−32c+12≤−66c−16
Can someone solve please?
Answers
Answer:
c ≤ c ≤ [tex]\frac{-14}{17}[/tex].
Step-by-step explanation:
Given : −32c + 12 ≤ −66c − 16.
To find : Solve
Solution ": We have given
−32c + 12 ≤ −66c − 16.
On subtracting both sides by 12
- 32 c ≤ −66c − 16 - 12
- 32 c ≤ −66c − 28
On adding both sides by 66 c
-32c +66c ≤ − 28.
34 c ≤ − 28.
On dividing both sides by 34
c ≤ [tex]\frac{-28}{34}[/tex].
On dividing both number by 2
c≤ [tex]\frac{-14}{17}[/tex].
Therefore, c ≤ [tex]\frac{-14}{17}[/tex].
Related Questions
For a function p(x)= x^2-9, what is the inverse function for the domain [0, infinity\
Answers
[tex]p(x)[/tex]
Then, the inverse function will be as follows:
[tex]p^{-1}(x) [/tex]
Given that [tex]y = p(x)[/tex], we need to isolate x in terms of y:
[tex]y = x^{2} -9[/tex]
∴ [tex]y+9 = x^{2}[/tex]
So:
[tex]x=+\sqrt{y+9}[/tex] and [tex]x=-\sqrt{y+9}[/tex]
therefore, exchanging variables x and y:
[tex]y=+\sqrt{x+9}[/tex] and [tex]y=-\sqrt{x+9}[/tex]
[tex]p^{-1}(x)=+\sqrt{x+9}[/tex] and [tex]p^{-1}(x)=-\sqrt{x+9}[/tex]
Which are the figures shown below.
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:
Answers
[tex] \frac{12}{30} \times \frac{11}{29} = \frac{22}{145} [/tex]
[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 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
Answers
3300=3000e^(7k)
11=e^(7k)
In(11)/7=k
P=Ae^(In(11)/7t)
P=3000e^(In(11)/7(17))= 3780 in population.
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.
Answers
The total number of responses recorded for the five sports according to the line plot is 28
b.What is the total number of students polled?
Given that a class of 24 students was asked to identify the team spot in which they have participated, then the number of students who polled was 24.
c] The reason why the answers to part a and part b are different could be because some students participated in more than 1 sport.
Which linear expression is a factor of the polynomial function f(x) = x3 + 2x2 − x − 2? x − 2 x + 2 x + 3 x − 3
Answers
So by the factor theorem:-
x + 2 is a factor
What is the area of a circle with a radius is of 6 inches?
Answers
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
Answers
3 x 6 = 18
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.
How do find the measure of side a?
Answers
a = 25 sin 34
a = 14 m to nearest whole number
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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3.2km/50min X 60min/1hr X 1mi/1.6km
A) 2.4mi/hr
B) 2.4km/hr
C) 12mi/hr
D) 12km/hr
Answers
-------- x -------- x ----------- (cancel out: ---- and ------ )
50min 1hr 1.6km km min
2.4 mi
= ---------
hr
answer
A) 2.4mi/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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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)?
Answers
The 2 stands for the "twice as many"
The b stands for her brother.
The 3 stands for the "3 less books"
And the 5 stands for Haley's total.
I hope this helps!
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
Enter your answer in the box.
Answers
so
S(n) = (n/2)*(a(1)+a(n))
S(25) = (25/2)*(a(1)+a(25))
n=25
a(n) = 3n-2
a(1)= 3*1-2=1
a(1)=1
a(25) = 3*25-2=75-2=73
a(25)=73
S(25) = (25/2)*(1+73)=(25/2)*74=925
S(25)=925
Answer : 925
i need help with number 2 please p
Answers
b= 4.5
XY=8
YZ=8
XZ=16
-2x+3 > x +24
Show steps how you got your solution
Answers
First we must get all variables on the same side and constants on the opposite side. To do so we subtract x from the right and the left. Then subtract 3 from both sides as well.
- 2x - x > 24 - 3
Now we combine like terms:
- 3x > 21
We must isolate the variable x. In order to do so, we divide both sides by - 3. When you divide by a negative number, you must also flip the inequality so the greater than becomes a less than.
x < 21 / - 3
x < - 7 is your answer.
You can solve this algebraically
-2x + 3 > x + 24
Subtract x from both sides
-3x + 3 > 24
Subtract 3 from both sides
-3x > 21
Divide both sides by -3
Since you divided by a negative you flip the sign
x < -7
The answer is x < -7 or any number that is greater than -7
Hope this helps!
Find the height of the cylinder.
options;
4.8 in.
2.4 in.
14.4
7.2 in.
Answers
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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Find the slope of the line that passes through the pair of points. (4, 8), (8, 11)
Answers
We're given the points : (4, 8) & (8, 11)
Plug these into the slope equation, which is : m = (y₂-y₁) / (x₂-x₁)
m = (11 - 8) / (8 - 4)
Simplify.
m = 3/4
So, our slope is 3/4!
~Hope I helped!~
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.
Answers
smaller = x
larger = 3x
known angle = 65°
All angles add up t10 180:
x + 3x + 65 = 180
4x + 65 = 180
4x = 115
x = 28.75
Smaller angle = 28.75
Larger angle = 86.25
Answer: The angles are 28.75° and 86.25°
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?
Answers
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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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?
Answers
If 25 people play the game how many people do you expect to hit HHH?
Answers
25 x.105= 2.625
most likely either 2 or 3
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.
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??
Answers
The estimated answer would be =14000
TIMED, anyone know the answer?
Answers
This is true because the first concave hexagon is simply reflected across the vertical to create the second figure. We know this by examining the congruent side lengths.
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
Answers
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
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.
Answers
T = 2π√L / 32
Clearing L we have:
T / 2π = √L / 32
(T / 2π) ^ 2 = L / 32
L = 32 * (T / 2π) ^ 2
Substituting values:
L = 32 * (8.72 / (2 * (3.14))) ^ 2
L = 61.69694511 feet
Round to the nearest foot:
L = 62 feet
Answer:
L = 62 feet
T = 2π√L / 32
We need to find L so we have:
T / 2π = √L / 32
(T / 2π) ^ 2 = L / 32
L = 32 * (T / 2π) ^ 2
Substitute the values:
L = 32 * (8.72 / (2 * (3.14))) ^ 2
L = 61.69694511 feet
L = 62 feet
So the Answer is
L = 62 feet
How to find the volume of a equilateral triangular prism?
Answers
WILL GIVE BRAINLIEST
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
Answers
Answer:
mean is 578.3 deviation 261.9
Step-by-step explanation:
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?
Answers
Explanation:
[tex]5 - 2\cfrac{1}{10} - 1 \cfrac{1}{4} = 5 \cfrac{0}{20} - 2\cfrac{2}{20} - 1 \cfrac{5}{20} = 4 \cfrac{20}{20} - 2\cfrac{2}{20} - 1 \cfrac{5}{20} = 1 \cfrac{13}{20}[/tex]
Please help me with this
thank u soo much:)
Answers
Point b is first quartile
Point c is the median
Point d is the maximum
A = Minimum Value
B = First Quartile
C = Median
D = Maximum Value
Hope this helps :)
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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Please help me on this ?!?!?!
Answers
what is 17.5 of 50???
Answers
= 8 3/4
= 35/4