Answer:
[tex]-\frac{3p^8}{4q^3}[/tex]
Step-by-step explanation:
[tex]\frac{15p^{-4}q^{-6}}{-20p^{-12}q^{-3}}[/tex] can be broken down into three fractions, coefficients, powers of p, powers of q.
[tex]-\frac{15}{20}\cdot\frac{p^{-4}}{p^{-12}}\cdot\frac{q^{-6}}{q^{-3}}[/tex]
Simplify the first fraction, then simplify the others by subtracting numerator exponents minus denominator exponents.
[tex]-\frac{3}{4} p^{-4-(-12)} q^{-6-(-3)} =-\frac{3}{4} p^8 q^{-3} = \alpha -\frac{3p^8}{4q^3}[/tex]
What's the Pythagorean Theorem?
If anyone could assist, I would be happy to award you brainliest!
Answer:
The pythagorean theorem is a^2 + b^2 = c^2
Step-by-step explanation:
Not sure what you're asking! Sorry! :)
describe fully the single transformation that takes shape p onto shape q
Answer:
The single transformation that takes shape 'p' onto shape 'q' is a dilation by a scale factor of 3 with the center point (1, 0)
Step-by-step explanation:
The coordinates of the vertices of shape ΔP are;
A(2, 3), B(2, 1), C(3, 1)
The length AB = 3 - 1 = 2
The length CB = 3 - 2 = 1
∴ The length AC = √(2² + 1²) = √5
The coordinates of the vertices of shape ΔQ are;
A'(4, 9), B'(4, 3), C'(7, 3)
The length A'B' = 9 - 3 = 6
The length C'B' = 7 - 3 = 3
∴ The length A'C' = √(6² + 3²) = √(45) = 3·√5
∴ Figure Q ΔA'B'C' is a dilation of figure P ΔABC by a scale factor of A'B'/AB = 6/2 = 3
The distance of point B(2, 1) from the point (1, 0) = √((2 - 1)² + 1²) = √2
The distance of point B'(4, 3) from the point (1, 0) = √((4 - 1)² + 3²) = 3·√2
Therefore, the distances of points on figure Q from (1, 0) = 3 × the distances of points on figure from (1, 0)
Therefore, figure 'Q' can be obtained from figure 'P' by a dilation of figure 'P' by a scale factor of 3 with the center of dilation at point (1, 0).
What's the area of this 3d shape??
Answer:
You need to do 7 time 8 times 2 times 3
A bag contains yellow balls, pink balls and green balls only.
The ratio yellow balls : pink balls : green balls = 7:3:5.
There are 42 yellow balls in the bag.
Work out the total number of balls in the bag.
What’s the answer
Answer:
90
Step-by-step explanation:
M1 for ( ) 42/7 [x(7+3+5)] soi by 6
=90
Assuming there are only 42 yellow balls in the bag. The total number of balls in the bag is 90 balls.
Total number of ballsFormulate
42×(3+5+7)÷7
Reduce the fraction
42÷7×(3+5+7)
6×(3+5+7)
Hence:
Total number of balls=6×15
Total number of balls=90 balls
Inconclusion the total number of balls in the bag is 90 balls.
Learn more about total number of balls in the bag here:https://brainly.com/question/281805
A fish swimming at the same depth as the hook at the end of her fishing line in s 60 feet away
Answer:
.
Step-by-step explanation:
ILL GIVE BRAINLIEST. plsss help asap
Answer:
first one
Step-by-step explanation:
Answer:
It will be the first answer, Both balls will at the same rate
Bob's gift shop sold a record number of cards for Mother's Day. One salesman sold 24
cards, which was 20% of the cards sold for Mother's Day. How many cards were sold
for Mother's Day?
Answer:
120
Step-by-step explanation:
20 * 5 = 100 so we multiply 24 by 5 and that equals 120
This petite girl, short as can be is gonna jump and be free
-Rachie [My R]
for god sake pls are you serious?! i just can't believe! for a st...upi...d reason you got here before me?!? are you upset cuz you can't have what you wanted?!
What is the surface area of the prism?
1.
5 in.
4 in.
5 in
Answer:
140
Step-by-step explanation:
a yellow box contains 400 tickets that come in three colours. Blue, green, and yellow. the ratio of blue to green tickets is 1:3. the ratio of green to yellow tickets is 1:4. what aid the smallest number of tickets that must be drawn from the box to ensure that at least 50 tickets of one colour have been selected
which statement is true
Ashley drew the triangle LMN on the grid below
What is the area of triangle LMN?
Answer:
B. 27 square units
Step-by-step explanation:
Area of ∆LMN = ½(base*height)
base = MN = 6 units
height = distance from L to MN = 9 units
Plug in the values into the formula
Area of ∆LMN = ½(6*9)
Area = ½(54)
Area = 27 square units
what is the value of x
Answer:
8
Step-by-step explanation:
Lines have angles that are equal to 180. Therefore, because we already have 140 of the 180 necessary, we can subtract 140 from 180 to get 40. 40 divided by 5 is 8.
Hope that this helps!
Answer:
I. x=8
Step-by-step explanation:
lines form 180° angles so
140 +5x= 180 ; subtract 140 from both sides
5x= 180-140; divide both sides by 5
x= 40/5 = 8
Which function has a maximum that is greater than the maximum of the graph g(x)?
O y = (x + 3)2 + 2
y=-5 (x+3)2 + 4
O y=- } (x - 2)2 +3
O
y = (x - 2)2 + 4
solve the absolute value equation
|x+1|=|2x-6|
Answer:
x = 5, and/or x= - 7/3
Step-by-step explanation:
|x+1|=|2x+6|
We know eitherx+1=2x+6orx+1=−(2x+6)
x+1=2x+6(Possibility 1)
x+1−2x=2x+6−2x(Subtract 2x from both sides)
−x+1=6
−x+1−1=6−1 (Subtract 1 from both sides)
−x=5
(Divide both sides by -1)
x=−5
x+1=−(2x+6)(Possibility 2)
x+1=−2x−6(Simplify both sides of the equation)
x+1+2x=−2x−6+2x(Add 2x to both sides)
3x+1=−6
3x+1−1=−6−1(Subtract 1 from both sides)
3x=−7
Divide both sides by 3
x= −7 / 3
Check answers. (Plug them in to make sure they work.)
x=−5(Works in original equation)
x= −7/3
(Works in original equation)
Answer:
x=−5 or x= −7 / 3
Question 7 of 10
These box plots show daily low temperatures for a sample of days in two
different towns.
Degrees (F)
Which statement is the most appropriate comparison of the spreads?
Answer:
A
Step-by-step explanation:
In a box plot, interquartile range (IQR) can be used to describe the spread of any given data.
IQR = Q3 - Q1
✔️IQR for Town A:
Q3 = 40
Q1 = 20
IQR = 40 - 20 = 20°
✔️IQR for Town B:
Q3 = 30
Q1 = 20
IQR = 30 - 20 = 10°
We can conclude that the IQR for town A, 20°, is greater than the IQR for town B, 10°.
Jeremy rounded the weight of his fruit to the nearest whole. He said his bag of apples weighed 4 pounds. What could have been the actual weight of his bag of apples? Group of answer choices
Answer: 3.5 - 4.4 pounds
Step-by-step explanation:
You included no options so I answered with the range of the answer.
When rounding a number up to the nearest whole number, the number needs to have the first decimal being 0.5 and above all the way to 0.9.
When rounding a number down to the nearest whole number, the number needs to have its first decimal being 0.1 to 0.4 to be rounded down.
For instance, 3.5 to 3.9 would get rounded up to 4 pounds.
4.1 to 4.4 would be rounded down to 4 pounds.
Use the data to answer the question.
28, 32, 36, 37, 39, 41, 41, 43, 45
What is the median of the data?
OA 37
B. 38
Oc. 39
D
41
Answer:
c. 39
Step-by-step explanation:
you have to find the middle of this. 39 is the middle.
Find the tangent line equation of the curve at the given point. Y=arcsin(7x) at the point where x=sqrt2/14
Answer:
[tex]Y-\frac{\pi}{2} =\frac{\pi}{2} (x+\sqrt{\frac{1}{7}})[/tex]
Step-by-step explanation:
The equation of the curve is
[tex]Y = sin^{-1}(7x)[/tex]
To find the equation of tangent we need to differentiate this equation w.r.t x
So, differentiating we get
[tex]Y'=\frac{7}{\sqrt{1-49x^2} }[/tex]
This would give the slope of the tangent line at any given point of which x coordinate is known. In the present case it is [tex]x = \sqrt{\frac{1}{7} }[/tex]
Then slope would accordingly be
[tex]Y'=\frac{7}{\sqrt{1-49/49} }[/tex]
= ∞
For, [tex]x = \sqrt{\frac{1}{7} }[/tex], [tex]Y = sin^{-1}(7/7)= \pi/2[/tex]
Equation of tangent line, in the point slope form, would be [tex]Y-\frac{\pi}{2} =\frac{\pi}{2} (x+\sqrt{\frac{1}{7}})[/tex]
hi can someone pls help me, I’m confused
Answer:
(E) 72 w^2 is the answer
Step-by-step explanation:
outer square area is 81 w^2
inner square area is 9 w^2
subtracting outer - inner we can get the shaded area
so 81 -9= 72w^2
Answer:
E. 72w²
Step-by-step explain:
Area I = a × a= 9w × 9w
= 81w²
Area II = a × a= 3w × 3w
= 9w²
Shaded area = Area I - area II= 81w² - 9w²
= 72w²
#CMIIWWhich statement must be true?
Find the area of the composite figure
Answer:
370mm
Step-by-step explanation:
15mm×30mm=450mm
8mm×10mm
450mm-80mm =370mm
A jar contains 2 orange, 4 green, 2 white and 2 black balls. What is the probability of drawing an orange ball without putting it back, then drawing a black ball? (write your answer as a simplified fraction)
Answer:
2/45
Step-by-step explanation:
We are told that:
A jar contains 2 orange, 4 green, 2 white and 2 black balls.
The total number of balls in the jar is calculated as:
2 orange balls + 4 green balls + 2 white balls + 2 black balls = 10 balls
The probability of drawing an orange ball = P(Orange) = 2/10
The probability of drawing a black ball = P(Black) = 2/10
Therefore, the probability of drawing an orange ball without putting it back, then drawing a black ball is calculated as:
2/10 × 2/9 = 4/90
= 2/45
WILL MARK BRAINLIEST IF GOTTEN RIGHT!!!!
Answer:
C
Step-by-step explanation:
Using Pythagoras' identity in right triangle BPO
with PB = 4 ( half of AB ) and OB = 5 ( radius of circle )
OP² + 4² = 5²
OP² + 16 = 25 ( subtract 16 from both sides )
OP² = 9 ( take the square root of both sides )
OP = [tex]\sqrt{9}[/tex] = 3
Help pls I have absolutely no idea how to solve this and I don’t know what the answer is
Answer:
similar but i dont know which one sorry
Step-by-step explanation:
SHOW YOUR WORK. The volume of the cylinder is 235.6 ft cubed. Find the height.
Answer:
Answer: 3 feet
Step-by-step explanation:
Here's the complete question:
The volume of the cylinder is 235.6 cubic feet the radius is 5ft. Find the height.
Note that Volume of a cylinder = πr²h
where Volume = 235.6 feet³
Radius = 5 feet
Height = Unknown
Then, we put the values back into the question and this will be:
V = πr²h
235.6 = 3.14 × 5² × h
235.6 = 3.14 × 25 × h
235.6 = 78.5 × h
h = 235.6 / 78.5
h = 3 feet
The height is 3 feet
Step-by-step explanation:
Pls hurry , timed test
Answer:
c
Step-by-step explanation:
[Easy Points] Kanna Kamui sees 3 snowmen. Then he sees 2 more. How many snowmen did Kanna see in all?
Answer:
the correct answer is 5 snowmen
HELPPPP PLEASE !!!!!!!!!!!!!!
Answer:
113°
Step-by-step explanation:
triangles add up to 180°
180° - 34° - 33° = 113°
==============================================
Explanation:
For any triangle, the three interior angles must add to 180 degrees
34+33+x = 180
x+67 = 180
x = 180-67 ... subtract 67 from both sides
x = 113
This triangle is obtuse because the 113 degree angle is larger than 90 degrees. Also, the triangle is scalene because all three angles are different values (consequently, it means all three sides are different from one another).
Given the figure below find the value of x and d
Answer:
x = 2
z = 118
Step-by-step explanation:
The angle with a measure of 118° and the angle labeled "x" are vertical angles
As we know, vertical angles are congruent
Thus, because x's vertical angle equals 118° x also equals 118°
The angle with a measure of 118° and the angle labeled by the expression ( 12x + 38 ) are supplementary angles
Supplementary angles add up to equal 180
Thus, 12x + 38 + 118 = 180
^Note that this is the equation we will use to solve for x
12x + 38 + 118 = 180
step 1 combine like terms
118 + 38 = 156
we now have 12x + 156 = 180
step 2 subtract 156 from each side
156 - 156 cancels out
180 - 156 = 24
we now have 24 = 12x
step 3 divide each side by 12
12x / 12 = x
24 / 12 = 2
we're left with x = 2