Answer:
The exponent of the simplified power is 3
Step-by-step explanation:
Given:
6 × 6 × 6 × 6 × 6 × 6 × 6 / 6 × 6 × 6 × 6
Dividing common factors ( cancel out 4 6's in the Numerator and Denominator
= 6 × 6 × 6 / 1
= 6^3 /1
= 6^3
The exponent of the simplified power is 3
Answer:
The exponent of the simplified power is 3
Step-by-step explanation:
My sister gave me $12 for my birthday. I now have 3 times as much as I did before. How much money did I have originally?
Answer:
36 is the answer
which function has zeros of -8,1 and 3?
Answer:
A. y = (x - 3)(x + 8)(x - 1)
Step-by-step explanation:
To find zeros of a polynomial, we set the polynomial equal to zero.
We can eliminate C and D; as we set them equal to 0, we see that a root would be 0 due to x. Since we are not looking for a root of 0, those 2 answer choices are incorrect.
Between A and B, A is correct:
A
0 = (x - 3)(x + 8)(x - 1)
x = -8, 1, 3
B
0 = (x + 1)(x - 8)(x + 3)
x = -3, -1, 8
Answer:
Answer A is the correct one.
Step-by-step explanation:
Which function has zeros of -8,1 and 3? We convert each of these zeros into factors, as follows: (x + 8), (x - 1), (x - 3). Answer A is the correct one.
Describe the Squeeze Theorem as simply as possible.
Hey there,
The squeeze theorem shows if [tex]f(x)\leq g(x)\leq h(x)[/tex] for all real numbers [tex](-\infty,~\infty)[/tex] then f(x) = h(x) but g(x) has to equal that as well.
Let's say we have [ [tex]\lim_{n \to \infty} (\frac{cos~x}{x})[/tex] ]
~Apply the theorem
Note that [ [tex]-1 \leq cos~x \leq 1[/tex] ] and [ [tex]\lim_{n \to \infty} (-\frac{1}{x})\leq \lim_{n \to \infty} (\frac{cos~x}{x})\leq \lim_{n \to \infty} (\frac{1}{x})[/tex] ]
~Apply the infinity property to every side but the middle
[tex]\lim_{n \to \infty} (-\frac{1}{x}) = 0[/tex]
[tex]\lim_{n \to \infty} (\frac{1}{x}) = 0[/tex]
So... [tex]\lim_{n \to \infty} (\frac{cos~x}{x})=0[/tex]
Best of Luck!
The solution of 12x+12=8x is?
Answer:
x = - 3
Step-by-step explanation:
Solve by isolating x on one side of the equation.
12x+12=8x
-12 -12
12x=8x-12
-8x
4x=-12
4x/4=-12/4
x = - 3
Given that f(x)=x-3 and g(x)=x^2-x, find (f+g)(-2)
Answer:
(f + g)(- 2) = 1
Step-by-step explanation:
(f + g)(x) = f(x) + g(x) , thus
f(x) + g(x)
= x - 3 + x² - x
= x² - 3
Thus
(f + g)(- 2) = (- 2)² - 3 = 4 - 3 = 1
The mass of a teapot and 4 cups is 1,280 grams. The mass of the same teapot and 10 cups is 2,720 grams. Each cup has the same mass. What is the mass of the teapot?
Answer: 320 grams
Step-by-step explanation:
Let the mas of the teapot be denoted by a
Let the mass of the cups be denoted by c
The question can be turned into an equation which will be:
a + 4c = 1280 ......... equation i
a + 10c = 2720 ........ equation ii
Subtract equation i from ii
6c = 1440
c = 1440/6
c = 240 grams
The mas of the cup is 240 grams
From equation i
a + 4c = 1280
a + 4(240) = 1280
a + 960 = 1280
a = 1280 - 960
a = 320 grams
The mass of the teapot is 320 grams
A muffin recipe uses 334 cups of flour for every 12 cup of milk. Which proportions could you use to solve for the cups of milk needed for 513 cups of flour?
Answer:
14278.5 cups of flour needed
Step-by-step explanation:
Given the median, how do you find x on a triangle?
If CD = AB and AB = 8, then CD = 8
Answer:
sure
Step-by-step explanation:
write a real world problem that can be solved using the distributive property
Answer:
10 + 2. 3(10 + 2) = ? something like that I think .
Step-by-step explanation:
What should you add to this problem?
(2x^3 + 5x^2 + 9) / (x + 3)
A) 0x^4
B) 0x^2
C) 0x^3
D) 0x
Nes and m are intersected by transversal t. ∥ m. Lines l and m are horizontal with l above m and intersected by transveral t. Angles 1, 2, 3, and 4 are formed where t intersects l with 1 and 3 above l from left to right and 2 and 4 below it. Angles 5, 6, 7, and 8 are formed where t intersects m with angles 5 and 7 above line m from left to right and 6 and 8 below it. Select all the angles that are supplementary to ∠4.
Answer:
The supplementary angles to ∠4 are;
∠3, ∠2, ∠7, ∠6, and ∠5
Step-by-step explanation:
The given information are;
The angular orientation of lines l and m = horizontal lines
Therefore l and m are parallel lines
The transversal line to lines l and m = Line t
Therefore, we have;
Angles between line t and line l = 1, 2, 3, and 4
The order of arrangement of the angles between line t and line l are from top left in a clockwise order;
1, 3, 4, and 2
Similarly, the order of arrangement of the the angles between the transversal t and the line m are from top left in a clockwise order;
5, 7, 8, and 6
Therefore, we have;
The supplementary angles to ∠4 are;
∠3, ∠2, ∠7, ∠6, and ∠5
∠3 and ∠4, ∠4, and ∠2, angles on a straight line between lines l and t
∠4 and ∠7 are opposite interior angles (Opposite interior angles are supplementary)
∠7 ≅ ∠6, ∠7 and ∠6 are alternate angles (
∠7 = ∠6 Definition of congruency
∴ ∠4 and ∠6 are supplementary (Transitive property)
∠4 and ∠5 are alternate interior angles (Alternate interior angles are supplementary).
i need help answering the questions using distributive property. i already know the answers 3. will give brainliest.
Answer:
Hello
Step-by-step explanation:
by what i understood the awnser should be c
7/11 ÷ 21/55 pls help me
9514 1404 393
Answer:
5/3
Step-by-step explanation:
You can divide fractions a couple of ways:
1. Invert the denominator and multiply
[tex]\dfrac{7}{11}\div\dfrac{21}{55}=\dfrac{7}{11}\times\dfrac{55}{21}=\dfrac{55\cdot7}{11\cdot21}=\boxed{\dfrac{5}{3}}[/tex]
2. Make both fractions have the same denominator and use the ratio of their numerators
[tex]\dfrac{7}{11}\div\dfrac{21}{55}=\dfrac{35}{55}\div\dfrac{21}{55}=\dfrac{35}{21}=\boxed{\dfrac{5}{3}}[/tex]
Frank reverses The older pairs show the height and ages of the same six tenants is age of function or high explain
7(y-2)=7y-14 I’m kinda confused
Answer:
Infinitely many solutions
Step-by-step explanation:
Equation:
7(y-2)= 7y - 14
1. Simplify each side
7y - 14 = 7y - 14
Infinitely many solutions
Which one is the bigger number 3.5F or 5F.
Answer: 5F is the bigger one, because a whole number is bigger than the decimal
Answer: 5F is the answer.
Step-by-step explanation:
Drew pls mark me brainiest!!!
Find the percent of change
if the price of a $10 game is
marked up to $15.
Answer:
50%
Step-by-step explanation:
10 divided by 2 is 5. 5 is 50% of 10, and if you add 5 to 10, you get 15.
I need help ASAP !!!!!
Answer:
a is 12, p is 9.
Step-by-step explanation:
No matter what letters or numbers you use you have to come out with the exact number that sums up with the queston provided which means you have to come out with the sum 21 either way, no matter what letters, numbers youu use.
Facts:
can someone PLEASE help me on this PLEASE.
The given table of values represents a linear equation. What is the slope?
Answer:
2
Step-by-step explanation:
slope=∆y/∆x
slope=(9-7)÷(3-2)
slope= 2.
luke paid 30 percent less for a used car than its original price of $3,500. how much did luke pay for the car?
Answer:
Im not sure ok
Step-by-step explanation:
Im trying to solve too
Answer:
2450
Step-by-step explanation:
30% of 3500
30÷100×3500
=30×35
=1050
3500-1050
=2450
y’all tryna help me :/
Answer:
4.12
Step-by-step explanation:
a^2 + b^2 = c^2
a^2 + 8^2 = 9^2
a^2 + 64 = 81
-64 -64
a^2 = 17
square root of 17 = 4.12310
round to the nearest hundredth 4.12
The given measurement of a surface Area of a sphere is 196π.Find it's radius
(thanks in advance)
Answer:
Hope this solution helps you. Sorry for the handwriting .
The fees for a biochemistry major are $1,728. To major in biochemistry, Toby requires 144 credit hours of coursework. How can he calculate the cost of the fees per credit hour? What is the cost of the fees per credit hour?
9514 1404 393
Answer:
divide fees by hours$12 per credit hourStep-by-step explanation:
To find fees per hour, divide fees by hours.
$1728/(144 h) = $12/h
Toby's cost is $12 per credit hour.
The temperature fell from 0Degrees Fahrenheit to 6 and three-fifthsDegrees Fahrenheit below 0Degrees Fahrenheit in 2 and one-fifth hours. What was the temperature change per hour? -3 Negative 4 and two-fifths 3 4 and two-fifths
Answer:
the answer is A i think
Step-by-step explanation:
Answer:
your answer is
A. -3
good luck (:
Ambrose and Kaitlin are volunteering at a food bank. They both start at the same time. Kaitlin takes 13 minutes to pack a box with donated food. Ambrose takes 7 minutes to pack a box. After how many minutes will they finish packing boxes at the same time?
Answer:
They will finish packing boxes at the same time after 91 minutes.
Step-by-step explanation:
From the question,
Kaitlin takes 13 minutes to pack a box while Ambrose takes 7 minutes to pack a box. That is,
Kaitlin will finish packing a box after every 13 minutes and Ambrose will finish packing a box after every 7 minutes.
To determine when they will finish packing boxes at the same time, we will list the times they will finish packing boxes
For Kaitlin, she will finish packing box(es) at the following times:
13th minute, 26th minute, 39th minute, 52nd minute, 65th minute, 78th minute, 91st minute, 104th minute etc.
For Ambrose, he will finish packing box(es) at the following times:
7th minute, 14th minute, 21st minute, 28th minute, 35th minute, 42nd minute, 49th minute, 56th minute, 63rd minute, 70th minute, 77th minute, 84th minute, 91st minute, 98th minute, 105th minute etc.
From above, we can observe that, Ambrose and Kaitlin will finish packing boxes at the 91st minute.
Hence, They will finish packing boxes at the same time after 91 minutes.
Two angles are supplementary. One angle measures 26° Find the measure of the other angle.
A telephone number has the form NXX-ABC-XXXX. Today N is 2-9, and X is 0-9. However, there are exceptions as 37X and 96X are reserved for future use. Additionally N9X is reserved for expanding the total numbers at a later date. Finally, N11 is reserved for service numbers. How many total area codes are currently available given this information?
Answer:
The total area codes that are currently available is 692.
Step-by-step explanation:
The area code is of the form: NXX.
The variable N can take values,
N = {2, 3, 4, 5, 7, 8 and 9}
The variable X can take values,
X = {0, 1, 2, 3, 4, 5, 7, 8 and 9}
Considering that repetitions are allowed.
The total possible number of area codes is:
T = 8 × 10 × 10 = 800
So, there are 800 possible area codes.
The exception codes are:
{37X, 96X, N9X and N11}
There are 10 possible combinations for 37X.There are 10 possible combinations for 96X.There are 80 possible combinations for N9X.There are 8 possible combinations for N11.So, the number of reserved area codes is, 10 + 10 + 80 + 8 = 108.
Then the area codes that are currently available is, 800 - 108 = 692
Thus, the total area codes that are currently available is 692.
Four friends get the lunch special at a restaurant and leave a $3 tip. The total amount paid was $26.00. How much does the lunch special cost?
Answer:
23 dollars
Step-by-step explanation:
26 is the total with tax, so subtract the tax to get the lunch by itself
Answer:
it's 5.75
Step-by-step explanation:
first i subtracted 3$ from 26.00 and got 23.00 then i divide 23.00 by 4 and got 5.75 so that's what they payed
Write a slope intercept equation for line with the given characteristics m=-3/5 passes through (4,-4)
Step-by-step explanation:
Hey there!
Given;
Slope (m) = -3/5
And passes through the point(4,-4).
Now; The equation of a line in slope intercept form is y= mx+b.
So, try to bring it in y= mx+b form.
Firstly let's use one-point formula.
[tex](y - y1) = m(x - x1)[/tex]
Now, keep all values.
[tex](y + 4) = \frac{ - 3}{5} (x - 4)[/tex]
Now, simplify to get answer.
[tex]5(y + 4) = - 3(x - 4)[/tex]
[tex]5y + 20 = - 3x + 12[/tex]
[tex]5y = - 3x + 12 - 20[/tex]
[tex]5y = - 3x - 8[/tex]
[tex]y = \frac{ - 3}{5} x - \frac{8}{5} [/tex]
Therefore the equation is y = -3/5x - 8/5.
Hope it helps...