Answer:
b/a = 3
Step-by-step explanation:
f(x) / (x²-4x-12) = Q(x) + (x+6)/(x²-4x-12)
f(x) = Q(x)*(x²-4x-12) + (x+6)
x= - 2 ... when f(x) is f(-2) x²-4x-12 = 4+8-12 = 0
a = f(-2) = Q(x)*0 + (-2 + 6) = 4
x= 6 ... when f(x) is f(6) x²-4x-12 = 36-24-12 = 0
b = f(6) = Q(x)*0 + (6 + 6) = 12
b/a = 12/4 = 3
How many solutions does this system have?
y = 2/3x + 3
2x - 3y = -9
A. one solution (what i think) ****
B. two solutions
C. no solutions
D. infinitely many solutions
Answer:ONE solution.
Step-by-step explanation:
Write five other iterated integrals that are equal to the given iterated integral. 8 0 x2 0 y f(x, y, z) dz dy dx 0
An iterated integral is the outcome of taking integrals toward a function of more than one variable in such a way that part of the variables is treated as constants for each of the integrals.
From the given parameters, we are to write out five iterations for a triple integral;
[tex]\mathbf{\int ^8_0\ \int^{x^2}_{0} \ \int^y_0 \ \ f(x, y, z) \ dz dy dx }[/tex]
where;
the region is bounded by 0 ≤ z ≤ y, 0 ≤ y ≤ x², 0 ≤ x ≤ 8.Thus, since x, y, z are functions of at least one variable, we can have the following iterations:
[tex]\mathbf{\int^{64}_{0} \ \int^{8}_{\sqrt{y}} \ \int^{y}_{0} \ \ f(x,y,z) dz dxdy}[/tex] [tex]\mathbf{\int^{64}_{0} \ \int^{y}_{0} \ \int^{8}_{\sqrt{y}} \ \ f(x,y,z)\ dxdzdy}[/tex] [tex]\mathbf{\int^{64}_{0} \ \int^{64}_{z} \ \int^{8}_{\sqrt{y}} \ \ f(x,y,z)\ dxdydz}[/tex] [tex]\mathbf{\int^{8}_{0} \ \int^{x^2}_{0} \ \int^{x^2}_{z} \ \ f(x,y,z)\ dydzdx}[/tex] [tex]\mathbf{\int^{64}_{0} \ \int^{8}_{\sqrt{z}} \ \int^{x^2}_{z} \ \ f(x,y,z)\ dydxdz}[/tex]Learn more about iterated integrals here:
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Write an equation in point-slope form for the line that passes through the given points (1,-3),(4,-15)
Answer: b=7
Step-by-step explanation:
Sin2A+Sin2B÷Sin2A-Sin2B=Tan(A+B)÷Tan(A-B) Prove that
Take L.H.S sin2A+sin2B/sin2A-sin2B
= sin2A+sin2B/sin2A-sin2B
Put
[sinC+sinD = 2sin(C+D)/2cos(C-D)/2]
[sinC-sinD = 2cos(C+D)/2.sin(C-D)/2]
= 2 sin(2A+2B)/2 cos(2A-2B)/2 / 2 cos(2A+2B) sin(2A-2B)
= sin(A+B).cos(A-B)/cos(A+B).sin(A-B)
= sin(A+B)/cos(A+B) . cos(A-B)/sin(A-B)
= tan(A+B).cot(A-B)
= tan(A+B).1/tan(A-B)
= tan(A+B)/tan(A-B)
∴ Hence we proved sin2A+sin2B/sin2A-sin2B=tan(A+B)/tan(A-B)
The penalty box on a soccer field extends
54 ft from the goal line. The line where a
player gets to take a penalty kick is 12 yards
from the goal line. What is the ratio of the
distance from the goal line and where a
player takes a penalty kick?
Answer:
I dont know sorry
next time
Pls help I’ll brainlest
Answer:
Step-by-step explanation:
Mistakes: The student did not distribute the 3 into 2, and the student did not distribute the 6 into negative 2. The student also left out the negative 2x in the first half of the equation.
Consider the following data for 120 mathematics students at a college concerning the languages French, German, and Russian:
65 study French, 45 study German,
42 study Russian , 20 study French and German,
25 study French and Russian,
15 study German and Russian.
8 study all three languages.
Determine how many students study exactly 1 subject and fill the correct numbers of students in each eight region of Venn diagram shown in figure.
Answer:
check online for more information
The Venn diagram for given situation is as shown below.
The number of students who study exactly one subject = 56
What is set?"It is a collection of well-defined elements"
What is Venn diagram?"It is a pictorial representation that uses circles to show the relationships among sets."
For given example,
We have been given the data for 120 mathematics students at a college concerning the languages French, German, and Russian
Let set A, B and C represents the number of students who study French, German and Russian respectively.
⇒ n(A) = 65
⇒ n(B) = 45
⇒ n(C) = 42
20 study French and German
⇒ n(A ∩ B) = 20
25 study French and Russian,
⇒ n (A ∩ C) = 25
15 study German and Russian.
⇒ n(B ∩ C) = 15
8 study all three languages.
⇒ n(A ∩ B ∩ C) = 8
So, the Venn diagram for given situation is shown below.
Now, we find the number of students who study exactly one subject.
28 students study French only, 18 students study German only and 10 students study Russian only.
So, the total number of students who study exactly one subject is,
28 + 18 + 10 = 56
Therefore, 56 students study exactly one subject
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Mai makes her favorite shade of green paint by using 5 cups of blue paint for every 3 cups of yellow paint. Priya makes her favorite shade of green paint by using 7 cups of blue paint for every 5 cups of yellow paint. Whose favorite shade of green paint has more of a blue tint? Explain how you know.
Answer:
Priya
Step-by-step explanation:
Mai= 5:3 Priya=7:5
Mai= 15:15 Priya=21:15
The ratios above are blue:yellow so Priya's shade has more of a blue tint because it is 21:15 and Mai's is 15:15 so it is evenly spread.
can you help me with this graph question
Answer:
D
Step-by-step explanation:
the Max Point is (2,6) so y=b
sorry if u dont get it
Consider this diagram of quadrilateral ABCD, which is not drawn to scale.
Answers: Choice B and Choice D.
[tex]\angle ABE \cong \angle CDE[/tex] and [tex]\overline{AE} \cong \overline{CE}[/tex]
=====================================================
Explanation:
The tickmarks tell us which segments are congruent to one another. The segments with single tickmarks show that AE and CE are the same length. So this is why [tex]\overline{AE} \cong \overline{CE}[/tex]
---------------
The two triangles AEB and CED can be proven congruent through the use of the SAS theorem. From there, use CPCTC to conclude that the corresponding angles ABE and CDE are the same measure i.e. [tex]\angle ABE \cong \angle CDE[/tex]. They are alternate interior angles which helps lead to side AB being parallel to CD.
Answer:
B & D or <ABE=<CDE, AE=CE
Step-by-step explanation:
I got it right on khan
Emma has nickels and five dollar bills in her pocket. The number of nickels is Five less than three times the number of five. Let f represent the number of dollar bills. Write an expression of the number of nickels.
Answer:
since the number of nickels is 10 so the expression is5+5
The number of nickels is 10 so the expression is n = 3f - 5
What is an expression?Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Given that Emma has nickels and five dollar bills in her pocket. The number of nickels is Five less than three times the number of five.
Consider that f represent the number of dollar bills.
The expression "The number of nickels is" is equivalent to "n =";
Also, "three times the number of five dollar bills" is equivalent to "3*f"
"eight less than three times the number of five dollar bills" is equivalent to "3*f - 5"
Then the expression is n = 3f - 5
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Please see all the screenshots. I have included multiply problems in this one question.
Answer:
so basacilly the answer to all of the question is a
Step-by-step explanation: you welcome!
If a recipe uses 5 cups of flour for every 2 cups of sugar, how much sugar is used for every 1 cup of flour?
2/5 cup of sugar
you divide 5 by 5 to get 1 cup of flour, and you divide 2 by 5 to get 2/5 cup of sugar
Figure F is a scaled copy of E.
What is length of each missing measurement.
Answer:
answer
Step-by-step explanation:
what are do u mean what is f and e explain properly and then people will tell u
write one equivalent ratio of the given radio
1. 3/9
2.6/7
3.11/12
4.2/8
5.3/6
Sally was standing 30 feet from a tree.The angle of elevation from her eyes(standing 4 feet above the ground) to the top of the tree was 38. How tall is the tree? Round your answer to the nearest foot
Answer:
27ft-long
Step-by-step explanation:
good luck!!!
11)
Given the function, f(x) = x2 + 5x - 3 evaluate f(-2).
Answer:
f(- 2) = - 9
Step-by-step explanation:
Substitute x = - 2 into f(x) , that is
f(- 2) = (- 2)² + 5(- 2) - 3 = 4 - 10 - 3 = 4 - 13 = - 9
If a spherical tank 6 m in diameter can be filled with a liquid for $600, find the cost to fill a tank 12 m in diameter.
The cost to fill the 12 m tank is $__
The height of a house is 21 feet tall. A tree beside the house is 7 feet more than twice as tall as the house. What is the height of the tree?
Answer:
49 feet
Step-by-step explanation:
twice the size of the house is 42ft and seven feet more than 42 feet is 49 feet.
NO NEED FOR LINKS NEED HELP RIGHT NOW
Answer:
1a.2
2a. 9
3a. 6000
1b. 9000
2b. 3000
3b. 9
Step-by-step explanation:
Hope you could get an idea from here.
Doubt clarification - use comment section.
-57 = 16 + 5m
What does m=
Answer:
m = -14.6Step-by-step explanation:
Given Question:To find the value of mGiven Equation:-57 = 16 + 5mSolution:=> -57 = 16 + 5m
=> 16 + 5m = -57
(On subtracting -16 from both sides)=> 16 + 5m - 16 = -57 - 16
(On Simplification)=> 5m = - 73
(On dividing both sides with 5)[tex] = > \frac{5m}{5} = \frac{ - 73}{5} [/tex]
(On Simplification)=> m = -14.6
Hence, required value of m = -14.6 (Ans)
Answer:
_14.6
Step-by-step explanation:
-57 = 16 + 5m
-57 - 16 = 5m
-73 = 5m
÷5] - 14.6 = m
Nb.... M = - 14.6
Evaluate the expression 5xy+ -2xy+y^2 when x=4 and y=-5
Answer:
Hope it will help you...
A hiker maintains an average speed of 3 3/4 km/h. How many kilometers will the hiker walk in 5 hours
Answer:
3 3/4 km = 1 hr
_______. ____
x 5
5 (3 3/4) = 18.75 km
Answer:
Explanation:
18.75 km
How ur wants to get a car loan with 4% simple interest rate. If the car costs $25,000, how much would Howie need to pay back at the end of one year, including the interest?
The amount Howie need to pay back at the end of one year, including the interest is $26,000
Given:
Interest rate = 4%
Cost of car = $25,000
Time = 1 year
Amount of interest = Principal × Rate × Time
= 25,000 × 4% × 1
= 25,000 × 0.04 × 1
= $1,000
Amount to be paid = Amount of interest + Cost of car
= 1,000 + 25,000
= $26,000
Therefore, the amount Howie need to pay back at the end of one year, including the interest is $26,000
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The amount that Howie would need to pay back at the end of one year, including the interest for a car loan of $25,000 is $26,000.
What is simple interest?Simple interest is a finance charge that does not compound. It is calculated on the principal portion of a loan only.
The formula for computing simple interest is Principal x APR x Number of years.
Data and Calculations:Car loan = $25,000
Simple interest rate = 4%
Period of loan = 1 year
Principal + Interest for 1 year = $26,000 ($25,000 x 4% x 1).
Thus, the amount that Howie would need to pay back at the end of one year, including the interest for a car loan of $25,000 is $26,000.
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A researcher testing a hypothesis that the population mean is 25 takes a sample of size 36 and obtains a sample mean of 23 with an estimated standard error of 4. What is the observed value of the test statistic
Answer:
The test statistic is 23
Step-by-step explanation:
Best way to understand this is to think of a sample and it's purpose;
You take a sample to get information that can be extrapolated to apply to the whole population;
So, for example, you have a factory making light bulbs, and you want to find out how long they last;
You would take a number of light bulbs from the production line, i.e. a sample, and test these;
It would be impossible to test every light bulb as this would take too long and there would be none left unused to sell, i.e. it would not be feasible or viable to do;
You would then find a mean of these times from the sample, and then extrapolate and assume it to be the duration of any light bulb coming off the production line;
The sample is the handful of light bulbs chosen to test;
The test statistic refers to the quantity or value, calculated from the sample data, this would be the mean light bulb duration in the light bulbs example;
Similar and yet different to a test statistic, a population parameter refers to a quantity or value calculated from population data;
A population refers to all members of a particular group of objects/items, so in the example, it would be all the light bulbs produced;
The population parameter would refer to the mean calculated based on data from the population (i.e. all the light bulbs produced);
Realistically, it is impossible to determine a population since it would be unviable in the practically all cases, as we can see in the example;
This value is almost always theoretical and would be assumed from a test statistic in any real scenario.
Marcus sleeps 60 hours a week this is 5 times as many hours as he plays chess. How many hours a week does Marcus play chess?
Answer: 12 hours a week
Step-by-step explanation:
60/5 = 12
Since he plays chess 5 times the amount of time he sleeps, simply divide the amount of time he sleeps by 5.
Correct me if I am incorrect.
WILL MARK BRAINLIEST IF ANSWER IS CORRECT
Solve
20÷4+2•5
Answer: the answer is 8
Step-by-step explanation:
Hope this helped.
hi have a nice day
20
4
+(2)(5)
=15
Find the slope of the line that passes through (28, -25) and (27, 25).
Slope is the change in Y over the change in X:
Slope = (25- -25) / (27 - 28)
Slope = 50/-1
Slope = -50
Determine whether each sequence is geometric. Explain.
256, 128, 64, 32, ...
Answer:
Its geometric because each number is being divided by 2.
You use a garden hose to fill a wading pool. If the water level rises 16 centimeters every 7 minutes
and you record the data point of (21,y), what is the value of y? Use slope to justify your answer.
The rate of change at which the water level rises is ____ centimeters per minute. So solving the equation ____ for y gives a y-value equal to ____