Answer:
32
Step-by-step explanation:
[tex]\log a=7\hspace{15px} \log b=10\hspace{15px} \log c=3\\\\ \log \dfrac{a^8c^2}{b^3}=8\log{a}+2\log{c}-3\log{b}=(8)(7)+(2)(3)-(3)(10)\\\\=56+6-30=\boxed{32}[/tex]
__
The applicable rules of logarithms are ...
log(ab/c) = log(a) +log(b) -log(c)
log(a^b) = b·log(a)
check whether x² +4x +4 is prefect spuare expression or not . if so factorise the expression
Answer:
It is a perfect square expression.
It factors to (x+2)^2
===========================================================
Explanation:
The general format for a perfect square is
(a+b)^2 = a^2 + 2ab + b^2
Which can be seen through the use of the FOIL rule.
Compare x^2+4x+4 with a^2+2ab+b^2, and we have these three equivalences:
x^2 = a^2 .... first terms4x = 2ab .... middle terms4 = b^2 .... last termsSince x^2 = a^2, we can apply the square root to both sides to get a = x. Similarly, 4 = b^2 leads to b = 2. We could get b = -2, but that would mean 2ab = 2x*(-2) = -4x instead of 4x. So we'll stick with b = 2 instead.
Because a = x and b = 2, we then can say:
(a+b)^2 = a^2 + 2ab + b^2
(x+2)^2 = x^2 + 2*x*2 + 2^2
(x+2)^2 = x^2 + 4x + 4
Showing that x^2+4x+4 factors to (x+2)^2.
Help I need to do that I don’t even know what it is I’ll
Give brianliest
Answer:
Step-by-step explanation:
1. f(x) = 5x² + 3x - 1
a. f(0) = 5·0² + 3·0 - 1 = -1
b. f(-1) = 5(-1)² + 3(-1) - 1 = 1
Do the same for f(2), f(√2), f(a+2), and f(a).
Then do the same thing for the next function.
2. f(x) = x/(1-x)
a. f(0) = 0/(1-0) = 0
Do the same for f(-1), f(2), f(√2), f(a+2), and f(a).
Write a quadratic equation ax²+ bx + C = 0, whose coefficients are a =-9, b = 0, c = -2
Please I really need your help for this
Let's write -9 where we see A:
-9x² + bx + c = 0Let's write 0 where we see B:
-9x² + 0.x + c = 0(Since B = 0, when it is multiplied by x, it becomes 0 again)
-9x² + c = 0Let's write -2 where we see C:
-9x² + -2 = 0Now we can move on to solving our equation:)
Let's put the known and the unknown on different sides:
(-2 goes to the opposite side positively)
-9x² = 2(it goes as a division because it is in the case of multiplying -9 across)
x² = 2/-9
I could not find the rest of it, but I did not want to delete it for trying very hard. Sorry. It felt like we should take the square root, but I couldn't find it, maybe this can help you a little bit.
Please do not report:(
I hope I got it right, I'm trying to improve my English a little :)
Greetings from Turkey:)#XBadeXThe quadratic equation ax²+ bx + C = 0, whose coefficients are a = -9, b = 0, c = -2 will be -9x² + -2 = 0
What is the equation?An equation is a statement that two expressions, which include variables and/or numbers, are equal. In essence, equations are questions, and efforts to systematically find solutions to these questions have been the driving forces behind the creation of mathematics.
It is given that,coefficients fore the equation,ax²+ bx + C = 0, is a =-9, b = 0, c = -2
We have to write a quadratic equation as,
Any equation of the form ax²+bx+c=0 where x is variable and a, b, and c are any real numbers where a ≠ 0 is called a quadratic equation.
ax² + bx + c = 0
-9x² + 0x + (-2) = 0
-9x² + -2 = 0
-9x² + -2 = 0
Thus, the quadratic equation ax²+ bx + C = 0, whose coefficients are a =-9, b = 0, c = -2 will be -9x² + -2 = 0
Learn more about the equation here,
https://brainly.com/question/10413253
#SPJ6
Find the volume of each figure. PLZZZ I NEED HELP ASAP!!!!!! :/
Lani opened a savings account with
$450. She saves $225 per month. Which
equation shows how many months, m,
Lani would have to save to have a total of
$1575 in her account?
A 1575=-450/225
B 1575 = 450m +225m
C 1575 = 450 +225m
D 1575 = 225 +450m
Answer:
The answer would be C
Step-by-step explanation:
I WILL GIVE BRAINLIST NEED HELP ASAP
Jeff stacked 4 identical
solid blocks, each with the dimensions shown below.
What is the volume of the stack of blocks Jeff made?
A
72 cubic inches
B
120 cubic inches
C
288 cubic inches
Answer:
288 Inches^3
Step-by-step explanation:
1 Box:-
V=L*W*H, V=6*4*3, V=72 inches^3
4 Box:-
1 Box=72, 72*4=288 inches^3
*I am not 100% sure if this is accurate or not.*
Answer:
The answer is C witch is 288 cubic inches
Step-by-step explanation:
if you muliply all the sides times 4 you would get 288
3x6x4x4=288
HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP
HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP
Answer:
7 seconds
Step-by-step explanation:
Hello There!
I had created a graph to make it easier to understand
So when y = 0 is when the ball is at the ground
when y = 0 x = 7 so it took about 7 seconds for the ball to hit the ground
Answer:
7
Step-by-step explanation:
PLEASE HELP! DUE TONIGHT
Solve x + 3 = - 10
A.x = -13
B. x = 13
C. x= 7
D. x = - 7
Answer:
The answer is A. x= -13
Step-by-step explanation:
The way that you solve it is change the positive 3 to negative and adding the negative 3 to negative 10.
8. By using coupons, Mary Jo is able to decrease the retail price of her groceries, g, by $125. you find the nroduct of the base and height and then divide by 2. Expression.
Answer:
is there more to it? if not i dont understand what they are asking.
Step-by-step explanation:
factor the trinomial
2x^2+10x+8
Answer:
x^2 + 5x + 4
Step-by-step explanation:
divide everything by 2
Answer:
2(x+4)(x+1)
Step-by-step explanation:
2x^2+10x+8
1. Take out the greatest common factor. Divide by 2
2(x^2+5x+4)
3. Replace 5x with 1x+4x
2(x^2+1x+4x+4)
4. Spilt the equation in half and factor.
2(x^2+1x) = 2(x(x+1) and 4x+4 = 4(x+1)
5. Combine the new terms
2(x+4)(x+1)
Find the volume of the sphere .
Answer:
1436.8cm³
Step-by-step explanation:
Formula :
[tex] \frac{4}{3} \times \pi \times r ^{3} [/tex]
[tex] \frac{4}{3} \times \pi \times 7^{3} [/tex]
=1436.75504cm³
to 1dp
=1436.8cm³
How many 1-foot-square border tiles would you need to surround a pool
that is 10 feet long and 5 feet wide? *
el tema es desigualdades con valor absoluto
Answer:
i need english
Step-by-step explanation:
Which point is located at (2, 3)?
A
B
C
D
Answer:
a
Step-by-step explanation:
Which graph represents the solution for the equation 3x + 2 = 5x?
**+
pls help. i need help doing this problem and have been going at it for the longest. this is algebra II.
N in the equation is the number of times it compounds in a year. Since it is compounded yearly n = 1.
A = 1000( 1+ 0.08/1)^(7x1)
A = 1000(1.08)^7
A = $1,713.82
They will have $1.713.82 after 7 years
PLEASE HELP DO SOON!!!
What is the length of CD?
What is the length of AB? Round answer to the nearest hundredth.
Answer:
CD=14AB=9.17Step-by-step explanation:
to understand thisyou need to know about:circlelet's solve:according to the question
DF×DG=CD×DEsubstitute the value of DF,DG, and DE:3×4=CD×2simplify multiplication:12=2CDsimplify substraction:2CD/2=12/2therefore CD=6SECOND QUESTION:
first find the measure of BE
6+2+612+214according to the question
AB²=BE×BCsquare both sides
[tex]\sqrt{AB^{2}}=\sqrt{BE\times BC}[/tex][tex]AB=\sqrt{BE\times BC}[/tex]substitute the values of BE and BC
[tex]AB = \sqrt{14 \times 6} [/tex]simplify multiplication:
[tex] \sqrt{84} [/tex]simplify redical:
9.17Six equal blocks have a total mass of b kg. What is the mass of each block?.
2) Select one of your sides.
Side: Nachos Price: 3.00
Your cost to make this side just became
cheaper. As a result, you are going to
decrease the price by $0.25. What is
the percent of change ?
Answer:
A company sells widgets. The amount of profit, y, made by the company, is related to
the selling price of each widget, x, by the given equation. Using this equation, find out
what price the widgets should be sold for, to the nearest cent, for the company to
make the maximum profit.
3032 + 13251 – 8569
Answer:
bad expression
Step-by-step explanation:
13251+3032−8569=7714
Which shows the correct solution of the equation a
1/2a + 2/3b=50, when b=30?
Answer:
c.) a = 60
explanation:
This is the only work that is correctly shown, if you are doing edg, hope it helps!
f(x)=4x-3, g(x)=10-x
Work out gf(x)?
Step-by-step explanation:
Given
f(x) = 4x - 3
g(x) = 10 - x
So Now
gf(x) = g( 4x - 3)
= 10 - 4x + 3
= 13 - 4x
Hope it will help :)❤
What is the greatest possible value for STATS in the cryptarithm shown here given that V = 1? [Different letters represent different digits, and no leading digit can equal 0.]
Captionless Image
Answer:
you didnt put the image but it might be 97879
what is -2/3 times -12. This questions is related to converting slope point form into slope intercept form.
Answer:
-2/3 times -12=8
Step-by-step explanation:
there are seven people and Luisa's family they have four loaves of cinnamon bread to share equally Luisa wants to know how much cinnamon bread she will get
Answer:
[tex]\frac{4}{7}[/tex] of a loave of bread per person
Step-by-step explanation:
Step 1: Convert words to expressions
Seven people in Luisa's Family = 7 people
Four loaves of cinnamon bread = 4 loaves
Step 2: Divide people from loaves
4 loaves / 7 people <- This means they are splitting 4 loaves of bread between 7 people
[tex]\frac{4}{7}[/tex] of a loave of bread per person
Answer: [tex]\frac{4}{7}[/tex] of a loave of bread per person
If you watched any or both of these movies, make a 5 sentence summary about it
(ill give brainly and 25 points) :)
Answer:
Disney The Jungle Book (the first one): Mowgli (played by Neel Sethi) is a young boy that was raised by a family of wolves. One day he has to leave his home when the fearsome tiger, named Shere Khan (voiced by Idris Elba) unleashes a powerful roar. With aid from a panther (voiced by Ben Kingsley) and a care-free bear (voiced by Bill Murray), Mowgli meets a ton of new jungle animals. A few of which include a slithery python and a friendly ape. Along his way, Mowgli learns valuable lessons about life in this movie full of fun and adventure.
The Jungle Book (the second one): This is a classic Walt Disney animation that is based on Rudyard Kipling's book. Mowgli is a young, abandoned child who was raised by wolves. One day his peaceful life is threatened by the evil tiger, named Shere Khan (voiced by George Sanders). Mowgli must leave his wolf family behind in order to return to the "man village." Throughout his quest he is not alone, aided by a panther named Bagheera, and later on, a carefree bear named Balloo, he traverses the jungle's many perils.
Step-by-step explanation:
Hope this helps :)
y= 2 over 3 x + 20 when x= 21
Answer:
y=1262 /63 or y=20 and 2/63
Step-by-step explanation:
plug 21 into the equation to get y=2/3(21)+20
Find the slope of the line that passes through each of the following pairs of points:
(-1,4) and (3,-8)
Answer:
-12/4
Step-by-step explanation:
Use the slope formula
y2-y1. -8-4
---------- ______ = -12/4
x2-x1. 3-(-1)
Dilate D(7,4) by a scale factor of k = 3
Answer: (21,12)
Step-by-step explanation:
(x - 12y = -4
( x - 9y = 7
9514 1404 393
Answer:
(x, y) = (40, 11/3)
Step-by-step explanation:
The variable x can be eliminated by subtracting the first equation from the second.
(x -9y) -(x -12y) = (7) -(-4)
3y = 11 . . . . . . .simpify
y = 11/3 . . . . . .divide by 3
x -9(11/3) = 7 . . . . substitute for y in the second equation
x = 40 . . . . . . . add 33
The solution is (x, y) = (40, 11/3).