Answer:
(A) and (B)
Step-by-step explanation:
The inverse property of Logarithms is
㏒a[tex](a^x)[/tex] = x or a^loga(x) = x
Using this property we check each option
(A) Log2(2^4) = 4 correct
(B) 2^log2(4) = 4 correct
(C) 2^log 4(2)[tex]\neq[/tex] 4 incorrect ( it equal to [tex]\sqrt{2}[/tex])
(D) log2(4^2) [tex]\neq[/tex] 2 incorrect ( it is equal to 4)
(E) 2^log4(4) [tex]\neq[/tex] 4 incorrect ( it is equal to 2)
F) 4^log2(4)[tex]\neq[/tex]4 incorrect ( it is equal to 16)
Write an equation in slope-intercept form for a line with m = 3 and includes the
point (0, 2).
Answer:
y=3x+2
Step-by-step explanation:
dont put 0 because it dont make sense
if you put 0 n the equation, you will not will get the right equation
2 The outside temperature is -3°F and falling at a rate of 2 degrees per hour. What will the temperature be in 5 hours?
Answer:
-13
Explanation:
I did the math lol
Select "Rational" or "Irrational" to classify each number
Answer:
rational
Step-by-step explanation:
I'm coochie man
Please help if you can Thank you so much!
Answer:
Answers in explanations, hope they're correct!
Step-by-step explanation:
12. You will be using 0 gallons of gas when traveling 0 miles.
13. 20 gallons
14. (2,6)
15. You will package 15 dozens of cupcakes after 5 hours
Answer:
12: 0 miles uses 0 gallons of gas
13: 20 gallons
14: (1,3)
15: it takes 5 hours to make 15 dozen cupcakes
Step-by-step explanation:
13) 4 gallons for every 100 so multiple by 5 for 500
what would the value of X be on this one?
Answer:
i think it's 51 because if you add 106 and 23 together it's 129 then 180-129= 51
Step-by-step explanation:
Joe pays $25.10 for 2.5 pounds of wall-paper. What is the price, in dollars and cents, per pound of wall paper?
Answer:
10.04
Step-by-step explanation:
25.10/2.5=10.04
Answer:
10.04
Step-by-step explanation:
All you do is divide 25.10 by 2.5, the total($25.10) by the amount(2.5) then that is where
25.10 divided by 2.5 comes from, therefore your answer is 10.04
Four friends do yardwork for their neighbors over the weekend, earning $\$15$, $\$20$, $\$25$, and $\$40$, respectively. They decide to split their earnings equally among themselves. In total how much will the friend who earned $\$40$ give to the others?
Answer:
$15
Step-by-step explanation:
Let A, B, C and D represent the four friends respectively.
Given the following data;
Amount earned by A = $15
Amount earned by B = $20
Amount earned by C = $25
Amount earned by D = $40
Total amount earned = 15 + 20 + 25 + 40
Total amount earned = $100
For an equal ration, each friend should be given;
Each earnings = total amount earned/number of friends
Substituting into the equation, we have;
Each earnings = 100/4
Each earnings = $25
Hence, for D with $40, would become;
D = $40 - $25
D = $15
Therefore, D would give A $10 and give B $5.
The last time Robert filled up his car with gas, he paid $24.50 for 7 gallons. This time, he needs 15 gallons. If the price is the same, how much will he pay?
Answer:
$52.50
Step-by-step explanation:
Set up the ratio:
[tex]\frac{24.50}{7}[/tex]
Simplify in order to find the cost per gallon.
The cost per gallon is $3.50 because 7 divided by 7 is one and 24.50 divided by seven is 3.5.
Now you have this left:
[tex]\frac{3.50}{1}[/tex]
Multiply the denominator by 15 since Robert needs 15 gallons.
Then, multiply the top by 15 because whatever you do to the denominator, you have to do to the top.
Now you have this left:
[tex]\frac{3.5}{1}[/tex] = [tex]\frac{52.50}{15}[/tex]
Therefore, Robert needs to pay $52.50 in order to recieve 15 gallons of gasoline.
can you please help me with these two questions thank u
Answer:
the answer to question 1 is 24 and the answer to number 2 is 1
Answer:
frist one is 24. second is 1
Step-by-step explanation:
Diego has $12 and begins saving $5 each week toward buying a new phone. At the same time that Diego begins saving, Lin has $84 and begins spending $3 per week on supplies for her art class. Is there a week when they have the same amount of money? How much do they have at that time?
After_______weeks both Diego and Lin will have_____dollars
Answer:
$72
Step-by-step explanation:
Answer:
After ten weeks both diego and lin will have 57 dollars
Step-by-step explanation:
PLEASE HELP ASAP
Write the slope-intercept form of an equation of the line that passes through the
given point and is perpendicular to the graph of the equation..
(-3, -2), y = x + 2 .
Answer:
y=-x-5
Step-by-step explanation:
please help me.
im dying
Answer:
19/37
Step-by-step explanation:
47/148 + 29/148 = 76/148 = 38/74 = 19/37
What is the inequality of this graph?
Answer: y < 3x -4
Step-by-step explanation:
We know two points of line: (0,-4) and (1,-1)
Therefore, we can find the slope: 3/1.
We know the y intercept.
Dashed line means the inequality is not apart of the region.
y < 3x-4
Jim stands on a dock that is 3 3/4 feet above the lake. He dives down 12 1/2 feet below the dock. What is Jims vertical location relative to the lake surface?
Given:
Jim stands on a dock that is [tex]3\dfrac{3}{4}[/tex] feet above the lake. He dives down [tex]12\dfrac{1}{2}[/tex] feet below the dock.
To find:
The Jims vertical location relative to the lake surface.
Solution:
We have,
Vertical location of dock relative to the lake surface [tex]=3\dfrac{3}{4}[/tex] feet
He dives down [tex]12\dfrac{1}{2}[/tex] feet below the dock. So,
Vertical location relative to the lake surface [tex]=3\dfrac{3}{4}-12\dfrac{1}{2}[/tex]
[tex]=\dfrac{3\times 4+3}{4}-\dfrac{12\times 2+1}{2}[/tex]
[tex]=\dfrac{12+3}{4}-\dfrac{24+1}{2}[/tex]
[tex]=\dfrac{15}{4}-\dfrac{25}{2}[/tex]
Taking LCM, we get
[tex]=\dfrac{15-50}{4}[/tex]
[tex]=\dfrac{-35}{4}[/tex]
[tex]=-8\dfrac{3}{4}[/tex]
Here, negative sign means Jim location is below the lake surface.
Therefore, Jim is [tex]8\dfrac{3}{4}[/tex] feet below the lake surface.
Answer:-8 3/4
Step-by-step explanation:
I just took the cahoot
The perimeter of an isosceles triangle is 15.6 cm. Find the lengths of its sides, if: The base is 3 cm smaller than a leg.
Answer:
The sides of the isosceles triangle are 3.2 cm, 6.2 cm and 6.2 cm
Step-by-step explanation:
The sides of an isosceles triangle are equal in length
Let the base be x cm
Since it is 3 cm smaller than a leg, the legs will be (x + 3) cm
To find the perimeter of a triangle, we add up the sides
x + x + 3 + x + 3 = 15.6
3x + 6 = 15.6
3x = 15.6 - 6
3x = 9.6
x = 9.6/3
x = 3.2 cm
So the base is 3 + 3.2 =6.2 cm
(b) A solid metal cone has radius 1.65 cm and slant height 4.70 cm.
Calculate the volume of the cone.
Answer:
13.4
Step-by-step explanation:
πr2h
3
Answer:
12.5
Step-by-step explanation:
use pythag to find perpendicular height
then from that your answer should be 4.40cm
Draw a graph of the line that goes through the points (-4, 7) and (0, 3)
What is the y-intercept and slope of the line you've drawn?
Answer:
y = -x + 3
Step-by-step explanation:
Use this formula to get the slope [tex]\frac{y2 - y1}{x2 - x1}[/tex]
PLUG IN
[tex]\frac{3 - 7}{0 - -4} \\\\\frac{-4}{4} \\[/tex]
-4/4 = -1
The slope is -1
To find the y- intercept plug your slope and one of your points in this y=mx+b
We will use (0,3)
3 = -1(0) + b (b represents y-intercept)
3 = b
The equation would look like this
y = -x + 3
Hope this helps ya!!
One year ago, Lindsey deposited $250 into a savings account. Her balance is now $253. Two years ago, Jenn deposited $250 into a savings account. Her balance is now $257.50. Which account has the greater simple interest rate? Explain.
This is due at 2
Jenn's account has the greater simple interest rate
Where A is the final amount after investment, P is the initial amount, r is the rate of interest and t is the time periods.
For Lindsey:
Lindsey simple interest was 1.2% annually
For Jenn:
Jenn simple interest was 1.5% annually
Therefore Jenn's account has the highest simple interest rate.
^^^^^^^^^^^^^^^^^^^^
"EamonnAdams1992"
Answer:
She has a higher interest rate
Step-by-step explanation:
Lindsay’s interest is $3 for one year. Using the formula for interest, I = prt, Lindsey’s money is earning at a rate of 1.2%. Jenn has earned $3.75 for one year. Her money is earning at a rate of 1.5%, which is a higher interest rate.
Sample answer on edge ;)
CAN SOMEONE PLEASE HELP! I WILL MARK BRIANLIEST
Answer:
yes is is proportional
x=ydivided by 3.5
Step-by-step explanation:
Answer: multiplying by 3.5
Step-by-step explanation: because if you divide 7 by 2 you will 3.5
you are playing a game you lose 4.8 points lose another 7.6 points and then win 2.5 points what is the overall change in your score?
Answer:
9.9
Step-by-step explanation:
Fists you have to choose a number, ex. 20. Then subtract 4.8 from 20 equalling 15.2, then subtract 7.2 from 15.2, which equals 7.6, then add 2.5 and get 10.1. When you have that final number you must subtract it from the starting number to find the change, 20 - 10.2 = 9.9
HELP PLS THIS IS A TEST QUESTION
Which linear inequality is represented by the graph?
y<1/2x+2
y>1/2x+2
y<1/3x+2
y>1/3x+2
Answer:
y<1/2+2
Step-by-step explanation:
Answer:
I think the answer is A because I learned about slope last year
Assignment
Yeshi is making Pork fing. He has only 300g of pork
So he have to adjust the ro recipe.
500g pork
150g tomatoes
100g butter
120ml water
45g green chilli
8og onion.
a How much of each of the other ingredients
should he use to make pork fing
Answer / Step-by-step explanation:
500g - 300g = 200 {200 ÷ 500 = 0.4} ---- 300g pork
0.4 × 150g = 60g tomatoes
0.4 × 100g = 40g butter
0.4 × 120ml = 48ml water
0.4 × 45g = 18g green chilli
0.4 × 8og = 3.2og onion
Solve the system of equations below.
y=3x
2x + y = 15
Answer:
x=3
Step-by-step explanation:
2x+(3x)=15
5x=15
x=3
solving for y:
3(3)=9
y=9
Answer:
(y,x) (9,3)
Step-by-step explanation
WHICH ONE DO I PICK?
fp(x)=x2+2x-5 and g(x)=x-3, what is p(x) - 4(x)?
Answer:
1
Step-by-step explanation:
It's just 1
help please i need help.
Answer: y=4x-4? yall i love algebra but I was trying to find the intercept and the points diidtn mathc up
Step-by-step explanation:
can anyone please help me
prove algebraically that n^2 -n is never an odd number when n>1
Answer:
See Below.
Step-by-step explanation:
We want to prove that:
[tex]n^2-n[/tex]
Is never an odd number when n>1.
We will have two cases. We can prove them for each case individually.
The Even Case: n is Even:
Let n be even. Then, we can rewrite n as:
[tex]n=2k[/tex]
Where k is any positive integer.
This is because twice of any integer is even, so n must be even.
Substitute this into our expression to acquire:
[tex]=(2k)^2-(2k)[/tex]
Square:
[tex]=4k^2-2k[/tex]
4 times anything is even. 2 times anything is also even. Therefore, our expression will stay even.
The Odd Case: n is Odd:
Let n be odd. Then we can rewrite n as:
[tex]n=2k-1[/tex]
Where k is any positive integer.
This is odd because twice of any number is even, but if subtracted by 1, it yields an odd number.
We will substitute this into our expression to acquire:
[tex]=(2k-1)^2-(2k-1)[/tex]
Square:
[tex]=(4k^2-4k+1)+(-2k+1)[/tex]
Simplify:
[tex]=4k^2-6k+2[/tex]
4 times anything is even. 6 times anything is even. And anything even added to 2 will still be even.
Therefore:
[tex]n^2-n[/tex]
Will never be an odd number when n>1.
Suppose that f(x)=3x+1....
Answer:
3
Step-by-step explanation:
f(x) = 3x+1
f(x+h) = 3(x+h)+1 = 3x+3h+1
f(x+h) - f(x)= 3x+3h+1-3x-1 = 3h
3h/h=3
) Al repartir laminas entre mis amigos, pude darle 5 a
cada uno y me sobran 2. Pero luego llegaron 2 amigos
más, por lo que las repartí de nuevo y pude darle
láminas a cada uno. ¿cuántos amigos había al principio y
cuántas láminas tenia?
Answer:
Había cinco amigos al principio y siete laminas en total. (Using google translate)
Step-by-step explanation:
pude darle 5 a cada = 5 amigos
5 a cada uno y me sobran 2 amigos más, por lo que las repartí de nuevo y pude darle = siete laminas