Answer:
[tex]5q^8y^{16}\sqrt{5qy}[/tex]
Step-by-step explanation:
[tex]\sqrt{125q^{17}y^{33}} =\sqrt{5*5^2*q*q^{16}*y*y^{32}}=5q^8y^{16}\sqrt{5qy}[/tex]
The length of a rectangle is 4FT less than three times the width, and the area of the rectangle is 55FT. Find the dimensions of the rectangle.
Answer:
The required dimensions of rectangle are 11 feet and 5 feet.Step-by-step explanation:
Given, The length of a rectangle is 4 ft less than three times the width, and the area of the rectangle is 55 ft².
Let's assume width of rectangle be x feet and length be 3x - 4 feet. Using the formula of Area of rectangle we'll find the value of length and width.
[tex] \\ \dashrightarrow{ \red{ \underline{ \underline {\sf\: \:Area _{(rectangle)} = Length \times width}}}} \\ \\ [/tex]
Substituting the required values:
[tex]\dashrightarrow\: \: (3x - 4)(x) = 55 \\ [/tex]
[tex]\dashrightarrow\: \: 3x^2 - 4x = 55 \\ [/tex]
[tex]\dashrightarrow\: \: 3x^2 - 4x - 55 = 0 \\ [/tex]
[tex]\dashrightarrow\: \: 3x^2 + 11x - 15x - 55 = 0 \\ [/tex]
[tex]\dashrightarrow\: \: x(3x+11) -5(3x+11) = 0 \\ [/tex]
[tex]\dashrightarrow\: \: (x-5)(3x+11) = 0 \\ [/tex]
[tex] { \red{ \dashrightarrow\: \: { \underline{ \underline{ {x = 5 \: or \: \dfrac{-11}{3}}}}}}} \\ \\ [/tex]
Hence,
Length of rectangle = 3x - 4 = 3(5) -4 = 11 feet Breadth of rectangle= x = 5 feet[tex]\therefore[/tex] The required dimensions of rectangle are 11 feet and 5 feet.
Cameron buys a pack of pencils and a pencil sharpener for $15. The pencil sharpener costs twice as much as the pack of pencils. How much does the pack of pencils cost?
A. $2
B. $10
C. $5
D. $30
Answer:
D. $30
Step-by-step explanation:
All you have to do is multiply 15 by 2 and you'll get 30.
a spinner has 8 congruent sectors: 6 yellow and 2 green. the radius of the spinner is 5cm. what is the area of the yellow sector.
Area of the yellow sector is 58.91 cm2
The spinner has a circular shape and would be solved as a circle.
Area of a circle = pi r^2
= 3.142 * 5^2
= 78.55 cm2
The circle is divided into 8
78.55 / 8 = 9.8188
Area of 6 parts = 6 * 9.8188
= 58.9128 cm2
Which expression is equivalent to 1/²
Or³
o po
o 12
0,27
Answer:
[tex]r^6[/tex]
Step-by-step explanation:
Hello!
Using the exponent rule [tex]\frac{a^b}{a^c} = a^{b-c}[/tex], we can simplify this expression.
Simplify:
[tex]\frac{r^9}{r^3}[/tex][tex]r^{9-3}[/tex][tex]r^6[/tex]The solution is [tex]r^6[/tex]
What are the vertices of A'B'C if ABC is dilated by a scale factor of 1/6?
The coordinates of the vertices A'B'C when ABC is dilated by a scale factor of 1/6 are 1/6(x,y)
How to determine the vertices?The rule of transformation is given as:
Dilation by a scale factor of 1/6
Mathematically, this is represented as:
(x,y) => 1/6(x,y)
This means that the coordinates of the vertices ABC are multiplied by 1/6 to get the coordinates of the vertices A'B'C
Read more about dilation at:
https://brainly.com/question/3457976
#SPJ1
A multiple-choice test has five possible answers for each question. If a student guesses at the answer, what is the probability that he or she selects the correct answer for one particular question?
Answer:
20% chance of getting the right answer
Step-by-step explanation:
he has a 1/5 chance, translated into 20 percent
High school students across the nation compete in a financial capability challenge each year by taking a National Financial Capability Challenge Exam. Students who score in the top 14 percent are recognized publicly for their achievement by the Department of the Treasury. Assuming a normal distribution, how many standard deviations above the mean does a student have to score to be publicly recognized?
Using the normal distribution, it is found that a student has to score 1.08 standard deviations above the mean to be publicly recognized.
Normal Probability DistributionIn a normal distribution with mean [tex]\mu[/tex]standard deviation [tex]\sigma[/tex]z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
It measures how many standard deviations the measure is from the mean. After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.The top 14% of the scores are given by scores above the 86th percentile, which corresponds to Z = 1.08, hence, a student has to score 1.08 standard deviations above the mean to be publicly recognized.
More can be learned about the normal distribution at https://brainly.com/question/24663213
Hallar M=64(n+2)=141(5)
Ayuda en este ejercicio porfa :,(
Answer:
n≈9
n=9.015625
Step-by-step explanation:
64(n+2)=141(5)
Break up the parenthesis.
64n+128=705
Subtract 128 from both sides.
64n=577
Divide 64 from both sides.
577/64
Then you get your answer.
n≈9
Solve.
-14 - (-12)
A. -26
B. -2
C. 2
D. 26
Answer:
-2
Step-by-step explanation:
Apply the rule for this:
a - (- b) = a + b
Thus, we have:
-14 - (-12) = -14 + 12
Add the number:
Since there are more negative than positive the final solution is negative
Hence, now 14 - 12 = 2
Now bring the negative down:
-2
Therefore, the answer is -2
Kavinsky
When there are two minuses beside each other
⇒ we can equate them as a '+'
so:
-14 - (-12) = -14 + 12 = -2 or Choice (B)
Hope that helps!
Easy math 2 pictures
Answer:
See below
Step-by-step explanation:
x = hours
Payless charges = 50 + 60x
Squad charges = 80 + 50x when are they equal ?
50 + 60x = 80 + 50x
x = 3 hours
Surface area = 2 * ( 10 *5 + 5*3 + 3*10) = 190 ft^2
Car A travels at a rate of 45 miles per hour.
Car B travels at a rate of 80 miles in 2
hours. Find the unit rate of each car. Which
car is traveling faster?
Unit rate in this case denotes to distance traveled in miles per hour.Indirectly it denotes to speed
#Car A
Speed=45mph#Car B
Speed=Distance/Time=80/2=40mphAs we can observe
car A is traveling faster
Maria has 9 boxes that each weigh 78 pound.
How many pounds do the boxes weigh altogether?
Answer:
702 pounds
Step-by-step explanation:
9 * 78 = 702
Answer:
If Maria has 9 boxes that each weigh 78 pounds, in total the boxes would weigh 702 pounds.
Step-by-step explanation:
9 x 72 = 702 pounds
Your welcome! :)
12x +15x² - 18x³
Factorise the expression
Answer:
-3x(2x+1)(3x-4)
Step-by-step explanation:
Add and subtract the second term to the expression and factor by grouping.
Anser and Explanation:
First, factor out an x to get:
[tex]x(-18x^2 + 15x + 12)[/tex]
Then, factor out a -3:
[tex]-3x(6x^2 - 5x - 4)[/tex]
Finally, factor by grouping:
[tex]-3x(6x^2 + 3x - 8x - 4)[/tex]
[tex]-3x(3x(2x + 1) - 4(2x + 1))[/tex]
[tex]-3x(3x - 4)(2x + 1)[/tex]
so -3x(3x - 4)(2x + 1) is the factored expression.
A city has 15 stations, including 6 hip hop stations. What is the possibility that a randomly chosen radio station in the city was a hip-hop station? Write your answer as a fraction or whole number.
Answer:
I'm pretty sure the answer is 6½
Find an equation for the line that passes throughthe points (1,-1) and (-3,5)
y = -1.5(x) + 0.5
points: (1,-1) and (-3,5)
slope:
⇒ (y2-y1)/(x2-x1)
⇒ (5-(-1))/(-3-1)
⇒ 6/-4
⇒ -1.5
equation:
⇒ y -(-1) = -1.5(x-1)
⇒ y + 1 = -1.5(x) + 1.5
⇒ y = -1.5(x) + 0.5
What is the radius of the circle?
Answer:
13cm
Step-by-step explanation:
In this case you have to use the Pythagorean theorem.
cy = 24/2
cy=12 cm ( a perpendicular drawn to a chord from the center bisects the chord..
ac=5 cm (given)
now,
ay^2= 25cm + 144 cm
ay^2 = 169 cm
√169 = 13 cm
Answer:
13 cm
Step-by-step explanation:
Since AC is perpendicular to XY , and XA and AY are both radii of the same circle, you can say that AC is a perpendicular bisector.
From there, we can say that XC is 1/2 of 24 cm, or 12 cm.
We can then form triangle ACX use the Pythagorean theorem to find the length of AX.
The square root of 12^2 + 5^2 is 13.
Therefore, the radius of the circle is 13 cm
FIND THE VALUE OF X FOR BRAINLIEST!!! :D
Answer:
x = 41
Step-by-step explanation:
x = 180 - 97 - 42
x = 41
Sum of the triangle = 180
I hope my answer helps you.
Answer:
x° = 41°
Step-by-step explanation:
x° = (180-42- 97)° = 41°
Hope this helps
could someone help me super duper fast with factoring trinomials
my previous questions are worth 50 each by the way
Answer:
(3a+3b+1)(2a+2b+3)
Step-by-step explanation:
This is the farthest they could be factored
#1
6(a+b)²+11(a+b)+3Let a+b=x
6x²+11x+36x²+2x+9x+32x(3x+1)+3(3x+1)(2x+3)(3x+1)Put value
(2(a+b)+3)(3(a+b)+1)#2
8(x+1)²-14(x+1)+3Let x+1=y
8y²-14y+38y²-2y-12y+32y(4y-1)-3(4y-1)(2y-3)(4y-1)Put value
(2(x+1)-3)(4(x+1)-3)Which statement correctly maps AB to A′B′
x,y)↦(x+7,y−8)(x,y)↦(x+7,y−8)
(x,y)↦(x+8,y−7)(x,y)↦(x+8,y−7)
(x,y)↦(x−8,y+7)(x,y)↦(x−8,y+7)
(x,y)↦(x−7,y+8)
Answer:x+8, y-7
Step-by-step explanation:
Define a rational number and show that no rational number x belongs to Q satisfies x² = 2
Answer:
A rational number is a number that can be expressed as a fraction of two integers.
if x²=2 then x=√2, but √2 is an irrational number (not rational), so there is no rational number x that satisfies x² = 2.
Step-by-step explanation:
Help help help help math
Answer:
Step-by-step explanation:
2x+y
=2(2)+1
=4+1
=5
Answer:
5
Step-by-step explanation:
Sub x=2, y = 1
2(x) + y = 5
2(2) + 1 = 5
please help me Find m
Answer:
60 degrees
Step-by-step explanation:
any closed shape has a sum of 360 degrees, now if you subtract 150 from 360 it gives you 210 minus 90 degrees, it would equal to 120. Now 120 divided by 2 since we still need to find the other two corners we haven't found, that would equal to 60 degrees.
Find the range of the following sets of numbers 100,90,20,40,0,76
Answer:
100
Step-by-step explanation:
Range = highest - lowest (R = H - L)
In order, the set is 0, 20, 40, 76, 90, 100
100-0 = 100
Answer:
100
Step-by-step explanation:
Range = Highest value -lowest value
100-0=100
Convert 85 miles per hour to meters per second. (Use 1.61 km = 1 mile)
show the steps
Answer:
38.0 m/s
Step-by-step explanation:
Units conversion can be done by multiplying by appropriate conversion factors. Each conversion factor has a value of 1: the numerator is equal to the denominator, but the units are different. The units are chosen so that cancelling unwanted units gives the set of units you want.
__
[tex]\dfrac{85\text{ mi}}{1\text{ h}}\times\dfrac{1.61\text{ km}}{1\text{ mi}}\times\dfrac{1000\text{ m}}{1\text{ km}}\times\dfrac{1\text{ h}}{3600\text{ s}}=\dfrac{85\cdot1.61\cdot1000\text{ m}}{3600\text{ s}}\\\\\approx\boxed{38.0\text{ m/s}}[/tex]
Help picture below problem 23 will give brainlest
Answer:
It will take them 5 hours to make 180 cupcakes
Step-by-step explanation:
17 + 19 = 36 x 5 = 180
Answer:
5 hours
Step-by-step explanation:
so since it al together you add 17+19 which equals 36. after that you divide 180 by 36 which equals 5. to recheck this I multipled 17 by 5 and 19 by 5. equaling 85 plus 95 equals 180 meaning it is 5
x^2+y^2=y is written in polar form as r = ?
r = 3sinA is written in rectangular form as x^2+y^2= ?
[tex]x^2+y^2=r^2~\hfill x=rcos(\theta )~\hfill y=rsin(\theta ) \\\\[-0.35em] ~\dotfill\\\\ r=3sin(A)\implies \stackrel{\textit{multiplying both sides by "r"}}{r^2~~ = ~~3~rsin(A)}\implies x^2+y^2=3y[/tex]
r = 3sinA is written in rectangular form as[tex]x^2+y^2 = 3y.[/tex]
What is De Moivre's theorem for exponentiation of complex numbers?Any complex number z = a + ib can be written in polar form as:
[tex]z = r(\cos(\theta) + i\sin(\theta))[/tex]
Complex numbers are those numbers that contain the imaginary and the real part.
Raising this to nth power (n being an integer), we get:
[tex]z ^n = r^n (\cos(n\theta) + i\sin(n\theta))[/tex]
We need to find r = 3sinA is written in rectangular form as[tex]x^2+y^2[/tex].
We know that
x = r cosA
y = r sin A
We have been given ;
r = 3sinA
Multiply by r on both sides;
[tex]r^2 = 3r sin A\\\\r^2 = 3 y[/tex]
therefore,
[tex]x^2+y^2 = 3y[/tex]
Hence, r = 3sinA is written in rectangular form as [tex]x^2+y^2 = 3y[/tex].
Learn more about cube root of complex numbers here:
https://brainly.com/question/16048106
#SPJ5
3+3x3+3
Whats the total
21
36
15
Answer:
c. 15
Hope it helpz~
please mark me as brainliest
step by step
short answer please
Choose all statements that are true.
A 15% of 15 is 1.
B 5% of 50 is 10.
C 10% of 100 is 10.
D 2% of 100 is 5.
E 3% of 200 is 6.
Answer:
C, D, E
Step-by-step explanation:
15 * .15 = 2.25
50 * .05= 2.5
100 * .10= 10
100 * .05= 5
200 * .03= 6
PLEASE ANSWER FOR EXTRA POINTS ⭐️⭐️⭐️!
Answer:
the answer is B.(3,6)
because y>2
so,the answer is 3&6.