Factor each product-
0.7√300
-0.125√192
Answer:
1. 7 to the square root of 3
2. negative square root of 3
Step-by-step explanation:
1. simplify 0.7 x 10 square of 3
2. Calculate: you get 7 to the square root of 3
1. simplify -0.125 x 8 to the square root of 3
2. Calcaute: you get negative square root of 3
The factors of the expression 0.7√300 and -0.125√192 will be 7 x √3 and - 1 x √3, respectively.
What is factorization?It is a method for dividing a polynomial into pieces that will be multiplied together. At this moment, the polynomial's value will be zero.
The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.
The expressions are given below.
0.7√300 and -0.125√192
Simplify the expressions, then we have
0.7√300 and -0.125√192
7√3 and - √3
Factorize the expression, then we have
7 x √3 and - 1 x √3
More about the factorization link is given below.
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Which number is a factor of 14 but not a multiple of 7??
Answer:
2
Step-by-step explanation:
Write out all the factors for 14
Then write out the multiples of 7
Compare the numbers then find the greatest number in 14's factors that isn't in 7's multiples
PLEASE HELP ME I'M GIVING OUT LOTS OF POINTS!!
Answer:
(d) a1 = 11
Step-by-step explanation:
Put the numbers in the given formula and solve for a1.
a5 = 176 = a1(r^(5-1)) = a1·r^4
a7 = 704 = a1(r^(7-1)) = a1·r^6
Dividing a7 by a5 gives ...
a7/a5 = (a1·r^6)/(a1·r^4) = r^2 = 704/176 = 4
Then a1 is ...
a1 = a5/(r^4) = 176/(r²)² = 176/(4²) = 11
The first term is 11.
Hi, mal :> hehehe
( its [tex]a_{1} = -11[/tex])
Your welcome..... ;]
If Alex is 14 years old, and Ben is 17 years old, in how many years will the sum of their ages be 169 years?
Answer:
69 years
Step-by-step explanation:
Sum of Alex's and Ben's current age
= 14 +17
= 31 years
For every year, Alex and Ben will each be one year older. Thus, 2 years would be added to the sum of their ages with each passing year.
Difference in the sum of their ages
= 169 -31
= 138 years
Number of sets of 2 years
= 138 ÷2
= 69
Thus, the sum of their ages will be 169 in 69 years.
Solve the following system of equations:
Answer:
The correct answer is option B: (-1, -1).
Step-by-step explanation:
The easiest way to solve this system is using elimination, or by adding the two equations together. We don't have to modify the equations at all, since the x's will already cancel out as written.
Upon addition, we get:
9y = -9
If we solve the equation by dividing both sides by 9, we get:
y = -1
To find the x value, we can substitute this value back into either of our original equations.
6x + 4y = -10
6x - 4 = -10
To solve for x, we should isolate the variable, or get it alone on one side of the equation.
6x = -6
x = -1
Therefore, the solution to the system of equations is x = -1 and y = -1, or (-1, -1), which is option B.
Will give brainliest if you answer fast
What is the equation
y=____ x + ____
Fill in the missing number with the graph
find the x and y intercepts of the following linear function and draw the graph: 2x-8y=-18
Answer:
Step-by-step explanation:
2x - 8y = - 18
- 8y = - 2x - 18
y = ¼x + 2¼
y intercept occurs when x = 0, so b = 2¼ (0, 2¼)
x intercept occurs when y = 0
0 = ¼x + 2¼
¼x = - 2¼
x = -9 (-9, 0)
A small tree was planted at a height of 5 feet. The tree has been planted for 16 months, and is now 48.2 feet tall. Which equation
could be used to find x, the average number of feet the tree grew each month?
Answer:
Use the equation for Average Rate of Change which will give you 2.7 feet per month
Step-by-step explanation:
The equation is:
[tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
Now insert your values:
[tex]\frac{48.2-5}{16-0}[/tex]
The answer is: 2.7 feet per month
Step-by-step explanation:
how much did it grow per month ?
well, it grew from 5 to 48.2 ft in 16 months.
that means it grew 48.2 - 5 = 43.2 ft.
per month that is 43.2/16 = 2.6875 ft per month.
so, the equation would look like
x = (48.2 - 5)/16
Hanna has 16 pencils. She gets 3 new
pencils from Mrs. Lewis. She divides
the pencils equally between her 2
sisters. How many pencils does each
sister get?
Answer:
9.5
Step-by-step explanation:
If Hanna starts off with 16, and Mrs. Lewis GIVES(add) her 3 more, then she has 19 because 16+3=19. Then we divide by 2 because there are 2 sisters. so 19/2 = 9.5
Hello! I hope this helped you. If this is wrong please let me know. Thank you.
Evaluate the following expression [(15+1)/2-4]*6
Answer:
24
Step-by-step explanation:
By BODMAS rule,
[ ( 15 + 1 ) / 2 - 4 ] * 6
= [ 16 / 2 - 4 ] * 6
= [ 8 - 4 ] * 6
= 4 * 6
= 24
Based on the information given, the value of the equation will be -48.
From the information given, the expression is given as:
= (15+1)/2-4]*6
We'll solve the bracket first.
= (15+1)/2-4]*6
= (16 / 2 - 4) × 6
= (16/-2) × 6
= -8 × 6
= -48
In conclusion, the value of the equation will be -48.
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MODELING REAL LIFE The table shows the amount y (in fluid Ounces) of carpet cleaner in a tank after x minutes of
cleaning.
x ll y
5 ll 108
10 ll 88
15 ll 68
a. Write an equation that represents the amount of cleaner in the tank after x minutes.
b. How much cleaner is in the tank when the cleaning begins?
C. After how many minutes is the tank empty?
Answer:
a. Write an equation that represents the amount of cleaner in the tank after x minutes
y= -4x + 128
b. How much cleaner is in the tank when the cleaning begins?
128
c. After how many minutes is the tank empty?
The tank is empty in 32 minutes
Which statement BEST describes how the graph of g(x) = – 3x2 compares to the graph of f(x) = x2 ?
A
The graph of g(x) is a reflection of f(x) across the x-axis.
B
The graph of g(x) is a vertical shrink of f(x) by a factor of 1/3 and a reflection across the x-axis
C
The graph of g(x) is a vertical stretch of f(x) by a factor of 3.
D
The graph of g(x) is a vertical stretch of f(x) by a factor of 3 and a reflection across the x-axis.
The transformations of f(x) are (d) The graph of g(x) is a vertical stretch of f(x) by a factor of 3 and a reflection across the x-axis.
How to describe the transformation from the parent function?From the question, we have the following function that can be used in our computation:
f(x) = x²
g(x) = -3x²
Mathematically, these equations can be represented as
g(x) = -3f(x)
The above equations implies that, we have the transformation to be:
The 3 implies that the function f(x) is vertically stretch by a factor of 3The - implies that it is reflected across the x-axisHence, the transformed function is (d)
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Math Algebra 1 Honors Unit 4 that's what it is
Answer:
Unit 4- Expressions and Equations: In this unit, students build on their knowledge from unit 2, where they extended the laws of exponents to rational exponents. Students apply this new understanding of number and strengthen their ability to see structure in and create quadratic and exponential expressions.
Complete the process of solving the equation.
Fill in the missing term on each line. Simplify lany fractions.
9V + 19 = 19
9V =
Subtract 19 from both sides
V =
Divide both sides by 9
Answer:
V=0
Step-by-step explanation:
9V + 19 =19
9V=19-19
9V=0
V=0
The table and graph both represent the same relationship. which equation also represents that relationship?
Answer:
I think it's y= 2x
Step-by-step explanation:
For every number in y, x increases by 2
Answer:
y=x2
Step-by-step explanation:
The first one because 2x2 is 4 .
4x2 is 8
6x2 is 12
?
58 62
28 27 13
13 15 12 11
6 7 8 4 7
4 2 5 3 1 6
Answer:
105
Step-by-step explanation:
First, adding two sequence numbers and that result become upper number
Write a fraction with a denominator of 9 whose equivalent percent is less than 100%. In complete sentences, explain why the fraction is less than 100%.
The fraction is 8/9
Lets find percentage
8/9(100)800/988.89%Done!
Write each verbal expression as an algebraic expression.
The product of a number, b, and nine =
A number, x, raised to the fifth power =
Twelve divided by the product of number, y, and three =
Seven added to the difference of one and a number, k =
Please help me ASAPPPPP
Answer:
20 0-6
Step-by-step explanation:
x= (2,0)
y= (0,-6)
What is Power rule, Product rule, Quotient rule and Chain rule? Detail please
PLEASSEEE HELPP!!!!!
Answer:
m
Step-by-step explanation:
Select all the correct answers.
Which equations have a greater unit rate than the rate represented in the table.
We need slope/rate of the table
(3,2)(6,4)[tex]\\ \sf\longmapsto m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
[tex]\\ \sf\longmapsto m=\dfrac{4-2}{6-3}[/tex]
[tex]\\ \sf\longmapsto m=\dfrac{2}{3}[/tex]
Slopes of all options
5/7=25/213/5=9/151/37/9 7/11=21/33Option D is correct
Option
Graph the line with slope -2 passing through the point (4, 1)
Answer:
Use points (4,1) and (3,-1)
Step-by-step explanation:
Let's say the other coordinates are (x,y).
Then, we know (1-y)/(4-x)=2. So if y is -1, and x is 3, then we get:
[1-(-1)]/(4-3)=2/1=2
So draw the two points, (4,1) and (3,-1) on a coordinate plane, and use a ruler to make a line that goes through both the points.
what ratio is equivelant to 5 : 4
Answer:
1.25 to 1
Step-by-step explanation:
5/4 = 1.25 4/4 = 1 So the ratio is 1.25 to 1
12 tenths+ 9 tenths = tenths = ones = tenths
True or False (See Image)
The remainder theorem can be used to check if a binomial is a factor of a larger polynomial.
Answer: true
Step-by-step explanation:
A parachutist's speed during a free fall reaches 60 meters per second. What is this speed in feet per second? At this speed, how many feet will the parachutist fall during 15 seconds of free fall? In your computations, assume that 1 meter is equal to 3.3 feet. Do not round your answers.
A) The speed of the parachute in feet per second is; 198 ft/s
B) At the given speed, the number of feet the parachute will fall during 15 seconds of freefall is; 2970 ft
We are given;
Speed of parachute during freefall = 60 m/s
A) We are told that 1 m = 3.3 ft
Thus, 60 m/s in ft/s = 60 × 3.3/1 = 198 ft/s
B) Speed is now 198 ft/s
Time is 15 seconds
Formula for distance is;
Distance = speed × time
Distance = 198 × 15
Distance = 2970 ft
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What is the next term of the AP √2, √8 , √18 ......?
Given terms in an AP are √2,√8,√18
√8 = √(2×2×2) = 2√2
√18 = √(2×3×3) = 3√2
The AP : √2,2√2,3√2
next term = 4√2> √(4×4×2)
⇛ √32
The next term of the AP = √32.
also read similar questions: The next term of the AP root 8, root 18,root 32 is...........
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Which term of the AP:3, 8, 13, 18,...,is 78?
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find the unknown angle can someone help me pls what is this how do i even find the unknown angle
Answer:
1 135
2 45
3 135
4 45
Step-by-step explanation:
think in terms of supplimentary angles. those that add up to 180
Mr. White has 2 suits, 5 dress shirts, and
6 ties. How many different clothing combinations can he make?
Answer:
60
Step-by-step explanation:
Use the counting principle.
2 × 5 × 6 = 60
Answer: 60
