there are 4 muffins on each plate . there are 0 plates of lemon muffins . how many lemon muffins are there

Which statements accurately describe the function f(x) = 3(StartRoot 18 EndRoot) Superscript x? Select three options. The domain

Studentka2010 [4]

Answer:

The domain is all real numbers.

The initial value is 3

The simplified base is $9\sqrt{2}$

Step-by-step explanation:

The given function is $f(x)=3(\sqrt{18})^x$ .

To find the initial value, we put x=0 into the function:

$f(0)=3(\sqrt{18})^0$ .

$f(0)=3(1)=3$ .

The initial value is actually 3.

The given function is an exponential function, therefore the domain is all real numbers.

The range of this function refers to all values of y for which the function is defined.

The line y=0, is the horizontal asymptote.

The range is $y\:>\:0$

The simplified base is $3\sqrt{18}=3\sqrt{9\times2}$ .

$3\sqrt{18}=3\sqrt{9}\times\sqrt{2}$

$3\sqrt{18}=3\times3\times\sqrt{2}$

$3\sqrt{18}=9\sqrt{2}$

4 0

2 years ago

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If you know that a < b, and both a and b are positive numbers, then what must be true about the relationship between the oppo

Ymorist [56]

Answer:

The number further left on a number line is the smaller number. For positive numbers, the number closest to zero is smaller. For negative numbers, the number closest to zero is larger. If a is less than b, and they are both positive, then a is closer to 0 than b. The opposite of a is also closer to zero than the opposite of b, so the opposite of a must be larger than the opposite of b.

Step-by-step explanation:

6 0

2 years ago

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In math class, Sam correctly multiplied 3.625×10-8 by 500, then reported his product in scientific notation.

Minchanka [31]

<h3><u>Question:</u></h3>

In math class, Sam correctly multiplied 3.625×10-8 by 500, then reported his product in scientific notation. What was the exponent in Sam’s product? A -16 B -10 C -7 D -5

<h3><u>Answer:</u></h3>

OPTION D

The exponent in Sam’s product is -5

<h3><u>Solution:</u></h3>

Given that,

In math class, Sam correctly multiplied $3.625 \times 10^{-8}$ by 500, then reported his product in scientific notation.

<em><u>To find: exponent in Sam’s product</u></em>

Let us first multiply 500 with $3.625 \times 10^{-8}$

$3.625 \times 10^{-8} \times 500 = 1812.5 \times 10^{-8}$

Then Sam has reported this answer in scientific notation

Lets understand what is scientific notation of any number.

Scientific notation is a way of representing number between 1 and 10 incluing 1 and excluding 10 multiplied by appropriate power of 10.

Let us rewrite the Sam's answer in scientific notation

<em><u>The format for writing a number in scientific notation is:</u></em>

(first digit of the number) followed by (the decimal point) and then (all the rest of the digits of the number), times (10 to an appropriate power).

In $1812.5 \times 10^{-8}$ , we move the decimal 3 times to left side

Since the decimal is moved left side, we multiply by $10^3$

$1812.5 \times 10^{-8} = 1.8125 \times 10^3 \times 10^{-8} \\\\1812.5 \times 10^{-8} = 1.8125 \times 10^{-5}$

Exponent is a quantity representing the power to which a given number or expression is to be raised

So in $1.8125 \times 10^{-5}$ exponent is -5

5 0

2 years ago

The number of home runs scored by a certain team in one baseball game is a random variable with the distribution x 0 1 2 P(x) 0.

DanielleElmas [232]

Answer: E(Y) = 1.6 and Var(Y)=1.12

Step-by-step explanation:

Since we have given that

X 0 1 2

P(X) 0.4 0.4 0.2

Here, number of games = 2

So, $Y=X_1+X_2$

Since $X_1\ and\ X_2$ are independent variables.

so, $E[Y]=2E[X]\\\\Var[Y]=2Var[X]$

So, we get that

$E(X)=0.4\times 0+0.4\times 1+0.2\times 2=0.8\\\\and Var[x]=E[x^2]-(E[x])^2\\\\E[x^2]=0\times 0.4+1\times 0.4+4\times 0.2=1.2\\\\So, Var[x]=1.2-(0.8)^2\\\\Var[x]=1.2-0.64=0.56$

So, E[y]=2×0.8=1.6

and Var[y]=2×0.56=1.12

Hence, E(Y) = 1.6 and Var(Y)=1.12

5 0

2 years ago

Bart recorded the amount of rain that fell in a desert in each month for one year. What was the total amount of rainfall in the

AlladinOne [14]

Answer:

A. 9.85 inches

Step-by-step explanation:

In the graph we can see that 1 month has a rainfall of 0.4 in, 2 months have a rainfall of 0.5 in, 1 month has a rainfall of 0.6 in, 2 months have a rainfall of 0.85 in, 1 month has a rainfall of 0.95 in, 2 months have a rainfall of 1.0 in, 2 months have a rainfall of 1.05 in and 1 month has a rainfall of 1.1 in.

The total amount of rainfall in the desert that year was: 0.4 + 2*0.5 + 0.6 + 2*0.85 + 0.95 + 2*1.0 + 2*1.05 + 1.1 = 9.85 inches

8 0

2 years ago