One angle of a triangle is three times as large as another. the measure of the third angle is 65 degrees more than that of the smallest angle. find the measure of each angle.
If 25 people play the game how many people do you expect to hit HHH?
Answer:
Almost 3 persons are expected to hit HHH.Step-by-step explanation:
To find the answer we must use the diagram, we see that among 8 possible results, there's one possible outcome to hit HHH.
So, to find the amount of people that are expected to hit HHH, we just have to multiply each percentage assigned to the HHH outcome:
[tex](0.7)(0.5)(0.3)=0.105[/tex]
Now, we see that a 10.5% of the people will be expected to hit HHH.
The approximate number of people would be:
[tex]25(0.105) \approx 3[/tex]
Therefore, almost 3 persons are expected to hit HHH.
Paul took out a 2-year loan for $1450 at a computer retailer to be paid back with monthly payments at an 18% APR, compounded monthly. If the loan offers no payments for the first 4 months, about how much in total will Paul pay in interest for the loan?
Haley read three less than twice as many books as her brother did last summer. haley read five books.which equation could you use to find how many books her brother read (b)?
Answer:
2b - 3 = 5
Step-by-step explanation:
If her brother read b number of books last summer, twice the number of books her brother read
= 2b
three less than twice as many books as her brother read
= 2b - 3
If haley read five books and it is same as three less than twice as many books as her brother last summer, then
2b - 3 = 5
if f(x) and it’s inverse function, f-1(x) are both plotted on the same coordinate plane, what is their point of intersection?
By using basic property of inverse function we got that if f(x) and it’s inverse function are both plotted on the same coordinate plane, then their point of intersection is (3,3)
What is function ?Function is relation between a set to another set with a property that every element of first set has a unique image in second set.
Here graph of f(x) is given and we have to find the point of intersection of function and it's inverse function
We know that a function and it's inverse function are mirror image of each other with respect to line y=x hence they intersect only at y=x line
By drawing y=x line with the given graph we got that f(x) intersect y=x line at (3,3) hence inverse function will intersect at (3,3)
By using basic property of inverse function we got that if f(x) and it’s inverse function are both plotted on the same coordinate plane, then their point of intersection is (3,3)
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When the graph of a function and its inverse function are plotted on the same coordinate plane, the point of intersection is the point where the two graphs intersect. Therefore, the point of intersection is (x, y).
Explanation:When the graph of a function and its inverse function are plotted on the same coordinate plane, the point of intersection is the point where the two graphs intersect.
Let's say the point of intersection is (x, y).
This means that both f(x) and f-1(x) have the same x-coordinate, which is x, and the same y-coordinate, which is y.
Therefore, the point of intersection is (x, y).
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Uppose a jar contains 12 red marbles and 18 blue marbles. if you reach in the jar and pull out 2 marbles at random without replacement, (a) find the probability of getting two red marbles:
[tex] \displaystyle
|\Omega|=\binom{30}{2}=\dfrac{30!}{2!28!}=\dfrac{29\cdot30}{2}=435\\
|A|=\binom{12}{2}=\dfrac{12!}{2!10!}=\dfrac{11\cdot12}{2}=66\\\\
P(A)=\dfrac{66}{435}=\dfrac{22}{145}\approx15\% [/tex]
A group of people are going on a 5 mil hike. They walked 2 1/10 miles in the morning and 1 1/4 mils during the first hr of the afternoon. How many miles do they have to walk?
What is the area of a circle with a radius is of 6 inches?
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Use a calculator to find the mean and standard deviation of the data. Round to the nearest tenth.
946, 726, 956, 519, 104, 415, 428, 457, 614, 201, 772, 801
A. mean = 566.5; standard deviation = 261.9
B. mean = 578.3; standard deviation = 261.9
C. mean = 578.3; standard deviation = 68572.4
D. mean = 566.5; standard deviation = 68572.4
Answer:
mean is 578.3 deviation 261.9
Step-by-step explanation:
The scale factor of a figure and its enlargement is 6. What is the new length of the enlarged figure if the original length is 3 cm?
3 cm
6 cm
18 cm
36 cm
Answer:
The new length of the enlarged figure will 18 cm.
Step-by-step explanation:
A scale factor is a number which scales, or multiplies the original figure by some quantity.
In the equation [tex]y = Cx[/tex], C is a scale factor for x. It is called the constant of proportionality or scale factor of y to x.
As the given length is 3 cm, so with a scale factor of 6, the length of the enlarged figure will be [tex]3\times 6=18[/tex] cm
Therefore, the new length of the enlarged figure will 18 cm.
The period T in seconds of a simple pendulum of length L in feet is given by T=2π√L/32. Determine the length in feet of a simple pendulum whose period is 8.72 seconds. Round your answer to the nearest foot.
1972 feet.
387 feet.
62 feet.
256 feet.
-2x+3 > x +24
Show steps how you got your solution
How to find the volume of a equilateral triangular prism?
TIMED, anyone know the answer?
How do find the measure of side a?
The measure of side a is 14.
We have,
We use the trigonometric identites:
Sin function
Now,
Sin A = Perpendicular / Hypotenuse
Sin 34 = a / 25
0.56 = a / 25
a = 0.56 x 25
a = 14
Thus,
The measure of side a is 14.
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On n − {1}, the relation r given by a r b iff the prime factorizations of a and b have the same number of 2's. for example, 48 r 80 because 48 = 24 · 3 and 80 = 24 · 5. name three elements in each of these classes: 7, 10, 72.
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A class of 24 students was asked to identify a team spot in which they have participated. Their responses are shown in the line plot.
a. How many total responses are recorded in the line plot for the five sports?
b. What is the total number of students polled?
c. Give a possible explanation as to why the answers of part (a) and (b) are different.
To solve this system of equations by elimination, what operation could be used to eliminate the y-variable and find the value of x? 2x − 4y = 6 −3x + 3y = 12 A) add 3 times the second equation to 4 times the first equation B) add 4 times the second equation to 3 times the first equation C) subtract 3 times the second equation from 4 times the first equation D) subtract 4 times the second equation from 3 times the first equation
Answer:
Option B is correct.
add 4 times the second equation to 3 times the first equation
Step-by-step explanation:
Given the system of equation:
[tex]2x - 4y = 6[/tex] ......[1]
[tex]-3x + 3y =12[/tex] .....[2]
Multiply equation [1] by 3 we get;
[tex]3(2x-4y) = 3 \cdot 6[/tex]
Using distributive property; [tex]a\cdot (b+c) = a\cdot b+ a\cdot c[/tex]
6x - 12y = 18 .......[3]
Multiply equation [2] by 4 we get;
[tex]4(-3x+3y) = 4 \cdot 12[/tex]
Using distributive property we get;
-12x + 12y = 48 ......[4]
Add equation [3] and [4] to eliminate y and solve for x;
(6x -12y) + ( -12x +12y ) = 18 + 48
6x - 12y -12x + 12y = 66
Combine like terms;
6x - 12x = 66
or
-6x = 66
Simplify:
x = -11
Therefore, the operation which could be used to eliminate the y-variable and find the value of x is;
add 4 times the second equation to 3 times the first equation.
Answer:
Option B
Step-by-step explanation:
Given is a system of two equations as
[tex]2x − 4y = 6 \\−3x + 3y = 12[/tex]
To solve them using elimination:
Elimination method is the method of making coefficients of one variable numerically equal
IN the given system we have -4 as coefficient for y in I equation and 3 for y in II equation.
To make them numerically equal with opposite signs we can multiply I equation by 3 and II by 4
WE get
[tex]6x-12y =18\\-12x+12y=48[/tex]
Now if we add these two we are able to eliminate y from the system
Adding gives
[tex]-6x=66\\x=-11[/tex]
So option B is right
For a function p(x)= x^2-9, what is the inverse function for the domain [0, infinity\
3.2km/50min X 60min/1hr X 1mi/1.6km
A) 2.4mi/hr
B) 2.4km/hr
C) 12mi/hr
D) 12km/hr
The student's conversion calculation of speed units from kilometers per minute to miles per hour yields a speed of 2.4 miles/hour, so the answer is choice A.
Explanation:The question is a conversion exercise in speed units from kilometers per minute to miles per hour. We have the following information: 3.2 km in 50 min, and we know that 1 mile is equivalent to 1.6 km and 60 min is equivalent to 1 hour. Thus, the conversion is as follows:
3.2 km ÷ 50 min. = 0.064 km/min.
Converting km/min to mi/hr involves multiplying by 60 (minutes in an hour) and dividing by 1.6 (km in a mile), and we get:
(0.064 km/min x 60 min/hr) ÷ 1.6 km/mi. = 2.4 mi/hr.
Hence, the correct answer is (A) 2.4 miles/hour.
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Find the height of the cylinder.
options;
4.8 in.
2.4 in.
14.4
7.2 in.
The height of cylinder is,
⇒ h = 2.4 inches
We have to given that,
In a cylinder,
Volume = 271.4 inches³
And, Radius = 6 inch
Since, We know that,
Volume of cylinder is,
⇒ V = πr²h
Where, V is volume , r is radius and h is height.
Substitute all the values, we get;
⇒ 271.4 = 3.14 × 6² × h
⇒ 271.4 = 3.14 × 36 × h
⇒ 271.4 = 113.04 × h
⇒ h = 2.4 inches
Thus, The height of cylinder is,
⇒ h = 2.4 inches
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What is the value, after 7 years, of a 2014 mustang that was originally 25,000.00, if it depreciates at a rate of 8% per year??
The estimated answer would be =14000
Which linear expression is a factor of the polynomial function f(x) = x3 + 2x2 − x − 2? x − 2 x + 2 x + 3 x − 3
Find the slope of the line that passes through the pair of points. (4, 8), (8, 11)
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what is 17.5 of 50???
A culture started with 3,000 bacteria. After 7 hours, it grew to 3,300 bacteria. Predict how many bacteria will be present after 17 hours. Round your answer to the nearest whole number. P=Ae^kt
Answer:3,780
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i need help with number 2 please p