Answer:
81920.
Step-by-step explanation:
1) the ration of the given sequence is -2=-10/5=20/(-10)...
2) the 15th term can be calculated according to the formula:
a₁₅=a₁*(ratio)¹⁴, then
a₁₅=5*(-2)¹⁴=-5*1024*16=81920.
solve x and find the missing angles
Answer:
1. x=44°
2.5x=50°
3x=30°
Step-by-step explanation:
1) 46°+x=90°
x=90-46= 44°
X= 44°
2) 5x+100°+3x=180°
8x+100=180
8x=180-100
8x=80
x=80/8
x=10
substitute the value of x in '3x' and '5x'
3*10=30
5*10= 50
L 2. (a) Which term of the arithmetic progression 8 - 6i, 7 – 4i, 6 — 2i, ... is purely imaginary [3]
Answer:
10iStep-by-step explanation:
8-7=1
7-6=1
The real part of the complex numbers is following an arithmetic progression with first term 8 and common difference 1.
………………………………………
-6+2=-4
-4+2=-2
THe Imaginary part of the complex numbers is following an arithmetic progression with first term -6 and common difference 2.
………………………………………
Then the term she of the sequence can be written:
(8 - n) + i(-6 + 2n)
………………………………………
We get a purely imaginary term when its real part is nul :
⇒ 8 - n = 0
⇒ 8 = n
………………………………………
If we take n = 8
⇒ -6 + 2n = -6 + 2×8 = -6 + 16 = 10
Therefore,
The term of the arithmetic progression 8 - 6i, 7 – 4i, 6 — 2i, ... which is purely imaginary is :
10i
a pack of toilet paper was originally $4.50 , it now cost $6.75. What is the solution to this problem?
Precalculus Logistic growth
Show steps
Answer:
Logistic growth is like growth statistics only known when the population size is affected by limited resources. Logistic growth is a mix of math and science, and comes helpful for studying populations.
One example of logistic growth formula is f(P) = rP(1 - P / K)
Where K is your relative growth rate co-efficient(only when K is lowercased. Otherwise, K is carrying capacity.)
And P is your initial population.
Use the linear combination method to solve this system of equations. What is the value of x?
3 x + 7 y = 31. Minus 3 x minus 2 y = negative 1
Negative 6
Negative 3 and two-thirds
3 and two-thirds
6
Answer:
x = -3 2/3
have a great day
Answer:
x = -3 2/3
Step-by-step explanation:
PLEASE HELP Find the areas of the trapezoids. TRAP 17c
Answer:
30
Step-by-step explanation:
each of the boxes is 2*2
so 30 :D
ABC is isosceles.
m
X = [?]
please help!!
Answer:
x = 4
Step-by-step explanation:
The base angles of an isosceles triangle are congruent, as shown in the figure.
Equating their measures, we have ...
∠A = ∠C
8x -7 = 25 . . . . substitute the given expressions
8x = 32 . . . . . add 7
x = 4 . . . . . . divide by 8
The figure consists of a quarter circle and a parallelogram. What is the area of the composite figure? Use 3.14 for n 76, Round to the nearest whole number.
A 70 in.2
B 84 in.2
C 154 in.2
D 224 in.2
Perform the indicated operation and simplify your answer.
7/20+(-1/10)
Step-by-step explanation:
7/20 + (-1/10)
Taking LCM of denominators
7/20 - 2/20
==> 5/20
==> 1/4
1/4 is simplest answer.
Answer:
0.6
Step-by-step explanation:
have a good day
Expand Completely
(x19 +7)4
Answer:
x⁷⁶ + 2401
Step-by-step explanation:
When an exponent is raised to another exponent, the two exponent values are multiplied. When a number is raised to an exponent, the number is multiplied by itself that many of times.
(x¹⁹ + 7)⁴ ---->
x⁽¹⁹ ˣ ⁴⁾ + 7⁴ --->
x⁷⁶ + (7 x 7 x 7 x 7) --->
x⁷⁶ + 2401
A car traveled 240 miles in 3 hours. At this rate, how many miles will the car travel in 1/2 hour?
A. 40 mi
B. 20 mi
C. 120 mi
D. 80 mi
Helpppp!
The car will travel eighty miles in 1/2 hour
Find the sum of the first 21 terms of the arithmetic series.
46 +53 +60 +67+ ...
Answer:
2436
Step-by-step explanation:
The sum of n terms of an arithmetic series is given by the formula ...
Sn = (n/2)(2a +d(n -1))
where a is the first term, and d is the common difference.
__
This series has ...
a = 46
d = 53 -46 = 7
n = 21
So, the desired sum is ...
S21 = (21/2)(2(46) +7(20)) = 2436
The sum of the first 21 terms is 2436.
If Wendell creates a scale drawing using the scale 1 inch to 10 feet, what will the dimensions of the deck in the scale drawing be?
Answer:
100x80 ft
Step-by-step explanation:
What is the surface area of cone below Diameter AB=21 and distance from B to C =36
Answer:
1533.88261311522
Step-by-step explanation:
Let r be the radius of the (base/circle)
and L be the slant height of the cone
Formula ………………………………………………………………………………………………………
The surface area of a cone = the (curved/lateral) surface area + the base
[tex]=\pi r^{2}\ \ \ +\ \ \ \pi Lr[/tex]
=========================================
[tex]r=\frac{21}{2} =10.5[/tex]
L = BC = 36
[tex]\text{surface area} =\pi \left( 10.5\right)^{2} +\pi \times 36\times \left( 10.5\right)[/tex]
[tex]=346.360590058275 + 1187.52202305694[/tex]
[tex]=1533.88261311522[/tex]
HELP!!!!!!! PLS
QUESTIONS ARE BELOW
Answer:
hope this will help you
Step-by-step explanation:
[tex] \frac{7m}{4} - 2m - 3 \\ = \frac{7 \times ( - 2)}{4} - 2 \times ( - 2) - 3 \\ = \frac{ - 7}{2} + 4 - 3 \\ = \frac{ - 7}{2} + 1 \\ = \frac{ - 7 + 2}{2} \\ = \frac{ - 5}{2} \\ = - 2.5[/tex]
[tex](3 + {n}^{4} ) \div 3 \\ = (3 + {3}^{4} ) \div 3 \\ = (3 + 81) \div 3 \\ = 84 \div 3 \\ = 28[/tex]
Which set of rational numbers are ordered from least to greatest?
A number line going from negative 3 to positive 3 in increments of 1.
Negative 2 and StartFraction 5 Over 6 EndFraction, negative two-thirds, 1 and StartFraction 1 Over 6 EndFraction, 1 and StartFraction 5 Over 6 EndFraction
1 and StartFraction 5 Over 6 EndFraction, 1 and StartFraction 1 Over 6 EndFraction, negative two-thirds, negative 2 and StartFraction 5 Over 6 EndFraction
Negative two-thirds, 1 and one-sixth, 1 and StartFraction 5 Over 6 EndFraction, negative 2 and StartFraction 5 Over 6 EndFraction
Negative 2 and StartFraction 5 Over 6 EndFraction, 1 and StartFraction 5 Over 6 EndFraction, 1 and one-sixth, negative two-thirds
The fraction with the greatest value is 5/6
How to determine the greatest fraction?Fractions are numbers that are represented by the quotients of two integers.
The fractions are given as:
1/6, 5/6, -1/6 and -5/6
Negative numbers are less than positive numbers.
So, the remaining fractions are:
1/6 and 5/6
Both fractions have the same denominator.
So, we consider the numerator
5 is greater than 1
Hence, the fraction with the greatest value is 5/6
Read more about fractions at:
brainly.com/question/11562149
#SPJ1
Answer:
Step-by-step explanation:
it is going to be 1/6, 5/6, -1/6 and -5/6
( marking right answer as brainliest ) sid is an entomologist and records the lengths of ladybugs . over the past month he measured 5,300 cm worth of ladybugs * How many meters was this? *
Answer:
53 meters
Step-by-step explanation:
5300 / 100 = 53
because yes
On a map, 2 inches represent 35 miles. How many inches would 105 miles be
Answer:
6 inches
Step-by-step explanation:
105÷35=3
3x2=6
simplify6(x - 3) = -42.
Answer:
x = -4
Step-by-step explanation:
First Expand :
6(x - 3)
= 6x - 18
Now you need to Simplify:
6x - 18 = -42
And now get the 6x by itself by doing this :
6x - 18 = -42
+18 +18
= > 6x = -24
And 6 x 4 = 24
But 6 x -4 = -24
So :
6x/6 and -24/6
= >> x = -4
What is the volume of the gift box?
L= 10in W=5in H= 2in
if it is 9'oclock now what time will it be in 16hours time
Answer:
1 AM
Step-by-step explanation:
9AM(start time) to 9PM = 12 hours + the other 4 Hours, 10PM, 11PM, 12PM, 1AM(end time).
Question 7 of 10
Which facts are true for the graph of the function below? Check all that apply
FX) = 3.4%
A. It is increasing
B.the y intercept is (0,3)
C. The range of f(x) is y>4
D. The domain of f(x) is all real numbers
E. It is decreasing
F. The y intercept is (0,4)
Answer:
It is increasing
The y-intercept is (0, 3).
The domain of F(x) is all real numbers.
The data set shows the number of saves made by a hockey
goalie in the last nine games. The goalie says she usually makes
28 saves per game. Why is the goalie's statement misleading?
Saves Made
23
28
23
24
24
28
26
28
29
Answer:
she only has saved 28 3 times according to the data
Step-by-step explanation:
help asap will give brainliest
Line segment GH has endpoint G(10,11) and H(−2, −7).
Part A: The point Z lies on segment GH and is located at (6, 5). What is the ratio of GZ: ZH?
Part B: Find the coordinates of Q such that HQ: GH = 1: 6.
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)PART B:To find out the midpoint,here's the formula: ((x1+x2)÷2 , (y1+y2)÷2)
Thus,the midpoint of QS is
((4+(-2))÷2 , (10+3)÷2)
=(1 , 13/2)
hope it helps!
What is the area of the figure below?
Answer:
please attach the figure
Step-by-step explanation:
no figure provided
Answer:
There is no picture for the area of the figure
Step-by-step explanation:
Please attach the picture next time in order for me to help
Please help me im stuck-
Answer:A
Step-by-step explanation:
Answer:
answer is A
Step-by-step explanation:
yes A
What is the volume of a rectangular cake pan that measures 13 inches by 9 inches by 2 inches?
Answer: 234 in sq.
Step-by-step explanation: Volume = length times width times height.
13 x 9 x 2 = 234 in sq.
Hope this helps.
Find the probability of rolling a
sum of 2 with two dice.
Answer:
1/36.
Step-by-step explanation:
We have a probability of 1/6 that the first die rolls 2, and a probability of 1/6 that the second die rolls 2, thus making a combination (2,2) with the probability 1/36.
Which data set contains an outlier?
{16, 42, 45, 45, 46, 48}
{9, 10, 10, 11.4, 12.1, 12.6}
{45, 46, 47, 47, 49, 49}
{15, 15, 15, 16, 16, 17, 18}
Answer: the first one
Step-by-step explanation: the number is 42 45 45 46 and 48 are all close together while the number 16 is off to the whole other side
Answer:
i agree with the other guy
Step-by-step explanation:
16 42 45 45 46 48
The price of a computer component is decreasing at a rate of 15% per year. State whether this decrease is linear or exponential. If the
component costs $70 today, what will it cost in three years?