Each element of the matrix are multiplied by the scalar to form a matrix of
same size as the original matrix in matrix scalar multiplication.
[tex]60 \cdot A = \left[\begin{array}{ccc}240\4&360&480\\360&480&600\end{array}\right][/tex]Reasons:
The matrix A is presented as follows;
[tex]A = {\left[\begin{array}{ccc}4&6&8\\6&8&10\end{array}\right]}[/tex]
Using the multiplication of a matrix and a scalar, we have;
[tex]60 \cdot A = 60 \cdot \left[\begin{array}{ccc}4&6&8\\6&8&10\end{array}\right] = \left[\begin{array}{ccc}60 \times 4&60 \times 6&60 \times 8\\60 \times 6&60 \times 8&60 \times 10\end{array}\right] = \left[\begin{array}{ccc}\mathbf{240}&\mathbf{360}&\mathbf{480}\\\mathbf{360}&\mathbf{480}&\mathbf{600}\end{array}\right][/tex]
Therefore;
[tex]60 \cdot A = \left[\begin{array}{ccc}240\4&360&480\\360&480&600\end{array}\right][/tex]
Learn more about matrices here:
https://brainly.com/question/14296012
you are going to wash a large glass window in a shape of a trapezoid. The lenghts of the bases of the window are 10 feet and 14 feet. the height is 8 feet. you can wash 6 square feet of the window in 1 minute. how long will it take you to wash the entire window
Answer:
16 minutes
Step-by-step explanation:
First we are going to want to find the area of the window. We then divide that by the amount of area you can wash per minute ( 6 square feet )
So first lets find the area.
We are told that the window is in a shape of a trapezoid.
The area of a trapezoid can be calculated using the formula A = [tex]\frac{a+b}{2} h[/tex]
Where a and b are the base lengths and h is the height
We are told that the length of the bases are 10 ft and 14ft so a and b = 10 and 14. We are also told that the window has a height of 8 so h = 8 .
We then plug these numbers into the formula to find the area
Recall formula: [tex]A=\frac{a+b}{2} h[/tex]
a = 10 , b = 14 and h = 8
plug in these values into formula
[tex]A=\frac{10+14}{2} 8[/tex]
add 10 and 14 to get 24
[tex]A=\frac{24}{2} 8[/tex]
simplify fraction : 24 / 2 = 12
[tex]A=(12)(8)[/tex]
multiply 12 and 8 to get 96.
A = 96 square feet.
To find how long it would take to wash the window we divide the total area of the window by the amount of area that can be washed per minute
Total area of window = 96
Area that can be washed per minute = 6
Time it would take to wash the whole window = 96 / 6 = 16 minutes
what is -150 + -12 =?
Answer:
-162
Step-by-step explanation:
Answer:
your answer is -162
Step-by-step explanation:
if you owe someone 150 dollars and then you owe them another 12 dollars you'll owe them a total of 162 dollars. Your losing 162 dollars which is -162 form the amount that you have
my Christmas present to you
Answer:
THX santa
Step-by-step explanation:
If Jenny can read 7 books in 8 days, exactly how many days would it take her to read 20 books?
Answer:
23 daysStep-by-step explanation:
Given,
No. of days taken by Jenny to read 7 books
= 8
So,
No. of days taken by her to read 1 book
[tex] = \frac{8}{7} [/tex]
Therefore,
No. of days taken by her to read 20 books
[tex] = \frac{8}{7} × 20 [/tex]
[On Simplification][tex] = \frac{160}{7} [/tex]
[On dividing]= 22.85.....
[On approximating]= 23 days (approx. )
Hence,
Jenny will take 23 days to read 20 books (Ans)
If Jenny can read 7 books in 8 days, exactly how many days would it take her to read 20 books?
Answer:-22.85714 or 23 days
Explanation:-[tex]GIVEN,[/tex]
Number of books Jenny can read in 8 days = 7
[tex]NOW,[/tex]
Number of days taken by Jenny to read 1 book = [tex] \frac{8}{7} [/tex]
Number of days taken by her to read 20 books =
→ [tex]20 \times \frac{8}{7} [/tex]
→ [tex] \frac{160}{7} [/tex]
→ 22.85714 or 23 days
Write a multiplication equation that corresponds to each division equation.
10 divided by 5 =
4.5 divided by 3 =
3 ½ divided by 4
Answer:
1. 10/1×1/5
2.5/1×1/3
3.1/2×1/4
Step-by-step explanation:
to turn it into a multiplication problem, turn the second fraction into its reciprocal (flip the numerator and denominator )
Solve for x when 4x+16/12=x-4
Answer:
In short, Your Answer would be either 1 or 7
Step-by-step explanation:
|4x + 12| = 16
As it is in modulus function, it could be either +ve or -ve
4x+12 = 16 OR 4x - 12 = 16
4x = 16-12 OR 4x = 16 + 12
4x = 4 OR 4x = 28
x = 4/4 OR x = 28/4
What is another way to write the calculation add 16 and 25, and then multiply by 47?
Answer:
(16+25)×47
Step-by-step explanation:
..........
Can someone please help me with this question
m11=54°
m8=117°
m7=63°
Step-by-step explanation:
a) m2=m12 (corresponding angles)
m12=126°
180=m12+m11 (supplementary angles equal 180)
180=126+m11
m11=54°
b) m14=m8. (corresponding angles)
m8=117°
C) m7=180-m8 (supplementary angles equal 180)
m7=180-117
m7=63°
Read aloude The price of a cell phone was reduced from $450 to $225. By what percentage was the price of the cell phone reduced?
Answer:
50% 250x2=450
Step-by-step explanation:
Answer:
50%
Step-by-step explanation:
$225 x 2 = 450
this means the cell phones price was reduced by 50%
glad to help ;)
It takes violet 3/5 hour to paint a chair. How much of the chair will be finished after 1/3 hour? Plz answer this plzzzzz!!
Factorise
3-x^2
Someone answer this question please
Answer:
No factors.
3 - x^2 is prime.
Step-by-step explanation:
Name three equal ratios from the graph
250:10
125:5
100:4
Step-by-step explanation:
ratio of y to x
Question 6 of 12
✓ 49
A. 8
O O
B. 14
C. 7
SUBMIT
Answer:
C. 7
Step-by-step explanation:
7 · 7 = 49
I hope this helps!
Write the slope-intercept form of the equation with the given point and slope. Through (2,5) and m=1/2
Answer:
y=1/2x+4
Step-by-step explanation:
y-y1=m(x-x1)
y-5=1/2(x-2)
y=1/2x-2/2+5
y=1/2x-1+5
y=1/2x+4
Note that the slope-intercept form is y=mx+b where m=slope and b=y-intercept.
If you're satisfied with the answer, then please mark me as Brainliest. Thank you.
The population of a city, y, in thousands of people, measured x years after 1800 can be modeled by the regression equation
y = 187.6/1 + 29.4e^-0.03x
Which statement best interprets a value in the equation?
The city population in 1800 was 187,600 people.
The city population grows by 29,400 people per year.
The limiting value of the city population is 29,400 people.
The limiting value of the city population is 187,600 people.
Answer:
D. The limiting value of the city population is 187,600 people.
Step-by-step explanation:
I'm honestly not sure, but it's based on the 187.6 on top of the equation. Correct on Edge 2021
Question 34, the answer is C. I just need the working. Tysm
Answer:
C
Step-by-step explanation:
∠ ABC = 90° ( angle in a semicircle )
Using the cosine ratio in right triangle ABC and the exact value
cos30° = [tex]\frac{\sqrt{3} }{2}[/tex] , then
cos30° = [tex]\frac{adjacent }{hypotenuse}[/tex] = [tex]\frac{AB}{AC}[/tex] = [tex]\frac{10}{AC}[/tex] = [tex]\frac{\sqrt{3} }{2}[/tex] ( cross- multiply )
AC × [tex]\sqrt{3}[/tex] = 20 ( divide both sides by [tex]\sqrt{3}[/tex] )
AC = [tex]\frac{20}{\sqrt{3} }[/tex] × [tex]\frac{\sqrt{3} }{\sqrt{3} }[/tex] ( rationalising denominator )
AC = [tex]\frac{20\sqrt{3} }{3}[/tex]
radius AO = [tex]\frac{1}{2}[/tex] AC = [tex]\frac{1}{2}[/tex] × [tex]\frac{20\sqrt{3} }{3}[/tex] = [tex]\frac{10\sqrt{3} }{3}[/tex] → C
what is the equation
Answer:
y = -2x+9
Step-by-step explanation:
To figure out equations of tile patterns simply count the initial value and the rate of change, then convert it into (slope intercept form) which is
y = mx+b
In this case the rate of change is -2x because each figure loses 2 blocks as it goes.
You can also see the the initial figure 1 has 9 blocks so this is our constant
With this information we can create the equation y = -2x+9
m = -2
x = x
b = 9
If more aid is needed a simple search of (Visual Pattern - Writing an Equation and Creating a Table) will help you with a video easily.
HOPE I MADE YOU SMILE!!
Answer:
ok points
Step-by-step explanation:
Answer:
Thank You so much.....You made me smile lol :DIn a hypothetical economy, current inflation-adjusted economic output is rising and is expected to continue rising in the coming months. This economy is currently in the___
peak stage of the business cycle
trough stage of the business cycle
contraction stage of the business cycle
expansion stage of the business cycle
The economic output is rising and is expected to continue rising in the coming months, the economy is currently in the expansion stage of the business cycle.
The business cycle consists of the following stages which changes with time;
Expansion stage: continuous rise in economic output.Peak stage: maximum economic output.Contraction (recession) stage: a continuous decline in economic output.Trough stage: the point of lowest economic output.Thus, when the economic output is rising and is expected to continue rising in the coming months, the economy is currently in the expansion stage of the business cycle.
Learn more about business cycle here: https://brainly.com/question/904465
Graph: y = 3 * x + 5
Answer:
2
Step-by-step explanation:
take the 3 put on the side
which multiplication can be used to explain the solution to 15 divided by one over 3
Answer:
3x5=15
5x3=15
Step-by-step explanation:
Someone plz help ToT
The scale factor is 1.5 because:
9 x 1.5 = 13.5
5 x 1.5 = 7.5
Foundations in Algebra: Probability Assignment
1. Andrew claims:
A spinner has 4 sections -
red, yellow, green, and blue.
The probability of getting the
red section is 0.25.
Is he correct? Explain your answer fully:
I
Answer:
yes a 1/4 probability is 0.25
Is it a expression 3x - 7
Answer:
It’s an expression.
Step-by-step explanation:
An expression is technically an equation but without the answer.
Answer:
yes
Step-by-step explanation:
The difference between an equation and an expression is that an equation as an equals sign. An equation shows that 2 expressions are equal to each other.
Expression:
[tex]3x-7[/tex]
Equation:
[tex]3x-7=5y[/tex]
A truck is 2000 kg and has a cargo load of 1000 kg. Its speed is 50 km/h. The momentum for the truck and cargo is
Answer:
The momentum for the truck and cargo is 150000 kg·km/h
Step-by-step explanation:
p = mv
p = (2000 kg + 1000 kg)(50 km/h)
p = (3000 kg)(50 km/h)
p = 150000 kg·km/h
convert 3 3/4 into a improper fraction
Answer:
3 3/4 = 15/4
Step-by-step explanation:
To turn a mixed number into an improper fraction, multiply the whole number with the denominator of the proper fraction. Add the numerator of the proper fraction to this product to obtain the numerator of the improper fraction.
Hoped this helped.
2) If it is 12° outside and the temperature is going to -7° drop 19º. What will the new temperature be?
Answer:
69 degrees
Step-by-step explanation:
yeah
An item is regularly priced at $70. It is on sale for 20% off the regular price. How much (in dollars) is discounted from the regular price?
Amount discounted:?
Answer:
$14 discount$56 discounted priceStep-by-step explanation:
The amount of the discount is ...
20% of $70 = 0.20·$70 = $14 . . . discount
The discounted amount is ...
$70 -14 = $56 . . . discounted price
How is the key event in this paragraph illustrated?
Leon has to drive 36 miles to work. If he can average a speed of 48 miles per hour, about how long does it take him to get to work each day? (Hint: Use the formula d = rt.)
1. a quarter of an hour
2. three-fourths of an hour
3. half an hour
4. more than an hour
Answer:
i think the answer is 45 mins sorry if im wrong