Answer:
The value of a=4
Step-by-step explanation:
Given the matrix
[tex]B=\begin{pmatrix}1\:&\:2\:\\ \:\:\:2\:&\:a\end{pmatrix}[/tex]
A matrix is singular if its determinent is zero.
so solving the matrix B by taking its determinant to get the value a
[tex]\det \begin{pmatrix}1&2\\ 2&a\end{pmatrix}=0[/tex]
as according to determinant formula
[tex]\det \begin{pmatrix}a\:&\:b\:\\ c\:&\:d\:\end{pmatrix}\:=\:ad-bc[/tex]
[tex]1\cdot \:a-2\cdot \:2=0[/tex]
[tex]a-4=0[/tex]
[tex]a=4[/tex]
Therefore, the value of a=4
What is 15% of 40?
02
О 4
05
06
Answer:
6
Step-by-step explanation:
Multiply 40 by 15%, or 0.15.
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[tex] \frac{15}{100} \times 40 = \\ [/tex]
[tex] \frac{15 \times 40}{100} = \\ [/tex]
[tex] \frac{600}{100} = 6 \\ [/tex]
Thus 15% of 40 is 6 .
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A rectangular prism has dimensions of 2 cm by 2 cm by 5 cm. What is its surface area? Explain also and thanks if anyone answers my question!
Answer:
The surface area is 48cm^2
Step-by-step explanation:
Given
Dimension: 2cm by 2cm by 5cm
Shape: Rectangular Prism
Required
Determine its Surface Area (A)
This is calculated as thus:
[tex]A = 2(lw + lh + hw)[/tex]
Where l, w and h are the dimensions of the given shape:
We can say:
[tex]l = length = 2cm[/tex]
[tex]w=width = 2cm[/tex]
[tex]h=height=5cm[/tex]
So:
[tex]A = 2(2 * 2 + 2 * 5 + 5 * 2)[/tex]
[tex]A = 2(4 + 10 + 10)[/tex]
[tex]A = 2(24)[/tex]
[tex]A = 2 * 24[/tex]
[tex]A = 48[/tex]
Hence, the surface area is 48cm^2
Use a system of linear equations with two variables and two equations to solve.
205 students enrolled in a freshman-level chemistry class. By the end of the semester, 4 times the number of students passed as failed. Find the number of students who passed, and the number of students who failed.
Answer:
passed: 164
failed: 41
Step-by-step explanation:
Let the failed students be x, then the passed students will be 4x.
x + 4x = 205
x = 205/5 = 41
4x = 4*41 = 164
May u please help me ill give out the brainly
Answer:
24x+18y+10
Step-by-step explanation:
start by distributing so 6*4x and 6*3y
that give you 24x+18y+10
Distributive property is a property of equality?
- True
-False
Answer:
Its True
Step-by-step explanation:
What is the measure of /__B? Type the number only
Answer: I believe it would be 30
Step-by-step explanation:
A=X
B=Y
C=Z
A long year-end status report for work is 81 pages long. You need to print 12 copies for a meeting next week. How much is the paper going to cost for those reports? Paper is sold in reams (500 pages) for $3.96 each.
Give your answer to the nearest cent, only for the paper you use (partial reams are OK)
Answer:
770cents
Step-by-step explanation:
If a report is 81 pages long, 12 copies will be (81 * 12)pages long
12copies = 972 pages long
If 500 pages costs $3.96 each
972 pages will cost $x
Cross multiply
500x = 972 * 3.96
500x = 3,849.12
x = 3,849.12/500
x = 7.69824
Hence the cost of the reports is $7.69824
Convert to cents;
$1 = 100cents
$7.69824 = y
y = 7.69824 * 100
y = 769.824 cents
y ≈ 770 cents (to the nearest cent.)
Hence the paper is going to cost 770cents (to the nearest cent)
Which statement is most likely to show a constant rate of change???
A. The outside temp compared with the time of day.
B. The cost of a new car compared with the number of tires it has.
C. The weight of a child compared with its age in months.
D.The distance traveled by a truck driving at a constant speed compared with time.
I believe you answer would be D) The distance traveled by a truck driving at a constant speed compared with time.
YALLLLL PLEASE HELP MEEEEEEEEEEEEEEE I WIIIL MAKR BRANLIEST IF CORRECT!!!!!!!!
Write an equation in slope intercept whose slope is 5 and y intercept is -3
Answer:
y=5x-3
Step-by-step explanation:
it just is
Answer:
y=5x-3
Step-by-step explanation:
Help me Please 20 POINTS
When two variables are in a proportional relationship, which of the following is true about
1 their values.
2 their sums are a constant
3 their differences are a constant
4 their products are a constant
5 their quotients are a constant
Answer:
(5)
for eg;
3/5 is proportional to 15/25
Answer:
I would say 1 or 4
Step-by-step explanation:
Proportional relationships are relationships between two variables where their ratios are equivalent. Another way to think about them is that, in a proportional relationship, one variable is always a constant value times the other. That constant is know as the "constant of proportionality".
Glenda placed $1900 in a savings account which compounds interest continuously at a rate of 2.4%. How much will she have in the account after 2 years?
Answer: $1,992
Step-by-step explanation: :)
If (4,-3) is the midpoint of the line segment ST and the coordinates of S are (1,5), find the
coordinates of T.
Answer:
[tex](7,-11)[/tex]
Step-by-step explanation:
Given
[tex]S = (1,5)[/tex]
[tex]M = (4,-3)[/tex]
Required
Determine the coordinates of T
Midpoint is calculated as:
[tex]M(x,y) = \frac{1}{2}(x_1 +x_2,y_1+y_2)[/tex]
Where:
[tex](x,y) = (4,-3)[/tex]
[tex](x_1,y_1) = (1,5)[/tex]
Substitute these values in the above formula:
[tex](4,-3) = \frac{1}{2}(1 + x_2,5+y_2)[/tex]
Multiply through by 2
[tex]2 * (4,-3) = 2 * \frac{1}{2}(1 + x_2,5+y_2)[/tex]
[tex](8,-6) = (1 + x_2,5+y_2)[/tex]
By direct comparison:
[tex]1 + x_2 = 8[/tex] and [tex]5 + y_2 = -6[/tex]
Solving for x2
[tex]1 + x_2 = 8[/tex]
[tex]x_2 = 8 - 1[/tex]
[tex]x_2 = 7[/tex]
Solving for y2
[tex]5 + y_2 = -6[/tex]
[tex]y_2 = -6 - 5[/tex]
[tex]y_2 = -11[/tex]
Hence, the coordinates of T is: [tex](7,-11)[/tex]
1. Express 0.00456 in standard form.
Answer:
Writing a number in standard form simply means to express the number in its 'normal' form. Therefore, your example is written in standard form.
Answer: 4.56 x 10^-3
Step-by-step explanation: To convert scientific notation to standard form, all you have to do is move the decimal to the left or the right until you get a number that is more than 1 and less than 10, then count however many spaces you had to move and add that as your exponent over 10 (if you move left, the exponent is positive, and right is negative). Basically, this just lets you know that the actual number is that many times smaller or larger than the number in your answer.
pleaseee I need help
Answer:
whith whut
Step-by-step explanation:
what is an equation of the line that passes through the points (-2,-7) and (-1,-3)
Answer:
y=4x+1
Step-by-step explanation:
First you need to solve for slope using the equation:
y2-y1/x2-x1
It doesn't matter what point is 1 or what point is 2. Lets just say that (-2,-7) is point 1, and (-1,-3) is point 2.
(-3)-(-7)/(-1)-(-2)=-4/-1=4
Next you find the y-intercept. To do this you can plug in plug in everything we know into the equation: y=mx+b, and solve for b.
(Lets use point one)
-7=4(-2)+b
-7=--8+b
1=b
Last we can put it all together.
y=4x+1
Find the missing angle.
200
180
A
100
B
50
SO
D) 70
Answer:
the answer is c) 80
all angles of the Triangle will have a sum of 180. 80+20=100 ... 180-100= 80
Write a division problem that has a quotient of 12.
At least one of the numbers you give must be a proper fraction. The other can be a proper fraction, whole number, or
improper fraction. Neither the dividend nor the divisor can be 12.
The time to failure (in hours) of fans in a personal computer can be modeled by an exponential distribution with l=0.0003
a. What proportion of the fans will last at least 10,000 hours?
b. What proportion of the fans will last at most 7000 hours?
Answer: 0.0497870 ; 0.87754
Step-by-step explanation:
Given that :
λ = 0.0003
Defining a continuous distribution function :
F(x) = 1 - e^-λx = 1 - e^-0.0003x ; x ≥ 0
a. What proportion of the fans will last at least 10,000 hours?
P(x ≥ 10000) = e^-0.0003(10000) = 0.0497870
b. What proportion of the fans will last at most 7000 hours?
P(x ≥ 7000) = 1 - p(x ≤ 7000) = 1 - e^-0.0003(7000)
1 - 0.12245642825 = 0.87754
Anna is x years old, her sister Jane is y years younger. What will the sum of there ages be in 3 years. SORRY IM DUMB
You are not dumb. No one is dumb. Einstein failed math in high school.
Anna is x years old.
Jane is y years younger.
This means the Jane is x - y years old.
In three years, Anna will be x + 3 years old.
In three years, Jane will be (x - y) + 3 years old.
Let S = the sum of their ages in 3 years.
S = x + 3 + (x - y) + 3
S = 2x + 6 - y
Got it?
What is: 7x + 1.8 + 2.2 = 30
Step-by-step explanation pls! :)
YALLL PLEASE HELP ME I WILL MARK BRANLIEST IF CORRECT PLEASE HELP!!!!!!!!
Write an equation in point slope form for the line that goes through the point (2,3) and has a slope of 4.
Answer:
y=4x-5
Step-by-step explanation:
y=Mx+b
y=4x+b
3=4(2)+b
3=(8)+b
-5=b
Please help me with this as soon as you can. I have no idea how to do it so please help me.
Answer:
x=10
Step-by-step explanation:
The lines the angles are on are 180 degrees so
(11x+23) + (7x-23)= 180
Let's rearrange them first
11x+7x + 23-23=180
Combine the like terms
18x + 0=180
Remove the 0
18x=180
Then divide 18 on each side
x=10
Negative 3/5 ×17 5/8=
Answer:
-10.575
Step-by-step explanation:
Write 1270 in expanded form using exponents
Step-by-step explanation:
Answer:
[tex]1.270[/tex] × [tex]10^{3}[/tex]
I hope this helps!
Stanley drove a race car an average speed of 120 miles per hour for 3 minutes. How far did Stanley drive the race car?
Answer:
6 miles
Step-by-step explanation:
3 minutes = 1/20 of an hour
120 miles x 1/20 of an hour = 6 minutes
Doug rents a kayak for 12 days. The rental charge is $18 per day. Which is the
best estimate for the total cost of the kayak rental?
Answer:
Yes
Step-by-step explanation:
if four out of 10 people vote then in a town with 200,00 people how many will vote
Answer:
80,000
Step-by-step explanation:
You see all you have to do is find out what 200,000 divided by 10 is : 20,000 then multiply that by four leaving you with a answer of 80,000.
what is 58+67÷34×21-34
Help I will give brainliest
3
. (-3, 5); y = *-4
Write an equation passing through the point and the perpendicular to the given line
Answer:
the line perpendicular: x=-3
Step-by-step explanation: