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natali 33 [55]
3 years ago
8

Which situation can be represented by the inequality?

Mathematics
2 answers:
kherson [118]3 years ago
3 0
B. Junichi's garden is wider than 50 ft.
astra-53 [7]3 years ago
3 0

Answer:

B. Junichi's garden is wider than 50 ft.

Step-by-step explanation:

I took the test online in K12 and when I reviewed it said that B is the correct answer.

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What is the distance between the following points?
timama [110]

Answer:

D. d = \sqrt{58}

Step-by-step explanation:

Use the distance formula: d = \sqrt{(x2 - x1)^{2}+ (y2 - y1)^{2}  }

The two points are (6, -2) and (3, -9)

Plug the values into the formula:

d = \sqrt{(3 - 6)^{2}+ (-9 + 2)^{2}  }

Simplify

d = \sqrt{(-3)^{2}+ (-7)^{2}  }

d = \sqrt{9+ 49  }

d = \sqrt{58}

I hope this helps :))

5 0
3 years ago
Blaine exchanges $100 for yen before going to Japan.
olasank [31]

So for this, we will be using dimensional analysis:


\frac{\$100}{1} *\frac{88.353 \yen}{\$1} =\frac{8835.3}{1}


In short, he should receive ¥8835.30.

5 0
3 years ago
What is the domain range and zeros of the graph ?
marusya05 [52]

The domain is how far the graph stretches horizontally (on the x-axis).

Domain:  ( -∞ , ∞ )  or  -∞ < x < ∞

The range is how long the graph stretched vertically (on the y-axis).

Range:  ( -∞ , 2 ]  or  -∞ < y ≤ 2

The zeros are where the graph intersects with the x-axis. In other words, the x-values when y=0.

Zeros:  x = -1  and  x = 3

8 0
3 years ago
Find the mass of the solid paraboloid Dequals=​{(r,thetaθ​,z): 0less than or equals≤zless than or equals≤8181minus−r2​, 0less th
Lubov Fominskaja [6]

Answer:

M = 5742π  

Step-by-step explanation:

Given:-

- Find the mass of a solid with the density ( ρ ):

                             ρ ( r, θ , z ) = 1 + z / 81

- The solid is bounded by the planes:

                             0 ≤ z ≤ 81 - r^2

                             0 ≤ r ≤ 9

Find:-

Find the mass of the solid paraboloid

Solution:-

- The mass (M) of any solid body is given by the following triple integral formulation:

                           M = \int \int \int {p ( r ,theta, z)} \, dV\\\\

- We can write the above expression in cylindrical coordinates:

                           M = \int\limits\int\limits_r\int\limits_z {r*p(r,theta,z)} \, dz.dr.dtheta \\\\M = \int\limits\int\limits_r\int\limits_z {r*[ 1 + \frac{z}{81}] } \, dz.dr.dtheta\\\\

- Perform integration:

                           M = \int\limits\int\limits_r{r*[ z + \frac{z^2}{162}] } \,|_0^8^1^-^r^2 dr.dtheta\\\\M = \int\limits\int\limits_r{r*[ 81-r^2 + \frac{(81-r^2)^2}{162}] } \, dr.dtheta\\\\M = \int\limits\int\limits_r{r*[ 81-r^2 + \frac{6561 -162r + r^2}{162}] } \, dr.dtheta\\\\M = \int\limits\int\limits_r{r*[ 81-r^2 + 40.5 -r +\frac{r^2}{162} ] } \, dr.dtheta\\\\M = \int\limits\int\limits_r{[ 121.5r-r^2 -\frac{161r^3}{162} ] } \, dr.dtheta\\\\

                           M = 2*\int\limits_0^\pi {[ 121.5r^2-r^3 -\frac{161r^4}{162} ] } |_0^6 \, dtheta\\\\M = 2*\int\limits_0^\pi {[ 121.5(6)^2-(6)^3 -\frac{161(6)^4}{162} ] }  \, dtheta\\\\M = 2*\int\limits_0^\pi {[ 4375-216 -1288] }  \, dtheta\\\\M = 2*\int\limits_0^\pi {[ 2871] }  \, dtheta\\\\M = 5742\pi  kg              

- The mass evaluated is M = 5742π                      

8 0
3 years ago
3) Scenario 1 Scenario 2 y = 50x x is time in hours y is distance in miles Compare the scenarios and determine which shows the g
Olegator [25]

Answer:

Option A.

Step-by-step explanation:

Consider the below figure attached with this question.

Scenario 1 represented by the graph.

From the graph it is clear that the line passes through the points (1,60) and (2,120).

Slope of the line is

y=\dfrac{y_2-y_1}{x_2-x_1}

y=\dfrac{120-60}{2-1}=60

The slope of line is 60. It means the speed is 60 miles per hour.

Scenario 2 defined by the equation,

y=50x

If an equation defined as y=mx+b, then m is slope and b is y-intercept.

m=50

The slope of line is 50. It means the speed is 50 miles per hour.  

The slope of Scenario 1 is greater than slope of Scenario 2. So, the Scenario 1 shows the greater speed.

Hence, the correct option is A.

6 0
3 years ago
Read 2 more answers
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