The solution to the system of linear equations represented by D and Dx is (x,y,z) = (5, 4, -11), which corresponds to option A.
Explanation:To solve for Dx in the given system of linear equations, we multiply matrix D by the unknowns (x, y, z). So let's assume that Dx = (x, y, z).
By comparing the results of Dx and the given matrix, we can write the system of equations as:
1x + 2y - 3z = 46; 2x - 6y + z = -41; 4x + 2y + 5z = -11.
By solving this system of equations, we can find that the solution is (x,y,z) = (5, 4, -11), which corresponds to the multiple-choice option A.
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To find the solution of the system of linear equations represented by matrices D and Dx, we need to solve the equation Dx = Dⁿⁿ. By calculating the inverse of matrix D and substituting the values of Dx, we find that the solution is (5, 7, -9).
Explanation:
To find the solution of the system of linear equations represented by matrices D and Dx, we need to solve the equation Dx = Dⁿⁿ
Let's use matrix inversion to solve for x. We know that Dx = Dⁿⁿ can be rewritten as x = Dⁿⁿ −1 Dx. To find Dⁿⁿ −1, we need to calculate the inverse of matrix D:
After calculating the inverse of matrix D, we can substitute the values of Dx into the equation x = Dⁿⁿ −1 Dx to find the solution.
Plugging in the values of Dⁿⁿ and Dx, we get x = (5, 7, -9).
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What is the surface area of a cylinder that is 5 centimeters high and has a diameter of 1.5 centimeters?
A. 7.5π cm^2
B. 8.625π cm^2
C. 10.5 π cm^2
D. 19.55π cm^2
The surface area of cylinder is 8.625[tex]\pi[/tex] [tex]cm^{2}[/tex], if the cylinder has 5 centimeters high and 1.5 cm of diameter.
Step-by-step explanation:
The given is,
Cylinder has a 5 centimeters height
Diameter of the cylinder is 1.5 centimeters
Step:1
Formula for the surface area of cylinder is,
[tex]A=2\pi r h + 2\pi r^{2}[/tex]......................................(1)
Where,
h - Height of cylinder
r - Radius of cylinder
From the values of h and r,
[tex]r=\frac{d}{2}[/tex]
= [tex]\frac{1.5}{2}[/tex]
r = 0.75 cm
From the formula,
= ( 2 × [tex]\pi[/tex] × 0.75 × 5 ) + ( 2 × [tex]\pi[/tex] × [tex]0.75^{2}[/tex] )
= ( 7.5 [tex]\pi[/tex] ) + ( 1.125 [tex]\pi[/tex] )
A = 8.625[tex]\pi[/tex] [tex]cm^{2}[/tex]
Result:
The surface area of cylinder is 8.625[tex]\pi[/tex] [tex]cm^{2}[/tex], if the cylinder has 5 centimeters high and 1.5 cm of diameter.
The surface area of a cylinder is 8.625π cm². Thus, the correct answer is B.
First, calculate the radius of the cylinder, which is half of the diameter:
r = 1.5 cm / 2
= 0.75 cm
Next, find the area of the two circular bases of the cylinder using the formula for the area of a circle, A = πr²:
Area of one base = π(0.75 cm)²
= 0.5625π cm²
Total area of the two bases = 2 × 0.5625π cm²
= 1.125π cm²
Then, calculate the lateral surface area using the formula for the circumference of a circle (C = 2πr) multiplied by the height (h):
Lateral surface area = 2π(0.75 cm)(5 cm)
= 7.5π cm²
Finally, add the areas of the two bases and the lateral surface area to find the total surface area:
Total surface area = 1.125π cm² + 7.5π cm²
= 8.625π cm²
The correct answer is B. 8.625π cm².
What are the coordinates of the image ABC after a dilation with center (0,0) and a scale factor of 1/2? HELP ASAP
Answer:
A: 1,1 B: 2,3 C;3,1
Step-by-step explanation:
Divide each number by 1/2 or times by .5
Find the area of a polygon using the given apothem
Plz anwser, will mark brainest!!
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Which description can be written as the expression 66+5?
the difference of six times a number and five
O the sum of six times a number and five
0 the quotient of six times a number and five
the product of six times a number and five
Answer:
B
Step-by-step explanation:
Solve the following equation.
5x+23=53
A) x=5
B) x=6
C) x=1
D) x=7
Answer:
6
Step-by-step explanation:
5×+23= 53
5×+23-23= 53-23
5x=30
30÷5=6
Answer:
The answer is B.
Step-by-step explanation:
The easiest way to solve these is by taking the total number/ 53 and subtracting it by the number you do know/ 23. In this case you would get 30. Then you multiply 5 to get 30. Which is 6.
test achievement series.com/asot.aspx
Alice wants her cat to lose some weight. If she wants her cat to lose weight at a rate of 2 lbs per month, which graph represents this rate of loss?
1
Cat Weight Loss
Cat Weight Loss
x
Weight (lbs)
öö
Weight (lbs)
0
5
# of Months
1 2 3 4
#of Months
Cat Weight Loss
Cat Weight Loss
L
ū8
right (lbs
ight (lbs)
Please help and explain if you can
Answer:
Step-by-step explanation:
There are two ways to find the value of m∠ ABT
By using trigonometric ratio:
1 - Draw a perpendicular AT
2 - Now the Δ ABT is a right-angle triangle. therefore by using trigonometric ratio
Sine X = Perpendicular / Hypotenuse
Sine X = AT/AB
X = Sine-1 AT/AB.
others ratio can also be used i.e cos x & tan x.
By using Circle Properties
1 - find the radius then the chord AB
can 45/5 be simplified
45/5 Simplified
What is 45/5 Simplified? - 9/1 is the simplified fraction for 45/5. Simplify 45/5 to the simplest form. Online simplify fractions calculator to reduce 45/5 to the lowest terms quickly and easily.
Simplify 45/5
Fraction:
45
------
5
45/5 Simplified
Answer:
45/5 = 9/1 = 9
Simplify 45/5
Simplify 45/5 reduces the fraction 45/5 to the lowest form. You can change the numerator or denominator to simplify any other fraction.
Last month Margo bought a tree that grows 2.5cm each day. It was 5 cm talk when she bought it and now it is 65 cm tall
A turtle challenges the greek warrior to race outside the gates of Troy. Achilles accepts. The turtle and Achilles start from the gates of Troy and race in a straight line away from the city. They keep a constant speed throughout the race. During the race, Achilles is f meters from the gates while the turtle is only g meters from the gates.
Answer:
B
Step-by-step explanation:
khan
NEED HELP ASAP! 10 points
Answer:
C. 6 gallons < 25 quarts.
E. 80 pints = 40 quarts.
Step-by-step explanation:
A. There are 8 fluid oz in 1 cup.
Multiply 8 with 6:
6 cups x 8 = 48 fl oz.
44 fl oz < 48 fl oz ∴ A. is false.
B. There are ~6.67 pints in 1 gallon.
Multiply 6 gallon with 6.67:
6 gallon x 6.67 = ~40.02 pint.
47 pint > 40.02 pint ∴ B. is false.
C. There is 4 quarts in 1 gallon.
Multiply 6 gallons with 4:
6 gallon x 4 = 24 quarts.
24 quarts < 25 quarts ∴ C. is true.
D. There is 4 cups in 1 quarts.
Multiply 7 with 4 and add 4:
7 quarts x 4 = 28 + 4 = 32
32 cups < 34 cups ∴ D. is false.
E. 1 quart = 2 pint
You are given 80 pints:
80/2 = 40 quarts ∴ E. is true.
~
What’s is the solution
4x-12y=-8
-3x+12y=12
The solution to the system of equations is x = 4 and y = 2.
Let's solve the system of equations:
4x - 12y = -8
-3x + 12y = 12
We can solve this system using the method of addition or elimination. Adding the two equations eliminates y:
(4x - 12y) + (-3x + 12y) = -8 + 12
Simplifying:
4x - 3x = 4
x = 4
Now that we have found x = 4, we can substitute this value back into one of the original equations to solve for y. Let's use the second equation:
-3x + 12y = 12
-3(4) + 12y = 12
-12 + 12y = 12
12y = 12 + 12
12y = 24
y = 24 / 12
y = 2
What is 0.05% of 400? Round to the nearest hundredth (if necessary).
Answer:
.2
Step-by-step explanation:
Whenever we see "of," we know we have to multiply.
.05% = .0005 in decimal form, so
.0005 * 400 = .2
Answer:
.2
Step-by-step explanation:
hope this helps
stay safe :)))
brainliest is appreciated
there is someone who keeps reporting my answers, copying them, and accusing me of doing it and their name is nasa619 so im sorry if that happens :((
can someone please solve this problem for me?
Answer:
5 and 7.
Step-by-step explanation:
Hey! So to start you need to create an algebraic expression. You can express this problem through the following equation:
*Note: if x is an odd integer, x + 2 is the next consecutive odd integer.
[tex]x *(x+2)=35[/tex]
Expanding, you get:
[tex]x^{2}+2x = 35.[/tex]
And moving the 35 to the other side, you get a simple quadratic.
[tex]x^{2}+2x -35 =0.[/tex]
Solving by factoring:
[tex](x+7)(x-5)[/tex]
This means two possible solutions for the smaller consecutive number are -7 and 5. However the question asks for two positive odd integers, so one of the numbers must be 5. The next will be 7(as its x + 2).
What is 9/72 in simplest form
Answer:
[tex]1/8[/tex]
Step-by-step explanation:
Step 1: Divide both top and bottom by 9
[tex](9/9) / (72/9)[/tex]
[tex](1) / (8)[/tex]
[tex]1/8[/tex]
Answer: [tex]1/8[/tex]
Answer: the answer is 1/8
Step-by-step explanation:
Ok use a Calculator to help you.
I need the answer for p
Answer:
D, a = 13
Step-by-step explanation:
A is larger than 12 and the only number bigger than 12 on that paper is 13.
An internet company, K-mobile, charges $60 per month for use of up to 100 hours but then charges $100 per month for 100 hours and more. Another company, AK & K, charges $1.50 per hour of use. When is the K-mobile a better deal?
Prove
that:
cos^3A Cos3A + sin^3A.sin 3A=cos^3 2A
Answer:
Hope it will help you..!!The scale on a map is 1 cm = 30 km. The map distance between two towns is 3.5 cm.
What is the actual distance between the two towns?
Answer:
The actual distance between the two towns is 105 km
Step-by-step explanation:
Lets use a proportion for this scenario
1/30 = 3.5/?
We see that the numerator is multiplied by 3.5, from 1 to 3.5
So we do the same to the denominator
30 x 3.5 is 105 km
So your answer is 105 km
Answer:105 km
Step-by-step explanation:hope this help u
A playground has perimeter of 5225 ft what is the perimeter in yards?
Answer:
1741.67 yards
Step-by-step explanation:
recall that 1 yard is 3 feet
or
1 foot = 1/3 yards
hence,
5225 feet = 5225 x (1/3) = 1741.67 yards
Answer: 1741.67 yards.
Step-by-step explanation:
Since 3 feet ia a yard, divided 5225 by 3. You get 1741.67. Hope this helps!
help me out please ):
Answer: i'm pretty sure the answer is B sorry if i'm not correct.
Step-by-step explanation:
Answer:
i believe its c
Step-by-step explanation:
When he was born, Cooper's
grandparents put $2,000 in a college
fund. The fund earns interest at 2.1%
compounded annually. Yesterday was
Cooper's 18th birthday. How much money
is in the account now?
A $2,907.32
C $2,756.00
B $2,838.96
D$2,698.18
how do you write 6.1 x 10^2 in standard form
The expression [tex]6.1 \times 10^2[/tex] in standard form is 610
How to write the expression in standard form
From the question, we have the following parameters that can be used in our computation:
[tex]6.1 \times 10^2[/tex]
To write [tex]6.1 x 10^2[/tex] in standard form, we need to convert it into a regular number.
using the above as a guide, we have the following:
[tex]6.1 * 10^2 = 6.1 * 100[/tex]
Evaluate
[tex]6.1 * 10^2 = 610[/tex]
Hence, the expression in standard form is 610
Mrs. McAlister wrote the equation 10 t minus 4 t + 3 t = 8 on the board and asked students to write an equivalent equation. The table below shows the responses from four students.
Student Responses
Michele
3 t = 8
Piotr
6 t = 8
Ronnie
Negative 1 t = 8
Tanisha
9 t = 8
Which student wrote an equation that is equivalent to Mrs. McAlister’s?
Michele
Piotr
Ronnie
Tanisha
Answer:
Tanisha wrote an equation that is the same as Mrs. McAlister's equation.
9t = 8
Step-by-step explanation:
Mrs. McAlister wrote an equation on the board is:
10t-4t+3t=8
Now we simplify this
In order to simplify the left side, we combine like terms.
Here 10t, -4t, & 3t are like terms
So, 10t - 4t + 3t is equivalent to 9t
Thus,
9t = 8
This equation is written by the Tanisha.
That's the final answer.
I hope it helps you.
Answer:
Tanisha
Step-by-step explanation:
10t - 4t + 3t = 8 (given)
= 10t - 4t + 3t = 8
= 9t = 8
This is what Tanisha wrote (9t = 8)
Hope this helps, and please mark me brainliest if it does!
Convert 5/4 into minutes
Answer:
75 minutes
Step-by-step explanation:
1 /4 = 15 minutes
15 x 5 = 75
hope i helped
The temperature at the top of a mountain is 10.8°C less than the
temperature at the base of the mountain. If the temperature at the
base is -4.4°C. what is the temperature at the top? *
Answer:
-15.2°C
Step-by-step explanation:
-4.4 - 10.8 = -15.2
Hope this helps <3
The temperature at the top of the mountain is -15.2°C.
The solution to the problem:
Given:
The temperature at the base of the mountain is -4.4°C.
The temperature at the top of the mountain is 10.8°C less than the temperature at the base of the mountain.
Objective:
Determine the temperature at the top of the mountain.
Solution:
Let x be the temperature at the top of the mountain. We know that the temperature at the top of the mountain is 10.8°C less than the temperature at the base of the mountain, so we can write the following equation:
x = -4.4 - 10.8
Simplifying the right side of the equation, we get:
x = -15.2°C
Help please, if you're a troll then don't come on here.
Answer:
If there are 16 pounds in one ounce, and you have 96 ounces then you must divide 96 by 16. That would mean there are 6 pounds in 96 ounces.
Step-by-step explanation:
So to answer the blocks you must divide the number of ounces by the unit rate. There are 16 ounces per pound.
Organizar de menor a mayor las fracciones 1/2 1/4 ,3/4,,1
Answer:
1/4, 1/2, 3/4, 1
Answer: 1/4,1/2.3/4,1
Step-by-step explanation:
1/4=0.25
1/2=0.50
3/4=0.75
1=1
Plzz ANSWER FAST AS SOON AS POSSIBLE!!!
Answer:
See below for answers
Step-by-step explanation:
Part 1:
Angle 1 is a supplementary angle, so it must be 180-50=130 degrees because supplementary angles add up to 180 degrees.
Angle 2 is a vertical angle, therefore it must be 50 degrees as well because vertical angles are congruent.
Angle 3 is vertical to angle 1, so it is 130 degrees since vertical angles are congruent.
Part 2:
x and 2x+21 are supplementary angles, so we can make an equation:
x+2x+21=180
3x+21=180
3x=159
x=53
So x=53
Answer:
1 = 130
2 = 50
3 = 130
4 = x = 53
Step-by-step explanation:
angle 2 is congruent to 50 degrees
1 and 3 are congruent
1 and 2 are supplementary
3x+21 = 180
3x = 159
x = 53
what’s the size of the missing angle
Answer:
Option D, 44
Step-by-step explanation:
Step 1: Find the size of the missing angle
All triangles add up to 180 degrees.
[tex]106 + 30 + x = 180[/tex]
Step 2: Combine like terms
[tex](106 + 30) + x = 180[/tex]
[tex]136 + x = 180[/tex]
Step 3: Subtract 136 from both sides
[tex]136 + x - 136 = 180 - 136[/tex]
[tex]x = 44[/tex]
Answer: Option D, 44
Answer:
44
Step-by-step explanation:
106 + 30 = 136
180 - 136 = 44