Answer:
[tex]x=2[/tex]
Step-by-step explanation:
So we have the equation:
[tex]5^x+5^{x+1}=150[/tex]
First, separate the second term:
[tex]5^x+(5\cdot5^x)=150[/tex]
Let u equal 5ˣ. So:
[tex]u+5u=150[/tex]
Combine like terms:
[tex]6u=150[/tex]
Divide both sides by 6:
[tex]u=25[/tex]
Substitute back u:
[tex]5^x=25[/tex]
Take the base 5 logarithm of both sides:
[tex]\log_5(5^x)=\log_5(25)[/tex]
The left cancels:
[tex]x=\log_5(25)[/tex]
Evaluate the right:
[tex]x=2[/tex]
So, our answer is 2.
And we're done!
The sum of a Rational Number and an irrational number is rational true or false?
Answer: FALSE
Step-by-step explanation:
An Irrational number is a decimal t hat is non repeating while a rational number is s repeating decimal.
Answer:
False
Step-by-step explanation:
Because the sum of a rational Number and an irrarional number is still irrational.
Which revision changes the sentence from passive voice to active voice?
The new art gallery in our city was visited by several politicians and celebrities to raise money for charity.
OA. Visited by several politicians and celebrities, our city's new art gallery raised money for charity.
OB. The new art gallery in our city raised money for charity by the visits of several politicians and celebrities.
OC. To raise money for charity, the new art gallery in our city was visited by several politicians and celebrities.
OD. Several politicians and celebrities visited the new art gallery in our city to raise money for charity.
Answer:
They all have the passive word, "Visited," so that makes everything a bit more complicated. I can see why you asked the question. I'd go with C. Unless it's a trick question and you're supposed to see that or something.
Danielle put 4.902 gallons of gasoline in a gas tank. What is 4.902 written in expanded form?
A. 4×1+9×110+2×1100
B. 4×1+9×110+2×11,000
C. 4×10+9×110+2×1100
D. 4×10+9×1100+2×11,000
Answer:
(4* 1) + (9 * 1/10) + (2 * 1/1000)
Step-by-step explanation:
Given the figure : 4.902
Writw the figure above in expanded form:
4.902
Using the place value indicators :
Unit___tenth___hundredth___thousandth
4______9_______0___________2
Unit:
4 × 1
After the decimal point :
Tenth :
9 × 1/10 =
Hundredth :
0 * 1/ 100
Thousandth:
2 * 1/1000
Hence :
(4* 1) + (9 * 1/10) + 0 + (2 * 1/1000)
Answer: B
Step-by-step explanation:
4x1+9x1/10+2x1/1000
Joanne has a cell phone plan that charges a flat rate of $97 and $0.10 for every text she sends. Her goal is to spend less than $113 on her phone bill each month. Which of the following describes the number of texts she sends? (2 points)
a.) at least 160
b.) no more than 160
c.) fewer than 160
d.) more than 160
Answer:
c because she wants to spend less than 113 and if she sent 160 that would be 113 so has to be less
Step-by-step explanation:
113>97+.1x
16>.1x
160>x
write 0.00000478 in scientific notation
Answer:
4.78 × 10^-6
Hope this helped :)
Answer: 4.78 × 10^-6
Step-by-step explanation:
find the 55th term of the arithmetic sequence 11,21,31,...
A triangular window has area
24 square feet and height six feet.
What is its base?
What is the absolute value of 2.5
☽------------❀-------------☾
Hi there!
~
The absolute value is the distance from 0 to 2.5. In this case the absolute value from 0 to |2.5| is 2.5
❀Hope this helped you!❀
☽------------❀-------------☾
-7p = -3p - 8
p =
Help
Answer:
p=2
Step-by-step explanation:
-7p = -3p - 8
Add 3p to each side
-7p+3p = -3p+3p - 8
-4p = -8
Divide each side by -4
-4p/-4 = -8/-4
p = 2
Answer:
[tex] \huge{ \fbox{ \sf{p = 2}}}[/tex]
Step-by-step explanation:
[tex] \bigstar{ \sf{ \: - 7p = - 3p - 8}}[/tex]
[tex] \underline{ \underline{ \mathfrak{Let's \: solve}}} : [/tex]
[tex] \text{Step \: 1} : \sf{Move \: 3p \: to \: left \: hand \: side \: and \: change \: it's \: sign}[/tex]
[tex] \mapsto{ \sf{ - 7p + 3p = - 8}}[/tex]
[tex] \text{Step \: 2} : \sf{Collect \: like \: terms}[/tex]
[tex] \sf{Like \: terms \: are \: those \: which \: have \: the \: same \: base}[/tex]
[tex] \mapsto{ \sf{ - 4p = - 8}}[/tex]
[tex] \text{Step \: 3} : \sf{Divide \: both \: sides \: by \: - 4}[/tex]
[tex] \mapsto{ \sf{ \frac{ - 4p}{ - 4} = \frac{ - 8}{ - 4}}} [/tex]
[tex] \text{Step \: 4} : \sf{Calculate}[/tex]
[tex] \mapsto{ \sf{p = 2}}[/tex]
Hope I helped!
Best regards! :D
~[tex] \sf{TheAnimeGirl}[/tex]
4+(9x2)÷(4-1)-4 simplify by using order of operations
Answer:
the answer is 6 just do the math and it's pretty easy
Steps to solve:
4 + (9 * 2) / (4 - 1) - 4
~Simplify what is in parenthesis
4 + (18) / (3) - 4
~Divide
4 + 6 - 4
~Add
10 - 4
~Subtract
6
Best of Luck!
Overnight, the temperature dropped 1.3 degrees every hour. How many hours did it take the temperature to drop 7.8 degrees?
Answer:
what was the temperature at first?
4^x+ 2^(1+2x)= 50
I know what the answer is (about 2.03), but I need help getting there!
Step-by-step explanation:
4ˣ + 2¹⁺²ˣ = 50
Rewrite 4 as a power of 2.
2²ˣ + 2¹⁺²ˣ = 50
Factor out 2²ˣ.
2²ˣ (1 + 2) = 50
2²ˣ = 50/3
Take log of both sides.
ln(2²ˣ) = ln(50/3)
Use exponent property.
2x ln 2 = ln(50/3)
Solve for x.
x = ln(50/3) / (2 ln 2)
Simplify.
x = ln(50/3) / (ln 4)
x ≈ 2.03
What is this answer and work shown please 5/2x -3 =2
Answer:
x = 2
Step-by-step explanation:
Given
[tex]\frac{5}{2}[/tex] x - 3 = 2 ( add 3 to both sides )
[tex]\frac{5}{2}[/tex] x = 5 ( multiply both sides by 2 to clear the fraction )
5x = 10 ( divide both sides by 5 )
x = 2
Apply the dilation (x, y) = (3x, 3y). What will be the coordinates of T'?
Answer:
6,0
Step-by-step explanation:
the dilation moves points from A to B
in this case we're moving point T
point T has coordinates 2,0 to start with (A)
Now let's move it to B
To do so, we need to apply the calculation
(x,y) => (3x,3y)
Substitute in point T:
(2,0) => (3x,3y)
(2,0) => (3(2),3(0))
(2,0) => (6,0)
Need help don’t understand
Answer it is B
Step-by-step explanation:
Answer:
[tex] r^2 [/tex]
All choices are incorrect.
Step-by-step explanation:
Remember that [tex] r = r^1 [/tex].
Also remember the rule: [tex] \dfrac{a^m}{a^n} = a^{m - n} [/tex]
[tex] \dfrac{r^3}{r} = [/tex]
[tex] = \dfrac{r^3}{r^1} [/tex]
[tex] = r^{3 - 1} [/tex]
[tex] = r^2 [/tex]
Answer: [tex] r^2 [/tex]
All choices are incorrect.
The 7-digit numbers in a given area code have the form ABC-XXXX, where B, C and X can be any digit 0-7 and A is restricted to 2-8. How many 7-digit numbers are possible in a single area code?
Answer:hhhhds
Step-by-step explanation:
The formula for the volume of a cylinder is V = 2trh. Solve the formula for h.
Answer:
V/(2tr)=h
I think, its been a while since i had to do a problem like this
Solve using 2-step equations.
You work as a salesperson at Cutco, and earn only commission. You earn 30%
commission on everything you sell. Your bills this month are $1,800 and you
also want to put $500 into your savings.
How much do you need to sell at your job to make sure you can pay your
bills and still have enough to save?
Answer:
$7666.7
Step-by-step explanation:
1800 + 500 = 2300. That means that 30% = 2300. If u divide both sides by 3 then 10% = 766.67 times that by ten and then that will equal $7666.7
A contestant on a quiz game show has -25 points. If she loses an additional 50 points, what is her score? Write an addition number sentence and then solve.
A hot-air balloon starts 6 feet above the ground and then rises 20 feet each minute.
What equation gives the height h in feet as a function of time t in minutes?
A. h=61
B. h=202
С. h = 204 + 6
D. h=6+ 20
At starting hot-air balloon starts 6 feet.
So, at t = 0 , h = 6 feet.
Now, distance travelled per minute is 20 feet.
So, extra distance travelled in t minutes is 20t feet.
Now,
Total height = Staring height + increase in height w.r.t time.
h = 6 + 20t
Therefore, the height h in feet as a function of time t in minutes is h = 6 + 20t .
Hence, this is the required solution.
how many line of symmetry has a kite
Answer:
1
Step-by-step explanation:
Answer:
1
Step-by-step explanation:
The Bureau of Labor and Statistics (2018) reports that the average earner with a high school diploma will earn about $35,000 per year, an earner with a bachelor's degree will earn about $59,000 per year. The average salary of the high school graduate is what percent of the college graduate?
Answer:
59.322% or 59%
Step-by-step explanation:
devide 59,000 from 35,000 to get the answer.
After that, you will get 59% (rounded).
the answer is D (59.3%)
i jus got done takin the math quiz on knowledgematters
Solve by factoring x^4+6x^2-27=0
Answer:
Step-by-step explanation:
x^4+6x^2-27=0
The two factors you need to use for 27 is 9 and 3.
Since the middle term must be plus then the 9 is also plus.
(x^2 + 9)(x^2 - 3)
x^2 + 9 can't be factored in the real number system.
x^2 - 3 = 0
(x + sqrt(3))(x^2 - sqrt(3))
The full factoring answer would be
(x^2+9)(x + sqrt(3))(x^2 - sqrt(3))
HELP ME PLZZ I DONT UNDERSTAND THIS!!!!!!
Answer:
1/2
Step-by-step explanation:
y = kx
where k is the constant of proportionality
y = 1/2 x so k= 1/2
please help!! (click on pic)
Answer:
1/2x³y^6
Step-by-step explanation:
2. Write the equation of the line that goes through (5, 4) and has a slope
NEEED HELLLPPPPP PLEASEEE
Option 2
Step-by-step explanation:
[tex](5,4) = (x_1,y_1) \\ m = \frac{4}{5} [/tex]
Substitute values into the point slope form
y-y1 =m(x-x1)
y- 4= 4/5(x-5)
y -4= 4/5x -4
y= 4/5 x -4+4
y= 4/5x
Can you answer this?
Your cell phone plan costs $24..99 per month plus $0.17 for each text message you send or receive. You have at most $29 to spend on your cell phone bill. What is the maximum number of text messages that you can send or receive next month?
Answer:
The maximum number of text messages you can send per month would be 23.
Step-by-step explanation:
1. First, you want to create an inequality from the word problem. You know that $24.99 is a constant, so we won't put any variables next to it. You also know that each text message is $0.17, so that would need a variable since it can change each month. You also know that you can spend $29 maximum each month, so that goes on the other side of the inequality. Your inequality will look like this: 0.17x+24.99≤29 (x is the number of text messages).
2. Second, you want to solve for x. To do this, subtract 24.99 from each side. After this, the equation is 0.17x≤4.01
3. Now, divide each side by 0.17. Now your inequality is x≤23.59. This represents how many text messages you can send per month without going over 29.
4. Finally, you have to realize that is impossible to send exactly 23.59 text messages. So, you have to round down to 23 to get an even number of text messages, and that's your answer!
Hope this helps! Feel free to ask any questions :)
Evaluate the expression.
10x - 3x2 when x = 2
Answer:
8
Step-by-step explanation:
Answer:8 or -16
Step-by-step explanation:
a) If you mean 10x - 3(x²) when x=2
10(2)- 3(2²)= 20-12=8
b) If you meant 10x - 3x²=
10(2)-(3 x 2)²= 20-6²
20-36=-16
Find the length of the segment connecting (8,10) and (9,3). Round your answer to the nearest tenth.
Hey there! I'm happy to help!
Here's how to find the distance between any two points.
Subtract the x values.
8-9=-1
Square it.
-1²=1
Subtract the y values.
10-3=7
Square it.
7²=49
Add the two numbers you got.
49+1=50
And find the square root.
√50≈7.1.
Have a wonderful day! :D