9 × 13ˣ = 9 × exp(ln(13ˣ ))
… = 9 × exp(x ln(13))
… = A₀ × exp(kx)
so that
A₀ = 9
k = ln(13)
Start time: 7:41 P.M.
Elapsed time:
End time: 8:50 P.M.
Answer:
Elapsed time: 1 hour and 9 minutes
Step-by-step explanation:
7:41 - 8:41 = 1 hour
8:41 - 8:50 = 9 minutes
1 hour and 9 minutes
Hope that helps!
Given the definitions of f(c) and g(x) below, find the value of g(f(5)).
f(x) = 2x – 10
g(x) = x2 + 6x – 8
Answer:
gf(5) = -8
Step-by-step explanation:
gf(x) = g(x^-1) = x^2 + 6x - 8
f(x) = 2x - 10
gf(x) = 6(2x - 10) - 8
gf(x) = 12x - 60 - 8
gf(x) = 12x - 68
gf(5) = gf(x) = 12x - 68
gf(5) = 12(5) - 68
gf(5) = 60 - 68
gf(5) = -8
Hellohello, if you able to help me then please do. (:
which graph shows the solution to the system of equations?y =-2x+1 and y =-3/2
Answer:
(1.25, -1.5)
Step-by-step explanation:
The system of equations:
y = -2x + 1
y = -3/2
So we know that the two lines meet at the point where y = -3/2 = -1.5
∴ -1.5 = - 2x + 1
2x = 1 + 1.5 = 2.5
x = 2.5 ÷ 2 = 1.25
So the solution to this system of equation (or where the two lines meet) is the point (1.25, -1.5)
The total of your bill at the restaurant is $42.50.You want to leave a 10%tip. What is the amount of money you would leave for the tip. Brainly
Explanation is in the file
tinyurl.com/wpazsebu
Please help! 30 points!
Use the Law of Cosines to solve the problem.
A ship travels due west for 83 miles. It then travels in a northwest direction for 111 miles and ends up 165 miles from its original position. To the nearest tenth of a degree, how many degrees north of west did it turn when it changed direction? Show your work.
Answer: [tex]64.2^{\circ}[/tex]
Step-by-step explanation:
According to the cosine rule
[tex]\cos C=\dfrac{a^2+b^2-c^2}{2ab}[/tex]
Here, [tex]a=83, b=111, c=165,\ C=180^{\circ}-\theta[/tex]
Putting values
[tex]\Rightarrow \cos (180^{\circ}-\theta)=\dfrac{83^2+111^2-165^2}{2\times 83\times 111}\\\\\Rightarrow \cos(180^{\circ}-\theta)=\dfrac{6889+12321-27225}{18426}\\\\\Rightarrow \cos(180^{\circ}-\theta)=\dfrac{-8015}{18426}=-0.4349\\\\\Rightarrow 180^{\circ}-\theta=\cos^{-1}(-0.4349)=115.77^{\circ}\\\Rightarrow \theta=64.23\approx 64.2^{\circ}[/tex]
So, the ship turns by [tex]64.2^{\circ}[/tex] north of west
The ship turned an at angle of 64.2 degrees north of west
Represent the angle, the ship turned due north of west with theta.
From the figure, we have the following equation
[tex]\cos(A) = \frac{b^2 + c^2 - a^2}{2bc}[/tex]
So, we have:
[tex]\cos(A) = \frac{83^2 + 111^2 - 165^2}{2 * 83 *111}[/tex]
Evaluate the expression on the right-hand side
[tex]\cos(A) = -0.4350[/tex]
Take the arc cos of both sides
[tex]A = \cos^{-1}(0.4350)[/tex]
[tex]A =115.8^o[/tex]
The value of theta is then calculated as:
[tex]\theta = 180 -A[/tex]
This gives
[tex]\theta = 180 -115.8^o[/tex]
[tex]\theta = 64.2^o[/tex]
Hence, the ship turned an at angle of 64.2 degrees north of west
Read more about bearing and elevation at
https://brainly.com/question/19594654
find 5 rational numbers between 1 and 2
Answer:
Five rational numbers between 1 and 2 are 11/10, 12/10, 13/10, 14/10, and 15/10.
Answer:
Five rational numbers between 1 and 2 are 11/10, 12/10, 13/10, 14/10, and 15/10.
Step-by-step explanation:
Hope this helps!
Please help me i don't have that much time
Answer:
D) 128
Step-by-step explanation:
4(0.5)^-5
4(32)
128
factorise p-q-x(q-p)
Answer:
(1 + x)(p - q)
Step-by-step explanation:
Given
p - q - x(q - p) ← distribute parenthesis by - x
= p - q - qx + px ← rearrange terms in p and terms in q
= p + px - q - qx ( factor first/second terms and third/fourth terms )
= p(1 + x) - q(1 + x) ← factor out (1 + x) from each term
= (1 + x)(p - q)
Help this is the question pls help I need your help answer correctly
23 pts
Answer:
[tex]3/8* 16 \\3*2\\6[/tex]
Step-by-step explanation:
Thus the mileage of water for this vehicle is 6 miles per gallon.
Use the Distributive Property to write an expression equivalent to 4(5x + 11)
[tex]\huge\text{Hey there!}[/tex]
[tex]\large\text{If you’re doing the DISTRIBUTIVE PROPERTY... all you have to}\\\large\text{MULTIPLY 4 within your PARENTHESES.}[/tex]
[tex]\large\text{}[/tex][tex]\large\text{4(5x) + 4(11)}[/tex]
[tex]\large\text{4(5x) = 20x}[/tex]
[tex]\large\text{4(11) = 44}[/tex]
[tex]\large\text{\bf = 20x + 44 }[/tex]
[tex]\boxed{\boxed{\large\text{Answer: \huge \bf 20x + 44}}}\huge\checkmark[/tex]
[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:}[/tex]
[tex]\large\text{Your GUIDE}\downarrow[/tex]
[tex]\textsf{Distributive formula}[/tex]
[tex]\textsf{a(b + c)}[/tex]
[tex]\textsf{a(b) + a(c)}[/tex]
[tex]\textsf{= ab + ac}[/tex]
I need help ASAP please
Answer:
It's actually B
Step-by-step explanation:
The measures of the sides are x , x , and x√2 . In a 45°−45°−90° triangle, the length of the hypotenuse is √2 times the length of a leg. To see why this is so, note that by the Converse of the Pythagorean Theorem , these values make the triangle a right triangle.
So x = 4 in this example and the side measures would be 4, 4, and 4√2 which is B
The rectangle below has an area of 70 square meters. Find the dimensions of the rectangle. (x - 11) (x - 8)
Answer:
the dimensions of the rectangle are 10 and 7.
Step-by-step explanation:
Given;
area of the rectangle, A = 70 m²
dimensions of the rectangle, = x - 11 and x - 8
The area of rectangle is calculated as;
A = L x B
70 = (x - 11)(x - 8)
70 = x² - 8x - 11x + 88
0 = x² - 8x - 11x + 88 - 70
0 = x² - 19x + 18
0 = x² - x - 18x + 18
0 = x(x - 1) -18(x - 1)
0 = (x - 18)(x - 1)
0 = x - 18 or
0 = x - 1
x = 18 or 1
The dimensions of the rectangle are calculated as;
L = 18 - 11 = 7
B = 18 - 8 = 10
Therefore, the dimensions of the rectangle are 10 and 7.
Problem PLS HELP MY GRADES GOING DOWN
Answer:
$248
Step-by-step explanation:
given:
4 deposits
$62
solve:
4 × $62= $248
Answer:
$248
Step-by-step explanation:
You can answer it two ways:
1) add 62 + 62 + 62 + 62 = 248
2) multiply 4 * 62 = 248
Answer: $248
Fidel has a rare coin worth $550. Each decade, the coin's value increases by %10
Which kind of function best models the relationship between time and the coin's value?
Answer: Exponential
Step-by-step explanation: I did it in khan
Write a fraction for each percent.
75% of 96
Answer:
72/96
Step-by-step explanation:
14 cm
12 cm
22 cm
Find the area of the trapezoid. and show Work
A. 108 cm
B. 432 cm
C. 60 cm
D. 216 cm
Answer:
D. 216 cm
Step-by-step explanation:
1. I assume 14 is a 22 is b and 12 is h
2. Trapezoid Area Formula
[tex]A = \frac{1}{2}(a+b)h[/tex]
3. Plug in numbers
[tex]A = \frac{1}{2}(14+22)12[/tex]
[tex]216 = \frac{1}{2}(14+22)12[/tex]
(10*2)*3=( )* ( ) * ( )
=
=
Answer:
c= 10 d=2 e=10 f=2 g= 10 h= 6 k=1
Step-by-step explanation:
I am not sure about the g, h and k though.
but cube root means the number thrice.
I hope it helps.
Alright fam, help me out here with these angles thanks!
Answer:
m∠3 = 127°
Step-by-step explanation:
From the given picture,
Two parallel lines have been given.
Angle 3 and another angle measuring 53° are located on a point of a straight line.
Therefore, both the angles will be supplementary.
m(∠3) + 53° = 180° [Property of supplementary angles]
m(∠3) = 180° - 53°
= 127°
What percent of 54 is 28?
Answer:
51.85
Step-by-step explanation:
hope this helps lol
51.85
Percentage Calculator: 28 is what percent of 54? = 51.85.
please hurry if answer is correct i will give brainlyyyyest thx
In this task, you will calculate the area of a complicated shape by splitting it into simpler shapes. Cut out shape C. Shape C is not a regular shape, so you cannot directly apply a formula to find its area. Split shape C into simpler shapes whose areas you can find by applying formulas. List the simple shapes into which you divided shape C, and measure their sides. Write all the measurements in inches.
Answer:
i could only get part one done
Step-by-step explanation:
Perimeter is a measurement of the distance around a shape and area gives us an idea. Understanding how much space you have and learning how to fit shapes ... If the shape is a polygon, then you can add up all the lengths of the sides to find the perimeter. ... You can write “in2” for square inches and “ft2” for square feet
PLZ HELP IF CORRECT ILL GIVE U BRAINLIEST
Answer:
32.25
Step-by-step explanation:
What is the best first step to solve the following quadratic equation?
16x2 + 38 = -40x
A
Add 40x to both sides.
B
Factor the right side.
C
Take the square root of both sides.
D
Multiply 16 by 38 and list the factors.
Answer:
a
Step-by-step explanation:
A which is add 40x to both sides wich is A
Here are the score that Jenna has received on her seven quizzes 16 11 20 16 12 17 18 what is the lower quadrille
Answer:
12
Step-by-step explanation:
lower quartile is the median of 11, 12, and 16
I -9I = ____
HELP HELP ME ME ASAP PLEASE
Answer:
9
Step-by-step explanation:
l l means absolute value
the absolute value of any negative number is the same number but positive
so the absolute value of -9 is positive 9
Answer:
9
Step-by-step explanation:
Absolute value (or the lines) makes everything inside of it positive, so |-9| = 9
The Adams family bought a small piece of land in the hill country. The plot is in the shape of a rectangle and measures about 50 yards by 41 yards. What is the area of the plot?
Given:
The dimensions of a rectangular plot are 50 yards by 41 yards.
To find:
The area of the plot.
Solution:
We know that, the area of a rectangle is
[tex]Area=Length\times width[/tex]
So, the area of the rectangular plot is:
[tex]Area=50\times 41[/tex]
[tex]Area=2050[/tex]
Therefore, the area of the rectangular plot is 2050 square yards.
A certain pipe can be used to fill a pool with water in 2 hours. A second pipe can be used to fill the pool in 4 hours. How long does it take to fill the pool when both pipes are used at the same time?
Answer:
1 1/3 hours
Step-by-step explanation:
Pipe 1 alone:
fills the pool in 2 hours
in 1 hour, it fills 1/2 of the pool
Pipe 2 alone:
fills the pool in 4 hours
in 1 hour, it fills 1/4 of the pool
Pipe 1 and Pipe 2 working together:
fill the pool in x hours
in 1 hour, they fill 1/x of the pool
Working together, in 1 hour the two pipes fill 1/2 + 1/4 of the pool.
Working together, in 1 hour the two pipes fill 1/x of the pool.
Therefore,
1/2 + 1/4 = 1/x
2/4 + 1/4 = 1/x
3/4 = 1/x
x = 4/3
x = 1 1/3
Answer: 1 1/3 hours
Given the two equations:
y + x = 5
-2x = -1
0) Draw the graphs of both equations on the same pair of axes by using a scale of 1cm to
represent 1 unit on both axes.
Use your graph to determine the point of intersection.
Answer:
Step-by-step explanation:
I can draw graphs on the application
eq1) is a line through y = 5 with a negative slope of -1 y = -x + 5
eq2) is a vertical line at x = 1/2 NO y intercept or slope
-2x = -1 ---> x = -1/-2 = 1/2
They intersect at
y = -x + 5 and x = 1/2 Substitute x=1/2 into
y = -1/2 + 5
y = 4.5
intersect at (1/2, 4.5)
can someone please help me with this? (i will mark brainliest) (LMNP is rotated 180 degrees clockwise around the origin. what are the coordinates of L?)
Answer:
L's coordinates would go from being (x,y) to (-x, -y)
Step-by-step explanation:
So like, if L's coordinates were (5, 7) after rotation it would be (-5, -7)
If you were working backward and with L' being rotated you would do (-5, -7) change the sign and do (5,7) for L
Consenquently if you had a negative to begin with- L (-3, -4) L' would be the opposite sign and be (3,4)
Please answer asap
no work needed :)
Answer:
2x+12 simplified is x+4