Find all values of k, if any, that satisfy the equation (in attachment). Enter the exact answer(s).
Answers
Compute the rightmost product:
[tex]\begin{bmatrix}1&2&0\\2&0&4\\0&4&-1\end{bmatrix}\begin{bmatrix}2\\2\\k\end{bmatrix}=\begin{bmatrix}1\times2+2\times2+0\times k\\2\times2+0\times2+4\times k\\0\times 2+4\times2+(-1)\times k\end{bmatrix}=\begin{bmatrix}6\\4k+4\\8-k\end{bmatrix}[/tex]
Then
[tex]\begin{bmatrix}2&2&k\end{bmatrix}\begin{bmatrix}6\\4k+4\\8-k\end{bmatrix}=2\times6+2\times(4k+4)+k\times(8-k)=-k^2+16k+20[/tex]
Use whatever methods you like to solve the remaining quadratic equation:
-k ² + 16k + 20 = 0 → k = 8 ± 2√21
Related Questions
Which one is ASA, AAS, HL, SSS, SAS
Answers
Answer:
1. ASA
2. AAS
3. AAS
4. SSS
5. SSS
6. not sure which triangles are number 6
7. SAS
Marla and some friends are on a road trip. Marla was assigned to drive 3/7 of the total trip. She has already driven 3/5 assigned driving duty. How much of the total trip has Marla driven. The solution will go on the right side of the equation
Answers
Answer:
9/35
Step-by-step explanation:
Let x be the total trip distance.
Since Maria is assigned to drive 3/7 of the total trip, she is to drive 3x/7.
Now, since Maria has driven 3/5 of 3x/7, the amount of the total trip she has driven is 3/5 × 3x/7 = 9x/35.
So, Maria has driven 9/35 of the total trip.
Someone help pleaseee :)) thanks guyss
Answers
2 7/10
Explanation:
First you multiply 5 by 2/5 which is 2.
Next you multiply 2 by 2 which is 4.
Then you multiply -3 by 1.1 or you can turn it into a fraction then multiply
-3x11/10 which is - 33/10 .
Finally you put them all together and add or subtract.
2+4-33/10=?
6 - 33/10=?
60/10-33/10=27/10=2 7/10
A certain drug doseage calls for 460mg per kg per day and is divided into four doses(1 every 6 hours). If a person weighs 229 pounds, how many milligrams of the drug should he receive every 6 hours?
Answers
Answer:
11943.31 mg
Step-by-step explanation:
460mg a day per kilo of weight, 4 doses for that total amount
460/4=115mg per kilo per dose
1 kilo = 2.205 pounds
115/2.205=52.15 approx mg per pound per dose
52.15*229=11943.31 approx, which is how much per dose
uwu
Please help, its due soon
Old Faithful is a geyser in Yellowstone National Park that erupts according to an arithmetic sequence. The eruptions generally happen in 46 minute intervals with a constant difference of 12 minutes. Suppose that you are in the park and you know the last eruption was at 12:22 p.m. That eruption was the 4th eruption of the day. About when can you expect the geyser to erupt again? Explain.
Answers
Answer:
1:10 AM
Step-by-step explanation:
The 4th eruption of the day as at 12:22 PM. And since the time between each eruption gets 12 minutes added, the next eruption is going to happen in 48 minutes, which is at 1:10 AM. After that eruption, the time will reset and the next eruption will happen at 1:22 AM
10 points Mrs. Daniels is going to visit her grandchildren in Mexico over her summer vacation. She will be gone for one month and five days. She leaves on May 29th. When does she return? A. June 29 B. July 4 C. June 4 D. July 29
Answers
Answer:
june 4
Step-by-step explanation:
this is the answer because after may its june and she said she will be gone for 5 days so she comes home on june 4
Answer:
JUNE 4
Step-by-step explanation:
multiply (-6.1)(4.1)
I answered -25.01 and was told it was wrong. It asks to answer as an integer or decimal.
Answers
Can someone please help me with this question really need help
Answers
Perimeter: 39
8 1/2 is converted to 8.5
So to find the area we multiply the length and the width:
8.5 x 11 = 93.5
To find the perimeter we add up each side of the rectangle so:
8.5 + 8.5 + 11 + 11 = 39
Willow has a recipe that asks her to use 3/4 cup of sugar. She is going to make 1/2 of the recipe, so she only needs 1/2 of that 3/4 cup. How many cups of sugar will she use?
Answers
Answer:
3/8ths cup
Step-by-step explanation:
take 3/4 and times that by 2 then you get 6/8th and then take half of the 6 out and get 3/8th
can you solve this equation?
-12 2/3 + 2 1/3
Answers
Answer:
-7.333
Step-by-step explanation:
Answer:
-9
Step-by-step explanation:
A(n)?
is a number that is a multiple of two or more numbers.
Answers
Find the value of x.
Answers
Use the Pythagorean theorem:
x = SQRT(33^2 + 56^2)
x = sqrt(1089 + 3136)
x - sqrt(4225)
x = 65
Answer:
65
Step-by-step explanation:
56²+33²=X²
√(56²+33²)=X
X=65
Diego and other farmers harvested tomatoes for barangay's gulayan day. they were able to fill 56.5 kaings each weighing 18.75 kilograms
1. About how many kilograms of tomatoes were harvested for the gulayan day?
2. if they would sell the tomatoes for 24.25 a kilo,
a. by how much would they get for one kaing?
b. by how much would they get for all the tomatoes?
3. A businessman bought all the tomatoes, but will was given 1.5 kilograms free for each kaing. About how much would he pay?
Answers
Number 1
56.5 kaings each weighing 18.75 kilograms
56.5 × 18.75 = 1059.375 kilograms
Answer : 1059.375 kilograms
Number 2 (A)
$24.25 a kilo and 18.75 kilograms for one kaings
18.75 × $24.25 = $454.6875
Answer : $454.69
Number 2 (B)
$24.25 a kilo and 1059.375 kilograms
1059.375 × $24.25 = 25 689.84
Answer : $25 689.84
Number 3
1.5 kilograms free for each kaing
18.75 - 1.5 = 17.25 kg
17.25 kg × 56.5 kaings × $18 247.21875
Answer : $18 247.22
Christine got a loan for $160 at 5% simple interest for 3 years. How much will she have to pay the bank after 3 years?
Answers
Answer:
185.22
Step-by-step explanation:
Twice Carrie’s age increased by three is equal to twenty-five. Which equation can be used to find Carrie’s age, x?
A. 2(x + 3) = 25
B. 2(3) + 25 = x
C. 2x + 3 = 25
D. x + 2(3) = 25
Answers
Answer:
The answer is c
Step-by-step explanation:
The points in the table below are on the graph of the function g(x). Which rule and table of values correspond to points on the graph of the function g‒1(x)? A 2-column table with 5 rows. Column 1 is labeled x with entries negative 2, negative 1, 0, 1, 2. Column 2 is labeled y with entries negative 14, negative 6, negative 4, negative 2, 6. A 2-column table with 5 rows. Column 1 is labeled x with entries 2, 1, 0, negative 1, negative 2. Column 2 is labeled y with entries 6, negative 2, negative 4, negative 6, negative 14. (a, b) → (‒a, b) A 2-column table with 5 rows. Column 1 is labeled x with entries 14, 6, 4, 2, negative 6. Column 2 is labeled y with entries negative 2, negative 1, 0, 1, 2. (a, b) → ( −b, a) A 2-column table with 5 rows. Column 1 is labeled x with entries negative 14, negative 6, negative 4, negative 2, 6. Column 2 is labeled y with entries negative 2, negative 1, 0, 1, 2. (a, b) → (b, a) A 2-column table with 5 rows. Column 1 is labeled x with entries negative 2, negative 1, 0, 1, 2. Column 2 is labeled y with entries 14, 6, 4, 2, negative 6. (a, b) → (a, ‒b)
Answers
Answer:
MAG ARAL KA NG MABUTI ...PARA BALANG ARAW MAIPAGMALAKI KA... ❤️DOWN PAG MABASA MOTO☺️
The function y = f(x) is shown in the graph, while y = g(x) is in the table. Choose all of the true statements.
Answers
Answer:
Step-by-step explanation:
a,b,and d
hopes this helps
Answer:
A B D E
Step-by-step explanation:
If $2,500 is deposited into a new account that earns 2% interest compounded quarterly and there are no other deposits or withdrawals, how much interest is earned after 15 years?
Answers
Answer:
The amount is $3372.13 and the interest is $872.13
Step-by-step explanation:
Interest is the monetary charge for the privilege of borrowing money.If $2,500 is deposited into a new account that earns 2% interest compounded quarterly and there are no other deposits or withdrawals,
then 864.671 is the interest earned after 15 years.
What is Interest?Interest is the monetary charge for the privilege of borrowing money.
Given that $2,500 is deposited into a new account that earns 2% interest compounded quarterly and there are no other deposits or withdrawals, We need to find how much interest is earned after 15 years.
After 15 years,
Amount=2500×(1+2%)^15
=3364.671
The formula for interest is given below,
Interest=Amount-Capital
=3364.671-2500
=864.671
Hence 864.671 is the interest earned after 15 years for $2,500 is deposited with 2% interest compounded quarterly and there are no other deposits or withdrawals.
To learn more on Interest click:
https://brainly.com/question/13324776
#SPJ2
Mis Brown graded 84 papers. If the ratio of science papers to math papers is 2:10 how many math papers did she grade?
Answers
Answer:
70
Step-by-step explanation:
2 + 10 = 12
84 ÷ 12 = 7
7 x 10 = 70
She graded 70 maths papers and 14 science papers.
A cash register contains only five dollar and ten dollar bills. It contains three times as many five dollar bills as ten dollar bills and the total amount of
money in the cash register is $950. How many ten dollar bills are in the cash register?
Answers
Answer:
38
Step-by-step explanation:
Let x be the number of ten dollar
Number of five dollar=3x
Total amount of money in the cash register=$950
We have to find the number of ten dollar bill in the cash register.
According to question
[tex]5\times (3x)+10x=950[/tex]
[tex]15x+10x=950[/tex]
[tex]25x=950[/tex]
[tex]x=\frac{950}{25}[/tex]
[tex]x=38[/tex]
Hence, number of ten dollar bills in the cash register=38
The sum of the lengths of two sides of a triangle must be greater than the third side. The sides of a triangle measure x
cm, 12 cm, and 10 cm. Which inequality can be used to represent the possible values of x?
VX
O X+12 > 10
X+ 12 <10
O X+ 12 > 12
O X+ 12 <12
Save and Exit
Next
Submit
Markthisandramm
Answers
Answer:
A
Step-by-step explanation:
It says the sum of the two sides must be greater than the third side, so we can eliminate answers B and D.
Answer C uses 12 multiple times, but in a equation of a triangle, we can't use 12 twice because when you calculate using the Pythagorean Theorem, X has to be the square root of 44. So C is out.
A is the correct answer. (also, I got it right on edge 2021)
If Kiri has 28 full-time members this month, how many part-time members does she need, according to your formula?
Answers
STICK EM UP! or I will have to shoot.
Answers
Hi, I need help please!!!!!
Answers
Answer:
210 minutes
Step-by-step explanation:
First, we want to find out how many meters cubed of water there is, which is the volume.
The volume of this prism would be, the average of the two sides multiplied by 2 and 1.
1.5+0.6 = 2.1
2.1/2 = 1.05
1.05*2=2.1
2.1*1=2.1
2.1 meters is the volume but because it goes down by 30 cm, we have to convert 2.1 to cm.
2.1 * 100 = 210 cm.
Every 30 minutes, it goes down by 30 cm so:
210/30 = 7
210 minutes until it's empty
Two consecutive odd integers have a sum of 44. Find the integers.
Answers
Step-by-step explanation:
Answer
Let2odintegers
(2n+1),(2n+3)
→(2n+1)+(2n+3)=44
⇒4n+4=44
⇒4n=40
⇒n=10
then,integerare
2n+1=21
2n+3=23
Whoever solves gets brainlist
ameliaswan
Answers
Answer:
13 < y + x < 32
Step-by-step explanation:
x in (8,10) and y in (5,22) implies x + y in (8+5,10+22) = (13,32) so 13 < y + x < 32.
Answer:
14 < y+x < 31
Step-by-step explanation:
x = 9
y could be any number from 6 to 21
5+9 < y + x < 22+9
14 < y+x < 31
3(x-5)=6 What is the answer?
Answers
Step-by-step explanation:
3(x - 5) = 6
x - 5 = 2 (divide 3 on both sides)
x = 7 (add 5 on both sides)
The solution is x = 7.
3(x-5)=6
multiply 3 by x and -5
3x-15=6
add 15 on each side
it cancels out on the left nd on the right u get 21
so it would be
3x=21
divide by 3 on each side
X=7
Check:
3(7-5)=6
3(2)=6
6=6
Another one he doesn't think I'm right on.
Answers
A. 8 is the answer
If the triangles are similar then their sides need to be in the same ratio. So, if 22 become 11, then the ratio is 2:1. So, for 16 it becomes 8.
Answer:
x = 8
Step-by-step explanation:
22/16 = 11/x
x = 11 . 16/22
x = 8
The side of the base of a square pyramid is increasing at a rate of 666 meters per minute and the height of the pyramid is decreasing at a rate of 111 meter per minute. At a certain instant, the base's side is 333 meters and the height is 999 meters. What is the rate of change of the volume of the pyramid at that instant (in cubic meters per minute)
Answers
Answer:
[tex]105m^3/min[/tex]
Step-by-step explanation:
We are given that
Base side of square pyramid, a=3 m
Height of square pyramid, h=9m
[tex]\frac{da}{dt}=6m/min[/tex]
[tex]\frac{dh}{dt}=-1/min[/tex]
We have to find the rate of change of the volume of the pyramid at that instant.
Volume of square pyramid, V=[tex]\frac{1}{3}a^2h[/tex]
Differentiate w.r.t t
[tex]\frac{dV}{dt}=\frac{1}{3}(2ah\frac{da}{dt}+a^2\frac{dh}{dt})[/tex]
Substitute the values
[tex]\frac{dV}{dt}=\frac{1}{3}(2(3)(9)(6)+(3^2)(-1)[/tex]
[tex]\frac{dV}{dt}=105m^3/min[/tex]
Hence, the rate of change of the volume of the pyramid at that instant=[tex]105m^3/min[/tex]
The surface areas of two cubes have a ratio of 49 to 81. What is the
ratio of the edge lengths of the two cubes?
A
7 to 9
B
1 to 32
C
32 to 49
D
3 to 4
Answers
Answer:
A
7 to 9
Step-by-step explanation:
We have that:
The ratio of the edges is x.
The ratio of the surface areas is given by [tex]x^2[/tex]
The ratio of the volumes is given by [tex]x^3[/tex]
In this question, we have that:
[tex]x^2 = \frac{49}{81}[/tex]
So
[tex]x = \sqrt{\frac{49}{81}} = \frac{7}{9}[/tex]
So the correct answer is given by option A.