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Brut [27]
3 years ago
13

At the beginning of spring, Taylor planted a small sunflower in her backyard. When it was first planted, the sunflower was 25 in

ches tall. The sunflower then began to grow at a rate of 2 inches per week. How tall would the sunflower be after 7 weeks? How tall would the sunflower be after w weeks?
Mathematics
2 answers:
jasenka [17]3 years ago
8 0

Answer:

Height after w weeks: 23+2w

Height after 10 weeks: 37

BlackZzzverrR [31]3 years ago
6 0

Answer:

Step-by-step explanation:

The sunflower then began to grow at a rate of 2 inches per week. This means that the rate of growth of the sunflower is in arithmetic progression. We would apply the formula for determining the nth term of an arithmetic sequence which is expressed as

Tn = a + d(n - 1)

Where

a represents the first term of the sequence.

d represents the common difference.

n represents the number of terms in the sequence.

From the information given,

a = 25 inches

d = 2 inches

To determine the height after 7 weeks, T7

n = 7

T7 = 25 + 2(7 - 1)

T7 = 25 + 12

T7 = 37 inches

To determine the height after w weeks, Tw

n = w

Tw = 25 + 2(w - 1)

Tw = 25 + 2w - 2

Tw = 23 + 2w

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The parallelogram shown below has an area of 140 units^2. The base is twelve and the side is 10 help this is so hard.
faltersainse [42]

Answer:

height = 11.67 units

Step-by-step explanation:

A parallelogram is a quadrilateral with 2 pairs of parallel sides. This means opposites sides are parallel to each other. Opposite angles and sides are congruent.

From your question the base of the parallelogram is given as 12 units and the sides is 10 units. The area of the parallelogram is given as 140 units². What is left is the height of the parallelogram.

Using the formula for finding the area of a parallelogram, the height can be found.

area of a parallelogram = base × height

base = 12 units

height = ?

area = 140 unit²

area of a parallelogram = base × height

let

h = height

140 = 12h

divide both sides by 12

h = 140/12

h = 11.6666666667 units

height = 11.67 units

5 0
3 years ago
OCCHICIS
patriot [66]

Answer:

Witch side is shaded if one is shaded then that one is the answer

Step-by-step explanation:

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7 0
2 years ago
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Answer:

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Step-by-step explanation:

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6 0
3 years ago
A triangular pyramid and its net are shown. Rain uses Calculations below to conclude that the surface area of a triangular pyram
Harman [31]

Answer:

Rain is correct, calculates correctly, 238.5 square inches

Step-by-step explanation:

The given triangular pyramid is shown with the dimensions.

The surface area of the triangular pyramid is given by :

$A=\frac{1}{2}\left(a \times b\right) + 3\left(\frac{1}{2}\times b\times s\right)$

$A=\frac{1}{2}\left(10 \times 8.7\right) + 3\left(\frac{1}{2}\times 10\times 13\right)$

$A=43.5+(3\times 65)$

$A=43.5+195$

$A=238.5 \ \text{inche}^2$

Therefore, the surface area of the triangular pyramid is = 238.5 square inches.

5 0
3 years ago
Rewrite the equation by completing the square.<br> 4x2 + 28x + 49 = 0<br> (x+) =
Vlada [557]

Answer: x = - 3.5

Step-by-step explanation:

Rewrite the equation by completing the square.

4x2 + 28x + 49 = 0

Completing the square method :

Divide through by the Coefficient of x^2

x^2 + 7x + (49/4) = 0

a = 1, b = 7, c = 49/4

Move c to the right side of the equation

x^2 + 7x = - 49/4

Complete the square on the left hand side by squaring its half of the x term

(7/2)^2 = (49/4)

Add the output to both sides of the equation

x^2 + 7x + (49/4) = - (49/4) + (49/4)

(x + 7/2)^2 = 0

Square root of both sides

x + 7/2 = 0

x = - 7/2

x = - 3.5

4 0
2 years ago
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