-2x + 7y = 20
x + 7y = 32

[tex]\huge\mathfrak\blue{AnSwEr} [/tex]

[tex] \sf{54 \: km \: = 54000 \: meters}[/tex]

Step-by-step explanation:

a) A=π302=900π CM2 =2,827 CM 2

b) V=Ah=900=72000 π cm 3 = 226,195 cm3

Answer:

m∡A = 41.4°

m∡B = 48.6°

m∡C = 90°

a = 3[tex]\sqrt{7}[/tex]

b = 9

c = 12

Step-by-step explanation:

to find the length of side 'a' I used the Pythagorean Theorem to get:

a² + 9² = 12²

a² + 81 = 144

a² = 63

a = [tex]\sqrt{63}[/tex] which equals [tex]\sqrt{9}[/tex][tex]\sqrt{7}[/tex] which is 3[tex]\sqrt{7}[/tex]

to find m∡B I found the arcsin(B) = 9/12 to get 48.6

to find m∡A I subtracted the sum of 90 + 48.6 from 180°

Answer:

2/4

Step-by-step explanation:

Answer:

102.2

Step-by-step explanation:

Answer:

[tex]\frac{x^6-yx-y^5}{x}[/tex]

Step-by-step explanation:

x^5-y^5 divided x-y

[tex]\frac{(x^5-y)x}{x} -\frac{y^5}{x}[/tex]

[tex]\frac{(x^5-y)x-y^5}{x}[/tex]

=> [tex]\frac{x^6-yx-y^5}{x}[/tex]

Answer:

110%

Step-by-step explanation:

hope this helps......

Answer:

110%

Step-by-step explanation:

is / of = % / 100

165 / 150 = x / 100

cross-multiply:

150x = 16,500

x = 16,500 / 150

x =  110

Answer:

1250 meters because 2 km is 2000 meters

2000 - 750

= 1250

Answer:

you need to add 1250 to 750 in order to make 2 km

Step-by-step explanation:

We know that:

1 KM = 1000 meters

and out of those 1000, we already have 750, therefore:

1000-750 = 250

Which completes 1 km now, since there are 2 km, add 1000 to 250:

1000+250 = 1250

So you need to add 1250 meters to make 2 km

Hope this helps!

Answer: 36 ft^2

Step-by-step explanation: 4x3/2=6. 6x2=12. 3x2=6. 4x2=8. 5x2=10. 12+8+6+10=36

Answer:

x=2, y=5. (2, 5).

Step-by-step explanation:

x+6y=32

-x-3y=-17

---------------

3y=15

y=15/3

y=5

x+6(5)=32

x+30=32

x=32-30

x=2

Answer:

IO

Step-by-step explanation:

9514 1404 393

Answer:

  y-intercept

Step-by-step explanation:

If the function is graphed as ...

  y = f(x)

then y = f(0) is the y-intercept.

_____

Additional comment

Depending on the way the graph is created and labeled, any points or curve on the graph may cross the vertical axis at a point other than one that corresponds to an input of 0. In any event, it may not be called "y". It may be "sales" or "board feet" or "monkeys per acre". Then the name of the point may not be "y-intercept", but may be something else.

Answer:

Expected count frequency= 17*50/88= 9.659

Step-by-step explanation:

             Members Living More            Members Living Less     Total

               Than 25 Miles                         Than 25 Miles

              from the Waterfall                from the Waterfall

Low                25                                          17                              42

Medium          8                                           21                              29

High               5                                            12                              17

Total             38                                            50                           88

We see that the total of the high row is 17 and the total of the members living less than 25 miles  from the waterfall is 50 .

So using the formula :

Expected count frequency= row total * column total/ grand total

                                         = 17*50/88= 9.659

All the expected frequencies can be found in a similar way and then compared to the observed frequency to test the chi square.

Answer:

5.235

Step-by-step explanation:

Just use a calculator

Else

5.250

-0.015

______

5.235

Add 0 to make it equal. Carry 1 from 5 of 5.2'5'0 to 0 and make it 10. 10g5 is 5. Then 4 remains .4-1 is 3. Others are normally subtracted.

Answer: 0.06<0.61<0.7

Step-by-step explanation:

The numbers is 0.6< 0.61 <0.7.

It is required to find among the statements is true.

An integer is a whole number (not a fractional number) that can be positive, negative, or zero.

Given that:

0.7 is largest number among the given integer.

0.61 is 2nd largest number among the given integer.

0.6 is lowest number among the given integer.

∴0.6< 0.61 <0.7.

So, the numbers is 0.6< 0.61 <0.7.

Learn more about integer here:

https://brainly.com/question/23713984

#SPJ2

The area that Gretchen will be refinishing is 42 square feet.

A polygon is a closed more than two-sided and can be made up of a finite number of straight line segments and is a type of planar figure in geometry.

Each line of the polygonal circuit's segments is referred to as its edges or sides.

An octagon has 8 sides.

We know, Apothm is the distance from the center to its side.

We also know that an octagon can be divided into 8 similar triangles.

Therefore, The area of the octagon will be,

= 8×(1/2)×3×3.5 square feet.

= 4×10.5 square feet.

= 42 square feet.

learn more about polygons here :

https://brainly.com/question/24464711

#SPJ1

Answer:

[tex]\huge\boxed{x \geq \frac{10b}{b-a} }[/tex]

Step-by-step explanation:

[tex]\displaystyle b(x-3) \geq ax+7b\\\\bx -3b\geq ax+7b\\\\Subtract \ ax \ to \ both \ sides\\\\bx-ax-3b\geq 7b\\\\Add \ 3b \ to \ both \ sides\\\\bx-ax \geq 7b+3b\\\\x(b-a) \geq 10b\\\\Divide \ (b-a) \ to \ both \ sides\\\\x \geq \frac{10b}{b-a} \\\\\rule[225]{225}{2}[/tex]

Hope this helped!

Answer:

x=90-35

=55 is the answer

Answer:

(a) A country which puts only 3% of its expenditure into health care. = (41.8,85.2)

(b) A country which puts 10% of its expenditure into health care= (47.92,89.29)

(c) A country which puts 50% of its expenditure into health care= (63.33,132.17)

Explanation:

Country                              Health Life expectancy

1 Iceland                               15.76            83.1

2 Kazakhastan                       40.90   70.5

3 Lesotho                                 14.48 49.3

4 Uzbekistan                          9.68 68.2

5 Peru                                  14.75 74.8

6 Iraq                                          5.99 69.5

mb=1m (life expectancy - Health, data=d1)

new data1 = data. frame (Health = 3)

new data2 = data. frame (Health = 10)

new data3= data. frame (Health = 50)

Predict (mb,newdata1, interval= "prediction)

                fit                   owr                 upr

1            63.506          41.7298           85.2192

>Predict (mb,newdata2, interval = "prediction)\

                 fit                   owr                 upr

1            68.6062          47.9192           89.29321

>Predict (mb,newdata3, interval = "prediction)

                fit                   owr                 upr

1            97.750            63.3292         132.1713

(a) A country which puts only 3% of its expenditure into health care. = (41.8,85.2)

(b) A country which puts 10% of its expenditure into health care= (47.92,89.29)

(c) A country which puts 50% of its expenditure into health care= (63.33,132.17)  

Answer:

25)

arcQR=60°

26)

arcUWY=240°

27)

arcSU=112°

28)

arcSR=310°

hope it helps

Answer=3/10

Step wise =

Total number of student=40

student who eat Hamburger=12

now,

Probability of eating hamburger student = 12/40

=3/10

Answer:

The answer is B.

Step-by-step explanation:

The formula is Area = L x H

And remember perimiter is adding the legnth of all sides.

For A:

12 × 3 = 36

12 + 12 + 3 + 3 = 30

For B:

4 × 8 = 32

4 + 4 + 8 + 8 = 24

For C:

6 × 6 = 36

6 + 6 + 6 + 6 = 24

Hence, the answer is B, since B is the only one which meets the criteria.

Answer:

0

Step-by-step explanation:

If two events are disjoing (aka mutually exclusive) that means that there is 0 overlap or the intersection equals 0

So the probability of A and B occuring is 0 (because P(A∩B)= 0)

Answer:

1.375 ft

Step-by-step explanation:

10/2.5 = 4

5.5 / 4 = 1 1.5/4 = 1 3/8 = 1.375 ft

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Given:

The function is:

[tex]f(x)=6x-3[/tex]

To find:

The inverse of the given function, then draw the graphs of function and its inverse.

Solution:

We have,

[tex]f(x)=6x-3[/tex]

Step 1: Substitute [tex]f(x)=y[/tex].

[tex]y=6x-3[/tex]

Step 2: Interchange x and y.

[tex]x=6y-3[/tex]

Step 3: Isolate variable y.

[tex]x+3=6y[/tex]

[tex]\dfrac{x+3}{6}=y[/tex]

Step 4: Substitute [tex]y=g(x)[/tex].

[tex]\dfrac{x+3}{6}=g(x)[/tex]

Therefore, the inverse of the given function is [tex]g(x)=\dfrac{x+3}{6}[/tex] and the graphs of these functions are shown below.

Answer:

50ft x 3.14 = 157ft

Step-by-step explanation:

It's asking for the circumference.

circumference formula: [tex]C = 2\pi r[/tex]

To give you a better idea of the concept:

To make it simple, in a circle, there is the radius, diameter, and then the circumference.

Radius: The distance half way across the circle (see attachment below).

Diameter: The distance across the circle (see attachment below).

Circumference: The distance around the circle (see attachment below).

As you see, the radius is only half way across, so 2 times the radius would give us the full distance across (diameter).

(But this doesn't matter for this question because it already gave you the diameter (50ft), this was only so I could maybe help you understand the concept a bit more).

Your question:

Alright, it's asking for the circumference; all you have to do is the diameter (50 ft) times pi (3.14).

[tex]50ft *3.14=157ft[/tex]

Hope this helped! :D