Answer:
x=-2
Step-by-step explanation:
The number of carbon atoms in a fossil is given by the function [tex]y = 5100(0.95)^{x}[/tex], where x represents the number of years since being discovered. What is the percent of change per year? Explain how you arrived at your answer.
Answer:
[tex]\%x=5\%[/tex]
Step-by-step explanation:
From the question we are told that:
Carbon atoms in fossil function
[tex]y=5100(0.95)^x[/tex]
Generally the equation a 2 year change is mathematically given by
For[tex]x=1[/tex]
[tex]y_1=5100(0.95)^1\\y_1=4845[/tex]
For [tex]x=2[/tex]
[tex]y_2=5100(0.95)^2\\y_2=4602.75[/tex]
Generally the equation percentage year changes [tex]\%x[/tex] is mathematically given by
[tex]\%x=\frac{y_1-y_2}{y_1} *100[/tex]
[tex]\%x=\frac{4845-4602.75}{4845} *100[/tex]
[tex]\%x=5\%[/tex]
Therefore the percent of change per year is
[tex]\%x=5\%[/tex]
PLEASE GIVE RIGHT ANSWER Triangle EFG has coordinates E (0, 0), F (0, 2), and G (3, 0). If ΔEFG ≅ ΔXYZ, what is the measure of XY? 1.5 units 2 units 3 units 3.5 units
Answer:
2 units
Step-by-step explanation:
Congruent triangles are those triangles, which have same shape & size (same side & angle size).
If ΔEFG ≅ ΔXYZ. And, E (0, 0), F (0, 2), and G (3, 0)
So, length EF = length XY.
Length of E (0,0) & F (0,2) is 2 units
As triangles are congruent, EF = XY
Hence, measure of XY = 2 units
Answer:
2 units
Step-by-step explanation:
What is the mode of the following numbers?
3,7, 5, 2, 5, 5, 2,5
The mode is 5.ㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤ
Answer:
The mode is 5, hope this helps!
please can someone help my assignment in math
Answer/Step-by-step explanation:
1. B = 180 - (90 + 58) (sum of triangles)
B = 32°
Let's find a and b using trigonometric ratios:
Reference angle = 58°
Opposite = a = ?
Hypotenuse = c = 27
Adjacent = b = ?
✔️To find a, apply SOH:
Sin 58 = Opp/Hyp
Sin 58 = a/27
a = 27*Sin 58
a = 22.8972986 ≈ 22.9 (nearest tenth)
✔️To find b, apply CAH:
Cos 58 = Adj/Hyp
Cos 58 = b/27
b = 27*Cos58
b = 14.3 (nearest tenth)
2. B = 180 - (90 + 63) (sum of triangles)
B = 27°
Let's find a and b using trigonometric ratios:
Reference angle = 63°
Opposite = a = 11
Hypotenuse = c = ?
Adjacent = b = ?
✔️To find b, apply TOA:
Tan 63 = Opp/Adj
Tan 63 = 11/b
b = 11/Tan 63
b = 5.6 (nearest tenth)
✔️To find c, apply SOH:
Sin 63 = Opp/Hyp
Sin 63 = 11/c
c = 11/Sin 63
c = 12.3 (nearest tenth)
1 pts The function f(x) = 12,900(0.40)x models the population of ants in a house x days after their discovery. Which statement describes the population of ants?
Answer:
f(x) = 500 • 1.1x
Step-by-step explanation:
To solve the question, we need to understand that:
- The population of ants is going to increase with time as they mate and have a population positive growth rate.
- The initial number of ants is 500.
- The rate at which it increases will be multiplied with x months
We will work our way out by removing the wrong answers first
Since,
The population cannot be decreased so we can neglect the last two options involving 0.9 as it will result in a decrease in the population.
Now we are left with two options:
a) f(x) = 500 • 1.1x
b) f(x) = 1.1 • 500x
Since in the option (b) , 500 is multiplied with x , it is not possible as 500 is a constant initial amount and not a factor of growth of population. The growth factor is supposed to be multiple of x months.
So, the correct answer is f(x) = 500 • 1.1x
100 POINTS! :)
Please answer the question correctly WITH WORK...otherwise I will report! :)
Joshua has a ladder that is 12.8 ft long. He wants to lean the ladder against a verticle wall so that the top of the ladder is 11 ft above ground. For safety reasons, he wants the angle of the ladder no greater than 75 degrees. Will the ladder be safe at this height? Show your work.
Answer: So we'll use trig to solve this because it's a right triangle. The hypotenuse is the ladder (h) and the two smaller sides are the ground and the vertical wall (w).
That angle ladder makes with the ground = €
SOH: sin € = opposite/hypotenuse
No the ladder won't be safe!!!
Now let's make it safe:
The ladder's length (w) is constant, so stays 12
So now let's ask in an inequality what height will be safe (75° or less)
what does that mean?? well as long as you put the ladder against the wall so that the height from ground to top of the ladder is < 11.6 ft!!
Hope that helps! :-D
Step-by-step explanation:
chelsey needs 18 3/4 grams of chemical x for a science project she found 5 1/2 grams in one container and 11 1/4 grams in another container how much more does she need
Answer: C=2
Step-by-step explanation:
Answer:
2
Step-by-step explanation:
5 1/2 + 11 1/4 = 16 3/4
18 3/4 - 16 3/4 = 2
what is the ratio of the size of the two amoeba
Answer:
between 200 750 is the answer
For every vote Bryan got for class president, Will got three votes. What is an equivalent ratio to the situation described?
Answer:
An equivalent ratio would be 1:3 because when Bryan gets one vote, Will gets 3.
Step-by-step explanation:
I hope this helps! Have a great rest of your day!
the circumference of a circle is 62 TT cm. the area of the circle is ___ TT cm^2.
Answer:
961 TT cm^2
Step-by-step explanation:
c=TTD note that d is diameter which is 62 thus radius is half 31a=TTr^2. TT31^2Answer is 961 TT cm^2Divide (x^3 - 4x^2 - 2x -5) by (x-5)
Answer:
Quotient = x² + x + 3
Reminder = 10
Step-by-step explanation:
We need to divide , x³ - 4x² - 2x - 5 by x - 5
x - 5) x³ - 4x² - 2x - 5 ( x² + x + 3
- x³ -(+)5 x²
_______________
0 + x² - 2x - 5
x² -5x
__________________
0 +3x - 5
+3x -15
__________________
+10
1/8 of a cup of cinnamon was sprinkle evenly over some pieces of toast. if 1/32 of a cup was sprinkled on each piece, how many pieces were sprinklered?
A) 4
B) 6
C) 7
D) 8
Answer:
the answer is 4
Step-by-step explanation:
i took the test =p
Tai has a bag of different-colored balloons. Without looking in the bag, she selects a balloon, records its color, and puts it back in the bag. All balloons are equally likely to be chosen. She performs 50 trials.
Number of times a red balloon was chosen 15
Number of times a yellow balloon was chosen18
Number of times a green balloon was chosen9
Number of times a pink balloon was chosen8
Based on the data Tai collected, what is the estimated probability, in simplest form, of choosing a yellow balloon from the bag?
A. 9/50
B. 18/100
C. 9/25
D. 50/18
Answer:
9/25
Step-by-step explanation:
Please help!!!!!!!!!!!!!!!!
Answer: Shows us the pictures of the subsets.
Step-by-step explanation:
Please help
What is the equation of the given line?
Answer:
y = 1
Step-by-step explanation:
Since the line is horizontal, that means there's no slope (y = b)
Since the line hits the y-axis of 1, the answer is y = 1
PLEASE HELP 3. what is the source of the line that contains the coordinate points (8, -3) and (-2, 7)
9514 1404 393
Answer:
-1
Step-by-step explanation:
The slope of a line between two points is given by the slope formula:
m = (y2 -y1)/(x2 -x1)
m = (7 -(-3))/(-2 -8) = 10/-10
m = -1
The slope of the line is -1.
I’ll give Brainliest answer for the right answer
Answer:
You may report me if you wish as long as you know i cared enough to write this for you
Step-by-step explanation:
I know i may be unwanted here but I just want you to know that you are incredible and that I love you for you! You are special to everyone you meet, and should not change who you are. I know your life may be tough, but you are strong and can get through it!
The price of 1 kg of silver on 1st January 2010 was $607
By 1st January 2015, the price of 1 kg of silver had decreased by 9.4%
Work out the price of 1 kg of silver on 1st January 2015.
Give your answer correct to the nearest dollar
Answer:
550
Step-by-step explanation:
9.4/100 multiplied by 607 is 57
subtract this from 607 and the answer is 549.9, to the nearest dollar is 550
Please someone help please
Answer:
subtract
Step-by-step explanation:
Answer:
Its just to subtract and thats all.
Martha has two pet poodles. Fifi, her standard poodle, weighs 7 times as much as Buttercup, her toy poodle.
Pick the diagram that models the ratio in the story.
If Fifi weighs 56 pounds, how much does Buttercup weigh?
pounds
The diagram that models the ratio in the story is diagram A.
When fifi weighs 56 pounds, Buttercup will weigh 8 pounds.
What is a ratio?It should be noted that ratio demonstrates how many times one number can fit into another number. It contrast two numbers by ordinarily dividing them. A/B will be the formula if one is comparing one data points.
Let buttercup be x
Let Fifi be 7x
Fifi weighs 56 pounds. This will be:
7x = 56
7x = 56
Divide
x = 56 / 7
x = 8
Buttercup is 8 pounds.
Learn more about ratio on:
brainly.com/question/2328454
#SPJ1
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP HELP I NEED HELP ASAP
HELP I NEED HELP ASAP HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
Answer:
C
Step-by-step explanation:
if x degree and 115 degree are co exterior angles find the vaule of x degree
Answer:
65 degrees
Step-by-step explanation:
An exterior angle form a linear pair with an interior angle.
A linear pair of angles must add up to 180 degrees
180-115 = 65
what is the answer for 3.4x - 2y when x=1 and y=-2
Answer:
Step-by-step explanation:
3.4x - 2y
Putting values of x and y in the equation
3.4(1) - 2(-2)
= 3.4 + 4
= 7.4
Complete the equations below. please please
Answer:
364 hundredths÷7
Step-by-step explanation:
3.64=364/100= 365 hundredths
The price of an item has been reduced by 60%. The original price was $45. What is the price of the item now?
Answer:
$27
Step-by-step explanation:
WILL MARK BRAINLIEST PLS HELP
7b^2-63b+140 Factor the polynomial (show your work)
Answer:
7 (b - 5) (b- 4)
Help please.
Tony and Edwin each built a rectangular garden. Tony’s garden is half as long and 6 times as wide as Edwin’s garden. If the area of Edwin’s garden is 400 square feet, what is the area of Tony’s garden?
Answer:
1200 ft²
Step-by-step explanation:
Let's say that Edwin's garden was 400 feet long and 1 foot wide.
If Tony's garden is half as long and 6 times as wide, then we need to divide 400 in half and multiply 1 by 6 to get the dimensions of Tony's garden.
400/2 = 200 ft
1 × 6 = 6 ft
Area of Tony's Garden = 6 x 200 = 1200 ft²
Consider this right triangle with given measures.
What is the length of the missing leg?
Answer:
The answer is 6 feet.
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
A parallelogram has base 16 cm and height 5 cm. What is its area?
Answer:
80 is the answer u have read the formula