Answer:
[tex]\frac{3+/-i\sqrt{55} }{2}[/tex]
Step-by-step explanation:
[tex]x^2-3x=16[/tex]
Subtract 16 from both sides;
[tex]x^2-3x-16=0[/tex]
[tex]\frac{-(-3)+/-\sqrt{(-3^2)-4(-16)} }{2}=\frac{3+/-\sqrt{9-64} }{2}=\frac{3+/-\sqrt{-55} }{2}=\frac{3+/-\sqrt{55i^2} }{2} =\frac{3+/-i\sqrt{55} }{2}[/tex]
See photo please help
Answer:
2/3 is right one . option no B
can somebody help me with social studies please ????
Somebody please answer
Will get brainlist if you help me
Answer:
what do you mean? what's the question?
5,339x6= What is the estimate
- BRAINLIEST answerer ❤️
Find the value of 72% of 90 kg
Answer:
64.8 kg kilograms
Step-by-step explanation:
please mark brainiest
hope it works out for you
Answer:
the value of 72% of 90 kg:
72 * 90 / 100 = 64,8 kg
I need help ASAP please!!!!!!
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]
Determine the equation of the line passing through the point (4,5) with the slope equal to 2.
Answer:
y=2x-3
Step-by-step explanation:
slope (m)= 2
The Slope intercept of the line passing through (4,5) is
y=mx+b
5 = 2(4) + b
5 = 8 + b
b = -3
The equation of the line passing through pt. (4,5) is
y= mx+b
y=2x-3
divide
-4 2/5 % (-5)
a. -22/55
b.8/25
c.22/55
d.-8/25
Answer:
c but the real answer is 2/25
Step-by-step explanation:
HELP ME OUT PLEASE
The following table shows the amount of money his friend Car earns for different numbers of hours worked.
Dakota earned $7.50 in interest in Account A and $30.00 in interest in Account B after 18 months. If the simple interest rate is 2% for Account A and 5% for Account B, which account has the greater principal? Explain.
Answer:
account a
Step-by-step explanation:
deez nuuuuuuuts
Can you solve the problems
What is the slope from a graph:
Answer:
Slope is 3/4
Step-by-step explanation:
slope is rise over run or y1-y2/x1-x2
in this case (-1-2)/(-4-0) = -3/-4 = 3/4
Answer:; The piont where the line meets up with the squares coner
The table represents a proportional
relationship between x and y. Find the value
of y when x = 38.
20
22
24
26
28
5
5.5
6
6.5
7
The value of y when x = 38 would be 9.5
What is a proportion?A proportion is a fraction of a total amount, and the measures are related using a rule of three.
The relations between variables, either direct or inverse proportional, can be built to find the desired measures in the problem.
Given that table represents a proportional relationship between x and y.
we just need to solve for the slope
Therefore,
k = x/y
k = 20/5
k = 4
when x = 38
y = 1.5x
y =(1.5) 38
y = 9.5
The value of y when x = 38 would be 9.5
More can be learned about proportions at;
brainly.com/question/24372153
#SPJ2
2/3 divide 1/8 using kcf
Answer:
2/3 divdied by 1/8 is 5 1/3
Step-by-step explanation:
You first keep the 2/3, change the operation to multiplication, then flip the 1/8 to 8/1, then multiply across to get 16/3. After that, simplify to get 5 1/3
Chang knows one side of a triangle is 13 cm. Which set of two sides is possible for the lengths of the other two
sides of this triangle?
5 cm and 8 cm
6 cm and 7 cm
7 cm and 2 cm
8 cm and 9 cm
Answer:
(A) 5cm and 8cm
Step-by-step explanation:
Look to find out the triangle side you here to add and find outnth sum.
The amount of cleaning solution a company fills its bottles with has a mean of 33fl oz and a standard deviation of 1.5fl oz The company advertises that these bottles have 32fl oz, of cleaning solution.
Answer:
Mean: 30 mL
Standard Deviation: 45mL
Step-by-step explanation:
PLEASE HELP ME ITS ALGEBRA THANKSSSS
Answer:
24 kg
Step-by-step explanation:
21 kg every 7 hr
21kg/7hr = 3kg/hr
This means he prepares 3 kg of dough every hour.
After working 8 hours, he would have prepared (3kg)(8) = 24kg of dough
If max have 600 apples and give sis some how did here
Answer:
Sorry, but your question doesn't make sense
Step-by-step explanation:
where is the rest of the question/problem
Jackson has one dollar bills and dimes in his pocket. The number of one dollar bills is nine more than six times the number of dimes. Let d represent the number of dimes. Write an expression for the number of one dollar bills
Answer:
6d+9 = $
Step-by-step explanation:
in 2-3 sentences, elaborate on the concept of man being a rational being.
Answer:
Pls mark brainliest
Step-by-step explanation:
A man is seen to be a rational being because he is very sensible and is capable of making decisons and judgement due to the fact that he thinks intelligiently and also in philosophy a man is viewed to be a curious being because he is very rational and is capable of thinking about the existence and nature.
The tallest living man at one time had a height of 224 cm. The shortest living man at that time had a height of 97.8 cm. Heights of men at that time had a mean of 174.21 cm and a standard deviation of 5.56 cm. Which of these two men had the height that was more extreme?
Answer:
the shorter man
Step-by-step explanation:
224 cm minus 174.21 = 49.79
49.79/5.56= approximately 9 standard deviations from the mean.
174.21 minus 97.8= 76.41
76.41/5.56= approximately 14 standard deviations from the mean.
bc the shorter man's height is more SD's away from the mean (average) height his height difference is more extreme.
Find the value of x. The diagram is not to scale.
Given: angle SRT = angle STR, M Angle SRT = 20, m angle STU = 4x
In the given diagram, the value of x is 40
From the question,
we are given that
∠ SRT = ∠STR, and m ∠SRT = 20,
Also, from the question
m ∠STU = 4x
To determine the value of x,
From the diagram,
We can observe that
∠STR + ∠STU = 180° (Sum of angles on a straight line)
Since ∠ SRT = ∠STR, and m ∠SRT = 20,
Then,
∠STR = 20
Then,
∠STR + ∠STU = 180° becomes
20 + 4x = 180
To solve this,
First, subtract 20 from both sides
20 - 20 + 4x = 180 - 20
Then,
4x = 160
∴ x = 160 ÷ 4
x = 40
Hence, the value of x is 40
Learn more here: https://brainly.com/question/20707795
Answer:
Step-by-step explanation:
The answer is 40.
x=40
I’ll give BRAINLIEST pls help
Answer: EQUATIONS OF HORIZONTAL AND VERTICAL LINES. In general, linear equation is a function whose graph is a straight line and it is typically written as. y = mx + b, where m is the slope and b is the y-intercept. An horizontal lines goes left and right and its equation is in the form of. y = b,
Step-by-step explanation:
12a
A boy is standing on the very edge of a cliff that is 58.8 m high. The boy throws a rock straight up in the air at 7.36 m/s. (a) What is the rock's velocity when it hits the ground? (use up as the positive direction)
How long (from the time it was thrown) will it take for the rock to hit the ground?
What is the total distance traveled by the rock?
Answer:
The exact same from when it went up
Step-by-step explanation:
it never said the rock was thrown at a angle besides directly up and the boy didn't move so it hit his head
simplify the expression 8xy-(x+2xy)+3x
Answer:
6xy + 2x
Step-by-step explanation:
Simplify the expression.8xy-(x+2xy)+3x
Find the area of the triangle.
6
8
Answer:
24
Step-by-step explanation:
the area formula for a triangle is
base x high
----------------
2
so 6x8=48 and divided by 2 is 24
Answer:
24
Step-by-step explanation:
8×6 then Divide by 2........
Pepe’s Pizza makes 26 pizza crusts the first week and 180 pizza crusts each subsequent week. Dianne’s Delicatessen makes 52 pizza crusts the first week and 167 pizza crusts each subsequent week. In how many weeks will the total number of pizza crusts made by Pepe’s Pizza be the same as the number of pizza crusts made by Dianne’s Delicatessen? Explain and show work to support your answer.
Answer: the total number of pizza crusts made by Pep's Pizza
equals twice the total number of pizza crusts
made by Dianne's Delicatessen when:
+52+%2B+180n+=+2%2A%28+26+%2B+90n+%29+
+52+%2B+180n+=+52+%2B+180n+
This equation is satisfied for any value of +n+,
so Pepe's always makes twice as much as Dianne's
Step-by-step explanation:
16⎯⎯⎯⎯√ – (14 + 2) : 2
Answer:
Our square root calculator estimates the square root of any positive number you want. Just enter the chosen number and read the results.
Step-by-step explanation:
The depth of water in a water tower that is draining is decreasing at a constant rate of 1.75 feet per hour. If
the depth after 6 hours of draining is 8 feet then write an equation for the water depth, d, as a function of the
amount of time it's been draining, t, in hours.
Answer:
1.75 * 6 = 10.5 - 8 = 2.5 / 1.75 = 1.43 * 5.5 = about 5hrs and 30mins
Step-by-step explanation:
QUICK!!
Which equation represents the relationship shown in the graph??
Answer:
y=1/2x
Step-by-step explanation:
Look at the graph, all you need is the first point.
Y is at 4 and X is at 2. We can divide y/x to get 4/2=1/2x