Answers
Hi there!
8.
Recall the following properties:
[tex]\frac{1}{x^{-a}} = x^a\\\\x^0 = 1[/tex]
Thus, we can rearrange the expression in parts.
[tex](3x)^0 = 1\\\\x^4 = x^4\\\\y^{-4} = \frac{1}{y^4}\\\\\frac{1}{x^{-3}} = x^3\\\\\frac{1}{y^{-7}} = y^7[/tex]
Now, combine these terms:
[tex](1) * x^4 * \frac{1}{y^4} * x^3 * y^7 = \frac{x^4 * x^3 * y^7}{y^4}[/tex]
More properties:
[tex]x^a * x^b = x^{a + b}\\\\\frac{x^a}{x^b} = x^{a - b}[/tex]
Rewrite:
[tex](1) = x^{4 + 3} * y^{7 - 4} = \boxed{\text{D) } x^7y^3}[/tex]
9)
Begin by solving the inside of the parenthesis.
[tex](3^2 + 3^0)^2 = (9 + 1)^2 = 10^2 = 100\\\\(6^{-2} + 3)^0 = 1\\\\100 - 1 = \boxed{ \text{ B. 99}}[/tex]
10)
Simplify the inside of the parenthesis using the above properties.
[tex](\frac{x^2y^5z^3}{xy^7})^{-2} = (\frac{xz^3}{y^2})^{-2}[/tex]
Since there is a negative in the outside exponent, we must take the reciprocal. (flip the numerator and denominator).
[tex]=( \frac{y^2}{xz^3})^2[/tex]
Square both the numerator and denominator.
Recall the property:
[tex](x^a)^b = x^{ab}[/tex]
[tex]= \frac{y^{2*2}}{x^2 * z^{3 * 2}} = \boxed{ \text{C. }\frac{y^4}{x^2z^6}}[/tex]
Related Questions
Select the expression that is equivalent to:
4(9 + v)
36 + v
36 + 4v
4(9v)
36v
4v + 9
Answers
Answer: 36 + 4v
Step-by-step explanation:
4*9 = 36, 4*v = v
I WILL CHOOSE BRAINLIEST as long as it looks correct
Choose the equation that has solutions ( 5 , 7 ) and ( 8 , 13 ) .
3 x − y = 8
3 x − y = 8
y = x + 2
y = x + 2
y − x = 5
y − x = 5
y = 2 x − 3
y = 2 x − 3
Answers
ANSWER:
y=2x-3
HOPE IT HELPS
Step-by-step explanation:
Add the system of equations each one by one.
I added them all downwards until i found the 4th one to be correct
y = 2x - 3
y = 2x - 3
--------------
2y = 4x - 6
y = 2x - 3.
To find the value of y in each coordinates given above, substitute their respective x values.
1......y = 2(5) - 3
= 10 - 3
= 7.
2......y = 2(8) - 3
= 16 - 3
= 13.
then write the value you substituted in x on the left side of each bracket & the value you got when you substituted them on the right.
(5 , 7) (8 , 13)
The segments shown below could form a triangle.
д
с
B
8
9
LO
B
17
с
д
A. True
O B. False
Answers
Answer:
False
Step-by-step explanation:
plz mark me the brainiest
The segments AC, CB, and AB can form a triangle, and the statement is true.
What is Triangle?A triangle is a three-sided polygon that consists of three edges and three vertices.
Given that AC=9 cm, CB= 8cm and AB=15cm
The segments AC, CB, and AB satisfy the triangle inequality, which states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side.
AC + CB = 9cm + 8cm = 17cm, which is greater than AB = 15cm.
Similarly, AC + AB = 9cm + 15cm = 24cm, which is greater than CB = 8cm. CB + AB = 8cm + 15cm = 23cm, which is also greater than AC = 9cm.
Therefore, the segments AC, CB, and AB can form a triangle, and the statement is true.
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Find the value of x.
Answers
Answer:
155°
Step-by-step explanation:
The obtuse angle of the large (outside) triangle is the supplement of 60°, so is ...
180° -60° = 120°
The angle x is the sum of the remote interior angles of that large triangle:
x = 35° +120° = 155°
__
Check
The other acute angle in the smaller (left) right triangle is 90° -35° = 55°. Then the top acute angle in the larger (bottom, right) right triangle is ...
180° -55° -60° = 65°
The other acute angle in that triangle is 90° -65° = 25°. It is supplementary to angle x. Hence angle x is 180° -25° = 155°, as above. (Note that x is also the sum of 90° and 65°, the remote interior angles of the nearest right triangle to x.)
need help on this question.
Answers
Answer:
vertical angles - angle 4 and angle 2
complementary angles - angle 2 and angle 3
supplementary angles- angle 2 and angle 1
Ashley compares the fees charged by two babysitting agencies.The fees are shown below. Determine which function is described in the table below.Drag-and-drop either agency A or agency B into each box to correctly identify which function is described.
Answers
Answer:
Agency A: y = 12x
So Agency A pays a rate of $12 per hour
Agency B: y = 10x + 20
So Agency B pays an initial fee of $20 plus a rate of $10 per hour.
Step-by-step explanation:
Agency A
To create a straight line equation for the data in table, use [tex]y = mx + b[/tex], where m is the slope and b is the y-intercept.
To find the slope m, take 2 points from the table and use the slope formula.
Let [tex](x_1,y_1)[/tex] = (3, 36)
Let [tex](x_2,y_2)[/tex] = (5, 60)
Slope formula: [tex]m=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{60-36}{5-3}=12[/tex]
Now use the point-slope formula to create the final equation:
[tex]y-y_1=m(x-x_1)[/tex]
[tex]\implies y-36=12(x-3)[/tex]
[tex]\implies y=12x[/tex]
Therefore, Agency A pays a rate of $12 per hour.
Agency B
From inspection, the function is a straight line.
Therefore we can use the straight line equation [tex]y = mx + b[/tex],
where m is the slope and b is the y-intercept.
From inspection, we can see that the line crosses the y-axis at (0,20). Therefore, the y-intercept is 20.
[tex]\implies y=mx+20[/tex]
Taking 2 points on the line and using the slope formula to find the slope m:
Let [tex](x_1,y_1)[/tex] = (0, 20)
Let [tex](x_2,y_2)[/tex] = (3, 50)
Slope formula: [tex]m=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{50-20}{3-0}=10[/tex]
Therefore, the final equation is: [tex]y=10x+20[/tex]
Therefore, Agency B pays an initial fee of $20 plus a rate of $10 per hour.
Let f(x)=x2 2x 3. What is the average rate of change for the quadratic function from x=−2 to x = 5? Enter your answer in the box.
Answers
The average rate of change for the quadratic function x²+2x+3 from x=−2 to x = 5 is 5.
What is Slope?A slope is also known as the gradient of a line or the average rate of change of a number that helps to know both the direction and the steepness of the line.
The rate of change of any function is the slope of the function, therefore, the slope of the function is written as,
[tex]m = \dfrac{y_2 - y_1}{x_2-x_1}[/tex]
As the value of the y is the function of the x, while the value of x is given, therefore,
[tex]x_2 = 5\\x_1=-2\\\\[/tex]
Now, the value of y,
[tex]y_2 = f(5) = x^2 +2x+3 = (5)^2+2(5)+3 = 38\\y_1 = f(-2) = x^2 +2x+3 = (-2)^2+2(-2)+3 = 3[/tex]
Substituting the value of x and y in the formula of the slope, we can write the slope as,
[tex]m = \dfrac{y_2-y_1}{x_2-x_1}\\\\m = \dfrac{f(x=5) - f(x=-2)}{5-(-2)}\\\\m = \dfrac{38-3}{7}\\\\m= 5[/tex]
Hence, the average rate of change for the quadratic function x²+2x+3 from x=−2 to x = 5 is 5.
Learn more about Slope:
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find all values of x for which the perimeter is at most 32
Answers
Answer:
0 < x ≤ 11
Step-by-step explanation:
perimeter = (x - 6) + (x - 6) + x + x
⇒ perimeter = 4x - 12
If the perimeter is "at most 32" then
4x - 12 ≤ 32
⇒ 4x ≤ 44
⇒ x ≤ 11
Therefore, 0 < x ≤ 11
In an isosceles triangle the measure of one angle is 90° and base = altitude. Find the length of the hypotenuse.
Answers
Answer:
Step-by-step explanation:
hypotenuse^2=alt^2+base^2
(a)^2=x^2+x^2
a^2=2x^2
a=√2x^2
a=x√2 cm.
Answer:
hypotenuse^2=alt^2+base^2
(a)^2=x^2+x^2
a^2=2x^2
a=√2x^2
a=x√2 cm.
Step-by-step explanation:
Emily earns $0.30 for every 0.75 mile she bikes. How much does she earn for 15 miles?
Answers
Answer:
Emily would earn a total of $6 after biking 15 miles.
Step-by-step explanation:
0.75 x ___ = 15
0.75 x 20 = 15
0.30 x 20 = 6
Find the value of x iready
Answers
180°-90°-29°=61°
Based on the information given, can you determine that the quadrilateral must be a parallelogram? Explain.
Given: XN = NZ and NY = NW
Answers
Answer:
Because N is the midpoint of the two diagonals so the quadrilateral must be a parallelogram
Answer:
Step-by-step explanation:
XN = NZ & NY = NW
This shows that diagonals XZ & WY bisect each other.
So, this quadrilateral is a parallelogram.
Question 7
The perimeter of the rectangle Is 34 inches. The perimeter of the triangle is
40 Inches.
Answers
Answer:
whts the question 86
Step-by-step explanation:
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A graph contains the points (16,-4) and (-8, -2). What is the slope of the
graph?
1/12
-1/12
-12
12
Answers
Slope=y2-y1/x2-x1
so substitiuting the value of y2 y1 x2 and x1 we get answer 1/12
what is 21 and 1/4 percent as a fraction?
Answers
Answer:
85/4
Step-by-step explanation:
21 1/4 = 85/4
. What are the coordinates of the point (-1,0) after a translation 5 units to the right?
Answers
Moving a coodrindate to the right 5 units means to add 5 to the x coordinate
(-1+5,0) = (4,0)
The coordinates of the point (-1,0) after a translation 5 units to the right?
To get the coordinates of the point 1,0 after a translation 5 units to the right
The point's x-coordinate will rise by 5 units after being moved 5 units to the right, while the y-coordinate stays the same.
The starting point was at (-1, 0).
Increasing the x-coordinate by 5 units:
x-coordinate changed: -1 + 5 = 4.
Therefore, after being moved 5 units to the right, the point's new coordinates are (4, 0).
Learn more about coordinates of the point here
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Pls help thankssssssssss
Answers
8.333 is the answer, divide 25 with 3
Please answer this. I will give you Brainliest.
Answers
Answer:
51
Step-by-step explanation:
[tex]\frac{w-3}{7} + 2w[/tex]
[tex]\frac{24-3}{7} + 2(24)[/tex]
[tex]\frac{21}{7} + 48[/tex]
[tex]3 + 48[/tex]
51
Answer:
51
Step-by-step explanation:
24-3=21; 2x24=48; 21/7+48= 51
I Hope this helps! :D
Find the value of log 1 2 462 to four decimal places.
Answers
The value of logarithm function log₀.₅ 462 around the four decimal places is -8.8517.
What is a logarithm?Logarithms are another way of writing exponent. A logarithm with a number base is equal to the other number. It is just the opposite of the exponent function.
The expression is [tex]\rm log _{\frac{1}{2}} 462[/tex].
We know the formula of a logarithm.
[tex]\rm log_ab = \dfrac{log\ b}{log\ a}[/tex]
Then we have
[tex]\rm log _{\frac{1}{2}} 462 = \dfrac{log\ 462}{log\ \frac{1}{2}}\\\\\\log _{\frac{1}{2}} 462 = \DFRAC{2.66464}{-0.3010299}\\\\log _{\frac{1}{2}} 462 = -8.852[/tex]
Thus, the value of [tex]\rm log _{\frac{1}{2}} 462[/tex] is -8.8517.
More about the logarithm link is given below.
https://brainly.com/question/7302008
Answer:-8.8517
Step-by-step explanation:
Some information about the waiting time of patients at an A and E department is shown
Complete the box plot to show this information
I have 2 out of 3 marks
Pls tell me what to do to get full marks
Answers
like this
you need to move the line at 2 hrs 15 to 5 hrs 15 and then adjust all your lines that connect them
HEHE SORRY BUT PLEASE! the sum of A plus B equals 15. if B = 9, which equation can be used to find the value of A?
Answers
Answer:
A + 9 = 15
Step-by-step explanation:
given:
A + B = 15
if B is given 9, put it into the equation.
A + B = 15
A + 9 = 15
A = 15 - 9
A = 6
I need the answer and work show!! ASAP!!!! PLEASE
Answers
Answer:
Refer to the attachmentThe value of angle is 40 degrees
The value of angle P is 140 degrees
Properties of a ParallelogramThe opposite angles of a parallelogram are equal. The opposite sides of a parallelogram are equalThe sum of angle in a parallelogram is 360 degree
Therefore,
∠S = x + 15
∠p = 6x - 10
2(x + 15) + 2(6x - 10) = 360
2x + 30 + 12x - 20 = 360
14x + 10 = 360
14x = 350
x = 350 / 14
x = 25 degrees
∠S = x + 15 = 25 + 15 = 40 degrees
∠p = 6x - 10 = 6(25) - 10 = 150 - 10 = 140 degrees
learn more on parallelogram here: https://brainly.com/question/1563728
multiplying polynomial (x^2-6x-4)(x+4)
Answers
Answer:
x^3-2x^2-28x-16 is the answer
Miss Curtis picked 18 apples she bake 2/3 of them into a pie the apples are represented below how many apples did she bake into the pie
Answers
Answer:
12 apples
Step-by-step explanation:
apples basked into a pie = 2/3 * 18 = 12
What is the slope in
this equation?
y = mx + b
A. M
B. B
Answers
Answer:
M
Step-by-step explanation:
B is the y-intercept, and obviously it couldn't be that. M is the slope, 200% sure. That wasn't a typo either lol.
evaluate the expression s = 7;6s2
Answers
Hey there!
6s^2 or 6s2
= 6(7)^2 or 6(7)(2)
= 6(7 * 7) or 42(2)
= 6(49) or 84
= 294 or 84
Possible answer #1: 294
Possible answer #2: 84
We will just that your answer is: 294
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
Solve the system of equations by the substitution method.
x+11y=51 3x+5y=13
Answers
Answer:
(-4, 5)
Step-by-step explanation:
Hi there!
We are given the following system:
x+11y=51
3x+5y=13
And we want to solve it by substitution.
When we solve a system by substitution, we want to solve one of the equations for a variable; the variable should equal an expression containing the other variable. Then, we substitute that expression into the other equation as the variable we solve for, solve for that variable, and then use the value of the solve variable to find the value of the first variable
It's easier to solve for a variable if the leading coefficient in front of that variable is 1, like with x in the first equation (x+11y=51)
To solve this equation for x, we can subtract 11y from both sides.
x+11y=51
-11y -11y
_____________
x=51-11y
Now substitute 51-11y as x in 3x+5y=13:
3(51-11y)+5y=13
Multiply
153-33y+5y=13
Combine like terms.
153-28y=13
Subtract 153 from both sides
-28y=-140
Divide both sides by 28
y=5
Now substitute 5 as y in 51-11y to solve for x.
x=51-11y
x=51-11(5)
multiply
x=51-55
Subtract
x=-4
The answer is x=-4, y=5, or as a point, (-4, 5)
Hope this helps!
See more on solving systems of equations by substitution here: https://brainly.com/question/26578968
X + 9.5 = 35 what is the answer??
Answers
Answer:
x=25.5
Step-by-step explanation:
x + 9.5 = 35
Using the subtraction property of equality, we can subtract 9.5 from both sides:
x + 9.5 - 9.5 = 35 - 9.5
x=25.5
The required solution of the given equation is given as x = 25.5.
What is simplification?The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Here,
Given expression,
x + 9.5 = 35
Subtract 9.5 from both sides.
x = 35 - 9.5
x = 25.5
Thus, the required solution of the given equation is given as x = 25.5.
Learn more about simplification here:
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15 The price of a sweater was reduced from $20 to $12. By what percentage was the price of the sweater reduced? A 8% B 80% C 60% D 40%
Answers
Answer:
60%
Step-by-step explanation:
Put the percentages into decimal form and multiply by the 20. When you do this to the 60%, you get what they say the final total is, 12
Answer:
Step-by-step explanation:
the mismimostt plain and simple answer is that it's 60%
hope this helps :)
what is 20/16=d/12? what equals d?
Answers
Answer:
d = 15
Step-by-step explanation:
Divide the numbers
[tex]\frac{20}{16} =\frac{d}{12}[/tex]
[tex]\frac{5}{4} =\frac{d}{12}[/tex]
Multiply all terms by the same value to eliminate fraction denominators
[tex]12*\frac{5}{4} =12*\frac{d}{12}[/tex]
Cancel multiplied terms that are in the denominator
[tex]12*\frac{5}{4} =d[/tex]
Multiply the numbers
[tex]15=d[/tex]
Move the variable to the left
[tex]d=15[/tex]
Hence, d= 15.
[RevyBreeze]