[tex] {32}^{2x} = 16 ^{2x + 8} \\ = > {2}^{5(2x)} = {2}^{4(2x + 8)} \\ = > {2}^{10x} = {2}^{8x + 32} \\ = > 10x = 8x + 32 \\ = > 10x - 8x = 32 \\ = > 2x = 32 \\ = > x = \frac{32}{2} \\ = > x = 16[/tex]
Answer:
x = 16
Hope you could get an idea from here.
Doubt clarification - use comment section.
last 2 tutor find it wrong pls help me
Answer:
g(x) = 4x² -x +64
Step-by-step explanation:
The integral of f(x) will be continuous. This means the value must be the same for x = 4- as for x = 4+.
For some constant c1, the integral in the region x ≤ 4 is ...
∫f(x)dx = (4x² -x +c1) +C = g(x) +C
The integral in the region x ≥ 4 is given as ...
∫f(x)dx = 31x +C
Evaluated at x=4, we must get the same value from either expression:
4(4²) -4 +c1 +C = 31(4) +C
60 +c1 = 124
c1 = 64
__
In order to make the integral continuous at x=4, we must have ...
g(x) = 4x² -x +64
LAST ATTEMPT IM MARKING AS BRAINLIEST!! (Draw a dilation of the figure using the given scale factor )
Answer:
A = (0,1)
B = (1,-1)
C = (-1,-1)
Step-by-step explanation:
If this helped leave a brainliest
The difference between two numbers is 8. if 2 is added to the bigger number the result will be three times the smaller number. Find the numbers.
Answer:
The bigger number is 13 and the smaller number is 5
Round 67 to the nearest hundred. Enter your answer in the box below.
The points (8, 1) and (6, 0) fall on a particular line. What is its equation in slope-intercept form?
Answer:
y=-3/2 x + 6Step-by-step explanation:
According to the histogram of travel times to work from the US 2000 census (Page 6 of "Journey to Work: 2000"), roughly what percentage of commuters travel more than 45 minutes?
Histograms are used to represent data, where the length of each bar represents the frequency of the data element
The histogram is not given; So, I will give a general explanation.
Assume that the number of commuters that travel more than 45 minutes is 450, while the total number of commuters surveyed is 500.
The percentage of commuters that travel more than 45 minutes is the quotient of the commuters that travel more than 45 minutes and the total number of surveyed commuters.
So, we have:
[tex]\%Percentage = \frac{450}{500}[/tex]
Divide 450 by 500
[tex]\%Percentage = 0.9[/tex]
Express as percentage
[tex]\%Percentage = 90\%[/tex]
Hence, the percentage of commuters that travel more than 45 minutes is 90%
Read more about histograms at:
https://brainly.com/question/2776232
For her phone service, Kala pays a monthly fee of $24, and she pays an additional $0.07 per minute of use. The least she has been charged in a month is $118.64.
What are the possible numbers of minutes she has used her phone in a month?
Use m for the number of minutes, and solve your inequality for m.
Answer:
m=1352
Step-by-step explanation:
(118.64-24)/0.07=m
What is the product of (x2 + 3x + 9) and ( 2x + 7)?
Answer:
Ez 1+1=3 Duh
Step-by-step explanation:
You add 1 to 1 it will become 3why do we learn about history? we are kids we can make a war
Answer:
Because if you didn't you would not know anything about the past.
Step-by-step explanation:
Yes
I REALLY NEED HELP WITH QUESTION!! URGENTLY!! ANYONE WHO'S GOOD AT MATHS
Check the picture below.
there are a few angles shaded, I'll call that angle at O ∡O, and that angle at "x" ∡x and the green angle at A, ∡A, and the angle at B, ∡B, just so you know which angle we're referring to.
well, first off let's notice that B and C are points of tangency, meaning we get right-angles as you see in the picture, if we run an angle bisector from ∡x, towards point O, we get two congruent triangles, lemme shorten that up some, 90 + 90 + ∡O +∡x = 360, which means that ∡O + ∡x = 180, meaning that ∡O = 180 - ∡x, if that's so, the angle at point O across the shade, is 360 - ∡O or 360 - (180 - ∡x).
alrighty, by the inscribed angle theorem, ∡A is half of ∡O.
let's now focus on the triangle AOB, we'll be using half of ∡A and half of ∡O and ∡B on that triangle, let's proceed.
[tex]\measuredangle x + \measuredangle O=180\implies \measuredangle O=180-\measuredangle x \\\\\\ \measuredangle A = \cfrac{\measuredangle O}{2}\implies \measuredangle A = \cfrac{180-\measuredangle x}{2} \\\\\\ \stackrel{\textit{the angle across from }\measuredangle O~is}{360-\measuredangle O}\implies 360-(180 - \measuredangle x)\implies 180+\measuredangle x \\\\[-0.35em] ~\dotfill[/tex]
[tex]\stackrel{\textit{\large the sum of all three angles at }\triangle AOB}{\stackrel{\textit{half of }\measuredangle A}{\cfrac{1}{2}\cdot \cfrac{180-\measuredangle x}{2}}~~ + ~~\stackrel{\textit{half the angle across from }\measuredangle O}{\cfrac{180+\measuredangle x}{2}}~~ +~~\measuredangle B~~ =~~180} \\\\\\ \cfrac{180-\measuredangle x}{4}+\cfrac{180+\measuredangle x}{2}+\measuredangle B = 180[/tex]
now, let's multiply both sides by the LCD of all denominators, hmmmm in this case that'll be 4, so multiplying both sides by the LCD will do away with the denominators, so let's do so.
[tex]4\left( \cfrac{180-\measuredangle x}{4}+\cfrac{180+\measuredangle x}{2}+\measuredangle B \right) = 4(180) \\\\\\ (180-\measuredangle x)+2(180+\measuredangle x)+4\measuredangle B = 720 \\\\\\ (180-\measuredangle x)+(360+2\measuredangle x)+4\measuredangle B = 720\implies 540+\measuredangle x+4\measuredangle B = 720[/tex]
[tex]\measuredangle x+4\measuredangle B = 180\implies 4\measuredangle B = 180-\measuredangle x\implies \measuredangle B = \cfrac{180-\measuredangle x}{4} \\\\[-0.35em] ~\dotfill\\\\ ~\hfill \measuredangle B = 45 - \cfrac{\measuredangle x}{4}~\hfill[/tex]
can anyone find out what this is?
Answer:
Expression D
Step-by-step explanation:
all other answers are above 15! hope this helps :D
What is the prime factorization of 32?
A. 32 = 2 x 4x4
B. 32 = 2x2x2x2x2
C. 32 = 2x2x2x2
D. 32 = 2 * 2 * 2 * 4
Answer:
2nd option
Step-by-step explanation:
Repeatedly divide by 2 until the value 1 is reached
32 ÷ 2 = 16
16 ÷ 2 = 8
8 ÷ 2 = 4
4 ÷ 2 = 2
2 ÷ 2 = 1 ← finish here
Then
32 = 2 × 2 × 2 × 2 × 2
what is the expression to 50 times the sum of 64 and 36
Answer:
50(64+36) this would be your answer
50 x (64+36)
Step-by-step explanation:
According to PEMDAS, you will have to solve 64 + 36 first, so you need to put them in the parenthesis. Next, simply multiply by 50.
combine the like terms in the equation : 2s-4w+5+6s
To combine like terms, you have to add the same variables and all
First You have to find if the Numbers are positive or Negative
2s is positive
4w is Negative because i has Minus sigh before it
5 is Positive because it has added sigh
6s s Positive because it has added sign
Second you have to find the Like terms
2s+6s=8s
so, the new equation is
8s-4w+5.
That is the simplest
If you have questions just ask me I went through it pretty fast
On a number line, where would be located?
The total cost of a sketchpad and 6 pecils is $22.53. The sketch pad costs $9.99. Each. pencil costs the same amount. How much does each pencil cost
Answer:
22.53-9.99=12.54
12.54 divided by 6 = 2.09
Each pencil costs $2.09
Step-by-step explanation:
PLZ HELP!!! I WILL GIVE CORRECT ANSWER BRAINLIEST!!!
QUESTION: Find three consecutive integers where the sum of the first and the twice second is 35.
Answer:
11, 12, 13
Step-by-step explanation:
let's put the first number of the three as a:
a; a+1; a+2
The sum of the first and the twice second is 35 means:
a + 2(a+1) = 35
a + 2a + 2 = 35
3a = 33
a=11
now that we know a, we just need to add 1 and 2 as they are consecutive:
11, 12, 13
please help asap rn thank you
Answer:
1 is acute
2 is a right triangle
3 is obtuse
Step-by-step explanation:
A 90 degree angle will be written as a box in the corner. Any angle less than 90 is acute, and any angle more than 90 is obtuse.
What’s the y-intercept
Y-14=6(x-2.5)
Answer:
[tex]y=-1[/tex]
Step-by-step explanation:
[tex]y-14=6(x-2.5)[/tex]
[tex]y-14=6(0-2.5)[/tex]
[tex]y-14=6(-2.5)[/tex]
[tex]y-14=-15[/tex]
[tex]y=-1[/tex]
Which of the following cannot be used to prove that two triangles are congruent?
A.AAA
B.ASA
C.SSS
D.HL
Answer:
A
Step-by-step explanation:
:)
hope it helps
Evaluate f(-2) = -3x² - 2x
Answer:
-2F=7x
Step-by-step explanation:
F*-2= -2F 3x*3x=9x
-2F=9x-2x
-2F=7x
how do you write this expression in word form?
Answer:
d-7 divided by 2 or over 2
"When I started here, there were 500 employees. Since then, we have
added 35% more employees, so we now have a total of employees."
Answer:
Assuming that the question is asking how many employees there are, your answer would be 675.
Step-by-step explanation:
First, to find 35% of 500, you can use this equation (35 x 500) / 100 Second, solve the equation (The answer is 175) Third, you add 500 + 175 to get 675Find the volume V of the solid obtained by rotating the region bounded by the given curves about the specified line.
[tex]x = 2 \sqrt{3y} [/tex]
[tex]x = 0[/tex]
[tex]y = 7[/tex]
; about the y-axis
on this one, we proceed the same as the other, we start off by graphing them, Check the picture below. Now, we have a solid horizontal line at y = 7, that'd be our boundary, and a parabola that has a vertex at the origin, that's our other boundary, from 0 to 7.
In this case, is a solid area from the curve to the axis of rotation, so we can simply use the "disk" method to get the volume, lemme do it in the same way as "area under the curve", assuming h(y) = 0 for the axis of rotation
[tex]\textit{area under the curve}\\ \stackrel{f(y)}{2\sqrt{3y}}~~ - ~~\stackrel{h(y)}{0}\qquad \implies 2\sqrt{3y} \\\\\\ \displaystyle\int_{0}^7\pi \left( 2\sqrt{3y} \right)^2 dy\implies \int_{0}^7\pi(12y)dy\implies 12\pi \int_{0}^7 y\cdot dy \\\\\\ 12\pi \cdot \left. \cfrac{y^2}{2} \right]_{0}^7\implies12\pi \cdot \cfrac{49}{2}\implies 294\pi[/tex]
Help
Geometry 1
Find z
Answer:
8
Step-by-step explanation:
The triangles are the same, except one is dilated.
So the hypotenuse of one is 5, and the other is 10. The triangle is dilated to double the other's size. so 4*2 = 8
I have no idea what i just wrote, but the answer is correct.
Translate the sentence into an inequality.
Six times the sum of a number and 20 is greater than 16.
Use the variable c for the unknown number.
Answer:
6 (20 + c) > 16
Step-by-step explanation:
the sum of the number and 20 is 20 + c. so you multiply that equation by 6 giving you 6 (20 + c)
Alfredo's Towing Service charges $53.27 for its hook-up fee plus $29.25 for every mile, m, they tow your car. The equation that models the total cost (T) is T(m) = 29.25m + 53.27
Which value in the equation represents the rate of change?
A - $82.52
B - $29.25
B - The number of miles towed
C - $53.27
Please look for the question in the picture.
Answer:
-12.5
Step-by-step explanation:
-7x+8+11x=-42
-7x+11x=-42-8
4x=-50
x=-12.5
Hope this helped! :)
Hey There!
Question:-
[tex] \sf \: - 7x+8+11x= - 42[/tex]
We need to find the value of x.
Solution:-
[tex]\sf \longmapsto - 7x + 8 + 11x = - 42[/tex]
Combine Like terms:-
[tex]\sf \longmapsto \: ( - 7x+11x)+(8)= - 42[/tex]
On Simplification :-
[tex]\sf \longmapsto \: 4x +8 = - 42[/tex]
Subtract 8 from both sides:-
[tex]\sf \longmapsto \: 4x+8 - 8= - 42 - 8[/tex]
On Simplification:-
[tex]\sf \longmapsto \: 4x + 0 = - 42 - 8[/tex]
Note that (-) and (-) equals to (+).
[tex]\sf \longmapsto \: 4x = - 50[/tex]
Divide both sides by 4:-
[tex]\sf \longmapsto \: \dfrac{4x}{4} = \dfrac{ - 50}{4} [/tex]
On Simplification:-
[tex]\sf \longmapsto \: \dfrac{ \cancel2x}{ \cancel2} = \dfrac{ \cancel{- 50}}{ \cancel4} [/tex]
[tex]\sf \longmapsto \: x = \dfrac{ - 25}{2} [/tex]
Or in Decimal :-
[tex]\sf \longmapsto \: x = -12.5[/tex]
______________________________________
Henceforth, the value of x is :-
[tex]\boxed{\huge \red{x = - \dfrac{25}{2}}} [/tex]
In Decimal:-
[tex] \boxed{\huge\red{ x = -12.5}}[/tex]
________________________________
Please let me know if you have any questions.
~MisterBrian
To bring a "carry-on" bag onto an airplane the bag needs to weigh less than 25 pounds. Right now Julie's carry-on bag weighs 32 pounds. How much weight must Julie remove from her bag?
My answer needs to be 32-25=7
HELP ME!! (I WILL GIVE BRAINLIEST!)
Answer:
|-5| absolute be always + so 5
Answer:
[tex]5[/tex]
Step-by-step explanation:
Step 1: Determine what absolute value does
Taking the absolute value of a number just returns how far a specific value is from 0. So in this case we see a number -9 and although it's negative it's still 9 away from 0 therefore that would be the absolute value.
We are missing the absolute value of -5 or 5 so we know that taking the absolute value would just give us the distance from 0. In this case that would just be 5.
Answer: [tex]5[/tex]