Answer:
The rate of travel is 105.6 feet per second, so 211.2 feet could be travelled in 2 seconds.
Step-by-step explanation:
If you take 5280 times 72 it equals 380160 which is the total amount of feet travelled in an hour so you divide it by 60 giving you 6336 which is the total feet travelled in 1 minute and you divide it 1 more time to get 105.6 which is the total feet travelled in 1 second. Hope this helps!
expand and simplify (3x-1)(x-3)
Following are simplifications to the given expression:
Given:
[tex]\bold{(3x-1)(x-3)}[/tex]
To find:
simplify=?
Solution:
[tex]\to \bold{(3x-1)(x-3)}\\\\\to \bold{(3x^2-9x-x+3)}\\\\\to \bold{(3x^2-10x+3)}\\\\[/tex]
Therefore, the final answer is "[tex]\bold{3x^2-10+3}[/tex]".
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Let f(x) = 3x + 7.
Find f '(x).
The inverse of f(x) is when you switch the position of the x's and y's (or f(x))
x=3y+7, and then isolate the y so you get a normal function
(x-7)/3
Can someone help me with this?!
Answer:
1) measure angle T= 72, measure angle U=54
2)measure angle M=76, measure angle N=76
3)EF= 18 inches, measure angle F=134
4)measure angle P,Q,R= 60
Step-by-step explanation:
Write an equivalent expression for 6(3g + 2) - 2g. Simplify the expression.
Answer:
16g + 12
Step-by-step explanation:
6(3g + 2) - 2g
18g + 12 - 2g
16g + 12
Factor the Trinomial 6x^2 -23x +20
(And please show the work/steps.)
Step-by-step explanation:
6x²-23x+20
=>6x²-8x-15x+20
=>2x(3x-4)-5(3x-4)
=>(3x-4)(2x-5)
hope this helps you.
Step-by-step explanation:
the answer is in the image above
A human hair is approximately 40 microns (um) wide. If 1 um is equal to 10
-6
meters (m),
and 1 nanometer (nm) is equal to 10-9m, then how many nanometers wide is a human hair?
A
0.0004 nm
B
0.004 nm
C
4,000 nm
D
40,000 nm
Answer:
D 40,000nm
Step-by-step explanation: 1nm/10^-9m * 10^-6/1um = 10^3 nm/um
Therefore in 40 microns there are:
40um * 10^3 nm/um = 40 * 10^3 nm = 40,000 nm
The human hair is 40,000 nanometers wide.
Option D is the correct answer.
Given,
A human hair is approximately 40 microns (um) wide.
1 um is equal to [tex]10^{-6}[/tex] meters (m)
1 nanometer (nm) is equal to [tex]10^{-9}[/tex] m.
We need to find how many nanometers wide is human hair.
How do we add exponents?We can add the exponents if we have the same base.
Example:
a² x a³ = [tex]a^{(2+3)}[/tex] = [tex]a^{5}[/tex]
[tex]a^{-2}[/tex] x [tex]a^{-3}[/tex] = [tex]a^{(-2 +( -3))}[/tex] = [tex]a^{-5}[/tex]
We have,
Human hair = 40 microns (um) wide.
And,
1 um = [tex]10^{-6}[/tex] m
1 nm = [tex]10^{-9}[/tex] m
[tex]10^{-9}[/tex] m = 1 nm
Multiplying by 10³ on both sides.
[tex]10^{-9}[/tex] x 10³ = 10³ nm
[tex]10^{(-9+3)}[/tex] = 10³ nm
[tex]10^{-6}[/tex] m = 10³ nm
1 um = [tex]10^{-6}[/tex]m
1 um = 10³ nm
Human hair = 40 um
1 um = 10³ nm
Multiplying 40 on both sides.
40 x 1 um = 40 x 10³ nm
40 um = 40 x 1000 nm
40 um = 40,000 nm
Thus human hair is 40,000 nanometers wide.
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Pls help me !!!!!! With question number one
1. Angelica is five years less than double Jaheim’s age . Jaheim is 14years old . How many years old is Angelica
Answer:
23
Step-by-step explanation:
14x2=28-5=23
Answer:
23
Step-by-step explanation:
add 14+14= 28-5=23
how do you find common multiples and factors explain
Answer:
We can find the common multiples of two or more numbers by listing the multiples of each number and then finding their common multiples. For example, to find the common multiples of 3 and 4, we list their multiples and then find their common multiples. Multiples of 3: 3, 6, 9, 12, 15, 18, 21, 24, 27, 30, 33, 36, ...
Solve the following quadratic equation.
d²-5d+6=0
Answer:
[tex]d=2[/tex] and [tex]d=3[/tex]
Step-by-step explanation:
[tex]d^2-5d+6=0[/tex]
[tex](d-2)(d-3)=0[/tex]
[tex]d=2[/tex] and [tex]d=3[/tex]
At a movie theater, there were 7 kids
for every 2 adults. If kids tickets cost $5
and adult tickets cost $8, how much
money did the theater make if there
were 54 people in the theater?
Answer:
$306
Step-by-step explanation:
Adult cost = no of adult × adult cost
no of adult = 12
adult tickets cost = $8
= 12 x $8
= $96
kids cost = no of kids x kids tickets cost
no of kids = 42
kids tickets cost = $5
= 42 x $5
= $210
total sales for the theatre =$96 +$210
= $306
Can the sides of a triangle have lengths 3, 3, and 9?
Answer:
No, the sum of the lengths of ANY 2 sides must be greater than the lengths of this 3rd side.
Step-by-step explanation:
Solve the following equation: -5 = 15x
Answer:
x=-3.33
Step-by-step explanation:
-5=15x
x=-5/15
x=-3.33
Answer:
x=negative [tex]\frac{1}{3}[/tex]
Step-by-step explanation:
15x=-5
\frac{15x}{15}=\frac{-5}{15}
x=-\frac{1}{3}
which is the correct simplification:
giving brainliest
Answer:
The answer is letter E.........
Answer:
Step-by-step explanation:
Is each number correctly expressed in scientific notation? Choose Yes or No.
Number Scientific Notation
4,836,000,000 4.836 × 106
Choose...
0.0000005812 5.812 × 10–7
Choose...
546,000,000,000 5.46 × 1011
Choose...
Answer:
NoYesYesStep-by-step explanation:
The first one is incorrect because would be 4,836,000 instead of 4,836,000,000. The correct notion would be [tex]4.836*10^9[/tex]
please help me .. thank you
Hello BinibiningDel!
[tex] \huge \boxed{\mathbb{QUESTION} \downarrow}[/tex]
Fill in the blanks.[tex] \large \boxed{\mathfrak{Answer \: with \: Explanation} \downarrow}[/tex]
The process of finding the factors of a polynomial is known as factoring.The factor that appears repeatedly in each term is known as the common factor.A trinomial is an algebraic expression with three terms.The constant term is definite in value.6mn - 9m = 3m (2n - 3). The greatest common factor is 3m.A polynomial doesn't have a fractional exponent.[tex]\boxed{\bold{\dfrac{y^{2} - 3y + 3}{5y}}}[/tex] is a polynomial.A rational algebraic expression comes in the form of p/q where p & q are polynomials.[tex]\boxed{\bold{\dfrac{y^{2} - 3y + 3}{5y}}}[/tex] is a rational algebraic expression.[tex]\boxed{\bold{\dfrac{3x}{x+4}}}[/tex] is the rational algebraic expression written in the simplest form.__________________
Hope it'll help you!
ℓu¢αzz ッ
4. Isoke's salary in 2015 is $30 000 per year. Every year her salary
is increased by 5%.
In 2016 her salary will be
30 000 x 1.05 = $31 500
In 2017 her salary will be 30 000 x 1.05 X 1.05 = $33075
In 2018 her salary will be 30 000 x 1.05 x 1.05 x 1.05 = $34728.75
And so on.
a). What will her salary be in 2019?
b) What will her salary be in 2021?
Answer:
in 2019, $36 465.19
in 2021, $40 202.87
Step-by-step explanation:
2015 is $30 000 per year
if it is increased by 5% every year
then,
in 2019, her salary will be $30 000 x (1.05)^4 = $36 465.19
in 2021, her salary will be $30 000 x (1.05)^6 = $40 202.87
When considering order of operations (PEMDAS), addition will ALWAYS come before subtraction.
True
False
Parenthises
Exponent
Multiply
Divide
Add
Subtract
The answer is true because it comes before subtraction in the phrase PEMDAS.
Answer:
true
Step-by-step explanation:
please
excuse
my
dear
aunt
sally
aunt is the addition while sally is subtraction therefore it is true hope this helps!! :D
Find the area and perimeter of
the parallelogram:
17ft
12ft
15ft
Step-by-step explanation:
The area = base × height
= 12 × 17 = 204
the perimeter = 2(17 + 15) = 2 × 32 = 64
please give me a brainliest answer
What type of polynomial is P(x)=x3−1?
A. cubic
B. quintic
C. linear
D. quartic
Answer:
A.
Step-by-step explanation:
Cubic because the highest exponent is 3.
The classification of the polynomial P(x) = x^3−1 by degree is; Cubic. Hence, option A is correct.
What are polynomials forms?Generally, polynomials take the form,
P(x) = ax^n + bx^(n-1) + cx^(n-2).... + z
where:
a, b....= arbitrary constants
x = variable
n = highest power of the variable in the polynomial
The given polynomial is P(x) = x^3−1
The classification of the polynomial P(x) = x^3−1 by degree is; Cubic.
Cubic function is one that has the highest exponent is 3.
Hence, option A is correct.
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Enola bought snacks for her team's practice. She bought a bag of oranges for $2.06 and a 3-pack of juice bottles. The total cost before tax was $5.06. Write and solve an equation which can be used to determine xx, how much each bottle of juice costs.
equation: 3x + 2.06 = 5.06
x = 1
Step-by-step explanation:
The cost of each bottle is $1.
What is Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given:
Enola bought a bag of oranges for $2.06 and a 3-pack of juice bottles.
The total cost before tax was $5.06.
let the cost of one juice bottle be x.
So, the equation is
2.06 + 3x = 5.06
3x = 5.06 - 2.06
3x= 3
x= 1
Hence, the cost of each bottle is $1.
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HELP GRAPH THE LINE THAT REPRESENTS THIS EQUATION
y +2 = 1/2(x +2)
Answer:
Step-by-step explanation:
Sau một thời gian sử dụng, một tủ sách nghệ thuật đã có dấu hiệu bị xuống cấp và
cần sửa lại (xem hình vẽ). Các ngăn BC, DE và FG gỗ bị
mục và cần thay mới. Chủ nhà sách cần 3 miếng ván sao
cho khớp với các vị trí này. Em hãy giúp chủ nhà sách
tính toán chiều dài các miếng ván này sao cho khớp với
các vị trí cần thay thế. Biết ngăn HI=12 dm. Tính chiều
dài các ngăn BC;DE;FG
Answer:
Step-by-step explanation:
In football, the path that a defender must run to tackle the ball carrier is called the path of pursuit. If the ball carrier runs 40 yards to the end zone and the path of pursuit is 45 yards, how far apart were the ball carrier and defender when they started? Answer with appropriate precision. (Hint: Use the Pythagorean Theorem.)
Answer:
Step-by-step explanation:
The ball carrier and defender were 20.62 ft apart
Let the path the ball carrier runs = x and y = path of pursuit and L = distance between defender and ball carrier when they started.
x, L and y form a right angled triangle with y being the hypotenuse side of the triangle.
From Pythagoras' theorem,
x² + L² = y²
So, L² = y² - x²
L = √(y² - x²)
Since x = 40 yards and y = 45 yards,
#substituting the values of the variables into the equation, we have
L = √(y² - x²)
L = √(45² - 40²)
L = √(2025 - 1600)
L = √425
L = 20.62 ft
So, the ball carrier and defender were 20.62 ft apart
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Pls help!!! Will mark brainliest!! links will be reported.
I hope this is the right answer and if it's not then my apologies.
And sorry it took so long.
For how many shoe strings will Toby and Marie have the same amount of money in the account? Must show your work by making a table or solving algebraically by setting the equations equal to each other.
Answer:
we need more information to solve your problem.
Step-by-step explanation:
Correct=Brainlest Evaluate (-4-0.7-1)÷-4 Convert into a decimal
Answer:(-4 - 0.7 - 1)÷-4 = 57/40 = 1 17/40 = 1.425
Spelled result in words is fifty-seven fortieths (or one and seventeen fortieths).
How do you solve fractions step by step?
Conversion a decimal number to a fraction: 0.7 = 7/10 = 7/10
a) Write down the decimal 0.7 divided by 1: 0.7 = 0.7/1
b) Multiply both top and bottom by 10 for every number after the decimal point. (For example, if there are two numbers after the decimal point, then use 100, if there are three then use 1000, etc.)
0.7/1 = 7/10
Note: 7/10 is called a decimal fraction.
c) Simplify and reduce the fraction
7/10 = 7 * 1/10 * 1 = 7 * 1/10 * 1
Subtract: -4 - 0.7 = -4/1 - 7/10 = -4 · 10/1 · 10 - 7/10 = -40/10 - 7/10 = -40 - 7/10 = -47/10
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(1, 10) = 10. In practice, it is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 1 × 10 = 10. In the following intermediate step, the fraction result cannot be further simplified by canceling.
In other words - minus four minus seven tenths = minus forty-seven tenths.
Subtract: the result of step No. 2 - 1 = -47/10 - 1 = -47/10 - 1/1 = -47/10 - 1 · 10/1 · 10 = -47/10 - 10/10 = -47 - 10/10 = -57/10
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(10, 1) = 10. In practice, it is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 10 × 1 = 10. In the following intermediate step, the fraction result cannot be further simplified by canceling.
In other words - minus forty-seven tenths minus one = minus fifty-seven tenths.
Divide: the result of step No. 3 : (-4) = -57/10 : (-4) = -57/10 · -1/4 = -57 · (-1)/10 · 4 = 57/40
Dividing two fractions is the same as multiplying the first fraction by the reciprocal value of the second fraction. The first sub-step is to find the reciprocal (reverse the numerator and denominator, reciprocal of -4/1 is 1/-4) of the second fraction. Next, multiply the two numerators. Then, multiply the two denominators. In the following intermediate step, the fraction result cannot be further simplified by canceling.
In other words - minus fifty-seven tenths divided by minus four = fifty-seven fortieths.
Vickie was born on this day in 1981. Including leap years, how many seconds old is Vickie?
Answer:
Vickie is about 1,256,428,800 seconds old.
Step-by-step explanation:
1 year = about 31,536,000 seconds
2021 - 1981 = 40
39 × 31,536,000 = 1,229,904,000 (total 365-day years in seconds discluding this year)
____________________________________________
Now, add the leap days.
Since 1981, there has been 10 leap years, meaning 10 leap days.
1 leap day = about 86,400 seconds
86,400 × 10 = 864,000 (total leap day seconds)
____________________________________________
Today is 10/24/2021, so it is the 297th day of the year.
1 day = exactly 86,400 seconds
297 × 86,400 = 25,660,800 (total seconds this year)
____________________________________________
Add all values to get the total amount of seconds.
1,229,904,000 + 864,000 + 25,660,800 = 1,256,428,800 (total seconds of how old is Vickie)
Solve this equation. 3(x−9)>3x+6
Answer:
No solution
Step-by-step explanation:
There are no values of x that make the inequality true.
Relationship B has a greater rate than Relationship A. This graph represents Relationship A.
Which equations could represent Relationship B?
Select each correct answer.
y = 0.6x
y=23x
y=14x
y=34x
First-quadrant graph showing a ray from the origin through the points begin ordered pair 4 comma 2 end ordered pair and begin ordered pair 8 comma 4 end ordered pair.
Answer:
y = 0.6x
Step-by-step explanation:
Look what happens as we move from point (4, 2) to point (8, 4). The x coordinate increases by 4 and the y coordinate by 2. Thus, the slope of the line representing Relationship A is m = rise / run = 2/4, or 0.5.
The only one of the four possible answers that could be correct is y = 0.6x, which has a greater rate (slope) than does the given line (m = 0.5).
Answer: 0.6
2/3
3/4
I took the test and got those as my answer. Btw here's the image for proof :)
I need help with my math, please?
Answer:
Step-by-step explanation: