can you help me solve each compound inequality and graph it's solution? 2 and 4 please and thank you
[tex]\dfrac{k}{4}\geq1\qquad|\cdot4\\\\k\geq4\\\\\dfrac{k}{3}\leq-1\qquad|\cdot3\\\\k\leq-3\\\\k\leq-1\ or\ k\geq4[/tex]
[tex]6\leq x+6\leq11\qquad|-6\\\\0\leq x\leq5[/tex]
Express the following as the difference of two squares
(7a+2)(7a-2)=
(7a+2)(7a-2)
= (7a)^2 - (2)^2
= 49a^2 - 4
A rope is used to anchor a boat to the shore. The angle of depression from the boat to the water is 40° . The height of the boat above the water is 25.17 feet. What is the length of the rope that is anchoring the boat to the shore?
Final answer:
To find the length of the rope anchoring the boat to the shore, use the tangent function with the angle of depression and the height of the boat above the water.
Explanation:
To find the length of the rope anchoring the boat to the shore, we can use trigonometry. The angle of depression from the boat to the water is 40° and the height of the boat above the water is 25.17 feet. We can use the tangent function to find the length of the rope. tan(40°) = opposite/adjacent. The height of the boat above the water is the opposite side and the length of the rope is the adjacent side. So, we have:
tan(40°) = 25.17/adjacent
Solving for the adjacent side, we get:
adjacent = 25.17 / tan(40°)
Using a calculator, we can evaluate this expression to find that the length of the rope is approximately 33.95 feet.
Solve for v in terms of s, t, an u. U=tsv
Final answer:
To solve for velocity v in the provided equation U=tsv, divide both sides by ts to isolate v, resulting in v = U / (ts).
Explanation:
Solving for v in Terms of s, t, and u:
To solve for v in terms of s, t, and u given the equation U=tsv, we can rearrange the equation to isolate v. We start by dividing both sides of the equation by ts, which results in:
v = U / (ts)
This equation shows that the velocity v can be calculated if we know the initial velocity u, the time t, and the displacement s.
It's not B or C and can you explain the work please and thanks
The temperature at the start (2:00 AM) is -6°C
It furthered decreased by 8°C
-6 - 8 = -14
(B) -14°C is your answer
~Senpai
a value bag of dog food is 40 Ibs. martys dog eats 1 Ib. of food per day. if the bag of dog food cost 29.99, what is the approximate cost per day.
About 1.3 pouds per day
To find this answer, you divide 29.99 by 40 and get 0.74975, which you round off to $0.75 for this question, hope it helped! <3
(02.01)Polygon ABCD slides 4 units left and 3 units up on the coordinate plane. If the original measure of angle A was 75 degrees, what is the measure of angle A'?
Answer:
Option A. 75 Degrees
Step-by-step explanation:
which decimal represents the shaded portion
0.003
0.03
0.3
3.0
Answer: 0.03
Step-by-step explanation: I got it right
which graph shows the solution to the following inequality? 4d-6<18
Answer: C
Step-by-step explanation:
4d - 6 < 18
+6 +6
4d < 24
[tex]\frac{4d}{4} < \frac{24}{4}[/tex]
d < 6
Graph: ←----------------o 6
Answer:
option (c) is correct.
d < 6
On number line this is shown as attached below.
Step-by-step explanation:
Given inequality 4d - 6 < 18
We have to plot the inequality and check out of given graph which graph satisfies the Given inequality 4d - 6 < 18
Consider the given inequality 4d - 6 < 18
Add 6 both sides, we have,
4d - 6 + 6 < 18 + 6
Simplify we get,
4d < 24
Now, divide both side by 4, we have,
[tex]\frac{4d}{4}<\frac{24}{4}[/tex]
Simplify , we have,
d < 6
On number line this is shown as attached below.
Thus, option (c) is correct.
What is the distance between the points (−3, 5) and (−3, −6) ?
1 unit
5 units
6 units
11 units
the answer is 11 units go -5,-4 -3 -2 -1 0 1 2 3 4 5 that means its 11 units
The distance between the points (−3, 5) and (−3, −6) is 11 units.
What is distance between points?Distance between two points is the length of the line segment that connects the two given points.
Given are two points, (−3, 5) and (−3, −6)
We know, distance between two points are
= √(x2-x1)²+(y2-y1)²
= √(-3+3)² + (-6-5)²
= √121 = 11
Hence, The distance between the points (−3, 5) and (−3, −6) is 11 units.
For more references on distance between the points, click;
https://brainly.com/question/15958176
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Give one example of when you would make a frequency table to solve the problem
Answer:
Consider a class in which there are 40 students .There is a Mathematics test of 50 marks .Two students were absent.The Duration of test was for one and half an hour.
So Marks of students according to their roll number are 12,8,4,20,25,36,2,29,35,39,5,48,43,37,38,29,17,15,15,25,31,32,26,28,27,24,2,15,34,,50,46,48,37,28,26,45,49,24.
So in this case it would be better to prepare frequency polygon by selecting a class interval.
Class interval = 0-5,5-10,10-15,15-20,20-25,25-30,30-35,35-40,40-45,45-50.
Or 0-10,10-20,20-30,30-40,40-50.
or you can make class interval by yourself.
the height of a right cylinder is 3 times the radius of the base. The volume of the cylinder is 24 cubic units
Let the radius of the base be r units
Then the height will be 3r units
Volume of cylinder = pi r^2 h
24=pi r^2 × 3r
Pir^3 = 24/3
Pi r ^3 =8
r^3 = 8/pi
R = 2 / pi^1/3
Height = 6/pi^1/3
Using the information in the table, how many milliliters are in 7 kiloliters?
The correct answer is 7e+6 or in other words 7000000
A patient in the emergency room is monitored for heart rate, oxygenation level, etc. The nurse notices that the heart beat averages 80 but drops to 60 beats every other minute and then spikes to 120. The cardiologists have asked the nurses to notify them if this happens, as that pattern is indicative of heart attacks. The nurse calls the doctor.
Is the nurse using inductive or deductive reasoning?
If f(x) = 3x^2 – 2x + 4 and g(x) = 5x^2 + 6x – 8, find (f - g)(x).
Answer:
[tex]-2x^2-8x+12[/tex]
Step-by-step explanation:
[tex]f-g=(3x^2-2x+4)-(5x^2+6x-8)=3x^2-2x+4-5x^2-6x+8=\\ =-2x^2-8x+12[/tex]
(f-g)(x)=f(x)-g(x)
=((3x^2)-2x+4)-((5x^2)+6x-8)
=(-2x^2)-8x+12
The answer is -2x^2 -8x+12. I hope this helps.
Find the slope of a mountain that descends 100 meters for every horizontal distance of 1,000 meters.
We are given: a mountain descends (getting down vertically) = 100 meter.
For getting down we would take it by a negative number so it would be -100 meter.
And every horizontal distance = 1,000 meter.
We know formula for slope is = Change in vertical distance/ Change in Horizontal distance.
Plugging values in formula of slope above, we get
Slope = -100/1000 = -1/10 or -0.1.
Therefore, we could say the slope of a mountain is [tex]-\frac{1}{10}\ or \ -0.1.[/tex]
13 6 1. 3x − 3 4 = 13 6 2. 3x − 3 4 + 3 4 = 13 6 + 3 4 3. 3x = 26 12 + 9 12 4. 3x = 35 12 5. ( 3 1 ) 3 1 x = 35 12 ( 3 1 ) 6. x = 105 12 In which step did Jerry make an error?
Answer:
The answer is: d) in step 5 he should have multipled both sides by 1/3.
Answer:
D
Step-by-step explanation:
The legs of a right triangle measure 5 inches and 7 inches. If theta is the angle between the 7 inch leg and the hypotenuse, sin theta = ___
Answer:
sin (θ) = 0,58
Step-by-step explanation:
The formula for sin (θ) is:
sin (θ) = (opposite side)/hypotenuse
The opposite side to the θ angle is the one that measures 5 inches, but we don’t know the measure of the hypotenuse. The Pythagoras theorem gives us the following formula:
side 1²+ side 2²= hypotenuse²
Then,
5²+7²=74
√74= 8,60 inches; this is the measure for the hypotenuse.
Replacing this value in the formula for sine:
sin (θ) = 5/8,60 = 0,58
What is the answer for (-6)(-3) can you you please walk me through it then answer. I think it’s 2 -2 -18 or 18 please help me!
When you Multiply Two Negative numbers you will get a Positive Number When you Multiply Two Positive Numbers You get a Positive number, but when you multiply a Positive to a Negative you get a Negative Number. Hope this Helps ( The answer is 18)
Can 15 over 240 be simplified
Answer:
yes 1/16
Step-by-step explanation:
determine the tax if a flat tax of 15% is applied to an income of $400,000.
Hey there!
Let's start by simply finding 1% of $400,000.
To do this we can divide by 100, since 1% is the same thing as 1/100.
400,000 ÷ 100 = 4,000
Next, we can multiply 4,000 by 15, because 4,000 is 1% and we are looking for 15%.
4,000 x 15 = 60,000
This means the tax is $60,000.
Hope this helps!
Divide. 110 ÷ (−5)
A:−22
B:−5
C:5
D:22
The answer is -22. :P
[tex]\mathrm{Apply\:the\:fraction\:rule}:\quad \frac{a}{-b}=-\frac{a}{b},=-\frac{110}{5}[/tex]
[tex]\mathrm{Divide\:the\:numbers:}\:\frac{110}{5}=22[/tex]
The Correct Answer Is A.−22
Hope This Helps!!!
I don't want the answer, I just need an explanation. I don't understand what this means.
[tex]\bf \textit{volume of a cone}\\\\V=\cfrac{\pi r^2h}{3}~~\begin{cases}r=radius\\h=height\\\end{cases}\implies 3V=\pi r^2 h\implies \cfrac{3V}{\pi r^2}=h\\\\\\[-0.35em]\\\rule{34em}{0.25pt}\\\\\begin{cases}V=120\pi \\r=6\\\end{cases}\implies \cfrac{3(120\pi )}{\pi 6^2}=h\implies \cfrac{360\pi }{36\pi }=r\implies 10=r[/tex]
Juan y Marta tienen que hacer un trabajo de 24 páginas. Juan hace 1/3 del trabajo y Marta 1/2. ¿Cuántas páginas ha hecho cada uno?
Tenemos.
Total paginas = 24
Lo que hace Marta = 24/2 = 12
Mara hace 12 paginas
Lo que hace Juan = = 24/3 = 8
Lo que hace Juan es 8 paginas
La fraccion de lo que hizo Marta
12/24 = 1/2
La fraccion de lo que hizo Juan = 8/24 = 1/3
La fraccion de lo que hicieron los 2:
1/2 + 1/3 =
3/6 + 2/6 =
(3 + 2)/6 =
5/6
Lo que hicieron los 2 es 5/6 de 24
Les queda por hacer.
1 - 5/6 =
6/6 - 5/6 =
(6 - 5)/6 =
1/6
Les falta por hacer 1/6 de 24
Las pagina que quedan por hacer son:
24 - 12 - 8 = 4
Faltan por hacer 4 paginas
What are the subsets of red blue and yellow
green orange and purple
I need help on numbers 8,10, and 12
8. 40%
10. 192
12. 0.04
Ill give brainliest! if you answer this math question
- 5/6
Negative five sixths
Hope it helps ❤️
3x3x3x3x3x3= 729? dose it equal this:729?
Yes, this does equal 729.
Yes, you are correct. Just checked the calculator. Have a nice rest of your day
patrick was born with 1\7 of his faults and acquired the rest during his teenage years. if he was born with 326 faults, how many does he have total?
Answer:
i think it is 2,282
Step-by-step explanation:
break it down 300 x 7 is 2,100 20 x 7 is 140 and 7 x6 is 42
addit together and you have your answer
Answer: 2282
Step-by-step explanation:
To get the answer, first we make an equation.
Lets use f for faults.
So we know that Patrick was born with 326 faults. He had 1/7 the number of faults he has now when he was born. The question is asking how many faults he has in total. Now we can set up our equation.
326 = 1/7f
326 is on the left of the equal sign because 326 is equal to 1/7 the number of faults he has now. Next, because 1/7 is 1 divided by 7, we multiply 1/7f by 7. We get 1f or f because there is only 1 f. But what we do to one side we must do to the other. So when we multiply 7 to 1/7f we also multiply 7 to 326. This is our answer:
2282 = f
what's the answer to 56.5 × 3?
The answer is 169.5 because you multiply
I WILL MARK YOU THE BRAINLIEST IF YOU ANSWER QUICKLY AND CORRECTLY
The amount of money that Mary earns varies directly with the number of hours worked. If Mary earns $320 for working 40 hours, determine the constant of variation.
A) 6
Eliminate
B) 7
C) 8
D) 9
8
Because it is most likely to be 8
If you divide $320 by 40 your answer is 8, so Mary probably earns 8 dollars an hour.