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[tex] \binom{ | - 18 \: \: \: \: \: - 8| }{ |10 \: \: \: \: \: \: \: \: \: \: \: \: \: \: 18| } = \\ [/tex]
[tex] - 18 \times18 - ( - 8 \times 10) = [/tex]
[tex] - 324 + 80 = - 244[/tex]
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
Answer:
D
Step-by-step explanation:
Edge
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:
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]
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.
(10 points)determine which one is an right angle
Answer:
Number 7.
since it makes an L shape, and has a 90° angle
Alonzo wrote the equation x=2+4y-5 solve for y
hi
if x= 2+4y-5 then x-2 +5 = 4y so y = (x-2+5) /4 = ( x+3) /4
conclusion y = (x+3)/4
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:
Find the derivative of cos^4(5x^2)
Answer:
[tex]\displaystyle \frac{dy}{dx} = -40x \sin (5x^2) \cos^3 (5x^2)[/tex]
General Formulas and Concepts:
Calculus
Differentiation
DerivativesDerivative NotationDerivative Property [Multiplied Constant]: [tex]\displaystyle \frac{d}{dx} [cf(x)] = c \cdot f'(x)[/tex]
Basic Power Rule:
f(x) = cxⁿf’(x) = c·nxⁿ⁻¹Derivative Rule [Chain Rule]: [tex]\displaystyle \frac{d}{dx}[f(g(x))] =f'(g(x)) \cdot g'(x)[/tex]
Step-by-step explanation:
Step 1: Define
Identify
[tex]\displaystyle y = \cos^4 (5x^2)[/tex]
Step 2: Differentiate
Basic Power Rule [Derivative Rule - Chain Rule]: [tex]\displaystyle y' = 4 \cos^3 (5x^2)[\cos (5x^2)]'[/tex]Trigonometric Differentiation [Derivative Rule - Chain Rule]: [tex]\displaystyle y' = 4 \cos^3 (5x^2) \sin (5x^2) (5x^2)'[/tex]Basic Power Rule [Derivative Property - Multiplied Constant]: [tex]\displaystyle y' = -40x \sin (5x^2) \cos^3 (5x^2)[/tex]Topic: AP Calculus AB/BC (Calculus I/I + II)
Unit: Differentiation
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.
https://brainly.com/question/15016913
#SPJ2
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
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 :)
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
Due today at 12:59!!!!!
Answer: Im confused?
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:
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,
https://brainly.com/question/20785664
#SPJ2
The count of bacteria in a culture is 10 and doubles every 20 minutes. Find the population size after 11 hours. Can someone explain how to solve this?
Since you asked how to solve this, I will put the answer at the bottom.
You might not think the same way as I but I think in steps.
(1) Calculate how many times the bacteria divide in eleven hoursThe bacteria divide every 20 minutes, and will therefore divide three times every hour, 60/20 = 3.
If the bacteria grow for eleven hours, each bacterium will divide 3 times per hour × 11 hours = 33 times.
(2) Add the orginial size of bacteria into the equation(This part is edited)
(orginial size)*2^number of divisions
10*[tex]2^{33\\}[/tex]
=85899345920
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
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.
A car-carrier trailer weighs 35,000 pounds when empty. The driver loads 7 cars on the trailer. The cars are identical except for color. The weight of the loaded trailer is 50,855 pounds. The maximum vehicle weight allowed on U.S. highways is 80,000 pounds. What number best describes the weight of one car?
Answer:
Each car weighs 2,265 pounds
Step-by-step explanation:
Given that the car carrier weighs 35,000 pounds when empty, that is, without cars, and that loading 7 cars its weight is 50,855 pounds, the difference between both values implies the weight of the 7 cars together, which is determined through the following calculation:
50,855 - 35,000 = X
15.855 = X
Thus, the weight of the 7 cars together is 15,855 pounds. In turn, the weight of each particular car is determined from the following division:
15.855 / 7 = X
2,265 = X
Therefore, each car weighs about 2,265 pounds.
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)
What is the missing number?
Question 4 options:
Answer:
i dont see it
Step-by-step explanation:
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
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!!
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"
Multiplying and Dividing Radicals
Simplify the following expressions.
If 5 workers complete one task in 7 days, then how many days will 7 workers take to complete the same task?
Answer: 5 days
Step-by-step explanation:
5*7=35 - means the total amount of the days to complete the job by 1 worker is 35 days
So 7 workers can do this job in
35:7=5 days
3{[3(9 – 2)] + [7(8 – 1)]}
Which of the following numbers can be expressed as repeating decimals? (15 points!!!)
2 over 9 , 3 over 8 , 5 over 6 , 5 over 4
3 over 8 and 5 over 6
2 over 9 and 5 over 6
2 over 9 and 5 over 4
3 over 8 and 5 over 4
PLEASE HELP
the sum of two numbers is 45 and the different is 21.what are the numbers
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.