Find all numbers that satisfy the given condition. 1. Three less than twice the sum of a number and 6 is at most 13. 2. Five less than 3 times the sum of a number and 4 is at most 10. 3. Five times the sum of a number and 3 is at least 5. 4. Three times the difference between a number and 2 is at least 12. 5. The sum of 3 times a number and 8 is between 2 and 20. 6. Eight less than twice a number is between -20 and -8. 7. Four subtracted from three times some number is between -4 and 14. 8. Nine subtracted from 5 times some number is between 1 and 11.
Number be x
#1
[tex]\\ \sf\hookrightarrow 2(x+6)-3\leqslant=13[/tex]
#2
[tex]\\ \sf\hookrightarrow 3(x+4)-5\leqslant 10[/tex]
#3
[tex]\\ \sf\hookrightarrow 5(x+3)\geqslant 5[/tex]
#4
[tex]\\ \sf\hookrightarrow 3(x-2)\leqslant 12[/tex]
#5
[tex]\\ \sf\hookrightarrow 2\leqslant 3x+8\leqslant 20[/tex]
#6
[tex]\\ \sf\hookrightarrow -20\leqslant 2x-8\leqslant -8[/tex]
#7
[tex]\\ \sf\hookrightarrow -4\leqslant 3x-4\leqslant 14[/tex]
It is estimated that world reserves of oil currently stand at 2625
billion units. Oil is currently extracted at an annual rate of 45.5
billion units and this is set to increase by 2.6% a year. After how
many years will oil reserves run out
Answer:
35.4 years
Step-by-step explanation:
The annual consumption (in billions of units) is described by the exponential function ...
f(t) = 45.5·1.026^t
The accumulated consumption is described by the integral ...
[tex]\displaystyle\int_0^t{f(x)}\,dx=45.5\int_0^t{1.026^x}\,dx=45.5\left(\dfrac{1.026^t-1}{\ln{1.026}}\right)[/tex]
We want to find t such that the value of this integral is 2625, the estimated oil reserves.
2625 = 45.5/ln(1.026)·(1.026^t -1)
2625·ln(1.026)/45.5 +1 = 1.026^t ≈ 1.480832 +1 = 1.026^t
Taking natural logs, we have ...
ln(2.480832) = t·ln(1.026)
t ≈ ln(2.480832)/ln(1.026) ≈ 35.398
After about 35.4 years, the oil reserves will run out.
The triangle and rectangle have the same perimeter.find the value of x.
Answer:
[tex]x + 5 \: + \: x \: + 6 \: + x + 7 = 2x - 1 + x + 7 + x + 7 + 2x - 1[/tex]
[tex]3x + 18 = 6x + 12[/tex]
[tex]18 = 3x + 12[/tex]
[tex]6 = 3x[/tex]
[tex]x = 6 \div 3 = 2[/tex]
[tex]x = 2[/tex]
I hope this helps you !!2 squared all divided by 4
please
Answer:
think answer is 0.5 each
The radius of a circle is 19 miles. What is the circle's circumference?
Answer:
119.32 miles
Step-by-step explanation:
radius=19 miles
circumference =2×3.14×19 miles
The circle's circumference 119.32 miles
What is circle's circumference ?Circumference of the circle or perimeter of the circle is the measurement of the boundary of the circle. Whereas the area of circle defines the region occupied by it. If we open a circle and make a straight line out of it, then its length is the circumference. It is usually measured in units, such as cm or unit m.
GIven that, radius of a circle is 19 miles
we know , circumference of circle = [tex]2\pi r[/tex]
= [tex]2\pi \cdot19[/tex]
= 38 (3.14)
= 119.32 miles
Hence, circle's circumference 119.32 miles
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How does the value of 2 dimes compare to the value of 2 dollars
Answer:
The 2 dollars has $1.80 more than the two dimes.
Step-by-step explanation:
2.00-0.20=1.80
WILL GIVE BRAINLIEST
Answer:
B
Step-by-step explanation:
PLEASE HELP WILL MARK BRAINIEST!!!!!!!!
Answer:
A.
Step-by-step explanation:
At the Shelby Ski Resort, it snowed
5 4/5 feet yesterday and 4 2/5 feet
today. How much more did it snow
yesterday than today?
Answer:
it would have snowed 1 2/5 feet more the previous day than the current day.
PLEASE HELP WILL GIVE BRAINLIEST
Answer:
Variable = 4 (1/4x) 1/Variable - 12 - 12
(Hope this helps.)
Find (fog)(x) and the domain
Answer:
(fog)(x) = 2sqrt(x) + 3
Domain: {x | x ∈ R, x>=0}
Step-by-step explanation:
(fog)(x) = f(g(x))
let f(a) = f(g(x))
f(a) = 2a+3 = 2(g(x)) + 3 = 2sqrt(x) + 3
To find domain, pick most restricting domain of the functions that make up the compound function.
Solve the equation square root of x-2+5 = 7 for the variable. Show each step of your solution process
Answer:
x=4
Step-by-step explanation:
x+3=7
subtract 3 from both sides
simplify
25. Solve for x:
4x-3/2=5/3
Answer:
X = 19/24
Step-by-step explanation:
Move the constant: 4x = 5/3 + 3/2
Add The Fractions: 5/3 + 3/2 = 19/6
Divide Both sides by 4: 4x/4 = 0. 19/6 ÷ 4 = 19/24
A rock is 7 feet below the surface of a river. If its position can be recorded as −7 feet, what would the position of 0 represent? (5 points)
Question 3 options:
1)
On the surface of the river
2)
At the bottom of the river
3)
7 feet above the surface of the river
4)
7 feet below the surface of the river
Answer:
A on the surface of the river
Step-by-step explanation:
100 persent correct
(d) Given that the fifth and the seventh terms of the G.P form the first two consecutive terms of an arithmetic sequence, calculate the sum of the first 20 terms of the sequence
Step-by-step explanation:
the answer is shown in the photo
I need help with this ASAP
Answer:
32+24=8(4+3)
20+8=4(5+2)
100+75=25(3+4)
49+28=7(7+4)
32+24=12(3+2) I don't know if this is right because 12 times 3 is 36 but that was the last option
Step-by-step explanation:
it's distributive property you multiply the numbers on the inside by the numbers on the outside.
I will mark as brainliest if answer is correct.
Which ordered pair is a solution to the system of inequalities?
y≥2x-1
y<4x
A. (2,6)
B. (3,2)
C. (3,4)
D. (2,8)
Choose the equation that is modeled by the graph below:
A - y=4x
B - y=−2.33333x+4
C - y=4x−2.33333
D - y=−42.33333x+4
Answer:
B - y=−2.33333x+4 I think
What is the recursive rule for this geometric sequence?
2, 1/2, 1/8, 1/32
Enter your answers in the boxes.
an= __ *an-1
a1=__
Answer:
an = 1/4 * an-1
a1 = 2
Step-by-step explanation:
2, 1/2, 1/8, 1/32
To find the common ratio, take the second term and divide by the first term
1/2 ÷ 2
1/2 * 1/2
1/4
The common ratio is 1/4
1/2 * 1/4 = 1/8 and 1/8 *1/4 = 1/32
The first term is a1 so a1 = 2
an = the common ratio * an-1
an = 1/4 * an-1
Answer:
Below.
Step-by-step explanation:
The common ratio = 1/2 / 2 = 1/2 * 1/2 = 1/4.
Also 1/8 / 1/2 =2/8 = 1/4 and 1/32 / 1/8 = 1/32 * 8 = 1/4
an = 1/4 * an-1 is the answer.
if your leg get cut off, where would you feel the pain if you got no leg. hehehe
Answer:
lol in your head , literally
Step-by-step explanation:
After one of your limbs is amputated, you may feel as if the limb is still there. This is called phantom sensation. You may feel: Pain in your limb even though it is physically not there.
Answer:
The nerve in your leg.
Explanation:
It's not your leg that will hurt but the nerve in your leg that'll hurt. So wherever the leg is cut, the nerves must be cut as well, but another thing is when one of your limbs is amputated, you may feel like the limb is still there. That's called phantom sensation. You might feel pain in your "limb" even though it's not physically there.
Is this relation a function?
(-1,2) (1,17) (3,-4) (1,20)
LAST ATTEMPT IM MARKING AS BRAINLIEST!! (Draw a dilation of the figure using the given scale factor )
A rectangular garden is 24 feet wide. Its length is 4 feet more than twice the width. What is the area of the garden?
Answer:
1248
Step-by-step explanation:
w = 24feet
L=2w+4feet that means L= 2*24+4 =52
aera is 24*52=1248
Use the function below to find f(-2).
f(x) = 5x
O A. -25
O B. 1/10
O c. 1/25
O D. -10
Answer: is c. 1/25
the question is a year old but thought i'd help out and answer it since i just took the test on a.pex and the only other answer to the question is wrong
The value of the function f(2) is -10.
Option D is the correct answer.
What is a function?A function has an input and an output.
A function can be one-to-one or onto one.
It simply indicated the relationships between the input and the output.
Example:
f(x) = 2x + 1
f(1) = 2 + 1 = 3
f(2) = 2 x 2 + 1 = 4 + 1 = 5
The outputs of the functions are 3 and 5
The inputs of the function are 1 and 2.
We have,
To find f(-2), we need to substitute -2 for x in the function f(x) = 5x:
So,
f(-2) = 5(-2) = -10
Therefore,
The value of the function f(2) is -10.
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Select the fraction equivalent to 0.1¯
its not 1/10
1/1
B 1/9
C 1/11
please explain why
Answer:
its 1/10
Step-by-step explanation:
You are wrong because 0.1 x 10 is 1 just like 1/10 x 10 is 1.
In trapezoid DEFG, EG = 24.3 and DH = 9.4. Identify HF.
Answer:
HF = 14.9
Step-by-step explanation:
Rewrite the quadratic function f(2) = 5x2 + 10x – 8 in standard form, f(x) = a (x – h)? + k, and give the vertex.
Answer: [tex]f(x) = 5(x+1)^{2} - 13[/tex]
Vertex = (-1, -13)
Step-by-step explanation:
[tex]f(x) = 5x^{2} + 10x - 8\\f(x) = 5(x^{2}+2x)-8\\f(x) = 5(x^{2}+2x+1-1)-8\\f(x) = 5((x+1)^{2}-1)-8\\f(x) = 5(x+1)^{2}-5-8\\f(x) = 5(x+1)^{2}-13[/tex]
Vertex = (h, k) = (-1, -13)
A jar contains black marbles and green marbles. Sixty percent of the marbles in the jar are green. A number generator simulates randomly selecting 10 marbles from the jar. The number generator is used 12 times and the number of green marbles in each trial is shown in the dot plot.
Which description is correct about the number generator being fair or not?
The number generator is not fair. The dot plot shows 80% of the marbles drawn are green.
The number generator is fair. The dot plot shows a distribution that is skewed right.
The number generator is not fair. In most of the experiments, considerably less than 60% of the selected marbles are green.
The number generator is fair. It shows that 60% of the marbles selected are green most of the time.
Answer:
The number generator is not fair. In most of the experiments, considerably less than 60% of the selected marbles are green.
Step-by-step explanation:
Run a significant number of times, a fair distribution should be a bell curve centered on the 6 for 60%
Evaluate the expression for m = 45.
m|
54
Submit
[tex]|m| -54\\\\\text{When}~ m=45,\\\\|45| -54 = 45 -54 = -9[/tex]
[tex]\huge\textbf{Hey there!}\\\\\\\\\\\\\\\huge\boxed{\mathbf{|m| - 54 = }}\\\huge\boxed{\rightarrow \mathbf{|45| - 54 = }}\\\huge\boxed{\mathbf{\rightarrow 45 - 54}}\\\\\huge\text{Start at 45 and go back 54 to the left.}\\\huge\text{You should be left on \boxed{\bf -9}}\\\\\\\huge\textbf{Therefore, your answer is: \boxed{\mathsf{-9}}}\checkmark\\\\\\\\\\\\\\\huge\textbf{Good luck on your assignment \& enjoy}\\\huge\textbf{your day!}\\\\\\\\\\\\\\\frak{Amphitrite1040:)}[/tex]
Express 972 in the exponential from using prime factors
[tex]972 = 4 \times 243 = 2^2 \times 3^5[/tex]