You can substitute a = 2ˣ and b = 5ʸ to make both equations linear.
The first equation becomes
a - b = 3
In the second equation, first simplify the exponents:
2ˣ ⁻³ = 2ˣ × 2⁻³ = 1/8 × 2ˣ
5ʸ ⁻² = 5ʸ × 5⁻² = 1/25 × 5ʸ
so the second equation changes to
a/8 + b/25 = 21
Multiply both sides of this by 200 (the LCM of 8 and 25) to eliminate the fractions:
25a + 8b = 4200
Multiply both sides of the first equation by 8, then add the corresponding sides of both equations. This eliminates b and you can solve for a :
8 (a - b) + (25a + 8b) = 8 (3) + 4200
(8a - 8b) + (25a + 8b) = 24 + 4200
33a = 4224
a = 128
Plug this into the first equation to solve for b :
128 - b = 3
b = 125
Now solve for x and y. Notice that
128 = 2⁷
and
125 = 5³
so it follows that x = 7 and y = 3.
Alternatively, you can use logarithms. For example,
a = 2ˣ → log₂(a) = log₂(2ˣ ) → x = log₂(128) = 7
Subtract (8x - 2) - (5x-7).
A. 3x-9
B. 3x + 9
C. 3x - 5
D. 3x + 5
Answer: the answer is 3x + 5
the answer is 3x + 5
Use the figure to calculate the volume of a section of round sheet metal pipe. The volume of the section shown = ________ cu in
Answer: 653.12 cu in
Step-by-step explanation: had it on a test
HELP please my friend needs help with his MATH homework, see picture for problem TY :)
-13=m-7 please help!
Answer:
20
Step-by-step explanation:
Answer:
m= -20
Step-by-step explanation:
-20--7=-13
hope this helps!!!
Plz help ASAP 15 points 4. XY is tangent to circle Zat point Y. Xw is tangent to circle Zat point W.
If XY = 12 units, what is the length of the radius of circle Z to the nearest tenth of a unit
A. 4.8 units
B. 5.0 units
C. 4.5 units
D. Not here
9514 1404 393
Answer:
A. 4.8 units
Step-by-step explanation:
Segment ZX can divide the figure into two right triangles. Then angle XZY is 136°/2 = 68°. The tangent relation tells you ...
Tan = Opposite/Adjacent
tan(68°) = XY/r
r = 12/tan(68°) ≈ 4.848 ≈ 4.8
The radius of the circle is about 4.8 units.
Answer: 4.8 units
Step-by-step explanation:
How to factor 4z⁴ + 68z²+ 225
Answer:
72z^6+225
Step-by-step explanation:
Hope this helps :D
Answer:
no its (2z^2+25)(2z^2+9)
Which is an example of a statistical Question 1.How old am I?Question 2.How old is the teacher?Question 3.How old will I be after my next birthday?Question 4.How old are the students in math class? question 1. question 2. question 3. question 4.
Answer:
Question 3 or 4
Step-by-step explanation:
Answer:
question 4
Step-by-step explanation:
plz help with math it would be greatly appreciated
Answer:
whats the question?
Step-by-step explanation:
Answer:
is this just to get free points cause you didint add your question?
Step-by-step explanation:
write sin 81 degrees in terms of cosine
Answer:
Sine, cosine and tangent formulas are used in RIGHT triangles. So you have one 90 degree angle and two acute angles that add up to 90 degrees (they are complimentary). So the cosine of one angle would be the same as the sine of the compliment to that angle... and vice versa. To answer this question, sin 81 = cos 9, since 81 and 9 are the two acute angles of the triangle and they both add up to 90 degrees. "Cos 9" is the answer when you wish to write "sin 81" in terms of "cosine."
Please give me brainiest
sine 81 degrees in terms of cosine is cos 9°
sin 81°
Trigonometric function:The angle is less than 90 degrees.it is an acute angle. Therefore, its in the first quadrant. The first quadrant, sine, cosine and tangent are positive.
sin 81° is less than 90 degree. Therefore, let's express them in terms of a cofunction.
Therefore,
sin x = cos(90 - x)
sin 81 = cos(90 - 81)
Therefore,
sin 81° = cos 9°
learn more on sine here: https://brainly.com/question/11962279
7x squared - x squared????
Answer:
6 x ²
Step-by-step explanation:
Answer:
Step-by-step explanation:
[tex]7x^2-x^2=6x^2[/tex]
I don’t understand this problem can someone please help !
Answer:
Step-by-step explanation:
tan 7 = 4.4/x
x = 4.4/ tan 7
x= 35.8 ft
Solue x² +2x²-x-2. polynomial
Answer:
(x+1) (x-2)
Step-by-step explanation:
use the table to predict the number of times you spin 5 when you spin the spinner 100 times
Answer:
14
Step-by-step explanation:
Add all values in "Times spun".
9 + 11 + 7 + 9 + 7 + 7
= 50
The spinner was spun a total of 50 times in the table.
We are looking for information if the spinner is spun 100 times, which is double of 50.
To predict information for spinning 100 times, double the data given in the table.
# of times "5" was spun for 50 spins (in table): 7
Double 7:
7 * 2 = 14
# of times "5" will likely be spun for 100 spins: 14
Or, solve using proportions:
The proportions are given in: (times "5" was spun)/(total spins)
[tex]\frac{7}{50} = \frac{?}{100}[/tex]
Since you double 50 to make 100, double 7 to solve for "?"
[tex]\frac{7}{50} = \frac{14}{100}[/tex]
∴ if you spin the spinner 100 times, you will spin "5" 14 times.
Answer:
14
Step-by-step explanation:
7 * 2 = 14
A person invests 9000 dollars in a bank. The bank pays 4.75% interest compounded quarterly. To the nearest tenth of a year, how long must the person leave the money in the bank until it reaches 12600 dollars?
7.1 years
Step-by-step explanation:
Principle P = 9000 dollars
Rate r = 4.75% = 0.0475
Total Amount A = 12600 dollars
compounded quarterly n = 4
Time t = ?
t = ln(A/P) / n[ln(1 + r/n)]
t = ln(12,600/9,000) / ( 4 × [ln(1 + 0.011875/4)] )
t = 7.1 years
so the answer is 7.1 years
Ms. Jacobson is taking her son and five friends to a trampoline gym. The cost to enter the gym is $9 for each person. Ms. Jacobson paid for everyone including herself to enter the gym. How much did she pay for everyone including herself to enter the gym?
Answer:
She paid $27
Step-by-step explanation:
9x3
Look at the two equations:
-3x + 6 = 21
-3x + 6 < 21
Which statement best describes the process used to solve the equations?
Answer:
WHAT ARE THE STATEMENTS??????????????
Step-by-step explanation:
Answer:
In both cases, subtract 6 from both sides, but reverse the inequality sign when doing that for the inequality.
Step-by-step explanation:
you always subtract or add first and i got it right on edge 2021
Ron walks 22.5 in 5 hours finds his speed
Answer:
his speed would be 4.5 miles per hour
Step-by-step explanation:
if you do the distance divided by the hours you will get the answer.
22.5/5=4.5
Combine like terms.
3y - y + 6y
107
8y
9y-y
2y
Answer:
3y-y+6y= 8y
107
8y
9y-y
2y
8y+8y+9y-y+2y= 26y
Your answer is 26y+107
2) There are 12 adult and 30 teen volunteers for a park clean-up day.
Volunteers will be divided into equal-sized groups. Each group will have the
same number of adults and the same number of teens. What is the greatest
number of groups that can be formed? ||
Answer:
2
Step-by-step explanation:
because 12 x 2 is 24. so if it's going to be equal it's going to be 2
Plz help me with this question ASAP
Answer:
Step-by-step explanation:
What is the length of BC?
☁︎
A:11
☁︎
B:12
☁︎
C:22
☁︎
D:24
Answer:
a. 11
Step-by-step explanation:
triangle lmn is twice triangle abc
2(x+4)=3x-1
2x+8=3x-1
x=7
7+4=11
Four students were asked to write an expression which has terms that have a greatest common factor of ab. The expressions provided by the students are shown below.
Michelle
16 a + 3 b
Naomi
18 a b c minus 13 a b c
Olivia
20 a b minus 14 a b c
Peyton
15 a b c + 14 a b
Which student wrote the correct expression?
Michelle
Naomi
Olivia
Peyton
Answer:
D.) Peyton
Step-by-step explanation:
If m is any integer, then gcd(a + m⋅b, b) = gcd(a, b). If m is a positive common divisor of a and b, then gcd(a/m, b/m) = gcd(a, b)/m. The GCD is a multiplicative function in the following sense: if a1 and a2 are relatively prime, then gcd(a1⋅a2, b) = gcd(a1, b)⋅gcd(a2, b). Factoring out the GCF is the first step in many factoring problems. Step 1: Determine the greatest common factor of the given terms. The greatest common factor or GCF is the largest factor that all terms have in common. Step 2: Factor out (or divide out) the greatest common factor from each term.
Answer:
peyton is correct because she is the only one with ab even in her awnser
Step-by-step explanation:
help! its for math ill give u 20 points
Answer:
11
Step-by-step explanation:
Median is the middle number when you line up all your numbers in numerical order.
hope this helps :)
Find the value of x
22
18
20
8
Answer:
20
Step-by-step explanation:
because 3×20=60 , 60-6= 54 . 2x20=40 , 40+14=54 , 4x20=80 , 80-26=54 so the value of x is 20 good luck
Answer:
20
Step-by-step explanation:
Since all angles are congruent, the triangle is an equilateral triangle and all sides are congruent.
3x - 6 = 2x + 14
x = 20
One spring day, Jin noted the time of day and the temperature, in degrees Fahrenheit. His findings are as follows: At 6 a.m., the temperature was 56° F. For the next 5 hours, the temperature rose 1° per hour. For the next 4 hours, it rose 2° per hour. The temperature then stayed steady until 6 p.m. For the next 3 hours, the temperature dropped 1° per hour. The temperature then dropped steadily until the temperature was 62° at midnight. On the set of axes below, graph Jin's data.
Answer:
This is how the graph will look like because I don't have a graph that why I use a note
Step-by-step explanation:
At 6am it is 56°.For the next 5hours it increases to 61° since it is 1° per hour and after 4 hours again it will increase to 69° because it is 2° per hour and it stayed steady till 6pm and it dropped the next 3 hours which the temperature now reduces to 66° and dropped steadily to 62° at midnight
The temperature variations is represented on the graph attached with the answer.
What is graph?A diagram showing the relation between variable quantities, typically of two variables, each measured along one of a pair of axes at right angles.
At 6am it is 56°.For the next 5hours it increases to 61° since it is 1° per hour and after 4 hours again it will increase to 69° because it is 2° per hour and it stayed steady till 6pm and it dropped the next 3 hours which the temperature now reduces to 66° and dropped steadily to 62° at midnight
To know more about Graph follow
https://brainly.com/question/4025726
#SPJ2
If 13 - x = 7, what is the value of 8x?
Can someone please help me with questions 12 through 14 with the answer correct I was trying but I don’t know what I put down is right it’s a beat confuse anyone please
Answer:
thats right
Step-by-step explanation:
what is the square root of 16
Answer:
hello
Ur answer is
4.000
Step-by-step explanation:
thanks
Help asap i will give brainliest
Answer:
It will be C.
Step-by-step explanation:
Think of the fraction as a division statement. First we have x, at the top, then Y at the bottom.
Answer:
C
Step-by-step explanation:
x/y is the same as x ÷ y because the slash sign (/) is the same as the divided sign (÷)
Hope this helps =]
Given: F(x) = 2x - 1; G(x) = 3x + 2; H(x) = x^2 find the function F[G(x)]-F(x)
Answer:
4x+4
Step-by-step explanation:
F[G(x)]
=F(3x+2)
=2(3x+2)-1
=6x+4-1
=6x+3
F[G(x)]-F(x)
=6x+3-(2x-1)
=6x+3-2x+1
=4x+4
