Answer:
[tex]162 {x}^{10} {y}^{4} {z}^{12} [/tex]
Step-by-step explanation:
[tex]2 {x}^{4} (9 {x}^{3} y^{2} {z}^{6} {)}^{2} [/tex]
➡️[tex] {9}^{2} \times ( {x}^{3} {)}^{2} \times ( {y}^{2} {)}^{2} \times ( {z}^{6} {)}^{2} [/tex]
➡️ [tex]81 \times ( {x}^{3} {)}^{2} \times ( {y}^{2} {)}^{2} \times ( {z}^{6} {)}^{2} [/tex]➡️ [tex]81 {x}^{6} \times ( {y}^{2} {)}^{2} \times ( {z}^{6} {)}^{2} [/tex]➡️ [tex]81 {x}^{6} {y}^{4} \times ( {z}^{6} {)}^{2} [/tex]➡️ [tex]81 {x}^{6} {y}^{4} {z}^{12} [/tex]➡️ [tex]2 {x}^{4} \times 81 {x}^{6} {y}^{4} {z}^{12} [/tex]➡️[tex]162 {x}^{4} \times {x}^{6} {y}^{4} {z}^{12} [/tex]
➡️[tex]162 {x}^{4 + 6} {y}^{4} {z}^{12} [/tex]
➡️[tex]162 {x}^{10} {y}^{4} {z}^{12} [/tex] ✅
Solve the equation below.
3/2x - 2.2 = 2(0.7x - 1)
Answer:
x = 2
Step-by-step explanation:
3/2x - 2.2 = 2(0.7x - 1)
3/2x - 2.2 = 1.4x - 2
0.1x - 2.2 = -2
0.1x = 0.2
x = 2
if the distance between town a and b is 1350 KM and the distance between town A and C is in the same direction is approximately two fifth of this. what is the approximate distance of town B and C
Answer:
BC = 810 KM
Step-by-step explanation:
It is 2/5 from A to C so the remaining distance 1 -2/5 = 5/5 -2/5 = 3/5 is the distance from C to B
BC = 3/5 * 1350
BC = 810 KM
The product 2+bi)(3+2i) is equal to 13i. What is the value b?
Answer:
[tex]b = 3[/tex]
Step-by-step explanation:
We are given that:
[tex](2 + bi)(3+2i) = 13i[/tex]
And we want to determine the value of b.
First, expand:
[tex]\displaystyle \begin{aligned} (2+bi)(3+2i)&=2(3+2i)+bi(3+2i) \\ &= (6+4i)+(3bi+2bi^2) \\ &= (6+2b(-1))+(4i+3bi) \\ &= (6-2b) + (4+3b)i\end{aligned}[/tex]
Therefore, we can write that:
[tex](6-2b) + (4+3b)i = 0+ 13i[/tex]
If two complex numbers are equivalent, their real and imaginary parts must be equivalent. Hence:
[tex]6-2b = 0 \text{ and } 4+3b = 13[/tex]
Solve for each case:
[tex]b=3 \text{ and } b=3[/tex]
The two solutions are equivalent, hence such a number b exists.
In conclusion, b = 3.
Answer the question about the angles below.
Solve the following proportion using cross products property
4/-3=8/t
Three-quarters of a number is 2 bigger than two-thirds of the number.
Determine the number.
Answer:
0
Step-by-step explanation:
3/4.x = 2. 2/3.x
↔ x = 0
The required number after simplification of the given statement of the equation is equal to 24.
Let's call the number we want to find "x."
According to the given information:
Three-quarters of the number is 2 bigger than two-thirds of the number.
Mathematically, we can express this as the following equation:
(3/4) × x = (2/3) × x + 2
Now, let's solve for "x":
Get rid of the fractions by multiplying everything by the least common multiple (LCM) of 4 and 3, which is 12.
12× (3/4) × x = 12 × (2/3) × x + 12× 2
Simplify both sides:
9x = 8x + 24
Isolate the "x" term on one side. To do this, we need to move the 8x to the left side by subtracting 8x from both sides:
9x - 8x = 8x + 24 - 8x
Simplify further:
x = 24
Therefore, the number after simplification is 24.
learn more about simplification here
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EASY! Check my work and fill in the blanks!
Answer:
Step-by-step explanation:
DUE SOON HELPPP PLZzz
Answer:
C
Step-by-step explanation:
It looks impossible to tell if you don't know one simple fact. You have to know that the Plane that contains WTSR and V is opaque which means you can't see through it. So the line that goes through it (containing WQ) is partially not seen.
It is represented by a dashed line that shows the line is there, but it is invisible.
So Q is on the plane, but W is not. W is the answer.
f(x)= 1/x; Find f (0.01)
Answer:
100
Step-by-step explanation:
f(x) = 1/x
So,
f(0.01) = 1/0.01
=> f(0.01) = 100
53g=2g-23g+2 solve g
[tex] \begin{cases}\large\bf{\red{ \implies}} \tt \: 53 \: g \: = \: 2 \: g \: - \: 23 \: g \: + \: 2 \\ \\ \large\bf{\red{ \implies}} \tt \: 53 \: g \: = \: - 21 \: g \: + \: 2 \\ \\ \large\bf{\red{ \implies}} \tt \: 53 \:g \: + \: 21 \: g \: = \: 2 \\ \\ \large\bf{\red{ \implies}} \tt \: 74 \:g \: = \: 2 \\ \\ \large\bf{\red{ \implies}} \tt \:g \: = \: \cancel\frac{2}{74} \\ \\ \large\bf{\red{ \implies}} \tt \: g \: = \: \frac{1}{37} \end{cases}[/tex]
The value of g from the given equation is 1/37.
The given equation is 53g=2g-23g+2.
We need to solve the given equation for g.
What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
Now, 53g=2g-23g+2 can be solved for g as follows:
That is, 53g=-21g+2
⇒53g+21g=2
⇒74g=2
⇒g=2/74=1/37
Therefore, the value of g from the given equation is 1/37.
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Find the midpoint of the line segment joining points A and B.
A(2, - 5); B(2,1)
The midpoint of the line segment is
(Type an ordered pair.)
Answer:
M=(2,-2)
Step-by-step explanation:
M=(2+2/2,-5+1/2)
M=(4/2,-4/2)
M=(2,-2)
please help it is midpoint
Answer:
(8.3, 3.15 )
Step-by-step explanation:
Given endpoints (x₁, y₁ ) and (x₂, y₂ ) then the midpoint is
( [tex]\frac{x_{1}+x_{2} }{2}[/tex] , [tex]\frac{y_{1}+y_{2} }{2}[/tex] )
Here (x₁, y₁ ) = (4.6, 2.3) and (x₂, y₂ ) = (12, 4) , then
midpoint = ( [tex]\frac{4.6+12}{2}[/tex] , [tex]\frac{2.3+4}{2}[/tex] ) = ( [tex]\frac{16.6}{2}[/tex] , [tex]\frac{6.3}{2}[/tex] ) = ( 8.3, 3.15 )
Answer:
[tex]mid \: point \: for \: x = \frac{x1 + x2}{2} \\ = \frac{4.6 + 12}{2} \\ x = \frac{16.6}{2} \\ x = 8.3 \\ mid \: point \: of \: y = \frac{y1 + y2}{2} \\ y = \frac{2.3 + 4}{2} \\ \frac{6.3}{2} = 3.15 \\ then(x \: y) = (8.3 \: 3.15) \\ thank \: you[/tex]
write rational number in P/q form 17.82 bar
I suppose you're talking about the number 17.828282…. If x is this number, then 100x = 1782.828282…, and so
100x - x = 1782.828282… - 17.828282…
99x = 1765
x = 1765/99
G is between Fand H on a line segment. FG = x + 12 and GH = X
+ 18. IF FH = 16, what is the value of x?
Answer:
98
Step-by-step explanation:
3 3/8 divided by 3/5
Answer:
45/8
Step-by-step explanation:
steps are in picture
Answer:
[tex]\frac{45}{8}[/tex]
Step-by-step explanation:
[tex]\frac{3\frac{3}{8}}{\frac{3}{5}} \\\frac{\frac{27}{8}}{\frac{3}{5}} \\\\\frac{27}{8}\times \frac{5}{3}\\\\\frac{45}{8}[/tex]
e) If the radede circle is 7em, then find the area of circle. al- (SSS. x at Solna -
Hi
area of circle, which is call in proper math terme circumference ( latin for going around) is given by this formula :
2 times radius x pi
As math is all about knowing your formula and training, I let you have a shot. You wont progress other wise.
Ask in comment section if you are still blocked.
Find the distance between the points (-3, 5) and (0, 1)
Mangoes cost $4 each and nectarines cost $2 each. Dominic buys m mangoes and n nectarines for $32.
Fill in the missing values to write an equation for the information given.
Answer: 6m+4n=32
Step-by-step explanation:
m=4
n=2
From this, we can deduce that m+n=32.
6*4=24 and 4*2=8. 24+8=32
So, 6m+4n=32. Hope this was what you were looking for!
3 2/3 - (-1 1/12) = ? please help<3
Answer:
[tex]3\frac{2}{3} - ( - 1 \frac{1}{12} ) \\ \\ \frac{11}{3} - ( - 1 \frac{1}{12}) \\ \\ \frac{11}{3} - ( - \frac{13}{12} ) \\ \\ \ \frac{11}{3} + \frac{13}{12} \\ \\ \frac{44}{12} + \frac{13}{12} \\ \\ \frac{44 + 13}{12} \\ \\ \frac{55}{12} \\ \\ \frac{19}{4} \\ \\ = 4 \frac{34}{?} [/tex]
4/3/4
Answer:
4 3/4
Step-by-step explanation:
3 2/3 - (-1 1/12) = 19/4 = 4 3/4
Write the following inequality in slope-intercept form.
10x + y > -1
Write your answer with y first, followed by an inequality symbol. Use integers, proper
fractions, and improper fractions in simplest form.
Answer:
y > - 10x - 1
Step-by-step explanation:
Given
10x + y > - 1 ( subtract 10x from both sides )
y > - 10x - 1 ← in slope- intercept form
Answer:
y > -10x - 1.
Step-by-step explanation:
10x + y > - 1
Subtract 10x from both sides:
y > -10x - 1.
please answer this question for me. please help.
1. The sum of 6 times a number n and 4 times a number n is -30.
What is the number?
2. Four less than the product of 6 and a number n is -30.
What is the number? _____
3. Four less than the product of 6 and a number n is -30.
What is the number? _____
Answer:
-3
Step-by-step explanation:
1. 6n+4n=-30
10n=-30
n= -3little confused on q2,3
P= lw+wh, solve for w
Step-by-step explanation:
P= w(l+h)
w=P/(l+h)
....
Help me solve the following formula for v1
Answer:
v1 = at + v0
Step-by-step explanation:
We want to end up with a formula that looks like v1 = algebraic expression
Start by multiplying both sides of the given formula by t, to eliminate fractions:
at = v1 - v0
Next we isolate v1 by adding v0 to both sides of the above equation:
at + v0 = v1 - v0 + v0, or v1 = at + v0
Answer:
V1=at+V0
Step-by-step explanation:
i had the same question
8. Find the common factors of 75,100 and 60
stick with 60
start trying 1 to 10
then
10, 20, 30, 40, 50, 60
1 , 2 , 4 , 5 , 10, 20, 40, 50
I've been stuck on this for a while now
Answer:
x = -25/3
Step-by-step explanation:
[tex] \frac{10}{3} = \frac{x}{ (\frac{ - 5}{2} )} \\ = > \frac{10}{3} \times \frac{ - 5}{2} = x \\ = > \frac{ - 50}{6} = x \\ = > \frac{ - 25}{3} = x [/tex]
What is the equation of the line that passes through the point (8,1) and has a slope
of –3/4?
Answer:
[tex]y=-\frac{3}{4}x+7[/tex]
Step-by-step explanation:
The slope is already given as [tex]-\frac{3}{4}[/tex] so all we have to do is solve for y-intercept
First, write the equation in slope-intercept form
[tex]y=-\frac{3}{4}x+b[/tex]
Next, use the point to substitute the x and y value and solve for the y-intercept
[tex]y=-\frac{3}{4} x+b[/tex] where b = y-intercept
point: (8, 1)
[tex]1=-\frac{3}{4}(8)+b[/tex]
Then multiply 8 and -3/4
[tex]1=-6+b[/tex]
Finally, solve for the b (y-intercept)
b = [tex]1--6[/tex]
b = 7
so the y-intercept is 7
And the equation of the line that passes through the point (8, 1) and has a slope of -3/4 is [tex]y=-\frac{3}{4}x+7[/tex]
This graph is an example of
A. a linear function
B. a nonlinear function
C. neither a linear nor nonlinear function - it is not a
function at all
will give brainiest if correct
Answer:
C Neither.
Step-by-step explanation:
Its not linear because it is a curve.
Its not a function because it fails the vertical line test:
- we can draw a vertical line which passes through 2 points on the graph.
I need help guys like rn please someone!!
Answer:
B
Step-by-step explanation:
The correct answer is B, because you have -4 +(-6)+(-2) which is really just
-4-6-2 which is -12. Think of it as getting rid of the plus sign and just leaving the negative sign. Which this would make the answer to the equation be -12, but for the answer of the question, it would be B because it is accumulating the drops in temperatures making the numbers go down in temperature, therefore making them negative.
A is not the answer because although it is similar to letter B, the difference is the final sentence, "What was the overall change in temperature?" Since -4 is listed as the pre-existing temperature, that would make -6 - 2 be equal to negative eight (-8).
C is not the answer because it includes a temperature rising by 18 degrees.
D is not the answer either because it is saying the temperature rose, which is shouldn't have risen.
The only time C and D could be right, is if they included bigger number that equaled out to negative twelve (-12), like saying the temperature rose 18 degrees, but fell by 26 degrees by midnight, that would make the equation look like -4 + 18 - 26 = - 12
Even in that case, C and D would be wrong immediately because of the use of numbers outside of the expression given.
Hope this helps!
Expand an expression by using the distributive property.
Example: 3(y + 8) = 3 • y +3 • 8 = 3y + 24
(Reminder: 3 • y is the same as 3 x y or 3y.)
Expand this expression. 8(2x – 4)