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3 years ago

First term is 3, common difference is 4 what is the 5th term

Mathematics

1 answer:

patriot [66]3 years ago

5 0

Answer:

Step-by-step explanation:

The n th term of an arithmetic sequence is

$a_{n}$ = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = 3 and d = 4 , thus

a₅ = 3 + (4 × 4) = 3 + 16 = 19

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The leaves of a poison ivy plant are found in clusters of 3. One poison ivy plant has a total of 21 leaves. How many leaf cluste

svetlana [45]

Answer:

7 clusters

Step-by-step explanation:

Leaves in clusters of 3

One plant has 21 leaves

Divide 21 by 3

7 clusters of 3 leaves per cluster

To check, multiply 7 * 3, you get 21, answer is correct

5 0

4 years ago

What is the volume of a sphere with a diameter of 7.7 ft, rounded to the nearest tenth

Scorpion4ik [409]

Step-by-step explanation:

V=4/3πr^3

V=4/3π(3.85)^3

V=4/3π(57.066625)

V=4/3 (179.280089865)

V=239.04011982

V=239 ft^3

8 0

3 years ago

Simplify. −5x − 10x + 20/ −5 <br> A) 5x + 4 <br> B) 3x + 4 <br> C) 3x − 4 <br> D) −5x − 4

Anika [276]

Answer: a

Step-by-step explanation:

Add or subtract- keep sign of bigger number

3 0

3 years ago

Read 2 more answers

URGENT! Can someone please help me?

katovenus [111]

Answer:

An equation of the circle with centre (5,7) and radius 2 is $\mathbf{(x-5)^2+(x-7)^2=4}$

Option A is correct.

Step-by-step explanation:

A circle in the xy-plane has centre (5,7) and radius 2. Which of the following is an equation of the circle.

The equation of circle is of form: $(x-h)^2+(x-k)^2=r^2$ where (h,k) is centre and r is radius.

We have centre (5,7) so, we have h = 5 and k = 7

We have radius = 2 so, r = 2

Putting values in the equation and finding the required equation:

$(x-h)^2+(x-k)^2=r^2\\(x-5)^2+(x-7)^2=(2)^2\\(x-5)^2+(x-7)^2=4$

So, an equation of the circle with centre (5,7) and radius 2 is $\mathbf{(x-5)^2+(x-7)^2=4}$

Option A is correct.

3 0

3 years ago

A square is folded into half to form a rectangle. the perimeter of the rectangle is 36cm. calculate the area of a square

zhannawk [14.2K]

Answer:

Let the measure of each side of the square be " x " cm.

then ,

area of square = x²

After we folded the square into a rectangle ,

length of rectangle = x

breadth of rectangle = x/2

perimeter of rectangle = 36 cm

$x + \frac{x}{2} + x + \frac{x}{2} = 36 \\ \\ \frac{2x + x + 2x + x}{2} = 36 \\ \\ \frac{6x}{2} = 36 \\ \\ 6x = 36 \times 2 \\ \\ 6x = 72 \\ \\ 6x = \cancel{\frac{72}{6} } = 12cm$

hence ,

side of square = 12 cm

therefore ,

area of square = 12 × 12 = 144 cm²

hope helpful~

8 0

3 years ago