The answer is B
Eplanation:
V = pi * r² * (h/3)
Then from here you just make h the subject of the formula:
h = (V * 3)/(pi * r²)
h = (393*3)/[3.14* (10/2)²]
h = 15.01910828 ft
which is rounded to 15 ft...B
:)
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]
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
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
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
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
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:
A)75.4m
B)14.1m
C)256.6m
D)56.5m
The s.s of |x-4|=-4 is
A-8
B-16
C blank
D 8
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
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.
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.
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
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
Please please help !!
Log 128 base root2 .........................................................................................................................................
Answer:
12
Step-by-step explanation:
123657890gjinvhjkfol
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
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:
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.
Which of these figures has rational symmetry?
Answer:
a is the answer parallelogram is a rotational symmetry
what number goes in the blank?? NEED HELP ASAPPP
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
{(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}
Imagine that you are given two linear equations in slope-intercept form. You
notice that the slopes are different, but the yintercepts are the same. How
many solutions would you expect for this system of equations?
O A. 1
O B. cannot be determined
O C. O
D. infinitely many
Answer:
Option A
Step-by-step explanation:
If the system of equations are,
y = m₁x + b
y = m₂x + b
Since, m₁ ≠ m₂ both the lines will be different (not parallel)
Therefore, the will be at least one solution of the given system of equations.
Option A will be the answer.
Eric and Shiloh each have a savings account. The ratio of Eric’s account balance to Shiloh’s account balance is 4:3. Together they have a total of $140 in their accounts. Use the tape diagram below to help you determine the balance of Eric’s account. [Type your answer as a number.]
Answer:
Eric 80
Step-by-step explanation:
Take 4+3 = 7
140 /7 = 20
There is 20 in each block
Eric gets 4 of the blocks so 4*20 = 80
Shiloh gets 3 of the blocks 3*20 = 60
Answer:
80
Step-by-step explanation:
4 : 3
4x + 3x = 140
7x = 140
x =20
4*20 = eric's amount
= 80
Select the expression that shows the distributive property applied to
13(2+9).
18 of 29 QUESTIONS
13(9+2)
13. 2+ 9
13. 2+ 13.9
13. 2+ 2.9
3rd option is correct
13 × 2 + 13 × 9
I could really use some help
Answer:
045
Step-by-step explanation:
North is equal to 360 or 0 degrees. East is equal to 90 degrees because that is 1/4 of 360.
Thus, northeast is 45 degrees. This image may help.
How to change the decimal 4.5 into a fraction
4.5
= 4.5/1
= 4.5/1.0
= 45/10 [Shifting the decimal to right]
= 9/2 [Reducing to the simplest form]
So, the answer is 9/2.
Which set of ordered pairs does NOT represent a function?
{(0, 0), (1, 1), (2, 2), (3, 3)}
(0, 0), (0, 1), (1, 2), (1, 3)}
{(1,0), (2, 0), (3, 0), (4, 0)}
{(0, 1), (1, 2), (2, 3), (3, 4)}
Answer: (0, 0), (0, 1), (1, 2), (1, 3) does NOT represent a function
Step-by-step explanation:
to tell whether a set of ordered pairs are functions or not, all domains must have different ranges!
range: x-axis (0,0)
domain: y-axis (0,0)
pair 1:
all the ranges - 0, 1, 2, 3 - are different, which means it IS a set of ordered pairs
pair 2:
all the ranges - 0, 0, 1, 1 - are NOT all different, which means it is NOT a set of ordered pairs
pair 3:
all the ranges - 1, 2, 3, 4 - are different, which means it IS a set of ordered pairs
pair 4:
all the ranges - 0, 1, 2, 3 - are different, which means it IS a set of ordered pairs
let me know if you have any more questions or if i made any mistakes. hope this helped, and good luck! ˶ˆ꒳ˆ˵
(5,8) and (x, 12) slope is -2, find x
PLEASE HELP ASAP
Which numbers belong to the solution set of the inequality?
6x < 48
A. 1,3,5,8
B. 2,4,5,7
C. 7,9,13,16
D. 9, 12, 14, 20
Answer:
B. 2, 4, 5, 7
Step-by-step explanation:
6x<48
Divide by 6 on both sides:
x < 8 (excluding 8)
You can test values greater than 8, and if it yields false, then try different numbers.
Hope this helps!
