Answer:
[tex]\frac{11^{4} }{11^{11} } ,\frac{1}{11^{-4} }, 11^{5}*11^{2}, (11^{-3})^{-3}[/tex]
Step-by-step explanation:
For this, you need to know the rules of exponents:
If the coefficient is the same, you can do things to it (which I will get into)
In this case, all the coefficients are 11, so we don't have to worry about the coefficients being different.
For the first one, you can subtract the denominator exponent by the numerator exponent like so:
[tex]11^{4} * 11^{-11} = 11^{-7}\\[/tex]
(When you multiply, you add the exponents)
Also, the rule is: [tex]x^{-y} = \frac{1}{x^{y} }[/tex] or [tex]\frac{1}{x^{-y} } = x^{y}[/tex]
For the second one, you can use the rule mentioned before:
[tex]\frac{1}{11^{-4} } = 11^{4}[/tex]
For the third one, you want to multiply the exponents (in these kinds of cases, you can multiply the exponent by the exponent)
So:
[tex](11^{-3} )^{-3} = 11^{9}[/tex]
Finally, the fourth one, you can simply just add the exponents:
[tex]11^{5} * 11^{2} = 11^{7}[/tex]
Then, just order them from least to greatest by their exponents value :)
add the integers (-14)+(-31)
Answer:
[tex]-45[/tex]
Step-by-step explanation:
add the negative numbers together, and the solution stays negative.
[tex](-14) + (-31) = -45[/tex]
evaluate the function for x=8 f(x)=x2/16-2x
Answer:
f = 8
Step-by-step explanation:
f(x) = x2/16 - 2x
f(8) = (8)2/16 - 2(8)
8f = 16/16 - 16
8f/8 = 16/8
f = 8
Write the system below in the matrix form by using matrix multiplication:
x − 2y + z = 7
2x − y + 4z = 17
3x − 2y + 2z = 14
Use the Virtual Dice Roller and roll two dice three times (or grab a pair of dice at home!).
Record the sum of the two dice for each virtual roll.
The first virtual roll is how many work shirts you have in your closet.
The second roll is how many pairs of work pants you have in your closet.
The third roll is how many pairs of work shoes you have in your closet.
Calculate and explain how many different ways can you dress every morning. Show all calculations.
The simulation of the virtual dice roller illustrates combination and sample space
There are 36 different ways you can dress every morning
How to determine the number of ways of dressing?The sample space of the two dice are:
Die 1 = {1,2,3,4,5,6}
Die 2 = {1,2,3,4,5,6}
From the above sample space, we have the sample size to be:
n(Die 1) = 6
n(Die 2) = 6
The sample size of the experiment would be:
n = n(Die 1) * n(Die 1)
Substitute known values
n = 6 * 6
Evaluate the product
n = 36
The above represents the different ways you can dress every morning.
Hence, there are 36 different ways you can dress every morning
Read more about sample space at:
https://brainly.com/question/10837034
CHERRY PIE A circular cherry pie has a radius of 6 inches. If the pie is cut into 8 congruent slices, what is
the area of one slice to the nearest hundredth?
6 in.
16.35 in?
14.14 in?
19.72 in2
17.13 in?
Can someone help me with this question?
Step-by-step explanation:
hope it helps, I have chegg and they seem to have more answers and a lot of topics. you can scan your books bar code and get end of chapter questions
Lily is $90\text{ cm}$ tall. If Anika is $\frac{4}{3}$ of the height of Lily, and Sadaf is $\frac{5}{4}$ of the height of Anika, how tall is Sadaf?
Answer:
your mom
u.w.u
lol
haha
study well
Use the long division method to find the result when 4x3 + 12x2 + 172 + 9 is
divided by x + 1.
Answer:
216
Step-by-step explanation:step 1
first you are going to multiply and add all of the things that need to be multipied and added
4x3=12
12x2=24
172+9= 181
^ 12+24+181= 217
second step: put 217 and x+1 in an equation
you cant divide a number with an x, so you have to put it in an equation and solve for x
x+1=217 ( subtract 1 to the other side of the = sigh. 217-1= 216)
x=216
find the average rate of change of over the interval (0,9 ]
Answer:
3. 10/9
4. 34
Step-by-step explanation:
The average rate of change of f(x) over the interval a ≤ x ≤ b is:
[tex]\sf \dfrac{f(b)-f(a)}{b-a}[/tex]
Problem 3
Given interval: 0 ≤ x ≤ 9
From inspection of the graph:
f(0) = -7f(9) = 3[tex]\sf average \ rate \ of \ change=\dfrac{f(9)-f(0)}{9-0}=\dfrac{3-(-7)}{9}=\dfrac{10}{9}[/tex]
Problem 4
Given:
function f(x) = x³ - 9xinterval: 1 ≤ x ≤ 6⇒ f(1) = (1)³ - 9(1) = -8
⇒ f(6) = (6)³ - 9(6) = 162
[tex]\sf average \ rate \ of \ change=\dfrac{f(6)-f(1)}{6-1}=\dfrac{162-(-8)}{5}=34[/tex]
What is the area of a triangle whose sides have length $\sqrt{70},$ $\sqrt{70},$ and $\sqrt{28}$?
Answer:
980
Step-by-step explanation:
[tex]A = \frac{H.B}{2} = \frac{28.70}{2} = 980[/tex]
Hope it helps!!!Brainliest pls!!!Answer:
21
Step-by-step explanation:
Eight subtracted from four times a number is 84. What is the number?
A) Translate the statement above into an equation that you can solve to answer this question. Do not solve it yet. Use
x
as your variable.
The equation is
B) Solve your equation in part [A] for
x
.
Answer:
x
=
Answer:
Hope the picture will help you
How are genetic engineering and artificial selection different? (in your own words)
Artificial selection picks previously existing qualities by breeding individuals with favourable traits, whereas genetic engineering affects the genetic composition of plants or animals by adding new genes or silencing genes.
GIVING BRAINLEST NO LINKS I ONLY CROWN RIGHT ANSWERS!
Select the expression that represents the following statement: The sum of 6 and 8 multiplied by 4.
Answ
Step-by-step explanation:
Lee watches TV for 4 hours per day. During that time, the TV consumes 150 watts per hour. Electricity costs (10 cents)/(1 kilowatt-hour). How much does Lee's TV cost to operate for a month of 30 days?
Step-by-step explanation:
1 kilowatt=1000 watt
tv watch time=4*30=120
the watt tv consume=120*150=18000
the kilowatt tv consume=18000/1000=18
electricity cost =10*18
180 cents
If EF || DG, and S and T are midpoints, then DG= ? Ef=13 ST=19
Answer: 25
Step-by-step explanation:
given determinant of a (a b c,d e f ,g h i) is -2 find determinant of ( g h i ,a b c ,d e f)
ANSWER:-
-2
Step-by-step explanation:
(abc, def, ghi) is -2
Find the equation that passes through the points (8,10) and (4,5). Give your results using function notation
Answer:
f(x) = 5/4x
Step-by-step explanation:
The equation of the line can be found using the 2-point form of the equation of a line:
y -y1 = (y2 -y1)/(x2 -x1)(x -x1)
This can be rearranged to the desired funtional form.
__
Using the given points (x1, y1) = (8, 10) and (x2, y2) = (4, 5), we have ...
y -10 = (5 -10)/(4 -8)(x -8)
y = (-5/-4)(x -8) +10 = (5/4)x . . . . . add 10 and simplify
The equation can be written ...
f(x) = 5/4x
A rule for creating a pattern is given below. The rule begins with a number called the input and creates a number called the output.
Rule: Multiply the input by 5. Then subtract 4 from the result to get the output.
Which input and output table works for the rule?
Choose 1 answer:
(Choice A)
Input: 5 Output: 5
(Choice B)
Input: 3 Output: 7
(Choice C)
Input: 2 Output: 6
Answer:
Choice C - Input: 2 Output: 6
Answer:
C
Step-by-step explanation:
evaluate the output for the given input values using the rule
choice A
5 × 5 - 4 = 25 - 4 = 21 ≠ 5
choice B
3 × 5 - 4 = 15 - 4 = 11 ≠ 7
choice C
2 × 5 - 4 = 10 - 4 = 6 ← equals the output value
What is the answer for B
Guys please help! i will mark brainliest to the right answers
Note: in order for me to mark a brainliest 2 people need to answer
Answer:
Step-by-step explanation:
c) To find slope, choose any two points.
(2,16) & (4 , 31)
[tex]\boxed{slope= \dfrac{y_2-y_1}{x_2-x_1}}[/tex]
[tex]\sf =\dfrac{31-16}{4-2}\\\\=\dfrac{15}{2}=7.5[/tex]
The slope is 7.5, which means that Kobby's puppy gained 7.5 pounds a month for the first 6 months.
a) Equation of line in slope -intercept form: y = mx +b
[tex]y =\dfrac{15}{2}x+b[/tex]
Now, substitute the point (2 ,16) in the above equaiton and find the y-intercept b.
[tex]\sf 16 =\dfrac{15}{2}*2+b\\\\16=15+b\\\\16-15=b[/tex]
b = 1
Equation of the line:
[tex]y=\dfrac{15}{2}x+1[/tex]
b) y-intercept = 1
The y-intercept is 1, which means that Kobby'spuppy weighed 1 pound at birth
Find the value of x. 50 degrees 75 degrees
Answer:
The angles measure for x is.... 58 Degrees
Step-by-step explanation:
Something you have to remember with dealing with Triangles is that the three angles will always add up to 180 degrees. so if you have two of the angle already then you can solve for the 3rd one all you have to do is...
add both of the known angles
50 + 75 = 125
Now subtract 180 by 125
180 -125 = 58
Now you have your answer
58 Degrees!!!
I need help. Work has to be shown but i don’t know how to do them
Step-by-step explanation:
1.
1% of 500 is 5 so multiply 5 by 8 for one year. which is 40 so multiply that by 2.
1% of 500 = 5
5 × 8 = 40
40 × 2 = 80
2.
1% of 1000 = 10
10 × 5 = 50
50 × 3 = 150
3.
12 months = 6%
6/12 = 1 month
0.5 = 1 month
0.5 × 9 = 4.5 (the amount of interest for 9 months.)
800 × 4.5% = 36
4.
12 months = 7%
7/12 = 1 month ( i'll leave this in fraction form because of the decimal points.)
7/12 x 8 = 4.666667 or 4.7 rounded.
1200 × 4.7% = 56.40
Find the distance between the two points in simplest radical form.
(8, 2) and (0, -3)
Answer:
√89
Step-by-step explanation:
Plug into Distance formula --> √(0-8)^2 + (-3-2)^2
---> √89
Solve (image attached)
Answer:
70 degrees
Step-by-step explanation:
We know that a straight line is 180 degrees so this equation can be used:
80 + x + 30 = 180
110 + x = 180
x = 70
Hope this helps :)
Alma reads 2 books each week Which number line best represents the number of weeks it
will take her to read at least 28 books?
Answer:
[C]
Step-by-step explanation:
To Find:
which number line represents the number of weeks it will take Alma to read at least 28 books.
Solve:
Create an inequality from the given information :
( 2x ≥ 28, where x represents the number of weeks)
Then divided both sides of the inequality by 2, resulting in x ≥ 14, or all values greater than or equal to 14.
Now, chosen the number line that shows all numbers greater than or equal to 14 (all the numbers to the right of 14 and including 14, which is indicated by a shaded circle).
Hence, [C} is the correct answer.
~Lenvy
damita uses the pythagorean theorem to write the equation 2k² = j² to represent the triangle shown. Is she correct? Explain.
Answer:
Yes, She is correct.
Step-by-step explanation:
Pythagorean theorem:
base² + altitude² = hypotenuse²
k² + k² = j²
Add the like terms. Like terms have same variable with same power.
2k² = j²
. A particle moves on a line away from its initial position so that after t seconds its distance is s = 3t^2+tmeters from its initial position. (a) At what time does the particle have a velocity of 25 m/s? (b) Is the acceleration ever 0? Why or why/not? Explain your answer
pls solve and explain fast
Answer:
The velocity of this particle is [tex]25\; {\rm m \cdot s^{-1}}[/tex] at [tex]t = 4\; {\rm s}[/tex].
Acceleration is constantly [tex]6\; {\rm m\cdot s^{-2}}[/tex] (and thus is never [tex]0[/tex].)
Step-by-step explanation:
The distance between the particle and the initial position is the displacement of this particle. Let [tex]x(t)[/tex] denote the displacement (in meters) of this particle at time [tex]t[/tex] (in seconds.) The question states that [tex]x(t) = 3\, t^{2} + t[/tex].
Differentiate displacement [tex]x(t)[/tex] with respect to time [tex]t[/tex] to find the velocity [tex]v(t)[/tex] (in [tex]{\rm m \cdot s^{-1}}[/tex]) of this particle:
[tex]\begin{aligned}v(t) &= \frac{d}{d t}\left[x(t)\right] \\ &= \frac{d}{d t}\left[3\, t^{2} + t\right] \\ &= 6\, t + 1 \end{aligned}[/tex].
Set velocity to [tex]25\; {\rm m\cdot s^{-1}}[/tex] and solve for time [tex]t[/tex] (in seconds):
[tex]v(t) = 25[/tex].
[tex]6\, t + 1 = 25[/tex].
[tex]t = 4[/tex].
Thus, the velocity of this particle is [tex]25\; {\rm m \cdot s^{-1}}[/tex] at [tex]t = 4\; {\rm s}[/tex].
Differentiate velocity [tex]v(t)[/tex] with respect to time [tex]t[/tex] to find the acceleration (in [tex]{\rm m\cdot s^{-2}}[/tex]) of this particle:
[tex]\begin{aligned}a(t) &= \frac{d}{d t}\left[v(t)\right] \\ &= \frac{d}{d t}\left[6\, t + 1\right] \\ &= 6\end{aligned}[/tex].
In other words, the acceleration of this particle is constantly equal to [tex]6\; {\rm m\cdot s^{-2}}[/tex]. Hence, the acceleration of this particle is never [tex]0[/tex].
Una ayuda porfavor, lo necesito urgente, es algebra
Answer:
yes
Step-by-step explanation:
yessir I was at the game was going to the game was going to the game was good to go to the game was going to the game
A home builder needs to cover the rectangular floor of a closet with a carpet the closet is 2 yards long and 2/3 of a yard wide how much carpet will the home builder need to cover the closet?
Your Answer is 4 Yards
Step-by-step explanation:
2/3 yards is 2 feet
2 yards is 6 feet
2 times 6 feet is 12 foot e.g. (2 x 6 = 12)
12 feet is 4 yards.
Formula (L x W = A)
L = length
W = Width
A = Area
Hope this helps! Please let me know if you need more help or think my answer is incorrect. Brainliest would be MUCH appreciated. Have a wonderful day!
find the total area of cardboard used in making a matchbox, complete with the sliding portion, 4cm long, 2.5cm wide, and 1.2cm deep (ignore the thickness of the cardboard)
Answer: 55.2 cm^2
Step-by-step explanation:
2(4x2.5 + 2.5x1.2 + 1.2x4) = 35.6 cm^2
(2x1.2x4 + 4x2.5) = 19.6 cm^2
(35.6 + 19.6) = 55.2 cm^2