Answer:
Step-by-step explanation:
Arithmetic sequaence:
[tex]\sf a_n = -3(4)^n - 1\\\\a_1=-3*4^1 -1\\\\ = -3*4 - 1\\\\ = -12 - 1\\\\a_1=-13[/tex]
[tex]a_2 = -3*4^2-1\\[/tex]
= -3*16 -1
= -48 - 1
= -49
difference = second term - first term
= -49 -(-13)
= -49 + 13
d = -36
[tex]\boxed{S_n=\dfrac{n}{2}[2a + (n-1)d]}[/tex]
[tex]\sf S_5=\dfrac{5}{2}*[2*(-13} + 4*(-36)]\\\\ =\dfrac{5}{2}[-26-144]\\\\=\dfrac{5}{2}*(-270)[/tex]
= 5*(-135)
= -675
Order the numbers from least to greatest. −34, 0.5, 23,−73, 1.2 The order of the numbers from least to greatest
Answer:
-73, -34, 0.5, 1.2, 23
Step-by-step explanation:
Hope this helps:)....if not sorry for wasting your time and may God bless you:)
Calculate the perimeter of the semi-circle below. Use 3.14 to approximate π.
12 cm
37.902
Step-by-step explanation:
3.14x12+12
A cat weighs8 1/4pounds.
How many ounces does the cat weigh?
The answer is C 132oz
Answer:
132 ounces
Step-by-step explanation:
1 pound = 16 ounces
8 1/4 x 16 = 132
Andrew drinks 1.9 litres of water each day for three years. By rounding the amount of water an the number of days to one significant figure find the approximate amount of water he drinks during the three years. [One year = 365 or 366 days]
Answer:
2081days or 2086days
Step-by-step explanation:
1.9(365)=693.5
1.9(366)=695.4
693.5(3)=2080.5
695.4(3)=2086.2
A coin is flipped 8 times. Find the probability of the event:
exactly 6 heads
A.0.4375
B.0.75
C.0.0039
D.0.109
b. 0.75 because if you flip it 8 times and get heads 6 times, the probability would be 6/8 and that would simplify to 3/4 (0.75).
Answer:
D. 0.109
Step-by-step explanation:
Just did the test, its not B
What's the value of X in the figure
145 (degrees) X (2x + 15)
Answer:
x=65°
Step-by-step explanation:
2x + 15= 145
2x+15-15=145-15 (Subtract)
2x=130 (Simplify)
2x/2=130/2 (Divide)
x=65 ← (Answer)
^^
。☆✼★━━━━━ ( ~ ) ━━━━━━━★✼☆。
which number is equivalent to 5√8 x 3√4
A. 15√2
B. 60√2
C. 30√3
D. 60√3
Answer:
B
Step-by-step explanation:
5×sqrt(8)×3×sqrt(4) = 15×sqrt(8)×sqrt(4) = 15×sqrt(8)×2 =
= 30×sqrt(8) = 30×sqrt(4×2) =
= 30×2×sqrt(2) = 60×sqrt(2)
the product of two consecutive odd number is 143 find those two odd numbers show ll workings
Answer:
11,13
11×13=143
Step-by-step explanation:
please mark me as brainlest
I need help with this question 80 pts
Answer:
65
Step-by-step explanation:
angle 2 is equal to angle 4, so that means angle 4 is also 130⁰.
130=2y
130/2=2y/2
65=y
Answer:
y = 65°
Step-by-step explanation:
Vertical Angle Theorem: When two straight lines intersect, the opposite vertical angles are always equal (congruent) to each other.
⇒ m∠2 = m∠4
⇒ 130° = 2y
⇒ y = 130° ÷ 2
⇒ y = 65°
Help help help help help hel
Answer:
12
Step-by-step explanation:
P = 8
Q = 16
The value of PQ = 16 - 8 = 8
Since M is the midpoint of PQ,
PM = MQ
PM + MQ = PQ
PM + PM = PQ
2 PM = 8
PM = 8 / 2
PM = 4
The value of M
= 8 + 4
= 12
Answer:
M = 12
Step-by-step explanation:
If you want to find the midpoint between the numbers 8 and 16, follow the simple steps below.
First, add the two numbers: 8 + 16 = 24
Secondly, divide the total by 2: 24/2 = 12
The midpoint between 8 and 16 is 12.
hope this helps!! p.s. i really need brainliest :)
PLEASE HELP WILL MARK BRAINLIEST THANK YOU
Complete the net worth statement. What is the net worth of the individual?
A) $171,645
B) $19,950
C) $21,000
D) $26,595
Considering it's concept, it is found that the net worth of the individual is given by:
D) $26,595.
What is the net worth of an individual?It is given by the sum of the individual assets subtracted by the sum of it's liabilities.
Researching the problem on the internet, we have that:
The sum of the assets, in dollars, is of 545 + 165000 + 6100 = 171645.The sum of the liabilities, in dollars, is of 144000 + 1050 = 145050.Hence, his net worth is given by:
N = 171645 - 145050 = $26,595.
More can be learned about net worth at https://brainly.com/question/12371230
The net worth of the individual with assets worth $171,645 and liabilities of $145,050 is D) $26,595.
What is the net worth?The net worth is the value of assets less the value of liabilities.
The net worth shows the amount by which the assets have increased or decreased in value versus the liabilities.
Data and Calculations:Assets = $171,645
Liabilities = $145,050
Net worth = $26,595 ($171,645 - $145,050)
Thus, the net worth of the individual with assets worth $171,645 and liabilities of $145,050 is D) $26,595.
Learn more about net worth at https://brainly.com/question/12371230
Two students each write a function, C(n), that they think can be used to find the number of circles needed to make the nth figure in the pattern shown.
Use the drop-down menus to explain why each function does or does not represent the number of circles needed to make the nth figure in the pattern.
The function that can be find used to find the number of circles needed to make the nth figure in the sequence is (C + 1) + 4.
How to calculate the sequence?The sequence can be illustrated through the function (C + 1) + 4 where C is the previous number. For the third picture, the number of circles will be:
= (C + 1) + 4
= 5 + 4
= 9
The fourth term will be:
= 9 + 4
= 13
Therefore, each figure uses 4 circles more than the previous one.
Learn more about sequence on:
https://brainly.com/question/6561461
Answer:
Step-by-step explanation: This function can be used to find the number of circles needed to make the nth figure in the pattern.
Each figure uses 4 more circle(s) than the previous figure because an additional circle is added to the top, bottom, left, and right sides.
the other half i got incorrect.
What is the horizontal distance from the origin to the point (1,4)
Answer:
given ,
a point , let's say , A( 1 , 4 ) on the cartesion plane.
to find - the horizontal distance of the point from the origin.
[tex]\underline\bold{using \: Distance \: formula \:} \\ \\ d(AO) = \sqrt{( x_{2} - x_{1}) {}^{2} +( y_{2} - y_{1}) {}^{2} } \\ \\ d(AO) = \sqrt{(1 - 0) {}^{2} + (4 - 0) {}^{2} } \\ \\ d(AO) = \sqrt{1 + 4} \\ \\ d(AO) = \sqrt{5} units [/tex]
hope helpful :D
The graph displays a linear function.
Answer:
[tex]y = -\frac{2}{3}x +0[/tex] OR [tex]y = -\frac{2}{3}x[/tex]
Step-by-step explanation:
First, find the slope (m) using two points (0,0) and (-6, 4)
m = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]m=\frac{4-0}{-6-0} \\\\m=\frac{4}{-6}\\\\m=\frac{2}{-3}\\\\m=-\frac{2}{3}[/tex]
[tex]y=mx+b[/tex]
[tex]y = -\frac{2}{3}x +b[/tex]
Now, we find b using (-6, 4)
[tex]y = -\frac{2}{3}x +b[/tex]
[tex]4 = -\frac{2}{3}(-6) +b\\\\4 = \frac{12}{3} +b\\\\4 = 4 +b\\\\-4 -4\\\\0=b[/tex]
[tex]y = -\frac{2}{3}x +0[/tex] OR [tex]y = -\frac{2}{3}x[/tex]
Hope this helps!
(2x+3)+(5x17)+90=180
Answer:
x=10
Step-by-step explanation:
Answer:
x is 10 degrees
Step-by-step explanation:
180-90=90
(2x+3)+(5x+17) = 90
7x+20=90
7x=70
x=10
What is the solution to this system of
equations?
6x - 2y = 8
1-3x + y = -4
A. No Solution
B. (0, -4)
C. Infinite Solutions
Answer:
No solution
Step-by-step explanation:
System of Linear Equations given :
[1] 6x-2y=8
[2] 1-3x+y=-4
Equations Simplified or Rearranged :
[1] 6x - 2y = 8
[2] -3x + y = -5
Solve by Substitution :
// Solve equation [2] for the variable y
[2] y = 3x - 5
// Plug this in for variable y in equation [1]
[1] 6x - 2•(3x-5) = 8
[1] 0 = -2 => NO solution
Can someone please help me
Can someone help me out? I can't understand this shape. (Explanation also please). I'll mark brainliest
The surface area of the rectangular prism is 46m²
How to find surface area of a rectangular prism?length = 4mwidth = 2.5mheight = 2mSurface area of a rectangular prism = 2(width×length + height×length + height×width)
SA = 2(wl + hl + hw)
= 2(2.5×4 + 2×4 + 2×2.5)
= 2(10 + 8 + 5)
= 2(23)
= 46m²
Therefore, the surface area of a rectangular prism is 46m²
Learn more about surface area:
https://brainly.com/question/16519513
Is the data Jamaya collected a random sample if the population is books from her entire household? Why or why not? *Remember that Jamaya picked 15 books from her book shelf in her bedroom.
Using sampling concepts, it is found that it is not a random sample, as it considers only the books in her bedroom, hence books from other people in the household are likely to not be considered.
What is sampling?It is a common statistics practice, when we want to study something from a population, we find a sample of this population, which has to involve all groups in the population.
In this problem, a random sample should involve the books of all people in the household, not only Jamaya's. Hence, it is not a random sample, as it considers only the books in her bedroom, hence books from other people in the household are likely to not be considered.
More can be learned about sampling concepts at https://brainly.com/question/25122507
the volume of this is cone 923.16 cm what is the radius of this cone
Hey there!
[tex] \rightarrow \sf{ r = \sqrt{3 \frac{v}{\pi \ h} }} \: \rm{or} \: \sf{v = \frac{1}{3} \pi \: {r}^{2} \times h}[/tex]
[tex] \rightarrow \sf{923.16 = \frac{1}{3} (3.14) {r}^{2} \times h}[/tex]
[tex] \rightarrow \sf{\: 1.046667 {hr}^{2} =923.16}[/tex]
[tex] \rightarrow \sf{ \frac{1.046667 {hr}^{2} }{1.046667} = \frac{923.16}{1.046667} }[/tex]
[tex] \rightarrow \: \sf{ {r}^{2} = \frac{923.16}{1.046667h}}[/tex]
[tex] \rightarrow \: \sf{ r = \sqrt{ \frac{923.16}{1.046667h}}}[/tex]
Can you guys work it out
Answer:
x ≤ 45
Step-by-step explanation:
x + 35 ≤ 80
- 35 -35
x ≤ 45
I hope this helps!
Hello!
Let's solve this inequality.
x+35≤80
Subtract 35 from both sides:
x≤80-35
x≤45
It means "less than or equal to"
So all numbers less than or equal to will make this inequality true.
Hope everything is clear.
Let me know if you have any questions!
Always remember: Knowledge is power!
Consider the expression 1.1(1.3)x+4Which of the following is an equivalent expression?
Answer:
the equivalent expression is 1.1(1.3)^4 ×(1.3)^x
Answer:
d
Step-by-step explanation:
i took the test
Help Please Quick! Pleasee
Answer:
you can search them up! Just search up fractions calculator
Step-by-step explanation:
This trapezoid represents the base of a right prism that has a surface area of 1280 square feet. The sum of the lengths of the legs of the trapezoid is 52 feet. What is the height of the prism? Enter your answer in the box.
Answer:
El area del trapecio mresponde a la relación
A = 1/2(B + b)*h
B = base mayor
b = bas menor
h = altura
En el caso en esrudio
250 = 1/2(B + 20)*10
2*250/10 = B + 20
50 = B + 20
50 - 20 = B
B = 30
BASE MAYOR = 30 PIES
help The area of a square
Answer:
[tex]2551\dfrac{1}{2}[/tex]
Step-by-step explanation:
[tex]\bf l = 20\dfrac{\sf 1}{4} \ in = \dfrac{81}{4} \ in[/tex]
[tex]\bf w = 10\dfrac{1}{2} = \dfrac{21}{2} \ in\\\\\\h = 12 \ in[/tex]
Volume of rectangular prism = l*w*h
[tex]= \dfrac{81}{4}*\dfrac{21}{2}*12\\\\\\= 81 *\dfrac{21}{2}*3\\\\\\= \dfrac{5103}{2}\\\\\\= 2551 \dfrac{1}{2} \ cubic \ inches[/tex]
Answer:
[tex]\sf 2551\frac12 \ cubic \ inches[/tex]
Step-by-step explanation:
volume of a cuboid = width × length × height
Given:
[tex]\sf width=10\frac12 \ in[/tex][tex]\sf length=20\frac14 \ in[/tex][tex]\sf height=12 \ in[/tex]Substituting given values into the formula for volume:
[tex]\sf \implies volume=10\frac12 \times 20\frac14 \times 12[/tex]
[tex]\sf =\dfrac{21}{2} \times \dfrac{81}{4} \times \dfrac{12}{1}[/tex]
[tex]\sf =\dfrac{21 \times 81 \times 12}{2 \times 4 \times 1}[/tex]
[tex]\sf =\dfrac{20412}{8}[/tex]
[tex]\sf =2551\frac12 \ in^3[/tex]
What fraction is equivalent to six tenths and has a denominator of 100?
Answer:
3/5
Step-by-step explanation:
3/5=6/10
3/5=60/100
What fraction is equivalent to six tenths and has a denominator of 100?
Answer:
6 = 6/10
Step-by-step explanation:
.6 = 6/10 , by definition. = 3/5 (reduced -- divide numerator and denominator by 2.
Answer:
[tex]\dfrac{60}{100}[/tex]
Step-by-step explanation:
Six tenths:
[tex]\dfrac{6}{10}[/tex]
where 6 is the numerator and 10 is the denominator
We want the denominator to be 100, so how do we convert 10 into 100?
We multiply by 10, since 10 x 10 = 100
When working out equivalent fractions, we must remember to do the same operation to both the numerator and denominator. Therefore, we should multiply both by 10:
[tex]\dfrac{6 \times 10}{10 \times 10}=\dfrac{60}{100}[/tex]
Therefore, the fraction that is equivalent to six tenths and has a denominator of 100 is:
[tex]\dfrac{60}{100}[/tex]
(sixty hundredths)
A square is drawn below. What is value of x
[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]
The opposite sides of a square are parallel, therefore the given angles are equal by ( Alternate interior Angle pair )
[tex]\qquad \sf \dashrightarrow \:4x + 5 = 2x + 25[/tex]
[tex]\qquad \sf \dashrightarrow \:4x - 2x = 25 - 5[/tex]
[tex]\qquad \sf \dashrightarrow \:2x = 20[/tex]
[tex]\qquad \sf \dashrightarrow \:x = 10[/tex]
Hence, correct choice is B
➖➖➖➖➖➖➖➖➖➖➖➖➖➖➖➖➖
-
Using the GCF factor the given expression 4m - 20
4(m - 5)
2(2m - 10)
4m - 20)
2(2m - 20)
Hey there!
Finding something that’s equivalent to: 4m - 20
Option A.
4(m - 5)
= 4(m) + 4(-5)
= 4m - 20
Possibly Option A. is your answer.
Option B.
2(2m - 10)
= 2(2m) + 2(-10)
= 4m - 20
Possibly Option B. could be your answer
Option C.
4(m - 20)
= 4(m) + 4(-20)
= 4m - 80
Optipn C. isn’t your answer
Option D.
2(2m - 20)
= 2(2m) + 2(-20)
= 4m - 40
Option D. also isn’t your answer just like Option C.
FACTORS OF: 4m - 20
4: 1,2,4, & m
20: 1,2,4,5,10,& 20
LIKE TERMS: 1,2,4
GCF: 4
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)