Answer:
The common ratio of the geometric sequence is:
[tex]r=-2[/tex]
Step-by-step explanation:
A geometric sequence has a constant ratio 'r' and is defined by
[tex]a_n=a_1\cdot r^{n-1}[/tex]
where
aₙ is the nth terma₁ is the first termr is the common ratioGiven the sequence
[tex]-2,\:4,-8,\:16,\:-32,\:...[/tex]
Compute the ratios of all the adjacent terms: [tex]r=\frac{a_n+1}{a_n}[/tex]
[tex]\frac{4}{-2}=-2,\:\quad \frac{-8}{4}=-2,\:\quad \frac{16}{-8}=-2,\:\quad \frac{-32}{16}=-2[/tex]
The ratio of all the adjacent terms is the same and equal to
[tex]r=-2[/tex]
Therefore, the common ratio of the geometric sequence is:
[tex]r=-2[/tex]0.5(400 + d) =4.25 d=
Answer:
d = 53.33333
Step-by-step explanation:
Solve for d on calculator
Answer:
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pleas help me asap please!!!!!!
Step-by-step explanation:
pleas help me asap please!!!!!!
Help i need to finish it today And can you explain the steps so i wont need help next time or if you don’t want to its okay :)
Answer:
110 feet
Step-by-step explanation:
The formula to find the area of a rectangular prism is A = 2 (wl + hl + hw)
Substitute the values:
A = 2 (5x5 + 3x5 + 3x5)
A = 2 (25 + 15 + 15)
A = 2 (25 + 15 + 15)
A = 2 (55)
A = 110
Two mechanics worked on a car. The first mechanic charged $115 per hour, and the second mechanic charged $65 per hour. The mechanics
combined total of 15 hours, and together they charged a total of $1475. How long did each mechanic work?
Answer:
Here is another case where we have two unknowns (the number of hours each mechanic worked) so we'll need two equations to solve.
Let A = number of hours first mechanic worked (the one who charged $45/hour)
Let B = number of hours second mechanic worked (the one who charged $105/hour)
From the problem statement, we know that the two mechanics worked a combined 35 hours so the first equation is:
Equation 1: A hours + B hours = 35 hours
We also know that in total, the charge was $2475. So the second equation is:
Equation 2: (A hours x 45 dollars/hour) + (B hours x 105 dollars/hour) = 2475 dollars
So our two equations are:
1: A + B = 35
2: 45A + 105B = 2475
Multiply both sides of the first equation by -45 to get the following:
-45A - 45B = -1575
Now the two equations are:
1: -45A - 45B = -1575
2: 45A + 105B = 2475
Add them together and the "A" term drops out:
-45B + 105B = -1575 + 2475
or
60B = 900
Now divide both sides by 60:
B = 15
Now plug B = 15 into the first equation:
A + 15 = 35 thus A = 20
So Mechanic A (at $45/hour) worked 20 hours and Mechanic B (at $105/hour) worked 15 hours
Check: 20x45 + 15x105 = 900 + 1575 = 2475
Step-by-step explanation:
hope it helps you (:
Tina went out to eat and her bill was $24.75.
She wants to leave the waiter a 20% tip. How
much more money will be added to her bill
once she included the tip?
Answer:
your awnser should be. 24.75 + 20% = $29.70
so the amount added to her bill is $4.95
Answer:
the bill will be 4.95 more than the original cost without the 20% tip.
Step-by-step explanation:
cost before tip: 4.75
cost after 20% tip: 29.70 or 30.00 (rounded)
please help it’s due today !
Answer:
x = -7
Step-by-step explanation:
-7(?)=49
negative times a negative is a positive
7×7=49
-7×-7=49
Enter the value of (−8)(45)(18).
What is the circumference of this circle?
Answer:
37.68
Step-by-step explanation:
[tex]c = 2 \times 6 \times 3.14 = 37.68[/tex]
1 Expand and simplify each expression
a) x(x+2)+x(x+5)
i need help with thisss
Answer:
width= 223.9 ft
Step-by-step explanation:
perimeter=2(l+w)
948.2=2(250.2+w)
948.2=500.4+2w
948.2-500.4=2w
447.8=2w
w=447.8/2
=223.9 ft
hey! please help on this question i'll give brainliest <333 .
Answer:
C, the third choice
Step-by-step explanation:
The Large Counts Condition must be met so that the sampling distribution of a sample proportion is approximately normal. Using appropriate notation, write out the Large Counts Condition for Normality.
Answer:
np>10 and n(1-p)>10
Step-by-step explanation:
Appropriate notation the Large Counts Condition for Normality is The Large Counts Condition for Normality states that is the number of successes and failures which should be above the 10 to be assume normality that is here express as n(p)>10 and n(1-p)>10 This is the notation of the Large Counts Condition for Normality.The Large Counts Condition for Normality: np ≥ 10 and nq ≥ 10.
The Large Counts Condition, also known as the Large Sample Size Condition, is a requirement that must be met to ensure that the sampling distribution of a sample proportion is approximately normal when sampling from a population. This condition is necessary to apply the normal distribution to the sample proportion for various statistical inferences.
Let's denote the following:
- n: The sample size, i.e., the number of observations in the sample.
- p: The population proportion of the characteristic of interest.
- q: The complementary probability to p, such that q = 1 - p.
The Large Counts Condition for Normality states:
np ≥ 10 and nq ≥ 10
In other words, the product of the sample size (n) and the population proportion (p) must be greater than or equal to 10, and the product of the sample size (n) and the complementary probability (q) must also be greater than or equal to 10.
When both of these conditions are satisfied, the sampling distribution of the sample proportion can be approximated by a normal distribution. This approximation is useful for constructing confidence intervals and performing hypothesis tests related to proportions.
To know more about Large Counts, refer here:
https://brainly.com/question/30984845
#SPJ6
(1/2x-3/8) ÷1/3+4/7(5-1/4x)
Answer:
[tex]\frac{19}{14}x + \frac{97}{56}[/tex]
Step-by-step explanation:
I've written my working in the picture. I hope it's clear. :,)
I've expanded the brackets, simplied the fractions before simplifying them again, having found the common denominators of the constants and x terms.
Question 3
Find the slope-intercept form of the equation of the line that passes through (-6, 2)and is parallel to y=2x+3
Answer:
How to use Algebra to find parallel and perpendicular lines. ... y = mx + b. Slope- Intercept Form ... Find the equation of the line that is: ... For y = 3x + 2: the slope is 3, and y- intercept is 2.
¿conjunto de fuerzas aplicado sobre un objeto de manera que la linea de accion de todas las fuerzas convergan en un mismo punto?, ¿ cual es el conjunto de esas fuerzas? . agradecería mucho si lo contestan porfis uwu
Answer:
Fuerzas Convergentes
Fuerza Resultante
I kinda need help with this
Answer:
7.
Step-by-step explanation:
What you can do to figure it out is divide 35 by all the answers. If it comes out even that's the answer. 35/7 = 35
hope this helps, good luck :)
21/5 as a whole number
Nick opens a savings account with $50. Each week after, he deposits $15. In how many weeks will he have saved at least $500?
Answer:
30 weeks
Step-by-step explanation:
$450÷$5=30
He already had $50 in there
Answer:
30 Weeks
Step-by-step explanation:
Since we need to reach a total of 500, we have 50, so we need 450 to get 500, 15 a week, 30 times 15 equals 450. So (30 Weeks) times (15 Each Week) equals 450 plus that 50 he added in the savings account.
BRAINLIEST PLS HELP!!!
Please I need help fast please help me
Answer: 0-o uhhhh 0-o
uhhhh0-o
Step-by-step explanation:
Jackson practices piano four times a week he practices for 40 minutes each time how many minutes does Jackson practice until weeks
Answer:
160 min or 2.66666667 hours per a week
Step-by-step explanation:
its very simple
40*4=160
hope I helped :)
Anthony's little brother gets on a carousel that is 8 meters in diameter. At the start of the ride, his brother is 3 meters from the fence to the ride. How far will his brother be from the fence after the carousel rotates 240°?
Answer:
9 m
Step-by-step explanation:
Given that:
Carousel diameter = 8m
Radius of carousel = 8m / 2 = 4m
From the attached picture :
xo = d ; from the diagram attached ;
Using Pythagoras :
Cosθ = Adjacent / hypotenus
Cos 60 = d / 4
0.5*4 = d
d = 2
d = 2m
d + length of Radius + initial distance from fence
2m + 4m + 3m = 9m
Find each value below.
Answer:
7.) x = 21
8.) y = 6
9.) angle F = 62 degrees
10.) TS = 10
Step-by-step explanation:
5y-2 = 28
5y = 30
y = 6
4x+6 = 90
4x = 84
x = 21
angle F = 90-28
angle F = 62 degrees
3z-8 = z+4
2z = 12
z = 6
TS = z+4 = 10
The ratio of boys to girls in a class is 2 to 3. There are 10 boys in the class. How many girls are there? Be sure to show your work.
Answer:
15 girls
Step-by-step explanation:
Well, the ratio of 2/3, boys to girls. So, you would then try to find an (almost) common denominator, so 2/3 is equivalent to 10/15. In this case, there would be 15 girls
Lol hope this helps
25: Find the value of 9v+9 given that -7v-4=3
Simplify
Answer:
9v + 9 = 0
Step-by-step explanation:
9 (-1) + 9 = 0
tan 2A + sin 2A=4 tan A/(1 - tan4 A)
Answer:
[tex]when \: \\ \tan(2x) = \frac{2 \tan(x) }{1 - {( \tan(x)) }^{2} } \: \: and \\ \sin(2x) = \frac{2 \tan(x) }{1 + {( \tan(x)) }^{2} } \\ then \\ \sin(2x) + \tan(2x) = \frac{2 \tan(x) }{1 - {( \tan(x)) }^{2} } + \frac{2 \tan(x) }{1 + {( \tan(x)) }^{2} } \\ = \frac{2 \tan(x)(1 + {( \tan(x)) }^{2} + 2 \tan(x) (1 - {( \tan(x)) }^{2} }{(1 + {( \ \tan(x)) }^{2}(1 - {( \tan(x)) }^{2} } \\ = \frac{2 \tan(x) \times 2 }{1 - {( \tan(x) }^{4} } \\ = \frac{4 \tan(x) }{1 - {( \tan( \times ) )}^{4} } [/tex]
Step-by-step explanation:
If you need any explanation. I can do it, my friend. you can communicate with me to that or any thing do you need in math
3. Solve for x. Round to the nearest tenth *
25
16
22
Answer:
51.3 degrees
Step-by-step explanation:
How many times bigger is a group of 21 marbles than a group of 7 marbles?
Answer:
21/7=3
3 times bigger.
Step-by-step explanation:
M<6=(x+10), m<2=(x+15)
<6 and <2 are alternate interior angles
Answer:
ano ang pinag kaiba noon kaysa ngayon
Find C and a so that f(x) = CaX models the situation described. State what the variable x represents in your formula. In 2000 a house was worth $220,000, and its value decreases by 11% each year thereafter. please help im failing
Answer:
f(x) = Ca^x
x = years since 2000.
f(0) = 220000 = Ca^0 = C
f(x) = 220000a^x
f(1) = 220000(1-0.11) = 220000a^1
a = 0.89
f(x) = 220000(0.89)^x
So each year reduces by 89%
Ivan and Tanya share £150 in the ratio 4: 1
Work out how much more Ivan gets compared to Tanya.
Answer:
Ivan got £90 more than Tanya.
Step-by-step explanation:
Ivan and Tanya share the amount £150 in the ratio of 4 : 1
Amount received by Ivan = [tex]150\times \frac{4}{(4+1)}[/tex]
= [tex]150\times \frac{4}{5}[/tex]
= £120
Similarly, amount received by Tanya = [tex]150\times \frac{1}{(4+1)}[/tex]
= £30
Difference in their amounts = 120 - 30
= £90
Therefore, Ivan got £90 more than Tanya.