Write 3.764x10^-5<br> in standard notation.

Find the taxable income of a married couple with two children, who have a combined income of $75,000.

Dima020 [189]

Answer:

$47,200

Step-by-step explanation:

Given :

The total income of a married couple = $75,000.

Number of children = 2

Therefore to find the taxable income of a U.S. family is given by the following formula ---

taxable income = total income- exemption deduction - standard deduction

We know that exemption deduction for a U.S couple as fixed by the government is $15,600.

And the standard deduction for a U.S couple as fixed by the government is $12,200.

Thus in order to find the taxable income of the couple, use the formula

taxable income = total income- exemption deduction - standard deduction

= $75,000 - $15,600 - $12,200

= $47,200.

Thus the taxable income is $47,200.

8 0

3 years ago

Dakota has four tents kilogram of clay he divided the clay to make eight equal size pots how many grams of clay are in each pot

sukhopar [10]

Answer:
There are 2.22 grams of clay are in each pot.
Step-by-step explanation:
Given:
Dakota has 4/10 kg of clay. He divides the clay to make 888 equal-sized pots.
Now, to find the number of grams of clay are in each pot.
Dakota has clay =
So, by using conversion factor we convert it into grams:

Quantity of clay he has = 400 grams.
Number of equal-sized pots to make = 888.
Now, to get the quantity of grams of clay are in each pot we divide number of equal-sized pots to make by quantity of clay he has:
Therefore, there are 2.22 grams of clay are in each pot.

5 0

3 years ago

Drag the phrases into the box to match each expression.

JulijaS [17]

Answer:

3 /4 x+ 1 /2 one-half more than three-fourths of a number

3/ 4 − 1 /2 x three-fourths minus one-half of a number

3/ 4 −(x+ 1/ 2 ) three-fourths minus the sum of a number and one-half

7 0

3 years ago

Write and equation for the shift of the parent graph y=1/x

SashulF [63]

You can think of this equation as $\bf f(x)=\cfrac{1}{x}\implies f(x)=(x)^{-1}$

and thus apply the transformations to it as such

$\bf \qquad \qquad \qquad \qquad \textit{function transformations}
\\ \quad \\\\
% left side templates
\begin{array}{llll}
f(x)=&{{ A}}({{ B}}x+{{ C}})+{{ D}}
\\ \quad \\
y=&{{ A}}({{ B}}x+{{ C}})+{{ D}}
\\ \quad \\
f(x)=&{{ A}}\sqrt{{{ B}}x+{{ C}}}+{{ D}}
\\ \quad \\
f(x)=&{{ A}}(\mathbb{R})^{{{ B}}x+{{ C}}}+{{ D}}
\\ \quad \\
f(x)=&{{ A}} sin\left({{ B }}x+{{ C}} \right)+{{ D}}
\end{array}\\\\
--------------------\\\\$

$\bf \bullet \textit{ stretches or shrinks horizontally by } {{ A}}\cdot {{ B}}\\\\
\bullet \textit{ flips it upside-down if }{{ A}}\textit{ is negative}
\\\\
\bullet \textit{ horizontal shift by }\frac{{{ C}}}{{{ B}}}\\
\left. \qquad \right. if\ \frac{{{ C}}}{{{ B}}}\textit{ is negative, to the right}\\\\
\left. \qquad \right. if\ \frac{{{ C}}}{{{ B}}}\textit{ is positive, to the left}\\\\$

$\bf \bullet \textit{ vertical shift by }{{ D}}\\
\left. \qquad \right. if\ {{ D}}\textit{ is negative, downwards}\\\\
\left. \qquad \right. if\ {{ D}}\textit{ is positive, upwards}\\\\
\bullet \textit{ period of }\frac{2\pi }{{{ B}}}$

1) D = 2, C = +3

2) D = -12, C = -2

3) C = +6, D = 3

4) C = -7, D = -7

7 0

3 years ago

Write an expression for the number of yards in f feet

koban [17]

1 yard = 3 feet

Then the to find the number of feet in a number of yards use the conversion factor, 1 = 3 feet / yard

number of feet = number of yards * 3 feet/yard

If the number of feet is f and the number of yards is y, you can write the expression in this way:

f = 3y

3 0

3 years ago

Write 3.764x10^-5 in standard notation.