Answer:5.3
Step-by-step explanation:
Why
Divide both sides by 8
4=8e ^-0.1308t
0.5=e^-0.1308t
Take log of both sides
In0.5=Ine^-0.1308t
Apply In e^x=x
In0.5=-0.1308
Divide both sides by -0.1308 to solve for t
t=5.3
What is the value of y in y = 2x - 5, when x = 3.9?
Answer:
Y = -3 and with x as 3.9 y equals 2.8
Step-by-step explanation:
Can someone tel me if the answers are correct ? Please
Answer:
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Two numbers have a sum of 18. Their product is 72. Find the numbers
Answer:
Step-by-step explanation:
x + y = 18
y = 18 - x
xy = 72
x(18 - x) = 72
-x² + 18x = 72
0 = 72 - 18x + x²
x = (18 ± √(18² - 4(1)(72))) / (2(1))
x = (18 ± 6)/2
x = 12
x = 6
A bag of sugar weighs 6²/⁵. What is the weight of 6¹/⁴ of such bag?
How many two thirds are there in 4¹/³?
Answer:
6 and a half 2 thirds are in 4 1/3
Step-by-step explanation:
2/3x=13/3
2x=13
x=6.5
what is the equation of the line that is perpendicular to y=-1/4x-2 and goes through the point (-2,-3)
Step-by-step explanation:
y=-1/4x-2
1/4x+y+2=0.........1
line perpendicular to eqn 1 is
x-1/4y+k=0
as the line passes through the (-2,-3)
-2-1/4×-3+k=0
-1+4k=0
K=1/4
the eqn is 4x-y+1=0
Can someone check my work?
Answer:
See below:
Step-by-step explanation:
Hello! My name is Galaxy and I will be helping you today!
We can check your answer in 1 step.
We need to find how much they earn if they worked 37 hours at a rate of 26 dollars per hour.
We can mutliply to figure this out:
[tex]37*26=962[/tex]
Therefore, yes, your answer is correct!
Cheers!
Answer:
$26=1hr
x =37hr
$26 x 37=$ 962
Step-by-step explanation:
What is 11 divided by 1/4
For the two numbers listed, find two factors of the first number such that their product is the first number and their sum is the second number -12,-1
If $2,940.00 is invested for 4 months at 3.8% simple interest:
What is the amount of interest earned?
Answer:
I = $372.40
Step-by-step explanation:
Given the principal amount of $2,940, which is invested for 4 months at 3.8% interest rate:
Use the following simple interest formula to solve for the interest earned:
I = P × r × t
where:
I = interest earned
P = principal amount invested = $2,940
r = interest rate = 3.8% or 0.380
t = time = 4/12 months = ⅓ or 0.3333
Substitute to given values into the simple interest formula:
I = P × r × t
I = $2,940 × 0.380 × 0.3333
I = $372.40
Therefore, the simple interest earned in 4 months is $372.40.
Find the additive inverse and the multiplicative inverse, if it exists, of the given number. 5 in modulo 8 arithmetic
The additive inverse of 5 modulo 8 is the number a such that
5 + a ≡ 0 (mod 8)
Then
a ≡ -5 ≡ -5 + 8 ≡ 3 (mod 8)
The multiplicative inverse is m such that
5m ≡ 1 (mod 8)
Use the Euclidean algorithm:
8 = 1•5 + 3
5 = 1•3 + 2
3 = 1•2 + 1
Then
1 = 3 - 1•2
1 = 3 - 1•(5 - 1•3) = 2•3 - 1•5
1 = 2•(8 - 1•5) - 1•5 = 2•8 - 3•5
and so
1 ≡ 2•8 - 3•5 ≡ (-3)•5 (mod 8)
which means the inverse of 5 is
-3 ≡ 8 - 3 ≡ 5 (mod 8)
Which is an x-intercept of the graph of the
Answer:
(5π/8, 0)
Step-by-step explanation:
x intercept occurs when y = 0
0 = tan(x - 5π/8)
as tan0 = 0
x - 5π/8 = 0
x = 5π/8
5) Placido pulls a rope attached to a wagon through a pulley at a rate of q m/s. With dimension as in Figure 5:
(a) Find a formula for the speed of the wagon in terms of q and the variable x in the figure.
(b) Find the speed of the wagon when x=0.6 if q=0.5 m/s.
The formula for the speed of the wagon can be found by using Pythagoras theorem, and chain rule of differentiation.
[tex](a) \ \mathrm{The \ speed \ of \ the \ wagon} , \ \dfrac{dx}{dt} = q -\dfrac{x}{\sqrt{x^2+ 5.76}}[/tex]
(b) When x = 0.6 and q = 0.5 m/s, the speed of the wagon is approximately 0.243 m/s.
Reasons:
(a) The distance from the cart to the pulley, r is given by Pythagoras's
theorem as follows;
r = √((3 - 0.6)² + x²) = √(2.4² + x²)
The speed of the wagon = [tex]\mathbf{\dfrac{dx}{dt}}[/tex]
The speed of the rope, q = [tex]\mathbf{\dfrac{dr}{dt}}[/tex]
By chain rule, we have;
[tex]\dfrac{dr}{dt} = \mathbf{\dfrac{dr}{dx} + \dfrac{dx}{dt}}[/tex]
[tex]\dfrac{dr}{dx} = \dfrac{x}{\sqrt{x^2+ 5.76}}[/tex]
Therefore;
[tex]\dfrac{dr}{dt} = q =\dfrac{x}{\sqrt{x^2+ 5.76}}+ \dfrac{dx}{dt}[/tex]
[tex]\mathrm{The \ speed \ of \ the \ wagon} , \ \dfrac{dx}{dt} = \underline{ q -\dfrac{x}{\sqrt{x^2+ 5.76}}}[/tex]
(b) The speed of the wagon when x = 0.6 if q = 0.5 m/s is given as follows;
[tex]\dfrac{dx}{dt} = 0.5 -\dfrac{0.6}{\sqrt{0.6^2+ 5.76}} =\sqrt{\dfrac{1}{17} } \approx 0.243[/tex]
The speed of the wagon when x = 0.6 and q = 0.5 m/s, [tex]\dfrac{dx}{dt}[/tex] ≈ 0.243 m/s
Learn more here:
https://brainly.com/question/17081984
Find the exact value of the expression below
Sec 30degrees Cos 30degrees - tan 60degrees cot 60degrees
Answer:
0
Step-by-step explanation:
1×2÷√(3)×√(3)÷2 - √(3)×1÷√(3)
1-1
0
for more refer to the image
9.2 less than 3 times a number is the same as 21 1/4
Answer:
10.15
Step-by-step explanation:
3x-9.2 = 21.25
3x = 30.45
x = 10.15
Answer:
10.15
Step-by-step explanation:
I took the K12 test
The low temperature on a certain day is 56°F. The low temperature is 14°F lower than the high temperature, h. Which equation can be used to find the high temperature for that day? o 56 = h – 14 Oh + 56 = 14 O 56 = 14h 0 56 = h + 14 WHOEVER ANSWER GETS BRAINLESS NEED HELP
Answer: 1.09
Step-by-step explanation:
Solve the equation for x:
x2 = 196
Answer: x= 1/196
Step-by-step explanation:
$200 is shared between Bill and Ann. Ann’s share is $50 more than Bill’s share. Calculate the size of each of their shares.
First subtract the difference between the two:
200 - 50 = 150
Now divide that by 2:
150/2 = 75
Bills share is $75
Now add the $50 to 75 to get Ann's share:
75 + 50 = $125
Ann's share is $125
Bill's share is $75
Two of the angles in a triangle measure 58 degrees and 25 degrees. What must be the measure of the third angle?
97 degrees
add up the two and subtract by 180
Tom is reviewing his cell phone bill. When he gets to the text message part he notices that he send 1 text message in October,7 text messages in November, 49 messages in December,and 343 text messages in January. what kind of sequence is this?
a. arithmetic b. geometric c. both d. neither
Answer:
it is c. both i guess anyways thanks
i hope you passed and sorry for taking your points
Step-by-step explanation:
find measurement 1 and 4
Answer:
the info they gave us is to suppose that angle 6 is = 126°
step 1:
We know that angle 8 = angle 6 = 126°
Why? — when a circle (360°) is split by 2 lines that intersect, there will be 2 equal pairs of angles formed
step 2:
angle 2 = angle 8 = 126°
Why? — they’re alternate angles
step 3:
angle 4 = angle 2
Why? — when a circle (360°) is split by 2 lines that intersect, there will be 2 equal pairs of angles formed
step 4:
angle 1 = 180-126 (angle 4) = 54°
Why? — total angles in a straight line = 180°
Key Term:
Alternate angles:
Alternate angles are angles that occur on opposite sides of the transversal line and have the same size. Alternate angles are equal: We can often spot interior alternate angles by drawing a Z shape: There are two different types of alternate angles, alternate interior angles and alternate exterior angles.
Suppose that the radius of a sphere is divided by 9. What happens with the surface area?
Answer:
Rad/9
Step-by-step explanation:
What is the perimeter of a rectangle with a length of 11.25 inches and a
width of 8 inches?
Answer:
38.5 in
Step-by-step explanation:
11.25 in + 11.25 in + 8 in + 8 in
= 38.5 in
PLEASE HELP GIVING BRAINLIEST
Answer:
A.10,4
B.5,10
C.5,5
D4,4
Step-by-step explanation:
KERE ON LERNER?
2x+3-3=-6
x=3 ? Solve
[tex]2(x)+3-3=-6\\2(3)+3-3=-6\\6+3-3=-6\\6=-6\\[/tex]
[tex]x\neq 3[/tex]
As we can see, x cannot be equal to 3 as 6 cannot equal -6.
I hope I've helped! :)
Which choice is equivalent to the expression below?
5 SQR7-4x SQR7-xSQR7
A. 0
B.-2xSQR7
C.-X^2
D. 5 SQR 7 -5xSQR7
I think is the B, tell me if it's correct OK i'm trying to help
Answer:
5√7-5x√7
Step-by-step explanation:
simplify
21m^2−122m+112/9m^2−196
Answer:
3m-8/7m+14
Step-by-step explanation:
HELP i need what is 4 divided by 120000 telll me plz in tried the calculator but my parents blocked the calculator on me so plz help me
Which distance formula or formulas show(s) a joint variation?
Answer:
II and III only
Step-by-step explanation:
One variable quantity is said to vary jointly as a number of other variable quantities, when it varies directly as their product.
how many ten thousand are in 1,000,000?
Answer:
100
Step-by-step explanation:
10,000 * 100 = 1,000,000
So there are 100 ten thousands in 1,000,000
sara buys two bags of chips and three boxes of pretzels for $ 85. He then buys another bag of chips and two more boxes of pretzels for $ 50. Find the cost of each bag of chips and each box of pretzels.
Answer:
Chips= $20 Pretzel=$15
Step-by-step explanation:
Sara bought 2 Chips + 3 Pretzels = $85
(Extra) 1 Chips + 2 Pretzels = $50
Pretzels are twice as much as chips so above ^^ Can be expressed
as Pretzel (15) + Pretzel (15) + Chips(20) = $50
Now lets go back to the first line Putting in the new prices
Chips(20) + Chips(20) + Pretzel(15) + Pretzel(15) = Pretzel(15) = $85