Answer:
For a polynomial of the form
ax2+bx+c, rewrite the middle term as a sum of two terms whose product is a⋅ c=4−5=−20 and whose sum is b=8.
Step-by-step explanation:
can someone do this for me?
Answer:
20% - 12.5% - 60% - 50% - 78.6% - 57.1% - 92.1% - 83.3% - 90.9% - 80% - 5%.
Step-by-step explanation:
Find the CI, if Rs 5000 was invested for 2 years at 10% p.a. compounded half-yearly?
Best answers needed
Quickly! pls!
Don't Spam
Answer:
Given:
A sum of Rs 5000 was invested for 2 years at 10% p.a. compounded half - yearly.To Find:
The compound Interest.Solution:
★ Firstly, we have to find the amount:
According, to the question by using the formula, we get:
[tex] \longmapsto \: { \bold{ \boxed{\pink{ \rm{A \: = P \left( 1 + \frac{ \frac{r}{2} }{100} \right)^{2n} }}}}}[/tex]
Here,
Amount (A) = A Principal (P) = Rs 5000 Rate of Interest (r) = 10% p.a Time Period (n) = 2 yearsSo by putting their values, we get:
[tex] { \large{\longrightarrow{ \rm{A = 5000 \left( 1 + \frac{ \frac{10}{2} }{100} \right)^{2 \times 2} }}}}[/tex]
[tex] { \large{ \longrightarrow{ \rm{A = 5000 \left( 1 + \frac{10}{2} \times \frac{1}{100} \right)^{4} }}}}[/tex]
[tex] {\large{ \longrightarrow{ \rm{A = 5000 \left( 1 + \frac{10 \times 1}{2 \times 100} \right)^{4} }}}}[/tex]
[tex]{ \large{ \longrightarrow{ \rm{A = 5000 \left(1 + \frac{10}{200} \right)^{4} }}}}[/tex]
[tex]{ \large \longrightarrow {\rm{A =5000 \left( \frac{200 \times 1 + 10}{200} \right)^{4} }}}[/tex]
[tex]{ \large \longrightarrow{ \rm{A = 5000 \left( \frac{200 + 10}{200} \right)^{4} }}}[/tex]
[tex]{ \large{ \longrightarrow{ \rm{A = 5000 \left( \frac{210}{200} \right)^{4} }}}}[/tex]
[tex]{ \large{ \longrightarrow{ \rm{A = 5000 \left( \frac{210}{200} \times \frac{210}{200} \times \frac{210}{200} \times \frac{210}{200} \right)}}}}[/tex]
[tex]{ \large{ \longrightarrow{ \rm{A = 5000 \left( \frac{210 \times 210 \times 210 \times 210}{200 \times 200 \times 200 \times 200} \right)}}}}[/tex]
[tex]{ \large{ \longrightarrow{ \rm{A = 5000 \left( \frac{1944810000}{1600000000} \right)}}}}[/tex]
[tex]{ \large{ \longrightarrow{ \rm{A = 5000 \times \frac{1944810000}{1600000000} }}}}[/tex]
[tex]{ \large{ \longrightarrow{ \rm{A = 5000 \times \frac{194481}{160000} }}}}[/tex]
[tex]{ \large{ \longrightarrow{ \rm{A = 5 \times \frac{194481}{160} }}}}[/tex]
[tex]{ \large{ \longrightarrow{ \rm{A = \frac{972405}{160} }}}}[/tex]
[tex]{ \large{ \longrightarrow{ \rm{A = 6077.53 \: (approx.)}}}}[/tex]
Hence, the amount is Rs 6078.
★ Now, we have to find the compound Interest:
According, to the question by using the formula, we get:
[tex]{ \large{ \dashrightarrow{ \boxed{\green{ \rm{Compound \: Interest = A \: - \: P}}}}}}[/tex]
Here,
Amount (A) = Rs 6078 Principal (P) = Rs 5000So, by putting their values we get:-
[tex] { \large{ \dashrightarrow{ \rm{Compound \: Interest = Rs \: 6078 \: - \: Rs \: 5000}}}}[/tex]
[tex]{ \large{ \dashrightarrow{ \rm{Compound \: Interest = Rs \: 1078}}}}[/tex]
Hence, Compound Interest is Rs 1078.
K (-2, 4) is a point on the terminal side of θ in standard form. Find the exact value of
sec (θ)
Answer:easy 8
Step-by-step explanation: first you have to use the distributive property and then combine like terms so k=8
What is the area of the shaded region? TYPE ONLY THE NUMERIC ANSWER GIVING BRAINLIEST
To get the area of the shaded region, we must subtract the area of the bigger triangle on the outside and the area of the smaller triangle inside the bigger triangle.
Set up the equation:
Area of big triangle - Area of small triangle = [tex]\frac{1}{2} *19*19 - \frac{1}{2} *13*13[/tex][tex]= \frac{1}{2} (19^{2} -13^{2} ) = \frac{1}{2}*192 = 96[/tex]
So the area of the shaded region is 96.
Hope that helps!
Which number line models the sum of 1 + (-2) correctly?
Answer:
-1
Step-by-step explanation:
1(+-)2=
step 1: a positive and a negative is a negative
1-2=-1
Answer:
-1
Step-by-step explanation:
negative and positive is negative
1+(-2)
1-2
-1
Find the perimeter.
x + 7y units
4x2 - x + 5y units
Answer:
4x^2 + 12y
Step-by-step explanation:
x + 7y + 4x^2 - x + 5y
4x^2 + 12y
Alice and Shivani went to lunch at a cafe. They ordered a spinach salad for $5.75, a tuna sandwich for $7.20, and 2 glasses of lemonade for $1.30 each. The tax was $1.55. They gave the waiter $20.00. How much change should they have received?
Answer:
$2.90
Step-by-step explanation:
Spinach $5.75
Tuna $7.20
2 lemonades $2.60
tax = $1.55
Sum = $17.10
Change = $20.00 - $17.10 = $2.90
(PLS HELP ASAP)
The vertices of a trapezoid are shown below.
(0, 6), (6, 12), (6, 9), (0, 12)
Which of the following points is a verse for the image produced by a dilation about the origin with a scale factor of 1/2?
A. (2, 8) B. (3, 3) C. (3, 6) D. (12, 24)
Answer: C
Step-by-step explanation:
Can you please find x with work??
Step-by-step explanation:
1. prove congruency
[tex]75 = (8x - 5) \: ( the \: angles \: are \: equal \: proven \: from \: congruency)\\ 75 + 5 = 8x \\ 80 = 8x \\ x = 10[/tex]
Remember that for this to work prove congruency first
Identify the hypothesis and conclusion in the conditional statement.
It is winter if it is February,
Drag and drop each correct answer into the appropriate box.
Hypothesis:
Conclusion:
it is not February
it is February
it is May
it is winter
[tex] \huge{ \rm{Answer:}}[/tex]
Hypothesis: It is winter
Conclusion: it is February
HOPE THIS HELPS^^
pls answer i will fail:-}
A pair of equations is shown below:
y = 2x − 1
y = 4x − 5
Part A: In your own words, explain how you can solve the pair of equations graphically. Write the slope and y-intercept for each equation that you will plot on the graph to solve the equations. (6 points)
Part B: What is the solution to the pair of equations? (4 points)
Answer:
Graphic Representation of the Equations is in the image above
Step-by-step explanation:
Solve by Substitution :
// Solve equation [2] for the variable y
[2] y = 4x - 5
// Plug this in for variable y in equation [1]
[1] (4x-5) - 2x = -1
[1] 2x = 4
// Solve equation [1] for the variable x
[1] 2x = 4
[1] x = 2
// By now we know this much :
y = 4x-5
x = 2
// Use the x value to solve for y
y = 4(2)-5 = 3
Solution :
{y,x} = {3,2}
y=2x-1
Slope=2y intercept=-1y=4x-5
Slope=4y inetrcept=-5Now graph both equations
Solution set:-
(2,3)What is the area of this trapezoid
20 POINTS AND BRAINLIEST!
Answer:
x=12
Step-by-step explanation:
Since it is on a right angle we can equate the sum of these 2 angles to 90:
3x+x+42=90
Simplify:
4x+42=90
Subtract 42 from both sides:
4x+42-42=90-42
Simplify:
4x=48
Divide both sides by 4
4x÷4=48÷4
Simplify
x=12
Answer:
Step-by-step explanation:
The overall angle in total is 90 degrees. The angles 'x+42' and '3x' equal ninety degrees, so we get the equation:
x + 42 + 3x = 90
4x + 42 = 90
4x = 48
x = 12
Hope that helps!
Use properties of equality and numbers to solve each equation for x.
a. 9 + 4x = 6x + 17
b. 4x - 9 = 6x + 17
c. 9- 4x = 6x +17
d. 4x + 9 = 6x - 17
Step-by-step explanation:
a. 9 + 4x = 6x + 17
4x - 6x = 17 - 9
-2x = 8
x = -4
b. 4x - 9 = 6x + 17
4x - 6x = 17 + 9
-2x = 26
x = -13
c. 9 - 4x = 6x + 17
9 - 17 = 6x + 4x
-8 = 10x
x = -8/10
d. 4x + 9 = 6x - 17
4x - 6x = -17 - 9
-2x = -26
x = 13
Find the value of x.
A. 8
B. 40
C. 10
D. 26
Answer:
ok well i need a image and or the full question x could = anything unless i can get the question the full question
Step-by-step explanation:
Solve for r. -49 = -7r
in a factory ,12 machines are used to produce an assignment of nailsin ninie days. if 6 machines are added to step up the production,find out how many days it will take to complete the assignment
Sophie's math teacher plots student grades on their weekly quizzes against the
number of hours they say they study on the pair of coordinate axes and then draws
the line of best fit. Based on the line of best fit, what quiz score should someone who
studied 5 hours expect?
=====================================================
Explanation:
The line of best fit here is y = 6x+62
m = 6 = slopeb = 62 = y interceptWe started at (0,62) and go up 6 units and to the right 1 unit each time we move along this line.
If we tried something like x = 1, then,
y = 6x+62
y = 6*1+62
y = 6+62
y = 68
Meaning that someone spending 1 hour per week doing homework would lead to an estimated score of 68. This matches what the graph shows, and it helps confirm we have the correct regression line equation.
Let's now plug in x = 5
y = 6x+62
y = 6*5+62
y = 30+62
y = 92
Someone doing 5 hours of homework per week is estimated to get a score of about 92.
Work out the value of (3^2)^2x(10^3)^2
Answer:
81,000,000
Step-by-step explanation:
[tex]( {3}^{2} )^{2} \times ({10}^{3} )^{2} \\ \\ = ( 9)^{2} \times (1000 )^{2} \\ \\ = 81 \times 1000000 \\ \\ = 81,000,000[/tex]
Given the measure of an interior angle of a regular polygon, how many sides does the polygon have?
177.75
Answer:
144 sides
Step-by-step explanation:
A swimming pool had 2.52.52, point, 5 million liters of water in it. Some water evaporated, and then the pool only had 222 million liters of water in it.
What percent of the water evaporated?
Answer:20% i know because i had a question like this
Please I need help ASAP!! What are the velocities of sound waves in air, helium, and carbon dioxide? Show your data. (Please no links.)
Answer: So for helium the equation above gives v= 973 m/s at STP, and 1,020 m/s at 298 K. Since the speed, frequency and length of a sound wave are related by the equation ν = v/λ, the frequency of a sound produced by a resonator of a particular length is proportional to the speed of sound in the particular gas that fills the resonator. For air at STP (0 °C and 1 atm), γ = 1.40, and v= √((1.40 × 8.314 J/mol·K ×273.16 K)/(2.8967 × 10-2kg/mol)) = 331 m/s.
Step-by-step explanation: I think this is right I'm not the best but hope it helps!
Elise built a large rectangular vegetable garden that is 9 meters long and has an area of 72 square meters. what is the perimeter
Answer:
34 m
Step-by-step explanation:
So you know one side of the garden is 9 meters long and you know that the area is 72 square meters. To find out the length of the other side you would divide 72 by 9 which gives you 8. tithe you add 8 and 9 together twice or 16 and 18. The end result is 34 m.
Hope this helped!
1. Multiply. (x^2-3x+4)(-2x^2+4x-1) Express your answer in standard form.
Hi,
Your answer would be: −2x4+10x3−21x2+19x−4
Hope I could help!~ have a good day/night :]
Felipe, an artist, plans to paint and sell some miniature paintings. He just bought some brushes for $11,
and paint and canvas for each painting costs $86; he will sell each painting for $87. Once Felipe sells a
certain number of his paintings, he will be breaking even. How much will Felipe have earned? How many
paintings will that be?
Answer:
11.
Step-by-step explanation:
He earns $1 more every Canvas he sells. 11 Canvases will cancel out the brushes.
one of the angle measures in an isosceles triangle is 40 degrees what could the other two angle measures be
Answer:
B and E
Step-by-step explanation:
An isosceles has two congruent (equal) angles and all of the angles add up to 180.
In option B, there are 2 congruent angles (70 and 70), and all the angles add up to 180 (70+70+40=180).
In option E there are 2 congruent angles (40 and 40), and all of the angles also add up to 180 (40+40+100=180).
The rest of the options do not fit the criteria for an isosceles triangle.
The area of one of the small right triangles outlined in blue is A cm2, while the area of the square outlined in red is B cm2. Which expressions show the area of the shaded region in terms of A and B? Check all that apply. 4A B 8A B 2A B 1. 5B 12A.
The expression shows the area of the shaded region in terms of A and B are 4A + B, 1.5B, and 12A.
What is the area of the triangle?The area of a triangle is defined as the total region that is enclosed by the three sides of any particular triangle.
Given
The area of one of the small right triangles outlined in blue is A cm2, while the area of the square outlined in red is B.
There are 4 triangles with an area of 4 so that is 4A and since there is only one square the area of the whole thing is 4A+B.
Each triangle is also equal to 1/8 of the square.
This means A=B/8 or B=8A.
First replacing B in the previous equation you get 4A+8A which is 12A.
Then replacing A with B/8 you get 4(B/8)+B which is B/2+B which is 3B/2 and 3/2 is 1.5 so 3/2B is equal to 1.5B.
Hence, the expression shows the area of the shaded region in terms of A and B are 4A + B, 1.5B, and 12A.
To know more about the area of the triangle click the link given below.
https://brainly.com/question/2009567
Solve please solve what does x mean
Answer:
x=65
Step-by-step explanation:
find the angles of the small square by completing the outer ones so the one on the left the missing one is 68 and the other side is 47, so 180= 68+47 + x
180= 115 + x
x= 65
I need help on this plsss
Answer:
120 yaaaaaaaaaaaapppp
A ship is traveling in a circle around the outside rim of an island park surveying a good place to land. If it is 10 miles from a lighthouse at the center of the island and 45° from due north, how far has the ship traveled from the most northern tip of the island to the nearest tenth?
Answer:
7.9 miles
Step-by-step explanation:
pi = 3.14
r = radius = 10 miles
c = circumference
substituting the values
c = 2pi*r
c = 2 * 3.14 * 10
c = 62.83 miles
The ship has traveled 45° due north
so,
d = ( total circular distance * 45 ) / 360
substituting the values:
we get;
d = ( 62.83 * 45 ) / 360
= 7.85 miles
= 7.9 miles
