Answer:
3, 5, 7
Step-by-step explanation:
Substitute n = 1, 2, 3 into the nth term rule
a₁ = 2(1) + 1 = 2 + 1 = 3
a₂ = 2(2) + 1 = 4 + 1 = 5
a₃ = 2(3) + 1 = 6 + 1 = 7
Answer:
3, 5, 7
Step-by-step explanation:
n = 1, 2, 3 into the nth term rule
a₁ = 2(1)+1=2+1=3
a2=2(2)+1=4+1=5
a3 = 2(3)+1=6+1=7
What is the average rate of change of the function over the interval x = 0 to x = 8?
f(x)=2x−1/3x+5
Enter your answer, as a fraction, in the box.
====================================================
Work Shown:
Plug in x = 0
[tex]f(x) = \frac{2x-1}{3x+5}\\\\f(0) = \frac{2*0-1}{3*0+5}\\\\f(0) = \frac{0-1}{0+5}\\\\f(0) = -\frac{1}{5}\\\\[/tex]
Repeat for x = 8
[tex]f(x) = \frac{2x-1}{3x+5}\\\\f(8) = \frac{2*8-1}{3*8+5}\\\\f(8) = \frac{16-1}{24+5}\\\\f(8) = \frac{15}{29}\\\\[/tex]
Now use the average rate of change formula
[tex]m = \frac{f(b)-f(a)}{b-a}\\\\m = \frac{f(8)-f(0)}{8-0}\\\\m = \frac{15/29 - (-1/5)}{8}\\\\m = \frac{15/29 + 1/5}{8}\\\\m = \frac{(15/29)*(5/5) + (1/5)*(29/29)}{8}\\\\m = \frac{75/145 + 29/145}{8}\\\\[/tex]
[tex]m=\frac{104/145}{8}\\\\m = \frac{104}{145} \div \frac{8}{1}\\\\m = \frac{104}{145} \times \frac{1}{8}\\\\m = \frac{104*1}{145*8}\\\\m = \frac{104}{1160}\\\\m = \frac{13}{145}\\\\[/tex]
please help me!!
how many times does 10% go into 34,950,101?
Answer:
10
Step-by-step explanation:
If you multiply 10% of 34,950,101 by 10, you will get the value of 34,950,101.
Using 20 boxes of nails a carpenter was able to finish 40 bird houses. Write an
equation that can be used to express the relationship between the total number of
birdhouses completed(t)and the boxes of nails(b) used.
Help ASAP!
Answer: 20 times 2 equal 40/ 40 divided by 2 is 20
Step-by-step explanation: Both of them should help you find the answer
A retailer allowed 12% discount and sold a T-shirt at a loss of Rs 16. If he had sold it at 10% discount he would have gained Rs 20. For what price did he purchase the T-shirt?
Answer:
purchased it for 1600
Step-by-step explanation:
[tex].88x-y\:=\:-16\:\\\:.9x-y\:=\:20[/tex]
Rewrite 4/6 : 1/3 as a unit rate.
A. 12:6
B. 12:1
C. 2:1
D. 2/9
Answer:
C
Step-by-step explanation:
(4/6) : (1/3), multiply by 3 both sides
(4/2) : 1 = 2:1
Answer:
A. 12:6
Step-by-step explA. 2
SE MULTIPLICA 4X3 Y 6X1
Victor and Kelsey have identical sandwiches. Victor eats \frac{2}{5} of his sandwich. If Kelsey eats \frac{15}{8} as much as Victor does, what fraction of her sandwich did she eat?
Answer:10/5
Step-by-step explanation:
convert 72° into grades.
Answer:
[tex]72in \: grades = > 1degree = \frac{10}{9} \times 72 \\ 72degree = \frac{10}{9} \times 72grades \\ 7degre = 80grades \\ thank \: you[/tex]
Is 100.1 rational or irrational
Answer:
It's rational number
Step-by-step explanation:
if a number is non stop it is irrational
it a number stops as it stopped here at 1 so it's a rational number
Answer:
Rational
Step-by-step explanation:
It's a decimal with no recurring digits:)
(15×4)6÷6[{32÷4(7x2-15+5)}+3]
(15×4)6÷6[{32÷4(7x2-15+5)}+3]
= -2
[ use BODMAS rule]
Please look at picture and answer question with full explanation
Answers:
44 small cartons176 medium cartons44 large cartons3256 eggs in total=========================================================
Explanation:
1/6 of the total number of cartons are small. We have 264 total cartons, so,
1/6 of 264 = (1/6)*264 = 44
We need 44 small cartons.
---------------
2/3 of the total cartons are medium, so,
2/3 of 264 = (2/3)*264 = 176
There are 176 medium cartons.
---------------
So far we calculated there are 44+176 = 220 cartons from the small and medium sizes.
This must mean there are 264 - 220 = 44 large cartons
---------------
Now because:
A small carton holds 8 eggsA medium carton holds 12 eggsA large carton holds 18 eggsand
There are 44 small cartonsThere are 176 medium cartonsThere are 44 large cartonsThis means we have
8*44 = 352 eggs from just the small cartons12*176 = 2112 eggs from just the medium cartons18*44 = 792 eggs from just the large cartonsUltimately, we have 352+2112+792 = 3256 eggs in total.
WHATS YOUR TIKTOKKK OMG I WANT MUTUALS
Find x and y in the figure
Answer:
x=10, y=25
Step-by-step explanation:
First, in a trapezoid, the two angles on the same leg (the legs are the opposite sides that are not parallel) add up to 180 degrees. Therefore, 4y as well as (2y+3x) are supplementary. We can write this out as
4y + (2y+3x) = 180
6y+3x = 180
Next, the angles of a triangle add up to 180 degrees. Therefore, as the angles 2y, 4y, and (5x-20) make up a triangle, they add up to 180 degrees. We can write this as
4y + 2y + (5x-20) = 180
6y + 5x -20 =180
Our two equations are thus
6y + 5x - 20 = 180
6y + 3x = 180
If we subtract 6y from both sides in each equation, we can say
5x - 20 = 180-6y
3x = 180-6y
Therefore, we can write
5x-20 = 180-5y = 3x
5x-20=3x
subtract 3x from both sides to make all x variables on the same side
2x-20 = 0
add 20 to both sides to isolate the x and its coefficient
2x = 20
divide both sides by 2 to isolate x
x = 10
Therefore,
x = 10
6y + 3x = 180
6y + 30 = 180
subtract 30 from both sides to isolate the y and its coefficient
6y = 150
y = 25
In figura de mai jos, coardele AB si CD sunt perpendiculare şi congruente. Punctele E,O,F sunt coliniare. Calculați masura unghiului AEF.
Answer:
please translate to English for fast response
Answer:
∡AEF=45°
Step-by-step explanation:
AB=CD ⇒
arcele AB=AC (la coarde egale corespund arce egale)⇒
arc(AB)+arc(BC) = arc(BC)+arc(BD) (descompunerea arcelor AB si AC)⇒
arc(AC)=arc(BD) ⇒
∡BAD≡∡CDA (la arce egale avem unghiuri cu varful pe cerc egale) ⇒
ΔEAD e isoscel (unghiurile de la baza AD sunt congruente) ⇒
[EA]≡[ED], dar si [OA]≡[OD] (OA si OD raze ale cercului)⇒
EO e mediatoarea [AD] (E si O formeaza dreapta EO), dar ΔEAD e isoscel⇒
[EO este si bisectoarea ∡AED (intr-un triunghi isoscel mediatoarea bazei se suprapune cu bisectoarea unghiului opus bazei), dar ∡AED=90° ⇒
∡AEF=45°
The domain of a function can be represented by which one of the following
options?
A. a set of F(x) values
B. a set of both input and output values
C. a set of input values
D. a set of output values
Answer: C. a set of input values
The domain is the set of allowed x values, aka input values.
With fairly many domain problems, one thing to look out for are things like potential division by zero issues. For example, if you had the function f(x) = 2/(x-3), then we want to avoid the denominator x-3 from being zero. Because x = 3 makes x-3 equal to zero, this means we must kick x = 3 out of the domain; however, any other real number will work. This example function therefore has the domain of any real number but 3.
Square roots are another thing that often comes up with domain problems. One example could be g(x) = sqrt(x+5). We'd want the x+5 to never be negative. Solving [tex]x+5 \ge 0[/tex] leads to [tex]x \ge -5[/tex] to tell us what set of input x values we can plug in: namely anything -5 or larger.
Other types of domain problems can occur, but those two types are most common in my experience.
Help !
1. You have a 14 pencils. Two pencils are red, 5 pencils are orange, 3 pencils are
green and 4 pencils are brown
a. If a pencil is picked at random, what is the probability that the pencil
will be orange?
b. If a pencil is picked at random, what is the probability that the pencil
will be green?
c. If a pencil is picked at random, what is the probability that the pencil will be red?
d. If a pencil is picked at random, what is the probability that the pencil
will be brown?
e. If a pencil is picked at random, what is the probability that the pencil
will be brown or red?
Answer:
a. p(orange) = 5/14
b. p(green) = 3/14
c. p(red) = 1/7
d. p(brown) = 2/7
e. p(brown or red) = 3/7
Step-by-step explanation:
1. You have a 14 pencils. Two pencils are red, 5 pencils are orange, 3 pencils are green and 4 pencils are brown.
p(color) = (number of pencils of that color)/(total number of pencils)
p(color) = (number of pencils of that color)/14
a. If a pencil is picked at random, what is the probability that the pencil
will be orange?
p(orange) = 5/14
b. If a pencil is picked at random, what is the probability that the pencil
will be green?
p(green) = 3/14
c. If a pencil is picked at random, what is the probability that the pencil will be red?
p(red) = 2/14 = 1/7
d. If a pencil is picked at random, what is the probability that the pencil
will be brown?
p(brown) = 4/14 = 2/7
e. If a pencil is picked at random, what is the probability that the pencil
will be brown or red?
brown: 4
red: 2
brown or red: 4 + 2
p(brown or red) = 6/14 = 3/7
50. The probability of passing an examination is 0.77. What is the probability of failing the examination? A. 0.33 0.77 B. 0.23 D. 0.72
Answer:
0.23
Step-by-step explanation:
If the probability of passing the examination is 0.77
Then the probability of failing the examination is 1 - 0.77 = 0.23
One of the legs of a right triangle measures 9 cm and the other leg measures 2 cm. Find the measure of the hypotenuse. If necessary, round to the nearest tenth.
Answer:
Approximately 9.2
Step-by-step explanation:
For right triangle, if you know 2 sides, you can find the third using pythagorean theorem, a^2 + b^2 = c^2. 'a' and 'b' are the lengths of the legs, while 'c' is the hypotenuse. You can plug in what you know into this formula:
9^2 + 2^2 = c^2
81+4 = c^2
c = √85, or approximately 9.2
Can someone help me please will Mark brainliest
Answer:
The answer that I got is C I hope I'm right
Answer:
An integerOAmalOHopeO
Combine and simplify these radicals. 160 40
I AM TIMED!!!
Answer:
200
hope it help
Answer:
160
Step-by-step explanation:
got it right
find the slope intercept form and the point slope (HELP)
- the line perpendicular to 4x-7y=2 going through (-6,1)
Answer:
1) slope intercept y= (-7/4)*x-19/2 2) point slope y-1= -7/4*(x+6)
Step-by-step explanation:
4x-7y=2
7y= 4x-2
y=(4/7)*x-2/7
To find the m2 (the number near x, it is called slope) for searched the slope intercept
use the formula for perpendicular lines
m1*m2=-1
m1= 4/7
m2= -1/ (4/7)= -7/4.
The slope intercept must look like y=m2*x+b
Use the coordinates of given point of the searched line (-6,1) and m2= -7/4.
1= (-7/4) *(-6) +b
b= -19/2
So slope intercept is y= (-7/4)*x-19/2
Point slope formula is y-y1= m2(x-x1) m2=-7/4. x1=-6 y1=1
y-1= -7/4(x+6)
Find the angle between the hands of a clock at 5:15
Answer:
67.5
Step-by-step explanation:
Answer:
the hour hand and minute hand on a 12-hour clock at 5:15. Again, the two angles created by the hour hand and minute hand at five-fifteen are 292.5 degrees and 67.5 degrees.
Step-by-step explanation:
Consider the function ƒ(x) = x2. Which of the following functions shifts ƒ(x) downward 5 units and to the right 3 units?
A)
ƒ(x) = (x – 5)2 – 3
B)
ƒ(x) = (x – 3)2 – 5
C)
ƒ(x) = (x + 3)2 – 5
D)
ƒ(x) = (x – 5)2 + 3
Answer:
B
Step-by-step explanation:
f(x)=(x+3)2 3 units to the left
f(x)=(x-3)2 3 units to the right
f(x)=(x)2+5 upward 5 units
f(x)=(x)2-5 downward 5 units
The set of whole numbers and their opposites are known as ?
100 divided by 3.2 Thank u
Answer:
31.25
Step-by-step explanation:
125/4
= 31.25
Find the length of the third side. If necessary, round to the nearest tenth.
20
28
Answer:
Submit Answer
attempt 1 out of 2
PLS HELP ASAP
Answer:
b = 19.6
Step-by-step explanation:
Since this is a right triangle, we can use the Pythagorean theorem
a^2+b^2 = c^2 where a and b are the legs and c is the hypotenuse
20^2+ b^2 = 28^2
400 + b^2 = 784
b^2 = 784-400
b^2 =384
Taking the square root of each side
sqrt( b^2) = sqrt(384)
b =19.59591794
To the nearest tenth
b = 19.6
Answer:
19.6
Step-by-step explanation:
It is a right triangle so use the pythagorean theorem; a^2 + b^2 = c^2
a=20
b=?
c=28 - c is the hypotenuse because it is across from the right angle
20^2 + b^2 = 28^2
400+ b^2 =784
b^2=384
b= 19.595917... or 19.6 (rounded to nearest tenth)
witch is equivalent to 3x+5+7x+2
1. 17
2. 15x+2
3.10x+7
4. 17x
Answer:
option 3
Step-by-step explanation:
Given
3x + 5 + 7x + 2 ← collect like terms
= (3x + 7x) + (5 + 2)
= 10x + 7 → option 3
According to the question
=3x + 5+7x + 2
Combining Like terms
= (3x + 7x) +(5+2)
= 12x + 7
Therefore the correct option is third
10x + 7
Answered by Gauthmath must click thanks and mark brainliest
Which equation represents a proportional relationship between
x and y?
A: k/x = y
B: k - x = y
C: k + x = y
D: k * x = y
Answer:
D: k*x=y
Step-by-step explanation:
a proportional relationship is basically a linear equation (y=mx+b)
I NEED HELP QUICK PLEASE! D:
Jamie is taking the tests needed to join the math group. His scores were 89, 92, 94. What's the lowest score he can get on the fourth test and still have a 90 average?
It would have to be 85
Answer:
85
Step-by-step explanation:
(89+92+94+ x)/4>90
(275+x)/4>90
275+x>90
x> 85
16 + 28 = ___ ´ (4 + 7).
Answer:
Solution given:
16+28=44
(4+7)=11
Answer:
The solution is 4
Step-by-step explanation:
Step 1: Find the correct answer
I'm not really sure what you are asking but I will give it a shot.
16 + 28 = ___ (4 + 7)
44 = ___ (11)
44 / 11 = ___ (11) / 11
4 = ___
Answer: The solution is 4
Help ME PLS IM FAILING PYTHAGOREAN THEOREM I NEED HELP NOW
Answer:
3.9
Step-by-step explanation:
We can use the Pythagorean theorem
a^2 +b^2 =c^2 where a and b are the legs and c is the hypotenuse
7^2 + h^2 = 8^2
49 + h^2 = 64
h^2 = 64-49
h^2 = 15
Taking the square root of each side
sqrt(h^2) = sqrt(15)
h = 3.87298
To the nearest tenth
h = 3.9
