sat-dog

Which finding, if true, would most directly support the claim in the underlined sentence?

Data set A consists of $10$ positive integers less than $60$. The list shown gives $9$ of the integers from data set A.

$43$, $45$, $44$, $43$, $38$, $39$, $40$, $46$, $40$

The mean of these $9$ integers is $42$. If the mean of data set A is an integer that is greater than $42$, what is the value of the largest integer from data set A?

$\sqrt[5]{70n}{\left(\sqrt[6]{70n}\right)}^2$

For what value of $x$ is the given expression equivalent to ${\left(70n\right)}^{30x}$, where $n>1$?

Which of the following is a solution to the equation above?

Which choice most logically completes the text?

$f\left(x\right)=a{x}^2+4x+c$

In the given quadratic function, $a$ and $c$ are constants. The graph of $y=f\left(x\right)$ in the xy-plane is a parabola that opens upward and has a vertex at the point $\left(h,k\right)$, where $h$ and $k$ are constants. If $k<0$ and $f\left(-9\right)=f\left(3\right)$, which of the following must be true?

1. $c<0$
2. $a\ge 1$

In the xy-plane, a line with equation $2y=c$ for some constant $c$ intersects a parabola at exactly one point. If the parabola has equation $y=-2x^2+9x$, what is the value of $c$?

Which choice completes the text so that it conforms to the conventions of Standard English?

The circle above has center O, the length of arc is , and . What is the length of arc ?

In triangles $ABC$ and $DEF$, angles $B$ and $E$ each have measure $27°$ and angles $C$ and $F$ each have measure $41°$. Which additional piece of information is sufficient to determine whether triangle $ABC$ is congruent to triangle $DEF$?

Which choice completes the text so that it conforms to the conventions of Standard English?

Which choice completes the text so that it conforms to the conventions of Standard English?

Data set A and data set B each consist of $27$ values. The table shows the frequencies of the values for each data set. Which of the following statements best compares the means of the two data sets?

$f\left(x\right)=4x^2+64x+262$

The function $g$ is defined by $g\left(x\right)=f\left(x+5\right)$. For what value of $x$ does $g\left(x\right)$ reach its minimum?

The student wants to explain how the House of Wisdom preserved the world’s knowledge. Which choice most effectively uses relevant information from the notes to accomplish this goal?

Triangle above is a right triangle, and . What is the length of side ?

In triangles $LMN$ and $RST$, angles $L$ and $R$ each have measure $60°$, $LN=10$, and $RT=30$. Which additional piece of information is sufficient to prove that triangle $LMN$ is similar to triangle $RST$?

Which choice completes the text so that it conforms to the conventions of Standard English?

The expression $\left(3x-23\right)\left(19x+6\right)$ is equivalent to the expression $a{x}^2+bx+c$, where $a$, $b$, and $c$ are constants. What is the value of $b$?

Which choice completes the text so that it conforms to the conventions of Standard English?

A data set of 27 different numbers has a mean of 33 and a median of 33. A new data set is created by adding 7 to each number in the original data set that is greater than the median and subtracting 7 from each number in the original data set that is less than the median. Which of the following measures does NOT have the same value in both the original and new data sets?

One method of calculating the approximate age, in years, of a tree of a particular species is to multiply the diameter of the tree, in inches, by a constant called the growth factor for that species. The table above gives the growth factors for eight species of trees. If a white birch tree and a pin oak tree each now have a diameter of 1 foot, which of the following will be closest to the difference, in inches, of their diameters 10 years from now? (1 foot = 12 inches)

Which expression is equivalent to $\frac{4}{4x-5}-\frac{1}{x+1}$?

What does the text most strongly suggest about the site discovered by the researchers?

The function $f$ is defined by $f\left(x\right)=\left(x-6\right)\left(x-2\right)\left(x+6\right)$. In the xy-plane, the graph of $y=g\left(x\right)$ is the result of translating the graph of $y=f\left(x\right)$ up $4$ units. What is the value of $g\left(0\right)$?