QUESTION 1Given a n x m matrix A and m X p matrix B, if AB = 0 then A = 0 or B = 0.TrueFalseQUESTION 2Given an xm matrix A,an n x n identity matrix I, exists such that I, A = Al, = A.TrueFalse

Step-by-step explanation:

fraction of page of photograph is 3/32

(1/2÷4)*3/4

1/2*1/4*3/4

1/8*3/4

=3/32

The required table, which represents the relationship between the total time y and the number of rides x,
x         y[min]
1          3
2         6
3         9

proportionality is defined as between two or more sets of values, and how these values are related to each other in the sense are they directly proportional or inversely proportional to each other.

Here,
Let,
Total time of ride a roller is directly proportional to the number of rides, x
y = kx
where k is the rate constant,
put y = 12 and x = 4
12 = 4k
k = 3
Now,
y = 3k
From the above expression, a table can be deduced.

Thus, the solution is given in the table as.
x         y[min]
1          3
2         6
3         9

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Given data:

The given figure of the triangle.

The expression for the area of the triangle is,

Thus, the arres of the given triangle is 80.5 sq-yds.

EXPLANATION

In this photo should be 5+5+1+1=12 people.

The answer is 12 people.

The percent of decrease, for the amount of flour, is 56.63%.

A percentage is a number that tells us how much out of 100.

Given that, at the beginning of a baking session, there were 2.26 kilograms of flour in the bag, by the end if the baking session, there was 0.98 kilograms of flour in the bag

The amount percentage left = (2.26 - 0.98)/2.26*100 = 56.63%

Hence, The percent of decrease, for the amount of flour, is 56.63%.

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A monomial is an expression with a single term. A binomial is an expression with 2 terms.

Looking at the given question,

a. 3y is a single term. Thus, it is a monomial

b. - 9 + h. The expression has two terms. It means that it is a binomial

c. Wr + 5wr is also a binomial

d. -7agh is a monomial

e. 2 is a monomial

f. k + 12 is a binomial

Solution:

Starting point = (4, -12)

Length = units

Along the y axis, the endpoints could be

(4, -7) and (4, -17)

Along the x- axis, the endpoints could be

(9, -12) and (-1, -12).

The answer is (4, -7), (4, -17), (9, -12), (-1, -12).

Answer:

= -6

Step-by-step explanation:

Substitute it in:

3(3-5)

Calculate the difference:

3(-2)

Then multiply to get an answer:

= -6

Answer:

===========================

We know parallel lines have equal slopes, so line r has the slope of - 1.

Line r is:

Substitute the coordinates of the point into this equation and find the value of b:

The equation of line r is:

we have the expression

step 1

squared 4 before multiplying

therefore

step 1 is incorrect

Justine's work is incorrect

Answer:

[tex] \huge{ \boxed{gof(3) = 9}}[/tex]

Step-by-step explanation:

In order to find gof(3), we first have to find gof(x). To find gof(x) substitute the f(x) into g(x). That is, for every x found in g(x) substitute it by f(x).

From the question

[tex]f(x) = 2 {x}^{2} - x - 15 \\ g(x) = - 5x + 9 \\ \\ gof(x) = - 5(2 {x}^{2} - x - 15) + 9 \\ gof(x) = - {10x}^{2} + 5x + 75 + 9 \\ \\ gof(x) = - {10x}^{2} + 5x + 84[/tex]

To find gof(3), substitute the value of x that is 3 into gof(x). For every x found in gof(x), replace it by 3 and solve.

[tex]gof(3) = - 10( {3})^{2} + 5(3) + 84 \\ \quad \: \: \: \: \: = - 10(9) + 15 + 84 \\ \: \: \: = - 90 + 15 + 84 \\ = 9[/tex]

We have the final answer as

Answer: it would be about 1:30pm

Step-by-step explanation:

Given that

We can find the measurement of angle B by getting the cosine inverse/arccos of 0.2536, which is calculated as follows

The problem requires that our answer is in the nearest tenth, hence, rounding off 75 to the nearest tenth, we get 80 degrees. Therefore, angle B has a measurement of 80 degrees.

Additional note that when computing such a problem, the calculator must be in terms of degrees, not radians.

Let b be the number of students that were in each bus, since 111 students were on the trip, 23 students rode in cars, and the rest filled 4 buses, then we can set the following equation:

Subtracting 23 from the above equation we get:

Dividing the above equation by 4 we get:

Answer: 22 students.

The value of x = 1,  y=7

From the question, we have

4x + 5y = 39 .............(i)

3x – 2y = − 11 ...........(ii)

multiply equation (i) by 2, we get

8x + 10y = 78 .............(iii)

multiply equation (ii) by 5, we get

15x – 10y = −55 .............(iv)

adding equation (iii) and equation (iv), we get

23x = 23

x = 1

substituting the value in equation (iii),  we get

y = 7

Addition:

When we say "the addition," we mean adding two or more numbers together. The plus sign (+) denotes addition of two numbers, therefore three is written as three plus three. You also have control over how often the plus sign (+) is used. such as 3 + 3 + 3 + 3. Mathematical addition is an essential part of children's education. Students learn basic addition sums in primary school, including one-digit facts, math addition sums, and double-digit math addition sums. Sums in addition are one of the most fundamental and fascinating Math concepts for elementary school students. Children first learn fundamental mathematical ideas like adding numbers in their early years because math is an enthralling subject.

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Answer:

63 days

Explanation:

Given the total number of days in a yesr = 180 days

Percent of the time he walks to school = 35 %

Number of days he walks to school = 35% of 180

Number of days he walks to school = 0.35 * 180

Number of days he walks to school = 63 days

Hence the number of days he walked to schools is 63 days

Answer:

h(x)

Step-by-step explanation:

y-intercept is shorthand for  ' y - axis intercept'

the graph which intercepts the y-axis the highest is   h(x)

The required solution of the linear equation is x = 6.

What is linear equation?

A linear equation is a first-order (linear) term plus a constant in the algebraic form y=mx+b, where m is the slope and b is the y-intercept. Sometimes, the aforementioned is referred to as a "linear equation of two variables," where x and y are the variables.

Given [tex]\frac{3x}{2} - \frac{2x}{3}=5[/tex]

[tex]\frac{3x}{2} - \frac{2x}{3} = 5\\ \Rightarrow \frac{9x-4x}{6} = 5\\ \Rightarrow \frac{5x}{6} = 5\\\Rightarrow 5x = 30\\\Rightarrow x = 6[/tex]

Therefore, the required solution of the linear equation is x = 6.

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Answer:

[tex]\sf \dfrac{1}{2} \pi \;\overline{TM}[/tex]

Step-by-step explanation:

The angle at the circumference in a semicircle is a right angle.

Therefore, as  [tex]\sf \overline{OS}[/tex]  is the diameter of circle T, and point Q is on the circumference of the circle:

Therefore, if m∠MTN = m∠SQO then:

Angles around a point sum to 360°.

As 90° is one quarter of 360°, the measure of arc MN is one quarter of the circumference of circle T.

The circumference of a circle is 2πr, where r is the radius.

Therefore:

[tex]m\sf \overset{\frown}{MN}=\dfrac{2 \pi r}{4}=\dfrac{1}{2} \pi r=\dfrac{1}{2} \pi \;\overline{TM}[/tex]

Answer: The answer would be $15.50 per basketball

Step-by-step explanation:

If mike bought 4 basketball for 62 dollars you have to divide 62 and 4. Which equals 15.5 so in dollars it would be 15 dollars and 50 cents or $15.50.

Answer: Width = 3.4 meters, Length = 6.4 meters

Step-by-step explanation:

If the width is [tex]w[/tex], then the length is [tex]w+3[/tex].

[tex]w(w+3)=22\\\\w^2 +3w=22\\\\w^2 +3w-22=0\\ \\ w=\frac{-3 \pm \sqrt{3^2 -4(1)(-22)}}{2(1)}\\\\w \approx 3.4 \text{ } (w > 0)\\\\\implies w+3 \approx 6.4[/tex]

Given the following question:

Natural numbers are positive integers.

5 is a natural number

Whole numbers are integers, neither fraction or decimals just integers.

5, and 0 are whole numbers

Integers are a set of numbers that can be expressed without being a fraction/decimal.

-1, 5, and 0 are integers.

Rational numbers are a set of numbers that can be written as fractions.

-1, 5, 1/2, 5/7, 0, 76/77, 1.27 are all rational numbers they can all be expressed as a fraction.

(zero is also rational)

Irrational numbers cannot be expressed as a fraction

√2, √8,

Real numbers are numbers that include rational and irrational numbers.

-1, 5, 1/2, 5/7, 0, 76/77, -1.27, √2, √8

Answer:

12

Step-by-step explanation:

Rewrite 16 as 4 ^ 2...

[tex]\sqrt[3]{4^2}[/tex]

Pull terms out from under the radical, assuming positive real numbers...

3 x 4

Multiply 3 by 4...

12

Hope this helps! :)

Answer:

2 pounds is the correct answer because 2 tons would be to much for any human to hold / wear

Answer:

5 is the number

Step-by-step explanation:

2x + 12 = 22

2x+12-12 = 22-12

2x = 10

2x÷2 = 10÷2

x=5

Plug x back in the equation and check the answer.

2(5)+12 = 22

10+12 = 22

22=22

It checks out!

Answer:12

Step-by-step explanation:

Answer:

The sum of the angles is 180°.

We already know that one angle is 90°, and the other one is 38.

so: 180-(90+38)=52°

the exterior angle+52°= 180° (beacuse the form a flat angle)

so x=180-52

so: x=128°.

Answer:

128°

Step-by-step explanation:

We know that,

   the exterior angle of a triangle is equal to the sum of the interior opposite angles of a triangle.

Accordingly,

38 + 90 = x

128° = x

(a,b) = coordinate of point A , (2c,d) = coordinate of point C , slope of AD and BC = [tex]\frac{b}{a-c}[/tex]

A set of values ​​representing the location of a point on the coordinate plane using horizontal and vertical distances from two reference axes. Often expressed as (x,y), where the x value and

As per the midpoint formula

we have points P(x1,y1)  and Q (x2, y2)

Now  mid point of line PQ is

[tex]x = \frac{x1+x2}{2} , y =\frac{y1+y2}{2}[/tex]

Here,  the mid point of line joining  R(0,0) and S(2a,2b)

By midpoint formula, coordinates of point A

[tex]x = \frac{0 + 2a}{2} =a , y = \frac{0+2b}{2} = b[/tex]

so

coordinate of point A is (a,b)

[tex]Also, C. is \\ the midpoint of line joining \\T (2c,2d) and V(2c,0)[/tex]

coordinate of point C is given by

[tex]x = \frac{2c+2c}{2} = 2c, y = \frac{2d+0}{2} = d[/tex]

so we have

(2c,d) = coordinate of point C

it is given that coordinate of point B is (a+c, b+d) and coordinate of D is (c,0)

If we have points P(x1,y1)  and Q (x2,y2)

then the slope of PQ =[tex]\frac{y2-y1}{x2-x1}[/tex]

hence slope of AD= [tex]\frac{0-b}{c-a}[/tex]

                                =[tex]\frac{b}{a-c}[/tex]

and slope of BC  =[tex]\frac{d-(b+d)}{2c-(a+c)} \\[/tex]

                           =[tex]\frac{b}{a-c}[/tex]

both of the ,slope of AD and slope of BC are same  = [tex]\frac{b}{a-c}[/tex]

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Answer: the formula is 5,6,7,8,9,10 every step plus one

Step-by-step explanation:

1+5 =6

6+6=12

12+7=19

19+8=27

27+9=36