ronald Reagan. In a three paragraph essay of (4-5 sentences each), write an evaluation with evidence to support which candidate proposed a more compelling argument about inflation.
Support your claim with specific data presented by each of the candidates. Be sure to mention a minimum of one counterpoint, and refute this point with evidence.
Answer:
A key turning point in American politics was the election of 1980. It indicated the new electoral power of the suburbs. The success that Reagan had as a conservative would initiate a group of parties because liberals and conservatives would either leave politics or change party affiliations through the 1980s and 1990s. The research shows this caused the 1980 election to be recalled as one of America's best historical events.
Step-by-step explanation:
The League of Women Voters is pleased to welcome President Jimmy Carter, the Democratic Party's candidate for re-election to the Presidency, and Governor Ronald Reagan of California, the Republican Party's candidate for the Presidency. The candidates will debate questions on domestic, economic, foreign policy, and national security issues.
In the debate between sitting president Jimmy Carter and Republican challenger Ronald Reagan, Reagan's arguments and explanations best match the available evidence. Carter claims his policies had reduced the inflation rate by 10% in less than a year and points to the 9 million jobs he had provided to reduce unemployment rates. Reagan refutes this by mentioning that while Carter may have decreased the inflation rate from the beginning of the year, the inflation rate increased from 4.4% at the start of his presidency to almost 12% now. A graph provided by Ed Genuity proves this to be true, therefore current evidence supports Reagan's claim.
In the final week of the 1980 presidential campaign between Democratic President Jimmy Carter and Republican nominee Ronald Reagan, the two candidates held their only debate. And then, during the debate, Reagan posed what has become one of the most important campaign questions of all time: “Are you better off today than you were four years ago?” Carter’s answer was a resounding “NO,” and in the final, crucial days of the campaign, his numbers tanked.
On Election Day, Reagan won a huge popular vote and electoral victory. The “better off” question has been with us ever since. Its simple common sense makes it a great way to think about elections. And yet the answers are rarely simple.
Read to know more about this
https://brainly.com/question/15802533?referrer=searchResults
#SPJ10
A restaurant offers a $12 dinner special that has choices for an appetizer, choices for an entrée, and choices for a dessert. How many different meals are available when you select an appetizer, an entrée, and a dessert?.
Answer:
4 is my answer:))))) maybe this will help
Answer:
1
Step-by-step explanation:
it depends on how many choices there are
If there is 1 choice for an appetizer, 1 choice for an entrée, and 1 choice for a dessert
(1 * 1 * 1 = 1)
then there is 1 meal choice
If there are 7 choices of appetizers, 12 choices of entrée, and 6 choices of dessert.
(7 * 12 * 6 = 504)
then there are 504 different options
If there are 5 choices for an appetizer, 12 choices for an entrée, and 3 choices for a dessert
(5 * 12 * 3 = 180)
then there are 180 options
12 choices for entrées, 10 choices for side dishes, and 6 choices for dessert
(12 * 10 * 6 = 3240)
then there are 3240 meal options
you have to multiply the number of entrées (e), meals (m), and desserts (d)
e * m * d = x
you are solving for x, which is the different meals available aka your answer.
so plug in the numbers and that should give you the answer!
hope this helps:)
On the second journey Ikbal drives at an average speed of 64km/h.
work out
(i) the distance he travels in 90minutes,
in km
Answer:
96Km
Step-by-step explanation:
l wrote 90/60 because the speed is given in hours.
so I had to deal with hours only not hours and minutes.
that's why I wrote 90/60 .
you can also choose to divide.
I mean to change the minutes to hours so that the formula can work.
good day.
need help with this question , pls help
Answer:
A = 80g B = 200g
Step-by-step explanation for A:
First, you would find what the serving size is divided by to get the number of people needed to feed 6/3 = 2. Then take that number (3) and divided it by the fish (240g) to get 240/3 = 80.
Step-by-step explanation for B:
You will first need to find how much butter goes into ONE pie by dividing 80 by 6 which is 1.33333333333333. Then do 1.333333333333333 times the number of people to feed (15) to get 200.
Find the value of :
[tex] \sf log_{3 \sqrt{2} }(324) [/tex]
Answer:
4
Step-by-step explanation:
Is that a log with the base of 3√(2) ?
If so....my calculator says the answer is 4
Let's see if we can do it w/ou the calculator:
3 sqrt(2)^x = 324 = 3^4 * 2^2 Now 'LOG' both sides:
x log (3 sqrt 2) = log (3^4 *2^2) = 4 log ( 3 * 2^(2/4)) = 4 log (3 sqrt2)
now divide both sides by log (3 sqrt2 )
x = 4 (If I did the math correctly ! )
Please help i dont get this at all so please i will highly appreciate it .Thank youuu!!!
Answer:
(b) 3 terms, degree 10
Step-by-step explanation:
When simplifying polynomials, the first thing you look at is the exponents of the variables in each term. (The terms are separated by + or - signs.) Only terms with the same set of exponents can be combined.
When considering the degree of the polynomial, you look at the sum of exponents of the variables in each term. That sum is the degree of the term. The degree of the polynomial is the highest of the degrees of the terms.
__
exponents and degreeThe four terms have variables s and t. If we write the exponents of those variables as an ordered pair, we will have one ordered pair for each term:
5s⁶t² ⇒ (exponent of s, exponent of t) ⇒ (6, 2); degree = 6+2 = 8
6st⁹ ⇒ (1, 9); degree = 1+9 = 10
-8s⁶t² ⇒ (6, 2); degree 6+2 = 8 (this is a like term to the first term)
-6t⁷ ⇒ (0, 7); degree 0+7 = 7
The degrees are 8, 10, 8, 7, so the highest degree is 10. This is the degree of the polynomial.
__
combining termsWe can only combine the terms containing s⁶t². Doing that gives ...
(5 -8)s⁶t² +6st⁹ -6t⁷ = -3s⁶t² +6st⁹ -6t⁷ . . . . . three terms
In "standard form", the terms are written in order of decreasing degree:
6st⁹ -3s⁶t² -6t⁷ . . . . . . 3 terms, degree 10
What is the independent variable in the equation y=-5x+2?
Answer: x
Step-by-step explanation:
For this equation, the variable y is dependent on the value of x. The value of y changes depending on the value of x. This means that x is the independent variable for this equation.
One forth of one third of two fifths of a number is 15. What is the number?
A fourth of a third of two fifths is a thirtieth.
(1 x 1 x 2) / (4 x 3 x 5) = 2 / 60 = 1 / 30
A thirtieth of a number () is fifteen, the number is four hundred and fifty.
= 15 / (1 / 30) = 15 x 30 = 450
forty percent of four hundred and fifty is one hundred and eighty.
(450 / 100) x 40 = 180
Answer:
The number is 450
Step-by-step explanation:
One fourth is 1/4,
One third is 1/3
and two fifths is 2/5
let the number be x.
So,
One fourth of one third of two fifths of x is 15.
that is,
1/4 * 1/3 * 2/5 * x = 15
2/4*3*5* x = 15
2/60 * x = 15
1/30 * x = 15
1 * x = 15*30
x = 450
Therefore the number is 450
sin theta / cos theta - cos theta/ sin theta
Answer:
tan theta - cot theta
Step-by-step explanation:
sin/cos = tan
cos/sin = cot
Simplify completely.
3 189x5y7
√/7x²y²
3
Answer:
[tex]\large \boxed{\sf 3x\sqrt[3]{y^5}}[/tex]
Explanation:
[tex]\rightarrow \dfrac{\sqrt[3]{\sf 189x^5y^7}}{\sqrt[3]{\sf 7x^2y^2}}[/tex]
applying radical rule[tex]\rightarrow \sf \sqrt[3]{\dfrac{\sf 189x^5y^7}{\sf 7x^2y^2}}[/tex]
simplify[tex]\rightarrow \sqrt[3]{\sf 27x^3y^5}[/tex]
put cubic root[tex]\rightarrow \sqrt[3]{\sf 27} \sqrt[3]{\sf {x^3} }\sqrt[3]{\sf y^5}}[/tex]
simplify[tex]\rightarrow \sf 3x\sqrt[3]{y^5}[/tex]
Use the formula A=bxh to find the base of a parallelogram if the area is 228 cm² and the height is 12 cm.
O a
Ob
O
Od
19 cm
1.9 cm
19 cm 2
none of the above
Answer:
a) 19 cm
Step-by-step explanation:
Area of a parallelogram: b • h
Given values:
A = 228 cm²b = ? cmh = 12 cmSubstitute these values into the formula:
⇒ A = b • h
⇒ 228 = b • 12 [multiply]
⇒ 228 = 12b [divide both sides by 12]
⇒ 228 ÷ 12 = 12b ÷ 12
⇒ 19 = b
Therefore, the base of the parallelogram is 19 cm.
Please help me with my math
Answer:
x = 72
y = 15
Step-by-step explanation:
m and n are parallel lines so we can write the following equation:
108 + x = 180 because these angles are supplementary
if we subtract 108 from both sides
x = 72 we can also write the following equation:
5y - 3 = x because these are alternate angles
5y - 3 = 72 add 3 to both sides
5y = 75 divide both sides by 5
y = 15
(x^2 + x - 17) + (x − 4) divide using polynomial long division
Answer: x+5 with a remainder of 3 (can also be said as 3/x-4)
Step-by-step explanation: See attachment
Find the range of the given function y = 5x + 2, where x > -2
The range of the function given the domain x > -2 is; Range; y < -8.
What is the range of the function?The range of a function is the set of all possible outcomes of the function. In this scenario, since the domain of the function is given as X > -2. It follows from the function that at all times, the range of the function is given by; y < -8 from; y < 5(-2) +2; y< -8.
Read more on range;
https://brainly.com/question/2264373
#SPJ1
2 years ago, father age was nine times the son age but 3 years later it will be 5 times only. find the present ages of the father and son
Answer:
The Father is currently 47 and the Son is 7
Step-by-step explanation:
Let F and S be the present ages of Father and Son, respectively.
We are told that (F-2) = 9(S-2) [2 years ago, father age was nine times the son age]
We also learn that (F+3) = 5(S+3) [3 years later it will be 5 times only]
Take the first expression and isolate one of the variables (S or F). I'll isolate F:
(F-2) = 9(S-2)
F = 9S - 16
Now use this in the second expression:
(F+3) = 5(S+3)
((9S-16)+3) = 5(S+3)
9S-13 = 5S+15
4S = 28
S = 7
Since F = 9S-16,
F = 9*(7)-16
F = 47
Father is 47 and Son is 7
CHECK:
Was the father 9 times the age of his son 2 years ago?
Father would have been 45 and son 5. Yes, 9*5 = 45
In 3 years will he be 5 times older than his son? Yes, Father would be 50 and son would be 10. 5*(10) = 50
multiple answer problem
[tex]\quad \huge \quad \quad \boxed{ \tt \:Answer }[/tex]
[tex]\qquad \tt \rightarrow \: E.\:\: \overline{DC}[/tex]
or
[tex]\qquad \tt \rightarrow \: F.\:\:\overline{CD}[/tex]
____________________________________
[tex] \large \tt Solution \: : [/tex]
A line with two dots at ends (two ends) represents a line segment.
And it can be represented as :
[tex]\qquad \tt \rightarrow \: \overline{DC}[/tex]
or
[tex]\qquad \tt \rightarrow \: \overline{CD}[/tex]
Answered by : ❝ AǫᴜᴀWɪᴢ ❞
A diver sits on a boat at the surface of the ocean preparing to dive. She dives in and descends to -128 feet. After a few minutes, she ascends 45 feet to swim with a pod of dolphins that has appeared. What integer represents the diver's position in feet (depth) when she swims with the dolphins?
HELP WILL NAME BRAINLIEST
Answer:
The diver's position in feet (depth) when she swims with dolphins is -83 feet.
Step-by-step explanation:
First highlight the important information from the question.
A diver sits on a boat at the surface of the ocean preparing to dive. She dives in and descends to -128 feet. After a few minutes, she ascends 45 feet to swim with a pod of dolphins that has appeared. What integer represents the diver's position in feet (depth) when she swims with the dolphins?
So, first she descends -128 feet, then she ascends 45 feet to swim with dolphins. So, now that we have the important information highlighted we can solve the problem.
-128+45=-83.
The diver's position in feet (depth) when she swims with dolphins is -83 feet.
Hope this helps!
If not, I am sorry.
What is the slope of the graph?
Oslope = -1/3
O slope = -3
O slope = 3
O slope = 1/3
PLS HELP
What is the factored form for the quadratic function below?
y = 7x² - 2x - 5
Oy
(7x+5)(x - 1)
Oy
(7x - 5)(x - 1)
Oy (7x + 1)(x + 5)
Oy (7x+5)(x + 1)
Answer: y = (x - 1) (7x + 5)
Step-by-step explanation:
y = 7x² - 2x - 5 Use the slip and slide method.
y = x² - 2x - 35 Factor
y = (x - 7) (x + 5) Slide 7 back in, divide -7 by 7 to get -1. Slip 7 into (x + 5).
y = (x - 1) (7x + 5)
The factorized form of the quadratic equation is y = (7x+5)(x - 1).
What is a quadratic function?A polynomial function with one or more variables, where the largest exponent of the variable is two, is referred to as a quadratic function. In other terms, a "polynomial function of degree 2" is a quadratic function.
To factor the quadratic function, we need to find two binomials whose product is equal to the given quadratic. Here's one way to factor y = 7x² - 2x - 5:
First, we need to find two numbers whose product is 7(-5) = -35 and whose sum is -2. These numbers are -7 and 5, since (-7)(5) = -35 and (-7) + 5 = -2.
Next, we use these two numbers to split the middle term of the quadratic:
y = 7x² - 7x + 5x - 5
Notice that we have a common factor of 7x in the first two terms and a common factor of 5 in the last two terms. We can factor these out to get:
y = 7x(x - 1) + 5(x - 1)
Now, we have a common factor of (x - 1), which we can factor out to get the factored form:
y = (7x + 5)(x - 1)
Therefore, the correct answer is: y = (7x+5)(x - 1).
To learn more about the quadratic function;
https://brainly.com/question/11485644
#SPJ7
what is the value of sin(80°)cos(20°)-cos(80°)sin(20°)
Answer: sqrt 3 / 2
Step-by-step explanation: cos20°sin80°-cos80°sin20° is about 0.66 and sqrt(3)/2 is about 0.66.
Please mark as brainliest if my answer was correct and/or helpful.
