[tex]4 \times 8 ^{2x + 1?} = 32 ^{x + 2} [/tex]
Answer:
x = 5
Step-by-step explanation:
__________________________________________________________
FACTS TO KNOW BEFORE SOLVING :-
[tex]a^x \times a^y = a^{x+y}[/tex]In an equation , if the bases are same in both L.H.S. & R.H.S. then , the power of the bases on both the sides of equation should be equal. For e.g. : [tex]a^x = a^y[/tex] ⇒ [tex]x = y[/tex] [∵ Bases are equal on both the sides]__________________________________________________________
[tex]4 \times 8^{2x+1} = 32^{x+2}[/tex]
Lets express it in terms of 2.
[tex]=> 2^2 \times 2^{3 (2x+1)} = 2^{5(x+2)}[/tex]
[tex]=> 2^2 \times 2^{6x+3} = 2^{5x+10}[/tex]
[tex]=> 2^{2 + 6x+3} = 2^{5x+10}[/tex]
[tex]=> 2^{6x+5} = 2^{5x+10}[/tex]
Here the bases on both the sides are equal. Hence ,
[tex]=> 6x + 5 = 5x + 10[/tex]
[tex]=> 6x - 5x = 10 - 5[/tex]
[tex]=> x = 5[/tex]
Which sand-castle spire has a greater volume? How much more sand do you need to make the spire with the greater volume?
Answer: spire b has the greatest volume with a volume of 64. spire a has a volume of 60. you'll need 4 in^3 more sand.
Step-by-step explanation:
since we know the volume of spire a is 60 while spire b’s volume is 64, from there, all you do is subtract 64 from 60. that gives us 4. meaning you need 4 in^3 more sand.
"A HARFİ ile ilgili atasözleri ve anlamları
Answer:
al sana atasözleri ile igili atasözleri ve anlamları
Due in 10 minutes please help !! ASAP Erin buys 2 packs of potatoes costing £2 each, 3 packs of carrots for £3 per pack, and 3 turnips costing 90p each.
If she pays with a £20 note, how much change would she get in pounds, £?
Answer:
£7.3
Step-by-step explanation:
2 x £2=£4
3 x £3 = £6
3 x 90 = 270 = £2.7
£4+£6+£2.7= £12.7
20-12.7=7.3
7 pounds and 3
Answer: 4.3
Step-by-step explanation:
2(2)+3(3)+3(.9)=
4+9+2.7=15.7
20-15.7= 4.3
I'm assuming that 100 p is 1 £, if that's not the case this would be wrong
The cubed root for 50
Answer:
125000
Step-by-step explanation:
Answer:
125000 is your answer
Step-by-step explanation:
pick me brainliest alex
4.) A radio station tower was built in two sections. From a point 87 feet from the base of the tower, the angle of elevation of the top of the first section is 25°, and the angle of elevation of the top of the second section is 400. To the nearest foot, what is the height of the top section of the tower? (LT. 3.7 & 3.8)
(This is Trigonometry)
how many solutions does the equation 5x+13=13 have
Answer:
It only has one solution
Step-by-step explanation:
fill the empty slots by dragging tiles from the left to show the next step for solving the equation. Use the equation machine to solve this equation. x =
The solution to the equation 2 = -(7/4) + (1/4)x is x = 15
What is an equation?An equation is an expression used to show the relationship between two or more numbers and variables.
Given the equation:
2 = -(7/4) + (1/4)x
Add 7/4 to both sides of the equation:
2 + 7/4 = -(7/4) + (1/4)x + 7/4
(1/4)x = 15/4
Multiply both sides by 4:
x = 15
The solution to the equation 2 = -(7/4) + (1/4)x is x = 15
Find out more on equation at: https://brainly.com/question/2972832
one and sixty three hundreths in decimal form.
Answer:
1.63
Step-by-step explanation:
Answer:
1.63
Step-by-step explanation:
Claire is going to invest in an account paying an interest rate of 4.8% compounded
continuously. How much would Claire need to invest, to the nearest hundred dollars,
for the value of the account to reach $540 in 13 years?
Answer: P= 300
Step-by-step explanation:
Expand 40 76/100 into decimal form then write the whole number with decimal.
Answer:
40.76
Step-by-step explanation:
gimme ye points
i'm so confused please hurry
Answer:
y = 5x = -5z = 10Step-by-step explanation:
For Explanation , see image
There are 9 counters in a bag.
7 of the counters are green.
2 of the counters are blue.
Ria takes at random two counters from the bag.
Work out the probability that Ria takes one counter of each colour.
An airplane flies 2700 miles in 3 hours and 45 minutes. What is its average speed in miles per hour?
Answer:
720 MPH
Step-by-step explanation:
2700 miles / 3.75 hours = 720 MPH
Answer:
720 Mph
Step-by-step explanation:
2700/3.75
don't put this answer in yet. Wait to see if someone has the same answer as mines.
9 2/3 - 4 1/5. ====???
Answer:
Step-by-step explanation:
5.46666666667
Answer:
5 7/15
Step-by-step explanation:
9 2/3-4 1/5 = 9 10/15-4 3/15=5 7/15
please help me , I don't understand how to do this
Answer:
10 more eggs
Step-by-step explanation:
If each egg equals 5 eggs then
pen 3 has a total of 25 eggs
Pen 2 has a total of 5
pen 5 has a total of 10
10 + 5=15
25-15= 10
Hope this helps ^-^
Answer:
10
Step-by-step explanation:
First I would convert all the egg drawings to the actual number:
Pen 3: 25 eggs
Pen 2: 5 eggs
Pen 5: 10 eggs
Then I would add pens 5 and 2 together, this would sum up to 15.
Lastly, I would subtract 15 from 25 = 10 eggs
Find the value of x in the triangle, pls help I need this so bad, if you want points you can tell me in the COMMENTS and I'll make a thing just for u!! But pls don't answer if u don't know♥️ thanks love u!!
Answer:
67 degrees, the 4th choice.
Step-by-step explanation:
As you may know, sum of angles in a triangle is 180 degrees. The best thing about this question here, is that 2 of the angles are already given. Now, all you need to do is add the two angles and subtract the result from 180.
You can also use the process of elimination to start.
First off, you can eliminate the second answer, sum of angles in triangle is 180, and 293 is way to much.
7 degrees is way too little, and it can be found by common sense, and knowing that 7+60+53 is already gonna be less than 180. (Didnt mean to be rude though. lol)
The only options left are 113 degrees and 67 degrees. now, lets use the actual formula of sum of angles in triangle.
60+53=113
180-113=67.
So, its 67 degrees! Process of elimination can help, but if you need proof for your answer, do not do that work in front of your teachers, only show the actual proof.
Hope you learned and liked my explanation! If so, please leave a rating and thanks (and hopefully brainliest!!) Have a great day!
pls help me it is inportant
Answer:
(5.x)+(5.2)
Step-by-step explanation:
Hope it helps you......
Answer:
nah
Step-by-step explanation:
HELP QUICK whats the domain and range of g(x)=√x-3+5
Answer:
check it..
Step-by-step explanation:
domain and range...
A 15 foot ladder leans against a house with the base of the ladder 4 feet from the house. How high, to the nearest foot, up the wall will the ladder reach?
Answer:
height of house to ladder reach is 14 ft
Explanation:
Given data
ladder = 15 ft
base = 4 ft
to find out
height of house
solution
we know this is triangle shape so we apply here
so we consider here x is ladder and y is base and z is height
so
by pythagoras theorem
z² + y² = x²
so here
z² = x² - y²
put value
z² = 15² - 4²
z² = 209
z = 14.45 = 14
so height of house to ladder reach is 14 ft
Step-by-step explanation:
The ladder and the ground form a right triangle. Use the Pythagorean Theorem to find the other leg of the triangle.
a^2 + b^2 = c^2
a^2 + 4^2 = 15^2
a^2 + 16 = 225
a^2 = 209
a = 14.5 feet
Factor x⁴y² + x³y³.
A. x 3y 2(x + y)
B. x³y² (x + 1 )
C. x²y² (x + y)
Answer:
A..........,..,......
Step-by-step explanation:
....,.............
Given the function below, what is the g(-8)?
g(x)=2x+1
Christina earned $510 working part-time at the movie theater. Of her paycheck, 1/ 4 pays for car insurance, 1/ 3 for gas, and 20% for miscellaneous expenses. The remaining amount of her paycheck is divided equally for entertainment and savings. How much does Christina spend each month on entertainment?
Answer:
$55.15
Step-by-step explanation:
1/4 of 510 = 127.5
1/3 of 510 = 170
20% of 510 = 102
510-(127.7+102+170)=510-399.7=110.3
110.3/2=55.15
hope this helps
a^2 + b^2 + 2bc - 2ca - 2ab
Function E is a linear function with an initial value of $2$ , and a rate of change of $\frac{1}{3}$
.
Function F is a linear function. The graph of function F includes the points $\left(2,\ 8\right)$ and $\left(0,\ 2\right)$ .
Which statement is true?
A The two functions have the same initial value.
B The two functions have the same rate of change.
C The initial value in function F is greater than the initial value in function E.
D The rate of change in function E is greater than the rate of change in function F.
Answer:
d
Step-by-step explanation:
The true statement: A The two functions have the same initial value.
What is a linear function?A linear function has a straight line as its graph.
A linear function has the form shown below.
a + bx = y = f (x).
A linear function consists of one independent variable and one dependent variable. The independent and dependent variables are x and y, respectively.
We know that function E is a linear function with an initial value of 2 and a rate of change of 1/3. Therefore, the equation for function E can be written as:
E(x) = (1/3)x + 2
We also know that function F is a linear function that includes the points (2, 8) and (0, 2).
We can use the two points to find the slope of the line and then use the point-slope form to write the equation for function F.
The slope of F = (8 - 2) / (2 - 0) = 6/2 = 3
Using point-slope form with the point (2, 8), we get:
F(x) - 8 = 3(x - 2)
F(x) = 3x + 2
Now we can compare the two functions.
A. The initial value of function E is 2, while the initial value of function F is 2 + 3(0) = 2. Therefore, statement A is true.
B. The rate of change of function E is 1/3, while the rate of change of function F is 3. Therefore, statement B is false.
C. The initial value of function F is 2, which is the same as the initial value of function E. Therefore, statement C is false.
D. The rate of change of function E is 1/3, which is less than the rate of change of function F, which is 3. Therefore, statement D is false.
Therefore, the only true statement is A. The two functions have the same initial value.
To learn more about the linear function;
brainly.com/question/20286983
#SPJ3
Which series of transformations will create similar but not congruent figures? (1 point)
O reflection and translation
O reflection and dilation
O reflection and rotation
O rotation and translation
If you don't know let someone who does answer
Answer:
I thik O rotation and translation
When I...
square my number ...
add three ...
divide by two and
add one
I get seven.
My number is:
The mayor of Chicago is known for being a great host, and he puts a lot of time into preparing for events. For the mayor's next event, he has ordered 100 dinner plates. Each plate is 12 inches in diameter, with gold trim along the edge. How much gold trim is needed in total to prepare the plates? Use 3.14 for pi.
A) 4748 inches
B) 3784 inches
C) 2894 inches
D) 3768 inches
Answer:
D) 3768 inches
Step-by-step explanation:
Given,
No. of plates = 100
Diameter of each plate = 12inches
So, radius of each plate = 12 / 2 = 6 inches
So, circumference of each plate
[tex] = 2\pi \: r[/tex]
= 2 × 3.14 × 6 inches
= 37.68 inches
Hence, circumference of 100 plates = 100 × 37.68 inches
= 3768 inches
Hence, 3768 inches of gold trim is required (Ans)
Find the equation of the line which passes through (0,8) and (1,12)
Answer:y =4x + 8
Step-by-step explanation:
X-0/0-1 = y-8/8-12
Or,-4x = -y +8
So, y-4x = 8
Find the bank discount and proceeds using ordinary interest for a loan to michelle anders for 7,200 at 8.25% annual simple interest from august 8 to november 8
Answer:
$145.5
Step-by-step explanation:
Period, t = August 8.to November 8 = 3 months
Simple interest formula :
A = P(1 + rt)
A = final amount =. 7200
7200 = P(1 + (0.0825 * 3/12))
7200 = P(1 + 0.020625)
7200 = P(1.020625)
7200 = 1.020625P
P = 7200 / 1.020625
P = 7054.5009
Bank discount :
A - P
7200 - 7054.5009
= $145.4991
= $145.5
