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2 years ago

Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s).

Mathematics

1 answer:

Lunna [17]2 years ago

3 0

Answer:

Step-by-step explanation:

After 3 days :

3³ = 27 belts
4(3) + 15 = 12 + 15 = 27 belts

After 3 days, the number of belts and wallets sold will be the same, equal to 27.

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determine whether the triangles are similar if so what is the similarity statement and the postulate or theorem used.

zmey [24]

The triangles are similar because of the SAS postulate. The sides are proportional and angle T is equal in both.

6 0

3 years ago

Based on the polynomial remainder theorem, what is the value of the function when x=−6 ?

Vaselesa [24]

ANSWER

$f( - 6) = 10$

EXPLANATION

The given function is
$f(x) = {x}^{4} + 8 {x}^{3} + 10 {x}^{2} - 7x + 40$

According to the remainder theorem,

$f( - 6) = R$
where R is the remainder when
$f(x)$

is divided by
$x + 6$

We therefore substitute the value of x and evaluate to obtain,

$f( - 6) = { (- 6)}^{4} + 8 {( - 6)}^{3} + 10 { (- 6)}^{2} - 7( - 6)+ 40$

$f( - 6) = 1296 + 8 ( - 216) + 10 (36) - 7( - 6)+ 40$

$f( - 6) = 1296 - 1728 + 360 + 42+ 40$

This will evaluate to,

$f( - 6) = 10$

Hence the value of the function when
$x = - 6$

is
$10$

According to the remainder theorem,
$10$
is the remainder when

$f(x) = {x}^{4} + 8 {x}^{3} + 10 {x}^{2} - 7x + 40$
is divided by
$x + 6$

3 0

3 years ago

Simplify the square root of 10000 using powers of 10.

Alexxandr [17]

Answer:

square 10 to the 4th power but you have to divide it into 2 so it will be 10 to the 2nd power

hope this helps

4 0

2 years ago

A rock is thrown up from the ground at a velocity of 84 feet per second. The formula h = -16t2 + 84t gives the rock's height in

kenny6666 [7]

Answer:

h = 110.24 m

Step-by-step explanation:

It is given that,

A rock is thrown up from the ground at a velocity of 84 feet per second. The formula $h = -16t^2 + 84t$ gives the rock's height in feet after t second.

We need to find the maximum height of the rock. For maximum height put $\dfrac{dh}{dt}=0$

So,

$\dfrac{d( -16t^2 + 84t)}{dt}=0\\\\-32t+84=0\\\\t=\dfrac{84}{32}\\\\t=2.62\ s$

Put t = 2.62 s in the equation of height. So,

$h = -16(2.62)^2 + 84(2.62)\\\\h=110.24\ m$

So, the maximum height of the rock is 110.24 m.

7 0

3 years ago

Simplify the function..........

andre [41]

7ab a - b
-------------- - --------------
a^2 - b^2 a + b

  7ab a - b
= -------------- - --------------
(a-b)(a+b) a + b

7ab   (a - b)^2
= -------------- - -----------------------
  (a-b)(a+b) (a + b)(a-b)

7ab a^2 - 2ab + b^2
= -------------- - -----------------------
  (a-b)(a+b) (a + b)(a-b)

7ab - a^2 + 2ab - b^2
= -----------------------------------
   (a-b)(a+b)

- a^2 + 9ab -  b^2
= -----------------------------------
   (a-b)(a+b)

Answer is A. first one

6 0

3 years ago