What does "nth term" mean?
Answer:
Step-by-step explanation:
nth term means an expression which allows us to find the term that is in the nth position in the sequence.
Hope this helps
plz mark as brainliest!!!!!!!!!
The 7-digit numbers in a given area code have the form ABC-XXXX, where X, B, and C can be any digit 1-9 and A is
restricted to 0-9. There are two other restrictions:
• B and C cannot both equal 1 since these values are designated for other purposes such as 911 (emergency)
and 411 (information), and
• 555-0100 through 555-0199 are reserved for fictional uses such as in television shows or movies.
According to these conditions, how many 7-digit numbers are possible in a single area
code?
Answer:
The number of 7-digit numbers are possible in a single area code is 5248600
Step-by-step explanation:
The given parameters are;
The number of digits in the area code = 7
The possible digits for X, B and C are 1 - 9 = 9 digits
The number of possible digits for A is 0 - 9 = 10 digits
Exceptions
1) B and C cannot both =
2) 555-0100 through 555-0199 are reserved for television or movies
Therefore, we have, the number of 7 digits numbers without exceptions = 10×9⁶ = 5314410 numbers
The number of the exceptions are
Exception 1) 10 × 1 × 1 × 9 × 9 × 9 × 9 = 65610 numbers
Exception 2) 555-0100 through 555-0199 = 0199 - 0100 = 200 numbers
The number of possible numbers = 5314410 - 65610 - 200 = 5248600
The number of 7-digit numbers are possible in a single area code = 5248600.
(2x+ 2) +(3 - 5x) 4.) (3x3 - 4x4) +(2x + 5x4)
Answer:
1. [tex] \boxed{ \bold{ \sf{ - 3x + 5}}}[/tex]
2. [tex] \boxed{ \bold{ \sf{ {x}^{4} + 3 {x}^{3} + 2x}}}[/tex]
Step-by-step explanation:
1. [tex] \sf{(2x + 2) + (3 - 5x)}[/tex]
When there is a ( + ) in front of expression in parentheses , the expression remains the same.
⇒[tex] \sf{2x + 2 + 3 - 5x}[/tex]
Collect like terms
⇒[tex] \sf{ - 3x + 2 + 3}[/tex]
Add the numbers
⇒[tex] \sf{ - 3x + 5}[/tex]
2. [tex] \sf{( {3x}^{3} - 4 {x}^{4} ) + (2x + 5 {x}^{4}) }[/tex]
When there is a ( + ) in front of expression in parantheses , the expression remains the same
⇒[tex] \sf{3 {x}^{3} - 4 {x}^{4} + 2x + {5x}^{4} }[/tex]
Collect like terms
⇒[tex] \sf{ {x}^{4} + 3 {x}^{3} + 2x}[/tex]
Hope I helped!
Best regards!!
Challenge!
-47 -2.5 = -2.5 - 1.7m - 2.3m
Answer:
47/4 or 11.75 = m
Step-by-step explanation:
-47 -2.5 = -2.5 - 1.7m - 2.3m
Combine like terms
-49.5 = -2.5 -4m
Add 2.5 to each side
-49.5 +2.5 = -2.5+2.5 -4m
-47 = -4m
Divide each side by -4
-47/-4 = -4m/-4
47/4 = m
11.75 = m
Which points are reflections of each other across both axes?
(–2, 8) and (2, –8)
(–7, –1) and (–7, 1)
(5, –6) and (–5, –6)
(4, –3) and (–3, 4)
Answer:
Hey there!
When reflecting across both axis, we switch up the signs but keep the order of the coordinates.
Thus, (-2, 8) and (2, -8) are reflections and (4, -3) and (-3, 4) are also reflections.
Let me know if this helps :)
What is the translation for this graph ! Help pls
Answer:
right 3 up 4
Step-by-step explanation:
Answer:
x+3, y+4
Step-by-step explanation:
how many ounces of water are equal to 3/4 cups of water
Answer:
6 ounces
Step-by-step explanation:
4 tablespoons 1/4 cup 2 fluid ounces
5 1/3 tablespoons 1/3 cup 2.7 fluid ounces
8 tablespoons 1/2 cup 4 fluid ounces
12 tablespoons 3/4 cup 6 fluid ounces
The solution is 6 fluid ounces
The value of 3/4 cups of water is given by the equation A = 6 fluid ounces
What is an 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.
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 data ,
Let the amount of water be represented as A
Let the number of cups of water be = 3/4 cups
Now ,
1/4 cups = 4 tablespoons = 2 fluid ounces
1/2 cups = 8 tablespoons = 4 fluid ounces
So , 3/4 = ( 1/2 ) + ( 1/4 )
And , Substituting the values in the equation , we get
3/4 cups = 12 tablespoons = 6 fluid ounces
Therefore , the value of A is 6 fluid ounces
Hence , the equation is A = 6 fluid ounces
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This is an example of
which type of drawing
in geometry?
A. A net
B. A perspective drawing
C. A 3 dimensional sketch
D. An orthographic drawing
Answer:
I'm going to go with B.
Step-by-step explanation:
but don't just take my answer bc I'm not 100% sure
The given figure is an example of an Orthographic drawing.
So the correct option is option D.
In Orthographic drawing, we represent several 2D views of an object to obtain a 2D object.
The most common views of Orthographic drawings are top, right, and front.
Though the figure mentioned in the question represents the top, right, and front part view and as per the definition of perspective drawing it is not flat, it cant be looked flat when opened which satisfies the definition of net so, the figure satisfies option 3.
Thus, the figure is an example of an Orthographic drawing.
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in the
fallowing AB llcD the value is equal to
60
75
45
30
Find the area of the shaded regions of the following figures. Will Give Brainliest!! Answer ASAP
Answer:
Rectangle 1 area: 53 units squared
Shape 2 area: 43.75 units squared
Step-by-step explanation:
Shape 1:
We need to find the area of the two triangles in this rectangle and subtract it from the total area of the rectangle.
Total area of the rectangle:
13 * 5 = 65
Area of triangles (they are congruent):
1/2 * 4 * 3 = 6
6 * 2 = 12
65 - 12 = 53
The area of the shaded part is 53 (I don't know what your unit of measurement is. Just say units.)
Shape 2:
First, let's find the area of the parallelogram at the top.
10 * 3 = 30
Now, let's find the area of the rest of the shape. Triangle first...
1/2 * 4 * 1.5 = 3
Now, the rectangle and the tiny triangle we can section out at the end:
7 * 1.5 = 10.5 + 1/4 (Triangle) or 0.25 = 10.75
Total area: 10.75 + 3 + 30 = 43.75
Move point B some more. As you move point B, the angle formed between and varies. If you want to make perpendicular to what do you need to do? Explain in terms of .
Answer:
To make AB perpendicular to CD move point B until the angle between the lines, BEC measures 90°.
Step-by-step explanation:
Plato
If you have to make AB perpendicular to CD, rotate AB clockwise, until and unless both the lines intersect at 90 degrees.
What are angles? What is a mathematical function, equation and expression?Angles : the space (usually measured in degrees) between two intersecting lines or surfaces at or close to the point where they meet.
Function : In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function
Expression : A mathematical expression is made up of terms (constants and variables) separated by mathematical operators
Equation : A mathematical equation is used to equate two expressions.
Given is that as you move point B, the angle formed between AB and CD varies.
If you have to make AB perpendicular to CD, rotate AB clockwise, such that the point B moves in clockwise direction, until and unless both the lines intersect at 90 degrees.
Therefore, if you have to make AB perpendicular to CD, rotate AB clockwise, until and unless both the lines intersect at 90 degrees.
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Simplify the equation: 2x - 3 > 2(x+9)
Answer:
no solution
Step-by-step explanation:
2x - 3 > 2(x+9)
Distribute
2x-3 > 2x+18
Add 3 to each side
2x-3+3 > 2x+18+3
2x> 2x+21
Subtract 2x from each side
2x-2x> 2x-2x+21
0 > 21
This is never true so there is no solution
Answer:
See below.
Step-by-step explanation:
So we have the inequality:
[tex]2x-3>2(x+9)[/tex]
First, distribute the right side:
[tex]2x-3>2x+18[/tex]
Subtract both sides by 2x. Both the left and right cancels:
[tex](2x-3)-2x>(2x+18)-2x\\-3>18[/tex]
-3 is not greater than 18. Therefore, the inequality is never true.
How are the rules for adding and subtracting negative numbers similar to adding and subtracting positive numbers? Justify your response with an example
Answer: the rules are
+(+) Two like signs become a positive sign
−(−) 6−(−3) = 6 + 3 = 9
+(−) Two unlike signs become a negative sign
−(+)
Step-by-step explanation:
Example: 3+(+2) = 3 + 2 = 5, 6−(−3) = 6 + 3 = 9, 7+(−2) = 7 − 2 = 5,8−(+2) = 8 − 2 = 6 hope this helps you :)
35 points answer quickly please. Solve each given equation and show your work. Tell whether each equation has one solution, an infinite number of solutions, or no solution. Explain your answers. (a) 2x+4(x-1)=2+4x (b) 25-x=15-(3x+10) (c) 4x=2x+2x+5(x-x)
Answer:
[tex]\large \boxed{\mathrm{(a) \ One \ solution}} \\ \\ \large \boxed{\mathrm{(b) \ One \ solution}} \\ \\ \large \boxed{\mathrm{(c) \ All \ real \ numbers}}[/tex]
Step-by-step explanation:
2x+4(x-1)=2+4x
Expand brackets.
2x+4x-4=2+4x
Combine like terms.
6x-4=2+4x
Subtract 4x from both sides.
Add 4 to both sides.
2x=6
Divide both sides by 2.
x=3 (One solution)
25-x=15-(3x+10)
Distribute negative sign.
25-x=15-3x-10
25-x=-3x+5
Add x and -5 to both sides.
20=-2x
Divide both sides by -2.
-10=x (One solution)
4x=2x+2x+5(x-x)
Solve for brackets.
4x=2x+2x+5(0)
4x=2x+2x
Combine like terms.
4x=4x
Divide both sides by 4.
x=x
All real numbers are solutions. (All real numbers)
Can u guys PLEASE answer this question ASAP. Two wooden boxes, both with dimensions 80 cm, 1 m and 25 cm, are placed on the ground, one on top of the other as shown. The entire outside surface is then painted. Find the area of the painted surface.
Answer:
34000cm or 340m
Step-by-step explanation:
We have to find total surface area.
dimensions of 1 wooden box =
l = 1m = 100cm
b = 80cm
h = 25cm
∴ In the case of 2 =
l = 100cm
b= 80cm
h = 25 + 25 = 50cm
T.S.A = 2(lb + lh + bh)
= 2(100*80 + 100*50+ 80*50)
= 2(8000+5000+4000)
= 2*17000
= 34000cm
= 340m
Can someone answer this as soon as possible please thank you so much
Answer: 40
Step-by-step explanation:
angle 1 and 2 are alternative interior angle which means they are equal
-------------------------------
angle 1= angle 2
2x+20=3x+10
x=10
------------------------------
angle 1=2x+20
=2(10)+20
=20+20
=40
Step-by-step explanation:
Hey there!!
Just do it in a simple way.
Use the properties of parallel lines, and find the value of x to find angke 1.
angle 1= angle 2 { alternate angles on parallel lines are equal }
[tex]2x + 20°= 3x + 10°[/tex]
or, 3x-2x = 20°-10°
x= 10°.
now,
angle 1= 2x+ 20°
=2×10°+20°
Therefore, the measure os angle 1 is 40°.
Hope it helps...
Convert 3km to mm.
Answer:
3km = 3000000 milimeters = 3000000mm
Step-by-step explanation:
1 km = 1000 meters
1 meter = 1000 milimeters
then:
1km = 1000*1000 = 100000 milimiters = 1000000mm
3km = 3*1000000 = 3000000 milimeters
Parallel and Perpendicular Line Equations Write the slope-intercept form of an equation of the line that passes through the point (3.2) and is parallel to y = x + 5 yox. 1 X5
I need help asap pls
Answer:
y = x - 1
Step-by-step explanation:
Lines that are parallel have the same slope. The slope of the given equation is 1. This means that the new equation will also have a slope of 1.
Use the point-slope form to find the equation with the given point and slope.
y - y₁ = m(x - x₁)
y - 2 = 1(x - 3)
y - 2 = x - 3
(y - 2) + 2 = (x - 3) + 2
y = x - 1
A new backpack at the local store is originally priced $160. It is on sale for 35% off. What is the new sale price?
Answer:
$104
Step-by-step explanation:
10% = 160 ÷ 10 = $16
5% = $16 ÷ 2 = $8
30 % = 16 x 3 = $48
48 + 8 = $56
$160 - $56 = $104
Hope this helps!
What is the slope of the function y=4x+6y=4x+6 Answer value
f(x) =x+2 g(x)=x-4 (fg)(x)
Answer:
x^2-2x-8
Step-by-step explanation:
FOIL the two together and get x^2 for the first, -4x outer, +2x inner, -8 last. Then combine like terms and get x^2-2x-8
Answer:
(fg)(x)) = x² - 2x -8
Step-by-step explanation:
f(x) = x + 2, g(x) = x - 4 (f*g)(x) = ?----------
(fg)(x) = (x-4)(x + 2) = x² - 4x + 2x - 8 = x² - 2x -8 (fg)(x)) = x² - 2x -8the population of California is about 39 million is this greater than or less then 107
Answer:
greater
39 million>107
The solution is 39 million is greater than 10⁷
The value 3.9 x 10⁷ is greater than the value 10⁷
What is an 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.
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 data ,
Let the equation be represented as A
Now , the value of A is
A = 39 million
Let the value of B = 10⁷
On simplifying the value of A , we get
A = 39 million
A = 39000000
So , the value A can be written in powers of 10 as
The value of A = 39 x 10⁶
On simplifying the equation , we get
The value of A = 3.9 x 10⁷
Now , the value of A > B
And , 3.9 x 10⁷ > 10⁷
Therefore , the value of A is greater than B
Hence , The value 3.9 x 10⁷ is greater than the value 10⁷
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Answer answer it it it Answer answer it it it
Answer: C
Step-by-step explanation:
6+3=9
9+3=2
Answer: A
Step-by-step explanation:
6+3=9
9+3=12
I NEED HELP ASAP! What is 3/7 of 35??
Answer:
15
Step-by-step explanation:
you can approach this question with simple math
first you would divide 35 by 7 and you would get 5 then multiply by 3, you will get 15
Answer:
the answer is 15
Step-by-step explanation:
3/7 of 35 means 3/7 x 35
so 3/7 x 7x5
3x5 =15( deleting 7 from numerator and denominator)
ans : 15
a total eclipse solar eclipse in 2003 lasted 5 3/20 minutes in Wizard viewed from the southern hemisphere the next total eclipse in 2005 lasted 3 2/3 minutes and was viewed from the Northern Hemisphere how much longer was the 2003 solar eclipse?
Answer: [tex]1\dfrac{29}{60}\text{ minutes}[/tex]
Step-by-step explanation:
Given: A total eclipse solar eclipse in 2003 lasted [tex]5\dfrac{3}{20}[/tex] minutes
[tex]=\dfrac{5(20)+3}{20}=\dfrac{103}{20}\text{ minutes}[/tex]
& a total eclipse solar eclipse in 2005 lasted [tex]3\dfrac{2}{3}[/tex]minutes
[tex]=\dfrac{3(3)+2}{3}=\dfrac{11}{3}\text{ minutes}[/tex]
Difference= [tex]\dfrac{103}{20}-\dfrac{11}{3}=\dfrac{103\times3-11\times20}{60}[/tex]
[tex]=\dfrac{309-220}{60}\\\\=\dfrac{89}{60}\text{ minutes}\\\\=1\dfrac{29}{60}\text{ minutes}[/tex]
So, 2003 solar eclipse was [tex]1\dfrac{29}{60}\text{ minutes}[/tex] longer than solar eclipse in 2005.
find perimeter of rectangle if length is 2x+8 width is 5x-2
Answer:
P=(a+b)*2
P=(2x+8+5x-2)*2=(7x+6)*2=14x+12
Step-by-step explanation:
perimeter is the distance round. Add all the algebras
2x+8+5x-2+2x+8+5x-2
{combine the like terms}
P= 14x+12
Question 1
Study the ordered pairs in the table. Move point D to the locations shown, and note mZDFB, mZCEA, AE, and BF
You can turn on the grid to find the locations more easily. Round angle measurements to the nearest degree,
Location of Dm DFB m.CEA BF AE
(12,2)
(11, 1)
(4,2)
(8,5)
Answer:
(12, 2) 85° 95° 2.72 units 3.29 units
(11, 1) 81° 99° 2.03 units 3.04 units
(4, 2) 90° 90° 3.62 units 3.62 units
(8, 5) 102° 78° 5.70 units 4.37 units
(9, 7) 109° 71° 6.93 units 4.82 units
Step-by-step explanation:
I was looking for an answer then decided to do it myself and these are the correct answers.
(12, 2)
85° 95° 2.72 units & 3.3 units
(11, 1)
81° 99° 2.03 units & 3.04 units
(4, 2)
90° 90° 3.62 units & 3.6 units
(8, 5)
102° 78° 5.70 units & 4.4 units
What is an ordered pair in math?An ordered pair is a composition of the x-coordinate and the y-coordinate, having two values written in a fixed order. Ordered pair helps to locate a point on the Cartesian plane.
What is a Cartesian plane?The cartesian plane is a two-dimensional coordinate plane, which is formed by the intersection of the x-axis & y-axis. The 2 axes intersect at the angle of 90degree to each other at the point called the origin.
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If sally study’s math 1.5 hours a day predict her math grade based on the scatter plot above
Answer:
Approximate marks sally get = 95%
Step-by-step explanation:
Given:
Sally's study time = 1.5 hour = 1.5 × 60 = 90 minute
Find:
Approximate marks sally get.
Computation:
Number of minute sally study = 1.5 × 60
Number of minute sally study = 90 minutes
Using graph,
Vertical line on 90 minutes shows 95% , we can say that the person who study 90 minutes per day get 95% marks
So,
Approximate marks sally get = 95%
Answer:95
Step-by-step explanation:
A man spends 1/3 of his salary on accomodation and 2/5 of the remainder on food. What fraction is left for other purposes?
Greetings from Brasil...
Let's find the equivalent fractions
A/B ; C/D ⇔ A·D/B·D ; C·B/B·D
Bringing to our problem:
A/B ; C/D ⇔ A·D/B·D ; C·B/B·D
1/3 ; 2/5 ⇔ 1·5/3·5 ; 2·3/3·5 ⇔ 5/15 ; 6/15
Now we can sum/add the equivalent fractions
5/15 + 6/15 = 11/15
11/15 to accomodation and food
15/15 = total
total - (accomodation and food) = other purposes
15/15 - 11/15 = 4/15
So 4/15 its the fraction for other purposes
The formula for the surface area of a cylinder is 2pi r(r+h) where rrr is the radius of the cylinder's base and h is its height. A certain pole has a cylinder-like shape, where the base's radius is 10centimeters and the height is 2 meters. What calculation will give us the estimated surface area of the pole in square centimeters?
Answer:
4200πcm²Step-by-step explanation:
Given the formula for the surface area of a cylinder as S = 2πr(r+h) where r is the radius of the cylinder's base and h is its height.
Given parameters
base radius of the cylindrical pole = 10 cm
Height of the cylindrical pole = 2 m
Since 100 cm = 1 m, then 2 m = 200 cm
Height of the cylindrical pole (in cm) = 200 cm
Required
Surface area of the pole (in cm²)
Using the formula for finding the surface area of a cylinder as shown above;
[tex]S = 2\pi r(r+h)\\\\S = 2\pi (10)(10+200)\\\\S = 2\pi 10(210)\\\\S = 2\pi * 2100\\\\S = 4200\pi cm^2[/tex]
Hence the surface area of the pole in square centimetres is 4200πcm²