Answer:
y = -4
Step-by-step explanation:
Assuming the problem is [tex]8^{2y+4}=16^{y+1}[/tex], it would be nice if we could convert both sides of this equation to the same base; that way, we could compare the exponents directly in an equation of their own. Fortunately, 8 and 16 are both powers of 2 -- [tex]2^3[/tex] and [tex]2^4[/tex], we can rewrite the original equation by substituting those in:
[tex](2^3)^{2y+4}=(2^4)^{y+1}[/tex]
When you have an exponent raised to another exponent, you multiply those exponents together, so we can simplify our equation by distributing a 3 in the left exponent and a 4 in the right:
[tex]2^{3\cdot(2y+4)}=2^{4\cdot(y+1)}\\2^{3\cdot2y+3\cdot4}=2^{4\cdot y+4\cdot1}\\2^{6y+12}=2^{4y+4}[/tex]
With both of our bases the same, we can now simply compare their exponents directly to solve for y:
[tex]6y+12=4y+4\\2y=-8\\y=-4[/tex]
Someone please help ASAP will give brainliest
Answer:
jk(x) = -16x^2 -12x+10
Step-by-step explanation:
j(x) = -4x+2
k(x) = 5+4x
jk(x) = (-4x+2) (5+4x)
FOIL
-4x*5 +-4x*4x +2*5 +2*4x
Combine like terms
-20x-16x^2 +10+8x
-16x^2 -12x+10
jk(x) = -16x^2 -12x+10
PLEASE HELP ASAP!!! What is the exact volume of the cone?
40π cm³
803π cm³
1603π cm³
160π cm³
Answer:
Its the third choice.
Step-by-step explanation:
V = 1/3 pi r^2 h
= 1/3 pi 4^2 * 10
= (160/3) pi cm^3.
Answer:
third one:)
Step-by-step explanation:
i took the k12 test
X intercept
Of v^2 +5v+6=0
Answer:
x-intercepts:x = -2 and x = -3 ⇒ (-2, 0) and (-3, 0).Step-by-step explanation:
[tex]f(v)=v^2+5v+6\\\\\text{The x-intercept is for y = 0.}\\\\v^2+5v+6=0\\\\v^2+2v+3v+6=0\\\\v(v+2)+3(v+2)=0\\\\(v+2)(v+3)=0\iff v+2=0\ \vee\ v+3=0\\\\v+2=0\qquad\text{subtract 2 from both sides}\\v=-2\\\\v+3=0\qquad\text{subtract 3 from both sides}\\v=-3[/tex]
Help here’s a few examples!!
QUESTION 1
The given expression is
2+8
The greatest common factor of 2 and 8 is 2.
We can rewrite as: [tex]2+8=2\times1+2\times4[/tex]
Factor to get: [tex]2+8=2(1+4)[/tex]
QUESTION 2
Given: 9-3
Greatest common factor of 9 and 3 is 3.
Rewrite as: [tex]9-3=3\times3-3\times1[/tex]
Factor: [tex]9-3=3(3-1)[/tex]
QUESTION 3
Given: 30+25
Greatest common factor of 30 and 25 is 5.
Rewrite as: [tex]30+25=5\times6+5\times4[/tex]
Factor: [tex]30+25=5(6+4))[/tex]
QUESTION 4.
Given: 35-14
The greatest common factor of 35 and 14 is 7.
Rewrite as: [tex]35-14=5\times7-2\times7[/tex]
Factor: [tex]35-14=7(5-2)[/tex]
QUESTION 5
The given expression is 81-18.
The greatest common factor of 81 and 18 is 9.
Rewrite as: [tex]81-18=9\times9-9\times2[/tex]
Factor: [tex]81-18=9(9-2)[/tex]
QUESTION 6
Given: 60+100
The greatest common factor of 60 and 100 is 20.
Rewrite as : [tex]60+100=20\times3+20\times5[/tex]
Factor: [tex]60+100=20(3+5)[/tex]
QUESTION 7
Given: 28-20
The greatest common factor of 28 and 20 is 4.
Rewrite as: [tex]28-20=4\times7-4\times5[/tex]
Factor: [tex]28-20=4(7-5)[/tex]
QUESTION 8
Given: 72+48
The greatest common factor of 72 and 48 is 24.
Rewrite as: [tex]72+48=24\times3+24\times2[/tex]
Factor: [tex]72+48=24(3+2)[/tex]
QUESTION 9
The given expression is [tex]12x+18[/tex].
The greatest common factor of [tex]12x[/tex] and 18 is 6.
Rewrite as; [tex]12x+18=6\times2x+6\times3[/tex]
Factor; [tex]12x+18=6(2x+3)[/tex]
QUESTION 10
Given: [tex]4y+10[/tex]
The greatest common factor of [tex]4y[/tex] and 10 is 2.
Rewrite the expression as; [tex]4y+10=2\times2y+2\times5[/tex]
Factor: [tex]4y+10=2(2y+5)[/tex]
Before an algebraic fraction is selected as a final answer what should you always check?
Answer:
a variable numerator
Step-by-step explanation:
Answer:
Before an algebraic fraction is selected as a final answer we check that the fractions are reduced with all common factors canceled.
Step-by-step explanation:
Before an algebraic fraction is selected as a final answer, we check that the answer is in the form of p/q, where q≠0 and HCF(p,q)=1.
Let a algebraic equation is
[tex]4x+4=18[/tex]
Subtract 4 from both sides.
[tex]4x=14[/tex]
Divide both sides by 4.
[tex]x=\frac{14}{4}[/tex]
Now cancel out the common factors.
[tex]x=\frac{7}{2}[/tex]
The final answer in algebraic fraction is 7/2.
Therefore, before an algebraic fraction is selected as a final answer we check that the fractions are reduced with all common factors canceled.
What is the square root of 81?
Answer: 9 or -9 it can be both
Step-by-step explanation:
Answer:
9
Step-by-step explanation:
the square root is fundamentally just what two numbers multiply together to make the number within the square root
9 x 9 = 81
so 9 is the square root
also think of the root of the square
9^2 the root in this case is the nine and te answer is 81
One side of a square is 4x, what is the area of this square?
Answer:
16x^2
Step-by-step explanation:
To find the area of a square, we use the formula
A = s^2 where s is the side length
A = (4x)^2
A = 16x^2
♫ - - - - - - - - - - - - - - - ~Hello There!~ - - - - - - - - - - - - - - - ♫
➷ First, you need to find how to find the area.
length*width
Since all sides of a square are the same:
4x*4x
16x^2 is the area of the square.
✽
➶ Hope This Helps You!
➶ Good Luck (:
➶ Have A Great Day ^-^
↬ TROLLER (don't worry, I didn't troll you)
a certain shade of blue is made by mixing 1.5 quarts of blue paint with 5 quarts of white paint. If you need a total of 16.25 gallons of this shade of blue paint, how much of each color should you mix
we know the blue and white paints are on a 1.5 : 5 ratio, thus, if we have a total of 16.25 gallons of paint to be split along that ratio, we can simply divide 16.25 by (1.5+5) and distribute accordingly.
[tex]\bf \cfrac{blue}{white}\qquad \stackrel{ratio}{1.5:5}\qquad \cfrac{1.5}{5}~\hspace{5em}\cfrac{1.5\cdot \frac{16.25}{1.5+5}}{5\cdot \frac{16.25}{1.5+5}}\implies \cfrac{1.5\cdot \frac{16.25}{6.5}}{5\cdot \frac{16.25}{6.5}} \\\\\\ \cfrac{1.5\cdot 2.5}{5\cdot 2.5}\implies \cfrac{3.75}{12.5}\qquad \qquad \boxed{\stackrel{blue}{3.75}~:~\stackrel{white}{12.5}}[/tex]
To find out how much of each color to mix, set up a proportion and solve for x. You will need 3.75 gallons of blue paint and 12.5 gallons of white paint.
Explanation:To find out how much of each color to mix, we can set up a proportion.
Let's say x represents the amount of blue paint needed, and y represents the amount of white paint needed.
We can set up the following equation:
1.5 quarts / 5 quarts = x gallons / (16.25 - x) gallons
Cross multiplying gives us:
5x = 1.5(16.25 - x)
Simplifying the equation gives us:
5x = 24.375 - 1.5x
Combining like terms gives us:
6.5x = 24.375
Dividing both sides by 6.5 gives us:
x = 3.75
So, you will need 3.75 gallons of blue paint and 16.25 - 3.75 = 12.5 gallons of white paint.
Dan earned $300 in 3 days. How much money does Dan earn per day?
Answer:
100 $
Step-by-step explanation:
Hello
If
300 $ ----> 3 days
X -----------> 1 day
X = [300*1] / (3)
X = 100 $
Best regards
Solve. x2 + 10x = −24
➷ Add 24 to both sides:
x^2 + 10x + 24
Find two values that multiply to make 24 but add to make 10
As you will notice, this is 6 and 4
Now factorize it:
(x + 4)(x + 6)
The values of x would be the opposite of what is in the parenthesis
Therefore x = -4 or x = -6
✽➶ Hope This Helps You!
➶ Good Luck (:
➶ Have A Great Day ^-^
↬ ʜᴀɴɴᴀʜ ♡
Answer:
x= -6 x=-4
Step-by-step explanation:
x2 + 10x = −24
Add 24 to each side
x2 + 10x+24 = −24+24
x2 + 10x +24=0
Factor
(x+6) (x+4) = 0
Using the zero product property
x+6 = 0 x+4 = 0
x+6-6 = 0-6 x+4-4 =0-4
x= -6 x=-4
A 54-ounce bottle of fruit juice costs $6.by the unit rates rounded to the nearest cent
Answer:
The unit rate is 0.11 $/ounce
Step-by-step explanation:
we know that
To find the unit rates divide the total cost by the total volume
so
(6/54)=0.11 $/ounce
simplify (2r^3)^2
a. 2r^5
b. 2r^6
c. 4r^5
d. 4r^6
Answer:
The answer is D. 4r^6.
<3
-Callie
Step-by-step explanation:
Answer:
D. 4r^6.
Step-by-step explanation:
What values of x satisfy x 2 + 2 x = 24?
- 6, - 4
- 6, 4
6, - 4
6, 4
Answer:
x = -6 x=4
Step-by-step explanation:
x^ 2 + 2 x = 24
Subtract 24 from each side
x ^2 + 2 x-24 = 24-24
x^2 +2x -24 = 0
Factor
What 2 numbers multiply to -24 and add to 2
6*-4 = -24
6+-4 = -2
(x+6) (x-4) =0
Using the zero product property
x+6 =0 x -4=0
x+6-6=0-6 x-4+4=0+4
x = -6 x=4
8398 divide by 10 then by 100
Answer:
8.398
Step-by-step explanation:
If you are uncertain, you can do this with your calculator. However both numbers doing the dividing are powers of 10 so you can just move the decimal
8398 / 10 = 839.8 Move the decimal 1 place.
839.8/100 = 8.398 Move the decimal 2 places.
In both instances, move the decimal left.
what is the mean mode midean and rage of 78 86 88 79 88 88 95 92
Median: Order the numbers from least to greatest and look in the center for the median; if two numbers add together than divide by 2
78,79,86,88,88,88,92,95, so the median is 88 because when 2 numbers are the same, you can just take the shortcut and say it because you are going to get the same number
The mode is 88
The mean is 86.75
And the range is 17
Can I have brainliest if it is correct plz?
Answer:
This person below is correct. (i wrote this so you could mark them brainliest cus you need 2 answers to be able to mark) :)
have a great day
LMK ASAP 10 POINTS........
Answer:
20cm
Step-by-step explanation:
Answer:
The correct answer is option 2
45 cm
Step-by-step explanation:
It is given a circle with circumference C = 180 cm
To find the length of arc ABC
From the figure we can see that the central angle of arc ABC = 90°
Therefore the arc length = (90/360) * Circumference
Arc ABC = (90/360) * 180 = (1/4) * 180 = 45
Therefore arc length = 45 cm
The correct answer is option 2
David need 36 gallons of punch for a party and has two different cooler to carry I in the bigger cooler is 5 times as large as the smaller cooler how many gallons can each hold?
Small cooler can hold= 6 gallons
and big cooler can hold= 30 gallons
Step-by-step explanation:Let the numbers of gallons hold by a small cooler is: x gallons
and the number of gallons hold by a bigger cooler is: 5x gallons.
( Since it was given that:
The bigger cooler is 5 times as large as the smaller cooler )
Also the total number of gallons of punch for a party is: 36 gallons
Hence, we get:
x+5x=36
i.e. 6x=36
On dividing both side by 6 we get:
x=6
Hence, the number of gallons hold by small cooler is: 6 gallons
and number of gallons hold by big cooler is: 5×6=30 gallons
7+12+21+34 Please find the mean!
Answer:
Step-by-step explanation: once you add up all the numbers you get 74. To find the mean add up all the numbers, then divide by how many numbers there are. In other words it is the sum divided by the count. Once you divide, you will get 18.5 as the answer for the mean
Answer:
The answer is 18.5.
Step-by-step explanation:
First, we have to add them all.
7 + 12 + 21 + 34 = 74
Next, we divide the sum by how many numbers we added (we added four numbers).
74 / 4 = 18.5.
I hope this helped! :-D
Which of the following expressions are equivalent to (x + 0) + y + 0
Choose all answers that apply:
A. x + y
B. x + 0 + (y + 0)
C. None of the above
Answer:
X + Y and x+0+(y+0) are both correct
Step-by-step explanation:
Explanation is on the image
Option A, x + y and B. x + 0 + (y + 0)
(x + 0) + y + 0 is equivalent to.
equation is the relationship between variable and represented as is example of polynomial equation.
(x + 0) + y + 0
= x + 0 + (y + 0 )
= x + y
Thus both the option A. and B. is correct.
Learn more about equation here:
brainly.com/question/10413253
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Bonjour,
combien fait 87$ augmenté de 200% ?
Bonsoir,
Combien fait 87$ augmenté de 200% ?
87 $ x 200/100 = 174 $ d'augmentation,
174 + 87 = 261 $
Simplify (x-5)(x^2-2x-6)
Answer:
x^3 - 7x^2 + 4x + 30
Step-by-step explanation:
The equation is already simplified to its fullest if we're looking at factored form.
Otherwise, just multiply everything out using a punnett square.
Answer:
x^3 - 7x^2 + 4x + 30
Step-by-step explanation:
I just did this one hope this helps
what expression is equivalent to the number 28 19/100
Answer:
20 + 8 + 0.1 + 0.09
Step-by-step explanation:
Answer:
20 + 8 + 0.1 + 0.09
20 wholes +8 wholes =28 then...
.1 tenth+.09 hundereths=.19 add..
28+.19=. 28.19
v2=17
(round to the nearest tenth as needed.Use a comma to separate answers as needed.)
Put the answer into a calculator;
-√17 = -4.123105626
√17 = 4.123105626
Round to the nearest tenth by looking at the 2nd digit after the decimal point. If it is 5 or greater, round up, otherwise round down.
-√17 = 4.123105626
2 is less than 5, so we leave it as it is.
-√17 ≈ -4.12
√17 = 4.123105626
2 is less than 5, so we leave it as it is.
√17 = 4.12
v ≈ -4.12, 4.12
Single bottles are sold for $1.25. A six pack is sold for $7.20. A twelve pack is sold for $13.80 and a case of 24 bottles is sold for $26.40. When you are buying a case of 24, how much less do you pay per bottle than when buying a 12 pack. Show your answer.
Answer: 5 cents less
Step-by-step explanation:
The unit price for the 24 pack would be $1.10 and the unit price for the 12 pack would be $1.15.
Answer:
0.05
Step-by-step explanation:
3/5 divided by 1/4 as a word problem
Answer:
Step-by-step explanation:
12/5 is the answer.
There is a sale for soft drinks, so four stores are competing with each other. Which store offers the best buy? Store A : 12 pack for $3.00 Store B : 22 pack for $5:50 Store C : 18 pack for $4:75 Store D : 36 pack for $8:00
store a single drink cost $3/12 =25c
store b single drink cost $5.50/ 22 = 25c
store c single drink cost $4.75/18 = 26c
store d single drink cost $8/36 = 22c
hence store d offers the best buy
To determine the best buy among four stores selling soft drinks, compare the price per can or pack for each store. Store D offers the best buy with a cost of approximately $0.22 per can.
Explanation:To determine which store offers the best buy, we need to compare the prices per can or pack of each store.
Store A offers a 12 pack for $3.00, so each pack costs $3.00/12 = $0.25 per can.Store B offers a 22 pack for $5.50, so each pack costs $5.50/22 = $0.25 per can.Store C offers an 18 pack for $4.75, so each pack costs $4.75/18 ≈ $0.26 per can.Store D offers a 36 pack for $8.00, so each pack costs $8.00/36 ≈ $0.22 per can.Therefore, Store D offers the best buy with a cost of approximately $0.22 per can.
Learn more about comparing prices here:https://brainly.com/question/29763132
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2. What’s the answer to this question please!
Answer:
D.
Your doing it for a week..5 days, his cases are 12, but how many cases(c) does he need to sell minus his rent vs what his goal is.
What’s the square root of 108 a to the 7th power b to the 5th power
Answer:
Step-by-step explanation:
Factor all the factors making up the square root.
108: 2*2*3*3*3
a^7: a*a*a*a*a*a*a
b^5:b * b * b * b * b
The rule for taking a square root of this is
For every pair, you get to take one number outside the root sign and throw the other one away.
2*3*a * a * a* b * b√(3*a * b)
6a^3b^2 * √(3*a*b)
The values in the table represent a exponential function. What is the common difference of the associated geometric
Answer:
A) 4
Work is shown in attached sheet! :)
Answer:
Option A is correct
Common ratio = 4
Step-by-step explanation:
Common ratio(r) : In a geometric series, the common ratio is the ratio of a term to the previous term.
[tex]r = \frac{a_2}{a_1}=\frac{a_3}{a_2}= \frac{a_4}{a_3}=.....[/tex]
As per the statement:
The values in the table represent a exponential function.
Since, Geometric sequences and exponential functions are very closely related to each other.
At x= 1;
y = 9
At x = 2;
y = 36 and so on....
By definition we have;
[tex]r = \frac{36}{9} =\frac{144}{36}=......[/tex]
After solving we get;
r =4
Therefore, the common ratio of the associated geometric is, 4
help me please asap!
4 · x^4 · x^4 · y
4 x^8 y
In words: four times x to the eighth times y