Answer:
log₃(243) = x
Step-by-step explanation:
3^x = 243
Rule: a^x = b -> logₐ(b) = x
log₃(243) = x
The 15th term of an arithmetic sequence is 21 and the common difference is -4.
(a) Find the first term of the sequence.
(b) Find the 29th term of the sequence.
(c) Find the sum of the first 40 terms of the sequence.
Answer:
a. Firat term of the sequence= 77
b. 29th term of the sequence= -35
c. Sum of the first 40 terms of the sequence= -40
Step-by-step explanation:
The first term of the sequence is 77, the 29th term of the sequence is -35 and the sum of the first 40 terms of the sequence is -40.
Given that, [tex]a_{15} =21[/tex] and d=-4.
What is the nth term of the arithmetic sequence?The nth term of the arithmetic sequence is [tex]a_{n} =a+(n-1)d[/tex].
To find the first term of the sequence:
[tex]a_{15}[/tex]=a+(15-1)(-4)
⇒21=a+(15-1)(-4)
⇒a=77
To find the 29th term of the sequence:
[tex]a_{29}[/tex]=77+(29-1)(-4)=-35
To find the sum of the first 40 terms of the sequence:
The first n terms of a sequence [tex]=\frac{n}{2}[2a+(n-1)d)][/tex]
[tex]S_{40} =\frac{40}{2}[2 \times77+(40-1)(-4))][/tex]
=20(154-156)=-40
Therefore, the first term of the sequence is 77, the 29th term of the sequence is -35 and the sum of the first 40 terms of the sequence is -40.
To learn more about the arithmetic sequence visit:
https://brainly.com/question/15412619.
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Paige is ⅕ her mother's age. If the sum of their ages us 30, how old is Paige?
Answer:
I think it's 6 but im not sure
hope this helps
have a good day :)
Step-by-step explanation:
Si un rombo tiene un lado con medida de 16 pulgadas. Cual es su perimetro . If a rhombus has a side measured 16 inches. What is its perimeter.
Answer:
64 inches or 64 pulgadas
Step-by-step explanation:
The formula for the perimeter of a rhombus is given as:
P = 4a
Where a = side length of the rhombus
From the above question, side length of the rhombus = 16 inches
Hence, Perimeter of the rhombus = 4 × 16 inches
= 64 inches
La fórmula para el perímetro de un rombo se da como:
P = 4a
Donde a = longitud del lado del rombo
De la pregunta anterior, la longitud del lado del rombo = 16 pulgadas
Por lo tanto, perímetro del rombo = 4 × 16 pulgadas
= 64 pulgadas
Someone help and plz make sure it’s RIGHT NO FLIES/LINKS/WEBSITES PLZ and will mark brainiest
Answer:
I'm pretty sure it's 18 degrees
Step-by-step explanation:
PLS ANSWER I WILL MAKE YOU BRAINLIEST
A surveyor is standing 118 feet from the base of the Washington Monument. The surveyor measures the angle of elevation from the ground to the top of the monument to be 78°.
Find the height h of the Washington Monument to the nearest foot.
Answer:
555.1 ft
Step-by-step explanation:
N = 16 - (3 + 2) I dont know what this is.
Answer:N=11
Step-by-step explanation: 16-5 is 11, and that is equal to N
Keisha's teacher gives her the following information:
• m, n, p, and q are all integers and p = 0 and q +0
• A= and B=;
What conclusion can Keisha make?
Answer: b
Step-by-step explanation: b
What is the inverse of f(x)=3x^2
Answer:
f^-1 (x)=sqrt(x/3), -sqrt(x/3).
Step-by-step explanation:
f(x)=3x^2
y=3x^2
x=3y^2
y^2=x/3
y=sqrt(x/3), -sqrt(x/3).
Answer:
[tex]y=3x^2[/tex]
[tex]y=3x^2[/tex]
Step-by-step explanation:
There is no step-by-step explanation because it's a graph. Well, it's how I did it. Therefore, the graph in the picture that I'm about to post will be your answer.
Create a number line. Plot the following numbers on the number line: 5, -10, 20, -5, 0, 10, -20
50 points precalc math, please please help me I haven't been able to solve this in 2 days. I've looked everywhere and asked so many ppl to no avail :'(
Answer:
2
Step-by-step explanation:
this answer is right you can see hear
Answer:
The correct answer is z=2 I did the math sorry if it is not correct!
ILL MARK BRAINIEST IF YOU DO ONLY NUMBER 8 DO NOT DO 7!!!!
Answer and Step-by-step explanation:
8. We want to solve for a of the trapezoid area formula.
A = [tex]\frac{h}{2} (a + b)[/tex]
First off, we need to multiply both sides by [tex]\frac{2}{h}[/tex] to cancel out the [tex]\frac{h}{2}[/tex].
[tex]\frac{2A}{h}[/tex] = a + b
Now, we need to subtract b from both sides.
[tex]\frac{2A - b}{h}[/tex] = a
We get the answer to be:
I. a = [tex]\frac{2A - b}{h}[/tex]
#teamtrees #PAW (Plant And Water)
What is the measure of
Angles are not necessarily drawn to scale,
A
B
С
73
x O
Answer:
17°
Step-by-step explanation:
m∠x=90-73=17° (∠AOC is right angle)
calculate the difference between the two times.
8: 15 am. or pm
3: 30 am or pm.
Answer:
5:15 pm is the answer for the question
What is this? 10 points !
Answer:
x= 114
Step-by-step explanation:
correspnding angles are equal.
I hope im right! :)
Multiply (4x+2)(2x+6)
What is the middle term of the simplified answer?
Answer:
28x
Step-by-step explanation:
Use foil to get
8x^2 +28x+12
middle term is 28x
What is the solution set to the equation 4x2 – 16 = 0?
Answer:
2
Step-by-step explanation:
add 16 to zero
4x2=16
Divide 4x by 2 and 16 by two
4x=8
divide 8 by 4
x=2
Answer:
x = ± 2
Step-by-step explanation:
Given
4x² - 16 = 0 ( add 16 to both sides )
4x² = 16 ( divide both sides by 4 )
x² = 4 ( take the square root of both sides )
x = ± [tex]\sqrt{4}[/tex] = ± 2
solutions are x = - 2, x = 2
whats 8 over x-2 =24 over 7 in solving proportions NO LINKS
Answer:
[tex]x=\frac{1}{3}[/tex]
Step-by-step explanation:
[tex]\frac{8}{x-2} =\frac{24}{7}[/tex]
[tex]x=\frac{1}{3}[/tex]
What is the approximate volume of the cylinder? Use 3.14 for
Step-by-step explanation:
it's 452.16 because it's the closest estimate
simplify………………………. look at the picture for the question thanks
Answer:
C) 2y^6/x^8
Step-by-step explanation:
Mathtype won't work on here, sorry.
Hope this helped! :)
does anyone mind helping me with this please?
The expression w4 - 36 is equivalent to
A (W2 – 18)(w2 – 18)
B (w2 + 18)(w2 – 18)
C (w2 - 6)(w2 – 6)
D (w2 + 6)(w2 – 6)
The equivalent expression of [tex]w^{4} -36[/tex] is [tex](w^{2} -6)(w^{2} +6)[/tex].
What is equivalent expression?Equivalent expressions are expressions that work the same even though they look different.
According to the given question.
we have an expression [tex]w^{4} -36[/tex]
The equivalent expression of the above expression can be given by
[tex]w^{4} -36[/tex]
⇒ [tex](w^{2}) ^{2} -(6)^{2}[/tex]
⇒[tex](w^{2}-6)(w^{2} +6)[/tex] (by using the property [tex]a^{2} -b^{2} = (a-b)(a+b)[/tex] )
Hence, the equivalent expression of [tex]w^{4} -36[/tex] is [tex](w^{2} -6)(w^{2} +6)[/tex].
Thus, option D is correct.
Find out more information about equivalent expression here:
https://brainly.com/question/27733205
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Which point has coordinates (-2, 3)?
Answer: I need a picture to go along with it because I see nothing.
Step-by-step explanation:
does the point (4,-2) lie on the circle with a center at (4,0) and a radius of 2?
Answer:
Yes
Step-by-step explanation:
It lies on the circle because the radius is 2 and the point goes down two units just like the radius
Answer:
yes
Step-by-step explanation:
the radius extends out 2 points throughout the entire circle therefore -2 will be reached as it is 2 units below the center of (4, 0)
Please help me with this question
Answer:
B) 61° + 24° =
Step-by-step explanation:
This is geometry btw Find the volume of the figure
Answer:1407.4 rounded to nearest tenth
Step-by-step explanation:
Janet walks 950 metres every day. Determine what distance would Janet walk in an entire week. Express your answer in kilometres. (Remember to show your work
Answer:
6.65 kilometers
Step-by-step explanation:
950 * 7 days a week = 6650 meters
6650 meters / 1000 (conversion to kilometers) = 6.65 kilometers
Answer:
6.65 km
Step-by-step explanation:
Let's solve this in a set of fraction forms. Since 1 day is 950 meters, 1 week will be converted to days to be on equal grounds. 1 week = 7 days. Therefore, let us set up a fraction; Let "x" be the variable
[tex]\frac{950}{1}=\frac{x}{7}[/tex]
Step 1: Switch sides
[tex]\frac{x}{7}=\frac{950}{1}[/tex]
Step 2: Apply rule [tex]\frac{a}{1}=a[/tex]
[tex]\frac{x}{7}=950[/tex]
Step 3: Multiply both sides by 7
[tex]\frac{7x}{7}=950\cdot \:7[/tex]
Step 4: Simplify
[tex]x=6650[/tex]
Expressed: [tex]\frac{6650 meters}{1000}[/tex] (convertion to kilometers) = 6.65 kilometers
Therefore, Janet would walk 6.65 km in an entire week
what is the CORRECT answer?
Answer:
bro use the dang fromula
Step-by-step explanation:
L*W=A divided by 2
Can someone pleaseeee help and if you’re correct i’ll give brainliest
Answer:
Rows: 3+3+3+3=12
Columns: 4+4+4=12
PLEASE HELP....ITS DUE TOMORROW !!!!
Answer:
Aired
Step-by-step explanation:
Factorise fully
-X – 10
Pls help
Answer:
-X – 10=-1(x+10) is your answer