Given N1 = 6 and Nn+1 = 6(Nn - 4) ). Find N3.
Answer:
48
Step-by-step explanation:
N₁ = 6
N(n+1) = 6*(Nn -4 )
N₍₁₊₁₎= 6* (N₁ - 4)
N₂ = 6 *(6-4) = 6*2
N₂ = 12
N₍₂₊₁₎ = 6*(N₂ - 4)
N₃ = 6*(12 -4) = 6* 8
N₃ = 48
Is y=-x^3+2x linear or non linear
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Answer:
non-linear
Step-by-step explanation:
The degree of this polynomial equation is the highest power of x: 3. When the degree is not 0 or 1, the relation is non-linear.
The path of a skateboarder can be modeled by the equation (x – 3)2 = –4(y – 9), where distance is in feet and air resistance is insignificant. If the skateboarder makes a jump from a ramp at x = 0, what is her maximum height and how far is she horizontally from the end of the ramp when she lands?
Answer:
The correct answer would be: "Maximum height 9 feet; horizontal distance 9 feet".
Step-by-step explanation:
I know this not only because I already took the test, BUT by graphing the equation (you can use graphing apps) it'll give you the answer.
Her maximum height is 9 feet & she is horizontally 9 feet from the end of the ramp when she lands.
What is skateboarders maximum height ?
The path of the skateboarder can be modelled by the equation,
(x-3)² = -4(y-9)
Now, from the equation, solving y,
(x-3)² = -4(y-9)
⇒ y-9 = -[tex]\frac{1}{4}[/tex](x-3)²
⇒ y = -[tex]\frac{1}{4}[/tex](x-3)² + 9
∴ Maximum height is 9 feet.
How far is she horizontally from end of ramp ?We have to take y = 0,
Now, -[tex]\frac{1}{4}[/tex](x-3)² + 9 = 0
⇒ -(x²-6x+9)+36 = 0
⇒ -x²+6x-9+36 = 0
⇒ x²-6x-27 = 0
⇒ x²-9x+3x-27 = 0
⇒ (x-9)(x+3) = 0
⇒ x = 9 or x = -3
Neglecting the negative value we get, x = 9
So, Her horizontal distance from end of the ramp is 9 feet.
Learn more about quadratic problems here :
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Please help me understand
Answer:
C. $30Step-by-step explanation:
According to the first part of the equation, hourly pay is $25, up to 38 hours.
Overtime is paid over 38 hours.
Find the hourly pay for overtime, taking x = 39 and finding the difference with the total at x = 39 and x = 38, then we have the payment for one hour.
30(39 - 38) + 950 - 38*25 = 30 + 950 - 950 = 30Correct choice is C
A deep sea diver dives 26 feet from the surface of the ocean. He then ascends 7 feet. What interger represents the divers present location in the sea?
Answer:
-19
Step-by-step explanation:
Previous position in sea + change in position= current position
-26+7= -19
Hope this helps! :)
Answer:
It is -19
Step-by-step explanation:
Well, you would do this -26 + 7 because the diver dove 26 feet BELOW sea level, which is also -26. He then ascends 7 feet, which means he is coming UP. So -26 + 7 = -19.
A street sign is in the shape of an isosceles triangle that has a base of 6.5 inches bigger than either of the equal sides. If the perimeter of the triangle is 65 inches, what is the length of the equal sides?
Answer:
19.5
Step-by-step explanation:
side is 6.5 bigger, so minus the 6.5 from the total perimeter of 65 and divide by 3.
65- 6.5 = 58.5
58.5 ÷ 3 = 19.5
equal sides are 19.5
longer side is 19.5 + 6.5
Answer:
19.5 inches
Step-by-step explanation:
You can interpret this problem as x + x + (x + 6.5)=65, with x being the length of the equal sides.
Simplified, this equation becomes 3x+6.5=65.
Solving, this becomes 3x+6.5-6.5=65-6.5 which comes out as 3x=58.5. Next, we divide this equation by 3 on both sides, which then comes out to x=19.5. Therefore, the length of equal sides are 19.5.
Check: There are two equal sides, so 19.5+19.5. Since the base is 6.5 inches bigger than either of the equal sides, the base is equal to 19.5+6.5=26. Adding these values all together comes out to 19.5+19.5+26=65.
Snoopy the dog is on a 25-ft long chain that is attached to the back of a barn (see the
picture below). If the chain does not allow him to go past either of the adjacent sides
of the barn, how much space does Snoopy have to roam?
Use pi = 3.14 and round your answer to the nearest tenth.
Answer:
A = 981.3 ft^2
Step-by-step explanation:
Here we're calculating the area of a semicircle of radius 25 ft.
The area of a circle is A = (pi)(r)^2, and that of a semicircle of the same radius is A = (1/2)(pi)(r)^2.
Here pi = 3.14 and r = 25 ft, and so the area/space in question is
A = (1/2)(3.14)(25)^2
A = 981.3 ft^2
The space does Snoopy have to roam is 490.625 square feet.
Given that, Snoopy the dog is on a 25-ft long chain that is attached to the back of a barn.
What is the area of a sector?The area of a sector is the space inside the section of the circle created by two radii and an arc. It is a fraction of the area of the entire circle.
The formula for the area of the sector of a circle is /360° (r²) where r is the radius of the circle and is the angle of the sector.
From the attached image, we see that snoopy is at the edge of a circle with the garage taking up a quarter of that circle.
Now, the area of space Snoopy was roaming
= 90°/360° × (3.14 × 25²)
= 1/4 × (3.14 × 625)
= 0.25 × 1,962.5
= 490.625 square feet
Therefore, the space does Snoopy have to roam is 490.625 square feet.
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Is the number zero 0 an integer?
Yep! It is an integer!
Any negative, positive number or 0 is an integer.
Hope it helps!
0 is an integer
an integer is simply any number that does not have a decimal point and is not a fraction.
even of it has a negative sign or positive sign, it is still an integer
it can also be called a whole number
hope this helps,
thank you!!
100 POINTS!!! & Brainliest
A cat weighing 12.1lb needs insulin at 2.0 international units (IU)/kg. The insulin comes in a concentration of 10 IU/mL. How much insulin do you give the cat? Please show work!
Answer:
[tex]1 \: lb = 0.453 \: kg \: \\ first \: lb \: convert \: to \: kg \\ cat \: weight \: 12.1 \times 0.453 = 5.4813 \: kg \\ how \: much \: iu \: isulincat \: need \\ we \: must \: multiply\: the \: weight \: of \:cat \: to \: 2 \\ \\ 5.4813 \times 2 = 10.9626 \: iu[/tex]
good luck
Peter increased the amount of crunches he did from 32 to 36. By what percentage did Peter increase the amount of crunches he completed?
A 30%
B 12.5%
C 20%
D 22.5%
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Answer:
B 12.5%
Step-by-step explanation:
The percentage change is calculated as ...
% change = ((new value)/(old value) -1) × 100%
= (36/32 -1) × 100% = 1/8 × 100% = 12.5%
Peter increased his crunches by 12.5%.
Simplify Forty eight fourths 48/4
Step-by-step explanation:
48 divided by 4, is 12
or 12/1
histogram can be drawn for equal and unequal classes. True/False
Answer:
False
Step-by-step explanation:
Histogram cannot be drawn for equal and unequal classes. Therefore, the statement is false.
Histograms simply means a graphical representation that is used for organizing groups of data. It should be noted that Histogram cannot be drawn for equal and unequal classes. Therefore, the statement is false.Learn more about histograms on:
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Jayden needs at least 3 cups of vegetable oil to make chow menu. If Jayden has 20 fluid ounces of vegetable oil , and there are 8 fluid ounces in 1 cup will he be able to make chow mein . Yes or no
Answer: No
Step-by-step explanation:
He need 3 cups which is converted into 24 ounces. There is 8 ounces in a cup and he has three. He has 20 ounces and he needs 24.
NO LINKS PLEASE HELP DUE IN 10MINS!While making oatmeal cookies, Angela needs to add cup of milk to her dough. However, she has only a -cup measuring cup. How many times does she need to fill the measuring cup to pour cup of milk?
The number of times Angela needs to fill the -cup measuring cup to pour cup of milk is
Answer:15
Step-by-step explanation:
You want to buy a shirt that is $11.99 and the store is having a 25% off sale what do u pay for the shirt
It is 25% off so it is 75% of the price. 75/100*11.9 = 8.9925
It rounds to about $8.99
Identify the zero(s) of the graph below. A: x = 3 B: x = 1 C: x = {1, 3} D: x= {0, 3}
Answer:
Jan din Ako nahirapan sorry same lang tayo
Help me on this pls and thank you
Help help help plz plz
Answer:
6^15
Step-by-step explanation:
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)) Jerry took his extended family out for a dinner that cost $480. Jerry paid 5% sales tax
and left a 20% tip on $480. What was the total cost?
Answer:
$600
Step-by-step explanation:
Katy is older than Alex and Beth. Sarn is
younger than Alex and older than Beth.
Delores is older than Sam but younger than
Katy. Delores is Alex's older sister. If the
ages of these students are 14, 15, 16, 17,
and 18, who is 16 years old?
If x is an integer in the first quadrant and sin(x)=3/4 find sin(2x), cos(2x), and tan(2x)
Answer:
[tex] \sin(x) = \frac{ 3}{4} \\ {sin}^{2}(x) + {cos}^{2}(x) = 1 \\ {cos}^{2}(x) + {( \frac{3}{4} )}^{2} = 1 \\ {cos}^{2}(x) = 1 - \frac{9}{16} = \frac{7}{16} \\ cos(x) = \frac{ \sqrt{7} }{4} \\or \\ {4}^{2} - {3}^{2} = {a}^{2} \rightarrow {a}^{2} = 16 - 9 = 7 \\ a = \sqrt{7} \\ cos(x) = \frac{ \sqrt{7}}{4} \\ \tan(x) = \frac{ \sin(x) }{ \cos(x) } = \frac{ \frac{3}{4} }{ \frac{ \sqrt{7} }{4} } = \frac{3}{ \sqrt{7} } \\ \sin(2x) = 2 \sin(x) \cos(x) \\ = 2( \frac{3}{4} . \frac{ \sqrt{7} }{4} ) \\ \sin(2x) = \frac{3 \sqrt{7} }{8} \\ \cos(2x) = { \cos(x) }^{2} - { \sin(x) }^{2} \\ = 1 - 2 { \sin(x) }^{2} \\ \tan(2x) = \frac{ \sin(2x) }{ \cos(2x) } [/tex]
In preparation for her math test on Thursday, Emerson studied 1/2 hour on Monday, 1 1/16 hours on Tuesday, and 3/8 hour on Wednesday. What is the total amount of time that Emerson spent studying for her test? (Simplify your answer and state it as a mixed number.)
Answer:
Step-by-step explanation:
1/2 + 1 1/16 + 3/8 = ?
Least common denominator is 16
8/16 + 17/16 + 6/16 = 31/16 = 1 15/16 hours
You have three pieces of ribbon measuring 16 cm, 24 cm, and 40 cm respectively. You want to cut them into strips of the same length. What is the longest possible length of one strip?
Answer:8
Step-by-step explanation:
(16---->1,2,4,(8),16
24----->1,2,3,4,6,(8),12,24
40----->1,2,4,5,(8),10,20,40
Because 8 is the largest common divisor
Which other figure is a part of line CD?
I am thinking of two numbers.
Sum of these two numbers
is 58, and the difference of these two numbers are b.
What are the two numbers?
What is the answer to this problem?
Answer:
Step-by-step explanation:
Let one number=x
Therefore the othernumber=x+b
Since,
x+x+b=58
==>2x+b=58
==>2x=58-b
==>x=(58-b)/2
Therefore the other number is (58-b)/2 + b
please someone solve this too <3
Answer:
<AED = 173 degrees
Step-by-step explanation:
<BEC = 180 - 73-79 = 28 degrees (interior angles of a triangle: 180 degrees)
<CED = 180 - 96 - 37 = 47
<AED = 360 - 28 - 47 - 112 = 173 degrees (circle: 360 degrees)
Can someone help me and explain me how you do this and not only give me the answer?
Answer:
just add the terms -154+8850= 8696 m
Triangle A, B, C, is shown. Angle C, A, B is 70 degrees. Angle A, B, C is 70 degrees.
Find the missing angle A C B
Answer:
40°
Step-by-step explanation:
<CAB=70°
<ABC=70°
<ACB+ <CAB+ <ABC=180(sum of angles in a triangle)
<ACB +70+70=180
<ACB+140=180
<ACB=180-140
<ACB=40°
Brainlist for you :)
Answer:BAHAHAHA THATS AWESOME
Step-by-step explanation:
Oliver drove the first 90 miles of his journey in 1.5 hours and the remaining 120 in 3 hours. What was the average speed on the second part of Oliver’s journey?
Answer:
Step-by-step explanation:
90 miles + 120 miles = 210 total miles
1.5 hours + 3 hours = 4.5 total hours.
Average speed = 210 miles / 4.5 hours = 46 2/3 miles per hour
Answer:
40
Step-by-step explanation:
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