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2 years ago

IV. Short Answer Type – I ( any Eight) : 8 X 2 = 16

Mathematics

1 answer:

DIA [1.3K]2 years ago

6 0

Step-by-step explanation:

answer 30- supplying water to the plants at a specific interval

answer-31 there are five major groups of microorganisms they are : bacteria,fungi algae, protozoa,viruses.

answer-35 the process by which the young form of insects and some animals develops into adult.

answer - 37 sounds that can be here are called audible and the sound frequency that we cannot hear are called in audible sound

answer-34 the rain that contains the chemicals in it from the factories

answer-38 catract is a disease which causes blurrness in the eye lens

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One batch of walnut muffins uses 1 cups of walnuts. How many cups of

faust18 [17]

Answer:

3 cups of walnuts

Step-by-step explanation:

Step 1: We have a ratio of 1 cup of walnuts to 1 cup of walnut muffins

1:1

Step 2: We are given 3 batches of walnut muffins

?:3

Step 3: We know this is a 1 to 1 ratio

3:3

Therefore you will need 3 cups of walnuts to make 3 batches of muffins

4 0

3 years ago

F(x) = 3x^3 - 2x^2 - 11x + 10; (x + 2) I need to factor and find the zeros.

Ratling [72]

Answer:

$\textsf{Factored function}: \quad f(x)=(x+2)(3x-5)(x-1)$

$\textsf{Zeros}: \quad x=-2, \quad x=\dfrac{5}{3},\quad x=1$

Step-by-step explanation:

Given function:

$f(x)=3x^3-2x^2-11x+10$

If (x + 2) is a factor then:

$\implies f(x)=(x+2)(ax^2+bx+c)$

Expand:

$\implies f(x)=ax^3+bx^2+cx+2ax^2+2bx+2c$

$\implies f(x)=ax^3+2ax^2+bx^2+2bx+cx+2c$

$\implies f(x)=ax^3+(2a+b)x^2+(2b+c)x+2c$

To find a, compare the coefficients of x³:

$\implies a=3$

To find b, substitute the found value of a into the coefficient for x² and compare:

$\implies 2a+b=-2$

$\implies 2(3)+b=-2$

$\implies b=-8$

To find c, compare the constants:

$\implies 2c=10$

$\implies c=5$

Therefore:

$\implies f(x)=(x+2)(3x^2-8x+5)$

Now factor (3x²-8x+5):

$\implies 3x^2-3x-5x+5$

$\implies 3x(x-1)-5(x-1)$

$\implies (3x-5)(x-1)$

Therefore the factored function is:

$\implies f(x)=(x+2)(3x-5)(x-1)$

Zero Product Property

$\boxed{\text{If \; $a \cdot b = 0$ \; then either \; $a = 0$ \;or \;$b = 0$ (or both)}.}$

To find the zeros, set each factor equal to zero and solve for x:

$\implies x+2=0 \implies x=-2$

$\implies 3x-5=0 \implies x=\dfrac{5}{3}$

$\implies x-1=0 \implies x=1$

Therefore, the zeros of the function are:

$x=-2, \quad x=\dfrac{5}{3},\quad x=1$

3 0

1 year ago

Jana divided a sheet of paper into five equal sections and colored two of the sections read what percent of the paper did she co

MArishka [77]

There are 5 sections in total.
She colored 2 sections out of the 5 sections.
As a fraction, that would be 2/5, which is 0.4 as a decimal (2 divided by 5), which is 40%

8 0

3 years ago

Beth is buying a new washing machine that

Mazyrski [523]

Beth will pay $ 405.45 for washing machine

Solution:

Given that, Beth is buying a new washing machine that costs $450

Cost price = $ 450

She has a 15% off coupon

So, she has a discount of 15 % of 450

Let us find the discount rate

Discount rate = 15 % of 450

$Discount\ rate = 15 \% \times 450\\\\Discount\ rate = \frac{15}{100} \times 450 = 0.15 \times 450 = 67.5$

Thus discount rate is $ 67.5

Therefore, sales price is given as:

sales price = cost price - discount rate

sales price = 450 - 67.5 = 382.5

Thus she pays $ 382.5

Now she must pay 6 % sales tax

Let us find the sales tax rate

Sales tax rate = 6 % of 382.5

$sales\ tax\ rate = 6 \% \times 382.5\\\\sales\ tax\ rate = \frac{6}{100} \times 382.5 = 0.06 \times 382.5 = 22.95$

Thus sales tax rate = $ 22.95

How much will Beth pay for the washing machine?

Total amount paid by Beth = sales price + sales tax rate

Total amount paid by Beth = 382.5 + 22.95 = 405.45

Thus Beth will pay $ 405.45 for washing machine

7 0

3 years ago

A box is to be made out of a 8 cm by 20 cm piece of cardboard. Squares of side length x cm will be cut out of each corner, and t

abruzzese [7]

Answer:

hi! im sorry if this is wrong, im gonna try my hardest.

V= 160

L= 240

W=34

sry this is prob wrong just wanted to help ;(

7 0

3 years ago