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kherson [118]
3 years ago
8

NEED HELP FAST PLEASE.

Mathematics
1 answer:
weeeeeb [17]3 years ago
3 0
1. 285.7 ft^2

2. 1536 cm^2

I hope this helps. :)
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Complete the description of the piecewise function graphed below. Use interval notation to indicate intervals.
Gemiola [76]

Answer:

{ -2 if x ∈ -4 < x < -3

{ -5 if x ∈ -3 ≤ x < 2

[ 5 if x ∈ 2 ≤ x < 5    

Step-by-step explanation:

From the graph, we have;

{ -2 if x ∈ -4 < x < -3

For the next inequality line at y = -5, we have;

1) The inequality line, starts with an open circle on the left at x = -3, which is equivalent to less than or equal to symbol, ≤ as -3 ≤ x because the point x =-3 is the left boundary.  The inequality line extends to the point x = 2, where we have a closed circle (on the right), which is equivalent to a x ≤ 2 with the 2 on the right hand side because, the 2 is the right boundary of the inequality

2) The inequality can be summarized as starting from x = -3 extends to x = 2

3) As stated in point 1) the point x = 3, we have -3 ≤ x and at point x = 2, we have x ≤ 3 which can be combined as  -3 ≤ x < 2, to give;

{ -5 if x ∈ -3 ≤ x < 2

For the next inequality line at y = 5, we have;

1) The inequality line, starts with an open circle on the left at x = 2, which is equivalent to less than or equal to symbol, ≤ as 2 ≤ x because the point x =2 is the left boundary.  The inequality line extends to the right to reach point x = 5, where we have a closed circle (on the right), which is equivalent to a x ≤ 5 inequality, with the 5 on the right hand side because, the 5 is the right boundary of the inequality

2) The inequality can be summarized as starting from x = 2 extends to x = 5

3) As stated in point 1) the point x = 2, we have 2 ≤ x and at point x = 5, we have x ≤ 5 which can be combined as  2 ≤ x < 5, to give;

[ 5 if x ∈ 2 ≤ x < 5.

7 0
3 years ago
An angle measures 6° less than the measure of a complementary angle. what is the measure of each angle?
Sauron [17]
A and 90-a is the measure of the two angles

a=90-a-6
2a=84
a=42
42° and 48°
3 0
3 years ago
The circular opening of an ice cream cone has a diameter of 7 centimeters. The height of the cone is 10 centimeters. What is the
Nataly [62]

We have been given that the circular opening of an ice cream cone has a diameter of 7 centimeters. The height of the cone is 10 centimeters. We are asked to find the volume of the ice cream cone in cubic centimeters.

We will use volume of cone formula to solve our given problem.

V=\frac{1}{3}\pi r^2h, where,

r = Radius

h = Height.

We know that diameter is two times the radius, so radius of cone would be half the diameter that is \frac{7}{2} cm.

V=\frac{1}{3}\pi\cdot (\frac{7}{2}\text{ cm})^2\cdot 10\text{ cm}

V=\frac{1}{3}\pi\cdot \frac{49}{4}\text{ cm}^2\cdot 10\text{ cm}

V=\frac{490\pi }{12}\text{ cm}^3

V=128.2817\text{ cm}^3

Upon rounding to nearest tenth, we will get:

V\approx 128.3\text{ cm}^3

Therefore, the volume of the cone would be approximately 128.3 cubic cm.

8 0
3 years ago
Find the P-value for the hypothesis test with a standardized test statistic z. Decide whether toreject the null hypothesis for t
iren2701 [21]

Answer:

1.) We don't reject the null

2.) We reject the Null

3.) We do not reject the null

Step-by-step explanation:

Obtaining p values using test statistic:

Given that ; we have a standardized test statistic and α - values ;

Let's define the decision region :

If Pvalue < α ; Reject H0 ; otherwise, fail to reject H0

A.)

Left tail , Z = - 1.32 ; α = 0.10

We can use the Pvalue calculator from Z score :

Pvalue = 0.934

Pvalue > α ; Hence, we fail to reject the null, H0

B.)

Right-tailed test, z = 2.46, α = 0.01

Pvalue from Zscore calculator ;

Pvalue = 0.0069

Pvalue < α ; Hence, we reject the null, H0

C.)

Two-tailed test, z = -1.68, α = 0.05

Pvalue from Zscore calculator ;

Pvalue = 0.093

Pvalue > α ; Hence, we fail to reject the null, H0

6 0
3 years ago
Find the solution to the system of equations below
djverab [1.8K]

Answer:

(4,7)

Step-by-step explanation:

7 0
2 years ago
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