1. Which expression is equivalent to 60m 2n6 for all values of m and n where the 5m-on-2 expression is defined? A. 12mns 12n B D. 55m?n mo
Given:
The expression is:
[tex]\dfrac{60m^{-2}n^6}{5m^{-4}n^{-2}}[/tex]
To find:
The equivalent expression.
Solution:
We have,
[tex]\dfrac{60m^{-2}n^6}{5m^{-4}n^{-2}}[/tex]
It can be written as:
[tex]=\dfrac{60}{5}\times \dfrac{m^{-2}}{m^{-4}}\times \dfrac{n^6}{n^{-2}}[/tex]
[tex]=12\times m^{-2-(-4)}\times n^{6-(-2)}[/tex] [tex][\because \dfrac{a^m}{a^n}=a^{m-n}][/tex]
[tex]=12\times m^{-2+4}\times n^{6+2}[/tex]
[tex]=12m^{2}n^{8}[/tex]
Therefore, the correct option is A.
A bucket with 35 chips has a ratio of 2 blue chips for every 3 red chips. How many red chips are in the
bucket?
Answer:
10
Step-by-step explanation:
Norachai invests $8,876 in a retirement account with a fixed annual interest rate of 5% compounded continuously. What will the account balance be after 13 years?
A) $15,932.34
B) $16,173.13
C) $17,002.34
D) $15,231.28
The concession stand sells peanuts at football games. The peanuts are sold in-pound, -pound,
-pound, or 1-pound bags. The line plot shows the numbers of bags of peanuts that were sold during
last week's game.
Pls help
Given that the four points A(1,2), B(2, -5), C(7,0) and D(p,q) are the vertices of the rhombus ABCD
calculate
a) the value of p and of q
Step-by-step explanation:
Three coordinates of a Rhombus is given to us. And the fourth coordinate is D(p,q) . Weneedtofind the value of p and q . We know that the diagonals of Rhombus bisect each other at right angles . So lets find the midpoint.
• Midpoint of AC :-
[tex]\tt\to Midpoint_{(AC)}= \bigg(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\bigg)\\\\\tt\to Midpoint_{(AC)}= \bigg( \dfrac{1+7}{2},\dfrac{2+0}{2}\bigg)\\\\\tt\to Midpoint_{(AC)}= \bigg(\dfrac{8}{2},\dfrac{2}{2}\bigg)\\\\\tt\to \boxed{\orange{\tt Midpoint_{(AC)}= (4,1)}}[/tex]
_______________________________
• Midpoint of BD :-
[tex]\tt\to Midpoint_{(BD)}= \bigg(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\bigg)\\\\\tt\to \boxed{\orange{\tt Midpoint_{(BD)}= \bigg( \dfrac{2+p}{2},\dfrac{q-5}{2}\bigg)}}[/tex]
_______________________________
Now since these two coordinates must be equal, therefore ,
[tex]\tt\to \bigg( \dfrac{2+p}{2},\dfrac{q-5}{2}\bigg)= (4,1)\\\\\tt\to \dfrac{2+p}{2}=4 \qquad and \qquad \dfrac{q-5}{2}=1 \\\\\tt\to 2 + p = 8 \qquad and \qquad q-5 = 2 \\\\\tt\to p = 8 -2 \qquad and \qquad q = 2 +5 \\\\\tt\to\boxed{\orange{\tt (p,q) = (6,7) }}[/tex]
roberta has 2/4 gallon of milk. she uses 1/8 as a serving. How many servings doe she have.
FOR 100 POINTS
Answer:
She should have 4 I mean thats my best
Step-by-step explanation:
Can anyone help me with these two questions
I’ll mark you as a brainliest.
No links please :( .
Answer:
Step-by-step explanation:
How much does 4 miles =
Answer:
6.44 km
21120 feet
7040 yard
253440 in
Step-by-step explanation:
Answer:
4 miles =21, 120 ft
4 miles =253,440 inches
4 miles = 7040 miles
Step-by-step explanation:
Hope this helped!!!!
what is 22% of 45
what is 32.5% of 250
Answer:
22%*45=
(22:100)*45 =
(22*45):100 =
990:100 = 9.9
32.5%*250=
(32.5:100)*250 =
(32.5*250):100 =
8125:100 = 81.25
Answer:
1) 9.9
2) 81.25
Step-by-step explanation:
1)
22% = 0.22
45(0.22) = 9.9
2)
32.5% = 0.325
250(0.325) = 81.25
question: 2ab-4b
answer:
Answer:
Step-by-step explanation:
2ab - 4b
Taking 2b as common
2b( a - 2)
Help please no links please
Answer:
10ft × 7ft = 70sq ft
Step-by-step explanation:
The width of the Bed is = The width of the study corner = 10ft
A natural gas company charges a $21.08 connection fee plus $2.21 per 8 cubic feet of gas used. In the winter peak usage months,
November through February, they charge each customer a peak usage surcharge of $25.90. If a family uses 176 cubic feet of gas,
how much will their bill have increased because of the peak usage surcharge?
OA. $46.98
OB. $569.80
OC. $25.90
OD
$95.60
NEED ANSWERED ASAP PLEASE
sin(0)= -4 sqrt 29 / 29
Answer:
Is - 4
Step-by-step explanation:
29/29 cancel it out
so it will leave -4 out
HELP The dot plots show the number of library books checked out by two groups of students. Which statement is true?
Question 2 options:
The distribution for Group A is symmetric, and the distribution for Group B is skewed to the right.
The distribution for Group A is skewed to the right, and the distribution for Group B is skewed to the left.
The distribution for Group A is skewed to the left, and the distribution for Group B is skewed to the right.
The distribution for Group A is symmetric, and the distribution for Group B is skewed to the left.
Answer: hello the dot plots related to your question is missing attached below is the missing Dot plots
answer: The distribution for Group A is symmetric, and the distribution for Group B is skewed to the right.
Step-by-step explanation:
The true statement is
The distribution for Group A is symmetric, and the distribution for Group B is skewed to the right.
This is because the data value of 10 in Group B makes it to be skewed to the right
What is the volume of the cone to the nearest cubic millimeter? (Use π = 3.14)
Answer:
V = 183.16666666667 m3
Step-by-step explanation:
https://www.calculatorsoup.com/calculators/geometry-solids/cone.php
This calculator might help with other problems you have like this one and no this isn't a scam
helppppppppppppppppp
Answer: the answer is 46
Step-by-step explanation:
i added them all together
Answer:
739200
Forgive me if this is wrong
Step-by-step explanation:
This is hard math but I am going to help so
5 x 12 x 7 x 11 x 5 x 4 x 8
Leon makes a rectangular logo for his skateboarding club. He cuts from fabric two copies of the trapizoid shown and joins them to form a rectangle. What is the area of the rectangular logo leon makes
Answer:
Area of the rectangular logo is 56cm²
Step-by-step explanation:
If we look at the picture the 2 trapezoids make a rectangle.
The length of the rectangle = 9+5= 14 cm and the breadth = 4 cm
Area of the rectangle = Length * breadth
A= 14*4= 56cm²
Area of the rectangular logo is 56cm²
Area of the trapezoid = 28 cm²
Area of the trapezoid = 1/2height( base1+ base2)
= 1/2 (4) ( 5+9)
= 2(14)= 28 cm²
Area of 2 trapezoids = 28 cm²+28 cm²= 56 cm²
Find the area of the triangle. If necessary, round the answer to two decimal places.
a = 12, b = 15, C = 52°
A)35.46
B)70.92
C)88.80
D)141.84
Answer:
B) 70.92
Step-by-step explanation:
a = 12
b = 15
C = 52°
[tex] area = \dfrac{ab \sin C}{2} [/tex]
[tex]area = \dfrac{12(15) \sin 52^\circ}{2}[/tex]
[tex] area = 70.92 [/tex]
Answer:
c
Step-by-step explanation:
because 15 x 12 is 180 so multiply by .5 and you get 90 and 88.80 is the closest thing to 90
what is forty five plus ninety
Answer:
=135
Step-by-step explanation:
45+90
=45+90
=135
The function g(x) is a translation of f(x) = (x + 3)2 – 10. The axis of symmetry of g(x) is 5 units to the right of f(x) . Which function could be g(x)?
g(x) = (x – 2)2 + k
g(x) = (x + 8)2 + k
g(x) = (x – h)2 – 5
g(x) = (x – h)2 – 15
Answer:
a.
g(x) = (x – 2)2 + k
Step-by-step explanation:
The function that could be g(x) is (a) g(x) = (x - 2)^2 + k
How to determine the function?The function f(x) is given as:
f(x) = (x + 3)^2 - 10
The axis of symmetry of g(x) is 5 units to the right of f(x).
This means that:
g(x) = f(x - 5)
So, we have:
f(x - 5) = (x - 5+ 3)^2 + k
Evaluate the difference
f(x - 5) = (x - 2)^2 + k
Substitute g(x) = f(x - 5)
g(x) = (x - 2)^2 + k
Hence, the function that could be g(x) is (a) g(x) = (x - 2)^2 + k
Read more about axis of symmetry at:
https://brainly.com/question/15709421
#SPJ9
Please help tysm! will mark brainily for whoever answers first and correct ^^
What is the volume of the cylinder below?
A. 98pi units3
B. 784pi units3
C. 112pi units3
D. 196pi units3
Answer:
D) 196π
Step-by-step explanation:
Volume of a cylinder formula:
V = πr²h
Given:
r = 7
h = 4
Work:
V = πr²h
V = π7²(4)
V = 49(4)π
V = 196π
A study population includes 1400 men and 1400 women. Which sample best represents the population?
68 men, 72 women
62 men, 95 women
12 men, 130 women
140 men, 24 women
A,B,C, or D plz just write the letter
What is the common difference between successive terms in the sequence? 2, 8, 14, 20, 26, ... A. -6 B. -4 C. 4 D. 6
Answer:
D .6 is the correct option
Step-by-step explanation:
common difference=2nd term-1st term
= 8-2
=6
5,111 ÷ 3 it wont show up on calculator
Answer:
Step-by-step explanation:
In calculator the answer is 1703.66666667
Answer:
1,703.6
Step-by-step explanation:
find the area of the composite figure
Answer:
the area is 6808
Step-by-step explanation:
You mulptly 34*34 for both squares because both squares are equal
and you get 1156.
Then you add 1156+1156=2312
then you multply 190*46=9120
then you subtract 9120-2312=6808
So that is you area=6808
I need help desperately
Answer:
y = x + 4
Step-by-step explanation:
slope = 1
b = 4
Theresa is baaking muffins for the school bake sale. She bakes 94 muffins.Her friend Diego bakes 37 muffins.They plan to place 8 muffins in each box to sell. What is the greatest number of boxes that Theresa and Diego can compleatly fill?
Answer:
16 boxes
Step-by-step explanation:
94+37=131
131/8=16.375
This means that the most possible boxes that they can fill is 16 boxes
Answer:
They can completely fill 16 boxes
Step-by-step explanation:
94 + 37 = 131
131/8 = 16.375
So that is 16 completely filled boxes and one box with .375 (3 muffins)
https://northeast.schoolobjects.com/eduphoria_webcontrols/attachmentwriter.aspx?orgguid=0cdcd836-79e1-43fd-b1f1-87815cd304ec&attid=b57be0e4-768f-4f58-b615-ebd56e104099 FIND SQ
Answer:
Links are never trusted sir
Step-by-step explanation:
copy and paste (●'◡'●)
Write an equation of the line that passes through point P and is parallel to the line with the given equation: P(2,5) Y-1=4x
Given:
The equation of a line is:
[tex]y-1=4x[/tex]
A line parallel to the above line passes through the point P(2,5).
To find:
The equation of the parallel line.
Solution:
The slope intercept form of a line is:
[tex]y=mx+b[/tex] ...(i)
Where, m is the slope and b is the y-intercept.
The given equation is:
[tex]y-1=4x[/tex]
It can be rewritten as
[tex]y=4x+1[/tex] ...(ii)
On comparing (i) and (ii), we get
[tex]m=4[/tex]
It means the slope of the given line is 4.
We know that the slopes of two perpendicular lines are equal. So, the slope of the required parallel line is also 4.
The parallel line passes through the point P(2,5) with slope 4, thus the equation of the parallel line is
[tex]y-y_1=m(x-x_1)[/tex]
[tex]y-5=4(x-2)[/tex]
[tex]y-5=4x-8[/tex]
[tex]y=4x-8+5[/tex]
[tex]y=4x-3[/tex]
Therefore, the equation of the required parallel line is [tex]y=4x-3[/tex].
(5)
A table cost $275. An LCD television set cost $325 more than the table.
Find the ratio of the cost of the LCD television set to the cost of the table.
Express the ratio in its simplest form.
Answer:
table cost=275
LCD television cost=325+275
= 600
[tex]ratio = \frac{600}{275} \\ = \frac{120}{55} \\ = \frac{24}{11} [/tex]
