Answer:
$525
Step-by-step explanation:
To find the commision of the salesman, multiply the (commission rate over 100) by the sale amount.
Commission rate: 5%, so 5/100 = 0.05
then, 0.05*10500 = $525
The figure shows a utility pole with an electrical line and a telephone line.
The angled wire is a tension wire.
Complete the table: for each angle pair given, identify the transversal and classify the angle pair. (Hint: Think of the utility pole as a line for these problems.)
Note: I’ll give you a lot of points for this
Answer:
Step-by-step explanation:
1/5(x + 0.5) + 5.24 = 3/2x + 7/10(x + 2.2)
Solve for x
Answer:
x=19/10
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
1/5(x+0.5)+5.24=3/2x +x+7/10(x+2.2)
(1/5)(x)+(1/5)(0.5)+5.24=3/2x+(7/10)(x)+(7/10)(2.2)(Distribute)
1/5x+0.1+5.24=3/2x+7/10x+1.54
(1/5x)+(0.1+5.24)=(3/2x+7/10x)+(1.54)(Combine Like Terms)
1/5x+5.34=11/5x+1.54
Step 2: Subtract 11/5x from both sides.
1/5x+5.34−11/5x=11/5x+1.54−11/5x
−2x+5.34=1.54
Step 3: Subtract 5.34 from both sides.
−2x+5.34−5.34=1.54−5.34
−2x=
−19/5
Step 4: Divide both sides by -2.
−2x=−19/5
x= 19/10
Answer:
x= 19/10
If y=cosh(4tanh¯¹x) then dy/dx=
If you're like me and don't remember hyperbolic identities (especially involving inverse functions) off the top of your head, recall the definitions of the hyperbolic cosine and sine:
[tex]\cosh(x) = \dfrac{e^x + e^{-x}}2 \\\\ \sinh(x) = \dfrac{e^x - e^{-x}}2[/tex]
Then differentiating yields
[tex]\dfrac{\mathrm d(\cosh(x))}{\mathrm dx} = \dfrac{e^x-e^{-x}}2 = \sinh(x) \\\\ \dfrac{\mathrm d(\sinh(x))}{\mathrm dx} = \dfrac{e^x+e^{-x}}2 = \cosh(x)[/tex]
so that by the chain rule, if
[tex]y = \cosh\left(4\tanh^{-1}(x)\right)[/tex]
then
[tex]\dfrac{\mathrm dy}{\mathrm dx} = \dfrac{\mathrm d\left(\cosh\left(4\tanh^{-1}(x)\right)\right)}{\mathrm dx} = \sinh\left(4\tanh^{-1}(x)\right) \dfrac{\mathrm d\left(4\tanh^{-1}(x)\right)}{\mathrm dx}[/tex]
Now, let [tex]z=4\tanh^{-1}(x)[/tex], so that (•) [tex]\tanh\left(\frac z4\right) = x[/tex].
Recall that
[tex]\tanh(x) = \dfrac{\sinh(x)}{\cosh(x)} = \dfrac{e^x-e^{-x}}{e^x+e^{-x}}[/tex]
and so the derivative of tanh(x) is
[tex]\dfrac{\mathrm d(\tanh(x))}{\mathrm dx} = \dfrac{(e^x+e^{-x})(e^x+e^{-x})-(e^x-e^{-x})(e^x-e^{-x})}{(e^x+e^{-x})^2} \\\\ = \dfrac{4\cosh^2(x)-4\sinh^2(x)}{4\cosh^2(x)} \\\\ = 1-\tanh^2(x) = \mathrm{sech}^2(x)[/tex]
where the last equality follows from the hyperbolic Pythagorean identity,
[tex]\cosh^2(x)-\sinh^2(x) = 1 \implies 1-\tanh^2(x) = \mathrm{sech}^2(x)[/tex]
Differentiating both sides of (•) implicitly with respect to x gives
[tex]\dfrac{\mathrm d\left(\tanh\left(\frac z4\right)\right)}{\mathrm dx} = \dfrac{\mathrm d(x)}{\mathrm dx} \\\\ \mathrm{sech}^2\left(\dfrac z4\right)\dfrac{\mathrm d\left(\frac z4\right)}{\mathrm dx} = 1 \\\\ \dfrac14 \mathrm{sech}^2\left(\dfrac z4\right) \dfrac{\mathrm dz}{\mathrm dx} = 1 \\\\ \dfrac{\mathrm dz}{\mathrm dx} = 4\cosh^2\left(\dfrac z4\right) \\\\ \dfrac{\mathrm dz}{\mathrm dx} = 4\cosh^2\left(\tanh^{-1}(x)\right)[/tex]
So, the derivative we want is the somewhat messy expression
[tex]\boxed{\dfrac{\mathrm dy}{\mathrm dx} = 4\sinh\left(4\tanh^{-1}(x)\right) \cosh^2\left(\tanh^{-1}(x)\right)}[/tex]
and while this could be simplified into a rational expression of x, I would argue for leaving the solution in this form considering how y is given in this form from the start.
In case you are interested, we have
[tex]\cosh\left(\tanh^{-1}(x)\right) = \dfrac1{\sqrt{1-x^2}}[/tex]
and you can instead work on differentiating that; you would end up with
[tex]\dfrac{\mathrm dy}{\mathrm dx} = -\dfrac{16x^3+16x}{(x^2-1)^3}[/tex]
Add 2/5 + 3/6 + 1/4 0 1 11/60 O 13/20 o 17/20 1 13/60
Answer:
Step-by-step explanation:
-(8/11)/(-3/5) = -(8/11)*(-5/3)
-(8/11)*(-5/3) = 40/33 [ or 1 7/33]
I can't interpret the rest of the question. I see:
"Add 2/5 + 3/6 + 1/4 0 1 11/60 O 13/20 o 17/20 1 13/60"
What is the value of the expression if q = 6 a n d r = 4
Answer:
66 (lmk if i'm wrong)
Step-by-step explanation:
9x6 + (16-4)
54 +12
66
what number has the prime factorization 2 6th * 5 6th show your work
How many solutions are there for this equation? Why?
Answer:
d
Step-by-step explanation:
What is the value of the expression g . (g + 1)^2 for g= 2 ?
Hello!
Answer:
g = 9
Step-by-step explanation:
(g+1)^2
Plug in 2 for g: (2+1)^2
Add 2 and 1: (3)^2
Simplify: (3 x 3)= 9
Hope this helps.
$43.54 divided by 15.5 =
Answer:
2.01
Step-by-step explanation:
Be Precise in the number 24.543, why is the value of each
4 different?
PLZZZZZ HELP THIS IS DUE BY 8:00.Fred is trying to earn $35 to buy a basketball. He has saved $11.25. He earns $2.25 per hour doing yard work for his neighbor, and he earns $7.25 per hour selling sunglasses at the mall. Will Fred have enough to buy the basketball if he works in the yard for 2 hours and at the mall for 3 hours? Use the inequality 2.25y + 7.25z + 11.25 ≥ 35.
No, because the total will be $58.75.
No, because the total will be $21.25.
Yes, because the total will be $37.50.
Yes, because the total will be $26.25.
Answer:
the answer is d (the last one)
Step-by-step explanation:
2.25 * 2 = 4.5
+
7.25 * 3 = 21.75
= 26.25
he needs 35, so it's not enough
the product of two rational numbers is 9.6 if one rational number is 66/7. find the other rational number
Answer:
0.1714
Step-by-step explanation:
just substract 9.6 from 66/7 which will give u the other rational number.
then add both the rational numbers to check ur answer.
66/7 + 0.1714 = 9.6
What is 0.579 x 10 to the power of 4
Answer:
5790
Step-by-step explanation:
Hope this helps! Pls give brainliest!
Answer:
5790
Step-by-step explanation:
0.579 × [tex]10^{4}[/tex]
Calculate 10 to the power of 4 and get 10000.
0.579 × 10000
Multiply 0.579 and 10000 to get 5790
5790
Write that down the equation for the lines that is the graphs are depicted below
PLZ HELP 20 points
Find slope of line (m)
[tex]\\ \sf\longmapsto m=\dfrac{2-0}{1-0}[/tex]
[tex]\\ \sf\longmapsto m=2[/tex]
Putting in y=mx+b
[tex]\\ \sf\longmapsto y=mx+b[/tex]
[tex]\\ \sf\longmapsto 2=2(1)+b[/tex]
[tex]\\ \sf\longmapsto 2=2+b[/tex]
[tex]\\ \sf\longmapsto b=2-2=0[/tex]
Equation of the line
[tex]\\ \sf\longmapsto y=2x[/tex]
Answer:
y = 2xStep-by-step explanation:
The line passes through the origin and holds the point A(1, 2).
This is a proportional relationship:
y = kxConsidering the coordinates of the point A:
2 = 1*k ⇒ k = 2The line is:
y = 2xMultiply. (−6/35)⋅14/27 What is the product? Enter your answer as a fraction, in simplified form, in the box.
Answer:
-4/45
Step-by-step explanation:
[tex]\dfrac{-6}{35}*\dfrac{14}{27}=\dfrac{-6}{5}*\dfrac{2}{27}[/tex]
14 and 35 are given by 7th table.
[tex]= \dfrac{-2}{5}*\dfrac{2}{9}[/tex]
Now , 6 and 27 are given by 3rd table
[tex]=\dfrac{-4}{45}[/tex]
Answer:
-4/45
Step-by-step explanation:
2.03 Quiz: Multiply Signed Fractions
How to find t=3,500•(1.10)^100, round to the nearest whole number
Answer:
To find 3,500 by near to 3,550
Step-by-step explanation:
the nearest number of 3,500 is 3,500
Find the reciprocal of 4
Answer:
reciprocal of 4 = 1/4
Step-by-step explanation:
By definition, a reciprocal of a/b = b/a.
Since 4 is the same as 4/1, then it's reciprocal must be 1/4.
Answer:
1/4
Step-by-step explanation:
because 4 = 4/1
reciprocal means to flip it upside down 4/1 = 1/4
In a class of 28 students, 12 students packed their lunch. At this rate, how many students out of 336 would be expected to pack their lunch?
Answer:
144 students
Step-by-step explanation:
12/28=3/7
3/7*336=144
Unit rate is the quantity of an amount of something at a rate of one of another quantity.
If out of 28 students, 12 students packed their lunch.
The number of students who packed their lunch out of 336 students is 144 students.
What is a unit rate?It is the quantity of an amount of something at a rate of one of another quantity.
Example:
3 miles in 3 hours.
1 mile in one hour.
We have,
In a class of 28 students, 12 students packed their lunch.
We can write this as:
28 students = 12 students packed lunch ______(1)
We have to make 28 students into 336 students.
This can be done by multiplying 12 on both sides of the equation (1)
Multiply 12 on both sides.
12 x 28 students = 12 x 12 students packed lunch
336 students = 144 students packed lunch
Thus,
The number of students who packed their lunch out of 336 students is 144 students.
Learn more about unit rates here:
https://brainly.com/question/11258929
#SPJ5
The population P of a small town, measured in hundreds, is modeled by the inverse of the function P−1(t) = 10ln(50t − 1000), where t is measured in years. Find the equation to model the population and determine its initial value.
P = 5t +100 where P(0) = 100
P = 1/50 In(0.1t)+20
P = 1/500e^t + 20
P = 1/50e^0.1t + 20
Using the inverse function, it is found that the equation is:
[tex]P(t) = \frac{e^{0.1t}}{50} + 20[/tex]
It's initial value is 20.
---------------------------
We want to find the inverse of:
[tex]y = P^{-1}(t) = 10\ln{50t - 1000}[/tex]
To do this, we exchange y and t, and isolate y.
Then:
[tex]10\ln{50y - 1000} = t[/tex]
[tex]\ln{50y - 1000} = \frac{t}{10}[/tex]
[tex]e^{\ln{50y - 1000}} = e^{0.1t}[/tex]
[tex]50y - 1000 = e^{0.1t}[/tex]
[tex]50y = e^{0.1t} + 1000[/tex]
[tex]y = \frac{e^{0.1t} + 1000}{50}[/tex]
[tex]y = \frac{e^{0.1t}}{50} + \frac{1000}{50}[/tex]
[tex]P(t) = \frac{e^{0.1t}}{50} + 20[/tex]
It's initial value is:
[tex]P(0) = \frac{e^{0.1(0)}}{50} + 20 = 0.02 + 20 = 20.02[/tex]
Rounding, 20.
A similar problem is given at https://brainly.com/question/23950969
Answer:
P = 1/50e^0.1t + 20
Step-by-step explanation:
less than a number
Х
A, 12-x
B. 12x
C. X + 12
D. X-12
Answer:
D) X-12
Step-by-step explanation:
imagine that X = 2 or any number less than 12
A) 12 - X = 12 - 2 = 10
B) 12X = 12 ×2 = 24
C) X + 12 = 2 + 12 = 14
D) X - 12 = 2 - 12 = -10
So, the smallest number is (D)
Hope it's help.
7. What is the value of z in the solution to the systems of linear equations shown below?
-x+ 2y + 2z= -4
4x +y-3z=13
x- 5y +z = -23
Step-by-step explanation:
[tex]1) \: \: - x + 2y + 2z = - 4 \\ 2z = - 4 + x - 2y \\ z = \frac{ - 4 + x - 2y}{2} \\ \\ 2) \: \: 4x + y - 3z = 13 \\ - 3z = 13 - 4x - y \\ z = \frac{13 - 4x - y}{ - 3} \\ \\ 3) \: \: x - 5y + z = - 23 \\ z = - 23 - x + 5y \\ [/tex]
PLEASE I NEED HELP WITH THIS SO I CAN PASS
Answer:
the answer is------------ 1/4.4.4
what is an equivalent ratio to 9:1
Answer:
Equivalent ratio of 9:1 is 18:2.
Mark me as the brainlist
Answer:
18:2 is equivalent
pretty sure
The Students on each team who drew the greatest number will be the captain of that team. Place the players of the Lions team in order from Least to Greatest.
Who was the captain of the Lions Team?
Enter the correct answer in the box
Simplify the expression (62)4
Answer:
62•4=248
[tex]63^{4} =2^{24}[/tex]
Step-by-step explanation:
I didn't know which one you needed so here's both.
what is 5 +10 - 20 x 4
Answer:
-65 is the right answerrr
Graph the number on the number line. Then use your number line to find the
absolute value.
-3
10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3
O
-3
4 5 6 7 8 9 10
?
The absolute value of -3 is
Answer:
3
Step-by-step explanation:
The opposite of -3 is 3.
simplify the expression 8xy-(x+2xy)+3x
Answer:
6xy + 2x
Step-by-step explanation:
Simplify the expression.8xy-(x+2xy)+3x
Jaden runs in a circle at constant speed
Radius is 30m. Time is 90s. What is the speed?
Answer:
hope i helped...if anythng not understood please write in the comments
Helppppppppppppp need it now
Answer:
got
submited
showed
arrived
already filled
Step-by-step explanation: