If
[tex]\\ \rm\Rrightarrow 4^x-4^{x-1}=24,[/tex]
then (2x)^x equals
(a) 5√5
(b) √5
Note:-
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[tex]\\ \sf\Rrightarrow 4^x-4^{x-1}=24[/tex]
[tex]\\ \sf\Rrightarrow 4^x-4^x4^{-1}=24[/tex]
[tex]\\ \sf\Rrightarrow 4^x(1-0.25)=24[/tex]
[tex]\\ \sf\Rrightarrow 4^x(0.75)=24[/tex]
[tex]\\ \sf\Rrightarrow 4^x=32[/tex]
[tex]\\ \sf\Rrightarrow 2^{2x}=2^5[/tex]
[tex]\\ \sf\Rrightarrow 2x=5[/tex]
[tex]\\ \sf\Rrightarrow (2x)^x=(5)^x[/tex]
Answer:
Step-by-step explanation:
Let [tex]4^{x}=y[/tex], then we obtain that:
[tex]4^{x}-4^{x-1}=24\rightarrow y-(y/4)=24 \rightarrow \frac{3y}{4}=24[/tex]
So, we can get: [tex]3y=96 \rightarrow y = 96/3 = 32[/tex]
Now, because [tex]y=4^{x}=32[/tex], we can obtain the value of x as follows:
[tex]4^{x}=(2^{2})^{x}=(2^{5}) \rightarrow 2x = 5 \rightarrow x=5/2[/tex]
Then [tex](2x)^{x}=(2(5/2))^{5/2}=5^{5/2}=\sqrt{5^{5}}=25\sqrt 5[/tex]
There is no answer in your question.
Please help, WILL GIVE BRAINLEST IF U SHOW UR WORK IF U DONT SHOW WORK ILL REPORT
Answer:
Hello!!! Princess Sakura here ^^
Step-by-step explanation:
Ok so since this is an area question we should begin with writing the correct formula for it. This says it's rectangular pool so we'll be using our rectangle formula, which is...
[tex]A=lw[/tex]
Now we plug in what we know...
[tex]length=30\frac{1}{3} \\width=12\frac{1}{2}[/tex]
Now we solve...
[tex]A=lw\\A=(30\frac{1}{3})(12\frac{1}{2})\\A=379\frac{1}{6}[/tex]
So the area is.... [tex]379\frac{1}{6}[/tex] feet ²
or if you want an improper fraction....[tex]\frac{2275}{6}[/tex] feet²
or a decimal... [tex]379.1666667=379.17[/tex] feet².
Pls help you guys are so smart howww
Answer:
3. (-10)^2
Answer: 100
Answer is B.
4. 12,400,000
Answer: 1.24 * 10^7
Answer is A.
I hope this can help you advance to the other questions!
Answer:
3) b. 100
4) a. 1.24 x 10 ^7
Step-by-step explanation:
-10 x -10 = 100
1.24 x 10 ^7 = 12,400,000
please help me asap
Answer: C. perpendicular to Earth and the sun
Step-by-step explanation: I studied astronomy. :)
y = x + 1 4 y=-12x-7 -2y=x+14
[tex]x = y - 14[/tex]
[tex]x = - \frac{y}{12} - \frac{7}{12} [/tex]
[tex]x = - 2y - 14[/tex]
Answer:
Go on brainly,cymath,calculator soup to find the answer
Step-by-step explanation:
-9 - (-2) as an addition problem
Answer:
-7
Step-by-step explanation:
-9 - (-2)
If there is a negative sign in front of a negative number in parenthesis, then that makes it a positive number.
-9 + 2 = -7
Please... Solve this: the bearing of a tree from a house is 295°. Find the bearing of the house from the tree.
Given parameters:
Bearing of the tree from the house = 295°
Unknown:
Bearing of the house from the tree = ?
Solution:
This is whole circle bearing problem(wcb). There are different ways of representing directions from one place to another. In whole circle bearing, the value of the bearing varies from 0° to 360° in the clockwise direction.
To find the back bearing in this regard, simple deduct the forward bearing from 360°;
Backward bearing = 360° -295°
= 65°
The bearing from house to the tree is 65°
-12 + (-3) • 3 - 8 = 4
Answer:- 29
false
Step-by-step explanation:
How to do this question
Answer:
Check your mathematics Text book...Then you can see heading True conditional statement..Check the example question then i am sure you will get the correct answer...
GIVING BRAINLEST
A flower shop is creating arrangements that need exactly 3 roses each. There are 23 roses available. How many arrangements can the flower shop make? Then select your reasoning. (2 answers)
Group of answer choices
7
8
the remainder is 2, so you can make another arrangement
the remainder is 2, so you do not have enough roses for another arrangement
Answer:
7
Step-by-step explanation:
the remainder is 2, so you do not have enough roses for another arrangement
2. Ken combined a triangle and a trapezoid to
make a parallelogram. If the area of the triangle
is 12 in. 2 and the area of the trapezoid is 24 in.2
what is the area of the parallelogram? Explain.
Answer:
36 in²Step-by-step explanation:
area of a triangle = 12 in²
area of a trapezoid = 24 in²
just combine the two shape (see image)
then add the area.
total area = 12 + 24
= 36 in²
Round 93,411 to nearest tens
Step-by-step explanation:
Round 93,411 to nearest tens
93,411
93,410
sorry if wrong
Find the solution set to the given equation. Answer only in numbers.
x(x + 6) - 2(x+6)
[tex]\huge\text{Hey there!}[/tex]
[tex]\mathsf{x(x + 6) - 2(x + 6)}\\\mathsf{\rightarrow x(x) + x(6) - 2(x) - 2 (6)}\\\mathsf{\rightarrow x(x) + 6(x) - 2(x) - 2(6)}\\\mathsf{\rightarrow x^2 + 6x - 2x - 12}\\\large\text{COMBINE the LIKE TERMS}\\\mathsf{\rightarrow x^2 + (6x - 2x) - 12}\\\mathsf{\rightarrow x^2 + 4x - 12}\\\huge\textbf{Therefore, your answer is: \boxed{\mathsf{x^2 + 4x - 12}}}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040}[/tex]Pearson College owns a tabulator that can process registration data in 6 hours. Wanting to speed up the
processing, the school authorized the purchase of a second tabulator that can do the job in 8 hours. How many hours will it take the two tabulators working together to process all the data? (24/7 hr)
Answer:
∞
Step-by-step explanation:
Let both be x and y
6x=8y=>3x=4y=>x=4y/3So
[tex]\\ \rm\Rrightarrow 6x+8y=1[/tex]
[tex]\\ \rm\Rrightarrow 6(4y/3)+8y=1[/tex]
[tex]\\ \rm\Rrightarrow 8y+8y=1[/tex]
[tex]\\ \rm\Rrightarrow y=1/16[/tex]
[tex]\\ \rm\Rrightarrow y=0.0625[/tex]
Someone help me please
Answer:
The answer to this question is due to the algebraic equality of the equation
Step-by-step explanation:
[tex]2(m - n) = 7 = y[/tex]
[tex]y = \frac{7}{2} [/tex]
That is, option C
To repay a loan Sue makes weekly payments for 5 years. How many payments does she
make?
O A. 57
B. 260
OC. 52
D. 5
Answer:
we need more info.
Step-by-step explanation:
1111111x2000 pls help
What is the domain of the function Y = 3 In x graphed below?
Marley makes 18 muffins for Millie, and another 18 muffins for August. And then Marley makes 18 for herself! Then, if Marley has to make 80 muffins for a church, how many muffins are in total? (all muffins, millies, augusts, marleys, and for thr church)
Answer:
Step-by-step explanation:
18 muffins for Millie,
18 muffins for August,
18 muffins for herself,
80 muffins for a church,
18+18+18+80 = 134 muffins in total
Describe the five-step procedure to graphing logarithmic functions in your own words.
A logarithm function is a function that uses the log keyword, and it is the opposite of an exponential function
The procedure to graph a logarithm functionAssume the logarithm function is:
[tex]y = a\log_b(x - h) + k[/tex]
Where b represents the base of the function.
Step 1The first step is to determine the vertical asymptote of the function
The vertical asymptote of [tex]y = a\log_b(x - h) + k[/tex] is:
[tex]x = h[/tex]
Step 2The second step is to determine the x-intercepts
To do this, we set the function to 0
i.e. [tex]a\log_b(x - h) + k = 0[/tex]
Step 3The next step is to determine the y-intercepts
To do this, we set the x to 0
i.e. [tex]y = a\log_b(0- h) + k[/tex]
Step 4The next step is to plot the vertical asymptote, the intercepts and few points on the graph
Step 5Lastly the points that were plotted on the graph must be connected
Read more about logarithm function at:
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Which doubles fact helps you solve 8+7=15? Write the number sentence.
Answer:
8+8, & 7+7.
Step-by-step explanation:
They help because you can add 8+8 and get 16, and just subtract 1. When you add 7+7 you get 14, and you add 1
Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the correct position in the answer box. Release your mouse button when the item is placed. If you change your mind, drag the item to the trashcan. Click the trashcan to clear all your answers.
Given a regular square pyramid with RS = 6 and PX = 4, find the following measure.
QS =
Answer:
The volume of a prism is given by ...
V = Bh
Step-by-step explanation:
Here, the base is an equilateral triangle with side length 3 in. The area of such a triangle is given by
A = (√3)4*s²
where s is the side length.
Your triangular prism has a base area of ...
B = (√3)/4*(3 in)² = (9/4)√3 in²
so the volume is
V = ((9/4)√3 in²)(6 in)
V = (27/2)√3 in³
V ≈ 23.383 in³
:)
at the movies, la quinta paid for drinks and popcorn for herself and her two children. she spend twice as much on popcorn as on drinks. if her total bill came to $17.94, how much did she spend on drinks and how much did she spend on popcorn?
Answer:
Step-by-step explanation:
let the amount spent on popcorn be x and amount spent on drinks be y
If the total bill paid is $17.94, then x+y = $17.94
If she spend twice as much on popcorn as on drinks, then y = 2x
Substitute y = 2x into the original equation
x+y = $17.94
x + 2x = $17.94
3x = $17.94
x = $17.94/3
x = $5.98
Since y = 2x
y = 2($5.98)
y = $11.96
Therefore she spent $5.98 on popcorn and $11.96 on drinks
A baby girl weighs 7.16 pounds at birth. By the time she is 1 year of age, her weight has tripled.
How much does she weigh at her 1 year checkup?
Answer:
7.16 x 3 = 21.48
She weighs 21.48 pounds at her 1 year checkup.
Hope this helps!
Answer:
21.48 pounds
Step-by-step explanation:
7.16 x 3 = 21.48
is 9x7=7x9 a commutative preoperty
Answer:
Yes, The commutative property of multiplication is: a × b = b × a. In short, in commutative property, the numbers can be added or multiplied to each other in any order without changing the answer. Let us see some examples to understand commutative property. Example 1: Commutative property with addition.
No, the equation 9 x 7 = 7 x 9 does not demonstrate the commutative property of multiplication.
The commutative property of multiplication states that the order of the numbers being multiplied does not affect the result; you can switch the order, and the product will remain the same.
In the given equation, both sides evaluate to 63 (9 x 7 = 63 and 7 x 9 = 63), so it might appear to satisfy the commutative property at first glance. However, this equation represents a single instance where the numbers used happen to have the same product. The commutative property should hold true for all pairs of numbers, which is not the case here.
For example, switching the order for 3 x 5 and 5 x 3 results in different products (3 x 5 = 15 and 5 x 3 = 15). Since the equation 9 x 7 = 7 x 9 does not hold true for all pairs of numbers, it does not illustrate the commutative property of multiplication.
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rate of change is the same as will mark brainiest
Answer:
slope
Step-by-step explanation:
Answer:
slopeStep-by-step explanation:
use the formula: y = mx + b
where:
y = how far up the line goes
m = slope or gradient
x = how far along
b = Y-intercept
After a teacher handed out m packs of notebooks with c notebooks in each pac,he has
13 notebooks left. How many notebooks did he have?
please please please help
Answer:
It's The following options -
Step-by-step explanation:
A
B
C
D
Are correct
I need helpp plss and thanks
Answer:
1.63
Step-by-step explanation:
-31 + 7 = -24
[tex]\sqrt{-24}[/tex] = 4.9
4.9/3 = 1.63 (rounded down from 1.6333333)
Answer:
[tex]x = 2 \sqrt{2} i \: or \: x = - 2 \sqrt{2} i[/tex]
Step-by-step explanation:
• Add 7 to both sides.
[tex]3x {}^{2} - 7 + 7 = - 31 + 7[/tex]
• Simplify
[tex]3x {}^{2} = - 24[/tex]
• Divide both sides by 3
[tex] \frac{3x {}^{2} }{3} = \frac{ - 24}{3} [/tex]
• Simplify
[tex]x {}^{2} = - 8[/tex]
• Find the solution
[tex]x = \sqrt{ - 8} \: and \: x = - \sqrt{ - 8} [/tex]
• Simplify
[tex] \sqrt{ - 8} = 2 \sqrt{2i} [/tex]
[tex] - \sqrt{ - 8} = - 2 \sqrt{2i} [/tex]
ANSWER:
[tex]x = 2 \sqrt{2} i \: and \: x = - 2 \sqrt{2} i[/tex]
Help with trigonometry.
(Ignore the writing I still need all of them)
Applying the trigonometry ratio and rationalization, the missing lengths are:
1. x = 12/√3; y = 2√3
2. x = 5√2; y = 5√2
3. b = 24
4. 4√3
5. 5√3
What are the Trigonometry Ratio?The trigonometry ratios are represented as follow:
SOH is sin ∅ = opp/hypCAH is cos ∅ = adj/hypTOA is tan ∅ = opp/adj.1. To find x, apply SOH:
opp = 6
hyp = x
adj = y
∅ = 60°
Equation:
sin 60 = 6/x
x = 6/sin 60
x = 6/√3/2 (sin 60 = √3/2)
x = 6 × 2/√3
x = 12/√3
Rationalize
x = 12/√3 × √3 /√3
x = 12√3/3
x = 4√3
To find y, apply TOA:
tan 60 = 6/y
y = 6/tan 60
y = 6/√3 (tan 60 = √3)
Rationalize
y = 6/√3 × √3 /√3
y = 6√3 / 3
y = 2√3
2. To find x, apply SOH:
opp = x
hyp = 10
adj = y
∅ = 45°
Equation:
sin 45 = x/10
x = (10)(sin 45)
x = 10 × 1/√2 (sin 45 = 1/√2)
x = 10/√2
Rationalize
x = 10/√2 × √2 /√2
x = 10√2/2
x = 5√2
To find y, apply CAH:
cos 45 = y/10
y = (10)(cos 45)
y = 10 × 1/√2 (cos 45 = 1/√2)
y = 10/√2
Rationalize
y = 10/√2 × √2 /√2
y = 10√2/2
y = 5√2
3. To find b, apply Pythagorean theorem:
b = √(25² - 7²)
b = 24
4. 12/√3
Rationalize
12/√3 × √3 /√3
12√3/3
4√3
5. 15/√3 × √3 /√3
15√3 /3
5√3
Learn more about trigonometry ratios on:
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