Answer:
Step-by-step explanation:
α + β = -b/a
αβ = c/a
α² + β² = (α + β)² - 2αβ
[tex]= (\frac{-b}{a})^{2}-2\frac{c}{a}\\\\= \frac{b^{2}}{a^{2}}-\frac{2c}{a}\\\\=\frac{b^{2}}{a^{2}}-\frac{2c*a}{a*a}\\\\=\frac{b^{2}-2ca}{a^{2}}[/tex]
Kevin correctly answered 75% of 32 test questions.
Part A
How many questions did Kevin answer correctly?
Part B
How many more questions would Kevin have to answer correctly to get more than 80% correct?
Answer:
part a-24 questions
part b-2 or 3 more questions
Step-by-step explanation:
part a-to find the number, change the percent into a decimal (.75) and multiply (24)
part b-first find how many questions need to be right to get 80% (.80 times 32=25.6). then subtract by how many he would get with a 75% (25.6-24=about 2 to 3 more questions, rounded 2)
I honestly am so confused right now , pleas help
Answer:
never really liked accounting, but...
The Assets seem to total $33000
and the Liabilities also seem to add to $33000
that seems to be what is supposed to happen in an accounting problem
Step-by-step explanation:
Given two similar cylinders with a height ratio of 2:3 what is the ratio of their volumes?
Answer:
8 : 27
Step-by-step explanation:
The ratio of the volumes is the ratio of the scale factor cubed
2^3 : 3^3
8 : 27
Answer:
8 : 27
Step-by-step explanation:
Given 2 similar cylinders with height ratio = a : b , then
ratio of volumes = a³ : b³
Here height ratio = 2 : 3
ratio of volumes = 2³ : 3³ = 8 : 27
Look below at the picturess!!! pls help me i will give you 100 points !
Answer:
1/4
Step-by-step explanation:
because there 25% change
Answer:
for the blue its 1/4 or 2/8 and not likely.
For the yellow one it is 7/8 and likely.
फरक परेछ? A person deposited Rs. 80,000 in bank 'P' for 2 years at the rate of 10% annual compound interest. But after one year bank has changed the policy and decided to pay semi-annual compound interest at the same rate. What is the percentage difference between compound interests of the first year and second year? Give reason with calculation,
Answer:
you nepali me nepali all are nepalese nepalese are only unintelligent
Write the expression as either the sine, cosine, or tangent of a single angle. cos(pi/5) cos(pi/7)+sin(pi/5)sin (pi/7)
Answer:
cos(2π/35)
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightPre-Calculus
Sum/Difference Formula [cosine]: [tex]\displaystyle cos(x \pm y) = cos(x)cos(y) \mp sin(x)sin(y)[/tex]Step-by-step explanation:
Step 1: Define
Identify
cos(π/5)cos(π/7) + sin(π/5)sin(π/7)
Step 2: Simplify
Sum/Difference Formula [cosine]: cos(π/5)cos(π/7) + sin(π/5)sin(π/7) = cos(π/5 - π/7)Subtract: cos(π/5 - π/7) = cos(2π/35)(Find m∠IGH) m∠IGH=
Answer:
angle IGH = 50 degree
Step-by-step explanation:
triangle GHI is an isosceles triangle because it's two sides are equal.
if angle I is 50 degree then angle G is also 50 degree becasue in isosceles triangle the base angles are equal.
No files just type it in
( 3 × 5 ) + ( 2 × 4 ) =
15 + 8 = $ 23
Farida bought 20 stamps consisting of 20 sen stamps and 60 sen stamps. The total cost of the stamps is RM8.80. How many 20 sej stamps did Farida buy?
Answer:
# of 20cent stamps = 8
Step-by-step explanation:
Let the number 20cent stamps be = x
Let the number 60 cents stamps be = y
Total number of stamps => 20 = x + y ----------- ( 1 )
Total cost of the stamps = 8.80
That is, 0.20x + 0.60y = 8.80 ------------- ( 2 )
( 2 ) => 20x + 60y = 880
=> x + 3y = 44
=> x = 44 - 3y
Substitute x in ( 1 ) => x + y = 20
44 - 3y + y = 20
- 2y = 20 - 44
- 2y = - 24
2y = 24
y = 12
Substitute y = 12 in ( 1 ) => x + y = 20
x + 12 = 20
x = 8
don't mind the purple dot
Answer:
option A
Step-by-step explanation:
22 : 15 + 10hours = 8 : 15
8 : 15 + 35 minutes = 8 : 50
Therefore the difference = 10 hours 35 minutes
A business owner is paying for a dinner party that costs $212.00, including tax. If the tip is 20%, what is the total bill?
$218.40
$254.40
$276 60
$222.60
Answer:
$254.40
Step-by-step explanation:
Find the total bill by multiplying 212 by 1.2, which will calculate the cost included with the 20% tip:
212(1.2)
= 254.4
So, the total bill will be $254.40
Answer:
[tex]\$254.40[/tex]
Step-by-step explanation:
Since 20% as a decimal is 0.2, the total bill including tax is 1.2 times larger than the original bill.
Original bill of $212.00:
Final bill: [tex]212.00\cdot 1.2=\boxed{\$254.40}[/tex]
What are the solutions to the equation (2x+1)^2-(x+13)=3x^2-2x+2
22 - 8x = -5x - 14
Find x
Please help this is due today
(Factorize it)
Here it is:
Answer:
D: (x^2 + 3x + 9) (x^2 - 3x + 9)
-
G: (x^2 + 3x + 5) (x^2 - 3x + 5)
Answer:
[tex]d) \: \: ( {x}^{2} + 3x + 9)( {x}^{2} - 3x + 9)[/tex]
[tex]g) \: \: ( {x}^{2} + 2x + 5)( {x}^{2} - 2x + 5)[/tex]
Step-by-step explanation:
Hope it is helpful....
can someone please help for brainlest
Answer:
yes it is correct
Step-by-step explanation:
option 1
Answer:
Your answer is correct! 9:1
Step-by-step explanation:
Old Area = side x side
? = 2 x 2
4cm
New Area-
Step 1: Triple the sides
2 x 3 = ?
6cm
Step 2: Find the area
6 x 6 = ?
36cm
The ratio of the new area to the old area is:
36 : 4
But wait! You can simply it!
36 / 4 = 9
4 / 4 = 1
So the new ratio would be:
9 : 1
Hope this helps!
Good Luck!
:)
I’ve been stuck on these for a while, can someone help? Thank you :) !!
Answer:
6.32
5
254.34
Step-by-step explanation:
The lengths of the missing sides can be determined using Pythagoras theorem
The Pythagoras theorem : a² + b² = c²
where a = length
b = base
c = hypotenuse
first missing side
7² = 3² + x²
49 = 9 + x²
x² = 49 - 9
x² = 40
x = 6.32
second missing side
3² + 4²
9 + 16
= 25
√25 = 5
Area of a circle = πr²
Where : = π = pi = 3.14
3.14 x 9² = 254.34
If the angles are represented in degrees,find both angles: csc(2x+9) =sec(3x+26)
Angle 1: Angle 2:
Please respond quick
Answer:
31°,59°
Step-by-step explanation:
csc (2x+9)=sec(3x+26)
1/sin(2x+9)=1/cos (3x+26)
sin (2x+9)=cos(3x+26)
cos (90-2x-9)=cos(3x+26)
90=3x+26+2x+9
5x+35=90
5x=90-35=55
x=55/5=11
2x+9=2×11+9=31°
3x+26=3×11+26=59°
What are the possible degrees for the polynomial function?
Answer:
degrees of 5 or greater
Step-by-step explanation:
peaks counted are 5
3. If a + b = C, which of the following statements is true?
Answer:
first one
Step-by-step explanation:
a + b = c
subtract a from both sides
b = c - a
or
c - a = b
[tex]\longrightarrow{\green{ a. \: c - a = b }}[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]
[tex]a + b = c[/tex]
[tex]⇢ b = c - a[/tex]
[tex]⇢ c - a = b[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\orange{Mystique35 }}{\orange{❦}}}}}[/tex]
Help me please
How many solutions does the equation
x -4 = 12 - 2x have? Explain.
- ? .
Answer: one solution.
Step-by-step explanation:
[tex]\dfrac{2}{3} x-4=12-2x\\\\\dfrac{2}{3} x+2x=12+4\\\\2\dfrac{2}{3} x=16\\\\\dfrac{8}{3} x=16\\\\8x=16 \cdot 3\\\\8x=48\\\\x=\dfrac{48}{8} =6[/tex]
This equation has one solution: x = 6.
which of the following exponential functions represents the graph below?
Answer:
D
Step-by-step explanation:
We can start by taking a look at the x and y intercepts. When x=0, y=3. Plugging this into each function,
5 * 3^(0) = 5
3 * 5^(0) = 3
5 * (1/3)^(0) = 5
3 * (1/5) ^ (0) = 3
Therefore, our answer must be either B or D. Then, although y=0 isn't given on the graph, based on where the graph is heading, we can say that y is getting smaller as x gets larger. For a big number, such as 100, we know that
3 * 5^(100) is something big and 3 * (1/5) ^ (100) is something small*. Therefore, as y must get small, not big, as x gets larger, D is our answer.
* We know that this is something small because anything less than 1 to the power of something greater than 1 makes it smaller. For example, 0.5² is 0.25, which is smaller than 0.5
Find the surface area of the rectangular prism shown below.
6 in.
(15 in
12 in
Answer:
684 in^2
Step-by-step explanation:
SA = 2 ( l*w + l*h+ w*h)
SA = 2( 6*15 + 6*12+ 15*12)
= 2( 90+72+180)
= 2(342)
= 684 in^2
a freight elevator has a weight limit of 2 tons. Each crate that is loaded weighs 80 pounds. What is the greatest number of crates that can be loaded on to the elevator?
25
500
250
50
Please help meh TvT
Answer:
50 crates
Step-by-step explanation:
First we need to convert 2 tons into pounds; 2 short tons = 4000 pounds, so the greatest number of crates that can be loaded onto the elevator is 4000 Hope this helps >:D
Help me !! Use the image to complete the equation below
m angle APD.
Hope It's help you.
Step-by-step explanation:
yeah angle m is APD so yeah
The function h(t) = -16t^2 + h, 0 gives the height (in feet) of a ball dropped from a height of h, 0 after t seconds. A ball is dropped from a height of 12 feet. After how many seconds does the ball hit the floor?
could someone explain how to solve the equation? I know it's h(t) = -16^2 + 12
Answer:
Step-by-step explanation
the answee
Danessa is working with consecutive even numbers. If x is her first number, which expression represents her second number?
x + 1
x – 1
x + 2
2x
Answer:
x + 2
Step-by-step explanation: I believe that can help you!
The second term in a sequence is 13. The term to term rule is "add 6"
Write an expression, in terms of n, for the nth term of the sequence.
Answer:
[tex]a_{n}[/tex] = 6n + 1
Step-by-step explanation:
This is an arithmetic sequence with nth term
[tex]a_{n}[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = 13 - 6 = 7 and d = 6 , then
[tex]a_{n}[/tex] = 7 + 6(n - 1) = 7 + 6n - 6 = 6n + 1
Answer:
the first few terms would be
7, 13, 19, 25, 31
nth term = 7 + 6(n+1)
nth term = 7+ 6n + 6
nth term = 6n + 13
What are the lengths of AD, DB, AE, and EC? Measure and record them.
You bought a shirt for 13.50 that was originally 45.00 in terms of percent what discount did you get the shirt?
please i have 15 minutes
Answer:
[tex] x = \dfrac{-\log 7}{\log 7 - \log 2} [/tex]
Step-by-step explanation:
[tex] 2^x = 7^{x + 1} [/tex]
Take the log of both sides.
[tex] \log 2^x = \log 7^{x + 1} [/tex]
Use properties of log.
[tex] x \log 2 = (x + 1) \log 7 [/tex]
[tex] x \log 2 = x \log 7 + \log 7 [/tex]
[tex] x \log 2 - x \log 7 = \log 7 [/tex]
[tex] x(\log 2 - \log 7) = \log 7 [/tex]
[tex] x = \dfrac{\log 7}{\log 2 - \log 7} [/tex]
[tex] x = \dfrac{\log 7}{-(\log 7 - \log 2)} [/tex]
[tex] x = \dfrac{-\log 7}{\log 7 - \log 2} [/tex]