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
SSSSS [86.1K]
3 years ago
15

Amy says that the 9 in the number 900.876 is 1/1,000 the size of the 9 in 6.91. Is she correct? How do you know?

Mathematics
2 answers:
Oksi-84 [34.3K]3 years ago
8 0

Answer:

No

Step-by-step explanation:

The 9 in 900.876 is 900 and the 9 in 6.91 is .9 and if you look at the place value, you'll see that 900 is larger than .9

Phoenix [80]3 years ago
4 0

Answer: The 9 in 900.876 is 900 and the 9 in 6.91 is .9 and if you look at the place value, you'll see that 900 is larger than 9. so no

You might be interested in
Which equation describes the line that passes through the points (-4, 19) and (2, -1)
dangina [55]

Answer:

y=-5/2x+4

Step-by-step explanation:

find the slope by using y2-y1/x2-x1

-1-19/2-(-4)

simplify

-20/8

simplify

-5/2

use slope-intercept form, y=mx+b

since we know the slope, find b

plug in one of the ordered pairs into the equation

-1=(-5/2)(2)+b

simplify

-1= -10/2+b

simplify

-1=-5+b

add 5 to both sides

b=4

plug b into y=-5/2x+b

y=-5/2x+4

8 0
3 years ago
Read 2 more answers
Use the Trapezoidal Rule, the Midpoint Rule, and Simpson's Rule to approximate the given integral with the specified value of n.
Vera_Pavlovna [14]

Split up the integration interval into 4 subintervals:

\left[0,\dfrac\pi8\right],\left[\dfrac\pi8,\dfrac\pi4\right],\left[\dfrac\pi4,\dfrac{3\pi}8\right],\left[\dfrac{3\pi}8,\dfrac\pi2\right]

The left and right endpoints of the i-th subinterval, respectively, are

\ell_i=\dfrac{i-1}4\left(\dfrac\pi2-0\right)=\dfrac{(i-1)\pi}8

r_i=\dfrac i4\left(\dfrac\pi2-0\right)=\dfrac{i\pi}8

for 1\le i\le4, and the respective midpoints are

m_i=\dfrac{\ell_i+r_i}2=\dfrac{(2i-1)\pi}8

  • Trapezoidal rule

We approximate the (signed) area under the curve over each subinterval by

T_i=\dfrac{f(\ell_i)+f(r_i)}2(\ell_i-r_i)

so that

\displaystyle\int_0^{\pi/2}\frac3{1+\cos x}\,\mathrm dx\approx\sum_{i=1}^4T_i\approx\boxed{3.038078}

  • Midpoint rule

We approximate the area for each subinterval by

M_i=f(m_i)(\ell_i-r_i)

so that

\displaystyle\int_0^{\pi/2}\frac3{1+\cos x}\,\mathrm dx\approx\sum_{i=1}^4M_i\approx\boxed{2.981137}

  • Simpson's rule

We first interpolate the integrand over each subinterval by a quadratic polynomial p_i(x), where

p_i(x)=f(\ell_i)\dfrac{(x-m_i)(x-r_i)}{(\ell_i-m_i)(\ell_i-r_i)}+f(m)\dfrac{(x-\ell_i)(x-r_i)}{(m_i-\ell_i)(m_i-r_i)}+f(r_i)\dfrac{(x-\ell_i)(x-m_i)}{(r_i-\ell_i)(r_i-m_i)}

so that

\displaystyle\int_0^{\pi/2}\frac3{1+\cos x}\,\mathrm dx\approx\sum_{i=1}^4\int_{\ell_i}^{r_i}p_i(x)\,\mathrm dx

It so happens that the integral of p_i(x) reduces nicely to the form you're probably more familiar with,

S_i=\displaystyle\int_{\ell_i}^{r_i}p_i(x)\,\mathrm dx=\frac{r_i-\ell_i}6(f(\ell_i)+4f(m_i)+f(r_i))

Then the integral is approximately

\displaystyle\int_0^{\pi/2}\frac3{1+\cos x}\,\mathrm dx\approx\sum_{i=1}^4S_i\approx\boxed{3.000117}

Compare these to the actual value of the integral, 3. I've included plots of the approximations below.

3 0
3 years ago
Devin ran 6 over 10 miles on Thursday.He ran 1.5 miles on Saturday. How many total miles didi he run
Diano4ka-milaya [45]

Answer:

17.5 miles

Step-by-step explanation:

6+10+1.5= 17.5

8 0
3 years ago
What is 2 times 3 plus 57 - 100
kirill [66]

Answer:

-37

Step-by-step explanation:

2 x 3 + 57 -100

we do something called pemdas

We start with multiplying first

2 x 3 = 6

Then we do addition

6+57 = 63

then we subtract

63- 100 = -37

7 0
3 years ago
Read 2 more answers
I need help with this Factoring Quadratics question.Can someone help me?
antoniya [11.8K]

If you mean "factor over the rational numbers", then this cannot be factored.

Here's why:

The given expression is in the form ax^2+bx+c. We have

a = 3

b = 19

c = 15

Computing the discriminant gives us

d = b^2 - 4ac

d = 19^2 - 4*3*15

d = 181

Note how this discriminant d value is not a perfect square

This directly leads to the original expression not factorable

We can say that the quadratic is prime

If you were to use the quadratic formula, then you should find that the equation 3x^2+19x+15 = 0 leads to two different roots such that each root is not a rational number. This is another path to show that the original quadratic cannot be factored over the rational numbers.

7 0
3 years ago
Other questions:
  • 35 is what percentage of 60
    11·1 answer
  • Alexa has bag of 24 marbles. Ten are red, 8 are blue, and 6 are yellow. What is the probability of choosing two red marbles?
    6·1 answer
  • How many hours is 529 miles
    11·1 answer
  • Andrea baked h muffins.Violet baked 8 fewer muffins than Andrea.Find the average number of muffins baked by both girls,in terms
    15·1 answer
  • Garry is cooking for his friends he wants to buy some potatoes,which are priced at m dollars a pround.he has already spent b dol
    14·2 answers
  • Can someone find the surface area please
    12·2 answers
  • 10(23+7)=100ℓ+100ℓ What is the value of \large\ellℓell in the equation above?
    11·1 answer
  • Find the value of x in the figure.<br><br> A. 18<br> B. 33<br> C. 35<br> D. 41
    12·1 answer
  • Which of the numbers is greater than zero? Select all that apply?
    10·2 answers
  • Which of the following is an example of the identity property of 1?
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!