Step-by-step explanation:
since theyre mutliplied you can separate
(125 / 25) x (x^3 / x^4) x (y^5 / y^2)
when you divide exponents, they subtract
Dont be afraid of negative exponents
(125 / 25) x (x^-1 / 1) x ( y^3)
x^-1 = 1/x
solve for 125/25 and put together the fractions
Answer:
[tex]\frac{5y^3}{x^1}[/tex] or [tex]\frac{5y^3}{x}[/tex]
Step-by-step explanation:
125/25 = 5
x³ - x⁴ = x⁻¹
y⁵ - y² = y³
All together; 5x⁻¹y³
Since the answer has to be positive exponents, it would be;
[tex]\frac{5y^3}{x^1}[/tex]
Hope this helps!
QUESTION 6 · 1 POINT
It takes George 16 minutes to sew one pillowcase. If he sews 6 pillowcases, how many minutes will
he have spent sewing? Do not include any units in your answer.
Answer: The answer is 96 minutes (or 1 hr 36 minutes)
Step-by-step explanation:
Since it takes George 16 minutes to sew one pillowcase, it would take him 96 minutes/1 hr 36 minutes to sew 6 pillowcases (16x6 or 16+16+16+16+16+16/6+6+6+6+6+6+6+6+6+6+6+6+6+6+6+6)
The measures of the angles of a triangle are shown in the figure below. Solve for x.
54°
Geometry
A right triangle adds up to 180°.
Make an equation to find x.
54°+x°+90°=180°
Add like-terms.
144°+x°=180°
Subtract 144 from both sides.
x°=36
Which equation is correct?
please help me :((
Answer:
sin x° = opposite ÷ hypotenuse
Step-by-step explanation:
Cosine is represented by the expression adjacent ÷ opposite and sine is represented by opposite ÷ hypotenuse. Only the fourth option lines up with the functions defined above.
If you are having trouble remembering the ratios for each trig function, you can use the acronym SohCahToa. This stands for:
S - sine
o - opposite
h- hypotenuse
C - cosine
a - adjacent
h - hypotenuse
T - tangent
o - opposite
a - adjacent
First one: 54 < -9c solve for c
Second one: 49> -7a solve for a
4^3 x4^5
A.16^8
B.16x15
C.4^15
D.4^8
the answer is in the picture
May someone solve and give explanation
Answer:
x = 15.7945
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
BracketsParenthesisExponentsMultiplicationDivisionAdditionSubtractionLeft to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityTrigonometry
[Right Triangles Only] SOHCAHTOA[Right Triangles Only] sinθ = opposite over hypotenuseStep-by-step explanation:
Step 1: Define
Identify variables
Angle θ = 33°
Opposite Leg = x
Hypotenuse = 29
Step 2: Find Angle
Substitute in variables [sine]: sin33° = x/29[Multiplication Property of Equality] Multiply 29 on both sides: 29sin33° = xRewrite: x = 29sin33°Evaluate: x = 15.7945Using the properties of equality to solve the equation -3x - 9 = -21, you would
add 9 and then divide by -3
add 9 and then multiply by -3
subtract 9 and then divide by -3
subtract 9 and then multiply by -3 ?
Plzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz
Answer:
Step-by-step explanation:
-3x - 5 = 16
add 5 to both sides of the equation
-3x = 21
divide both sides by -3
x = -7
---------------------
-4(y - 2) = 12
distribute the -4 to everything in the parentheses
-4y + 8 = 12
subtract 8 from both sides of the equation
-4y = 4
divide both sides of the equation by -4
y = -1
What is the scale factor of this dilation?
Answer:
the factor from 3 to 5 is
1 2/3
Describe the graph of a tangent function. State some important characteristic
Answer:
The graph of a tangent function is defined as the ratio if the opposite side of the adjacent side of any angle, specifically a right-angled triangle.
the difference of place values of the digit 3 in 53,230
The diagram shows a sector OAPB of a circle, centre O.
AB is a chord of the circle.
OA = OB = 5.4 cm.
Angle AOB = 72°
Calculate the area of the shaded segment APB.
Give your answer correct to 3 significant figures.
Answer:
4.44 cm²
Step-by-step explanation:
If the diagram attached below is required to complete the question,
Applying,
Area of the shaded segment(A) = Area of the sector- area of the triangle
A = (πr²∅/360)-(r²sin∅/)2................ Equation 1
Where r = radius of the circle, ∅ = angle at the center of the circle,π = pie
From the question,
Given: r = 5.4 cm, ∅ = 72°
Constant: π = 3.14
Substitute these values into equation 1
A = (3.14×5.4²×72/360)-(5.4²/2×sin72)
A = 18.31-13.87
A = 4.44 cm²
what is meaning of volume
Step-by-step explanation:
Volume is the measure of the capacity that an object holds. For example, if a cup can hold 100 ml of water up to the brim, its volume is said to be 100 ml. Volume can also be defined as the amount of space occupied by a 3-dimensional object or solid shape.
Answer:
the amount of space that a substance or object occupies.
basically the volume of a container, like space in a container.
Use the distributive property and combine like terms to write an equivalent expression: 5(3x + 2) - 8(x +1)
Answer:
7x + 8
Step-by-step explanation:
15x + 10 - 8x + 8
combine like terms
7x + 8
2. There are 476,092 fish in the city aquarium. That number
of fish is 476,070 more fish than Nadia has in her aquarium.
How many fish does Nadia have in her aquarium?
Answer:
Nadia has 22 fish
Step-by-step explanation:
476,092-476,070= 22
Answer:
The answer is 952,152 fishes
Step-by-step explanation:
No. of fish in the city aquarium 476,092
No. of fish Nadia's aquarium has= 476,070 more than
More than= +
476,092+476,070=952,152
The function g(x) is defined by the equation g(x) = -3x² + x - 1.
Which is the value of g(1)?
Answer:
-3
Step-by-step explanation:
g(1) = -3x² + x - 1
= -3([tex]1^{2}[/tex]) + 1 -1
= -3(1) + 1 - 1
= -3 +1 -1
g(1) = -3
Just put the 1 everywhere you see an x.
Solve
Determine whether each expression represents the statement divide the sum 15 and 6 by the difference of 10 and 3.
Answer:
[tex]\frac{15+6}{10-3}[/tex]
Step-by-step explanation:
Sum of 15 and 6 = 15 + 6
Difference of 10 and 3 = 10 - 3
So, the expression is
[tex]\frac {15 + 6}{10-3}[/tex]
This is the required expression.
Someone help dont scam or you get reported
Answer:
$0.21
Step-by-step explanation:
Divide $0.84 for 4: $0.21
Answer:
0.21
Step-by-step explanation:
well 4 cars
.84 a pack of 4
42=50%
21=25%
0.21 per car
Which problem is best represented by the expression 12÷18?
Answer:
12 divided by 18 equals 0.666666666666
Which of the following are exterior angles? Check all that apply.
Answer:
d is the exterior angles hope it helps
I need help with this
Answer:
A. w+2
Step-by-step explanation:
(w²+2w)/ w =
w(w+2)/w = w+2
Answer:
a) w+2
Step-by-step explanation:
A=w^2+2w
width is w
let's consider length is x
area=length×width
so
[tex] {w}^{2} + 2w = xw[/tex]
[tex]x = \frac{ {w}^{2} + 2w}{w} = w + 2[/tex]
A book store offers a sale on a new book. The sale is "buy two of the books and get the third book free." Tommy pays $26 for three of the books. What is the average amount of money that Tommy saved on each of his three books due to the sale? Round to the nearest cent.
Answer:
Salvo en cada library 4.33
Find the area of the circle with a circumference of
30
π
. Use 3.14 for
π
. Round to the nearest hundredth.
Area in in decimal form: ______
Options:
Answer:
706.50 mm^2
Step-by-step explanation:
The formula to find the circumference is 2πr (r : radius)
if the circumference is 30π the the radius is = 15
to find the area we use the following formula :
π*r^2
r = 15 and π is given as 3.14
(3.14)*15^2 = 706.50 mm^2
A restaurant charges $100 to rent its banquet room for an event. It also charges $15 to serve dinner to each guest. Write an equation for the total cost (t) of renting the banquet room in terms of the number of guests (g). How many guests attend if the total cost of an event is $2200?
Answer:
t = 100 + 15x
= 140 guests
Step-by-step explanation:
Rent for banquet room = $100
Dinner per guest = $15
Let
x = number of guests
Total cost = Rent for banquet room + (Dinner per guest * number of guests
Total cost, t = 100 + 15x
How many guests attend if the total cost of an event is $2200?
t = 100 + 15x
2,200 = 100 + 15x
2200 - 100 = 15x
2,100 = 15x
x = 2,100/15
x = 140 guests
x = number of guests = 140 guests
Differentiate with respect to t
Assume x = x(t)
Assume y = y(t)
Assume z = z(t)
x^2 - y^3 + z^4 = 1
Answer:
[tex]\displaystyle 2x\frac{dx}{dt}-3y^2\frac{dy}{dt}+4z^3\frac{dz}{dt}=0[/tex]
Step-by-step explanation:
We want to differentiate the equation:
[tex]x^2-y^3+z^4=1[/tex]
With respect to t, where x, y, and z are functions of t.
So:
[tex]\displaystyle \frac{d}{dt}\left[x^2-y^3+z^4\right]=\frac{d}{dt}\left[1\right][/tex]
Implicitly differentiate on the left. On the right, the derivative of a constant is simply zero. Hence:
[tex]\displaystyle 2x\frac{dx}{dt}-3y^2\frac{dy}{dt}+4z^3\frac{dz}{dt}=0[/tex]
Please help me with this im pretty confused
Answer:
11
Step-by-step explanation:
sqrt(121)
What number times itself gives 121
11*11 = 121
-11 * -11 = 121
Answer:
the square root of 121 is 11
which is the second option
The temperature inside the freezer is −10°C and the temperature of the room is 32°C. How much higher is the temperature of the room than the temperature inside the freezer?
Answer:
42°C
Step-by-step explanation:
32-(-10) =
32 + 10 = 42
Minus a negative makes a positive
Ashima has a Cumulative or Recurring Deposit Account in a bank for 5 years at 9% p.A. At the time of maturity, she gets 51,607.50. Find the monthly instalment.
Answer:
Monthly deposit= $684.23
Step-by-step explanation:
Giving the following information:
Number of periods= 5*12= 60 months
Interest rate= (0.09/12)= 0.0075
Future value= $51,607.5
To calculate the monthly deposit, we need to use the following formula:
FV= {A*[(1+i)^n-1]}/i
A= monthly deposit
Isolating A:
A= (FV*i)/{[(1+i)^n]-1}
A= (51,607.5*0.0075) / [(1.0075^60) - 1]
A= $684.23
What is the value of z?
A.35 B.25 C.70 D.140
Answer:A
Step-by-step explanation:
Answer:
D is the correct answer or that question
HURRY PLEASE 100 POINTS WILL GIVE BRAINLIEST
Describe how the rules of adding and subtracting fraction are similar and different from the rules of adding and subtracting rational expressions. When are excluded values applied and why are they needed? Give an example. This needs to be an in depth answer.
Answer:
To add or subtract two rational expressions with the same denominator, we simply add or subtract the numerators and write the result over the common denominator.
When the denominators are not the same, we must manipulate them so that they become the same. In other words, you must find a common denominator.
Step-by-step explanation: