Answer:
[tex]T_n = 200 * (\frac{1}{5})^{n-1[/tex]
Step-by-step explanation:
Given
[tex]Sequence: 200,40,8[/tex]
Required
The nth term
The given sequence is a geometric sequence.
So, first we identify the first term
[tex]a = 200[/tex]
Calculate common ration
[tex]r = \frac{40}{200}[/tex] or [tex]r = \frac{8}{40}[/tex]
[tex]r = \frac{1}{5}[/tex]
So, the nth term is:
[tex]T_n = ar^{n-1[/tex]
[tex]T_n = 200 * (\frac{1}{5})^{n-1[/tex]
2. Medication B is available in a liquid capsule of 150 mg per capsule. 600 mg/kg per
day is ordered for a child weighing 44 lbs. How many mgs should be given to this child
per day? How many capsules will the nurse administer to the child per day?
Answer:
12000 mg/day or 80 capsules
Step-by-step explanation:
First let's convert 44 lbs to kg. You could divide by 2.205 to get more precise answer but since 44 divides perfectly by 2.2 I don't think it's a coincidence it's meant to be rounded.
44/2.2=20 kg
600*20=12000 mg per day
12000/150=80 capsules
Seems a bit excessive but looking over my process I don't see any mistakes.
PLS HELP!
Find the volume of this triangular prism.
Be sure to include the correct unit in your answer.
6 cm
9 cm
K
5 cm
Answer:
135cm^3
Step-by-step explanation:
Select all the sets of numbers that are possible values for x in the inequality, x>-2
Answer:
2,4,6
Step-by-step explanation:
inequiality x should be big than -2 so 2,4,6 is the set
Pls help me pls pls I beg you
Answer:
3/32 in³
Step-by-step explanation:
To find the volume of a rectangular prism, multiply the length, width, and height.
[tex]\frac{3}{4} *\frac{1}{2} *\frac{1}{4} =\frac{3}{32}[/tex]
Therefore, the volume is 3/32 in³.
their sum is -11 and the difference is 41
Answer:
x+41=-11 I guess
Step-by-step explanation:
What is the median of the data?
3
8
5
5.5
Answer:
Median= middle number
(Example) 1, 4 ,6, 7 ,12
6 Would be the median here
so, 3, 3, 4, 4, 5, 5, 5, 5, 6, 7, 8,
5 Is the middle number and the median
Step-by-step explanation:
Answer:
5
Step-by-step explanation:
3, 3, 4, 4, 5, 5, 5, 5, 6, 7, 8
Hope this helped! Please leave any questions or concerns in the comments byeee <3
Find the distance between the two points rounding to the nearest tenth (if necessary).
(8,
-4) and (3,8)
Find the distance between the two points rounding to the nearest tenth (if necessary).
(8,
-4) and (3,8)
Answer:
13 units
Step-by-step explanation:
(8, -4) and (3,8)
To find the distance of two points, we use the distance formula:
[tex]d = \sqrt{(x_{2}-x_1)^2 + (y_2-y_1)^2 }[/tex]
Let's plug in what we know.
[tex]d = \sqrt{(3 -8)^2 + (8 - (-4))^2 }[/tex]
Evaluate the double negative.
[tex]d = \sqrt{(3 -8)^2 + (8 + 4)^2 }[/tex]
Evaluate the parentheses.
[tex]d = \sqrt{(-5)^2 + (12)^2 }[/tex]
Evaluate the exponents.
[tex]d = \sqrt{(25) + (144) }[/tex]
Add.
[tex]d = \sqrt{(169)}[/tex]
Evaluate the square root.
[tex]d = 13[/tex]
13 units
Hope this helps!
Answer:
12
Step-by-step explanation:
a⋅(a+b)= c⋅(c + d) formula
9⋅(9+x)= 3⋅(3+60)
81+9x=3(63)
81+9x=189
-81 -81
9x=108
x=12
In ΔGHI, the measure of ∠I=90°, the measure of ∠G=11°, and GH = 8.8 feet. Find the length of IG to the nearest tenth of a foot.
The scores of 10 golfers were 77; 74; 78; 72; 70; 85; 71; 76; 80; 70. Calculate the mean of the dataset.
Answer:
The mean should be 75.3.
Step-by-step explanation:
[tex]\frac{77+74+78+72+70+85+71+76+80+70}{10}\\\\\frac{753}{10}\\\\\boxed{75.3}[/tex]
Hope this helps!
Subtract -41-(64)-11-16
The answer is -132...............................Plz the brainliest
Answer: =−132
Step-by-step explanation: Hope this help :D
Write an equivalent expression for -24 + 54n.
Answer:
30n
Step-by-step explanation:
-24+54=30×n=30n
I needed 20 more letters so ya lol
Answer:
-6 (4-9n)
Step-by-step explanation:
Can someone help me solve the rest please
Answer:
289
Step-by-step explanation:
The sides are in the ratio of 52 to 68, or 52/68 = 13/17.
The ratio of area is the square of the ratio of sides.
Areas are in the ratio of 13^2 to 17^2 or 169/289
A used car dealership surveyed 50 customers who bought a card from them two years ago. 78% of customers said that they would recommend this dealership to their friends. What is the 90% confidence interval for the percent of all former buyers who would recommend this dealership to their friends
Answer:
The 90% confidence interval for the percent of all former buyers who would recommend this dealership to their friends is (68.36%, 87.64%).
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which
z is the z-score that has a p-value of [tex]1 - \frac{\alpha}{2}[/tex].
A used car dealership surveyed 50 customers who bought a card from them two years ago. 78% of customers said that they would recommend this dealership to their friends.
This means that [tex]n = 50, \pi = 0.78[/tex].
90% confidence level
So [tex]\alpha = 0.1[/tex], z is the value of Z that has a p-value of [tex]1 - \frac{0.1}{2} = 0.95[/tex], so [tex]Z = 1.645[/tex].
The lower limit of this interval is:
[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.78 - 1.645\sqrt{\frac{0.78*0.22}{50}} = 0.6836[/tex]
The upper limit of this interval is:
[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.78 + 1.645\sqrt{\frac{0.78*0.22}{50}} = 0.8764[/tex]
As a percent:
0.6836*100% = 68.36%
0.8764*100% = 87.64%
The 90% confidence interval for the percent of all former buyers who would recommend this dealership to their friends is (68.36%, 87.64%).
Solve for x Round to the nearest tenth, if necessary.
Answer:
Step-by-step explanation:
take 20 degree as reference angle
using sin rule
sin 20=opposite/hypotenuse
0.34=3/x
x=3/0.34
x=8.82
x=8.8
Which of the statements below are correct regarding cost of goods sold?
some1 hurry need help
Answer:
C) 11
Step-by-step explanation:
The common multiples less than 70 of 6 and 8 are: 24 and 48.
If there are 24 blue and green (12 each), there would be 46 yellow and red. Half of 46 is 23, which isn’t an answer choice.
If there are 48 blue and green (24 of each), there would be 22 yellow and red. Half of 22 is 11.
PLZ HELP ILL GIVE BRAINLIEST FOR RIGHT ANSWER!!!
This line plot shows the number of hours students studied for a final exam.
How many students studied at least four hours for the final exam?
Enter your answer in the box.
___students
Answer:
4
Step-by-step explanation:
the answer is 4 because 2 people studied 4 hours, 1 person studied 4.5 hours and one person studied 8.5 (they are insane) which would total to 4 people studying for at least 4 hours.
Plz mark brainliest
Rochelle received a $15 gift card to an online music store. She downloaded 12 songs that each cost the same price. After the gift card was applied, her total was $8.88. Which equation can be used to find , the price of each song?
A.) 12p - 15 = 8.88
B.) 8.88 - 12p = 15
C.) 12p + 8.88 = 15
D.) 15p + 12 = 8.88
Answer:
D
Step-by-step explanation:
I need help I'm confused again need help asap
Answer:
1/8th chance of spinning yellow
or as a decimal 0.125
Step-by-step explanation:
Hope this helps
Anthony buys 5 boxes of cookies: Emily buys r times as many boxes of cookies as Anthony.
Which expression represents the total boxes of cookies that Anthony and Emily buy?
r +5
r + 10
5r+r
5r + 5
Answer:5r +5
Step-by-step explanation:
come get a hundred points
50 points, not 100 points...
Help Emergency!
Linda is adding padding to all of the surfaces inside her attic for extra warmth in the winter.
She needs to find the approximate surface area of the attic, including the walls floor, and
ceiling. The attic is in the shape of a triangular prism. Linda draws the net and writes
the expression below to represent the surface area of the attic. Are Linda's net and
expression correct?
Answer:
4,350
Step-by-step explanation:
I'm taking the diagnostic
Solving
Tamika and Bryan hiked 7 miles a day.they hiked for 5days
Kurt and Sade hiked 5 miles a day. How many days did it take Kurt and sade
to hike the same distance as Tamika and bryan
sentence to solve.
Answer:
7 days
Step-by-step explanation:
Tamika and Bryan :
Distance per day = 7 miles
Number of days = 5
Tottal distance hiked = 7*5 = 35 miles
Kurt and Sade :
Distance per day = 5 miles
Number of days = x
Total distance hiked = 5x
35 = 5x
x = 35 /5
x = 7
please solve and show steps I don't know how to solve this
Answer:
plug 3 into the equation:
y = 1/3(3) + 1
= 1 + 1
= 2
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12
The number of Internet users in Latin America grew from 40.8 million in 2009 to 85.6 million in 2016. Use the geometric mean to find
the annual growth rate. (Round your answer to 2 decimal places.)
2
points
Mean annual growth rate
S 02 21:50
References
HELP PLZZZ I WILL GIVE BRAINLIEST!!!!!!!!!!!!!!!!!!!!!!!!!!!
A survey found that 40% of shoppers at Max-a-mart like chocolate ice cream. If 20 shoppers like chocolate ice cream, how many people were surveyed?
a) 20
b) 30
c) 50
d) 100
The sixth-grade class is raising money to have a
class trip at the end of the year. They began the year
with $1,500. Now they have $1,650 in the account.
What is the percent increase for the money the class
has raised?
Answer:
There is a 10 percent increase
10. A company is considering building a manufacturing plant. They determined the weekly
production coast at site A to be A(x) = 3x2 while the production cost at site be is B(x) =
8x + 3, where x represents the number of products, in hundreds, and A(x) and B(x) are
the production costs in hundreds of dollars.
Answer:
3
Step-by-step explanation:
i don't know i had to answer this and i put 300 but apparently its 3..?
What is the value of the geometric series?
3,069
1,533
1,023
Answer:
A.
Step-by-step explanation:
A pistol is accidentally discharged vertically upward from a height of 3 feet above the ground. If the bullet has an initial velocity of 200 feet per second the path of the bullet is modeled by the equation h=-16t 2 +200t+3, what maximum height will it reach before it starts to fall back down to the ground?
Answer:
hmax = 628 ft
Step-by-step explanation:
The bullet will reach its maximum height when its velocity h'(t) becomes zero. The equation of motion is
h(t) = -16t^2 + 200t + 3
Taking the derivative of h(t) is
h'(t) = -32t + 200
Solving for t when h'(t) = 0, we get
t = 200/32 = 6.25 s
and this is the time it takes for the bullet to reach its maximum height. Using this value for t into h(t), we get
h = -16(6.25 s)^2 + 200(6.25 s) + 3
= 628 ft