Answer:
All terms separated by 6 so #20 = 4 + 6 * 19 = 118
(if the first term were 6 instead of 4 the 20th would be 120)
Also, #10 = 58 and #11 = 64 (you can use the same reasoning)
The 1st and 20th term add to 4 + 118 = 122
The 2nd and 19th add to 10 + 112 = 122
Likewise 10th and 11th add to 58 + 64 = 122
So 10 * 122 = 1220
3 2/6+8 2/9-1 1/2 ?????????
Answer:
10 1/18
Step-by-step explanation:
3 2/6 + 8 2/9 - 1 1/2 = ?
First, we need to find the common denominator, which I will choose to be 18, which means I will need to convert all the fractions.
3 6/18 + 8 4/18 - 1 9/18 = ?
Now, we solve.
3 6/18 + 8 4/18 - 1 9/18 = 10 1/18
Sophie invested $93,000 in an account paying an interest rate of 5.6% compounded quarterly. Assuming no deposits or withdrawals are made, how long would it take, to the nearest year, for the value of the account to reach $170,500?
Answer:
11
Step-by-step explanation:
What is the value of
5
5 units, as a fraction greater than
1
1?
An entrepreneur is considering the purchase of a coin-operated laundry. The current owner claims that over the past 5 years, the mean daily revenue was $675 with a population standard deviation of $75. A sample of 30 days reveals a daily mean revenue of $625. If you were to test the null hypothesis that the daily mean revenue was $675, which test would you use
Answer:
One sample t test
Step-by-step explanation:
A one proportion sample t test is employed when we intend to test the sample mean of a certain sample against a particular or specified population property . In the scenario above, we could use the information given to obtain the one sample proportion test statistic by using the formular :
Test statistic = (xbar - μ) ÷ (σ/sqrt(n))
Where, xbar = sample mean ;
μ = population mean
σ = population standard deviation
n = sample size
Using the test statistic, we can then obtain the Pvalue and compare to the specified α - level
Solve the simultaneous equations
2x - 5y = 9
3x + 4y = 2
Answer:
(2, - 1 )
Step-by-step explanation:
Given the 2 equations
2x - 5y = 9 → (1)
3x + 4y = 2 → (2)
Multiplying (1) by 4 and (2) by 5 and adding the result will eliminate the y- term
8x - 20y = 36 → (3)
15x + 20y = 10 → (4)
Add (3) and (4) term by term to eliminate y
23x + 0 = 46
23x = 46 ( divide both sides by 23 )
x = 2
Substitute x = 2 into either of the 2 equations and solve for y
Substituting into (2)
3(2) + 4y = 2
6 + 4y = 2 ( subtract 6 from both sides )
4y = - 4 ( divide both sides by 4 )
y = - 1
solution is (2, - 1 )
A triangular pyramid is cut by a plane. In which case is the cross section a quadrilateral?
9514 1404 393
Answer:
the cut plane is between non-intersecting edges
Step-by-step explanation:
The cross section will be a quadrilateral when the cut plane intersects four of the six edges of the pyramid. This will be the case when the plane lies between two edges that do not intersect.
If baseball were played on Mars, the balls would fly much farther than they
do on Earth. One could then speculate that the number of home runs hit
would be much greater on Mars. Mike expects that he would hit 50% more
home runs if he were playing baseball on Mars. If he hit 76 home runs on
Earth, how many home runs does he expect he would hit on Mars?
Answer: 114 homeruns on mars
Step-by-step explanation: 76 homeruns x 0.5 = 38
76+38 = 114
If ∠R and ∠S are supplementary angles and m∠R = 39°, find m∠S.
Answer: m∠S=141°
Step-by-step explanation:
Here, we need to know the definition of supplementary angles. Supplementary angles are two angles that add up to 180°. If you need a more detailed graphical explanation, please refer to the attachment below.
---------------------------------------------------------------------------------------------
Given
m∠R=39°
Solve
Given
m∠R + m∠S=180
Substitute value
39 + m∠S=180
Subtract 39 on both sides
39 + m∠S - 39=180 - 39
m∠S=141
Hope this helps!! :)
Please let me know if you have any questions.
Suppose that the number of bacteria in a certain population increases according to a continuous exponential growth model. A sample of 1500 bacteria selected
from this population reached the size of 1805 bacteria in four hours. Find the hourly growth rate parameter.
Note: This is a continuous exponential growth model.
Write your answer as a percentage. Do not round any intermediate computations, and round your percentage to the nearest hundredth.
00
E
Answer:
The hourly growth rate parameter is of 4.74%
Step-by-step explanation:
Continuous growth model:
The continuous growth model for a population after t hours is given by:
[tex]P(t) = P(0)(1+r)^t[/tex]
In which P(0) is the initial population and r is the hourly growth rate parameter, as a decimal.
A sample of 1500 bacteria selected from this population reached the size of 1805 bacteria in four hours.
This means that [tex]P(0) = 1500, P(t) = 1805, t = 4[/tex]
Find the hourly growth rate parameter.
[tex]P(t) = P(0)(1+r)^t[/tex]
[tex]1805 = 1500(1+r)^4[/tex]
[tex](1+r)^4 = \frac{1805}{1500}[/tex]
[tex]\sqrt[4]{(1+r)^4} = \sqrt[4]{\frac{1805}{1500}}[/tex]
[tex]1 + r = (\frac{1805}{1500})^{\frac{1}{4}}[/tex]
[tex]1 + r = 1.0474[/tex]
[tex]r = 0.0474[/tex]
0.0474*100% = 4.74%
The hourly growth rate parameter is of 4.74%
Jericho takes 3 test in one month the number of correct answers and the total number of questions on each test are shown in the table list the test in order from the least percent of questions correct to the greatest percent of question
Test Correct answers Total questions
Science 36 40
History 23 25
Math 44 50
1. If the 3rd term of a geometric sequence is 1,000 and the 2nd term is 100, what is
the 1st term?
Answer: 10
Step-by-step explanation: If you do the 3rd term divided by the 2nd term, that gives you 10. So, if the 1st term is 10, you do 10 times 10 which is 100 (2nd term) and 100 times 10 which is 1,000 (3rd term).
What is value of the expression 9x+4y when x= and y=8
Answer: sorry about that Evaluate for y=8
9x+(4)(8)
9x+(4)(8)
=9x+32
Hope this help :D
Answer:
It doesn't say what x is so once you have x all you have to do is insert the numbers in their place, so you will get 9(x) + 4(8). Now multiply 9 by x, then multiply 4 and 8, which is 32. Now add 32 and whatever 9 times x is. Hope this helps!
If A = (0,0) and B = (8, 2), what is the length of AB?
A. 8.25 units
B. 9.41 units
C. 3.16 units
D. 7.75 units
Answer:
8.25
= root under (8-0)^2+(2-0)^2
= root under (8)^2+(2)^2
=root under 64+4
= root under 68
8.25 units
I hope this will help you and plz mark me as brainest answer
Helppppp I have until 11:30 and it’s 10:36
Answer:
911
Step-by-step explanation:
Now you can get help
How many people have larger than a size 10 shoe?
Answer:
no not me I have a size 7 .how about you
pls help me on this !!!
Abcdefghijklmnopqrstuvwxyz
Answer:
50
Step-by-step explanation:
22 + 18 = 40
90 - 40 = 50
no way you can round it
Does this line represent a positive or negative slope?
How do you know?
only answer if you really know the answer !
Answer:
positive it is moving to the positive side of the graph
A stainless steel patio heater is a square pyramid. The length of one side of the base is 24.8 in. The slant height of the pyramid is 89.3 in. What is the height of the pyramid?
Answer:
The height is 88.434in
Step-by-step explanation:
help please thank you
Answer:
i think its 8r^4
hope this helps
Step-by-step explanation:
Tyrell bought 4 liters of fruit punch for a party
Uhh, you didn't provide the actual question. All you said was "Tyrell bought 4 liters of fruit punch for a party".
In ΔNOP, p = 240 cm, n = 270 cm and ∠O=22°. Find the area of ΔNOP, to the nearest square centimeter.
Answer:
Area≈12137.254≈12137
Step-by-step explanation:
Delta math
A company has recently been hiring new employees. Today the company has 33% more employees than it did a year ago. If there are currently 39,900employees, how many employees did the company have a year ago?
Answer:
33% of 39900=13,167
39900-13167=26733
PLEASE HELP!!! Needed ASAP!
Simplify fully
4x2 + 4x
2x² – 2
Answer:
4 × 2 = 8 + 4 = 12 × 2 = 24 - 2 = 22
22 is the FINAL answer
#carryonlearning
Help please will mark brainless 25 points due today
Lincoln has a coin collection. He keeps 3 of the coins in his box, which is 5% of the collection. How many total coins are in his collection?
Answer:
3 times 20 equals 60
Step-by-step explanation:
Answer:
60
Step-by-step explanation:
is/of = %/100
'x' = # coins
3/x = 5/100
cross-multiply
5x = 300
x = 60
If x3=125 and y3=8, what is the value of y−x
Answer:
X= 5
Y= 2
Y-X= 2-5= -3
The radius of a circle is 10 m. Find the circumference to the nearest tenth.
Answer:
[tex] \bf \large 60 \: m[/tex]
Step-by-step explanation:
Given that :The radius of a circle is 10 m.to find :Find the circumference to the nearest tenth.formulas used :circumference = 2 × π × rwhere,π = 22/7
r = 10 m
explanation :⟼ c = 2πr
⟼ c = 2 × 22/7 × 10 m
⟼ c = 2 × 3•14 × 10m
⟼ c = 6•28 × 10 m
⟼ c = 62•8 m
Round to the nearest tenth :⟼ c = 62•8 m
⟼ c = 60 m
∴ circle circumference is 60 m.
If 5% of 100 is 5 and 10% of 100 is 10, what is 35% of 100? Explain your reasoning.
Answer:
35% of 100 is 35
Step-by-step explanation:
the first person who answered this did a good job at explaining it
Answer:
35% of 100 is 35
Step-by-step explanation:
so trying to get this right hope it helps :D
A culture of 3,000 bacteria quadruples in number every 10 hours. Plt) represents the
population of the bacteria after thours. Which equation best models the growth of
the bacteria?
Answer:
P(t) = 3000 * 4^(t/10)
Step-by-step explanation:
There is more than one way to get an exponential function out of the information given. The way the question is worded, however, seems to suggest the following type of answer:
One general form of the exponential function is y = a·bx, where a is the initial value, and b is the growth or decay factor. So right away we can say that a = 2300.
Now for the growth factor. When something is increasing or decreasing by a certain percentage, we are adding or subtracting that percentage to the 100% (which is equal to 1) that exists currently. So here we're increasing by 11%, or 0.11. Then the growth factor b is (1 + 0.11), or 1.11.