Here is the problem

Answer: You didnt mention how much Dan mows in 1 hour, but just do that divided by 60

Step-by-step explanation:

Given:

Consider the dimensions of the rectangular prism are 3.4 ft by 0.8 ft by 0.6 ft.

To find:

The volume of rectangular prism.

Solution:

The volume of a cuboid or rectangular prism is:

[tex]V=l\times b\times h[/tex]

Where, l is length, b is breadth and h is height of the prism.

The dimensions of the rectangular prism are 3.4 ft by 0.8 ft by 0.6 ft. So, the volume of the prism is:

[tex]V=3.4\times 0.8\times 0.6[/tex]

[tex]V=1.632[/tex]

Therefore, the volume of the rectangular prism is 1.632 cubic feet ​.

Given:

x-intercepts of the hyperbola are ±4.

The foci of hyperbola are [tex]\pm 2\sqrt{5}[/tex].

Center of the hyperbola is at origin.

To find:

The equation of the hyperbola.

Solution:

The general equation of a hyperbola:

[tex]\dfrac{(x-h)^2}{a^2}-\dfrac{(y-k)^2}{b^2}=1[/tex]            ...(i)

Where, (h,k) is the center of the hyperbola, ±a are x-intercepts, [tex](\pm c,0)[/tex] are foci.

Center of the hyperbola is at origin. So, h=0 and k=0.

x-intercepts of the hyperbola are ±4. So,

[tex]\pm a=\pm 4[/tex]

[tex]a=4[/tex]

The foci of hyperbola are [tex]\pm 2\sqrt{5}[/tex].

[tex]\pm c=\pm 2\sqrt{5}[/tex]

[tex]c=2\sqrt{5}[/tex]

We know that,

[tex]a^2+b^2=c^2[/tex]

[tex](4)^2+b^2=(2\sqrt{5})^2[/tex]

[tex]16+b^2=20[/tex]

[tex]b^2=20-16[/tex]

[tex]b^2=4[/tex]

Taking square root on both sides, we get

[tex]b=\sqrt{4}[/tex]                    [b>0]

[tex]b=2[/tex]

Substituting [tex]h=0,k=0,a=4,b=2[/tex] in (i), we get

[tex]\dfrac{(x-0)^2}{4^2}-\dfrac{(y-0)^2}{2^2}=1[/tex]

[tex]\dfrac{x^2}{4^2}-\dfrac{y^2}{2^2}=1[/tex]

Therefore, the correct option is (d).

9514 1404 393

Explanation:

This is a self-answering question: you solve it by graphing the equations.

The solution is where the lines intersect. The point of intersection of the lines is the point that satisfies all the equations for the lines, hence is a solution to the system. If they do not intersect, there are no solutions. If the lines are coincident, there are an infinite number of solutions.

__

The equations can be graphed by any of a number of methods. (My favorite is to let a graphing calculator do it.) The method of choice depends on the coefficients and the form the equations are given in. Methods of graphing are a topic for a more lengthy discussion.

Answer:

Height A = [tex]12\frac{3}{4}[/tex] inches

Step-by-step explanation:

Height A = Sum of widths of all sections of the cabinet + thickness of the wood

Height A = [tex]1\frac{1}{4}+\frac{1}{4}+4\frac{1}{2}+\frac{1}{4}+4\frac{1}{2}+2[/tex]

               = [tex](1+4+4+2)+(\frac{1}{4}+\frac{1}{4}+\frac{1}{2}+\frac{1}{4}+\frac{1}{2})[/tex]

               = [tex]11+(\frac{1+1+2+1+2}{4} )[/tex]

               = [tex]11+\frac{7}{4}[/tex]

               = [tex]11+1\frac{3}{4}[/tex]

               = [tex]11+1+\frac{3}{4}[/tex]

               = [tex]12\frac{3}{4}[/tex] inches

9514 1404 393

Answer:

  a4 = 132,499

Step-by-step explanation:

Use the recursive relation repeatedly.

  a1 = 4

  a2 = (a1)² +3 = 4² +3 = 19

  a3 = 19² +3 = 364

  a4 = 364² +3 = 132,499

Answer:

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

Answer:

A) 3 ways

B) sorry don't know.

Step-by-step explanation:

2 P and 2 N

3P and 1 N

4P

So 3 ways.

9514 1404 393

Answer:

  (b) Angle A is opposite to the side labeled opposite. The hypotenuse is opposite to the right angle.

Step-by-step explanation:

The hypotenuse is always opposite the right angle.

The side considered "opposite" is opposite the angle of interest, angle A in this case.

Answer:

Other person is correct

Step-by-step explanation:

Answer:

1205.76 m^3

Step-by-step explanation:

given:

radius = 8m

height = 18 m

volume of a cone = πr2h/3

=3.14 * (8)^2 * 18/3

=3.14 *64 *18/3

=3617.28/3

=1205.76 m^3

Answer:

Step-by-step explanation:

The element decay percentage rate of change 2.22% per minute.

Radioisotope, radionuclide, or radioactive nuclide, any of several species of the same chemical element with different masses whose nuclei are unstable and dissipate excess energy by spontaneously emitting radiation in the form of alpha, beta, and gamma rays.

Here, mass decreases by 73% every hour.

Weight of element X is 680 grams.

According to question,

f(t) = 680 (1 - 73%)ⁿ

f(t) = 680 (1 - 0.73)ⁿ

f(t) = 680 X 0.27ⁿ

f(t) = 680 X 0.9778ⁿ

f(t) = 680 X (1 - 0.02322)ⁿ

Thus, the element decay percentage rate of change 2.22% per minute.

Learn more about radioactive isotope from:

https://brainly.com/question/1907960

#SPJ2

Answer:

14w

Step-by-step explanation:

Hope this helps

Answer:

x=8

Step-by-step explanation:

5-x=13

5-5=0

13-5=8

x stays because its a variable

x=8

one solution

Answer:

73

Step-by-step explanation:

-9+84+(-2) =

-9+82 =

= 73

Hope this helps

Answer:

Im not 100% sure but i think it would be $150.00

Step-by-step explanation:

Because if 2 mangos are $60

whats half of 60$

30

so 1 mango = $30

the person wants 5 mango so

multiply

$30*5

which would give you

$150.00

Answer:

$150

Step-by-step explanation:

If 2 mangoes cost $60, then 1 mango would be 60/2=30.

5 mangos would be 30×5=$150

Answer:

dvide 54 by 6 then the answer you get  subrtact it by 3 then the answer you get multiply iy by 2 then thats will be your answer

Step-by-step explanation:

remember always use PEMDAS always add or subract wich ever comes first and if theres none of that then do Multiply or devide wich ever comes first  ( btw your answer is   ( 3 )

Answer:

C 8

Step-by-step explanation:

the number cube has six sides and the coin has 2 sides

Answer:

There are more females dropping than males each year and that there are more females than males

Answer:

3.141

Step-by-step explanation:

3 decimals is .xxx, and you round the last digit up, so it becomes 3.141

Answer:

3.141

Step-by-step explanation:

since the forth number behind the decimal place is bigger than 5 we round up the third number.

I hope this helps in anyway.

Answer:

x=6.25 and y=1.5

Step-by-step explanation:

Given equation

2x+5y=20

y=0.4x-1

Putting the value of y in above equation

2x+5(0.4x-1)=20

2x+2x-5=20

4x-5=20

4x=20+5

4x=25

x=6.25

Now,

y=0.4x-1( Given)

Putting the value of x=6.25 in above equation y

y=0.4(6.25)-1

y=2.5-1

y=1.5

Kindly check complete question in the attached picture below.

Answer:

2.2236

Step-by-step explanation:

From the R output given, we can obtain the linear regression model in the form ;

y = bx + c

Intercept, c = 9.4764

Slope, b = 0.0315

x = number of manufacturing enterprise employing 20 or more workers

y = annual mean concentration of Sulphur dioxide

Hence, The regression equation model as obtained from the R output is :

y = 0.0315x + 9.4764

For the city of Duarte;

x = 200

Actual annual mean concentration of Sulphur dioxide is 18 micrograms per cubic meter.

Residual = Actual value - predicted value

Prediction using the regression equation to obtain the predicted annual mean concentration ;

The predicted y value, when x = 200

y = 0.0315(200) + 9.4764

y = 15.7764

The residual, if actual annual concentration = 18

Y residual = 18 - 15.7764 = 2.2236

Answer:

Is 32,13

Step-by-step explanation:

Because one is not bigger than five so it disappears.

Answer:

[tex]\% = 11.96\%[/tex]

Step-by-step explanation:

Given

See attachment for box plot

Required

Percentage greater than or equal to 233

From the box plot, the maximum is:

[tex]Max = 244[/tex]

The minimum is:

[tex]Min = 152[/tex]

Percentage greater than 233 is calculated as:

[tex]\% = \frac{Max - 233}{Max - Min}[/tex]

[tex]\% = \frac{244 - 233}{244-152}[/tex]

[tex]\% = \frac{11}{92}[/tex]

Express as percentage

[tex]\% = \frac{11}{92}*100\%[/tex]

[tex]\% = \frac{1100}{92}\%[/tex]

[tex]\% = 11.96\%[/tex]

Answer:

[tex]\frac{dh}{dt}=1.45cmsec^{-1}[/tex]

Step-by-step explanation:

Rate of Water Fill [tex]R=\frac{dv}{dt}=70cm^3[/tex]

Length [tex]l=8cm[/tex]

Height [tex]H=15cm[/tex]

Water level [tex]L_w= 4cm[/tex]

Generally the equation for relationship b/w h and a is mathematically given by

Since by the properties of similar triangles

 [tex]k=\frac{h}{1/2}[/tex]

Let

 [tex]h=15cm \\\\a=8cm[/tex]

 [tex]k=\frac{h}{1/2a}[/tex]

 [tex]k=\frac{15}{4}[/tex]

Therefore

 [tex]\frac{h}{1/2a}=\frac{15}{4}[/tex]

 [tex]a=\frac{8h}{15}[/tex]

Generally the equation for volume of Pyramid is mathematically given by

 [tex]V=\frac{1}{3}ah^2h[/tex]

Subsitute a

 [tex]V=\frac{1}{3}(\frac{8h}{15})h^2h[/tex]

Therefore

 [tex]\frac{dv}{dt}=\frac{(\frac{1}{3}(\frac{8h}{15})h^2h)}{dt}[/tex]

 [tex]\frac{dv}{dt}=\frac{64}{255}(h^2\frac{dh}{dt})[/tex]

Since

 [tex]\frac{dv}{dt}=70cm^3s^{-1}[/tex]

Therefore

 [tex]70cm^3s^{-1}=\frac{64}{255}(h^2\frac{dh}{dt})[/tex]

 [tex]\frac{dh}{dt}=\frac{70}{169}*\frac{225}{64}[/tex]

 [tex]\frac{dh}{dt}=1.45cmsec^{-1}[/tex]

Answer: 0.3

Step-by-step explanation:

Answer:

Cannot be factored

Step-by-step explanation:

Given

[tex]\frac{x^2}{9} + 1 + \frac{9}{x^2}[/tex]

Required

Factorize

Take LCM

[tex]\frac{x^2}{9} + 1 + \frac{9}{x^2} = \frac{x^4+9x^2+81}{9x^2}[/tex]

The expression cannot be factored

Answer:

28/16=14/8 true

3/5=9/15 true

4/32=10/78 false

3/4=12/16 true

Step-by-step explanation:

DID IT ON BRIDGE