Answers
Answer:
The value of a is e³ and b is e.
The steps are :
First, you have to integrate the expression shown in the first picture.
Next, you have to solve it as simultaneous equation shown in the second picture.
You have to apply :
[tex] ln(b) - ln(a) = ln( \frac{b}{a} ) [/tex]
[tex] ln(y) = x \: ⇒ \: {e}^{x} = y[/tex]
Related Questions
Which function would represent the absolute value function that is equivalent to this piecewise function?
Answers
Answer:
5|x+2|-1
Step-by-step explanation:
Evidence is included
These dot plots show the ages (in years) for a sample of sea turtles and a
sample of koi fish.
Age (in years)
What are the differences between the centers and spreads of these
distributions?
Select two choices: one for the centers and one for the spreads.
a A. Centers: The sea turtles have a lower median age than the koi.
3. B. Centers: The sea turtles have a greater median age than the koi.
c. Spreads: The ages of the sea turtles are more spread out.
D D. Spreads: The ages of the koi are more spread out.
Answers
*see attachment below for the dot plots that completes the question.
Answer:
B. Centers: The sea turtles have a greater median age than the koi.
D. Spreads: The ages of the koi are more spread out.
Step-by-step explanation:
The measure of center that can be used for comparison is the median, while the spread can simply be visualised by mere looking at how spread out the dots on the number line are. The spread of both can also be compared using their range. The greater the range, the more spread a data is.
=>Median Differences:
The median age for turtle = the middle value = 55
The median age for koi = 30
Therefore, sea turtles have a greater median age than the koi.
=>Spread Differences:
Range for turtle = the highest age - the least age represented on the dot plot = 65 - 45 = 20
Range for koi = 55 - 10 = 45
Koi has a greater range value than koi. Therefore, the ages of the koi are more spread out.
Find the points of intersection of the following function graphs: y=14−2.5x and y=1.5x−18 PLEASE HELP ONLY 20 MINS LEFT
Answers
Answer:
This indicates that the point of intersection is: (8,-6)
Step-by-step explanation:
The intersection of two lines is the point where they intersect. The point where the line crosses the x axis is called [x-intercept]. The point [y-intercept] is where the line crosses the y-axis.
The point of intersection is calculated by equating their equations. By solving the resulting equation, the coordinates of the cut point are obtained.
In this case you have y=14−2.5x and y=1.5x−18
Equating the equations you get:
14-2.5x=1.5x-18
Solving:
14+18=1.5x+2.5x
32=4x
32÷4=x
x=8
Replacing in both equations: y=14-2.5*8=-6
y=1.5*8-18=-6
This indicates that the point of intersection is: (8,-6)
The intersection point can be seen graphically, representing both lines, as shown in the attached image, where the red line is y = 14−2.5x and the blue line represents y =1.5x-18
Which statements about this system of equations are true? Check all that apply 2 x minus 7 y = negative 13. Negative 2 x + 11 y = 1. The x-variable will be eliminated when adding the system of equations. The y-variable will be eliminated when adding the system of equations. The sum of the system of equations is 4 y = negative 12. x = 17 y = negative 3 There are infinitely many solutions to the system of equations.
Answers
Answer:
1 and 3.
Step-by-step explanation:
The given system of equations
[tex]2x-7y=-13[/tex] ...(1)
[tex]-2x+11y=1[/tex] ... (2)
Here, coefficients of x have same values with opposite signs.
The x-variable will be eliminated when adding the system of equations.
Add (1) and (2), we get
[tex]2x-7y-2x+11y=-13+1[/tex]
[tex]4y=-12[/tex]
Divide both sides by 4.
[tex]y=-3[/tex]
Put y=-3 in (1).
[tex]2x-7(-3)=-13[/tex]
[tex]2x+21=-13[/tex]
[tex]2x=-13-21[/tex]
[tex]2x=-34[/tex]
Divide both sides by 2.
[tex]x=-17[/tex]
So, the given system of equations have unique solution, i.e., (-17,-3).
Therefore, the correct options are 1 and 3.
At the grocery store, you can purchase lemons at 2 for $0.99. you can also buy a bag of 6 lemons for $2.50. Which is the better buy?
Answers
Answer:
The 6 lemons for 2.50 is the better deal.
Step-by-step explanation:
2*3=6
3*0.99=2.97
2.97>2.50
PLEASE HURRY! ANSWER ASAP
Which two grids can be combined to get 140%?
Square A) A grid model with 100 squares with 1 square shaded.
Square B) A grid model with 100 squares with 15 squares shaded.
Square C) A grid model with 100 squares with 40 squares shaded.
Square D) A grid model with 100 squares with 100 squares shaded
A and B
A and C
B and D
C and D
Answers
A.
1/100=0.01=1%
B.
15/100=0.15=15%
C.
40/100=0.40=40%
D.
100/100=1=100%
40% + 100% =140%
i hope this helps <3
Mrs. Lobo earns a salary of $50,000 per year plus a 4% commission on her sales. The average price of a share
she sells is $50.
Write an inequality to describe about how many shares Mrs. Lobo must sell to make an annual income of at
least $70,000
Select one:
O a. 50,000 + 2x > 70,000
O b. 50,000 + 2x < 70,000
O c. 50,000 -- 2x > 70,000
d. 50,000 + 2 > 70,000
Answers
Answer:
a) 50,000 + 2x > 70,000
Step-by-step explanation:
Mrs. Lobo has an annual salary of $50000 per year plus 4% commission on her sales.
If she makes $y commission from sales, Mrs Lobo total income per year is:
$50000 + $y.
She makes 4% commission on her sales of share with the average price of a share = $50
Average commission from sales = 4% × $50 = 0.04 × 50 = $2
If she sales x shares in a year, her commission would be $2x for the year. Therefore her total income for that year would be:
50000 + 2x
The amount of shares Mrs Lobbo must sell to make an annual income of at
least $70,000 is given by the inequality:
50,000 + 2x > 70,000
Point A is at (6,-6) and point C is at (-6,-2). Find the coordinates of point B on line AC such that AB= 3/4 AC Urgent, need this immediately. PLS EXPLAIN
Answers
Answer:
[tex]B(x,y) = (-3,0)[/tex]
Step-by-step explanation:
Given
[tex]A = (6,-6)[/tex]
[tex]C = (-6,2)[/tex]
[tex]AB = \frac{3}{4} AC[/tex]
Required
Find coordinates of B
First, we need to convert [tex]AB = \frac{3}{4} AC[/tex] to ratio [tex]AB:BC[/tex]
SInce [tex]AB = \frac{3}{4} AC[/tex], then
[tex]AB : BC = 3 : 4 - 3[/tex]
[tex]AB : BC = 3 : 1[/tex]
The coordinates of B can then be calculated as follows;
[tex]B(x,y) = (\frac{nx_1 + mx_2}{n + m},\frac{ny_1 + my_2}{n + m})[/tex]
Where
[tex]A(x_1,y_1) = A(6,-6)[/tex]
[tex]C(x_2,y_2) = A(-6,2)[/tex]
[tex]m:n = 3 : 1[/tex]
Substitute these values in the given formula;
[tex]B(x,y) = (\frac{1 * 6 + 3 * -6}{1 + 3},\frac{1 * -6 + 3 * 2}{1 + 3})[/tex]
[tex]B(x,y) = (\frac{6 -18}{4},\frac{-6 + 6}{4})[/tex]
[tex]B(x,y) = (\frac{-12}{4},\frac{0}{4})[/tex]
[tex]B(x,y) = (-3,0)[/tex]
Hence, the coordinates of B is [tex](-3,0)[/tex]
Which of the following is most likely the next step in the series?
Answers
Answer:
C.
Step-by-step explanation:
Well if 1 is blue and 2 is tan and 3 is blue and across from 1.
Then 4 will be tan because it is across from 2 which is tan.
C.
Answer:
C
Step-by-step explanation:
It goes blue, blue pink, blue pink blue, so according to the pattern the next would be pink.
p.s. thank you so much for all the points!!!!! Like the other answer said brainliest is always appreciated. Here I am, question #2. You can award it to them now 8-D
Please answer both questions
Answers
Answer:
36 and 24
Step-by-step explanation:
Answer:
Part a : 20 units², Part d : 12 units²
Step-by-step explanation:
We are given that the side lengths of each square is 6 units. In this case we can calculate the area of the triangles, subtracting from the area of the outer square, such that we calculate the remaining, area of the shaded region / inscribed square.
Area of Outer Square ( Same in all Cases ) = 6 [tex]*[/tex] 6 = 36 units²,
Area of Common Triangles ( 4 Triangles ) = 1 / 2 [tex]*[/tex] Base [tex]*[/tex] Height = 1 / 2 [tex]*[/tex] 2 [tex]*[/tex] ( 6 - 2 ) = 1 / 2 [tex]*[/tex] 2 [tex]*[/tex] 4 = 4,
4 [tex]*[/tex] 4 = 16 units²
Area of inscribed Square = 36 units² - 16 units² = 20 units²
For this second case the inscribed shape is not a square, but it can be calculated through a similar approach,
Area of Outer Square ( Same in all Cases ) = 6 [tex]*[/tex] 6 = 36 units²,
Area of Common Triangles ( 2 Triangles ) = 1 / 2 [tex]*[/tex] Base [tex]*[/tex] Height = 1 / 2 [tex]*[/tex] 4 [tex]*[/tex] 6 = 2 [tex]*[/tex] 6 = 12,
12 [tex]*[/tex] 2 = 24 units²
Area of inscribed shape = 36 units² - 24 units² = 12 units²
Can someone help with this.... thanks!
Answers
Answer:
3244.5
Step-by-step explanation:
LxW=A
The total cost f(x), in dollars, for renting a car for a day and driving it x miles is shown: f(x) = 90 + 0.11x What does f(30) represent?
Answers
Answer:
f(30) represents the total cost when the car is driven 30 miles
Step-by-step explanation:
f(30) is the y value when x= 30
Since x represents miles, f(30) is the y value of the function when you drive a car 30 miles, basically how much it will cost.
We solve this by plugging 30 in for x:
f(30)= 90 + 0.11(30)
f(30)= 90 + 3.3
f(30)= 93.3
Thus, renting a car for a day and driving it 30 miles costs $93.30
The cost to order 2 hamburgers and a milkshake from the menu shown is _____. $4.30 $5.30 $3.55 $5.35
Answers
Answer:
$5.30
Step-by-step explanation:
2 hamburgers = 2 ( 1.75) = 3.50
1 milkshake = 1.80
Add them together
3.50+1.80 = 5.30
Answer:
5.80
Step-by-step explanation:
Given:
Price of hamburger=1.75
"of Hot dog=1.25
"of French fries=0.95
"of Milkshake=1.80
"of Soda pop=0.75
Required:
The cost to order 2 hamburgers and a milkshake from the menu shown=?
Formula:
2(Hamburger)+1(Milkshake)=Cost
Solution:
2(1.75)+1(1.80)=5.30
3.5+1.80=5.30
Hope this helps ;) ❤❤❤
Anton bought a picnic cooler. His total bill, with tax, was $7.95.
He paid 6 percent sales tax. How much did he pay for the cooler
alone without the tax?
Answers
Answer:
$ 7.50
Step-by-step explanation:
The cost of the picnic cooler would be 100%.
With the 6% sales tax, Anton would pay 106% of the cost if the picnic cooler.
(since 100% +6%= 106%)
106%(picnic cooler)= $7.95
Cost of picnic cooler= 100%(picnic cooler).
Cost of picnic cooler
[tex] = \frac{7.95}{106} \times 100 \\ = 7.50[/tex]
Thus, he paid $7.50 for the cooler alone.
confused on this one
1. Assume that m26 = 60°. What must be true about 26 and 23 for the
lines to be parallel? Name the postulate or theorem that you used in
this justification
Answers
Answer:
The other measurement has to be 120 degrees. In other words, the two angles have to add up to 180 degrees. The method for that is same side interior.
Step-by-step explanation:
In same side interior angles, the sum of the two angles has to be 180 degrees. So we know that one of the angles is 60 degrees so we do 180-60=120.
What is -6/7 x (-3/8)
Answers
Answer:
9/28
Step-by-step explanation:
−6/7×−3/8and solve
−6 ×−3 OVER 7×8
=18/56
18÷2 OVER 56÷2=9/28 Therefore:
−6/7×−3/8=9/28
Answer:
[tex] \frac{9}{28} [/tex]Step-by-step explanation:
[tex] - \frac{6}{7 } \times \frac{ - 3}{8} [/tex]
Multiplying two negative equals a positive
[tex]( - ) \times ( - ) = ( + )[/tex]
[tex] \frac{6}{7} \times \frac{3}{8} [/tex]
Reduce the numbers with G.C.F 2
[tex] \frac{3}{7} \times \frac{3}{4} [/tex]
Multiply the fractions
[tex] \frac{3 \times 3}{7 \times 4} [/tex]
[tex] \frac{9}{28} [/tex]
hope this helps...
Good luck on your assignment...
HLP ! HLP ! Please and thank you
Answers
Answer:
Yes, it is an exponential function. The base is 2.
Step-by-step explanation:
As you can see, the function is f(x) = 2^(2x).
Since there is an exponent, the function is exponential. Graphing functions is another way to make sure if it's exponential or not.
The base is 2 because 2x, the exponent, is applied to it.
---
I hope this helps, let me know if you have any questions.
Blue paper chains 4 inches long. Red paper chains are 3 inches long. How many are needed to have 10 inches of paper chains?
Answers
1 blue paper chain and 2 red paper chains
Answer:
1 blue paper chains and 2 red
Step-by-step explanation:
becuase 4 plus 3 plus 3 is 10
What is the value of x in the equation ( x +
({ x + 12) = {(x +
4x + 14) – 3?
-24
-6
2
0
Answers
Answer:
3
Step-by-step explanation:
(x+(×+12)=(×+4×+14)-3
×+×+12=×+4×+14-3
2×+12=5×-2×
+12-11=5×-2×
-1=3×
is the square root of 34 rational or irrational
Answers
Answer:
irrational
Step-by-step explanation:
If a square root is not a perfect square, then it is considered an irrational number.
The square root of the number 34 is not a rational number
How to determine the type of the numberFrom the question, we have the following parameters that can be used in our computation:
The square root of the number 34
When evaluated, we have
The square root of the number 34 = √34
So, we have
The square root of the number 34 = 5.83.....
The above number cannot be represented by the quotient of 2 integers
Using the above as a guide, we have the following:
We can conclude that the number is an irrational number
Read more about rational number at
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6/3x = 3. What is x?
Answers
Steps to solve:
6/3x = 3
~Multiply 3/6 to both sides
x = 3/2
Best of Luck!
Answer:
x = 3/2
Step-by-step explanation:
Hey there!
To solve this equation, let's rewrite it for cohesive purposes. This would result in (6/3)(x) = 3.
Now, we can simplify the fraction because it reduces to a whole number. Three will go into six two times, so 6/3 is equivalent to 2.
This leaves us with 2x = 3.
Now, we need to isolate the x. Because there is a coefficient leading the variable, we can divide the entire term (2x) by 2 as well as dividing the 3 on the righthand side of the equation by 2.
Remember the mathematical rule of thumb: what you do to one side of the equation, you must perform to the other side. Therefore, if we divide by 2 on the left side of the equation, we must also divide the righthand side of the equation by 2.
By performing this step, it leaves us with x = 1.5.
[tex]{\frac{2x}{2}=\frac{3}{2}}\\\\\bold{x = \frac{3}{2}}[/tex]
We can reduce [tex]\frac{3}{2}[/tex] to a decimal, which transfers to 1.5. However, it's best to leave the answer in fractional form. This leaves our final answer as [tex]\bold{x=\frac{3}{2}}[/tex].
If y varies jointly with x and y=5 when x=15 and z=24 find y when x=6 and z=14
Answers
Answer:
if they vary together then y would be 2
Step-by-step explanation:
since they vary together 5 multiplied by 3 is 15 so you would divide 6 by 3 to get 2 the z is irrelevant because it has no relation to x or y
Find m∠CBD,,,,,,,,,,
Answers
Answer:
angle CBD=125
Step-by-step explanation:
(8x-41)+(9x+17)=180
17x -24 = 180
17x=204
x=12
9(12)+17=125
Answer:
125
Step-by-step explanation:
The two angles from a straight line so they add to 180
ABC + CBD = 180
8x -41+ 9x+17 = 180
Combine like terms
17x -24 = 180
Add 24 to each side
17x -24+24 = 180 +24
17x = 204
Divide by 17
17x/17 = 204/17
x =12
We want angle CBD
CBD = 9x+17
= 9*12+17
=108+17
= 125
Hello!! I Need HElp ASAP PLEAASSEE
The line of symmetry of the parabola whose equation is y = ax2 - 4x + 3 is x = -2. What is the value of "a"?
-2
- 1/2
-1
Answers
Answer:
a = -1
Step-by-step explanation:
The line of symmetry for the parabola given by ...
y = ax² +bx +c
is
x = -b/(2a)
Using the given values, we have ...
-2 = -(-4)/(2a)
Multiplying by -a/2, we get ...
a = (4/2)(-1/2) = -1
The value of "a" is -1.
The endpoints of a line segment can be represented on a coordinate grid by the points
A(-4, 1) and ((-4, -3). Graph and label each of the endpoints of the line segment on
the coordinate grid below.
Answers
Find the zeros of y = x2 - 8x - 3 by completing the square.
O A. x=3+√7
B. X = +3
C. X = 4 + 119
O D. X= -4 + 119
Answers
Answer:
Assuming that you meant 4+√19 is C.
Step-by-step explanation:
[tex]x^2-8x-3=x^2-2(4)x-3=x^2-2(4)x+16-3-16\\(x-4)^2-19\\(x-4)^2-19=0\\(x+4)^2=19\\x+4=\sqrt{19} \\x=-4+-\sqrt{19}[/tex]
HELP ME ON THIS ONE PLZ NEED ANSWERS
What is the domain and range of each relation?
Drag the answer into the box to match each relation.
{(−7, 2), (−2, 2), (0, 1), (4, 5)}
A mapping diagram. Element x contains negative 4, negative 3, negative 1, and 1. Element Y contains negative 3, negative 1, and 4. Negative four maps to negative 1. Negative three maps to negative 3 and 4. Negative one maps negative 1. One maps to 4.
Answers
Answer:
See below.
Step-by-step explanation:
The domain of a relation are simply its x-values, while the range of a relation are its y-values.
1)
We have the relation:
{(-7,2), (-2,2), (0,1), (4,5)}
Again, the domain of this relation are the x-values. Therefore, the domain is:
{-7, -2, 0, 4}
The range of this relation are the y-values. Therefore, the range is:
{2, 1, 5}
Note that even though the 2 repeats, we only count it once because it's the same.
2)
We have the relation:
{(-4,-1), (-3,-3), (-3,4), (-1,-1), (1,4)}
The domain are the x-values. Therefore, the domain is:
{-4, -3, -1, 1}
Again, the -3 repeats so we only count it once.
And the range would be the y-values:
{-3, -1, 4}
It's customary to place them in ascending order.
Answer:
If there are two set A and B. All the elements of set A are called domain and all elements of set B are range.And element of B which are maping with set A elements are codomain
Step-by-step explanation:
domains are -7,-2,0,4
range are 2,1,5
I hope this is helpful for you
On a 120-question test, a student got 96 correct answers. What percent of the problems did the student work correctly? (Btw use proportions and pls explain descriptively how you got your answer)
Answers
Answer:
Hey there!
96 correct/120 total= 4 correct/5 total.
Thus, the student had 0.8 of the answers correct, or 80% of them
Hope this helps :)
Answer:
please mark me as the brainliest
Step-by-step explanation:
80%
help me meeeeeeeeeeee
Answers
Answer:
15 pupcakes
Step-by-step explanation:
Purple is 1 out of 4 sections
1/4 times the number of total pupcakes
1/4 * 60
15
Miss White wants to buy 5 value meals at Mel’s Diner.
What is the reasonable total for her purchase?
A. $25
B. $1,000
C. $100
D. $10
Need answer ASAP
Answers
Answer: A
Step-by-step explanation:
Divide each total by 5 to get 5, 200, 20, 2.50. $5 per value meal is the most fair price.
Hope it helps <3
If the total is 25$, then each value meal would equal 25/5 = 5$, which is reasonable. so option A is correct.
What is the unitary method?The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.
A. If the total is 25$, then each value meal would equal 25/5 = 5$, which is reasonable.
B. If the total is $1000, then each meal would equal 1000/5 = $200, which is not reasonable
C. If the total is $100, then each meal would equal 100/5 = $20, which is not a reasonable price for a value meal
D. If the total is $10, then each meal would equal 10/5 = $2 which is not a reasonable price for a value meal.
Hence, If the total is 25$, then each value meal would equal 25/5 = 5$, which is reasonable. so option A is correct.
Learn more about the unitary method;
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