Answer:
Graph below
Step-by-step explanation:
Transformations
Triangle ABC has coordinates A=(-4,2) B=(-2,6) C=(3,2)
We'll use the transformation (x,y) -> (2x, y+3) to map it to the triangle A'B'C'. Let's calculate the coordinates:
A'=(-8,5)
B'=(-4,9)
C'=(6,5)
The image below shows both triangles in the same grid
HELP ILL GIVE 80 AND BRAINLIEST
Answer:
288 sq feet is my best guess
Step-by-step explanation:
Perform the indicated operation.
40−4
010
001
−8
−1
3
⇒ 40
⇒ 0
010
001
⇒ 4
−1
3
Multiply row 1 by the reciprocal of 4.
400
010
001
4
−1
3
100
010
001
−1
3
Answer:
yeah the answer is in the question just needed the points
Step-by-step explanation:
[tex]\begin{bmatrix}4 & 0 & -4& |& -8 \\0 & 1 & 0& |& -1 \\0 & 0 & 1& |& 3\end{bmatrix} \xrightarrow{\text{4R3+R1}\rightarrow \text{R1}} \begin{bmatrix}\bold{4} & \bold{0} & \bold{0}& |& \bold{4} \\0 & 1 & 0& |& -1 \\0 & 0 & 1& |& 3\end{bmatrix}[/tex]
and,
[tex]\begin{bmatrix}4 & 0 & -4& |& 4 \\0 & 1 & 0& |& -1 \\0 & 0 & 1& |& 3\end{bmatrix} \xrightarrow{\frac{1}{4} \text{R1}\rightarrow \text{R1}} \begin{bmatrix}\bold{1} & \bold{0} & \bold{0}& |& \bold{1} \\0 & 1 & 0& |& -1 \\0 & 0 & 1& |& 3\end{bmatrix}[/tex]
What is matrix?"A set of numbers arranged in rows and columns so as to form a rectangular array."
What is augmented matrix?"A matrix formed by combining the columns of two matrices to form a new matrix."
What are elementary row operations?"The mathematical operations that are performed on rows of a matrix."
For given question,
We have been given an augmented matrix.
[tex]\begin{bmatrix}4 & 0 & -4& |& -8 \\0 & 1 & 0& |& -1 \\0 & 0 & 1& |& 3\end{bmatrix}[/tex]
We need to perform the row operation 4R3 + R1 → R1
To perform above row operation,
- First multiply the third row by 4. ([tex]4R_3[/tex])
- Add the new third row (4[tex]R_3[/tex]) with the first row.
- Then replace Row 1 with the result.
The resultant augmented matrix would be,
[tex]\begin{bmatrix}\bold{4} & \bold{0} & \bold{0}& |& \bold{4} \\0 & 1 & 0& |& -1 \\0 & 0 & 1& |& 3\end{bmatrix}[/tex]
That is,
[tex]\begin{bmatrix}4 & 0 & -4& |& -8 \\0 & 1 & 0& |& -1 \\0 & 0 & 1& |& 3\end{bmatrix} \xrightarrow{\text{4R3+R1}\rightarrow \text{R1}} \begin{bmatrix}\bold{4} & \bold{0} & \bold{0}& |& \bold{4} \\0 & 1 & 0& |& -1 \\0 & 0 & 1& |& 3\end{bmatrix}[/tex]
Now, we need to perform the row operation [tex]\frac{1}{4}[/tex] R1 → R1 on the above resultant augmented matrix.
To perform above row operation,
- Multiply the Row 1 by the reciprocal of 4.
- Then replace Row 1 with the result.
The resultant augmented matrix would be,
[tex]\begin{bmatrix}4 & 0 & -4& |& 4 \\0 & 1 & 0& |& -1 \\0 & 0 & 1& |& 3\end{bmatrix} \xrightarrow{\frac{1}{4} \text{R1}\rightarrow \text{R1}} \begin{bmatrix}\bold{1} & \bold{0} & \bold{0}& |& \bold{1} \\0 & 1 & 0& |& -1 \\0 & 0 & 1& |& 3\end{bmatrix}[/tex]
Therefore,
[tex]\begin{bmatrix}4 & 0 & -4& |& -8 \\0 & 1 & 0& |& -1 \\0 & 0 & 1& |& 3\end{bmatrix} \xrightarrow{\text{4R3+R1}\rightarrow \text{R1}} \begin{bmatrix}\bold{4} & \bold{0} & \bold{0}& |& \bold{4} \\0 & 1 & 0& |& -1 \\0 & 0 & 1& |& 3\end{bmatrix}[/tex]
and,
[tex]\begin{bmatrix}4 & 0 & -4& |& 4 \\0 & 1 & 0& |& -1 \\0 & 0 & 1& |& 3\end{bmatrix} \xrightarrow{\frac{1}{4} \text{R1}\rightarrow \text{R1}} \begin{bmatrix}\bold{1} & \bold{0} & \bold{0}& |& \bold{1} \\0 & 1 & 0& |& -1 \\0 & 0 & 1& |& 3\end{bmatrix}[/tex]
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Which table shows no correlation?
х
3
8
3
-1
5
- 2
6
--3
10
-5
14
1-4
15
-8
y
-2
х
10
3
-6
5
--7
6
-4
8
-2
14
-1
15
3
0
у
х
5
3
-2.
5
|--4
6
6
colo
10
12
14
10
15
-16
y
8
X
3
-3
5
_5
6
-9
10
-13
14
--15
15
-17
y
-11
The correlation of the values in the tables is the existence of a
relationship between the x and y values.
Correct response:
The third table.Method used for the evaluation of the tablesA table that shows a strong correlation is one in which the y-values can be predicted more or less accurately from the x-values.
The table that shows no correlation is one in which the x and y-values have different patterns;
The level of correlation is given by the correlation coefficient, which is found by the following formula;
[tex]\displaystyle r = \mathbf{ \dfrac{\sum \left(x_i - \overline{x} \right) \cdot \left(y_i - \overline{y} \right)}{\sqrt{\sum \left(x_i - \overline{x} \right)^2 \cdot \sum \left(y_i - \overline{y} \right)^2} }}[/tex]
By plotting the values using MS Excel, we have the values of r², for the tables as follows;
The value of r² for the first table is r² = 0.7307
Therefore;
r ≈ 0.8548 The correlation of the first table is strong.
Second table, r² = 0.8156
r = √(0.8156) ≈ 0.9031 The correlation in the second table is very strong.
Third table, r² = 0.0107
Therefore, r ≈ 0.1034
The correlation for the third table is weak, which shows no correlation.Fourth table, r² = 0.9342
Therefore, r ≈ 0.9665
The correlation of the x and y-values of the fourth table is very strong indicating the presence of a correlation.
Therefore;
The table that shows no correlation is the third table.Learn more about correlation analysis here:
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can someone please help me with number 8?!
Answer:
2
Step-by-step explanation:
Answer:
B= 1.5
Step-by-step explanation:
Devon bought a new suit that was discounted 40% off the original price. If the original price of the suit was $280, what was the discounted price?
a) $140
b) $392
c) $112
d) $168
Answer:
c
Step-by-step explanation:
yardım edin boş cevapları spamlycam teşekkür ederim şimdiden
Answer:
8a^3
Step-by-step explanation:
Given that;
2^x = a, we want an expression for 8^(x + 1)
we have this as;
8^(x + 1) = 8^x * 8^1
8^x = (2^x)(3)
8^x is thus same as 2^3x
So replace 2^x by a
Thus, we have a^3
Multiply this by the 8 we had initially; that will give;
8 * a^3 = 8a^3
Answer:
cevap C olabilir ama emin değilim
what is the slope between (-3,6) (0,1)
Answer:
-5/3
Step-by-step explanation:
We can find the slope between two points using
m = ( y2-y1)/(x2-x1)
= ( 1-6)/(0 - -3)
= ( 1-6)/( 0+3)
= -5/3
8.
The equation a = 640s gives the relationship between s square miles and a acres. Kevin owns 8.5 square miles of farmland. How many acres does he own?
13.28 acres
1.33 acres
5,440 acres
544 acres
Answer:
5440 acres
Step-by-step explanation:
Given: The equation a = 640s gives the relationship between s square miles and a acres. Kevin owns 8.5 square miles of farmland.
To Find: How many acres does he own.
Solution:
Area of farmland owned by kevin
The given equation is
here is area in acres, and is area in square miles.
putting values in equation
Hence kevin owns of farmland
A player at a basketball camp set a goal to make 55% if his shots. If he has 120 attempts, how many shots would he need to make in order to reach his goal?
Answer: 66
Step-by-step explanation:
From the question, we are informed that a player at a basketball camp set a goal to make 55% if his shots and that he has 120 attempts.
The number of shots that he would he need to make in order to reach his goal will be 55% of 120. This will be:
= 55% × 120
= 55/100 × 120
= 0.55 × 120
= 66
He would need to make 66 shots
Kylie and her family need to buy a new refrigerator. The space available for the refrigerator measures 37 in. wide, 72 in. high, and 24 in. deep. Which size refrigerator would be the BEST fit for the available space?
Answer: Answer D, 42,000 in
Step-by-step explanation:
ok no one cares lol lolololol
Kyle recycled the following items.
Recycling
Item Count
Boxes 2
Cans 25
Plastic 15
Magazines and Newspapers 8
TOTAL 50
What percent of the recycled items were cans?
Answer: oh wow that sucks
Step-by-step explanation:
Answer:
i donk really know :(
Step-by-step explanation:
sorry
:)
Last year, the average monthly revenue at stamford times newspaper was 35,700. So far this year, the average has been 29% more than last year. What is the average revenue.
Answer:
$46,053
Step-by-step explanation:
Convert 29% into a decimal, which is 0.29.Multiply $35,700 by 29% as a decimal (0.29), which is 10,353.Since the keyword is more, we want to add $35,700 and 10,353 (29% of $35,700). The answer will be $46,053.(k + 2)x² -(k+ 2)x - 1 = 0
+
Suppose that you throw a rock into the air from the top of a cliff. The initial
upward velocity is 15 m/sec.
a. How high will the rock be above the cliff after two seconds?
b. Where will it be after four seconds ?
c. When will it again be at the same level you threw it?
d. When will it hit the water, 50 meters below the cliff?
Answer:
a. 10.4m above the cliff
b. 18.4m below the cliff
c. Os or 3.1s
d. 5.1s
a) The rock be 10 m above the cliff after two seconds.
b) The rock be 20 m below the cliff after 4 seconds.
c) After 3 second it again be at the same level you threw it.
d) After 5 second it hit the water, 50 m below the cliff.
What is Multiplication?
To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.
Since, The formula for the distance,
s = ut - 1/2 gt²
Where, s is distance of an object.
u is initial velocity.
t is time taken by object.
Now,
a) Given that;
t = 2 seconds , u = 15 m/sec , g = 10 m/s
Since, s = ut - 1/2 gt²
Substitute all values we get;
s = 15 × 2 - 1/2 × 10 × 2²
s = 30 - 20
s = 10 m
Thus, The rock be 10 m above the cliff after two seconds.
b) Given that;
t = 4 second,
Then, s = ut - 1/2 gt²
s = 15 × 4 - 1/2 × 10 × 4²
s = 60 - 80
s = - 20
Hence, The rock be 20 m below the cliff after 4 seconds.
c) Given that;
s = 0 meter
Then, s = ut - 1/2 gt²
Substitute all the values,
0 = 15t - 1/2 × 10 × t²
15t - 5t² = 0
5t² - 15t = 0
5t ( t - 3) = 0
Gives, t = 0 second and t = 3second
So, After 3 second it again be at the same level you threw it.
d) Given that;
s = -50 m
Since, s = ut - 1/2 gt²
Thus, Substitute all the values we get,
- 50 = 15t - 1/2 × 10 × t²
15t - 5t² = -50
5t² - 15t - 50 = 0
5 (t² - 3t - 10) = 0
t² - 3t - 10 = 0
By using quadratic formula;
t = -(-3) ± √(-3)² - 4 × 1 × -10 / 2 × 1
t = 3 ± √9 + 40 / 2
t = 3 ± √49 / 2
t = 3 ± 7 / 2
Gives t = 3 + 7 / 2 = 5 second
and , t = 3 - 7/ 2 = -4/2 = -2 second
Thus, After 5 second it hit the water, 50 m below the cliff.
So,
a) The rock be 10 m above the cliff after two seconds.
b) The rock be 20 m below the cliff after 4 seconds.
c) After 3 second it again be at the same level you threw it.
d) After 5 second it hit the water, 50 m below the cliff.
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One of the legs of a right triangle measures 9 cm and the other leg
measures 4 cm. Find the measure of the hypotenuse. If necessary,
round to the nearest tenth.
Answer:
9.8cm
Step-by-step explanation:
The pythagorean theorem states that, for right triangles, [tex]a^{2}+b^{2} =c^{2}[/tex]. Using this equation, we can solve for the hypotenuse.
a = 9cm
b = 4cm
c = hypotenuse
9^2 + 4^2 =c^2
81 + 16 = c^2
[tex]\sqrt{97} =c[/tex]
9.8 = c
a number divided by 3 minus 5 is less than 10
Answer:
x < 45
Step-by-step explanation:
Let's call that number x. x/3 - 5 < 10, and we can add by five on both sides then multiply by 3 on both sides to get that x < 45.
How do you know when a number is divisible by 6?
A. when the number in one's digit is even
B. when the number is divisible by 4
C. when the last three digits are divisible by 8
D. when the number is even AND is divisible by 3.
Answer:
the answer is D
Step-by-step explanation:
makes sense...
which description best compares the graphs of the two functions below?
The y-intercept of Function B is higher on the
y-axis.
Function A
The line for Function B is steeper.
The line for Function A is steeper.
The y-intercept of Function A is higher on the
Function B
y-axis.
Answer:
function A is have the best compares of the graphs
8 cm
Scale: 1 cm
4 m
What is the actual height of the lighthouse?
Answer:
Actual height of lighthouse = 32 m
Step-by-step explanation:
Given:
Scale height of lighthouse = 8 cm
Scale;
1 cm = 4 m
Find:
Actual height of lighthouse
Computation:
Actual height of lighthouse = Scale height of lighthouse x 4 m
Actual height of lighthouse = 8 x 4 m
Actual height of lighthouse = 32 m
I Need help on Understand Addition and Subtraction of Fractions Unit Test 4th Grade! Can yall give me the answers it has 10 Questions!
Answer:
Where is the test?
Step-by-step explanation:
48 feet is 12% of
feet?
[tex] \frac{400}{0.12} = 400 \: feet[/tex]
[tex]400 \times 0.12 = 48[/tex]
A rectangular prism has a base area of 380 square feet. The volume of the prism is 4180 cubic feet. What is the height of the prism?
Answer:
the height will be 11 cm
Step-by-step explanation:
As:
given,
base area = 380
volume = 4180
We know,
Base area = l * w
or, 380 = l * w
Then,
volume= l * w * h
or, 4180 = 380 * h
or, 4180/380 = h
or, h = 11
Therefore, the height will be 11 ft.
All the best!!
The height of the rectangular prism is 11 feet
The volume of the prism is given as:
Volume = 4180 cubic feet
The base area of the prism is given as:
Base Area = 380 square feet
The volume of the prism is calculated as:
[tex]Volume = Bh[/tex]
Where, B represents the base area and h represents the height
So, we have:
[tex]4180= 380 \times h[/tex]
Divide both sides by 380
[tex]11 = h[/tex]
Rewrite the equation as:
[tex]h =11[/tex]
Hence, the height of the rectangular prism is 11 feet
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For the pair of similar triangles, find the value of x.
2x-4
39
x+6
24
Answer:
x= 20
Step-by-step explanation:
set up a proportion:
(2x - 4)/24 = 39 / (x + 6)
(2x - 4)(x + 6) = 936
2x^2 + 8x - 24 = 936
x^2 + 4x - 12 = 468
x^2 + 4x - 480 = 0
(x - 20)(x + 24) = 0
x= 20, -24
has to be positive so x = 20
3x+7=19 what is the value of x
Answer:
4
Step-by-step explanation:
because subtract 4+7 which is 11 from 19 which is 7 and 4x3 equals 9 so X is 3
What is the area of the parallelogram?
80 cm 2
40 cm 2
29 cm
58 cm 2
Answer:
80cm²
Step-by-step explanation:
Area of parallelogram =base×height
B=16cm
H=5
Area=16×5
80cm²
Hope this helps you :)
Step-by-step explanation:
area= b×h
area= 16cm × 5cm
area= 80 cm²
A creature on the moon throws a rock off a cliff. The height of the rock above the surface of the moon, in meters, t seconds after it is thrown is given by h(t) = −t 2 + 8t + 10. When does the rock hit the surface of the moon?
Answer:
9.099 seconds
Step-by-step explanation:
The rock hits the surface of the moon when is t is 0.
[tex]-t^2 + 8t + 10 = 0\\t^2 - 8t - 10 = 0[/tex]
Use the quadratic formula
t = -1.099 and 9.099
Since time can't be negative, the answer is t = 9.099
Seven bottles of soft drink were put out onto the
table at a birthday party. How much soft drink
was left over after 5 2/9 bottles were consumed?
please help me due tomorrow
Answer:
I think the answer is 1 7/9
"complete the function table. use the given input (x) values and determine the corresponding output (y) values based on the given function. if no inputs or outputs are given --- provide your own."
Answer:
-4, 6, 16, 26
Step-by-step explanation:
For each y-value, all you need to do is put x into the function or equation wherever there is an x, and the result will be the y-value.
When x = 0; y = 2(0)-4, or y = -4.
When x = 5; y = 2(5)-4 = 10-4 = 6
When x = 10; y = 2(10)-4 = 20-4 = 16
When x = 15; y = 2(15)-4 = 30-4 = 26
PLS HELP!! Jason bought glass vases for his booth at the fair. If he bought 13 vases and the total weight was 34.97 lb, how much did each vase weigh?
A. .00269 lb
B. .0269 lb
C. .269 lb
D. 2.69 lb
Answer:
D. 2.69 lb is your answer
13vases=34.97lb
1 vase=34.97/13=2.69lb
What is the price of a can of soda if a case of 24 is 8.99
Answer:
Discount:
20% is .2 as a decimal, so you multiply the value of 12 by .2
12(.2)=2.4
The discount is $2.40
Sale Price:
subtract 2.4 from the price of the original price
12-2.4=9.6
The sale price is $9.60
Step-by-step explanation:
Answer:
Each can of soda will cost $0.37
Step-by-step explanation:
First you write 24/8.99 = 1/x because you are trying to find the cost for 1 soda
24/8.99 = 1/x
Then you cross multiply.
24*x 8.99*1
24x=8.99
Divide each side by 24
24x/24=8.99/24
x=0.374583
Round it to the nearest hundredths place.
x=0.37