Use the data in the table to complete the statements.
Let x be the number of years since 1990. The year
2005 corresponds to an x-value of
The function that best models the data, with numerical
values rounded to the nearest hundredth, is f(x) =
x + 22.08.
Models have their limitations. For which year would this
model not make sense to use?

The interval over which the function f(x) is negative is (-infinity, -4) .

Given,

The values of f(x) for corresponding x .

Here,

From the table,

x = -8 ; f(x) = -16

x = -6 ; f(x) = -8

Thus from the data given in the table it is clear that the function f(x) will be negative if we decrease the value of x .

Thus f(x) will be negative for the values which are smaller than -8 .

Now,

When

x = -4 ; f(x) = 0

x = -2 ; f(x) = 8

Thus f(x) changes its sign at x = -4.

So,

Interval in which f(x)  will be negative : (-infinity, -4) .

Know more about functions,

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Answer:

Volume is 3.05m³

Step-by-step explanation:

This problem bothers on the mensuration of solid shapes, sphere

Step one

The formula for the volume of a sphere is expressed as

V=4/3πr³

Step two

Given data

Diameter d = 1.8m

Radius r = d/2= 1.8/2= 0.9m

Step three

Substituting our given data we have

V= 4/3*3.142*0.9³

V= 4/3*3.142*0.729

V= 9.162/3

V=3.05m³

Answer:

48

Step-by-step explanation:

Split it into 2 right triangles flip one around and you have a rectangle who's area is equal to 10x6.

a=6

c=2

b=?

Solve for b:

Kind of need a picture to help answer the question.

Answer:

4.4 ft

Step-by-step explanation:

The sides of a right triangle are "tied together" mathematically by an equation called the Pythagorean theorem, which says: in any right triangle, the relationship between the two sides that make the right angle (we'll call them a and b) and the side across from it (c) is

[tex]a^2+b^2=c^2[/tex]

Let's sustitute these for the values we have in our problem (measured in feet)

[tex]9^2+a^2=10^2\\81+a^2=100\\a^2=19\\a=\sqrt{19}[/tex]

19 is between the perfect squares [tex]4^2=16[/tex] and [tex]5^2=25[/tex], so [tex]\sqrt{19}[/tex] must be between 4 and 5, a little bit closer to 4. Punching the expression into the calculator confirms this with a value of [tex]\sqrt{19}\approx4.3588[/tex] which we can round to 4.4 ft.

Answer:

Yes

Step-by-step explanation:

1/2 fruit cocktail—>57

broiled sirloin—>240

baked potato—>145

442 is the total so yes

Answer:

D. y = -2x + 20

Step-by-step explanation:

first, plot these points on a linear graph.

work down from the top:

A. y = 2x + 5

look at the last number first, this means the line will cross over the y axis (vertical line) at + 5. draw a point on + 5

y = 2x + 5

From this point (+5), the 2x means that for every 1 square you move across (to the right), you will go up 2. This will make the second point of the line. connect the dots. (see picture 1 below)

B. y = 2x - 6

the last number means the first point will be on -6 on the y axis.

y = 2x - 6

the 2x means that every 1 square you go across (to the right) from that point, you will move up 2

C. y = 2x

as there is no second number, this line will cross through the center of the graph. the 2 means that for every 1 square you move across from that point, you will move up 2

D. y = -2x + 20

the +20 means this line will cross the y axis and + 20, the -2 means that for every 1 square you move across to the right, you move DOWN 2.

this is the only line that moves down from left to right

Answer:

yes? idk

Step-by-step explanation:

Answer:

4.5 cm

Step-by-step explanation:

The circumference of a circle is given by

C = 2*pi*r where r is the radius

28.3 = 2 * (3.14) *r

28.3 = 6.28 r

Divide each side by 6.28

28.3/6.28 = r

4.506369427=r

The approximate length of the radius is 4.5 cm

Answer:

B

Step-by-step explanation:

Angle P and Angle Q are co- interior angles so they add up to 180 degrees

If angle P is 116, then:

116+ x= 180

(x= Angle Q)

x=180-116

x=64

Answer:

Step-by-step explanation:

reference angle=(14 π)/11-π=(14-11)π/11=3π/11

Answer:

Y=8

Step-by-step explanation:

A horizontal line is going to be parallel to the x-axis, so you need to use your y-value to determine the equation of the line. Your y-value in the coordinate (-3,8) is 8, so y=8

Answer: y = 8

Step-by-step explanation: Whenever we are given a line and the problem says that it's horizontal or a flat line, we know that the equation of the line will always be in the form "y = a number".

Since we are given that the y-coordinate is 8, that means that

the equation of this line will be y = 8.

Hey there! I'm happy to help you! :)

We see that there are 160 songs in total. Let's split them up into groups of rock, country, and pop.

ROCK

Our problem says that 3/8 of the songs are rock songs. We know that we have 160 songs. We just need to multiply 3/8 by 160 and we will have the number of rock songs.

3/8*160=60

Therefore, we have 60 rock songs.

COUNTRY

We see that 25% of our songs are country songs. 25% is the same thing as 1/4, or 0.25. We can multiply this by our total number of songs to see how many are country.

0.25(160)= 40

We have 40 country songs.

POP

All we have in the problem is that the remaining songs are pop. The nice thing is is that we already know how many rock and country songs we have, so we can simply subtract those from 160 and we will then be able to tell how many pop songs there are.

160-60-40= 60

Therefore, there are 60 pop songs.

I hope that this helps you! Have a wonderful day!

Integers*?

Let [tex]n[/tex] be the smallest of these five consecutive integers. Then the sum of the five consecutive integers is [tex]\frac{5(2n+4)}{2}=5n+10,[/tex] so we seek the largest positive integer [tex]n[/tex] such that [tex]5n+10<2020.[/tex] Solving this inequality, we find that [tex]n<402,[/tex] so there are [tex]\boxed{401}[/tex] such positive integers.

All in the attachment :)

and don't complain about my drawing skills ;)

Answer:

1. 135 2. 16.875

Step-by-step explanation:

1. 5 x 4.5 x 6 = 135

2. 2.5 x 2.25 x 3 = 16.875

Answer:

w=v/lh

Step-by-step explanation:

lwh=v

To isolate w, we'd have to divide both sides by (lh)

Therefore, w = v/lh

Hope this helped and have a good rest of your day!

Answer:

The product of 21 and 18

Step-by-step explanation:

When you multiply the word is product

The product of 21 and 18

Answer:

the answer is H

Step-by-step explanation:

Step-by-step explanation:

Total marbles = 12 + 30 + 20 + 10 + 8 = 80

Probability = 12 + 30 + 8 = 50

= 50 / 80 = 5 / 8

Answer:

C 12

Step-by-step explanation:

16 × 6 ÷ 8 = 12

check answer: 24 × 12 ÷ 16 = 18

Answer:

w+5=7

Step-by-step explanation:

Answer:

y = - 8x² + 6

Step-by-step explanation:

The equation of a parabola in vertex form is

y = a(x - h)² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

Here (h, k) = (0, 6), thus

y = a(x - 0)² + 6, that is

y = ax² + 6

To find a substitute (- 1, - 2) into the equation

- 2 = a(- 1)² + 6, that is

- 2 = a + 6 ( subtract 6 from both sides )

- 8 = a

y = - 8x² + 6

The formula of the quadratic function is [tex]y = -8x^2 + 6[/tex]

A quadratic function is represented as:

[tex]y = a(x - h)^2 + k[/tex]

The vertex of the quadratic function is given as:

[tex](h,k) = (0,6)[/tex]

So, we have:

[tex]y = a(x - 0)^2 + 6[/tex]

This gives:

[tex]y = ax^2 + 6[/tex]

The quadratic function passes through (-1,-2).

So, we have:

[tex]-2 = a(-1)^2 + 6[/tex]

[tex]-2 = a + 6[/tex]

Subtract 6 from both sides

[tex]a = -8[/tex]

Substitute -8 for a in [tex]y = ax^2 + 6[/tex]

[tex]y = -8x^2 + 6[/tex]

Hence, the formula of the quadratic function is [tex]y = -8x^2 + 6[/tex]

Read more about quadratic functions at:

https://brainly.com/question/11631534

Answer:

1. False

2. True

Step-by-step explanation:

Answer:  An infinite number

We're given angles adding to 180 degrees, so we can generate as many similar triangles with these angles as we like.  They'll all have the same shape but different sizes.

Answer:

1

Step-by-step explanation:

Answer:6

Step-by-step explanation:

I got it corrected on the assignment

Answer:

it is 6

Step-by-step explanation:

the person above me is right :) have a nice day

(◍•ᴗ•◍)✧*。

Answer:

a.) 4/6

Step-by-step explanation:

3/5 = .6

4/6 = .666666666667

6/12= 0.5

3/8= .375

4/10= .4

Answer: 4/6

Step-by-step explanation:

IT IS THE BIGGEST. :)

Answer: B

Step-by-step explanation:

Answer:

None of those are right, the answer is about 602.32 m2

Step-by-step explanation: