Answers
Answer:
x=2, x=1
Step-by-step explanation:
let's solve :
[tex] {4}^{2x} - 20(4 {}^{x} ) + 64 = 0[/tex]let's take
[tex]2 {}^{2x} = y[/tex]
now,
[tex]{(2{}^{2x} )} {}^{2} - 20(2) {}^{2x} + 64 = 0[/tex][tex]y {}^{2} - 20y + 64 = 0[/tex][tex]y {}^{2} - 16y - 4y + 64 = 0[/tex][tex]y(y - 16) - 4( - 16) = 0[/tex][tex](y - 16) (y - 4) = 0[/tex][tex]y = 16 \: \: or \: \: y = 4[/tex]if y = 16, then :
[tex]2 {}^{2x} = 16[/tex][tex] {2}^{2x} = 2 {}^{4} [/tex][tex]2x = 4[/tex][tex]x = 2[/tex]and if y = 4 :
[tex] {2}^{2x} = 4[/tex][tex] {2}^{2x} = {2}^{2} [/tex][tex]2x = 2[/tex][tex]x = 1[/texhence, value of x = 1 or x = 2
Related Questions
If the polygon is translated 4 units down and 5 units right, what will the coordinates of the new image be? Use prime notation in expressing the new coordinates
Answers
Answer: hey sis
Step-by-step explanation:
2
1. Beth works at the mall for $12.75 per
hour. She works for 41 hours per day on
2 days each week. How much does she
make in 2 weeks? (before taxes)?
Answers
Answer:
$2091
Step-by-step explanation:
We know:
12.75 per hour (h)
41 hours each day twice a week: each week (41 x 2) = 82
Since it is asking for two weeks: 82 x 2 = 164 hours
164 x 12.75 = $2091
Trey rented a truck for one day. There was a base fee of $17.95, and there was an additional charge of 96 cents for each mile driven. Trey had to pay $246.43
when he returned the truck. For how many miles did he drive the truck?
miles
Answers
Answer:
238 miles
Step-by-step explanation:
Subtract total cost with truck fee cost which makes it 228.48 then divide by the cost of each mile driven which is 96 cents, so it would be 238 miles
Hope this helps :)
(44 points and brainliest) A geologist noticed that land along a fault line moved 24 4/5 centimeters over the past 175 years. On average, how much did the land move each year?
Answers
The answer is 0.14 cm.
Hope this helps
Answer:
7.0564516129
Step-by-step explanation:
Use 175 and divide 24 4/5 from that, then you find out how much the land moves each year.
HELP DUE IN 10 MINUTES!!!!!
Two step equations word problems
Tim answered all the questions on his math test but got 10 answers wrong. He received 4 points for every correct answer, and there was no penalty for wrong answers. His score was 76 points.
1. Write an equation to determine the total number of questions (q) on Tim's math test.
2. Find the total number of questions on his math test.
Answers
Let the number of accurate answers provided by Tom equal x.
The number of incorrect responses is ten.
Tim receives 4 marks for each right answer.
Marks deducted for wrong answers = 0.
Total Points = 76
When all of the above statements are combined, the equation
76 = 4 x + 10 * 0
4 x = Equals 76.
19 = x
The number of correct answers is 19
The number of incorrect responses equals ten.
Total number of questions = 19 + 10 = 29
find the slope of -3/5x-1
Answers
BRAINLIEST!!! +15 POINTS!!! REAL ANSWERS ONLY!!!
Answers
Answer:
Its just a black screen? Maybe repost the question with another picture
HELP PLEASE I'M CONFUSED I DON'T KNOW THE ANSWER!!!
Answers
Answer:
the answer is 3 1/9
Step-by-step explanation:
if you see how many times you can fit 9 into 28 you will see it can happen three times but you still have 1 leftover hence the 1/9
I NEED HELP PLZ?!??!?
Answers
Answer:
4/15 or 20/75 or 0.733
Step-by-step explanation:
Total number of outcomes: 75
Number of outcomes in event we are looking for: 20
20/75 = 0.733 / 20/75 / 4/15
Please help!!!!!!!:(
Answers
Answer:
Yo no sé. ¿Has intentado buscarlo?
Step-by-step explanation:
PLEASE HELP ANSWER THIS QUESTION
(ILL GIVE BRAINLIEST TO THE BEST ANSWER TOO)
In Earth's southern hemisphere, the summer season is from December to March and winter is from June to September. The table shows the highest temperatures recorded at the South Pole for three different months.
Graph model:
South Pole Temperatures
Month Highest temperature (°F)
January 6
June –24
November –2
Each month's highest recorded temperature is plotted on the number line.
4. Which month had the coldest of the three temperatures? Explain.
thank you to anyone who helped
Answers
Same question here answered by me with proper explanation.Visit the link below for your ans
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Same question here answered by MisterBrainly with proper explanation.Visit the link below for your ans
https://brainly.com/question/24967986?
8. An employee works 6 hr. on Monday, 8 hr. on Tuesday, and 9 hr. on Wednesday and received
a $51 bonus. What is his hourly pay rate if his gross income (before deductions) was $350 for the three days?
O
$13/hr.
O
$14/hr.
O
$15/hr.
$16/hr.
Answers
Answer:
$13/hr
esa es la respuesta
Answer:
$13/hr
Step-by-step explanation:
Without bonus gross income = $350 - $51 = $299
Hours combined = 6hr + 8hr + 9hr = 23hr
23hr = $299
$299 ÷ 23hr = $13
Hourly pay rate = $13
Pls help me. I will give you 10 points respond fast!
Answers
Answer:
plz tell first what is your answer
Step-by-step explanation:
GCF of 36 and 99 is the largest possible number that divides 36 and 99 exactly without any remainder. The factors of 36 and 99 are 1, 2, 3, 4, 6, 9, 12, 18, 36 and 1, 3, 9, 11, 33, 99 respectively.
Add a pic or something
Three interior angles of a polygon are 125,140 and 160. The remain angles are 145 each. Calculate the sum of the interior angles of the polygon
Answers
Answer:
1440 degrees.
Step-by-step explanation:
125 + 140 + 160 = 425 degrees.
The remaining angles are each 145.
The exterior angles of all polygons sum to 360 .
So we have exterior angles sum of the 3 given angles
= (180-125) + ( 180-140) + (180-160)
= 55 + 40 + 20 = 115.
So the remaining vale of the sum is 360 - 115
= 245 degrees.
An internal angle of 145 will give an external one of 35 degrees.
245/35 = 7.
So there are 7 145 degree angles in the polygon.
Sum of the interior angles is therefore:
425 + 7*145
= 1440 degrees.
This is a 10 sides polygon ( a decagon).
please help me Thank you
Answers
[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]
Given statement :
Jayson planted 3 rows of seedlings in pots. Each row had 12 seedlings.
now, let's Answer the questions asked :
1. How many seedlings did he planted in all ?
3 × 12 36 seedlings2. What did Jayson plant in pots ?
He planted seedlings in the pots3. How many rows of seedlings are there ?
There were 3 rows of seedlings4. How many seedlings does each row have ?
Each row have 12 seedlings5. What is asked in the problem ?
The term asked in the problem is to find the total number of seedlings planted in all.6. How can we mentally find the answer to the problem ?
We can find the answer by multiplying the number of rows of seedlings by total seedlings in each row.that is :
3 × 1236Arnold had $37 to spend pens & pencils. The pens were $1 more than the pencils. He Bought 1 pen and 3 pencils. How much did the pens cost
Answers
Work:
Pen: ||||||||||
Pencil: |||||||||
Pencil: |||||||||
Pencil: |||||||||
Basically the division groups you probably learned in elementary.
Because the question mentioned that pens were $1 more than pencils. Pens automatically start with one extra in sorting.
9(3) + 10
= 37
(9+9+9) + 10
= 37
Above adding everything together to get our answer.
-3 3/5 divided by -1/2
Answers
Answer:
36/5 or 7 1/5 or 7.2
Step-by-step explanation:
-3 3/5 = -18/5
-18/5 * -2 = 36/5
Solve this problem. PLEASE HELP!!
Answers
9514 1404 393
Answer:
(b) 3 cups
Step-by-step explanation:
One recipe uses 6 oz of orange juice. Multiplying the quantity by 4 means ...
4 · 6 oz = 24 oz
of orange juice is needed. There are 8 oz in 1 cup, so this amount is ...
(24 oz)/(8 oz/cup) = 3 cups
To make quadruple the recipe, 3 cups of orange juice are needed.
Ulysses wants to find the area of the trapezoid shown. Complete the table to show how Ulysses could divide a trapezoid into simpler figures to find its area.
Answers
The answer is attached below
Can someone help me with this??
Answers
Answer:
son: 12 daniel: 32
Step-by-step explanation:
daniel is 26 in 6 years he would be 32
son is 3x younger in 6 years so 32 divided by 3 would be 10.6 (11 if estimated)
Which ordered pair is a solution of the equation y=x-2
A. (3,1)
B. (1,3)
C. (-1,3)
D. (3,-1)
Answers
Answer:
A. (3 , 1)
Step-by-step explanation:
Note the placement of x and y for points:
(x , y)
Plug in the corresponding numbers for the corresponding variables:
(x , y) = (3 , 1)
y = x - 2
(1) = (3) - 2
1 = 3 - 2
1 = 1 (True).
A. (3 , 1) is your answer.
~
Find the measure of the indicated angle in each triangle, to the nearest degree.
Answers
Answer:
Y = 98
C = 104.8
Step-by-step explanation:
All triangle are 180 degrees
A.
17 + 65 = 82
180 - 82 = 98
B.
73 + 2.2 = 75.2
180 - 75.2 = 104.8
Determine if each conjecture is true or false. If false, provide a counterexample.
Answers
Answer:
1)TRUE 2) The difference of any two negative integers is a negative integer.
3)TRUE 4) TRUE 5)FALSE-REASON-Freshwater fish maintain the physiological mechanisms that permit them to concentrate salts within their bodies in a salt-deficient environment; marine fish, on the other hand, excrete excess salts in a hypertonic environment.
Step-by-step explanation:
hope this helps
rosa travels 36 miles per hour how long does it take her to travel 3 miles? your answer should be in hours, accurate to at least the nearest tenth.
Answers
I think that’s right
Identify the conclusion of the statement Jack will go to school if today is Monday.
Jack will not go to school.
Jack will go to school.
Today is not Monday.
Today is Monday.
What can we determine based on the following information
Given: If an angle is acute, then it cannot be obtuse.
< A is always obtuse.
< A is sometimes obtuse.
< A cannot be obtuse.
No conclusions can be made based on the given information.
Answers
sarah is taking out a $24,400, 4 year new car loan with an apr of 2.88%. what is the finance charge for this loan? round to the nearest $100
Answers
this isn’t factual tho
i took 24,400 and multiplied it by 2.88% and got 702.72 and rounded up to 700
The finance charge for the car loan Sarah took rounded to the nearest 100 dollars is 700 dollars.
What is the percentage?A percentage is a value per hundredth. Percentages can be converted in decimals by dividing the percentage value by 100 it can also be simplified to keep it in a fraction form.
Given Sarah is taking a loan of 24,400 dollars for a new car.
Also given is the finance charge for this car loan is 2.88%.
We know 2.88% of 24400 dollars is,
= (2.88/100)×24400 dollars.
= 0.0288×24400 dollars.
= 702.72 dollars.
Which rounded to the nearest 100 dollars is 700 dollars.
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Define the following terms and give an example of each. 1) Exponent 2) Base 3) Power 5) Expanded form 6) Standard form 4) Exponential form plzzzzzzz help me plzz
Answers
Answer:
Exponent - "a quantity representing the power to which a given number or expression is to be raised"
Base - "The number that gets multiplied when using exponents"
Power - "The number of times you use the number in multiplication"
Expanded Form - "A way to write a number by adding the value of its digits"
Standard form - "A way of writing down very large or very small numbers easily."
Exponential form - "a shortcut way of writing repeated multiplication involving base and exponents"
Help please thanks
Answers
Answer:
a) (x - 1) (x + 4)
b) (x + 1) (x - 3)
c) (x - 2) (x + 4)
If you invest $7,000 for 5 years, and you earn 4% interest, how much interest overall
will you earn, assuming the interest is NOT compounding? (Hint: I=PRT)
Show your answer as a whole number (no decimals).
Answers
The interest earned in five years is $1400.
What is simple interest?
Simple interest is interest calculated on the principal portion of a loan or the original contribution to a saving account.
Formula for simple interestA = P(1 + rt)
Where,
A is the final amount
P is the initial principal balance
r is the annual interest rate
t is time(in years)
According to the given question
We have
Initial Principal balance, P = $7000
Time, t = 5years
Annual interest rate, r = 4% = 0.04
Therefore, the amount in five years is given by
A = 7000(1 + 0.04(5))
A = 7000(1 + 0.2)
A = 7000(1.2)
A = $8400
Now, the interest earned in five years
S.I = A - P
⇒ S.I = $8400 - $7000
⇒ S.I = $1400
Hence, the interest earned in five years is $1400.
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A map represents every 18 kilometers with 1 centimeter. If two locations are actually 54 kilometers apart, how many centimeters apart are the two locations on the map?
Answers
A scale on a map is used to compare one length with another length.
The two locations on the map are 3 centimeters apart.
From the question, a map represents every 18 kilometers with 1 centimeter. Hence:
18 kilometers = 1 centimeter
54 kilometers = ?
Cross Multiply
54 kilometers x 1 centimeter / 18 kilometers
= 3 centimeters.
Therefore, the two locations on the map are 3 centimeters apart.
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