Answer:
Both 16 and 1 are squares. This suggests using the formula for the difference of squares. Answer link.
Step-by-step explanation:
Every time you have a difference in the format of
A2−B2 you can factor as (A−B)(A+B).
Then you have to identify if your quantity is the difference of two squared quantities.
It is. In fact we can write it as:
16x2−1=(4x)2−12
Then we can apply our rule
[tex] {(4x)}^{2} - {1}^{2} = (4x - 1)(4x + 1)[/tex]
Noah says that 2^4 • 3^2 = 6^6.
Tyler says that 2^4 • 4^2 = 16^2
Do you agree with Noah? Explain or show your reasoning.
Do you agree with Tyler? Explain or show your reasoning.
Answer: 5/6
Step-by-step explanation:
A water tank is in the shape of a cylinder with a diameter of 20 feet and a height of 20 feet. The tank is 70% full. About how many gallons of water are in the tank?
Answer:
32901 gallons
Step-by-step explanation:
First, we find the volume of the cylindrical water tank when it is full.
The volume of a cylinder is given as:
V =
where r = radius and h = height of the cylinder
The diameter of the tank is 20 feet, hence, its radius is 10 feet.
Volume, V, is therefore:
V =
This is the volume of the tank, when it is full.
When it is 70% full, the volume will be:
1 cubic foot () is 7.48 gallons.
Therefore, the volume of the 70% full tank in gallons will be:
4398.23 * 7.48 = 32901.05 gallons ≅ 32901 gallons
The tank contains 32901 gallons of water.
Answer:
approximately 32,900 gallons
Step-by-step explanation:
volume water in tank
v = πr²h * .70
v = π * 10² * 20 * .70
v = 4,398.2297150257 ft³
1 ft³ = 7.48 gallons
gallons in tank
4,398.2297150257 * 7.48 = 32,898.7582683922
~ 32,900 gallons
Evaluate: 4.5p + 8.2n when p=6 and n=5.
Answer:
68
Step-by-step explanation:
4.5p + 8.2n when p=6 and n=5
Subsitute for p and n
4.5(6) + 8.2(5)
Multiply
27 + 41
add
68
help with the questions below!
Answer:
b
Step-by-step explanation:
Please answer this and get ez 25 points
Answer:
13. 10%
14. 43/50
Step-by-step explanation:
13. P(1000) = 5/50 × 100% = 10%
14. P(not 100) = (50-7) /50 = 43/50
Two angles are complementary. If one angle measures 48°, what is the measure of the other angle?
a
42°
b
48°
c
132°
d
52°
Answer:
A
Step-by-step explanation:
The sum of two complementary angles is 90 degrees
x + 48 = 90
x = 90 -48
x = 42 degrees
1. If one leg gets longer the other leg must also
get longer in order to keep the hypotenuse the
same.
TRUE
FALSE
Al vender una refrigeradora, gané s/. 580. Si después de la venta gasté s/. 1 260 y me queda s/. 480, ¿Cuánto costó la refrigeradora?
Answer:
english plz
Step-by-step explanation:
Please help I need the answer right
Answer:
B) 4 inches
Step-by-step explanation:
Since ABC is congruent to EFG then AB is congruent to EF, and BC is congruent to FG.
BC = 4 in
FG = 4 in
A kite is flying 78 ft off the ground, and its string is pulled taut. The angle of elevation of the kite is 41°. Find the length of the string. Round your answer to the
nearest tenth.
PLZ HELP BEEN STUCK FOR A HOUR!!!
Answer:
Length of kite string = 118.9 feet (Approx.)
Step-by-step explanation:
Given:
Height of kite = 78 feet
Angle of elevation = 41°
Find;
Length of kite string
Computation:
Height of kite = Perpendicular
Length of kite string = Hypotenuse
Using trigonometry function;
Sinθ = Perpendicular / Hypotenuse
Sin 41 = Height of kite / Length of kite string
0.656 = 78 / Length of kite string
Length of kite string = 78 / 0.656
Length of kite string = 118.9 feet (Approx.)
Write the number 10 000 000 as a power of 10.
Answer:
10⁷
Step-by-step explanation:
Just count the number of zero and raise the counted number of zero.
4 1⁄10 ÷ 1 1⁄2 plsss answerr now ..thankyou
Answer:
2 11/15
Step-by-step explanation:
Answer:
41/15
Step-by-step explanation:
[tex]4\frac{1}{10}[/tex] ÷[tex]1\frac{1}{2}[/tex]
first convert mixed fraction into or improper fractions.
=4*10+1/10 ÷ 1*2+1/2
=41/10 ÷ 3/2
convert division sign to multiplication and do the reciprocal.
=41/10 * 2/3
=41*2/10*3
=82/30
=41/15
please help with this !!!!
Answer:
0
Step-by-step explanation:
this is just to confuse us.
"t" is used instead of "x" (probably because the formula has something to do with "time"). but it does not matter.
and 3 different functional definitions have been given based on the value of the argument "t".
we need the functional value for t=2.
is 2 = 8 ? no. therefore the first definition does not apply.
is 2 = 10 ? no. therefore the second definition does not apply either.
is 2 unequal to 8 or 10 ? yes, 2 is 2 and not 8 and not 10.
so, the third definition applies :
f(2) = 2² - 3×2 + 2 = 4 - 6 + 2 = 0
what is 94.2 and 87 averaged out
Answer: 90.5
Step-by-step explanation:
Answer:
90.6
Step-by-step explanation:
If you mean "what is the average of 94.2 and 87," that is found as follows:
94.2 + 87
------------------ = 90.6
2
We say, "the average" (or "the mean") of 94.2 and 87 is 90.6." 90.6 lies exactly halfway between 87 and 94.2.
What is the explicit formula for this sequence?
-7, -4, -1, 2, 5, …
Answer:
y = 3x -7?
Step-by-step explanation:
started from 7 and going infinite
Every tenth customer to Macy's end of the season sale gets a $10
coupon. Every twenty-fifth customer gets a free gift bag. Which customer
will be the first one to get both the $10 off coupon and the gift bag?
Answer:
50th
Step-by-step explanation:
10 multiply by 5 is 50
And 25 multiply by 2 is 50
50 is the first to appear on both sides
What is the value of x?
Answer:
Solution given:
sin 47=opposite/hypotenuse
Sin 47=x/18
x=sin47*18
x=13.16ft
Answer:
ammaamakamamMN8181(18736
Step-by-step explanation:
88271(1(1+1+382(2(#!#
What is the volume of the square pyramid? Enter in the box ___m^3
Answer:
V = 400 m^3
Step-by-step explanation:
The volume of a square pyramid is
V = 1/3 Bh where B is the area of the base and h is the height
B = 10 *10 = 50
V = 1/3 (100)* 12
V = 400 m^3
Kiera and her brother, Desmond, are making trail mix to bring on their family's camping trip. Kiera uses 2 cups of raisins and 5 cups of nuts in her trail mix. Desmond uses 3 cups of raisins and 6 cups of nuts in his trail mix. Whose trail mix has a lower ratio of raisins to nuts?
Answer:
Kiera has a lower ratio of raisins to nuts. (2:5)
Step-by-step explanation:
To find this, you would have to make the number of nuts the same in each to accurately compare them.
It starts with Kiera's 2 cups of raisins and 5 cups of nuts. So it will be 2:5 (raisins first then nuts.)
Desmond will be 3:6 (have to make it the same order, raisins and then nuts.)
So I multiplied both the 2 and the 5 in 2:5 by 6 first.
Then multiply both the 3 and 6 in 3:6 by 5 to make the number of nuts the same in both.
So Kiera will have 12:30 and Desmond will have 15:30.
Then you can conclude that Kiera has the lower ratio.
How many quarters are there in 5 and 3/4
Answer:
23
Each 1 has 4 quarters
5*4=20
20+3
23
Step-by-step explanation:
A triangle in the coordinate plane has vertices of (2,6).(-4,-4), and (0,-6). The triangle is dilated with a scale factor of 2. What are the new coordinates?
(1,3), (-2,-2), and (0, -3)
(4,12).(-8, -8), and (0, -12)
(0,4),(-6, -6), and (-2,-8)
(4,8).(-2,-2), and (2,-4)
Answer:
To solve this problem you have to multiply all of the coordinates by 2
So your answers are
(2,6) ---> (4,12)
(-4,-4) ---> (-8,-8)
(0,-6) ---> (0,-12)
Could you please make brainly :)
Hope this helps ;)
Step-by-step explanation:
I really need help on this problem ASAP please and thank you
Answer:
Step-by-step explanation:
Please someone help me if you can't that is okay but please try I am extremely desperate
Answer:
A
Step-by-step explanation:
2x + x = 3x
y - 3y = 2y
Arrange the functions in ascending order, starting with the function that eventually has the least value and ending with the function that eventually has the greatest value.
3x + 8
4x + 3
x2 + 6
3x
4x
x2
↓
↓
↓
↓
↓
Answer:
3x < 4x < 3x + 8 < 4x + 3 < x² < x² + 6
Step-by-step explanation:
This is because as x → ∞
3x → 3∞ ,
Also, as x → ∞
4x → 4∞ ,
Also, as x → ∞
3x + 8 → 3∞ + 8,
Also, as x → ∞
4x + 3 → 4∞ + 3 ,
Also, as x → ∞
x² → ∞²,
Also, as x → ∞
x² + 6 → ∞² + 6
and 3∞ < 4∞ < 3∞ + 8 < 4∞ + 3 < ∞² < ∞² + 6
Thus as x → ∞
3x < 4x < 3x + 8 < 4x + 3 < x² < x² + 6 in ascending order
Answer:
i am not 100% sure but i think it is
3x < 3x + 8 < 4^x < 4^x + 3 < x^2 < x^2 + 6
Step-by-step explanation:
I just got this because one of the other answers said replace x with infinite. Their answer would have been wrong because the actual question is supposed to be 4^x and 4^x + 3 which is different than just 4x and 4x + 3. :)
Help,anyone can help me do quetion
Answer:
B1: x = 51
C1: x = 73, y = 34
Step-by-step explanation:
B1:
By exterior angle theorem:
x° + 54° = 105°
x° = 105° - 54°
x° = 51°
x = 51
C1
x° = 73°(Alternate angles)
x = 73
y° = 34° (corresponding angles)
y = 34
Someone Help if they can ASAP!
Answer:
The answer is D.
Step-by-step explanation:
Since (4x+20) and 60 are vertically opposite angles. They both are equal. Hope this helped!
Người ta dự định chuyển 78452 lít dầu từ kho A sang kho B Trong 4 ngày đầu mỗi ngày chuyển được 18214 lít dầu hỏi còn phải chuyển bao nhiêu lít dầu nữa
Answer:
5596 liters of oil still need to be transferred.
Step-by-step explanation:
Total oil = 78452 liters
oil transferred each day for 4 days = 18214 liters
The amount of oil transferred in 4 days = 4 x 18214 = 72856 liters
The mount of oil left in ware house A
= 78452 - 72856
= 5596 liters
PLEASE PLEASE PLEASE HELP ME
EXPLAINING YOUR ANSWER WILL GIVE YOU BRAINLIEST
I REALLY NEED HELP AND ACCURATE ANSWERS
Answer:
the area of sector is
[tex] \frac{126}{360} \times \pi \times ( \frac{16}{2} ) {}^{2} = \frac{112}{5} \pi[/tex]
Answer:
Step-by-step explanation:
126/360 × pi× radius²= Area of the sector
Select the rule for each piece. Rule for piece 1: Rule for piece 2:
Answer:
Rule for piece 1: y=-x
Rule for piece 2: y=1
Rule for piece 3: y = 2-x
Step-by-step explanation:
There is a bag filled with 5 blue and 6 red marbles.
A marble is taken at random from the bag, the colour is noted and then it is replaced.
Another marble is taken at random.
What is the probability of getting 2 of the same colour?
Answer:
The probability of getting two of the same color is 61/121 or about 50.41%.
Step-by-step explanation:
The bag is filled with five blue marbles and six red marbles.
And we want to find the probability of getting two of the same color.
If we're getting two of the same color, this means that we are either getting Red - Red or Blue - Blue.
In other words, we can find the independent probability of each case and add the probabilities together*.
The probability of getting a red marble first is:
[tex]\displaystyle P\left(\text{Red}\right)=\frac{6}{11}[/tex]
Since the marble is replaced, the probability of getting another red is: [tex]\displaystyle P\left(\text{Red, Red}\right)=\frac{6}{11}\cdot \frac{6}{11}=\frac{36}{121}[/tex]
The probability of getting a blue marble first is:
[tex]\displaystyle P\left(\text{Blue}\right)=\frac{5}{11}[/tex]
And the probability of getting another blue is:
[tex]\displaystyle P\left(\text{Blue, Blue}\right)=\frac{5}{11}\cdot \frac{5}{11}=\frac{25}{121}[/tex]
So, the probability of getting two of the same color is:
[tex]\displaystyle P(\text{Same})=\frac{36}{121}+\frac{25}{121}=\frac{61}{121}\approx50.41\%[/tex]
*Note:
We can only add the probabilities together because the event is mutually exclusive. That is, a red marble is a red marble and a blue marble is a blue marble: a marble cannot be both red and blue simultaneously.