Calculate the missing terms of each arithmetic sequence given below. Each row represents an arithmetic sequence in which the first and the last term are given. First term -20 54 10 Second tern Third term Fourth term 19 105 -14
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Answer:
Step-by-step explanation:
Related Questions
use a graph and a table to solve the equation. round to the nearest thousandth if necessary x2 – 7x - 5 = 1/2x - 4
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Answer:The nearest thousand is 6,0000Step-by-step explanation:
The quadratic functions shown are written in factored form. The roots of a quadratic function will make the factors equal to 0.
Drag each function to show whether it has roots at x=−1 and x=4, roots at x=−4 and x=−1, or neither.
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The roots of the given factored form of the quadratic functions indicates that the functions that have the specified roots are as follows;
Roots x = -1 and x = 4
g(x) = (x + 1)•(2•x - 8)
j(x) = (-1 - x)•(x - 4)
k(x) = (-3 - 3•x)•(3•x + 12)
Roots x = -4 and x = -1
k(x) = (x + 1)•(x + 4) = 0
Neither
m(x) = (3 - 3•x)•(3•x - 12)
f(x) = (x -1)•(x - 4)
How are the roots of a function?The roots of a function are the x–values of the x-intercepts
The given functions are;
k(x) = (x + 1)•(x + 4)
The roots are given when k(x) = 0, which are;
k(x) = (x + 1)•(x + 4) = 0
Which gives;
(x + 1) = 0, or (x + 4) = 0
The roots are therefore;
Roots x = -4 and x = -1g(x) = (x + 1)•(2•x - 8)
Which at the solution gives;
g(x) = 0 = (x + 1)•(x - 4)
Therefore;
Roots x = -1 and x = 4j(x) = (-1 - x)•(x - 4)
At a solution, we have;
j(x) = 0 = (-1 - x)•(x - 4)
Therefore;
At the roots, x = -1 and x = 4k(x) = (-3 - 3•x)•(3•x + 12)
At a solution, we have;
k(x) = 0 = (-3 - 3•x)•(3•x + 12)
-3 - 3•x = 0
x = 3/(-3) = -1
Roots x = -1 and x = 4m(x) = (3 - 3•x)•(3•x - 12)
At a solution, we have;
m(x) = 0 = (3 - 3•x)•(3•x - 12)
3 - 3•x = 0, 3•x - 12 = 0
x = 3/3 = 1, x = 12/3 = 4
Roots x = 1 and x = 4f(x) = (x -1)•(x - 4)
At the solution, we have;
x - 1 = 0, x - 4 = 0
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Determine whether the pair of equations is
parallel, perpendicular or neither.
y = 5x + 2
10x – 2y = 6
O parallel
O perpendicular
O neither
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Answer:
The answer is neither.
Step-by-step explanation:
We need to solve for y in the equation, 10x-2y= 6.
In other words, we are going to find the slope intercept of that equation.
\(10x - 2y = 6 \\ \frac{ + 10x = + 10x}{ - 2y = 10x + 6} \\ \\ \frac{ - 2y }{ - 2} = \frac{10x + 6}{ - 2} \\ y = - 5x - 3\)
So we have now have both the equations:
\(y = 5x + 2 \\ and \\ y = - 5x - 3\)
It's not parallel because the slopes aren't the same. It's not perpendicular because when the slope of the equation becomes a negative reciprocal, it still doesn't end up with the same slope as the other equation.
It's neither parallel or perpendicular.
Please answer with explanation
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Answer:
(-3,-5) and (4,9) have the y-intercept of (0,1)
Step-by-step explanation:
to be honest i just used this graph to figure it out
What is 3 divided by 48
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Answer:
uhhh 16
Step-by-step explanation:
Answer:
16
Step-by-step explanation:
someone help..... pls
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Answer:
Go right 4 blocks. Then go down 3 blocks.
Step-by-step explanation:
From Brianna's house at (1,6), move 4 blocks to the right and you will be at (5,6). Next, move 3 blocks down and you will be at Jordan's house at (5,3).
The Earth has a diameter of about 7,917.5 miles. What is the surface area of our planet? (Show your work, including the formula, along with your answer. Round your answer to the nearest tenth)
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Answer:
196,836,571.6 miles²
Step-by-step explanation:
the earth is shaped like a sphere. the surface area of the earth can be determined by calculating the surface area of a sphere
surface area of a sphere = 4πr²
π= 3.14
r = 7,917.5 / 2 = 3958.75 miles
the diameter is the straight line that passes through the centre of a circle and touches the two edges of the circle.
A radius is half of the diameter
the tenth is the first number after the decimal place. To convert to the nearest tenth, look at the number after the tenth (the hundredth). If the number is greater or equal to 5, add 1 to the tenth figure. If this is not the case, add zero
4 x 3.14 x 3958.75² = 196,836,571.6 miles²
a home-improvement store offers a new brand of lawn food that claims to reduce the number of weeds by 30% over a different brand of lawn food. to test the claim, a homeowner plans to use the new brand of lawn food on half of his lawn and the original brand on the other half. the homeowner will count the number of weeds that appear after a month on each half of the lawn. a neighbor explains that there may be confounding variables, such as shade, that might also explain the relationship. which statement best describes the effect of the confounding variables? because of confounding variables, the homeowner should only put the new lawn food on shady spots and the original brand on sunny spots. because shade is a primary cause of weed growth, the brand of lawn food used in shady or sunny spots will not affect the number of weeds. if the half of the lawn with the new lawn food shows fewer weeds after a month, this will prove the new lawn food is better at stopping weed growth. the parts of the lawn that receive the new lawn food may also get more shade than other parts of the lawn, and the shade might also cause fewer weeds.
Answers
Answer: D
Step-by-step explanation: The part of the lawn that receive the new lawn food may also get more shade than other parts of the lawn. And the shade might also cause fewer weeds
2. Given the function f(x)=x^{2}-x , answer the following questions showing all work: a. Find the average rate of change on the intervals ( 10 points) i. ( [-1,2] ) ii. [2,2+a] Note that this solution will be a formula. b. Sketch a well labeled graph on graph paper of f(x)=x^2 −x. Make sure the graph is large enough that the following can be drawn in the graph. i. Sketch a secant line representing each of the above average rates. This means I should see the graph plus three secant lines with each labeled. Let a=1 for the last average rate. c. What do the average rates in part a suggest about the concavity? Explain. Is this consistent with the graph in part b ?
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a. To find the average rate of change on the given intervals, we use the formula:
Average Rate of Change = (f(b) - f(a)) / (b - a)
i. For the interval [-1, 2], the average rate of change is:
( f(2) - f(-1) ) / (2 - (-1)) = ( (2^2 - 2) - ((-1)^2 - (-1)) ) / (2 + 1) = ( 2 - 1 - 1 + 1 ) / 3 = 1/3
ii. For the interval [2, 2 + a], the average rate of change is:
( f(2 + a) - f(2) ) / (2 + a - 2) = ( (2 + a)^2 - (2 + a) ) / a = ( 4 + 4a + a^2 - 2 - a ) / a = ( a^2 + 3a + 2 ) / a
b. To sketch the graph of f(x) = x^2 - x, we plot the points on a graph paper. The graph will be a parabola opening upwards. For the secant lines, we choose three different values of a:
i. Secant line for the interval [-1, 2]:
Plot the points (-1, f(-1)) and (2, f(2)), and draw a line passing through these points.
ii. Secant line for the interval [2, 3]:
Plot the points (2, f(2)) and (3, f(3)), and draw a line passing through these points.
iii. Secant line for the interval [2, 3]:
Plot the points (2, f(2)) and (2 + a, f(2 + a)), and draw a line passing through these points.
c. The average rates of change calculated in part a suggest the rate at which the function is changing over the given intervals. For the interval [-1, 2], the average rate of change is positive (1/3), indicating that the function is increasing. For the interval [2, 2 + a], the average rate of change is (a^2 + 3a + 2) / a, which depends on the value of a.
In terms of concavity, the average rates of change suggest that the function is concave up (or has a positive concavity) over the given intervals. This is consistent with the graph in part b, as the parabola opens upwards, indicating a positive concavity.
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How would you "say" the image on the right?
A.) Prime A, B, C, and D
B.) A prime, B prime, C prime, D prime
Answers
Answer:
a
Step-by-step explanation:
prime abc and d
hope this helps
katie drove for 300 miles to washigton dc and it took her 6 hours. at the same rate, how long would it take sarah to drive 450 miles
Answers
Answer:
540 minutes or 9 hours :)
Step-by-step explanation:
What I did is I multiplied 6 hours by 60 minutes. Or for the hours skip that step.
6x60=360 or 6/300=0.02
360/300=1.2 or 0.02x450=9
1.2 x450= 540 or 9 hours
540 minutes
540 minutes or 9 hours :D
Goodluck <3
Hope this helps!
please answer the following
please explain how you got your answer
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Answer:
P(1) = 4/20 or 1/5
P(2) = 3/20
P(3) = 7/20
P(4) = 6/20 or 3/10
Step-by-step explanation:
Crystal spun the spinner 20 times. 1 was the outcome 4 times out of 20 spins, so the experimental probability would be 4/20 or 1/5. Same goes for all the other ones.
I choose 10 consecutive numbers. if I exclude one of the numbers the remaining 9 sum to 2023 which number did I exclude?
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Answer:
the number 228
Step-by-step explanation:
Let's call the smallest number in the consecutive sequence "x". Then, the 10 consecutive numbers are x, x+1, x+2, x+3, x+4, x+5, x+6, x+7, x+8, and x+9.
If we exclude one of these numbers, then the sum of the remaining 9 numbers would be:
(x) + (x+1) + (x+2) + (x+3) + (x+4) + (x+5) + (x+6) + (x+7) + (x+8) or 9x + 36.
We know that the sum of the remaining 9 numbers is 2023, so we can set up the equation:
9x + 36 = 2023
Solving for x, we get:
9x = 1987
x = 221
Therefore, the smallest number in the consecutive sequence is 221, and the 10 numbers are 221, 222, 223, 224, 225, 226, 227, 228, 229, and 230.
If we exclude the number 228, then the sum of the remaining 9 numbers is 2023.
The graphs show the distances traveled by two cars moving at constant rates which unit rate matches these 2 graphs pls helpppp
Answers
Answer:
i think is (0.5,25)
Step-by-step explanation:
becuse at the time they have the same speed
Answer:
z
Step-by-step explanation:
z
A triangle is graphed on a coordinate grid and then translated 10 units
to the left and 5 units up. If one of the vertices of the original triangle
is located at (-2,-7), what is the ordered pair of this vertex of the new
triangle after the translation?
Answers
Answer:
(-12, -2)
Step-by-step explanation:
We need to subtract 10 from the x coordinate and add 5 to the y coordinate.
the proportion of the variation in the values of a response y that is explained by the least-squares regression of y on x is:
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The proportion of the variation in the values of a response y that is explained by the least-squares regression of y on x is: square of correlation coefficient.
What is square of correlation coefficient?
A helpful number in linear regression is the square of the correlation coefficient, or r2.
The percentage of the variance in one variable that can be partially explained by another variable is represented by this value.
The summary table in the Regression output contains the "R" value, which is the coefficient of correlation.
Coefficient of determination is another name for R square. To calculate R squared, multiply R by R.
The square of the correlation coefficient is what is meant by the term "coefficient of determination."
Hence, the proportion of the variation in the values of a response y that is explained by the least-squares regression of y on x is: square of correlation coefficient.
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3
1
2
3
7
1 point
Nico wants to place a fence around a rectangular play area for his rabbits. The play area will be 7 feet long and 4 feet wide.
What is the total length of fence, in feet, that Nico needs to place around the play area?
Hint: It might help to draw a picture.
type your answer...
Answers
Based on the above, Nico needs 22 feet of fence to enclose the play area.
What is the length about?To find the total length of fence needed, we need to calculate the perimeter of the rectangular play area.
The perimeter is the sum of the lengths of all four sides.
For a rectangle, the opposite sides have the same length. In this case, the opposite sides are both 7 feet long, and the other two opposite sides are both 4 feet long.
So, the perimeter is:
P = 2(7 ft) + 2(4 ft)
P = 14 ft + 8 ft
P = 22 ft
Therefore, Nico needs 22 feet of fence to surround the rectangular play area.
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Which direction does the parabola below open?
y + 5 = -1/4 (x + 8)^2
A. Up
B. Left
C. Down
D. Right
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The parabola represented by the equation y + 5 = -1/4 (x + 8)^2 opens in the upward direction.
Therefore, the correct answer is:
A. Up
\(\huge{\mathfrak{\colorbox{black}{\textcolor{lime}{I\:hope\:this\:helps\:!\:\:}}}}\)
♥️ \(\large{\textcolor{red}{\underline{\mathcal{SUMIT\:\:ROY\:\:(:\:\:}}}}\)
What is the length of line segment CD?* 6. #4 3 •C с 1 A B 4 6
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you can use the formula to find the distance between two points
remember
Let
\(\begin{gathered} P1(x_1.y_1) \\ P2(x_2,y_2) \end{gathered}\)the distance between P1 and P2 is
\(d=\sqrt{(x_2-x_1_{})^2+(y_2-y_1)^2}\)Step 1
Let
P1=C(7,2)
P2=D(4,2)
Step 2
replace to find d
\(\begin{gathered} d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2} \\ d=\sqrt{(2-2)^2+(4-7)^2} \\ d=\sqrt{-3^2} \\ d=\sqrt{9} \\ d=3 \end{gathered}\)so, the length of line segment CD is 3 units
Have a great day
please help asap , explain how you got the answer .
Answers
Answer:
f(x)= -2/5x-4
Step-by-step explanation:
-2/5 is the slope and -4 is the y intercept
You need both longitude and latitude to find the exact location on a map. Longitude lines/latitude lines. Are lines that run north to south and divide the world into eastern and Western Hemisphere.longitude lines/latitude lines.that run eats to west and divide the world into northern and Southern Hemispheres
Answers
Answer:
1.Latitude
2.Longitude
Step-by-step explanation:
:D Hope this helps
Scalar and Matrix Multiplication:
Answers
Answer:
C
Step-by-step explanation:
When multiplying scalars and matrices, just distribute the scalar to every component of the matrix. So 4*6=24, -2*6= -12, 6*6 = 36, 7*6 = 42, 3*6 = 18, and 0*6 = 0.
Help!
Simplify:
2[45 ÷ (11 - 8) to the 2nd power] - 3
Answers
Answer:
The answer is 7
Step-by-step explanation:
Hope this helped :)
This is worth 20 points.
Find the slopes of segments CS and KP, and then determine whether they are parallel, perpendicular, or neither.
C(−6, −7),
S(−3, −5),
K(3, 3),
P(9, 7)
Answers
Answer:
CS M=2/3 , KP M=2/3
Step-by-step explanation:
Neither because, they have the same slope but CS is negative so, the slopes are in a line.
What is the missing value in this table of equivalent ratios?
Answers
Answer:
A
Step-by-step explanation:
follow the pattern in its timetables,hope this helps u!
This is 9th-grade math
Answers
An inequality for the graph above is y ≤ -3x + 6.
How to determine an equation of this line?In Mathematics and Geometry, the point-slope form of a straight line can be calculated by using the following mathematical equation (formula):
y - y₁ = m(x - x₁)
Where:
x and y represent the data points.m represent the slope.First of all, we would determine the slope of this line;
Slope (m) = (y₂ - y₁)/(x₂ - x₁)
Slope (m) = (-3 - 6)/(3 - 0)
Slope (m) = -9/3
Slope (m) = -3
At data point (0, 6) and a slope of -3, a linear equation for this line can be calculated by using the point-slope form as follows:
y - y₁ = m(x - x₁)
y - 6 = -3(x - 0)
y = -3x + 6
y ≤ -3x + 6 (since the solid line is shaded below).
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Represent the following sentence as an algebraic expression, where "a number" is the letter x. \text{a number raised to the third power.} a number raised to the third power.
Answers
Answer: #x^3
Step-by-step explanation:
"A number " is represented by the letter xA number (x) raised (^) the third power will be,x^3
note: An algebraic expression doesn't have an equal sign (=)
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Which function matches the table? Number of Days Rented 1 2 3 4 Rental Cost ($) 12 17 22 27 A. f(x) = 5x B. f(x) = 5 + 5x C. f(x) = 7 + 5x D. f(x) = 12 + 5x
Answers
Then the equation that represents the total rent will be y = 5x + 7. Then the correct option is C.
What is a linear equation?A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.
The linear equation is given as,
y = mx + c
Where m is the slope of the line and c is the y-intercept of the line.
The table is given below.
Number of Days Rented Rental Cost ($)
1 12
2 17
3 22
4 27
At x = 1, the value of y is 12.
12 = m + c ...1
At x = 2, the value of y is 17.
17 = 2m + c ...2
Subtraction equation 1 from equation 1, then we have
2m - m = 17 - 12
m = 5
Then the value of 'c' is given as,
17 = 2 x 5 + c
17 = 10 + c
c = 7
Then the equation that represents the total rent will be y = 5x + 7. Then the correct option is C.
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The net of a right rectangular pyramid is shown. All dimensions are in meters.
What is the surface area of the rectangular pyramid?
Answers
The total surface area of the right rectangular pyramid is 4 × 0.3 + 3 = 3.6 square meters.
What is surface area?Surface area is a two-dimensional measure that refers to the total area of a surface, such as the area of a two-dimensional shape, a three-dimensional solid, or a combination of both. It is the sum of the areas of all the faces of a solid object. It is also referred to as the area of the boundary of a three-dimensional object. It can be used to calculate the volume of an object, and is also used in other calculations like area of the base of a triangle, area of a circle, and more.
The surface area of a right rectangular pyramid is the sum of the area of the four triangles and the area of the rectangular base. To calculate the surface area we need to first calculate the area of the four triangles. The base of each triangle is 1 meter, and the height of each triangle is 0.6 meters. Therefore, the area of each triangle is 0.3 square meters. The area of the rectangular base is 3×1 = 3 square meters. So, the total surface area of the right rectangular pyramid is 4 × 0.3 + 3 = 3.6 square meters.
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Leo reads 11 pages in 1/4 hours what is the unit rate for pages per hour
Answers
Given data:
The number of pages reads in 1/4 hours is 11.
The given statement can be express as,
\(\begin{gathered} \frac{1}{4}h=11\text{ pages} \\ 1h=44\text{ pages} \end{gathered}\)Thus, rate of pages read in an hour is 44.