Answers
Answer:
5c² + 4c - 4
Step-by-step explanation:
Subtract the shaded area from the area of the outer rectangle, that is
(2c + 3)(3c - 2) - (c + 2)(c - 1) ← expand both pairs of factors using FOIL
= 6c² + 5c - 6 - (c² + c - 2) ← distribute parenthesis by - 1
= 6c² + 5c - 6 - c² - c + 2 ← collect like terms
= 5c² + 4c - 4
Related Questions
simplify the equation. (5xE2 - 3x) - (5xE2 - 3x+1)
Answers
Answer:
[tex]\huge \boxed{\mathrm{-1}}[/tex]
Step-by-step explanation:
[tex](5xe^2 - 3x) - (5xe^2 - 3x+1)[/tex]
Distribute negative sign.
[tex]5xe^2 - 3x- 5xe^2 +3x-1[/tex]
Combine like terms.
[tex]0xe^2 +0x-1[/tex]
[tex]0-1=-1[/tex]
7. The annual interest rate is 20%. The balance after the grace period was $15,000. A payment of $2,500 was made on the 3rd day. What is the interest for the month?
Answers
Answer:
Interest (I) = $18
Step-by-step explanation:
$15,000 by the end of grace period
$2,500 payment was made by the 3rd day
$15,000/$2500=6
6×3=18
I = PRT/100
I = (15,000 × 20% × 18 days)/100
I = {15,000 × 0.2 × (18/30)}/ 100
I= {15,000 × 0.2 × 0.6}/ 100}
I= {1800}/ 100}
I= {18}/ 1}
Interest (I) = $18
solve for x 3x - 4 = 3x - 10
Answers
Answer:
no solution
Step-by-step explanation:
3x - 4 = 3x - 10
Subtract 3x from each side
3x-3x - 4 = 3x-3x - 10
-4 = -10
This is never true so there is no solution
Answer:
Step-by-step explanation:
I think you might have copied down the problem incorrectly.
If you try and solve this problem by moving the variables onto one side and the constants onto the other, you get:
3x-4=3x-10
+10 +10
3x+6=3x
-3x -3x
6=0 (which is FALSE)
Hope this helps!
P.S. Please give me brainliest. Thanks :)
how do you solve for 5/6w = 2/3 (the answer is w= 4/5) I just don’t know how to show it.
Answers
Answer:
5/6w=2/3
5/6(4/5)=2/3
20/30=2/3
20/30=10/15=2/3=2/3
Proof:
5/6w=2/3
6/5*5/6w=2/3*6/5
30/30w=2/3*6/5
w=12/15=4/5
Hope this helps ;) ❤❤❤
In Isosceles trapezoid ABCD, the longer base, AB, is one and one half times as long as the shorter base, CD. The other two sides, AD and BC, are both 13 cm. long. a. If the perimeter is 76 cm. find the lengths of AB and CD. b. If the height of the trapezoid is 12 cm. find its area. (Hint: Area
Answers
otal perimeter = 76cm = AB + BC + CD + AD
AD & BC = 13cm
AB = 1.5*(CD)
Solution:
Since we know AD & BC are both 13cm long, plug those numbers into the perimeter equation
76cm+=+AB+%2B+BC+%2B+CD+%2B+AD Place 13cm in for AD & BC
76cm+=+AB+%2B+13cm+%2B+CD+%2B+13cm Combine like terms
76cm+=+AB+%2B+CD+%2B+26cmSubtract 26cm from both sides
50cm+=+AB+%2B+CD Now it is time to substitute the 1.5*(CD) for AB
50cm+=+1.5%2A%28CD%29+%2B+CD rewrite the equation
50cm+=+2.5%2A%28CD%29 Divide both sides by 2.5
20cm+=+CD
To find AB, plug 20cm in for CD in the equation AB = 1.5*(CD)
AB+=+1.5%2A20cm
AB+=+30cm
Which could be the first step in simplifying this expression? Check all that apply.
Answers
Answer:
[tex](x^{-3})^2[/tex]
Step-by-step explanation:
applying the exponent rule to the inside of the bracket, x^3 x x^-6 = x^-3 since you add the exponents
Amy, a nature photographer, randomly sampled photographs she took within the last year. She wanted to find out how many of her photographs contained flowers. The proportion of photographs that had flowers was 0.61, with a margin of error of 0.04. Construct a confidence interval for the proportion of her photographs taken within the last year contained flowers.
Answers
The Constructed confidence interval for the proportion of her photographs taken within the last year contained flowers is
[tex]CI\ E(0.57,0.65)[/tex]
From the question we are told that:
The proportion of photographs that had flowers P= 0.61
Margin of error of M.E= 0.04
Generally, the equation for Confidence interval for proportion is mathematically given by
[tex]CI=0.61 \pm 0.04[/tex]P \pm M.E
Therefore Confidence interval is
[tex]CI=0.61 \pm 0.04[/tex]
And can also be written as
[tex]CI\ E((0.61+0.04),0.61-0.04))[/tex]
[tex]CI\ E(0.57,0.65)[/tex]
In conclusion the Confidence interval is
[tex]CI\ E(0.57,0.65)[/tex]
For more information on this visit
https://brainly.com/question/24131141?referrer=searchResults
what is the value of the discriminant of the quadratic equation −1 = 5x2 −2x, and what does its value mean about the number of real number solutions the equation has?
Answers
Answer:
-16, 0 real solutions. (Complex Roots)
Step-by-step explanation:
[tex]5x^2-2x=-1\\5x^2-2x+1\\A=5\\B=-2\\C=1\\(-b±√(b^2-4ac))/2a\\=\\=-2^2-4(5)(1)\\=4-20\\=-16[/tex]
find the area and perimeter of the figure and show work question 30
Answers
Answer:
Perimeter = 24 cm
Area = 27.6 cm²
Step-by-step explanation:
Perimeter = 8 + 8 + 8 = 24 cm
A(Triangle) = 1/2(8)(6.9) = 27.6 cm²
point O is at a distance named K from the line D. What should be the value of K if we want to find three points that their distance from line D is 4cm and from point O is 6cm?
1)4
2)8
3)2
4)3
and please tell me how to solve this, I'll mark you the brainliest
Answers
Answer:
the answer is number 3)2
Step-by-step explanation:
subtract the both
1.
Determine whether the matrices are inverses.
Answers
Answer:
No ... A* B=
-1 20
0 -1
which is not
is not 1 0
0 1
Step-by-step explanation:
10 1 0 1
-1 0 -1 10
-1 20
0 -1
Answer:
Hello,
the matrices are not inverses
Step-by-step explanation:
[tex]\begin{bmatrix}10&1\\-1&10\end{bmatrix}*\begin{bmatrix}0&1\\-1&10\end{bmatrix}\\\\\\=\begin{bmatrix}10*0+1*1&10*1+1*10\\-1*0+0*(-1)&-1*1+0*10\end{bmatrix}\\\\\\=\begin{bmatrix}1&20\\0&-1\end{bmatrix}\neq \begin{bmatrix}1&0\\0&1\end{bmatrix}\\[/tex]
A right triangle has one angle that measure 23o. The adjacent leg measures 27.6 cm and the hypotenuse measures 30 cm. What is the approximate area of the triangle? Round to the nearest tenth. Area of a triangle = One-halfbh 68.7 cm2 161.8 cm2 381.3 cm2 450.0 cm2
Answers
Answer:
161.8 cm²
Step-by-step explanation:
The given formula works if you have both legs of the triangle. Using the given information, a better formula is ...
A = (1/2)ab·sin(C) . . . . C is the angle between sides 'a' and 'b'
A = (1/2)(27.6 cm)(30 cm)sin(23°) ≈ 161.8 cm²
Answer:
B on edg 2020
Step-by-step explanation:
Just took test
A ball is dropped from the top of a building. The table shows its height in feet above ground at the top of each bounce. What is the height of the ball at the top of bounce 6?
Answers
Answer:
89.1
Step-by-step explanation:
As the ball bounces, the height lowers due to gravity, Goes down by 50, 40, 32, 26.6. It should continue to go down.
(If im wrong ill edit the answer.)
Will Give Brainliest, Answer ASAP
QS=
Answers
Answer:
[tex]\boxed{\sf QS = 98}[/tex]
Step-by-step explanation:
QP = PS [Diagonals are bisected(Divided into two equal parts) by the other diagonal of parallelogram]
So,
3x - 11 = 2x + 9
3x - 2x = 9 + 11
x = 20
Now,
QS = QP + PS
QS = 3x-11+2x+9
QS = 3(20)-11+2(20)+9
QS = 60 - 11 + 40 + 9
QS = 49 + 49
QS = 98
Answer: QS=98
Step-by-step explanation: diagonals are bisected by the other diagonal parallelogram
A sum of $46875 was lent out at simple interest and at the end of 1 yr 8 month, the total amount was $50000. Find the rate interest per year.
Answers
Answer:
4%
Step-by-step explanation:
As indicated in the question, this is a simple interest question.
The formula for Simple Interest =
I = Principal × Rate × Time
In the above question, we were given the following values.
A = Total value / amount of money = $50000
Principal = $46875
Rate = ??
Time = 1 yr and 8 months
= 1 year +(8/12)
Time = 1.6666666667 years
We are asked to solve for the rate interest per year. Hence, the formula to use to solve this question is given as:
r = (1/t)(A/P - 1)
r = (1/1.6666666667)(50000/46875 - 1)
r = 0.04
Converting to percentage, rate = 0.04 × 100 = 4%
Therefore, the rate interest per year is 4%
The sum and product of two numbers x and y are 3 and 1.25 respectively. Form two
equations involving x and y and solve them to obtain the possible values of x and of y.
Please solve thissss pleaseee I have test tomorrow
Answers
Answer:
X+Y=3........(1)
X×Y=1.25........(2)
i) In (1):X+Y=3
X=3-Y.......(3)
ii)Subt (3) in (2)
XY=1.25
(3-Y)Y=1.25
3Y -Y²=1.25
0=Y²-3Y+1.25
[tex] \frac{ - ( - 3) + \sqrt{( - 3) { }^{2} - 4(1)(1.25) } }{2(1)} [/tex]
Y=2.5 OR Y=0.5(when you substitute a minus -)
iii)Substitute the Y values in (3)
when simplifying the expression y=(2x(x-3)(x-3))/(x-1)(x-3) do all of the x-3 s get cancelled or just one in the numerator and one in the denominator?
Answers
Answer:
x-3 is cancelled and just one remains in numerator.
how do I answer these questions?
Answers
Answer:
cross multiplication would be the quickest technique that works to visualize this set of questions..
if [tex]\frac{a}{b} = \frac{c}{d}[/tex] then ad = bc
each item that does not have a denominator add a "1" as the denominator
so first item... [tex]\frac{sin(50)}{1} = \frac{x}{4}[/tex]
[tex]\frac{4 * sin(50) }{1} = x[/tex] x = [tex]4\sin \left(50^{\circ \:}\right)=3.06417\dots[/tex]
#b) [tex]3\tan \left(81^{\circ \:}\right)=18.94125[/tex]
#c) [tex]6\cos \left(33^{\circ \:}\right)=5.03202[/tex]
.
.
#g)[tex]7.1\tan \left(18.4^{\circ \:}\right)=2.36185[/tex]
Step-by-step explanation:
Answer:
First we extract the sin or the tan according to the question and multiply the number with the denominator and extract the x .
a)[tex] \sin(50) = \frac{x}{4} \\ 0.766 = \frac{x}{4} \\ x = 3.06[/tex]
b)[tex] \tan(81) = \frac{x}{3} \\ 6.31 = \frac{x}{3} \\ x = 18.93[/tex]
C)[tex] \cos(33) = \frac{x}{6} \\ 0.83 = \frac{x}{6} \\ x = 0.83 \times 6 \\ x = 4.98[/tex]
d)[tex] \cos(75 ) = \frac{x}{3.5} \\ 0.258 = \frac{x}{3.5} \\ x = 0.2588 \times 3.5 \\ x = 0.90[/tex]
e)[tex] \sin(24) = \frac{x}{4.2} \\ 0.406 = \frac{x}{4.2} \\ x = 0.406 \times 4.2 \\ x = 1.70 [/tex]
f)[tex] \tan(42) = \frac{x}{10} \\ 0.9 = \frac{x}{10} \\ x = 9[/tex]
g)[tex] \frac{x}{7.1} = \tan(18.4) \\ \frac{x}{7.1} = 0.33 \\ x = 0.33 \times 7.1 \\ x = 2.34[/tex]
h)[tex] \frac{x}{5.3} = \sin(64.7) \\ \frac{x}{5.3} = 0.9 \\ x = 4.77[/tex]
i)[tex] \frac{x}{12.6} = \cos(52.9) \\ \frac{x}{12.6} = 0.6 \\ x = 0.6 \times 12.6 \\ x = 7.56[/tex]
I hope I helped you^_^
WikiTongues has
videos of 500 different
languages from around the
world. What percent of the
7,111 total languages
spoken globally
is represented on
WikiTongues?
Answers
Hey there! I'm happy to help!
We see that 500 languages is a certain percent of the 7,111 total languages. When working with percent equations, the word "is" means "equals", and "of" usually means "multiplied by" This means that 500 is equal to a certain percent multiplied by 7,111. We can use p to represent this certain percent and create an equation below.
500=7,111p
Let's flip the equation around so the p is on the left side. Variables are usually supposed to be on the left.
7,111p=500
We divide both sides by 7,111.
p=0.0703
As a percent, this is about 7.03%. Therefore, about 7.03% of the total languages spoken globally are represented on WikiTongues.
I hope that this helps! Have a wonderful day! :D
Answer:
7.03 %
Step-by-step explanation:
500 / 7,111 = 0.07031359865
0.07031359865 x 100 = 7.03 %
Lainey runs a string of lights from the ground straight up a door that is 2.5 m tall. Then he runs the rest of the string in a straight line to a point on the ground which is 6 m from the base of the door frame. There are 10 lights per meter of the string. How many total lights are on the string?
Answers
Answer:
150 because 2.5 × 6 = 15 × 10 = 150
10 pipes can fill a tank in 16 minutes,in how many minutes would 8 pipes fill the same tank ,proportion question
Answers
Answer:
Hello,
Step-by-step explanation:
The volume of the tank is V, p is number of pipes, t the time, k as constant.
V=k*p*t
V=k*10*16 ==> k=V/160
V=k*8*t
V=V/160*8*t ==>1=8/160*t ==> t=160/8=20
Time to use: 20 min.
Subtract the matrices
Answers
Answer:
pleas learn subtraction
Step-by-step explanation:
so it can make you better in math
Answer:
[tex]\large \boxed{\mathrm{Option \ A}}[/tex]
Step-by-step explanation:
[tex]{\mathrm{view \ attachment}}[/tex]
hi! i need to know the cube root of minus one!! just let me know down there!
Answers
Answer:
[tex]\large \boxed{\mathrm{-1}}[/tex]
Step-by-step explanation:
[tex]\sqrt[3]{-1}[/tex]
Apply radical rule:
[tex]\sqrt[n]{-1}=-1[/tex]
If [tex]n[/tex] is odd.
[tex]\sqrt[3]{-1}=-1[/tex]
help, i'll give a brainliest
Answers
Answer:
xoooxoooooo
Step-by-step explanation:
love is the answer to everythinggg
How can you change a rational number to a decimal? Can you give an exsample?
Answers
Answer:
1/2=0.5
Step-by-step explanation:
¼=0.25
¾=0.75
Plzz help me with this question my class test is going on
Answers
Step-by-step explanation:
2x+3y+5+4x-7y-8
2x+4x+3y-7y+5-8
6x-4y-3
Answer:
6x - 4y - 3
Step-by-step explanation:
They are basically telling you to sum both equations. So,
(2x + 3y + 5) + (4x - 7y - 8)
= 2x + 4x + 3y - 7y + 5 - 8
= 6x - 4y - 3
PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER PLS GIVE ME A STEP BY STEP EXPLANATION!!
Carl and Nicole are raising money to purchase basketballs for their school's team. The more money they raise, the more basketballs they will be able to purchase for the school. What is the independent variable?
A. the number of students on the team
B. the number of students in the school
C. the amount of money that is raised
D. the number of basketballs
Answers
Answer:
C. The amount of money that is raised
Step-by-step explanation:
in the equation, it is the amount of money that is raised because how much money is raised affects the amount of basketballs purchased.
In other words, if the amount of money is less, then there will be less basketballs purchased as a result. If the amount of money is more, then there will be more basketballs purchased as a result.
Answer:
C. the amount of money that is raised
Step-by-step explanation:
I always think of it like this:
independent: money they are raising
dependent: the amount of a certain item the money is being used on
Reduce any fractions to lowest terms. Don't round your answer, and don't use mixed fractions. 4x+4\leq9x+84x+4≤9x+8
Answers
Answer:
x ≥ -4/5
Step-by-step explanation:
Maybe you want to solve ...
4x+4 ≤ 9x +8
0 ≤ 5x +4 . . . . . subtract 4x+4
0 ≤ x +4/5 . . . . . divide by 5
-4/5 ≤ x . . . . . . . subtract 4/5
Answer:
x ≥−4/5
Step-by-step explanation:
What is the 8th term of the sequence? −16, 24, −36, 54, ... −729/8 2187/8 −2187/8 729/8
Answers
Answer:
The answer is
[tex] \frac{2187}{8} [/tex]Step-by-step explanation:
The sequence above is a geometric sequence
For an nth term in a geometric sequence
[tex]A(n) = a ({r})^{n - 1} [/tex]
where n is the number of terms
r is the common ratio
a is the first term
From the question
a = - 16
To find the common ratio divide the previous term by the next term
That's
r = 24/-16 = -3/2 or -36/24 = - 3/2
Since we are finding the 8th term
n = 8
Substitute the values into the above formula
That's
[tex]A(8) = - 16 ({ - \frac{3}{2} })^{8 - 1} [/tex][tex]A(8) = - 16 ({ - \frac{3}{2} })^{7} [/tex][tex]A(8) = - 16( - \frac{2187}{128} )[/tex]We have the final answer as
[tex]A(8) = \frac{2187}{8} [/tex]Hope this helps you
Subtract – 7x2 + 4x + 2 from x2 – 3.
Answers
Answer:
8x^2 - 4x - 5
See the steps below for better explanation: