The solution to the given inequality is: (-∞, -7/3) ∪ (20, ∞).
How to solve a compound inequality involving the or operation?
To solve a compound inequality involving the op operation, we solve each inequality, then find the union of these solutions.
The first inequality for this problem is:
9g - 6 > 12g + 1
-3g > 7
3g < -7
g < -7/3.
The second inequality for this problem is:
-2/5g + 8 < 4
-2/5g < -4
2/5g > 4
2g > 20
g > 20
Hence the solution is:
(-∞, -7/3) ∪ (20, ∞).
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A van got stalled in front of your house. The driver asked barangay officials to help him push the van to get moving. They used a total force of 1,200 newtons. After pushing the Van for 15 minutes, they were able to move the van 150 meters away from your house.
How much power did the volinteers use to pushe the van?
It should be noted that the power that the volunteers use to pushe the van is 200 watts.
How to calculate the power?From the information, they used a total force of 1,200 newtons and ater pushing the Van for 15 minutes, they were able to move the van 150 meters away from your house.
It should be noted that power is calculated as:
Power = Force × Displacement / Time
Force = 1200 Newton
Displacement = 150 meters
Time = 15 minutes = 15 × 60 = 900 seconds.
Therefore, the power that the volunteers use to pushe the van is:
Power = Force × Displacement / Time
=(1200 × 150) / 900
= 200 Watt.
Therefore, it should be noted that the power that the volunteers use to pushe the van is 200 watts.
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876,302 to the nearest 10,000
Answer:
Simple answer: 880,302
Step-by-step explanation:
Rule is if the number before the number your rounding is above 4 then it should round up
if its lower than 4 the number your rounding stays as is and the number before it goes down to 0
Robert can complete 10 inspections in 8 hours. Which represents the unit rate for the number of inspections he completes per hour?
Answer: 5 inspections in 4 hours, because if its 8 hours it would be 10 inspections
Step-by-step explanation:
Answer:
1.25
Step-by-step explanation:
10 ÷ 8 = 1.25
Given △ABC with vertices A(2, 3), B(4, 8), and C(7, 1).
Find the perimeter of △ABC.
none of the above
Answer:
Step-by-step explanation: explanation to the question: so you take the numbers 2,3 4,8 and 7,1 and we calculate the answer it would be look above for the answer.
p.s sometimes the number doesn't show up on the answer part so I'm gonna say it here to it is .
Answer:
2√(29)+√(58)
Step-by-step explanation:
You can use distance formula
A rainwater collection tank contained 40 inches of water. After 4 days of rain, the level had risen to 52 inches. Let r represent the rate of rainfall each day. Determine the equation that represents this situation.
Answer:
40 + r = 52 is the answer and the answer to y is 12
Step-by-step explanation:
Im Glad I could help!
Answer:
B: 40 = 52 + 4r
Step-by-step explanation:
It's right I just did it.
What is the transformation
Answer:
moving your shape left, right, up, or down a number of units
Step-by-step explanation:
There are 20 students in Mrs. Tanya's class and 24 kids in Mrs. Olga's class. The students need to be placed on teams of equal size with students from only their own class. What's the largest size of a team?
The largest size of a team according to the task content is; 20 kids.
What is the largest size of a team?It follows from the task content that the population is; 20 students in Mrs. Tanya's class and 24 kids in Mrs. Olga's class.
However, since, the team forming condition states that students be placed on teams of equal size with students from only their own class.
It therefore follows that the largest size of a team is 20 as only 20 students are in Mrs. Tanya's class hence leaving 4 kids in Mrs. Olga's class without a team.
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what is the perimeter of the following shapes
(a) 1.4 cm 0.7 cm 0.7 cm
The perimeter of each shape is obtained adding all of their outer side lengths.
How to obtain the perimeter of the polygon?The perimeter of a polygon is composed by the sum of the lengths of the outer edges of the figure.
Hence, for each polygon, you must identify the outer side lengths, and then add them.
Missing InformationThe problem is incomplete, hence the standard procedure to find the polygon of a shape was presented.
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A ship is anchored off a long straight shoreline that runs north and south. From two observation points
miles apart on shore, the bearings of the ship are
and
. What is the distance from the ship to each of the observation points? Round each answer to the nearest tenth of a mile.
The distance from the north most ship to the observation is
miles.
The distance from the south most ship to the observation is
miles.
The distance from the north most ship to the observation is 2.9 miles and the distance from the south most ship to the observation is 9.9 miles.
The bearing is defined as the angle measured clockwise from the north direction. A ship is anchored off a long straight shoreline that runs north and south.
From two observation points miles apart on shore, the bearings of the ship are 52 degrees and 134 degrees respectively. To find the distance from the ship to each of the observation points, we can use trigonometry.
Let's call the distance from the north observation point to the ship x, and the distance from the south observation point to the ship y. The bearings from the north and south observation points can be drawn as follows:
[asy]
unitsize(1cm);
pair O = (0,0), N = (-2,0), S = (2,0), A = (-2,1), B = (2,-1);
draw(O--N--A,Arrow);
draw(O--S--B,Arrow);
\(label("$52^\circ$", N + 0.3*dir(52), NE);\)
\(label("$134^\circ$", S + 0.3*dir(134), SE);\)
draw(O--A--B--cycle,dashed);
\(label("$x$", (N+A)/2, W);\)
\(label("$y$", (S+B)/2, E);\)
[/asy]
We can use the tangent function to find x and y, since we have the angle and opposite side.
From the north observation point, we have:
\($$\tan(52^\circ) = \frac{x}{2}$$$$x = 2\tan(52^\circ) \approx 2.95$$\)
From the south observation point, we have:
\($$\tan(134^\circ) = \frac{y}{2}$$$$y = 2\tan(134^\circ) \approx 9.88$$\)
Therefore, the distance from the north most ship to the observation is 2.9 miles and the distance from the south most ship to the observation is 9.9 miles.
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A 13 km 13km13, start text, k, m, end text stretch of road needs repairs. Workers can repair 3 1 2 km 3 2 1 km3, start fraction, 1, divided by, 2, end fraction, start text, k, m, end text of road per week. How many weeks will it take to repair this stretch of road?
you can start by dividing the total length of the road by the distance that can be repaired per week:
13 km ÷ 3 1/2 km/week = 3.71 weeks
Rounding up, it will take 4 weeks to repair the entire 13 km stretch of road.
here's the question ...........
Answer:
x intercept -7 and y intercept is 9
What is the length of BD?
Answer:
D stays for 1 and as B is -6
the length of BD should be 7
good luck <3!
I need helppppp, Pls :((((
9, your graph is going up by 2 per box. so half a box is just 1.
ΔOPQ, p = 3.4 cm, q = 3.2 cm and ∠O=99°. Find the area of ΔOPQ, to the nearest 10th of a square centimeter
Answer:5.4
Delta math
Use each picture or description of a triangle, write and solve an equation in order to find the number of degrees in each angle
Answer:
4x + 7x - 2 + 5x - 10 = 180
16x - 12 = 180
16x = 192
x = 12
m<A= 4x = 4(12) = 48
m<B = 7x - 2 = 7(12) - 2 = 84 - 2 = 82
m<C = 5x - 10 = 5(12) - 10 = 60 - 10 = 50
Step-by-step explanation:
.
Help me please in need of it
Answer:
-2
Step-by-step explanation:
Substituting the points (0,2) and (1,0) into the slope formula, \(m=\frac{2-0}{0-1}=-2\).
pls make sure to round to nearest cent is necessary
what decimal is equivalent to 0.85
Answer: 17/20
Step-by-step explanation:
0.85 = 85/100 = 17/20
The number 0.85 can be written using the fraction 85/100 which is equal to 17/20 when reduced to lowest terms.
2+2=
a. 3
b. 5
c. 4
d. 7
Answer:
C
Step-by-step explanation:
2
+2
-----
4
A square picture frame with each side length represented by 3x -
5 has a perimeter of 52 inches. Which equation models this situation?
A. 3x - 5 + 4 = 52
B. 3x - 5 = 52
C. 4(3x + 5) = 52
D. 4(3x - 5) = 52
Answer:
D. 4(3x-5) = 52
Step-by-step explanation:
52 is equal the sum of one side multiplied by 4
So
4(3x-5) = 52
Is the right answer
Solve equation
17x-(2x-4)=79
Your conclusion would equal
x = 5
Which expression is equivalent to the expression –6.4 – 12 + 4.6?
The answer is -13.8.
Hope this helps!
Please help! Brainiest will be given for correct answers only.
Answer:
see below
Step-by-step explanation:
x^2 + 10x+25 =0
This is the sum of squares
(x+5)^2 =0
x = -5 one solution
x^2 +5x = 0
x(x+5) = 0
x=0 x=-5 two solutions
x^2 -10x +25 = 0
This is the difference of squares
(x-5)^2 = 0
x=5 one solution
x^2 -25 =0
x^2 = 25
x = ±5 two solutions
\(\boxed{\large{\bold{\textbf{\textsf{{\color{blue}{Answer}}}}}}:)}\)
\( x^2+10x+25=0\\\\(x)^2+2.x.5+(5)^2\\\\(x+5)^2 \)
one solution\(x^2+5x=0\\\\x(x+5)=0\\\\x=0,x+5=0 \)
two solution\(x^2-10x+25=0\\\\(x)^2-2.x.5+(5)^2\\\\(x-5)^2\)
one solution\(x^2-25=0\\\\x^2=25\\\\x= \binom{ + }{ - }5 \)
two solutionAdd. 5.6+(−2.8)+(−2.3) Enter your answer in the box.
Answer:
0.5
Step-by-step explanation:
5.6-2.8=2.8
2.8-2.3=0.5
Answer:
0.5
Step-by-step explanation:
5.6+(-2.8)+(-2.3)
____________
0.5
What is the 100th term of the sequence if the first term is 5
and the common difference is 2?
Answer:
505
Step-by-step explanation:
sn=2a+(n-1)d
2*5+(100-1)5
10+(99)5
505
If sin(x) = -1/3 and cos(x) > 0, what is tan(2x)?
Answer:
a
Step-by-step explanation:
just took it on edg
If the value of x is 199.47°. Then the value of tan (2x) will be 0.808.
What is trigonometry?The connection between the lengths and angles of a triangular shape is the subject of trigonometry.
If sin (x) = -1/3
Then the value of x will be
x = sin⁻¹(-1/3)
x = -19.47°, 199.47°, ….
If the value of x is 199.47°. Then the cos x will be positive.
Then the value of tan (2x) will be
tan 2x = tan (2 x 199.47)
tan 2x = tan (398.94)
tan 2x = 0.808
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An online furniture store sells chairs for $150 each and tables for $450 each. Every day, the store can ship a maximum of 16 pieces of furniture and must sell at least $3900 worth of chairs and tables. If xx represents the number of tables sold and yy represents the number of chairs sold, write and solve a system of inequalities graphically and determine one possible solution.
Answer:
Required inequalities:
x + y ≤ 16150x + 450y ≥ 3900The graph is attached.
The darker triangle is the solution region.
The solution examples:
(1, 15), (4,12), (5, 10), (11, 5)The first number is chairs, the second number is tables25 less than 4 times a number is 63. What is the number?
The number is 22
What is a number?
A number is a mathematical entity that may be used to count, measure, and name things. The natural numbers 1, 2, 3, 4, and so on are the original instances. Number words can be used to represent numbers in language. Individual numbers can be represented more generically by symbols known as numerals; for example, "5" is a numeral that represents the number five. Because only a small number of symbols can be memorized, fundamental numerals are often structured in a numeral system, which is a systematic method of representing any number. The most prevalent numeral system is the Hindu-Arabic numeral system, which allows any number to be represented using a combination of 10 fundamental numeric symbols known as digits.
4n - 25 = 63
or, 4n = 63 + 25
or, n = 88/4 = 22
Hence, the number is 22
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what is 3/5 divided by 6/7 in KCF
Charlie has 5/6 pounds of dog food. She wants to put equal portions into 3 bowls how much food will go into each bowl?