Answer:
112cm^3
Step-by-step explanation:
Formula for volume of a cone is:
[tex] \frac{1}{3} \times \pi \times {r}^{2} \times h[/tex]
r = radius and h = height
To find the radius you divide the diameter by 2:
12.9 ÷ 2 = 6.45
Now substitute values into the formula:
[tex] \frac{1}{3} \times \pi \times {6.45}^{2} \times 16.6[/tex]
Which equals 112cm^3
4. Molly has 20 tomato plants to arrange in her garden. What are all the ways Molly can arrange the tomato plants in an array?
The number of ways Molly can arrange the tomato plants in an array is 27,907,200 ways
Find the image attached. From the figure, we can see that there are 6 rows in the array.
If there are 20 tomato plants, the ways Molly can arrange the tomato plants in an array is expressed according to the permutation formula:
20P6 = 20!/(20-6)!
20P6 = 20!/14!
20P6 = 20 * 19 * 18 * 17 * 16 * 15
20P6 = 27,907,200
Hence the number of ways Molly can arrange the tomato plants in an array is 27,907,200 ways
Learn more on permutation formula here: https://brainly.com/question/12468032
6(6n+3) distributive property
Answer:
36n + 18
Step-by-step explanation:
6 * 6n = 36n
6 * 3 = 18
36n + 18 = 36n + 18
Answer:
36n+18
Step-by-step explanation:
6(6n+3)
(6×6n)+(6×3)
36n+18
But if you want it simplifed, you can divide both 36n and 18 by 18 and you will be left with 2n+1
Find the graph for the equation y=|x-3|-6?
Answer:
Step-by-step explanation:
En el siguiente trapecio calcular el valor de la base mayor x
Answer:
x = 20°
Step-by-step explanation:
OA = OB
so 140°+x°+x° = 180°
140+2x = 180
2x = 40
x = 20°
can you help me solve 4x - 15 = 17 - 4x
[tex]4x-15 = 17-4x\\\\\implies 4x +4x = 17 +15\\\\\implies 8x = 32\\\\\implies x = \dfrac{32} 8\\\\\implies x = 4[/tex]
Which costs the least per can, a 24 pack of cola for 5.52,a 12 pack of cola for 2.64 or a 6 pack of cola for 1.35
Answer:
It would be the 12 pack of cola for 2.64
Step-by-step explanation:
2.64/12 = 0.22
5.52/24 = 0.23
1.35/6 = 0.225
Round 0.225 = 0.23
Which one is correct
Is the product of -5 and v121 rational or irrational
Answer:
Rational.
Step-by-step explanation:
-5 times √121
= -5 * 11
=-55
Rational.
HELP ASAP PLEASE THIS IS FOR ALGEBRA
1. he slope of a line through the points (-2, 4) and (6, b) is -3/2 What is the value of b?
Explain your method for calculating b.
Answer:
Step-by-step explanation:
Use the slope formula to solve this problem. Slope, usually called m, is the change in y-values over the change in x-values.
m = (y2 - y1)/(x2 -x1)
It actually doesn't matter which point is the first point and which point is the second point. But you must be consistent.
So fill in -3/2 for the m
Let your (6, b) be your (x1, y1)
Let (-2, 4) be your (x2, y2)
So, the numbers fill into the formula like so:
-3/2 = (4 - b)/ (-2 - 6)
-3/2 = (4 - b)/(-8)
Multiply -8 on both sides of the equation.
(-8)(-3/2) = 4 - b
12 = 4 - b
Subtract 4 from both sides.
Don't lose the negative in front of the b
8 = -b
Multiply or divide by -1 on both sides.
-8 = b This is the answer.
**note: Its kinda crummy to use b in this equation, because b has a special meaning when you are working with linear equations. They should have given you a different variable. b usually stands for the y-intercept but in this problem it doesn't, it's just a variable representing an unknown value.
ms. valdez is preparing dinner for 6 people she bought an 8 pund tukey to rost for dinner and plans to distribute it evenly to each of the 6 people how many pounds of turkey should each person get
a- 1 1/3
b- 1 1/6
c 3/4
1/2
1/4
Answer:
A
Step-by-step explanation:
8/6 is also 1 1/3.
(assuming she doesn't include herself in the distribution).
Order these numbers from least to greatest.
2.406, 2.46, 2.2061, 2.2
Answer:
2.2, 2.2061, 2.406, and 2.46
Is this table proportional?
XY
1 3 3
4 12
5 15
7 21
emma has 63 pencils noah has 49 penecils and michel has 77 pencils.Use the GCF and the distributive property to find the total number of pencils
Step-by-step explanation:
the greatest common factor (GCF) is 7.
it is 9×7, 7×7 and 11×7.
so the total number of pencils is
7×(9 + 7 + 11) = 7×27 = 189
Help help help help math math
Answer:
umm i think its A/B
Step-by-step explanation:
Answer:
√49 < √56 < √64
Step-by-step explanation:
√56 = 7.4833....
7x7 = 49
8x8 = 64
√49 < √56 < √64
Does anyone know the answer for this question? I really need it.
State whether the system is consistent or inconsistent. If it is consistent, then state whether the graphs' equations are dependent or independent. State the number of solutions.
If a system has at least one solution, it is said to be consistent . If a consistent system has exactly one solution, it is independent . If a consistent system has an infinite number of solutions, it is dependent . When you graph the equations, both equations represent the same line.
what is the answer i need done by midnight -15x+60<105
Answer:
[tex]x > -3[/tex]
Step-by-step explanation:
Isolate the variable. Treat the < sign like an equal sign, in that what you do to one side, you do to the other.
Do the opposite of PEMDAS. PEMDAS is the order of operations, and stands for:
Parenthesis
Exponents (& Roots)
Multiplications
Divisions
Additions
Subtractions
~
First, subtract 60 from both sides of the equation:
-15x + 60 (-60) < 105 (-60)
-15x < 45
Next, divide -15 from both sides of the equation. Note that when you multiply or divide a negative number, you must flip the sign:
(-15x)/-15 < (45)/-15
x < 45/(-15)
x > -3
[tex]x > -3[/tex] is your answer.
~
Activity 1.
Direction. Using the diagram below, form ratios. Express them in lowest term to
To form a proportion
Answer:
6:3 =2:12:2=1:16:13:24:14=2:7George is 14 years old. His age is 2 years more than twice his brother, Jhon's age. How old is John?
Answer:
30
Step-by-step explanation:
14×2=28
28+2=30
i hate riddles
given 6x+5y=12 find the equation of the line parallel to it passing through (1,10).
Answer:
y = -6/5x+56/5
Step-by-step explanation:
Write five demicals that round to 0.96?
Answer:
0.964
0.959
0.961
0.958
0.963
Step-by-step explanation:
Anything below 5 can be rounded down, anything above 5 can be rounded up.
You can have a decimal after 0.96 to be less than 5, or a decimal after 0.95 to be greater than 5.
Here's some I picked:
0.964
0.959
0.961
0.958
0.963
Sophie has $4.20 worth of dimes and quarters. She has twice as many quarters as dimes. Write a system of equations that could be used to determine the number of dimes and the number of quarters that Sophie has.
Answer:
0.25q +0.10d = 4.20q = 2dStep-by-step explanation:
Let q represent the number of quarters, and d represent the number of dimes.
0.25q +0.10d = 4.20 . . . . . the value of the coins
q = 2d . . . . . . . . . . . . . . . the relation between the numbers of coins.
__
Additional comment
Using substitution, the equation simplifies to ...
0.60d = 4.20
d = 7
q = 14
Note that the coins can be grouped into groups of 2 quarters and 1 dime. The value of the group is $0.60, and the number of dimes is equal to the number of groups. Thinking about the problem in this way gets you immediately to the single equation 0.60d = 4.20.
3.Original DNA sequence: 3' TACCGCTTACGTCTGATCGCT 5'
Mutated DNA sequence: 3' TACCGCTTATTATTACGTGCTGCTATCGCT 5'
Type of mutation (3pts):
Amino acid ( 3pts):
Type of mutation ( 3pts):
4. Original DNA sequence: 3' TACCGCTTACGTCTGATCGCT 5'
Mutated DNA sequence: 3' TACCGCTAATTATTACGTGCTGCTATCGCT 5'
Type of mutation ( 3pts) :
Amino acid ( 3pts):
Type of mutation ( 3pts):
3. The original sequence
TAC - CGC - TTA - CGT - CTG - ATC - GCT
codes for
tyr - arg - leu - arg - leu - ile - ala
while the mutated sequence codes for
TAC - CGC - TTA - TTA - TTA - CGT - GCT - GCT - ATC - GCT
tyr - arg - leu - leu - leu - arg - ala - ala - ile - ala
There are several frameshift mutations involved here:
• the first inserts 6 bases (TTA - TTA)
• the second inserts 1 base (G) before the CTG triplet (underlined)
• the third inserts 2 bases (CT) after the CTG triplet
4. The original sequence is the same as before. The mutated sequence
TAC - CGC - TAA - TTA - TTA - CGT - GCT - GCT - ATC - GCT
codes for
tyr - arg - STOP - leu - leu - arg - ala - ala - ile - ala
Then
• there is a (nonsense) point mutation that swaps T for A in the original TTA triplet (nonsense since it produces a stop codon that would halt replication/expression)
• there is a frameshift mutation that inserts 3 bases (TTA)
as well as two other frameshift mutations that also occurred in the previous part.
help me plz ineed help
Answer:
23°
Step-by-step explanation:
Opposite angles so:
60° = 2x + 14
Therefore:
x = 23°
Answer:
x is 23°
Step-by-step explanation:
those opposite angles and are always equal to each other...so to get x take 60-14 then answer divide by two
Four times a number is equal to the number increased by 24 find the number
Answer:
8Step-by-step explanation:
Let the number is x.
Translate the given into equation and solve for x:
4x = x + 244x - x = 243x = 24x = 8Jamal has a plan to save money for a trip. Today, Jamal deposits $8.00 into the savings account. Each week, Jamal will add $5.00 to the amount that is deposited into the savings account. The table below shows the relationship between the number of weeks and how much money, in dollars, Jamal deposits into the savings account. Week 0 1 2 3 4 Deposit (Dollars) 8 13 18 23 28 Let f(x) represent the amount of money Jamal deposits into saving account at the end of x weeks. Based on the table, what is f(8)?
Answer:
f(8) = $48
EQUATION
f(x)= 8+5(x)
Step-by-step explanation:
initial value = $8
every week there is an additional $5 added.
f(x) = 8+5x
f(8) = 8+ 5(8) = 8 + 40 = 48.
At the end of week 8 (x=8) , Jamal has $48 (y=48) saved.
SCO
Sarah put 15 gumdrops on the roof of her
gingerbread house. How many gumdrops
will she need to make 16 more houses
exactly like this one?
MY
gumdrops
Answer: 240 gumdrops
Step-by-step explanation:
1 house: 15 gumdrops
16 houses : 240 gumdrops
1 x 16 = 16
15 x 16 = 240
When Hugo puts a book and a candle on a scale, the scale reads 8.705 lbs. When he removes the book, the scale reads 4.93 lbs. How much does the book weigh?
Answer:
8.705-4.93=3.775
Hope This Helps!!!
Understand how to work with negative bases and negative exponents.
5^2 =
5^-2 =
(-5)^2 =
- 5^2 =
(Remember to find the base, then multiply.)
Answer:
[tex]Understand \: how \: to \: work \: with \: negative \: bases \\ \: and \: negative \: exponents. \\
\bold{answer - } \\ {5}^{2} = 5 \times 5 = 25 \\ {5}^{ - 2} = \frac{1}{ {5}^{2} } = \frac{1}{25} = 0.04 \\ {( - 5)}^{2} = ( - 5) \times ( - 5) = 25 \\ - {5}^{2} = ( - 5) \times ( - 5) = 25 \\ \\ \bold \purple{hope \: it \: helps \: ♡}[/tex]
help me solve thissss
Answer:
y = 35 degrees
Step-by-step explanation:
y + 55 = 90
(subtract 55 from both sides)
y = 35