Answer:
time: 0.75 secondsheight: 11 feetStep-by-step explanation:
A graphing calculator shows you the maximum height of 11 feet is reached after 0.75 seconds.
__
A quadratic of the form ax² +bx +c has its vertex at x=-b/(2a). Here that means the time to the maximum height is ...
t = -24/(2(-16)) = 24/32 = 3/4 . . . seconds to maximum height
The height at that time is ...
s(3/4) = (-16(3/4) +24)(3/4) +2 = (-12 +24)(3/4) +2 = 9 +2
s(3/4) = 11 . . . . feet at maximum height
One side of a regular hexagon ABCDEF forms the side of a regular polygon with n sides.
Angle GAF = 105°. Work out the value of n.
Answer:
n = 8.
Step-by-step explanation:
The interior angle of a regular hexagon = 120 degrees.
So m < GAB = 360 - 120 - 105
= 135 degrees so the regular polygon has a total of 135n degrees.
Using the formula for the sum of interior angles of a polygon,
For the polygon with n sides:
Sum of interior angles = 180(n - 2)
135n = 180(n - 2)
135n = 180n - 360
45n = 360
n = 360/45 = 8.
Which expression is equivalent to (-x-16)
-x-16?
X-+16
-X+16
X-16
Answer:
- x - 16
Step-by-step explanation:
If f(x) =x+1\x-1 and f(a) = 5 then f(2a) is equal to?
What is the slope of the line that passes through the points (-3,3) and (-3, 13)?
Write your answer in simplest form.
Answer:
ΔY = 10
Step-by-step explanation:
the value of √-3+√3+8√7+4√3
PLZZZ HELP ASAP I NEED IT FAST!
Answer:
5.4
Step-by-step explanation:
Step 1: Take any two side lengths from the quadrilaterals (one from ABCD and one from PQRS)
For this case, I'm going to take 4 and 7.2Step 2: Divide the length you took from PQRS by the length you took from ABCD.
[tex]\frac{7.2}{4}[/tex] [tex]1.8[/tex] (1.8 is the scale factor (SF))Step 3: Since CD and RS and corresponding sides, multiply 3 by 1.8
[tex]3 * 1.8[/tex] [tex]5.4[/tex]Therefore, x = 5.4.
Answer:
5.4
Step-by-step explanation:
Look at photo for explanation
There are 60 pupils in the library. The boys are 14 more than the girls. How many girls are there in the library?
Answer:
32
Step-by-step explanation:
Trust me its hard to explain.
What are the zeros of the function
f(x)=x^2+2x-8
Answer:
-4, 2 (-4,0) (2,0)
Step-by-step explanation:
factoring in binomials
[tex](x+4)(x-2)=x^{2} +2x-8[/tex]
The zeros:
[tex]x+4=0\\x=0-4\\x_{1} =-4[/tex]
[tex]x-2=0\\x=0+2\\x_{2} =2[/tex]
I hope this help you
-2 1/4 x -4/5
please help
Answer:
1.8
Step-by-step explanation:
-2 1/4 x -4/5 = 9/5
= 1 4/5
= 1.8
If you can wash seven cars in three hours how many cars can you wash in eight hours
All changes avec
7. The price of a plane ticket varies Inversely with the amount of tickets purchased at one time. If 2 plane tickets costs $350 each, how much will a ticket cost when purchasing 7 plane tickets?
O $25
O $100
O $1225
O $220
Answer:
1225
350/2=175
175 x 7 = 1225
can someone help me with these 2 questions?
Answer:
5. 8 months
6. 13 pencils
25 + 100 = ?
Can You Answer
[tex] \: [/tex]
[tex] = 125[/tex]
Step-by-step explanation:
[tex]25 + 100 = ?[/tex]
need to add these numbers so we can get the solution[tex]25 + 100 = 125[/tex]
there you go , we have a solutionhope it helps[tex] \: [/tex]
clara has a positive acceleration for 5 minutes
Answer:
The answer is C.
Step-by-step explanation:
What is the value of the rational expression 6-x/x+5 when x = 2?
4/7
4/5
8/7
8/5
Answer:
4/7
Step-by-step explanation:
6 -2/2+5 = 4/7
thats it simple
Answer: 10
Step-by-step explanation:
6-x/x+5
6-(2)/(2)+5
Order of Operations
6-1+5
5+5
10
if i can get 4 tastykake snack cakes. 4 for $5.00 how much would it be if i get 2 tastykake snack cakes?
Answer:
2.50
Step-by-step explanation:
If 4= $5.00
then divided 5.00 by 4=1.25
so 1 = 1.25
1.25x2=2.50
Therefore 2 tastykake snack cakes = $2.50
Answer:
The answer is 2.5
Step-by-step explanation:
5 divided by 4 = 1.25
1.25 times 2 = 2.5
brainliest :)
What equation represents this sentence?
0.8 increased by a number is 4.5.
4.5 + n = 0.8
0.8n = 4.5
0.8 + n = 4.5
4.5n = 0.8
hurry ill give brainliest
Answer:
It is 0.8 + n = 4.5 that is the right answer
Answer: 0.8 plus n equals 4.5
Step-by-step explanation:
Nestle Crunches cost 30 cents and Snickers cost 50 cents. Jessica and Tori
treated the class and they spent $6.80. How many students had Snickers if these
numbered 4 less than those who had Nestle Crunches?
Answer:
7 students had SnickersStep-by-step explanation:
Nestle Crunches - nSnickers - sSystem of equations according to given:
30n + 50s = 680 (converted $6.80 into 680¢)n = s + 4Substitute n into first equation and solve for s:
30(s + 4) + 50s = 68030s + 120 + 50s = 68080s = 680 - 12080s = 560s = 560/80s = 7Equations are
0.30x+0.50y=6.80=>30x+50y=680--(1)x=4+y=>x-y=4-(2)[/tex]EQUATION(2)× 30
[tex]\\ \sf\longmapsto 30x-30y=120--(3)[/tex]
Subtracting (1) and (3)
[tex]\\ \sf\longmapsto 80y=560[/tex]
[tex]\\ \sf\longmapsto y=7[/tex]
Is the sequence geometric if so identify the common ratio 1/3, 2/9, 4/27, 8/81
Answer:
It is a geometric sequence and the common scale factor is [tex]\frac{2}{3}[/tex].
Step-by-step explanation:
In an arithmetic sequence, the difference between consecutive terms is always the same.
[tex]a_n=a_1+(n-1)d[/tex]
where aₙ is the nth term, a₁ is the first term, n is the index, and d is the common difference.
In a geometric sequence, each consecutive term was multiplied by some factor over the last.
[tex]a_n=ax^n^-^1[/tex]
where aₙ is the nth term, n is the index, and x is the scale factor.
In the given sequence, there is no common difference so it is not an arithmetic sequence. There is, however, a common scale factor applied to each consecutive term. Each term is multiplied by [tex]\frac{2}{3}[/tex] over the last.
The formula for this sequence would be:
[tex]a_n=a\frac{2}{3} ^{n-1}[/tex]
Answer:
r = [tex]\frac{2}{3}[/tex]
Step-by-step explanation:
If the sequence is geometric then there will be a common ratio r between consecutive terms , that is
r = a₂ ÷ a₁ = a₃ ÷ a₂ = a₄ ÷ a₃
Then
a₂ ÷ a₁ = [tex]\frac{2}{9}[/tex] ÷ [tex]\frac{1}{3}[/tex] = [tex]\frac{2}{9}[/tex] × 3 = [tex]\frac{2}{3}[/tex]
a₃ ÷ a₂ = [tex]\frac{4}{27}[/tex] ÷ [tex]\frac{2}{9}[/tex] = [tex]\frac{4}{27}[/tex] × [tex]\frac{9}{2}[/tex] = [tex]\frac{2}{3}[/tex]
a₄ ÷ a₃ = [tex]\frac{8}{81}[/tex] ÷ [tex]\frac{4}{27}[/tex] = [tex]\frac{8}{81}[/tex] × [tex]\frac{27}{4}[/tex] = [tex]\frac{2}{3}[/tex]
Then sequence is geometric with common ratio r = [tex]\frac{2}{3}[/tex]
An item priced at $500 is bought on hire purchase, where $200 deposit is required, along with 12 monthly instalments of $40. How much would be saved if bought with cash?
what is the slope of (-1,6) and (2,3)?
Answer:
-1
Step-by-step explanation:
For a line joining two points (x1, y1) and (x2, y2), it's slope is given as:
[tex] \boxed{ \mathsf{slope = \frac{ y_{2} -y _{1}}{ x_{2} - x _{1}} }}[/tex]
Here, the two points are (-1, 6) and (2, 3) in place of (x1, y1) and (x2, y2).
Solving for slope:
[tex] \implies \mathsf{ \frac{3 - 6}{2 - ( -1 )} }[/tex]
[tex] \implies \mathsf{ \frac{ - 3}{2 + 1 } }[/tex]
[tex] \implies \mathsf{ \frac{ - 3}{3 } }[/tex]
[tex] \implies \mathsf{ - 1 }[/tex]
Hence, the slope of the line joining the given points is -1.
Answer:
-1
Step-by-step explanation:
In the year 2010, there were 100g of a certain radioactive isotope. Now there are 70g in 2020 remaining. In what year will there be only 25 left?
Answer:
2035
Step-by-step explanation:
2010=100g
2020=70
100-70=30
70-30=40
2030=40
Answer:
Somewhere in 2038
Step-by-step explanation:
In 2010 in there was 100g of a certain radioactive isotope
In 2020 now there’s 70g of a certain radioactive isotope
what changed,?
In 10 years they lost 30g of radioactive isotope
Therefore
Year 2030 there will be 50g
Year 2035 there will be 35g
Year 2040 there will be 20g
But we want to get 25g in how many years
1 year takes 3g
2 year takes 6g
3 year takes 9g
4 year takes 12g
But we need to take away 10g from 35 so it’ll be between somewhere between 2038 maybe half year..
Determine the equation of the circle graphed below
Answer:
(x-3)^2+(y-5)^2=3^2
Step-by-step explanation:
plz help will mark as brainliest
Answer:
so the answer is = 210 beacuse u have multiply 5 times 6 times 7
Step-by-step explanation:
So, the area A of a triangle is given by the formula A=12bh where b is the base and h is the height of the triangle. Example: Find the area of the triangle. The area A of a triangle is given by the formula A=12bh where b is the base and h is the height of the triangle.
Help me with this question please!! Show all work
Answer:
439
Step-by-step explanation:
The denominator simplifies to 106/15
The question becomes
3+1/(106/15)=3+15/106=333/106
Therefore m+n=439
It costs $120 per week in gas to travel by car to work five days a week. what is the daily expense?
Expand the function.
4
f(x)
=
(2x + 3)4
Answer:
16 x ^4 − 96 x^ 3 + 216 x ^2 − 216 x + 81
Step-by-step explanation:
Use the binomial expansion theorem to find each term. ∑
∑The binomial theorem states ( a + b ) n = n ∑ k = 0 n C k ⋅ ( a n − k b k ) . 4 ∑ k = 0 4 ! ( 4 − k ) ! k ! ⋅ ( 2 x ) 4 − k ⋅ ( − 3 ) k
Expand the summation. 4 ! ( 4 − 0 ) ! 0 ! ⋅ ( 2 x ) 4 − 0 ⋅ ( − 3 ) 0 + 4 ! ( 4 − 1 ) ! 1 ! ⋅ ( 2 x ) 4 − 1 ⋅ ( − 3 ) + 4 ! ( 4 − 2 ) ! 2 ! ⋅ ( 2 x ) 4 − 2 ⋅ ( − 3 ) 2 + 4 ! ( 4 − 3 ) ! 3 ! ⋅ ( 2 x ) 4 − 3 ⋅ ( − 3 ) 3 + 4 ! ( 4 − 4 ) ! 4 ! ⋅ ( 2 x ) 4 − 4 ⋅ ( − 3 ) 4
Simplify the exponents for each term of the expansion. 1 ⋅ ( 2 x ) 4 ⋅ ( − 3 ) 0 + 4 ⋅ ( 2 x ) 3 ⋅ ( − 3 ) + 6 ⋅ ( 2 x ) 2 ⋅ ( − 3 ) 2 + 4 ⋅ ( 2 x ) ⋅ ( − 3 ) 3 + 1 ⋅ ( 2 x ) 0 ⋅ ( − 3 ) 4
Simplify each term.
= 16 x ^4 − 96 x^ 3 + 216 x ^2 − 216 x + 81
Identify what Number property is shown for each statement
1. Commutative property of multiplication
3. Associative property of Addition
4.Associative property of multiplication
5. Symmetric property
6. Reflexive property
7. Transitive property
8. Zero property of multiplication
9. multiplicative inverse
10. Zero property of multiplication
11. Additive identity
12. Multiplicative identity
A. 21=21
B. If k=15 and 5 = 3m. Then k = 3m
C. 7+4=4+7
D. 9x0=0
E. 4+0=4
F. (5x3)x4=5x(3x4)
G. 10x3=3x10
H. 19x1=19
I. 8x1/2=1
J. If 11 = y then y = 11
K. (6+2) + 1 = 6 + 2 + 1
L. 2+(2-)=0
1. Commutative property of multiplication = G. 10x3=3x10
3. Associative property of Addition = K. (6+2) + 1 = 6 + (2 + 1)
4. Associative property of multiplication = F. (5x3)x4=5x(3x4)
5. Symmetric property = J. If 11 = y then y = 11
6. Reflexive property = A. 21=21
7. Transitive property = B. If k=15 and 5 = 3m. Then k = 3m
8. Zero property of multiplication = D. 9x0=0
9. multiplicative inverse = I. 8x1/2=1
10. Zero property of multiplication = L. 2+(2-)=0
11. Additive identity = E. 4+0=4
12. Multiplicative identity = H. 19x1=19
Hope this helps!
Answer:
Step-by-step explanation:
G. 10x3=3x10 1. Commutative property of multiplication
3. Associative property of Addition
F. (5x3)x4=5x(3x4) 4.Associative property of multiplication
J. If 11 = y then y = 11 5. Symmetric property
A. 21=21 6. Reflexive property
7. Transitive property
8. Zero property of multiplication
9. multiplicative inverse
D. 9x0=0 10. Zero property of multiplication
E. 4+0=4 11. Additive identity
H. 19x1=19 12. Multiplicative identity
B. If k=15 and 5 = 3m. Then k = 3m This statement is not true.
This may be the transitive property, but this was written incorrectly. You have 15 in k = 15, but 5 in 5 = 3m.
C. 7+4=4+7 This is commutative property of addition, which is not listed above
I. 8x1/2=1 This statement is false. Maybe you meant 8 x 1/8 = 1. Then it is 9. Multiplicative inverse.
K. (6+2) + 1 = 6 + 2 + 1 This does not illustrate anything.
Maybe you missed the parentheses on the right side: 6 + (2 + 1). Then it is the associative property of addition.
L. 2+(2-)=0 If this were 2 + (-2) = 0, then it would be Additive Inverse, but I don't see this listed above.
pls answer 4th and 5th question . i do not understand
Step-by-step explanation:
4) total length of the journey is
1st hr = 74km 224m = 74224m
2nd hr = 74km 224m = 74224m
3rd hr = 58km 56m = 58056m
4th hr = 62km 8m = 62008 m
total distance (adding all) = 268512m = 268km 512m .
5) total weight = 22kg 200g = 22200g
mangoes weight = 14kg 750g = 14750g
apples weight = 5kg 80g = 5080g
total weight - fruits weight
(22200-14750-5080)g
= 2370g
= 2kg 370g.
hope this helps you.
What is the slope of the graph of the given line?
Answer:
slop = 2/3
Step-by-step explanation:
slope = rise/run
Start at the lower left point (-2, -1).
We need to go to the upper right point (4, 3) by going only vertically (rise) and horizontally (run).
First we go up 4. The rise is 4.
Then we go right 6. The run is 6.
slope = m = rise/run = 4/6 = 2/3
slope = 2/3