Find the function's range. Enter your answer in interval notation

An ice cream stand offers single-scoop waffle-cones or bowls. Three flavors are available: strawberry, chocolate, and vanilla. H

Otrada [13]

ANSWER:

6

STEP-BY-STEP EXPLANATION:

We have two toppings, the first is the ice cream container where there are two options and the second is the ice cream flavor where there are a total of three options.

Therefore, the number of possible ways to order ice cream would be:

$\begin{gathered} p=2\cdot3 \\ \\ p=6 \end{gathered}$

There are a total of 6 ways to order an ice cream

4 0

1 year ago

Find the equation of the line that has the given properties. Write the equation in slope-intercept form, if possible.

Black_prince [1.1K]

Answer:

y = (-1/2)x + 9/2

Step-by-step explanation:

the equation of a straight line can be written as;

y = mx + c ......1

Where;

m = slope

c = intercept

For two lines to be perpendicular their slope must be opposite reciprocal of each other.

m1 × m2 = -1 .....2

Given;

The equation Contains (3, 3); and perpendicular to the line y = 2x - 1

Slope of the given equation m1 = 2

Slope of the line m2; substituting m1 to equation 2.

2 × m2 = -1

m2 = -1/2

So,

y = (-1/2)x + c

To solve for c, let's substitute the given point on the line; (3,3).

3 = (-1/2)(3) + c

3 = -3/2 + c

c = 3 + 3/2

c = 9/2

Therefore, the equation of the line that has the given properties is;

y = (-1/2)x + 9/2

8 0

3 years ago

ACTIVITY 1

aleksklad [387]

Answer:

Question A:

1. 1/2 = 0.5 (Terminating)

2. 5/6 = 0.833333.. (Repeating)

3. 21/3 = 1.6666666.. (Repeating)

Question B:

1. 0.6 = 3/5

2. 1.25 = 5/4 = 1 1/4

3. 0.125 = 1/8

Step-by-step explanation:

A. Write the fraction or mixed number as a terminating or repeating decimal.

In order to convert a fraction into decimal, the numerator has to be divided by denominator.

1. 1/2

The answer is: 0.5 which is a terminating decimal.

2. 5/6

The answer is: 0.833333.. which is a repeating decimal.

3. 2 1/3 (assuming the question is this)

$2\frac{1}{3} = \frac{7}{6} = 1.6666666..$

The answer is 1.6666666.. which is a repeating decimal.

B. Write the terminating decimal as fraction or mixed number i n simplest form.

1. 0.6

$0.6 = \frac{6}{10} = \frac{3}{5}$

2. 1.25

$1.25 = \frac{125}{100} = \frac{5}{4} = 1\frac{1}{4}$

3. 0.125

$0.125 = \frac{125}{1000} = \frac{5}{40} = \frac{1}{8}$

Hence,

Question A:

1. 1/2 = 0.5 (Terminating)

2. 5/6 = 0.833333.. (Repeating)

3. 21/3 = 1.6666666.. (Repeating)

Question B:

1. 0.6 = 3/5

2. 1.25 = 5/4 = 1 1/4

3. 0.125 = 1/8

7 0

3 years ago

The mean diastolic blood pressure for a random sample of people was millimeters of mercury. If the standard deviation of individ

spin [16.1K]

Answer:

(85.62, 90.38).

Step-by-step explanation:

The missing data can be assumed to be we have the following information:

¯x =88, s=10, n=70

Substituting the values in the following formula, we compute the 95% C.I for true population mean diastolic pressure as shown below:

95% C.I.=¯x±t(0.95,n−1)⋅Sm=¯x±t(0.95,70−1)⋅s√n=88±1.99⋅10√70=(85.62,90.38)

The answer is (85.62, 90.38).

4 0

3 years ago

(a) What resonant frequency would you expect from blowing across the top of an empty soda bottle that is 24 cm deep, if you assu

Kryger [21]

Answer:

a) 357.29 Hz

b) 535.9375 Hz

Step-by-step explanation:

v = Velocity of sound in air = 343 m/s

l = length = 24 cm

a)

$l=\frac{1}{4}\lambda \\\Rightarrow \lambda=4l$

$f=\frac{v}{\lambda}\\\Rightarrow f=\frac{v}{4l}\\\Rightarrow f=\frac{343}{4\times 0.24}\\\Rightarrow f=357.29\ Hz$

∴ Resonant frequency is 357.29 Hz

b) Here one third is filled with soda

So, length becomes $l=24-\frac{24}{3}=16\ cm$

$f=\frac{v}{4l}\\\Rightarrow f=\frac{343}{4\times 0.16}\\\Rightarrow f=535.9375\ Hz$

∴ Resonant frequency is 535.9375 Hz

6 0

4 years ago