If the first 5 terms of an infinite geometric sequence are 100, 60, 36, 21.6, and 12.96, then the sum of all the terms in the sequence is ______
Answer:
Step-by-step explanation:
r=60/100=0.6<1
[tex]S_{\infty} =\frac{a}{1-r} \\=\frac{100}{1-0.6} \\=\frac{100}{0.4} \\=\frac{1000}{4} \\=250[/tex]
When solving negative one over five (x − 25) = 7, what is the correct sequence of operations?
Multiply each side by negative one over five, add 25 to each side
Multiply each side by 5, subtract 25 from each side
Multiply each side by negative one over five, subtract 25 from each side
Multiply each side by −5, add 25 to each side
Answer:
Multiply each side by −5, add 25 to each side.
Step-by-step explanation:
Your classmate is telling you how they plan to become financially secure.
Which of the following factors can help him do so?
A saving money
B investing money
C both saving and investing money
D neither saving nor investing money
Answer:
savind and investing money
Don’t know where to start
Answer:
A = 80π
Step-by-step explanation:
Area of a circle is A = πr²
Area of the the largest circle - Area of the smaller circle = the shaded part.
Largest circle - Area of the smaller circle = Shaded part of circle
A = π(12)² - A = π(8)²
144π - 64π = 80π
Which expression is NOT equivalent to the others?
14^2 x 12^2 x 12^1
14^2 x 12^3
14 x 14 x 12 x 12 x 12
14^1 x 14^1x 12^2 + 12^1
The perimeter of a rectangular floor is 240 feet. Find the dimensions of the floor if the length is three times the width
The floor has a length of feet and a width of feet.
Answer:
length: 90 ft
width: 30 ft
Step-by-step explanation:
The sum of length and width is half the perimeter, so is 120 ft. The length is 3/(3+1) = 3/4 of the sum, so is (3/4)(120 ft) = 90 ft. The width is 120 ft -90 ft = 30 ft.
The floor has a length of 90 feet and a width of 30 feet.
Please help me with equation and more points for you if you can help me with how to approach these types of questions in the future, thanks!
Consider the following formula:
T = 4S – 1
Which of the following statements is true for this formula?
A. If S is greater than 0.5, T is positive.
B. If S is less than 1, T is negative.
C. If S is less than -0.25, T is positive.
D. If S is less than 0.25, T is positive.
A. If S is greater than 0.5, T is positive.
The others are false
It cost Faith $9.10 to send 91 text messages. How many text messages did she send if she spent $17.60?
Answer:
176
Step-by-step explanation:
9.10 / 91 = 1/10
17.60 x 1/10 = 176
Dan takes an airplane to visit his parents. He pays the airline a total of $450. The cost of the ticket is $315. The airline also charges $15for every pound that the luggage goes over the 50 pound is Dan's luggage over the 50 pound limit?
Answer:
9
Step-by-step explanation:
Start with the total amount Dan paid and subtract the part of the payment that is for the ticket.
450-315=135
Assuming that all of that $135 was for luggage fees and each pound over the limit costs $15, then the question is, how many times did Dan pay $15 until he'd paid the full $135 luggage fee.
So divide $135 by $15.
135/15=9
So his luggage weighted 59 pounds, which is 9 pounds over the limit.
Tyler is saving to buy a new videogame system. For every $15 he earns mowing lawns, he saves $9. On Saturday, Tyler earned $105 mowing lawns. How much money did he save?
Answer:
$63
Step-by-step explanation:
First, we find the percentage that he saves:
9 is 3/5 of 15 which is 60%, 9 is 60% of 15 which means he save 60% of the money that he earns so,
60% of 105 = 63
This means he saved $65 from the money he earned.
Hope this helps!
b and c is wrong pls help
Answer:
b) you need one set of | | for the inside of the logarithm only.
c) pi^2 /56
Step-by-step explanation:
For b, you just need | | instead of ( ) for the inside of the natural logarithm part... .
For c...
Integral( arcsin(7/6x)/sqrt(36-49x^2),x=0..6/7).
Lets go ahead and fix up the the denominator so the multipler on x is the same as it is in numerator.
Factor our sqrt(36) on bottom. Note sqrt(36)=6.
1/6Integral(arcsin(7/6x)/sqrt(1-(7x/6)^2),x=0..6/7)
Let 7/6x=sin(v). Then 7/6 dx=cos(v) dv.
If x=0 then we solve 7/6(0)=sin(v) giving us v=0. Note sin(0)=0.
If x=6/7 then we solve 7/6(6/7)=sin(v) giving us v=pi/2. Note sin(pi/2)=1...and I chose this particular value for v so the sine curve didn't have a chance to make a new or start a new cycle.
1/6×6/7Integral(v/sqrt(1-(sinv)^2) cos(v)),v=0..pi/2)
Next step invokes the Pythagorean Identity sin^2(v)+cos^2(v)=1:
1/7Integral(v/cos(v) cos(v), v=0..pi/2)
1/7Integral(v, v=0..pi/2)
1/7(v^2/2, v=0..pi/2)
1/7((pi/2)^2/2-(0)^2/2)
1/7(pi^2/4/2)
1/7(pi^2/8)
pi^2/56
Find m
∠
J
L
K
∠JLK.
Answer:
m∠JLK° = 62°
Step-by-step explanation:
∠JLK = ∠KJL
SO
56°+2(∠JLK)° = 180°
2(∠JLK)° = 180-56
2(∠JLK)° = 124
∠JLK° = 62°
so m∠JLK° = 62°
Answer:
m∠JLK = 62°
Step-by-step explanation:
180 - 56 = 124
124 ÷ 2 = 62
Which graph could potentially have a correlation coeffiecient (r value) of 0.95?
Answer:
C,
Step-by-step explanation:
A and D is incorrect because they are negative correlation
and B is incorrect because a correction of 0.95 means all values are close to each other, but B values are scattered much more that C values
so answer C
what is 1*1000000*5*6/3*1757/4*45567-4-6-8*5846584*0+1+2+3+4+5+6+7+8+9+10
Answer:
2.0015305e+15 is the answer
In solving the following system of equations, what would you multiply by in order to eliminate the y?
Equation 1: x + y = 7 Equation 2: 5x + 2y = 8
A. 0
B. -5
C. -2
D. 2
E. 5
Give the solution to the system above
A. (7, 0)
B. (1, 6)
C. ( 8, - 1)
D. ( 3, 4)
E. ( -2, 9)
Answer:
D
E
Step-by-step explanation:
we need to multiply x+y=7 by 2
2x+2y=14
5x+2y=8
subtract
-3x=6
x=6/(-3)=-2
-2+y=7
y=7+2=9
solution is (-2,9)
A waitress is filling coffee mugs at a diner. She pours 12 fluid ounces into each of 5 mugs from a full pot of coffee. If her coffee pot holds 8 cups, how many fluid ounces does she have left?
Answer:
4 fluid ounces
Step-by-step explanation:
A waitress is filling coffee mugs at a diner. She pours 12 fluid ounces into each of 5 mugs from a full pot of coffee. If her coffee pot holds 8 cups, how many fluid ounces does she have left?
Remember
8 fluid ounces = 1 cup.
First you need to do find out how many fluid ounces she poured in total.
So do,
5 mugs × 12 fluid ounces.
which is 60 fluid ounces.
Now that you now that you need to convert 8 cups into fluid ounces.
Like I said at the top 8 fluid ounces = 1 cup.
So you need to do,
8 cups × 8 fluid ounces.
Which is 64 fluid ounces she can hold in her coffee pot.
Now you subtract,
64 fluid ounces - 60 fluid ounces.
Which is 4 fluid ounces left in her coffee pot.
The number of fluid ounces she has left is 4 fluid ounces if the waitress is filling coffee mugs at a diner. She pours 12 fluid ounces into each of the 5 mugs from a full pot of coffee.
What is unit conversion?It is defined as the conversion from one quantity unit to another quantity unit followed by the process of division, and multiplication by a conversion factor.
It is given that:
A waitress is filling coffee mugs at a diner. She pours 12 fluid ounces into each of 5 mugs from a full pot of coffee.
Let x be the number of fluid ounces she has left.
4 fluid ounces
As we know,
8 fluid ounces = 1 cup
The total amount of coffee = 5×12
The total amount of coffee = 60
Total amount = 8 cups × 8 fluid ounces.
x = 64 fluid ounces - 60 fluid ounces.
x = 4 fluid ounces
Thus, the number of fluid ounces she has left is 4 fluid ounces if the waitress is filling coffee mugs at a diner. She pours 12 fluid ounces into each of the 5 mugs from a full pot of coffee.
Learn more about the unit conversion here:
brainly.com/question/14350438
#SPJ2
Which algebraic function has a smaller rate of change than the equation?
f(x)=2x−9
Which is equivalent to vg*
Og
O 78%
12784
8 4x
Answer:
(c) (12th root of 8)^x
Step-by-step explanation:
The applicable rules of exponents are ...
[tex](a^b)^c=a^{bc}\\\\\sqrt[n]{a}=a^{1 \! /n}[/tex]
In this case, we have ...
[tex](\sqrt[3]{8})^{x/4}=8^{1/3\cdot x/4}=8^{x/12}=\boxed{\left(\!\sqrt[12]{8}\right)^x}[/tex]
Ms. jones is 50bls over weight. she decided to follow a diet to lose 50% of her excess weight by the first month, 20% by the end of second month and 25% more by the end of third month. how much of excess weight does she still has by the end of the third month
Answer:
5%
Step-by-step explanation:
You sum the lost excess weight: 50% + 20% + 25% = 95%. Meaning that she lost 95% of the excess weight. It remained just 5% to lose.
what is the unit rate if there are 1,760 in 8 servings
Answer:
Unit rate = 220 calories
Step-by-step explanation:
In order to find the unit rate, you simply have to divide the total number of calories (1760) by the number of servings (8).
1760/8=220.
Therefore, the unit rate is 220 calories.
1 A polynomial expression of degree three is shown below.
8x3 + 125
Which expression represents the correct factorization of the polynomial?
A (2x + 5)(4x2 + 10x + 25)
B (2x + 5)(4x2 + 10x - 25)
C (2x + 5)(4x2 - 10x + 25)
D (4x + 25)(2x2 - 10x + 5)
Answer:
D şıkkı iyi dersler hadi
Answer:
C: [tex](2x+5)(4x^2-10x+25)[/tex]
Step-by-step explanation:
First of all, you need to be able to recognize the two terms as cubes, and what they are cubes of. In this case, [tex]8x^3 = (2x)^3[/tex] and [tex]125=5^3[/tex].
Then you have to find a way you like to remember the formula for how to factorize. The way I do it is by saying "the binomial has the same zero as the original, so [tex]x^3+a^3=(x+a)(...)[/tex] and [tex]x^3-a^3 = (x-a)(...)[/tex] and the whole expression has one minus sign attached to the second term of either factor. In the sum of cubes first parenthesis has a plus, so the second term of the other parentesis has to take that minus: [tex]x^3+a^3=(x+a)(x^2-ax+a^2)[/tex] while in the difference of cubes you already used a minus, so everything else goes plus: [tex]x^3-a^3=(x-a)(x^2+ax+a^2)[/tex]
Or you commit the two formulas to memory.
What is the value of the expression 2z ÷ [z – (z – 4)] when z = 8?
2z ÷ [z – (z – 4)]
Sub z=8 into the expression
2(8) ÷ [8 – (8 – 4)] = 16 ÷ 4
= 4
1plss help, its time
Answer:
60 degrees
Step-by-step explanation:
Similar shapes have the same angles but different side lengths.
Answer:
The answer is 60°
Step-by-step explanation:
Because pentagon JKLMN is basically the same as pentagon VWXYZ and if you see in the smaller pentagon the angle for L is 90° and same goes for the bigger pentagon
Ivanna is saving money to buy a game. So far she has saved $12, which is 3/4 of the total cost of the game. How much does the game cost?
Answer:
24?
Step-by-step explanation:
sabihin nyo kung mali -_-
3. Use proportional reasoning to answer the following question.
When buying an item, discount is always taken off
before applying tax. How much does a $1200
phone cost with a 35% discount and 10% tax?
Answer:
5000
Step-by-step explanation:
I took the test so that's how I know
What is:
-24 - (-64)
Answer:
40
Step-by-step explanation:
Calculator.
Answer:
your answer should equal to 40
Step-by-step explanation:
hope its right!
4(1.75y − 3.5) + 1.25y
Hello there
This is a simple algebra problem, that we will be solving...
First let's use [tex]PEMDAS[/tex], and [tex]DISTRIBUTIVE\:PROPERTY[/tex]
______________
[tex]{\huge{\boxed{\mathbb{PEMDAS}}}[/tex]
Parenthesis Exponents Multiplication or Division Addition or Subtraction______________
[tex]{\huge{\boxed{\mathbb{DISTRIBUTIVE\:PROPERTY}}[/tex]
Definition- Distribute Property - The distributive property is one of the most frequently used properties in math. In general, this term refers to the distributive property of multiplication which states that the Definition: The distributive property lets you multiply a sum by multiplying each addend separately and then add the products.
______________
[tex]4(1.75y-3.5)+1.25y[/tex], first distribute...
[tex]7y-14+1.25y[/tex], combine like terms, and we get [tex]8.25y-14[/tex] as our answer
QUESTION 13 PLEASE HELP ME ASAPP
Answer:
option 1 is the best choice
Step-by-step explanation:
for every 5 minutes, the number of toys increases by 2.
Order the numbers from least to greatest
Step-by-step explanation:
(| |) makes the number opposite
|10|=-10
|-3|=3
|0|=0
|-5.25|=5.25
Least to greatest
|10|, |0|, |3|, |5.25|
Let me know if there's any mistakes
What is the perimeter of the triangle?
Answer:
L1 + L2 + L3 = perimeter
Step-by-step explanation:
You add each side of the triangle together.
Answer:
L1+L2+L3
Step-by-step explanation:
You add all the sides of the triangle to get the perimeter