What are the solutions of this quadratic equation? x2-6x=-58

Answer: R47.66

Step-by-step explanation:

Assuming this amount of R42.42 is Indian Rupees, then the relevant VAT rate to use is 12.36% which is the VAT rate in India.

The VAT inclusive amount is therefore:

= 42.42 * ( 1 + tax rate)

= 42.42 * ( 1 + 12.36%)

= R47.66

After 2 years there will be 6257 research papers published from now if the Dr. Carey's area of expertise has been increasing by 3% every year.

It is defined as the function that rapidly increases and the value of the exponential function is always a positive. It denotes with exponent \(\rm y = a^x\)

where a is a constant and a>1

We have:

The number of research papers in Dr. Carey's area of expertise has been increasing by 3% every year.

We are assuming there is exponential increase.

So,

After 2 years the published research papers (a)

a = 34,176(1 + 0.03)²

Because increasing by 3%(0.03) every year.

a = 34176(1.03)²

a = 36257.31 ≈ 36257 research papers

Thus, after 2 years there will be 6257 research papers published from now if the Dr. Carey's area of expertise has been increasing by 3% every year.

Learn more about the exponential function here:

brainly.com/question/11487261

#SPJ1

Answer:

175

Step-by-step explanation:

5/24 = 0.208 percentage of defective bolts

scale up to 840 bolts by finding 20.8% of defective bolts

840*20.8 = 175

ok

angles 5 and 6 are supplementary angles

then, the addition of supplementary angles equals 180°

5 + 6 = 180°

angle 6 = 97°

Substitution

5 + 97 = 180

5 = 180 - 97

5 = 83°

Result

Angle 5 = 83°

Answer:

330

Step-by-step explanation:

3 to the 4th power is 81, then 81 x 3 is 324, then 324+6 is 330

Answer:

330

Step-by-step explanation:

3⁴= 81

4×81=324

324+6

=330

Answer: x=2/3

Step-by-step explanation:

Answer:

Increase, Decrease

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

evry step is in the picture

The quartiles of the distribution are given as follows:

The sample size of the distribution is of:

n = 40.

The first quartile is the value that is greater than 25% of the distribution, hence it is the value at the position which is 25% of the sample size, hence:

The second quartile is the value that is greater than 50% of the  distribution, hence it is the value at the position which is 50% of the sample size, hence:

The third quartile is the value that is greater than 75% of the  distribution, hence it is the value at the position which is 75% of the sample size, hence:

More can be learned about the quartiles of a distribution at https://brainly.com/question/9265525

#SPJ1

Answer:

0.001km

1km is 1000m

So, 1m is 1m divided by 1000km

Which gives 0.001km

There are 0.001 kilometres in 1 metre.

1000 metre =1 kilometre

1 metre=1/1000 kilometre

Answer:

x =68

Step-by-step explanation:

The sum of the angles of a triangle are 180

37+75+x = 180

Combine like terms

112+x = 180

Subtract 112 from each side

112+x-112=180-112

x =68

Answer:

The equation looks like this x-(-22)=11x

The answer for the equation is x=11/5

Step-by-step explanation:

Difference between a number (x) and -22

Difference means subtract so x subtracted by -22

x-(-22)

Is equal to: which means you put a =

the number times 11

number is x so x times 11 is 11x

The equation looks like this:

x-(-22)=11x

simplify

x+22=11x

Move x to the other side:

22=10x

Divide 10 on both sides:

x=22/10

Simplify

x=11/5

Hope this helps!

Answer:-11/5

Go Step-by-step-

The difference... -

between a number and 22.... n-22

equal to number times 11...

n-22=11n

subtract n

-22=10n

x=-11/5

The standard deviation of the possible outcomes is to be considered as the 10.25.

Since there is a binomial trial has a probability of success of 0.3, and 500 trials are performed.

So here

q = 1 - P

= 1 - 0.3

=0.7

Now the standard devation be like

\(= \sqrt{500\times 0.3 \times 0.7}\)

=  10.25

hence, The standard deviation of the possible outcomes is to be considered as the 10.25.

Learn more about standard deviation here: https://brainly.com/question/15699543

Answer:

When two triangles are similar, the reduced ratio of any two corresponding sides is called the scale factor of the similar triangles.

Step-by-step explanation:

Answer: its not correct because the got different perenties or groupings and they mean different meaning  

Step-by-step explanation:

Answer:

x<6/5, x>14/5

Step-by-step explanation:

Steps

$5\left|x-2\right|+4>8$

$\mathrm{Subtract\:}4\mathrm{\:from\:both\:sides}$

$5\left|x-2\right|+4-4>8-4$

$\mathrm{Simplify}$

$5\left|x-2\right|>4$

$\mathrm{Divide\:both\:sides\:by\:}5$

$\frac{5\left|x-2\right|}{5}>\frac{4}{5}$

$\mathrm{Simplify}$

$\left|x-2\right|>\frac{4}{5}$

$\mathrm{Apply\:absolute\:rule}:\quad\mathrm{If}\:|u|\:>\:a,\:a>0\:\mathrm{then}\:u\:<\:-a\:\quad\mathrm{or}\quad\:u\:>\:a$

$x-2<-\frac{4}{5}\quad\mathrm{or}\quad\:x-2>\frac{4}{5}$

Show Steps

$x-2<-\frac{4}{5}\quad:\quad x<\frac{6}{5}$

Show Steps

$x-2>\frac{4}{5}\quad:\quad x>\frac{14}{5}$

$\mathrm{Combine\:the\:intervals}$

$x<\frac{6}{5}\quad\mathrm{or}\quad\:x>\frac{14}{5}$

There are 19 members from 00 to 18 who do not equal 18.

There are 19 members from 19 to 37 who do not equal 18.

There are 3 members in the age range of 38 to 40, not 2.

Given info,

Explain what is wrong with each of the following simulation designs.

⇒ A roulette wheel has 38 colored slots - 18 red, 18 black members green. To simulate one spin of the wheel, let members 00 to 18 represent red, 19 to 37 represent members and 38 to 40 represent green.

The mistake is;

→ There are 19 member from 00 to 18 which is not 18.

→ There are 19 member from 19 to 37 which is not 18.

→ There are 3 member from 38 to 40 which is not 2.

To learn more about simulation designs click here:

brainly.com/question/28580131

#SPJ4

Answer:

vertices in total will coincide = 1174/2 = 587

Step-by-step explanation:

1st polygon: 1174 sides, 1174 vertex, arc for between 2 vertex= 360°/1174 (arc1)

2nd polygon: 2935 sides, 2935 vertex, arc for between 2 vertex= 360°/2935 (arc2)

360°/1174 = (360°/2935) x (5/2)  (every 2.5 arc2 = 1 arc1)

It means every 5 arc2 = 2 arc1, this is the 2nd vertex coincide

vertices in total will coincide = 1174/2 = 587

check: 2935/5 = 587

The number of sea stars is 64.

What is a ratio?

Comparing two amounts of the same units and determining the ratio tells us how much of one quantity is in the other.

In general, a: b, which can be interpreted as "a is to b," is used to denote a ratio between two quantities, let's say "a" and "b."

This ratio is expressed in fraction form as a/b. We utilize the same method for further simplifying a ratio as we use for further simplifying a fraction.

According to the question,

Ratio of sea stars to wolf eels = 4:5

Number of rock fish= 5/8 (Number of sea stars)

Number of wolf eels - Number of rock fish = 40

Using the given information, we get,

Number of sea stars = 8/5 (Number of rock fish)

On simplification,

Number of wolf eels = 80

So, number of sea stars = (4/5)*80

                                          = 64

Learn more about ratios here:

https://brainly.com/question/2328454

#SPJ1

Answer:

n+5=42, n=37

Step-by-step explanation:

Using the words given you can write the equation

n+5=42, then solve using algebra

n+5-5=42-5

n=37

Answer:

37

Step-by-step explanation

HI

ok say you say the sum of n and 5 equals 42.

so you subtract 42 and 5 which equals 37 .

so n (37) + 5 = 42

hope this helps :)

Answer:

60miles

Step-by-step explanation:

if they drove x miles in the city and y miles on the highway then you know that

x + y = 280

x/12 + y/20 = 16

x + 12y/20 = 16*12 = 192

8y/20 = 88

y = 220

x = 280-y = 280-220 = 60

The average rate of change for the function f(x)= 3^x + 25 using the intervals of x=2 to x=6 is 6.75

The function is given as:

f(x) = 3^x + 25

The interval is given as:

x = 2 to 6

Start by calculating f(2) and f(6)

f(2) = 3^2 + 25 = 34

f(6) = 6^2 + 25 = 61

The average rate of change is then calculated as:

\(m = \frac{f(6) - f(2)}{6 -2}\)

This gives

\(m = \frac{61 - 34}{6 -2}\)

\(m = \frac{27}{4}\)

m = 6.75

Hence, the average rate of change is 6.75

Read more about average rate of change at:

https://brainly.com/question/8728504

Did u get your answer I really need this fast

Answer:

Quotient: 4x^2+5x+12 ; reminder: 29

Step-by-step explanation:

Answer:

The probability is 3.125%

Step-by-step explanation:

From the question, we are told that the probability that it rains on a particular day is 50% = 50/100 = 1/2

So the probability that it rains for the 5 days continuously will be ;

1/2 * 1/2 * 1/2 * 1/2 * 1/2 = 1/32 = 0.03125

which is 3.125%

The value of the inverse of the equation is this: x³ -3 = y

To find the inverse of the equation follow these steps:

1. Replace H(x) with y.

y = (x + 4)³ - 1

2. Interchange the values of X and Y.

X = (y + 4)³ - 1

3. Find the cube root of both sides

x³ = y + 4  - 1

4. Find the value of y

x³ - 4 + 1 = y

x³ -3 = y

Learn more about the inverse of an equation here:

https://brainly.com/question/3831584

#SPJ1

Answer: Refinance the Ballon Payment

The length of the rectangle given the area as 12 is 6

Area of a rectangle = Length × width

Area of a rectangle = Length × width

12 = (w + 4) × w

12 = w² + 4w

w² + 4w - 12 = 0

Solve the quadratic equation using factorization

w² + 6w - 2w - 12 = 0

w(w + 6) - 2(w + 6) = 0

(w + 6) (w - 2) = 0

w + 6 = 0 or w - 2 = 0

w = -6 or w = 2

Hence,

width of the rectangle can not be negative.

Length of the rectangle = w + 4

= 2 + 4

= 6

Therefore, 2 is the length of the rectangle.

Read more on area of rectangle:

https://brainly.com/question/25292087

#SPJ1