Find the range and interquartile range of the data.
2, 4, 8 , 3, 2

Answer:

C   [tex]3 \frac{7}{8} + (-6\frac{1}{4})[/tex]

Step-by-step explanation:

+ × - = -

Example:

5 × -3 = -15

+(-5) = -5

then:

3 7/8 - 6 1/4

= 3 7/8 + (-6 1/4)

Answer:

The length of AC is 12.08cm

Step-by-step explanation:

hope it's help

;)

Answer:

see photo for detailed analysis

Answer:

mode and median

Step-by-step explanation:

both are 80

mode - value that appears most often

median- list values lowest to highest find the value in the middle position

Answer:

first angle is 95

second angle is 95

third angle is 95

the sum of angle in a quadrilateral is 360

therefore 95+95+95°=285

to get the fourth angle=360-285=75

therefore the fourth angle is 75°

Answer:

C. 50 + 80 + 2 + 8

Step-by-step explanation:

this would give you an answer 8 greater then the original equation 52+80

The 10.547 feet up the wall will the top of the ladder be if the 11-foot ladder is placed against the wall. The ladder is on ground level at an angle of 73.5° to the horizontal.

Trigonometry is a branch of mathematics that deals with the relationship between sides and angles of a right-angle triangle.

Length of the ladder = 11 foot

The angle between ladder and horizontal = 73.5 degree

The height of the wall, the top of the ladder be(h):

From the sin ratio:

sin73.5 =  h/11

h = 11sin73.5 = 10.547 feet

Thus, the 10.547 feet up the wall will the top of the ladder be if the 11-foot ladder is placed against the wall. The ladder is on ground level at an angle of 73.5° to the horizontal.

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Answer:

i say 7

Step-by-step explanation:

Answer:

Step-by-step explanation:

10b + -2

or

10b - 2

8b + 2b = 10b

7 - 9 (or 9 - 7, which equals 2) = -2

you can add -2 which is

10b + -2

or subtract

10b - 2

Answer:

10b-2

Step-by-step explanation:

8b+2b is 10b. Then 7+(-9) is -2. Combine the answer to get 10b-2

Answer:

heptagon; rectangles; heptagonal prism

Step-by-step explanation:

Since the base is a heptagon (hepta- is seven sides), that gets rid of both the pentagon answers. Since the sides are all rectangles, that gets rid of the Heptagon and Triangles answer. :)

y = -4x - 1

the gradient of the parallel line will be the same as the given line so you just need to change the y intercept

Answer:

A

Step-by-step explanation:

Here [ a, b ] = [ 2, 6 ], thus

f(b) = f(6) = -  + 70 = - 64 + 70 = 6

f(a) = f(2) = - 2² + 70 = - 4 + 70 = 66

average rate of change =  =  = - 15 → A

Answer:

4+(n-1)2

Step-by-step explanation:

Because its an arithmatic series for which the formula is

n-term=first term+(n-1)d.

where "d" is the common difference.

we have that

[tex]y=-x^2+36[/tex]

we know that

Is the equation of a vertical parabola open down

so

the vertex is a maximum

step 1

convert the equation of the parabola in the vertex form

[tex]y=-x^2+36[/tex]

[tex]y-36=-x^2[/tex]

the vertex (h,k) is the point (0,36)

Part a) The point on the graph where the height of the tunnel is a maximum is (0,36)

Part b) The points on the graph where the height of the tunnel is zero feet is when y=0

so

for y=0

[tex]-x^2+36=0[/tex]

[tex]x^2=36[/tex]

[tex]x=(+/-)6[/tex]

the points are (-6,0)  and (6,0)

see the attached figure

Answer:

Step-by-step explanation:

Answer:

39,485.67

Step-by-step explanation:

Answer: 76 degrees

Step-by-step explanation: 63 + 13 = 76

Answer:

1.2378×104

Step-by-step explanation:

The number 10 is called the base because it is this number that is raised to the power n. Although a base number may have values other than 10, the base number in scientific notation is always 10.

The angle m∠UVW can be found using angle of circumference rule in geometry. Therefore, m∠UVW = 67°

An angle at the circumference of a circle is half the angle at the centre standing on the same arc.

In other words, the angle at the centre of a circle is twice the angle at the circumference.

Therefore,

m∠UVW = 134 / 2

m∠UVW = 67 degrees

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Answer:

1) 125

2) 113

Step-by-step explanation:

Hope it helps :)

Answer:

x = 70°

Step-by-step explanation:

Since in triangle ABC (Check the image)

=> AB = AC

Therefore, ∠B = ∠C

From Angle Sum property of a triangle,

=> ∠A + ∠B + ∠C = 180°

=> x + 55 + 55 = 180

=> x +110 = 180

=> x = 70°

Hope you've understood the solution.

Answer:

The correct option is C. if you express the problem in terms of ㏑ three and seven.

Answer:

C, Negative x coordinates, positive y coordinates.

Step-by-step explanation:

Note that the original points are all in the third quadrant, i.e., sign will be (-,-). When reflected across the x axis, the y coordinate becomes negative => (x,-y) => (-,-) becomes (-,+)

Answer: D. Negative-x and Negative-y

Step-by-step explanation: quadrant one are both positive quadrant 2 is positive and negative. Quadrant 3 is negative and negative and quadrant 4 is negative and positive.

Answer:

18.84

Step-by-step explanation:

The diameter is 2 times the radius, so just multiply 6 by 3.14

please mark brainliest ( :

[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]

Let's calculate the circumference ~

[tex]\qquad \sf  \dashrightarrow \: c = \pi d[/tex]

[tex]\qquad \sf  \dashrightarrow \: c = 3.14 \times 6[/tex]

[tex]\qquad \sf  \dashrightarrow \: c =18.84 \: ft[/tex]

The angle of elevation is 35.4.

The angle formed by the line of sight and the horizontal plane for an object above the horizontal.

tan D = AB/BD

tan D = 38.5/54.13

D = 35.4

Hence, the angle of elevation is 35.4.

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Answer:

The original value of the car.

Step-by-step explanation:

The 21,500 would be the a value of the function, as it is before the parentheses. The a value of an exponential function is a constant, and it is the y-intercept of that function, meaning in a real-world application, it would be where the values start at. In this case, the 21,500 is where the price of the car starts at, i.e., the original value of the car.

Answer:

  h(x), g(x), f(x)

Step-by-step explanation:

The axis of symmetry of a parabola is the vertical line through its vertex.

__

The equation is written in vertex form:

  f(x) = a(x -h)² +k . . . . . vertex (h, k), scale factor 'a'

The vertical line through the vertex is x=h.

Your equation is ...

  f(x) = -2(x -4) +2

so (h, k) = (4, 2) and the line of symmetry is x=4.

__

The given equation can be written in vertex form:

  g(x) = 5x² -10x +7

  g(x) = 5(x² -2x) +7

  g(x) = 5(x² -2x +1) +7 -5 . . . . complete the square

  g(x) = 5(x -1)² +2

so (h, k) = (1, 2) and the line of symmetry is x=1.

__

Your problem statement tells us ...

  h(x) = -(x +2)² +2

so (h, k) = (-2, 2) and the line of symmetry is x=-2.

The coordinates of the vertex can also be read from the graph: (-2, 2).

__

The rank of the functions is the order of {-2, 1, 4}, or h(x), g(x), f(x).

[tex]~~~~~~~\dfrac 25 x - \dfrac 12= n(4x-5)\\\\\\ \implies \dfrac{4x}{10}- \dfrac{5}{10} = n(4x-5)\\\\\\\ \implies \dfrac 1{10}(4x-5) = n(4x-5)\\\\\\\implies n = \dfrac 1{10}~~~~~;\left[x \neq \dfrac 54 \right][/tex]

Answer:

A function table

Step-by-step explanation:

Hope this helped

Answer:

30 min

Step-by-step explanation:

1 /  ( 1/20 + 1/ x) =  12

1 = 12/20 + 12/x

8/20 = 12/x

x = 12 * 20 / 8 = 30 min

Answer: Hope this helps

Step-by-step explanation: