MATHEMATICS HIGH SCHOOL

What is 7(9n − 3) − 7n
In order please
simply

Answers

Answer 1

Answer:

Answer:

n= 3/8

Step-by-step explanation:

63n -21 -7n

63n - 7n = 21

56n = 21

n= 3/8 or 0.375

Answer 2

Answer:

Answer: 56n-21

Step-by-step explanation:

7(9n-3)-7n Multiply parenthesis

63n-21-7n

SUBTRACT 63n-7n- 56n

Answer is: 56n-21

We leave 21 alone because it is a constant. We leave 56n alone because there is no like term with the variable n.

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Paulo uses an instrument called a densitometer to check that he has the correct ink colour.For this print job the acceptable range for the reading on the densitometer is 1.8 ± 10%. What is the acceptable range for the densitometer reading? exactly 1.8 from 0 to 3.6 from 1.0 to 2.6 from 1.62 to 1.98 from 1.8 to 1.98

An arch is 630 ft high and has 580=ft base. It can be modeled by the parabola =630\left [ 1-\left ( x/290 \right )^2 \right ]. Find the average height of the arch above the ground.The average height of the arch is __??? ft above the ground.

Answers

Answer:

420 ft

Step-by-step explanation:

The given equation of a parabola is

$y=630[1-\left((x)/(290)\right)^(2)]$

An arch is 630 ft high and has 580=ft base.

Find zeroes of the given function.

$y=0$

$630[1-\left((x)/(290)\right)^(2)]=0$

$1-\left((x)/(290)\right)^(2)=0$

$\left((x)/(290)\right)^(2)=1$

$(x)/(290)=\pm 1$

$x=\pm 290$

It means function is above the ground from -290 to 290.

Formula for the average height:

$\text{Average height}=(1)/(b-a)\int\limits^b_a f(x) dx$

where, a is lower limit and b is upper limit.

For the given problem a=-290 and b=290.

The average height of the arch is

$\text{Average height}=(1)/(290-(-290))\int\limits^(290)_(-290) 630[1-\left((x)/(290)\right)^(2)]dx$

$\text{Average height}=(630)/(580)[\int\limits^(290)_(-290) 1dx -\int\limits^(290)_(-290) \left((x)/(290)\right)^(2)dx]$

$\text{Average height}=(63)/(58)[[x]^(290)_(-290)-(1)/(84100)\left[(x^3)/(3)\right]^(290)_(-290)]$

Substitute the limits.

$\text{Average height}=(63)/(58)\left(580-(580)/(3)\right)$

$\text{Average height}=(63)/(58)((1160)/(3))$

$\text{Average height}=420$

Therefore, the average height of the arch is 420 ft above the ground.

A class of 24 students is planning a field trip to a science museum. A nonrefundable deposit of $50 is required for the day-long program, plus a charge of $4.50 per student.Determine a linear function that models the cost, c, and the number of students, s.

Which statements about the linear function and its graph are correct? Check all that apply.

Answers

Answer:

A,C, and D

Step-by-step explanation:

Did it on Edgenuity

Answer:

A, C, D

Step-by-step explanation:

Can I get someone to help me on this please

Answers

i think its the second graph

hope i helped

What is the answer to this?

Answers

Answer:

The third one

Step-by-step explanation:

a lot of triangled have a long base and equal smaller sides

thats a weird question though

What's between 0.499 and 0.501

Answers

Answer: 0.500

You can find the answer when you use a number line.

Your answer would be 0.500

Katie wants to collect over 100 seashells. She already has 34 seashells in her collection. Each day, she finds 12 more seashells on beach. Katie can use fractions of days to find seashells. Write an inequality to determine the number of days, dd, it will take Katie to collect over 100 seashells

Answers

Answer:

$12d+34>100$

Step-by-step explanation:

Let d be the number of days.

We have been that each day Katie finds 12 more seashells on beach, so after collecting shells for d days Katie will have 12d shells.

We are also told that Katie already has 34 seashells in her collection, so total number of shells in Katie collection after d days will be: $12d+34$

As Katie wants to collect over 100 seashells, so the total number of shells collected in d days will be greater than 100. We can represent this information in an inequality as:

$12d+34>100$

Therefore, the inequality $12d+34>100$ can be used to find the number of days, d, it will take Katie to collect over 100 seashells.

Final answer:

In order to find out when Katie will have over 100 seashells, we use the equation 34 + 12d > 100. After simplifying, the inequality is d > 5.5. So, it will take Katie over 5.5 days to collect over 100 shells.

Explanation:

The question states that Katie already has 34 seashells and finds 12 more each day. This can be represented by the equation 34 + 12d, where d represents the number of days. In order to find out when Katie will have more than 100 seashells, we need to set this equation greater than 100 and solve for d.

So, 34 + 12d > 100. If we subtract 34 from both sides, we get 12d > 66. Then, divide both sides by 12 to solve for d. d > 66/12. The value of d in this case turns out to be approximately 5.5.

This means it will take Katie slightly over 5.5 days to collect over 100 seashells, given that she can use fractions of days to find seashells.