See attachment for math work and answer.
The measure of ∠RSV is 31°.
Given that, SV bisects ∠RST=62°.
We need to find the value of m∠RSV.
What is an angle bisector?The angle bisector in geometry is the ray, line, or segment which divides a given angle into two equal parts. For example, an angle bisector of a 60-degree angle will divide it into two angles of 30 degrees each. In other words, it divides an angle into two smaller congruent angles.
Since SV bisects ∠RST into equal parts.
That is, ∠RSV=∠TSV
So, ∠RST=∠RSV+∠TSV
⇒∠RST=2∠RSV
⇒62°=2∠RSV
⇒∠RSV=31°
Therefore, the measure of ∠RSV is 31°.
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4b+14=22
solve the equation
Answer:
B= 2
Step-by-step explanation:
4b+14=22
-14 -14
4b=8
/4 /4
b=2
The value of b in the expression is,
b = 2
We have to given that,
An expression to simplify,
4b + 14 = 22
Now, We can simplify it as,
4b + 14 = 22
Subtract 14 both side,
4b + 14 - 14 = 22 - 14
4b = 8
Divide by 4;
b = 8/4
b = 2
Therefore, The solution of expression is,
b = 2
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If f(x) = ln(x+4+e^-3x) then f'(0) is what?
Answer: f(0) = 0
Step-by-step explanation: anything multiplied by 0 is 0.
The value of [tex]f'(0)=\frac{-2}{5}[/tex]
What is Derivative of a function?
The derivative of a function of a real variable measures the sensitivity to change of the function value with respect to a change in its argument
It is denoted by f ' ( x ) = dy / dx
Given data ,
Let the function be f ( x ) = [tex]ln(x + 4 + e^{-3x} )[/tex]
To differentiate f ( x ) ,
Let [tex]y=ln(a)[/tex] , where [tex]a=x+4+e^{-3x}[/tex]
So ,
[tex]e^{y} =a[/tex]
Using this function , we can write
[tex]e^{y} = x + 4 + e^{-3x}[/tex]
On differentiating , we get
[tex]e^{y}\frac{dy}{dx} = 1 + 0 -3e^{-3x}[/tex]
Dividing by [tex]e^{y}[/tex] on both sides , we get
[tex]\frac{dy}{dx} = \frac{ 1-3e^{-3x}}{e^{y} }[/tex]
We know , [tex]e^{y} =a[/tex]
And [tex]e^{y}=x+4+e^{-3x}[/tex]
So , [tex]\frac{dy}{dx} = \frac{ 1-3e^{-3x}}{x+4+e^{-3x} }[/tex]
Therefore [tex]f'(x)=\frac{dy}{dx} = \frac{ 1-3e^{-3x}}{x+4+e^{-3x} }[/tex]
Now , [tex]f'(0)=\frac{1-3e^{0}}{0+4+e^{0} }[/tex]
[tex]f'(0)=\frac{-2}{5}[/tex]
Hence , the value of [tex]f'(0)=\frac{-2}{5}[/tex]
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Lemme put y’all on this app called Cymath. It answers the questions and explains the steps
Please help number 7
Answer:
Ok, so first, at the end of the equation, It says "+ 4" , right? So you put a point on positive 4 on the y-axis (the one that goes up and don, the vertical line.). Then, 2x means that's your slope, but since your graph only goes up to five, you gotta count down ward. So, go down from your point on the y-axis (4) twice and over to the LEFT (<--) once. Plot your point where you end up. then use a straightedge like a ruler, and connect your two points on the graph, and you have your line!
Hope this helps!
Answer:
it is cubix 12
Step-by-step explanation:
yw hope it helps!
helppp someone!!! i’ll mark brainliest!!!
Answer:
I think the answer is A. since the exponents inside the equation are negative, and the outside exponents are positive
Step-by-step explanation:
-12.4 + 9.2 =
show work
Answer:
Hello!!! Princess Sakura here ^^
Step-by-step explanation:
First we have to line them up by the decimal points...
-12.4
+ 9.2
-3.2
That's all after you solved it you get -3.2
I am to mental for this math... XD plz h e l p
Answer:
a ≥ [tex]-\frac{64}{3}[/tex]
Step-by-step explanation:
You would solve this exactly as if the ≥ sign was an equal sign:
[tex](\frac{3}{4} )a[/tex] ≥ [tex]-16[/tex] [Given]
3a ≥ -64 [Multiply 4 on both sides of the sign]
a ≥ [tex]-\frac{64}{3}[/tex] [Simplify]
Hope this helps! I apologize if I'm incorrect
Reduce the equation of straight line 2x+3y = 12 in double intercept form and hence mention its X-intercept and Y-intercept.
Answer:
x intercept: (x,0)
y intercept: (0,y)
2x+0=12/÷2 0+3y=12/÷3
x=6 y=4
[tex] \frac{x}{a} + \frac{y}{b} = 1 \\ [/tex]
[tex] \frac{x}{6} + \frac{y}{4} = 1[/tex]
A model car is for sale online. The owner discounts the price by 5% each day until it sells. On the third day, the car sells. If the original price of the model car was $40, how much did the car sell for to the nearest cent?
If the original price of the model car was $40, how much did the car sell for to the nearest cent?
Find two numbers if their ratio is 9:11 and their difference is 6.
Answer:
Step-by-step explanation:
27,33
9*3 is 27
11*3 is 33
33-27 is 6
i only have one, sorry!
Answer:
Step-by-step explanation:
Let the larger number = y
Let the smaller number = x
x/y = 9/11
y - x = 6
Add x to both sides of the second equation
y = 6 + x
Substitute into the first equation
x/(x + 6) = 9/11
Cross multiply
11x = 9(x + 6)
Remove the brackets
11x = 9x + 54
Subtract 9x from both sides.
2x = 54
x = 54/2
x = 27
y = 27 + 6
y = 33
(27,33)
The way I've done it, there isn't a second pair.
I suppose you could do it this way.
9/11 = -27/-33
-27 - - 33 = 6
So the second pair could be
(-27, - 33)
Pls help..it is an emergency...
Thank u
Answer:
Triangle A did a reflection over the x-axis and the translated down two units to become triangle B
Step-by-step explanation:
Hope this helps. Happy Halloween
Find the total distance from Mercury to Earth. HELP!
Answer:
5.67*10^7
Step-by-step explanation:
Since the distance from mercury to venus is 30,700,000, and the distance from venus to earth is 26,000,000, we can simply add these together to find the distance from mercury to earth:
30,700,000
+26,000,000
__________
56,700,000
Now, to convert it to scientific form, just multiply 10^7 (which is the number of digits-1) and 5.67. Therefore, the answer is 5.67*10^7
Alright then! First question!
A graph has height (inches) on the x-axis and arm span (inches) on the y-axis. Points are at (30, 27), (45, 45), (53, 50), (60, 60), (67, 70), and (73, 72).
Identify if there is a relationship between the variables.
(A) No, there is no relationship because the points are all up and down.
(B) Yes, the relationship displayed shows arm span increasing as height increases.
(C) Yes, the relationship displayed shows arm span decreasing as height increases.
Answer:
hmmm...i wanna go with B
Step-by-step explanation:
because it goes from 30 to 45 and 45 and 45 to 53 to 50 then the 50 goes 60 meaning their both increasing as it it goes on
at least i believe im right haha hope this helped if its not to late
Answer: The answer is (B) Yes, the relationship displayed shows arm span increasing as height increases.
Step-by-step explanation: I got the answer correct hope this helps!
HELP PLEASE ASAP Which of the following is an irrational number?
21
14
49
60
23
Answer:
I think it's 14
Step-by-step explanation:
Answer:
14
Step-by-step explanation:
its 14 because it can be expressed as the quotient of two integers: 14÷ 1
cell phone company A charges an $80 deposit and $10 each.month for unlitmited service.cell phone company Charges a $70 deposit and $12 each month for unlimited service.after how many months will cell phone company A cost more then cell phone company B?
Which of the following is the best deal per candy bar?
Question 12 options:
5 candy bars for $4.00
4 candy bars for $2.80
10 candy bars for $7.20
2 candy bars for $1.50
QUICKLY PLZZZ
Answer:
the best deal is 4 candy bars for $2.80
Step-by-step explanation:
4/5= 80 cents
2.8/4= 70 cents
7.2/10= 72 cents
1.5/2= 75 cents
the best deal is 4 candy bars for $2.80
BRAINLY PLS HELP ME OUT ON THE 5,2 what the m value I beg you ASP
Answer:
hypotenuse = 5
height = 2
Using Pythagoras theorem,
5² = 2² + m²
=> 25 = 4 + m²
=> 25–4 = m²
=> √21 = m
=> m = 4.58
Value of m is 4.58
help I’ll award brainliest
Answer:
Most likely the answer hope this helps :P
Step-by-step explanation:
1= 10
2= 20
5 = 50
8 = 80
X = 100
(4+3c^5)(4-3c^5) combine like terms
Answer:
16 − 9 c ^10
Step-by-step explanation:
Simplify the expression.
Answer:
-9c^10+16
Step-by-step explanation:
(4+3c^5)(4-3c^5) multiply
(16 -12c^5+12c^5-9c^10) combine and rewrite
-9c^10+16
What is the equation of the line ? and how do i know ?
Answer:
The equation of the line is y=-16x+7
Step-by-step explanation:
I am not totally sure if that is what you meant by the equation of the line but that is my answer. I can change it if you are more specific.
Anyways, you need to find the slope because you already know the y-intercept, 7.
Slope=rise/run between two pretty points( A point that lines up on the grid)
So you must go from the bottom point and count how ever many are separating the two points. It turned out to be 16 and since the line is going down it is a negative. You then plug the numbers into the slope intercept form and that is your answer.
What is the value of the expression below when x=3 and y=8?
6x + 10y
Answer: Answer: 98
6(3) + 10(8) = 98
Step-by-step explanation:
All of the following are reserved powers EXCEPT:
A.
establishing and maintaining schools
B.
regulating business within the state
C.
controlling Interstate and foreign trade
D.
establishing county and local governments
Please select the best answer from the choices provided
A
B
C
D
Answer:
The correct answer is C. controlling interstate and foreign trade
Based on the Constitution, all of the above are Reserved powers except, C. controlling Interstate and foreign trade
Reserved powers are those that are reserved for state governments and some of them are:
Establishing schools and maintaining them Regulating intra-state business Establishing local governmentsRegulating interstate and foreign trade is the responsibility of the federal government as it does so on behalf of all states in a joint manner.
In conclusion, regulating foreign and interstate trade is not a reserved power.
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What is the line's slope?
Answer:
[tex]m=\frac{-1}{3}[/tex]
Step-by-step explanation:
Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
Simply plug in the 2 coordinates into the slope formula to find slope m:
Points (0, -1) and (-3, 0)
[tex]m=\frac{0-(-1)}{-3-0}[/tex]
[tex]m=\frac{0+1}{-3}[/tex]
[tex]m=\frac{1}{-3}[/tex]
[tex]m=\frac{-1}{3}[/tex]
Hannah is making cookies. Each batch of cookies uses 3/4 lbs of butter. She is going to make 5 batches. How much butter will she need?
Answer:3/4*5=3 3/5
Step-by-step explanation:
Verizon charges $700 for an iPhone 12 and has a monthly service fee of $50. AT&T charges $650 for an iPhone 12 and has a monthly service fee of $60. After how many months will the two costs be the
same?
Answer:
5 months
Step-by-step explanation:
700 + 50x = 650 + 60x
50 = 10x
5 = x
simplest radical form
-5√243-3√27
Answer:
-54√3
Step-by-step explanation:
HELP!!!!! what is the axis of symmetry for the graph of y-4x=7-x^2
A.x=2
B.y=2
C.x=11
D.y=11
Four friends stay at the Pickled Parrot Hotel for a night and each
have an evening meal. Bed and Breakfast costs £37 per person and
the evening meal costs £15 per person. How much is the total cost,
if a service charge is added at 171/2%?
Answer:
total cost is £244.4
Step-by-step explanation:
( 37 * 4 ) + ( 15 * 4 ) = 208
208 * .175 = 36.4
208 + 36.4 = 244.4
HOPE THIS HELPS
Which one?
A. B. C. or D?
Answer:
b
Step-by-step explanation:
because b sounds like it lol
i need help with this question. please help me.
Answer:
it cost $9.2972048
Step-by-step explanation:
Answer:
Coach brought 2 orders of fries to the table, and all three orders of fries cost him $6.