Answers
Answer:
7/2 ≤ x < 4
Step-by-step explanation:
When an increasing function is applied to both sides of an inequality, their order does not change. We can solve the given inequality as though the square root symbol were not present.
__
Inequality solution5 -x > 2x -7
12 > 3x . . . . . add x+7
4 > x
domain restrictionsThe domain of f(x) requires that its argument be non-negative.
5 -x ≥ 0 ⇒ x ≤ 5
2x -7 ≥ 0 ⇒ x ≥ 7/2
full solutionTogether with the domain restriction on f(x), the solution to the inequality is ...
7/2 ≤ x < 4
Related Questions
Jacob earned a gross pay for the week of $592. If 16% was withheld for deductions, what was his net pay?
Answers
Answer:
$497.28
Step-by-step explanation:
First, you need to find 16% of 592. To do this, turn 16% into a decimal by dividing by 100:
16/100 = 0.16
Then, multiply 0.16 by 592, to get 94.72.
Then, subtract this number from 592:
592 - 94.72 = 497.28
In a survey of adults, 18% lift weights regularly, 32% run regularly, and 7% lift weights and run regularly. What is the conditional probability that an adult who lifts weights regularly, also runs regularly?
Answers
The conditional probability that an adult who lifts weights regularly, also runs regularly is 0.219 or 21.9% if the 18% lift weights regularly, 32% run regularly, and 7% lift weights and run regularly.
What is probability?It is defined as the ratio of the number of favorable outcomes to the total number of outcomes, in other words the probability is the number that shows the happening of the event.
Let's suppose P(A) is the probability of adults who lift weights regularly.
P(A) = 18% = 0.18
Similarly,
P(B) = 32% = 0.32
P(A∩B) = 0.07
We know:
[tex]\rm P(A|B) = \dfrac{P(A\cap B)}{P(B)}[/tex]
[tex]\rm P(A|B) = \dfrac{0.07}{0.32}[/tex]
P(A|B) = 0.219 or
P(A|B) = 21.9%
Thus, the conditional probability that an adult who lifts weights regularly, also runs regularly is 0.219 or 21.9% if the 18% lift weights regularly, 32% run regularly, and 7% lift weights and run regularly.
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11y6x+y=4x+11y6 what does y=
Answers
Answer:
[tex]y=\frac{x}{5}[/tex]
Step-by-step explanation:
hope this helps
Select the correct answer from each drop-down menu. use . a boy weighing kilograms is riding a skateboard. he’s moving at 2 meters/second and has 40 joules of kinetic energy. he doubles his speed when he sees his friends ahead of him. his kinetic energy at the faster speed is joules.
Answers
If he doubles his speed when he sees his friends ahead of him. his kinetic energy at the faster speed is joules is 160Joules
Kinetic energy of an object.The formula for calculating the kinetic energy of an object is expressed as:
KE = 1/2mv²
where:
m is the mass of an object
v is the velocity
If he’s moving at 2 meters/second and has 40 joules of kinetic energy, the mass is calculated as:
40 = 0.5(2)²m
40 = 2m
m = 20 kg
If he doubles his speed when he sees his friends ahead of him, his kinetic energy will be:
KE = 0.5(20)(4)²
KE = 10*16
KE = 160joules
Hence if he doubles his speed when he sees his friends ahead of him. his kinetic energy at the faster speed is joules is 160Joules
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There are 6 swimmers in a race. In how many ways can they finish in first and second place?
-12
-30
-120
-360
Answers
Answer:
step 1. 6x2=12 first place way
step 2. 12×2=24
step 3. 24+6=30 second place way
Peter was thinking of a number. peter adds 6 to it, then doubles it and gets an answer of 48.5. what was the original numbe
Answers
Answer: The original number was 18.25 or 18 1/4
18.25 plus 6 is 24.25
24.25 times 2 is 48.5
Step-by-step explanation:
mark as brilliant answer
Answer:
18.25
Step-by-step explanation:
x = number
add 6: (x+6)
double it : 2(x+6)
result = 48.5
2 (x+6) = 48.5
x+6 = 24.25
x = 18.25
25 points for just a simple question look at image below.
Answers
Answer:
Corresponding angles are always congruent
man im confused.... could someone help me out please?
Answers
Answer:
C) (-2,-16)
Step-by-step explanation:
It is the only point that does not fall on the slope 6x - 5, due to the nearest exact coordinate the line passes through is (-2,-17).
Need help with all 3
Answers
Answer:
48, 110,140
Step-by-step explanation:
Question 1
V= 4 * (6+6)
V=4 * 12
V= 48
Question 2
V= 11 * 10
V= 110
Question 3
V= (7 + 7) *10
V= 14 * 10
V= 140
PLEASE HELPP
Identify the growth factor for the following exponential function: y= 2.3(1.32)*
A. 2.3
B. 1.32
C. X
D. 32%
Answers
Answer:
D. 32%
Step-by-step explanation:
In an exponential function, exponential growth is modeled by f(x) = a(1 + [rate])ˣ. In this function, the initial value a, which is 2.3, is multiplied by 1.32 x times, so 1.32 represents the actual growth happening.
This means that to find the actual rate of exponential growth, you’d have to set 1.32 equal to (1 + [rate]). If (1 + [rate]) = 1.32, then the rate = .32, and because rates are written as percentages, we change .32 to 32%.
The amount of a radioactive substance remaining after t years is given by the function , where m is the initial mass and h is the half-life in years. iron has a half-life of 2.7 years. which equation gives the mass of a 200 mg iron sample remaining after t years, and approximately how many milligrams remain after 12 years? ; 2.6 mg f(t)=2.7(0.5)t; 0.0007 mg f(t)=200(0.5)t; 0.05 mg ; 9.2 mg
Answers
The equation that gives the amount of Fe that remains after 12 years is; F(t) =200(0.5)^12/2.7.
What is a radioactive substance?A radioactive substance is a substance that decays spontaneously. Recall that the half life is the time taken for half of the radioactive substance to remain.
We know that; N =No(0.5)^t/t1/2 hence, the equation that gives the amount of Fe that remains after 12 years is; F(t) =200(0.5)^12/2.7.
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Answer:
A
Step-by-step explanation:
took the test
What is the solution to the system of equations?
x-2y = 19
x + 3y = 14
(1.-17) (17.-1)
(-17, 1)
(-1.17)
Answers
Answer:
(17,-1)
Step-by-step explanation:
The solution in the image
There are 34 students and five teachers going on a trip if each ticket costs $9.50 how much money do they need to raise
Answers
what is the probability of rolling a 1 and then rolling an even number with one 6 sided die
Answers
Answer:
5/6(83.33%) I think this should be the probability of it.
What is the measure of angle D?
Enter your answer as a decimal in the box. Round only your final answer to the nearest hundredth.
Answers
Answer:
29.05°
Step-by-step explanation:
The mnemonic SOH CAH TOA is intended to remind you of the relationship between trig functions and side lengths in a right triangle. In your triangle, the sides adjacent and opposite angle D are given. The relevant relation is ...
Tan = Opposite/Adjacent
__
Using the given values, we have ...
tan(D) = (25 ft)/(45 ft) = 5/9
The value of the angle is found using the inverse tangent function.
D = arctan(5/9) ≈ 29.05°
The measure of angle D is about 29.05°.
Anna paid € 2800 for a dress. Payment was made after the price of the dress was reduced by 30%. What was the starting price?
Answers
Answer:
$4000
Step-by-step explanation:
so $2800 was the starting price
100%-30%=70%
So 2800=70%
2800/7=400
400=10%
400*10=$4000
If a = 6 and b = 5, what is the value of the following expression?
4a + b
A.
9
B.
24
C.
19
D.
29
Answers
Answer:
D. 29
Step-by-step explanation:
If a = 6 and b = 5, fill in the numbers in place of the variables (letters) in 4a + b
= 4•6 + 5
= 24 + 5
= 29
4a means 4 times a. Multiply first, and then add.
If the product of 5x+1 and 2x-3 was place in ax2+bx+c form what would the value of a+b+c equal
Answers
Answer:
Answer: 10x^2 -13x-3
Foil method
Step-by-step explanation:
I beleive its right.
At the circus, an acrobat is standing on a platform that is 27 feet from the ground when he sees a peanut on the ground below. How far is the peanut away from the base of the platform if the angle of elevation from the peanut to top of the acrobat's platform is 25°?
Answers
Answer:
The peanut is 12.59 feet away from the base of the platform.
Step-by-step explanation:
When solving these equations, we can first start out by noticing that this requires a trigonometry function.
There are three types : cos, sin, and tan. (cosine, sin, and tangent)
Cos is for finding and dealing with the adjacent and the hypotenuse.
Sin is for finding and dealing with the opposite and the hypotenuse.
Tan is for finding and dealing with the opposite and the adjacent.
The opposite is the bottom base, to the peanut.
The adjacent is the height from the bottom base, to the top.
The hypotenuse is the top, to the peanut.
27 feet would be the adjacent.
Since we don't know bottom base to the peanut, we would call this x. (opposite)
*Side note* : The degrees is always in between the adjacent and hypotenuse.
For this, we need the length between the peanut and the bottom base. This would be the adjacent and the opposite. Meaning we're using tangent. The equation for tangent is :
tan (degrees) = opposite/adjacent
So, now we simply put in the data.
tan 25 = x/27
We can now, first get x alone by multipling both sides by 27.
27 * tan 25 = x
Plug this into a scientific calculator :
27 * tan 25
We the answer to be 12.59
The peanut is 12.59 feet away from the base of the platform
which of the following is an example of exponential growth? A. y=4e^ B. y=2(0.5)^x C. y=3 (1/4) ^x D. none of these
Answers
Answer:
it's D, cause for one, on b and c, their are multiplying by fractions, their is a rule like, either divide by 2 or multiple by one half, and the first one doesn't make sense so
16.38 divided by 0.06
Answers
Answer:
273
Step-by-step explanation:
Answer: 273
Step-by-step explanation: when you divide 16.38 by 0.06 you get 273.
Evaluate the following expression with x=-6, -3(x-4)+x+1
Answers
Step-by-step explanation:
−3(x−4)+x+1
Evaluate this with x=−6
−3(−6−4)+−6+1
=25
Hey there!
Answer :[tex] \displaystyle \red{ \boxed{ \green{25}}}[/tex]
Explanation:-3(x - 4) + x + 1
>> Substitute -6 for x :
⇒ -3(-6 - 4) + (-6) + 1
⇒ -3(-10) - 6 + 1
⇒ 30 - 6 + 1
⇒ 24 + 1
⇒ 25
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please help best answer will be brainliest
Answers
Answer:
A
Step-by-step explanation:
A fireball
solutia ecuatiei 4x+12= 0 este x =
Answers
4x + 12 = 0
=> 4x = -12
=> x = -12/4
=> x = -3
Solve for the volume of the Sphere. ROUND TO THE NEAREST TENTH. 15 is the
radius.
Answers
Answer:
[tex]14137.8[/tex] to the nearest tenth
Step-by-step explanation:
write the equation of sphere volume:
[tex]\frac{4}{3} \pi r^{3}[/tex]
substitute the radius to the equation :
[tex]\frac{4}{3} \pi* 15^{3}[/tex]
solve by calculator:
[tex]\frac{4}{3} \pi* 15^{3}=14137.17\\[/tex]
≈[tex]14137.8[/tex] to the nearest tenth
Find the area of a rectangle with a length of 3 feet and a width of 2 7/8 feet
Answers
Answer:
8.625 or 8 5/8
Step-by-step explanation:
to find area you multiply length times width.
first, change 2 7/8 to an improper fraction to make multiplying easier. 2 7/8= 23/8.
then, multiply 3/1 (or 3) by 23/8. multiply across to get 69/8. Simplify the fraction to get 8 5/8 or 8.625.
5. For the past 10 days, a city planner has counted the number of
northbound cars that pass through a particular intersection During
that time, 200 or more cars were counted 9 out of 10 days.
a. What is the experimental probability that there will be 200 or more
northbound cars passing through the intersection on the eleventh day?
b. What is the experimental probability that there will not be 200 or
more northbound cars passing through the intersection on the
eleventh day?
Can someone please help I’m stuck ( and please show the work) thank you.
Answers
The number of cars was counted on 10 days and thus there were 10 trials.
# of trials=10
200 or more cars were counted on 9 of the 10 days and thus the event occurs 9 times.
# of times the event occurs= 9
The probability is the number of times the event occurs divided by the number of trials:
P ( 200 or more cars)= # of times the event occurs / # of trials
=9/10
0.9
90%
We know that the sum Of the probabilities Of an event And it’s Complement needs to be equal to 1.
P( event ) + P ( complement)= 1
What is it is “200 or more cars”
P( 200 or more cars) + P (not 200 or more cars) = 1
Since P ( 200 or more cars) = 9/10 we can replace P ( 200 or more cars) in the equation by 9/10
9/10 +P ( not 200 or more cars) =1
Subtract 9/10 from each side
-9/10= 1-9/10
Combine like terms
P( not 200 or more cars) = 1/10= 0.1 = 10%
A: 9/10 = 0.9 = 90%
B: 1/10= 0.1= 10%
The volume of this cylinder is 944.11008 cubic centimeters. What is the height?
Answers
Answer:
h = 5.80
[tex]V = \pi r^2h[/tex]
[tex]h = \frac{V}{\pi r^2} = \frac{944.11}{\pi \cdot 7.2^2} = 5.79[/tex] ≈ 5.80
Solve equation 2x+7=17
Answers
Answer: x =5
Step-by-step explanation:
subtract 7 on both sides than divide by 2
Answer:
x = 5
Step-by-step explanation:
Given: 2x + 7 = 17
1. Subtract 7 from both sides
2x + 7 - 7 = 17 - 7
2x = 10
2. Divide both sides by 2
2x ÷ 2 = 10 ÷ 2
x = 5
Final answer: x = 5
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Someone please help me!?
Answers
Answer:
rise is 11 and run is 2
Step-by-step explanation:
i believe but not fully sure
Answer:
5.5
Step-by-step explanation:
Line is passing through the points (1, 0) and (3, 11)Slope of line [tex]=\frac{11 -0}{3-1}[/tex]Slope of line [tex]=\frac{11}{2}[/tex]Slope of line [tex]=5.5[/tex]