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Nina [5.8K]
3 years ago
8

Learning Task 3: In your answer sheet, write the letter of the correct answe

Mathematics
1 answer:
miss Akunina [59]3 years ago
8 0

Answer:

a.) May or may not a polynomial function ( depends on c)

b.) Not a polynomial function.

c.) Not a polynomial function.

d.) It is a polynomial function.

Step-by-step explanation:

A polynomial function is of the form - a_{n}x^{n} + a_{n-1} x^{n-1} + a_{n-2} x^{n-2} + .....+ a_{1}x + a_{0}

where n is positive integer and n\neq 0

a.)

P(x) = 2x³ + 32 - 4x + 4c

It may or may not a polynomial function because we did not know about the constant c.

b.)

H(x) = 4x^{\frac{1}{2} } - 3x⁴

It is not a polynomial function because \frac{1}{2} is not integer.

c.)

G(x) = 2x^{-3} + 5

It is not a polynomial function because -5 is not a positive integer.

d.)

F(x) = 2x³ - 5x + 33x²

It is a polynomial function.

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Craig has a building block in the shape of a rectangular pyramid. A net of which is shown below.
Alex787 [66]

Answer:

the answer is D: 294 sq. cm

Step-by-step explanation:

first you want to split the net into 4 triangles and 1 rectangle

a = 12 cm

b =  6 cm

d = 13 cm

calculate the surface area of the pyramid...

1st find the area of the rectangle base

Rectangle base area

b x a = (6 cm) (12 cm)

= 72 sq. cm

next find the area of the triangle on the left

Left triangle

1/2(b)(d) = 1/2 (6 cm)(13 cm)

= 1/2 (78 sq cm)

= 39 sq. cm

Since all the triangles are congruent (same), you will need to multiply by 2 to get the combined area of the triangle on the left and on the right.

Area of left & right triangles

= 2 (39 sq. cm)

= 78 sq. cm

Find the area of the triangle on the bottom

Bottom triangle area = 1/2 (a)(a)

= 1/2 (12 cm) (12 cm)

= 1/2 (144 sq. cm)

= 72 sq. cm

Since the bottom of the triangle is congruent to the top triangle, multiply that by 2 to get a combined area of the triangle on the bottom and top

Area of top & bottom triangles

2 (72 sq. cm) = 144 sq. cm

Finally...add the area of the 4 triangles to the area of the rectangular base

72 + 78 + 144 = 294 sq. cm

3 0
3 years ago
Last month, the daily balance in Joana's credit card account was $1,000 for 9 days, $750 for 10 days, $850 for 4 days, and $900
FrozenT [24]

Answer:

<em />Average = \$873<em />

<em />

Step-by-step explanation:

Given

$1000 for 9 days

$750 for 10 days

$850 for 4 days

$900 for other days

Required

Compute the daily average

First, we need to compute the number of days her balance is $900

Assuming the billing cycle is 30 days;

Number\ of\ days = 30 - (9 + 10 + 4)

Number\ of\ days = 30 - 23

Number\ of\ days = 7

The Average is then calculates using:

Average = \frac{\sum fx}{x}

Average = \frac{1000 * 9 + 750 * 10 + 850 * 4 + 900 * 7}{9 + 10 + 4+ 7}

Average = \frac{26200}{30}

Average = 873.333333333

<em />Average = \$873<em> --- Approximated</em>

3 0
3 years ago
A research study investigated differences between male and female students. Based on the study results, we can assume the popula
oksian1 [2.3K]

Answer: 0.0548

Step-by-step explanation:

Given, A research study investigated differences between male and female students. Based on the study results, we can assume the population mean and standard deviation for the GPA of male students are µ = 3.5 and σ = 0.05.

Let \overline{X} represents the sample mean GPA for each student.

Then, the probability that the random sample of 100 male students has a mean GPA greater than 3.42:

P(\overline{X}>3.42)=P(\dfrac{\overline{X}-\mu}{\dfrac{\sigma}{\sqrt{n}}}>\dfrac{3.42-3.5}{\dfrac{0.5}{\sqrt{100}}})\\\\=P(Z>\dfrac{-0.08}{\dfrac{0.5}{10}})\ \ \ [Z=\dfrac{\overline{X}-\mu}{\dfrac{\sigma}{\sqrt{n}}}]\\\\=P(Z>1.6)\\\\=1-P(Z

hence, the required probability is 0.0548.

6 0
4 years ago
In a company, there are 50 employees and some committees. If each employee belongs
Mrrafil [7]

Step-by-step explanation:

6x50

=300÷10

=30

Mark me brainliest !!!

7 0
3 years ago
A pipe is 25 inches long and has a diameter of
Lilit [14]

Answer:

The lateral area is 392.5 sq. inches.

Step-by-step explanation:

The pipe is in a shape of a cylinder. The lateral area formula for a cylinder is:

Lateral Area = 2\pi r h

Where

r is the radius (half of diameter)

h is the height

Given, diameter = 5

so,

radius = 5/2 = 2.5

Also,

height = 25 inches (same as length, here)

Now we use 3.14 for \pi and substitute the values to get the lateral area:

Lateral Area = 2\pi r h = 2(3.14)(2.5)(25)=392.5

The lateral area is 392.5 sq. inches.

4 0
3 years ago
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