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4 years ago

Pls help me and show work

Mathematics

1 answer:

padilas [110]4 years ago

6 0

Answer:

Step-by-step explanation:

a batch requires 3 cups of flour, so a half batch requires a half of 3 cups of flour,

which mean a 1/2 batch needed 1 and 1/2 cups of flour.

so a cup of flour can make ??? batch of bread:

3 cup = 1 batch

4 cup = ? batch

so the answer is 4/3 batch or 1 and 1/3 batch of bread for 4 cups of flour

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[Function Composition] could someone help me with this answers or show work either is fine

zavuch27 [327]

Answer:

Step-by-step explanation:

Given the following expressions

f(x) = x³-2x

g(x) =-x-2

We are to find (fog)(-5)

fog = f(g(x))

f(g(x)) = f(-x-2)

Replace x with -x-2 in f(x)

f(-x-2) = (-x-2)³-2(-x-2)

f(-x-2) = (-x-2)³+2x+4

fog = (-x-2)³+2x+4

Substitute x = -5 into the result

fog(-5) = (-x-2)³+2x+4

fog(-5) = (-(-5)-2)³+2(-5)+4

fog(-5) = (5-2)³-10+4

fog(-5) = 3³-6

fog(-5) = 27-6

fog(-5) = 21

Hence the required result of the composite function is 21

8 0

3 years ago

Find the indicated nth partial sum of the arithmetic sequence. −7, −3, 1, 5, . . ., n = 30

TiliK225 [7]

Step-by-step explanation:

Given the Arithmetic sequence

$-7, -3, 1, 5, . . .$

An arithmetic sequence has a constant difference d and is defined by

$a_n=a_1+\left(n-1\right)d$

$\mathrm{Compute\:the\:differences\:of\:all\:the\:adjacent\:terms}:\quad \:d=a_{n+1}-a_n$

$-3-\left(-7\right)=4,\:\quad \:1-\left(-3\right)=4$

$\mathrm{The\:difference\:between\:all\:of\:the\:adjacent\:terms\:is\:the\:same\:and\:equal\:to}$

$d=4$

$\mathrm{The\:first\:element\:of\:the\:sequence\:is}$

$a_1=-7$

$a_n=a_1+\left(n-1\right)d$

$\mathrm{Therefore,\:the\:}n\mathrm{th\:term\:is\:computed\:by}\:$

$a_n=4\left(n-1\right)-7$ ∵ $d=4$

$\mathrm{Arithmetic\:sequence\:sum\:formula:}$

$n\left(a_1+\frac{d\left(n-1\right)}{2}\right)$

$\mathrm{Plug\:in\:the\:values:}$

$n=30,\:\space a_1=-7,\:\spaced=4$

$=30\left(-7+\frac{4\left(30-1\right)}{2}\right)$

$=30\left(58-7\right)$ ∵ $\frac{4\left(30-1\right)}{2}=58$

$=30\cdot \:51$

$=1530$ ∵ $\mathrm{Multiply\:the\:numbers:}\:30\cdot \:51=1530$

Therefore, the indicated nth partial sum of the arithmetic sequence is 1530.

ANOTHER METHOD

$a_n=4\left(n-1\right)-7$

n = 30

$\sum _{n=1}^{30}\:4\left(n-1\right)-7$

$=\sum _{n=1}^{30}4n-11$

$\mathrm{Apply\:the\:Sum\:Rule}:\quad \sum a_n+b_n=\sum a_n+\sum b_n$

$=\sum _{n=1}^{30}4n-\sum _{n=1}^{30}11$

$\sum _{n=1}^{30}4n=1860$

and

$\sum _{n=1}^{30}11=330$

$=1860-330$

$=1530$

7 0

3 years ago

Formula to find the volume of a circle

victus00 [196]

V = ⁴⁄₃πr³ is the formula for the volume of a sphere

3 0

3 years ago

Read 2 more answers

Write the ratios for sin M, cos M, and tan M.

Dominik [7]

Answer:

Sin M= opposite/hypotenuse, cos M= adjacent/Hypotenuse, tan M= opposite/adjacent

Step-by-step explanation:

7 0

2 years ago

Read 2 more answers

Write an equation of the line in slope intercept form

Nastasia [14]

Answer:

Step-by-step explanation:

(2 - 3)/(4 - 0) = -1/4

y - 2 = -1/4(x - 4)

y - 2 = -1/4x + 1

y = -1/4x + 3

6 0

3 years ago