Consider the graph of the of the quadratic function g(x). See below

Answer: 3/1000 as a decimal is 0.003.

Explanation;

3/10 = 0.3

0.3/10 = 0.03

0.03/10 = 0.003

There are 100 numbers in the range 100-199. Find the smallest and largest multiple of 13 in this range. We have

104 = 8•13

195 = 15•13

so there are 15 - 8 + 1 = 8 multiples of 13 between 100 and 199.

Then the sum we want is

[tex]\displaystyle \sum_{k=100}^{199} k - \sum_{\ell=8}^{15}13\ell[/tex]

or equivalently,

(100 + 101 + 102 + … + 199) - 13 (8 + 9 + … + 15)

To compute these sums, recall the following formula:

[tex]\displaystyle \sum_{i=1}^n i = 1 + 2 + 3 + \cdots + n = \frac{n(n+1)}2[/tex]

Then

[tex]\displaystyle \sum_{k=100}^{199} k = \sum_{k=1}^{199} k - \sum_{k=1}^{99} k = \frac{199\cdot200}2 - \frac{99\cdot100}2 = 14,950[/tex]

and

[tex]\displaystyle \sum_{\ell=8}^{15} 13\ell = 13 \left(\sum_{\ell=1}^{15} \ell - \sum_{\ell=1}^7 \ell\right) = 13 \left(\frac{15\cdot16}2 - \frac{7\cdot8}2\right) = 1,196[/tex]

which means the sum we want is 14,950 - 1,196 = 13,754.

Answer:

67 i thing so if it wrong sorry and ill answer  it again ight

Step-by-step explanation:

Mean, mode and median does NOT reveal the variation (spread) of the data.

When analyzing data, the most sort for characteristics is the variation (spread) in the data.

The values of the data in a sample might be more closely near the mean in some data sets whereas in other data sets the values of the data might be spread out from the mean.

Common measure of variation or spread are the standard deviation, range, variance.

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Answer:

0 hours.

Step-by-step explanation:

He finished at the same time than Kenrick finished last week. So, he/she did not delay in mowing the lawn. Hoped this helped.

Answer:

15/164

Step-by-step explanation:

5/8 ÷ 6 5/6 = 5/8 ÷ 41/6

                   = 5/8 x 6/41

                   = 30/328

                   = 15/164

Answer:What would be the interest cost(simple interest) for a $3000 loans with a 8% rate for nine months of a years? [Simple interest= Principal Rate Time. In this case, time is 9/12(for 0.75 of a year).

Step-by-step explanation: The cost to borrow the money, expressed as a percentage of the loan. After you enter the details, the auto loan payment calculator automatically ...A finance charge is the dollar amount that the loan will cost you. Lenders generally charge what is known as simple interest. The formula to calculate ...

9514 1404 393

Answer:

  AED 5200

Step-by-step explanation:

The interest in the first year will be ...

  I = Prt . . . . principal P invested at rate r for t years

  I = 5000×0.04×1 = 200

The account will have AED 5200 in it after a year.

Answer:

105

Step-by-step explanation:

yeah-ya............. right?

Answer:

x=-1/2

Step-by-step explanation:

using almighty formula

x= -b+or-√b²-4ac/2a

x=-1+ or -√-1+4(1)(1/4) divided by 2(1)

x=-1+ or -√-1+1 divided 2

x=-1+0 divided by 2

x=-1/2

Answer:

1234567891011121314151617181920

3rd option: A middle school student it more likely to own a phone than an elementary school student

Answer:

41/140 or approximately 29.29%

Step-by-step explanation:

Divide 41 by 140 to get 0.29285714285, and round it to the nearest hundredths.

Answer:

Step-by-step explanation:

b= buttons

z= zips

b∩z'=41

b'∩z=48

b'∩z'=25

b=?

b= b∩z+b∩z' (law of total probability)

140=b∩z+b∩z'+b'∩z+b'∩z'  (if this is confusing draw a venn diagram)

140=b∩z+41+48+25

b∩z=26

26+41= 67

67/140= .478571429

Answer:

300

Step-by-step explanation:

find what's 35 x 64 its 2240

then you add up 1800 and 120 and 20 n you get 1940

Then you subtract to see what's missing and you get

300

if you don't understand pls tell me

Answer:

1

Step-by-step explanation:

[tex] \frac{6}{12} + \frac{1}{2} \\ = \frac{1}{2} + \frac{1}{2} \\ = \frac{2}{2} \\ = \frac{1}{1} \\ = 1[/tex]

The assumptions required for making inference about a population using sample data include ;

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Answer:

A third is written as ¹/₃

Step-by-step explanation:

The way to understand this is the number on the bottom is the number of pieces being divided into;

So ¹/₃ is 1 whole divided into 3 parts;

So, you need 3 ¹/₃ parts to make a whole

[tex]a \ * \ \frac{b}{c} = \frac{ab}{c} \\\\ 3 \ * \ \frac{1}{3} = \frac{3 \ * \ 1}{3} \\\\ = \frac{3}{3} \\\\ = 1[/tex]

Answer:

[tex]18[/tex]

Step-by-step explanation:

[tex] \frac{28}{14} = 2 \\ \frac{36}{x} = 2 \\ x = \frac{36}{2} \\ = 18[/tex]

Answer:

156m^2

Step-by-step explanation:

label the shapes A and B) triangle=shape b and rectangle=shape a

shape a)10x12=120m^2

shape b)(12x6)/2=36m^2

add the values of shape a and b together to get the area of the shape)120+36=156m^2

Answer:

17

Step-by-step explanation:

Answer:

[tex]\huge\boxed{f(x)=\dfrac{1}{120}x^3-\dfrac{1}{30}x^2-\dfrac{7}{40}x}[/tex]

Step-by-step explanation:

[tex]f(x)=a(x+3)(x-0)(x-7)=ax(x+3)(x-7)\\\\=ax\bigg((x)(x)+(x)(-7)+(3)(x)+(3)(-7)\bigg)\\\\=ax(x^2-7x+3x-21)=ax(x^2-4x-21)\\\\=(ax)(x^2)+(ax)(-4x)+(ax)(-21)\\\\=ax^3-4ax^2-21ax\qquad(*)\\\\f(-8)=-5[/tex]

[tex]\text{substitute}\ x=-8\\\\f(-8)=(a)(-8)^3-(4a)(-8)^2-(21)(-8)a=-512a-(4a)(64)+168a\\\\=-512a-256a+168a=-600a\\\\f(-8)=-5\\\\\text{therefore}\\\\-600a=-5\qquad|\text{divide both sides by (-600)}\\\\a=\dfrac{-5}{-600}\\\\a=\dfrac{1}{120}[/tex]

[tex]\text{Substitute to}\ (*):\\\\f(x)=\dfrac{1}{120}x^3-4\cdot\dfrac{1}{120}x^2-21\cdot\dfrac{1}{120}x=\dfrac{1}{120}x^3-\dfrac{1}{30}x^2-\dfrac{7}{40}x[/tex]

Answer:

3.3 or [tex]\frac{56}{17}[/tex]

Step-by-step explanation:

v/7 = 8/17                    

Cross multiply ... v times 17 & 7 times 8

17v = 56

Divide both sides by 17

v = 56/17

Keep your answer as a fraction OR

Convert to a decimal : 3.3

Answer:

x – 4y = 20

Step-by-step explanation:

Put the line above in Slope Intercept Form

You can do that by solving for y

y = (1/4)x - 5

The slope, m above is 1/4

The perpendicular will a negative inverse slope m = -4

In Slope Intercept Form your perpendicular line starts below

y = -4x + b

Use the coordinates of the given point on the line (2, -5) to insert and solve for b

-5 = -4(2) + b

-5 = - 8 + b

Add 8 to both sides of the equation

-5 + 8 = b

3 = b

Finally your perpendicular line

y = -4x + 3

I hope this helps

Check my arithmetic

Answer:

×4y=20

Step-by-step explanation:

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Answer:

  ∠AMB = 103°

Step-by-step explanation:

The sum of angles in ∆AMB is ...

  (∠A)/2 +(∠B)/2 + ∠AMB = 180°

  ∠AMB = 180° -(∠A +∠B)/2 = 180° -(58° +96°)/2

  ∠AMB = 103°

Answer:

-8^2=1/64 and -3^3=1/27

Step-by-step explanation:

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