Answer:
[tex]sum = \frac{a( {r}^{n - 1} )}{r - 1} \\ : but \: l = a( {r}^{n - 1} ) \\ 49152 = 3( {2}^{n - 1} ) \\ 16384 = {2}^{n - 1} \\ {2}^{n} = 32768 \\ {2}^{n} = {2}^{15} \\ n = 15 \\ \therefore \: sum = \frac{3(2 {}^{15 - 1}) }{15 - 1} \\ = \frac{49152}{14} \\ = 3510.9[/tex]
What is the median for this set of data?
28, 32, 15, 19, 24, 26, 22, 32, 30
Step-by-step explanation:
according order 15 , 19,22, 24,26,28,30,32,32. answer is 26
Answer:
Hello There!!
Step-by-step explanation:
26 is the median as you order the numbers smallest to largest.Therefore,it is 15,19,22, 24, 26,28,30,32,32 and the amount of numbers are odd so the median is the middle number.If it was even the two middle numbers would be added together and then divided by 2.
hope this helps,have a great day!!
~Pinky~
PLEASE HELP!! The green line below *blank*. Check all that apply.
A. is parallel to the x-axis
B. crosses the origin
C. is in the xy-plane
D. crosses the y-axis
Answer:
D. crosses the y-axis
[tex]{ \tt{crosses \: y - axis \: at \: y = 5}}[/tex]
Lines J and k intersect at point Q and h is a straight line. What is the value of X ?
Answer:
Step-by-step explanation:
Angles on a straight line add up to 180 so 180-135 equals 45. Vertically opposite angles are equal so the second angle inside the triangle equals 100. Henceforth, we can solve this equation:
x +45+100 = 180 (angles in triangle add up to 180)
x+145=180
x=35
Vertically opposite angles are equal so x will become 35.
Hope this helps!
En un sistema masa resorte (masa atada a un muelle) ¿en qué punto la masa alcanza su máxima velocidad?
Answer:
yo just search up Spanish translator
I’m struggling in finding the nearest cent, May you please help me
Answer:
$88.48
Step-by-step explanation:
First, we can check the formula for compound interest, which is
[tex]A = P (1 + r)^{n}[/tex] , with A representing the end amount, r representing the interest rate, and n representing the amount of times compounded. We know that the interest rate is 9% (to convert this to a decimal, we can divide it by 100, resulting in 0.09), the end amount is 700, and the amount of times compounded is however many months are in 2 years (there are 12 months per year, and 12 *2 = 24, so 24 times).
Thus, our equation is
[tex]700 = P (1 + 0.09)^{24}\\700 = P (7.911083)\\[/tex]
Divide both sides by 7.911083 to isolate P, and we get
P = 88.48 (rounded to the nearest cent)
Identify the transformations of the
function f(x) = x^2 to g(x)=(x-7)^2+4
Hi can someone please help me with these questions.
Answer:x=3, x=18, x=29, x=30, x=27
Step-by-step explanation: for problems like the first one, the angles add up to 180 since it’s just a straight line.
The second problem is a right angle so 90°. It gives you 2x and 3x. Part + part =whole so you have 5x=90 then just solve.
Angles across from each other are the same so just 145=5x then solve.
A person runs 1/4 mile in 1/28 hour. What is the persons speed
Answer:
7
Step-by-step explanation:
speed x time = distance
? x time = distance
1/28x = 1/4
1/28x 1/4
_____ = _____
1/28 1/28
1/4 ÷ 1/28
(reciprocal method) 28/1
1/4 × 28/1 (change the equation into multiplication)
1/4 × 28/1 = 28/4 (multiply)
(Simplify) 28/4 ---> 7/1 or 7
final answer:
The persons speed would be 7.
The diagram shows the locations of Cody and Reese after running
different directions from a tree. How far did Cody run?
Answer: 80yd
Step-by-step explanation:
HELP ASAP PLEASE!!!!!
pls help me pls and thank u
Find the circumference of each circle from the given radius or diameter
Please help
A cylinder-shaped drainage pipe 66 in. long measures 25.12 in. around.
What is the volume of the drainage pipe?
Answer:
Step-by-step explanation:
25.12 inches around means diameter. So radius = 12.56 inches
volume [tex]= \pi r^2 \times h =\pi \times 12.56^2 \times 66 = 32709.44 \ in^3[/tex]
Answer:
The volume of the drained pipe is 32692.11 in ³.
Step-by-step explanation:
Given :-Diameter of drainage pipe = 25.12 in
So, radius , r = 25.12 in = 12.56 in
Height of drainage pipe, h = 66 in.
To Find :-Volume of the drainage pipe
Solution :-We know that,
Volume of cylinder = π × r ² × h
substitute the values
Volume of pipe = 3.14 × (12.56 in)² × 66 in
simplify
Volume of pipe =3.14 ×157.7536 in² × 66in
multiplying ✖ the values
Volume of the pipe = 32,692.11 in ³
Therefore, the volume of the drained pipe is 32692.11 in ³.
What is the product?
Answer:
[tex]21x^{7}y^{11}[/tex]
Step-by-step explanation:
Remove the parentheses and take out the constansts.
[tex](7 x 3) x^{2} x^{5} y^{3} y^{8}[/tex]
Simplify 7 x 3 to 21.
[tex]21x^{2} x^{5} y^{3} y^{8}[/tex]
Use the product rule: [tex]x^{a} x^{b} = x^{a + b}[/tex]
[tex]21x^{2 + 5}y^{3+8}[/tex]
Simplify 2+5 to 7.
[tex]21x^{7}y^{3+8}[/tex]
Simplfiy 3 + 8 to 11.
[tex]21x^{7}y^{11}[/tex]
Dois triângulos semelhantes possuem razão entre suas áreas igual a 9. Se o perímetro de um deles é 10, o perímetro do outro deve ser:
Answer:
O perímetro do outro triângulo deve ser ou de 30 unidades de comprimento, ou de 3.33 unidades de comprimento.
Step-by-step explanation:
Dois triângulos semelhantes possuem razão entre suas áreas igual a 9.
O perímetro tem grau um, enquanto a área tem grau 2. Isto implica que a razão entre os perímetros é a raiz quadrada da razão entre as áreas, então a razão entre os perímetros é de 3.
Se o perímetro de um deles é 10, o perímetro do outro deve ser:
Ou 10*3 = 30, ou [tex]\frac{10}{3} = 3.33[/tex]
O perímetro do outro triângulo deve ser ou de 30 unidades de comprimento, ou de 3.33 unidades de comprimento.
what is the value of x?
Answer:
Step-by-step explanation:
The sum of interior angles in a triangle is equal to 180 degrees
so
70 + 35 + x = 180 add like terms
105 + x = 180 subtract 105 from both sides
x = 75
Answer:
75 degrees
Step-by-step explanation
triangles add up to 180 degrees so, 70+35= 105 degrees, 180-105= 75 degrees
The solution is {-8, 3} but I’m not sure how to graph it on a line, is it A B C or D?
Answer:
-8 < x< 3
Step-by-step explanation:
|2x+5| <11
there are two solutions, one positive and one negative ( remember to flip the inequality for the negative)
2x+5 <11 and 2x+5 > -11
Subtract 5 from each side
2x+5-5 < 11-5 and 2x+5-5 > -11-5
2x< 6 and 2x>-16
Divide by 2
2x/2 <6/2 and 2x/2 >-16/2
x <3 and x>-8
-8 < x< 3
x is less than 3 and x is greater than -8
open circles and -8 and 3 and a line between
The area of a rectangular parking lot is 3960 m²
If the length of the parking lot is 72 m, what is its width?
Answer:
3816m
Step-by-step explanation:
72 + 72= 144
8960 - 144= 3816
Please help with these problems
Answer:
thank you for thissssssss
What is an equivalent expression for 6v + -1 ?
Answer:
5v is an equivalent expression for 6v + -1 ?
Answer:
5v is equivalent expression for 6v + -1
Which of the following is RS? pls answer asap thank you
Answer:
not sure
Step-by-step explanation:
but I think it's c tell me if I'm correct please but I'm not sure if u have no time just click C)
Answer:
c
Step-by-step explanation:
for freshman year Nick had 3.5 for a gpa. what gpa does Nick needs for sophomore, junior, senior year to get the average of at least 4.0?
Answer:4.0
Step-by-step explanation:
Shane and Abha earned a team badge that required their team to collect no less than 2000 cans for
recycling. Abha collected 178 more cans than Shane did.
Write an inequality to determine the number of cans, S, that Shane could have collected.
What is the solution set of the inequality?
Answer:
s + 178 = Abha's Can's
Step-by-step explanation:
Well since Abha collected 178 more cans than Shane, it would be Shane's amount of cans they collected AND 178 cans on top of that.
(i didnt know if you wanted the solution of s or just the equation on how to find s)
x = 4 and y = 2, what is the value of x^2 + y^3 ?
Answer:
14
Step-by-step explanation:
x * 2 = 8
y * 3 = 6
6 + 8 = 14
¿¡ Cuanto es "(8 x 7 + 5 x (-8)) : (-4)" ??
Answer:
-4
Step-by-step explanation:
So like ur last problem do it in order left to right.
[8x7]+5x(-8)/(-4)
56+[5x(-8)/-4
56+(-40)/-4
16/-4=(-4)
Sorry if i did in wrong order.
Whats the y-intercept of -2x - y=3
Coach Peters has 12 gallons of water to fill buckets for field day. If
each bucket needs of a gallon to fill, how many buckets can he fill?
Answer:
Step-by-step explanation:
D.36
because 12 divided by 1/3 is 36
Anyone know how to do this
Answer:
77
Step-by-step explanation:
3+2*49-24
3+98-24
101-24
77
Good luck
Answer:
77
Step-by-step explanation
3+2X7^2-4X6
First complete the exponent
3+2X49-4X6
Then multiply
3+2X49-24
Multiply
3+98-24
Calculate the rest of the equation
101-24=77
Therefore the answer is 77.
Please don't be mad if this is incorrect
Also the x's are multiplication symbols and NOT variables
A track coach records the number of miles that he ran per day over the month. The stem-and-leaf plot below summarizes this data.
Answer:
[tex]Mean = 6.70[/tex]
Step-by-step explanation:
Given
See attachment for plot
Required
The mean of the plot
Mean is calculated as:
[tex]Mean = \frac{\sum x}{n}[/tex]
Where
[tex]n = 20[/tex]
Using the given key to read, the plot;
We have:
[tex]Mean = \frac{3.00+3.25+4.25+5.00+..........+8.75+9.50}{20}[/tex]
[tex]Mean = \frac{134.00}{20}[/tex]
[tex]Mean = 6.70[/tex]
Math help please urgent
Answer:
THREE AND SIX OR FOUR AND FIVE
Step-by-step explanation:
They're just opposite ends !
Step-by-step explanation:
Alternate Interior Angles: 3 and 6
Alternate Exterior Angles: 2 and 7