what have you observed from the exponents
Answers
Answer:
We have observed from the exponents is described below in detail.
Step-by-step explanation:
Exponents can be a negative whole number, positive whole number, negative fraction, and positive fraction.
The zero exponent command is one of the commands that will support you clarify exponents... and it is a measure describing the power to which a given quantity or appearance to be proposed symbol alongside the quantity or appearance EXAMPLE: 2³=2x2x2
Related Questions
Find the value of K when K = 5n^2 + w. when n = 4 and w = -6.
Answers
Answer:
\(\bold{K = 5n {}^{2} + w} \)
Given ,
value of n = 4
value of w = - 6
Then ,
\(\bold{K = 5(4) {}^{2} + ( - 6)} \\\bold{ K = 5(16) - 6} \\\bold{ K = 80 - 6} \\ \fbox\pink{K = 74}\)
hope helpful~
Answer:
Value of k is 74Step-by-step explanation:
Here we have been provided with the values of n and w that is 4 and -6 respectively.
Equation that we have,
k = 5n² + wSubstituting the values of n and w in the equation,
\( \implies \: \sf{k \: = \: 5(4) {}^{2} \: + \: ( - 6)}\)
\(\implies \: \sf{k \: = \: 5(4 \times 4) \: + \: ( - 6)}\)
\( \implies \: \sf{k \: = \: 5 \: (16) \: + \: ( - 6)}\)
Multiplying 16 by 5,
\(\implies \: \sf{k \: = \: 5 \: \times 16 \: + \: ( - 6)}\)
\(\implies \: \sf{k \: = \: 80 \: + \: ( - 6)}\)
\(\implies \: \sf{k \: = \: 80 \: - \:6)}\)
Subtracting 6 from 80,
\(\implies \: \red{\bf{k \: = \: 74}}\)
Therefore, value of k is 74..!!
Please help me !! I need help asap
Answers
In given fractions 8/9 is 1/36 large than 31/36
Comparing Fractions:Finding the larger and smallest fraction in between two or more fractions is known as comparing fractions.
We need to change fractions with unlike denominators into fractions with similar denominators in order to compare them. For this, we will find the denominators' Least Common Multiple (LCM).
If the denominators are the same then it is easy to compare the fractions.
Here we have
31/36 and 8/9
To find the largest fraction convert both denominators into the same
Here LCM(36, 9) = 36
Now multiply both numerator and denominators of fractions with a number to change the denominators
=> \(\frac{31}{36} \times \frac{1}{1} = \frac{31}{36}\)
=> \(\frac{8}{9} \times \frac{4}{4} = \frac{32}{36}\)
From the above calculations given fractions are 31/36 and 32/36
Difference = \(\frac{32}{36} - \frac{31}{36} = \frac{1}{36}\)
Therefore,
In given fractions 8/9 is 1/36 large than 31/36
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24°
Solve for c.
= [?]°
C =
60% C
Enter
![24Solve for c.= [?]C =60% CEnter](https://i5t5.c14.e2-1.dev/h-images-qa/contents/attachments/18LkggivbR7cp80IPjukTXssaWPx5XaX.png)
Answers
Answer:
96°
Step-by-step explanation:
You want the value of angle C in the diagram with two parallel lines and a triangle between them.
Angle sum theoremThe sum of angles in a triangle is 180°, so the missing angle in the triangle is ...
180° -60° -24° = 96°
Alternate interior anglesAngle C and the one we just found are alternate interior angles with respect to the parallel lines and the transversal that forms those angles. As such, they are congruent:
C = 96°
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Please? I really need this answer if you can
Answers
Third answer 2 7/8
what is the slope intercept form of y-125=6(x-10)
Answers
y=6x+65
Hopefully this helps
Complete the blanks:
Horizontal lines have _____
slope and vertical lines have slope.
Horizontal lines have _______ equations that say __= any number.
Vertical lines have equations that say __= any number.
Answers
Answer:
Horizontal lines have __zero___
slope and vertical lines have undefined slope.
Horizontal lines have ___linear____ equations that say _y_= any number.
Vertical lines have equations that say _x_= any number.
Answer:
To write the equation of a horizontal line, we only need to specify where it intersects with the y-axis. This will look like y=k, where k is where the line crosses the y-axis.
The equation of a vertical line always takes the form x = k, where k is any number and k is also the x-intercept .
Step-by-step explanation:
Mark me brainliest plzzzzzzzzzzzzzzzzzzzzzz
BRAINLIEST!!!
YOU HAVE 5 MINUTES!!!!
Design an easy do-it-yourself compost bin that can be put (exnfe ffpao)
together at home. You can describe it, draw and label it, or both!
Include the following in your design:
• drawing or description of design
• materials used for the bin
• size of the bin
• substances used to fill it
• household items that can go in it
• how long it takes before it is ready
• how you use the compost
2)
Compost bin design: Add these household items to
your compost bin:
Compost is ready to use in this
much time:
Use your compost this way:
Answers
Designing an easy do-it-yourself compost bin:
Drawing and Description:
The compost bin can be a simple structure made of wood or wire mesh. It consists of four sides, a bottom, and a removable lid. The sides and bottom are connected securely to form a rectangular shape, while the lid allows for easy access to the contents inside.
The bin can be placed directly on the ground or on a solid surface, depending on personal preference.
Materials Used:
Wood or wire mesh (depending on preference)
Nails or screws to assemble the structure
Size of the Bin:
The size of the bin can vary based on the available space and the amount of compostable materials you generate. A suitable size for a home compost bin could be approximately 3 feet wide, 3 feet deep, and 3 feet tall.
Substances Used to Fill It:
To fill the compost bin, you would need a mix of "green" and "brown" materials. "Green" materials include fruit and vegetable scraps, coffee grounds, tea leaves, grass clippings, and plant trimmings. "Brown" materials consist of dry leaves, shredded newspaper, cardboard, and small twigs.
Household Items That Can Go in It:
You can add a variety of household items to the compost bin, such as fruit and vegetable peels, eggshells, coffee grounds, tea bags, yard waste (leaves, grass clippings, plant trimmings), shredded paper, cardboard, and natural fibers (like cotton or wool scraps).
Time for Compost to Be Ready:
The time it takes for the compost to be ready varies depending on factors like temperature, moisture, and the type of materials used. Generally, it takes about 2 to 6 months for compost to fully decompose and become ready to use.
Using the Compost:
Once the compost has broken down into a dark, crumbly, and earthy material, it is ready to use. You can spread it in your garden beds or pots as a nutrient-rich soil amendment. It improves soil structure, retains moisture, and provides essential nutrients for plants' growth.
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A scientist has two solutions what she has labeled solution a and solution b each contains salt she knows that solution a is 60% salt and solution b is 85% salt she wants to obtain 70 ounces of a mixture that is 80% salt how many ounces of each solution should she use
Answers
Solving a system of equations we can see that:
She needs to use 56 oz of the 85% solution.She needs to use 14 oz of the 60% solution.How many ounces of each solution should she use?We can use the variables:
x = mass of the 60% solution.
y = mass of the 85% solution.
We can write a system of equations.
x + y = 70
x*0.6 + y*0.85 = 70*0.8
We can isolate x on the first equation to get:
x = 70 - y
Replace that in the other one:
(70 - y)*0.6 + y*0.85 = 70*0.8
Now we can solve this for y.
y*0.25 = 70*0.8 - 70*0.6
y = 14/0.25 = 56
Then he needs to use 56 ounces of the 85% solution, and 14 ounces of the 60% solution.
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Select the correct answer.
The first term of a geometric series is -3, the common ratio is 6, and the sum of the series is -4,665. Using a table of values, how many terms are in this geometric series?
Answers
According to the definition of geometric series, there are five terms in the geometric series. (Correct choice: D)
How many terms are in a geometric series?
A geometric series is a expression represented by a exponential function of the form:
y = a · rˣ (1)
Where:
x - Index of the x-th element.r - Common ratioa - First term of the geometric series.y - Value of the x-th element.In this question we need to derive how many terms are in the sum of the geometric series described above: (a = - 3, r = 6)
y = - 3 · 6⁰ - 3 · 6¹ - 3 · 6² - 3 · 6³ - 3 · 6⁴
y = - 3 · 1 - 3 · 6 - 3 · 36 - 3 · 216 - 3 · 1,296
y = -4,665
According to the definition of geometric series, there are five terms in the geometric series. (Correct choice: D)
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You meet with the financial aid office to discuss your costs for attending MGA next semester. Tuition is
$113.67 per credit hour, and fees are a flat cost of $660. You have a grant of $350 and a scholarship of
$400. If you are taking 15 credit hours, what amount will you need to pay for your classes next
semester?
Answers
Answer:
$1615.05
Step-by-step explanation:
First, you need to determine the total cost for taking 15 credit hours:
Total cost=660+(113.67*15)
Total cost=$2,365.05
Now, you can subtract from that the amount of the grant and the scholarship you receive:
$2,365.05-$350-$400=$1615.05
According to this, the answer is that if you are taking 15 credit hours, you will need to pay $1615.05 for your classes next semester.
present ages of two children are 2 and 5 years the rspectively. After how long will the sum of their square ages be 45.
Answers
Using the concept of word problems and quadratic equation it will take 1 year until the sum of square of their ages be 45.
Calculating the duration to get the sum to 45Word problems are mathematical problems that are delivered in ordinary words, instead of mathematical symbols.
Part of the problem with dealing with word problems that they first need to be translated into mathematical equations, and then the equations need to be solved.In this problem;
let x represent the number of years from now when the sum of square of their respective age will be
45.(x + 2)² + (x + 5)² = 45
Expanding the brackets;
x² + 4x + 4 + x² + 10x + 25 = 45
2x² + 14x + 29 = 45
2x² + 14x + 29 - 45 = 0
2x² + 14x - 16 = 0
Solving the quadratic equation for x;
x = 1, x = -8
Taking the positive value, the value of x is 1
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For what values of a are the following expressions true?
1. |a-5|=5-a
2.|a|=-a
Answers
Answer:
1. a = 0 and 5
2. no solutions
Step-by-step explanation:
For absolute value, it's the distance from that number on the number line to 0, so it has to be positive. We define absolute value as when |a| = b, a = b and a = -b.
1. |a - 5| = 5 - a
a - 5 = 5 - a
2a = 10
a = 5
AND
a - 5 = -(5 - a)
a - 5 = -5 + a
-5 = -5
a = 0 (a could work as 0 in this scenario)
Thus our solutions are a = 0 and 5.
2. |a| = -1
Now we have to catch ourselves here. Since absolute value is always positive, nothing works. There is no negative distance to 0 (at least in real numbers). Hence, we can say that there are no solutions.
please help fast!! :)))
Answers
Answer:
2.388,16
Step-by-step explanation:
a) Each exterior angle in a regular n-gon measures 40˚. How many sides does this n-gon have?
b) Each exterior angle in a regular n-gon measures 18˚. How many sides does this n-gon have?
Answers
Answer:
Because it is a regular polygon, the sum of all exterior angles is equal to 360 degrees (one revolution). If each side has an exterior angle of 40 degrees, we simply divide 360 by 40 to get 9.
Step-by-step explanation:
PLS HELP: DETERMINE WHETHER THE PAIR OF RATIOS FORMS A PROPORTION
Answers
Answer:
No
Step-by-step explanation:
To form a proporion, both would need to be a multiple of the same thing, whcih they aren't
Solve the system of equations using the substitution or elimination method.
y = 4x - 7
4x + 2y = -2
.
Show your work
Correct x and y
Answers
The solution to the system of equations is x = 1 and y = -3.
To solve the system of equations using the substitution or elimination method, let's start with the substitution method.
Given equations:
y = 4x - 7
4x + 2y = -2
We'll solve equation 1) for y and substitute it into equation 2):
Substituting y from equation 1) into equation 2):
4x + 2(4x - 7) = -2
4x + 8x - 14 = -2
12x - 14 = -2
Now, we'll solve this equation for x:
12x = -2 + 14
12x = 12
x = 12/12
x = 1
Now that we have the value of x, we can substitute it back into equation 1) to find y:
y = 4(1) - 7
y = 4 - 7
y = -3
Therefore, the solution to the system of equations is x = 1 and y = -3.
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what i the scientific notation of 13400000
correct answer only
Answers
Answer:
1.34 x 10^7
Step-by-step explanation:
I hope this helped!
2m/5=2 trial error solution please help
Answers
Answer:
(2m+5)
2
=
Use binomial theorem (a+b)
2
=a
2
+2ab+b
2
to expand (2m+5)
2
.
4m
2
+20m+25
Answer - 4m + 2 + 20m + 25
Step-by-step explanation:
help
Miller Toy Company manufactures a plastic swimming pool at its Westwood Plant. The plant has been experiencing problems as shown by its June contribution format income statement below:
Flexible
Budge
Actual
Sales (7,000 pools)
$265,000 $265,000
Variable expenses:
Variable cost of goods sold*
79,240
97,525
Variable selling expenses
19,000
19,000
Total variable expenses
98,240
116,525
Contribution margin
166,760
148,475
Fixed expenses:
Manufacturing overhead
Selling and administrative
Total fixed expenses
Net operating income (loss)
67,000
67,000
85,000
85,000
152,000
152,000
$ 14,760 $ (3,525)
Janet Dunn, who has just been appointed general manager of the Westwood Plant, has been given instructions to "get things under control. Upon reviewing the plant's income statement, Ms. Dunn has concluded that the major problem lies in the variable cost of goods sold. She has been provided with the following standard cost per swimming pool:
Direct materials
Direct labor
Variable manufacturing overhead
Total standard cost per unit
Standard
Quantity or
Hours
3.5 pounds
0.4 hours
0.3 hours
Standard Price or Rate
§ 2.10 per pound
$ 7.60 per hour
$ 3.10 per hour
Standard
Cost
$ 7.35
3.04
0.93
$ 11.32
During June, the plant produced 7,000 pools and incurred the following costs:
a. Purchased 29,500 pounds of materials at a cost of $2.55 per pound.
b. Used 24,300 pounds of materials in production. (Finished goods and work in process inventories are insignificant and can be ignored.)
c. Worked 3,400 direct labor-hours at a cost of $7.30 per hour.
d. Incurred variable manufacturing overhead cost totaling $8,400 for the month. A total of 2,400 machine-hours was recorded.
It is the company's policy to close all variances to cost of goods sold on a monthly basis
Required:
1. Compute the following variances for June:
a. Materials price and quantity variances
b. Labor rate and efficiency variances.
c. Variable overhead rate and efficiency variances.
2. Summarize the variances that you computed in (1) above by showing the net overall favorable or unfavorable variance for the month.
Answers
a. Materials price variance = (Standard price - Actual price) x Actual quantity
= ($2.10 - $2.55) x 24,300 pounds
= -$10,935 (Unfavorable)
b. Materials quantity variance = (Standard quantity - Actual quantity) x Standard price
= (3.5 pounds - 24,300 pounds) x $2.10 per pound
= -$48,465 (Unfavorable)
Labor rate and efficiency variances:
a. Labor rate variance = (Standard rate - Actual rate) x Actual hours
= ($7.60 - $7.30) x 3,400 hours
= $1,020 (Favorable)
b. Labor efficiency variance = (Standard hours - Actual hours) x Standard rate
= (0.3 hours - 3,400 hours) x $7.60 per hour
= -$23,600 (Unfavorable)
Variable overhead rate and efficiency variances:
a. Variable overhead rate variance = (Standard rate - Actual rate) x Actual hours
= ($3.10 - $8,400/2,400 hours) x 2,400 hours
= -$2,800 (Unfavorable)
b. Variable overhead efficiency variance = (Standard hours - Actual hours) x Standard rate
= (0.3 hours - 2,400 hours) x $3.10 per hour
= -$7,194 (Unfavorable)
Net overall favorable or unfavorable variance for the month:
To calculate the net overall variance, we sum up all the variances:
Overall Variance = Materials price variance + Materials quantity variance + Labor rate variance + Labor efficiency variance + Variable overhead rate variance + Variable overhead efficiency variance
= -$10,935 + (-$48,465) + $1,020 + (-$23,600) + (-$2,800) + (-$7,194)
= -$94,014 (Unfavorable)
1. beaded necklace has four white beads for every 6 green beads. How many white beads will there be needed if there are 24 green beads?2.Gillian won the election for the sixth grade president. She received 52% of the vote. If 250 of kids voted, how many votes did Gillian receive.
Answers
1.
4 w------------------------->6 g
x w------------------------->24 g
Using cross multiplication:
\(\begin{gathered} \frac{4}{x}=\frac{6}{24} \\ \text{solve for x:} \\ x=\frac{24\times4}{6} \\ x=16 \end{gathered}\)Answer: 16 white beads
2.
Express the percentage as a decimal:
52% = 52/100 = 0.52
Multiply this result by the total number of votes:
\(250\times0.52=130\)Gillian received 130 votes
whats the equation of a line that passes through point (-1,3) with slope of 1
Answers
The equation of the line that passes through the point (-1, 3) with a slope of 1 is y = x + 4.
To find the equation of a line that passes through the point (-1, 3) with a slope of 1, we can use the point-slope form of a linear equation.
The point-slope form of a linear equation is given by:
y - y1 = m(x - x1)
where (x1, y1) represents the coordinates of a point on the line, and m represents the slope of the line.
Using the given point (-1, 3) and slope 1, we substitute these values into the point-slope form equation:
y - 3 = 1(x - (-1))
Simplifying:
y - 3 = x + 1
Now, we can rewrite the equation in the standard form:
y = x + 4
Therefore, the equation of the line that passes through the point (-1, 3) with a slope of 1 is y = x + 4.
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E IS THE MIDPOINT OF DF. IF DE =9X AND DF =19X -4, WHAT IF DF
Answers
Explanation
Step 1
Let
blue line represents DF=19x+4
black line represents DE=9x
green line represents Ef= unknow
Step 2
E is the midpoint, so
\(\begin{gathered} DE+EF=DF \\ \text{replacing} \\ 9x+EF=19x-4 \\ \text{and DE=EF=9x, so} \\ 9x+9x=19x-4 \\ \end{gathered}\)Step 3
solve for x
\(\begin{gathered} 9x+9x=19x-4 \\ 18x=19x-4 \\ 18x-19x=-4 \\ -x=-4 \\ x=4 \end{gathered}\)Step 4
replace the value of x to find the distances
\(\begin{gathered} DE=EF=9x=9\cdot4=36 \\ DF=2\cdot DE=2\cdot36=72 \\ \end{gathered}\)I hope this helps you
please help me with my online classwork!
Answers
Answer:
840 cm²---------------------------
There are two triangular faces with base of 16 cm and height of 15 cm and three rectangular faces.
Find the sum of areas of all five faces:
S = 2*(1/2)*16*15 + (17*2 + 16)*12 = 240 + 600 = 840please help please help
Answers
Answer:
6 quarts because 2/3 of 9 is 6 :)
The container holds 9 quarts and she wants only 2/3 of the way. 2/3 of the way is the same thing as 2/3 of 9.
\(\frac{2}{3} *9=6\)
Thus Lauren needs to fill 6 quarts of the 9 quarts to get to the 2/3 of the way.
Hope that helps!
The life of lightbulbs is distributed normally. The variance of the lifetime is 900 and the mean life time of a bulb is 580 hours. Find the probability of a bulb lasting for at most 613 hours round your answer to four decimal places
Answers
Given:
The life of lightbulbs is distributed normally. The variance of the lifetime is 900 and the mean life time of a bulb is 580 hours.
Required:
Find the probability of a bulb lasting for at most 613 hours
Explanation:
The mean lifetime of a bulb = 580 hours
The variance of the lifetime is 900. So, standard deviation will be 30.
\(\begin{gathered} \text{ We are supposed to find the probability of a bulb lasting for at most} \\ 613hours\text{ i.e. }P(X\leq613). \\ Formula:Z=\frac{x-\mu(mean)}{\sigma(stnadard\text{ }deviation)} \\ Z=\frac{613-580}{30} \\ =\frac{33}{30} \\ =1.1 \end{gathered}\)Now from z table
\(P(X\leq613)=0.86433\)Answer:
The probability of bulb lasting for at most 613 hours is 0.86433
HELP HELP HELP WILL GIVE MORE POINTS
Answers
The area of the circular sector is equal to 49π / 10 square units.
How to find the area of a circular sector
In this problem we find the case of a circular sector, whose area (A) must be found by means of the following formula:
A = (α / 360°) · π · r²
Where:
α - Central angle, in degrees.r - RadiusIf we know that r = 6 and α = 49°, then the area of the circular sector is:
A = (49° / 360°) · π · 6²
A = 49π / 10
The circular sector has an area of 49π / 10 square units.
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Please help!!!!
\((\pi \sqrt 81 \frac{\sqrt[3]{8}}{2} ) / 3\pi = ???\)
Answers
Step-by-step explanation:
\((9\pi \frac{2}{2} )\div 3\pi \\ \)
\( \frac{9\pi}{3\pi} \\ \)
\(3\pi\)
3π is the answer
shareholders. Calculate the amount of dividend r of dividend received by Bishwant. Curriculum Development Centre. Sanothimi. Bhaktanur 65 Vedanta Excel in Mathematics - Booeceived by Mrs. Rai. b) A Business Company sold 2,500 shares at Rs 1,200 per share. Bishwant bought 450 shares. If the company earned a net profit of Rs 39,00.000 in a year and it announced to distribute 18% dividend from the net profit to its shareholders, find the amount
Answers
3900000×18% = 702000
702000÷2500 = 280.8 per share dividend
450×280.8 = 126360
Find the value of y.
Answers
Answer:
y = \(\sqrt{55}\)
Step-by-step explanation:
using the Altitude- on- Hypotenuse theorem
(altitude)² = product of parts of hypotenuse
then
y² = 11 × 5 = 55 ( take square root of both sides )
y = \(\sqrt{55}\)
In the equation x - 89 = 2, what is the next step in the equation solving sequence?
Subtract 2 from both sides
Add 2 to both sides
Subtract 89 from both sides
Add 89 to both sides
Answers
Answer:
Add 89 to both sides
Step-by-step explanation:
This is because the goal is to isolate x, which means get x by itself. To do that, we need to get rid of the -89 on that side. We can get rid of it by using its inverse operation, addition, and adding 89 to both sides. Now, x = 91.