Answer:
2
Step-by-step explanation:
The common difference in an arithmetic sequence is the difference between any two terms
So, you could start by doing -3 + d = -1
-3 + d = -1
-3 + d +3 = -1 +3
d = 3 -1
d = 2
Now test it with other terms
-1 + d = 1
Substitute
-1 +2 = 1
2 -1 = 1
1 = 1
It works!!!
If you want you can try it with 1 and 3
1 + d = 3
1 + 2 = 3
3 = 3
I hope this helps!!!!
2x+3y=6 and 2x+y=-2 solved by elimination
the question is:
Jeremy is taking a non- calculator quiz in his algebra 1 class. He decided that the equation below had a value of 1.5. Jeremy has the correct value. EXPLAIN how he found this without the use of his calculator.
the equation: 2^-1+5^0
Answer:
That's very simple 2^–1 is equal to 1/2 and 5^0 is equal to 1. Then add this two. 1/2+1 is equal to 1.5.
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Could someone help me with this I’m kinda stressed out ill give out brainliest please don’t answer if you don’t know thank you
The price of an item has been reduced by 95%. The original price was $33.
Answer:
25%
Step-by-step explanation:
See a solution process below: Explanation: We can use this formula to solve this problem: s=p−(d×p). Where: s is the sales price: what we are
Write the exponent for the expression.
15 × 15
The exponent for the expression is ___
Answer:
2. i think. correct me if im wrong.
Answer: The answer is 2
Step-by-step explanation:
Find the slope of the line graphed below.
-
Step-by-step explanation:
1st point=(-2,2)x1=-2,y1=2
2nd point=(3,-2)x2=3,y2=-2
slope=y2-y1/x2-x1
According to the question,
slope=-2-2/3-(-2)=-4/5
A 29-meter ladder is sliding down a vertical wall so the distance between the top of the ladder and the ground is decreasing at 7 meters per minute. At a certain instant, the bottom of the ladder is 21 meters from the wall.
Complete question
A 29-meter ladder is sliding down a vertical wall so the distance between the top of the ladder and the ground is decreasing at 7 meters per minute. At a certain instant, the bottom of the ladder is 21 meters from the wall.
What is the rate of change of the distance between the bottom of the ladder and the wall at that instant(in meters per minute)
Answer:
[tex]\frac{dx}{dt}=11.94m/min[/tex]
Step-by-step explanation:
From the question we are told that
Slant height [tex]z=29m[/tex]
Change in Vertical height [tex]\triangle y=7m/s[/tex]
Horizontal length [tex]x=21[/tex]
Generally in finding the distance form the top to the bottom of the wall it is mathematically given by
[tex]x^2+y^2=z^2[/tex]
[tex]21^2+y^2=29^2[/tex]
[tex]y^2=29^2+21^2[/tex]
[tex]y=35.81[/tex]
Generally solving for the differential equation is mathematically represented as
[tex]x^2+y^2=29^2[/tex]
[tex]2x*\frac{dx}{dt} +2y*\frac{dy}{dt} =0[/tex]
[tex]x*\frac{dx}{dt} +y*\frac{dy}{dt} =0[/tex]
[tex](21)*\frac{dx}{dt} +(35.81)*(-7) =0[/tex]
[tex](21)*\frac{dx}{dt} -250.64 =0[/tex]
[tex]\frac{dx}{dt}=\frac{250.64}{21}[/tex]
[tex]\frac{dx}{dt}=11.94m/min[/tex]
The rate of change of the distance between the bottom of the ladder and the wall at that instant is 6.67 meter per minute.
Let us consider that distance between the top of the ladder and the ground is x meter and distance between the bottom of the ladder and the wall is y meter.
So, A right angle triangle is formed.
Since, the bottom of the ladder is 21 meters from the wall.
So, [tex]y=21[/tex]
Applying Pythagoras theorem,
[tex]x^{2} +y^{2}=(29)^{2} \\\\x^{2} +(21)^{2}=(29)^{2} \\\\\\x^{2} =841-441=400\\\\x=\sqrt{400} =20[/tex]
Given that, the distance between the top of the ladder and the ground is decreasing at 7 meters per minute.
[tex]\frac{dx}{dt}=-7meter/min[/tex]
Differentiate below equation with respect to time.
[tex]x^{2} +y^{2}=(29)^{2} \\\\2x\frac{dx}{dt}+2y\frac{dy}{dt}=0 \\\\2(20)(-7)+2(21)\frac{dy}{dt}=0\\\\\frac{dy}{dt}=\frac{280}{42}=6.67meter/min.[/tex]
Thus, the rate of change of the distance between the bottom of the ladder and the wall at that instant is 6.67 meter per minute.
Learn more about Differentiation here:
https://brainly.com/question/14023950
HELP ASAP I’ll GIVE BRAINLIEST :))))
Which of the following does -
Answer:
Step-by-step explanation:
A
The sum of two numbers is 30 and their difference is 12, what are the two numbers
Answer:
Sum: 21 + 9 = 30
Difference: 21 - 9 = 12
Step-by-step explanation:
Let the number is a and b
The sum of two numbers =30
so,a+b=30 ............(1)
The difference of two number =12
so,a-b=12 .................(2)
If we add two equation (1) and (2)
we get,
a+b+a-b=30+12
2a=42
[tex]\tt{ a=\dfrac{42}{2} }[/tex]
[tex]\tt{ a=21 }[/tex]
so,one number is a=21
if we put the value a in (2) equation
we get,
a-b=12
21-b=12
b=21-12
b=9
so,the another number is=b=9
[tex]\tt{ the~two~ number~ are~ 21 ~and~ 9 }[/tex]
Jennifer makes 13 apple pies using 338 apples. Mateo used 9 apple pies using 216 apples. If they each have 105 apples, will Mateo And Jennifer make the same amount of apple pies ?
Answer: Yes. They'll both make 4 apple pies.
Step-by-step explanation:
Jennifer makes 13 apple pies using 338 apples. The fraction of apple pies made based on the number of apples will be:
= 13 / 338
= 0.03485
Mateo used 9 apple pies using 216 apples. The fraction of apple pies made based on the number of apples will be:
= 9 / 216
= 0.0417
When they each have 105 apples, the number of apple pies that Mateo will make will be:
= 0.03485 × 105
= 3.65925
= 4 apple pie approximately
Jennifer will make:
= 0.0417 × 105
= 4.3785
= 4 apple pie approximately
Help a girl out this is 9th grade math is really appreciate it
Answer:
Yes (2,7) Is A solution of the system
Step-by-step explanation:
Find the volume of a cylinder with a radius of 3 inches and a height of 2
Answer:
56.55m³
Step-by-step explanation:
use a calculator, not brainly
solve each system by substitution
Answer:
x=2,y=5
Step-by-step explanation:
y=8x-11 ----(1)
y=-7x+19----(2)
Replace (1) in (2)
8x-11 =-7x+19
8x+7x=19+11
15x =30
x =30÷2
x =2
If x=2,then replace x=2 in (1)
y=8(2)-11
y=16-11
y=5
2x² + 3 × (-x²) + 6x + 2
Answer:
1x²+5 x 6x
Step-by-step explanation:
help me understand please will mark brainliest
Answer:
2 (l+b)= 70
2(l+13)=70
2l+26=70
2l= 44
l=22
Step-by-step explanation:
Hope this helps!!!
Which spinner could not be used to simulate a baby being born male or female. a spinner 2 equal section. A spinner with 3 equal sections. a spinner with 6 equal sections. A spinner with 10 equal sections
Answer:
C spinner with 7 equal sides
Step-by-step explanation:
Water boils at 100LaTeX: ^\circ∘ Celsius or 212LaTeX: ^\circ∘ Fahrenheit. Water freezes at 0LaTeX: ^\circ∘ Celsius or 32LaTeX: ^\circ∘ Fahrenheit. If the weather forecaster says it will be 30LaTeX: ^\circ∘ Celsius today, write and solve a linear equation to find what Fahrenheit temperature this is.
Answer:
[tex]F = 1.8C +32[/tex]
[tex]F = 86^{\circ}F[/tex]
Step-by-step explanation:
Represent Celsius with C and Fahrenheit with F.
So, we have:
[tex](C_1,F_1) = (100,212)[/tex]
[tex](C_2,F_2) = (0,32)[/tex]
Solving (a): Represent as a linear equation
First, we calculate the slope:
[tex]m = \frac{F_2 - F_1}{C_2 - C_1}[/tex]
This gives:
[tex]m = \frac{32 - 212}{0 - 100}[/tex]
[tex]m = \frac{-180}{- 100}[/tex]
[tex]m = 1.8[/tex]
The linear equation is then calculated using:
[tex]F - F_1 = m(C -C_1)[/tex]
Where
[tex](C_1,F_1) = (100,212)[/tex]
[tex]m = 1.8[/tex]
[tex]F - 212 = 1.8(C -100)[/tex]
[tex]F - 212 = 1.8C -180[/tex]
Make F the subject
[tex]F = 1.8C -180+212[/tex]
[tex]F = 1.8C +32[/tex]
Solving (b): The value of F when C = 30
Substitute 30 for C in [tex]F = 1.8C +32[/tex]
[tex]F = 1.8 * 30 + 32[/tex]
[tex]F = 54 + 32[/tex]
[tex]F = 86[/tex]
Answer:
person above me is wrong
28,46,25,76,18,25,47,83,44 what's the median,first quartile,third quartile, and interquartile range
Answer:
median: 44
first quartile: 25
third quartile: 61.5
interquartile range: 36.5
Step-by-step explanation:
For the given data set median is 44, first quartile is 25, third quartile is 61.5 and interquartile range is 36.5.
What is the interquartile range?The Interquartile Range (IQR) formula is a measure of the middle 50% of a data set. The smallest of all the measures of dispersion in statistics is called the Interquartile Range. The difference between the upper and lower quartile is known as the interquartile range.
Formula to find the interquartile range is Interquartile range = Upper Quartile - Lower Quartile =Q2=Q3-Q1
The given date set is 28,46,25,76,18,25,47,83,44.
The data in order 18,25,25,28,44,46,47,76,83.
Here,
Median =44
First quartile=Q₁=25
Third quartile=Q₃= (47+76)/2
= 61.5
Now, interquartile range (IQR)
= Q₃-Q₁
= 61.5-25
= 36.5
Therefore, for the given data set median is 44, first quartile is 25, third quartile is 61.5 and interquartile range is 36.5.
Learn more about the interquartile range here:
https://brainly.com/question/4135956.
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Find the missing side length
Write an equation in slope-intercept form
(y = mx + b) of the line that is
perpendicular to the graph of 4x + 8y = 5
and passes through (3,9).
3(2x+5)-x=__x+__
put 2 numbers in the blanks to make no solutions
Answer:
5x + 15
Step-by-step explanation:
3(2x + 5)-x
6x + 15 - x
5x + 15
Hope this Helps!!!
If line a and b are parallel, what is the value of x?
Please help me
Mateo found a sale on skateboards.The skateboard he would like to purchase is 179.99. The sales tax is 6.5%. How much will Mateo spend in all after the discount and tax are applied?
Answer:
$191.69
Step-by-step explanation:
0.065 x 179.99 = 11.70
179.99 +11.70
pls help!!
what would the answer be when rounded to one significant figure.
need help with this thanks
Answer:
15.51
Step-by-step explanation:
Answer:
15.51
Step-by-step explanation:
The calculator is $49.50.
The radio is $114.99.
First, we add them together.
49.50+114.99 = 164.49
that is the total cost of both the radio and calculator.
Next, we subrtact 180.00-164.49= 15.51.
0.10( y-7)+0.02y=0.20y-0.4 it has to be an integer or decimal ergent!
9514 1404 393
Answer:
y = -3.75
Step-by-step explanation:
Solving equations with decimal fractions is done the same way as with numbers in any other form. Use your skill with decimal number arithmetic.
0.10(y -7) +0.02y = 0.20y -0.4
0.10y -0.70 +0.02y = 0.20y -0.40
-0.30 +0.12y = 0.20y . . . . . . . . add 0.40 and collect terms
-0.30 = 0.08y . . . . . . . . . . . . . . subtract 0.12y
-0.30/0.08 = y = -3.75 . . . . . . .divide by the coefficient of y
heeeeeeeeeeelp pleaseeeeeeeeeeee
Answer
<2 = <4 = <6 = <8
All of those are 94 degrees
<1 = <3 = <5 + <7
All of those are 86 degrees
Hope this helps :D
solve the following equation when x = 8
15x - 2 =
Answer:
118
Step-by-step explanation:
15(8)-2
120-2
118
Brainly plss?
Answer:
118
Step-by-step explanation:
you do 15 x 8 then subtract 2 from the product
Please help me with this quadratic equation question! I always give out 5 stars, thanks and brainliest to people that help me with a good explanation.
Find the values of p and q given that 12x² - 13x - 7175 = (x-p) (qx + 287)
Answer:
[tex]p=25,\\q=12[/tex]
Step-by-step explanation:
In [tex](ax+b)(cx+d)=acx^2+bcx+dax+bd[/tex], notice the third term of the quadratic in standard form is formed entirely by [tex]b\cdot d[/tex].
Therefore, in [tex]12x^2 - 13x - 7175 = (x-p) (qx + 287)[/tex]:
[tex]-p\cdot287=-7175,\\-p=\frac{-7175}{287},\\p=\fbox{$25$}[/tex].
Now that we found [tex]p[/tex], we must find [tex]q[/tex]. The first term of the quadratic in standard form is formed entirely by [tex]ax\cdot cx[/tex]. Therefore:
[tex]1\cdot q=12, \\q=\fbox{$12$}[/tex].
A sequence is recursively defined as a(n)=2a(n-2) for values of n>2. Find the seventh term of the sequence if a(1)=0 and a(2)=1
Answer:
a(7) = 21
Step-by-step explanation:
Using the recursive formula and a(1) = 0, a(2) = 1 , then
a(3) = a(2) + 2a(1) = 1 + 2(0) = 1 + 0 = 1
a(4) = a(3) + 2a(2) = 1 + 2(1) = 1 + 2 = 3
a(5) = a(4) + 2a(3) = 3 + 2(1) = 3 + 2 = 5
a(6) = a(5) + 2a(4) = 5 + 2(3) = 5 + 6 = 11
a(7) = a(6) + 2a(5) = 11 + 2(5) = 11 + 10 = 21