Based on the net positive returns from Eagle-Eye in both branches, the return from Accra was $180 million and the return from Lagos was $70 million.
What was the return from the branches?Assuming Lagos was l and Accra was A, the relevant formula would be:
2l + 40 = A to show the return was $40 million more than twice.
A + l = 250
Using substitution we get:
2l + 40 = 250 - l
3l = 250 - 40
l = 210 / 3
= $70 million
The return for Accra would be:
= 250 - 70
= $180 million
The rest of the question was:
What was the return from each branch?
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Question 5 of 10
Which of the following describes the non-rigid transformation in the function
shown below?
y+ 5 = − 2(x − 1)²2
-
OA. The graph is stretched vertically by a factor of 2.
OB. The graph is shifted 5 units down.
OC. The graph is reflected across the x-axis.
OD. The graph is shifted 1 unit right.
Answer:
the answer is B. because I had the same problem
I need help with this question
Answer:
\(sin\theta = \frac{5}{14}\\\\\theta = sin^-1 \frac{5}{14}\\\\\theta = 20.9\)
Option B: 20.9°
Twenty-four out of the forty pies at a bake sale are coconuts pies. What
percent of the pies are coconut?
Answer:
60%
Step-by-step explanation:
Total number of pies = 40
Number of coconut pies = 24
Percentage of coconut pies :
(Number of coconut pies / total number of pies) * 100%
(24 / 40) * 100%
0.6 * 100%
= 60%
60% of pies are coconut pies
Using the alternate form of the definition of the derivative, Compute f'(c) for f(x) = x+4/x, c=4
The value of the f(x) = (x + 4) / x at x = 4 is equal to - 1 / 4.
What is the value of the derivative of a function?
In this problem we have the following rational equation, which is equivalent to the following sum of functions:
f(x) = (x + 4) / x = 1 + 4 / x = g(x) + h(x)
Then, we must find both the derivatives of the functions g(x) and h(x) by using the definition of derivative:
g(x):
g'(x) = [1 - 1] / h
g'(x) = 0 / h
g'(x) = 0
h(x):
h'(x) = [4 / (x + h) - 4 / x] / h
h'(x) = [4 · x - 4 · (x + h)] / [h · (x + h) · x]
h'(x) = - 4 · h / [h · (x + h) · x]
h'(x) = - 4 /[(x + h) · x]
If h = 0, then:
h'(x) = - 4 / x²
Then, the first derivative of the function is f(x) = - 4 / x². Now we evaluate the function at x = 4:
f(4) = - 4 / 4²
f(4) = - 1 / 4
The value of the f(x) = (x + 4) / x at x = 4 is equal to - 1 / 4.
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Arrivals at a parking lot are assumed to follow the Poisson distribution. The average arrival rate is 2.8 per minute. What is the probability that during a given minute no cars will arrive
Answer:
\(P(x = 0) = 0.061\)
Step-by-step explanation:
Given
\(Average = 2.8\)
Required
Determine the probability that no car will arrive.
Since it is a Poisson distribution, the required probability is:
\(P(x) = \frac{e^{-m}m^x}{x!}\)
Where
\(m = average = 2.8\)
In this case;
\(x = 0\)
So:
\(P(x) = \frac{e^{-m}m^x}{x!}\)
\(P(x = 0) = \frac{e^{-2.8}2.8^0}{0!}\)
\(P(x = 0) = \frac{e^{-2.8}*1}{1}\)
\(P(x = 0) = e^{-2.8}\)
\(P(x = 0) = 0.06081006262\)
\(P(x = 0) = 0.061\) --- Approximated
Question 1 of 10
Which of the following is used to measure a vehicle's efficiency when it
comes to distance traveled with 1 gallon of gas?
A. Miles per gallon, or mpg
B. Fuel tank size
C. GPA
D. Odometer
SUBMIT
Answer:
A. Miles per gallon, or mpg
explanation:
Fuel economy is a measure of how far a vehicle will travel with a gallon of fuel; it is expressed in miles per gallon.
Miles per gallon, or mpg is used to measure a vehicle's efficiency when it comes to distance traveled with 1 gallon of gas
What is Speed?Speed is the time rate at which an object is moving along a path,
Miles per gallon, or mpg, is used to measure a vehicle's efficiency when it comes to distance traveled with 1 gallon of gas.
It is a measure of how far a car can travel on one gallon of gasoline.
The higher the mpg, the more efficient the car is in terms of fuel consumption.
Fuel tank size, GPA, and odometer are not used to measure a vehicle's efficiency in terms of fuel consumption.
Hence, Miles per gallon, or mpg is used to measure a vehicle's efficiency when it comes to distance traveled with 1 gallon of gas
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100 POINTS PLEASE HELP FAST
Select the correct answer.
The weight of a radioactive isotope was 96 grams at the start of an experiment. After one hour, the weight of the isotope was half of its initial weight. After two hours, the weight of the isotope was half of its weight the previous hour. If this pattern continues, which of the following graphs represents the weight of the radioactive isotope over time?
The top left graph represents the weight of the radioactive isotope over time.
How to define an exponential function?An exponential function has the definition presented according to the equation as follows:
\(y = ab^x\)
In which the parameters are given as follows:
a is the value of y when x = 0.b is the rate of change.The parameter values for the function in this problem are given as follows:
a = 96, b = 0.5.
Hence the function is given as follows:
\(y = 96(0.5)^x\)
Two points on the graph of the function are given as follows:
(1,48) and (2, 24).
Hence the top left graph represents the weight of the radioactive isotope over time.
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Answer:
Graph W
Step-by-step explanation:
The given information describes a radioactive decay process, where the weight of the isotope decreases by half at regular intervals. This type of decay is characteristic of exponential decay.
Based on the description, the graph that represents the weight of the radioactive isotope over time would be a decreasing exponential curve, where the y-axis represents the weight of the isotope (in grams), and the x-axis represents time (in hours).
The initial weight of the isotope is 96 grams, and after each subsequent hour, the weight becomes half of what it was in the previous hour. Therefore, the correct graph would start at 96 grams (the initial weight when x = 0) and then decrease by half every hour. It would be a curve that gets closer and closer to zero but never quite reaches it.
Initial weight: 96 grams
After 1 hour: 96 / 2 = 48 grams
After 2 hours: 48 / 2 = 24 grams
After 3 hours: 24 / 2 = 12 grams
After 4 hours: 12 / 2 = 6 grams
After 5 hours: 6 / 2 = 3 grams
So, the points on the graph would be:
(0, 96), (1, 48), (2, 24), (3, 12), (4, 6), (5, 3)Therefore, the graph that represents the weight of the radioactive isotope over time is Graph W.
Find the value of the derivative (if it exists) at the given extremum. (If an answer does not exist, enter DNE.) f(x) = (x + 4)^2/3 f'(-4) = Find the critical numbers of the function. f(x) = x^6 - 6x^5
The critical numbers of f(x) = x^6 - 6x^5 are x = 0 and x = 5 at the given extremum.
To find the derivative of f(x), we use the chain rule and power rule:
f(x) = (x + 4)^(2/3)
f'(x) = (2/3)(x + 4)^(-1/3)(1)
f'(-4) = (2/3)(-4 + 4)^(-1/3)(1) = DNE (the derivative does not exist at x = -4)
To find the critical numbers of f(x), we first find the derivative:
f(x) = x^6 - 6x^5
f'(x) = 6x^5 - 30x^4
Next, we set the derivative equal to zero and solve for x:
6x^5 - 30x^4 = 0
6x^4(x - 5) = 0
So the critical numbers of f(x) are x = 0 and x = 5.
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The price of gas goes up to $3.24 per gallon after a 9.4% increase. What was the price before the increase?
Answer:
i think this correct
Step-by-step explanation:
3.24=(1+9.4/100) x
then x= 2.961 $
Deborah is making plans for a new room in her house that will have an area of
500 ft2. The image below shows a scale model of the room. What is the scale
being used in the model?
5 in
4 in
O 1 inch = 4 feet
1 inch = 5 feet
1 inch = 3 feet
Answer:
This is so confusing
Step-by-step explanation:
where is the image?
Annie's rectangular garden is 5 feet long and 3 feet wide. What is the area of her garden?
we know that
the dimensions of the first garden are------> 5 ft x 3 ft
perimeter first garden=2*[5+3]-----> 16 ft
the dimensions of the second garden are---> (5*2) ft x (3*2) ft
10 ft x 6 ft
perimeter second garden=2*[10+6]-----> 32 ft
so
The answer is
32
solve the following inequality for z. write your answer in simplest form. -9-(2z-7)>-2z-6-5z
Answer:
z > -4/5
Step-by-step explanation:
-9 - (2z - 7) > -2z - 6 - 5z
Get rid of the parenthesis
*There is the number one in front of the parenthesis.-9 - 2z + 7 > -2z - 6 - 5z
Combine like terms:
-2 - 2z > -7z - 6
+2 > +2
Add 2 to both sides.
-2z > -7z - 4
+7z > +7z
Add 7 to both sides.
5z > -4
Divide both sides by 5 to get z.
z > -4/5
The sign stays the same unless you divide by a negative number---------------------------------
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Answering questions for you to help me please
Answer:
3) 49*x^2*y^2
4) x
5) 1
6) 8
Step-by-step explanation:
3). ( 7xy)^2
=. 7^2 * x^2 * y^2
= 49*x^2*y^2
4). x^3 / x^2
= x
5). 7^0
=. 1
6). 8x^0
= 8
Determine which conic section is represented based on the given equation: 4x^2+9xy+4y^2-36y-125=0
The conic section of the equation 4x² + 9x +4y² - 36y - 125 = 0 is a circle
Selecting the conic section of the equationThe given equation is
4x² + 9xy + 4y² - 36y - 125 =0
The above equation is an illustration of a circle equation
The standard form of a circle equation is
(x - a)² + (y - b)² = r²
Where
(a, b) is the center
r is the radius
While the general form of the equation is
ax² + fx + by² + gy + c =0
Where c is a constant
Recall that, we have
4x² + 9x + 4y² - 36y - 125 =0
This is the general form
We can convert to the standard form as follows
Divide through by 4
x² + 2.25x + y² - 9y - 31.25 =0
Next, we complete the square of the x-terms and the y-terms
For the x-terms, we have
x² + 2.25x = x² + 2.25x + (2.25/2)² - (2.25/2)²
x² + 2.25x = (x + 2.25/2)² - (2.25/2)²
For the y-terms, we have
y² - 9y = y² - 9y + (9/2)² - (9/2)²
y² - 9y = (y - 9/2)² - (9/2)²
Substitute the new x and y terms
So, x² + 2.25x + y² - 9y - 31.25 = 0 becomes
(x + 2.25/2)² - (2.25/2)² + (y - 9/2)² - (9/2)²- 31.25 =0
Evaluate the sum of like terms
(x + 2.25/2)² + (y - 9/2)² - 3377/64 = 0
So, we have
(x + 9/8)² + (y - 9/2)² = 3377/64
Using the above as a guide, we can conclude that the conic section of the equation is a circle
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Find the complete factored form of the
polynomial :
-8m²n-7m² nª
Enter the correct answer.
The polynomial -8m²n - 7m²n can be factored using the common factor -m²n. The complete factored form of the polynomial is (-m²n) (8 + 7a).
To find the complete factored form of the polynomial -8m²n - 7m²n, we can factor out common terms from both the terms. The common factor in the terms -8m²n and -7m²n is -m²n. We can write the polynomial as:
-8m²n - 7m²n = (-m²n) (8 + 7a)
Therefore, the complete factored form of the polynomial -8m²n - 7m²n is (-m²n) (8 + 7a). This expression represents the original polynomial in a multiplied form. We can expand this expression using distributive law to verify that it is equivalent to the original polynomial.
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I need help on this problem please?
Answer:
yes ur friend is correct
Step-by-step explanation:
because the value of x .
The diagram only shows that angles M and B are supplementary ( add up to 180 degrees) and that angel 4x is adjacent to angel M.However, there is no information about the measure of angle B or angel M, so we cannot determine the value of x
POSSIBLE POINTS. 1
On the written portion of her driving test, Leslie answered 65% of the questions correctly. If Leslie answered 78 questions correctly, how many questions were on
the driving test?
What part is missing?
O percent
a
ASAP!!!
Answer:
Step-by-step explanation:
The figure shows how the yard lines on a football field are numbered. The goal lines are labeled G. A referee was standing on a certain yard line as the first quarter ended. He walked 41
3
4
yards to a yard line with the same number as the one he had just left. How far was the referee from the nearest goal line? Express your answer as a simplified mixed number.
The referee was BLANK yards away from the goal line before moving.
YOU WILL DO YOU GOOD LUCK
Step-by-step explanation:
Shawn has to walk 1 mile to get home. He decides to take a break after walking
5/8 of a mile.
How much farther does he have to walk to get home? You can use the number line below to help you.
He has to walk 3/8 of a mile farther to get home.
To solve the problem, we need to find how much farther Shawn has to walk after taking a break.
If Shawn has already walked 5/8 of a mile, then he still has 3/8 of a mile left to walk to get home.
We can represent this on a number line, where 0 represents the starting point and 1 represents the endpoint (home):
0------------5/8------------1
From this number line, we can see that Shawn has walked 5/8 of the distance and still has 3/8 of the distance left to walk to get home.
Therefore, he has to walk 3/8 of a mile farther to get home.
What is number line?
A number line is a visual representation of the real numbers, where numbers are placed at equal intervals on a straight line. The number line is usually drawn horizontally, with zero in the center and positive numbers to the right of zero and negative numbers to the left of zero.
The distance between two consecutive integers on the number line is usually equal, making it easy to represent and compare numbers. Decimals, fractions, and irrational numbers can also be represented on the number line by placing them at appropriate locations between the integers.
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I need help understanding this (:
Answer:
Step-by-step explanation:
-3 ≤ x < 2
-3 * 4 ≤ 4x < 2 * 4
-12 ≤ 4x < 8
-12 - 3 ≤ 4x - 3 < 8 - 3
-15 ≤ 4x - 3 < 5
so the second choice is right.
Find the length of the third side. If necessary, round to the nearest tenth.
12
5
9514 1404 393
Answer:
13
Step-by-step explanation:
The hypotenuse can be found using the Pythagorean theorem. If we call that side 'c', then the theorem tells us ...
c² = 5² + 12²
c² = 25 +144 = 169
c = √169 = 13
The length of the third side is 13 units.
_____
Additional comment
The numbers (5, 12, 13) are what is called a "Pythagorean triple." That is, they are integers that can be used to form a right triangle. Others often seen in algebra problems are the (3, 4, 5), (7, 24, 25), and (8, 15, 17) triples. It can be worth your trouble to remember these. Then when you see side lengths of 5 and 12, you don't need to do any math to know the third side is 13.
suppose f(x) = x-2. what is the graph of g(x) = f(3x)?
Answer:
x=1
Step-by-step explanation:
190 of 7
6 7 8 9 10
-3
4
5
6
The slope of the line shown in the graph is
and the intercept of the line is
Answer:slope 2/3
Y-int 6
Step-by-step explanation:
What is the equation of the line that passes through the point (4,−2) and has a slope of
−2?
Point-slope form:
y
−
2
=
−
3
x
+
12
Slope-intercept form:
y
=
−
3
x
+
14
Explanation:
First write a point-slope equation
y
−
y
1
=
m
(
x
−
x
1
)
, where
(
x
1
,
y
1
)
is the given point,
(
4
,
2
)
, and
m
is the slope,
−
3
.
y
−
2
=
−
3
(
x
−
4
)
y
−
2
=
−
3
x
+
12
For graphing, you can convert to the slope-intercept form,
y
=
m
x
+
b
, by solving for
y
, where
m
is the slope and
b
is the y-intercept.
Add
2
to both sides.
y
=
−
3
x
+
12
+
2
y
=
−
3
x
+
14
m
=
−
3
and
b
=
14
graph{y=-3x+14 [-10.72, 9.29, 7.66, 17.66]}
Brian and sold 72 classes with apple juice for a school party if each class hold 1 cup of work if juice how much money quarts of apple juice did Brian use
Answer: 18 quarts
Step-by-step explanation: If there are 72 cups of apple juice, there are 18 quarts.
4 cups = 1 quart
72 cups / 4 = 18
18 quarts
dude what is this i dont understand
Answer:
g(1) = 1
Step-by-step explanation:
the absolute value function always gives a positive result, that is
| - a | = | a | = a
to evaluate g(1) substitute x = 1 into g(x)
g(1) = - 3| 1 - 2| + 4
= - 3| - 1| + 4
= - 3(1) + 4
= - 3 + 4
= 1
Helpp i have 12 minutes
Answer:
the answer is 924.8 round it up and you get 925
Step-by-step explanation:
List the next four multiples of the fraction. 3/6
t = 4/5 x 20. What is T?
Answer:
the answer is 16
Step-by-step explanation:
20×4=80
80/5=16
I need help solving this
The cylinder has a volume of 150.796 in³. The cylinder has a surface area of 175.929 in².
What's volume of cylinder ?The quantity of three-dimensional space that an object or closed surface occupies is referred to as volume in mathematics. The cubic units of volume are m³, cm³, in³, and so on.
How does surface area work?The sum of all of an object's faces is its surface area in three dimensions. Wrapping, painting, and finally building things to achieve the best possible design are examples of real-world applications of the concept of surface areas.
Evaluating :Given that a volume of cylinder = h × r² × π
h = 12 in
r = 2 in
volume = ?
Volume of cylinder = h × r² ×π
= =12 × 3.14×(2)²
=37.68 × 4
=150.796 in³
B). Surface area of cylinder= 2πr² + 2πrh
=2× 3.14 × (2)²+2× 3.14× 2×12
=175.929in²
The formula V=r²(h) can be used to determine a cylinder's volume. Simply multiplying the area of the circular base shape by the height is all that is required to determine a cylinder's volume.
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