Answer:
5
Step-by-step explanation:
If x is the middle number of the 5 consecutive odd numbers, their product is ...
x(x -2)(x +2)(x -4)(x +4) = x(x² -4)(x² -16) = x⁵ -20x³ +64x
The first 3-digit prime is 101, so the product of that with this is ...
101(x⁵ -20x³ +64x) = 101x⁵ -2020x³ +6464x
Since we're only interested in the units digit, we can find the mod 10 value of this to be ...
(x⁵ +4x) mod 10
Possible units digits of x are 1, 3, 5, 7, 9, so possible units digits of this product are ...
x(x⁴ +4) = 1(1⁴ +4) = 5
3(3⁴ +4) = 3(1 +4) = 5 . . . . mod 10
5(5⁴ +4) = 5(5 +4) = 5 . . . . mod 10
7(7⁴ +4) = 7(1 +4) = 5 . . . . mod 10
9(9⁴ +4) = 9(1 +4) = 5 . . . . mod 10
In every case, the units digit of 101z will be 5.
A population P is initially 3000. Find an exponential model (growth or decay) for the population after t years if the population P decreases by 0.36 every 7 years. (Round your terms to three decimal places.)
The population model is an exponential decay because it decreases
The exponential model of the population is P = 3000(0.64^1/7)^t
How to determine the function?The population decreases by 0.36 every 7 years.
This means that the function is an exponential decay.
An exponential decay function is represented as:
P = a((1 - r)^1/n)^t
Where:
a represents the initial value (3000)r represents the rate (0.36)n represents the number of years the population decreases (7)P and t are the variablesSo, we have:
P = 3000((1 - 0.36)^1/7)^t
Evaluate the difference
P = 3000(0.64^1/7)^t
Hence, the exponential model of the population is P = 3000(0.64^1/7)^t
Read more about exponential functions at:
https://brainly.com/question/11464095
PLEASE HELP ME ASAP
PLEASE NO RANDOM ANSWER OR SPAM!!!
YES IS THE ANSWER BECAUSE X=9
AND 11+3=87
Evan owns a small business selling ice-cream. He knows that in the last week 83
customers paid cash, 8 customers used a debit card, and 2 customers used a credit
card.
Based on these results, express the probability that the next customer will pay with a
debit card or a credit card as a percent to the nearest whole number.
The probability that the next customer will pay with a debit card or a credit card is 12%.
What is the probability that the next customer would pay with a debit card or a credit card?
Probability determines the chances that an event would happen. The probability the event occurs is 1 and the probability that the event does not occur is 0.
The probability that the next customer would pay with a debit card or a credit card = (number of customers that paid with a debit card + number of customers that paid with a credit card) / total number of customers
(8 + 2)/ 83 = 0.12 = 12%
To learn more about probability, please check: https://brainly.com/question/13234031
A data set is normally distributed with a mean of 8.1 and a standard deviation of 3.8.
What percentage of the data is above 8.6?
Enter your answer as a number to the nearest whole percentage, like this: 42%
Answer:
45%
Step-by-step explanation:
Your graphing calculator, statistics app, or spreadsheet can tell you that 45% of the normally-distributed data is above 8.6 when the mean is 8.1 and the standard deviation is 3.8.
If P = (-6, 9), Find:
r90°(P)
([?], [ ]
Answer:
(-9, -6)
Step-by-step explanation:
Rotation 90° = (x, y) --> (-y, x)
(-6, 9) --> (-9, -6)
hope this helps and is right!! p.s. i really need brainliest :)
Among all rectangles that have a perimeter of 188, find the dimensions of the one whose area is largest.
Chana and Josiah started skating at the same time in the same direction, but Josiah had a head start 10
meters past the starting line. Chana skated 3 meters per second and Josiah skated 2 meters per second.
Here's a graph that shows a system of equations for this scenario where x is the number of seconds since
Chana and Josiah started skating and y is the distance in meters from the starting line.
Answer:
josiahs distance from the starting line at a time when shes behind josiah
Step-by-step explanation: got it right in khan
The correct statement according to scenario
Josiah's distance from the starting line at a time when he is behind Chana.
What is Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
We have,
Josiah's head start = 10 meters from the start
Josiah's speed = 2 m/s
Chana's speed = 3 m/s
Now, the distance travelled as
D= d x s+ t
For Josiah, we have;
D = 10 + 2•t (line a)
For Chana, we have;
D = 0 + 3•t = 3•t (line b)
Thus, Josiah's distance from the starting line at a time when he is behind Chana.
Learn more about Equation here:
https://brainly.com/question/28033985
#SPJ3
MATH
NATION
Question 6 of 10
< PREVIOUS QUESTION
A cup is 6.4 cm tall, not including a 0.6 cm lip. Cups are stacked inside one another. You may want to draw a diagram t
you see how the height of the stack of cups increases. Select the function that represents the height of a stack of cups
terms of the number of cups in the stack.
Answer:
If you ever need help on a question and you don’t know the answer just remember this quote “ purple is always the answer”.
Step-by-step explanation: Hope this helps u!
Solve 6x - 3y = 12 for y.
Answer:
6x-3y=12
+3y
6x=3y+12
divide by 3
2x=y+4
-4
y=2x-4
Hope This Helps!!!
Jada measured the height of a plant in a science experiment and finds that, to the nearest 1/4 'of an inch, it is 4 3/4 'inches.
a) What is the largest the actual height the plant could be?
b) What is the smallest the actual height the plant could be?
c) How large could the percent error in Jada’s measurement be?
Answer:
See below.
Step-by-step explanation:
a) 4 7/8 inches
b) 4 5/8 inches
c) 12.5%
The piecewise function h(x) is shown on the graph.
What is the value of h(3)?
-2
ch
0-1
0 1
02
2.
-5 4 -3 -2 -14
2 3 4 5 x
-2
2
-3
-5
Answer:
1
Step-by-step explanation:
Let's say we have y=f (x)
It denotes the y value that corresponds to x.
When x=3, we can see from the graph that
The matching y value for x=3 =1
As a result, h(3)=1
The value of h(3) can be estimated from the piecewise function curve is 1. so option c is correct.
What is piecewise function?A function that is composed of several smaller functions, each with a distinct domain, is said to be piecewise. The term "piecewise" refers to the way in which these sub-functions are defined in terms of various intervals or "pieces" of the function's overall domain.
Given that,
The graph of the piecewise function
The function is divided into two piece
Interval-1 x ∈ [-4, -1)
Interval-2 x ∈ [-1, 4]
The value of the function when x is equal to 3,
In the graph it is clearly mention that for x =3
the output value of the function is 1
Hence, the output value is 1
To know more about piecewise function check:
https://brainly.com/question/12561612
#SPJ5
Drew and Beau each brought cylindrical water bottle to football practice. Drew's water bottle has a diameter of 3 inches and a height
of 7 inches. Beau's water bottle has a radius of 2 inches and a height of 9 inches. Whose water bottle holds more water and how much more does it hold? Round to the nearest hundredth.
The bottle that holds more water has the larger volume
Beau's water bottle holds more water
How to determine the bottle with more water?The given parameters are:
Drew
Diameter = 3 inchesHeight = 7 inchesBeau
Radius = 2 inchesHeight = 9 inchesThe volumes of their bottles is calculated using:
V = πr^2h
So, we have:
Drew = 3.14 * (3/2)^2 * 7
Drew = 49.46
Beau = 3.14 * (2)^2 * 9
Beau = 113.04
By comparison, 113.04 is greater than 49.46
Hence, Beau's water bottle holds more water
Read more about volumes at:
brainly.com/question/1972490
What is the area of this trapezoid?
15 ft
Enter your answer in the box
18 ft
37 ft
Ft^2
Answer: I am pretty sure it's 18 feet.
Step-by-step explanation:
. Gemma plans to run 5 miles her first week and increase the amount she runs each week by 20% Which of the following is closest to the total distance Genna has run after 10 weeks.
A: 115 miles. B: 130 miles
C: 138 miles. D: 145 miles
I am so confused... I need help
Find m<1 -will mark brainly
Answer:
50°
Step-by-step explanation:
90-40= 50° ............
TRUE or FALSE? The only difference between involuntary manslaughter and voluntary manslaughter is reckless conduct
Answer:
Yeah?
Step-by-step explanation:
dunno if this is and actual school related question but to me, yeah thats the only difference cuz the meaning of involuntary manslaughter is death thru recklessness/something close to that
Find the larger solution of the exponential
equation
2^x^2= 4^3x
Answer:The larger solution is 6
Step-by-step explanation:
solve for t; 1/11=cos((2π/3)t)
Answer:
Step-by-step explanation:
Method
Take the inverse Cos of both sides. That will give you the angle on the left.
From there you can solve for t
cos-1(1/11) = cos-1 cos ((2pi/3)t)
1.4798 = 2*pi*t/3 Multiply both sides by 3/2
1.4798 * 3/2 = (2pi*t/3)*3/2
2.2196 = 2*pi*t Divide both sides by 2*pi
2.2196 / (2*pi) = t
t = .3534
This was done by setting my calculator to radians. 1.4798 is a radian measure.
a thousand dollars is left in a credit union drawing 7% compounded monthly. what is the balance at the end of 10 years
Answer:
$9400
Step-by-step explanation:
You start with $1000 and get 7% more every month.
7% of 1000 is 70 so that means $70 is added to the credit union each month.
So you add $70 dollar to $1000 for every month there is which would be 12 months timers the ten years:
1000 + (70 x 12 x 10) = 9400
4² - 5² × 2³ what is the value of the expression.
[tex]4 {}^{2} - 5 {}^{2} \times 2 {}^{3} [/tex]
[tex]16 - 25 \times 8[/tex]
[tex]16 - 200[/tex]
[tex] - 184[/tex]
Hello!
Let's evaluate this expression.
4²-5²×2³
4²=16
16-5²×2³
5²=25
16-25×2³
2³=8
16-25×8
According to PEMDAS, the next operation is multiplication (M)
16-200
Subtract:
-184
Hence, the simplified expression is equal to
[tex]\boxed{\boxed{\bold{-184}}}[/tex]
Hope everything is clear.
Let me know if you have any questions!
#KeepLearning
:-)
50 points!!
Solve |y + 2|>6
A. {y|y<-8 or y>4}
B. {y|y<-6 or y>6}
C. {y|y<-4 or y>4}
Answer:
[tex]y < -8[/tex]
[tex]y > 4[/tex]
Step-by-step explanation:
Absolute Value Inequality entered :
|y+2|>6
Step by step solution :
Step 1: Rearrange this Absolute Value Inequality
Absolute value inequalitiy entered
|y+2| > 6
Step 2: Clear the Absolute Value Bars
Clear the absolute-value bars by splitting the equation into its two cases, one for the Positive case and the other for the Negative case.
The Absolute Value term is |y+2|
For the Negative case we'll use -(y+2)
For the Positive case we'll use (y+2)
Step 3: Solve the Negative Case
-(y+2) > 6
Multiply
-y-2 > 6
Rearrange and Add up
-y > 8
Multiply both sides by (-1)
Remember to flip the inequality sign
y < -8
Which is the solution for the Negative Case
Step 4: Solve the Positive Case
(y+2) > 6
Rearrange and Add up
y > 4
Which is the solution for the Positive Case
Step 5:
Wrap up the solution
y < -8
y > 4
Solutions in Interval Notation
(-∞,-8)
(4,+∞)
Solutions on the Number Line
Two solutions were found :
y > 4
y < -8
Which set has an average of 2?
A) A
B) B
C) A and B
D) none of the above
Answer:
the answer is option b because the sets in option b have an average of two and above
(8.2 + (-1.9))² ÷ (-2.7)
How many sweatshirts sold is BEST predicted with an outside temperature of 5 °F? A) 170 B) 200 C) 230 D) 250
A movie theater charges 9.00 for adults and $3.00 for senior citizens. On a day when 306 people paid for admission, the total receipts were $1554. How many who
paid were adults? How many were Seniors?
Answer: 2495
Step-by-step explanation:
9x + 7(325)-7x = 2495
2x = 220
x = 110 adults and 215 senior citizens
CHECKING our answer***
$990 + $1505 = $2495
Wish You the Best in your Studies.
The diameter of a circular placemat is 42 centimeters. What is the approximate area of the circular placemat
[tex] area \: of \: a \: circle \: or \: circular \: object \: = \pir^{2} \\ \: [/tex]
Answer:
1386cm^2.
Step-by-step explanation:
Radius of a circle = diameter / 2
= 42cm /2
= 21cm.
Area = (3.142 *21*21)cm^2
= 1386cm^2
To convert into metres:
=1386/100
=13.86m^2
Hamilton, NY has 73465 residents, and 12 members on their Board of Trustees. The three districts of Basel, Heights, and Dagonal have the following populations: Basel: 13,244 Heights: 30, 415 Dagonal: 29,806 Determine the standard quota (to two decimal places) for the Dagonal district. 6) Gotham City is to apportion 16 seats to districts with populations as follows: North: 785 South: 1,125 East: 1,950 West: 415 Find the standard divisor What are the standard, lower, and upper quotas for the four districts?
a) The determination of the standard quota for the Dagonal district is 40.57%.
b) 1. The standard divisor is 267.19 (4,275/16).
2. The standard, lower, and upper quotas for the four districts are as follow:
North South East West
Standard quota 18.36% 26.32% 45.61% 9.71%
Lower quota 18% 26% 45% 9%
Upper quota 18% 26% 46% 10%
What is the quota method of apportionment?The quota method of apportionment is the use of the standard divisor to round off standard quotas, according to some agreed ground norms.
When the standard quota is rounded down to an integer, it gives the lower quota, and rounding up gives the upper quota.
The standard divisor is calculated as the total population divided by the total number of seats.
The standard divisor gives the average number of people represented by a Board or seat member.
Data and Calculations:Hamilton, NY Population:
Residents of Hamilton, NY = 73,465
Board Trustee Members = 12
Basel Heights Dagonal Total
Population 13,244 30, 415 29,806 73,465
Proportion 18.03% 41.40% 40.57% 100%
Allocation of Board
Seats 2 5 5 12
Gotham City Population:
Number of seats = 16 seats
North South East West Total
Population 785 1,125 1,950 415 4,275
Proportion 18.36% 26.32% 45.61% 9.71% 100%
Allocation of Board
Seats 3 4 7 2 16
Learn more about the quota system at brainly.com/question/12105335
8. Anita recorded the amount of rainfall in
her area each day for 14 days. What was
the total amount of rainfall in the 14 days?
A 40 cm
B 36 cm
C 13.5 cm
D 12.5 cm
How to determine the total amount of rainfall
From the dot plot, we have the following frequency table
Rainfall Frequency
0 4
1/8 5
1/4 1
3/8 2
1/2 1
1 1/4 1
= 3/8 inches
Solve the inequality 46 > y + 11
Answer:
Inequality Form:
y<35
Interval Notation:
(−∞,35)
Answer:
y is smaller than 34 or less
Step-by-step explanation:
put the 11 to the other side and make it a negative then you get 46-11=35 than it says 35>y