Step-by-step explanation:
By binomial theorem,
T(r+1) = nCr * a^(r+1) * b^r
Term 4 = 7C3 * (2x)^4 * (-5y)^3 = 35 * (16x^4) * (-125y^3) = -70000x^4y^3.
a piece of lumber is 2 1/4 ft long is cut into 3 equal pieces .How long will each piece of cut wood be ?
Answer: Each piece would be 3/4 feet long
Step-by-step explanation:
If the piece of lumber is 2 1/4 ft long, and it is cut into 3 pieces then divide
2 1/4 by 3 to find out how long each piece of cut wood would be.
2 1/4 is the same as 9/4
[tex]\frac{9}{4} / \frac{3}{1}[/tex] = 9/12 which also simplifies to 3/4
.4r when r=6
someone help
Answer:
24
Step-by-step explanation:
4(6)=24
A 32 ounce soft drink costs $1.83. Approximately what is the price per ounce
Step-by-step explanation:
divide 32 by 1.83 to get the answer
the answer is 17.4863387978
round it off
the final answer should be:
17.5 cents
The price per ounce is approximately 5.72 cents per ounce.
What are the ratio and proportion?The ratio is the division of the two numbers.
For example, a/b, where a will be the numerator and b will be the denominator.
Proportion is the relation of a variable with another. It could be direct or inverse.
Given that,
A 32-ounce soft drink costs $1.83.
So,
32 ounce ⇒ $1.83
Divide by 32 into both sides
1 ounce ⇒ 1.83/32
1 ounce ⇒ $0.0571875 = 5.72 cents.
Hence"The price per ounce is approximately 5.72 cents per ounce".
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A stocks value decreased by 7 points each day for 2 weeks. Which numeric expression can be used to find out what the stock value was after the 2 weeks?
Answer:
x - 98
Step-by-step explanation:
Given the question :
A stocks value decreased by 7 points each day for 2 weeks. Which numeric expression can be used to find out what the stock value was after the 2 weeks?
Let the initial value of the stock = s
Rate of decrease = 7 points per day
Number of days in a week = 7
Hence, 2 weeks = ( 2 * 7) = 14 days
Total decrease in stock over the 2 weeks period :
(Decrease per day × number of days)
(7 points × 14) = 98 points
Stock value after 2 weeks :
(Initial stock value - decrease in stock over the 2 weeks period)
= x - 98
Use the number line to determine which of the following statements is true. Each tick is 1 unit. The quotient of P and S is positive. The absolute values of Q and R are the same. Q and S are opposite numbers. The product of R and S is negative.
Answer:
The absolute values of Q and R are the same
Step-by-step explanation:
Hope this helps! I had the same question lol
The absolute values of Q and R are the same option (B) is correct after applying the arithmetic operation.
What are arithmetic operations?The study of numbers and their operations, which are relevant to all other fields of mathematics, is part of the discipline of arithmetic operations. Addition, subtraction, multiplication, and division are the basic operations that make up this system.
It is given that:
A number line is shown in the picture.
From the number line:
= 4/2=2
The absolute values of Q and R are the same.
Thus, the absolute values of Q and R are the same option (B) is correct after applying the arithmetic operation.
Use the number line to determine which of the following statements is true. Each tick is 1 unit.
The quotient of P and S is positive.
The product of R and S is negative.
The absolute values of Q and R are the same.
Q and S are opposite numbers.
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Someone please help me! I only have one attempt left.
Answer:
x=18
Step-by-step explanation:
10x-4+x-14=180
11x-18=180
11x=180+18
11x=198
x=[tex]\frac{198}{11}[/tex]
x=18
Answer:
x = 18
Step-by-step explanation:
(10x -4) + (x-14) = 180 (for linear pair)
<=> 10x + x - 4 - 14 = 180
<=> 11x - 18 = 180
<=> 11x = 180+18 = 18 . 10 + 18 = 18 . 11
<=> x = 18
NEED ALL THESE 3 ANSWERED!!! 15 POINTS!!!
① Solve the equation for x:
○ 7 - x / 3 = 5
② Solve the equation for x:
○ 8 - 1/2x = 3
③ Solve the equation for x:
○ 3x = 4x - 5
Answer:
1) x= - 8
2) x = 10
3) x= 5/7
4(-x+4)=12 multi step equation
Answer:
1
Step-by-step explanation:
4(-x+4)=12
first is to open the bracket giving u
-4x+16=12
since 16 is adding where it is when takrn to the other side it will be subtracting giving u
-4x=12-16
-4x=-4
x= -4/-4
x=1
Solve for x: -1 < x + 3 < 5
Answer:
[tex]x=-4<x<2[/tex]
Step-by-step explanation:
[tex]-1<x+3<5[/tex]
This inequality consists of 3 parts.
To solve this inequality, you will have to add -3 in each part of the inequality.
[tex]1+-3<x+3+-3<5+-3[/tex]
The answer to this is:
[tex]-4<x<2[/tex]
So that means x is equal to
[tex]x=-4<x<2[/tex]
Hope this helps!
Which statement correctly describes the translation of trapezoid P to create the image
Answer:
C. 8 units to the right and 5 units down
Step-by-step explanation:
Because if we move the trapezoidal to the right 8 times, then 5 units down. It becomes the image need it needs to be.
I hope this helps! I'm sorry if it's wrong.
Two equations are shown. Equation 1: -0.5x-4=1.5 Equation 2: -0.5(x-4)=1.5 Select each statement that must be true. PLZ HELP ME!
Answer:
Equation 2 is correct
Step-by-step explanation:
Equation 1 is 2, not 1.5
Answer: C and D
Step-by-step explanation:
The value of c in the first one is less then the value of the second one. Also equation 1 equals -11 and equation 2 equals 1 so that’s why it’s c and d.
Find each sum or difference 12+ (-4)
Answer:
12 + (-4) = 8
Step-by-step explanation:
12 + (-4) = 8
12 + (4) = 16?
Answer:
8
Step-by-step explanation:
You remove the plus sign when you have both a negative and positive sign.
Now you are left with 12-4 which equals 8.
Hope that helped
What is f(x) times g(x)
Answer:
[tex]fg {x}^{2} [/tex]
Step-by-step explanation:
f(x) × g(x)
[tex]fg {x}^{2} [/tex]
it is not easy to explain but i hope u like it ❤️❤️❤️
For any question comment me
A store is having a sale on hats. The sale is buy one hat, get one 50% off. The original price of one hat is $24.98. Cole bought several hats, and the total cost was $99.92 , How many hats did cole buy ?
Answer:
8 hats
Step-by-step explanation:
1. .50 x 24.98
2. 12.49 x 8
3. solve 12.49 x 8
4. Equals 99.92
Hope this helps you an stay safe:)
In the 21st century, people measure length in feet and meters. At various points in history, people measured length in hands, cubits, and paces. There are 9 hands in 2 cubits. Write an equation to express the relationship between hands, LaTeX: hh, and cubits, LaTeX: cc. Explain your reasoning under your equation.
Answer: 1 hand = 0.22... cubits.
Step-by-step explanation:
We want to write the relation between hands and cubits.
We know that there are 9 hands in 2 cubits.
So we can write:
9 hands = 2 cubits.
Now, we want to have an unit in the left side (so we can see how many cubits are equal to exactly one hand).
Then we can divide by 9 in both sides of the equality.
(9 hands)/9 = (2 cubits)/9
1 hand = 0.22... cubits.
Answer:
22.5 hands = 3 paces
Step-by-step explanation:
Nobody answered b yet again.
What is the solution to the proportion? Round the answer to the nearest tenth if necessary. StartFraction 52 over x EndFraction = StartFraction 9.5 over 3.25 EndFraction x = 14.6 x = 17.8 x = 157.8 x = 169.0
Answer: 17.8
Step-by-step explanation:
The solution to the proportion would be x = 17.8 which is the correct option (B).
What is Ratio?A ratio is defined as a relationship between two quantities, it is expressed as one divided by the other
What are Arithmetic operations?Arithmetic operations can also be specified by adding, subtracting, dividing, and multiplying built-in functions. The operator that performs the arithmetic operations is called the arithmetic operator.
/ Division operation: Divides left-hand operand by right-hand operand
For example 4/2 = 2
We have been the given proportion as:
⇒ 52 : x = 9.5 : 3.25
⇒ 52/x = 9.5/3.25
⇒ 52/x = 2.923
Cross multiplication, and we get
⇒ x = 52/2.923
Apply the division operation,
⇒ x = 17.8
Therefore, the solution to the proportion would be x = 17.8.
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The diameter of a circle increased from 25cm to 25.8cm. Find the percentage increase in its circumference.
Answer:
3.1% increase
Step-by-step explanation:
Diameter1=25cm
Radius1=12.5cm
Circumference1=2x22/7x12.5
Diameter2=25.8cm
Radius2=12.9cm
Circumference2=2x22/7x12.9
% increase =Circumference2-Circumference1/Circumference2 x 100%= 2x22/7x12.9-2x22/7x12.5 / 2x22/7x12.9 x100%
12.9-12.5/12.9 x 100%
0.4/12.9 x 100%
4/129 x 100%
3.1%
which equation should you solve to find x?
Answer:
B
Step-by-step explanation:
sin26° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{x}{10}[/tex] → B
The equation that should be solved in order to find x is [tex]sin\ 26^\circ =\frac{x}{10}[/tex]. The correct option is C. [tex]sin\ 26^\circ =\frac{x}{10}[/tex]
Trigonometry: Solving a right triangleFrom the question, we are to determine which equation should one solve to find x
Considering the right triangle in the diagram,
Opposite = x
Adjacent = 9
Hypotenuse = 10
By SOH CAH TOA
We have that
[tex]sin\theta = \frac{opposite}{hypotenuse}[/tex]
Where θ is the angle
Then, we can write that
[tex]sin\ 26^\circ =\frac{x}{10}[/tex]
This is the equation that should be solved in order to find x
Hence, the equation that should be solved in order to find x is [tex]sin\ 26^\circ =\frac{x}{10}[/tex]. The correct option is C. [tex]sin\ 26^\circ =\frac{x}{10}[/tex]
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to which set of numbers does the number-5 belong? select all that apply
A.integer
B.natural numbers
C.rational numbers
D.real numbers
E.whole numbers
The endpoints of EF
are E(1,3) and F(-2,8).
Find EF.
Answer:
EF = [tex]\sqrt{34}[/tex] ≈ 5.83
Step-by-step explanation:
Calculate EF using the distance formula
d = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }[/tex]
with (x₁, y₁ ) = E(1, 3) and (x₂, y₂ ) = F(- 2, 8)
EF = [tex]\sqrt{(-2-1)^2+(8-3)^2}[/tex]
= [tex]\sqrt{(-3)^2+5^2}[/tex]
= [tex]\sqrt{9+25}[/tex]
= [tex]\sqrt{34}[/tex] ≈ 5.83 ( to 2 dec. places )
HELP! I'LL MARK BRAINLEST!! Write a story that matches the expressions and equation shown on the left. Then solve the equation and find each person’s age.
Answer:
Felipe is "F" years old, Felipe's sister is 6 years younger then Felipe, Felipe's mom is times minus 6
Step-by-step explanation:
The horizontal distance of E is 9 units to the east of point F. Determine the coordinates of F if the coordinates of E are (3,8).
Answer:
(-6,8)
Step-by-step explanation:
By reading the question you can determine that point E is to the east, or the right, of point F by 9 units. This ultimately means you must subtract 9 units on the horizontal (x-axis) in order to get to point F.
A rectangle has side lengths of 2 units and 4 units. Can you form a different quadrilateral using the same four side lengths? Explain why or why not Support your explanation with drawings. please explain this for me. im so lost
Answer:
a kite
Step-by-step explanation:
Yes, you can form a kite. The top two would be 2 units, and the bottom two would be 4 units. It would still have two of each, just like the rectangle, but would be a different quadrilateral.
Alternately, you could turn the rectangle into a parallelogram by leaning it. Rectangles have 90 degree angles, so it wouldn't be a rectangle anymore.
What is the mass of the Apple juice with a volume of 200.0 mL? The density of apple juice is 0.789 g/mL.
Answer:
mass = 157.8 gStep-by-step explanation:
The mass of a substance when given the density and volume can be found by using the formula
mass = Density × volumeFrom the question
Density = 0.789 g/mL
volume = 200 mL
Substitute the values into the above formula and solve for the mass
That's
mass = 0.789 × 200
We have the final answer as
mass = 157.8 gHope this helps you
A laser printer prints 200 pages in 4 minutes. How many pages does it print in 25 minutes?
Answer: I think the answer is 1250.
Step-by-step explanation:
I did 200 divided by 4 which is 50. I then multiplied 50 * 25 and got 1250.
How do you add and subtract intergers.
Answer:
Add a positive integer by moving to the right on the number line.
Subtract an integer by adding its opposite.
Step-by-step explanation:
Step-by-step explanation:
1, Add a positive integer by moving to the right on the number line.
2, Add a negative integer by moving to the left on the number line.
3, Subtract an integer by adding its opposite.
r+(-8) = 10
Can someone help me ?
Use the Distributive Property to multiply 9 and 37 in your head
What is the answer?
Answer:
270 + 63 = 333
Step-by-step explanation:
If you did it in your head, it would look like this:
9(30) + 9(7)
270 + 63 = 333
A. Can trace a particular file in a few seconds. B. Help us in many ways by coming up with new information. C. Are more useful in an office setting. D. Are now more costly and compact.
Answer:
A. can trace a particular file in a few seconds.
Step-by-step explanation:
The new locator has now easy access and user friendly. The data saved here is useful when you are locating a file. It will take few seconds to locate a file. This saves time in finding the relevant files. The new locator is user friendly and is not really technical to operate it.
Please help!!! It’s Timed!
Answer:
7/25 im pretty sure sure