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Natalija [7]
2 years ago
10

Which of the following is most likely the next step in the series?

Mathematics
2 answers:
Tanzania [10]2 years ago
7 0

Answer:

B. The triangle.

Step-by-step explanation:

Because as the list goes down, the number sides goes down by one.

AlexFokin [52]2 years ago
4 0
It should be b. the triangle. hope this helps.
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Hiro painted his room at a rate of 8 square meters per hour. After 3 hours of painting, he had 28 square meters left to paint. L
lesya692 [45]

Answer: A(t)=-8t+52

Step-by-step explanation:

<h3> The missing question is: "What is the Functions formula A(t)=?"</h3><h2 />

The  equation of the line in Slope-Intercept form is:

y=mx+b

Where "m" is the slope and "b" is the y-intercept.

According to the data given in the exercise, you know that:

- A(t) represents the area to paint the Hiros' romm as a function of time.

- The rate he painted the room was 8 square meters per hour.

- The area left to paint after 3 hours was 28 m².

Therefore, based on this, you can idenfity that:

1. The slope of the line is:

m=-8

2. One of the point on the line is:

(3,28)

So you must substitute the slope and the coordinates of that point into y=mx+b and then solve for "b" in order to find its value:

28=-8(3)+b\\\\28+24=b\\\\b=52

Therefore, you can determine that the function A(t) is:

A(t)=-8t+52

4 0
1 year ago
What is the common ratio between successive terms in the sequence 1.5, 1.2, 0.96, 0.768
Pani-rosa [81]

Answer:

To determine the common ratio of a geometric sequence. You just need to divide any two consecutive terms on it. You can see below that all of them have the same quotient.

1.2 / 1.5 = 0.8

0.96 / 1.2 = 0.8

0.768 / 0.96 = 0.8

.

Decimal form = 0.8

Fraction form = 4/5

.

Check:

1.5 x 0.8 = 1.2

1.5 x 4/5 = 6/5 = 1 1/5 = 1.2

Therefore, the common ratio between successive terms in the sequence? 1.5, 1.2, 0.96, 0.768 is 0.8 or 4/5.

6 0
2 years ago
Suppose that 40 batteries are shipped to an auto parts store, and that 4 of those are defective. A fleet manager then buys 8 of
Assoli18 [71]
From the given above, we will include the case in which 3 and all 4 defectives are included in the purchase. 

For 3:
                       (36C5) x (4C3) = 1507968
For 4:
                       (36C4) x (4C4) = 58905
Adding these numbers will give us an answer of 1566873.

7 0
1 year ago
Two boats depart from a port located at (–8, 1) in a coordinate system measured in kilometers and travel in a positive x-directi
miss Akunina [59]

Answer:

\left\{\begin{array}{l}y=-\dfrac{1}{9}x^2 +\dfrac{2}{9}x+\dfrac{89}{9}\\ \\y=\dfrac{1}{8}x^2 -7\end{array}\right.

Step-by-step explanation:

1st boat:

Parabola equation:

y=ax^2 +bx+c

The x-coordinate of the vertex:

x_v=-\dfrac{b}{2a}\Rightarrow -\dfrac{b}{2a}=1\\ \\b=-2a

Equation:

y=ax^2 -2ax+c

The y-coordinate of the vertex:

y_v=a\cdot 1^2-2a\cdot 1+c\Rightarrow a-2a+c=10\\ \\c-a=10

Parabola passes through the point (-8,1), so

1=a\cdot (-8)^2-2a\cdot (-8)+c\\ \\80a+c=1

Solve:

c=10+a\\ \\80a+10+a=1\\ \\81a=-9\\ \\a=-\dfrac{1}{9}\\ \\b=-2a=\dfrac{2}{9}\\ \\c=10-\dfrac{1}{9}=\dfrac{89}{9}

Parabola equation:

y=-\dfrac{1}{9}x^2 +\dfrac{2}{9}x+\dfrac{89}{9}

2nd boat:

Parabola equation:

y=ax^2 +bx+c

The x-coordinate of the vertex:

x_v=-\dfrac{b}{2a}\Rightarrow -\dfrac{b}{2a}=0\\ \\b=0

Equation:

y=ax^2+c

The y-coordinate of the vertex:

y_v=a\cdot 0^2+c\Rightarrow c=-7

Parabola passes through the point (-8,1), so

1=a\cdot (-8)^2-7\\ \\64a-7=1

Solve:

a=-\dfrac{1}{8}\\ \\b=0\\ \\c=-7

Parabola equation:

y=\dfrac{1}{8}x^2 -7

System of two equations:

\left\{\begin{array}{l}y=-\dfrac{1}{9}x^2 +\dfrac{2}{9}x+\dfrac{89}{9}\\ \\y=\dfrac{1}{8}x^2 -7\end{array}\right.

7 0
2 years ago
Read 2 more answers
A psychology student wishes to investigate differences in political opinions between business majors and political science major
Veseljchak [2.6K]
The answer is C.................................................
7 0
1 year ago
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