Answer:
Prime factorization: 2x2x3x3x7
Exponential form: = 2^2 x 3^2 x 7
Step-by-step explanation:
The arithmetic sequence 2, 4, 6, 8, 10,. . . Represents the set of even natural numbers. What is the 100th even natural number? a100 = What is the sum of the first 100 even natural numbers? S100 = Complete the sentence below with less than, greater than, or equal to. The sum of the first 100 even natural numbers is the sum of the first 101 odd natural numbers.
The 100th even natural number is 200
Given the sequence 2, 4, 6, 8, 10....
The nth term of the sequence is expressed as:
Tn = a + (n - 1)d
a is the first term = 2
d is the common difference = 4 - 2 = 6 - 4 = 2
n is the number of terms
Substitute the given parameters into the formula
Tn = 2(n-1)2
Tn = 2+(2n - 2)
Tn = 2n
Get the 100th term
T10= 2(100) = 200
Hence the 100th even natural number is 200
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Answer:
1)
200
2)
10100
3)
less than
Step-by-step explanation:
on god
Which of these reasons would John not need to use in his proof
The graph of a quadratic function has y-intercept 10 and one of its x-intercepts is 1
Answer:
c = 10
Step-by-step explanation:
For quadratic
y = ax^2 +bx +c
the y-intercept is c.
c = 10
_____
The y-intercept is the value of y when x=0. Using x=0 reduces the equation to ...
y = c
Work out the midpoint A of the line segment B, where A(3,10) and B(5.8).
Answer:
Midpoint of (3,10) & (5,8) is (4,9)
Haley has 48 colored pencils and 3 cups (A, B, C). Cup A holds one more colored pencil than cup C. Cup B holds 2 more colored pencils than cup C. How many pencils does cup B contain?
Answer:
17 pencils
Step-by-step explanation:
Assume that cup C holds x pencils. In this case, cup A holds x + 1 pencils, and cup B holds x + 2 pencils. We know that all of the cups together hold 48 pencils. If we add what we got together, we would get x + x + 1 + x + 2 = 48. 2x + 1 + x + 2 = 48. 2x + x + 1 + 2 = 48. 3x + 1 + 2 = 48. 3x + 3 = 48. 3x = 48 - 3. 3x = 45. x = 45 / 3. x = 15. Now, we know that cup C holds 15 pencils, and from here, we can find the number of pencils in cup B by adding 2 to 15 and getting 17, and that would be your answer.
Tell me if I'm wrong :)
Answer:
12
Step-by-step explanation:
b)
Here is another number machine.
Input
Output
х
4x + 5
Answer:
collect like terms x=5-4=1
what is a ratio comparing two different units.
Answer:
A rate is a ratio that compares two different quantities that have different units of measure. A rate is a comparison that provides information such as dollars per hour, feet per second, miles per hour, and dollars per quart, for example.
Step-by-step explanation:
Your welcome
M*(x+y)+4y/(x^2-xy-y^2)=(x+2y)/(x^2-xy-Y^2),find the value of M
Answer: M = [tex]\frac{x-2y}{x+y}[/tex]
Step-by-step explanation:
[tex]\frac{M(x+y)+4y}{x^{2}-xy-y^{2} } =\frac{(x+2y)}{x^{2} -xy-y^{2} }[/tex]
M (x + y) + 4y = x + 2y (Multiply [tex]x^{2} - xy-y^{2}[/tex] in both sides)
M (x + y) = x + 2y - 4y
M (x + y) = x - 2y (Divide (x+y) from both sides)
M = [tex]\frac{x-2y}{x+y}[/tex]
Given that ∠3≅∠5 .
Which theorem proves that d∥e?
alternate exterior angles theorem
converse of the alternate interior angles theorem
converse of the alternate exterior angles theorem
alternate interior angles theorem
By alternate interior angles theorem ∠3≅∠5, d║e. Therefore, option D is the correct answer.
From the given figure ∠3≅∠5.
What are alternate angles?The alternate exterior angle theorem states that if two lines are parallel and are intersected by a transversal, then the alternate exterior angles are considered as congruent angles or angles of equal measure.
From the given figure, 46° + ∠3 =180°
⇒ ∠3 =134°
∠3 = ∠5 =134° (alternate interior angles)
By alternate interior angles theorem ∠3≅∠5, d║e. Therefore, option D is the correct answer.
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Help please just this I will mark someone's answer the brainliest if they answer correctly.
3. A library charges a late fee of $3.50 plus $0.15 per day that a book is returned late. B. Make an equation to find if the total fee if a book is 10,15,20, or 25 days late. Then graph the ordered pairs.
Answer:
a. f = 3.50 + 0.15d
b. please see the analysis
Explanation and graph given in the picture
I hope it helps.
Work out the circumference of this circle.
Take it to be 3.142 and write down all the digits given by your calculator.
10 cm.
Answer:
62.84
Step-by-step explanation:
pie=3.142
c=pie * diameter
r=10cm
d=2r
d=2(10)=20cm
c=3.142 * 20
c=62.84
Step-by-step explanation:
Formula for the Circumference of a circle = 2πr
C = 2πr
C = (2 * 3.142) * 10
C = 6.284 * 10
C = 62.84cm
if someone would me it would meaqn alott
Answer:
ration of bream to tench to carp
12: 7: 21
Step-by-step explanation:
12/40 = bream
28/40 = not bream
(28/40) x (1/4) = tench
(28/40) x (3/4) = carp
tench = (28/40) x (1/4)
= 7/40
carp = (28/40) x (3/4)
= 21/40
ration of bream to tench to carp
12: 7: 21
Answer:
12:7:21
Step-by-step explanation:
If you have 40 total, the non-bram are (40-12) = 28. One quarter of them, or 7 (since 7x4=28)are trench. It leaves 28-7= 21 carps. The total ratio is: 12:7:21. Since the three numbers are co-primes (ie, they don't share a divisor between all 3) there is no way to simplify the ratio (or, if you prefer, their sum, 40, is the minimum ammount of fishes you need to have a whole number of fishes in the pond).
Use the slope formula and state what is the slope of a line with the following two points: (-2, 7) and (8, -9)?
Answer:
m = -8/5
Step-by-step explanation:
[tex]m=\frac{-9-7}{8-(-2)} =\frac{-16}{10} =-\frac{8}{5}[/tex]
Hope this helps
can someone help me plsss
Answer:
c=23/24
Step-by-step explanation:
c+3/8=1/1/3
c+3/8=4/3
c+9/24=32/24
c=32/24-9/24
=23/24
Are the ratios 8:10 and 4:5 equivalent?
Answer:
yes the ratio are equivalent
Answer:
yes they are egivalent
Step-by-step explanation:
Which equation can be solved to find x, the measure of BD in the diagram
below?
C
53
AB
D
E
2330
O A. *- 53 = 233
B. }(233 + x) = 53
C. (233 - x) = 53
D. x+ 53 = 233
=
The value of x is equal to 127 degrees.
Data;
Outer angle = 233Inner angle = 53unknown angle = xAngle tangent to a circleTo find the angle x which is related to angle 233 to form the outer angle 53, the equation
[tex]\frac{1}{2} (233 - x) = 53[/tex]
We can proceed to solve for x by simplifying the equation which will give us
[tex]\frac{1}{2}(233-x) = 53\\2 * 53 = 233 - x\\106 = 233 - x\\x = 233 - 106\\x = 127^0[/tex]
The value of x is equal to 127 degrees.
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Answer:
Step-by-step explanation:
just took the quiz
When the function f(x) = 5•2x is evaluated for x = 3, the output is:
30.
20.
10.
None of the choices are correct.
Work out the equation of
the line that goes through
(3, 2) and (-1, 10)
Answer:
[tex]The\,\,equation\,\,will\,\,be\,\,2x+y=8[/tex]
Step-by-step explanation:
Let, A=(3,2)
B=(-1,10)
So, The equation will be
[tex]\frac{x-x_{1} }{x_{1} -x_{2} } =\frac{y-y_{1} }{y_{1} -y_{2} } \\=>\frac{x-3 }{3-(-1) } =\frac{y-2 }{2-10} \\=>\frac{x-3 }{4} =\frac{y-2 }{-8}\\=>-8x+24=4y-8\\=>8x+4y=32\\=>2x+y=8[/tex]
Hope you have understood this.....
ask me if you have any confusion.....
if you liked it pls mark it as the brainliest
Answer:
y = - 2x + 8
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (3, 2 ) and (x₂, y₂ ) = (- 1, 10 )
m = [tex]\frac{10-2}{-1-3}[/tex] = [tex]\frac{8}{-4}[/tex] = - 2 , then
y = - 2x + c ← is the partial equation
To find c substitute either of the 2 points into the partial equation
Using (3, 2 )
2 = - 6 + c ⇒ c = 2 + 6 = 8
y = - 2x + 8 ← equation of line
what are possible ratios for 16 to 32
Answer:
1:3
Step-by-step explanation:
To simplify the ratio 16:32, we find the greatest common divisor of 16 and 32, and then we divide 16 and 32 by the greatest common divisor.
The greatest common divisor that you can use to simplify 16:32 is 16. Which means the answer to ratio 16:32 simplified is: 1:2
Hope it helps
Is this a function?
Answer:
Yes
Step-by-step explanation:
Yes, the graph represents a function because it passes the vertical line test: Any vertical line drawn through this graph intersects this graph only once.
12 + (-4) - 2/5j - 4/5j + 5
Answer:
-6j+65/5
Step-by-step explanation:
PLEASE GIVE ME THE BRAINLIEST ANSWER
How to solve algebraic inequalities.
Algebraic inequalities can be solved in the same way in which algebraic equations are solved.
A painter checks a canvas to be sure it is rectangular. One of the canvas’ diagonals measures 48 inches. If the canvas is a rectangle, what is the measure, in inches, of the other diagonal?
A.)24
B.)12
C.)96
D.)48
Answer:
D)48
Step-by-step explanation:
How to find zeros of cubic polynomial.
Step-by-step explanation:
1. First divide by the leading term, making the polynomial monic.
2. Then, given x
2 + a1x + a0, substitute x = y − a1 to obtain an equation without the linear term.
(This is the “depressed” equation.)
3. Solve then for y as a square root. (Remember to use both signs of the square root.)
4. Once this is done, recover x using the fact that x = y − a1
a toy car costing 500.00 is reduced by 10% in the sale how much does it cost now?
After the 10% reduction in the price of the toy car, the car costs 450.
In order to determine the cost of the toy car after the price was reduced by 10%, the first step is to determine what 10% of $500 is.
10% x 500
0.1 x 500 = 50.
The second step is to subtract the value of the 10% price reduction from the original cost of the toy car.
500 - 50 = 450
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–
2.8,
–
2
1
4
, and
–
2.45 in order from least to greatest
Answer: -2.8, -2.45, -2, 1, and 4.
Step-by-step explanation:
Larger negatives go first so -2.8 is the largest and you continue using that method until 1 where the smaller number go first. Positives.
AABC-ADEF so if BC = 10, EF = 25 and AB = 20, then DE =
7.2.....................................
There are 18 girls and 12 boys on the swim team. What FRACTION of the team is made up of boys?
Answer:
12/30
Step-by-step explanation:
Hope this helps man. Have a GREAT day.
Sincerly, lipor
A 12/30 fraction of the team is made up of boys.
What is a fraction?A fraction is defined as part of a whole.
The total number of team members is
12+18=30
The number of boys on the team is 12.
Hence, the fraction of boys o the team is 12/30.
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Monica deposits $300 into a savings account that pays a simple interest rate of 3.9%. Paul deposits 400$ into a savings account that pays a simple interest rate of 3.2%. Monica says that she will earn more interest in 1 year because her interest rate is higher. Is she correct? Justify your response.
Answer:
For Monica : Principle = $300 rate : 3.4% time 1 yr
Simple interest = Prt/100 = 300*3.4*1/100 = 1020/100= $ 10.2
For Paul : Principle = $400 rate : 2.8% time 1 yr
Simple interest = Prt/100 = 400*2.8*1/100 = 1120/100= $ 11.2
Step-by-step explanation:
The area of the regular hexagon is 169. 74 ft2. A regular hexagon has an apothem with length 7 feet and an area of 169. 74 feet squared. What is the perimeter, rounded to the nearest tenth? 24. 2 ft 28. 3 ft 48. 5 ft 56. 8 ft.
The perimeter of the hexagon is the sum of its side lengths
The perimeter of the hexagon is 48.5 ft
The given parameters are:
[tex]\mathbf{Area = 169.74}[/tex] --- the area of the hexagon
[tex]\mathbf{a = 7}[/tex] -- the apothem
Let the perimeter of the hexagon be p.
So, the area is calculated as:
[tex]\mathbf{Area = \frac 12 pa}[/tex]
Substitute values for Area and (a)
[tex]\mathbf{169.74 = \frac 12 \times p \times 7}[/tex]
Multiply both sides by 2
[tex]\mathbf{339.48= p \times 7}[/tex]
Divide both sides by 7
[tex]\mathbf{48.5= p }[/tex]
Rewrite as:
[tex]\mathbf{p = 48.5}[/tex]
Hence, the perimeter of the hexagon is 48.5 ft
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