Answer:
d=-4 and a=10
Step-by-step explanation:
The sum of a arithmetic sequence is given by (n/2)*(2a+(n-1)d). Comparing coefficients with the given Sn, we have; a-d/2=12 and d/2=-2, d=-4 and a=10.
The blueprints of a house have a scale factor of 30. If one side of the house measures 4 inches on the blueprint, how long is the actual side length (in feet)?
A. 7.5 feet
B.10 feet
C. 90 feet
D. 120 feet
If the scale factor is 30, then all you have to do is multiply each measurement by the scale factor. In this case, 4 · 30 = 120.
NEED HELP ASAP!!!! PLEASEEE
The first answer of the missing blank is 4/5.
The second answer of the missing blank is 2.
The third answer of the missing blank is 25.
*For all of these solutions, I will be using the common rules for logarithms.*
Solution for the first question:
Log9^4/5 must equal log9^4-log9^5, or it could also equal the more proper version, which is simplified: 2log9^2-log9^5.
Solution for the second question:
Log3^22 must equal log3^11+log3^2, if you break it down.
Solution for the third question:
Log9^25 must equal 2log9^5 because it will be like this when simplifying it:
log9^25=2log9^5
log9^5²=2log9^5
2log9^5=2log9^5
These are all of the step-by-step procedures for all three of these given questions. Anyways, I hope that this helped you!
Add 5/20 + 1/20. Simplify your answer.
Answer:
3/10
Step-by-step explanation:
1) 5/20+1/20= 6/20
2) Both 6 and 20 lowest number on dividing: 2
6 divide by 2= 3 20 divide by 2= 10
5/20+1/20
= 5+1/20
= 6/20
= 3/10
Consider the following.
3^5x − 1 = 7
(a) Find the exact solution of the exponential equation in terms of logarithms.
(b) Use a calculator to find an approximation to the solution rounded to six decimal places.
Answer:
Step-by-step explanation:
You've typed the equation incorrectly. 3^5x-1 = 3⁵x-1.
It needs to be typed as 3^(5x-1) = 7.
What integer is equal to 5!×2!?
Answer:
240
Step-by-step explanation:
! means factorial or to multiply by the previous number down to one so 5!=5*4*3*2*1=120 120*2=240.
f (-10) = ?
Evaluate piecewise functions
Answer:
f(- 10) = 150
Step-by-step explanation:
f(- 10) with t = - 10 corresponds to t ≤ - 10 with f(t) = t² - 5t , then
f(- 10) = (- 10)² - 5(- 10) = 100 + 50 = 150
for t=-10
f(t)=t²-5tSo
f(-10)
(-10)²-5(-10)100+50150Find the measure of ZJ, the smallest angle in a triangle
with sides measuring 11, 13, and 19. Round to the
nearest whole degree.
O 30°
O 34°
o 42°
O 47°
Which expressions are equivalent to 5 +(-3)(6x - 5) ?
Choose all answers that apply:
A 182 – 20
B 3.2 - 3
С None of the above
[tex]\\ \sf\longmapsto 5+(-3)(6x-5)[/tex]
[tex]\\ \sf\longmapsto 5-3(6x-5)[/tex]
[tex]\\ \sf\longmapsto 5-18x+15[/tex]
[tex]\\ \sf\longmapsto -18x+15+5[/tex]
[tex]\\ \sf \longmapsto -18x+20[/tex]
Option C is correct
None of the above
Answer:
18x + 20
Step-by-step explanation:
5 + (-3)(6x - 5)
Step 1. start by the parentheses (by multiplying (-3) by (6x - 5)
Answer: (-18x + 15)
Step 2. Add 5 to (-18x + 15)
Answer: (-18x + 20)
Thus, (-18x + 20) isn't a choice so None of the above
Answer the question you hopeless heathens
Monico recently hired a roofer to do some necessary work. On the final bill, Monico was charged a total of $605. The amount listed for parts was $285 and the rest of the bill was for labor. If the hourly rate for labor was $64, how many hours of labor was needed to complete the job?
(A) First write an equation you can use to answer this question. Use x as your variable. The equation is ___________________
(B) Solve your equation in part (A) to find the number of labor hours needed to do the job. Answer: The number of labor hours was ________________
Answer:
A) 64x + 285 = 605
B) 5 hours
Step-by-step explanation:
64x + 285 = 605
64x + 285-285 = 605 - 285
64x = 320
64x/64 = 320/64
x = 5
Double check
($605 Total - $285 parts) / $64 Hourly rate = Labor per hour
$320 Labor / $64 Hour = 5 hours
or 64x
The graph of y=x√ is translated 5 units to the left and 7 units up. What is the equation of the graph that results from this translation?
Answer:
[tex]y = \sqrt{x - 5} + 7[/tex]
Given the sequence 4, 8, 16, 32, 64, ..., find the explicit formula.
128Answer:
128
Step-by-step explanation:
vì 4+4=8
8+8=16
16+16=32
32+32=64
64+64=128
The median of a triangle divides it into two________.
The median of a triangle divides it into two equal triangles of equal areas.
Must click thanks and mark brainliest
The digits 0,1,2,3,4,5 and 6 are used to make 3 digit codes
In case where digits may be repeated, how many codes are numbers that are greater than 300 and exactly divisible by 5?
Answer:
345/5=69
Step-by-step explanation:
345/5=69
355/5=71
Question 1 plz show ALL STEPS
Answer:
1a= 10
Step-by-step explanation:
[tex]f(g(1) = 3( - 2(1) + 7) - 5[/tex]
[tex] = 3(5) - 5 [/tex]
[tex]15 - 5 = 10[/tex]
Answer:
Step-by-step explanation:
f(x) = 3x - 5
g(x) = - 2x + 7
(a). f(g(1)) = 10
g(1) = - 2(1) + 7 = 5
f(5) = 3(5) - 5 = 10
(b). f(g( - 4)) = 40
g( - 4) = - 2( - 4) + 7 = 15
f(15) = 3(15) - 5 = 40
(c). g(f( - 2)) = 29
f( - 2) = 3( - 2) - 5 = - 11
g( - 11) = - 2( - 11 ) + 7 = 29
(d). g(f(3)) = - 1
f(3) = 3(3) - 5 = 4
g(4) = - 2(4) + 7 = - 1
Given the function h(t) = 2t to the power of 2 + 9 evaluate h(5)
9514 1404 393
Answer:
59
Step-by-step explanation:
Put 5 where t is and do the arithmetic.
[tex]h(t)=2t^2+9\\\\h(5)=2\cdot5^2+9=2\cdot25+9\\\\\boxed{h(5)=59}[/tex]
Mr. Howe ate 1/3 of a pizza and then Mr. Kurt ate 1/8 of the same pizza. How
much of the pizza has been eaten? *
12/24
Step One: We need to convert 1/3 and 1/8 so both have the same denominator, so we need to find the a number that is able to be multiply by 3 and 8 for the process.
Step Two: 1/3 x 8= 8/24 and 1/8x3= 3/24
Step Three: Add our new fractions: 3/24+8/24= 12/24
Step Four: Subtract 12 by 24: 24-12= 12; our answer is 12/24 or half the pizza was eaten
I hope I've help!
Find the value of m.
L
R
A
3m +21 U
6m
O A. 14
ОВ. 7
Answer:
B
Step-by-step explanation:
Since LR=LA, RU=RA. 3m+21=6m, 3m=21, m=7
8.9 x 10^3 in standard notation
Answer:
that is n standard notation mah frand
8.9 × 10^3 being scientific notation of " 8900 "
[tex]\huge\text{Hey there!}[/tex]
[tex]\large\textsf{8.9}\times\large\textsf{10}^\mathsf{3}\\\\\mathsf{10^3}\\\mathsf{= 10\times10\times10}\\\mathsf{= 100\times10}\\\mathsf{= \bf 1,000}\\\\\large\textsf{8.9}\times\large\textsf{1,000}\\\\\large\textsf{= \bf 8,900}\\\\\\\boxed{\boxed{\huge\text{Answer: \boxed{\underline{\underline{\bf 8,900}}}}}}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
~[tex]\boxed{\huge\text{}\boxed{\frak{Amphitrite1040:)}}}[/tex]
1. In the past, Sam cashed his paycheck each month at Ready Cash, a check cashing service that
charges a 5% fee. He recently opened a checking account at Bank of America so he can now
deposit and/or cash his paycheck without a fee. If Sam is making $28,500 per year, how much will
he save by not going to Ready Cash anymore?
Step-by-step explanation:
28000 ÷ 100
=280
280 × 5
=1400
A cyclist rides her bike at a speed of 30 kilometers per hour. What is this speed in kilometers per minute? How many kilometers will the cyclist travel in 2
minutes? Do not round your answers.
Answer:
0.5 km/min and 1km
Step-by-step explanation:
30 km in an hour
30 km in 60 mins, 30/60 km in one minute so she cycle 0.5km/min. They will cover 1 km in 2 minutes
Which table represents a function?
GO
х
-3
0
-2
8
y
-1
0
-1
1
х
-5
0
-5
6
y
-5
0
5
-6
х
-4
-2
-2
0
у
8
2
4
2
х
-4
3
1
-4
у
2.
5
3
0
The table that represents a function in the options given is: Table A. (see image attached below).
Recall:
If a relation represents a function, the relation must have exactly one y-value assigned or related to each x-value.In the tables given, only the first table has exactly one y-value assigned or related to every x-value given.
Therefore, the table that represents a function in the options given is: Table A. (see image attached below).
Learn more about function table on:
https://brainly.com/question/3632175
Answer:
Graph A
Step-by-step explanation:
what number should be added to -5/8 to get -3/2
Answer:
-7/8
Step-by-step explanation:
-5/8+x=-3/2
x= -3/2+5/8=-12/8+5/8= -7/8
a polynomial p has zeros when x=1/5,x=-4, andx=2 what could be the equation of p?
Answer:
x^3 + (9/5)x^2 -(42/5)x + (8/5)
Step-by-step explanation:
since 1/5, -4, and 2 are all zeroes, (x-1/5)(x+4)(x-2) must be a factor of p. if you distribute the statement, you get
Exponents Properties Practice
Write an equation to model the situation and answer the question. Include units when applicable.
In a much happier economy, Mr. Demo earns 5% monthly interest on his savings. After a $300 withdrawal, he notices he has $2021 in his account. He has collected interest for 3 months. What amount did he start with?
we can use this equation to solve:
[tex]a = p(1 + \frac{r}{n} ) ^{nt} [/tex]
a = final amount
p = initial amount
r = percentage increment (in decimal form)
n = amount of time interest is compounded
t= time (in years)
Since the guy w withdrew $300 and saw that his account still has $2021 left, he must have had $2321 in total.
5% interest is .05 in decimal form
since the account is compounded monthly, n=12
Because the account has been collecting interest for 3 months and t is supposed to be in years, dividing 3 by 12 will yield 1/4, or . 25
How many two-digit numbers are there which are multiples of both 2 and 7?
2 digits number = 10-99
Lets find the multiples of 2 and 7 both
Which are = 14, 28,42,56,70,84,98
Therefore there are 7 two digit multiples of both 2 and 7
Must click thanks and mark brainliest
9514 1404 393
Answer:
7
Step-by-step explanation:
Those numbers are 14, 28, 42, 56, 70, 84, 98. There are 7 numbers that are multiples of 2 and 7 (multiples of 14).
Find the least common multiple of 14 and 22.
What is the value of x?
Enter your answer in the box.
__units.
Please help click the picture to see the problem!
Using basic proportionality theorem
[tex]\\ \sf\longmapsto \dfrac{x}{10}=\dfrac{42}{15}[/tex]
[tex]\\ \sf\longmapsto 15x=42(10)[/tex]
[tex]\\ \sf\longmapsto 15x=420[/tex]
[tex]\\ \sf\longmapsto x=\dfrac{420}{15}[/tex]
[tex]\\ \sf\longmapsto x=28[/tex]
Find the remainder when f(x)= 8x^3+ 4x^2
13x + 3 is divided by 2x + 5.
Answer:
-129
Step-by-step explanation:
2x+5=0
x=-5/2 [By the remainder theorem]
f(-5/2)=8(-5/2)^3+4(-5/2)^2+13(-5/2)+3
=-125+25-65/2+3
=-129.
Adding integers what is (-9)+5
Answer:
-9 + 5 = -4
I hope you understand and you don't need an explanation
You are installing new carpeting in a family room. The room is rectangular with dimensions 2012feet × 1318feet. You intend to install baseboards around the entire perimeter of the room except for a 312-foot opening into the kitchen. How many linear feet of board must you purchase?
Answer:6348feet
Step-by-step explanation:
