All categories

3 years ago

Which expressions are equivalent?

Mathematics

2 answers:

Phoenix [80]3 years ago

6 0

im pretty sure it's the first option.

Mariana [72]3 years ago

6 0

Answer:

#1) is right

Step-by-step explanation:

You might be interested in

A case of 8 items costs $9.44 at Costco. What is the price of each item?

Anarel [89]

Answer: $1.18 per item

Step-by-step explanation:

9.44/8=$1.18 per item

5 0

1 year ago

How do you solve 2y-7y=5

scZoUnD [109]

Answer:

$y=-1$

Step-by-step explanation:

1. Combine like terms

2y-7y = -5y

-5y=5

2. Divide by -5 and the answer is $y=-1$

6 0

3 years ago

Find the approximate area between the curve f(x) = -4x² + 32x and on the x-axis on the interval [0,8] using 4 rectangles. Use th

Doss [256]

Split up the interval [0, 8] into 4 equally spaced subintervals:

[0, 2], [2, 4], [4, 6], [6, 8]

Take the right endpoints, which form the arithmetic sequence

$r_i=2+\dfrac{8-0}4(i-1)=2i$

where 1 ≤ i ≤ 4.

Find the values of the function at these endpoints:

$f(r_i)=-4{r_i}^2+32r_i=-16i^2+64i$

The area is given approximately by the Riemann sum,

$\displaystyle\int_0^8f(x)\,\mathrm dx\approx\sum_{i=1}^4f(r_i)\Delta x_i$

where $\Delta x_i=\frac{8-0}4=2$ ; so the area is approximately

$\displaystyle2\sum_{i=1}^4(-16i^2+64i)=-32\sum_{i=1}^4i^2+128\sum_{i=1}^4i=-32\cdot\frac{4\cdot5\cdot9}6+128\cdot\frac{4\cdot5}2=\boxed{320}$

where we use the formulas,

$\displaystyle\sum_{i=1}^ni=\frac{n(n+1)}2$

$\displaystyle\sum_{i=1}^ni^2=\frac{n(n+1)(2n+1)}6$

6 0

3 years ago

In a relay race, the probability of the galaxy team winning is 22%. in another unrelated relay race, the probability of the kome

lina2011 [118]

We know that
the probability of the Galaxy team winning is 22%------> 0.22
the probability of the Galaxy team losing is 100%-22%----> 78%-----> 0.78

the probability of the Komets team winning is 47%------> 0.47
the probability of the Komets team losing is 100%-47%----> 53%-----> 0.53

therefore
the probability of the comets losing their race and the galaxy winning theirs is
0.53*0.22=0.1166------> 11.66%

the answer is
11.66%

4 0

2 years ago

The oblique prism has a rectangular base with a width of 10 units and a length of 13 units. The top base extends 8 units to the

Keith_Richards [23]

Answer:

1950 cubic units

7 0

3 years ago

Read 2 more answers