Answer:
[tex]\huge \boxed{\mathrm{D. \ 22}}[/tex]
Step-by-step explanation:
[tex]\mathrm{log_4 (x)=12}[/tex]
Make the base 4 from both sides.
[tex]\mathrm{4^{log_4 (x)}=4^{12}}[/tex]
Simplify the equation.
[tex]\mathrm{x=16777216}[/tex]
[tex]\mathrm{log_2 (\frac{x}{4} )}[/tex]
Let x = 16777216
[tex]\mathrm{log_2 (\frac{16777216}{4} )}[/tex]
[tex]\mathrm{log_2 (4194304)}[/tex]
Evaluate.
[tex]22[/tex]
Answer:
[tex]log_2(\frac{x}{4} )=22[/tex]
which is your answer "D"
Step-by-step explanation:
If [tex]log_4(x)=12[/tex] this means that : [tex]x=4^{12}[/tex] based in the definition of logarithm.
And this exponential expression can also be written using that [tex]4=2^2[/tex]:
[tex]x=4^{12}=(2^2)^{12}=2^{24}[/tex]
so now we know what x is with base 2 (which is needed for the second expression:
[tex]log_2(\frac{x}{4} )=?[/tex]
And this also can be written in exponent form (using the unknown "?" we need to find) as:
[tex]2^?=\frac{x}{4} \\x=4\,*\,2^?\\x=2^2\,*\,2^?\\x=2^{2+?}[/tex]
Since we know the value of x in base 2 (from our first analysis), then:
[tex]x=2^{2+?}=2^{24}\\then\\2+?=24\\?=22[/tex]
Therefore,
[tex]log_2(\frac{x}{4} )=22[/tex]
what fraction is equivlant to 2/6
Answer:
1/3
Step-by-step explanation:
The simplest form of 2/6 is 1/3. You can do 2/6*.5/.5 to get 1/3
You can do other fractions such as 4/12, 8/24, as long as it the numerator maintains a ratio of 1:3
The dot plots below show the scores for a group of students for two rounds of a quiz: Which of the following inferences can be made using the dot plots? The range of round 2 is greater than the round 1 range. Round 2 scores are higher than round 1 scores. Round 1 scores are lower than round 2 scores. There is no overlap between the data.
===================================================
Explanation:
Choice A is true. The range is the difference of the max and min. Round 1 has a range of 5-4 = 1, while round 2's range is 5-1 = 4. Round 2 has a larger range of scores. We don't really need to do any kind of math here. We can simply spot that round 2 has its dots more spread out compared to round 1, so round 2 must have the larger range.Choice B is somewhat true. If we compare a score of 4 in round 1 to a score of 5 in round 2, then round 2 has a higher score. But we could easily flip things around. So saying one round has higher scores than the other is not particularly meaningful in this scenario. I would say it all depends on how you phrase the problem carefully. In any event, I would say that choice B is false since we can't definitively say it's true.Choice C is a similar story as choice B, just flip things around. So I'd say this is false too. We would need all of the dots of round 1 to be to the left of all the dots of round 2, in order for choice C to be a true statement. Because there's overlap, we run into a problem. Choice D is false because there is overlap for scores 4 and 5. In other words, both dot plots have dots over "4" and over "5". These are the scores the dot plots share in common.Which of the following statements contains a quotient?
A. 7 + 6 = 13
B. 7 - 6 = 1
C. 42 : 6 = 7
D. 7 x6 = 42
Answer:
C is a quotient
Step-by-step explanation:
quotient it the number you get from equally dividing a number
Two students were asked to use estimation strategies to find a reasonable solution to this question: Darrell has $1,990 saved and wants to buy a motorcycle. He earns $10 per hour and he works for 39 hours. Estimate how much money, Darrell has left after buying a $2,200 motorcycle. From the choices below, select the student with a more reasonable solution.
Answer:
1990+(10h)-2200
or
1990+(10x39)-2200
Step-by-step explanation:
he already has 1990
He earns $10 per hour
he works for 39 hours
$2,200 needed for a motorcycle
1990+(10h)-2200
or
1990+(10x39)-2200
What is -2x + 5x + 4s
evaluate given: x=2 & y=6 8-4x+5y
Answer:
30
Step-by-step explanation:
We are given the expression:
[tex]8-4x+5y[/tex]
and asked to evaluate given x=2 and y=6.
Therefore, we must substitute 2 for x and 6 for y.
[tex]8-4(2)+5(6)[/tex]
Solve according to PEMDAS: Parentheses, Exponents, Multiplication, Division, Addition, and Subtraction.
Multiply 4 and 2.
4*2= 8
[tex]8-8+5(6)[/tex]
Multiply 5 and 6.
5*6=30
[tex]8-8+30[/tex]
Subtract 8 from 8.
8-8=0
[tex]0+30[/tex]
Add 0 and 30.
[tex]30[/tex]
The expression 8-4x+5y when evaluated at x=2 and y=6 is equal to 30.
kevin has 70 cents in his pocket. one coin is a quarter, and the others are nickels. how many nickels does he have?
Answer:
Step-by-step explanation:
25 +5+5+5+5+5+5+5+5+5=70
Answer: 9nickels
A football field measures 300 feet in length. It can also be expressed as approximately 5.7 times 10 Superscript n miles. If there are 5,280 feet in 1 mile, which is the most reasonable value of n? Negative 3 Negative 2 2 3
Answer:
-2
Step-by-step explanation:
300 ft * (1 mile)/(5280 ft) = 0.057 miles = 5.7 * 10^-2 miles
Answer:
The answer is b
Step-by-step explanation:
How many solutions does the system have?
Answer:
Infinitely many solutions.
You basically have just one equation.
The top equation is the bottom equation times 5.
Step-by-step explanation:
Answer: C. Infinite many solution
Step-by-step explanation:
#1 simplify the first equation: 20x-5y=5
since the GCF in it is 5, we factor out 5
4x-y=1
#2 compare the first and the second equation
[tex]\left \{ {{4x-y=1} \atop {4x-y=1}} \right.[/tex]
we can see that both equation are same, which means they present the same line.
Thus, they overlap and they have infinite many solution
six times the difference of x and 22
Answer:
6(x-22) or 6x-132
Step-by-step explanation:
translate into english : it says 6 times difference of x and 22, so you would need to do the subtraction first before you multiply by 6 which you get 6(x-22)!
Answer:
-4
Step-by-step explanation:
6*x-22
keep 6x on the LHS and -22 on the RHS
leave x in LHS and divide -22 with 6 on the RHS
the answer will come -4
x sqrt 5xy^4 + sqrt 405x^3y^4-sqrt 80x^3y^4
Answer:
the three terms can be combined and reduce to:
[tex]6\,x\,y^2\,\sqrt{5\,x}[/tex]
Step-by-step explanation:
Start by extracting all perfect square factors from the square root in order to simplify the terms:
First term: [tex]x\,\sqrt{5\,x\,y^4}=x\,y^2\,\sqrt{5\,x}[/tex]
Second term: [tex]\sqrt{405\,x^3\,y^4} =\sqrt{3^4\,\,5\,\,x^2\,\,x\,y^2\,y^2} =9\,x\,y^2\,\sqrt{5\,x}[/tex]
Third term: [tex]-\sqrt{80\,x^3\,y^4} =-\sqrt{2^4\,\,5\,x\,x^2\,y^2\,y^2} =-4\,x\,y^2\,\sqrt{5\,x}[/tex]
Notice that all of the terms are like terms (contain the same radical part and variable part) so they can be combined:
[tex]\,x\,y^2\,\sqrt{5\,x}+9\,x\,y^2\,\sqrt{5\,x}-4\,x\,y^2\,\sqrt{5\,x}= 6\,x\,y^2\,\sqrt{5\,x}[/tex]
Answer: b on edge2021 6xy^2sqrt 5x
Step-by-step explanation: its on edge and yeah...like me up pls and thank you!
b. Simplify (1-3) (⅓+√3), leaving your answer in the form P+Q√3
Answer:
6
Step-by-step explanation:
URGENT!!!!! In a class of students, the following data table summarizes how many students have a
brother or a sister. What is the probability that a student chosen randomly from the
class does not have a sister?
Has a brother 5
Does not have a brother 2
Has a sister 12
Does not have a sister 11
Answer:
i think its 0.43 but im not sure i hope this helps
Step-by-step explanation:
Answer:13/29
Step-by-step explanation:
\text{Fill out totals:}
Fill out totals:
Has a brother Does not have a brother Total
Has a sister 7 14 21
Does not have a sister 6 2 8
Total 13 16 29
\text{Number of students with a brother: 13}
Number of students with a brother: 13
\text{Number of students in the class: 29}
Number of students in the class: 29
\text{Probability: }\frac{13}{29}
Probability:
29
13
Find the least number which should be subtracted from 500 to make it a perfect square
Answer: 16
Step-by-step explanation:
A perfect square is basically some number multiplied by itself. For example, 4 is a perfect square because 2x2=4.
22 x 22 = 484 (under 500)
23 x 23 = 529 (over 500)
Therefore, the perfect square must be 484.
Subtract 484 from 500:
500 - 484 = 16
16 is the answer :)
For one of their science experiments students needed 10 1/2 liters of water. If there were 7 groups
doing the same experiment, how much water did they need for all of the groups?
Answer:
73.5 liters of water
Step-by-step explanation:
10 1/2× 7= 73.5
The amount of water that they need for all of the groups will be 73.5 liters.
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.
For one of their scientific tests, understudies required 10 ¹/₂ liters of water. Assuming there were 7 gatherings doing likewise analysis.
The amount of water that they need for all of the groups will be calculated as,
⇒ (10 ¹/₂) x 7
Simplify the expression, then we have
⇒ (10 ¹/₂) x 7
⇒ (10 + ¹/₂) x 7
⇒ (21/2) x 7
⇒ 147/2
⇒ 73.5 liters
The amount of water that they need for the gatherings will be all 73.5 liters.
More about the Algebra link is given below.
https://brainly.com/question/953809
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A consignment of fodder can feed 1000 sheep
20 days. Assuming that all the sheep consume
fodder at the same rate, how many consignmen
of fodder are needed to feed 550 sheep for 400 days?
Answer: 11 consignmen
Step-by-step explanation:
Given that a consignment of fodder can feed 1000 sheep 20 days. Assuming that all the sheep consume
fodder at the same rate, then
1000 × 20 = 20000 for 1 consignment
to feed 550 sheep for 400 days, that is
550 × 400 = 220000
The consignment that will be needed will be
220000 / 20000 = 11
Therefore, 11 consignment fodder are needed to feed 550 sheep for 400 days.
if 2x^2+2x=12, what is x?
Answer:
x= 2
x= -3
Step-by-step explanation:
Solving as normal quadratic equation:
2x^2+2x=12x^2 +x = 6x^2 + x - 6= 0x = (-1 ± √(1+4*1*6)/2 x = ( - 1 ± √25)/2 x = (-1 ± 5)/2x= 2x= -3Roots are 2 and -3
Answer:
x = - 3 or x = 2Step-by-step explanation:
2x² + 2x - 12 = 0
Divide all the terms by 2 to simplify the terms
That's
x² + x - 6 = 0
Write x as a difference
That's
x² + 3x - 2x - 6 = 0
Factor x out of the equation
That's
x( x + 3) - 2x - 6 = 0
Factor out - 2 from the expression
x(x + 3) - 2( x + 3) = 0
Factor out x + 3 from the expression
That's
( x + 3)(x - 2) = 0
x + 3 = 0 x - 2 = 0x = - 3 x = 2Hope this helps you
A number minus 4 equals 19. Which equation fits this statement?
A 4-X=19
BX-4 = 19
C 4 = X-19
D 19 - X=4
A tree is broken at a height of 5 meters from the ground and it's top touches the ground existence of 12 m from the base of the tree find the original height of the tree
Answer:
18 m
Step-by-step explanation:
The given situation is equivalent to a right angled triangle as shown in the diagram attached.
AB is the height at which tree was cut.
And the top touches the ground at a point C.
So,
AB = 5 m and
AC = 12 m
Here, we have to find original height of the tree.
Original height of Tree = AB + BC OR AB + BC' (Because B is the point in height AC' of tree)
Let us consider the [tex]\triangle ABC[/tex].
As per pythagorean theorem:
[tex]\text{Hypotenuse}^{2} = \text{Base}^{2} + \text{Perpendicular}^{2}\\\Rightarrow BC^{2} = AB^{2} + AC^{2}\\\Rightarrow BC ^2=5^2+12^2\\\Rightarrow BC = \sqrt{169}\\\Rightarrow BC = 13\ m[/tex]
Therefore the answer is :
Height of tree = 5+13 = 18 m
Help needed ASAP will give brainliest.
Answer:
0.22, 15%, 1/7, 12%, 1/9
Step-by-step explanation:
Showing all given numbers in decimal form rounded to hundredths:
12% = 0.121/9 = 0.110.221/7 = 0.1415%= 0.15Putting them in the order from the greatest to least:
0.22, 0.15, 0.14, 0.12, 0.11Same order with original numbers:
0.22, 15%, 1/7, 12%, 1/9Matching with answer choices:
The third one from the top or C is the correct choice6=2(y+2) what does y equal ?
Answer:
1
Step-by-step explanation:
1. expand the terms on the right side of the equation: 6=2y+4
2. subtract 4 from both side: 2=2y
3. divide both side by 2: 1=y
Answer:
y=1
Step-by-step explanation:
2(y+2)=6
2y+4=6
2y=6-4
2y=2
y=2/2
y=1
please help :) Write the number shown in standard notation. 6.6 x 10 to the 5 power A. 6,600 B. 660,000 C. 66,000 D. 6,600,000
Answer: Hi!
The equation given is 6.6 * 10^5.
First, we will solve the exponent.
10^5 = 100,000
Next, we will multiply 100,000 by 6.6.
100,000 * 6.6 = 660,000
Therefore, your answer is b), 660,000.
Hope this helps!
translating verbal expression: 1/2 of a m
Answer: (1/2) m
Step-by-step explanation:
1/2 of a m=(1/2) m
If you want to make it more comprehensive, I am going to provide you with some examples
1/2 of 8=1/2(8)=41/2 of 40=1/2(40)=20Applying [m] goes with the same pattern
Hope this helps!! :)
Please let me know if you have any question
Calculate the area of this diagram
[tex]A=\frac{1}{2}\cdot a\cdot b\cdot \sin\angle AB\\\\A=\frac{1}{2}\cdot6\cdot6\cdot\sin38^\circ\\\\A=18\cdot0.616\\\\\boxed{A=11.0819}[/tex]
A store polled its customers about the fit of jeans they preferred. the two-way frequency table shows the result of the poll.
doing this because its already answered and I need points. But to be safe, Itds the second option going to the right. (aka the top right option)
Step-by-step explanation:
The two-way frequency table shows the result of the poll is in option "B".
What is frequency table?Frequency refers to the number of times an event or a value occurs. A frequency table is a table that lists items and shows the number of times the items occur.
According to the question
A store polled its customers about the fit of jeans they preferred.
The two-way frequency table shows the result of the poll.
As the frequency table have 4 columns and 3 rows
In which columns have : Regular , Slim , Bootcut , Total
In which rows have : Male , Female ,Total
To check which option is correct we will check whether total is correct for column is row or not
Option A :
This option is incorrect
1st column is not correct as total should be 1 but it is 0.5 .
Option B:
This option is correct as total is correct for column and row .
Option C:
This option is incorrect as total of column Bootcut is not correct .
Option D:
This option is incorrect as total of all columns are incorrect .
Hence, the two-way frequency table shows the result of the poll is in option "B".
To know more about frequency table here:
https://brainly.com/question/12576014
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The graph of a function is shown below. What is the range?
A.) {1,2,3,4}
B.) All Real Numbers
C.) {1,2,4}
D.) {1,2,3,5}
Answer:
C) {1, 2, 4}Step-by-step explanation:
The coordinates of the point (x, y).
x is in the DOMAIN
y is in the RANGE
From the graph we have the points
(1, 2) → x = 1, y = 2
(2, 1) → x = 2, y = 1
(3, 4) → x = 3, y = 4
(5, 2) → x = 5, y = 2
DOMAIN = {1, 2, 3, 5}
RANGE = { 1, 2, 4}
/we only take the repeating element once/
Find the area of a circle with a diameter of 20 inches. Use 3.14 for pi
Answer:
The area of the circle is 314 inches
Step-by-step explanation:
Area if a circle = πr²
r = radius
r= d/2
r=20 /2
r=10 inches
Area =3.14×10²
= 3.14×100
=314 inches
Answer:
314 in. cubed
Step-by-step explanation:
The formula to find the area of a circle is:
A= πr²
Pi is 3.14 so substitute that in
A= 3.14(r)²
The radius is 10 because the radius is half of the diameter. Half of 20 is 10. So substitute that in the radius symbol.
A= 3.14(10)²
Square 10, which is 10 times 10. 10 times 10 equals 100.
A= 3.14(100)
100 times 3.14 is 314 because 100 has two zeroes which means you move the decimal point in 3.14 two places to the right. It gets you 314.0 which is just 314.
A= 314
Jane is saving to buy a cell phone
$35 a month from her allowance
Does it make sense to represent to
and the number of months with a
your answer.
She is given a $100 gift to start and saves
after 1 month, Jane has saved $135.Does it make sense to represent the relationship between the amount saved
ne constant rate? Why or why not? Explain.
Answer:
She saves the same amount of money, it doesn't make sense to represent the amount saved and number of months with one constant rate.
Step-by-step explanation:
Because the se amount is saved every month, it makes ot linear, and then unnecessary to represent the amount saved and the number of months with one constant rate.
If m∠OZQ = 125 and m∠OZP = 62, what is m∠PZQ
Answer:
63° or 173°Step-by-step explanation:
You didn't specify where the point P is so there are two posibilites:
1.
P₁Z is dividing angle OZQ
then:
m∠P₁ZQ = m∠OZQ - m∠OZP₁ = 125° - 62° = 63°
2.
P₂Z is outside angle OZQ
then
m∠P₂ZQ = 360° - (m∠OZQ + m∠OZP₂) = 360° - (125° + 62°) = 173°
What are the simplified expressions on these expressions
1.3(2a+4)
2.2(3c-4)
3.5c+8c-4c+7
4.2c+5-8c-10
5.4(2-5k-2m)
6.5k+k+2
7.7p-8p+3p
8.9+4y+11+3y
9.8d+5f-2d-3d-7f
10.4(3a+1)+6a
11.7(3f+2)+2(5f-4)
12.6(3k+m-2)
13.2m+3m-m
14.c+6c-3c
15.8+4b-3+2b
16.3b-5b+8a-1
17.4f+4+3d-6-3f
Ik it’s a lot but I’m only in eighth grade and they want put me in ninth honors and this is only the third day and I’m so confused
answer:
1. 6a+12
2. 6c-8
3. 9c+7
4. -6c-5
5. 8-20k-8m
6. 6k+2
7. 2p
8. 7y+20
9. 3d-2f
10. 18a+4
11. 31f+6
12. 18k+6m-12
13. 4m
14. 2c
15. 6b+5
16. -2b+8a-1
17. f+3d-2
Hey! i just want to say that it's very easy when you just add variables with other same variable. for example, 2m+m. 2+1=3! and just pop the variable M in there. which equals 3m! super easy! right? hope this helped