Answer:
well, we only no that
2l + 2w is 80
(lengths and widths on all 4 sides
and that w * l is A
so the function should be w times what's left for l, but also expressed by something with w
2l + 2w = 80 | -2w
2l = 80 -2w | devide by 2
l = 80 - w
now we can substitute l in
A = w * l
so that we only need w's
A(w) = w * (80-w)
for any w it will give us the area, makes only sense for 0<w<80
4.3 Given a circle with radius 4 cm, calculate (Use n = 3,14)
The circumference, rounding off to two decimal places.
Answer:
25
as
2nr
=2×3.14×4
=25.12
=25
find the first 5 terms in 3n^2/2
Write the explicit formula for the sequence below and use it to find the 16th term:
6, -24, 96, -384, . . .
Given:
The sequence is:
[tex]6, -24, 96, -384,...[/tex]
To find:
The explicit formula for the given sequence and then find the 16th term.
Solution:
We have,
[tex]6, -24, 96, -384,...[/tex]
The ratio between two consecutive terms are:
[tex]\dfrac{-24}{6}=-4[/tex]
[tex]\dfrac{96}{-24}=-4[/tex]
[tex]\dfrac{-384}{96}=-4[/tex]
The given sequence has a common ratio. So, the given sequence is a geometric sequence with first term 6 and common ratio [tex]-4[/tex].
The explicit formula of a geometric sequence is:
[tex]a_n=ar^{n-1}[/tex]
Where, a is the first term and r is the common ratio.
Putting [tex]a=6, r=-4[/tex] in the above formula, we get
[tex]a_n=6(-4)^{n-1}[/tex]
We need to find the 16th term. So, put [tex]n=16[/tex] in the above formula.
[tex]a_n=6(-4)^{16-1}[/tex]
[tex]a_n=6(-4)^{15}[/tex]
[tex]a_n=6(-1073741824)[/tex]
[tex]a_n=-6442450944[/tex]
Therefore, the explicit formula for the given sequence is [tex]a_n=6(-4)^{n-1}[/tex] and 16th term of the given sequence is [tex]-6.442450944[/tex].
How long will it take Seb to run 4000 m at an average speed of 5 m/s?
Give your answer in minutes and seconds.
Answer:
800 seconds or 13 minutes 20 seconds
Step-by-step explanation:
.......
What scale factor, as a percent, was applied to create the copy?
A. 50%
B. 75%
C. 125%
D. 150%
Please give me the answer and show me how you solved it
Answer:
11/2 miles per hour
Step-by-step explanation:
that is the procedure above
E(-2,-1) and F(-2,-5) what is the distance in each pair of points
Answer:
6 units
Step-by-step explanation:
E(-2 , -1) = (x1 , y1)
F(-2 , -5) = (x2 , y2)
distance = [tex]\sqrt{(x2 - x1)^2 + (y2 - y1)^2}[/tex]
=[tex]\sqrt{(-2 - (-2))^2 + (-5 - (-1))^2}[/tex]
=[tex]\sqrt{(-2 + 2)^2 + (-5 + 1)^2[/tex]
=[tex]\sqrt{0^2 + 6^2}[/tex]
=[tex]\sqrt{36}[/tex]
= 6 units
pls explain the answer
Answer:
even
Step-by-step explanation:
itz even cos it is divisible by 2
Answer:
6 is even number.
Step-by-step explanation:
An even number is a number that can be divided into two equal groups.
An odd number is a number that cannot be divided into two equal groups.
for example, if 6 divided into 2 groups then 3 in one group and 3 in another group, therefore there are equal groups.
if 7 divided into 2 groups then 3 in one group and 4 in another group, which is not equal.
Answer all the of the question plsss, and I might give you more points after. I need this plssssssss ty lol. Show all work too.
Answer:
(3, 6)
Step-by-step explanation:
[tex]y=4x-6[/tex]
[tex]6=4(3)-6[/tex]
[tex]6=12-6[/tex]
[tex]6=6[/tex]
[tex]3y=-2x+24[/tex]
[tex]3(6)=-2(3)+24[/tex]
[tex]18=-6+24[/tex]
[tex]18=18[/tex]
x = 3, y = 6
By substitution method,
[tex]y = 4x - 6[/tex]
[tex]3y = - 2x + 24[/tex]
[tex] \frac{3y - 24}{ - 2} = x[/tex]
[tex]y = 4( \frac{3y - 24}{ - 2} ) - 6[/tex]
[tex]y = \frac{12y}{ - 2} + \frac{ - 96}{ - 2} - 6[/tex]
[tex]y = \frac{12y}{ - 2} + 48 - 6[/tex]
[tex]y = \frac{12y}{ - 2} + 42[/tex]
[tex]y - 42 = \frac{12y}{ - 2} [/tex]
[tex] - 42 = \frac{12y}{ - 2} - y[/tex]
[tex] - 42 = \frac{12y}{ - 2} - \frac{ - 2y}{ - 2?} [/tex]
[tex] - 42 = \frac{12y + 2y}{ - 2} [/tex]
[tex] - 42 = \frac{14y}{ - 2} [/tex]
[tex] - 42 \times - 2 = 14y[/tex]
[tex]84 = 14y[/tex]
[tex] \frac{84}{14} = y[/tex]
[tex]6 = y[/tex]
[tex]\frac{3(6) - 24}{ - 2} = x[/tex]
[tex] \frac{18 - 24}{ - 2} = x[/tex]
[tex] \frac{ - 6}{ - 2} = x[/tex]
[tex]3 = x[/tex]
Therefore,
The solution is (3, 6).
1. Relaciona cada situación con los conceptos básicos de la geometría. Explica tu respuesta. a. Una estrella en el cielo. b. Un rayo de luz. c. La superficie del agua en un lago. 2. Escriba falso o verdadero, según corresponda; luego represente gráficamente para justificar su respuesta. a. Dados dos puntos distintos, hay exactamente una recta que los contiene. b. Dos rectas que se intersectan determinan un plano. c. Tres puntos diferentes no colineales determinan un plano.
Answer:
Una estrella en el cielo está relacionada con un punto de geometría básica.
Un punto es un objeto matemático que tiene una dimensión 0, pero que se puede especificar en un espacio de n dimensiones, utilizando coordenadas 'n'
Una estrella se puede ubicar usando un sistema de coordenadas, y las dimensiones de la estrella no se pueden estimar fácilmente a partir de su apariencia.
B. Un rayo de luz está relacionado con un rayo en geometría básica.
Un rayo en geometría básica, tiene un punto de inicio definido, pero no tiene fin, por lo tanto, un rayo de luz está relacionado con un rayo en geometría básica
C. La superficie del agua en el lago está relacionada con un plano en geometría básica.
La superficie del agua es una superficie coplanar, de manera que las cuatro esquinas y otros puntos existen en el mismo plano (la superficie del agua), lo que equivale al plano, que también tiene 3 o más puntos en el mismo nivel.
2. a. Cierto
Por favor el dibujo adjunto
DD DD
B. Cierto
Por favor el dibujo adjunto
DD SS DD SS
C. Cierto
Por favor el dibujo adjunto
DD SS DD SS
Step-by-step explanation:
which are like terms
will give brainest if correct
Answer:
3ad³
Step-by-step explanation:
Like terms have same variables with same powers.
12ad³ and 3ad³ has same variables a and d³
which graph is the graph of f(x)= (x - 1)/(x + 2) ?
Answer:
going clockwise from upper left the correct graph is the 2nd one
Step-by-step explanation:
asymptote at -2
A family tree business removes overgrown trees for 3 months in the summer. In June, they removed 1/3 the number of trees as they did in July. In August, they removed twice the number of trees as they did in July. They removed less than 1000 trees in the three months. What is the maximum number of trees they removed in July?
Answer: 299
Step-by-step explanation:
Given
Family removes one-third of tress in June as much as they dd in July
They remove twice the number of July in august
Suppose they removed x trees in July
for June it is, [tex]\frac{x}{3}[/tex]
for August, it is [tex]2x[/tex]
If they removed less than 1000 tress in 3 months
[tex]\Rightarrow \dfrac{x}{3}+x+2x<1000\\\\\Rightarrow \dfrac{x+3x+6x}{3}<1000\\\\\Rightarrow \dfrac{10x}{3}<1000\\\\\Rightarrow \dfrac{x}{3}<100\\\\\Rightarrow x<300[/tex]
So, maximum number of tress removed in July is 299
In how many year the interest will became equal to the principal is rs.1200 is deposited at the rate of 25% in a bank
Given:
Principal = Rs. 1200
Rate of interest = 25%
To find:
The time in which the interest will became equal to the principal.
Solution:
We have,
[tex]P=1200[/tex]
[tex]r=\dfrac{25}{100}[/tex]
[tex]r=0.25[/tex]
If interest is equal to the principal, then
[tex]Amount=Principal+Interest[/tex]
[tex]Amount=1200+1200[/tex]
[tex]Amount=2400[/tex]
The formula for amount is:
[tex]A=P\left(1+r)^n[/tex]
Substituting [tex]A=2400, P=1200, r=0.25[/tex] in the above formula, we get
[tex]2400=1200(1+0.25)^n[/tex]
[tex]\dfrac{2400}{1200}=(1.25)^n[/tex]
[tex]2=(1.25)^n[/tex]
Taking log on both sides, we get
[tex]\log2=\log(1.25)^n[/tex]
[tex]\log2=n\log(1.25)[/tex] [tex][\because \log a^b=b\log a][/tex]
[tex]\dfrac{\log2}{\log(1.25)}=n[/tex]
[tex]n\approx 3.11[/tex]
Therefore, the interest will became equal to the principal in about 3.11 years.
7. A clothing trunk is 30 inches tall, 48 inches wide,
and 24 inches deep. How many cubic feet will the
Hrunk hold?
Answer:
34,560 in^3
Step-by-step explanation:
A clothing trunk is 30 inches tall, 48 inches wide, 24 inches deep
The amount is cubic feet the trunk will hold can be calculated as follows
= 30×48×25
= 34,560 in^3
If c is the number of cats, which variable expression represents the phrase
below?
The sum of the number of cats and 15 dogs
A. c•15
B. C+15
C. C-15
D.C/15
Can someone help me?It's urgent and thank you!
Answer:
5 is added to the product of 4 and 3
A cardboard carrying box has the dimensions shown below. How many square inches of cardboard are needed to make the box?
Answer:
Step-by-step explanation:
D- 344
Has 1000 seats there are 424 adults and 339 children sitting in seats how many of the seats are a movie theater has 1000 seats there are 424 adults and 339 children sitting in seats how many of the seats are empty
Answer:
263
Step-by-step explanation:
424+339=764
1000-764=236
answer?? please answer
Answer:
The slope of function A is less than the slope of function B
Step-by-step explanation:
Function A:
Slope is given in 1/3x the slope is 1/3
Function B:
Slope is -8 /-12 = 2/3
Compare:
1/2<2/3
function a is less than function b
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
Find m∠ABC.
132°
48°
19°
21°
Answer:
Step-by-step explanation:
48
AABC has points located at A(1, 3) B(-2, 2) C(4, 0). AABC is rotated 180° CCW about the origin then translated (x + 0, y-5). Identify the location of A A”B”C"
Answer:
i think the new points are
A(1,-2)
B(-2,-3)
C(4,5)
Step-by-step explanation:
i plugged it in
If the circumference of a circle is 10π inches, what is the area, in square inches, of the circle?
Answer:
25π square inches or 78.5 sq in
Step-by-step explanation:
circumference = π x diameter
thus
10 π inches= π x d
d = 10 inches
area of circle = π x d x d / 4
= π x 10 x 10 x 4
= 25π sq in
= 78.5 sq in
Which shows a quadratic function?
Answer:
OPTION B IS YOUR ANSWER.
You know its a quadratic when the second difference of each y value is same.
Here's what I mean.
Option B
First all x values differ by 1. So we're good on those.
Now for the y values
Which are
3, -1, -3, -3, -1
find the difference between the second and first fod each... Then do this a second time.
If it gives the same value for all the second differences... Then its quadratic.
-1-3 = -4
-3-(-1) = -3 + 1 = -2
-3-(-3) = -3 + 3 = 0
-1-(-3) = -1 + 3 = 2.
The values are -4, -2, 0, 2.
Now find the difference of these(2nd - 1st)
-2-(-4) = -2 + 4 = 2
0-(-2)= 0 + 2 = 2
2 - 0 = 2
Since all second differences gave 2 as their answer....
Option B is your Quadratic Function!!!
Hope this helps!
hey what's the answer
Liliflim pls answer this if u know !
pls with full explanation
Answer:
I hope the above attachment helps you mate
Have a great day
[tex]#Liliflim[/tex]
Answer:
Solution given;
a⁴-23a²b²+b⁴
making in the form of a²+2ab+b²
a⁴+2a²b²+b⁴-2a²b²-23a²b²
(a²+b²)²-(5ab)²
factoring by using formula
x²-y²=(x+y)(x-y)
(a²+5ab+b²)(a²-5ab+b²)
Round to the nearest tenths place30.06858282
Answer:
30.1
Step-by-step explanation:
Have a great summer :)
What is the value of the following expression? 5.5(k+7), when k= -7
Answer:
0
Step-by-step explanation:
5.5(-7+7)
5.5(0)
0
Answer:
0
Step-by-step explanation:
putting k = -7
=> 5.5. ( -7 × 7)
=> 5.5 × 0
=> 0
since any number we multiplied by zero is zero
Please help. I will give brainliest. thank you. math isn't my strong suit lol.
Answer:
b) 1
Step-by-step explanation:
First, bring the -3 to the right side.
x²+4x + 4
now use b²-4ac.
4²-4(1)(4)
16-16
0
If discriminant < 0 there are 2 imaginary solutions
if discriminant > 0 there are 2 real solutions
if discriminant = 0 there is 1 real solution
The discriminant here is 0 so it has one real solution
Helppppppppppppp meeeeeeeeeeeeeeeeeeeeeeeeeeeee
Answer:
4.4
Step-by-step explanation:
that is the procedure above
Please give real answers with an explaination. 50 points + I will follow + I will give brainliest + 5-star rated. No Docs/No Files/No Links only answer with explaination.
Answer:
B
Step-by-step explanation:
Look at the figures below.
Figure A.
The median of a quadrilateral was drawn as the red segment. It split the interior angle of the quadrilateral into angles 1 and 2. Angles 1 and 2 are clearly not congruent. Statement A is false.
Figure B.
The red segment connecting the midpoints of two sides of a triangle is parallel to the third side and half its length. Statement B is true.
Figure C.
The red midsegment cuts the triangle into two areas, crosshatched in blue and green. The areas are clearly not equal, so statement C is false.