1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Lostsunrise [7]
2 years ago
15

This is due tomorrow, help!​

Mathematics
1 answer:
skelet666 [1.2K]2 years ago
4 0

Deena said that she received a 25 dollar discount but the equation says 9x + 25 = 28.

The Rewrite would be: 9x - 25 = 28.

How to make the situation fit the equation?:  "I bought some shirts at the store for $9 each and received a $25 add on. My total bill was $88. How many shirts did I buy?"

You might be interested in
How do you write 6x=7y in standard form
Anastasy [175]
Standard form is ax+by=c
mnus 7y both sides
6x-7y=0
5 0
3 years ago
Use the Trapezoidal Rule, the Midpoint Rule, and Simpson's Rule to approximate the given integral with the specified value of n.
Otrada [13]

I guess the "5" is supposed to represent the integral sign?

I=\displaystyle\int_1^4\ln t\,\mathrm dt

With n=10 subintervals, we split up the domain of integration as

[1, 13/10], [13/10, 8/5], [8/5, 19/10], ... , [37/10, 4]

For each rule, it will help to have a sequence that determines the end points of each subinterval. This is easily, since they form arithmetic sequences. Left endpoints are generated according to

\ell_i=1+\dfrac{3(i-1)}{10}

and right endpoints are given by

r_i=1+\dfrac{3i}{10}

where 1\le i\le10.

a. For the trapezoidal rule, we approximate the area under the curve over each subinterval with the area of a trapezoid with "height" equal to the length of each subinterval, \dfrac{4-1}{10}=\dfrac3{10}, and "bases" equal to the values of \ln t at both endpoints of each subinterval. The area of the trapezoid over the i-th subinterval is

\dfrac{\ln\ell_i+\ln r_i}2\dfrac3{10}=\dfrac3{20}\ln(ell_ir_i)

Then the integral is approximately

I\approx\displaystyle\sum_{i=1}^{10}\frac3{20}\ln(\ell_ir_i)\approx\boxed{2.540}

b. For the midpoint rule, we take the rectangle over each subinterval with base length equal to the length of each subinterval and height equal to the value of \ln t at the average of the subinterval's endpoints, \dfrac{\ell_i+r_i}2. The area of the rectangle over the i-th subinterval is then

\ln\left(\dfrac{\ell_i+r_i}2\right)\dfrac3{10}

so the integral is approximately

I\approx\displaystyle\sum_{i=1}^{10}\frac3{10}\ln\left(\dfrac{\ell_i+r_i}2\right)\approx\boxed{2.548}

c. For Simpson's rule, we find a quadratic interpolation of \ln t over each subinterval given by

P(t_i)=\ln\ell_i\dfrac{(t-m_i)(t-r_i)}{(\ell_i-m_i)(\ell_i-r_i)}+\ln m_i\dfrac{(t-\ell_i)(t-r_i)}{(m_i-\ell_i)(m_i-r_i)}+\ln r_i\dfrac{(t-\ell_i)(t-m_i)}{(r_i-\ell_i)(r_i-m_i)}

where m_i is the midpoint of the i-th subinterval,

m_i=\dfrac{\ell_i+r_i}2

Then the integral I is equal to the sum of the integrals of each interpolation over the corresponding i-th subinterval.

I\approx\displaystyle\sum_{i=1}^{10}\int_{\ell_i}^{r_i}P(t_i)\,\mathrm dt

It's easy to show that

\displaystyle\int_{\ell_i}^{r_i}P(t_i)\,\mathrm dt=\frac{r_i-\ell_i}6(\ln\ell_i+4\ln m_i+\ln r_i)

so that the value of the overall integral is approximately

I\approx\displaystyle\sum_{i=1}^{10}\frac{r_i-\ell_i}6(\ln\ell_i+4\ln m_i+\ln r_i)\approx\boxed{2.545}

4 0
3 years ago
PLZ HELP I BEGGG 20 POINTS!!!!!!!
Roman55 [17]

Answer:

i belive its 100

Step-by-step explanation:

5 0
2 years ago
Help pleasee thank you so much in advance
Solnce55 [7]

Answer:

120

Step-by-step explanation:

180 subtract 60 equals 120

6 0
3 years ago
Read 2 more answers
ΔA'B'C' is the image of a reflection of ΔABC across the line x=1. The y-coordinates of the vertices of ΔABC and its image ΔA'B'C
seropon [69]

Answer:

A(y=3) B(y = -2) C(y= 4)

A' (y = 3) B(y= -2) C(y= 4)

Step-by-step explanation:

4 0
2 years ago
Other questions:
  • Emma spent 4 1/2 days planting her garden. Her brother spent 2/9 as much time as Emma did. How many days did her brother spend p
    15·2 answers
  • What is the diameter whose circumference is 6,663.08
    5·1 answer
  • A trapezoid has 63.4 kilometers base and 23.2 kilometers base, as well as 75.3 kilometers height. What is the area?
    11·2 answers
  • Simplify the expression <br><br> -7 - 8y + 1 - 2y = ?
    7·2 answers
  • What's ∣x−2∣=∣4+x∣????
    11·1 answer
  • What percent is 23 of 92?
    6·2 answers
  • Evaluate 5(x + y)2 when x = 3 and y = 9
    7·1 answer
  • Shelia's measured glucose level one hour after a sugary drink varies according to the normal distribution with =116 mg/dl and =1
    11·1 answer
  • Which of the following<br> represents 9!<br> A. 9<br> B. 9*8*7*6*5*4*3*2*1<br> C. 9+8+7+6+5+4+3+2+1
    5·1 answer
  • Will give brainless if answered now
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!