The height of the corn stalk in inches over the first 8 weeks of growth could be roughly modeled by the function
h(t) = 2(1.6 t)
where t is measured in weeks.

On which week of growth would the corn stalk grow to 21 inches?

A.week 1
B.week 4
C.week 3
D.week 5

Answer:

Step-by-step explanation:

the area of the rectangle is a difference of two squares

so it can be expressed

(x^2-3y)(x^2+3y)

Answer:

(x^2-3y)(x^2+3y) if you multiply them all together you get the final answer of x^4-9y^2

hope this helps

have a good day :)

Step-by-step explanation:

Answer:

(a) 8P3 =336;

Answer:

The answer is in the picture.

Answer:

226.19 [tex]cm^{3}[/tex]

Step-by-step explanation:

Vol. of cone = Bh/3   where B is the area of the base(circle) and h is the height of the cone.

r = 3   h = 3

V = [tex]\frac{\pi *3^{2}*3 }{3}[/tex] = 9π

Vol. of the cylinder = Bh   where B is the base(circle) and h is the height of the cylinder.

r = 3   h = 10 - 3 = 7

V = [tex]\pi *3^{2} * 7[/tex] = 63π

Total volume = 9π + 63π = 72π = 72(3.1416....) = 226.19

Volume is a three-dimensional scalar quantity. The volume of the composite figure will be 226.194cm³.

A volume is a scalar number that expresses the amount of three-dimensional space enclosed by a closed surface.

The volume of the composite solid is the sum of the slanted cylinder and the cone. Therefore, the volume will be,

Volume = Volume of cone + Volume of slant cylinder

             = [(1/3)πr²h] + [πr²H]

             = [(1/3)×π×(3)²×3] + [π×(3)²×7]

             = 28.274 cm³ + 197.920 cm³

             = 226.194 cm³

Hence, the volume of the composite figure will be 226.194cm³.

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Answer:

2[tex]\sqrt{5}[/tex]

Step-by-step explanation:

8/4 = 2

[tex]\sqrt{20} / \sqrt{4}[/tex] = [tex]\sqrt{5}[/tex]

Therefore: 2[tex]\sqrt{5}[/tex]

Hope this helps!

Answer:

[tex]2\sqrt{5}[/tex]

Step-by-step explanation:

[tex]\frac{8\sqrt{20}}{4\sqrt{4}} = \frac{2 \cdot 4 \cdot \sqrt{4} \cdot \sqrt{5}}{4 \cdot \sqrt {4}} = 2\sqrt{5}[/tex]

Answer:

Step-by-step explanation:

A for sure & C

Answer:

B.

[tex]\frac{1}{28^{2} }[/tex]

4

C.

[tex]\frac{7^{-2} }{4^{2} }[/tex]

Answer:

6 ÷ 2(1+2)

From

PEMDAS

We deal with Parenthesis first, Then Multiplication before division.

6÷ 2(3)

6÷6

6/6 = 1.

Answer:

1

Step-by-step explanation:

= 6 ÷ 2(3)

= 6 ÷ 2 of 3

= 6 ÷ 6 (∵ Using BODMAS rule)

= 1

Answer:

5hours - 3hours = 2hours

25 = a1(1- (0.6)⁴)/(1-0.6)

25 = a1 (1- 0.13)/(0.4)

10 = a1(0.87)

a1 = 11.49

S8 = 11.49(1- (0.6)^8)/(1-0.6)

= 11.49(1-0.017)(1-0.6)

= 11.49(0.983)/0.4

= 28.24

The sum of the first eight terms of the given geometric series is; 28.24

We are told that the sum of the first four terms of the geometric series is 25. Thus, formula for sum of n terms of a geometric series is;

Sₙ = a(1 - rⁿ)/(1 - r)

where;

a is first term

r is common ratio

Thus;

25 = a(1 - (0.6)⁴)/(1 - 0.6)

25 = a(1 - 0.13)/(0.4)

10 = 0.87a

a = 11.49

Thus, sum of the first 8 terms of the series is;

S₈ = 11.49(1 - 0.6⁸)/(1 - 0.6)

S₈ = 11.49(1 - 0.017)(1 - 0.6)

S₈ = 28.24

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Given:

The quadratic equation is:

[tex]x^2+x-30=0[/tex]

To find:

The solutions of the given equation.

Solution:

We have,

[tex]x^2+x-30=0[/tex]

Splitting the middle term, we get

[tex]x^2+6x-5x-30=0[/tex]

[tex]x(x+6)-5(x+6)=0[/tex]

[tex](x+6)(x-5)=0[/tex]

Using zero product property, we get

[tex]x+6=0[/tex] and [tex]x-5=0[/tex]

[tex]x=-6[/tex] and [tex]x=5[/tex]

Therefore, the solutions of the given quadratic equation are -6 and 5.

Answer: (3x-5)(x+3)(x-3)

Step-by-step explanation:

Answer:

7+√5/4

Step-by-step explanation:

if that is = a, find the value of a + 1 over a

​Given that a = 3 - √5

a+1/1 = (3-√5)+1/3 - √5

4-√5/3 - √5

Rationalize

4-√5/3 - √5 * 3+√5/3 + √5

= 12 +4√5-3√5-√25/9-5

= 12+√5-5/4

= 7+√5/4

Hence the requred answer is  7+√5/4

Answer:

A - 3.4

Step-by-step explanation:

Answer:10

Step-by-step explanation: If you see that the vocabulary questions is 20 percent of the total number of questions which is 50, then you multiply 20/100 with 50 which is 1/5 of 50 which is 10 questions. Hope this helps

Answer:

You will need 411 inches

Step-by-step explanation:

To solve this problem you have to find the surface area.

First, multiply.

7 × 13 = 91

16 × 7 = 112

16 × 13 = 208

Then add.

91 + 112 + 208 = 411

You will need 411 inches of wrapping paper to cover the box.

Have a great day!

Answer:

534561.63

Explanation:

used calculator lolololololol

Answer:

13 / 25 were boys

14 / 25 were girls

Step-by-step explanation:

Of the girls 10 said no and 4 said yes

10 + 4 = 14 so she asked a total of 14 girls

Of the boys 8 said yes and 5 said no

8 + 5 = 13 so she asked a total of 13 boys

she asked 14 girls and 13 boys

14 + 13 = 25 so she asked a total of 25 people

Out of the 25 people she asked 13 of them were boys

So 13 out of 25 people we boys

or 13 / 25

which means 14 out of 25 were girls

or 14 / 25

Answer: first one: false second one: true

Step-by-step explanation:

Answer:

I beleave that it is 12 because it look like for every 1 unit to the right it goes up 12.

Answer:

Hello! answer: volume = 216

Step-by-step explanation:

Volume for rectangular prisms are found by doing length × width × height so... 6 × 4 × 9 = 216 therefore the volume is 216 hope that helps!

Answer: 12 boys attend Millwood School.

Step-by-step explanation:

Yeah. It just makes sense. I am bad at explaining. Sorry!

The ratio shows how many times one value is contained in another value.

The ratio of boys to girls at the Milwood School is 4 to 5.

The number of girls that attended the Milwood school is 15.

The number of boys that attended the Milwood school is 12.

The ratio shows how many times one value is contained in another value.

Example:

There are 3 apples and 2 oranges in a basket.

The ratio of apples to oranges is 3:2 or 3/2.

We have,

The ratio of boys to girls at the Milwood School is 4 to 5.

Total number of children = 27

Let the number of boys = 4x

Let the number of girls = 5x

Now,

4x + 5x = 27

9x = 27

x = 3

Now,

The number of boys = 4x = 4 x 3 = 12

The number of girls = 5x = 5 x 3 = 15

Thus,

The number of boys that attended the Milwood school is 12.

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Answer:

neither

Step-by-step explanation:

one lines slope is 2 and the other is -2

=>(hypotenuse)^2=(base)^2+(perpendicular)^2

=>(h)^2=(15)^2+(8)^2

=>(h)^2=289

=>h=√289

=>h=17 yd

Hope it helps you

225+64=289 is your answer

Answer:

24.27 cm

Step-by-step explanation:

sin 65 degrees = 22/x, so:

      1                   x

------------------ = ------

 sin 65 deg       22

so x = 22 / (sin 65 deg) = 22/0.906 = 24.27 cm

Answer:

The total number of bulbs are "320 bulbs".

Step-by-step explanation:

According to the question,

The square garden's side length,

x = 8 feet

Number of tulip bulbs she plant,

= 5

Now,

As per the question, the area of square will be:

⇒ [tex]A=x^2[/tex]

       [tex]=(8)^2[/tex]

       [tex]=64[/tex]

hence,

The total number of bulbs will be:

⇒ [tex]n=A\times 5[/tex]

       [tex]=64\times 5[/tex]

       [tex]=320 \ bulbs[/tex]

Thus the above is the correct solution.

Answer:

34-10 for admission= 24. if each ride cost 1.50, you can take 1.50x16 and get 24.00. He can go on 16 rides.

Answer:

No, that would cost more than $180.

Step-by-step explanation:

6(10)+60(3)≤$180

60+180 = $240

$240≤$180

Hope this helps!

Answer:

3rd option

Step-by-step explanation:

Given

[tex]\frac{x^2-10x+21}{x^2+x-12}[/tex] ← factor numerator and denominator

= [tex]\frac{(x-7)(x-3)}{(x+4)(x-3)}[/tex] ← cancel (x - 3) on numerator / denominator

= [tex]\frac{x-7}{x+4}[/tex]

Step-by-step explanation:

c is the correct answer of this question.

Answer: 12m

Step-by-step explanation:

Assuming the garden is a rectangular one, the area can be calculated by the formula:

Area = Length * Width

Given the length, one can find the width by making it the subject of the formula:

300 = 25 * Width

Width = 300 / 25

= 12 m