Answer:
[tex]64a^{3} b^{6}[/tex]
Step-by-step explanation:
1) Distribute the exponent outside of the parentheses to the terms inside the parentheses. In this case, multiply the 3 outside the parentheses with the exponent of each of the terms inside:
[tex](4ab^{2} )^3[/tex]
[tex]4^{3}[/tex] · [tex]a^{3}[/tex] · [tex]b^{6}[/tex]
2) The variables are fine - you can't simplify them further. All you need to do now is multiply the [tex]4^{3}[/tex] out. Remember that it's kind of like asking, "what is 4 × 4 ×4?"
[tex]4[/tex] · [tex]4[/tex] · [tex]4[/tex] · [tex]a^{3}[/tex] · [tex]b^{6}[/tex]
[tex]16[/tex] · [tex]4[/tex] · [tex]a^{3}[/tex] · [tex]b^{6}[/tex]
[tex]64a^{3} b^{6}[/tex]
Therefore, [tex]64a^{3} b^{6}[/tex] is the answer.
Josh is ordering an ice cream dessert. He must order a size, a flavor of ice cream, and a topping. There are 3 sizes, 2 flavors, and 2 toppings to choose
from. How many different ice cream desserts could he order?
Step-by-step explanation:
So if there are 3 sizes, 2 flavors and 2 Toppings to choose from, then there are
3 * 2 * 2 possible combinations
For example:
S = 3 sizes
F = 2 flavours
T = 2 toppings
Then there are 3 * 2 * 2 = 12 possible combinations
Use the table below to answer the following questions:
What is the slope? (Write only the number)
What is the y-intercept? (Write only the number)
Write a linear equation y=mx + b to represent the table:
Answer:
Y = x + 10
Slope - 1/2
y-intercept - (0,10)
Y = 2x + 12
slope 2/1
y intercept (0,10)
Y = 4 x + 14
Slope 4/1
Y intercept (0,14)
Step-by-step explanation:
2. The graph below shows how the water level of a swimming pool changes as the pool is
filled with water. What does the slope of the graph represent?
7
6
Depth of Water In
Swimming Pool (In foot)
N
1 2 3 4 5 6 7
Time (in hours)
A the time it takes to fill the pool completely
B. the maximum depth of the water in the pool
C. the rate at the pool fills in feet per hour
D. the rate at which the pool fills in hours per foot
Answer:
C. the rate at the pool fills in feet per hour
Step-by-step explanation:
Given
The attached graph
Required
What does the slope represent?
The slope of any graph can be calculated using:
[tex]Slope = \frac{Rise}{Run}[/tex]
Where:
Rise = The change in the vertical axis
Run = The change in the horizontal axis within the same interval as the Rise
The vertical axis measures depth in feet and the horizontal axis measures time in hour.
So:
[tex]Slope = \frac{Depth}{Time}[/tex]
or
[tex]Slope = \frac{Feet}{Hour}[/tex]
This means that the slope measures rate in feet per hour
The measure of <1
I don’t understand how to solve
Answer:
<1=55°
Step-by-step explanation:
180-125=55
Could someone help me please it’s a math question !
Answer:
1/4
Step-by-step explanation:
The answer the other guy told is wrong.
The probability of choosing an orange marble is 2/8 and 2/8 simplified equals 1/4
Al’s dog breathed 130 times in 5 minutes. At this rate, how many breaths should his dog take in 60 minutes?
Answer:
1560 breaths
Step-by-step explanation:
130/5=26
26*60
1560 breaths
HELP ASAP will give brainly Which of the following lists is in order from smallest to largest?
, 0.04, 25%
0.04, 25%,
, 25%, 0.04
25%, 0.04,
Answer:
0.04, 25%Step-by-step explanation:
25% = 0.25 > 0.04
Therefore the order from smallest to largest is:
0.04, 25%PLEASE HELP!!! i’m taking a test rn and i don’t remember learning this!!!!
What shape should you sketch based on the center of the hyperbola and
a,b?
A. triangle
B. circle
C. trapezoid
D. rectangle
Answer:
Rectangle
Step-by-step explanation:
Find the equation of the graphed line.
a. y = x1/2 x2
b. y = -2x-4
c. y = 4x -2
d. y = -4x = 2
Suppose we want to test to see if a roulette wheel is balanced. The wheel is spun 100 time resulting in 58 red outcomes. Is this evidence that the roulette wheel is out of balance
Solution :
Here, [tex]$ \hat p$[/tex] = sample proportion of red outcomes
[tex]$ \hat p =\frac{58}{100}$[/tex]
[tex]$ \hat p$[/tex] = 0.58
So we have to test,
[tex]$H_0 : p = 0.5$[/tex]
V/S [tex]$H_a: p \neq 0.5 $[/tex]
The test statistic is
[tex]$z = \frac{\hat p - p}{\sqrt{\frac{p(1-p)}{n}}}$[/tex]
[tex]$z = \frac{0.58 - 0.5}{\sqrt{\frac{0.5(1-0.5)}{100}}}$[/tex]
[tex]$=\frac{0.08}{0.05}$[/tex]
= 1.600
P value using the z table is 0.110
So P value greater than 0.05
Therefore, there is no evidence that roulette wheel is out of balance.
I need help please, this is homework
Answer:
-1 = 11
0 = 13
1 = 15
2 = 17
5 = 23
Step-by-step explanation:
2 (-1) +13 = 11
2 (0) +13 = 13
2 (1) +13 = 15
2 (2) +13 = 17
2 (5) +13 = 23
A ladder that has a length of 13 m leans against a wall with the base of the ladder 5 m away from the bottom of the wall. Use this information to find how high above the ground the ladder meets the wall
Answer:
did you find the answer ??
The required height of the wall where the ladder meets the wall is 12 m.
Given that,
A ladder that has a length of 13 m leans against a wall with the base of the ladder 5 m away from the bottom of the wall. Use this information to find how high above the ground the ladder meets the wall is to be determined.
In a right-angled triangle, its side, such as hypotenuse, perpendicular and base is Pythagorean triplets.
Here,
Let the height be h,
Applying Pythagoras' theorem,
h = √[13²-5²]
h = √169-25
h = √144
h = 12
Thus, the required height of the wall where the ladder meets the wall is 12 m.
Learn more about Pythagorean triplets here:
brainly.com/question/22160915
#SPJ6
Solving Right Triangles.
10 points - please help!
Offering brainliest to best answer!
Please answer!
Answer: C
Step-by-step explanation:
The missing side of the triangle is the hypotenuse. We are given the length for both legs. To find the midding leg, we need to use teh Pythagorean Theorem.
Pythagorean Theorem: a²+b²=c²
A and b are the legs, while c is the hypotenuse. We plug in the legs and solve for c.
2²+3.6²=c² [exponent]
4+12.96=c² [add]
16.96=c² [square root both sides]
[tex]c=\sqrt{16.96}[/tex]
Now that we have found the hypotenuse, we know the answer is C.
Hello!
[tex]\large\boxed{\sqrt{16.96}cm}[/tex]
Use the Pythagorean theorem to solve for the missing side of the triangle:
a² + b² = c²
Plug in the given side lengths to solve for "c", or the Hypotenuse:
(2)² + (3.6)² = c²
4 + 12.96 = c²
16.96 = c²
Take the square root of both sides:
√16.96 = c
convert 240 yards per hour (yd/h) to yards per minute (yd/min).
9514 1404 393
Answer:
4 yd/min
Step-by-step explanation:
Change 1 hour to 60 minutes.
(240 yd)/(1 h) = (240 yd)/(60 min) = 4 yd/min
Rewrite with only sin x and cos x.
sin 2x - cos x
A. 2 sin x cos^2x
B. sin x
C. cos x (2 sin x - 1)
D. 2 sin x
Answer:
sin2x-cosx2sinx.cosx -cosxcosx (2sinx-1)expand and simplify x(x-3)(x+5)
Answer:
x³ + 2x² - 15x
General Formulas and Concepts:
Algebra I
Expand by FOIL (First Outside Inside Last)Combining Like TermsStep-by-step explanation:
Step 1: Define
x(x - 3)(x + 5)
Step 2: Expand
Distribute x: (x² - 3x)(x + 5)FOIL: x³ + 5x² - 3x² - 15xCombine like terms: x³ + 2x² - 15xfind the length of AB
Answer:
55?
Step-by-step explanation:
........................
Answer:
AB=55
Step-by-step explanation:
9x+1=7x+13
2x=12
x=6
9x+1=9(6)+1
55
DUE AT 11:59 PLEASE ANSWER NOW
Answer:
g = 6
Step-by-step explanation:
5.2g + 10 = 2.2g + 28 (Given)
3g + 10 = 28 (Subtracted 2.2g on both sides)
3g = 18 (Subtracted 10 on both sides)
g = 6 (Divided 3 on both sides)
To check to make sure you are correct, simply substitute your answer for g:
5.2(6) + 10 = 2.2(6) + 28
31.2 + 10 = 13.2 + 28
41.2 = 41.2
You'll know you're correct if they both equal the same. In this case, the solution works.
knowing that concentration of solutions of medications can be expressed as percentage, what percentage is a solution that's 20g of medication per 100 ml solution?
Answer:
20%
Step-by-step explanation:
The percentage of the concentration can be calculated by dividing the amount of solute by the total amount of the solution. In this case the solute would be the 20g of medication while the total solution amount is 100ml. Therefore, we divide these two values like so...
20 / 100 = 0.20
This is the percentage in decimal form, we can now multiply it by 100 to get the percentage value (which in this scenario is simply reversing the previous division)
0.20 * 100 = 20%
Jan 04, 12:41:42 AM
The measures of the angles of a triangle are shown in the figure below. Solve for x
75°
63°
Answer:
x = 20
Step-by-step explanation:
The sum of angle of a triangle is 180. Taking the sum of the angles and equating to 180 will give:
75 + 63 + 4x+2 = 180
138+2+4x = 180
140+2x = 180
2x = 180=140
2x = 40
x = 20
Hence the value of x is 20
which values for x and y satisfy the following equations
y=x-1 and 2x + y=8
25-[20-{10-(7-5-3)}]=
Answer:
16
Step-by-step explanation:
When there are more than 1 brackets , there is a specific order of opening those brackets. First we open the bar , then round brackets , then curly brackets & then square brackets.
Using the order , let's solve this.
25-[20-{10-(7-5-3)}]
=> 25-[20-{10-(7 - 8)}]
=> 25-[20-{10 - (-1)}]
=> 25-[20- {10 + 1} ]
=> 25-[20 - {11}]
=> 25 - [ 20 - 11 ]
=> 25 - [9]
=> 25 - 9
=> 16
LEO has $30. He splits it with his sister in the ratio 3:2. How much money does leo have left?
Answer:
18
Step-by-step explanation:
The number of the students the bus holds, s, is less than 40
Answer:
yes
Step-by-step explanation:
The required expression represents the number of students on the bus would be S < 40.
What is inequality?Inequality can be defined as the relation of the equation containing the symbol of ( ≤, ≥, <, >) instead of the equal sign in an equation.
Here,
According to the question,
The number of students the bus holds, s which is less than 40,
So
S is less than 40
S < 40
[in math we have inequality represent the less than relation or greater than the relation with symbols "<" and ">"]
Learn more about inequality here:
brainly.com/question/14098842
#SPJ1
Which of these expressions is equivalent to?
Number 4
What is this? Please answer with an explanation
Answer:
No
Step-by-step explanation:
Given
f(x) = [tex]\sqrt{x-10}[/tex] + 11 ← substitute x = 1
f(1) = [tex]\sqrt{1-10}[/tex] + 11
= [tex]\sqrt{-9}[/tex] + 11
[tex]\sqrt{-9}[/tex] is not real and therefore x = 1 does not have a real output for f(x)
Find the perimeter and the area of the polygon with the given vertices. A (12,2) B (12,13) C (15,13) D (15,2)
Answer:
perimeter= 28
area=33
Step-by-step explanation:
find the difference between 760 and 188
Answer:
572
Step-by-step explanation:
Work :
Which country boarders the Horn of Africa in the West?
The answer is Ethiopia.
There are 4 countries in the horn of Africa.They are Eritrea,Ethiopia,somalia and Djibouti
15. Express 2/5 as a percentage
Answer:
[tex]40\%[/tex]
Step-by-step explanation:
[tex] \frac{2}{5} \times 100 = 40\%[/tex]
Divide 2 by 5 to get a decimal, then multiply the decimal by 100 to get a percent.
2/5 = 0.4
0.4x100 = 40
2/5 = 40%