[tex]36x^{18}+60x^9y^2+25y^4=6^2x^{9\cdot2}+2\cdot6x^9\cdot5y^2+5^2y^{2\cdot2}\\\\=6^2(x^9)^2+2\cdot6x^9\cdot5y^2+5^2(y^2)^2\qquad(*)\\\\=(6x^9)^2+2\cdot6x^9\cdot5y^2+(5y^2)^2\qquad(**)\\\\=(6x^9+5y^2)^2=(6x^2+5y^2)(6x^9+5y^2)\\\\Used:\\\\(*)\qquad(a^n)^m=a^{nm}\\\\(**)\qquad(a+b)^2=a^2+2ab+b^2[/tex]
35 rounded to the nearest hundred
Answer and Explanation: 35 rounded to the nearest 100 is 0. To round to the nearest hundred, you need to first identify the hundreds that are closest to the number you are rounding. For 35, the closest hundred that is lower than 35 is 0, and the closest 100 that is higher than 35 is 100.
The rounding of 35 to the nearest hundred gives us 0.
To round 35 to the nearest hundred, we need to determine which hundred it's closest to. In this case, we can see that 35 is near to 0 than to 100.
When rounding to the nearest hundred, we look at the number in the knock outs place.
However, we round up, and if it's lower than 5, If it's 5 or lesser.
In the number 35, the knockouts number is 3.
Since 3 is lower than 5, we round down.
When we round down, we keep the hundreds number as is and replace all the integers to the right with bottoms.
Thus, rounding 35 to the nearest hundred gives us 0.
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write an equation to find the number of students in mr boggs homeroom if the total number of students is 90
The number of students in Mr. Boggs’s homeroom
is equal to b. Add the total number of students in
each class and set it equal to 90.
90 = b + 1.5(b + 2) + 15 + (2b – 9)
Use the Distributive Property, and collect like terms.
90 = b + 1.5b + 3 + 15 + 2b – 9
90 = 4.5b + 9
The equation to find out the number of students in Mr. Bogg's homeroom when the total number of students is 90, is 'x = 90', where x represents the number of students in Mr. Bogg's homeroom.
Explanation:To write an equation to solve this problem, we'll define a variable, let's say x, to represent the number of students in Mr. Bogg's homeroom. If we know that the total number of students is 90, then the equation becomes simple: x equals 90. Thus, the complete equation would be: x = 90.
This equation states that the number of students in Mr. Bogg's homeroom (x) is equal to 90. To solve it, you just need to look at the number on the other side of the equals sign, which in this case is 90. Therefore, according to this equation, Mr. Bogg's homeroom has 90 students.
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the volume of a rectanglar box is 15,552 cubic inches. What is the volume of the box in cubic feet?
One (1) foot is equal to twelve (12) inches.
12 inches cubed is 1728.
Divide 15,552 by 1728
The answer is 9 cubic feet.
If you have any further questions feel free to ask.
Hope this helps.
The volume of the box is 9 cubic feet.
What is the volume of the cube?The volume of a cube is equal to the product of the length, width, and height of a cube.
The volume of a cube is length × breadth× height
What are Arithmetic operations?Arithmetic operations can also be specified by the subtract, divide, and multiply built-in functions. Operators which let do a basic mathematical calculation
/ Division operation: Divides left-hand operand by right-hand operand
For example 4/2 = 2
Given that,
Volume of a box = 15,552 cubic feet
Since one foot is equal to twelve inches.
We are to convert the dimension to cubic feet.
Using the conversion factor
∵ 1 feet = 12 inches
∴ 1 cubic foot = 1728 cubic inches
Divide 15,552 by 1728
⇒ 15,552/1728
⇒ 9
Hence, the volume of the box is 9 cubic feet.
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A Board Is 3 yards and 1 foot long. How long will the board be if 56 inches are cut from one end?
Given: ABC is similar to XYC. If BY = 4, YC = 7, XC = 10. Which of the following proportions could be used to solve for AC? 4/7 = 10/AC 7/4 = 10/AC 4/11 = 10/AC 7/11 = 10/AC
Answer: The correct option is 4th, i.e., [tex]\frac{7}{11}= \frac{10}{AC}[/tex].
Explanation:
It is given that ABC is similar to XYC. If BY = 4, YC = 7, XC = 10.
Draw a diagram by using the given information.
From the figure,
[tex]BC=BY+YC[/tex]
[tex]BC=4+7[/tex]
[tex]BC=11[/tex]
If the two triangles are similar then their corresponding sides are is in proportion and the corresponding angle are same.
[tex]\frac{YC}{BC}=\frac{XC}{AC}[/tex]
[tex]\frac{7}{11}=\frac{10}{AC}[/tex]
Therefore, the correct option is 4th.
Answer:
The answer is D :)
Step-by-step explanation:
-9/10 - 2/5 I NEED HELPPP NOWWWWWW
-9/10 - 2/5 is -13/10... or -1 3/10
what is the area of the shaded region ???
z-score fore -1.2 = 0.1151
z-score for 0.85 = 0.8023
Subtract :
0.8023 - 0.1151 =0.6872
The answer is C.
Suppose each square on the grid below is 1 cm by 1 cm. Estimate the area of the figure.
A. About 40cm2
B. About 30 cm2
C.About 20 cm2
D. About 10 cm2
Answer:
c
Step-by-step explanation:
if u count the whole square , and the half filled then you add calculator will be needed
What is f(–3) for f(x) = 2x2 – x + 5?
Substitute the value of x = -3 to the equation:
[tex]f(x)=2x^2-x+5\\\\f(-3)=2(-3)^2-(-3)+5=2(9)+3+5=18+3+5=26[/tex]
Answer: f(-3) = 26
Mr. Hodges wants to build a fence around his entire rectangular garden. What is the total distance around the garden?
30 feet with 6 yards
Answer:
The total distance around the garden is 96 feet.
Step-by-step explanation:
We are given a rectangular garden which is 30 feet by 6 yards.
In order to solve this problem, first we have get our units right. We decide to work with feet.
1 yard = 3 feet.
Therefore,
6 yard = 18 feet.
Thus, in feet we have a rectangular garden which is 30 feet by 18 feet.
Therefore the total distance around the garden—i.e its perimeter—is:
[tex](30*2)feet+(18*2)feet = 96feet[/tex]Answer:
96 is the answer
Step-by-step explanation:
I did it and got it right on my quiz
The fastest that a seahorse can travel is 2,640 feet per hour. What is its top speed in miles per hour? plz i need help
The answer would be 0.5 miles per hour. This is because to get from feet per hour to Miles per hour, you need to divide by 5280. (1 mile = 5,280 feet.)
Without multiplying, determine whether the product of 5x4/5 is located at the number line at point A, B, or C. Explain your reasoning.
what is the equation written in a function notation with x as the independent variable x-y=3
we are given
[tex]x-y=3[/tex]
Here , we are given
x as the independent variable
so, y is dependent variable
so, we will solve for y
[tex]x-y=3[/tex]
Add both sides by y
[tex]x-y+y=3+y[/tex]
[tex]x=3+y[/tex]
Subtract both sides by 3
[tex]x-3=3+y-3[/tex]
[tex]x-3=y[/tex]
so, our function is
[tex]f(x)=x-3[/tex]................Answer
solve for equation or formula for the variable specified.
3y + z = am - 4y (solve for y)
substitute the value of x back into the equation 3/4x+3-2x=-1/4+1/2x+5 to justify the solution what value of x is the solution ? x=
Answer:
x = -1
Step-by-step explanation:
We can subtract the right side of the equation to get ...
[tex]\dfrac{3}{4}x+3-2x-\left(-\dfrac{1}{4}+\dfrac{1}{2}x+5\right)=0\\\\x\left(\dfrac{3}{4}-2-\dfrac{1}{2}\right)+\left(3+\dfrac{1}{4}-5\right)=0\quad\text{collect terms}\\\\-\dfrac{7}{4}x-\dfrac{7}{4}=0\quad\text{simplify}\\\\x+1=0\quad\text{multiply by $-\frac{4}{7}$}\\\\x=-1[/tex]
Checking by subsitution, we have ...
... (3/4)(-1) +3 -2(-1) = -1/4 +(1/2)(-1) +5
... -3/4 +3 +2 = -1/4 -1/2 +5
... 4 1/4 = 4 1/4 . . . . . answer checks OK
Answer:x=-1 or D
Step-by-step explanation: hope I can help!
Can someone please help me with this?
They are looking for the percentage.
Female (pass): [tex]\frac{42}{42 + 14} = \frac{42}{56}= 0.75[/tex]
Male (pass): [tex]\frac{14}{42 + 14} = \frac{14}{56}= 0.25[/tex]
Female (fail): [tex]\frac{15}{15 + 5} = \frac{15}{20}= 0.75[/tex]
Male (fail): [tex]\frac{5}{15 + 5} = \frac{5}{20}= 0.25[/tex]
Answer: Pass Fail
Female 0.75 0.75
Male 0.25 0.25
Total 1.00 1.00
The number of yellow fish at the aquarium is 5 fewer than 3 times the number of blue fish. The table shows how the number of yellow fish, y, depends on the number of blue fish, b. Choose the equation which represents the rule.
Answer:
If you are on USATestPrep (which you most likely are) the correct answer is C.
Step-by-step explanation:
C) y = 3b − 5
It is “5 fewer than 3 times”
Answer:
y = 3b-5
Step-by-step explanation:
The number of yellow fish is 5 fewer than 3 times the number of blue fish. Using b to represent the number of blue fish, 3 times this is 3b; 5 fewer than this is 3b-5. This gives us the equation
y = 3b-5
How to solve part to whole?
Given the formula for the perimeter of a rectangle where l represents the length and w represents the width. 2(l + w) What does the 2 represent in this formula? A) The 2 represents the perimeter. B) The 2 represents the two width pairs. C) The 2 represents the two length pairs. D) The 2 represents the two sets of length and width pairs.
The 2
A rectagle has 4 sides. There are 2 lengths and 2 widths.
The would be written like this to start with
P = L + L + W + W
P = 2L + 2W Using the distributive property 2 can be taken outside the brackets
P = (2L + 2W)
P = 2(L + W) You have shown how the 4 sides can be written more efficiently.
The answer is D <<< Answer
a bank offers an interest rate of 4% on a savings account . Write 4% as a decimal.
0.04
Hope this helps & good luck. :)
The body of a person who weighs 50 kilograms contains around 2 × 10^2 grams of sodium chloride. How much sodium chloride is contained in the bodies of 1.8 × 10^3 people who each weigh 50 kilograms? Represent the answer in scientific notation
A. 3.6 × 10^5 gramsB. 1.1 × 10^1 gramsC. 36 × 10^5 gramsD. 11 × 10^1 grams
Answer:
Answer is A.[tex]3.6*10^{5}[/tex]
Step-by-step explanation:
Mass of Sodium Chloride in one 50kg person = [tex]2*10^{2}[/tex] grams
Mass of Sodium Chloride in [tex]1.8*10^{3}[/tex] 50kg people = [tex]2*10^{2}[/tex] * [tex]1.8*10^{3}[/tex]
=[tex](1.8*10^{3})*(2*10^{2})[/tex]
=[tex]3.6*10^{5}[/tex]
So the Answer is A.
20 points! Thank you
3x^3 + 6x^2 - 24x
= 3x(x^2 + 2x - 8)
= 3x(x +4)(x - 2)
Answer is
A. 3x(x +4)(x - 2)
All tests for the first six chapters of a textbook had 20–30 questions. The chapter 7 test will be given tomorrow. What reasonable conclusion can you make?
The chapter 7 test will have 20-30 questions on it. Novanet!
Answer:
We can conclude that the chapter 7 test will also have 20-30 questions on it.
Step-by-step explanation:
All tests for the first six chapters of a textbook had 20–30 questions.
The chapter 7 test will be given tomorrow.
Hence, based on reasoning, we can say that the chapter 7 test can also have 20-30 questions in it.
The probability is also high as all the 6 previous tests had 20 to 30 questions. Hence, it is very likely that the 7th test will also have same number of questions.
Find two numbers if their ratio is 9:11 and their difference is 6.
Answer: The required numbers are 27 and 33.
Step-by-step explanation: We are given to find two numbers if their ratio is 9:11 and their difference is 6.
Let the two numbers be 9x and 11x.
Then, according to the given information, we have
[tex]11x-9x=6\\\\\Rightarrow 2x=6\\\\\Rightarrow x=\dfrac{6}{2}\\\\\Rightarrow x=3.[/tex]
Therefore, the numbers are
[tex]9x=9\times3=27,\\\\11x=11\times3=33.[/tex]
Thus, the required numbers are 27 and 33.
To find the two numbers, we set up an equation based on the given conditions and solve for x. The two numbers are found by multiplying x by the ratio values.
Explanation:To find two numbers with a ratio of 9:11 and a difference of 6, we can set up the following equations:
Let the numbers be 9x and 11x.
According to the given conditions:
11x - 9x = 6
Simplifying the equation, we get:
2x = 6
Dividing both sides of the equation by 2, we find:
x = 3
Therefore, the two numbers are 9(3) = 27 and 11(3) = 33.
So, the two numbers are 27 and 33.
if tickets for a amusement park cost $10 for adults and $6 for children.What is the total cost for 2 adults ad 3 children
(10)2 x (6)3 = 38
It will cost $38 for 2 adult's and 3 children's tickets.
Find three consecutive even integers with a sum of 78
The consecutive numbers are 25,26,27
Suppose f(x)=2x−5. Find the value of f(3)
can someone please help me with this?
f(3) = 1
substitute x = 3 into f(x)
f(3) = (2 × 3) - 5 = 6 - 5 = 1
To find the value of f(3) for the function f(x) = 2x - 5, substitute x = 3 into the function. The value of f(3) is 1.
Explanation:To find the value of f(3) for the function f(x) = 2x - 5, we substitute x = 3 into the function.
So, f(3) = 2(3) - 5.
Simplifying further, we get f(3) = 6 - 5 = 1.
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78 = -2(m + 3) + m. 0.6(y + 3) = 4.8
which point represents the origin?
point c cause its 0 and yeah have goood luck buddy
Harry pays $3.50 sales tax on a $70 item. What is the sales tax rate?
The answer is 5% tax rate for the item. Work shown below.
Harry pays 5% of the cost as sales tax.
What is Equation Modelling?
Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.
We have Harry who pays $3.50 sales tax on a $70 item.
Assume that the sales tax rate is x%. Then -
x = (3.5/70) x 100
x = 5%
Therefore, Harry pays 5% of the cost as sales tax.
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