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sergejj [24]
3 years ago
6

-1. The table shows the annual consumption of cheese per person in the United States for selected years in the 20th century. Let

x = number of years since 1900, and y = pounds per person.
Year Pounds Consumed
1912 4.976
1932 8.717
1969 16.997
1979 21.705

What cubic model best fits this data?

-2. The table shows the annual consumption of cheese per person in the U.S. for selected years in the 20th century.

Year Pounds Consumed
1913 4.468
1926 5.56
1955 4.778
1990 10.905

Use a cubic model to estimate milk production in 1989.
a. 20.9
b. 10.5
c. 14.5
d. 6.5

-3. Use synthetic division to find P(-1) for P(x)=x^4+x^3+4x^2-10x+4
a. -1
b. -16
c. 18
d. 8
Mathematics
1 answer:
olga nikolaevna [1]3 years ago
5 0
<span>Using processing software (Excel) or even a decent scientific calculator. You input the values and generate the best fit cubic equation.
For number 1, the equation is
y = 8x10</span>⁻⁵ x³ - 0.0097 x² + 0.374 x + 1.083
where x is the number of years since 1900
y is the pounds cheese consumed

For number 2, the equation is
y = -3x10⁻⁵ x³ + 0.0028 x² + 0.2155 x + 1.7736

For number 3
P(-1) = 18
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Please answer this with explanation. Please I really am struggling. I will mark you brainalist. Please solve it Please
Hatshy [7]

Answer:

13, 11, 4, 16, 6, 22

Step-by-step explanation:

<em>Let the second digit be x and the last digit be y</em>

Given:

  • Data set: 13, x, 4, 16, 6, y
  • Mean = 12
  • y = 2x or x = 2y

The mean of the data is the average. The average can be calculated by determining the sum of the terms and dividing it by the total digits.

\implies \text{Mean of data:} \ \dfrac{13 + x + 4 + 16 + 6 + y}{6} = 12

Let us substitute the value of y (2x) in the data.

\implies \dfrac{13 + x + 4 + 16 + 6 + 2x}{6} = 12

Now, add all the terms in the data and simplify.

\implies \dfrac{39 + x +2x}{6} = 12

\implies \dfrac{39 + 3x}{6} = 12

Distribute the denominators and simplify.

\implies \dfrac{39}{6} + \dfrac{3x}{6}  = 12

\implies  \dfrac{13}{2} + \dfrac{x}{2}  = 12

\implies  6.5 + \dfrac{x}{2}  = 12

Subtract 6.5 both sides and simplify.

\implies  6.5 + \dfrac{x}{2}  - 6.5 = 12 - 6.5

\implies \dfrac{x}{2} = 5.5

Use cross multiplication and simplify.

\implies x= 5.5 \times 2

\implies  x= 11

To determine the value of "y", simply substitute the value of "x" into the expression that represents the value of "y".

\implies y = 2x

\implies y = 2(11)

\implies y = 22

When the x and y values are substituted in the data, we get;

  • ⇒ 13, 11, 4, 16, 6, 22

Therefore, the data is 13, 11, 4, 16, 6, 22.

8 0
2 years ago
Explain how to write the explicit rule for the arithmetic sequence from the given information
Alexxx [7]
The rule is to put them in order
6 0
3 years ago
Measure of Angle 1 is 5x.<br> Measure of Angle 3 is x-24.<br><br> What is the measure of Angle 1?
olga55 [171]

Answer:

The answer to your question is:  30°

Step-by-step explanation:

Data

m∠ 1 = 5x

m∠ 3 = x - 24

Process

m ∠ 1 = m ∠ 3 because they are vertical angles

            5x = x - 24

            5x - x = 24

            4x = 24

            x = 24 / 4

            x = 6

Angle 1 = 5(6)

            = 30°

4 0
3 years ago
If a randomizer picks seven letters from the alphabet (with repeats allowed), how many possible outcomes are there?
Virty [35]

Answer:

7×26=182

Step-by-step explanation:

I'm pretty sure that's the right answer but I just multiplied 26 by 7. Hope that helped!

7 0
3 years ago
Caitlin is thinking of a number that is greater than -53/4 and less than -5 1/2 . Which number could be Caitlin's number?
Jlenok [28]
I assume you mean -5 and 3/4 instead of -53/4. In that case, it cannot be A, as -5.8 is less than -5.75 (AKA -5 3/4). It cannot be C or D either, though, as the number has to be less than -5.5, and -5.4 or -5.3 are both more than -5.5. Thus, by process of elimination, it has to be B, - 5.7. Hope I helped! Good luck in future!
3 0
3 years ago
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