Convert 7200 seconds into weeks. Round to the nearest hundredth

The simplified value of the expression is -7/3 - 2√10/3.

To simplify means to make anything easier. In mathematics, simplifying an equation, fraction, or problem means taking it and making it simpler. Calculations and problem-solving techniques simplify the issue. By eliminating all common factors from the numerator and denominator and putting the fraction in its simplest/lowest form, we can simplify fractions.

Given (√2 + √5)/(√2 - √5)

simplifying the expression by rationalization

multiply and divide by (√2 + √5)

= (√2 + √5)/(√2 - √5) x (√2 + √5)/(√2 + √5)

= (√2 + √5)²/((√2)² - (√5)²)

using property (a + b)² = a² + b² + 2ab

= (2 + 5 + 2√10)/(2 - 5)

= -(7 + 2√10)/3 = -7/3 - 2√10/3

Hence the simplified form is -7/3 - 2√10/3.

Learn more about simplification;

https://brainly.com/question/2804192

#SPJ1

The measure side UV will equal 11 if triangle TUV is dilated by a scale factor 1/3 having a side U'V'=33.

The scale factor is the ratio of the length of a side of one figure to the length of the corresponding side of the other figure. It is a process of enlarging the image of an object by some factor.

here we have the scale factor

\(Scale \ Factor=\dfrac{1}{3}\)

Since the triangle, TUV is dilated by the scale factor 1/3 then the sides of triangle will also be in the same dilation so we can write.

\(\dfrac{1}{3}=\dfrac{UV}{U'V'}\)

\(\dfrac{1}{3}=\dfrac{UV}{33}\)

\(UV=11\)

Hence the measure side UV will equal 11 if triangle TUV is dilated by a scale factor 1/3 having a side U'V'=33.

To know more about Scale factor follow

https://brainly.com/question/25722260

#SPJ1

Answer:

B. (-5,-4)

Step-by-step explanation:

The answer must be at the point where the two functions intersect. They meet at the points (-5,-4) and (2,0). Since (2,0) is not an answer choice, (-5,-4) must be the answer.

Answer:

3

Step-by-step explanation:

Toda la futura variación de pizzas se ha elaborado con cuatro ingredientes distintos: la base, la salsa, el queso y la cobertura. Pero, dado que no hay cobertura, la respuesta sería 3.

-LavenderVye

Standard Deviation for given set of data is 0.25634797778466.

What is standard deviation?

Given that,

Sample size :12.3,11.9,12.5,12.1,12.6,11.9,12.2,12.1

Count, N: 8

Sum, submission x: 97.6

Mean, x: 12.2

Variance, s2:  0.065714285714286

s^2 = Σ(xi - x)^2/N - 1

= (12.3 - 12.2)2 + ... + (12.1 - 12.2)^2/8 - 1

= 0.46/7

=  0.065714285714286

s =  √0.065714285714286

=  0.25634797778466

Standard Deviation for given set of data is 0.25634797778466.

To learn more about Standard Deviation visit:

https://brainly.com/question/26941429

#SPJ1

In linear equation, The number of customers who will pay by debit card will be 44.

Which equation is linear?

An algebraic equation with simply a constant and a first-order (linear) term, such as y=mx+b, where m is the slope and b is the y-intercept, is known as a linear equation.

                     Sometimes, the aforementioned is referred to as a "linear equation of two variables," where x and y are the variables.

16 + 33 + 6 = 55 customers.

That means that the fraction of the customers, who paid by debit card, was

6/55  

In situations like that, when we use historical data and try to predict future behaviour, we use that past experience and extrapolate to a predicted result.

we simply say that we expect the same fraction, 1/30 if customers use credit cards.

for the absolute number of predicted debit  card customers we multiply the predicted number of customers by the expected fraction

400  × 6/55 = 2400  /55  = 43.63 ≈ 44

Therefore the number of customers who will pay by debit card will be 44.

Learn more about  linear equation

brainly.com/question/29739212

#SPJ1

Answer:

(f-g)(x) = x-3

Step-by-step explanation:

f(x)=3x-2

g(x)=2x+1

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

Distribute the minus sign

3x -2 -2x -1

Combine like terms

x-3

Answer:

Step-by-step explanation:

3/5 - noodles

2/5 - orange juice

2/5 x 100 = $40

40 x 2/5 = $16  which is 4/25 in fraction form

B. 3/5 x 1.20 = 3.60/5 = $7.20 spent on noodles

Answer: 270 cubic centimeters

Step-by-step explanation:

bh/3 is the formula so...

because it's a right triangle we multiply the legs together:

9*12 = 108

and we divide by 2

108/2 = 54

height is 15

(15*54)/3 = 810/3 = 270

Our answer is 270 cubic centimeters.

Answer:

Several ways, take the diameter and divide it by half.

Take the circumference "C" and r = C/2π

Step-by-step explanation:

Answer:

a) 3/2 or 1.5

b) 2/3 or ≈.66

Step-by-step explanation:

AB corresponds to DE because they are both the longest sides of their respective triangles.

a) The scale factor would be what you would multiply 8 by to get 12. 12/8 is 3/2 or 1.5

b) The scale factor would be what you multiply 12 by to get 8. 8/12 is 2/3 or ≈.66

Answer:

11/8 or 1.375

Step-by-step explanation:

if their asking you would take the 11/2 and divided it by 1/4  then you get 1.375 but in a fraction form it would be 11/8

i hope this helps

Step-by-step explanation:

23 by 13 is the answer cause 23 i s23

The statements that are true of the given function f(x) = 1/2x + 3/2 are:

f(0) = 3/2

f(2) = 7/2

f(4) = 7/2

We have,

Let's evaluate the given function f(x) = 1/2x + 3/2 for the given values of x and check which statements are true:

f(-1/2) = 1/2 * (-1/2) + 3/2 = -1/4 + 3/2 = (6 - 1)/4 = 5/4 = 1.25

Statement: f(-1/2) ≠ 2 (False)

f(0) = 1/2 * 0 + 3/2 = 0 + 3/2 = 3/2

Statement: f(0) = 3/2 (True)

f(1) = 1/2 * 1 + 3/2 = 1/2 + 3/2 = 4/2 = 2

Statement: f(1) ≠ -1 (False)

f(2) = 1/2 * 2 + 3/2 = 1 + 3/2 = 2 + 3/2 = 4/2 + 3/2 = 7/2

Statement: f(2) = 7/2 (True)

f(4) = 1/2 * 4 + 3/2 = 2 + 3/2 = 4/2 + 3/2 = 7/2

Statement: f(4) = 7/2 (True)

Therefore,

The statements that are true of the given function f(x) = 1/2x + 3/2 are:

f(0) = 3/2

f(2) = 7/2

f(4) = 7/2

Learn more about functions here:

https://brainly.com/question/28533782

#SPJ7

The length and the width of the model are Length = 2 and Width = 3x² + 5x + 6

The expression 6x cant be the length because 12 cannot divide 6x without becoming a radical expression

We have

Area = 6x² + 10x + 12

Factor out 2

Area = 2(3x² + 5x + 6)

This means that

Length = 2 and Width = 3x² + 5x + 6

Read more about area at

https://brainly.com/question/24487155

#SPJ1

I think the answers 3048_&8_9_)_)_

Answer:

535,095 different samples of size six that contain exactly 2 defective parts.

0.0337 = 3.37% probability that a sample contains exactly 2 defective parts.

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

As the order of the parts is not important, the combinations formula is used to solve this question.

Combinations formula:

\(C_{n,x}\) is the number of different combinations of x objects from a set of n elements, given by the following formula.

\(C_{n,x} = \frac{n!}{x!(n-x)!}\)

How many different samples are there of size six that contain exactly 2 defective parts?

2 defective from a set of 3, and 4 non-defective from a set of 47. So

\(D = C_{3,2}*C_{47,4} = \frac{3!}{2!1!}*\frac{47!}{4!43!} = 535095\)

535,095 different samples of size six that contain exactly 2 defective parts.

What is the probability that a sample contains exactly 2 defective parts?

The total number of samples is:

\(T = C_{50,6} = \frac{50!}{6!44!} = 15890700\)

Then...

\(p = \frac{D}{T} = \frac{535095}{15890700} = 0.0337\)

0.0337 = 3.37% probability that a sample contains exactly 2 defective parts.

Measures of   median  are the values located  at the middle of the  data set

The middle value in a sorted, ascending or descending list of numbers is known as the median, and it has the potential to describe a data collection more accurately than the average does. It reflects the midway of the data since it is the point above and below which half (50%) of the observed data falls.

The middle number is obtained by sorting all the data points and choosing the center one, or the middle two numbers, if there are two of them.

We use graph to interpret  dot plots

A line graph shows ordered pair plotted on the coordinate plane. The ordered pairs are connected with  line      segment

A bar graph uses  to central tendency  represent data

A     graph  divided into wedges called sectors

A sample of population is a subset of the     histogram  

A population is a complete set of all possible observation.

The mode i the most often repeated item in a data set.

The number of population in each interval is called frequency.

A mean uses ranges instead of individual  numbers to represent data.

To learn more about median refer to :

https://brainly.com/question/26151333

#SPJ1

Answer:

Letter A

Step-by-step explanation:

Just think: which number would have the greatest value if it was rounded to the nearest hundredth

Answer: A

Step-by-step explanation:

I think the answer is correct becuase, If we taken all the numbers and put them on a number line they would all be under one. But when we look at the number line we would see that .987 is the closest because it is almost a whole number. And even if we did it without the number line what ever number we see that has the greatest digit and its in the negatives thats the closest to one. (I hope what I said makes sense!)

Hope This Helps!

Answer:

i don't sir

Step-by-step explanation:

Answer:

first piece is 2 inches second piece is 4 inches third piece is 6 inches

Step-by-step explanation:

x=2

1(2) + 2(2) + 2(3)

Answer:

(x,y) → (x+ 6,y - 3)

Step-by-step explanation:

I think you posted this question earlier as well? Basically, x moves left and right, while y moves down and up. Therefore, if you wanted to move 3 units down, you would use y-3.

Answer:

\(\Huge \bold{\boxed{\boxed{\text{5\%}}}}\)

Step-by-step explanation:

To calculate the margin of error for the survey, we need to use the formula:

\(\large \text{Margin of error} = \large \text{$\frac{\text{Range of values}}{2}$}\)

The range of values is the difference between the upper and lower bounds of the interval. In this case, the lower bound is 22% and the upper bound is 32%, so the range of values is:

\(\large \text{Range of values = 32\% - 22\% = 10\%}\)

Substituting this value into the formula, we get:

\(\large \text{Margin of error = $\frac{10\%}{2}$ = 5\%}\)

Therefore, the margin of error on the survey is 5%.

Answer:

x = 22.5°

Step-by-step explanation:

DE // AB     ∠DEA ≅ ∠EAB = 2x

ΔEAB: interior angles  (180°-4x) + 2x + (180°-6x) = 180°

8x = 180°

x = 22.5°

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

You take items out of a square root if you have a pair of numbers or if you know the square root.  

\(\sqrt{48b^{7} }\)=\(\sqrt{4*4*3*bbbbbbb}\)

So I know the \(\sqrt{4}\)=2 so i can take both out so outside the root will be 2*2 and inside the root will be 3

Now for the b's for every pair there are, you can take that out.  There are 3 pairs of b's so b³ is outside and one b is left inside.

Answer:

4b³\(\sqrt{3b}\)

The number of cannonballs in illustration is 506.

Math Illustrations enables you to produce more useful geometry figures for your students in less time by fusing the constraint-based design of Geometry Expressions with simple-to-use sketching and graphing features.

The number of cannonballs in the first layer = 1² = 1

Number of cannonballs in the second layer = 2² = 4

Number of cannonballs in the third layer = 3² = 9

So, the generalized formula to count the balls is given as

= n(n + 1) (2n + 1)/ 6

Here, n= the total number of layers

Put n =11

11(11 + 1)(2(11) + 1) / 6

= 11(12)(23)/6

= 3036/6
= 506

To learn more about illustration, visit:

https://brainly.com/question/17221744

#SPJ1

Step-by-step explanation:

72km/h = 72,000m/3,600s = 20m/s.

Using Kinematics, we have

v = u + at

= (20m/s) + (-2m/s²)(5s)

= 10m/s.

Hence the velocity will be 10m/s. (or 36km/h)

It will take approximately 28.67 years for Talwar's investment of R5,800 to grow to R26,100 at a simple interest rate of 12.2% per annum.

To calculate the number of years it will take for Talwar's investment to grow to R26,100 at a simple interest rate of 12.2% per annum, we can use the formula for simple interest:

Simple Interest = Principal × Rate × Time

Given that the principal (P) is R5,800, the rate (R) is 12.2% (or 0.122 as a decimal), and the desired amount (A) is R26,100, we need to find the time (T) it will take. Rearranging the formula, we get:

Time = (Amount - Principal) / (Principal × Rate)

Plugging in the values, we have:

Time = (R26,100 - R5,800) / (R5,800 × 0.122)

= R20,300 / R708.6

≈ 28.67 years

For more such questions on investment

https://brainly.com/question/29227456

#SPJ8

Answer:

Tan 50 = H/24

Step-by-step explanation:

The set up will give a right angled triangle;

Given the following

angle of elevation = 50degrees

Distance of elevation from the flagpole base = 24m (Adjacent)

Required

Height of the flagpole (Opposite) = H

Using the SOH CAH TOA identity

Tan theta = opposite/adjacent

Tan 50 = H/24

H = 24tan50

H = 24(1.1918)

H = 28.60

Hence the required expression is Tan 50 = H/24 where H is the height of the flagpole

The height of the flagpole is 28.60.

Given

The angle of elevation to the top of a flagpole is 50 degrees.

The angle of elevation was measured 24 from the base of the flagpole.

The angle of elevation of the sun is the angle formed between the horizontal line and your line of sight when you look at the sun.

Let the height of the flagpole be H.

Then,

The height of the flagpole is given by;

\(\rm Tan\theta=\dfrac{Opposite \ side}{Adjacent \ side}\\\\\)

Substitute all the values in the formula;

\(\rm Tan\theta=\dfrac{Opposite \ side}{Adjacent \ side}\\\\ \rm Tan50=\dfrac{H}{24}\\\\H = 24 \times tan50\\\\H = 24\times 1.91\\\\H=28.60\)

Hence, the height of the flagpole is 28.60.

To know more about the angle of elevation click the link given below.

https://brainly.com/question/12992313