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cestrela7 [59]
3 years ago
10

4. (03.06 MC)

Mathematics
1 answer:
bazaltina [42]3 years ago
8 0

Step-by-step explanation:

Volume of a cylinder is:

V = πr²h

V = (3.14) (4 in)² (5 in)

V = 251.2 in³

Volume of a cone is:

V = ⅓ πr²h

V = ⅓ (3.14) (4 in)² (15 in)

V = 251.2 in³

The volumes are equal.

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Based on the family the graph below belongs to, which equation could represent the graph?
lord [1]

<u>Answer-</u>

<em>Equation 1</em><em> is the equation which represents the graph.</em>

<u>Solution-</u>

From the graph it can be noticed that, the function is a hyperbola. It is a rectangular hyperbola.

The general form of rectangular hyperbola is,

xy=c^2

Where c is a constant.

Equation 1 represents a function of rectangular hyperbola, with vertical asymptote as x=-2 .

Equation 2 represents an exponential function.

Equation 2 represents an cubic function.

Equation 2 represents logarithmic function.

Therefore, equation 1 is the equation which represents the graph.

7 0
3 years ago
Read 2 more answers
What are the zeros of the function f(x) = x2 + 5x + 5 written in simplest radical form?
Pavel [41]

\boxed{x_{1}=\frac{-5 + \sqrt{5}}{2}} \\ \\ \\ \boxed{x_{2}=\frac{-5 - \sqrt{5}}{2}}

<h2>Explanation:</h2>

Using the quadratic formula:

x=\frac{-b \pm \sqrt{b^2-4ac}}{2a} \\ \\ \\ Here: \\ \\ f(x) = x^2 + 5x + 5 \\ \\ \\ So: \\ \\ a=1 \\ \\ b=5 \\ \\ c=5 \\ \\ \\ x=\frac{-5 \pm \sqrt{5^2-4(1)(5)}}{2(1)} \\ \\ x=\frac{-5 \pm \sqrt{25-20}}{2} \\ \\ x=\frac{-5 \pm \sqrt{5}}{2} \\ \\ \\ Two \ solutions: \\ \\ \boxed{x_{1}=\frac{-5 + \sqrt{5}}{2}} \\ \\ \\ \boxed{x_{2}=\frac{-5 - \sqrt{5}}{2}}

<h2>Learn more:</h2>

Quadratic functions: brainly.com/question/12164750

#LearnWithBrainly

8 0
3 years ago
Write the solution to the given inequality in interval notation.
DIA [1.3K]

Option A:  $[4, \infty)$ is the solution

Explanation:

The solution of the given inequality is the set of all the possible values of x.

The graph shows the number line in which the shaded region is from the right of -4 and the arrow of solution goes to infinity.

Also, There is a closed circle at the point -4.

This means that -4 is included in the solution set.

The solution to the inequality is the set of all the real values which are greater than or equal to -4.

Thus, the solution is x ≥ -4

Hence, the solution is $[4, \infty)$

4 0
3 years ago
Dwain is out shopping and finds a $110.00 scooter that is
Vsevolod [243]

Answer:

$55

Step-by-step explanation:

1) since we are taking 50% of the price of lets find 50% of 110

so 0.50*110=55

50% of 110 is 55 hence we can subtract 55 from 110(since its getting marked down)

110-55=55

$55 is the new price

Hope this helps!

8 0
3 years ago
In a​ poll, 22​% of 714 surveyed adults said that . What is the actual number of adults who said that
Eva8 [605]

Answer:

<h2> 157 surveyed adult </h2>

Step-by-step explanation:

IF 22% of 714 surveyed adult made a statement, the actual number of those that made the statement can be gotten by simply evaluating 22% of 714 as shown below;

= 22% of 714

= 22/100 * 714

= (22*714)/100

= 15708/100

= 157.08

≈ 157 surveyed adult

<em>This means that about 157 surveyed adults made the statement. </em>

7 0
4 years ago
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