The approximate weights of two animals are 5.36 x 104 lbs. and 6.2 x 104 lbs. Find the total weight of the two animals. Write the final answer in scientific notation with the correct number of significant digits.

Step-by-step explanation:

-2x - 7 > 1

-2x > 8

-x > 4

x < -4

that is a continuous line from -4 all the way to the left, and the dot on -4 is empty (meaning : it is not included due to the "<" symbol).

x - 2 >= -1

x >= 1

that is a continuous line from +1 all the way to the right, and the dot on +1 is filled (meaning : is IS included due to the ">=" symbol.

Answer:

In 9 hr it covers a distance of 828 km

In 1 hr it will cover a distance of 828 Divided 9 km = 92

In 6 hr it will cover a distance of   92 × 6 km = 552 km

All Done!

Answer:

552 Km

Step-by-step explanation:

find the speed in Km per hour then multiply by 6

828 Km ÷ 9 hours = 92 Km per hour

then distance covered in 6 hours is

distance = 6 × 92 = 552 Km

Answer:

[tex]x=\sqrt{13}[/tex]

Step-by-step explanation:

[tex]x^{2} - 6 - 7 = 0 \\x^{2} =13\\x=\sqrt{13}[/tex]

We use import math when we want to use the sin function in the math library, x= math. sin(3.14).

Similar to #include header_file in C/C++, that how to import function in python. The import statement brings in code from one module into another program, where modules are files that contain python code, and modules are used to group related code in a program, instead of rewriting the code again, you can reuse the same code in different files. To import code from a module a parameter is to be followed import module name ( where the import word is the keyword and the module name is the module you want to import  ).

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Answer:

KM = 1.5

Step-by-step explanation:

The first piece of info we get is that L is the midpoint of JM. This means that L = JM/2. The second piece of information provided is that K is the midpoint of JL, which means K = JL/2. We know that JL = 1, so we can plug it into the equation to help us figure out the problem. You can also illustrate to solve this problem, as I do here.  

Since JL = 1...

K = 1/2, K = 0.5

________________________________________________

J                       K(0.5)                        L                                          M                                                                                                  

 ___________           __________

        0.5                               0.5

Now with this information, we know that 0.5 represents the distance of 1/4 of JM. We know that KM is 3/4 of the number line, and we know that 1/4 of the line is 0.5. We multiply 0.5 * 3 to get our final answer.

FINAL ANSWER: KM = 1.5

4x+6y=5 and 2x+4y=3 are the 2 supplied lines. We must solve two simultaneous equations in order to determine the location at where these two lines cross.

When we multiply the second equation by two, we obtain the result 4x+8y=6. Next, we subtract this from the first equation to get -2y = -1, which equals y=1/2. N's coordinates are therefore (+1/2, +1/2).

The line we need to identify now goes through this point and is perpendicular to the line x+2y=0; its slope is -1/2 (the slope of the line [tex]ax+by+c=0[/tex] is -a/b). With m1*m2=-1, the line perpendicular to this one has a slope of 2. Consequently, the line that we must identify The slope of the equation is 2, and it goes through N. In order to simplify the equation, (y-1/2) = 2*(x-1/2), which results in 2y-1 = 2*(2x-1) and 2y-1 = 4x-2 and 4x-2y-1=0. The necessary equation is as follows.

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Answer:64

Step-by-step explanation: 12 x 2 = 24 and 20 x 2 = 40 and if you add it all up it equals 64 cubic yards please tell me if i'm wrong

The equation representing Main Street if Main Street passes through the point (5, 2) is; y = 2x - 8

We are given the linear equation that represents 5th Avenue as;

y = 2x - 3

Now, main street is parallel to 5th avenue and as such will have the same slope.

Thus, equation of the line passing through (5, 2) representing main street is;

y - 2 = 2(x - 5)

y - 2 = 2x - 10

y = 2x - 10 + 2

y = 2x - 8

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The number of the sheets in a ream of paper is a 500 sheets.

According to the statement

We have to find that the number pf paper sheets in a one ream.

So, For this purpose, we know that the

The standard form of a number is a way of writing the number in a form that follows certain rules.

From the given information:

A standard ream of paper plus another half ream of paper contains 750 sheets of paper.

It means

total number of sheets = 750 sheets

Then

one full ream + half ream = 750 sheets

Let x be a number of sheets

then

x + x/2 = 750

2x+x /2 = 750

3x/2 = 750

3x = 1500

x = 1500/3

x = 500.

So, The number of the sheets in a ream of paper is a 500 sheets.

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Answer:

75%

Step-by-step explanation:

15 over 20 is equal to 3/4 and 3/4 is 75%

The amount Juan & Jaquan each had in sales in July is approximately $725 and the equation for Juan's Earning is 525 + 1.75x and the equation for Jaquan's Earning 609 + 1.015x.

Unitary method:

Unitary method is defined as the process by which we find the value of a single unit from the value of multiple units and the value of multiple units from the value of a single unit.

Given,

Juan and Jaquan work for separate companies.

Juan earns $15 for each sale plus 5% commission.

Jaquan earns $21 for each sale plus 3.5% commission.

In July, Juan made 35 sales and Jaquan made 29 sales.

They made the same total salary.

Here we need to find the amount Juan & Jaquan each had in sales in July.

Let x be the total number of sales in July.

So, based on the given details we can written it as,

Juan earns,

=> 15 + 5%x

=> 15 + 0.05x

And Jaquan earns,

=> 21 + 3.5%x

=> 21 + 0.035x

So, in July, Juan made 35 sales and Jaquan made 29 sales,

Then

=> 35(15 + 0.05x)

=> 525 + 1.75x  -----------(Juan's Earning)

=> 29(21 + 0.035x)

=> 609 + 1.015x -----------(Jaquan's Earning)

And also in July, they made the same total salary.

So,

Juan's Earning = Jaquan's Earning

Then,

=> 525 + 1.75x = 609 + 1.015x

=> 1.75x - 1.0.15x = 609 - 525

=> 0.735x = 84

=> x = 84 / 0.735

=> x = 114.28

So, the total amount they earned in July is,

=> 525 + 1.75(114.28) = 609 + 1.015(114.28)

=> 525 + 199.99 = 609 + 115.99

=> 724.99 = 724.99

So, they earned approximately $725 in July.

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Answer:

40g/25ml

Step-by-step explanation:

The density formula is Mass/Volume. The rock is stated to have a mass of 40g, and the 20ml of water was displaced by 25ml, so, the rock has a volume of 25ml.

Percent of residents have at least one traffic violation with 80% held a valid driver’s license,10% has at least one traffic violation and 30% does not have valid license is 14%.

As given,

A=Person has a driver license

A'=Person does not have a driver license

P(A)=0.80

P(A')=0.20

For A, 10% has at least one traffic violation

For A', 30% had at least one traffic violation.

Probability with at least one traffic violation

=Probability of( A and one traffic violation +A' and one traffic violation)

=0.80(0.10)+0.20(0.30)

=0.08+0.06

=0.14

=14%

Therefore, percent of the residents with at least one traffic violation is 14%.

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Usando una función lineal, tenemos que:

Con cada año adicional, la cantidad en la cuenta es incrementada en 60.

Una función lineal es modelada por:

y = mx + b

En el cual:

En este problema, hay que la pendiente es de 60, puesto que en cada año la cantidad aumenta en $60, por eso:

Con cada año adicional, la cantidad en la cuenta es incrementada en 60.

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The runner should run for roughly around 54 minutes.

To find how many minutes must the runner run:

Minutes required are:

Therefore, the runner should run for roughly around 54 minutes.

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Answer:

21

Step-by-step explanation:

Subtract 7 from both sides to get the answer.

Answer:

-3=-18

-1=-8

0=-3

1=2

4=17

Step-by-step explanation:

if g(x)=5x-3 s substitute all x figures and calculate

Answer:

1

Step-by-step explanation:

The cardianality of the set {2, 4, 6, 8, 10, 12} is 6.

According to the given question.

We have a set {2, 4, 6, 8, 10, 12}.

Here, we have to find the cardianality of the set  {2, 4, 6, 8, 10, 12}.

As we know that, the cardinality of a set is a measure of the number of elements of the set.

From the given set {2, 4, 6, 8, 10, 12} we can say that the total number of elements in the given set is 6. So, the cardianality of the set is 6.

Hence, the cardianality of the set {2, 4, 6, 8, 10, 12} is 6.

Thus, option b is correct.

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Answer:

=> 7+u = 14; u = 7

Step-by-step explanation:

The sum of 7 and u is 14

=> u + 7 = 14

=> u = 14-7

=> u = 7

Answer:

-12

Step-by-step explanation:

Distribute

20y+20-y=16y-16

Combine like terms

19y+20=16y-16

subtract 16y from 19y and subtract 20 from -16

3y=-36

Divide by 3

y=-12

Answer:

8x^4y^2

Step-by-step explanation:

Just plug it in to the calculator and that will be your result.

The solution for the system of equations 3x + 6y = 6 and 2x + 2y = 6 is

B) There is one unique solution, (4, -1).

The solutions for a system of equation is the intersecting points between them

We know that system of equations has an infinite number of solutions when they coincide with each other as every point of a line falls into another line.

Systems of equations have a unique solution when they intersect each other and that intersecting point is the solution.

The system of equations has no solution when they are parallel to each other.

So, now we'll graph this system of equations and observe where they lie in XY coordinate.

Observing the graphs of both of these equations we can conclude that they have a unique solution (4,-1).

We can also solve these equations by multiplying equation(ii) by 3 and subtracting it from equation(i) and obtaining the values of (x,y).

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Lambert calls the difference between the angle-sum of a triangle and 180 degrees the defect.

Therefore, Lambert calls the difference between the angle-sum of a triangle and 180 degrees the defect.

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Answer:

24 25 26

Step-by-step explanation:

guess and check..................

Answer:

36 cm

Step-by-step explanation:

Answer is h(x) =[tex]\frac{1}{2}[/tex] cos ([tex]\frac{2}{3}[/tex]π +[tex]\frac{2}{3}[/tex]π ) - [tex]\frac{1}{2}[/tex]

∵The maximum point (- 2π. 3 )

        minimum point (- π / 2 , - 4)

and h(x) = a cos (b x + c)+ d

∴ a + d = 3                                d = - 1/ 2

                                  ⇒  

 -a + d = -4                              a = 7 / 2

{solve the equation}

and   -2πb + c = 0                      b = 2 / 3

                                       ⇒

       - ( π/ 2) b + c =  λ              c = 4 / 3 π

∴ h(x) =[tex]\frac{1}{2}[/tex] cos ([tex]\frac{2}{3}[/tex]π +[tex]\frac{2}{3}[/tex]π) - [tex]\frac{1}{2}[/tex]

Trigonometric functions are also known as Circular Functions can be simply defined as the functions of an angle of a triangle. It means that the relationship between the angles and sides of a triangle are given by these trig functions. The basic trigonometric functions are sine, cosine, tangent, cotangent, secant and cosecant

here detail explanation:

Sine Function

Sine function of an angle is the ratio between the opposite side length to that of the hypotenuse. From the above diagram, the value of sin will be:

Sin a =Opposite/Hypotenuse = CB/CA

Cos Function

Cos of an angle is the ratio of the length of the adjacent side to the length of the hypotenuse. From the above diagram, the cos function will be derived as follows.

Cos a = Adjacent/Hypotenuse = AB/CA

Tan Function

The tangent function is the ratio of the length of the opposite side to that of the adjacent side. It should be noted that the tan can also be represented in terms of sine and cos as their ratio. From the diagram taken above, the tan function will be the following.

Tan a = Opposite/Adjacent = CB/BA

Also, in terms of sine and cos, tan can be represented as:

Tan a = sin a/cos a

Secant, Cosecant and Cotangent Functions

Secant, cosecant (csc) and cotangent are the three additional functions which are derived from the primary functions of sine, cos, and tan. The reciprocal of sine, cos, and tan are cosecant (csc), secant (sec), and cotangent (cot) respectively. The formula of each of these functions are given as:

Sec a = 1/(cos a) =  Hypotenuse/Adjacent = CA/AB

Cosec a = 1/(sin a) = Hypotenuse/Opposite = CA/CB

cot a = 1/(tan a) = Adjacent/Opposite = BA/CB

Note: Inverse trigonometric functions are used to obtain an angle from any of the angle’s trigonometric ratios. Basically, inverses of the sine, cosine, tangent, cotangent, secant, and cosecant functions are represented as arcsine, arccosine, arctangent, arc cotangent, arc secant, and arc cosecant.

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Dilation involves changing the size of a quadrilateral or any shape

The coordinates of the image of the dilation are: [tex]W^{\prime}=(1 / 4,-3), X^{\prime}=(10,0)$, $Y^{\prime}=(7,-9)$[/tex] and [tex]$Z^{\prime}=(4,-9)$[/tex]

This is further explained below

The vertices of the pre-image are given as:

W=(0,-4)

X=(13,0)

Y=(9,-12)

Z=(5,-12)

The scale factor is given as:

k=3 / 4

The center of dilation is given as:

(a, b)=(1,0)

To calculate the vertices of the image, we make use of the following formula [tex]$\left(x^{\prime} y^{\prime}\right)=(k(x-a)+a, k(y-b)+b)$[/tex]

So, we have:

W'=(3 / 4(0-1)+1,3 / 4(-4-0)+0)

W'=(1 / 4,-3)

X'=(3 / 4(13-1)+1,3 / 4(0-0)+0)

X'=(10,0)

Y'=(3 / 4(9-1)+1,3 / 4(-12-0)+0)

Y'=(7,-9)

Z'=(3 / 4(5-1)+1,3 / 4(-12-0)+0)

Z'=(4,-9)

Hence, the coordinates of the image of the dilation are:

W'=(1 / 4,-3),

X'=(10,0),

Y'=(7,-9)

Z'=(4,-9)

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Answer:

Step-by-step explanation: