Answer:
10.8
Step-by-step explanation:
54/5=10.8
Have a Nice Day and Good Luck!
Without graphing, determine whether the function y = ( 5 . 2 ) x represents exponential growth or exponential decay. Explain why.
Answer:
I am sorry I dont no
The 2nd term of an arithmetic progression is (1/2) and the sum of the first 14th terms is -70. Find
(a) the common difference
(b) the last term.
Answer:
The common difference is -1.
The last term (the 14th term) is -11.5.
Step-by-step explanation:
In an arithmetic sequence, the second term is 0.5 and the sum of the first 14 terms is -70.
We want to determine the: (a) common difference and (b) the last term.
We can write an explicit formula to represent the sequence. An arithmetic sequence can be modeled by the formula:
[tex]\displaystyle x_n=a+d(n-1)[/tex]
Where a is the initial term, d is the common difference, and n represents the nth term.
Since the second term is 0.5:
[tex]x_2=0.5=a+d(2-1)[/tex]
Simplify:
[tex]x_2=0.5=a+d[/tex]
The sum of an arithmetic sequence is given by the formula:
[tex]\displaystyle S=\frac{k}{2}\left(a+x_k\right)[/tex]
Where k is the number of terms and x_k is the last term.
Since the sum of the first 14 terms is -70, S = -70 and k = 14:
Using our explicit formula, the last term is:
[tex]x_{14}=a+d(14-1)=a+13d[/tex]
Substitute:
[tex]\displaystyle -70=\frac{14}{2}(a+(a+13d))[/tex]
Simplifiy:
[tex]-10=2a+13d[/tex]
Rewrite the equation for the second term:
[tex]a=0.5-d[/tex]
Substitute:
[tex]-10=2(0.5-d)+13d[/tex]
Simplify:
[tex]-10=1-2d+13d[/tex]
Solve for d:
[tex]d=-1[/tex]
Hence, our common difference is -1.
Solve for a, the initial term:
[tex]a=0.5-(-1)=1.5[/tex]
So, our explicit formula is now:
[tex]x_n=1.5-1(n-1)=1.5-n+1=2.5-n[/tex]
So, the last term (which is 14) is:
[tex]x_{14}=2.5-(14)=-11.5[/tex]
Which equation has no real solutions?
Answer:
C is the answer
Step-by-step explanation:
Point s is locaded 5 units to the right of point t plot the point that represents the location of point s select the place on the coordinate plane to plot the point
Answer:
See attachment for plot
Step-by-step explanation:
Given
[tex]t = (-1,2.5)[/tex] ---- coordinates of t
s = 5 units to the right of t
Required
Plot s
First, we determine the coordinate of s
The rule to translate a point to the right is:
[tex](x,y) \to (x + h,y)[/tex]
Where h is the number of units
i.e.
[tex]h= 5[/tex]
So, we have:
[tex]s = (-1 + 5, 2.5)[/tex]
[tex]s = (4, 2.5)[/tex]
See attachment for plot
6 ( 7y - 5) simplified
Answer:
42y-30
Step-by-step explanation:
here you go
Order the following in ascending order.
A library labels each book with a six-character code to identify the book in its computer system. The first character is either a letter or digit, and this is followed by three digits, then two letters. How many different codes are possible
Answer: There are 24336000 different codes that are possible.
Step-by-step explanation:
We know that,
Total alphabets = 26
Total digits = 10
Choices for First place = 26+10=36
Choices for next 3 places = 10 x 10 x 10 = 1000
Choices for last 2 places = 26 x 26 = 676
Total different codes are possible = 36 x 1000 x 676
=24336000
Hence, there are 24336000 different codes that are possible.
A recipe calls for 1 ¾ cups of flour. If the recipe is tripled, how much flour is needed?
Answer:
5 and 1/4 cups
Step-by-step explanation:
Break it down
.75 times 3 = 2.25
1 times 3 = 3
2.25 +3 = 5.25 or 5 1/4 cups
Answer:
5 and 1/4 = 5.25
Step-by-step explanation:
I converted 5 and 3/4 to 5.75. Then i just multiplied 5.75*3=5.25. 5.25 is equal to 5 and 1/4
Hope this helps :)
HELP ME WITH THIS ASAP
Answer:
13) non-regular pentagon (5-sides, all sides not equal)
14) regular hexagon (6-sides, all appear to be equal)
15) two pair of parallel sides without right angles is a parallelogram
16) two pair of parallel sides with four right angles is a rectangle; if all sides are equal then it is a square
Step-by-step explanation:
PLEASE HELP! ( no random links )
“How many servings of fruit did you eat yesterday?” Is this a statistical question or non-statistical question?
Answer:
This is not a statistical question
Step-by-step explanation:
A statistical question is a question the gathers varying data
Help! How do I find AC in this equation?
Answer:
33
Step-by-step explanation:
add 25 & 8 together
Answer:
SEE IMAGE FOR SOLUTION
Hope it helps
Have a great day
Verify that:
1. (CosX)(CotX) = CscX - SinX
2. (Csc X - CotX)^2 = 1-CosX/1+CosX
These were the last two questions on my Homework that I couldn’t figure out after many tries! Thank you to anyone who helps!
Answer:
See Below.
Step-by-step explanation:
Problem 1)
We want to verify that:
[tex]\displaystyle \left(\cos(x)\right)\left(\cot(x)\right)=\csc(x)-\sin(x)[/tex]
Note that cot(x) = cos(x) / sin(x). Hence:
[tex]\displaystyle \left(\cos(x)\right)\left(\frac{\cos(x)}{\sin(x)}\right)=\csc(x)-\sin(x)[/tex]
Multiply:
[tex]\displaystyle \frac{\cos^2(x)}{\sin(x)}=\csc(x)-\sin(x)[/tex]
Recall that Pythagorean Identity: sin²(x) + cos²(x) = 1 or cos²(x) = 1 - sin²(x). Substitute:
[tex]\displaystyle \frac{1-\sin^2(x)}{\sin(x)}=\csc(x)-\sin(x)[/tex]
Split:
[tex]\displaystyle \frac{1}{\sin(x)}-\frac{\sin^2(x)}{\sin(x)}=\csc(x)-\sin(x)[/tex]
Simplify:
[tex]\csc(x)-\sin(x)=\csc(x)-\sin(x)[/tex]
Problem 2)
We want to verify that:
[tex]\displaystyle (\csc(x)-\cot(x))^2=\frac{1-\cos(x)}{1+\cos(x)}[/tex]
Square:
[tex]\displaystyle \csc^2(x)-2\csc(x)\cot(x)+\cot^2(x)=\frac{1-\cos(x)}{1+\cos(x)}[/tex]
Convert csc(x) to 1 / sin(x) and cot(x) to cos(x) / sin(x). Thus:
[tex]\displaystyle \frac{1}{\sin^2(x)}-\frac{2\cos(x)}{\sin^2(x)}+\frac{\cos^2(x)}{\sin^2(x)}=\frac{1-\cos(x)}{1+\cos(x)}[/tex]
Factor out the sin²(x) from the denominator:
[tex]\displaystyle \frac{1}{\sin^2(x)}\left(1-2\cos(x)+\cos^2(x)\right)=\frac{1-\cos(x)}{1+\cos(x)}[/tex]
Factor (perfect square trinomial):
[tex]\displaystyle \frac{1}{\sin^2(x)}\left((\cos(x)-1)^2\right)=\frac{1-\cos(x)}{1+\cos(x)}[/tex]
Using the Pythagorean Identity, we know that sin²(x) = 1 - cos²(x). Hence:
[tex]\displaystyle \frac{(\cos(x)-1)^2}{1-\cos^2(x)}=\frac{1-\cos(x)}{1+\cos(x)}[/tex]
Factor (difference of two squares):
[tex]\displaystyle \frac{(\cos(x)-1)^2}{(1-\cos(x))(1+\cos(x))}=\frac{1-\cos(x)}{1+\cos(x)}[/tex]
Factor out a negative from the first factor in the denominator:
[tex]\displaystyle \frac{(\cos(x)-1)^2}{-(\cos(x)-1)(1+\cos(x))}=\frac{1-\cos(x)}{1+\cos(x)}[/tex]
Cancel:
[tex]\displaystyle \frac{\cos(x)-1}{-(1+\cos(x))}=\frac{1-\cos(x)}{1+\cos(x)}[/tex]
Distribute the negative into the numerator. Therefore:
[tex]\displaystyle \frac{1-\cos(x)}{1+\cos(x)}=\displaystyle \frac{1-\cos(x)}{1+\cos(x)}[/tex]
Help me!!!!!!!!! For 10 points
Answer: Hope this helps!
XYW=48 degrees
X=16
Step-by-step explanation:
So the angles are on a straight line. A straight line is 180 degrees. If you subtract 132 by 180 you get 48. Now to solve for x I divided 48 by 3. And I got 16.
Step-by-step explanation:
1). m∠ XYW = 180° - 132°
= 48°
2). 3x + 132 = 180°
3x = 180° - 132°
3x = 48°
x = 48/3
x = 16°
#CMIIWPls answer quick 45 points :))
Answer:
5
Step-by-step explanation:
Tres amigos han corrido una carrera de 20 corredores, sus 3 dorsales eran números de 2 cifras consecutivos y su producto era 2.730 ¿que número llevavan los tres amigos ne sus dorsales?
Answer:
Los números son: 13, 14, y 15.
Step-by-step explanation:
Un número de dos cifras puede escribirse como:
a*10 + b
Donde a y b son números entre 0 y 9.
3 números consecutivos entonces se escribe como:
a*10 + b
a*10 + b + 1
a*10 + b + 2
El producto de esos 3 números será:
(a*10 + b)*(a*10 + b + 1)*(a*10 + b + 2) = 2,730, pero sabemos que hay 20 corredores, entonces el máximo número de dos cifras posibles es 20.
Esto nos obliga a tomar a = 1 (porque si a fuera igual a dos, tendríamos números mayores a 20)
Entonces la ecuación es:
(1*10 + b)*(1*10 + b + 1)*(1*10 + b + 2) = 2,730
(10 + b)*(11 + b)*(12 + b) = 2,730
(110 + 21b + b^2)*(12 +b) = 2,730
1,320 + 110*b + 252*b + 21*b^2 + 12*b^2 + b^3 = 2,730
b^3 + 33*b^2 + 362*b + 1,320 - 2,730 = 0
b^3 + 33*b^2 + 362*b - 1,410 = 0
Ahora, sabemos que b tiene que ser un número entero entre 0 y 9, entonces simplemente podemos ir probando con distintos valores de b y ver cuál es solución de esa ecuación.
b = 0
0^3 + 33*0^2 + 362*0 - 1,410 = 0
-1,410 = 0
b = 0 no es una solución.
b = 1
1^3 + 33*1^2 + 362*1 - 1,410 = 0
-1,014 = 0
b = 1 no es una solución.
b = 2
2^3 + 33*2^2 + 362*2 - 1,410 = 0
-546 = 0
b = 2 no es una solución
b = 3
3^3 + 33*3^2 + 362*3 - 1,410 = 0
27 + 297 + 1,086 - 1,410 = 0
0 = 0
b = 3 es una solución.
Entonces los 3 números consecutivos son:
10 + 3 = 13
10 + 3 + 1 = 14
10 + 3 + 2 = 15
OMG PLS HELP/GEOMETRY
WHATS THE AREA OF SECTOR??
god bless
Answer:
16.4 yd²
Step-by-step explanation:
I promise this will work. If not, then I'm a fool.
Answer:
[tex]Area = \pi r^2 \frac{\theta}{360}[/tex]
[tex]= \pi \times 5 \times 5 \times \frac{75}{360} = 16.36yd^2[/tex]
Option 2 : 16.4 square yards
Consider the series One-fourth, StartFraction 1 Over 16 EndFraction + StartFraction 1 Over 64 EndFraction + StartFraction 1 Over 256 EndFraction + ellipsis
Which expression defines Sn?
Answer:
C, I got it right
Step-by-step explanation:
The two major types of series are the arithmetic series and the geometric series. The arithmetic series is characterized by common difference, while the geometric series has common ratio between two successive terms.
The sum of the given series is:
[tex]\lim_{n \to \infty} \frac{1}{3}(1 - \frac{1}{4}^n )[/tex]
The given series is a geometric series. So, we first calculate the common ratio (r) using:
[tex]r = T_2 \div T_1[/tex]
From the series, we have:
[tex]T_1 = \frac{1}{4}[/tex]
[tex]T_2 = \frac{1}{16}[/tex]
So, the equation becomes
[tex]r = \frac{1}{16} \div \frac{1}{4}[/tex]
Rewrite as product
[tex]r = \frac{1}{16} * \frac{4}{1}[/tex]
[tex]r = \frac{1}{4}[/tex]
The formula to calculate the sum of a geometric series of is:
[tex]S_n = \frac{a(1 - r^n )}{1-r}[/tex]
Where
[tex]a = T_1 =\frac{1}{4}[/tex] -- the first term
[tex]S_n = \frac{\frac{1}{4}(1 - \frac{1}{4}^n )}{1-\frac{1}{4}}[/tex]
Simplify the denominator
[tex]S_n = \frac{\frac{1}{4}(1 - \frac{1}{4}^n )}{\frac{3}{4}}[/tex]
Divide 1/4 by 3/4
[tex]S_n = \frac{1}{3}(1 - \frac{1}{4}^n )[/tex]
We can conclude that, the sum of the series is:
[tex]S_n = \lim_{n \to \infty} \frac{1}{3}(1 - \frac{1}{4}^n )[/tex]
Read more at:
https://brainly.com/question/21087466
help! (equivalent fractions)
it has three questions, please awnser the three! thank you!!!
Answer:
1. answer is 12
2. answer is 18
3. answer is 2
Plz help down below is the question
Answer:
The answer would be exactly 250 messages.
0.50 × x = $125
125÷ 0.50=250
Hope this helps!
pls help me with these and can you do them all and mitch you show me how to and I don't care if you use photo math thank you and use give me the best will be thank and brainlist.
The distance around a circle
Answer:
The distance around a circle is called perimeter uwu! ^^
Answer:
The distance around a rectangle or a square is as you might remember called the perimeter. The distance around a circle on the other hand is called the circumference (c). A line that is drawn straight through the midpoint of a circle and that has its end points on the circle border is called the diameter (d)
Step-by-step explanation:
The formula is simply this: C = πd. In this equation, "C" represents the circumference of the circle, and "d" represents its diameter. That is to say, you can find the circumference of a circle just by multiplying the diameter by pi.
Calculating the circumference of a circle (Pre-Algebra, More)
Which experiment has a uniform probability model? Select all that apply.
ASAP can one of y’all help me do surface how do you do it
Answer:
false
Step-by-step explanation:
solid A surface area-112
solid B surface area-136
to find the surface area of a rectangular prism the equation is 2(lw + lh + wh)
Solid A 4*8+4*2+8*2
32+8+16
56*2=112
Solid B 2*2+2*16+2*16
4+32+32
68*2=136
Ellise has 4 times as much money as her sister. If Ellise has php 10.40, how much money does her sister have?
Answer:Ellise's sister has php 2.4
Step-by-step explanation:
Let the amount of money Ellise sister has be = x
and amount Ellise has be =4x
since Ellise has php 10.40
her sister will have php 10.40/4 = php 2.4
Can you answer the question in the picture please?
Answer:
D)
Step-by-step explanation:
5x5+5=30
8x9+7=79
24x3+28=100
Given the coordinates of the endpoints of line segment GH as the following, G(4, 10)
and H(–2, –6).
Mohamed was trying to find the coordinates of the midpoint of line segment GH.
Below is his answer, check whether he is correct or not, if not, spot his mistakes.
Mohamed’s Answer:
The formula of the midpoint is: M = x1+ x22, y1+ y22
M = 4 +(-2)2, 10 + 62
M = (1, 8)
Answer:
(-1,-2)
Step-by-step explanation:
The given coordinates are ,
G ( 4 , 10)H ( -2 , -6)Midpoint can be calculated by finding the mean of x coordinates and y coordinates . As ,
→ Midpoint = ( 4-2/2 , 10-6/2)
→ Midpoint = ( -2/2 , -4/2 )
→ Midpoint = ( - 1 , -2)
Hence the midpoint is (-1,-2) .Find the value of x.
Answer:
18
Step-by-step explanation:
all angles of a triangle adds up to 180
90 + 25 + (3x+11) = 180
3x + 11 = 65
3x = 54
x = 18
Answer:
x= 18
90+25= 115
115-180= 65
65-11=54
54/3=18
Step-by-step explanation:
:)
AABC has vertices at (1,5), (4,8), and (16, 12). A second triangle, ADEF, has vertices at (4, 20), (16, 32), and (64, 48). If the two triangles are related by a dilation factor, which of the following could be a rule for the dilation?
Select one:
O (I,y) → (4x, 4y)
0 (x,y) → (6x, 6y)
O (x,y) → (2, y)
0 (r,y) → (16x, 16y)
Answer: the first one
Step-by-step explanation:
(x,y)->(4x, 4y)
Mr. Cobb is carpeting a 17.7 m long hallway. He has a piece of carpet 22 m long. How much does Mr. Cobb need to cut off the length of the piece of carpet?
Answer:5.7
Step-by-step explanation:
so how yall doing so whats 200 times 3/4 =
Answer:
200 times 3/4 is 150
Hope this help!
Brainliest??