The teacher collected some snowfall data during one of the snow days last year. Estimate the total snowfall throughout the day.

The function that best defines this arithmetic sequence is:

The recursive function that defines the sequence is:

[tex]f(n) = f(n - 1) + d[/tex]

[tex]f(1) = f_0[/tex]

In this problem, the sequence is: {9, 5, 1, -3}

Hence, the function is:

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To identify the functions which best define the given sequence, we have to identify the number pattern.

The correct option is (a).

Given:

The given sequence is as follows,

[tex]9,5,1,-3[/tex]

The arithmetic sequence define as the difference between two consecutive number would be same.

If we subtract 4 form each digit we will get next digit.

[tex]9-4=5\\5-4=1\\1-4=-3[/tex]

So the function would be,

[tex]f(1) = 9, f(n + 1) = f(n) -4; \rm for \:n\geq 1[/tex]

The option (b) and (d) show the increasing function whereas we have decreasing sequence.

Thus, the correct option is (a).

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Answer:

Step-by-step explanation:

Reflection across the line y=x swaps the x and y coordinates:

  (x, y) ⇒ (y, x)

The image points are ...

  A(6, -2) ⇒ A'(-2, 6)

  B( 6, 3) ⇒ B'(3, 6)

  C(-2, -6) ⇒ C'(-6, -2)

Answer:

160

Step-by-step explanation:

4th square number: 16

12th square number: 144

16 + 144 = 160

Answer:

[tex]x\gtrapprox1.1[/tex]

Step-by-step explanation:

[tex]7e^{2x}-5>58[/tex]

[tex]7e^{2x}>63[/tex]

[tex]e^{2x}>9[/tex]

[tex]2x>ln(9)[/tex]

[tex]x>\frac{ln(9)}{2}[/tex]

[tex]x\gtrapprox1.1[/tex]

Answer:

C.) AFD measures 30°

Step-by-step explanation:

it is 150 degrees

Answer:

the answer is C

Step-by-step explanation:

A)  angle EFC is 80 degrees so a is a true statement

B) angle BFC is 60 degrees and angle DFE is 30 degrees 60+30=90 so that's a true statement

D) angle AFB is 40 degrees and angle CFD is 50 degrees  40+50=90 so that a true statement

that leaves C and angle AFD is more than 30 degrees its 150 degrees

Answer:

B and D

Step-by-step explanation:

Answer:

  7

Step-by-step explanation:

There is a point of inflection at each point where the graph crosses the line y=2. There are 7 points of inflection shown.

__

A point of inflection is where the graph changes from being concave downward to concave upward, or vice versa. For a sine function, that is everywhere the function crosses its midline.

Answer:

7 inflection points

Step-by-step explanation:

The given function [tex]f(x)=sinx+2[/tex] has a midline of y=2 where each point of the function that intersects the line is an inflection point. Inflection points are where the concavity changes, defined by when the second derivative is equal to 0 or undefined.

[tex]f(x)=sin(x)+2[/tex]

[tex]f'(x)=cos(x)[/tex]

[tex]f''(x)=-sin(x)[/tex]

[tex]0=-sin(x)[/tex]

[tex]x=\pi n[/tex] for any integer [tex]n[/tex]

From [tex][-10,10][/tex], there are 7 inflection points, which are[tex]x=-3\pi,-2\pi,-\pi,0,\pi,2\pi,3\pi[/tex]

Answer:

2 [tex]\frac{5}{16}[/tex]

Step-by-step explanation:

2 [tex]\frac{5}{16}[/tex] × 4 = 9 3/4

9 3/4 × 1/4 = 2 5/16

I hope this helps!

Answer:

3 1/4 feet

Step-by-step explanation:

1/4 of 9 3/4

change 9 3/4 into an improper fraction → 39/3

1/4 x 39/3 = 39/12

convert back to a mixed number by dividing 12 into 39

which goes in three times with a remainder of 3 → 3 3/12

however, 3/12 can be simplified to equal 1/4

Answer:

26.18 units

Step-by-step explanation:

You could use distance formula three times to calculate the length of each side. Add the three lengths to find the perimeter. However, (see image) if you look at a graph of these points, two of the sides are the hypotenuse of a right triangle that have known, integer values--Pythagorean triples. The sides are 3-4-5 and the other is 6-8-10. We use the Pythagorean theorem to find the third side. See image.

11.18 + 5 + 10

= 26.18 units

The perimeter of triangle is 26.18.

A triangle is 2-dimensional closed curve. which has 3 sides, 3 angles and 3 vertices.

According to the question,

Triangle ABC has coordinates A(-6,2), B(-3,6), C(5,0).

Distance formula: √(x₂-x₁)² + (y₂-y₁)².

Points A and B are (-6,2) and (-3,6)

= √(-3-(-6))² + (6-2)²

= √9+16

= √25

=5.

Thus, point A and B has distance, S₁ = 5.

Points B and C are (-3,6) and (5,0)

Distance formula: √(x₂-x₁)² + (y₂-y₁)²

= √(5-(-3))² + (0-6)²

= √(8)² + (-6)²

= √(64+36)

=√100

=10.

Thus, point B and C has distance, S₂ = 10.

Points C and A are (5,0) and (-6,2)

Distance formula: √(x₂-x₁)² + (y₂-y₁)²

= √(-6-(5))² + (2-0)²

= √((-11)² + (2)²)

=√(121+4)

=√125

=5√5

Thus, point C and A has distance, S₃= 5√5.

Perimeter of triangle = S₁ + S₂+S₃

= 5 + 10 + 5√5

=15+5√5

=15+5(2.23606)

=15+11.1803

=26.1803 ≈ 26.18

Hence, the perimeter of triangle is 26.18.

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Answer:

12

Step-by-step explanation:

Since RS = QS, we know 2x + 8 = 8x - 4

Subtract 2x from each side

8 = 6x - 4

Add 4 to each side

12 = 6x

Divide each side by 6

2 = x

SR is 2x + 8, so it is 2(2) + 8, so RS = 12

The length of the segment SR is 12.

Triangle is a shape made of three sides in a two-dimensional plane. the sum of the three angles is 180 degrees.

Since RS = QS, we know 2x + 8 = 8x - 4

Subtract 2x from each side

8 = 6x - 4

Add 4 to each side

12 = 6x

Divide each side by 6

2 = x

SR is 2x + 8, so it is 2(2) + 8, SR = 12

Hence, the segment SR is 12.

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Answer:

8

Step-by-step explanation:

Divide 192 by 24 and you'll get 8 classes per grade as the answer

Answer:

8 classes

Step-by-step explanation:

To find the minimum amount of classes, you divide 192 by 24 and you get 8 classes.

Answer:

i think its C

Step-by-step explanation:

Answer:

2s for the first box

6u for the second box

Step-by-step explanation:

when they say like terms, just think about how the letter parts of the expression are the same

like 1/2s and 2s both have the singular variable s

and how 6u and 9u both have the singular variable u

To solve this one you have to find the ones that are connected by variables or look the same

For example.

1x and 2x are like terms because they have the same variable X

4d and 6/2d are like terms because they have the same variable D

4 and 3 are like terms because they have no variables, and they are the same

So now that you understand what like terms are you may so it

1/2 and 2s are like terms because they share the same variable S

6u and 9u are like terms because they share the same variable U

I hope this helped and if it's wrong blame me

Ps. Brainlist would really help

Answer:

40th term = -1187

Answer:

The answer should be [tex]y=mx+b[/tex]

Step-by-step explanation:

[tex]y=mx+b[/tex] is the only thing I can think of when your talking about the equation of the line in intercept form, but I'm 85% sure this is correct.

Hope this helps!

Can you mark me brainliest?

Have a great day/night/afternoon!

- ❤ 7272033Alt ❤

The answer would be 6.

this is the answer: -5 < -12/40 < 19/38

Answer:

C

Step-by-step explanation:

Answer:

y = 1/4x

Step-by-step explanation:

Answer:

,..................... 6000*12*5 %4 =630

Answer:

6240

Step-by-step explanation:

It's it 6,000+4% it's = 6240

Answer:

116−−√

110−−√

14√

18√

Step-by-step explanation:

Answer:

m <E = 134

Step-by-step explanation:

Triangle DEF looks like an isosceles triangle to the base angles are the same measure.

6x+11 = 10x+3

Subtract 11 from both sides

6x = 10x-8

Subtract 10x from both sides

-4x = -8

Divide -4 from both sides

x = 2

Substitute 2 into both equations to make sure it works

6 (2) + 11

12+11

23

10 (2) +3

20+3

23

Both angles equal 23 degrees.

Now subtract both angles from the total angle measure of 180.

180-23-23=134

Answer:

B.

square, triangle, circle, circle

Step-by-step explanation:

Answer:

  C.  square, circle, circle, triangle

Step-by-step explanation:

The repeating patterns are 4 elements long. Element 20 will be the last element in the 5th repeat of the pattern. That is, the triangle must be the last element of the pattern.

The rule in choice C has the triangle last.

Answer:

what number?

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(7-(-2))/(-6-(-7))

m=(7+2)/(-6+7)

m=9/1

m=9

Step-by-step explanation:

hope this help you ......

Answer:

[tex]3x^3 - 5x + 1 - \frac{10}{x + 3}[/tex]

or

3x^3 - 5x + 1

Remainder: -10

Step-by-step explanation:

Please see attached image for full explanation!

1.) Write the coefficient of each term.

2.) Beginning with 3, multiply by -3, or x + 3 = 0 (the divisor.)

3.) Add the product to the next coefficient and repeat until you get to the last number, -7.

4.) You should have the numbers 3, 0, -5, 1, and -10.

5.) Rewrite this quotient as an equation:

3x^3 - 5x + 1

Note that the highest power is 3, one less than that of the highest power in the original equation.

6.) Don't forget the remainder!

You can include this in the equation or not, depending on the instructions.

Therefore, the final answer is 3x^3 - 5x + 1 - 10/x+3 or 3x^3 - 5x + 1 R: -10.

Step-by-step explanation:

5/9 × (x - 32) = 1.8 × x + 32 = 9/5 × x + 32

5×(x - 32) = 9×9/5 × x + 32×9

5×5×(x - 32) = 9×9×x + 32×9×5

25x - 32×25 = 81x + 32×45

32×(-25 - 45) = 56x

4×(-70) = 7x

x = 4×(-10) = -40

-40° is the same temperature in Celsius and in Fahrenheit.