Answer:
Step-by-step explanation:
nth term of a sequence = 2n² - 1
Therefore, terms of the sequence will be,
1, 7, 17, 31, 49, ........... n terms
nth term of a different sequence = 40 - n²
Therefore, terms of the sequence will be,
39, 36, 31, 24, 15, 4, -9, -24 .......... n terms
Since, there is no negative number in the first sequence,
Therefore, out of 6 positive terms of second sequence only one number (31) is common in both the sequences.
Write an equation that is perpendicular to the line y = 5x - 1 and passes through the point (10, 8)
Answer:
y = -1/5 x + 10
Step-by-step explanation:
The equation of a line in point slope form is expressed as;
y - y0 = m(x-x0)
m is the slope
(x0, y0) is the point on the line
Given the equation y = 5x -1
Slope m = 5
Slope of the line perpendicular to the line will bw M = -1/5
Substitute into the equation
y - 8 = -1/5(x-10)
5(y-8) = -(x-10)
5y - 40 = -x+10
5y = -x+10+40
5y = -x+50
y = -1/5 x + 10
Hence the required equation is y = -1/5 x + 10
the question is in the photo :) i’m struggling
The price of a skateboard is $75. If the store has a 20% off sale, how much will the skateboard be?
Answer:
The skateboard will be $60
Step-by-step explanation:
$75 x 0.2 = $15
$75 - $15 = $60
Compare: 1.6 x 10^-5 and 1.62 x 104^-4
A) >
B) <
C) =
D) none of the above
Answer:
D
Step-by-step explanation:
Which expression is the multiplicative inverse of -21? A. B. C. 21 D. – 21 ?
Answer:
21
Step-by-step explanation:
Hope this helps!
Answer:
im prretty sure its b
Step-by-step explanation:
PLEASE SHOW YOUR WORK.
Shawn designs a rectangular garden as shown below. He will design both rock sections to have the same width (x).
The area in, square feet, of Shawn’s garden is found be calculating 15(2x + 7). Shawn incorrectly says the area can also be found using the expression 30x + 7.
Describe the error in Shawn’s expression. As part of your explanation, find the difference, in square feet, between the actual area of Shawn’s garden and the area found using his expression.
Answer:
a) Shawn's error was that he Multiplied 15 by 2x only. He didn't Multiply 15 by 7
b) The difference, in square feet, between the actual area of Shawn’s garden and the area found using his expression is given as
98 square feet
Step-by-step explanation:
The area in, square feet, of Shawn’s garden is found be calculating 15(2x + 7). Shawn incorrectly says the area can also be found using the expression 30x + 7.
The correct area =
15(2x + 7).
= 30x + 105 square feet
The error in Shawn’s expression is
= 15(2x + 7)
= 30x + 7 square feet
Shawn's error was that he Multiplied 15 by 2x only. He didn't Multiply 15 by 7
The difference, in square feet, between the actual area of Shawn’s garden and the area found using his expression is given as
30x + 105 square feet - 30x + 7 square feet
= 30x + 105 - (30x + 7)
= 30x - 30x + 105 - 7
= 98 square feet
select the correct values for x and y in the figure below given the two figures are similar
Answer:
i think it might be B or C
Step-by-step explanation:
Answer:
B) 120
Step-by-step explanation:
both shapes are supposed to be similar, meaning the 60° on the bigger on is the same on the smaller on
360-120=240
240/2=120
Lamont’s grandmother started a stamp collection in 1914 (year 1) and added the same number of stamps to the collection each year. When Lamont’s mother received the collection in 1954, there were 203 stamps in the collection. Lamont’s mother continued to add the same number of stamps to the collection each year. When Lamont received the collection in 1990, there were 383 stamps in the collection. If Lamont continued to add the same number of stamps each year, how many stamps were in the collection at the end of 2000 (year 86)?
A. 204
B. 293
C. 433
D. 663
Answer: C. 433
Step-by-step explanation:
Linear equation: y=mx+c, where m= constant rate of change, c=initial value of yor y-intercept.
Let x = number of years after 1914.
y= Number of stamps after x years.
In 1954 (year 40), there were 203 stamps in the collection.
i.e. 203=40m+c (i) [rate of change in number of stamps is constant]
In 1990 (year 76), there were 383 stamps in the collection.
i.e. 383=76m+c (ii)
Subtract (i) from (ii)
180= 36m
[tex]\Rightarrow\ m=5[/tex] i.e. 5 stamps added per year.
from (i), [tex]203=40(5)+c\Rightarrow\ c=203-200=3[/tex] [Initially he has 3 stamps]
Stamps in 2000(year 86) = m(86)+c= 5(86)+3
= 430+3
= 433
Hence, correct option is C. 433
select all relations that are functions from the choices below.
A quadrilateral has three angles that measure 88°, 82°, and 55°. Find the unknown angle measure.
Answer: 135° is the unknown angle measure.
Step-by-step explanation: We know a quadrilateral has 4 angles and measure a total of 360°.
To find the unknown angle simply add all the 3 angles and then subtract them from 360°.
Follow the steps:
88° + 82° + 55° = 225°. (Added the 3 angles)
360° - 225° = 135°. (Subtract the sum of the 3 angles from 360 degrees)
This year, there are 220 farmers raising chickens in the county. This is a 30% increase over last year. How many farmers raised chickens last year?
Answer:
169 farmers raised chickens last year.
Step-by-step explanation:
Given that:
Number of farmers raising chickens this year = 220
This is 30% more than previous year.
Let,
100% be the percent of previous year and x be the number of farmers who raised chicken previous year.
Percent of farmers who raised chickens this year = (100+30)% = 130%
130% of x = 220
[tex]\frac{130}{100}x = 220[/tex]
1.3x = 220
Dividing both sides by 1.3
[tex]\frac{1.3x}{1.3}=\frac{220}{1.3}\\x=169.23[/tex]
Rounding to nearest whole number
x = 169
Hence,
169 farmers raised chickens last year.
Make q the subject of the formula 2(5q^2+1)=c
margarite owns a boutique. she sells her jewelry at a 30% markup. if she buys a bracelet for $22, what would she sell it for after the markup?
GUYS PLZZZ HELPPPP MEEE IM GIVING oUT BRAINLIEST PLZZZ WHAT IS IT
Answer:
its 56
Step-by-step explanation:
Lol ive done dis before
Answer:
Step-by-step explanation:
38.1
Please help I with give Brainiest if correct
Answer:
7r 637 74 472a.b/s
Step-by-step explanation:
Note: Figure not drawn to scale.
Height has been rounded for computational ease.
If h = 8 units, X = 9 units, Y = 8 units, and Z = 16 units, what is the volume of the triangular prism shown above?
A.
480 cubic units
B.
512 cubic units
C.
1,024 cubic units
D.
576 cubic units H= height y = is the length and z and the other x are width there is a visual
Answer:
this is very simple
its 2342423424324343
Step-by-step explanation:
Answer:
Its D i just did it on study island
Step-by-step explanation:
CAN SOMEONE FROM USA DM ME PLS I HAVE ONE PROBLEM PLSSS ILL DO WHATEVER YOU WANT
What's wrong with you?
Answer:
UHHHHh
Step-by-step explanation:
wh- That's just...
PLS HELP!!! it’s easy and i’ll give brainliest
Answer:
6.5
Step-by-step explanation:
8÷tan(51)=6.47...
=6.5(correct to the nearest tenth)
I’m literally gonna go insane from this TwT
2
2
4 4
3
7
37
39
41
43
Answer:
39
Step-by-step explanation:
What is the final elevation if a bird starts at 20 m and changes 16 m?
Do not include units (meters) in your answer
Answer:
Depends if the bird is going up or down, if going up, then they are 36 (you said don't say units so i won't say it) in going up and 4 if going down! :D
Step-by-step explanation:
Find the length of side AB.
Give your answer to 3 significant figures.
с
410
13.5 cm
A
B
Answer:
AB ≈ 8.86 cm
Step-by-step explanation:
Using the sine ratio in the right triangle
sin41° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{AB}{BC}[/tex] = [tex]\frac{AB}{13.5}[/tex] ( multiply both sides by 13.5 )
13.5 × sin41° = AB , then
AB ≈ 8,86 cm ( to 3 significant figures )
Answer:
8.87
Step-by-step explanation:
use the sin law for right triagles sin(θ)= opposite/hypotenuse so
sin(41)=(AB)/13.5
13.5×sin(41)=AB
8.87=AB
Pet Supplies make a profit of $5.50 per bag on the nine of natural dog food. If the store wants to make a profit of no less than $5200, how many bags of dog food does the store I need to sell?
Answer:
=> (5200 X 9)/5.5=8509
Step-by-step explanation:
Please help. I don’t understand any of these
Answer:
use M A T H W A Y
Step-by-step explanation:
Combine the like terms to create an equivalent expression. k + k A 2k B k C 3
plz help i am in 6 grade
Answer:
2k
k+k=2k
Step-by-step explanation:
what is the distance between (-5,8) and (-5.-8)
Answer: Use the formula y = mx + b in order to solve for b. Then, plug in known vaules.
y= -13x -57
Step-by-step explanation:
Conver Mixed Number to an Improper Fraction
15 and 7/10
Answer:157/10
Step-by-step explanation:
Make 15 into an improper fraction (every number is a fraction over 1) so multiply the numerator(15) and the denominator(1) by 10 to get 150/10 then add 150/10 to 7/10 to get 157/10
Answer:
[tex]\frac{157}{10}[/tex]
Step-by-step explanation:
Step 1
Multiply the denominator by the whole number
10 × 15 = 150
Step 2
Add the answer from Step 1 to the numerator
150 + 7 = 157
Step 3
Write answer from Step 2 over the denominator [tex]\frac{157}{10}[/tex]
Find the missing length indicated.
х
12
9
X =
units
Answer:
16
Step-by-step explanation:
9/12=12/x
x=16
please help me on this will give you brainliest
f(x) = 2x + c
g(x) = cx + 7
fg(x) = 4x + d
C and d are constants.
Work out the value of d.
May someone help me pleaseeee
Answer:
c=2, d=16
Step-by-step explanation:
The value of c is 2 and value of d is 16 when f(x) = 2x + c, g(x) = cx + 7 and fg(x) = 4x + d
What is a function?A relation is a function if it has only One y-value for each x-value.
Given,
f(x) = 2x + c...(1)
g(x) = cx + 7..(2)
fg(x) = 4x + d..(3)
We need to find the values of c and d
fg(x) = 2(cx+7) + c
Apply distributive property
fg(x) =2cx+14+c...*
Now compare * with equation 3
2cx=4x
2c=4
Divide both sides by 2
c=2
and 14+c=d
Substitute c in above equation
14+2=d
d=16
Hence, the value of c is 2 and value of d is 16 when f(x) = 2x + c, g(x) = cx + 7 and fg(x) = 4x + d
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