Which could be the first step in simplifying this expression? Check all that apply.
Answers
Answer:
[tex](x^{-3})^2[/tex]
Step-by-step explanation:
applying the exponent rule to the inside of the bracket, x^3 x x^-6 = x^-3 since you add the exponents
Related Questions
after allowing a 15% discount on the Marked price of a radio becomes rupees 1997 find the Marked price of the radio
Answers
Answer:
after discount sales price is rs 1997 which is 85 % of market price the market price = 1997/85×100 = 2350 ans.
(10 PTS) How do I solve for this? Please show work
Answers
Answer:
4
Step-by-step explanation:
8 ^ 2/3
Rewriting 8 as 2^3
( 2^3) ^ 2/3
We know that a^ b^c = a^ (b*c)
2 ^ ( 3 * 2/3)
2 ^ 2
4
Harold used 6 centimeters of tape to wrap 3 presents. What is the unit rate?
Answers
Answer:
2cm/present is the unit rate
[tex]\huge\text{Hey there!}[/tex]
[tex]\huge\text{Harold used \underline{\underline{6 centimeters of tape}} to wrap}\\\huge\text{\underline{\underline{3 presents}}. \underline{\underline{\underline{What is the unit rate?}}}}[/tex]
[tex]\huge\boxed{\star \ Formula: \mathsf{\dfrac{a}{b}= unit\ rate \ }\star}[/tex]
[tex]\huge\boxed{\mathsf{Equation\boxed{\rightarrow}\ \dfrac{6}{3} = \boxed{unit\ rate}}}[/tex]
[tex]\huge\boxed{\mathsf{\dfrac{6}{3} = \boxed{\bf unit\ rate}}}\\\\\\\huge\boxed{\mathsf{ 6 \ \boxed{\div} \ 3\ \boxed{= } \ \bf\boxed{\bf unit\ rate}}}\\\\\\\\\huge\boxed{\boxed{=} \bf \ 2}[/tex]
[tex]\huge\boxed{\star\ \textsf{Therefore, the UNIT RATE IS: \bf \boxed{\bf 2}}\ \star}[/tex]
[tex]\boxed{\boxed{\huge\text{Answer: the unit rate is \bf \boxed{\underline{\underline{\underline{\underline{\bf 2}}}}}}}}\huge\checkmark\\\\\huge\text{Good luck on your assignment \& enjoy your day!}\\\\\\\\\huge\boxed{\frak{Amphitrite1040:)}}[/tex]
Carter draws one side of equilateral △PQR on the coordinate plane at points P(-3,2) and Q(5,2). Which ordered pair is a possible coordinate of vertex R?
A. (-3, -6)
B. (0, 8)
C. (1, 8.9)
D. (1, -8.9)
Answers
Step-by-step explanation:
Hey, there!!!
Let me simply explain you about it.
We generally use the distance formula to get the points.
let the point R be (x,y)
As it an equilateral triangle it must have equal distance.
now,
let's find the distance of PQ,
we have, distance formulae is;
[tex]pq = \sqrt{( {x2 - x1)}^{2} + ( {y2 - y1)}^{2} } [/tex]
[tex]or \: \sqrt{( {5 + 3)}^{2} + ( {2 - 2)}^{2} } [/tex]
By simplifying it we get,
[tex] 8[/tex]
Now,
again finding the distance between PR,
[tex] pr = \sqrt{( {x2 - x1}^{2} + ( {y2 - y1)}^{2} } [/tex]
or,
[tex] \sqrt{( {x + 3)}^{2} + ( {y - 2)}^{2} } [/tex]
By simplifying it we get,
[tex] = \sqrt{ {x}^{2} + {y}^{2} + 6x - 4y + 13 } [/tex]
now, finding the distance of QR,
[tex]qr = \sqrt{( {x - 5)}^{2} + ( {y - 2)}^{2} } [/tex]
or, by simplification we get,
[tex] \sqrt{ {x}^{2} + {y}^{2} - 10x - 4y + 29 } [/tex]
now, equating PR and QR,
[tex] \sqrt{ {x}^{2} + {y}^{2} + 6x - 4y + 13} = \sqrt{ {x}^{2} + {y}^{2} - 10x - 4y + 29 } [/tex]
we cancelled the root ,
[tex] {x}^{2} + {y}^{2} + 6x - 4y + 13 = {x}^{2} + {y}^{2} -10x - 4y + 29[/tex]
or, cancelling all like terms, we get,
6x+13= -10x+29
16x=16
x=16/16
Therefore, x= 1.
now,
equating, PR and PQ,
[tex] \sqrt{ {x}^{2} + {y}^{2} + 6x - 4y + 13 } = 8} [/tex]
cancel the roots,
[tex] {x}^{2} + {y}^{2} + 6x - 4y + 13 = 8[/tex]
now,
(1)^2+ y^2+6×1-4y+13=8
or, 1+y^2+6-4y+13=8
y^2-4y+13+6+1=8
or, y(y-4)+20=8
or, y(y-4)= -12
either, or,
y= -12 y=8
Therefore, y= (8,-12)
by rounding off both values, we get,
x= 1
y=(8,-12)
So, i think it's (1,8) is your answer..
Hope it helps...
Answer:
1,8.9
Step-by-step explanation:
Hailey is making pizzas for a pizza party. Each pizza requires 1/2 pound of cheese. How many pounds of cheese does she need to make 19 pizzas? Express your answer in simplest form.
Answers
Cheese required for 1 pizza = ½ pound
So, cheese required for 19 pizzas
= 19 × ½ pounds
= 19/2 pounds
= 9½ pounds
So, Hailey needs 9½ pounds of cheese to make 19 pizzas.
The solution is 9.5 pounds
The number of pounds of cheese Hailey need to make 19 pizzas is 9.5 pounds
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the number of pounds of cheese for 19 pizzas be A
Now , the equation will be
The number of pounds of cheese for 1 pizza = 1/2 pounds
So , the number of pounds of cheese for 19 pizzas = 19 x number of pounds of cheese for 1 pizza
Substituting the values in the equation , we get
The number of pounds of cheese for 19 pizzas = 19 x ( 1/2 )
The number of pounds of cheese for 19 pizzas = 19/2
The number of pounds of cheese for 19 pizzas = 9.5 pounds
Therefore , the value of A is 9.5 pounds
Hence , the number of pounds of cheese is 9.5 pounds
To learn more about equations click :
https://brainly.com/question/19297665
#SPJ2
What is another way to write 100,203 in other forms
Answers
Answer:
You can write in
Step-by-step explanation:
Lakhs
First write 100,203.
Put ones,tens,hundreds,thousands,ten thousands and lakh on top of each number from the extreme left.
This is how you can write 100,203 in another way. You can't write in any other way than this one.
Hope this helps....
Have a nice day!!!!
there are 400 pages-to be read from a book.yesterday you read 1/4 of the pages. today you read 2/3 of the remains pages from the book.how many pages are left in the book
Answers
Answer:
100 pages
Step-by-step explanation:
Yesterday, there were 400 pages left unread so you read 1/4 * 400 = 100 pages yesterday. Today, there are 400 - 100 = 300 pages left unread so today, you read 2/3 * 300 = 200 pages. This means that there are 300 - 200 = 100 pages left in the book.
calculate with reasons, the size of the unknown indicated angles
pls help !!
Answers
Answer:
x+125+25=180 angles of triangle
x=180-150
x=30
plssssssssssss helppppppppppppp i want it now
Answers
Answer:
0.35 * 1000 = 350
1.2 * 1000 = 1200
Answer:
We know:
1 l = 1000 mlCovert the given l to ml:
(a)
0.35 l = 0.35 * 1000 ml = 350 ml(b)
1.2 l = 1.2 * 1000 ml = 1200 mlhelp me with the question of o.math
Answers
Answer:
A= 5 8 11
7 10 13
11 14 17
x=3 y=2 z=-1 w=1/2
Step-by-step explanation:
Let matrix A= a11 12 13
a21 a22 a23
a31 a32 a33
aij=2^i+3j
When i=1 and j=1,
aij=2^1+3*1=2+3=5
Solve for all the elements and you'll get,
A= 5 8 11
7 10 13
11 14 17
For no 7,
x+y 0 = 5 2w-1
1 x-y z+2 1
Equating,
x+y =5 z+2=1 2w-1=0 x-y=1
x=5-y z=-1 w=1/2 From 1st 5-y-y=1 -2y=-4 y=2
x=5-2(from last)
x=3
4. Suppose you make $12 an hour as a lifeguard at the community pool during the summer. Let h
represent the number of hours you work in a week. Write an expression that represents the
amount of money you earn in a week and evaluate it for ) = 15.
O 12.; $180
O 12 + 1; $27
7(12.1); $1,260
O5(127); $900
Answers
Answer:
Option A
Step-by-step explanation:
Expression: y = 12h
If h = 15, then:
y = 12(15)
y = $180
Option A
For what value of x is the rational expression below equal to zero?
x-4/(x+5)(x-1)
O A. -5
O B. 4
C. -4
O D. 1
Answers
Answer:
x=4
Step-by-step explanation:
(x-4)/(x+5)(x-1)
For this to be equal to zero, the numerator must be zero and the denominator not equal to zero
x-4 = 0
x=4
Take away 3 from 8 times K
Answers
Answer:
8×k-3
Step-by-step explanation:
that would be the equation (:
Answer:
8k - 3 is the answer because they are not like terms.
If EH = 76, calculate DI.
Answers
Answer:
DI = 38
Step-by-step explanation:
Δ EHC and Δ DIC are similar and ratios of corresponding sides are equal, that is
[tex]\frac{DI}{EH}[/tex] = [tex]\frac{DC}{EC}[/tex] , substitute values
[tex]\frac{DI}{76}[/tex] = [tex]\frac{1}{2}[/tex] ( cross- multiply )
2DI = 76 ( divide both sides by 2 )
DI = 38
I need help FAST!!!Make sure you can explain the problem
Answers
Answer:
AB is not a tangent to the circle
Step-by-step explanation:
The angle between a tangent and the radius at the point of contact = 90°
Using Pythagoras' identity to determine if the triangle is right at A
If the square of the longest side is equal to the sum of the squares on the other 2 sides then A is right.
longest side = 15 , then 15² = 225
8² + 9² = 64 + 81 = 145 ≠ 225
Then AB is not a tangent to the circle
Line m and point P are shown below. Part A: Using a compass and straightedge, construct line n parallel to line m and passing through point P. Leave all construction marks. Part B: Explain the process that you used to construct line n.
Answers
Answer:
see the attached
Step-by-step explanation:
In the attachment, we will refer to the circles, bottom-to-top, as circles 1, 2 and 3. The black points of intersection, bottom-to-top, will be referred to by the letters A, B, C, D. The transversal line through the white point (W) and pink point (P) will be line q.
Step 1. Draw line q through point P so it intersects line m at some convenient point. Label that point W.
Step 2. Choose an arbitrary radius for your compass. Here, we have chosen it to be the length WB. It happens to be less than half the length of WP, but that is not a requirement.
Step 3. Draw an arc of the chosen radius centered at W and intersecting line q and line m. Label the intersection points A (on line m) and B (on line q). These intersection points are on circle 1.
Step 4. Draw an arc of the same radius centered at P. It should be a long enough arc that it would intersect the proposed line parallel to m. Label the intersection point on line q with label C. This intersection point is on circle 3.
Step 5. Adjust the compass width (radius) to the distance from A to B. This is the radius of circle 2.
Step 6. Draw an arc centered at C so that it intersects the arc of Step 4. This is circle 2, and you want it to intersect circle 3. Label that point of intersection D.
Step 7. Draw line PD parallel to m.
_____
The point of the construction is to create congruent alternate interior angles AWB and CPD, so that lines AW and PD are parallel.
5. Write down at least five number
pairs to solve the equation
(r - 2)(s + 1) = 100.
Answers
Answer:
1. (52 - 2) (1 + 1) = 1002. (12 - 2) (9 + 1) = 1003. (6 - 2) (24 + 1) = 1004. (3 - 2) (99 + 1) = 1005. (102 - 2) (0 + 1) = 100Step-by-step explanation:
1. let r= 52 and s= 1(52 - 2) (1 + 1) = 10050 × 2 = 1002. let r= 12 and s= 9(12 - 2) (9 + 1) = 10010 × 10 = 1003. let r= 6 and s= 24(6 - 2) (24 + 1) = 1004 × 25 = 1004. let r= 3 and s= 99(3 - 2) (99 + 1) = 1001 × 100 = 1005. let r= 102 and s= 0(102 - 2) (0 + 1) = 100100 × 1 = 100[tex]\tt{ \green{P} \orange{s} \red{y} \blue{x} \pink{c} \purple{h} \green{i} e}[/tex]
2t(t-1)-t+1 factorise
Answers
Answer:
this is the answer of this question
hoping it will help u
root 64 divided by root 3 64
Answers
Answer:
4
Step-by-step explanation:
4x4x4=64
Answer:
0.4193
Step-by-step explanation:
Root 64=8
Root 364=19.08...in 4 s.f
8÷19.08=0.4193...in 4 significant figures (4s.f)
2,000
10,000
milligrams
grams
6
7
HELPPPPPPPPP
Answers
Answer:
2000 milligrams —> 2 grams
6000 milligrams —> 6 grams
7000 milligrams —> 7 grams
10000 milligrams —> 10 grams
I hope I helped you^_^
b - 8 = 9
---------------
Answers
Answer:
b-8=9
b=9+8
b=17
Step-by-step explanation:
hope it will help you mark me as a brilliant.
Answer:
b=17
Step-by-step explanation:
b-8=9
first isolate the variable by adding 8 to both sides
this gives us
b=17
HELP idk what the slope is
Answers
Answer:
the slope is -3
Step-by-step explanation:
Answer:
the slope is 3
Step-by-step explanation:
A rectangular prism has a volume of 864 cubic units. How many cubic unit will fill the volume of the solid if they were packed without any gaps or overlaps
Answers
Answer: 864.
Step-by-step explanation:
The volume of a rectangular prism has a volume equal to:
V = W*L*H
W = width
L = length
H = height
We know that the volume is equal to 864 cubic units.
This means that if we want to fill the prism such that there is no gap or overlap, we should use exactly 864 unit cubes.
Answer 4. Please worth 100 points Answer ASAP!
Answers
Answer:
18/14 or 1 2/7
Step-by-step explanation:
13/14 - 2/14(1/7) = 11/14
11/14 + 7/14(1/2) = 18/14
[tex]\\ \sf\longmapsto \dfrac{13}{14}-\dfrac{1}{7}+\dfrac{1}{2}[/tex]
[tex]\\ \sf\longmapsto \dfrac{13-2+7}{14}[/tex]
[tex]\\ \sf\longmapsto \dfrac{11+7}{14}[/tex]
[tex]\\ \sf\longmapsto \dfrac{18}{14}[/tex]
[tex]\\ \sf\longmapsto \dfrac{9}{7}[/tex]
Kelly goes to the mall and buys a shirt for $27.99. This price is called the _________. The price paid by the retailer, for the product being sold, is known as the
Answers
Answer:
selling price; cost
Step-by-step explanation:
What is the measure of an interior angle of a regular octagon? O A) 120° OB) 135° O C) 145° OD) 160
Answers
Answer:
B = 135
Step-by-step explanation:
An octagon has 8 equal sides, and in total is 1080 degrees. Each angle is 135 degrees which adds up to 1080. Or:
135 × 8 = 1080.
Hope this helped.
I am a 2 dimensional shape that has four sides. I have two obtuse angles and two acute angles. I have two different sets of parallel sides. I also have two sides that are one length, and my other two sides are a different length.
Answers
Answer:
Quadrilateral
Step-by-step explanation:
Please Help! Select the correct systems of equations. Which systems of equations intersect at point A in this graph?
Answers
Answer:
The systems of equation satisfying the problem are
Y= 4x+9
Y= -3x-5
Y= 2x+5.
Y= 5x+11
Y= 3x+7
Y= -x-1
Step-by-step explanation:
From the graph in the figure
The point A ; x= -2,y=1
So the equations that will interest at point A are the equations that both pass through the point A.
To know the equations that pass through the point A we solve them simultaneously.
For
Y = 10x-1
Y= -3x-5
0= 13x +4
X= -4/13..... definitely not this one
For
Y= 4x+9
Y= -3x-5
0= 7x +14
-14= 7x
-2= x
Substituting the value of x into Y= 4x+9
Y= 4x+9
Y= 4(-2)+9
Y = -8+9
Y= 1
So it's definitely this one
Let's check to know if there is any more
Y = 2x+5
Y= x-1
0= x +6
Definitely not this one
For
Y= 2x+5.
Y= 5x+11
0 = 3x+6
-6= 3x
-2= x
Y= 2x+5.
Y=2(-2)+5
Y= 1
Definitely this one
For
Y= 3x+7
Y= -x-1
0 = 4x +8
-8= 4x
-2= x
Y= -x-1
Y= -(-2)-1
Y= +2-1
Y= 1
Definitely this one too
The correct options are system of equations shown by options (B)[tex]Y= 4x+9 \ and \ y = -3x-5[/tex]
(D) [tex]y= 2x+5 and \ y= 5x+11[/tex]
and (E) [tex]y= 3x+7 \ and\ y= -x-1[/tex].
Given, Coordinates of point A is (-2,1).
We have to find which systems of equations intersect at point A in this graph.
The system of equation which satisfy the point A(-2,1) will intersect at point A.
On putting the value of x=-2 and y= 1, in 1st pair
the equation doesn't satisfy.
similarly checking all the options, we find that the below system equations intersect at point A.
[tex]Y= 4x+9 \ and y = -3x-5 \\y= 2x+5 and \ y= 5x+11\\y= 3x+7 \ and y= -x-1[/tex]
Hence the correct options are system of equations shown by options (B), (D) and (E).
For more details follow the link:
https://brainly.com/question/1680887
Elena drank 3 liters of water yesterday. Jada drank 3/4 times as much water as much water as Elena. Lin drank twice as much water as Jada. Did jada drink more or less water than Elena?
Answers
Answer:
Jada drank less water than Elina.
Step-by-step explanation:
Water drunk by Elina = 3 liters
Jada drank the water [tex]\frac{3}{4}[/tex] times as much as water as Elina.
Therefore, water drunk by Jada = [tex]\frac{3}{4}\times 3[/tex]
= [tex]\frac{9}{4}[/tex]
= 2.25 liters
Lin drank water twice as much as Jada.
Therefore, Lin drank the amount of water = 2 × 2.25
= 4.5 liters
Since Jada drank 2.25 liters of water and Elina drank 3 liters
Therefore, Jada drank less water than Elina.
Find the greatest common factor for each of the following expressions, then factor each expression. a. 4p – 4 = ? b. x4 + x3 + x2 = ? c. 8p2 + 9p2q = ? d. x2y2 + 3xy – 4x – 2x4y3 = ? Factor each of the following expressions. a. 4a3 + 28a2 + 4a + 28 = ? b. x3 + 3x2− 2x − 6 = ? c. 8x2− 4xy + 2x − y = ? Factor each of the following, using the difference of perfect squares where possible. a. u2 – 100 = ? b. 4a2 − 49 = ? c. 81 − y2= ? d. 16q4− 16 = ? e. 9c3− 9c = ? f. 48a2b − 12b = ?
Answers
Answer:
1. a. Greatest common factor: 4
b. Greatest common factor: x2
c. Greatest common factor: p2
d. Greatest common factor: x
2. a. (a2 + 1)(4a + 28)
b. (x + 3)(x2− 2)
c. (4x+ 1)(2x−y)
3. a. u2 – 100 = (u + 10)(u − 10)
b. 4a2 − 49 = (2a + 7)(2a − 7)
c. 81 − y2= (9 + y)(9 − y)
d. 16q4− 16 = 16(q4 − 1) 16 (q4 −1) = 16(q2 + 1) (q2− 1) = 16(q2 + 1) (q + 1) (q − 1)
e. 9c3− 9c = 9c (c2− 1) = 9c(c + 1)(c − 1)
f. 48a2b − 12b = 12b (4a2− 1) = 12b(2a + 1)(2a − 1)
Step-by-step explanation:
I got it at PennFoster