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!
[50pts] To find the Volume of a Cone you need to: (SELECT ALL THAT APPLY)
a) Find the radius of the base
b) Find the area of the base
c)Divide by 3 at the end
d) Multiply Length time Width
e) Find the height of the cone
Answer:
find the radius of the base
find the area of the base
find the height of the cone
divide by three at the end
Step-by-step explanation:
this is from the formulae of volume of the cone
1/3πr2h
Ben went to the hardware store and bought 7 pieces of rope of equal length. The total length of the ropes was 56 meters. How long was each rope?
Answer:
8 meters
Step-by-step explanation:
56 / 7 = 8
4(x-6)=-4 I'll give you brainly
Answer: X = 5
Step-by-step explanation:
solve by multiplying the inside ( )
4x -24 = -4
add 24 to both sides
4x = 20
divide by 4
x = 5
a 27-inch board is to be cut into three pieces so that the second piece is 3 times as long as the first piece and the third piece is 5 times as long as the first piece. if x represents the length of the first piece, find the lengths of all three pieces
Step-by-step explanation:
27 = x + 3x +5x
27 = 9x
3 = x
Board 1: (3)(1) = 3 inches
Board 2: (3)(3) = 9 inches
Board 3: (3)(5) = 15 inches
Length of the first piece is 3 inches
Length of the second piece is 9 inches
Length of the third piece is 15 inches
What are equations?An equation is a mathematical statement which equate two algebraic expressions. An equation has an equal to (=) sign in between the expression.
How to find the lengths of all three pieces?According to the problem,
The length of the board is 27 inches.The board is to be cut into three pieces .The second piece is 3 times as long as the first pieceThe third piece is 5 times as long as the first piece.x represents the length of the first piece∴ Length of the second piece = 3x inches
∴ Length of the third piece = 5x inches.
Now, all these pieces will add up to 27 inches.
∴ x + 3x + 5x = 27
⇒ 9x = 27
⇒ x = 3
Length of the first piece = 3 inches
Length of the second piece = (3 x 3) inches = 9 inches
Length of the third piece = (5 x 3) inches = 15 inches
Find more about "Simple Equations" here: https://brainly.com/question/847634
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On a piece of graph paper, graph y=2x-3. Then determine which answer matches the graph you drew.
Answer:
Swan85 is incorrect. Here is the correct answer.
The required graph of the line y = 2x -3 has been attached.
What is the equation of a line?The equation of a line is typically written in slope-intercept form, which is:
y = mx + b
Where:
"y" represents the y-coordinate of a point on the line.
"x" represents the x-coordinate of the same point on the line.
"m" represents the slope of the line.
"b" represents the y-intercept of the line (where the line crosses the y-axis).
In this form, "m" and "b" are constants that determine the position and orientation of the line.
Here,
The line passes through the y-axis at -3 (when x = 0) and has a slope of 2, which means it rises 2 units for every 1 unit it runs. As x increases by 1, y increases by 2.
Based on this graph, the graph of the line y = 2x -3 has been attached.
Learn more about the equation of the line here:
https://brainly.com/question/21511618
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Marcus drives 32 miles to work each day. He records the number of minutes it takes to drive and writes his average speed as the input and the number of minutes as the output. He recorded his information in a table.
Answer:
1-1 Relations and Functions Marcus drives 32 miles to work each day. He records the number of minutes it takes him to drive and writes his average speed as the input and the number of minutes as the output. He recorded his information in a table, like the one shown below. Speed (mph) 60 45 55 Time (minutes) 32 43 35 50 62 38 31 If Marcus drives no faster than 65 miles per hour, what is the domain that includes all possible average speeds using interval notation? A 10.65) B (65) C (0.65) D. (65
I REALLLYYY NEED HELP WITH THIS ONE I DONT UNDERSTAND AT ALL AND MY TEACHERS ARE NOT HELPING ME...please?? Point B is between A and C. The distance between A and B is 1/2 of AC. What is the coordinate of B? B is located at on the number line.
To find the midpoint, we must take the sum of both values and then divide by two.
In this case, our values are -6 and 14
-6 + 14 = 8
8 / 2 = 4
B is located at 4 on the number line.
Clare
1
3
4
7
8 9 10 11
3
Tyler rode his bike 43 1/8 miles in 5 3/4 hours. How many miles did Tyler ride his bike per hour?
Show Your Work
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7 1/2 miles per hour
8 4/5 miles per hour
7 1/6 miles per hour
8 3/5 miles per hour
The number of miles is 7 1/2 miles option (A) is correct if Tyler rode his bike 43 1/8 miles in 5 3/4 hours
What is a fraction?Fraction number consists of two parts, one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.
It is given that:
Tyler rode his bike 43 1/8 miles in 5 3/4 hours.
Let d is the number of miles Tyler ride his bike per hour
43 1/8 miles in 5 3/4 hours
345/8 miles in 23/4 hours
d miles in 1 hour
345/8 = 23d/4
345/2 = 23d
d = 345/46
d = 322/46 + 23/46
d = 7 1/2 miles
Thus, the number of miles is 7 1/2 miles option (A) is correct.
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please I need help with both problems .( also show work plz)
Answer:
4. x = 50
5. x = 5
Step-by-step explanation:
For question 4:
Multiply both sides: x + 35 = -15Move the constant to the right: x = -15 - 35Calculate: x = -50For question 5:
Move the constant to the right: -3x = -17 + 2Calculate the sum: -3x = -15Divide both sides: x = 5Answer:
4) x= -50
5) x= 5
Step-by-step explanation:
Number 5
Simplifying
-3x + -2 = -17
Reorder the terms:
-2 + -3x = -17
Solving
-2 + -3x = -17
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '2' to each side of the equation.
-2 + 2 + -3x = -17 + 2
Combine like terms: -2 + 2 = 0
0 + -3x = -17 + 2
-3x = -17 + 2
Combine like terms: -17 + 2 = -15
-3x = -15
Divide each side by '-3'.
x = 5
Simplifying
x = 5
Number 4
x/5+7 = -3 // + 3
x/5+3+7 = 0
1/5*x+10 = 0 // - 10
1/5*x = -10 // : 1/5
x = -10/1/5
x = -50
x = -50
4 + 3 x 7 − 1 = 42 put brackets
Answer:
42
Step-by-step explanation:
(4 +3) ×(7-1) =
7 ×6 =
42
Answered
Mr.carlisle paid his utility bill last weekend.he paid $50 to the phone company,$112 to the power company,and $46 to the water company.after he paid those bills,what was the change in the total amount of money that mr carlisle had ?
Answer:-$208
Step-by-step explanation:
Someone pls help, I'm giving 14 brainly, this test is literally like my life and I need to pass. So someone pls help me...
Answer:
[tex]-\sqrt{79}[/tex] ;; irrational
0.253 ;; rational
0.412 ;; rational
[tex]\sqrt[3]{83}[/tex] ;; irrational
Step-by-step explanation:
ywww gl mann!
???????????????????????????????????????????????? just gib answer no explanation
Answer:
60
Step-by-step explanation:
cuz i know
I’m doing angle relationships and I have to find angle measurements and I have this problem it’s a right angle and it has a line coming from the inner corner and under the like it says it’s 68 degrees and the one on top is the measurement I’m trying to figure out help?
Use elimination to solve and match each system of equations to the correct solution.
2x-9y=-51
2x-3y=-9
I’ll mark brainliest to the first answer I get
[tex]\begin{cases}2x-9y=-51\\2x-3y=-9\end{cases}\\\\\\\begin{cases}(2x-9y)(-1)=-51(-1)\\2x-3y=-9\end{cases}[/tex]
[tex]\begin{cases}-2x+9y=51\\2x-3y=-9\end{cases}[/tex] (adding the second equation to the first one)
[tex]\begin{cases}\qquad6y=42\\2x-3y=-9\end{cases}\\\\\\\begin{cases}\qquad y=7\\2x-3y=-9\end{cases}\\\\\\\begin{cases}y=7\\2x-3(7)=-9\end{cases}\\\\\\\begin{cases}y=7\\2x-21=-9\end{cases}\\\\\\\begin{cases}y=7\\2x=12\end{cases}\\\\\\\begin{cases}x=6\\y=7\end{cases}[/tex]
What is the mode of the set of data?
12, 13, 4, 8, 9, 13, 2, 15, 7, 2, 9, 13, 6
Answer:
13
Step-by-step explanation:
this is because you have to look for the most common number
Find the area of a rectangle whose width is 6 and whose length is x – 5.
Answer:
If X is -5 then the answer is -30 but if it is X minus 5, the answer is X-30
Answer:
x-30
Step-by-step explanation:
Area of a rectangle is
length x width
l x w
[tex]x-5 * 6 = x-30[/tex]
Dariaun uses his credit card to buy a $3,000 laptop for college. The credit card
company charges him a simple interest rate of 18%.
How much does he owe the credit card company after six months?
Answer:
$3,270
Step-by-step explanation:
A = P(1 + rt)
First, converting R percent to r a decimal
r = R/100 = 18%/100 = 0.18 per year.
Putting time into years for simplicity,
6 months / 12 months/year = 0.5 years.
Solving our equation:
A = 3000(1 + (0.18 × 0.5)) = 3270
A = $3,270.00
The total amount accrued, principal plus interest, from simple interest on a principal of $3,000.00 at a rate of 18% per year for 0.5 years (6 months) is $3,270.00.
The mass of a textbook is approximately 0.00165 metric ton. How is this number written in scientific notation?
4(x - 1) =2(x + 2)
10. 8
Answer:
9.4
Step-by-step explanation:
BX is the BISECTOR of ZABC. (Diagrams are not drawn to scale)
1
If m_ABC = 5x +18 and mZCBX = 2x+12, find the value of x, and the mZABC.
B
Answer:
Step-by-step explanation:
it will be 10
Which two consecutive integers does −v30
lie between?
A) 5 and 6
B) 6 and 7
C) −5 and −6
D) −6 and −7
Answer:
√
36
=
6
lies between consecutive odd integers
5
and
7
.
Step-by-step explanation:
"The" square root of
36
is itself an integer, namely
6
, since
6
2
=
36
. So it does not lie between consecutive integers.
It does lie between consecutive odd integers
5
and
7
.
Note that
36
has another square root, namely
−
6
, since
−
6
satisfies:
(
−
6
)
2
=
36
When translating a number to the scientific notion (ex: 0.000157), do you count the zero to the left of the decimal point? Like would the scientific notion of 0.000157 be 1.57 x 10^-4 ? If you could explain how scientific notion works that be great. thanks
Answer:
You do not count the zero to the left of the decimal
Step-by-step explanation:
That zero is just a placeholder as there is nothing to the left of the decimal, you could also write the number as .000157
Your answer is correct, 0.000157 is 1.57x10^-4
Scientific notation is just expressing numbers in their exponential form. The power/exponent is found by counting how many times the decimal has moved to the right or the left.
Triangle Z is a scaled copy of Triangle M.
Select all the sets of values that could be the side lengths of Triangle Z.
a. 8, 11, and 14.
b. 10, 17.5, and 25.
C. 6, 9, and 11.
d. 6, 10.5, and 15.
e. 8, 14, and 20.
Answer:
D and E are correct
Step-by-step explanation:
Here, we want to select the set of values which could be the values of the sides of triangle z.
What we want here are sets of values which is a direct scale up value of the sets of values of triangle M:
We proceed as follows;
a. 8, 11 and 14.
This cannot be correct
Looking at the values of M, 4,7 and 10; We can see that while 4 and 7 are directly scaled up by factor 2 to give 8 and 14, by correspondence, 10 should be 20 and not 11 as in this case.
B. 10, 7.5 and 25
This cannot be correct too. Looking at the way 4 and 10
are scaled up by a value of 2.5; then the value of 7 should be scaled by 2.5 too, but 2.5 * 7 is not 7.5, so this cannot be correct
C. 6 , 9 and 11
This is not correct. In fact, we cannot identify a pattern between these numbers and their values before scaling up
D 6, 10.5 and 15
This looks correct. We can see that the values of triangle M if multiplied by 1.5 each can give these
4 * 1.5 = 6
7 * 1.5 = 10.5
and 10 * 1.5 = 15
e. 8, 14 and 20
Multiplying the sides of triangle M by 2, we can get these values.
4 * 2 = 8
7 * 2 = 14
and 10 * 2 = 20
The scale up value here is simply 2
Answer:
actually it's B, E, and D. At least that's what I got and it said it was correct.
Step-by-step explanation:
HELP FAST PLZ!! I GIVE BRANLIY!
what is the difference between the Integers -11 and -3?
Answer:
wait on second thought -8
Step-by-step explanation:
Answer:
-8
Step-by-step explanation:
-11<-3
-3-8 = -11
Difference = -8
Which problem is the same as 4 + 5
Answer:
6+3
Step-by-step explanation:
I need help!!!!!!!! 2c-2.6=1.8
Answer:
thats right
Step-by-step explanation:
Answer:
c= 2.2
Step-by-step explanation:
assuming your solving for c
2c-2.6=1.8 first isolate c by adding 2.6 on both sides
2c= 4.4 now divide both sides by 2
c= 2.2
D
Question 4
True or False:4.65 is less than square root 32 is
True
False
6x^2=21x-9 Need help learning factoring please put work so I can understand
WILL GIVE BRAINLIEST! Find k so that (5, k) is equidistant from (–1, 2) and (3, 0).
Answer:
9
Step-by-step explanation:
So first I created 2 distance forumlas and set them equal to each other
[tex]\sqrt{(5+1)^2+(k-2)^2} =\sqrt{(5-3)^2+(k)^2}[/tex]
then I simplified them
[tex](5+1)^2+(k-2)^2 =(5-3)^2+(k)^2\\[/tex]
[tex]36 + k^2 - 4k +4 = k^2 + 4[/tex]
[tex]-4k + 36 = 0\\[/tex]
[tex]4k = 36[/tex]
[tex]k = 9[/tex]
when k = 9, the two distances are equal