Step-by-step explanation:
b^(-2) / ab^(-3)
= 1/a * [b^(-2)/b^(-3)]
= 1/a * b = b/a.
P.S. Law of Indices: a^m / a^n = a^(m-n)
Answer: [tex]\frac{b}{a}[/tex]
Step-by-step explanation:
A variable raised to a negative exponent p is equivalent to 1 divided by the variable raised to a positive exponent p.
In this equation, this rule applies to both b variables as follows:
[tex]b^{-2} = \frac{1}{b^2}[/tex]
[tex]\frac{1}{b^{-3}} = \frac{1}{\frac{1}{b^3} } = \frac{b^3}{1}[/tex]
After 'solving' for each negative exponent, you can plug them into the previous negative exponents:
[tex]\frac{1}{b^2} * \frac{b^3}{a} = \frac{b^3}{ab^2}[/tex]
Afterwards, cancel out b^2 from the top and bottom of the equation to get your final answer, as b^2 / b^2 = 1
[tex]\frac{b}{a}[/tex]
Which of the following brands of hat should she buy ?
Answer:
C. Either- The hats have equal volumes
Write the product in its simplest form:
9c4.9c8
Enter the correct answer.
OOH
DONE
Clear all
?
Step-by-step explanation:
9c⁴ * 9c⁸
= 9 * 9 * c⁴ * c⁸
= (81)(c¹²)
= 81c¹²
Note: a^m * a^n = a^(m+n) by Law of Indices.
Simplify (4ab^2)^3
Any help is appreciated
Answer:
[tex]64a^{3} b^{6}[/tex]
Step-by-step explanation:
1) Distribute the exponent outside of the parentheses to the terms inside the parentheses. In this case, multiply the 3 outside the parentheses with the exponent of each of the terms inside:
[tex](4ab^{2} )^3[/tex]
[tex]4^{3}[/tex] · [tex]a^{3}[/tex] · [tex]b^{6}[/tex]
2) The variables are fine - you can't simplify them further. All you need to do now is multiply the [tex]4^{3}[/tex] out. Remember that it's kind of like asking, "what is 4 × 4 ×4?"
[tex]4[/tex] · [tex]4[/tex] · [tex]4[/tex] · [tex]a^{3}[/tex] · [tex]b^{6}[/tex]
[tex]16[/tex] · [tex]4[/tex] · [tex]a^{3}[/tex] · [tex]b^{6}[/tex]
[tex]64a^{3} b^{6}[/tex]
Therefore, [tex]64a^{3} b^{6}[/tex] is the answer.
Which of these figures has rotational symmetry?
Rotational symmetry, also known as radial symmetry, is the quality that a form exhibits when it looks the same after a partial turn rotation. The correct option is D.
What is Rotational Symmetry?
Rotational symmetry, also known as radial symmetry, is the quality that a form exhibits when it looks the same after a partial turn rotation. The degree of rotational symmetry of an item is the number of possible orientations in which it appears precisely the same for each revolution.
Since for the rotational symmetry, the figure should look the same even if the figure is rotated. Thus, the figure that has a rotational symmetry is a rhombus. Hence, the correct option is D.
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The sugar company produced 6,236,854,265 sugar cubes last month. This month the company produced 7,771,635,486 sugar cubes. What number sentence best represents how to find the total estimate of sugar cubes produced?
A. 6,000,000,000 + 7,000,000,000
B. 6,000,000,000 + 8,000,000,000
C. 7,000,000,000 + 7,000,000,000
D. 7,000,000,000 + 8,000,000,000
Answer:
the answer is c becaus it id the longes tone
Step-by-step explanation:
Answer:
I believe the answer is B.
sorry if i'm wrong .-.
Step-by-step explanation:
Solve by Substitution. List the ordered pair for the solution
y=-x-3
y=-5x+1
I need help pls and explain
Answer:
C. 29
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Step-by-step explanation:
Step 1: Define Equation
1/4(d - 2) = 6
Step 2: Solve for d
Multiply 4 on both sides: d - 2 = 24Add 2 to both sides: d = 26Step 3: Find
Define condition: d + 3Substitute in d: 26 + 3Add: 29Sara bought a pen at 25$ and sold it for $30. She then bought the same pen back at $35 and sold it again for $40. Did she make or lose money from these two deals in the end.
Answer:
honestly if u ask me ima have to say she lost some money cause
Step-by-step explanation:
she got it for 25 right then she got an exstra 5 dollars cause she sold it
for 30 then she got the same pen for 35 when she got it for 25 the first time so 25-35 = 10 meaning she lost 10 dollars and got 10 dollars back because if u add the 5 dollars from the 30 then from the 40 u get ten meaning
she just got her money right back
Find the equation of a line, in slope-intercept form, that is parallel to y = 3x + 5, and passes through (5, 11)
Answer:
y=3x-4
Step-by-step explanation:
There are 4 quarts in 1 gallon. A restaurant orders 112 quarts of milk to use 3 points as an ingredient in holiday baking. How many gallons of milk did they order?
Answer:
The restaurant ordered 28 gallons of milk.
Step-by-step explanation:
We have 4 quarts in 1 gallon:
[tex] \frac{1 G}{4 Q} [/tex]
Since the restaurant orders 112 quarts we have:
[tex] \frac{1 G}{4 Q}*112 Q = 28 G [/tex]
Hence, the restaurant ordered 28 gallons of milk.
I hope it helps you!
Write an equation of the line that passes through a pair of points:
(4-5. - 2), (3-1)
a. y = 1/8x+11/8
b. y = 1/8x-11/8
c. y = -1/8×11/8
d. y = 1/8x+8/11
Please select the best answer from the choices provided A OB
Answer:
b)
The equation of the line that passes through a pair of points
[tex]y = \frac{-1}{8} ( x ) -\frac{11}{8}[/tex]
Step-by-step explanation:
Explanation:-
Given points are ( 5 ,-2) and ( 3,-1)
slope of the line
[tex]m = \frac{y_{2} -y_{1} }{x_{2}-x_{1} } = \frac{-1-(-2)}{-3-(5)} = \frac{1}{-8}[/tex]
The equation of the line that passes through a pair of points
[tex]y - y_{1} = m ( x - x_{1} )[/tex]
[tex]y - (-2) = \frac{-1}{8} ( x - (5) )[/tex]
[tex]y = \frac{-1}{8} ( x ) +\frac{5}{8} -2[/tex]
[tex]y = \frac{-1}{8} ( x ) +\frac{5-16}{8}[/tex]
[tex]y = \frac{-1}{8} ( x ) -\frac{11}{8}[/tex]
12+(8divided by 2/3)- 2
Answer:
22
Step-by-step explanation:
12+(8/(2/3)-2
22
Answer:
22
Step-by-step explanation:
First divide 8 by 2/3 ( since it’s in parentheses) and that gives you 12. Then add 12 + the 12 that was in parentheses. That leaves you with 24-2 which equals 22.
Write a system of equations to describe the situation below, solve using any method, and fill in the blanks. Today's cafeteria specials at a high school in Ashland are a deluxe turkey sandwich and a chef salad. During early lunch, the cafeteria sold 14 turkey sandwiches and 61 chef salads, for a total of $150. During the late lunch, 14 turkey sandwiches and 25 chef salads were sold, for a total of $78. How much does each item cost? A turkey sandwich costs $ , and a chef salad costs $ .
Answer:
Equation 1: 14t + 61s = 150
Equation 2: 14t + 25s = 78
Use Elimination (x)
(-1) (14t + 25s) = (78) (-1)
-14t - 25s = -78
14t + 61s = 150
+ -14t - 25s = -78
--------------------------
36s = 72
s = 2
Salad costs $2
Then find t
14t + 61(2) = 150
14t + 122 = 150
14t = 28
t = 2
Sandwich costs $2
If 3/5 of a cup of water fills 3/4 of a plastic container, how many containers could you fill with one cup of water?
Answer:
3/5 cup of water = 3/4 of container
1 cup of water = 3/4 * 5/3 of container
= 5/4 of container
Answer:
Step-by-step explanation:
ok so first you have to make equalt denominaters
3/5 = 12/20
3/4 = 15/20
so you can fill one and 3/20 with one full glass of water.
78 divided by 21 with remainder
Answer:
3 with a remainder of 15
Step-by-step explanation:
Long division
How is the future value of $500 invested for one year at 6% annual interest computed?
If you put $500 in a bank with a 6% investment rate (which is rather high honestly) then next year you would have $530 in the bank, then 561.80 and so on. I feel like I misunderstood the question, but hopefully this helps, if at all.
May I have brainliest please? :)
What type of angles are between the parallel lines, but different side of the transversal
Answer:
Alternate interior angles
Step-by-step explanation:
What integer gaining 3 pounds plz tell me
Answer:
i was about to answer but i forgot sorry
Step-by-step explanation:
What is the answer to -12=x+8divided by -3
[tex] - 12 = x + \frac{8}{ - 3} [/tex]
[tex] - 12 - ( \frac{8}{ - 3} ) = x[/tex]
[tex] - 12 - \frac{8}{3} = x[/tex]
[tex] \frac{ - 36}{3} - \frac{8}{3} = x[/tex]
[tex] \frac{ - 36 - 8}{3} = x[/tex]
[tex] \frac{44}{3} = x[/tex]
4) Highlight Time Eemaining 00:05:47 Hide Tools Find the domain and range of the graphed function. -) A) domain: (-0,00) range (co, 0) B) domain: (-00,00) range (-0, 10] domain: (-00,00) range: [0, 0) D) domain: (-3, 4) range: (-0,0) Activat Go to Set
Answer:
Option A
Step-by-step explanation:
Domain of a function is a set of x-values (input values).
Range of a function is a set of y-values (output values).
Since, input and output values of the function given in the graph vary from negative infinity to positive infinity
Domain of the function given in the graph will be,
(-∞, ∞)
And range of the function is,
(-∞, ∞)
Option (A) will be the correct option.
What is 4/6 x 12/28 in simplest form
Answer:
2/7
Step-by-step explanation:
Answer:
2/7
Step-by-step explanation:
PLEASE HELP ASAP BEST AND CORRECT ANSWER GET BRAINLIEST
Marla drove m miles. Lawrence drove 15 more miles than Marla. Jerry drove 2 more miles than Marla. Drag and drop the expressions into the boxes to write an expression that represents the total number of miles Marla, Lawrence, and Jerry drove in all.
___ + (plus) ___ + (plus) ___
m
15
2
m + 2
m + 15
m + 30
m - 2
m - 15
fill in the three blanks using three of those answers please!!
Answer:
m + (m + 15) + (m + 2)
Step-by-step explanation:
Even thought we don't know the value of m, we can use expressions to represent it.
Hope this helps.
The required expression is m + (m + 15) + (m + 2) which represents the total number of miles Marla, Lawrence, and Jerry drove in all.
What is the algebraic expression?Algebraic expressions are mathematical statements with a minimum of two terms containing variables or numbers. Unknown variables, numbers, and arithmetic operators make up an algebraic expression.
Let's represent Marla drove "m" miles.
Since Lawrence drove 15 more miles than Marla.
So, this means the expression m + 15
Then Jerry drove 2 more miles than Marla.
So, this means the expression m + 2
Now, the total number of miles = m + (m + 15) + (m + 2)
This expression represents the total number of miles Marla, Lawrence, and Jerry drove in all.
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PLEASE PLEASE HELP ME. PLEASE
Answer:
x ≈ 8.6 cm
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Equality PropertiesTrigonometry
[Right Triangles Only] SOHCAHTOA[Right Triangles Only] sinθ = opposite over hypotenuseStep-by-step explanation:
Step 1: Identify
Angle θ = 35°
Opposite Leg = x
Hypotenuse = 15
Step 2: Solve for x
Substitute [Sine]: sin35° = x/15Isolate x: 15sin35° = xRewrite: x = 15sin35°Evaluate: x = 8.60365Round: x ≈ 8.6What is the simplified form of this expression 3x+4+5x+3
The simplified form of the given expression is 8x+7
Simplifying an ExpressionFrom the question, we are to write the simplified form of the given expression
The given expression is
3x+4+5x+3
Collect like terms3x+5x+4+3
Simplifying (Add the like terms together)8x+7
Hence, the simplified form of the expression is 8x+7
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Need the answer, please!
Answer:
a) Red marble: 6/17
b) Green marble: 11/17
c) Purple marble : 0/17 = 0
d) a red or a green marble: 1
Step-by-step explanation:
Number of marbles: 17
Probability to pick one red marble: (# successes) / (# total) = 6/17
Probability to pick a green marble: (# successes) / (# total) = 11/17
Probability to pick a purple marble: (# successes) / (# total) = 0/17 = 0
Probability to pick a green marble or a red marble: Prob one green + prob one red = 11/17 + 6/17 = 17/17 = 1
What is the solution set for the following intequality -3x+2>11
Answer:
X < -3
Step-by-step explanation:
Answer:
Step-by-step explanation:
-3x+2>11
-3x-2>11-2
-3x>9
Divide by -3 on both sides
X>-3
One teaspoon equals 0.5 centiliters. How many liters equal 50 teaspoons? Round the answer to the nearest hundredth. 0.25 liters 0.50 liters 25 liters 50 liters
Answer:
Your answer is 0.25
Step-by-step explanation:
Dont give me the brainiest give the other person the brainiest
instructions: Find the actual distance if the map has a scale of 2 cm : 21 km. According to your Boss’ research, Manhattan and The Bronx are 8.6 cm apart on the map. What is their actual distance?
Answer:
Step-by-step explanation:
If we have the scale
2 cm: 21 km
8.6 cm will be
x=actual distance
x=(8.6*21)/2=90.30 km
Set up an integral of the form
dc h2(y) h1(y) f(x,y) dx dy
for the volume of the region enclosed by the surfaces z = 2 - x2 - y2 and z = 2x + 2y. What is h2(0)+f(0,0)?
A. 5.
B. 13 + 2.
C. V2+1.
D. V3+1.
E. V2 + 2.
Answer:
Option D.
[tex]\mathbf{\sqrt{3}} +1}[/tex]
Step-by-step explanation:
The given integral is:
[tex]\int^d_c \int ^{h_2(y)}_{h_1(y)} f(x,y)\ dx \ dy[/tex]
The intersection curves enclosed by the surfaces:
z = 2 - x² - y² and z = 2x + 2y
This implies that:
[tex]2x +2y = 2 - x^2- y^2[/tex]
[tex](x^2 + 2x) +(y^2 + 2y) = 2 \\ \\ (x+1)^2 + (y + 1)^2 = 4 --- (1)[/tex]
We will realize that the curve of this intersection is a circle which is centered at (-1, -1) of the radius 2.
So, from equation (1)
[tex](x + 1)^2 = 4 - (y + 1)^2[/tex]
x + 1 = ±[tex]\sqrt{4 - (y + 1)^2}[/tex]
[tex]x = -1 \pm \sqrt{4 - (y+1)^2}[/tex]
Now,
[tex]h_2 (y) = -1 + \sqrt{4 - (y +1)^2}[/tex] and [tex]h_1 (y) = -1 - \sqrt{4 - (y +1)^2}[/tex]
[tex]h_2(0) = -1 + \sqrt{4-1}[/tex]
[tex]h_2(0) = -1 + \sqrt{3}[/tex], and:
[tex]At \ \ (-1, -1); \\ \\ z = 2 - (-1)^2 - (-1)^2 \\ \\ z = 2 - 1 - 1 \\ \\ z = 0[/tex]
and
[tex]z = 2x + 2y \\ \\ z = 2(-1) + 2 (-1) \\ \\ z = -2 + (-2) \\ \\ z = -4[/tex]
The surface z = 2-x²-y² lies above z = 2x + 2y in the region of intersection
∴
[tex]f(x,y) = (2 - x^2 - y^2) - (2x + 2y) \\ \\ f(0,0) = 2 - 0 \\ \\ f(0,0) = 2[/tex]
So, h₂ (0) + f(0,0) = [tex]\sqrt{3}} - 1 + 2[/tex]
h₂ (0) + f(0,0) = [tex]\mathbf{\sqrt{3}} +1}[/tex]
What is the formula for a quadratic function?
9514 1404 393
Explanation:
The standard form of a quadratic function and the formula for finding its zeros are shown here:
[tex]f(x)=ax^2+bx+c \qquad\text{standard form of a quadratic function}\\\\x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a} \qquad\text{formula for finding $x$ such that $f(x)=0$}[/tex]