The diameters of a strand of black hair and a strand of red hair is found to be 1.4×10⁻³.
What is defined as the scientific notations?Scientific notation is a method of expressing extremely large or extremely small numbers.
When a quantity between 1 & 10 is multiplied by a power of 10, it is composed in scientific notation. 650,000,000, for example, can be composed in scientific notation as 6.5× 10⁸. The scientific notation system relies on powers of ten. The coefficient is the first number, 1.23.For the given question;
Diameter of the black hair is 2.4×10⁻³ inch.Diameter of the red hair is 0.001 inch.Convert the decimal value 0.001 in scientific notations;
= 0.001 inch
= 1×10⁻³ inch
Now, calculate the difference;
Difference in diameter = Black hair diameter - Red hair diameter
Difference in diameter = 2.4×10⁻³ - 1×10⁻³
Difference in diameter = 1.4×10⁻³
Therefore, the value of the difference in the diameter of red and black hair is found as 1.4×10⁻³.
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You have a coupon for your favorite clothing store for $20 off any purchase of more than $75. The store is
also running a 15%-off sale on its entire inventory. Let x be the original price,
f x( )
be the price with the $20
coupon applied, and
g x( )
be the price with the 15% discount applied.
(a) Write an expression for
f x( ) . (3 points)
(b) Write an expression for
g x( ) . (3 points)
(c) Write the expression
(f g x )( )
and explain what it represents? (3 points)
(d) Write the expression
(g f x )( )
and explain what it represents? (3 points)
(e) If the store allows you to apply both the 15% discount and the $20-off coupon, does it matter which
you apply first? How do you know? (3 points
The expressions of all the functions are;
1) f(x) = 0.75x
2)g(x) = 0.8x
3) (f o g)(x) = 0.6x
4) (g o f)(x) = 0.6x
How to create Algebraic Equations?
We are told that f(x) is the price with the $20 coupon applied, and
g(x) is the price with the 15% discount applied. Thus;
1) An expression for f(x) is;
f(x) = (1 - 0.25)x = 0.75x
f(x) = 0.75x
2) An expression for g(x) is;
g(x) = (1 - 0.2)x = 0.8x
g(x) = 0.8x
3) An expression for (f o g)(x) is;
(f o g)(x) = f(g(x)) = 0.75(0.8x) = 0.6x
(f o g)(x) = 0.6x
4) An expression for (g o f)(x) is;
(g o f)(x) = 0.8(0.75x) = 0.6x
(g o f)(x) = 0.6x
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The redwood tree in ronin's yard grows at a rate of 6 feet in 1 year. the redwood tree in camren's yard grows 3 feet in 1/3 year.
Answer:
thsnk
Step-by-step explanation:
Mikaela purchased a paddleboard originally priced at $799. If all merchandise was on sale for 40% off and the state tax rate is 7.25%, what is the total amount that Mikaela spent on the paddleboard?
$537.33
$514.16
$342.77
$377.53
The total amount that Mikaela spent on the paddleboard is $514.16
What is the total amount that Mikaela spent on the paddleboard?The given parameters are:
Original cost = $799
Discount = 40%
State tax = 7.25%
The total amount that Mikaela spent on the paddleboard is calculated as
Amount = Original cost * (1 - Discount) * (1 + State tax)
This gives
Amount = 799 * (1 - 40%) * (1 + 7.25%)
Evaluate
Amount = 514.16
Hence, the total amount that Mikaela spent on the paddleboard is $514.16
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Answer:
(B) $514.16
Step-by-step explanation:
Correct on my quiz.
Write a two-column proof.
Given : √ABCD, AE/CF
Prove: Quadrilateral EBFD is a parallelogram.
Answer: i need points (dont delete ily<3) (respect my grind)
Step-by-step explanation:
find the 97th term of the arithmetic sequence -16, 2, 20
Answer:
1080
Step-by-step explanation:
Answer:
97th term of arthmetic progression is
-16+ 96* 18
Step-by-step explanation:
Is the square root of two A rational number or an irrational number
Square root of Two is an irrational number. because we are unable to express it in the form a/b, where a and b are whole numbers and b is not zero.
What is an irrational number?Any real number that cannot be written as the quotient of two integers—that is, as p/q, where p and q are both integers—is an irrational number. For instance, the square root of 2 cannot be represented by an integer or a fraction.
Is an irrational number a true number?Because these numbers may be represented on a number line, they are real numbers rather than complex numbers.
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Solve for x.
3(x + 5) = 30
Answer:
x=5
Step-by-step explanation:
3(5+5) = 30
3(10) = 30
<3
Explain Linear Equations in One Variable.
A linear equation in one variable is the equation that has one one term
How to explain a linear equation?You should understand that an equation is linear if there highest power of the equation is one (1)
The linear equation can have one or two terms. But in this regard, it the equation contains only a term or variable say x,y,m, p, q, a, b etc, the equation is said to be in one variable.
Taking the following sets of equations
x+4 = 5
2y-8=0
x+4=3-8x
These equations are linear and they contain only one variable.
Therefore, a linear equation is the equation containing one variable whose highest power of the variable is one.
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2x^2+1=9
find x please!!! will give brainliest
Answer: x = -2, 2
Step-by-step explanation:
2x^2 + 1 = 9
-1. -1
2x^2 = 8
2x^2/2 = 8/2
x^2 = 4
[tex]\sqrt{x^2} = \sqrt{4}[/tex]
x = -2, 2
Graph f(x) = -3 |X+2| +4 List the following characteristics from your graph:
a. Vertex
b. Axis of symmetry
c. Is there a minimum or maximum value? What is the value?
d. End behavior
Answer:
Axis of symmetry is the green dotted line
What is the vertex of the quadratic function below?
y=x² +12%-7
O A. (-6,-43)
OB. (-6,-29)
O C. (6,3)
OD. (6,29)
Answer:
A
Step-by-step explanation:
assuming you meant y = x² + 12x - 7 , then
given a quadratic in standard form
y = ax² + bx + c (a ≠ 0 )
the x- coordinate of the vertex is
x = - [tex]\frac{b}{2a}[/tex]
y = x² + 12x - 7 ← is in standard form
with a = 1 , b = 12 , then x- coordinate of vertex is
x = - [tex]\frac{12}{2}[/tex] = - 6
substitute x = - 6 into the equation for corresponding y- coordinate
y = (- 6)² + 12(- 6) - 7
= 36 - 72 - 7
= - 43
vertex = (- 6, - 43 )
The Associative
18. M
Property holds true for multiplication
Sti
because (-3 × 4) x (-2) = -3 × [4 x (-2)].
re
Does the Associative Property hold true for division of integers? Explain.
no because division is not associative only multiplication.
5. The length of a rectangle is 4 feet more than the width. The perimeter * 1 point
of the rectangle is 24 feet. Find the length.
Answer: 8 feet
Step-by-step explanation:
Let,
Width= x
Length= x + 4
Perimeter= 24 ft
Now,
2{x+(x+4)}= 24
⇒ x = 4
Width= 4 feet
Length= 8 feet
the desert temperature, h, oscillates daily between 40°f at 5am and 80°f at 5pm. write a possible formula for h, measured in hours from 5am, using the form h
The desert temperature, h, oscillates daily between 40°f at 5am and 80°f at 5pm. write a possible formula for h is - [tex]H(t) = -20 cos \frac{pi}{12} t + 60[/tex]
y = A cos[B(x-C)] + D, where
A = amplitude,
period = 2π / |B|
C = Phase shift
D = vertical shift
Amplitude = (Max value - Min value) / 2
Amplitude = 80 - 40 / 2
Amplitude = 20
24 = 2π / |B|
B = π / 12
vertical shift = Max value + Min value / 2
D = 80 + 40 / 2
D = 60
Since the temp. is min. at t = 0, we will use negative cosine.
H(t) = -20 cos(π t/ 12) + 60
∴ Our required equation will be - [tex]H(t) = -20 cos \frac{pi}{12} t + 60[/tex]
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which surveys illustrate an example of qualitative data? check all that apply.the time, in minutes, it took students to finish their examsthe eye color of students involved in after-school activitiesthe characteristics of different types of birdsthe scores on the last examthe weights of different books
Qualitative data include the eye color of students involved in after-school activities and the characteristics of various types of birds.
What do we mean by Qualitative data?Qualitative data are those that cannot be expressed numerically and cannot be measured.So,
The time it took students to finish their exams in minutes can be measured numerically, so it is quantitative data.Because the eye color of students involved in after-school activities cannot be measured, the data is qualitative.The characteristics of various types of birds cannot be measured numerically - thus, it is qualitative data.The last exam score can be measured and expressed numerically, so it is quantitative data.The weights of various books can also be measured, resulting in quantitative data.Therefore, qualitative data include the eye color of students participating in after-school activities as well as the characteristics of various bird species.
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Jerry and Katy ask students how far they live from school. The graphs show the data each person has collected. Distance from School - Jerry's Study 0 1 2 3 4 5 6 7 8 9 10 11 Number of miles Number of students Distance from School - Katy's Study 210987OSTMNTO 3 0-2 3-5 6-8 9-11 Number of miles
Answer:
1. 13 As there are 13 points indicating there are 13 students 2. 39.
Step-by-step explanation:
The Springfield zoo is breeding gorillas. They have 3 gorillas which can mate and give birth. After the first year there are 7 gorillas. After the second year there are 11 gorillas. If the gorillas continue to increase at the same rate, how long will it take for the Springfield zoo to have 35 gorillas?
Using a linear function, it will take 8 years for the Springfield zoo to have 35 gorillas.
What is a linear function?A linear function is modeled by:
y = mx + b
In which:
m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.For this problem, the parameters are given as follows:
m = 4, b = 3.
Hence the number of gorillas after x years is given by:
G(x) = 3 + 4x.
It will have 35 gorillas when:
G(x) = 35.
Hence:
3 + 4x = 35.
4x = 32.
x = 32/4
x = 8.
It will take 8 years for the Springfield zoo to have 35 gorillas.
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find the 10th term of the geometric sequence 3, 15, 75…
Answer: 5859375
Step-by-step explanation:
3, 15, 75...
75/15=5
15/3=5
Every term multiplied by 5 is the next term. Hence, the equation for this sequence can be expressed as:
y=3*[tex]5^{x-1}[/tex] ==> y is the term when x is the term number and 3 is the first number in the sequence
Now let's solve for the 10th term:
y=3*[tex]5^{10-1}[/tex]
y=3*[tex]5^{9}[/tex]
y=3*1953125
y=5859375
21. thirty-one increased by fourteen
22. the difference of sixteen and nine 23. the sum of seven, four, and eighteen 24. three times forty
25. the quotient of eighty-one and three
26. four more than the product of seven and eight
27. the cost of three slices of pizza at $2 each
Copyright
28. the number of days in six weeks
Answer:
Hope this helps :)
21) 31 + 14
22) 16 - 9
23) 7 + 4 + 18
24) 3 × 40
25)
26) 81 ÷ 3 OR 81/3 (the fraction bar also means divide)
27) 3 × 2 = 6
28) 7 x 6 = 42 (7 days in a week times by 6 weeks equal 42 days)
Alabama has about 2.51 million acres of cropland. Florida has about 1.15 times as much cropland as Alabama. How much cropland does Florida have?
Florida has ___ million acres of cropland.
Answer: 2,8865 million acres of cropland in florida
Step-by-step explanation: To solve this problem we can multiply Alabama's cropland of 2.51 million acres by 1.15 giving: 2.51 million ×1.15=2.8865 million acres of cropland in Florida.
I Hope this helps :)
Answer: Florida has 2.8865 million acres of cropland.
Step-by-step explanation:
We can first do the multiplication, 2.51 x 1.15, and then add 1,255 + 2,510 + 25,100 then we get the answer: 2.8865
Hope this helps :)
I'm not sure how to do this and im super confused
Answer: The m<A = 55
Step-by-step explanation:
1. We know that m<A is likely congruent to m<B (know that m< means measure of angle) {Also noting congruent means same}
2. With that, we can tell that the given info is telling us that 124 is the total degree for m<D.
3. So, this tells us that 2x + x + 41.5 = 124 is the formula we will use.
3a. 3x + 41.5 = 124 (Simplify)
3b. 3x = 82.5 (Combine like Terms)
3c. x = 27.5 (Divide)
4. Now we know what x is, so finding m<A is easy, 2(27.5) equals to 55, meaning m<A is 55. For m<B, 27.5 + 41.5 equals to 69. To make sure 55 + 69 equals to 124
5. So:
m<A = 55
m<B = 69
m<D = 124
Geela has 20 litres of yoghurt that she wants to put into pots containing 1-litres each.
How pots can she fill ?
We get that the number of pots that can be filled are 20 pots.
We are given that:
The total amount of yoghurt with Geela = 20 liters.
The amount of yoghurt in 1 pot = 1 liter
Now, we need to find the number of pots that can be filled.
So, we will do this by using division.
We get that:
Number of pots that can be filled. = 20 / 1
Number of pots that can be filled. = 20 pots
Therefore, we get that the number of pots that can be filled are 20 pots.
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i'm having trouble figuring out this like entire problem :(
Using similar triangles, it is found that the measure of angle B is of 74º.
What are similar triangles?Similar triangles are triangles that have the same angle measures, and whose side lengths are proportional.
In this problem, the triangle ABC was translated, resulting in triangle A'B'C'. A translation does not change the measures of the angles, hence their angles are given as follows:
80º, 26º and B.
The sum of the internal angles of a triangle is of 180º, hence:
80 + 26 + B = 180
B = 74º.
The measure of angle B is of 74º.
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HELP ASAP I DON'T UNDERSTAND
Answer:
A
Step-by-step explanation:
x² + 7x + 12 = 0
consider the factors of the constant term (+ 12) which sum to give the coefficient of the x- term (+ 7)
the factors are + 3 and + 4 , since
3 × 4 = + 12 and 3 + 4 = + 7 , then
(x + 3)(x + 4) = 0
equate each factor to zero and solve for x
x + 3 = 0 ⇒ x = - 3
x + 4 = 0 ⇒ x = - 4
What is the equation of the line that passes through the point (4, 6) and has an
undefined slope?
what’s the equation
Answer:
x = 4
Step-by-step explanation:
You want the equation of the vertical line through (4, 6).
Undefined slopeSlope is the ratio of rise to run for a line. When the "run" is zero, that ratio becomes undefined. The "run" will be zero for any rise when the line is vertical.
EquationThe equation of such a line has the form ...
x = c . . . . . for some constant c
In order for this equation to be satisfied when (x, y) = (4, 6), the value of the constant must match the x-coordinate of the point.
The equation is x = 4.
The length of each side is quadrupled. How many times larger is the new area when compared to the original?
2 times
8 times
4 times
16 times
16 times larger is the new area when compared to the original.
Given that, the length of each side of the square is quadrupled.
We need to find how many times larger is the new area when compared to the original.
What is the area of a square?A square is a closed two-dimensional shape with four equal sides and four equal angles. The four sides of the square form the four angles at the vertices. The sum of the total length of the sides of a square is its perimeter, and the total space occupied by the shape is the area of the square. The formula to calculate the area of a square is a².
Let the length of each side of the square be x.
Then the length of each side of the new square will be 4x.
Now, the area of the original square = x²
The area of the new square = (4x)² = 16x²
So, the new square = 16 × the original square
Therefore, 16 times larger is the new area when compared to the original.
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In Buffalo, New York, the temperature was -14°F in the morning. If the temperature dropped 7°F, what is the temperature now?
-7 degrees
-21 degrees
7 degrees
21 degrees
Answer:
-21 degrees
Step-by-step explanation:
-14 - 7 = 21
gloria has a lunch account in the school cafeteria. the balance, f(x), in her account can be represented by the function f(x)
The given function is an equation describing the expenses of Gloria at her school cafeteria: She has 40 dollars in total and spends 2.75 dollars for each meal; 40 - 2.75x is the new function of linear equation.
What is a linear equation?Linear equations refer to the equations that involve two or more variables in the form of "ax + b".
Now,
Given: The expenses of Gloria at her school cafeteria is given by the linear equation: 40 - 1.5x, where x = number of meals purchased.
To find: The relation when 1.50 changes to 2.75.
Finding:
AS given in the question, 40 - 1.50(x) represents the money spent by Gloria in her school cafeteria, where:40 represents the total money she has.1.50 represents the money spent on each meal by her.x represents the number of meals.If 1.50 changes to 2.75, it means that the cost of her meal increased from 1.50 to 2.75, by 1.25 dollars. Further, it means that her expenses have increased now and that her total money will now be spent earlier than what would have been spent if she spent 1.50 dollars on each meal.The new relation will be given by the linear equation: 40 - 2.75x.Hence, The given function is an equation describing the expenses of Gloria at her school cafeteria: She has 40 dollars in total and spends 2.75 dollars for each meal; 40 - 2.75x is the new function of linear equation.
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(COMPLETE QUESTION:
Gloria has a lunch account in the school cafeteria. The balance, f(x), in her account can be represented by the function f(x) = –1.50x + 40, where x is the number of meals purchased. Suppose –1.50 changed to –2.75. What does this mean in the context of the problem?)
Sharon packs apples into bags. if she packs 6 apples in each bag, she will have 3 apples left. if she packs 7 apples in a bag, she will be four apples short. how many bags does she have? how many apples does she have?
The total number of bags Sharon have is 7 and the total number of apples Sharon have is 45.
Let total number of bags = x
Let total number of apples Sharon has = y
If she packs 6 apples in each bag, she will have 3 apples left. So, mathematically we can write
6x + 3 = y equation 1
If she packs 7 apples in a bag, she will be four apples short. So, mathematically we can write
7x - 4 = y equation 2
On subtracting equation 1 from equation 2 , we get
x - 7 = 0
⇒ x = 7
Substitute x = 7 in equation 1 , we get
6 ( 7 ) + 3 = y
⇒ y = 45
The total number of bags Sharon have is 7 and the total number of apples Sharon have is 45.
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An electrician charges $24 per hour and $36 for each hour of overtime. for a job, the electrician works 8 regular hours and overtime hours. he also charges $202 for materials. the total amount of the bill for the job is $538. how many overtime hours did the electrician work?
The number of overtime hours done by electrician, as found by unitary method, is 4.
What is unitary method?A single unit's value can be determined from the values of multiple units, and multiple units' values can be determined from the values of single units using the unitary method.
Now,
Given:
Charge per hour = $24Charge per overtime hour = $36Number of regular hours = 8Charge of materials = $202Total amount of bill = $538To find: Number of Overtime hours
FInding:
Let the number of overtime hours be 'x'.
By unitary method, Charge of 1 regular hour = $24
Charge of 8 regular hours = $24(8) = $192
Again, by unitary method, Charge of 1 overtime hour = $36
Charge of x overtime hours = $36(x)
Cost of Materials = $202
Now, total bill = sum of all the expenses
=> 538 = 192 + 36x + 202
=> 538 - 294 = 36x
=> 144 = 36x
=> 4 = x
Hence, the number of overtime hours as found by unitary method is 4.
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