What is the sum of this sequence

1 + 2 + 3 + 4 + ... + 1002

Answer:

8 hundred 29 thousand

Step-by-step explanation:

No explanation for this question.

8.29dbyevsvegehehshhs

Answer:

y=4/7x

Step-by-step explanation:

Graph the point (4,7) and (0,0) because x is pint and y is servings

The equation is y=4/7 x because the slope is 4/7 and it starts at the origin.

Answer:

Susana will have 107 students.

Step-by-step explanation:

Becca have students = 115

We can write its as:

Becca has 115 students, so Susana will have 115-8 = 107 students

Because fewer means less than so, 8 less than 115 is 115-8

We can write it as:

Susana has 107 students, so Erika will have: 107+25 = 132 students.

because more means we need to add 25 students with number of students in Susana class.

So, Susana will have 107 students.

Answer:

$7.20

Step-by-step explanation:

60% of 4.5 = 2.7

4.5+2.7 = $7.2

Answer:

7.2

Step-by-step explanation:

So u do 60% of 4.5 and add ur answer to 4.5

Answer:

33

Step-by-step explanation:

3(3) + 2 (2(3)+6)

=9 + 2 (12)

=9 + 24

=33

Answer: 4/10 , 6/15, 8/20,

Step-by-step explanation:

Answer:  Equivalent fractions of 2/5 : 4/10 , 6/15 , 8/20 , 10/ Equivalent fractions of 3/5 : 6/10 , 9/15 , 12/20 , 15/

Step-by-step explanation:

Answer:  13

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

In this expression, the first term is 2x, then 4y, then 8-2 (which simplifies to 6).

so since you're only doing 10% of 30, you get 3

add 3 to 30 and you get 33

______________________________

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Given:

Selling price of a fan = Rs.4700

Loss percent = 6%

To find:

The price at which he must sell it to gain 6 percentage.

Solution:

Let x be the cost price of the fan.

Loss percent = 6%

Selling price = Cost price - 6% of cost price

[tex]S.P.=x-\dfrac{6}{100}x[/tex]

[tex]S.P.=x-0.06x[/tex]

[tex]S.P.=0.94x[/tex]

Selling price of a fan = Rs.4700

[tex]4700=0.94x[/tex]

[tex]\dfrac{4700}{0.94}=x[/tex]

[tex]5000=x[/tex]

So, the cost price of the fan is Rs.5000.

Now, he need to sell this fan in 6% gain.

Selling price = Cost price + 6% of cost price

[tex]S.P.=5000+\dfrac{6}{100}\times 5000[/tex]

[tex]S.P.=5000+300[/tex]

[tex]S.P.=5300[/tex]

Therefore, he must sell it for Rs.5300 to gain 6 percentage.

Answer:

35+4x+5+6x=180

10x=180-40

x=140/10

x=14

Answer:

 8 pages per minute

Step-step explanation:

24 / 3

Answer:

B

Hope it helps uwu

Answer:

because this is a positive root function, domain is positive so

0<=x<infinity

Step-by-step explanation:

Answer:

See explanation below

Step-by-step explanation:

Explain what is the difference between the solutions to 2x=10 and 2x > 10

Given the equations;

2x  = 10

x = 10/2

x = 5

For the equation 2x > 10

x > 10/2

x > 5

The first equation has only one solution which is 5 while the second equation has infinite number of solutions since the values of x can take any value that is greater than 5

Here the positive intercept should be considered as the -1 and 5.

Since X-Intercept shows the landing point i.e. bottom of the cliff since all x intercepts contains a y value of 0.

In this case it would be 0 feet.

So,

[tex]h(x)= -16x^2-16x+80x+80[/tex]

h(x)= -x(16x-16) +5(16x+16)

h(x)= (-x+5)(16x+16)

x intercepts = -1 and 5

Learn more about intercept here: https://brainly.com/question/15546484

Answer:

Step-by-step explanation:

How many books are there?

6+5+4+3 = 18 books total

How many are adventure books?

3

3 out of 18 books are adventure books

Robero has a 3/18 probability of choosing an adventure book.

Your teacher might want that probability in the lowest possible form. That is because it is the easiest to use and to understand.

You can do this by dividing both numbers by the "numerator" which is the first number in the fraction, (the adventure book count).

3/3 = 1

18/3 = 6

So the fraction can be reduced to 1/6.

Robero has a 1/6 chance of choosing an adventure book.

Answer:

27

Step-by-step explanation:

3/10 / 30% / .3

3        x

10        90            -use criss cross method so 3 and 90 and x times 10

270 =10x

27=x

you can also go on a calculator and type 90 times 0.3 and get the answer too

Answer:

x = 79.799

Step-by-step explanation:

Apply trigonometric ratio formula to find x.

Thus, find the adjacent side of each triangle using 40° and 65° as reference angles respectively.

✔️Adjacent length of the triangle with reference angle 40°:

tan (40) = 110/adj

adj*tan(40) = 110

Adjacent length = 110/tan(40)

Adjacent length = 131.093 (nearest thousandth)

✔️Adjacent length of the triangle with reference angle 65°:

tan (65) = 110/adj

adj*tan(65) = 110

Adjacent length = 110/tan(65)

Adjacent length = 51.294 (nearest thousandth)

✔️Find x:

x = 131.093 - 51.294

x = 79.799

Answer:

36.667

Step-by-step explanation:

thirty six point six hundred sixty seven

Answer:

y=200+3x

Step-by-step explanation:

I hope that this helps you

Answer:

1)k=1.50408

2)=64

3)P(t)=64e^(1.50408t)

4)=118098

5)t=6.42 hrs

Step-by-step explanation:

CHECK THE COMPLETE QUESTION BELOW

A bacteria culture grows with constant relative growth rate. The bacteria count was 1296 after 2 hours and 531441 after 6 hours. Answer the following questions.

1. What is the relative growth rate?

2. What was the initial size of the culture?

3. Find an expression for the number of bacteria after t hours.

4. Find the number of cells after 5 hours.

5. When will the population reach 1000000?

To find relative growth rate, expression below can be used

P(t)= Po*e^(kt)

Where k= growth rate

Po= initial amount

t= time in hours

We were given The bacteria count as 1296 after 2 hours and 531441 after 6 hours. This can be expressed below as

P(2)= P(o)e^(2k)= 1296.........eqn(1)

P(6)= P(o)e^(6k)= 531441........eqn(2)

If we find the ratio of the two eqn we have

531441/1296 =[P(o)e^(6k)]/[P(o)e^(2k)]

410.0625= e^(4k)

If we take Ln of both side

ln 410.0625=ln(e^4k)

k=1.50408

1)= k=1.50408

2)

From P(2)= Po*e^(2k)= 1296

1296=Po × e^(2×1.50408)

1296= Po × e^(3.00816)

Po=1296/e^(3.00816)

=64

3) the expression is P(t)=64e^(1.50408t)

4). P(5)=64e^(1.50408×5)

=118098

5) P(t)= 1,000,000

1000000=64e^(1.50408t)

1000000/64 = 64e^(1.50408t)

Ln(15625)=ln[e^(1.50408t)]

9.657=e^(1.50408t)

t=6.42 hrs

Answer:

i would think that there would be at least 100 m&m in the bag

Step-by-step explanation:

i might be wrong a hven't had m&m in about 10 years

Answer:

Test statistic Z = 1.8099

Step-by-step explanation:

Step(i):-

Given that mean of the Population (μ) = 59.1 miles/gallon

Mean of the sample (x⁻ ) = 59.5

The standard deviation of the Population = 2.89

mean of the sample (n) = 160

Step(ii):-

Test statistic

              [tex]Z = \frac{x^{-}-mean }{\frac{S.D}{\sqrt{n} } }[/tex]

              [tex]Z = \frac{59.5-59.1 }{\frac{2.89}{\sqrt{160} } }[/tex]

              Z = 1.8099

Test statistic = 1.8099

Answer:

A. 4×0= 0

Step-by-step explanation:

since it shows that any number you multiply by 0 still gives you 0

Answer:

The answer is x = 20

Step-by-step explanation:

If you set both equations equal to each other and solve for x, you will get 20.

3x+32 = 5x-8        add 8 to both sides

3x+40 = 5x           subtract 3x from both sides

40 = 2x                 divide by 2 on both sides

20 = x

Answer:

1) 25, 2) 6

Step-by-step explanation: