Answer:
[tex]k=4[/tex]
Step-by-step explanation:
So we have the equation:
[tex]\sqrt{2k^2+17}-x=0[/tex]
Where:
[tex]k>0\text{ and } x=7[/tex]
And we want to find k.
Firstly, let's substitute 7 for x. So:
[tex]\sqrt{2k^2+17}-7=0[/tex]
Now, we can solve for k. Add 7 to both sides:
[tex]\sqrt{2k^2+17}=7[/tex]
Square both sides:
[tex]2k^2+17=49[/tex]
Subtract 17 from both sides:
[tex]2k^2=32[/tex]
Divide both sides by 2:
[tex]k^2=16[/tex]
Take the square root of both sides:
[tex]k=\pm\sqrt{16}[/tex]
Evaluate:
[tex]k=\pm 4[/tex]
Remember that we are told k>0. In other words, k must be positive. So, we can ignore the negative answer, giving us:
[tex]k=4[/tex]
So, the value of k is 4.
And we're done!
Solve the problem.
A pendulum swinging through a central angle of 108° completes an arc of length 24 cm. What is the length of the
pendulum? Round to the nearest hundredth.
Answer:
Yes! I was looking to refresh my geometry skill!
Step-by-step explanation:
So, a 108* arc is 24 cm. How to solve it?
First, we need to find the Circumference, or perimeter of the circle. (That the swinging pendulum makes.
Second, use that in the formula for circumference, and find the radius.
Third, done! So, let's get to it!
All we have to do to find the circumference is divide 24 by 108, then multiply that by 360*(because a circle is 360*).
[tex]24/108*360=80[/tex]
So, our circumference is 80cm. Nice! Just need to input that into the circumference formula.
[tex]80=2\pi *r\\[/tex]
Now, to solve...
[tex]40=\pi *r\\40/\pi =r[/tex]
This rounds to about 12.73 cm.
Hope this helps!
Happy Geometry!
Four hundred seven million eighty two thousand in numbers
Answer:
407082000
Step-by-step explanation:
hope it helps
Pls mark as brainiest...........
Answer:
407,820,000.
Step-by-step explanation:
This is how four hundred seven million eighty two thousand is written a numerical value.
A polygon is shown on the graph: A polygon is shown on a coordinate plane. The vertices are A at negative 6 comma 5, B at negative 6 comma 2, C at negative 2 comma 2, and D at negative 2 comma 6. If the polygon is translated 4 units down and 5 units right, what will the coordinates of the new image be? Use prime notation in expressing the new coordinates. Help please
Answer:
A) (-1’,1‘)
B) (-1’,-2’)
C) (3’,-2’)
D) (3’,2’)
Step-by-step explanation:
A) (-1’,1‘)
B) (-1’,-2’)
C) (3’,-2’)
D) (3’,2’)
How fast will the train cover 290 miles if its speed is s miles per hour?
Answer:
290/s
Step-by-step explanation:
Basically, the question is asking you to find:
290/s miles per hour
The only problem is translating words to math.
Hope this helps!
Please help and do these asap no fake stuff please. Click on the paperclip to see problems
sorry, it's too blurry for me
Answer:
20 because that what I think
One-Half of a number increased by 6 is less than 34
Answer: ½ x + 6 < 34 ; x < 56
Step-by-step explanation:
Subtract 6 on both sides. ½ x < 28.Divide ½ on both sides. x < 56.3,394 divided by 42
Answer:
80.80
Step-by-step explanation:
3394/42 simplified would be 1697/21
as a mixed form it would be 80 and 17/21
As a decimal, 80.809...
Hope this helps :)
Practice isolating the variable to solve equations with
variables on both sides.
Assignment
Consider the equation 9 - 4x = 2x.
Which equation resulted from adding 4x to both sides to isolate the variable term?
O9-2x = 4x
O 9 = -2x
O 9 =6x
O 4x=2x-9
Answer:
9 =6x
Step-by-step explanation:
We know this is the answer because the -4x was cancelled out left to the equal sign, and 2x has now become 6x after adding 4x.
Answer:
9/6 or 1.5
Step-by-step explanation:
both are right
30x^3y – 45x²y2 + 135x y3
There are 266 basketball fans who plan to go to a game. How many buses will be needed, given that each bus can hold 31 fans? Division and rounding required of whole numbers.
Exact answer: 8.5
Rounded Answer: 9
An airplane flies at an altitude of 14,690 ft while a submarine is submerged at a depth of 521 feet below the surface of the ocean.. What is the difference between these two elevations? Write an algebraic expression for the given applied problem. Simplified the algebraic expression. In the context of the applied problem, explain what your simplified algebraic expression represents.
Answer:
[tex]d_{T} = d_{A}-d_{S}[/tex]. The algebraic equation represents the distance of the airplane with respecto to the submarine. The distance between the two elevations is 15211 feet.
Step-by-step explanation:
Let be [tex]d[/tex] the distance between a vehicle and sea level, [tex]d > 0[/tex] when vehicle is above sea level, otherwise is below sea level. The difference between airplane and submarine ([tex]d_{T}[/tex]), measured in feet, is obtained by the following expression, that is:
[tex]d_{T} = d_{A}-d_{S}[/tex]
Where:
[tex]d_{A}[/tex] - Distance of airplane with respect to sea level, measured in meters.
[tex]d_{S}[/tex] - Distance of submarine with respect to sea level, measured in meters.
If we know that [tex]d_{A} = 14690\,ft[/tex] and [tex]d_{S} = -521\,ft[/tex], then:
[tex]d_{T} = 14690\,ft - (-521\,ft)[/tex]
[tex]d_{T} = 15211\,ft.[/tex]
The algebraic equation represents the distance of the airplane with respecto to the submarine. The distance between the two elevations is 15211 feet.
The algebraic equation represents the distance of the airplane with respect to the submarine is,
[tex]\rm The \ difference \ between \ both \ elevation = x_a- x_s[/tex]
And the distance between the two elevations is 15,211 feet.
Given that,
An airplane flies at an altitude of 14,690 ft,
While a submarine is submerged at a depth of 521 feet below the surface of the ocean.
We have to determine,
What is the difference between these two elevations?
According to the question,
Let, x be the distance between a vehicle and sea level when the vehicle is above sea level, otherwise is below sea level.
The difference between an airplane [tex]\rm x_a[/tex] and [tex]\rm x_s[/tex] a submarine, measured in feet, is obtained by the following expression, that is:
[tex]\rm The \ difference \ between \ both \ elevation = x_a- x_s[/tex]
Where [tex]\rm x_a[/tex] represents the distance of airplane with respect to sea levels.
And [tex]\rm x_s[/tex] represent the distance of the submarine with respect to sea levels.
Submerged at a depth of 521 feet below the surface of the ocean,
[tex]\rm x_s = -521 \ feet[/tex]
Therefore,
The difference between an airplane [tex]\rm x_a[/tex] and [tex]\rm x_s[/tex] a submarine is,
[tex]\rm The \ difference \ between \ both \ elevation = x_a- x_s\\\\ The \ difference \ between \ both \ elevation = 14,690-(-521)\\\\\rm The \ difference \ between \ both \ elevation = 15,211 \ feet[/tex]
Hence, The difference between these two elevations is 15,211 feet.
For more details refer to the link given below.
https://brainly.com/question/9351049
Mrs. Quill wrote a check for $66 for 22 school lunches. What is the cost per lunch?
is this division?
Answer:
Yes it is division
Step-by-step explanation:
It should be 3
Answer: yes division
66÷22=$3 per lunch
Step-by-step explanation:
On Friday, the temperature was 82°F. The temperature changed by –2°F on Saturday, and then it changed by 5°F on Sunday. What was the temperature on Sunday? How did the temperature change? This is an easy question but a little bit harder to work out! This was a question on a recent quiz I had and I wanted to see if you guys could figure it out?!
Answer:
85 F
Step-by-step explanation: Subtract and add the increase and decrease along each day.
Friday: 82 F
Saturday: 80 F
Sunday: 85 F
find the value of n?
p^3 times q^2 (p^4 times q^n times r^3/r^-4) = p^7 q^5 r^7
plz help asap
Answer:
n=q^2
Step-by-step explanation:
Factors that influence a hypothesis test with the t statistic Suppose you conduct a hypothesis test about a population mean when the standard deviation is unknown calculating a t statistic and determining whether to reject the null hypothesis. Assume that your t statistic positive value and that you will reject the null hypothesis when t is very large. For each of the potential the components of your study design or the results listed below, determine the change to the t statistic, select "Increases, " "Decreases, " or "Stays the same" from the dropdown menu in the right-hand column.
Please find attachment for full question Answer:
1. Stays same
2. Decrease
3. Stays same
4. Decrease
Explanation:
Please find attachment
Perform the indicated operation.
g(x) = x - 3
f (x) = x3 + 4x
Find g(x) - f (x)
Answer: g(x)-f(x)=-x³-3x-3
Step-by-step explanation:
Since we are given g(x) and f(x), we can directly subtract them to find g(x)-f(x).
x-3-(x³+4x) [distribute -1]
x-3-x³-4x [combine like terms]
-3-x³-3x [rewrite]
-x³-3x-3
Now, we know that g(x)-f(x)=-x³-3x-3.
How many square inches are in 60 square feet?
Answer:
8640
Step-by-step explanation:
Answer:
8640
There is 8640 square inches in 60 square feet.
12x+12=13x−12 how many sultions
.....................................................................................................................................................................................................................................................................
20+52x81/5 is the algebra question
Answer:
The first person said it before I did :( Well, good luck with your studies! Hope you have a great day!
From: iOEJuan ran the lemonade stand for 3 more days
Answer:
We need more information to be able to answer your question.
Evaluate the following expressions.
1. |2x + 7| + |1 - 2x^2| - 4x, given x = 3
Answer:
It should be -8 please let me know if I am right
Step-by-step explanation:
(2*3+7)+(1-2*3^2)-4*3
(6+7)+(-3^2)-12
13+-9-12
=-8
what is the greatest common factor for x^6+y^4+x^3+y^2
Answer:
1
Step-by-step explanation:
x⁶+y⁴+x³+y² correct?
There's nothing you could factor from this that would make anything look nicer. So the GCF is just 1.
Brian invests £1900 into his bank account.
He receives 4.5% per year compound interest.
How much will Brian have after 7 years?
Give your answer to the nearest penny where appropriate.
Answer:
Brian will have 258564 pennies after 7 years
Rewrite 118 as a fraction in lowest terms.
PLEASE HELP WILL MAKE BRAINLIEST
Complete the table below to show the number of rods in staircase frames with different number of steps
2 - 6k = 5 - 3k - 12 k =
Answer:
k = 3
Step-by-step explanation:
2 - 6k = 5 - 3k -12
Add like terms at RHS
2 - 6k = -3k - 7
Add 6k to both sides
2 - 6k + 6k = -3k - 7 + 6k
2 = 3k - 7
Add 7 to both sides
2 +7 = 3k
9 = 3k
Divide both sides by 3
9/3 = 3k/3
3 = k
k = 3
In a group of 53 children, 22 had a dog, 18 had a cat, and 6 had both a
dog and a cat. How many children had neither a dog nor a cat as a pet?
A.37 B.19 C.12 D.31
Answer: the answer would be 7 because:
Step-by-step explanation:
you have to add 22, 18, and 6 to each other.
22+18=40+6=46
Then you subtract 46 from 53.
53-46=7
Joan has $5,000 in her savings account.
She takes out $200 per week. In how
many weeks will it take Joan to deplete
her savings account?
Answer:
Step-by-step explanation:
25
5,000 divided by 200
what is x6y6z2 please asap
Dear student,
I request you to make you question more clear.
thank you,
________ ___________________________________
Find LM.
2x-16 x-9
11
L
M
N
Answer:
LM is 8
Step-by-step explanation:
LM --> (2x-16)+(x-9) =11
Solve for x
2x+x-16-9 =113x-25=113x=36x=12Plug in this value for LM equation to solve for LM:
(2x-16)2(12)-1624-16 = 8LM is 8