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3 years ago

Explain how multiplying fractions is similar to multiplying whole numbers and how it is different ?

1 answer:

4 0

<span>Multiplication with fractions is similar to multiplication with whole numbers in that you are often finding the product of groups of items. They are different in that you can multiply with fractions to find parts of an amount.</span>

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Number 1. Based on the marks, what can you assume to be true in each figure?

lakkis [162]

These marks are used in geometry to symbolize congruence. If two sides or two angles are congruent, they are assigned with the same symbol.

A. Side AD is congruent to Side CB
B. Side HE is congruent to side HG. Side EF is congruent to Side GF.
C. The base angles are congruent.
D. Side QF is congruent to Side MN, and Side QM is congruent to Side PN. The shape is a rectangle.

3 0

3 years ago

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What is the coeffieent of (x^4)(y^4) in the expansion of (x+y)^8

kap26 [50]

ANSWER

The coefficient is 70.

EXPLANATION

The given binomial expression is

$(x+y)^8$

The specific term of a binomial expansion can be determined using the formula,

$T_{r+1}= nC_ra^{n-r}b^r$
where

$n=8,r=4,a=x,b=y$

We substitute these values into the formula to get,

$T_{4+1}= 8C_4x^{8-4}y^4$

We simplify to get,

$T_{5}= 70x^{4}y^4$

Hence the coefficient is 70.

4 0

3 years ago

Saige's spaceship traveled 588 588588 kilometers ( km ) (km)left parenthesis, start text, k, m, end text, right parenthesis in 6

pshichka [43]

Answer:

The first ship has the same speed as Saige's ship while the second and third do not have the same speed.

Step-by-step explanation:

d = Distance traveled by Saige's spaceship = 588 km

t = Time taken = 60 seconds

Speed is given by

$s=\dfrac{d}{t}\\\Rightarrow s=\dfrac{588}{60}\\\Rightarrow s=9.8\ \text{km/s}$

The other ships

$s=\dfrac{441}{45}=9.8\ \text{km/s}$

$s=\dfrac{215}{25}=8.6\ \text{km/s}$

$s=\dfrac{649}{110}=5.9\ \text{km/s}$

So, the first ship has the same speed as Saige's ship while the second and third do not have the same speed.

8 0

3 years ago

Is -2.25 - (-3) a positive number

Zielflug [23.3K]

Answer:

Yes it is

Step-by-step explanation:

The answer is 0.75

-2.25-(_3)

_2.25 +3

=0.75

6 0

3 years ago

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The region R enclosed between the graph of the function y=x^2−4x+5 and the x-axis for 0≤x≤4 is partitioned into four subinterval

Marina CMI [18]

Answer:

9.00 square units

Step-by-step explanation:

The width of the interval is 4 − 0 = 4. Divided by 4 equal subintervals, the width of each subinterval is 4/4 = 1.

The subintervals are:

0 ≤ x ≤ 1

1 ≤ x ≤ 2

2 ≤ x ≤ 3

3 ≤ x ≤ 4

MRAM is midpoint rectangular approximation method. So we use the midpoints of each interval to find the height of the rectangle:

f(0.5) = (0.5)² − 4(0.5) + 5 = 3.25

f(1.5) = (1.5)² − 4(1.5) + 5 = 1.25

f(2.5) = (2.5)² − 4(2.5) + 5 = 1.25

f(3.5) = (3.5)² − 4(3.5) + 5 = 3.25

So the total approximate area is:

A = 3.25 + 1.25 + 1.25 + 3.25

A = 9.00

Graph: desmos.com/calculator/x8dcibqszo

7 0

3 years ago

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