Answer:
Step-by-step explanation:
The last one: 79, 79, 79, 79, 79, 79, 79, 79, 79, 79 because there isn't any difference in the numbers.
S.D.: 0
Find the common difference and the SIMPLIFIED general term formula.
3) a 14=1322 and a 38 = 3722
I reallyyyy need help!!! ASAP PLEASE!!!!!
Answer:
[tex]a_{n}[/tex] = 100n - 78
Step-by-step explanation:
the nth term of an arithmetic sequence is
[tex]a_{n}[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
given a₁₄ = 1322 and a₃₈ = 3722 , then
a₁ + 13d = 1322 → (1)
a₁ + 37d = 3722 → (2)
subtract (1) from (2) term by term to eliminate a₁
24d = 2400 ( divide both sides by 24 )
d = 100
substitute d = 100 into either of the 2 equations and solve for a₁
substituting into (1)
a₁ + 13(100) = 1322
a₁ + 1300 = 1322 ( subtract 1300 from both sides )
a₁ = 22
then nth term formula is
[tex]a_{n}[/tex] = 22 + 100(n - 1) = 22 + 100n - 100 = 100n - 78
HELPPP PLEASE!!!!!!!!!!!
Answer:
C
Step-by-step explanation:
calculate the slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (0, 2) and (x₂, y₂ ) = (4, 0) ← 2 points on the line
m = [tex]\frac{0-2}{4-0}[/tex] = [tex]\frac{-2}{4}[/tex] = - [tex]\frac{1}{2}[/tex]
the y- intercept is the value of y where the line crosses the y- axis , then
y- intercept = 2
Hi pls help
1) -15+4r=-9
2) 5-y/3=-1
3) 42=-5x-8
1) -15+4r=-9
-15+4r=-9
We move all terms to the left:
-15+4r-(-9)=0
We add all the numbers together, and all the variables
4r-6=0
We move all terms containing r to the left, all other terms to the right
4r=6
r=6/4
r=1+1/2
2) 5-y/3=-1
5-y/3=-1
We move all terms to the left:
5-y/3-(-1)=0
We add all the numbers together, and all the variables
-y/3+6=0
We multiply all the terms by the denominator
-y+6*3=0
We add all the numbers together, and all the variables
-1y+18=0
We move all terms containing y to the left, all other terms to the right
-y=-18
y=-18/-1
y=+18
3) 42=-5x-8
42=-5x-8
We move all terms to the left:
42-(-5x-8)=0
We get rid of parentheses
5x+8+42=0
We add all the numbers together, and all the variables
5x+50=0
We move all terms containing x to the left, all other terms to the right
5x=-50
x=-50/5
x=-10
Write down in terms of n, an expression for the nth term of the following sequences:
a) 12 10 8 6 4
b) 25 20 15 10 5
Answer:
The formula for an arithmetic sequence is:
an = a1 + (n - 1)d
In which a1 is the first term and d is the common difference.
a) 12, 10, 8, 6, 4
an = 12 + (n - 1)-2
an = 12 -2n + 2
an = -2n + 14
b) 25, 20, 15, 10, 5
an = 25 + (n - 1)-5
an = 25 -5n + 5
an = -5n + 30
At an amusement park, 40 percent of the tickets were sold in the first hour. If 800 tickets were sold in the first hour, which equation can be used to find the total number of tickets sold for the entire day?
StartFraction 800 divided by 40 Over 40 divided by 40 EndFraction = StartFraction 20 Over 1 EndFraction
StartFraction 100 divided by 4 Over 800 divided by 4 EndFraction = StartFraction 25 Over 200 EndFraction
StartFraction 40 times 20 Over 800 times 20 EndFraction = StartFraction 800 divided by 16,000 EndFraction
Answer:
2000 tickets were sold
Step-by-step explanation:
40% can also be written as 0.40
800/ 0.40 = 2000 total tickets
may I have some assistance please
What method can be used to write the equation of a line in slope-intercept form given two points? Find the slope using the formula m = StartFraction y 2 minus y 1 Over x 2 minus x 1 EndFraction, and then substitute one point and the slope into the equation y = m x + b to find the y-intercept. Find the slope using the formula m = StartFraction x 2 minus x 1 Over y 2 minus y 1 EndFraction, and then substitute one point and the slope into the equation y = m x + b to find the y-intercept. Find the y-intercept using the formula m = StartFraction y 2 minus y 1 Over x 2 minus x 1 EndFraction, and then substitute one point and the y-intercept into the equation y = m x + b to find the slope. Find the y-intercept using the formula m = StartFraction x 2 minus x 1 Over y 2 minus y 1 EndFraction, and then substitute one point and the y-intercept into the equation y = m x + b to find the slope.
The method that can be used to write the equation of a line in slope-intercept form given two points is option A.
Calculations and ParametersWhen a person wants to write the equation of a line in slope-intercept form given two points, he would have to:
Know the two pointsUse them to find the slopeYou would get the value of mUse it to solve the equation y= mx + bFind the y-interceptTherefore, the answer is option A.
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use your calc to work this out
please help .. . . .
Answer:
Step-by-step explanation:
PLEASE HELP. DON’T NEED DEEP EXPLANATION JUST ANSWERS.
Which of the following are solutions to the equations below?
x^2 + 6x + 9= 20
Check all that apply.
Answer:
[tex]\large {\textsf{B and E}}\ \implies x_1=-2\sqrt{5}-3,\ x_2=+2\sqrt{5}-3[/tex]
Step-by-step explanation:
Quadratic Formula: [tex]x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]
Quadratic Equation: ax² + bx + x = 0, where a ≠ 0
Given equation: x² + 6x + 9 = 20
Step 1: Subtract 20 from both sides.
x² + 6x + 9 - 20 = 20 - 20
⇒ x² + 6x - 11 = 0
Step 2: Identify the values of a, b, and c and substitute them in the formula.
⇒ a = 1, b = 6, c = -11
[tex]x=\dfrac{-6\pm\sqrt{\bold{6^2}-4(1)(-11)}}{\bold{2(1)}}\\\\x=\dfrac{-6\pm\sqrt{36\bold{\ - \ 4(-11)}}}{2}\\\\x=\dfrac{-6\pm\sqrt{\bold{36+44}}}{2}\\\\x=\dfrac{-6\pm\sqrt{80}}{2}\\\\x=\dfrac{-6\pm\sqrt{16\times5}}{2}\implies \dfrac{-6\pm\sqrt{\bold{16}}\times\sqrt{5}}{2} \\\\x=\dfrac{-6\pm4\sqrt{5}}{2}[/tex]
Step 3: Separate into possible cases.
[tex]x_1=\dfrac{-6-4\sqrt{5}}{2}\implies \dfrac{-6}{2}+\dfrac{-4\sqrt{5}}{2}\implies \boxed{-3-2\sqrt{5}\ \ \textsf{or}\ -2\sqrt{5}-3}\\\\x_2=\dfrac{-6+4\sqrt{5}}{2}\implies \dfrac{-6}{2}+\dfrac{4\sqrt{5}}{2}\implies \boxed{-3+2\sqrt{5}\ \ \textsf{or}\ \ 2\sqrt{5}-3}[/tex]
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Which of the following inequalities matches the graph?
graph of an inequality with a solid line through the points 0, negative 2 and 2, 1 with shading above the line
3x − 2y ≥ 4
3x − 4y ≤ 2
3x − 2y ≤ 4
The correct inequality is not listed.
Answer:
The correct option is 3.
Step-by-step explanation:
It is given a graph of an inequality with a solid line through the points (0, −2) and (2, 1) with shading above the line.
The equation of a solid line is:
[tex]y-y_{1} = \frac{y_{2}- y_{1} }{x_{2}- x_{1} } (x-x_{1})\\ y+2= \frac{1+2}{2-0}(x-0)\\ y+2= \frac{3}{2} x[/tex]
The y-intercept of the line is -2 and the shaded region is shading above the line. So, (0,0) must be lies in the shaded region.
Check the related equation by point (0,0).
0+2 =[tex]\frac{3}{2}(0)[/tex]
2 = 0
The statement is true if and only if the sign is greater than or equal instead of equal.
The required inequality is
[tex]y+2 \geq \frac{3}{2}x[/tex]
Multiply both sides by 2.
[tex]2y + 4 \geq 3x\\4\geq 3x-2y\\3x-2y \leq 4[/tex]
Therefore option 3 is correct.
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can someone please do this for me
The range is from the maximum point into infinity that is [4, infty) and the vertex is at (0, 4)
Vertex, domain and range of a functionThe given graph is a parabola. It represents the graph of a quadratic equation.
From the shown graph, the parabola has a maximum point at (0, 4). This is also the vertex of the graph
The domain area values along the x-axis while the range lies on the y-axis. From the graph shown, the domain is [-2, 2] (x lies between -2 and 2)
The range is from the maximum point into infinity that is [4, infty)
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Work out the sum of the interior angles of any quadrilateral
Answer:
The sum of the interior angles of any quadrilateral is 360°.
Answer:
360°Step-by-step explanation:
A quadrilateral is a polygon which has 4 vertices and 4 sides enclosing 4 angles and the sum of all the angles is 360°.
I'll give you an example with the square, it has 4 right angles, so the sum is 360 ° as in all quadrilaterals.
Find the value of x
Answer:
3
Step-by-step explanation:
11(3)+2 = 6
also,
33-29 =
and
29 - 23 = 6
I take a guss, but I think its 3
Josie needs to rent a car from SureRide Car Rentals. The cost of renting a car iS a
one-time fee of $80 plus $0.75 per mile. Write and graph an equation to represent
pay tO rent a car a from SureRide.
the cost which Josie must
Answer: y = 0.75x + 80
Step-by-step explanation:
let x = 1 mile
y = 0.75x + 80
f(x)=(2x−3)(x+6)(5x+6)f, left parenthesis, x, right parenthesis, equals, left parenthesis, 2, x, minus, 3, right parenthesis, left parenthesis, x, plus, 6, right parenthesis, left parenthesis, 5, x, plus, 6, right parenthesis has zeros at x=-6x=−6x, equals, minus, 6, x=-\dfrac{6}{5}x=− 5 6 x, equals, minus, start fraction, 6, divided by, 5, end fraction, and x=\dfrac{3}{2}x= 2 3 x, equals, start fraction, 3, divided by, 2, end fraction. What is the sign of fff on the interval -6
Answer:
566
Step-by-step explanation:
I got it right..................
How would i work this out?
can someone please help me?
We have the equation of a line:
[tex]y=-\dfrac{5}{4}x-1[/tex]
The formula of a slope of a line passes through points A, B:
[tex]A(x_A,\ y_A),\ B(x_B,\ y_B)\\\\m=\dfrac{y_B-y_A}{x_B-x_A}[/tex]
Complete the table:
Put the values of x to the equation of a line and calculate the value of y:
[tex]x=0\\\\y=-\dfrac{5}{4}\cdot0-1\\\\y=-1\\\\\\x=4\\\\y=-\dfrac{5}{4}\cdot4-1\\\\y=-6[/tex]
Substitute to the formula of a slope:
[tex]m=\dfrac{-6-(-1)}{4-0}\\\\m=\dfrac{-6+1}{4}\\\\\huge\boxed{m=-\dfrac{5}{4}}[/tex]
If f(x) = 2x² + 3x and g(x)= x - 2, what is (f+ g)(2)?
Answer:
14.
Step-by-step explanation:
If f(x) = 2x2 + 3x and g(x) = x - 2, (f + g)(2) is 14.
Answer:
14
Step-by-step explanation:
f(x) = 2x² + 3x
f(2) = 2 * 2^2 + 3(2) = 2*4 + 6 = 8+6 = 14
g(x)= x - 2
g(2) = 2-2 = 0
(f+ g)(2) = 14+0 = 14
A glass cylinder with a radius of 7cm has water up to a height of 9cm. A metal cube of 5.5cm edge is immersed in it completely. calculate the height by which the water rises in the cylinder.
i love robloox
n n n nn
K'L'M'N' is a dilation image of KLMN. Which is the correct description of the dilation?
Answer:
d
Step-by-step explanation:
lcm of 15,18,21
lcm of 56 84 140
lcm
Step-by-step explanation:
The lcm of first question is 630 and second is 840
Answer:
LCM of 15,18,21: 630
LCM of 56,84,140: 840
Step-by-step explanation:
The right method is to list all the multiples of the number and circle the least common ones. In this way you will get your answer for any LCM question!
table shows the travelling time to work of 50 people.
Travelling time (t) in minutes
Frequency
0 < t < 10
5
10 < t < 20
15
20 < t < 30
13
30 < t < 40
10
40 < t < 50
Calculate an estimate of the mean travelling time.
An estimate of the mean travelling time will be 24.8 mins.
What are mean?The mean is the average value which can be calculated by dividing the sum of observations by the number of observations
Mean = Sum of observations/the number of observations
Given;
Time > timemark > frequency
0 – 10 > 10/2 = 5 > 5
10 – 20 > (10+20)/2 = 15 > 15
20 – 30 > (20+30)/2 = 25 > 13
30 – 40 > (30+40)/2 = 35 > 10
40 – 50 > (40+50)/2 = 45 > 7
The mean time for the 50 people can be calculated as;
Mean = Summation of (mid-time x frequency) / total frequency
Mean = [5x5 + 15x15 + 25x13 + 35x10 + 45x7] / 50
Mean = [25 + 225 + 325 + 350 + 315] / 50
Mean = 1240 / 50
Mean = 24.8 mins
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One way to prove this quadrilateral is a square is by calculating the slopes of its sides and the slopes of its diagonals.
If we can prove that it has 2 pairs of parallel sides, one pair of consecutive sides perpendicular and perpendicular diagonals, then the quadrilateral shown ab
By examining it we found that:
If your answer is a fraction enter is as a fraction. Example: To enter negative one fifth type: -1/5
a. Slope of CB is
b. Slope of DA is
so DA is parallel to CB
c. Slope of CD is
so CD is perpendicular to CB
d. Slope of BD is
e. Slope of CA is
so CA is perpendicular to BD
A slope is also known as the gradient of a line. Slope of a line or straight object is the ratio of how much amount of rise occurs in correspondence to the increment in the run.
What is Slope?A slope is also known as the gradient of a line is a number that helps to know both the direction and the steepness of the line.
How to find the slope?Slope of a line or straight object is the ratio of how much amount of rise occurs in correspondence to the increment in the run.
Thus, we get:
Slope = rise/ run
The slope of any line can found by finding the ratio of the vertical distance to horizontal distance between two ends. Therefore, the blanks can be filled as shown below.
The Slope of CB is 4/3,The Slope of DA is 4/3, so DA is parallel to CBThe Slope of CD is (-3/4), so CD is perpendicular to CBThe Slope of BD is -7The Slope of CA is 1/7, so CA is perpendicular to BD.Learn more about Slope of Line:
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The slope of the line containing the points (-5, 3) and (-2, 1) is
O-2/3
02/3
0-3/2
Answer:
Step-by-step explanation:
slope=(1-3)/(-2-(-5))
=-2/(-2+5)
=-2/3
For each expression below, select the letter that corresponds to the equivalent expression from the given list.
is equivalent to expression
is equivalent to expression
is equivalent to expression
Option 1 corresponds to Part B , Option 2 corresponds to Part D , Option 3 corresponds to Part A , Option 4 corresponds to Part C
The complete question is attached in the image
What is an Expression ?An expression corresponds to the mathematical statement that consists of variables , Constants and mathematical operators simultaneously.
Solving the given option will give us the answer.
(x²+15x+65)+(2x-5)*(3x+8)
(x²+15x+65)+(6x²+16x-15x-40)
(7x²+16x+25)
Option 1 corresponds to Part B
(4x+1)*(3x-4)-(5x²-10x-12)
(4x+1)*(3x-4)-(5x²-10x-12)
(12x²-16x+3x-4)-(5x²-10x-12)
(7x²-3x+8)
Option 2 corresponds to Part D
(8x²+19x+4)+(3x+2)*(x-5)
(8x²+19x+4)+(3x²-15x+2x-10)
(11x²+6x-6)
Option 3 corresponds to Part A
(6x+1)*(3x-7)-(7x²-34x-20)
(18x²-42x+3x-7)-(7x²-34x-20)
(11x²-5x+13)
Option 4 corresponds to Part C
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Chris lost $8.59 playing poker in one week. If this continued, what would be his net
winnings or losses after five weeks?
Answer:
$42.95
Step-by-step explanation:
If Chris lost $8.59 playing poker in one week, in five weeks he would lose $42.95.
$8.59 lost per week.
5 weeks.
$8.59 x 5 = $42.95.
Hope this helps!
If not, I am sorry.
work out the length x in the triangle
Answer:
The length x is 16 m==============
Imagine the height of the triangle is h, which is perpendicular to 15 m side.
The area is:
A = bh/2Use this formula and given values and find the value of h:
60 = 15h/2h = 60*2/15h = 8 mSince h is opposite to 30° angle and x is the hypotenuse of the formed right triangle, we'll use the property of 30°x60°x90° triangle.
Hypotenuse is twice the length of the side opposite to 30° angle.In our case h is opposite to 30° angle, therefore we have:
x = 2h = 2*8 = 16 mAnswer:
x = 16
Step-by-step explanation:
the area (A) of the triangle is calculated as
A = [tex]\frac{1}{2}[/tex] absinC
where a, b are 2 sides of the triangle and C the angle between them
here a = 15, b = x, C = 30° and A = 60 , then
[tex]\frac{1}{2}[/tex] × 15 × x × sin30° = 60
7.5x × [tex]\frac{1}{2}[/tex] = 60 ( multiply both sides by 2 to clear the fraction )
7.5x = 120 ( divide both sides by 7.5 )
x = 16
Find the total surface area of a regular pyramid with a square base if each edge of the base is 16 inches, the slant height of one side is 17 inches, and the altitude is 15 inches.
Answer:
the answer you're looking for is 60 inches
The perimeter of the base is 4 s since it is a square.
p = 4(16) = 64 inchesThe area of the base is s².
B = 16² = 256 inches ²[tex]\boldsymbol{CST=\dfrac{1}{2}(64)(17)+256=544+256=800 \ inches^{2} }[/tex]
[tex]\red{\boxed{\green{\boxed{\boldsymbol{\purple{Pisces04}}}}}}[/tex]
Sahil chooses a number, divides it by 8 , adds 8 to the answer. Then multiples the answer with 8 . He obtains the result as 952 . The number he chooses in the beginning was
USER IS DEAD
TAKE POINTS
Answer:
888
Step-by-step explanation:
Sahil chooses a number, [We'll call it x]
divides it by 8 , [x/8]
adds 8 to the answer. [(x/8) + 8]
Then multiples the answer with 8 . [((x/8) + 8)*8]
He obtains the result as 952 . [((x/8) + 8)*8 = 952]
The number he chooses in the beginning was
((x/8) + 8)*8 = 952
x + 64 = 952
x = 888
CHECK:
Does (888/8 + 8)*8 = 952?
(119)*8 = 952? YES
The number is 888
BD is the bisector of angle ABC Determine the measure of angle ABD
Answer:
45 degrees
Step-by-step explanation:
A bisector divides an angle into two equal parts. Since we are dividing a 90 degree angle by 2, we get a resulting value of 45 degrees.
