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3 years ago

What instrument is used to measure mass? scale balance massometer graduated cylinder

Mathematics

2 answers:

photoshop1234 [79]3 years ago

5 0

That would be a balance.

Nesterboy [21]3 years ago

5 0

Answer:

dont care or know

Step-by-step explanation:

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Simplify the following expression 3x(x^2-5x+6)

Natalka [10]

3x^3-15x^2+18x hope it helps :-)

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3 years ago

<img src="https://tex.z-dn.net/?f=%20%5Clarge%5Cbegin%7Bbmatrix%7D%20%5Cbegin%7Barray%7D%20%7B%20l%20l%20%7D%20%7B%202%20%7D%20%

SVETLANKA909090 [29]

$\huge \boxed{\mathbb{QUESTION} \downarrow}$

$\begin{bmatrix} \begin{array} { l l } { 2 } & { 3 } \\ { 5 } & { 4 } \end{array} \end{bmatrix} \begin{bmatrix} \begin{array} { l l l } { 2 } & { 0 } & { 3 } \\ { - 1 } & { 1 } & { 5 } \end{array} \end{bmatrix}$

$\large \boxed{\mathbb{ANSWER\: WITH\: EXPLANATION} \downarrow}$

In matrix multiplication, the number of columns in the 1st matrix is equal to the number of rows in the 2nd matrix.

$\left(\begin{matrix}2&3\\5&4\end{matrix}\right)\left(\begin{matrix}2&0&3\\-1&1&5\end{matrix}\right)$

Multiply each element of the 1st row of the 1st matrix by the corresponding element of the 1st column of the 2nd matrix. Then add these products to obtain the element in the 1st row, 1st column of the product matrix.

$\left(\begin{matrix}2\times 2+3\left(-1\right)&&\\&&\end{matrix}\right)$

The remaining elements of the product matrix are found in the same way.

$\left(\begin{matrix}2\times 2+3\left(-1\right)&3&2\times 3+3\times 5\\5\times 2+4\left(-1\right)&4&5\times 3+4\times 5\end{matrix}\right)$

Simplify each element by multiplying the individual terms.

$\left(\begin{matrix}4-3&3&6+15\\10-4&4&15+20\end{matrix}\right)$

Now, sum each element of the matrix.

$\large\boxed{\boxed{\left(\begin{matrix}1&3&21\\6&4&35\end{matrix}\right) }}$

7 0

3 years ago

What is the interquartile range for the data set?

yarga [219]

To solve this problem you must apply the proccedure shown below:

1- By definition, the formula for calculate the interquartile range is

Interquartile range=Q3-Q1

Where Q1 is the lower quartile and Q3 is the upper quartile.

2-Keeping this on mind, you have:

Interquartile range=Q3-Q1

Q3=245
Q1=201

Interquartile range=245-201
Interquartile range=44

Therefore, the answer is: 44

6 0

3 years ago

To which set or sets does the number 8 belong?

KiRa [710]

I believe it is d: whole numbers, integers, and rational numbers

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3 years ago

Read 2 more answers

The figure is made up of a rectangle and parallelogram. What is the area of this figure ?

vodka [1.7K]

Answer:

26 square units

Step-by-step explanation:

Let's label the vertices of our figure first:

A = (-10, 2)

B = (-4, 2)

C = (-2, -4)

D = (1, -3)

E = (-1, 3)

F = (-7, 3)

We are drawing the line segment AE to divide our figure in parallelogram ABEF and rectangle BCDE.

The are of the figure will be the area of parallelogram ABEF plus the area of rectangle BCDE.

To find the area of ABEF, we are using the formula for the area of a parallelogram:

$A=bh$

Where

$A$ is the area

$b$ is the base

$h$ is the height

The base of our parallelogram is the side AB. remember that the height of a parallelogram is the distance between two opposite sides; the sides of our parallelogram are AB and DF, so its height is $h=3-2=1$ . Now to find the length of the base, we are using the distance formula: