15 man can do a piece of work in 80 days . If 5 man are added, how long will it take to ccomplete same piece of work.​

A function in mathematics is a relation between two sets such that each element of the first set is matched to exactly one of the second set element

The correct option for the maximum velocity of the object is the option;

13 cm/s

The reason for the selection is as follows:

The known parameters of the motion of the vehicle are:

The type motion of the vehicle = Repetitive back and forth

The path of the motion of the object = Along a straight line

The function that gives the velocity in centimeters per second (cm/s) is given as follows;

[tex]v(t) = \mathbf{13 \cdot sin \left(\dfrac{\pi}{45} \cdot t \right)}[/tex]

Where;

t = The time in seconds (a set of the input variables of the function)

v(t) = The velocity of the object (the output variables of the function)

The velocity of the object, v(t), depends (is given by) on the time t, therefore;

The maximum velocity is given at a particular value of t, which together with [tex]\dfrac{\pi}{45}[/tex] is operated by the sine function

The maximum output value of the sine function = 1, therefore;

[tex]\mathbf{Maximum \ value \ of \ sin \left(\dfrac{\pi}{45} \cdot t \right)_{max}} = 1[/tex]

[tex]The \ maximum \ velocity \ v(t)_{max}} = 13 \times sin \left(\dfrac{\pi}{45} \cdot t \right)_{max} = 13 \times 1 = \mathbf{ 13}[/tex]

The units of the of the function is cm/s

Therefore, the maximum velocity of the object is 13 cm/s

Learn more about functions here:

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Answer: B. 13 cm/s

Step-by-step explanation:

Answer:

-2gf

Step-by-step explanation:

Step-by-step explanation:

16d+23=14(d−2)

16d+23=14d−28

16d-14d=-28-23

2d=-51

d=51/2

d=25.5

Answer:

d= -25.5

Step-by-step explanation:

Isolate the variable by dividing each side by factors that dont contain the variable.

exact form: d=[tex]-\frac{51}{2}[/tex]

decimal form: d= -25.5

Mixed number form: d= [tex]-25\frac{1}{2}[/tex]

Answer:

Option 3

Step-by-step explanation:

If he burned off 400 calories from 1500 consumed calories, he has 1100 consumed calories.  1900 - 1100 = 800 calories left to consume.

While option 2 also says no, it's not the right reason.  

The calories left to consume for the day is 800 calories.

No, 1,100 will cause him to exceed 1,900.

Given,

Jace has consumed 1,500 calories so far today.

He has also burned off 400 calories at the gym.

He would like to keep his daily calorie total to 1,900 calories per day.

We need to find how many calories he has left to consume for the day.

And see which option is the best choice.

We have,

Calories consumed in a day = 1500

Burned calories = 400

Calories to keep in a day = 1900

Find the Calories left

= 1500 - 400

= 1100

Find how many calories need to be consumed to keep 1900 calories.

= Calories needed to keep in a day - calories remaining after burned

= 1900 - 1100

= 800

We see that the calories left to consume is 800 calories.

So 1100 is not a viable solution. It will cause him to exceed 1,900.

Thus,

The calories left to consume for the day is 800 calories.

No, 1,100 will cause him to exceed 1,900.

Learn more about finding the calories needed to consumed to keep daily calories here:

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#SPJ2

Answer:

https://www.teachoo.com/3815/705/Example-35---Find-dy-dx--if-x--at2--y--2at---Class-12-CBSE-/category/Examples/

The percentage of males in the distribution is 46% and it represents the marginal distribution of males in the population.

To obtain the percentage of males out of the total respondent ; we use the relation ;

Number of males / total number of respondents

Number of males = (31 + 34 + 64 + 109 + 75) = 313

Number of females = (22 + 70 + 70 + 112 + 98) = 372

Total number of respondents = (number of males + number of females) = (313 + 372) = 685

Percentage of males = (313 / 685) × 100% = 45.69% = 46%

This percentage represents the marginal distribution of males as it is the percentage of just one of the random variables.

If the percentage represents more than one such that one variable depends on the other, then it would have represented a conditional distribution.

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Answer:

10 to the power of 4

Step-by-step explanation:

[tex](10^{5} )^{2} \\= 10^{10} \\\\(10^{2})^3\\= 10^(6)\\\\[/tex]

You then subtract the powers since you are dividing by the same base exponent of 10.

10 - 6 = 4

10^4

Answer:

$148

Step-by-step explanation:

$9.25 x 16 hours = $148

Answer:  72 degrees, if I read the question correctly.

Step-by-step explanation:  The sum of all the angles in a complete circle is 360 degrees.  Angles oppor=site each other are equal, so we have two angles of 95 degrees each, for a total of 190.  That leaves 170 for the other two angles, which are also equal,  So they must 85 each.  If I read the diagram correctly, it assigned this angle equal to d + 13,  I have no clue why, but if so:

 d + 13 = 85

 d = 72 degrees

Answer:

4 hours and 3.75 minutes

Step-by-step explanation:

[tex]162\frac{1}{2}\div40\\= 4.0625or4\frac{5}{80} or 4\frac{1}{16}[/tex]

This would be 4 hours and 3.75 minutes

Answer:

Option D

SEE IMAGE FOR SOLUTION

Hope it helps

Have a great day

Answer:

hope this helps you

have a great day

If 0 is subtracted from any number, then the result is the Number itself.

Example :-

Answer:

x = -7

Step-by-step explanation:

3(x+8)=3

3x+24  =   3

    -24    -24

        3x = -21

3x    -21

3        3

x = -7

Answer:

Fill the boxes with x & 8

See the image.

Answer:

[tex]6i[/tex]

Step-by-step explanation:

We want to write the conjugate of the complex number:

[tex]-6i[/tex]

Recall that the conjugate of a complex number in the form a + bi is a - bi, and vice versa.

We can rewrite our complex number as:

[tex]\displaystyle 0 - 6i[/tex]

Hence, a = 0 and b = 6.

Then its conjugate will be:

[tex]0 + 6i = 6i[/tex]

Answer:

8

Step-by-step explanation:

because it is

Answer:

Predators (alligators): increased but then sharply decreased

Pollution: stayed the same but then decreased

Food (mosquitoes): decreased but quickly increased

Step-by-step explanation:

i d k what you want me to really do but this is what I think

yes they both have the same midpoint of (1,2)

For the midpoint of JK

[tex](\frac{-2+4}{2}, \frac{1+3}{2} )[/tex]

[tex](\frac{2}{2}, \frac{4}{2} )[/tex]

(1,2)

then for LN

[tex](\frac{0+2}{2}, \frac{3+1}{2} )[/tex]

[tex](\frac{2}{2}, \frac{4}{2} )[/tex]

(1,2)

Hey there! :)

Domain is the set of all x-values while Range is the set of all y-values!

When we want to find the domain of functiom through graph, we can do by finding the left point first and then the right point in x-plane or horizontal line.

The left point is (-4,0) and the right point is (4,0)

Since both points are opened, we use ( and ) instead.

Hence, the domain is (-4,4)

Next is finding range. Range is similar to Domain but y-value. You can find the range by finding the minimum point first then maximum point in y-plane or vertical line.

From the graph, minimum point is (-1,-3) and maximum point is (-4,0),(1,0) and (4,0)

Remember that we use the y-coordinate point for range! The minimum point and maximum point (1,0) both are closed dot. Since they are closed dot, we use [ or ].

Therefore, the range is [-3,0]

In conclusion, the answer is first choice.

Let me know if you have any questions!

Topic: Functions / Domain & Range

Answer:

5 | 20

3 | 12

4 | 16

Step-by-step explanation:

y = 4x so just multiply each x value by 4 to get the y value

Answer:

X | Y

5 | 20

3 |12

4 |16

Step-by-step explanation:

What they actually means is

y=4x

So when x is 5, what is y? So u just change x to 5, since they told u x is 5

And same for the others

Step-by-step explanation:

the answer is in the image above

Answer:

Step-by-step explanation:

There is a possible issue in your question...

As written it can be interpreted in two ways

like this #1 :

 [tex]5^{2x} = 3(2^x)[/tex]

or like this #2 :

  [tex]5^2x = 3(2^x)[/tex]

VERSION #1

divide by the 2^x

[tex]\frac{5^{2x} }{2^x} = 3[/tex]

to be able to get to the exponent you have to take "logs"

... look up the rules for logs ... log(ab) = log (a)+log(b) , log(a/b) = log(a)-log(b) etc.

if you take the logs of both sides the using the quotient rule and the exponent rule ....result the result is...

[tex]5^{2x}=3\left(2^x\right)\quad :\quad x=\frac{\ln \left(3\right)}{2\ln \left(5\right)-\ln \left(2\right)}\quad \left(\mathrm{Decimal}:\quad x=0.43496\dots \right)[/tex]

VERSION #2

[tex]5^2x\:=\:3\left(2^x\right)[/tex]

25 x = 3(2^x)

[tex]\frac{25}{3} = \frac{2^{x} }{x}[/tex]

This gets really nasty, and I assume that it is not the original problem..

[tex]x=-\frac{\text{W}_{-1}\left(-\frac{3\ln \left(2\right)}{25}\right)}{\ln \left(2\right)},\:x=-\frac{\text{W}_0\left(-\frac{3\ln \left(2\right)}{25}\right)}{\ln \left(2\right)}\quad \mathrm{ }:\quad x=5.52482 ,\:x=0.13144[/tex]

Answer:

Step-by-step explanation:

The perimeter (P) of a rectangle is equal to the sum of twice the length and twice the width.

For this problem, let x be the width.

Then because the length is 2 less than 3 times the width

The length is 3x - 2

Therefore, P = 2x + (2)(3x - 2) = 36

Solving this for x gives:

2x + 6x - 4 = 36

8x - 4 = 36

8x = 40

x = 5

Therefore, the width = x = 5 feet

And the length = 3x - 2 = (3)(5) - 2 = 13 feet

Answer:

0.8 euro

Step-by-step explanation:

Suppose the price of bottle of lemonade is x, when the bottle of water costs y.

Four bottles of lemonade cost 4x, two bottles of water cost 2y

4x+2y=2.45

Two bottles of lemonade cost 2x, four bottles of water cost 4y

2x+4y= 2.35

These equations( 4x+2y=2.45 and 2x+4y= 2.35) are simultaneous, so

multiply the first one by -2

-8x-4y=-4.9

-8x-4y+2x+4y= -4.9+2.35

-6x=-2.55

x=0.425 euro - the cost of bottle of lemonade

y=(2.45-4*0.425)/2

y=0.375 euro - the cost of bottle of water

0.425+0.375= 0.8 euro - the total cost  of one bottle of

lemonade and one bottle of water

Answer:

price of lenonade bottle is 0.425

price of water bottle is 0.375

Step-by-step explanation:

In explaination, 'x' is the value of lemonade bottle and 'y' is the value of water bottle.

All explaination is in picture below.

Hi! I'm happy to help!

To solve this, we have to use the order of operations, or PEMDAS. (parenthesis, exponents, multiplication or division, and addition or subtraction)

We will start out with parenthesis. Since there are no expressions inside of the parenthesis, we can remove them.

But, before we do that, we have a positive negative, the negative form of positive is negative, so we remove the plus sign as well as the parenthesis.

1.7+(-5)+(3.27)=

1.7-5+3.27=

Now since we have no exponents, multiplication, or division, we move on to addition or subtraction. We have some of both, so we move from left to right.

Our first equation is 1.7-5, so we do that first.

1.7-5+3.27=

-3.3+3.27=

Now, we only have one addition problem left, -3.3+3.27, so we'll do that.

-3.3+3.27=

-0.03

After this equation is fully simplified, we are at -0.03!

I hope this was helpful, keep learning! :D

This is Complementary angle

Measure of Complementary angles is 90°

[tex]\bf \large{\purple{ \implies}} \rm \:(2x) \degree \: + \: 40 \degree \: = \: 90 \degree[/tex]

[tex]\bf \large{\purple{ \implies}} \rm \:(2x) \degree \: = \: \: 90 \degree \: - \: 40 \degree[/tex]

[tex]\bf \large{\purple{ \implies}} \rm \:(2x) \degree \: = \: \: 50 \degree[/tex]

[tex]\bf \large{\purple{ \implies}} \rm \:(x) \: = \: \:\frac{ \cancel{50 \degree} \: ^{25 \degree} }{ \cancel{2 \degree}} \\ [/tex]

[tex]\bf \large{\purple{ \implies}} \rm \:x \: = \: 25 \degree[/tex]

Answer:

[tex]{ \bf{h( - 2) = \sqrt{ - 2} + \frac{1}{2} ( - 2) }} \\ \\ = i \sqrt{2} + - 1[/tex]

[tex]{ \bf{h(0) = \sqrt{0} + \frac{1}{2} \times 0}} \\ \\ = 0[/tex]

[tex]{ \bf{h(4) = \sqrt{4} + \frac{1}{2} \times 4}} \\ = 2 + 2 \\ = 4[/tex]

Answer:

Dillan worked for a total of 9.5 hours.

Step-by-step explanation:

8:00am to 1:00pm is a total of 5 hours,

1:30 to 6pm is a total of 4.5 hours, So 5+4.5= 9.5