u= ab/k, for a
Solve form A

Answers

Answer 1
Answer:

a = uk/b

Step-by-step explanation:

u = ab/k

uk = ab

a = uk/b


Related Questions


Binomial (-2x - 8) and trinomial (-3x2 + 4x + 5) are the factors of which of the following polynomials?

Answers

Answer:

5

Step-by-step explanation:

A tortoise is walking in the desert. It walks 43.75 meters in 7 minutes. What is it’s speed?

Answers

Answer:

v=0.104167m/s

Step-by-step explanation:

Given:

s=43.75

t=7min

Required:

v=?

Formula:

v=s/t

t in second

Solution:

1min=60s

7min=7*60s=420s

v=s/t

v=43.75m/420s

v=0.104167m/s

Hope this helps ;) ❤❤❤

A research scientist wants to know how many times per hour a certain strand of bacteria reproduces. The mean is found to be 13.6 reproductions and the population standard deviation is known to be 1.9. If a sample of 189 was used for the study, construct the 85% confidence interval for the true mean number of reproductions per hour for the bacteria. Round your answers to one decimal place.

Answers

Answer:

The confidence interval is  [tex]13.4< \mu < 13.8[/tex]

Step-by-step explanation:

From the question we are told that

   The sample  mean is [tex]\= x = 13.6[/tex]

     The standard deviation is [tex]\sigma = 1.9[/tex]

     The sample  size is  [tex]n = 189[/tex]

given that the confidence level is  85% then the level of significance is mathematically represented as

            [tex]\alpha = (100 - 85 )\%[/tex]

            [tex]\alpha = 0.15[/tex]

Next we obtain the critical value  of [tex]\frac{\alpha }{2}[/tex] from the normal distribution table  the value  is  

      [tex]Z_{\frac{\alpha }{2} } = 1.44[/tex]

Generally the margin of error is mathematically represented as

        [tex]E = Z_{\frac{\alpha }{2} } * \frac{\sigma}{\sqrt{n} }[/tex]

=>     [tex]E = 1.44* \frac{1.9}{\sqrt{189} }[/tex]

=>     [tex]E = 0.1990[/tex]

The  85%  confidence interval is mathematically represented as  

        [tex]\= x - E < \mu <\= x + E[/tex]

=>      [tex]13.6- 0.1990 < \mu < 13.6+ 0.1990[/tex]

=>      [tex]13.4< \mu < 13.8[/tex]

           

The rocket deploys a parachute after 9 seconds and descends at a constant rate of 20 ft/sec. How long does it take to reach the ground

Answers

This question is incomplete, the complete question is;

A rocket is launched straight into the air with initial velocity 200 ft/s. Assume the launch is instantaneous. How high will it go, and how long will that take (use time increments of 0.01 seconds)? G= - 32.2 ft/s² , H₀=0 (the ground)

V(t)=V₀ + g t

H(t)= H₀ + V₀ t + ½ g t²

The rocket deploys a parachute after 9 seconds and descends at a constant rate of 20 ft/sec. How long does it take to reach the ground

Answer:

a) maximum height S is 621.12 ft and time taken to reach it is 6.21 sec.

b) The rocket deploys a parachute after 9 seconds and descends at a constant rate of 20 ft/sec,

Time taken to travel t = 24.79 sec

NOW total time taken = 27.55 sec

Step-by-step explanation:

Given that,

initial velocity u = 200 ft/s

acceleration a = 32.2 ft/s²

vertical displacement ( maximum height) S = ?

final velocity at highest point Ц = 0

NOW from the equation of motion

v² - u² = 2as

we substitute

0² - (200)² = 2 (-32.2) × s

s = 621.12 ft

time taken t = (v -u)/a = (0-200)/-32.2

t = (-200) / (-32.2)

t = 6.21 sec

distance traveled by rocket from t=6.21sec to t=9sec

Δt = (9-6.21) = 2.79sec

s = ut + 1/2at²

s = 0 + 1/2(32.2)(2.79)² = 125.32 ft

Remaining distance = 621.12 ft - 125.32 ft = 495.8 ft

Time taken to travel = t = s/v = (495.5ft) / (20 ft/sec)

t = 24.79 sec

NOW total time taken = 2.79sec + 24.79sec = 27.55 sec

Determine the sum of the arithmetic series: 5+18 +31 +44 + ... 161.

Answers

Answer:

1079

Step-by-step explanation:

Hello,

18-5 = 13

31-18=13

44-31=13

161=5+13*12

So we need to compute

[tex]\displaystyle \sum_{k=0}^{k=12} \ {(5+13k)}\\\\=\sum_{k=0}^{k=12} \ {(5)} + 13\sum_{k=1}^{k=12} \ {(k)}\\\\=13*5+13*\dfrac{12*13}{2}\\\\=65+13*13*6\\\\=65+1014\\\\=1079[/tex]

Thanks

The required sum of the arithmetic series 5+18 +31 +44 + ... 161 is 1079.

Given that,
Arithmetic series: 5+18 +31 +44 + ... 161.

The Sum of the series is to be determined.

What is arithmetic progression?

Arithmetic progression is the series of numbers that have common differences between adjacent values


Here,
From the given series
First term A = 5, Common difference D = 13 and last term L = 161
Last term = An + (n -1)
161 = 5 + (n - 1)13
n - 1 = (161 - 5) / 13
n = 12 + 1
n = 13

Now the sum of an arithmetic series,
S = n /2 (A + L)
S = 13 / 2 (5 + 161)
S = 13 / 2 * 166
S = 13 * 83
S = 1079

Thus, the required sum of the arithmetic series 5+18 +31 +44 + ... 161 is 1079.

Learn more about arithmetic progression here: https://brainly.com/question/20334860
#SPJ2

[128 ÷ (6 + 4 – 2)] X 8

Answers

Do parentheses first:

6 +4-2 = 8

Now do brackets:

128/8 = 16

Now multiply:

16 x 8 = 128

The answer is 128

Follow the order BDMAS when solving such questions
B for brackets
D for division
M for multiplication
A for addition
S for subtraction

at the mall myla bought a shirt for 25.36$ a hat for 5.09$ and a belt for 11.45$ howe much did she spend altogether?

Answers

25.36+5.09+11.45= 41.9$ intotal

Answer:

41,9

Step-by-step explanation:

25.36+5.09+11.45

2) 200

3) 20

4) 10

5) 170

6) 55plz help i will mark the brainliest

Answers

Answer:

natural numbers - positive integers (whole numbers)

• 1

• 2

• 3

• 4

• 5

whole numbers - a number without fractions

• 10

• 11

• 12

• 13

• 14

rational numbers - a number that can be expressed as the ratio of two integers

• 1/3 or 0.3333...

• 17

• -34

• 25

• -10

integers - a whole number; a value that is not a fraction

• -5

• 49

• 68

• 439

• 35

A bicycle tire is 28 inches in diameter. Approximately how far does the bicycle move forward each time the wheels go around (use22/7 as an approximation for pie

Answers

Answer: About 88 inches

=============================================

Explanation:

Find the circumference

C = pi*diameter

C = (22/7)*28

C = 88

The tire's circumference is approximately 88 inches. This is the perimeter or distance around the circle. As the bike moves forward one full rotation of the wheel, all of the wheel will touch the ground at some point. The bike will move about 88 inches forward when the wheel does one full rotation.

A good way to visualize this is to imagine cutting the tire so that you can unroll it to lay it out completely flat forming a straight line. This line will be roughly 88 inches long.

What is the slope of the equation y=5/4x-7/4?

Answers

Answer:

[tex]\Large \boxed{\frac{5}{4} }[/tex]

Step-by-step explanation:

The slope - intercept form of a line is written in the form :

[tex]\sf y = mx+b \\ \\ \\ m=slope \\ \\ b=y-intercept[/tex]

The slope of the line is 5/4.

Answer:

5/4

..............

simplify the expression 3+2^2 / 2+3

Answers

Ans

8 option b.

Step-by-step explanation:

3+4/2+3

=3+2+3

=5+3

=8

Given: f(x) = X^2 - 3 and g(x) = X + 1 The composite function g°f is:_______.

Answers

Answer:

x² - 2

Step-by-step explanation:

To obtain (g ○ f)(x), substitute x = f(x) into g(x), that is

g(x² - 3)

= x² - 3 + 1

= x² - 2

Answer:

✔ x² - 2

Step-by-step explanation:

EDG 2020

An object has a potential energy of 14 J and a mass of 17 kg , how far above the ground is the object? An object moving with a speed of 35 m/s and has a kinetic energy of 1500 J, what is the mass of the object. What is the Potential Energy of a 1200 kg object that is 24 m above the ground? What is the Potential Energy of a 478 kg object that is150 m above the ground? What is the Potential Energy of a 100 kg object that is 12.5 m above the ground? An object has a potential energy of 14 J and a mass of 17 kg , how far above the ground is the object? An object is 35 m above the ground and has a potential energy of 1500 J, what is the mass of the object?

Answers

1. Potential Energy = mgh

h = U_g / (mg) = 14 / (17 * 9.81) = 0.084 m above the ground.

2. Kinetic Energy = 1/2 mv^2

m = 2K_e / (v^2) = 2.45 kg

3. U_g = mgh = (1200)(9.81)(24) = 282528 J

4. U_g = mgh = (478)(9.81)(150) = 703377 J

5. U_g = mgh = (100)(9.81)(12.5) = 12262.5 J

6. h = U_g / (mg) = 14 / (17 * 9.81) = 0.084 m above the ground.

7. m = U_g / (gh) = 1500 /  (9.81 * 35) = 4.37 kg

Simplify: -8 +2 +3 (-7)

Answers

Answer:

-8/4-21x

Step-by-step explanation:

Distribute inside the parantheses

Divide -8 and 4

Add the two terms

Simplify

There is 26 letters in the alphabet A=1 B=2 C=3 and so on Z+Z=?+D-A then take the number you get then turn it into a letter ?+F-K+L=? This is One of the hardest questions i made!!!!

Answers

Answer:

I got (G^B) +F-K+L= (G^B)

Step-by-step explanation:

Write a proper fraction to represent the shaded part. If an improper fraction is​ appropriate, write the shaded part of the diagram as​ (a) an improper fraction and​ (b) a mixed number.

Answers

9/7 (a)

(b) 1 whole 2/7 is the answer of ur question

What is the quotient of the rational expression below?

Answers

Answer:

first answer

Step-by-step explanation:

Hello, you know that

[tex]\dfrac{\dfrac{a}{b}}{\dfrac{c}{d}}=\dfrac{a}{b}\cdot \dfrac{d}{c}[/tex]

So, the quotient we need to estimate is

[tex]\begin{aligned}\dfrac{x^2-36}{x+8}\cdot\dfrac{4x+32}{x^2+12x+36}&=\dfrac{x^2-6^2}{x+8}\cdot \dfrac{4(x+8)}{(x+6)^2}\\\\&=\dfrac{4(x-6)(x+6)}{(x+6)^2}\\\\&=\dfrac{4(x-6)}{x+6}\end{aligned}[/tex]

Thank you

Negative of (-5) does not exist is true or false

Answers

Answer:

Negative of 5 exists

It continues in the left part of a number line...

Hence the answer is false it does exist

One is the additive identity. True or False

Answers

Answer: false

Additive identity - the number 0; when added to any number, the value of the number does not change

( one is multiplicative identity )

2(-2a-4d)-(9a+17d) combining like terms

Answers

Here's what I got. Hope you understand

i need help i will give the brainliest

Answers

Answer:

the answers are

13) -6

14) 6

15) -5

16) 3

17) 14

18) -4

19) -15

20) 4

21) 5

22) -12

From the given figure 7 ,find the value of x if AB is parallel CF and AE = DE, angle BAE = 38°.

Answers

*see the given given in the attachment below

Answer:

x = 109°

Step-by-step Explanation:

Since AB is parallel to CF, m<BAE = m<AED = 38° (alternate interior angles are congruent)

Since AE = DE, ∆AED is an isosceles ∆.

The two base angles of any given isosceles ∆ are said to be congruent.

This means, m<EAD = m<EDA = ½(180 - m<AED)

m<EDA = [tex] \frac{1}{2}*(180 - 38) [/tex]

m<EDA = [tex] \frac{1}{2}*(142) = 71 [/tex]

x + m<EDA = 180° (angle on a straight line)

[tex] x + 71 = 180 [/tex]

[tex] x + 71 - 71 = 180 - 71 [/tex]

[tex] x = 109 [/tex]

Value of x = 109°

It is estimated that 65.5% of the students at Foster Middle School will attend the benchmark reward party. Which number is NOT equivalent to 65.5%

Answers

Answer:

I am not totally sure but the answer might be 0.0655.

Make the number 18 using six "1"s.

Answers

Answer:

(11-1-1)(1+1)

Step-by-step explanation:

revised

A work shift for an employee at a restaurant consist of 8 hours.What fraction of the employee’s work shift is represented by 6 hours ?

Answers

Answer:

Fraction of work shift represented by 6 hours = 0.6

Step-by-step explanation:

Total work shift of employee = 10 hours

Time considered  to find fraction = 6 hours

Fraction of work shift represented by 6 hours  6/10=3/5=0.6=60%

Fraction of work shift represented by 6 hours = 0.6

Answer:

0.75

Step-by-step explanation:

Total work shift of an employee is 8 hours

Time consist to find fraction is 6 hours

The fraction of work shift by 6 hours :

[tex]\frac{6}{8}[/tex]  =  [tex]\frac{3}{4}[/tex] = 0.75 = 75%

Evaluate ( z^2 + 4 ) ( z^2 – 5)

Answers

Answer:

z^4-z²-20

Step-by-step explanation:

( z^2 + 4 ) ( z^2 – 5)

z^4+4z²-5z²-20

z^4-z²-20

This is the last one, i truly appreciate all the help u guys have given me.

Answers

Answer:

it's rational ..........

Need help with this have no idea how to do it

Answers

Answer:

Step-by-step explanation:

x- intercept, vertex (v) and axis of symmetry, parabola form:x²+bx+c

vertex(h,k)

1- f(x)=(x+3)(x-3) change into parabola form

f(x)=x²-9  a=1,b=0 ,c=-9

h=-b/2a=0

k=f(0)=-9

vertex(0,-9) , x intercept is when f(x)=0

(x-3)(x+3)=0 either x-3=0⇒ x=3 or x+3=0 then x=-3

x=3, x=-3 (-3,0) and (3,0)

the x of symmetry is the h of the vertex=0

2-g(x)=(x+1)(x-3)

g(x)=x²-2x-3 a=1, b=-2,c=-3

h=-b/2a⇒-(-2)/2(1)⇒h=1

k=f(1)=1²-2(1)-3⇒k=-4

v(1,-4)

x of symmetry=h=1

(x+1)(x-3)=0

x+1=0⇒x=-1 (-1,0)

x-3=0 ⇒x=3  (3,0)

x intercept :-1,3

3-y=-x(x+6) ⇒y=-x²-6x a=-1,b=-6, c=0

vertex(-3,9)

x intercept:(0,0) and (-6,0)

axis of symmetry =-3

4-g(x)=2(x-5)(x-1) ⇒ 2x²-12x+10 a=2, b=-12, c=10

vertex(3,-8)

axis of symmetry=3

x intercept : (5,0), (1,0)

5) -4x(x+1)⇒-4x²-4x a=-4,b=-4

vertex(-1/2,1)

x of symmetry=-1/2

x intercept : (0,0)(-1,0)

6- f(x)=-2(x-3)² ⇒-2x²+12x-18

vertex(3,0)

x intercept (3,0)

axis of symmetry = 3

4 times the sum of a number and 8 gives 25

Answers

Answer:

4×(x+8)=25.

use the 4 to multiply the numbers in the bracket.

which is 4x+32=25.

then collect like terms which is...

4x=25-32...

4x=-7.

x=-7/4= -1.75 or -1 whole number 3/4.

A steel pipe which was 16.84 feet long, weighed 20.88 pounds what is the weight of one foot of the steel pipe?

Answers

The weight of one foot of the steel pipe is 1.24 pounds or more accurately, 1.239905.... pounds.

This type of problem is solved using cross multiplication. You know the length (16.84 feet), and the weight (20.88 pounds), of the steel pipe. But what you do not know is the weight of one foot of the steel pipe. Since that is what we are solving for, the weight of one foot of the steel pipe will be our x variable.

This is how I set it up...

16.84 1
——— * ———
20.88 x

I came up with this equation. The length of the pipes I put in the numerator (top), and the weight I put in the denominator (bottom). Since 16.84 feet of a steel pipe weighs 20.88 pounds, 1 foot of a steel pipe weighs x pounds. After you have the equation set up you then move on to cross multiplication.

Step 1: Multiply the top number of the first fraction by the bottom number of the second fraction.
16.84*x= 16.84x

Step 2: Multiply the bottom number of the first fraction by the top number of the second fraction.
20.88*1=20.88

Step 3: Set the answers from step 1 and step 2 equal to each other.
16.84x=20.88

Step 4: Divide 16.88 on both sides so x is by itself.
16.84x 20.88
——— = ———
16.84 16.84

And after you divide on each side you have your answer which should be x=1.24
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