Answer:
Ten billion
Step-by-step explanation:
There would around 16×10⁻¹⁰ ants to wrap around the earth.
What is circumference?Circumference is the distance around a circle., basically it is the perimeter of the circle.
Given that, an average sized ant is about 4×10⁻³ meter long the circumference of the earth is about 4×10⁻⁷ meters, we are asked to find the number of ants that would it take to wrap around earth,
To find the same, we will multiply the size of ants to the circumference of the earth,
So, 4×10⁻³ × 4×10⁻⁷
= 16×10⁻¹⁰
Hence, there would around 16×10⁻¹⁰ ants to wrap around the earth.
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What are the terms in the expression, 2 + 6 + 10b - 8a?
a. 2, 6, 10b, and 8a.
b. 2, 6 , 10b, and -8a.
c. 2 + 6 and 10b - 8a.
Answer:
B
Step-by-step explanation:
Option b is our correct answer.
2, 6 , 10b, and -8a.
Given,
2 + 6 + 10b - 8a
We need to find the terms in the expression.
What are terms in an expression?Every expression is made of terms.
Example:
ax² + bx + c + d
ax², bx, c and d are the four terms that make the expression.
Example:
ax² - bx - c - d
ax², - bx, - c and - d are the terms in the expression.
Remember to take the sign along with the terms.
Find the terms in the expression.
We have,
2 + 6 + 10b - 8a
2 - one expression
6 - one expression
10b - one expression
-8a - one expression
Thus,
Option b is our correct answer.
2, 6 , 10b, and -8a.
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Given the function: f(x) = x2 – 2x How can you restrict the domain so that f(x) has an inverse? What is the equation of the inverse function?
Answer:
B
Step-by-step explanation:
got it right on edge
The domain restriction is x ≥ 1 and inverse function is f⁻¹(x) = 1+√(x+1)
What is Inverse of Function?An inverse function is a function that returns the original value for which a function has given the output. If f(x) is a function which gives output y, then the inverse function of y, i.e. f-1(y) will return the value x.
Given:
f(x) = x² – 2x
We can find the inverse function by solving for y:
x = f(y)
x = y² -2y
x +1 = y² -2y +1
x +1 = (y -1)²
√(x +1) = y -1
1 +√(x +1) = y
So, the inverse function is
[tex]f^{-1}[/tex](x) = 1 +√(x +1)
Thus, the minimum value of x for which the original function has this as an inverse is 1.
So, The domain restriction is x ≥ 1 and inverse function is f⁻¹(x) = 1+√(x+1)
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Which defines a circle geometry
Answer:
a circle is the locus of all points equidistant from a central point
Why does the number 26 not belong with 17, 26, 44 & 65?
Answer & Step-by-step explanation:
This is what is called an arithmetic sequence. An arithmetic sequence adds the same number every time. If we take and subtract the 3rd term from the 4th term, we get 21. However, when we subtract 17 from 26 or 26 from 44, we get 9 and 18 respectively, which is not in keeping with the sequence.
___________________________________________________I AM ALWAYS HAPPY TO HELP :)match with the appropiate property:
Answer:
inverse property of multiplicationStep-by-step explanation:
(5)(1/5)=1
Answer: inverse property of multiplication
Step-by-step explanation:
You need to know about the idea of reciprocal numbers. Reciprocal numbers are numbers that multiplied together to get 1 which is also called inverse. This means one number will be itself, and it's reciprocal will be the denominator of a fraction that has 1 as the numerator
If you come across question like [the reciprocal of a] = 1/aSince 1/5 is the reciprocal of 5, and they are multiplied together to get 1. This will be the inverse property of multiplication.
F(4)= If g(x)=2,x=.??
Answer:
f(4) = -10
x = 0
Step-by-step explanation:
From the graph attached,
For x = 4,
Value of the function will be,
f(4) = y value at x = 4
f(4) = -10
Similarly, for y = g(x) = 2,
x value of the function will be,
x = 0
For which g(0) = 2
Therefore, for x = 0 value of the function will be 2.
g(0) = 2
Answer:
f(4) = -10
Step-by-step explanation:
Simply the expression 3(2x+5)
Answer:
6x+15
Step-by-step explanation:
(3) (2x+5)
(3) (2x) + (3) (5)
5(2x - 8) = 90
A.5
B.10
C.13
D.15
Answer:
13
Step-by-step explanation:
5 (2x - 8) = 90
5 × 2x - 8 = 90
2x - 8 = 90 ÷ 5
2x - 8 = 18
2x = 18 + 8
2x = 26
2x/2 = 26/2
x = 13
13 is the answer to the question.
9k - 12 - 8k + 10 - 5k Please help and go fast I have limited time
Answer:
-4k-2
Step-by-step explanation:
Write the steps to "undo" the equation to solve for x and then give the value of x that
solves the equation.
2 = (x - 4)^3
X = ?
Answer:
[tex]x=\sqrt[3]{2}+4[/tex]
Step-by-step explanation:
To "undo" this equation, we need to solve for x.
We begin with the equation
[tex]2=(x-4)^3[/tex]
To remove the cube, we need to take the cubic root of both sides
[tex]\sqrt[3]{2} =\sqrt[3]{(x-4)^3} \\\\\sqrt[3]{2} =x-4[/tex]
And the last step to solve for x will be to add 4 to each side
[tex]\sqrt[3]{2} +4=x-4+4\\\\\sqrt[3]{2} +4=x[/tex]
And there is our value for x
I don't understand how to solve this, please help!
Answer:
x+1 , x<-1
x²-bx-4 , -1≤x≤4
1/2 x +a
substitute x=-1 , continuous everywhere
x+1=x²-bx-4 when x=-1
-1+1=-1²-b-4
1+b-4=0 ⇒ +b-3 ⇒ b=3then for :
x²-bx-4=1/2 x +a for x=4
4²-4b-4=1/2x+a
16-4(3)-4=4/2+a
16-12-4-2=a
a=-2the equations will be :
x+1
x²-3x-4
1/2x-2
I hope this help
On a train the ratio of children to adults is 7:4 If there are 63 children on the train how many adults are on the train
Answer:
let the number of children and adult be 7x and 4x
as per question
7x=63
x=63/7=9
no. of adult= 4x= 4*9=36
Step-by-step explanation:
two numbers are in a ratio 2:3 and their sum is 35.find the numbers
Answer:
14 and 21 is the answer
Step-by-step explanation:
Hope it is helpful for you
please follow me
and mark me as a brainest
Answer:
[tex] \boxed{ \boxed{ \huge{ \boxed{ \sf{ \: 14 \: and \: 21}}}}}[/tex]
Step-by-step explanation:
Let the numbers be 2x and 3x
Let's create an equation
[tex] \sf{2x + 3x = 35}[/tex]
Solve for x.
Collect like terms
[tex] \dashrightarrow{ \sf{5x = 35}}[/tex]
Divide both side by 5
[tex] \dashrightarrow{ \sf{ \frac{5x}{5} = \frac{35}{5} }}[/tex]
Calculate
[tex] \dashrightarrow{ \sf{x = 7}}[/tex]
The value of x is 7.
Now, replacing the value of x in order to find the two numbers :
[tex] \dashrightarrow{ \sf{2x = 2 \times 7 = 14}}[/tex]
[tex] \dashrightarrow{ \sf{3x = 3 \times 7 = 21}}[/tex]
The numbers are : 14 and 21
Hope I helped!
Best regards! :D
18= 5r +-3 (p+9)
How do I solve this
Remove the parentheses, Move the terms, Calculate, Divide both sides, write in parametric form.
Answer should be r = 3/5p + 9, pER
How can you use a number line to find the sum of -4 and 6?
Answer:
see explanation for number line\ $29$
Step-by-step explanation:
this is the answer guys.
the original recipe called for 3/8 cup of blueberries what is the ratio of blueberries to butter in the recipe? how many cups of blueberries are needed in the new enlarged mixture?
i'll mark the brainlest!!!
Answer:
If the recipe calls for 5/8 cup of butter, the ratio would be 3:5 (blueberries to butter), if the recipe was enlarged you can use the same method and find out the new ratio
Write an English phrase that would translate into the following mathematical expression.
8(2-6)
Which of the following is equivalent to the expression 8(z - 6)??
Answer:
B. 8 times the difference of a number z and 6
Step-by-step explanation:
Order of Operations: BPEMDAS
Step 1: Translate (z - 6)
z = a number z
- = difference
6 = six
(z - 6) = The difference between a number z and 6
Step 2: Translate 8(z - 6)
(z - 6) = The difference between a number z and 6
Since we are distributing the 8, we are multiplying.
8 times the difference of a number z and 6
5th GRADE MATH! Select the statement that correctly compares two numbers. A. 6,092 > 6,092.001 B. 6,197.02 > 6,197.2 .C 6,232.01 = 6,232.1 D. 6,365.1 < 6,365.999
Answer:
D is correct
Step-by-step explanation:
A is incorrect because the lesser than is .001 higher
B is wrong since is .18 higher
C is wrong because its not equalone is .9 higher
Answer:
D
Step-by-step explanation:
6365.1<6365.999
Thomas planted a seed and measured the height of the stem each week for four weeks.
• The stem grew 1 inch in the first week
•The stem grew 2 inches each week after the first week.
Which graph represents the growth of this plant?
HW HELP! Will mark you BRAINLIEST!!
Answer:
16. DF = - 1-(-4) = 3
17. DE = -1/1/3 -(-4)
= - 5/3 + 12/3
= 7 / 3
18. FG = 2-(-1) = 3
19. FH = 3.5 - (-1) = 4.5
20. GH = 3.5 - 2 = 1.5
21. EH = 3.5 -(-1.5) = 5
22. AC = 16
3x + 7 = 16
x = 3
23. AB = x +7
= 10
24. BD = 2x + 3x - 1
=5(3) - 1
=14
25. CE = 3x - 1 + 2x + 3
=5x +2
=17
Find F(10) in father function f(x) =-2x+4
Need answers ASAP
Solve the literal equation for the given variable.
n = 4/5(m+7);m
Answer:
[tex]m = (5n/4) -7[/tex]
Step-by-step explanation:
[tex]n = 4/5(m + 7);m\\(5)n = 4(m + 7)\\5n/4 = m + 7\\m = (5n/4)/7[/tex]
Please help me solve all three of these..
Answer:
5: x=27 (Positive)
8: x=9 (9 positive not negative)
11: x=24 (Positive not negative)
Step-by-step explanation:
5: 9*3=27 so 27/9
8: 38+7=45 45/5=9 so x=9
11: 15-7=8 8*3=24, 24/3-15=-7 so x=24
Which phrase matches the algebraic expression below?
3(x + 7) + 10
Three times the sum of x and seven plus ten
Three times x plus the sum of seven and ten
Three times x minus seven plus ten
Three times the difference of x and seven plus ten
Answer:
Three times the sum of x and seven plus ten
Step-by-step explanation:
Three times= 3(times)
the sum of x and seven= x+7
plus 10= +10
In the figure below, B lies between A and C. Find the location of B so that AB is 1/8 of AC.
Answer:
-3
Step-by-step explanation:
first do -22-2= -24
then do 1/8 of -24= -3
Is the number 3,600−−−−−√ rational or irrational?
Answer:
It's Rational.
Step-by-step explanation:
A rational number is any integer, fraction, terminating decimal, or repeating decimal.
Please Help
The expression (y – 9)2 is equivalent to which expression. Simplify and write in standard form. Show your work.
Answer:
2y-18
Step-by-step explanation:
(y-9)2 -----Distributive property
2*y=2y
2*9=18
=2*y-2*9
=2y-18
Hope this helps ;) ❤❤❤
Answer:
yes
Step-by-step explanation:
What is the solution to this equation?
X- 15 = -6
A. x= -9
B. x = 21
C. x= -21
D. x = 9
Answer: [tex]x=9[/tex]
Add 15 to both sides
[tex]x-15+15=-6+15\\x=9[/tex]
Steps to solve:
x - 15 = -6
~Add 15 to both sides
x = 9
Best of Luck!
salma sang 4 songs each song was 5/8 minutes long for how much time did she sing in total?
Answer:
2 1/2 minutes
Step-by-step explanation:
5/8 + 5/8 + 5/8 + 5/8
20/8
2 and 4/8 minutes
a kit contains 600 letter tiles and 40 number tiles each tile has the same mass and the kit has a total mass of 2400 grams. what equation would represent this
Answer:
900
Step-by-step explanation: