Answer:
[tex]\Large \text{$ \frac{1}{w^2} $}[/tex]
Step-by-step explanation:
Given the exponential expression, [tex]\displaytext\mathsf{w^3\:\times\:w^{-5}}[/tex], where it involves the multiplication of the same base, w, with varying powers.
Using the Product Rule of Exponents, where it states that, [tex]\displaystyle\mathsf{a^{m}\:\times\:a^{n}\:=\:a^{(m\:+\:n)}}[/tex].
Hence, we simply need to add the exponents:
[tex]\displaytext\mathsf{w^3\:\times\:w^{-5}\:=\:w\:^{[3\:+\:(-5)]}\:=\:w^{-2}}[/tex]
Next, apply the Negative Exponent Rule, where it states that: [tex]\displaystyle\mathsf{a^{-n}\:=\:\frac{1}{a^n}}[/tex].
Transforming the negative exponent of [tex]\displaytext\mathsf{w^{-2}}[/tex] becomes a positive exponent by using the Negative Exponent Rule.
[tex]\displaytext\mathsf{w^{-2}\:=\:\frac{1}{w^2}}[/tex]
The degree of polynomial is ?
-8/9 - (2 1/3)
show all your work
Answer:
1 8/9 - 1 2/3 = 2/
9
≅ 0.2222222
Step-by-step explanation:
How do you solve fractions step by step?
Conversion a mixed number 1 8/
9
to a improper fraction: 1 8/9 = 1 8/
9
= 1 · 9 + 8/
9
= 9 + 8/
9
= 17/
9
To find a new numerator:
a) Multiply the whole number 1 by the denominator 9. Whole number 1 equally 1 * 9/
9
= 9/
9
b) Add the answer from previous step 9 to the numerator 8. New numerator is 9 + 8 = 17
c) Write a previous answer (new numerator 17) over the denominator 9.
One and eight ninths is seventeen ninths
Conversion a mixed number 1 2/
3
to a improper fraction: 1 2/3 = 1 2/
3
= 1 · 3 + 2/
3
= 3 + 2/
3
= 5/
3
To find a new numerator:
a) Multiply the whole number 1 by the denominator 3. Whole number 1 equally 1 * 3/
3
= 3/
3
b) Add the answer from previous step 3 to the numerator 2. New numerator is 3 + 2 = 5
c) Write a previous answer (new numerator 5) over the denominator 3.
One and two thirds is five thirds
Subtract: 17/
9
- 5/
3
= 17/
9
- 5 · 3/
3 · 3
= 17/
9
- 15/
9
= 17 - 15/
9
= 2/
9
For adding, subtracting, and comparing fractions, it is suitable to adjust both fractions to a common (equal, identical) denominator. The common denominator you can calculate as the least common multiple of both denominators - LCM(9, 3) = 9. In practice, it is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 9 × 3 = 27. In the following intermediate step, it cannot further simplify the fraction result by canceling.
In other words - seventeen ninths minus five thirds = two ninths
4.99 for 13lb find the unit rate
Answer:
$0.38 per lb.
Step-by-step explanation:
unit rate formula; cost / quantity
4.99 / 13 = 0.3838461538461
round to the nearest hundredth
what is 29,032 to the nearest thousands
Answer:
29,000
Step-by-step explanation:
Answer:
30,000 i believe
Step-by-step explanation:
if that isnt the right answer then its just 29,000
someone please help me asap
Answer:
I only can see that one of them are B i don't know for the rest
Step-by-step explanation:
Elizabeth invested $970 in an account paying an interest rate of 6\tfrac{5}{8}6 8 5 % compounded daily. Matthew invested $970 in an account paying an interest rate of 6\tfrac{3}{4}6 4 3 % compounded continuously. After 8 years, how much more money would Matthew have in his account than Elizabeth, to the nearest dollar?
Using continuous compounding and compound interest, it is found that Matthew would have $17 more than Elizabeth in his account.
Compound interest:
[tex]A(t) = P\left(1 + \frac{r}{n}\right)^{nt}[/tex]
Continuous compounding:
[tex]A(t) = Pe^{rt}[/tex]
The parameters are:
A(t) is the amount of money after t years. P is the principal(the initial sum of money). r is the interest rate(as a decimal value). n is the number of times that interest is compounded per year. t is the time in years for which the money is invested or borrowed.For both of them:
Investment of $970, hence [tex]P = 970[/tex]Invested for 8 years, hence [tex]t = 8[/tex]Elizabeth:
Compounded daily, hence [tex]n = 365[/tex].Rate, as a percent, of [tex]6\frac{5}{8} = 6 + \frac{5}{8} = 6.625[/tex], hence [tex]r = 0.06625[/tex].Then:
[tex]A(t) = P\left(1 + \frac{r}{n}\right)^{nt}[/tex]
[tex]A(8) = 970\left(1 + \frac{0.06625}{365}\right)^{365(8)}[/tex]
[tex]A(8) = 1648[/tex]
Matthew:
Rate, as a percent, of [tex]6\frac{3}{4} = 6 + \frac{3}{4} = 6.75[/tex], hence [tex]r = 0.0675[/tex].Then:
[tex]A(t) = Pe^{rt}[/tex]
[tex]A(8) = 970e^{0.0675(8)}[/tex]
[tex]A(8) = 1665[/tex]
The difference is:
1665 - 1648 = 17
Hence, Matthew would have $17 more than Elizabeth in his account.
A similar problem is given at https://brainly.com/question/24507395
Can someone help me please
Answer:
A
Step-by-step explanation:
4×-12
Answer is letter A
hope it help^^
Help me I really don’t understand this and I can’t fail please just please help I will mark brainliest
Answer:this question is confusing but it's probably the last one, must be the one passing through
x=1
y=-1
Write the equation of a line that
passes through the following points
:
Point 2: (0,-8)
Point 1: (-3,0)
Answer:
[tex]y = \frac{-8}{3}x - 8[/tex]
Step-by-step explanation:
Solving for the equation of the line with two points:
Let's remind ourself of the slope - intercept formula: [tex]y = mx + b[/tex]
We first have to find the slope of the line. This is found by using the formula :
[tex]\frac{y_1 - y_2}{x_1 - x_2}[/tex]
We have to find the change in y (Δy) and divide it by the change in x (Δx)
We then have to plug in a coordinate given to us, and use the point's x and y value to find the y - intercept
Step 1: SlopeLet's use the slope formula
[tex]\frac{0 - (-8)}{-3 - 0} = \frac{8}{-3}[/tex]
Slope = -8/3
Step 2: Y - InterceptTo find the y - intercept, we'll update our slope - intercept formula with the slope, and plugin a point. Let's use (-3,0)
[tex]y = \frac{-8}{3}x + b[/tex]
[tex]0 = \frac{-8}{3}(-3) + b[/tex]
[tex]0 = \frac{24}{3} + b[/tex]
[tex]0 = 8 + b[/tex]
[tex]b = -8[/tex]
Step 3: EquationLet's input our slope and y - intercept to the equation [tex]y = mx + b[/tex]
Slope = -8/3
Y - Intercept = -8
Equation: [tex]y = \frac{-8}{3}x - 8[/tex]
-Chetan K
Help! I don't know if this is correct.
Answer:
alternate interior angles, alternate exterior angles, CORRESPONDING angles, VERTICAL angles
Step-by-step explanation:
The first two are correct but you mixed up the last two.
Corresponding angles have to be on parallel lines.
Vertical angles are opposite angles created by an intersecting line.
Hope this helps!!!
write a linear function
Answer:
The equation of a linear function is expressed as: y = mx + b where m is the slope of the line or how steep it is, b represents the y-intercept or where the graph crosses the y-axis and x and y represent points on the graph.
Step-by-step explanation:
14. Find m
(9x + 2)
(15x -52)
Step-by-step explanation:
triangle BCD ~ triangle EFD so
angle BCD= angle EFD
9x+2=15x-52
6x=54
x=9
angle CBF =9x+2=83°
In the triangle ΔCBD, the angle measure of ∠CBF is 83°.
What are similar triangles?When the triangles have equal shape, but different sizes. It is called as similar triangles. The corresponding angles are congruent. And the sizes have the same proportionality rate.
Given:
The angle measures,
∠CBD = (9x + 2)°
∠EFD = (15x -52)°
From the diagram,
ΔCBD is similar to ΔEFD.
So, the corresponding angles are equal.
∠CBD = ∠EFD
(9x + 2)° = (15x -52)°
15x - 9x = 52 + 2
6x = 54
x = 9°
And ∠CBF = ∠CBD
So, ∠CBF = (9x + 2)°
Substituting the value of x,
∠CBF = (9(9) + 2)°
∠CBF = 83°
Therefore, the angle measure of ∠CBF is 83°.
To learn more about the similar triangles;
https://brainly.com/question/14926756
#SPJ2
Tell whether the sequence is arithmetic. If it is, identify the common difference.
1/2,1/3,1/4, ….
1) Not arithmetic
2) Arithmetic, common difference is 1/6
3) Arithmetic, common difference is 2/3
4) Arithmetic, common difference is 1
Answer:
Not arithmetic
Step-by-step explanation:
the difference of successive terms in arithmetic sequences should be the same. notice that:
1/3-1/2 =/= 1/3 - 1/4
so it's not arithmetic.
this sequence is known as the harmonic sequence, and its sum diverges.
the rate of change is _____ inches of growth per week
Answer:
4.5 inches per week
Step-by-step explanation:
Easy conversions
the highest elevation in north america is denali,in alaska ,with an elevation of 20,320 feet above sealevel. the lowest elevation in california, with an elevation of 282 feet below sea level. what is the differce in the highest and lowest elevations in morth american?
Answer:
Step-by-step explanation:
The highest point in North America, Mount McKinley, in the Alaska Range, is 20,320 feet above sea level. The lowest point m North America is 282 feet below sea level and is in Death Valley in California. Which student correctly calculated the difference in elevations? Explain the error.
\begin{matrix} \text{Student A} & \text{Student B}\\ \text{20,320 - 282} & \text{20,320 - ( -282)}\\ \text{20,320 + (-282)} & \text{20,320 + ( + 282)}\\ \text{20,038 feet} & \text{20,602 feet}\\ \end{matrix}
Student A
20,320 - 282
20,320 + (-282)
20,038 feet
Student B
20,320 - ( -282)
20,320 + ( + 282)
20,602 feet
Miko filled two tanks with water. The ratio of the amount of water in Tank A to Tank B is 3 : 2. The total amount of water in both tanks is 210 ℓ. How much water must Miko pour from Tank A into Tank B so that both tanks have the same amount of water?
Step-by-step explanation:
answer is in the above picture
Lee earns $17.00 per hour at her job. How much money will Lee earn if she works for 4 hours?
emma makes 21 laps during a 5 minute song how many laps per minute did emma make how do I show my work?
Answer:
4.2 laps per minute
Step-by-step explanation:
21laps/5min = 4.2laps/1min
after working out for 45 minutes, Juanita heartbeat at 75 beats in 30 seconds what equation represent the relatship of b and m
Answer:
abcdefghijklmnopqrstuvwxyz
Line A is represented by the following equation: x + y = 2
What is most likely the equation for line B so the set of equations has no solution?
Answer:
[tex]ax+ay=k; a\ne0, k\ne2a[/tex]; line D in the options.
Step-by-step explanation:
The set of equations has no solutions if the two lines are parallel. A quick way to create a parallel line is to solve for y, put it in slope-intercept form. Else, as long as the cofficient of x and y are in the same ratio (in this case 1:1), the two lines are parallel, you just have to be careful not to pick the same line again!
The condition [tex]a\ne 0[/tex] makes sure you are still getting lines (else you would get rid of both x and y); the condition [tex]k\ne 2a[/tex] makes sure you're not picking line A again, just written in a different form.
Now that we have the options:
A and C have a different ratio for the coefficient of x and y (2:1 and 1:2) so are not good.
Choice B is just a more complicated way to write the same line, you can see by dividing both sides by 2 and get back x+y=2.
Line D is correct.
Marking Brainlest! 20pts. Thanks
The scatter plot shows the relationship between the average number of nightly customers and the number of months since a restaurant opened. The equation represents the linear model for this data.
y = 5x + 120
What does the number 5 in the equation mean in this context?
A. There were 5 customers per night when the restaurant opened.
B. The average number of customers per night decreased by 5 each month.
C. The restaurant has been open for 5 months.
D. The average number of customers per night increased by 5 each month.
Answer:
the answer is C trust me by
Ten times the sum of a number and 12 is 84.
Answer:
12×10 = 120
NOT 84
THE ANSWER IS 120
find 3 1/6 + (-4 1/3).
Answer:
-1 1/6
Step-by-step explanation:
[tex]3\frac{1}{6} + (-4\frac{1}{3} )[/tex]
Convert the mixed numbers into improper fractions
[tex]\frac{19}{6} + (-\frac{13}{3} )[/tex]
Apply the rule: a + (-b) = a - b
[tex]\frac{19}{6} + (-\frac{13}{3} ) = \frac{19}{6} - \frac{13}{3}[/tex]
The Least Common Multiplier of 6 and 3 is 6
Adjust the fractions on the LCM
[tex]\frac{19}{6} - \frac{26}{3}[/tex]
Apply the Fraction Rule: [tex]\frac{a}{c} -\frac{b}{c} = \frac{a - b}{c}[/tex]
[tex]\frac{19 - 26}{6}[/tex]
Subtract the numbers
[tex]\frac{-7}{6}[/tex]
Apply the Fraction Rule: [tex]\frac{-a}{b} = - \frac{a}{b}[/tex]
[tex]-\frac{7}{6}[/tex]
Convert improper fraction into a mixed number
[tex]-1\frac{1}{6}[/tex]
Hope this Helps :)
.15 x (-0.6)
help me please
The answer is −0.09
It should be simple multiplication.
I hope this helps!
four more than the price ,p
the choices for the first one is either x values or y-values
Answer:
x values
division
Step-by-step explanation:
Vertical lines are all "rise" and no "run"
therefor the difference in x values is always 0
division by 0 is undefined
Answer: y- values
Step-by-step explanation:
Your Fourthknight team is holding a fundraiser. The list shows all expenses for the fundraiser.
- A tablet that costs $250
- Soccer tickets that cost $150
- Gift cards totaling $425
- The cost of catering is $875
The members of the team will sell tickets at the fundraiser. The ticket cost is set so that 68 tickets will pay for the cost of prizes and food.
How much does each ticket cost?
Model the profit for the fundraiser using an equation:
Answer:
25
Step-by-step explanation:
Because when you add all the cost and divide by the amount of tickets you get 25
Please help me with this question
I can't figure it out and please answer all of it
Step-by-step explanation:
1. False
2. True
3. True
4. False
Answer:
a. false
b. true
c. true
d. false
Step-by-step explanation:
hope this is right
(if not tell me in the comments and i will try to help you best i can)
(25)2 × 100 ÷ 23 + [24 ÷ (13 – 5)] = 14
Answer:
This Inequality has no solution making it false.
Step-by-step explanation:
(25)2 × 100 ÷ 23 + [24 ÷ (13 – 5)] = 14
5,069=322
False
Hope this helps :)
Answer:
Step-by-step explanation:
Can someone pls help me
Solve for x
Please show your work
Answer:
Hence, the value of x is 9°
Step-by-step explanation:
7x + 14 = 9x - 4. [(Corres. ∠s]
⇛ 7x - 9x = -4 - 14
⇛-2x = -18
⇛x = -18÷-2
⇛x = 18/2
∴ x = 9
NOW,
7X + 14 = 7(9) + 14 = 63 + 14 = 77°.9X-4 = 9(9) - 4 = 81 - 4 = 78°.Read more:
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