Answer: The divisor is the thing you are dividing by. The divident is what are dividing.
Step-by-step explanation:
The sum of the first n consecutive even numbers can be found using S=n^2+n where n ≥ 2. What is the value of n when the sum is 210?
Answer:
n = 14Step-by-step explanation:
Given the sum of the first n consecutive even numbers expressed as
S=n^2+n where n ≥ 2.
If S = 210, then;
210 = n² + n
n² + n - 210 = 0
Factorize
n = -1±√1²-4(-210)/2
n = -1±√1+840/2
n = -1±√841/2
n = -1±29/2
n = -1+29/2 and -1-29/2
n = 28/2 and -30/2
n = 14 and -15
Since n ≥ 2, hence the required value of n is 14
What are the first 3 terms in. t(n)=-2n+7
Answer:
The first 3 terms of the sequence [tex]t(n)=-2n+7[/tex] are:
[tex]5, 3, 1[/tex]
Step-by-step explanation:
Given the sequence
[tex]t(n)=-2n+7[/tex]
Here [tex]n[/tex] represents any term number in the sequence
Determining the first term
substitute n = 1 in the sequence to determine the first term
[tex]t(n)=-2n+7[/tex]
[tex]t(1)=-2(1)+7[/tex]
[tex]t(1)=-2+7[/tex]
[tex]t(1) = 5[/tex]
Determining the 2nd term
substitute n = 2 in the sequence to determine the 2nd term
[tex]t(n)=-2n+7[/tex]
[tex]t(2) = -2(2) + 7[/tex]
[tex]t(2) = -4 + 7[/tex]
[tex]t(2) = 3[/tex]
Determining the 3rd term
substitute n = 3 in the sequence to determine the 3rd term
[tex]t(n)=-2n+7[/tex]
[tex]t(3) = -2(3) + 7[/tex]
[tex]t(3) = -6 + 7[/tex]
[tex]t(3) = 1[/tex]
Therefore, the first 3 terms of the sequence [tex]t(n)=-2n+7[/tex] are:
[tex]5, 3, 1[/tex]
DO NOT ANSWER WITHOUT SHOWING YOUR WORK
2. A supermarket display consists of boxes of cereal. The bottom row has 33 boxes. Each row has five fewer boxes than the row below it. The display has six rows.
(a) Write and use a function to determine how many boxes are in the top row. Show your work.
(b) Use the appropriate formula to determine the number of boxes in the entire display. Show your work
Answer:
a. f(x)=58-5(x-1); there are 58 boxes in the top row.
b. 273 boxes
Step-by-step explanation:
There are 33 boxes at the bottom row, and there are 5 fewer boxes than the row before it meaning that each row above the bottom row has five more boxes than the one below it.
Basically:
bottom row (with 33 boxes) -->5th row-->4th row-->3rd row-->2nd row-->1st row
each arrow adds five boxes, so if you add 5 boxes for each arrow, there is a total of 58 boxes on the 1st row.
check:
2nd row:
f(x)=58-5(x-1)
f(2)=58-5(2-1)
f(2)=58-5(1)
f(2)=58-5
f(2)=53
and we know that 58 (first row)-5=53 (second row; has to have five fewer boxes) so the function works.
now we can use the formula to find the other row values:
3rd row:
f(x)=58-5(x-1)
f(3)=58-5(3-1)
f(3)=58-5(2)
f(3)=58-10
f(3)=48
4th row:
f(x)=58-5(x-1)
f(4)=58-5(4-1)
f(4)=58-5(3)
f(4)=58-15
f(4)=43
5th row:
f(x)=58-5(x-1)
f(5)=58-5(5-1)
f(5)=58-5(4)
f(5)=58-20
f(5)=38
so, we have the row values from top to bottom:
58, 53, 48, 43, 38, 33
now we just have to add them up, giving us 273 boxes in total.
Pls help!! Zoom in to see better
Answer:
4×[tex]10^{12}[/tex]
Step-by-step explanation:
My calculator
A car moving on a highway covers the first 400.0 m in 18.0s and then covers the next 250.0 m in 24.0 s.
What is the average speed of the car?
Answer: 15.48 m/s
Step-by-step explanation:
The following information can be gotten from the question:
Total distance covered by the car will be:
= 400m + 250m
= 650m
Total time taken = 18.0s + 24.0s = 42s
Average speed = Distance/Time
= 650/42
= 15.48 m/s
Put them in order :2.34,-3,5,2
Answer:
-3,2,2,5,34
Step-by-step explanation:
Answer:-3,2,2,5,34
Step-by-step explanation:
Required
1. Find the missing length of the right triangle when "a" and "b" represent leg length and "c"
represents the length of the hypotenuse. If necessary, round to the nearest tenth
B=5
C=12
Answer:
12^2-5^2=a^2
144-25=a^2
119=a^2
A=10.91
Step-by-step explanation:
Solve for
9(x + 1) = 25+x
Answer:
2
Step-by-step explanation:
9(x+1)=25+x
9x+9=25+x
9x-x=25-9
8x=16
x=16/8
x=2
por que se a incrementado el uso del oxigeno medicinal en la epoca de pandemia
por el coronavirus
dificulta la respiracion
espero te ayude
9.Find the side of a cube whose surface area is 5400cmsquare.
Answer:
a=square root of a/6 = square root of 5600/6 = 30
i would like to have my brainliest naw, thx
what is this property 25x0=0
Answer:
zero property
Step-by-step explanation:
if it equals zero its zero property
Use the inequality sign to show which situation has the greater unit rate.
10 tomatoes for $3.15
>
18 potatoes for $4.10.
Answer:
10 tomatoes for 3.15 > 18 potatoes for 4.10
Step-by-step explanation:
I need help!!! I don’t know what to do
Answer:
5km
Step-by-step explanation:
1/2xbxh
1/2x 2x5= 5
Answer:
5 km.
Step-by-step explanation:
1/2 times base times height.
1/2 times 5 times 2
= 5
How does rewriting the mixed numbers as whole numbers and fractions make it easier to multiply?
Answer:
A
Step-by-step explanation:
questions in this section.
1. State whether each of the following statements is TRUE or FALSE on the line provided
a.
All whole numbers are integers.
b. The number 2 is the only prime number that is an even number.
C.
An odd number can be a prime number.
d. The number 1.5 is an integer.
e. Zero is NOT a natural number.
Answer:
a true
b true
c true
d false
e true
A polynomial equation with rational coefficients has roots +5 plus 12 i and −−negative 9 minus 7 i. List two more roots of the equation.
Answer:
The additional roots are: [tex]5 - 12i[/tex] and [tex]-9 + 7i[/tex]
Step-by-step explanation:
Given
Roots: [tex]5 + 12i[/tex] and [tex]-9 -7i[/tex]
Required
Determine two additional roots
For a polynomial with two rational roots, the additional roots are the conjugates of the roots.
Take for instance, the following expression:
[tex]a + \sqrt b[/tex]
The conjugate of [tex]a + \sqrt b[/tex] is: [tex]a - \sqrt b[/tex].
Having established how to determine the additional roots, we proceed to determine the roots.
The conjugate of [tex]5 + 12i[/tex] is [tex]5 - 12i[/tex] and the conjugate of [tex]-9 -7i[/tex] is [tex]-9 + 7i[/tex]
Hence, the additional roots are: [tex]5 - 12i[/tex] and [tex]-9 + 7i[/tex]
18 = r/3 what is r???
Answer:
54
Step-by-step explanation:
r/3 = 18
r/3 * 3 = 18 * 3
r = 54
Answer:
54
Step-by-step explanation:
multiplication is the opposite of division so you can do 18*3=54 and you can check that by dividing 54 and 3 and the answer is 18
For what value of 'k will (x - 1) be a factor of 4x^3 +kx^2 - 7x - 10?
Answer:
k = 13
Step-by-step explanation:
If (x-1) is a factor, then f(1) = 0
4*1 + k*1 - 7*1 - 10 = 0
4 + k - 7 - 10 = 0
k - 13 = 0
k = 13
In a fundraiser, Mrs. Smith pledges $1 for each mile walked . If Sam walks 20 miles how much will Mrs. Smith donate?
Número que tiene dos centenas, cero decenas y nueve unidades
Answer: 209
Step-by-step explanation:
Si un número tiene 2 centenas, significa 200. Si tiene 0 decenas, entonces debería haber un 0 en el lugar de las decenas. Si un número tiene 9 unos, entonces debería haber un 9 en el lugar de las unidades. Debido a esto, el número con Número que tiene dos centenas, cero decenas y nueve unidades es 209.
English answer:
If a number has 2 hundreds, it means 200, and there should be a 2 in the hundreds place. If it has 0 tens, then there should be a 0 in the tens place. If a number has 9 ones, then there should be a 9 in the ones place. Because of this, the number with Number that has two hundreds, zero tens, and nine ones is 209.
Domain and range anyone?
Answer:
second one
Step-by-step explanation:
range is the y values
How many terms are in the expression 6y-7+4y-2a
Answer: 3
Step-by-step explanation:
6y, 4y, and 2a
Find the values of and y the figure given below and choose the appropriate result ABC and XYZ
Answer:
y = 8
x = 17
Step-by-step explanation:
We can find the missing values using similarity ratio
15/30 = y/16 cross multiply expressions
30y = 240 divide both sides by 30
y = 8
Now do the same for x
15/30 = x/34 cross multiply expressions
30x = 510 divide both sides by 30
x = 17
-5g - 2 + 5g + 6g -g
Just some 7th grade math so help -_-
Answer:
5.95
Step-by-step explanation:
an increase of 70% on to 100% = 170% - 1.7 multiply the price by 1.7 = 3.50 x 1.7 = 5.95 btw i am on 7 th grade too
Please help me!!
Write A short story that
could be represented by
the expression: 24 + (-9)
(-4) + 33 – 17 Make
sure to solve the
equation in your story
(Think about hot air
balloons, football,
temperatures)
Answer:
=76
Step-by-step explanation:
24+(−9)(−4)+33−17
=24+36+33−17
=60+33−17
=93−17
=76
1)) Tammy treated her sister to lunch while visiting her in Somerville. Their lunch cost $350,
and the sales tax in Somerville is 4%. If Tammy left a 20% tip on the $350, how much in
total did she pay?
Answer:
the other amount of cash she pays equals to 24 percent so times 350 by 1.24 which equals to $434
Answer:434
Step-by-step explanation:
Total price with $350
Sales tax 4% = $14
And tip 20%= $70
Total paid= $434
2. - 4x + 2y = -20
patulong plsss
Answer:
6
Step-by-step explanation:
-20/-2 = 10
10-4= 6
I need help! If you can help me with this I can mark you!
Answer:
I think it is 82 degrees or 102 degrees depend if you pick the 10s or 100s
Step-by-step explanation:
Answer: wssp also "B)" is a face
Step-by-step explanation:
Enter the number that belongs in the green box.
x = 90°
that's the answer
Answer:
90
Explanation
vertical angles and right angles in a quadrilateral