What is the explicit formula for this sequence?
-8,-3, 2, 7, ...
O A. an = 12 + (n - 1)5
O B. an = 5+(n-1)(-8)
O C. an=-8+ (n - 115
O D. an= -8+ (n - 1)(-5)
Answer:
[tex]\text{C. }a_n=-8+(n-1)5[/tex]
Step-by-step explanation:
The explicit formula for an arithmetic sequence is given by [tex]a_n=a_1+(n-1)d[/tex], where [tex]a_n[/tex] is the [tex]n[/tex]th, [tex]a_1[/tex] is the first them of the sequence, and [tex]d[/tex] is the common difference.
In the given sequence -8, -3, 2, 7, we can see that we're adding 5 to each term. Therefore, the common different is positive five (+5). We can also identify the first term is -8. Therefore, we have:
[tex]a_1=-8[/tex] [tex]d=5[/tex]Thus, the explicit formula for this sequence is:
[tex]\boxed{a_n=-8+(n-1)5}[/tex]
m bottles of water are x ounces each. The water from these bottles was poured into b similar glass. All glasses are full. How many ounces of water is in each glass?
Step-by-step explanation:
Step-by-step explanation:
how many ounces is The glass
Evaluate the function.
f(x) = -3x2
Find f(-2)
Answer
f(-2)= 12
Step-by-step explanation:
f(x) = -3x2
f(-2)= -3 (-2) 2
f(-2)= 6.2
f(-2)= 12
Hope this help :)
Answer:
-12
Step-by-step explanation:
f(x) = -3x^2
f(-2) = -3(-2)^2 = -12
determine the zeros of the function f(x)=3x^2-7x+1.
Answer:
The zeros of the function will be when f(x) = 0. As 0 = 3x^2 - 7x + 1, you can use the quadratic formula to solve, finding that x = (7 + sqrt(37))/2 or (7 - sqrt(37))/2.
PLZ HELP ASAP ILL MARK BRAINLIEST!
what are the leading coefficient and degree of the polynomial?
9y+8-y^2+12y^4
Polynomial degree : 2
Leading coefficient : 11
Answer:
The degree of the polynomial is 4.
The leading coefficient of the polynomial is 12.
Step-by-step explanation:
The degree of the polynomial is the highest power in the polynomial.
The highest power in the given polynomial is 4.
The leading coefficient of the polynomial is 12.
Log 128 base root2 .........................................................................................................................................
Answer:
12
Step-by-step explanation:
123657890gjinvhjkfol
which of the following is a perfect square trinomial A. 16x^2 + 22xy - 49y^2
B. 16X^2 + 56xy - 49y^2
C. 16x^2 - 22xy + 49y^2
D. 16X^2 - 56xy + 49y^2
Answer:
D. [tex]16x^2}-56xy+49y^2[/tex]
Step-by-step explanation:
A and B aren't correct because the last term is negative.
The factored form of D is [tex](4x-7y)^2[/tex]
I hope this helps!
A)75.4m
B)14.1m
C)256.6m
D)56.5m
Helppppppp pleaseeee
Answer:
23 more cars than trucks.... It means you add 23 over the number of trucks
2 trucks | 2+23 =25
Do u get it
Please help immediately, this is urgent!!! If you see this please answer my question.
Answer:
It is the second option down
Step-by-step explanation:
{(2,-3),(3,-1),(2,3),(4,6),(6,6)}
Are the ordered pairs a function or not?
Answer:
Its a domain
Step-by-step explanation:
Domain:{2,3,4,6}
write the equation for the line that has a slope of -4 and passes through the point (-2, 2)
Answer:
y = -4x - 6
Step-by-step explanation:
y = -4x + b
2 = -4(-2) + b
2 = 8 + b
-6 = b
Multiply the binomials:
(a-2) • (a-8)
Answer:
a^2 -10a +16
Step-by-step explanation:
(a-2) • (a-8)
FOIL
first a*a = a^2
outer: a * -8 = -8a
inner: -2 *a = -2a
last: -2 *-8 = 16
Add them together
a^2 -8a -2a+16
Combine like terms
a^2 -10a +16
Answer:
Step-by-step explanation:
(a-2) (a-8) , distribute a over (a-8) then -2 over (a-8)
a²-8a-2a+16, combine like terms
a² -10a +16
SOLVE EQUATION
solve for x
|3x+19|=13
Answer:
answer is 20............
Step-by-step explanation:
3x=13-19
x= -6/3
x= -2
Answer:
= -2
Step-by-step explanation:
3x+19=13
3x=13-19
3x/3= 6/3
X= -2
Answer from Gauthmath
hurryy hurryy hurryy hurryyyy
Answer:
answer:
-9
01837474u574i83oe
ignore that but just trust bahaha the answers -9
what number goes in the blank?? NEED HELP ASAPPP
Please please help !!
Can somebody help me with these question ??
Question 1
Answer:
DC = 2
Step-by-step explanation:
From the diagram, AD (i.e the angle bisector) bisects the angle into 2 equal parts. Thus, BD and DC are equal.
BD = 2
DC = BD = 2
DC = 2
This can further be explained as illustrated below:
We'll begin by calculating AD. This can be obtained as follow:
Angle A = 30°
Opposite = BD = 2
Hypothenus = AD =?
Sine A = Opposite (BD) /Hypothenus (AD)
Sine 30 = 2 / AD
0.5 = 2 / AD
Cross multiply
0.5 × AD = 2
Divide both side by 0.5
AD = 2 / 0.5
AD = 4
Finally, we shall determine DC. This can be obtained as follow:
Angle A = 30°
Hypothenus = AD = 4
Opposite = DC =?
Sine A = Opposite (DC) /Hypothenus (AD)
Sine 30 = DC / 4
Cross multiply
DC = 4 × Sine 30
DC = 4 × 0.5
DC = 2
Find the factorization of the polynomal below 64x^2 + 48x + 9
Answer:
(8x + 3)²
Step-by-step explanation:
Since our polynomial is 64x² + 48x + 9, we multiply 64x² by 9 to get 64x² × 9 = 576x² since we cannot simplify the expression any further.
Next, we need to find the factors of 576x² that add up to give 48x, these are 24x and 24x.
So the expression is re-written as
64x² + 48x + 9 = 64x² + 24x + 24x + 9
Writing out all the common factors, we have,
64x² + 48x + 9 = 8x × 8x + 3 × 8x + 3 × 8x + 3 × 3
Factorizing we have
64x² + 48x + 9 = 8x(8x + 3) + 3(8x + 3)
64x² + 48x + 9 = (8x + 3)(8x + 3)
64x² + 48x + 9 = (8x + 3)²
Plz someone do this I’ll give you a lot of points
Answer:
DC is congruent to CZ
Step-by-step explanation:
We know two angles are congruent so we need to have the side that is included between those angles so we say that
DC is congruent to CZ
Evaluate the expression and see if it true or false
Answer: Sam did not get the question correct.
I believe he squared it wrong.
Step-by-step explanation:
Find the volume of this cone.
Use 3 for T.
V = Tip?h
[?]cm3
19 cm
V ~
6cm
Answer:
81 cm ^3
Step-by-step explanation:
The volume of a cone is given by
V = 1/3 pi r^2 h where r is the radius and h is the height
We are given the diameter of 6 so the radius is 1/2 the diameter
r = 1/2 (6) = 3
V = 1/3 pi r^2 h
= 1/3 ( 3) * (3) ^2 * 9
= 81 cm ^3
Help pleasee geometry is hard
Answer:
Step-by-step explanation:
The formula for arc length is
[tex]AL=\frac{\theta}{360}*\pi d[/tex] where theta is the central angle. We are given the central angle when we are told that the measure of arc EFG is 240 degrees. The diameter is given as 36, so filling in:
[tex]AL=\frac{240}{360}*\pi (36)[/tex] which can be simplified down a bit to
[tex]AL=\frac{2}{3}*\pi (36)[/tex] and a bit more to
[tex]AL=2\pi(12)[/tex] which gives us, finally,
[tex]AL=24\pi[/tex]
I can't tell which of your answers matches this one because they're much too small to read.
Mr. Fischer, a bilingual teacher, teaches a mathematics class composed of native English speakers and English language learners (ELLs). He has introduced a new topic with new vocabulary words in which he presented the vocabulary words with several examples. Which of the following strategies should Mr. Fischer use next to check each student's understanding of the vocabulary words?a. having students look up the definition online to see if it matches what Mr. Fischer told themb. having students copy down the definition for each word that Mr. Fischer wrote on the board in Englishc. placing students in groups so each student can explain the vocabulary terms to their peers in Englishd. having students write a definition for each term in their own words in their native language
Answer:
D. having students write a definition for each term in their own words in their native language
Step-by-step explanation:
In Mr Fischer's mathematics class, we are presented with two categories of learners. Those that are native speakers of English and those who are learners of English.
Both categories of students would show their understanding best in this lesson if they were to write in their own native language.
The native english-speakers would have no issues writing in English, but those who are English learners would have problems communicating their understanding of the lesson in English. So it is best they give their definitions in their native language.
Determine the slope of the line
Answer:
Option B, -3/2
Step-by-step explanation:
The line passes through (4,0) and (0,6)
so, the slope will be
(6-0)/(0-4)
= 6/-4
= -3/2
Answered by GAUTHMATH
Which of these figures has rational symmetry?
Answer:
a is the answer parallelogram is a rotational symmetry
The s.s of |x-4|=-4 is
A-8
B-16
C blank
D 8
Can someone help me with this math homework please!
In case of Nina:
slope of graph = speed = 48-32/6-4 = 16/2 =8
y-32 =8(x-4)
y-32=8x-32
y=8x
d=8t
at x= 0 i.e at t= 0
d= 0m
In case of Ryan:
slope =speed = 47.5-35=6-4 = 12.5/2 =6.25
y-35=6.25(x-4)
y-35=6.25x-25
y=6.25x+10
d=6.25t+10
at t = 0, d= 10m
RYAN had a head start of 10 m
Can someone help me with this please
Answer:
7. C
E =
[tex] \sqrt[3]{95} [/tex]
Can someone help me with this math homework please!
1. 1st option
2.1st and 4th option
3.2/5