Which system of inequalities is shown in the graph?

Answer:

15/1000

Step-by-step explanation:

If we move the decimal place 3 to the right, we can see that to get our decimal, we would need to divide by 1000.

Answer:

B 120 cubic centimetres

A(14)=240(1+0.09)^14-1

A(14)=240(1.09)^13

A(14)=240(3.065)

A(14)=735.79

Make sure the calculations m

Answer:

D. 127.5 square units

Step-by-step explanation:

AC=17

BD=15

AB=11.5

Diagonal (1&2) are given, base of the rhombus is also given.

Height is not given

Area of a rhombus given the diagonals

=1/2×d1×d2

Where,

d1=AC=17

d2=BD=15

Area of a rhombus=1/2×d1×d2

=1/2×17*15

=1/2×255

=127.5

D. 127.5 square units

Answer:

D for sure

Step-by-step explanation:

Answer:

y = -4x + 15

Step-by-step explanation:

slope = (-1 -7)/(4-2) = -8/2 = -4

y = mx + b

7 = -4(2) + b

15 = b

y = -4x + 15

Answer:

8 meter

Step-by-step explanation:

1:200

this equation means for every 1 cm on a map is 200 m in real life

4*200=800 which means equal 8 meter long

Answer:

f = -5/3

Step-by-step explanation:

-3/4f = 5/4

Multiply each side by -4/3 to isolate f

-4/3*-3/4f = 5/4*-4/3

f = -5/3

Answer:

Hey there!

We have -3/4f=5/4

Multiply both sides by -4/3, to cancel out the -3/4.

f=-5/3

Hope this helps :)

Answer:

[tex] log(6 {x}^{3} ) + log(6 {(x - 6}^{5} )) [/tex]

[tex] log(6 {x}^{3} ) + log ({6x - 36})^{5} [/tex]

[tex] log(6 {x}^{3} +( {6x - 36}^{5} ))[/tex]

Answer:

Step-by-step explanation:

4. A) [tex]\frac{13}{100}[/tex]×79.50 = 10.335

tax=10.335

total cost=79.50+10.335=89.835

B) [tex]\frac{13}{100}[/tex]×189.99=24.6987 = tax

189.99+24.6987=214.6887

5) [tex]\frac{20}{100}[/tex]×544.99=108.998

yes Brittany will have enough money

Answer:

Step-by-step explanation:

[tex](g\circ f)(x) = g\big(f(x)\big)[/tex]

so:

[tex]I.\quad (g\circ f)(a)=\sqrt{f(a)}=\sqrt{a^2-4}=\sqrt{(a+2)(a-2)}\\\\II.\quad (g\circ f)(a)=2f(a)-2=2(\frac12a-1)-2=a-2-2=a-4\\\\ \bold{III.\quad (g\circ f)(a)=\sqrt{f(a)-5}-2=\sqrt{5+a^2-5}-2=\sqrt{a^2}-2=|a|-2}\\\\ IV.\quad (g\circ f)(a)=4f(a)-5=4(3-3a)-5 = 12-12a-5=-12a+7[/tex]

Answer:

j = 16

Step-by-step explanation:

[tex]\sqrt{j} + \sqrt{j} + 14 = 3\sqrt{j} + 10\\2\sqrt{j} + 14 = 3\sqrt{j} + 10\\3\sqrt{j} - 2\sqrt{j} = 14 - 10\\\sqrt{j} = 4\\[/tex]

Squaring both sides gives;

j =  16

Answer:

a) 60 degrees

Step-by-step explanation:

b) The triangle shown is an equilateral triangle as all the sides are the same. This means that all the angles are the same as well.

Angles in a triangle add up to 180 degrees. There are 3 angles. Each angle is 60 degrees.

Angle x is an exterior corresponding angle and hence, that is why x = 60 degrees.

Answer:

All of the measures of the interior angles of an equilateral triangle are 60°. Because x and 60° are alternate interior angles of parallel lines, this means that they are equal, therefore x = 60°.

Answer:

x = 19.

Step-by-step explanation:

By the tangent - secant theorem:

BD^2 = AB * EB

so:

8^2 = (x - 7 + 4) * 4

4(x - 3) = 64

4x - 12 = 64

4x = 64 + 12 = 76

x = 76/4

= 19.

Answer:

15

Step-by-step explanation:

Answer:

The answer is 101

Step-by-step explanation:

3⁴ is 81, then multiply 4 by 5. Add the two answers together and get 101

Answer:

16/5

Step-by-step explanation:

xy/-5

(2)(-8)/-5

-16/-5

=16/5

Step-by-step explanation:

let the three arithmetic means is x,yand z

-4,x,y,z,16

we know that common difference is same in A.P

x+4=y-x

2x=y-4 ---------------------(1)

y-x=z-y

2y=z+x ---------------------(2)

z-y=16-z

2z=16+y --------------------(3)

after solving equation (1),(2)and(3) we get

x=1

y=6

z=11

Answer:

x = 10

Step-by-step explanation:

One of the smaller angles that is created by the angle bisector measures 5x+4.

An angle bisector cuts an angle into two equal parts. So, 5x+4 = 1/2 (108) or

2(5x+4)=108 (divide both sides by 1/2)

10x+8=108 (distribute)

10x=100 (subtract 8 from both sides)

x=10 (divide by 10)

x=10

Answer:

Check below

Step-by-step explanation:

There are rigid transformations that produce congruent figures: translation, rotation, and one transformation that produces a similar figure, namely: Dilation.

1) Toyota: translation, and Dilation.

Two ellipses translated within a larger ellipse.

2) 2 Reflections, or 4 rotations of the pre-image

We have two ways of drawing this figure. Either by reflection of the right and the lower one or by rotation.

3) CBS: Dilation of the circumference, inside a rhombus.

4) Mitsubishi: Reflection about the y axis, Rotation for the figure up.

e) Reflection

f) Translation

Answer:

x = -12

Step-by-step explanation:

-10x+1+7x=37

Combine like terms

-3x+1 = 37

Subtract 1 from each side

-3x+1-1 = 37-1

-3x = 36

Divide by -3

-3x/-3 = 36/-3

x = -12

Answer:

38.6 m

Step-by-step explanation:

cos 75° = 10/x

x= 10/cos75°= 38.637 ≈ 38.6m

Answer:

Mean = 0.38082 checks per day

Variance = 0.38082

Standard deviation = 0.61711

Step-by-step explanation:

In a Poisson distribution, the variance (V) is equal to the mean value (μ), and the standard deviation (σ) is the square root of the variance.

A year has 365 days,, if 139 checks were written during a year, the mean number of checks written per day is:

[tex]E(x)=\mu=\frac{139}{365}\\ \mu=0.38082\ checks/day[/tex]

Therefore, the variance and standard deviation are, respectively:

[tex]V=\mu=0.38082\\\sigma=\sqrt{V}=\sqrt{0.38082}\\ \sigma =0.61711[/tex]

Answer:

3rd degree

Step-by-step explanation:

The highest exponent is a 3, meaning this is a 3rd degree polynomial.

Answer:

Hey there!

20^2+54/9

400+54/9

400+6

406

Hope this helps :)

Answer:

406

Step-by-step explanation:

20²+6

=400+6

=406

Answer:

Solution,

[tex] \frac{24 {x}^{2} + 25x - 47}{ax - 2} = - 8x - 3 - \frac{53}{ax - 2} \\ \frac{24 {x}^{2} + 25x - 47 }{ax - 2} = \frac{( - 8x - 3)(ax - 2) - 53}{ax - 2} \\ 24 {x}^{2} + 25x - 47 = - 8a {x}^{2} + (16 - 3a)x - 47 \\ [/tex]

Equating coefficients from both side:

[tex] - 8a = 24 \\ a = \frac{ 24}{ - 8} \\ a = - 3[/tex]

Hope this helps..

good luck on your assignment..

Answer:

-3

Step-by-step explanation:

Lucky guess?

Answer: 19 miles

Step-by-step explanation:

Hi, since the situation forms a right triangle (see attachment) we have to apply the Pythagorean Theorem:  

c^2 = a^2 + b^2  

Where c is the hypotenuse of the triangle (in this case the distance between the hiker and the camp) and a and b are the other sides.  

Replacing with the values given:  

x^2 = 6^2 + 18^2  

x^2 = 36+324

x^2 = 360

x = √360

x = 18.97miles = 19 miles

Feel free to ask for more if needed or if you did not understand something.  

Answer:

11

Step-by-step explanation:

3 times 11 gives you 33 which would be the product

3 x 11 = 33

subtract the 12(twelve) from the 33(product)

33 - 12 = 21

Answer:

C. It has been stretched horizontally.

Step-by-step explanation:

According to the diagram, the parabola has not been reflected in any way, nor has it been translated, since the parabola is pointing up in a smile, and the vertex is still at the origin.

The parabola does appear to be stretched, since the parent function had points at (1, 1), and (2, 4), but this parabola does not contain those points.

Since the parabola appears to be flatter than the parent function, we can say that C. It has been stretched horizontally.

Hope this helps!

Answer: Option D

Step-by-step explanation

Because

Answer:

In counting to a base, when we get to the point where the base integer comes up, we replace by 10, on the first time and by 10 at every other time the integer is about to come up

We now this in base 10 as when we get to 10 we input 10 and so and so till we get to 99 where since we are in base 10 the next number is 100 because that is the highest we can go while in base 11 100 in base is equivalent to 91

So we have for base 5

1 , 2, 3, 4, 10, 11, 12, 13, 14, 20, 21, 22, 23, 24, 30, 31, 32, 33, 34, 40, 41, 42, 43, 44, 100, 101, 102, 103, 104, 110, 111, 112, 113, 114, 120, 121, 122, 123, 124, 130, 131, 132, 133, 134, 140, 141, 142, 143, 144, 200

We see that on getting to 4 instead of the next digit to be 5 we replace it with 10 because 5 cannot be displayed in base 5

Similarly after 14 is 20 because 5 cannot be displayed at 24 the next number is 30 because 5 cannot be displayed

at 34 the next  40, while at 44 the next is (we could have written 50 but 5 is 10 in base 5 so we write 100) 100

At 144, we note that 44 = 100 + 44, therefore, the next number will be 100 + 44+ 1 = 100 + (45 but 45 = 100 in base 5) 100 so that the next number is 200

Base 2

In base 2 we have;

1, 10, 11, 100, 101, 110, 111, 1000, 1001, 1010, 1011, 1100, 1101, 1110, 1111, 10000, 10001, 10010, 10011, 10100, 10101, 10110, 10111, 11000, 11001, 11010, 11011, 11100, 11101, 11110, 11111, 100000, 100001, 100010, 100011, 100100, 100101, 100110, 100111, 101000, 101001, 101010, 101011, 101100, 101101, 101110, 101111, 110000, 110001, 110010

We see that there are no 2s and after 11 we get 100 just like after 99 we get 100 in base 10 and after 44 we get 100 in base 5

So we need to still have an idea of the number system just as we did for base 10

Step-by-step explanation:

Answer:

Step-by-step explanation:

You have to use the Law of Cosines here to solve for C. For us the equation will take on the form

[tex]c^2=a^2+b^2-2abcosC[/tex] for which we have all the values except C. Filling in:

[tex]12^2=28^2+18^2-2(28)(18)cosC[/tex] which will simplify to

144 = 784 + 324 - 1008cosC.  Simplify a bit more to

144 = 1108 - 1008cosC. Subtract 1108 from both sides to get

-964 = -1008cosC. Divide both sides by -1008 to get

.9563492063 = cosC

Press the 2nd button and then the cos button on your calculator. You should see this on your screen:

[tex]cos^{-1}([/tex]

After that open parenthesis, enter that long decimal and hit "enter". You should get that your angle is 16.99 which I imagine you would round to 17, which is choice D. If you did not get 16.99 but you got .29655, you are in radian mode and you need to be in degree mode. Hit "mode" and change it with your arrow key and hit "enter" and it's changed!