12%= 30
-> 100%= 30÷12×100
-> 100%= 250
4% of 250
-> 4%=250÷100×4
-> 4%= 10
the coordinates start at A: (2,1) B:(6,1) C(4,7) and change to A:(1,-2) B:(1,-6) C:(7,-4) what is the algebraic expression
A student performed the following steps to find the solution to the equation x^2 + 14x + 40 = 0. Where did the student go wrong?
Step 1. Factor the polynomial into (x + 4) and (x + 10)
Step 2. x + 4 = 0 or x + 10 = 0
Step 3. x = -4 or x = 10
A. In step 3
B. The student did not make any mistakes, the solution is correct
C. In step 1
D. In step 2
Answer:
A. in Step 3
Step-by-step explanation:
It is factored correctly. Then separated into two smaller equations correctly. But in solving x + 10 = 0, there is an error.
x + 10 = 0
Add -10 to both sides.
x = -10
So, the error is in step 3.
Answer:
A . In Step 3.
Step-by-step explanation:
In step 3 the student went wrong
x = 4 or x = -10 is correct
( if x + 10 = 0, then x = -10)
Solve the proportion.
3x/10=3/
Answer: 10, And i dont know how to really explain but the answer is 10
Mr. Balderas is 65 years old. He
deposited $150 into a savings
account when he was 18 years
old. The account earned 6.75%
compound interest annually.
What is the total amount in the
savings account at this point in
time?
The total amount of money in Mr Baldera's savings account at this point in time is $3231.33.
What is the total amount of money in the account?
The formula that can be used to determine the future value with annual compounding is:
FV = P (1 + r)^n
FV = Future value P = Present value R = interest rate N = number of years : 65 - 18 = 47150 x (1.0674)^47 = $3231.33.
To learn more about future value, please check: https://brainly.com/question/18760477
(x+35)(2x + 1). How do I do this
Answer:
Split brackets method see below
Step-by-step explanation:
(x+35)(2x + 1)x(2x + 1)+35(2x + 1)2[tex]x^{2}[/tex] + x + 70x + 352[tex]x^{2}[/tex] + 71x +35-3 1/2 - (-4 1/4) on
3 ¾
Step-by-step explanation:
-3½+4¼=-²/⁴ +17/4=15/4
3¾
Answer:
5/4 or 1 1/4
Step-by-step explanation:
-3 1/2 - (-4 1/4) multiply the number by the denominator and add the numerator: -3*2 = -6 + 1 = -5 same for the other...
-5/2 - (-15/4) now you need the same least common denominator...
-10/4 + 15/4
= 5/4 or 1 1/4
PLEASE RATE!! I hope this helps!!
If you have any questions comment below
Question: If [tex]$f(x)=\cos \left[2 \tan ^{-1}\left(\sin \left(\cot ^{-1} \sqrt{\frac{1-x}{x}}\right)\right)\right]$[/tex]
Options:
[tex](a) $f^{\prime}(x)(x-1)^{2}-2(f(x))^{2}=0$\\\(b) $f^{\prime}(x)(x-1)^{2}+2(f(x))^{2}=0$\\(c) $f^{\prime}(x)(x+1)^{2}+2(f(x))^{2}=0$\\(d) $f^{\prime}(x)(x+1)^{2}-2(f(x))^{2}=0$[/tex]
Note that √((1 - x)/x) is defined only as long as 0 < x ≤ 1.
Consider a right triangle with reference angle θ such that
[tex]\cot(\theta) = \sqrt{\dfrac{1-x}x}[/tex]
In other words, on an appropriate domain,
[tex]\theta = \cot^{-1}\left(\sqrt{\dfrac{1-x}x}\right)[/tex]
In such a triangle, you would find that
[tex]\sin(\theta) = \sqrt x[/tex]
so f(x) reduces a bit to
[tex]f(x) = \cos\left(2 \tan^{-1}(\sqrt x)\right)[/tex]
Now consider another triangle with reference angle ɸ such that
[tex]\tan(\phi) = \sqrt x \implies \phi = \tan^{-1}(\sqrt x)[/tex]
In this triangle, you would find
[tex]\cos(\phi) = \dfrac1{\sqrt{1+x}}[/tex]
Recalling the double angle identity for cosine, it follows that
[tex]f(x) = \cos(2\phi) = 2 \cos^2(\phi) - 1 = \dfrac{1-x}{1+x}[/tex]
Differentiating with respect to x yields
[tex]f'(x) = -\dfrac2{(1+x)^2}[/tex]
while
[tex]f(x)^2 = \dfrac{(1-x)^2}{(1+x)^2}[/tex]
It follows that
[tex]f'(x)(x-1)^2 - 2f(x)^2 = 0[/tex]
so B is the correct choice.
The wholesale price for a desk is $195 A certain furniture store marks up the wholesale price by 30% . Find the price of the desk in the furniture store.
Answer:
$253.5
Step-by-step explanation:
195 x .3 = 58.5
58.5 + 195 = $253.5
What is the area of this triangle?
Enter your answer as a decimal in the box. Round only your final answer to the nearest tenth.
Answer:
38.6 in^2
Step-by-step explanation:
Find the third side using law of cosines
11.1^2 + 7^2 - 2(11.1)(7)cos 84 = x^2
x = 12.49
semi perimeter = (11.1 + 7 + 12.49)/2 = 15.29
Heron's formula for triangle area with 3 side lengths given
sqrt( ( 15.29)(15.29-11.1)(15.29-7)(15.29-12.49) ) = 38.56 in^2
Find AE. Round the answer to the nearest tenth.
A 9.7
B. 13.5
C. 16.1
D. 17.3
AE= 17.4 to nearest tenth
Step-by-step explanation:
Opposite + hypotenuse = SOH / sin
Sin 31 = 6/h
xh, then ÷ sin31
H= 6/sin31
H= 11.649....(a or b & 6 being a or b)
a^2 + b^2 = c^2
c = 13.1
Actually it's not a right-angle triangle
180 - 13+31 (or 44) = 136 degrees
Cosine rule: a^2=b^2+c^2 - 2bc cosA
AE = root 11.649...^2 + 7^2 - 2x11.649...x7xcos136
= 17.3791......
AE= 17.4 to nearest tenth
Hope this helps!
PLEASE HELP ME ANSWER THIS !! I HAVE 7 MINUTES TO TURN IT IN HELP PLEASE
Step-by-step explanation:
You know that the three lines are parallel.
There weren't really any specific instructions so I'd assume that we're trying to find the lines. They are all in the same thing, as shown, one is 21 and the other is 12. That means the parallel line is cutting of 9.
We can then assume 2x+2-9=x+3
Then, to solve, you can get 2x-7=x+3
X=10
Hope this helped!
I'm a bit confused, but hope this helped again!
Joel wants to fence off a triangular portion of his yard for his chickens. The three pieces of fencing he has measure 8 feet, 15 feet, and 20 feet long. Use this information to answer 8-9
8. Joel cut the longest piece of fencing in order to make a right triangle. Find the perimeter of Joel’s fence.
9. If it takes Joel 30 seconds to
foot of fencing, how many total minutes will it take him to install the fence?
Please help me thank you so much.
Answer:
8. Joel will not form a right triangle.
9.20 minutes
Step-by-step explanation:
8. First use theorem
Right triangle theorem
c²=a²+b²
c=20 ft
a=8ft
b=15 ft
20² =8²+15²
simplify
400= 64+225
400 does not = 289
9.
Part B)
if Joel cut the longest piece of fencing in order to make a right triangle
longest part is 17^2
a²+b²=289
c²=√289
c=17 ft
the perimeter of the fence is
a+b+c
17+8+15
perimeter is
40 ft
30 sec to install 40 ft(perimeter)
x=40*30
x=1200 seconds
x=1200/60 in minutes
x=20 minutes
Help I don't understand this math. Whoever gets the right answer gets Brainlist! :)
Do part B please! :)
Answer:
1=32
2=44
3=56
4=70
Step-by-step explanation:
if need working please ask
A clothing manufacturer has the marginal revenue function MR(x)=30-0.2x, 0 ≤ x ≤ 100 (in dollars per suit), where x is the number of suits sold each week. Then the total revenue from selling 60 suits is $
Based on the marginal revenue function for the clothing manufacturer, the total revenue from selling 60 suits is $1,440.
What is the total revenue from selling the suits?
The marginal revenue function of 30 - 0.2x is the differentiated revenue function.
Performing an integration will therefore give us the revenue function as:
= 30x - 0.1x²
Now that we have the revenue function and know that x = 60 suits, the revenue is:
= (30 x 60) - (0.1 x 60²)
= 1,800 - 360
= $1,440
Find out more on the revenue function at https://brainly.com/question/19755858.
simplify 24.4 / 0.002
Answer:
12,200
Step-by-step explanation:
The lengths of the sides of a triangle are 9, 12, and 15. Classify the triangle as acute, right, or obtuse.
Answer:
right angle triangle
Step-by-step explanation:
by applying Pythagoras theorem
[tex] RHS ={9}^{2} + 12 ^{2} = 81 + 144 = 225=√225 =15=LHS[/tex]
hence proved
What is the solution to the equation?
Answer: Your answer is X=-63
Hope this helps!
In 2015, there were approximately 4, 148,000 births in a country. Find the birth rate in births per minute.
Answer:
7.89 births per minute
Step-by-step explanation:
525600 minutes in a year
4,148,000 divided by 525600 =
7.89193302892
In the diagram, ΔGEF and ΔHEF are congruent. What is the value of x? will give brainliest
A.
60
B.
41
C.
28
D.
30
Answer:
C. 28
Step-by-step explanation:
According to the provided figure :
The measure of the angle EFG equal to the measure of the angle EFH
Which means 2(x + 2) = 60
2(x + 2) = 60
Then
2x + 4 = 60
Then
2x = 60 - 4
Then
2x = 56
Then
x = 56/2
Then
x = 28
a+b-__=a whats the blank and whats a and b
Answer:
-c is the blank and a+b is variables of real numbers.
Step-by-step explanation:
A real number is a value of a continuous quantity that can represent a distance.
However equality is a relationship between two quantities or, more generally two mathematical expressions, asserting that the quantities have the same value, or that the expressions represent the same mathematical object.
Evaluate the following integral or state that it diverges.
*integral 0 to 1 (ln x)do
Answer:
-1
Step-by-step explanation:
so firstly we solve by integrating by parts.
lnX × X - the integral of x/x
so the integral is Xln(X) - X
so the value should converge at -1
The perimeter of a rectangular goat pen is 28 meters. The pen is 5 meters wide. How long is it?
Answer:
I think it would be 9 meters.
Step-by-step explanation:
5x2=10
28-10=18
18(divided by)2=9 meters
Answer:
9 meters long
Step-by-step explanation:
the perimeter is 28 meters. itts 5 meters wide and itt is recttangle so itt have two of the same width. so now 5x2=10 and 28-10=18 now 18/2=9. please mark me brainliest if i got it correct
Help picture below problem 13
Answer:
it's obtuse angle...
mark me brainliest
= Obtuse triangle
Explanation:(a triangle in which one of the interior angles measures more than 90° degrees.)
I got test tomorrow help.
5x+4y=-14 3x+6y=6
Linear Combination Method
Answer:
8x+10y=-8
Step-by-step explanation:
5x+3x=8x
4y+6y=10y
-14+6=-8
Should be an easy graphing question
Answer: if that is easy why don't you do it anyways it's x=2(y−6)
Step-by-step explanation: y=
2
1
x+6
Swap sides so that all variable terms are on the left hand side.
2
1
x+6=y
Subtract 6 from both sides.
2
1
x=y−6
Multiply both sides by 2.
2
1
2
1
x
=
2
1
y−6
Dividing by
2
1
undoes the multiplication by
2
1
.
x=
2
1
y−6
Divide y−6 by
2
1
by multiplying y−6 by the reciprocal of
2
1
.
x=2y−12
SOLVE FOR Y
y=
2
x+12
the eye of a hurricane is a relatively calm circular region in the center of the storm the diameter of the eye is typically about 20 miles. If the eye of a hurricane is 20 miles in diameter, what is the area of the land that is underneath the eye? answer in square miles
Answer:
A= 314.159 m2
Step-by-step explanation:
Simple Give Brainliest Please
Answer plssi pass na bukas
Answer:
176.6 dm^2
Step-by-step explanation:
See attached image.
i need help asap
if F(4)=9, the corresponding ordered pair is what
Answer:
F(5)=11.25
Step-by-step explanation:
I'm like 80% sure this is right, and I hope it helps.
First I did 9/4 which equals 2.25. and that would be F(1)
then added 2.25 to 9 which equals 11.25
multiplying 2.25 by 5 would also equal 11.25.
I did 5 because, on a number line, 5 comes after 4.
6. Find the volume of the given figures. Compute and solve
