3 5/6 + (-1 1/6) Add, Write in simplest form

An elephant at the zoo maintains her weight by eating 2.5% of her body weight in food each day. If she maintains a constant weig

Lelu [443]

Answer:

2100

Step-by-step explanation:

Multiply the rate by the time and the weight to find the amount per week.

(2.5%/day)(6 tons)(2000 lb/ton)(7 days/week) = 2100 lb/week

7 0

3 years ago

The average number of customers per day at a home improvement store is given in the following table. Let x represent the day whe

nika2105 [10]

Answer:

A. $33.690\sin (0.887x + 1.337) + 81.684$ .

Step-by-step explanation:

We are given that,

x = Number of days where 1 = Sun of 1st week and 7 = Sat of first week.

The corresponding table for the data is given by,

Days Day Number Number of Customers

Sun 1 115

Mon 2 77

Tue 3 60

Wed 4 51

Thur 5 68

Fri 6 86

Sat 7 120

The general form of the regression model is $a\sin (bx+c)+d$ .

Using the sinusoidal regression calculator, we get that,

a = 33.690

b = 0.887

c = 1.337

d = 81.684

That is, the sine regression model is $33.690\sin (0.887x + 1.337) + 81.684$ .

Thus, option A is the sine regression model for the given data.

6 0

3 years ago

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If the simple interest on $2,000 for 3 years is $300 then what is the interest rate?

Alona [7]

Answer:

100 dollars a year

Step-by-step explanation:

4 0

2 years ago

Help please

rusak2 [61]

Answer:

See below

Step-by-step explanation:

f(x) is quadratic function and g(x) is linear (since AP in the right column).

Find the equation of the function f(x), use the points on the graph:

f(x) = ax² + bx + c

c = 5 as the y-intercept is (0, 5)
a(-1)² + b(-1) + 5 = 0 ⇒ a + 5 = b
a(5²) + b(5) + 5 = 0 ⇒ 25a + 5b + 5 = 0 ⇒ 25a + 5a + 25 + 5= 0 ⇒ a = -1 ⇒ b= 4

The function is:

f(x) = -x² + 4x + 5

Find the equation of g(x)

Find the slope of g(x):

m = (1 - 7)/(-1 + 4) = -2

Use (-4, 7) to find its equation:

y - 7 = -2(x + 4)
y = -2x + 7 - 8
y = -2x - 1

<h3>See the required comparison below</h3>

The y-intercepts:

f(x) ⇒ 5,
g(x) ⇒ -1
-5 < - 1

Values at x = 3:

f(3) = -3² + 4(3) + 5 = 8
g(3) = -2(3) - 1 = - 7
8 > 7

Average rate of change in the interval [2,5]:

f(x) ⇒ (0 - 9)/(5 - 2) = -3
g(x) ⇒ (-11 + 5)/ (5 - 2) = -2
-3 < -2

Max of function in the interval [-5, 5];

f(x) ⇒ 9, vertex of the function
g(x) ⇒ g(-5) = -2(-5) - 1 = 9, taken the least point of x as it is a decreasing function
9 = 9

4 0

3 years ago

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The area of a rectangular painting is 1/6 square yard. The width is 2/3 yard. What is the length of the painting use the formula

STatiana [176]

The length of the painting is 1/4.

According to the statement

we have to find the length of the rectangular painting with the help of the given information.

So, For this purpose, we know that the

The given information is:

The area of a rectangular painting is 1/6 square yard. The width is 2/3 yard.

And we have to use the formula

Area = Length * Breadth

So, Substitute the values in it then solve

So,

Area = Length * Breadth

1/6= Length * 2/3

1/6 = 2L/3

1 = 12L/3

1 = 4L

L = 1/4.

The value of the length is 1/4.

So, The length of the painting is 1/4.

Learn more about area of a rectangle here

brainly.com/question/2607596

#SPJ9

4 0

1 year ago