Answer:
Round to the nearest thousand.
5,568
= 5,000
Round to the nearest thousand
5,568
= 5,000
When a new cellphone is put on the market, the demand each month can be described by the function C of t is equal to negative square root of the quantity t squared plus 4 times t minus 12 end quantity plus 3 where C (t) represents the demand of the cellphone (measured in millions of people) and the time, t, is measured in months. Which of the following solution(s) are valid for a positive demand?
A function is positive where it is above the x-axis
The valid solution for positive demand are; t = 3, and t = 2
The reason the above values are correct is as follows:
Known parameters:
The given function of the demand is; [tex]C(t) = \mathbf{ -\sqrt{t^2 + 4 \times t - 12} +3}[/tex]
Where;
C(t) = The demand of the cellphone (in millions of people)
t = The number of months
The condition positive demand is C(t) ≥ 0
Therefore;
[tex]-\sqrt{t^2 + 4 \times t - 12} +3 \geq 0[/tex]
[tex]-\sqrt{t^2 + 4 \times t - 12} \geq -3[/tex]
[tex]\sqrt{t^2 + 4 \times t - 12} \leq 3[/tex]
t² + 4·t - 12 ≤ 9
t² + 4·t - 12 - 9 ≤ 0
t² + 4·t - 21 ≤ 0
(t - 3) × (t + 7) ≤ 0
∴ t ≤ 3, or t ≥ -7
At t = 2 < 3, we have;
C(2) = -√(2² + 4×2 - 12) + 3 = 3
At t = 1 < 3, the function is; C(1) = -√(1² + 4×1 - 12) + 3 (Is undefined)
Therefore, the valid solution for positive demand are;
t = 3, and t = 2
Learn more about the functions here:
https://brainly.com/question/24249596
Answer:
3,3
Step-by-step explanation:
An expression is shown below.
6ab^2 + 9a^2b
Which of the following shows an equivalent expression?
Answer:
C. 3ab ( 2b + 3a )
Step-by-step explanation:
substitution
Hi! I'm happy to help!
To first solve this, Let's see if we can simplify our expressions using the order of operations: our original expression cannot be simplified. The first expression cannot be simplified. The second expression we can multiply the outside by the parenthesis by the inside, same with the third and fourth.
(make sure everything outside of the parenthesis is being multiplied by each part inside of the parenthesis)
9a²b²
9a²b²
3ab(3b+2a)
ab(9b+6a)
b(9ab+6a²)
9ab²+6a²b
3ab(2b+3a)
ab(6b+9a)
b(6ab+9a²)
6ab²+9a²b
3a²b²(2b+3a)
a²b²(6b+9a)
b²(6a²b+9a³)
6a²b³+9a³b²
Now that we have all expressions fully simplified, let's compare to see which one matches.
Our first expression is nowhere close to what our original expression is, 1 is incorrect.
Our second expression is close, but it has the 9 and the 6 flipped, even if we rearrange the expression like this, 6a²b+9ab², it still doesn't match, so 2 is also incorrect.
Our third expression has the correct numbers, variables, placement, and exponents, so 3 is correct.
Our fourth expression has incorrect exponents, the expression made every variable multiplied by ab an extra time, so 4 is incorrect.
In summary, you should pick number 3, because it is equivalent.
I hope this was helpful, keep learning! :D
A=1/2 h (b+c) solve for b
Hi ;-)
[tex]A=\frac{1}{2}h(b+c) \ \ /\cdot2\\\\h(b+c)=2A \ \ /:h; \ h\neq0\\\\b+c=\frac{2A}{h} \ \ /-c\\\\\boxed{b=\frac{2A}{h}-c}[/tex]
Answer:
[tex]a = \frac{1}{2} h(b + c) \\ \frac{2a}{h} = b + c \\ \frac{2a}{h} - c = b \\ thank \: you[/tex]
21. A triangle has base 4.6 ft and
height 18 in. Find its area.
Answer:
Answer is 41.4 ft
Step-by-step explanation:
formula for triangle is 1/2 base x height
1/2x4.6x18
=4.6x9
=41.4
so the area = 41.4 ft
A cell phone tower casts an 80-foot shadow. At the same time, a 6-foot fence
post casts a shadow of 4 feet. What is the height of the tower?
The height of the tower is 120 feet
How to determine the height of the tower?The given parameters can be represented using the following ratio
Ratio = Height : Shadow
So, we have:
Tower : 80 ft = 6 ft : 4 ft
Express as fraction
Tower/80 = 6/4
Multiply both sides by 80
Tower = 120 feet
Hence, the height of the tower is 120 feet
Read more about equivalent ratio at:
https://brainly.com/question/2328454
#SPJ1
The radius of the earth is about 4,000 miles. A) what is the approximate diameter of the earth? b) what is the approximate distance around the earth at the equator?
A) diameter = radius x 2
Diameter = 4,000 miles x 2 = 8,000 miles
B) distance around the Earth is the circumference.
Circumference = pi x diameter
Circumference = 3.14 x 8,000 = 25,120 miles
what property is being used in 2a+5a=(2+5)a
Answer:
distributive property
Marley made three full pitchers of lemonade. Eachpitcher holds exactly five cups of liquid. How many ounces of lemonade did Marley make?
Answer:
120 fluid ounces
Step-by-step explanation:
1 cup = 8 fluid oz
Multiply 15 on both sides (since there is 3 pitchers and each is 5 cups, so 3 * 5 = 15 cups in total for all 3 pitchers) and we get 15 cups = 120 fluid oz.
So that's our answer
Hope this helped!
[I know this is a bit rude asking, but can I please have a Brainliest?]
>
→
PQ and RS are in the same plane and do not intersect. What geometric term describes PQ and RS?
perpendicular lines
complementary lines
skew lines
parallel lines
Answer:
Parallel lines
Step-by-step explanation:
While playing an online game, Reece scored 48
points. But then, lost 19 points in each of the next
two rounds. How many points does Reece have
now?
Answer:
48-(19×2)
=48-38
=10
Reece has 10 points
Answer:
Reece now has 10 points.
Step-by-step explanation:
19 x 2 = 38, 48 - 38 = 10.
Please help me if I don't get this done imma fail
Answer:
as mentioned
JT=3x+5--------> (1)
CT=69----------> (2)
CJ=4x+8-------> (3)
Now,
JT=CT-CJ
3x+5 = 69 - (4x+8)
3x+5=69-4x-8
3x+5=61-4x
taking variables to one side.
3x+4x = 61-5
7x = 56
x = 56/7
x=8
put value of x in (1)
JT=3(8) + 5
JT= 24+5
JT=29
Step-by-step explanation:
Answer:
Kayleigh Did u at least try Before u asked for help because u do know that u can always retake it multiple time I know because I have all 3 boxes filled in purple from just retaking it after I studied the answer.
Step-by-step explanation:
So first just try doing it and then retaking it.
Please help
I’ll give brain-lest
I promise
Answer:
x = 12
Step-by-step explanation:
27 + 3x - 1 = 5x + 2
27 + (3x - 3x) - 1 = (5x - 3x) + 2
27 - 1 = 2x + 2
26 = 2x + 2
(26 - 2) = 2x (+ 2 - 2)
24 = 2x
24/2 = 2x/2
12 = x
x = 12
9.376 9.18 9.51 9.3 in order
Answer:
1. 9.18
2. 9.3
3. 9.376
4. 9.51
Step-by-step explanation:
what is the solution to the compound inequality in interval notation
Answer:
First choice is the right answer (-∞, -9] or (2, ∞)
Step-by-step explanation:
I. Solve 1st problem 2(2x - 1) > 6
4x-2 > 6
4x > 6+2
x > 2
II. Solve 2nd problem x + 3 <= -6
x <= -6-3
x <= -9
III. Prove the answer
if x > 2 then x = 3
2( 2(3)-1 ) > 6
2(5) > 6
10 > 6 so the answer is true
if x <= -9 then x = -9
-9 + 3 <= -6
-6 <= -6 so the answer is true
Hope that help :D
Where is the blue dot on the number line?
-1.05
-1.1
-1.15
Answer:
-1.13
Step-by-step explanation:
Each space or unit in the number line is equidistant to 0.01.
Answer:
-1.13
Step-by-step explanation:
you can count the units from -1.1 and you will find out this
its the correct answer
You can even add 2 units from -1.1
-1.1 can also be written as -1.11
so -1.11 + 2
= -1.13
-6, 20, 4.3, -59/-9
Order from least to greatest
Tomas works as an underwater photographer. He starts at a position that is 19 feet below sea level. He rises 8 feet, then descends 18 feet to take a photo of a coral reef. Enter an expression to find his position relative to sea level when he took the photo and then evaluate the expression.
Answer:
-19 + 8 - 18 = -29
he is 29 feet below sea level when he takes the photo
Step-by-step explanation:
Determine the largest integer value of xx in the solution of the following inequality.[tex]2x-2\leq 11[/tex]
Answer:
6
Step-by-step explanation:
Add 2 to both sides, then divide both sides by 2.
[tex]2x \leq 13 \\x \leq 13/2[/tex]
x is less than or equal to 13/2, So the largest value is 13/2, or 6.5. Meaning the largest integer value is 6
Graph the line that passes through the points (-4, -6) and (-2, -7) and
determine the equation of the line.
143153363335
Answer:
y = -1/2x - 8
Step-by-step explanation:
Slope: ( -7 - - 6 )/(-2 - - 4) = (-7+6)/(-2+4) = -1/2
Point : (-4,-6)
y - - 6 = - 1/2(x - - 4)
y+6= - 1/2(x+4)
y+6= - 1/2x - 2
y = - 1/2x -2 -8
y = -1/2x - 8
Find the distance between the points.
(9.7, -2.1), (-3.2, 8.1)
PLEASE HELP I NEED HELP!!!!!! 30 POINTS
Figure B is a scaled copy of Figure A.
What is the scale factor from Figure A to figure B?
Answer:
1/3
Step-by-step explanation:
The left side of Figure A is 6 units long
The left side of Figure B is 2 units long
6 * what = 2
Divide each side by 6
what = 2/6
what = 1/3
The scale factor is 1/3
Answer:
[tex]\frac{1}{3}[/tex]
Step-by-step explanation:
Figure A has a base of [tex]6[/tex] units.
Figure B has a base of [tex]2[/tex] units.
So, 6 * [tex]x[/tex] (the scaled factor) = 2 which simplified is [tex]6x=2[/tex].
Now, we divide 6 on both sides giving us [tex]x = \frac{2}{6}[/tex] which can be further simplified into [tex]\frac{1}{3}[/tex]
find the distance between two points: (2,3) (-5,8)
Answer:
distance formula attached...
it's approximately 8.6
Step-by-step explanation:
The midday temperature, in Celsius degrees (°C), on four successive days is 1.5, -2.6, – 3.4 and 0.5. Calculate the mean temperature.
thanks for anyone who helped <3
Answer:
-1 C
Step-by-step explanation:
Mean = Average
To find the mean simply add all the values and then divide that by the number of given values
So first add the 4 values together
1.5 + -2.6 + -3.4 + .5 = -4
Then divide the sum by the number of values ( there are 4 values )
-4 / 4 = -1
The mean temperature is -1
A street map uses a scale of 1 cm: 200 m.
a) Simplify this ratio.
B) Find the actual distance, in kilometres, represented by each scaled distance.
i) 7 cm
ii) 9.5 cm
iii)12.4 cm
C) Find the scaled distance, in centimetres, used to represent each actual distance,
i) 18 km
ii) 1500 m
iii) 9.6 km
Answer:
B)
1400m
1900m
2480m
C)
90cm
7.5cm
4.8cm
Name the pair of opposite rays with endpoint N.
Answer:
Possible Answers: NA and NX or NM and NC.Step-by-step explanation:
PLS MARK ME BRAINLEIEST AND FLW ME
write the 3 terms of ( 2a+ax)^5 given the first terms in the expansion (b +2x) (2+ ax)^5 are 96 - 176x+cx^2. find the values of a,b,c
Answer:
a^5x^5, 10a^5x^4, 40a^5x^3
Step-by-step explanation:
Use pascal's triangle for the first one
(2+x)^5 * a^5
= x^5a^5 + 5*2^1*x^4*a^5 + 10*2^2*x^3*a^5 ...
= a^5x^5 + 10a^5x^4+ 40a^5x^3 ...
Find the midpoint in geometry.
[tex]\\ \rm\longmapsto (x,y)=\left(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\right)[/tex]
[tex]\\ \rm\longmapsto (x,y)=\left(\dfrac{3+3}{2},\dfrac{6-2}{2}\right)[/tex]
[tex]\\ \rm\longmapsto (x,y)=\left(\dfrac{6}{2},\dfrac{4}{2}\right)[/tex]
[tex]\\ \rm\longmapsto (x,y)=(3,2)[/tex]
Add.
-1 3/4 + (-3/5) + (-1/4)
Enter your answer as a simplified mixed number in the box.
Answer:
-2 3/5
Step-by-step explanation:
that is the answer yep
at a certain certain point in time the sun of an alien world is directly overhead that
world's equator
What is -x2+2-1+6x2-4x2?
Answer:
x^2+1
Step-by-step explanation: