All categories

3 years ago

The sum of 40 consecutive integers is 100. what is the smallest of these 40 integers

1 answer:

3 0

Easy Way
100÷40=2.5 is exact middle of the integers so 20 integers are above 2.5 and 20 integers are below

22..21..20..19..18..17..16..15..14..13..12..11..10..9..8..7...6..5..4..3

2.5

2..1..0..-1..-2..-3..-4..-5..-6..-7..-8..-9..-10..-11..-12..-13..-14..-15..-16..-17..

This link will show you different equations
http://web2.0calc.com/questions/the-sum-of-40-consecutive-integers-is-100-what-is-the-smallest-of-these-40-integers

You might be interested in

Donovan brought 5 1/2 kilograms of flour $8.25

VashaNatasha [74]

A. True, 33/4 × 2/11 = 1,5$
b. False, 8.25÷5.5= 1.5$/kg
c) True

8 0

3 years ago

Find the equation of the exponential function represented by the table below:

Elden [556K]

Answer:

The equation of the exponential function represented by the table will be:

$f(x)= 2(4)^{x}$

Step-by-step explanation:

We know the equation of exponential function such as

$f(x) = ab^{x}$

Put x=0, and y=2 in the function

$2 = ab^{0}$

$2 = a$

Also x=1, and y=8 in the function

$8 = 2b^{1}$

$b=4$

Thus,

$f(x) = ab^{x}$

$= 2(4)^{x}$

Therefore, the equation of the exponential function represented by the table will be:

$f(x)= 2(4)^{x}$

7 0

3 years ago

Which statement regarding the diagram is true?

In-s [12.5K]

The answer is C, mWXY + mYXZ = 180 degrees. This is true because if you look at the diagram, angle WXY and angle YXZ are supplementary angles, meaning that they equal 180 degrees.

3 0

3 years ago

A biologist is studying the growth of a particular species of algae. She writes the fall inclusion to show the radius of the alg

horrorfan [7]

Answer:

Part A)

A reasonable domain to plot the growth function is:

$0\leq d \leq 12$

Part B)

The y-intercept represents that when the biologist started her study, the radius of the algae was five millimeters.

Part C)

The average rate of change from d = 4 to d = 11 was about 0.11. This means that from the 4th day to the 11th, the radius of the algae grew, on average, at a rate of 0.11 mm per day.

Step-by-step explanation:

The radius of the algae f(d) in millimeters after d days is given by the function:

$f(d)=5(1.02)^d$

Part A)

We know that the radius of the algae was approximately 6.34 mm when the biologist concluded her study. To find the reasonable domain, we can substitute 6.34 for f(d) and solve for d. Therefore:

$6.34=5(1.02)^d$

Divide both sides by five:

$(1.02)^d=1.268$

Take the log of both sides with base 1.02:

$\displaystyle d=\log_{1.02}1.268$

Using the Change of Base Property, evaluate for d:

$\displaystyle d=\frac{\log 1.268}{\log 1.02}=11.9903...\approx 12$

So, the biologist concluded her study after 12 days.

Therefore, a reasonable domain to plot the growth function is:

$0\leq d\leq 12$

Part 2)

The y-intercept of the function is when d = 0. Find the y-intercept:

$f(0)=5(1.02)^{(0)}=5(1)=5$

Since d represent the amount of days after the study had begun, the y-intercept represents the radius of the algae on the initial day.

So, when the biologist started her study, the radius of the algae was five millimeters.

Part 3)

To find the average rate of change for a nonlinear function, we find the slope between the two endpoints on the interval.

We want to find the average rate of change of f(d) from d = 4 to d = 11.

Find the endpoints:

$f(4)=5.4121...\text{ and } f(11)=6.2168...$

And find the slope between them:

$\displaystyle m=\frac{f(11)-f(4)}{11-4}=0.1149...\approx 0.11$

Since f(d) measures millimeters and d measures days, this tells us that, on average, the radius of the algae grew by about 0.11 mm per day from the 4th day to the 11th day.

5 0

3 years ago

Find the area of the following parallelogram: 1.5 cm 2.5 cm 2.25 cm A= [?] cm

Serggg [28]

Answer:

given,

base (b) = 2.25cm

height (h) = 1.5 cm

now,

area (a) = b×h

or, a=2.25cm×1.5cm

therefore the area of parallelogram is 3.375cm^2.

hope it helps..

7 0

3 years ago