By functional analysis we have the following conclusion about the function given: The domain for f(x) is all real numbers greater than or equal to 2.
How to determine the domain of a function with radical components
Domain is the set of x-values such that the value of the function exists. By algebra we know that the domain of polynomials is the set of all real numbers, whereas the domain of radical functions is the set of x-values such that y ≥ 0. If we know that f(x) = 2 · x² + 5 · √(x - 2), then the domain is restricted by the radical component and defined by x ≥ 2.
By functional analysis we have the following conclusion about the function given: The domain for f(x) is all real numbers greater than or equal to 2.
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please help
(a) Is it safe to place the plant box on a window ledge that can support a maximum weight of 2400 grams? Explain why or why not.
(b) Would the density of the soil change if the plant box was only half full? Explain.
Answers:
(a) The ledge can support the plant box. It is safe to put it there.
(b) No the density would not change.
=========================================================
Explanation for part (a)
We'll need the volume of the cube.
volume = side*side*side
volume = 13*13*13
volume = 2,197
Or you could do
volume = (side)^3
volume = (13)^3
volume = 2,197
The volume of the cube is 2,197 cubic cm. Multiply this with the density to determine its weight.
1.33*2197 = 2,922.01
The soil weighs 2,922.01 grams which is below the 2400 gram weight limit. Therefore, the ledge can support the planter.
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Explanation for part (b)
The weight would go down if you only put in half the soil, but the density would not change regardless of how much soil is in there. Why doesn't the density change? Because the density is the amount of stuff per unit volume. The density tells us how packed in a material is. We can scale the amount of material up or down, and retain the same density.
This is based off physics concepts which are bit beyond the scope of this math course, but different materials have different densities. It's common to use a reference table to look up densities of various materials. For instance, ice is less dense than water. This is why ice floats rather than sinks. As another example, gold is more dense than iron. So 1 cubic unit of gold will weigh more compared to 1 cubic unit of iron.
A survey found that 50% of teenagers prefer to watch a movie at a theater over other viewing options. You want to know the estimated probability that three out of four randomly chosen teenagers do not prefer watching a movie at a theater. How could you design a simulation for this situation?
To design a simulation for this situation, one can generate a set of four numbers by using the number generator with numbers 0 to 5 representing those who prefer watching a movie at a theatre and 6 to 9 representing those who do not.
How to depict the information?From the information given about the probability, the goal here is to design a simulation for this situation.
In this case, to design a simulation for this situation, one can generate a set of four numbers by using the number generator.
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What is the answer for the question down below
Answer:
x = 45°Step-by-step explanation:
If AC is a supplementary line, then
x + 90° + x = 180°
solution:
2x + 90° = 180° |subtract 90° from both sides
2x = 90° |divide both sides by 2
x = 45°
Answer:
[tex] \sf \: b) \: {45}^{o} [/tex]
Step-by-step explanation:
Now we have to,
→ find the required value of x.
Forming the equation,
→ x + x + 90° = 180°
Then the value of x will be,
→ x + x + 90° = 180°
→ 2x = 180° - 90°
→ 2x = 90°
→ x = 90° ÷ 2
→ [ x = 45° ]
Hence, the value of x is 45°.
A train travels at 100 milers per hour. An equation can be written that compares the time (t) with the distance (d). Define the domain and range
Answer:
The domain is t ≥ 0
The range is D ≥ 0
Step-by-step explanation:
[tex]rate = \frac{distance}{time}[/tex]
D(t) = 100t + d₀
t is the time measured in hours.
d₀ is the initial position of the train.
We can assume the distance they go is not negative so...
The domain is t ≥ 0
The range is D ≥ 0
divide: 8x^3 y^5 / 4x^2 y^3
[tex]2 {x}^{5} {y}^{8} [/tex]
Step-by-step explanation:
yes
enlist any five common social rules all kinds of society
Answer:Shake hands when you meet someone.Make direct eye contact with the person you are speaking with.Unless the movie theater is crowded, do not sit right next to someone.Do not stand close enough to a stranger to touch arms or hips.Cover your coughs.
Step-by-step explanation:trust me
find the domain of the function of the graph.
Answer:
[-3, 5)
Step-by-step explanation:
At x = -3, the circle is filled in, so -3 is part of the domain. At x = 5, the circle is not filled in, so 5 is not part of the domain. So the domain is [-3, 5).
Question 11 of 25
What is an equation of the line that is perpendicular to y + 1 = -3(x-5) and
passes through the point (4, -6)?
Ay-6--(x+4)
OB. y-6=3(x+4)
C. y+6=(x-4)
D. y+6=-3(x-4)
SUBMIT
Answer: y+6 = 1/3(x-4
The equation of line perpendicular to the given line and passes through the point P ( 4 , -6 ) is y + 6 = ( 1/3 ) ( x - 4 )
What is an Equation of a line?The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept
And y - y₁ = m ( x - x₁ )
y = y-coordinate of second point
y₁ = y-coordinate of point one
m = slope
x = x-coordinate of second point
x₁ = x-coordinate of point one
The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )
Given data ,
Let the equation of line be represented as A
Now , the value of A is
y + 1 = -3 ( x - 5 )
So , the slope of the line is m = -3
Now , the lines are perpendicular , so the slope of the line m₂ is
m₂ = 1/3
Let the first point be P ( 4 , -6 )
And , the equation of line is y - y₁ = m ( x - x₁ )
On simplifying , we get
y - ( -6 ) = ( 1/3 ) ( x - 4 )
y + 6 = ( 1/3 ) ( x - 4 )
Hence , the equation of line is y + 6 = ( 1/3 ) ( x - 4 )
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X-intercept (3,0) and y-intercept (0, -6).
complete each
1. 570 mL = _______________ L
2. 623 cm3 = _______________ m3
3. 38 gal. = _______________c
4. 585mL = ________________tbsp
5. 20 fl. oz. = ________________ tsp
6. 12 hrs =________________ min
Answer:
1. 570 mL = 0.57 L
2. 623 cm3 = 0.000623 m3
3. 38 gal. = 608 cups
4. 585mL = 39.5624 tbsp
5. 20 fl. oz. = 120 tsp
6. 12 hrs = 720 min
Step-by-step explanation:
1. 570 mL to L
divide the volume value by 1000, 570 / 1000 = 0.57
2. 623 cm3 to m3
divide the volume value by 623/10^6 = 0.000623
3. 38 gal. to c
1 gallon is 16 cups,
multiply the volume value by 16, 38 x 16 = 608c
4. 585mL to tbsp
for an approximate result, divide the volume value by 14.787
14.787 x 585 = 39.5624
5. 20 fl. oz. to tsp
multiply the volume value by 6, 20 x 6 = 120
6. 12 hrs to min
1 hour is 60 minutes
multiply the time value by 60
12 x 60 = 720
What type of relationship is expressed below?
5x = 2x 9
O equation
O function
O inequality
Answer:
The answer will be equation
Will a stand that can hold up to 40 pounds support a21-kilograms television? Explain. Use 2.2 lb=1kg.
Answer: No
Step-by-step explanation:
Weight limit = 40 Lb
Weight given = 21 kg
Conversion factor
2.2 Lb = 1 kg
2.2 x 21 = 46.2
46.2 Lb = 21 kg
46.2 > 40, the stand cannot support the TV
TV > stand
There are eight shirts in your closet, three blue, two are black, one is green, and two are white. You randomly select one to wear on Monday and then a different one on Tuesday. What is the probability that you wear blue shirts on both days?
(please write an explanation)
The probability of wearing blue shirts on both days is 3/28.
What is probability?Probability is the measure of the likelihood of an occurrence.
Given:
8 shirts are available out of which 3 are blue, 1 is green and 2 are white.
P(blue on Monday) = 3/8
Now, 7 shirts are left to wear on Tuesday
P(blue on Tuesday) =2/7
So,
the probability of wearing blue shirts on both days = 3/8 * 2/7 = 3/28
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Ann cleans 9 vessels in 10 minutes and her friend Kathy cleans 12 vessels in 14 minutes. Who cleans less number of vessels?
Answer:
Kathy
Step-by-step explanation:
Sofia is taking a multiple choice test with a total of 100 points available. Each question is worth exactly 5 points. What would be Sofia's test score (out of 100) if she got 8 questions wrong? What would be her score if she got xx questions wrong?
Score with 8 questions wrong:
Score with xx questions wrong:
need answer quickly
Answer:
60 points
100 - 5x
Step-by-step explanation:
If she got 8 questions wrong she missed (8 * 5) points or 40 points. This means she only got 60 points
This can be further generalized by simply subtracting the amount of questions someone got wrong by 5 from the total available points of 100
100 - 5x
The slope-intercept form of the equation of a line that passes through point (-2,-13) is y=5x-3. What is the point-slope form of the equation for this line?
Answer:
y + 13 = 5(x + 2)
Step-by-step explanation:
Point - slope form of equation:[tex]\sf \boxed{\bf y - y_1=m(x-x_1)}[/tex]
Slope intercept of the line : y =5x - 3
Comparing with y = mx +b , m =slope = 5
m = 5 and Point (-2 ,-13)
y - [-13] = 5(x - [-2])
y + 13 = 5(x + 2)
i need help asappppppppppppp
Answer: Choice [D] - "power of a power" ✅
Step-by-step explanation:
Hii, do you need to know which law you should use to simplify [tex]\sf\bigg(x^4\bigg)^9[/tex]?
No problem!
The law we will use here is "power of a power".
What "power of powers" means is we raise a power to a power, which is exactly what we do here: We raise x^4 to the power of 9. To simplify our expression, we multiply the powers. ([tex]\boldsymbol{4\cdot9}[/tex])
So the right answer is: Choice [D] - "Power of a power"
The simplified answer is [tex]\LARGE\boldsymbol{x^{4\cdot9}=x^{36}}[/tex]
Voila! There's our answer, cheers!
--
Hope that this helped! Best wishes.
[tex]\it Reach\;far.\;Aim\;high.\;Dream\;big.}[/tex]
--
* GEOMETRY
please help me show the work for 9, 10, and 11!!
9) Diagonals of a parallelogram bisect each other, so KN=NM. Thus, KM=13.5+13.5=27 cm
10) Opposite sides of a parallelogram are congruent, so LM=KJ=17 cm
11) Based on Question 9, MN=13.5 cm
2(2x – 1) + 7 < 13 or –2x + 5≤-10
Answer:
2, 7.5
Step-by-step explanation:
2(2x - 1) + 7 < 13
4x - 2 + 7 < 1
4x + 5 < 13
4x < 8
x < 2
-2x + 5 ≤ -10
-2x ≤ -10 - 5
-2x ≤ -15
x ≤ -15 / -2
x ≤ 7.5
Evaluate the expression for the given values of the variables:
2a³-7b²+ 3c - (d + e) a = 3, b = 2, c = 4, d = 11, and e = 7
Answer:
yes
Step-by-step explanation:
it's hard but you'll figure it out so don't worry
tch and his brother, Terry, went on a hiking expedition. Starting at sea level, the brothers climbed to a scenic cliff located 6.6 kilometers above them. From there, they descended 1.3 kilometers in one hour. Mitch discovered that he had left behind some essential supplies on the cliff. So, the brothers decide to head back up. They climbed 0.8 kilometer within the next hour. At this point, Mitch and Terry were
away from the scenic cliff.
Mitch and Terry were 0.5 km away from the scenic cliff
What is Sea Level ?Sea level is the base for calculating the depth and the elevation of Earth
It is given that
Total Height of the scenic Cliff = 6.6km
After 1 hour the brothers are at = 6.6 - 1.3 km = 5.3 km from the sea level.
They climb back 0.8 km in the next hour so they will be
5.3 +.8 = 6.1 km from the sea level
6.6 - 6.1 = 0.5 km
Therefore the brothers are 0.5 km away from the scenic cliff
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Solve (x - 2 < 5) ∩ (x + 7 > 6).
1. Ø
2. {x | x < -1 x < 7}
3. {x | -1 < x < 7}
Answer:
c2
Step-by-step explanation:
25. Given: TE= RI, TI = RE,
Proof
LTDI and LROE are right /
Prove: TD=RO
Answer:
In triangle TEI and ERI
TI = RE ( given)
angle TDI = angle ROE ( given).
TE = RI ( given).
by side angle side criteria
both the triangles are congruent
by cpct ( corresponding parts of congruent triangles)
TD is congruent to RO
Really could use help here.
Answer:
[tex]\mathsf {y =\frac{15}{7}x }[/tex] < [tex]\mathsf {y=\frac{13}{6}x }[/tex] < [tex]\mathsf {y=\frac{11}{5}x }[/tex] < [tex]\mathsf {y=\frac{21}{9}x }[/tex] < [tex]\mathsf {y= \frac{19}{8}x}[/tex]
Step-by-step explanation:
Finding the unit rate of the graph :
Take 2 points and find the slope⇒ (0,0) and (12, 25)⇒ m = 25 - 0 / 12 - 0⇒ m = 25/12The equation is : y = 25/12xNow, the equations with greater unit rates (in increasing order) are :
[tex]\mathsf {y =\frac{15}{7}x }[/tex] < [tex]\mathsf {y=\frac{13}{6}x }[/tex] < [tex]\mathsf {y=\frac{11}{5}x }[/tex] < [tex]\mathsf {y=\frac{21}{9}x }[/tex] < [tex]\mathsf {y= \frac{19}{8}x}[/tex]What is the area of rectangle ABCD?
coordinate plane with rectangle ABCD at A 0 comma 1, B 0 comma 4, C 4 comma 4, and D 4 comma 1
12 square units
14 square units
16 square units
18 square units
The area of a 2D form is the amount of space within its perimeter. The area of the rectangle is 12 units². Thus, the correct option is A.
What is an area?The area of a 2D form is the amount of space within its perimeter. It is measured in square units such as cm2, m2, and so on. To find the area of a square formula or another quadrilateral, multiply its length by its width.
As per the given information, the graph of the rectangle can be made as shown below. It can be observed from the graph that the length of the rectangle and width of the rectangle are 4 units and 3 units, respectively. Therefore, the area of the rectangle is,
Area = 4 units × 3 units = 12 units²
Hence, the area of the rectangle is 12 units². Thus, the correct option is A.
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Decrease 80g by 12.5%
The basic equation for calculating compound interest is A = P(1 + nt.
If $1,200 is invested at an interest rate of 8% per year, compounded quarterly, how much will the
investment be worth at the end of 10 years?
Show your work!
The amount of the investment at the end of the 10 years period if compounded quarterly is $2,649.6.
Compound interestPrincipal, P = $1200Interest rate, r = 8% = 0.08Time, t = 10Number of period, n = 4A = P(1 + r/n)^nt
= 1200(1 + 0.08/4)^(4×10)
= 1200(1 + 0.02)^40
= 1200(1.02)^40
= 1200(2.208)
= $2,649.6
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question 10 please
need help
Answer:
Denes Dynamos =
2012 attendance = 34500
2013 attendance = 30705
change = 30705 - 34500= -3795
change percentage = -3795 * 100 / 34500 = -11%
Edgefield Eagles =
2012 = 24100
2013 = 21208
change = -2892
change Percentage = -2892 * 100 / 24100 = -12%
bear corp. has $100,000 cash in the bank restricted to repay a note payable that matures in 2 years. how should this $100,000 be reported?
It should be reported as a restricted cash in the long-term section of the company balance sheet.
What is note payable?Note payable can be defined a the money a company or an organization owes or the money they are expected to payback..
Note payable is classified as long term liabilities. Hence, the cash amount of $100,000 should be reported or recorded in the balance sheet as a restricted cash.
Therefore the $100,000 is reported as a restricted cash.
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Question 9 of 30 If f(x) = 3*-¹ + 4 and g(x) = 4x-7, what is (f - g) (x) ? O A. (f - g)(x) = 3*-1 - 4x-11 B. (f - g)(x) = 3*-1 - 4x +11 C. (f - g)(x) = 3*-1 - 4x+3 O D. (f-g)(x) = 3×-¹ - 4x - 3 NEED HELP ASAP
Answer:
I really don't know
Step-by-step explanation:
what is even that