Find the 63rd term of the arithmetic sequence 2,9,16
Answer:
a₆₃ = 436Step-by-step explanation:
[tex]a_1=2\\a_2=9\\d=a_2-a_1=7\\\\a_n=a_1+d(n-1)\\\\a_{63}=2+7(63-1)=2+7(62)=2+434=436[/tex]
The 63rd term of the given arithmetic progression is 436.
What is an Arithmetic progression?
An arithmetic progression is a sequence of numbers such that the difference between the consecutive terms is constant. A sequence -
a₁ , a₂, a₃ , a₄ ...... aₙ
will be an arithmetic progression if -
a₂ - a₁ = a₃ - a₂ = a₄ - a₃ = d (constant) is called common difference of A.P. and a₁ = 'a' as the first term.
Given is the following sequence -
2, 9, 16, ..... nth term
First term [a] = 2
common difference [d] = 9 - 2 = 7
We can calculate the nth term of an A.P. using the formula -
a[n] = a + (n - 1)d
a[63] = a + (63 - 1) d
a[63] = 2 + 62 x 7
a[63] = 2 + 434
a[63] = 436
Therefore, the 63rd term of the given arithmetic progression is 436.
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subtract the product of 7 and 5 from r
Answer: 2
Step-by-step explanation:
What is an equation of the line that passes through the point (8, 2) and is parallel to
the line x + 4y = 28?
Answer:
x+4y is not change because it's parallel what changes is the result 8 + 4 × 2 = 16 so the equation is x + 4y = 16
An equation of the line that passes through the point (8, 2) and is parallel to the line x + 4y = 28 is;
⇒ x + 4y = 16
What is Equation of line?
The equation of line with slope 'm' and y - intercept at point 'b' is given as;
⇒ y = mx + b
Given that;
The point is = (8 , 2)
The line is x + 4y = 28
Since, Slope of line to its parallel line is same.
Hence, We find the slope of given equation of line as;
x + 4y = 28
After solving for y;
y = -1/4 x + 7
Compare with y = mx + b we get;
Slope (m) = -1/4
Thus, Equation of the line that passes through the point (8, 2) and is parallel to the line x + 4y = 28 is;
y - 2 = -1/4 (x - 8)
4(y - 2) = - (x - 8)
4y - 8 = -x + 8
x + 4y = 16
So, An equation of the line that passes through the point (8, 2) and is parallel to the line x + 4y = 28 is;
⇒ x + 4y = 16
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what is 48÷2(9+3)= ???
Answer:2
Step-by-step explanation:
9+3=12 12*2=24 48/24=2
Answer:
=288
Step-by-step explanation:
=48/2.12
=288
can you give me the crown please :)
Melissa needs to mix 2 cups of baking soda with 3 cups of vinegar to make a clean solution how many cups of baking soda are needed for each cup of vinegar
Answer:
6
Step-by-step explanation:
im assume 6 because you just need to multiply them check tho
The Main Street Animal Hospital can take care of 28 animals at one time. The Green Street Animal Hospital can take care of twice as many animals. How many animals can the Green Street Animal Hospital care for?
Joe's equation: g equals 28 cross times 2
Answer:
56
Step-by-step explanation:
pls solve for x thank you
Answer:
X=4
Explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
hope this helps! <3
find the product of (2x-3) and (x+3)
Answer:
(2x - 3) * (x + 3)
=> (2x * x) + (-3 * 3)
=> 2x - 9
=> 2x -9
If my answer helped, kindly mark me as the brainliest!!
Thank You!!
The image of the point (6,-3) under a translation is (2,-6). Find the coordinates
of the image of the point (-8,-5) under the same translation.
Answer:
(-12, -8)
Look at the photo for explaination.
Which does not represent a rational number? A)3/2 B)√7 C)16 D)0.29 with a repeat bar
pretty sure it’s D
hope that helps
solve by elimination
the answer is x= -2/5 and y= 2/5
So soft ball bags are on clearance for an additional 30% off the sales price Finley finds one size:it was originally $70.00,but is marked down to $50.00. How much will the bat cost Finley on clearance?
Answer:
$35
Step-by-step explanation:
50 * 30% = 15$ discount
50 - 15 = 35$ cost
30% discount is additional so based off sales price
The positions of two airplanes approaching an airport are plotted in a coordinate plane with the airport located at (0,0). The locations of the planes are
given by the coordinates (7, 2) and (-1, -8). Each grid square is 1 mile wide. How far apart are the approaching airplanes? Round your answer to the
nearest tenth of a mile.
Answer:
12.8 miles
Step-by-step explanation:
The distance is given by the distance formula:
d = √((x2 -x1)^2 +(y2 -y1)^2)
d = √((-1 -7)^2 +(-8-2)^2) = √((-8)^2 +(-10)^2) = √(64 +100)
d = √164 ≈ 12.8
The planes are about 12.8 miles apart.
Answer: incorret
Step-by-step explanatioTo calculate the distance (d) use the distance formula
d = √ (x₂ - x₁ )² + (y₂ - y₁ )²
with (x₁, y₁ ) = (- 5, 0) and (x₂, y₂ ) = (0, - 5)
d =
=
= = = = 5 ← exact value
He is Incorrect
n:
8. REINFORCE The support of a swing set is in the shape of an "A".
However, the swing sits on uneven ground as shown in the
diagram. Explain how you can move the support bar, DE, to
make it parallel to the ground, represented by BC . Use angles in
your explanation.
E
Answer:
so the a is considered to be the angle
!!PLEASE HELP !!
f(x)= |5x+1|-3
g(x)= 4
Find (f-g)(x).
Answer:
(f-g)(x) = |5x + 1| - 7Step-by-step explanation:
(f-g)(x) = f(x) - g(x) = |5x + 1| - 3 - 4 = |5x + 1| - 7
5.93+2.6 plz help me
Answer:
8.53
Step-by-step explanation:
Answer:
I solved it and my answer is 8.53
Help...its not that hard...
Answer:
1. 3 3/4 2. 2 2/5
Step-by-step explanation:
5 1/4 divided by 1/8
Answer:
42
Step-by-step explanation:
Answer:
the answer is 42
Step-by-step explanation:
becuase in decimal 5.25 divided by .125 is 42
Select the given points in the coordinate plane that lie on the graph of the linear equation 4x - y = 3.
1.(-1,-7) 2.(0,3) 3.(3/4,0) 4.(1,1) 5.(2,5) 6.(4,-1)
Answer:
HERE IS YOUR ANSWER
Step-by-step explanation:
The standard form of a linear equation is
Ax+By=C,A,B≠0Ax+By=C,A,B≠0
Before you can graph a linear equation in its standard form you first have to solve the equation for y.
2y−4x=82y−4x=8
2y−4x+4x=8+4x2y−4x+4x=8+4x
2y=4x+82y=4x+8
2y2=4x2+822y2=4x2+82
y=2x+4
(-1, -7), (3/4, 0),(1,1),(2,5) are the points in the coordinate plane that lie on the graph of the linear equation 4x - y = 3.
What is Equation?Two or more expressions with an Equal sign is called as Equation.
The given points in the coordinate plane that lie on the graph of the linear equation 4x - y = 3.
For (-1,-7)
4(-1)-(-7)=3
3=3
So the point (-1, -7) lie on the line.
(0,3)
4(0)-3=3
-3=3
the point (0,3) does not lie on the line.
For point (3/4, 0)
4(3/4)-0=3
3=3
the point (3/4,0) lie on the line.
For point (1,1)
4-1=3
3=3
The point (1,1) lie on the line.
For point (2,5)
8-5=3
3=3
The point (2,5) lie on the line.
For point (4,-1)
16+1=3
17=3
For point (4,-1) does not lie on the line.
Hence, (-1, -7), (3/4, 0),(1,1),(2,5) are the points in the coordinate plane that lie on the graph of the linear equation 4x - y = 3.
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One triangle has angles that measures 45 degrees and 83 degrees. Another triangle has angles that measure 45 degrees and 42 degrees Are the triangles similar? How do you know?
Answer:
The two triangles are not similar
Step-by-step explanation:
Similar triangles have equal corresponding angles and proportion sides
Ex: If Δ ABC is similar to ΔXYZ, then
m∠A = m∠X, m∠B = m∠Y, m∠C = m∠Z[tex]\frac{AB}{XY}=\frac{BC}{YZ}=\frac{AC}{XZ}[/tex]In the given question
∵ One triangle has angles that measure 45° and 83°
→ Find the measure of the 3rd angle
∵ The sum of the measures of the angles of a triangle is 180°
∴ The measure of the 3rd angle = 180° - 45° - 83°
∴ The measure of the 3rd angle = 52°
∴ The measures of the angles of this triangle are 45°, 83°, 52°
∵ Another triangle has angles that measure 45° and 42°
→ Find the measure of the 3rd angle
∴ The measure of the 3rd angle = 180° - 45° - 42°
∴ The measure of the 3rd angle = 93°
∴ The measures of the angles of this triangle are 45°, 93°, 42°
∵ The two triangles have different measures of 2 angles
→ That means their corresponding angles are not equal
∴ The two triangles are not similar
Simplify this please. Will give brainliest for the correct answer. Please explain too.
5(x+3)−5x
Thanks
Answer:
15
Step-by-step explanation:
First, you must distribute 5 to (x + 3)
5(x + 3) - 5x
5x + 15 - 5x
5x - 5x +15
(You can typically say 0x + 15, as a representation to show there are no more x values, but it is bet not to show any if there are none left)
(5x - 5x will cancel out, leaving only 15)
= 15
please help me answer this question if correct I'll make brainylist!!!
Answer:
3
Step-by-step explanation:
I am pretty sure it is 3, because 3+3 is 6+5 = 11
The other box also has 11
So I think the x is 3.... Hope this helps
Answer:
3
Step-by-step explanation:
on the left, you see the 1 by 1 squares from before, which I will call c1s, and you see 6 extra c1s
on the right, there are 2, 3 by 1 rectangles. 3 by 1 = 3*1 = 3
3 is the answer
HELPP please ??? I’ll appreciate it a lot .
Answer: [tex]\sqrt{41}[/tex]
On a keyboard you would type sqrt(41)
===========================================
Work Shown:
[tex]\text{point L} = (x_1, y_1) = (2,-1)\\\\\text{point N} = (x_2, y_2) = (7,-5)\\\\[/tex]
[tex]d = \text{distance from L to N}\\\\d = \sqrt{ (x_1-x_2)^2 + (y_1-y_2)^2 } \ \text{ ... distance formula}\\\\d = \sqrt{ (2-7)^2 + (-1-(-5))^2 }\\\\d = \sqrt{ (2-7)^2 + (-1+5)^2 }\\\\d = \sqrt{ (-5)^2 + (4)^2 }\\\\d = \sqrt{ 25 + 16 }\\\\d = \sqrt{ 41 }\\\\[/tex]
----------
A slight alternative is to plot the point M(2,-5) to form right triangle LMN. The 90 degree angle is at point M.
The legs are of length LM = 4 and MN = 5, which are found by subtracting the x coordinates together and the y coordinates together (or you can count the spaces). From there, use the Pythagorean theorem to get the hypotenuse LN.
The distance formula is an altered version of the Pythagorean theorem.
Answer:
The distance between the two points provided is: [tex]\sqrt{41}[/tex]
Step-by-step explanation:
First thing is to evaluate what the distance formula is:
d = [tex]\sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2} }[/tex]
Then substitute the points provided:
d = [tex]\sqrt{(7-2)^{2}+(-5-(-1)^{2} }[/tex]
(The double negative between -5 and -1 will make the -1 a positive 1). (1)
d = [tex]\sqrt{(5)^{2}+(6)^{2} }[/tex]
Now the exponents:
d = [tex]\sqrt{25+36}[/tex]
Second to last, you must add:
d = [tex]\sqrt{41}[/tex]
If needed ± should be added in front of the radical.
The points are the same as the ones that were given.
2. What is the equation in point-slope form of the line tha passes through the point
(1, -1) and has a slope of 4?
PLSS PLSS HELP ME!!! I WILL MARK U!
if f(x)=2x^2-10, find f(-3)
Answer:
f(- 3) = 8
Step-by-step explanation:
To evaluate f(- 3), substitute x = - 3 into f(x) , that is
f(- 3) = 2(- 3)² - 10 = 2(9) - 10 = 18 - 10 = 8
HELP ASAP WILL GIVE BRAINLIEST
2(2s−3t)
s= 5.2 and t=1.9
Answer:
9.4
Step-by-step explanation:
2(2s - 3t)
Substitute s and t for 5.2 and 1.9
2(2 x 5.2 - 3 x 1.9)
Multiply Inside the Parenthesis
2(10.4 - 5.7)
Subtract Inside the Parenthesis
2(4.7)
Multiply to get
9.4
Help me out please need them by tomorrow, answer any question you know just put the number so I can know what question you answered.
Answer:
7. 69
Step-by-step explanation:
6x+3(x-7) when x=10
6(10)+3(10)-21
60+30-21
90-21
69
Answer: (7.) the answer is 69
Step-by-step explanation:
The best way to remember this is PEMDAS ("Please Excuse My Dear Aunt Sally)
Parenthesis, Exponent , Multiplication, Division, Addition, Subtraction (this is the order that you should work your problem)
6x+3(x-7) lets see where there is a parenthesis first (x-7), we're going to plug in 10 where x is listed >> (10-7)= 3
The problem now reads 6x+3(3)
We do not have exponents, so we move to see if there is multiplication
6x>> we're going to replace x with 10 to read 6*10 = 60
The other multiplication is 3(3) which = 9
your problem now reads : 60+9
There are no division so we move to Addition
60+9= 69
There are no subtractions so you are now done with your problem and left with the answer 69
Please solve 8.2(6x-3)=7(7x-1.2)
Answer:
x=81
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
8.2(6x−3)=7(7x−1.2)
(8.2)(6x)+(8.2)(−3)=(7)(7x)+(7)(−1.2)(Distribute)
49.2x+−24.6=49x+−8.4
49.2x−24.6=49x−8.4
Step 2: Subtract 49x from both sides.
49.2x−24.6−49x=49x−8.4−49x
0.2x−24.6=−8.4
Step 3: Add 24.6 to both sides.
0.2x−24.6+24.6=−8.4+24.6
0.2x=16.2
Step 4: Divide both sides by 0.2.
0.2x0.2=16.20.2
Experiment with different types of polygons, such as a triangle, rectangle, parallelogram, pentagon, hexagon, and so on, and revolve them around an axis of rotation. Try to create interesting or unusual solids of revolution. Describe at least two unusual shapes that you can make by revolving a polygon.
Answer:
Polygon 1Axis of Rotation 2Solid of Revolution
irregular pentagon :
1axis of symmetry 2diamond-shaped solidright triangle:
1hypotenuse 2two cones with a common circular baseStep-by-step explanation:
PLATO hope this helps
Answer: hope this helps