Answer:
The GCF (Greatest Common Factor) is the biggest factor common to both of these numbers, so we must determine the factors for each:
15--->1,15
3,5
20--->1,20
2,10
4,5
As we can see, 1 and 5 are the common factors and 5 is the biggest (greatest). Therefore, we can "pull" out a 5 from both numbers and get a resulting equation of:
15 + 20--->5(3 + 4)
Hope this helps!
Step-by-step explanation:
i need an explanation how to solve it
f(1) = -2
Step-by-step explanation:The relationship between x and y-values can be represented through a function.
Function Notation
Function notation is one way to write out an equation. In this notation, f(x) represents the y-value at a specified x-value. Thus, f(1) equals the y-value when x is 1. Many times f(x) will be replaced with variable y. So, another way to write the function above is y = -x - 1.
Solving For f(1)
To find f(1), plug 1 into the equation for x.
f(1) = -1 - 1Now, you can easily solve the equation.
f(1) = -2Proxima Centauri, the star nearest to our solar system, is 4.3 light-years away. Use the information below to express this distance in miles.
(a) A light-year, the distance that light travels in one year, is about 5,900,000,000,000 mi.
(b) The diameter of an electron is about 0.0000000000004 cm.
(c) A drop of water contains more than 33 billion billion molecules.
The distance of Proxima Centauri, which is 4.3 light years away can also be expressed in miles is equivalent to 253.7 x 10¹¹ miles from solar system.
What is Star?A star is an astronomical object comprising a luminous spheroid of plasma held together by its gravity. The nearest star to Earth is the Sun
Given that a star named Proxima Centauri is 4.3 light-years away. Therefore, we can write that -
Distance [D] = 4.3 light years
The Proxima Centauri is 4.3 light - years away. As given in the question that light-year is the distance that light travels in one year and 1 light year is equal to 5,900,000,000,000 miles. Therefore in 4.3 light years, there will be -
D [miles] = 4.3 x 59x 100,000,000,000 = 253.7 x 10¹¹ miles
Therefore, the Proxima Centauri is 253.7 x 10¹¹ miles away.
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Can someone please help me I’m doing ratios and proportions and I need it by 8 o’clock
Answer:
5 tomato and 14 pineapples
Devon wants to write
an equation for a line that passes
through 2 of the data points he has collected. The points
are (8, 5) and (-12, -9). He writes the
equation
7x 10y = 3. Is this a good model? Explain your
reasoning.
Answer: The equation given is not in slope-intercept form, which is y=mx+b. The equation for the line which passes through the given points is y = 7/10x - 3/5.
Select the best answer for the
7. What is the value of x in the diagram?
E
OA. 42°
OB. 64°
OC. 10°
OD. 20°
329 C
Answer:
10 degree will be the answer.. buddy..
750$ in 4 days unit rate
Find the distance between the two numbers on a number line. Write your answer as a mixed number - 1 1/3; 12 7/12
Multiply: 0.55(8, 000)
Answer:
4400
Step-by-step explanation:
to solve this we should first put them in an equation
0.55 * 8000
because there are 3 zeros after the second number we can first put three 0s
?000
then multiply 8 by 55
440
then add that to the 000
440000
now because the first number as 2 decimal points we take the invisible decimal point at the end and move it to the left two
440000. --> 4400.00
which is also
4,400
that is your answer
Find x. Sum of angle measures: 360
Answer:
126
Step-by-step explanation:
→ Find the sum of the angle
x + x - 35 + x - 46 + 0.5x = 3.5x - 81
→ Equate to 360
3.5x - 81 = 360
→ Add 81 to both sides
3.5x = 441
→ Divide both sides by 3.5
x = 126
NEED HELP ASAP WILL GIVE BRAINLIST!
If 8/9 is multiplied by 3/7, will the product be greater than either of the 2 factors?
Answer:
No, it is less than both of the fractions.
Step-by-step explanation:
Multiply the two fractions
[tex]\frac{8}{9}[/tex] x [tex]\frac{3}{7}[/tex] = 0.380952381
Figure out the value of the two fractions
[tex]\frac{8}{9}[/tex] = 0.8888888889
[tex]\frac{3}{7}[/tex] = 0.4285714286
Reduce/Simplify:
0.380952381 = 0.38
0.8888888889 = 0.89
0.4285714286 = 0.43
You put $205 into an investment at 7% compounded annually for eight years. What will the balance be at the end of eight years?
Answer:
If there is no additional contribution during these 8 years your balance will be $352.23
Step-by-step explanation:
Find the average rate of change on the interval [-3,3] for the given function
the slope goes by several names
• average rate of change
• rate of change
• deltaY over deltaX
• Δy over Δx
• rise over run
• gradient
• constant of proportionality
however, is the same cat wearing different costumes.
so let's use those two points off the curve in order to get it, check the picture below.
[tex](\stackrel{x_1}{-3}~,~\stackrel{y_1}{0})\qquad (\stackrel{x_2}{3}~,~\stackrel{y_2}{1}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{1}-\stackrel{y1}{0}}}{\underset{run} {\underset{x_2}{3}-\underset{x_1}{(-3)}}} \implies \cfrac{1}{3 +3}\implies {\LARGE \begin{array}{llll} \cfrac{1}{6} \end{array}}[/tex]
Solve the compound inequality and give your answer in interval notation.
7x - 3 < - 52 OR-5x - 2 < 28
Hence , on solving 7x - 3 < - 52 the value of x lies in interval (-∞ , 7) and on solving -5x - 2 < 28 the value of x lies in interval (-6 , ∞) .
Intervals are written with rectangular brackets or parentheses, and 2 numbers delimited with a comma. The 2 numbers are referred to as the endpoints of the interval. The amount on the left denotes the smallest amount part or boundary.We have given two inequalities 7x - 3 < - 52 and -5x - 2 < 28
On solving 7x - 3 < - 52 , we get
7x < 3 - 52
7x < 49
x < 7
Therefore, x could be any number less than 7.
In interval notation , it is given by (-∞ , 7) .
On solving -5x - 2 < 28 , we get
-5x < 2 + 28
-5x < 30
-x < 6
Multiplying by negative sign , inequality changes
x > -6
Therefore, x could be any greater than -6.
In interval notation , it is given by (-6 , ∞) .
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Given the following sets, find the set A' n (BUC')
U=(1, 2, 3,…,9}
A = {1, 5, 6, 7)
B={1, 2, 7)
C=(2, 3, 4, 6, 7}
From the given sets we get A’∩ (B∪C’) = {2,8,9}.
Given the universal set U= {1,2,3,4,5,6,7,8,9}
A = {1,5,6,7}
B = {1,2,7}
C= {2,3,4,6,7}
A’ (A not) means to remove all the elements of set A from the universal set U
A∪B (union of A and B) means to write all the elements of both the sets but to not repeat the single element
A∩B (intersection of A and B) means to write only the common elements of both the sets
A’ = {2,3,4,8,9}
C’ = {1,5,8,9}
First we need to find out B∪C’ which means the union of B and C’
B∪C’ = {1,2,5,7,8,9}
Now we need to find A’ (B∪C’) = {2,8,9}
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Evaluate (2 minus 5 i) (p + q) (i) when p = 2 and q = 5 i.
29 i
29 i minus 20
Negative 21 i
29
The value of the expression is 29
How to evaluate the expression?The expression is given as
(2 - 5i)(p + q)
Where
p = 2
q = 5i
Substitute these values in (2 - 5i)(p + q)
So, we have
(2 - 5i)(p + q) = (2 - 5i)(2 + 5i)
Apply the difference of two squares
(2 - 5i)(p + q) = 4 - (-25)
Evaluate the difference
(2 - 5i)(p + q) = 29
Hence, the value of the expression is 29
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The gravitational force (F ) felt by an object (m1) due to another object (m2) at a distance d is given by F = G m1m2/r2.
what is the value of r?
Based on the equation for gravitational force, the value of radius (r) is equal to r = √(GM₁M₂/F).
What is a gravitational force?A gravitational force can be defined as a universal force of attraction which acts between two (2) physical objects, especially by pulling them together.
How to calculate the gravitational force?Mathematically, the gravitational force between two (2) planetary objects is given by this formula:
F = GM₁M₂/r²
Where:
r represents the radius or mean distance.G represents the gravitational constant.M represents the mass.F represents the gravitational force.Making r the subject of formula, we have:
Fr² = GM₁M₂
Divide both sides by F, we have:
r² = GM₁M₂/F
Taking the square root of both sides, we have:
r = √(GM₁M₂/F)
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Could you please help me answer this step-by-step?
answer:
the solution is
Question 2
? Question
Match the real-world descriptions with the features they represent within the context of Melissa's garden.
Not all tiles will be used.
Tiles
length of the tomato patch when
the area of the bell pepper patch
Is 0
area of the bell pepper patch when
the length of the tomato patch is 0
all possible areas of the tomato
patch
area of the tomato patch when the
length of the bell pepper patch is 0
all possible areas of the bell pepper
patch
all possible lengths of the tomato
patch
y intercept - area of the bell pepper patch when the length of the tomato patch is 0. because y intercept when the value of x is 0.
Range - all possible areas of the tomato patch. because range is the value of all possible outcomes based on the set of input.
x intercept - area of the tomato patch when the length of the bell pepper patch is 0. because x intercept when the value of y is 0.
we plot as
y = area of bell pepper.
x = area of tomato patch.
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Which expression is equivalent to the quantity nine raised to the negative second power times three raised to the fifth power end quantity all raised to the negative second power?
A:negative three raised to the third power divided by nine raised to the fourth power
B:three raised to the third power divided by nine raised to the fourth power.
C:negative nine raised to the fourth power divided by three raised to the tenth power
D:nine raised to the fourth power divided by three raised to the tenth power
The simplification of the given indices is; D: nine raised to the fourth power divided by three raised to the tenth power
How to use the Law of Indices?We want to find the expression that is equivalent to the quantity nine raised to the negative second power times three raised to the fifth power end quantity all raised to the negative second power. This is written as;
(9⁻² * 3⁵)⁻²
According to laws of indices, we know that;
(a²)³ = a²*³ = a⁶
Thus;
(9⁻² * 3⁵)⁻² = (9⁻²)⁻² * (3⁵)⁻²
⇒ 9⁴ * 1/3¹⁰
⇒ 9⁴/3¹⁰
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How many hours are in a week
Answer: 168
Step-by-step explanation:
find the volume of the cylinder with 2 meters squared and height 10 meters
What would happen if you divide by 2/5 instead of 4/5
Answer:
2/5= 0.4 and 4/5= 0.8
Step-by-step explanation:
log(x(x^2 + 3)^−1/2)
= [tex]logx-{\frac{1}{2} log(x^2 + 3 )[/tex]
Step-by-step explanation:
Given that
The logarithmic equation[tex]log(x.(x^2 + 3 )^{\frac{-1}{2} })[/tex]
To find
The solution of this given logarithmic equationSo, according to the question
we have,
The logarithmic equation[tex]log(x.(x^2 + 3 )^{\frac{-1}{2} })[/tex]
We know that,
∵ log(m.n) = logm + logn
Now using this property to solve that logarithmic equation
= [tex]log(x.(x^2 + 3 )^{\frac{-1}{2} })[/tex]
= [tex]logx+log(x^2 + 3 )^{\frac{-1}{2} }[/tex]
We know that,
∵ log(mⁿ) = nlogm
Now using this property to solve that logarithmic equation
= [tex]logx+log(x^2 + 3 )^{\frac{-1}{2} }[/tex]
= [tex]logx+({\frac{-1}{2} )log(x^2 + 3 )[/tex]
= [tex]logx-{\frac{1}{2} log(x^2 + 3 )[/tex]
This is the the solution of given logarithmic equation.
Logarithmic equation.
The logarithm is exponentiation's opposite function in mathematics. This means that the exponent to which a fixed number, base b, must be raised in order to produce a given number x, is represented by the logarithm of that number. The logarithm, in its most basic form, counts the number of times the same factor appears when multiplied repeatedly; for instance, since 1000 = 10 x 10 x 10 = 103, its "logarithm base 10" is 3, or log10 (1000) = 3. When there is no possibility of confusion or when the base is irrelevant, as in big O notation, the logarithm of x to base a is written as logₐ (x), logₐ x, or even without the explicit base, log x.Answer:
= [tex]logx-{\frac{1}{2} log(x^2 + 3 )[/tex]To learn more about logarithmic equation, please click on the link:
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Please answer and help thank you
Answer:
25
62.5
1.25
hope this helps
Answer:
Step-by-step explanation:
$12.50=10b
so 20$=(20)10/12.5=16
50$=(50)10/12.5=40
1$=(1)10/12.5=0.8
a gardener makes a new circular flower bed the bed is 10 feet in diameter calculate the circumference and the area of the circular flower bed
The circumference and the area of the circular flower bed is 31.4285 feet and .
How to find the area of circular flower bed?The space a circle takes up in a two-dimensional plane is known as the area of the circle.
given that A gardener makes a new circular flower bed the bed is 10 feet in diameter.
so, the diameter of circular flower bed is 10 feet.
the radius of the circular flower bed is 5 feet.
Now find the circumference of the circular flower bed .
the circumference of Circle formula is
circumference (C) = 2πr
C = 2 X 22/7 X 5
C = 31.4285 feets.
so, 31.4285 feets is the circumference of the circular flower bed.
now, find the area of circular flower bed.
The area of the circle formula is
[tex]A = \pi \: {r}^{2} [/tex]
[tex]A = \frac{22}{7} \times {5}^{2} [/tex]
A = 78.5714 feets.
so, 78.5714 feets is the area of the circular flower bed.
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h(y) = -3y³ - 6y + 9
a. h(4)
b. h(-2y)
c. h(5b + 3)
Answer:
a. h(4) = -207
b. h(-2y) = 24y³ +12y +9
c. h(5b+3) = -375b³ -675b² -435b -90
Step-by-step explanation:
You want the simplified form of h(y) = -3y³ -6y +9 for using 3 different values of y.
The expression is evaluated by putting the argument where y is, then simplifying the resulting expression.
a. h(4)[tex]h(4)=-3(4)^3 -6(4) +9 = -3(64) -24 +9\\\\\boxed{h(4) = -207}[/tex]
b. h(-2y)[tex]h(-2y)=-3(-2y)^3-6(-2y)+9=-3(-8y^3+12y+9\\\\\boxed{h(-2y)=24y^3+12y+9}[/tex]
c. h(5b+3)[tex]h(5b+3)=-3(5b+3)^3-6(5b+3)+9=-3(125b^3+225b^2+135b +27) -30b-18+9\\\\\boxed{h(5b+3)=-375b^3-675b^2-435b-90}[/tex]
__
Additional comment
It can be useful to remember that ...
(a +b)³ = a³ +3a²b +3ab² +b³
El Cheapo Car Rentals Charge $5 daily to rent a compact car plus a mileage of $0.34 per mile.
- Write the linear equation that relates to the cost C to the miles driven M
The table below shows information about the distance walked by some hikers.
a) Work out the minimum number of hikers who could have walked between 6 miles and 17 miles.
b) Work out the maximum number of hikers who could have walked between 6 miles and 17 miles.
PLS HELP
a) the minimum number of hikers who could have walked between 6 miles and 17 miles is 9 as it lies in the common interval of 10 ≤ x ≤ 15.
b) the maximum number of hikers who could have walked between 6 miles and 17 miles is 19.
What is meant by minimum and maximum value?
When the derivative equals 0, rearrange the function using elementary algebraic principles to find the value for x. The x-coordinate of the function's vertex, which is where the maximum or lowest will occur, is provided in this answer. the solution back into the original function to determine the minimum or maximum.
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Please help me, I need it right now
