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3 years ago

Find the surface area of the rectangular prism:

Mathematics

1 answer:

Oksana_A [137]3 years ago

5 0

Answer:

94 cm²

Step-by-step explanation:

= 2 × (5×3 + 5×4 + 3×4)

= 2 × (15 + 20 + 12)

= 2 × 47

= 94 cm²

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Solve 3x-2/4 - 2x-5/3 = 1+x/6

elena-14-01-66 [18.8K]

Answer:

x = 3.8

hope it's helpful ❤❤❤

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3 years ago

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Point Q' (3,2) is the image of Q (6,4) under a translation

maks197457 [2]

$x-value= 6-3= 3$ Find the x-value difference

$y-value=4-2=2$ Find the y-value difference

*(The Answer)*= The translation is the point shifted 3 units to the right and 2 units up.

6 0

3 years ago

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If a = 5 and b = 6, evaluate the following expression: a 3a + b

babymother [125]

Answer:

3ab

Step-by-step explanation:

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3 years ago

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If (fog)(x)=7x-1/3 and f(x)=3x+5,find g(x),where g(x)is linear

Svetach [21]

Answer: $g(x) = \dfrac73x-\dfrac{16}{9}$

Step-by-step explanation:

Given: $(fog)(x)=7x-\dfrac13$

$f(x)=3x+5$

and g(x) is linear.

A linear function is of the form : $y= mx+c$

Let $g(x)= mx+c$

Then, $(fog)(x)=f(g(x))= f(mx+c)$

$= 3(mx+c)+5\\\\=3mx+3c+5$

Comparing it with the original (fog)(x), we get

$3mx+3c+5=7x-\dfrac{1}{3}$

Comparing coefficient of x and constants separately

$3m=7,\ \ \ \ 3c+5=-\dfrac13\\\\\Rightarrow\ m=\dfrac{7}{3},\ \ \ \ 3c =-\dfrac{1}{3}-5\\\\\Rightarrow\ m=\dfrac{7}{3},\ \ \ \ 3c =-\dfrac{16}{3}\\\\\Rightarrow\ m=\dfrac{7}{3},\ \ \ \ c =-\dfrac{16}{9}$

So, $g(x) = \dfrac73x-\dfrac{16}{9}$

3 0

4 years ago

21 22 23 24 25 TIME REMAINING 01:40:27 A hat contains slips of paper with the names of the 26 other students in Eduardo’s class

Pani-rosa [81]

There are 26 - 10 = 16 girls. The number of ways to choose 2 girls from a set of 16 is C(16, 2) = 120. (Your class might be using a different notation for combinations, like $_{16}C_2$ .)

The number of ways to choose 2 people (boys or girls) from a set of 26 is C(26, 2) = 325.

The probability of choosing 2 girls is $\frac{120}{325} = \frac{24}{65}$

Example: how to compute C(16,2):

$C(n, r) = \frac{n!}{r!(n-r)!} \\ C(16, 2) = \frac{16!}{2!(16-2)!} \\ =\frac{16!}{2! \times 14!} \\ =\frac{16\times 15}{2\times 1} \\ =120$

7 0

4 years ago