Answer:
Mean
Step-by-step explanation:
Finding the mean, or the average, of the different weights that were measured, would best estimate the true mass of the solid.
This would find the average mass, which would be the most accurate estimate of the solid's actual mass.
Using the minimum, maximum, and mode will not take into account the other weights that were measured. This makes it much more inaccurate.
So, the correct answer is Mean.
George has opened a new store and he is monitoring its success closely. He has found that this store’s revenue each month can be modeled by r(x)=x2+6x+10 where x represents the number of months since the store opens the doors and r(x) is measured in hundreds of dollars. He has also found that his expenses each month can be modeled by c(x)=x2−4x+5 where x represents the number of months the store has been open and c(x) is measured in hundreds of dollars. What does (r−c)(4) mean about George's new store?
Answer:
(r - c)(4), is the profit made in George's new store after 4 months which is $4,500
Step-by-step explanation:
The given parameters for George's store are;
The amount of revenue George makes each month, r(x) = x² + 6·x + 10
The expenses each month, c(x) = x² - 4·x + 5
Where;
x = The number of months the store has opened the doors
r(x) and c(x) are measured in hundreds of dollars
The amount of profit from the store, P = Revenue - Expenses
Therefore, the profit made on a given month, x, is P(x), which is found as follows;
P(x) = r(x) - c(x) = (r - c)(x)
Therefore, (r - c)(4) = P(4), is the profit realized from George's new store, after 4 months
(r - c)(4) = 4² + 6·4 + 10 - (4² - 4·4 + 5) = 45
Answer:
The new store will have a profit of $4500 after its fourth month in business.
Step-by-step explanation:
I took the quiz
9 is subtracted from 5 times 3 and 10 is added
Can someone please help me
Answer: B. 4 × 10⁻⁵
Step-by-step explanation:
0.00003762 = 3.762 × 10⁻⁵ ≈ 4 × 10⁻⁵
Answer:
b
Step-by-step explanation:
[tex]4 \times {10}^{ - 5} = 4 \times \frac{1}{100000} [/tex]
Find the value of x.
A. 99
B. 9
C. 90
D. 11
ILL GIVE BRAINLIEST
Answer:
B) 9
Step-by-step explanation:
Because there's a square between the 2 angles, that means these angles are complementary (angles that add up to 90°). So:
5x - 9 + 6x = 90
11x - 9 = 90
11x = 90 + 9
11x = 99
x = 9
Answer:
B.9
Step-by-step explanation:
The way to solve this is by noticing that these angles are complementary(they add up to 90 degrees). So you add the equations together and equal them to 90. 5x-9+6x=90.Then you solve to find that x=9.
The square root of 0.25 is 0.5 which is a greater number. Give another number whose square root is larger than the number and explain why.
Answer:
Another example of a number who's square root is greater than the number is [tex]\sqrt{0.49}[/tex] which is 0.7
Step-by-step explanation:
This square root is larger than the number because it is a decimal. When you multiply a decimal by a decimal, the decimal point becomes greater. For example: 0.7 multiplied by 0.7 equals 0.49 which has 2 decimal places, while 0.7 only has one.
A car travelling at v kilometers per hour will need a stopping distance, d, in meters without skidding that can be modelled by the function d=0.0067v2+0.15v. Determine the speed at which a car can be travelling to be able to stop within 37m.
I’m need of serious help!
Answer:
v = 14 km/h
Step-by-step explanation:
d = 0.0067[tex]v^{2}[/tex] + 0.15v
differentiate the function with respect to v to have;
d = 0.0134v - 0.15
given that the distance without skidding = 37 m (0.037 km) , then;
0.037 = 0.0134v - 0.15
0.0134v = 0.037 + 0.15
= 0.187
v = [tex]\frac{0.187}{0.0134}[/tex]
= 13.9552
v = 14 km/h
The speed of the car travelling would be 14 km/h to be able to stop within 37m.
Find the line’s slope and a point on the line
Y-4=-3/4(x+5)
Answer:
The slope is -3/4 and a point on the line is (-5,4)
Step-by-step explanation:
This equation is in point slope form
y -y1 = m(x-x1)
where m is the slope and (x1,y1) is a point on the line
Y-4=-3/4(x+5)
Y-4=-3/4(x - -5)
The slope is -3/4 and a point on the line is (-5,4)
15 points f (x) = 1/x+5 -1. Find the inverse of (x) and its domain.
Answer:
D
Step-by-step explanation:
[tex]f(x)=\frac{1}{x+5} -1\\let~f(x)=y\\y=\frac{1}{x+5} -1\\flip~x~and~y\\x=\frac{1}{y+5} -1\\x+1=\frac{1}{y+5} \\y+5=\frac{1}{x+1} \\y=\frac{1}{x+1} -5\\f^{-1}(x)=\frac{1}{x+1} -5\\x+1\neq 0\\x\neq -1[/tex]
I will give brainliest if correct!!! Please show work so I know how to do it. :)
12. Let logb(3) = 0.5646, logb(4) = 0.7124, and logb(5) = 0.8271. Using these values, evaluate logb(5/3).
A. 0.1518
B. 1.4649
C. 1.2138
D. 0.2625
E. 0.5341
F. 2.6252
Answer:
.2625
Step-by-step explanation:
logb(3) = 0.5646, logb(4) = 0.7124, and logb(5) = 0.8271
logb(5/3)
We know that logx ( y/z) = logx (y) - logz (z)
logb ( 5) - logb(3)
0.8271 - 0.5646
.2625
Answer:
F. 2.6252
Step-by-step explanation:
0.8271 - 0.5646
Two corresponding sides of similar triangles have the lengths 6 cm and 16 cm. What is the ratio, expressed as a decimal?
Answer: 16:81
Step-by-step explanation:
40 points Please help!!!
What is the volume of this regular prism?
48.55 cubic inches
55.8 cubic inches
9.7 cubic inches
24.28 cubic inches
Answer:
V = 24.28 in ^3
Step-by-step explanation:
The area of the base is
A =5/2 × s × a where s is the side length and a is the apothem
A = 5/2 ( 2.13) * .87
A = 4.63275
The volume is
V = Bh where B is the area of the base and h is the height
V = 4.63275 ( 5.24)
V =24.27561 in^3
Rounding to the hundredth
V = 24.28 in ^3
What is “8 - 4(-x + 5)” equivalent too?
Answer:
4x -12
Step-by-step explanation:
8 - 4(-x + 5)
Distribute
8 -4(-x) -4(5)
8 +4x -20
4x -12
answer 4( - 3 + x)
factor expression 4(2 - ( - x + 5)4(2 + x - 5)answer
[tex]4( - 3 + x)[/tex]
simplify the expression[tex]8 - 4( - x + 5)[/tex]
answer
[tex] - 12 + 4x[/tex]
Given: -1/2 x > 6.
Choose the solution set.
A. {x | x R, x > -12}
B. {x | x R, x > -3}
C. {x | x R, x < -3}
D. {x | x R, x < -12}
Given: -1/2 x > 6
Solving It:--1/2 x > 6
x > -6×2
x > -12
So The Correct Solution Set Will Be
A. {x | x R, x > -12}Hope This Helps YouFind the area to the left of z = 0.25.
A. 0.6012 B. 0.5987 C. 0.4013 D.0.3988
Answer:
.5987
Step-by-step explanation:
Use a ztable and find .25 (pic below)
Find the area of the image below
Answer:
0 because there is no image....
Find the discernment and the numbers of the number of real roots for this equation.
x^2+3x+8=0
Answer: 2 distinct complex solutions (ie non real solutions).
Work Shown:
The given equation is in the form ax^2+bx+c = 0, so
a = 1, b = 3, c = 8
Plug those into the formula below to find the discriminant
D = b^2 - 4ac
D = 3^2 - 4(1)(8)
D = -23
The discriminant is negative, so we get two nonreal solutions. The two solutions are complex numbers in the form a+bi, where a & b are real numbers and [tex]i = \sqrt{-1}[/tex]. The two solutions are different from one another.
Answer:
Discriminant: -23
Number of real roots: 0
Step-by-step explanation:
For a quadratic in standard form [tex]ax^2+bx+c[/tex], the discriminant is given by [tex]b^2-4ac[/tex].
In [tex]x^2+3x+8[/tex], assign:
[tex]a\implies 1[/tex] [tex]b\implies 3[/tex] [tex]c\implies 8[/tex]The discriminant is therefore:
[tex]3^2-4(1)(8)=9-32=\boxed{-23}[/tex]
For any quadratic:
If the discriminant is greater than 0, the quadratic has two real rootsIf the discriminant is equal to 0, the quadratic has one real rootIf the discriminant is less than 0, the quadratic as no real rootsSince the quadratic in the question has a discriminant less than 0, there are no real solutions to this quadratic.
Which pair shows equivalent expressions?
O 2x+10=-2(x-5)
O-2(x+5)=2x-10
0 -2x-10=-2(x+5)
O -2(x-5)=-2x-10
Answer:
O-2(x+5)=2x-10
Explanation
O-2(x+5)=2x-10
SOLUTION
-2x(x)= -2x
-2x+5 = -10
If
f(x) = x2 + 2x - 4
and
g(x) = 3x + 1
Find
f(g(x)) = [? ]x2 + [ ]+х
Answer:
f(g(x)) = 9x^2 +12x -1
Step-by-step explanation:
f(g(x)) means you replace the x in f(x) with g(x), which is 3x + 1:
(3x+1)^2 + 2(3x+1) - 4
then expand and simplify:
(3x+1)(3x+1) + 6x+2 - 4
9x^2+6x+1 + 6x+2 - 4
and then collect all like terms:
9x^2
6x + 6x = 12x
1 + 2 - 4 = -1
Please help me Find PA.
WILL GIVE BRAINLIEST, HELP QUICK!!
Answer:
the answer is 5 units
Step-by-step explanation:
You can look at the location of B and C and see that the line goes from 2 to -2 which is 5 units apart. -2, -1, 0, 1, 2
What is the simplest version of 9/16×4/18
Answer:
1/8
Step-by-step explanation:
9/16 * 4/18
Rewriting
9/18 * 4/16
9/18 = 1/2 and 4/16 = 1/4
1/2 * 1/4
1/8
Answer:
[tex]\frac{1}{8}[/tex]
Step-by-step explanation:
[tex]\frac{9}{16}[/tex] x [tex]\frac{4}{18}[/tex] = [tex]\frac{(9)(4)}{(16)(18)}[/tex]
[tex]\frac{(9)}{(18)}[/tex] = [tex]\frac{1}{2}[/tex]
[tex]\frac{4}{16}[/tex] = [tex]\frac{1}{4}[/tex]
[tex]\frac{(1)(1)}{(2)(4)}[/tex] = [tex]\frac{1}{8}[/tex]
Can someone help me with this math homework please!
1. a= 19
2.2 ( second option)
3.C
4D
help please like PLEASE ASAP
Answer:
1/5^5
Step-by-step explanation:
Flip the equation into a fraction.
:>
Find the special product:
(r + 5)^2
Answer:
i am not sure about this answer but i got r^2+10r+25
Complete this equations,( show your work).
* I re-wrote some of the questions below them so u can read ' em better. ty
Answer:
21 is: [tex]\frac{4}{9}[/tex] x + [tex]\frac{31}{72}[/tex]
22 is: 4 [tex]\frac{39}{44}[/tex]
23 is:[tex]\frac{1}{4}[/tex] x + [tex]\frac{31}{72}[/tex]
24 is: [tex]\frac{-2}{11}[/tex] x + [tex]\frac{7}{11}[/tex]
Step-by-step explanation: Hope this helps and good luck mark brainliest if u want :)
which of the following equations have complex roots?
9514 1404 393
Answer:
B. 3x² +2 = 0
Step-by-step explanation:
The equation of A has a couple of real roots. We're pretty sure there are complex numbers that will satisfy this equation, but we don't know how to find them. (We suspect a typo, and that the equation is supposed to be 2x² +1 = 7x, which has only real roots.)
__
The equation of B can be rewritten as ...
x² = -2/3
This will have complex roots.
__
The discriminants of both equations C and D are positive, so those have only real roots.
2x² -5x -1 ⇒ d = (-5)² -4(2)(-1) = 33
3x² -6x -1 ⇒ d = (-6)² -4(3)(-1) = 48
Help me please please help me please
Answer:
the first one...
the cost of renting the ally for 14 hours
Step-by-step explanation:
Answer:
the first one
the number of dollars it costs to rent the bowling lane for14 hours
Jessica ate 7 /10 of her orange before lunch and 1/10 of her orange after lunch. How much of her orange did she eat?
Answer:
8/10
Step-by-step explanation:
Please I need help someone answer asap
Answer:
C -2,-1
Step-by-step explanation:
I pulled up a graph of a circle. -2, -1 is outside the circle
which of the following are exterior angles?
Answer:
A, B, E
Step-by-step explanation:
Exterior angles are angles that are outside the shape. In this case, angle 4, 3 and 2 are exterior angles.
