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4 years ago

Please answer all question correctly for brainliest and 5 star!

Mathematics

1 answer:

Flura [38]4 years ago

3 0

Anyway, in case it helps $\bf \begin{array}{llll}
\textit{volume of a right-circular cylinder}\\\\
V=\pi r^2 h\\
---------------\\
\textit{volume of a right-circular cone}\\\\
V=\cfrac{\pi r^2 h}{3}
\end{array}\qquad 
\begin{cases}
h=height\\
r=radius
\end{cases}$

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Number 1. The science club went on a two-day field trip. The first aid the members paid $60 for transportation plus $15 per tick

tekilochka [14]

If x is the number of students on the field trip:
60 + 15x + 95 + 12x

5 0

4 years ago

Write each quadratic expression in standard form. Draw a diagram if needed. (x+4)(x-1)

12345 [234]

Answer:

The standard form of the quadratic equation is x² + 3·x - 4 = 0

Step-by-step explanation:

The standard form of a quadratic equation is a·x² + b·x + c = 0

Given that the expression of the quadratic equation is (x + 4)·(x - 1) = y, we can write the given expression in standard form by expanding, and equating the result to zero as follows;

(x + 4)·(x - 1) = x² - x + 4·x - 4 = x² + 3·x - 4 = 0

The standard form of the quadratic equation is x² + 3·x - 4 = 0

The graph of the equation created with MS Excel is attached

4 0

3 years ago

What is the reciprocal of 2/7? A. - 3 1/2 B. - 2/7 C. 5/7 D. 3 1/2

vaieri [72.5K]

The answer is B. The actual reciprocal is 7/2, since the answer means isn't there its means the reciprocal of the negative or positive sign

4 0

3 years ago

The sum of two numbers is 2490 and if 6.5 percent of one no. is equal to 8.5 percent of the other, then numbers are ?? Make sure

lions [1.4K]

Answer:

The two number are :

x = 1411

y = 1079

Step-by-step explanation:

Let the two numbers = x and y

The sum of two numbers is 2490

x + y = 2490..... Equation 1

If 6.5 percent of one no. is equal to 8.5 percent of the other,

Hence:

6.5% of x = 8.5% of y

0.065x = 0.085y

Make x the subject of the Formula

x = 0.085y/0.065

x = 1.308y

We substitute 1.308y for x Equation 1

x + y = 2490..... Equation 1

1.308y + y = 2490

2.308y = 2490

y = 2490/2.308

y = 1078.8561525

y = 1079

x + y = 2490..... Equation 1

x = 2490 - y

x = 2490 - 1079

x = 1411

6 0

3 years ago

The first two terms of a sequence are 5 and 7. Each term after the second is found by taking the average (arithmetic mean) of al

ch4aika [34]

Answer:

Step-by-step explanation:

We can prove that every number after the second will be a six by induction.

Base case. Since $\frac{5 + 7}{2} = 6$ , so the third term is a six.

Inductive hypothesis. Fix the number of terms to be n and assume that

$\frac{1}{n} \sum\limits_{i=1}^{n}t_i = 6$

Inductive step. We will now show that $\frac{1}{n+1} \sum\limits_{i=1}^{n+1}t_i = 6$ .

Notice that

$\begin{array}{lll}\frac{1}{n+1} \sum\limits_{i=1}^{n+1}t_i & = \frac{n}{n(n+1)} \sum\limits_{i=1}^{n+1}t_i & \\& = \frac{t_{n+1}}{n+1} + \frac{n}{n(n+1)} \sum\limits_{i=1}^{n}t_i &\\& = \frac{t_{n+1}}{n+1} + \frac{6n}{n+1} & \text{(by the IH)}\\& = \frac{6}{n+1} + \frac{6n}{n+1} & \text{by de\\finition}\\& = \frac{6(n+1)}{n+1} & \\& = 6 & \end{array} \square$

6 0

3 years ago