Answer:
Step-by-step explanation:
I'm assuming you're looking for the age of the mammal hide, since there's no question here, but there's also nothing else to solve for. Remember a few things before we move on. First, if we are not told the initial amount with which we start, we have to assume that it's 100%. Second, remember that natural log and e are inverses of each other so they eliminate each other in application. Now to set up the problem. It looks like this:
[tex]71=100e^{-.0001t}[/tex] and begin by dividing both sides by 100 to get
[tex].71=e^{-.0001t}[/tex] and take the natural log of both sides. The other important thing to remember about the rules for logs and natural logs is that when you take the natural log of something, you are "allowed" to move the exponent down out front, which is why we do this. We cannot currently solve for t when it's stuck up there where it is right now. Taking the natural log allows us to bring that exponent down AND eliminate both the natural log and the e at the same time:
ln(.71) = -.0001t and we divide to solve for t:
[tex]\frac{ln(.71)}{-.0001}=t[/tex] and
[tex]\frac{-.3424903089}{-.0001}=t[/tex] so
t = 3424.9 years, or rounded, 3425 years.
PLEASE HELP! Which of the following ordered pairs is a solution to the given system of equations?
A. (12, 8)
B. (3, 5)
C. (-3, 3)
D. (0, 4)
Answer:
A number has to be the answer
Find the value of x
Help please
Answer:
isnt it 41
Step-by-step explanation:
Answer:
x = 90°
Step-by-step explanation:
Since AC || BD
x + 90° = 180°
x = 180 - 90
x = 90°
Ethan buys 4 pack of muffins. he uses a coupon an saves 2$ off total.
Which expression represents his total cost?
Answer:
4x-2
Step-by-step explanation:
X=muffins
[tex]\text{Solve for 'x'.}\\\\x^2-25=0\\\\\text{Thank you.}[/tex]
Hi there!
»»————- ★ ————-««
I believe your answer is:
[tex]x = \pm 5[/tex]
»»————- ★ ————-««
Here’s why:
⸻⸻⸻⸻
[tex]\boxed{\text{Solving for 'x'...}}\\\\x^2-25 = 0\\-------------\\\rightarrow x^2 -25 + 25 = 0 + 25\\\\\rightarrow x^2 = 25\\\\\rightarrow \sqrt{x^2}=\sqrt{25}\\\\\rightarrow \boxed{x = \pm 5}[/tex]
⸻⸻⸻⸻
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
Answer:
[tex]x = 5 \: \: \: or \: \: \: x = - 5[/tex]
Step-by-step explanation:
[tex] {x}^{2} - 25 = 0 \\ {x}^{2} - {5}^{2} \\ ( x - 5)(x + 5) = 0 \\ \\ x - 5 = 0 \\ x = 5 \\ or \\ x + 5 = 0 \\ x = - 5[/tex]
Worth 10 pts ... pls help
Answer:
the length is 8cm???
Step-by-step explanation:
its kind of obvi (i Think)
Suppose you find that the correlation coefficient for a set of data is 0.826. What is the coefficient of determination and what does it mean?
Answer:
[tex]r^2 = 0.826^ 2 =.6822[/tex]
[tex]r^2 =[/tex] a measure of how strong the ("how fit") the relationship is
it is always positive between 0 and 1
Step-by-step explanation:
coefficient of determination = r^2
r^2 = 0.826^ 2 =.6822
Which is not an equation of the line that passes through the points (1, 1) and (5,5)?
Answer:
x - y = 0
Step-by-step explanation:
y2 - y1 / x2 - x1
5 - 1 / 5 - 1
4/4
= 1
y = 1x + b
5 = 1(5) + b
5 = 5 + b
0 = b
if the diagonal of a square is √48 what is the area of a square
Answer:
using Pythagoras' theorem c²=a²+b²
the diagonal is the hypotenuse of one of the triangles formed
let x represent one side of the square
√48²=x²+x²
√48²=2x²
48=2x²
48/2=2x²/2
24=x²
√24=√x²
4.8989794855663561=x
~4.90
Area of the square=side x side
4.90x4.90
24.01units²
Solve the equation. Where necessary, indicate when the equation has no solution or is an identity.
5(2X + 8) - 5x = 5(5x + 6)
Answer:
x=0.5
Step-by-step explanation:
10x-40-5x=2x+30
5x+10=25x
10=20x
x=0.5
Graph the integer 3 and its opposite on a number line.
try it, let's see can u do or not
Answer:
Step-by-step explanation:
From the given trapezium, the following can be observed:
i. trapezium ABCD
ii. AB || DC
iii. EF || AB
iv. EF || DC
Let AD ≅ BC, then:
AD = AE + ED
BC = BF + FC
So that with the condition that;
AE ≅ BF
and
ED ≅ CF
So then;
AE:ED ≅ BF:FC
Which implies that;
[tex]\frac{AE}{ED}[/tex] = [tex]\frac{BF}{FC}[/tex]
Polynomial: 2x3 – x2 – 3x + 5; Divisor: x + 3
Answer:
x= 5/2= 2.500
x= -1 - Divisor: -3/2 = -1-(i)Divisor:3/2= 0.5000-0.8660(i)
x= -1+Divisor: -3/2= -1+(i)Divisor:3/2=-0.5000+0.8660(i)
Step-by-step explanation:
STEP
1
:
Equation at the end of step 1
(((2 • (x3)) - 3x2) - 3x) - 5 = 0
STEP
2
:
Equation at the end of step
2
:
((2x3 - 3x2) - 3x) - 5 = 0
STEP
3
:
Checking for a perfect cube
3.1 2x3-3x2-3x-5 is not a perfect cube
Trying to factor by pulling out : 3.2 Factoring: 2x3-3x2-3x-5
Thoughtfully split the expression at hand into groups, each group having two terms :
Group 1: -3x-5
Group 2: -3x2+2x3
Pull out from each group separately :
Group 1: (3x+5) • (-1)
Group 2: (2x-3) • (x2)
Bad news !! Factoring by pulling out fails :
Answer:
2x² + 5x – 18 Remainder 59
Step-by-step explanation:
2x³ – x² – 3x + 5 ÷ x + 3
2x² + 5x – 18
x + 3 √ 2x³ – x² – 3x + 5
– 2x³ – 6x²
0 + 5x² – 3x + 5
– 5x² + 15x
0 – 18x + 5
– –18x –54
0 + 59
2x³ – x² – 3x + 5 ÷ x + 3 = 2x² + 5x – 18 Remainder 59
Battle is making fruit baskets, which include apples and bananas to send to some of her real estate clients. She wants each basket to have at least 12 pieces of fruit but the fruit should weigh no more than 80 ounces total. On average each apple weighs 5 ounces and each banana weighs 7 ounces.
Answer:
there are 2 apples in the basket
there are 10 banana in the basket
Step-by-step explanation:
According to the Question,
We have, Battle is making fruit baskets, which include apples and bananas to send to some of her real estate clients. She wants each basket to have at least 12 pieces of fruit.let x for apple And y for banana So, x+y=12---Equation 1
And, the fruit should weigh no more than 80 ounces total. On average each apple weighs 5 ounces and each banana weighs 7 ounces.Thus, 5x+7y=80 ----Equation 2
Now, (Equation 1) × 5 Subtract with (Equation 2) We get,
2y = 20 ⇒ y=10 (there are 10 banana in basket)
Put value of y=10 in Equation 2 we get5x+70=80 ⇔ x=2(there are 2 apples in basket)
Someone please help me with this math problem? !!
Answer:
x = -1
Step-by-step explanation:
If you input -1 to both functions, you get 3.
find the domain of f(x)=sec(2x)
Answer:
*Refer the image attached
Step-by-step explanation:
*Refer the image attached
Please answer question 14 C at rhe bottom and i will mark u whatever u want
Answer:
3km/h
Step-by-step explanation:
total distance ÷ total time = average speed
6 ÷ 2 = 3
Solve for x. Round to the nearest tenth, if necessary.
Answer:
9.4
Step-by-step explanation:
cos 32° = 8/x
x = 8/ cos 32°
= 8/ 0.8480
= 9.4
The value of the variable 'x' using the cosine formula will be 9.4 units.
What is a right-angle triangle?It's a form of a triangle with one 90-degree angle that follows Pythagoras' theorem and can be solved using the trigonometry function.
Trigonometric functions examine the interaction between the dimensions and angles of a triangular form.
The value of 'x' is given by the cosine of the angle ∠VWU. And the cosine of an angle is the ratio of the base and hypotenuse of the right-angle triangle. Then we have
cos 32° = 8 / x
x = 9.4
The value of the variable 'x' using the cosine formula will be 9.4 units.
More about the right-angle triangle link is given below.
https://brainly.com/question/3770177
#SPJ7
Solve by factorisation.
3x² + 10x - 8 = 0
Answer:
3x²+12x-2x-8. = 0
3x(X+4)-2(X+4) = 0
(x+4)(3x-2) =0
[tex]x = (- 4) \: or \: x = \frac{2}{3} \: are \: the \: solutions[/tex]
0.54,0.45,0.405,0.054 in order smallest first
Answer:
0.054, 0.405, 0.45, 0.54
Answer:
0.054, 0.405, 0.45, 0.54
Step-by-step explanation:
1. The 0 after the decimal point makes it the smallest
2. 405/1000 < 45/100
3. 45/100 < 54/100
Sarah finds herself with 9 different cheeses and 9 different wines. In how many ways can she pair one cheese to one wine
Answer:
She has 9 choices for each different cheese.
For each of these cheeses there are 9 different wines,
So 9 * 9 = 81 and there are
81 possible different choices
How do you graph this ,helppppppppp
you've run 250 ft of cable that has a loss rate of 3.6 dB per 100 ft. what is your total loss?
Answer:
2.5 dB/100 ft
Explanation:
If 5 dB was lost after 200 ft of cable and 100 ft is half of 200 ft, then the rate of loss should be 2.5 dB per 100 ft.
Step-by-step explanation:
The total loss is 9 dB
Since we have 250 ft of cable that has a loss rate of 3.6 dB per 100 ft, we need to find the total loss of the 250 ft of cable.
To find this total loss, we multiply the loss rate by the total length of cable.
So, the total loss for the 250 ft of cable, L = loss rate × length of cable.
Since loss rate = 3.6 dB per 100 ft and the length of cable = 250 ft, substituting the values of the variables into the equation, we have
L = loss rate × length of cable.
L = 3.6 dB/100 ft × 250 ft.
L = 3.6 dB/10 × 25.
L = 3.6 × 25/10 dB
L = 3.6 × 2.5 dB
L = 9 dB
So, the total loss is 9 dB
Learn more about dB loss here:
https://brainly.com/question/21793414
Can someone help me with this math homework please!
Answer:
14
Step-by-step explanation:
7h-5(3h-8)=-72
or, 7h-15h+40=-72
or, 40+72=15h-7h
or, 112=8h
or, h=112/8
therefore,h=14
Answer:
Step-by-step explanation:
Dorothy earned 840 last week for working 35 hours.is she works 40 hours,how much will she make
Answer:
960$
Step-by-step explanation:
First you want to find out how much money she makes per hour by doing 840/35. That equals 24, so now you multiply it by the amount of hours for this week. 24*40= 960$.
Hope this helps :D
Solve the equation to find a positive value of c: 3^2 + 4^2 = c^2
Answer:
The answer is c=5,-5
I really need help, pls help. :)
Which properties justify the steps taken to solve the system?
{2x−4y=−63x+2y=−1
Drag and drop the answers into the boxes to match each step.
Answer:
Step-by-step explanation:
1). 6x - 12y = -18
6x + 4y = -2
Multiplication property of equality.
2). -16y = -16
Substitution property of equality.
3). y = 1
Division property of equality.
4). 2x - 4(1) = -6
Substitution property of equality.
5). 2x - 4 = -6
Simplify.
6). 2x = -2
Addition property of equality
7). x = -1
Division property of equality
Which of the following is NOT written in scientific notation?
a. 3.5X10^-2
b. 21.2X10^3
c. 1.4X10^5
d. 9.9432X10^-4
How many solutions does the following system have?
4x – 2y = 6
2x - y = 3
a. One
b. Infinitely many
c. Two
d. None
Helppp :( please and thank u
Answer:
b.
b.
Step-by-step explanation:
scientific notation should have one positive in front of the decimal point, then any number (>=1) of positions after the decimal point, followed by the multiplication with the property power of 10.
the only number not following that rule is b (2 positions in front of the decimal point).
4x - 2y = 6
2x - y = 3
are the same line, as we can multiply the second equation by 2 and get exactly equation 1.
so, both lines have the same slope and the same y-intercept. therefore, they have infinitely many solutions.
Solve for x. Round to the nearest tenth of a degree, if necessary
Answer:
29.4 is the correct answer, it's rounded up so that you don't have to accidentally get it wrong like I did, lol
Step-by-step explanation:
A store purchased a plasma screen TV and marked it up 95% from the original cost of $876.08. A week later, the
store placed the TV on sale for 70% off. What was the discount price?
Answer:
95%-70%=15%
$876.08×15% =$131.412
Answer:
512.51
Step-by-step explanation:
Hope this helps! :)
find the missing lengths in the triangle. round to the nearest tenth if necessary
Answer:
[tex]x=8,\\y\approx 6.9[/tex]
Step-by-step explanation:
The side lengths of all 30-60-90 triangles are in ratio [tex]x:x\sqrt{3}:2x}[/tex], where [tex]2x[/tex] is the hypotenuse of the triangle and [tex]x[/tex] is the side opposite to the 30 degree angle.
In the given diagram, the side labelled 4 is opposite to the 30 degree angle. Since [tex]x[/tex] is labelled as the hypotenuse of the triangle, [tex]x[/tex] must be [tex]4\cdot 2=\boxed{8}[/tex].
Variable [tex]y[/tex] must then represent [tex]x\sqrt{3}[/tex] for [tex]x=4[/tex], yielding [tex]y=4\sqrt{3}\approx \boxed{6.9}[/tex]