Answer:
The answer is the first matrix. Image attached.
Step-by-step explanation: Given that Dante is solving the system of equations:
In solving the above system of equations, Dante writes the row echelon form of the matrix. We are to select the correct row echelon of the matrix that he wrote.
We know that a matrix is said to be in row echelon form if the leading entry in each nonzero row is a 1 and each column containing a leading 1 has zeros everywhere else.
In the given options, these conditions are satisfied by the first option only. And also, if we write the solution from this matrix, we will have
r = -1, s = 0 and t = 3.
If we substitute these values in the given system, it will get satisfied.
Thus, the first matrix, attached herewith, is the correct matrix.
PLEASE ANSWER ASAPPP!! Will get brainliest
Answer:
y=-2x+2
Explanations:
the slope is -2 and the y-intercept is (0,2)
8. A cube container, with original volume 64 in. 3, is being redesigned to increase
its capacity. The expression x + 64 in. ? models the volume of the new cube.
If the volume can increase by a maximum of 100 in. 3, what is the maximum
measurement of the edge of the larger cube, rounded to the nearest tenth?
The volume of the cube container is the amount of space in it, and the maximum measurement of the edge of the larger cube is 5.5 inches
How to determine the maximum edge of the larger cube?The volume of the container is given as:
V = 64 cubic inches
When it increases by a maximum of 100 cubic inches, the new volume becomes
V = 164 cubic inches
The volume of a cube container is calculated using:
V = l³
Where l represents the edge length of the cube
Substitute 164 for V
l³ = 164
Take the cube root of both sides
l = 5.5
Hence, the maximum measurement of the edge of the larger cube is 5.5 inches
Read more about volumes at:
https://brainly.com/question/1972490
A student made two patterns to show multiplication of a decimal by powers of ten. The equations shown for both patterns are incorrect.
Pattern A
3.675. 10 = 3.6750
3.675. 100 = 3.67500
3.675 • 1,000 = 3.675000
Pattern B
3.675.0.1 = 3.0675
3.675.0.01 = 3.00675
3.675 . 0.001 = 3.000675
The correct solving of the decimal shows that 3.675 × 10 = 36.750, 3.675 × 100 = 367.5 and 3.675 × 1,000 = 3675.
How to solve the decimals?From the information given, it should be noted the students calculations are incorrect. Therefore, 3.675 ×10 = 3.6750, 3.675 × 100 = 3.67500 and 3.675 × 1,000 = 3.675000 are incorrect.
In this case, when multiply by raise to power 10, it's important to shift the decimal based on the number being raised to power.
Therefore, 3.675 × 10 = 36.750, 3.675 × 100 = 367.5 and 3.675 × 1,000 = 3675.
Learn more about decimals on:
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please help gotta get this gradae up
Answer:
its Y (bottom left graph)
Step-by-step explanation:
i graphed the function on desmos and matched it
i really need the help with this multiple choice question for geometry.
Answer:
A. 50°
Step-by-step explanation:
The external angle ACB created by tangents CA and CB is the supplement of arc AB it intercepts.
∠ACB = 180° -AB
∠ACB = 180° -130°
∠ACB = 50°
please help in math!! no links please
Answer:
[tex]\orange{ \rule{100pt}{999999pt}}[/tex]
What is the reason for statement 3 in the proof below?
Given: ABCD is a parallelogram
Prove:
Answer: Alternate interior angles theorem
Step-by-step explanation:
Solve for x. Leave your answer in the simplest radical form.
Image down below!
Please help! Brainlist and points
Answer:
x = 53.15
Step-by-step explanation:
use Pythagoras theorem
first find for the triangle that has both sides given and then solve for the other
Charlotte wants to use a sheet of fiberboard 34 inches long to create a skateboard
ramp with a 20° angle of elevation from the ground. How high will the ramp rise
from the ground at its highest end? Round your answer to the nearest tenth of an
inch if necessary.
Using the slope concept, it is found that the rarmp will rise 12.4 inches at it's highest end.
What is a slope?The slope is given by the vertical change divided by the horizontal change, and it's also the tangent of the angle of depression.
In this problem, the horizontal change is of 34 inches with an angle of 20º, hence:
[tex]\tan{20^\circ} = \frac{h}{34}[/tex]
h = 34 x tan(20º)
h = 12.4.
The rarmp will rise 12.4 inches at it's highest end.
More can be learned about the slope concept at https://brainly.com/question/18090623
Answer:I just got it wrong the answer is 11.6
Step-by-step explanation:
Find the volume of the following. Show your work
Answer:
the #1 one is about 307.88 & the #2 on is 100.53
Step-by-step explanation:
Answer:
308 in³, 101 in³ (from left to right)
Step-by-step explanation:
Volume of cylinder= πr²h, where r is the radius and h is the height.
Cylinder on left
radius= 7 in
height= 2 in
Volume
= π(7²)(2)
= 98π
= 308 in³ (3 s.f.)
Cylinder of right
radius= 4 in
height= 2 in
Volume
= π(4²)(2)
= 32π
= 101 in³ (3 s.f.)
if a quadratic in x is greater than zero for all values of x, then can it have real roots?
Answer:
There's no real roots
Answer:
No.
Step-by-step explanation:
The graph will not cut the x-axis.
13
3. It's About Time, in Langley, British
Columbia, is Canada's largest custom clock
manufacturer. They have a grandfather
clock that, on the hours, chimes the
number of times that corresponds to the
time of day. For example, at 4:00 p.m., it
chimes 4 times. How many times does the
clock chime in a 24-h period?
9. A training program requires a pilot to fly
Using an arithmetic sequence, it is found that the clock chimes 132 times in a 24-h period.
What is an arithmetic sequence?In an arithmetic sequence, the difference between consecutive terms is always the same, called common difference d.
The nth term of an arithmetic sequence is given by:
[tex]a_n = a_1 + (n - 1)d[/tex]
In which [tex]a_1[/tex] is the first term.
The sum of the first n terms is given by:
[tex]S_n = \frac{n(a_1 + a_n)}{2}[/tex]
In this problem, as the day is divided in two 12-hours period, the total will be twice the sum of the 12 elements of the following sequence:
{0, 1, 2, 3, ..., 11}
In which [tex]a_1 = 0, a_11 = 11, n = 12[/tex].
Then:
[tex]T = 2\frac{12(0 + 11)}{2} = 12 \times 11 = 132[/tex]
The clock chimes 132 times in a 24-h period.
More can be learned about arithmetic sequences at https://brainly.com/question/6561461
Classify each of the following angles as acute, obtuse, right,straight, or reflex.
Answer:
1. Acute, because it is less than 90 degrees or less than a right angle.
2. that is obtuse because it is bigger than 90 degrees
3. acute, because it is less than 90 degrees.
Answer:
1. Acute 2. Obtuse 3. Acute
Step-by-step explanation:
1 and 3's angles are smaller than 90 degrees. 2 is obtuse because its angle is larger than 90 degrees.
What is the Evaluate 5^3+6x3
Answer:
33 Is your answer :)
Step-by-step explanation:
Always do P.E.M.D.A.S ( always go in order it gives you) parenthesis, exponets, multiply/divide, and add/subtract
5^3+6*3=
15+18= 33
If tanx = 0.75, find the value of
i. cos2x + sin2x
2tanx
ii.
for 0° < x < 90°
C0Sx-sinx
-
Answer:
i. 31/25
ii. 1/5
Step-by-step explanation:
you know that tanx = 3/4, so you can also find that sinx = 3/5 and cosx = 4/5. Then you can use the double angle identities to find cos2x and sin2x: cos^2(x) - sin^2(x) + 2sinxcosx and substitute the givens to get 31/25. Then, cosx - sinx is obviously 1/5.
Write an equation in slope-intercept form of the line that passed through (-3,4) and (1, 4).
Show work
Answer:
y = 4
Step-by-step explanation:
Use slope intercpet form: y = mx + b
Aluminum can have a capacity of 2.32 L. How many milliliters of soup can it hold? Helpfull tip (1 L = 1,000 mL)
Answer:
2320 mLStep-by-step explanation:
Convert the volume from L to mL according to capacity of the can.
2.32 L = 2.32 * 1000 mL = 2320 mLAnswer:
2320 milliliters
Step-by-step explanation:
1 liter = 1000 milliliters
If the can has a capacity of 2.32 liters, then to calculate how many milliliters it can hold, we need to multiply it by 1000:
⇒ 2.32 liters = 2.32 × 1000
= 2320 milliliters
**To multiply a number by 1000, simply move the decimal point 3 places to the right**
Solve the following inequality for s. Write your answer in simplest form.
-10 + 5(78 + 8) < - 4s +3 - 8
[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]
Let's solve ~
[tex]\qquad \sf \dashrightarrow \: - 10 + 5(78 + 8) < - 4s + 3 - 8[/tex]
[tex]\qquad \sf \dashrightarrow \: - 10 + 5(86) < - 4s - 5[/tex]
[tex]\qquad \sf \dashrightarrow \: - 10 +430 < - 4s - 5[/tex]
[tex]\qquad \sf \dashrightarrow \: 420 + 5 < - 4s [/tex]
[tex]\qquad \sf \dashrightarrow \: 42 5 < - 4s [/tex]
[tex]\qquad \sf \dashrightarrow \: 42 5 \div 4 < - s [/tex]
[tex]\qquad \sf \dashrightarrow \: 106.25 < - s [/tex]
Inequalities change when it is multiplied by -ve number
[tex]\qquad \sf \dashrightarrow \: - 106.25 > s [/tex]
Richard worked 14 hours this week. He also got a bonus of $50. If he made a total of 232, how much does he get paid per hour.
What is the degree of the polynomial?
1
2
4
6
Answer:
The answer is 6.
Step-by-step explanation:
The degree is the largest exponent on the variable. And in this case the answer is 6.
The area of the figure is
square units?
Answer:
8 squared units
Sorry if this answer is not correct, if it is or is not, please tell me in the comments!
Step-by-step explanation:
Rectangle:
To find the area of the rectangle, we need to mutiply the base and the height. 3 units(base) x 2 units(height) = 6 squared units
Triangle:
To find the area of the triangle is very similar to finding the area of the rectangle. We need to multiply the base and the height and divide it by 2.
Base= 2 units(since it is a rectangle, the opposite side is the same length)
Height = 2 units
Next, we plug it in to this formula: 1/2 bh (b = base and h = height)
multiplying by one half is the same as dividing by 2
The area of the triangle is 2 x 2 = 4
4 divided by 2 = 2 squared units
For the final step, we add the areas together. (6+2 = 8) the label is very important (squared units)
Which of these could be the lengths of right triangle abc
A) 4,3,7
B) 5,7,12
C) 6,8,10
D) 7,8,15
Answer: C
Step-by-step explanation:
This is a Pythagorean triple.
only question 6 and 7 please answer fast I need it now ty
Answer:
6. $62.74 7.$331
Step-by-step explanation:
6. The original cost= $119.5
After 30% of discount = (70/100)× 119.5
= $83.65
After 25% discount = (75/100)× 83.65
= $62.74
7. Original cost= 679
Price after 35% discount = (65/100)×679=$441.35
Price after 25% discount = (75/100)× 441.35
=$331
So the final price will be = $331
identify the equation of the graph.
2x+3y=6
2x-3y=6
2x-3y=-6
2x+3y=-6
Can someone solve this so that i can confirm that I’m doing it right?
Answer:
Below in bold.
Step-by-step explanation:
x /18 = 12/10
10x = 18*12
x = 216/ 10
= 21.6.
10/w = 18/24
10/w = 3/4
3w = 40
w = 40/3 = 13 33 to the neaest hundredth.
Aiden invested $43,000 in an account paying an interest rate of 9 1/4 % compounded monthly. Hailey invested $43,000 in an account paying an interest rate of 8 7/8% compounded continuously. To the nearest dollar, how much money would Aiden have in his account when Hailey's money has doubled in value?
first off let's change the mixed fractions to improper fractions, and let's Hailey's account first.
[tex]\stackrel{mixed}{9\frac{1}{4}}\implies \cfrac{9\cdot 4+1}{4}\implies \stackrel{improper}{\cfrac{37}{4}} ~\hfill \stackrel{mixed}{8\frac{7}{8}}\implies \cfrac{8\cdot 8+7}{8}\implies \stackrel{improper}{\cfrac{71}{8}} \\\\[-0.35em] ~\dotfill[/tex]
[tex]~~~~~~ \textit{Continuously Compounding Interest Earned Amount} \\\\ A=Pe^{rt}\qquad \begin{cases} A=\textit{accumulated amount}\dotfill &\stackrel{43000(2)}{\$86000}\\ P=\textit{original amount deposited}\dotfill & \$43000\\ r=rate\to \frac{71}{8}\%\to \frac{~~ \frac{71}{8}~~}{100}\dotfill &0.08875\\ t=years \end{cases} \\\\\\ 86000=43000e^{0.08875\cdot t}\implies \cfrac{86000}{43000}=e^{0.08875t}\implies 2=e^{0.08875t}[/tex]
[tex]\ln(2)=\ln(e^{0.08875t})\implies \log_e(2)=\log_e(e^{0.08875t})\implies \ln(2)=0.08875t \\\\\\ \cfrac{\ln(2)}{0.08875}=t\implies 7.81\approx t[/tex]
ok, now we know how long it takes for Hailey's money to double, how much money does Aiden have by then?
[tex]~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$43000\\ r=rate\to \frac{37}{4}\%\to \frac{~~ \frac{37}{4}~~}{100}\dotfill &0.0925\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{monthly, thus twelve} \end{array}\dotfill &12\\ t=years\dotfill &\frac{\ln(2)}{0.08875} \end{cases}[/tex]
[tex]A=43000\left(1+\frac{0.0925}{12}\right)^{12\cdot \frac{\ln(2)}{0.08875}}\implies A=43000\left( \frac{4837}{4800} \right)^{\frac{12\ln(2)}{0.08875}}\implies \boxed{A\approx 88311}[/tex]
notice, in Hailey's amount we used the logarithmic value for "t", just to avoid any rounding issues.
The sum of two trinomials is 7x2 - 5x + 4. if one of the trinomials is 3x2 + 2x - 1, then what is the other trinomial?
a.
10x2 - 3x + 3
b.
4x2 - 7x + 5
c.
10x2 + 7x + 5
d.
4x2 - 3x + 3
Answer:
b. 4x^2 -7x +5
Step-by-step explanation:
When you know a sum and one of its contributors, you can find the other by subtraction. The other trinomial is ...
(7x^2 -5x +4) - (3x^2 +2x -1)
= (7 -3)x^2 +(-5 -2)x +(4 -(-1))
= 4x^2 -7x +5 . . . . . matches B
please help me asap...
Answer:
First one.
Step-by-step explanation:
Quantity is usually the best way to know people's preference, that's why Family Feud asks 100 people for their question's answers. This answer may be wrong, since this question is a bit due to opinion. Hope this helps! <3
The first four terms of a geometric sequence are 2, 6, 18 and 54.
What is the 8th term?
4374
Step-by-step explanation:
We are multiplying by 3 each time
2*3 = 6
6*3 =18
18*3 = 54
The formula is
an = 2 * 3^(n-1) where n is the term number
a8 = 2 * 3^(8-1)
a8 = 2 * 3^7
a8 = 2*2187
a8 = 4374
Answer:
4374
Step-by-step explanation:
First term, a =2
Common ratio, r = 3
nth term = a.r^(n-1)
where , n is the number of terms
8th term = 2.(3)^(8–1)
=2(2187)
=4374
⇒ A geometric progression, sometimes termed a geometric sequence, is a series of integers in which each term after the first is determined by multiplying the preceding one by a fixed, non-zero value known as the common ratio.
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Answer:
Area of polygon = 42.63 mm²
Step-by-step explanation:
Given:
L = 8.7 mmW = 4.9 mmTo find the area of the polygon (rectangle), multiply the length with the width.
⇒ Area of polygon = LW
Substitute the values into the area:
⇒ Area of polygon = (8.7)(4.9) [L = 8.7 mm; W = 4.9 mm]
⇒ Area of polygon = 42.63 mm²
As it's a rectangle
Area:-
Length×Breadthlw8.7(4.9)42.6mm^2