PLEASE HELP 20 POINTS!!
[tex]\text{First term,} ~a = 72\\\\\text{Common ratio,}~ r = \dfrac{-36}{72} =-\dfrac 12 \\\\\text{Sum of an infinite geometric series,}\\\\S_{\infty} = \dfrac a{1 - r}\\\\\\~~~~~= \dfrac{72}{1+ \dfrac 12}\\\\\\~~~~~=\dfrac{72 }{\tfrac 32}\\\\\\~~~~~=\dfrac{72 \times 2}3\\\\\\~~~~~=48[/tex]
Series: 72 - 36 + 18 - 9 +...
[tex]\sf S \infty \ =a_1 \ x \ \dfrac{1}{1-r}[/tex]
Identify the following
a1 = 72 - 36r = (18-9) ÷ (72-36) = 1/4Solve:
[tex]\rightarrow \sf S \infty \ =(72-36) \ x \ \dfrac{1}{1-\frac{1}{4} }[/tex]
[tex]\rightarrow \sf S \infty \ =48[/tex]
This series has a sum of 48.
Find the value of cos I rounded to the nearest hundredth, if necessary.
18
K
J
30
24
I
Answer:
the value of cos is 26
k =14
j=30
Step-by-step explanation:
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Simplify 4 – 8 × 2. Question 9 options: A) –4 B) –8 C) –10 D) –12
Answer:
b
Step-by-step explanation:
4 - 8 = -4 times 2 = -8
The answer in the calculation for this answer is incorrect.
120 = 12x
x=12 is not accurate -- it should be 10
Answer:
10
Step-by-step explanation:
it is 10 I jus did it 120 =12 x x =12 10
What is the value of 50 x 3 - 120 / 40
Answer:
The answer is 150-3
That is 147
Step-by-step explanation:
Do This
(50 x 3)-(120/40)
150-3
147 is your answer
How much interest will linda pay for a loan of N850 at the rate of 15% in 2years
Answer:
850 ( 2 multiply by 15 divide by 100)
850 ( 2 multiply 0,15)
850 multiply 0,3
= R255, 00
It takes3/4 cup of sugar to make a loaf of bread how much sugar would you need to make 16 loaves of bread
Too make this easier for me or others 3/4 can be represented as 0.75. 3/4 or 0.75 x 16 = 12
More depth explanation:
Multiple: 3/
4
* 16 = 3 · 16/
4 · 1
= 48/
4
= 12 · 4/
1 · 4
= 12
Multiply both numerators and denominators. Result fraction keep to lowest possible denominator GCD(48, 4) = 4. In the following intermediate step, cancel by a common factor of 4 gives 12/
1
.
In other words - three quarters multiplied by sixteen = twelve.
Solve the equation. Need HELP!!!
Answer:
[tex]m = 0.664[/tex]
Step-by-step explanation:
We were given the equation: [tex]2.1 + 10m = 8.74[/tex]and we were asked to solve for m. Therefore we have to ensure m the subject of the formula.
[tex]2.1 (-2.1) + 10m = 8.74 (-2.1) \\ \\ 10m = 8.74 - 2.1 \\ \\ 10m = 6.64 \\ \\ \frac{10}{10} m = \frac{6.64}{10} \\ \\m = 0.664[/tex]
Answer: Heyaa! :D
Your Answer Is... m= 0.664
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
Hopefully this helps you!
-Matthew (HAVE AN AMAZING DAY)
(PLS HELP AND FAST!!!!) 1. A single, standerd number cube is tossed. What is the probality of getting a number GREATER then 3? A. 2/3 B. 1/3 C. 1/6 D. 1/2.
WILL GIVE 100 POINTS IF CORRECT!!! ):D
Answer:
D
Step-by-step explanation:
assuming a 6 sided die half of the die is above 3 so 1/2
help me please :/
Dana is training to run a marathon. On Monday, she ran 10.2 miles. On Tuesday, she ran 11.4 miles. On Wednesday and Thursday, she ran 11.8 miles each day. On Friday, she ran 12.3 miles. Round each amount to the nearest whole mile to find a reasonable estimate of the total number of miles Dana ran over this five-day period.
Answer:
57 miles.
Step-by-step explanation:
to find
⇒ total number of miles dana ran
given
⇒ monday = 10.2 miles
⇒ tuesday = 11.4 miles
⇒ wednesday and thursday = 11.8 miles
⇒ friday = 12.3 miles
∴ total number of miles = 10.2 + 11.4 + 23.6 + 12.3
⇒ 57.5
⇒ 57 miles
The prime factorisation of √169 is?
Answer:
Square root of 169 by Prime factorization is 13×13
Answer:
13*13
Hope this helped!
edmentum, end of semester test, geometry A, answer key ,please anyone?
The equation which can be used to find the minimum or maximum amount, c, of chocolate chips that he can weigh out will be:
|C-78|=2.5
What will be the end of semester test?From the question, we have to determine the equation which can be used to find the minimum or maximum amount, c, of chocolate chips that he can weigh out.
From the question statement, we can easily the information thatSam tends to use an industrial kitchen to bake several batches of his famous chocolate chip bars.Also, it is mentioned that he needs to weigh out 78 ounces of chocolate chips, plus or minus 2.5 ounces.Mathematically, it means:
|C-78|=2.5
Hene, the reqired equation will be :|C-78|=2.5
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John writes 2 1/3 pages in an hour. Going at the same speed, how many pages he can write in 5 1/7 hours?
[tex]\huge\underline{\red{A}\blue{n}\pink{s}\purple{w}\orange{e}\green{r} -}[/tex]
Given - John writes [tex]\underline{\: 2\frac{1}{3}}\\[/tex]pages in an hourTo find - number of pages he can write in [tex]\underline{5\frac{1}{7}}\\[/tex]hoursthis question can be easily solved by using unitary method ~
[tex]number \: of \: pages \: he \: can \: write \: in \: 1 \: hour = 2 \frac{1}{3} \\ \\ \longrightarrow \: \frac{7}{2} \: pages \\ \\ \\ \therefore \: number \: of \: pages \: he \: can \: write \: in \: 5 \frac{1}{7} hours \\ \\ \longrightarrow \: \frac{7}{2} \times 5 \frac{1}{7} \\ \\ \longrightarrow \frac{\cancel7}{2} \times \frac{36}{\cancel7} \\ \\ \longrightarrow \: 18 \: pages[/tex]
hope helpful ~
on Math 5/4-Homeschool
(Inv. 4)
3. Angela ran 100 meters in twelve and fourteen hundredths
seconds. Use digits to write her time for 100 meters. . I NEED HELP
Find two pairs of integers whose product is -20.
Answer:
-10 x 2 and -5 x 4
Step-by-step explanation:
An integer is a number that must be whole and can either be negative or positive. The product is the total value from multiplying values.
Applicable equations:
-10 x 2 = -20
10 x (-2) = -20
-5 x 4 = -20
5 x (-4) = -20
-1 x 20 = -20
1 x (-20) = -20
Select the correct answer.
A pizza restaurant starts the day with a certain amount of pizza dough. The length of time the dough will last varies inversely with the number of
medium pizzas made.
If they need to make 32 medium pizzas, the dough will last 5 hours. How long will the dough last if they need to make 40 pizzas?
OA 2.75 hours
OB. 4 hours
OC.
8 hours
OD. 6.25 hours
The length of time needed for the dough to last if 40 pizzas is required is 4 hours.
Inverse variationlet
length of time = lnumber of pizza = pl = k / p
where,
k = constant of proportionality
If l = 5 and p = 32
l = k / p
5 = k / 32
5 × 32 = k
160 = k
Find l when p = 40
l = k / p
l = 160/40
l = 4 hours
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Select all the correct answers. Which expressions are equivalent to the given expression? √40
Answer:
2√10
Step-by-step explanation:
√40=√4 x 10
2√10
Write a slope-intercept equation for a line that passes through (-3, 5.5) and (0, 5.5)
The slope-intercept equation for the line is
(Use integers or decimals for any numbers in the equation.)
Answer:
y-5.5=0 * (x+3)
Step-by-step explanation:
whats the next term of arithmetic sequence 24,16,8,0
Answer:
-8, 16, ...
Step-by-step explanation:
You are subtracting 8 everytime. Therefore, you would go into negatives from here.
Answer:
24, 16 , 8 , 0
\/ \/ \/
-8 -8 -8
Step-by-step explanation:
for you to get 8 you subtract the first term with the second term
A line passes through the points (-4,8) and (3,-7). Answer all parts of the question. Part A: what is the slope of the line that passes through these points (-4,8) and (3,-7).
Answer: [tex]y=\frac{-15}{7}x-\frac{4}{7}[/tex]
Slope: -15/7
y-int:-4/7
Step-by-step explanation:
slope: rise/run
[tex]\frac{x^2-x^1}{y^2-y^1}[/tex]
[tex]\frac{-7-8}{-4-3}=\frac{-15}{-7} =\frac{-15}{7}[/tex]
thats the answer :)
~rere
Find the distance between the following sets of points: a. (2, −4) and (2, 3) b. (−3, −2) and (−3, 0) c. (1, 4) and (−5, 4) d. (−2, 0) and (−3, 0) e. (4, −6) and (4, −2) f. (5, 1) and (1, 1)
Answer:
Step-by-step explanation:
Distance between set of points parallel to x-axis and y-axis.a) (2,-4) and (2 , 3)
In these two points the x-coordinate are same. So, the distance between the points are given by the absolute value of difference between the y-coordinate.
Distance = I -4-3 I = I -7I = 7 units
b) (-3,-2) and (-3,0)
In these two points the y-coordinate are same. So, the distance between the points are given by the absolute value of difference between the x-coordinate.
Distance = I-2 -0 I = I -2 I = 2 units
c) (1,4) and (-5,4)
In these two points the y-coordinate are same. So, the distance between the points are given by the absolute value of difference between the x-coordinate.
Distance = I 1 - (-5) I = I 1 + 5 I = I 6 I = 6
d) (-2,0) and (-3,0)
In these two points the y-coordinate are same. So, the distance between the points are given by the absolute value of difference between the x-coordinate.
Distance = I -2 - (-3) I = I -2 + 3 I = I 1 I = 1 unit
e) (4,-6) and (4,-2)
In these two points the x-coordinate are same. So, the distance between the points are given by the absolute value of difference between the y-coordinate.
Distance = I -6 - (-2) I = I -6 + 2 I = I-4 I = 4 units
f) (5,1) and (1 , 1)
In these two points the y-coordinate are same. So, the distance between the points are given by the absolute value of difference between the x-coordinate.
Distance= I5 - 1 I = I 4 I = 4 units
Solve x^2 - 3x + 5 = 0.
Answer: A
Step-by-step explanation:
x^2 - 3x + 5 = 0 - quadratic equation
Standard quadratic equation form: a^2 + bx + c = 0
Here a = 1, b = -3, c = 5Discriminant formula: D = b^2 - 4acD = (-3)^2 - 4*1*5 = 9 - 20 = -11 (-11 < 0 => no real roots)
x1 = (-b - sqrt(D)) / (2*a)x2 = (-b + sqrt(D)) / (2*a)x1 = (3 - sqrt(-11)) / 2
x2 = (3 + sqrt(-11)) / 2
Warren's window store made a mosaic for the community center. The mosaic had an 8 x 8 array of different color square tiles. If each tile is 2 2/3 ft long, what is the area of the whole
mosaic?
What is the surface area?
2 mm
9 mm
3 mm
Answer:
Surface area of rectangular prism
=P×h
=2(l+w)×h
=2(3+9)×2
=48mm²
[tex] \boxed{ \frak{Answer}}[/tex]
Given,
Length (l) = 9 mm
Breadth (b) = 3 mm
Height (h) = 2 mm
To find: The surface of it.
We, know that
Surface area of a cuboid = 2(lb + bh + lh)
By using the formula,
= 2(lb + bh + lh)
= 2(9*3 + 3*2 + 9*2)
= 2( 27 + 6 + 18)
= 2(51)
= 102 mm²
Therefore the required surface area is 102 mm²[tex] \boxed{ \frak{Keep \: Learning }}[/tex]
units and Lino Plots
More
Bags of Oranges
х
Jordan fills several bags with oranges. This line plot
shows the weight of each bag.
How many more pounds does one of the heaviest
bags weigh than one of the lightest bags?
Enter your answer as a mixed number by filling in the
boxes.
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х
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xx
xx
X X
X X
X X X
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X
8
8
4 44 45 46 45 5 5 5 5 5
55 55
Weight (lb)
Ib
1
2
3
4
4
5
6
1
Answer:
1 1/8 or 9/8
Step-by-step explanation:
5 1/2 - 4 3/8 = 1/ 1/8
Solve 18 > 12 + x. Graph the solution.
Answer:
I have attached a screenshot of your inequality graphed. Credit to Desmos.
Tory’s expenses of $300 in May were at least $40 less than twice her expenses in April. What is the least possible amount of her expenses in April?
Please help me do this assignment
I hope this will help you a lot..
Answer:
(30x⁴+36x²y⁴)+(36x⁴y²+30xy⁴).
Step-by-step explanation:
x⁶+3x⁴y⁴+xy⁶
1) df/dx=6x⁵+12x³y⁴+y⁶; d²f/dx²=30x⁴+36x²y⁴;
d²f/(dxdy)=48x³y³+6y⁵ (note, d²f/(dxdy)=d²f/(dydx) !!);
df/dy=12x⁴y³+6xy⁵; d²f/dy²=36x⁴y²+30xy⁴;
2) finally
(30x⁴+36x²y⁴)+(36x⁴y²+30xy⁴).
Two candles of equal length are lit simultaneously at 12:00 pm. Candle 1 has 6 hours of burn time before it completely melts away. Candle 2 has 9 hours of burn time before completely melting away. When will Candle #2 have 3 times as much wax remaining as Candle #1?(You must be within 1 minute to be considered correct)
By finding the equations for the length of the candles as a function of time, we will see that the answer is 3.27 hours.
When will Candle2 have 3 times as much wax remaining as Candle1?
Here we assume that:
Both candles have the same original length L, and both decrease a constant rate.
Candle 1 is consumed in 6 hours, so it is consumed at a rate of:
L/6h.
This means that after a time t in hours, the length of candle 1 is:
L₁(t) = L - (L/6h)*t
For candle 2, the rate is:
L/9h
And the function for the length of candle 2 is:
L₂(t) = L - (L/9h)*t
Now we want to find the value of t such that:
L₂(t) = 3*L₁(t)
So we just solve:
L - (L/9h)*t = 3*(L - (L/6h)*t)
L - (L/9h)*t = 3L - (L/2h)*t
(L/2h)*t - (L/9h)*t = 3L - L = 2L
(5.5L/9h)*t = 2L
t = 2*(9h/5.5) = 3.27 h
After 3.27 hours, candle 2 will have 3 times the wax that candle 1 has.
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Create an equation to convert X feet into y miles
Answer:
y = x/5280
Step-by-step explanation:
y miles = x feet / 5280
