The complete representation of the expression is 7/ 10^-1 = 7 x 10^1
What are index forms?Index forms are simply defined as the exponent or power of a number raised to a variable or number.
It is known as the standard form of a number.
It is also known as the exponential representation of an expression or number .
Example;
The index form of 200 is 2 × 10^2
The index form of 40 is 4 × 10 ^1
Given the expression;
7/10- = 7x10^
We have;
7/ 10^-1 = 7 x 10^1
Thus, the complete representation of the expression is 7/ 10^-1 = 7 x 10^1
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A carpenter sells nightstands at a local store. The table shows the number of nightstands sold and the amount of profit earned.
Number of Nightstands Sold
Profit (in dollars)
2
$900
?
4
8
10
$3.600
$4.500
What is the missing value in the table?
O $1,200
$1,350
O $1,800
O $2,700
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When 4 nightstands are sold the profit is $1800 since the number of nightstands sold is directly proportional to the profit.
The profit is defined as difference between the cost price and sell price for a product.
A directly proportional relationship means that if two variables x and y are proportional to one another then there exist a constant k such that x = y × k .
The graph of a directly proportional equations is a straight line passing through the origin.
Given that the profit is $900 for 2 sold nightstands, $3600 for 8 night stands and $4500 for 10 sold nightstands.
Now this relationship is directly proportional.
So the constant is given by k=900/2=4500/10=3600/8=450
Hence the profit for selling 4 night stands is 450 × 4 =$1800
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50 pts to whoever can solve these correctly
The quadratic equation is an equation of the form ax^2 + bx + c =0. Note that the quadratic equation is a polynomial of degree two. This implies that the highest power of x in the quadratic function is power two.
The quadratic formula is given by x = -b ± √b^2- 4ac/2a. The discriminant can be used to obtain the nature of the roots of a quadratic equation. If the roots are real and positive we would have a positive discriminant. If the value of the discriminant is negative then it implies that the roots of the equation are imaginary.
The discriminant can be given as √b^2 - 4ac. The statements that are true about the quadratic formula are;
x = -b/2a gives the line of symmetry
√b^2- 4ac/2a gives the maximum and the minimum points of the quadratic equation
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Identify the algebraic expression for the given word phrase.
6 times the sum of r and 9
r (6 + 9)
6 (r + 9)
6r + 9
6 + r + 9
helpp!
Answer:
6 (r + 9)
Step-by-step explanation:
6 times the sum of r and 9 means 6 (r + 9)
Expand each logarithm.
log a²
If the expression is log a², then the expansion of this expression looks like 2 log a.
Given that the expression is log a².
We are required to find the expansion of the expression.
The change of base formula gives the way to re-write a logarithm operation as a fraction of logarithms with a new base.
We know that log [tex]a^{b}[/tex]=b log a.
The expression is log a². So,
log a²=2 log a (Power of a will come in front of log)
Hence if the expression is log a², then the expansion of this expression looks like 2 log a.
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How is the answer to 68-5-(13-27)= 77?
The answer of the given expression is 77 .
PEMDAS is word form accustomed mention the order of operations to be followed whereas determination expressions having multiple operations. PEMDAS stands for P- Parentheses, E- Exponents, M- Multiplication, D- Division, A- Addition, and S- Subtraction.PEMDAS or order of operations may be a set of rules to perform operations in arithmetic expression. There ar completely different situations wherever everything goes through numerous steps during a mounted sequence.We have given an expression 68-5-(13-27)=77
First simplify LHS = 68-5-(13-27) ...(1)
According to BODMAS first solve the bracket term .
On solving the bracket term , we get
13 - 27 = - 14
Now put this value in equation (1) , we get
[tex]LHS = 68-5-(-14) \\LHS=68-5+14\\[/tex]
Now , apply addition and subtraction operation
[tex]LHS = 63+14\\LHS=77[/tex]
as RHS = 77 = LHS
Hence , the evalution is correct.
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Ben bunu .... Cevabını bulmaya 5+5
Answer:10
Step-by-step explanation:
2 Yvonne cut a picture into the shape
of a parallelogram to place into her
scrapbook. The picture is shown.
What is the area of the picture?
12 cm
7.5 cm
Answer:
calculate the area of the triangle first.
12×7.5= your answer
Answer:
12×7.5= your answer
Step-by-step explanation:
if you answered my other question please get ur points here
Answer:
Step-by-step explanation: Hope my explanation made sense
Answer:
Thank you, if you need more clarification on the system of parallelograms, let me know.
Rearrange bn - w = f to make n the
subject.
Answer:
n = (f + w)/b
Step-by-step explanation:
bn - w = f
Rearrange the equation so that the subject is on its own, in the format Ax = B
bn - w + w = f + w
bn = f + w
Isolate the subject, so that it's in the format x = C
bn = f + w
bn/b = (f + w)/b
n = (f + w)/b
V = pie r squared h solve for h
The isolated value of h is found to be V/πr²
The three-dimensional solid shape of a cylinder is made up of two parallel bases connected by a curved surface. These bases have the shape of a spherical disc. The axis of the cylinder is a line drawn through the centre or connecting the centres of two circular bases. The density of a cylinder is determined by its volume, which represents how much material may be immersed in it or carried inside of it. The formula πr²h, where r is the radius of the circular base and h is the height of the cylinder, determines the volume of a cylinder. Any substance that can fill the cylinder consistently with liquid or another material may be used as the component.
According to given formulae:
V=πr²h
On dividing both side with πr² we get
⇒V/πr²=πr²h/πr²
(Solving R.H.S)
⇒h=V/πr²
Therefore, the value of h in the given question is V/πr²
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A garden is in the shape of a square with a perimeter of 60 feet. The garden is surrounded by two fences. One fence is around the perimeter of the garden, whereas the second fence is
2 feet from the first fence on the outside. If the material used to build the two fences is $1.21 per foot, what was the total cost of the fences?
The total length between the two fences is 136 ft, and the total cost is 164.56 dollars.
What was the total cost of the fences?We have a square garden with a perimeter of 60ft. Then if the sidelength of the square is S, we have that:
60ft = 4*S
S = 60ft/4 = 15ft
We know that the first fence is around the perimeter of the garden, so the length of the first fence is exactly 60ft.
Now, the other fence is 2ft away from the first fence, so it forms a square of sidelength of:
15ft + 2*2ft = 19ft
Then the perimeter of this square is:
P = 4*19ft = 76ft
This means that the length of the second fence is 76 ft.
So the total length of fence is 76ft + 60ft = 136ft
And the cost is $1.21 per ft, then the total cost for the fence is:
C = 136*$1.21 = $164.56
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Ayuda es urgente . Puntos
Answer:
que aa que quiere uste puntos yo tmbb ayuda
→
What single decimal multiplier would you
use to increase by 9% followed by a 6%
decrease?
There will be a 6% rise using the 0.9646 multiplier, then a 9% reduction.
What is a multiplier?Simply said, a multiplier is a factor that increases the basic value of another object. For example, a 2x multiplier would double the initial value. On the other hand, a multiplier of 0.5x would actually cut the basic amount in half. In finance and economics, multipliers come in a wide variety.
Say that Number is 100N.
growth of 6%
= (6/100)100N
= 6N
Number following reduction: 100N + 6N = 106N
9% lessening
= (9/100)106N
=954N/100
= 9.54N
Final result after reduction = 106N - 9.54N
=96.46N
=9646N/100
= 9646 * 100N/100 * 100
= 9646 * 100N/10000
= 0.9646 * 100N
There will be a 6% rise using the 0.9646 multiplier, then a 9% reduction.
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what is positive number - positive number
2 − (+7) = ?
Answer:
-5
Step-by-step explanation:
2-(+7)
since the negetive is in front of the parenthesis the 7 turns into a negative
2-7
Seven is greater than two which means that the number will be in the negative section
-5
An ad for Speedy Delivery Service says When it has to be there fast, it has to be Speedy. Catalina needs to send a package fast. Does it follow that she should use Speedy? Explain
Yes. The Law of Detachment dictates that Catalina employ Speedy. The conclusion should come naturally if the hypothesis is correct.
According to the Law of Detachment, in order for our desires to manifest in the physical reality, we must dissociate ourselves from the outcome or result. For things to happen after we have done our part, we must learn to let go of the result. And when we do let go, things start to happen. They might not arrive in the manner we anticipated, but they do. Why is letting go so difficult? The most potent and difficult law is the Law of Detachment. The ability to accept things as they come, when they arrive, and in whatever form they take and to learn to be happy no matter what is closely tied to the law of detachment.
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Simplify each number. 1000⁴/₃ / 100³/₂
The result of simplifying each number 1000⁴/₃ / 100³/₂ using the exponent rules is: 10
To solve this exercise we have to resolve algebraic operations following the exponent rules.
(1000⁴/₃) / (100³/₂)
Base: 1000 = 10³
Base: 100 = 10²
As 1000 is the same as 10³ and 100 is the same as 10², we get:
(10³)⁴/₃ / (10²)³/₂
Using the power of a power rule that indicates that: the exponent result will be the multiplication of these exponents, we have:
10³*⁴/₃ / 10²*³/₂
10¹²/₃ / 10⁶/₂
10⁴ / 10³
Using the quotient rule that indicates that: the exponent result will be the subtraction of these exponents, we have:
10⁽⁴⁻³⁾
10
What is an exponent?In mathematics an exponent is the number of time that a number, called (base) is multiplied by itself. It is also called, power or index.
Example: 3² = 3*3 = 9
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Simplify. (2⁴) (2⁵)
Applying the product rule for exponent numbers, 2⁴ . 2⁵ = 2⁴⁺⁵ = 2⁹
Recall the rules of exponent operations:
Product. [tex]a^{b}.a^{c}=a^{b+c}[/tex]Quotient. [tex]a^{b}:a^{c}=a^{b-c}[/tex]Power. [tex](a^{b})^{c}=a^{b.c}[/tex]Power of a product. [tex](a.b)^{c}=a^{c}.b^{c}[/tex]Zero power. a⁰ = 1Negative exponent. [tex]a^{-b}=\frac{1}{a^{b}}[/tex]Note that the first 3 rules use the same base. If there are more than 1 base number, then group the exponent that have the same base first.
Example:
[tex](2^{3}.3^{-2}) : (2^{-3}.3^{2})=( 2^{3}:2^{-3}).(3^{-2}:.3^{2})[/tex]
Tips: To simplify exponent numbers, sometimes it is useful to modify the base whenever possible.
Example:
8².2⁻⁵ = (2³)². 2⁻⁵ = 2⁶. 2⁻⁵ = 2⁶⁻⁵ = 2¹ = 2
The given problem:
Simplify (2⁴) (2⁵)
Use the product rule:
2⁴ . 2⁵ = 2⁴⁺⁵ = 2⁹
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Gregory planted a lemon tree in his back yard. when he planted the tree, it was two feet tall. he noticed that it has been growing three inches every week.
y = 2 + 0.0357x shows the relationship between the height of the lemons and days, it will take 16 weeks for the lemon tree to reach 6ft.
Day 0 the plant is 2ft
Every 7 days the plants increase by 3 inches
Recall that, 1 inch = 0.0833 feet
Therfore 3 inches = 3 × 0.0833 = 0.2499ft
The plant increases in by 0.2499/7 daily
0.25/7 = 0.0357
Let x be the days and the y be plant height, the plant height and the number of days can be related by
y = 2 + 0.0357x
Days (x)
0
7
14
21
24
height (y)
2
2.25
2.50
2.75
3.00
b) when the tree will by 6ft, y = 6ft
y = 2 + 0.0357x
6 = 2 + 0.0357x
Collect like terms
6-2 = 0.037x
4 = 0.0357x
x = 4/0.0357
x = 112.04 days
x = 112 days
Converting it to weeks 112/7 = 16 weeks, it will take 16 weeks for the plant to grow to 6ft.
The growth of the plant is linear.
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Mrs. Weatherford spends 15% of each weekday
traveling in her car. How many hours per day
does Mrs. Weatherford spend in her car during
the week?
According to the solving Mrs. Weatherford spends 15 percent of each weekday 25 hours and 20 minutes in her car.
What does the Percentages mean?A % is a relative figure that represents the hundredth part of any amount. One percent (symbolized 1%) is one hundredth part; consequently, 100 percent denotes the complete amount and 200 percent defines twice the supplied amount.
What is the significance of percentage?The most fundamental use of percentages is really to compare one number to another, with the second number rebased to 100. Assume we want to know the number among employed females as both a percentage of all employees.
According to the given data:Mrs. Weatherford drives 15% of the time during the week.
We know that:
1 week = 7days
1day = 24 hours
So 7 days = 7 x 24
= 168 hours
Mrs. Weatherford drives 15% of the time during the week.
So,
(168/100) * 15
1.68 * 15
25.2 hours
According to the solving Mrs. Weatherford spends 25 hours and 20 minutes in her car.
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help me please !!!!!!!
The rate of change in gas usage is 34.70 miles per gallon.
What is the rate of change?The rate of change is the total gallons used for every one mile travelled. To determine the rate of change, divide the miles driven by the gallons used.
Division is the mathematical operation that is used to determine the quotient of a number. It involves grouping a number into equal parts using another number. The sign used to represent division is ÷.
Rate of change = miles driven / gallons used
1041 / 30 = 34.70 miles per gallon
1596. 2 / 46 = 34.70 miles per gallon
1665.6 / 48 = 34.70 miles per gallon
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2\3 the long divided way
Using long division 2/3 is found to be 0.6667, the value is discontinued by approximating a 6 to 7
How to solve 2/3 in long division3 | 2 =
3 | 2 = 0.
3 | 20 = 0.
3 | 20 = 0.6 20 - 3 * 6 = 20 - 18 = 2
3 | 2 = 0.6
3 | 20 = 0.6
3 | 20 = 0.66 20 - 3 * 6 = 20 - 18 = 2
3 | 2 = 0.66
3 | 20 = 0.66
3 | 20 = 0.666 20 - 3 * 6 = 20 - 18 = 2
The procedure continues unending to get 0.666666666.........
Hence we say that 2/3 = 0.6666...≅ 0.6667
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An object is 3 dimensional if and only if it has length, width, and depth.
True or false?
Solve for x and graph the solution on the number line. If possible, resolve your answer to a single inequality. In case of no solution leave the number line blank.
22>=-3x+7 and -3x + 7 >-17
The solution to the inequality expression 22 >= -3x + 7 and -3x + 7 >-17 is -5 <= x < 8
What is a number line?A number line is a vertical or horizontal line that has endpoints and it is used to represent numbers at a constant interval
How to plot the number line?The expression is given as
22 >= -3x + 7 and -3x + 7 >-17
The above expression is an inequality expression
As a general rule:
Inequality expressions are mathematical statements that are represented by variables, coefficients and operators where the opposite sides are not equal
So, we have
22 >= -3x + 7 and -3x + 7 >-17
Evaluate the like terms
15 >= -3x and -3x >-24
Divide through by -3
So, we have
-5 <= x and x < 8
Combine the expressions
-5 <= x < 8
Hence, the solution to the inequality expression 22 >= -3x + 7 and -3x + 7 >-17 is -5 <= x < 8
See attachment for the number line
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A chessboard is made of 64 small squares. Suppose a single square on a chessboard has an area of 9 square centimeters. How long is one side of the entire board?
PLEASE HELPPP
Answer:
[tex]72cm[/tex]
watch the cm sign too
Step-by-step explanation:
[tex]area = s2[/tex]
I think you should find the square root in order to get the length of one side
[tex] \sqrt{64} [/tex]
answer is 8, then you multiply 8 by 9 to get the length of one side of the board
[tex]9 \times 8[/tex]
[tex] = 72cm[/tex]
that should be your final answer
What is the slop of the line represented by the equation y=4.5X-3
Answer: We have 4.5 and 7 as intercept on y-axis
Step-by-step explanation: this is just what my teacher has told my class
Answer:
4.5Step-by-step explanation:
The equation is written in slope-intercept form, y=mx+b.
In slope-intercept form, the slope, m, is always the number before x.
Therefore the slope is 4.5.
[tex]\Large\overbrace{\underbrace{\boldsymbol{\rm{Reflection - RoSe}}}}^\star_\star[/tex]
The measure of variability easiest to compute, but seldom used as the only measure, is the _____
The measure of variability easiest to compute, but seldom used as the only measure, is the range.
What is the range of values?The range is the term that is used to refer to the difference that lies between the highest value and the lowest value in a data set while computing a statistical data.
The measures of variability are 4 in number. These are
The rangeThe interquartile rangethe standard deviationThe variance.Hence we can conclude that The measure of variability easiest to compute, but seldom used as the only measure, is the range.
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What letter is the plane?
Answer:
P
Step-by-step explanation:
the fancy looking 'p' in the corner tells you what the plane is labeled
Naomi's burger shack sold a total of 484 hamburgers today. three times as many hamburgers were sold without cheese as were sold with cheese. how many cheeseburgers were sold?
Naomi's burger shack sold a total of 484 hamburgers today .Then 121 cheeseburgers were sold and 363 hamburgers were sold
Naomi's burger shack sold a total of 484 hamburgers today.
three times as many hamburgers were sold without cheese as were sold with cheeseburgers
how many cheeseburgers were sold?
according to the question
Hamburgers (H) + cheeseburgers (C) = 484
C + H = 484
H = 3C
we can solve these equation
C+ 3C = 484
4 C= 484
C = 121
then we can find H by putting the value of C
H = 3* 121 = 363
So, 121 cheeseburgers were sold and 363 hamburgers were sold
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( 8, 2 ), ( 4, -4 ) find the distance between each pair
Answer:
52 is the answer to that question
PLEASE HELP ME NOW!!! I OBLY HAVE 1 HR TO SOLVE THIS!!!
If A=1, B=2, C=3, …, and Z=26, find a word whose letter will sum to 75.
Answer:
Arrow
Because I used a word calc that took me like 5 mins to find lol