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2 years ago

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Mrs. Holt writes the expression 6/4 + 5/8 . She ask her students to simplify the expression and write the answer as a percentage

. The table shows the responses of four students. Which student correctly simplifies Mrs. Holt ‘s expression into percentage?

2 answers:

stealth61 [152]2 years ago

8 0

Answer:

221.5%

Step-by-step explanation:

6/4=12/8 12+5=17 so 17/8

divide to get 2.125

multiply by 1oo to get percent

221.5

sry I messed up before

Oksanka [162]2 years ago

3 0

Answer:

I don't see the table, but if you do 6/4 + 5/8 = 12/8+5/8 = 17/8.

17/8 = 2.125 = 212.5%

Step-by-step explanation:

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Find the area of the figure. Use 3.14 as π.

Karolina [17]

Answer: D. 94.25 in²

Step-by-step explanation:

To find the total area, we will break the shape up into two different parts.

[] The rounded part is 39.25 in². Let us assume the rounded part is exactly half of a circle.

Area of a circle:

A = πr²

Use 3.14 for pi:

A = (3.14)r²

Find the radius:

d / 2 = r, 10 / 2 = 5 in

Subsittue:

A = (3.14)(5)²

A = 78.5 in²

Divide by 2 since it is only half:

78.5 in² / 2 = 39.25 in²

[] The triangle is 55 in².

Area of a triangle:

A = b*h/2

A = 11 * 10 / 2

A = 110 / 2

A = 55 in²

[] Total area. We will add the two parts together.

55 in² + 39.25 in² = 94.25 in²

7 0

1 year ago

Read 2 more answers

REALLY NEED HELP ASAP!!!!!!!

stich3 [128]

Answer: OPTION C

Step-by-step explanation:

There are some transformations for a function f(x). Some of them are shown below:

1. If $f(x)+k$ , the function is shifted up "k" units.

2. If $f(x)-k$ , the function is shifted down "k" units.

3. If $f(x+k)$ , the function is shifted left "k" units.

4. If $f(x-k)$ , the function is shifted right "k" units.

In this case you know that the function "g" is the transformation of the function "f".

Observe that the function "f" intersects the y-axis at:

$y=2$

And the function "g" intersects the y-axis at:

$y=-2$

Therefore, since both functions are 4 units apart, you can conclude that the function "f" was shifted down 4 units to get the function "g".

Then, the rule that shows that transformation is:

$g(x)=f(x)-4$

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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.

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

How much can 6 go in 3

s344n2d4d5 [400]

Answer: 6 cannot go into 3 because it is a larger number but 3 can go into 6 twice because 3x2=6

4 0

3 years ago

Read 2 more answers

Four adults and five children go to see a movie and buy $15 worth of concessions. The total cost of their trip is $71. If each c

noname [10]

Answer:

$7.75

Step-by-step explanation:

Given: Adults = 4, Children = 5, All worth = $15, Total cost = $71, Each child's ticket = $5

To find: How much the adult tickets are

Solution: Use the 5 tickets at $5 to get $25

Add the $15 for concessions to reach $40

25 + 15 = 40

Subtract $40 from the 71 spent to get $31

71 - 40 = 31

Now, divide the 31 by 4 for the number of adults which equals $7.75

31 ÷ 4 = 7.75

So, the cost of the adults' tickets is $7.75

4 0

3 years ago