The formula for the general term and of the sequence is ±8.
What do we mean by sequence?A sequence in mathematics is an enumerated collection of objects in which repetitions are permitted and order is important. It, like a set, has members (also called elements, or terms). The length of the sequence is defined as the number of elements (which could be infinite). Unlike a set, the same elements can appear multiple times in a sequence at different positions, and the order does matter. Formally, a sequence can be defined as a function from natural numbers (the sequence's positions) to the elements at each position. The concept of a sequence can be expanded to include an indexed family, which is defined as a function from an index set that may or may not is numbered to another set of elements.To find the formula for the given sequence:
Given sequence: 8, 0, 8, 0, So, the formula cen be ±8.+8 to get the terms of odd numbers and -8 to get the terms of even numbers.Therefore, the formula for the general term and of the sequence is ±8.
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h(x) = 18 - 9x + x4, evaluate h(2)
The value of h(2) for the function h(x) = 18 - 9x + x^4 is 16.
According to the given question.
We have a function h(x) = 18 - 9x + x^4
Here, we have to find the value of h(2). For this we will substiute x = 2 in the function h(x) = 18 - 9x + x^4.
Therefore, the value of h(2) for the function h(x) = 18 - 9x + x^4 is given by
h(x) = 18 - 9x + x^4
h(2) = 18 - 9(2) + 2^4
h(2) = 18 - 18 + 16
h(2) = 16
Hence, the value of h(2) for the function h(x) = 18 - 9x + x^4 is 16.
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The cost of bananas varies directly with the number of pounds bought. If 6 pounds
cost $5.22, find the cost of 3 pounds.
Answer:
$2.61
Step-by-step explanation:
So, We have $5.22 for 6 pounds of Bananas.
If we need to find the cost for 3 pounds, we would divide $5.22 by 2 because 6/2=3
In order to do this, we need to turn 5.22 into a whole number, so we multiply by 100
5.22*100=522
Now we divide
522/2 = 261
Now we divide 261 by 100, since we multiplied by 100 earlier.
261/100 =2.61
So our answer is $2.61 for 3 pounds of bananas .
Hope this helps! ^^
Answer:$2.61 for 3 pounds
Thank for the brainliest
Step-by-step explanation:first you divided $5.22/6 because the money always goes on the top and you get 0.87, you multiply 0.87 by 3 which is $2.61
Solve and represent X< -2 or X<5 in all ways
Answer:
x<−2 or x<5
Step-by-step explanation:
x<−2 or x<5
We know either x<−2 or x<5
x<−2(Possibility 1)
x<5(Possibility 2)
PLEASE HELP ! A box contains 5 reams of paper. How could you estimate the thickness of 2 sheets of paper? One ream of paper is 500 sheets.
Answer: the thickness of each sheet of paper is 2in thick.
Step-by-step explanation:
There is none.
If box contains 5 reams of paper, the estimated thickness of 2 sheets of paper is T/1250.
To estimate the thickness of 2 sheets of paper, we can use the given information about the number of reams in the box and the number of sheets in one ream of paper.
First, we know that one ream of paper contains 500 sheets. Since the box contains 5 reams, the total number of sheets in the box is 5 reams × 500 sheets/ream = 2500 sheets.
Next, we can calculate the thickness of one sheet by dividing the total thickness of the reams by the number of sheets. Let's assume the thickness of the 5 reams combined is T.
Thickness of one sheet = T/2500
Now, to estimate the thickness of 2 sheets, we multiply the thickness of one sheet by 2:
Estimated thickness of 2 sheets = (T/2500) × 2 = 2T/2500 = T/1250
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Saeed plans to run 10 km. On the first day, he runs 2 km. What percent of the total distance does he run the first day?
Answer:
He runs 20% or 1/5 of the total distance the first day
Step-by-step explanation:
We know this due to the fact that 2km / 10km is equal to 1/5 and we then know that 1/5 equates to the percentage equivalence value of 20%
Satisfactory internal control ______ the probability of errors or frauds in the accounts.
Satisfactory internal control reduces the probability of errors or frauds in the accounts.
What functions may a strong internal control system perform?
To ensure that goals and objectives are met, effective internal controls are necessary. For management choices, they offer trustworthy financial reports. To reduce the possibility of public scandals, they make sure that applicable laws and regulations are followed.Why are internal controls necessary?
Internal controls are primarily used to protect organizations and advance their goals. Internal controls serve to reduce risks, safeguard assets, maintain record accuracy, enhance operational effectiveness, and promote conformity to laws, rules, and regulations.Learn more about system of internal controls
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Mr.Myers picked 13 1/8 bushels of red delicious apples and 27 2/8 bushels of golden delicious apples. How many bushels of apples did he pick ?
Answer:
40 3/8 bushels of apples
Step-by-step explanation:
13 1/8 bushels and 27 2/8 bushels
13 1/8 + 27 2/8 =
(13 + 27) = 40
(1/8 + 2/8) = 3/8
40 3/8
A local hamburger shop sold a combined total of 380 hamburgers and cheeseburgers on Saturday. There were 70 fewer cheeseburgers sold than hamburgers.
How many hamburgers were sold on Saturday?
Answer:
310 hamburgers were sold on Saturday
Step-by-step explanation:
1x + 70 =380
-70 -70 Reverse
1x = 310
/1 /1 Divide
x =310
Rewrite literal equations.
Solve for m:
e=mc squared.
Answer:
m = e/c
Step-by-step explanation:
Suppose that the height of the slide is 2 feet, when x = 20. what is t brainlyhe average rate of change over the entire slide?
The average rate of change over the entire slide is 0.01 per unit.
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.
The slope of a line is defined as the change in y coordinate with respect to the change in x coordinate of that line. The net change in y coordinate is Δy, while the net change in the x coordinate is Δx. So the change in y coordinate with respect to the change in x coordinate can be written as,
Introduction to Slope of a Line | The slope of line is the measure of steepness or the direction of line the coordinate plane.
m = Δy/Δx
where, m is the slope
Note that tan θ = Δy/Δx
We also refer this tan θ to be the slope of the line
Given,
the height of the slide = 2 feet
the value of x is 20 units
The average rate of change is the slope of the line
Therefore, the rate of change over the entire slide will be,
Rate of change = 2/20 = 0.1 feet per unit
Hence, the rate of change is 0.1 feet per unit.
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x^3=-115 pleasess i need the answer now
Answer:
x = -∛115
Step-by-step explanation:
x^3 - (-115) = 0
= x^3 + 115
Factoring
(a+b) • (a^2-ab+b^2) =
a^3-a^2b+ab^2+ba^2-b^2a+b^3 =
a^3+(a^2b-ba^2)+(ab^2-b^2a)+b^3=
a^3+0+0+b^3=
a^3+b^3
(115 isn't a cube.)
Polynomial roots
P: -1, -5, -23, -115, 1, 5, 23, 115
Q: 1
P/Q: -1, -5, -23, -115, 1, 5, 23, 115
Divisor(s): None
In these sets of data, there are no rational roots shown.
Step-by-step explanation(part 2):
x^3 + 115 = 0
x^3 = -115
x = ∛-115
Negative numbers will always have real cube roots.
∛ -115 = ∛ -1 × 115 = ∛ -1 × ∛ 115 = (-1) × ∛ 115
Therefore,
x = -∛115
–6.4 − 7.2 what is the an
Answer:
-13.6
Step-by-step explanation:
Use the keep change change method when subtracting negative number. So, it would look like this: -6.4 + -7.2 = -13.6.
After adding them, just add a negative sign in front of your answer since you're adding two negative numbers.
Let me know if you don't understand or need more explanation.
In the diagram, roads a and b are parallel.
Solve for x and find the measure of VTU.
Answer:
102
Step-by-step explanation:
<QRT and <VTU are alternate exterior angles, so they are congruent.
m<QRT = m<VTU
x + 40 = 2x -22
62 = x
m<QRT = x + 40 = 62 + 40 = 102
m<VTU = 2x - 22 = 62*2 - 22 = 124 - 22 = 102
A county has 225 acres of vacant land.
Residents voted to turn some of the vacant land
into parks. Now, there are 36% less acres of
vacant land. How many acres of vacant land
does the county have now?
The acres of vacant land that the county have now will be 144 acres.
How to calculate the value?Since 36% has been used, the remaining percentage will be:
= 1 - 36%
= 64%
Therefore, the acres of vacant land that the county has now will be:
= 64% × 225
= 64/100 × 225
= 0.64 × 225
= 144
Therefore, the acres of vacant land that the county have now will be 144 acres.
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Melissa bought a new dishwasher for$1,200. The manufacturer is offering a 15% rebate. How much will the dishwasher cost after the rebate?
Answer:
$1020.00
Step-by-step explanation:
15% means 15/100 divide by 100 and you get .15
.15 x 1200 gives us the rebate. The rebate is 180. We subtract that from 1200. 1200 -180 = 1020
Another way to think about this, is that we are taking 15% off we are leaving on 85%
.85 x 1200 = 1020
Work out the area of the shaded shape.
3cm
4cm
What transformation would take triangle ABD to A’B’D ( translation, reflection , or rotation ) ?
Answer: Rotation
Step-by-step explanation:
Round 19.8 to 1 significant figure
Answer:
20
Step-by-step explanation:
the 0 is not significant since it is not sandwiched between 2 sigfigs and is not the last digit after a decimal
shae used the product of rule to prove that 7 to 0 power is equal to 1
Answer:
yes a product of any number to 0 is equal to 1
Solve the equation
3(4z-7)=-21+12z
Answer:
Step-by-step explanation:
Let's open the brackets,
12z - 21 = -21 + 12z (distributive property)
12z - 12z = -21 + 21
0z = 0
z = 0
Help please!! I need it quick
Applying the triangle proportionality theorem, the length of line EC is: 7.2 units.
How to Apply the Triangle Proportionality Theorem?Since lines AC and DE are parallel to each other in the triangle, and DE intersects sides AB and AC, then we would have the following proportion based on the triangle proportionality theorem:
BD/DA = CE/EA
BD = 18 units
DA = 15 units
CE = ?
EA = 6 units
Plug in the values
18/15 = CE/6
(18)(6) = (CE)(15)
108 = CE(15)
Divide both sides by 15
108/15 = CE(15)/15
7.2 = CE
EC = 7.2 units
Therefore, applying the triangle proportionality theorem, the length of line EC is: 7.2 units.
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Which relation is represented by the arrow diagram?
{(-0.5, -1), (1,7), (0.5, -0.2), (3.2, 1)}
{(3.2, 1), (0.5, -0.2), (1,1), (-0.5, 7)}
{(-1, -0.5), (7, 1), (-0.2, 0.5), (1, 3.2)}
{(-0.5, -1), (1, 7), (0.5, 1), (3.2, -0.2)}
Answer:
first order
Step-by-step explanation:
they're basically a linear function. to make it easier you could just put the coordinates on the side of the table.
You order three sandwiches. The tax was 8% off and you tip 5 dollars, You pay a total of $20.66. How much does one sandwich cost?
The cost of one sandwich is $5.7
How to determine the cost of one sandwich?The given parameters are:
Order = 3
Tax = 8% off
Total cost = $20.66
Tip = $5
The cost of one sandwich is calculated as:
Total cost = Order * Cost of One (x) * (1 - tax) + Tip
This gives
20.66 = 3 * x * (1 - 8%) + 5
Subtract 5 from both sides
15.66 = 3 * x * (1 - 8%)
Make x the subject
x = 15.66/[3 * (1 - 8%)]
Evaluate
x = 5.7
Hence, the cost of one sandwich is $5.7
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jeremy has 25 marbles, he gives 5 to his teacher, then he give five to his best friends. once he gets home he gives 5 to his sister right the terms in order to determine how many marbles he has
Answer: 25 - 15 = 10
Step-by-step explanation:
Point N is the midpoint of segment FG. If FN = 2z2 + 4z +3, write the expression below that represents FG.
The center of segment FG is located at point N. Write the formula that expresses FG if FN = 2z2 + 4z + 3.
Since O represents the midway, both FO and OG must be equal.
3x + 17 = 7x - 15
Add 3x to both sides and subtract:
17 = 4x -15
To both sides, add 15:
32 = 4x
Subtract 4 from both sides:
x = 32/4
X = 8
Now that you know the value of X, find the lengths:
FO = 3x +17 = 3(8) +17 = 24 +17 = 41
OG = 7x -15 = 7(8) -15 = 56-15 = 41
Total length would be 41 + 41 = 82
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find the length of a diagonal of a rectangular room of length 5 m, width 3 m and height 2.5 m
Answer:
What you are looking for is the length of the 'solid diagonal'. First we need to find the length of the base diagonal. That can be done easily using Pythagorean theorem. 52+32−−−−−−√=6. Now this diagonal is a leg of the bigger right triangle whose hypotenuse is the required solid diagonal. You can see this from amd's picture. So apply Pythagorean theorem again. 62+(2.5)2−−−−−−−−−√=37.25−−−−√. You can work that out with a calculator.
In general for a cuboid with dimensions a, b and c(order doesn't matter), the solid diagonal is: a2+b2+c2−−−−−−−−−−√
Step-by-step explanation:
Answer:
√62+(2.5)2=√37.25.
Step-by-step explanation:
What you are looking for is the length of the 'solid diagonal'. First we need to find the length of the base diagonal. That can be done easily using Pythagorean theorem.  52+32=6" role="presentation" style="margin: 0px; padding: 0px; border: 0px; font-style: normal; font-variant: inherit; font-weight: normal; font-stretch: inherit; line-height: normal; font-family: inherit; font-size: 15px; vertical-align: baseline; box-sizing: inherit; display: inline; text-indent: 0px; text-align: left; text-transform: none; letter-spacing: normal; word-spacing: normal; overflow-wrap: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; position: relative;"> 52+32−−−−−−√=6 52+32=6. Now
17k to 19.04k increase. What is the percent increase?
Need Answered ASAP
Answer:
4 %
Step-by-step explanation:
Find an equation of the sphere determined by the given information. passes through the point (8, 3, -3), center (5, 6, 5)
The equation of the sphere is
[tex]x^{2} +y^{2}+z^{2}+-10x-12y-10z+4=0[/tex]
The standard form of the equation of the sphere is :
[tex](x-a)^{2}+(y-b)^{2}+(z-c^{2} )=r^{2}[/tex]
Where A (a, b , c) is the center and r is the radius.
From the question we should first find the radius
r = [tex]\sqrt{(x-a)^{2}+(y-b)^{2}+(z-c)^{2}[/tex]
Point = (x , y , z) = (8 , 3 , -3)
Center = (a, b , c)= (5 , 6 ,5)
Substituting it in the formula
r = [tex]\sqrt{(8-5)^{2}+(3-6)^{2}+(-3-5)^{2} }[/tex]
By further calculation
r = [tex]\sqrt{9+9+64}[/tex]
So, we get
r =[tex]\sqrt{82}[/tex]
Substituting it in the standard form
[tex](x-5)^{2}+(y-6)^{2}+(z-5)^{2}=\sqrt{82}^{2}[/tex]
[tex](x-5)^{2} +(y-6)^{2} +(z-5)^{2}=82[/tex]
[tex]x^{2} +y^{2}+z^{2}+25+36+25-10x-12y-10z=82[/tex]
[tex]x^{2} +y^{2}+z^{2}+-10x-12y-10z+86-82=0[/tex]
[tex]x^{2} +y^{2}+z^{2}+-10x-12y-10z+4=0[/tex]
Therefore, the equation of the sphere is
[tex]x^{2} +y^{2}+z^{2}+-10x-12y-10z+4=0[/tex]
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Consider any subset of the real numbers that consists only
of negative numbers. What can you conclude about whether the set is closed
under multiplication?
Explain.
Answer: Not closed under multiplication
====================================================
Explanation:
Pick any two negative numbers that you want.
I'll go for -3 and -5
They multiply to (-3)*(-5) = 15 which is a positive number. The two negatives cancel out to form a positive.
This is an example to show that multiplication is not closed for this subset of the real numbers. We consider it to be closed if the result of any two negative numbers multiplied would get us some other negative number.
In a sense, this is the complete opposite of closed since the result is never negative.
Here's an example of a set that is closed under multiplication: integers
Picking any two integers and multiplying them together gets us some other integer. Each item is found in the same set, i.e. the result never leaves or goes outside the set.
answer this question
Answer: 166
We’ll give it your best mate keep it up