Answer:
A
Step-by-step explanation:
Answer:
10
Step-by-step explanation:
5 times 4 is 20 divided by 2 is 10 hope this helps
3(2^2x+3)-5(2^x+2)-156=0 in logarithm form
Answer:12x-157-5.2x
Step-by-step explanation:Like this or you want us to solve it lol
The given equation can be written in logarithmic form as xlog(2) + log(3 × 2ˣ - 5) = log(157).
What is Logarithm?Logarithm function is defined as the inverse of the exponential function.
If a^(b) = c, then b = log(c) at the base of a.
Logarithm of any number is always positive.
For negative numbers, the logarithm are complex numbers.
The given equation is [tex]3(2^{2x}+3)-5(2^{x} + 2)-156 = 0[/tex]
Suppose 2ˣ be t, then the equation can be rewritten as,
3(t² + 3) - 5(t + 2) - 156 = 0
⇒ 3t² - 5t = 157
⇒ t(3t - 5) = 157
Take logarithm both sides to get,
log(t(3t - 5)) = log(157)
Use the property log(ab) = log(a) + log(b) to get,
log(t) + log(3t - 5) = log(157)
Substitute t = 2ˣ as and apply log(aⁿ) = nlog(a) as,
xlog(2) + log(3 × 2ˣ - 5) = log(157)
Hence, the logarithm form of the given equation is obtained as xlog(2) + log(3 × 2ˣ - 5) = log(157).
To know more about logarithm click on,
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Change the radical √5/√8
into simplest radical form a/b √c, where a, b, and c are all integers.
Answer:
[tex]\frac{\sqrt{5}}{\sqrt{8}}=\frac{1}{4}\sqrt{10[/tex]
Step-by-step explanation:
Given
[tex]\frac{\sqrt{5}}{\sqrt{8}}[/tex]
Required
Express in its simplest form
To do this, we simply radicalize the given expression by multiplying the expression by the denominator over the denominator.
In other words:
[tex]\frac{\sqrt{5}}{\sqrt{8}} * \frac{\sqrt{8}}{\sqrt{8}}[/tex]
[tex]\frac{\sqrt{5}*\sqrt{8}}{\sqrt{8}*\sqrt{8}}[/tex]
[tex]\frac{\sqrt{40}}{\sqrt{64}}[/tex]
Take positive square root
[tex]\frac{\sqrt{40}}{8}[/tex]
Express 40 as 4 * 10
[tex]\frac{\sqrt{4*10}}{8}[/tex]
[tex]\frac{\sqrt{4}*\sqrt{10}}{8}[/tex]
[tex]\frac{2*\sqrt{10}}{8}[/tex]
Simplify:
[tex]\frac{1*\sqrt{10}}{4}[/tex]
[tex]=\frac{1}{4}\sqrt{10[/tex]
Hence:
[tex]\frac{\sqrt{5}}{\sqrt{8}}=\frac{1}{4}\sqrt{10[/tex]
Let f(x) = 5x + 4 and g(x) = x2 - 4. Find the following.
(gof)(-2)
Answer:
(g ○ f)(-2) = 32
Step-by-step explanation:
Given
[tex]f(x)=5x+4[/tex]
[tex]g\left(x\right)=x^2-4[/tex]
We have to evaluate (g ○ f)(-2), so first we will evaluate f(-2) then use this value to evaluate g(x).
Finding f(-2)
[tex]f(x)=5x+4[/tex]
[tex]f(-2) = 5(-2)+4[/tex]
[tex]= -10 + 4[/tex]
[tex]= -6[/tex]
Then
[tex]g\left(-6\right)=\left(-6\right)^2-4[/tex]
[tex]=36-4[/tex]
[tex]= 32[/tex]
Therefore,
(g ○ f)(-2) = 32
Brainliest PLZ HELP!!! Explain 36. ABC is an isosceles triangle with vertex angle B. AB = 5x – 28, AC = x+5 and BC = 2x + 11. Find
the length of the base.
a. 13
b. 37
c. 18
d. 39
Answer:
the answer is 37take any 2 sides and equate it
then u will get the value of x then then take the aside and put the value of x u will get the answer
A gallon of water weighs 8.34 pounds. The Rhoads family has a round, 12-foot diameter, above-ground pool. How much weight is added to the pool when it is filled with 3, 205 gallons of water?
Answer:
The amount of weight added is 26,729.7 pounds
Step-by-step explanation:
Here, we are told that a gallon of water weighs 8.34 pounds
Now, we want to find the weight of 3,205 gallons of water
Mathematically, that would be;
3,205 * 8.34 = 26,729.7 pounds
Which of the following is not an example of using the distributive property to multiply 12 times 22?
O 12(20 + 2)
o 22(10 + 2)
O 10(2.22)
Answer:
The third one.
Step-by-step explanation:
Both A and B are correct and should give you the same answer when you apply the distributive property.
12 * 20 + 2 * 12 = 240 + 24 = 264
22(10) + 22*2 = 220 + 44 = 264
The third one just give anything near 264.
Due today at 12:59!!!!!
Answer: Im confused?
Step-by-step explanation:
Write in terms of i. Simplify as much as possible.
-√-45
Answer:
I got - 6.70820393 i
Step-by-step explanation:
let me know if I am wrong :)
Multiplying and Dividing Radicals
Simplify the following expressions.
hellllp me plllllllzzzzzzzz
Answer:
x = 4
QS = 20
Step-by-step explanation:
PS is all the numbers added together.
PQ + QR + RS = PS
(PLUG IN)
8 + 3x - 1 + 9 = 28 (collect like terms)
3x + 16 = 28 (subtract 16 on both sides)
3x = 12 (divide by 3 on both sides)
x = 4
QR + RS = QS
(PLUG IN)
3(4) - 1 + 9 = QS (distribute)
12 - 1 + 9 = QS (collect like terms)
20 = QS
Hope this helps ya!!
the sum of two numbers is 45 and the different is 21.what are the numbers
A graphic designer worked 20 hours last week. Their hourly rate is 19.52 per hour. How much money did they make last week before taxes
Answer:
20 * 19.52 = 390.40
Thank you and please rate me as brainliest as it will help me to level up
In what layer are convection currents found?
Continental crust
Inner core
Asthenosphere
Oceanic crust
Answer:
c
Step-by-step explanation:
Angle measures and segment lengths. Algebra Find the value of each variable.
Answer:
x = 60°
Step-by-step explanation:
According to the Outside Angles Theorem, the angle formed by the two tangents in the diagram above is equal to half of the difference of the measures of two arcs that are intercepted.
Therefore:
[tex] x = \frac{1}{2}(360 - 120) - 120) [/tex]
[tex] x = \frac{1}{2}(240 - 120) [/tex]
[tex] x = \frac{1}{2}(120) [/tex]
x = 60°
Can someone help me solve 1+1????
25 POINTS! factor the trinomial:[tex]x^2-2x-2[/tex]
( x − 1 + i ) ( x − 1 − i )
Step-by-step explanation:
_____________ (x-1+i)(x-1-i)
(10 points)determine which one is an right angle
Answer:
Number 7.
since it makes an L shape, and has a 90° angle
PLSSSS HELPPP I WILLL GIVEEE BRAINLIESTTTT!!!!!!!!!!!!!!!!!
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PLSSSS HELPPP I WILLL GIVEEE BRAINLIESTTTT!!!!!!!!!!!!!!!!!
PLSSSS HELPPP I WILLL GIVEEE BRAINLIESTTTT!!!!!!!!!!!!!!!!!
Answer:
yes
Step-by-step explanation:
Answer:
Yes
Step-by-step explanation:
My first letter is in place and also in circus
My second's in rose but not in rise
My third's in command and also in plumber
My fourth's in point and also in spear
My fifth's in lane but not in lonely
My sixth's in Sunday and also in ring
My seventh's in cyclone and also in pastry
What am I?
Step-by-step explanation:
company
answer is company hope it helps
Answer: company
Step-by-step explanation:
Which triangle is a translation of the orange triangle?
Answer:
5,6 meaning the answer is 4
Step-by-step explanation:
Step 3 out of 5:
Multiply
7/3 times 3/2=
7/3 times 1/2=
Answer:
Input Data :
Fraction A = 8383
Fraction B = 7272
Objective :
Find the product of fractions?
Formula :
Solution :
83×7283×72 = ?
Mutiply both numerators & denominators
83×7283×72= 8×73×28×73×2 = 566566
Simplify above fraction 566566
Common divisor of (56, 6) is 2
Divide both numerator & denominator by gcd value 2
566=56÷26÷2=283566=56÷26÷2=283
83×72=283
Please help ASAP!!!!!!
9514 1404 393
Answer:
a) correct
b) needs parentheses: -1, (1±i√2)/3
Step-by-step explanation:
a) You can factor by grouping:
(x³ -2x²) -(5x -10) = x²(x -2) -5(x -2) = (x² -5)(x -2)
Roots are ±√5, 2.
__
b) The sum of odd-degree coefficients is equal to the sum of even-degree coefficients (3-1 = 1+1), so one root is x=-1. Factoring out that leaves the quadratic factor ...
3x³ +x² -x +1 = (x +1)(3x² -2x +1)
The quadratic formula can be used on the quadratic factor to find its roots:
x = (-(-2) ±√((-2)²-4(3)(1)))/(2(3)) = (2 ±√-8)/6 = (1 ±√-2)/3
Roots are -1, (1 ±i√2)/3.
Sally walks away from her
house. She walks 25 m west
then 15 m south. How far, in
meters, is she from her house?
Answer:
40 meters
Step-by-step explanation:
Add simplify the answer and write it as a mixed number 7 3/7 + 3 3/5
You should first make 7 3/7 and 3 3/5 into improper fractions that would be 52/7 and 18/5 then we can add but we have to make them equivelent in order to do so.
52/7 = 260/35
18/5 = 126/35
Add 260 and 126 and we will get 386/35 but remember we still have to make it a mixed number so we finally get the answer of 11 1/35
how do you solve this?
Answer:
i have no idea.....
Step-by-step explanation:
Answer:
sin(5x)
Step-by-step explanation:
Recall that the half angle identity relates the sine of half an angle to the square root of one minus the cosine of the angle as shown below:
[tex]sin(\frac{\theta}{2} )=+/-\sqrt{\frac{1-cos(\theta)}{2} }[/tex]
therefore, in our case:
[tex]sin(5\,x )=+/-\sqrt{\frac{1-cos(10\,x)}{2} }[/tex]
so, make sure you type the expression : "sin(5x)" in the provided text-box.
3. Repeat this process to find the width and height of a newer 48-inch television whose
screen has an aspect ratio of 16:9.
Do not include units in your answer - write only the Mumber rounded to the nearest tenth
What is the height?
Answer:
23.5"Step-by-step explanation:
Please see attached a sketch of the television
the size of a television is described by the length of its diagonal in inches.
in this case, the diagonal of the television is 48"
we are told that the aspect ratio is 16:9
hence the dimension of the television as seen from the draft is
length= 16x
height=9x
Applying Pythagoras theorem
(16x)^2+(9x)^2= 48^2
256x^2+81x^2=2304
337x^2=2304
divide both sides by 337 we have
x^2=2304/337
x^2=6.8367
x=√6.8367
x=2.6
What is the height
H=9x
=9(2.6)
=23.5"
1.The annual salary of teachers in a certain state X has a mean of $54,000 and standard deviation of σ = $5,000. What is the probability that the mean annual salary of a random sample of 64 teachers from this state is less than $52,000?The mean of the sampling distribution of sample of means is $52,000 or $54,000 and the standard deviation is Select an answer $625 or $5000 . 2, The z-score for this problem is Select an answer .4 or -.4 or 3.2 or -3.2 . 3.What is the probability of that the mean annual salary of a random sample of 64 teachers from this state is less than $52,000?A) .0007B) .9993C) .3446D) .6554
Answer:
1
Step-by-step explanation:
The value of z-score will be –0.4. Then the correct option is B. The probability will be 0.34458. Then the correct option is C.
What is the z-score?The z-score is a statistical evaluation of a value's correlation to the mean of a collection of values, expressed in terms of standard deviation.
The z-score is given as
z = (x – μ) / σ
Where μ is the mean, σ is the standard deviation, and x is the sample.
The annual salary of teachers in a certain state X has a mean of $54,000 and standard deviation of σ = $5,000.
The probability that the mean annual salary of a random sample of 64 teachers from this state is less than $52,000 will be
The mean of the sampling distribution of sample of means is $54,000 and the standard deviation is select an answer $5000.
Then the z-score will be
z = (52000 – 54000) / 5000
z = –2000 / 5000
z = –0.4
Then the correct option is B.
Then the probability will be
P(x < 52000) = P(z < 0.-4)
P(x < 52000) = 0.34458
Then the correct option is C.
More about the z-score link is given below.
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3{[3(9 – 2)] + [7(8 – 1)]}
Two pounds of grapes costs $6 as shown in the table. At this rate, how much does 1 pound of grapes cost?
Answer:
1 pound of grapes cost 3$
Step-by-step explanation:
If 2 pounds of grape cost 6$ then 1 pound of grape cost 3$ Since 1 is half of 2 and 3 is half of 6
Choose the graph that matches the inequality y < –2x + 4.
Answer:
C
Step-by-step explanation:
You know that if its < or >, the line is - - - -, not a fully dark line.
So it would be either A or C
Plot in some numbers for x
Less than would be to the left.
So it wouldn't be A, leaving us with C
Answer:
I belive this would be C
Step-by-step explanation: