Which number can be inserted in the box to make the equation below true?

Answer:

[tex] \boxed{-30\:– \: x \:= \: 10 \: \: and \: -30 - x = -10} [/tex]

The equations can be used to find the  minimum and maximum depths are (a) [tex]-30 - x = 10[/tex] and [tex]-30 - x = -10[/tex]

The current diving depth (d) is given as:

[tex]d = -30ft[/tex]

The position (p) she tries to stay is given as:

[tex]p = 10ft[/tex]

Represent the minimum and the maximum distances with x.

So, the distances are calculated using:

[tex]d - x = p[/tex] and [tex]d - x = -p[/tex]

Substitute values for d and p

[tex]-30 - x = 10[/tex] and [tex]-30 - x = -10[/tex]

Hence, the equations can be used to find the  minimum and maximum depths are (a) [tex]-30 - x = 10[/tex] and [tex]-30 - x = -10[/tex]

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∑(17-4n) is the summation formula represents the series 13 + 9 + 5 + 1.

A series is the cumulative sum of a given sequence of terms.

The given expression is 13 + 9 + 5 + 1

The terms of this series are 13,9,5,1

It is an AP. Here, first term is 13 and common ratio is -4.

The nth term of an AP is

aₙ=a+(n-1)d

=13+(n-1)(-4)

=13-4n+4

=17-4n

The summation formula of an Arithmetic progression is

∑aₙ

The value of n is 4 because the number of term is 4. So, the summation formula is

∑(17-4n)

Hence ∑(17-4n) is the summation formula represents the series

13 + 9 + 5 + 1.

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Answer:

area-  628    

circumference- 62.8

Answer:

-3x is the answer

Step-by-step explanation:

Answer:

-3x

Hopefully this helps lol

Answer:

It started from the Origin(Sine graph). It curved upwards immediately it started... Meaning graph's amplitude is gonna be positive one

The Equation for a sine graph is ASin[B(x-C)] + D

A=Amplitude

B= 2π/period

C= c value at the starting point.

D= y value at starting point

Let your Starting point be at the sinusoidal axis (Max + Min)/2.

Looking at this graph

Let's take 1cm on the y axis to be 1unit(1,2,3,4...)

On the x axis... let's take 1cm to be π units(π,2π,3π....)

To get the sinusoidal axis Max - Min/2

Since 1cm is 1unit

Max =1 (from the graph)

Min= -1

1-1/2 = 0

The axis is at the center of middle

Meaning

D=y=0(Its directly at the x axis)

From this axis at the origin... The graph goes... Intercept Maximum... intercept Minimum... Meaning its a Positive sine graph.

A=amplitude = 1cm

B=Period...(Time to complete one Oscillation)

It doesn't fall directly on an x value... It falls at the 1.9th position. or 19/10

B=2π/Period.

B=2π/19/10

B=2π x 10/19

B=20π/19

C=0

Writing the Equation

Y= 1Sin[20π/19(x-0)] +0

ie

Y = Sin [20πx/19]

My thoughts on it

Correct me if wrong... Thanks

Let the length of the map be L Cm.

Hence, L = 37.5 Cm

Now, Let the width of the map be B.( Breadth )

Now, we know that perimeter of a rectangle

= 2 ( L + B )

According to the question–

125 = 2 ( L + B )

{ Putting the value of L we get }

Or, 125 = 2 ( 37.5 + B )

Or, 125/2 = 37.5 + B

Or, 62.5 = 37.5 + B

Or, 37.5 + B = 62.5

Or, B = 62.5 – 37.5

Or, B = 25 Cm

Therefore, the Width of the rectangle is 25 Cm.

Answer:

a

Step-by-step explanation:

9514 1404 393

Answer:

  24 cm^2

Step-by-step explanation:

The base of ∆Z is 4 cm, and its height is 12 cm. The area is given by the formula ...

  A = 1/2bh

  A = 1/2(4 cm)(12 cm) = 24 cm^2 . . . area of Z

Answer:

C:reflection accross the x axis

Step-by-step explanation:

Answer:

CI 90 %  =  [ 0,05  ;  0,16 ]

Step-by-step explanation:

From sample we got

n  =  110

x  =  21

p =  21/110  =  0.19      then   q  =  1  -  p   q  =  1  -  0.19   q  = 0.81

To create a 90 % confidence Interval, the significance level α  = 10 %

α = 0.1    α/2  =  0.05

t(c) for   α/2  =  0.05    is from z-table    z(c) = 1.64

CI 90 %  =  (  p  ±   z(c) * √(p*q)/n

CI 90 %  =   [  0,11 ±  1.64 * √ (0.19*0.81)/110 ]

CI 90 %  =  [ 0.11  ±  1.64 * 0.037 ]

CI 90 %  =  [ 0.11  ±  0,06 ]

CI 90 %  =  [ 0,05  ;  0,16 ]

Answer:

b-72

Step-by-step explanation:

an expression does not have an answer. she has b amount of buttons and gives away 72.

Answer:

Its D!

Step-by-step explanation:

all you have to do for the triangles  to  be simialr is  they have to add up to the same  number.

In triangle abc ma=70  and mb=35  add those  gives you 105

and  in  triangle mnp and M<N =70   which  also gives you 105

since u get the same answer    their similar!

Hope this helps!

Answer: 50.27 m

Step-by-step explanation:

[tex]A=\pi r^2\\A=\pi 4^2\\A=50.27[/tex]

Hope this helped! ;)

The circumferance of the given circle is C = 8π.

        x² + y² + 2gx + 2fy + c = 0.

        (x - x₁)² + (y - y₁)² = r²

        x² + y² + 2hx + 2ky + C = 0 where x = - h + rcosθ and y =  - k + rsinθ.

Given is a circle that has a diameter of 8 meters.

We can write the circumferance of the circle as -

C = 2πr

C = 2π (d/2)

C = 2π (8/2)

C = 8π

Therefore, the circumferance of the given circle is C = 8π.

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Answer:

X less than 10

Step-by-step explanation:

The problem is set up 2x - 8 < 12

So add 8 to both sides to get 2x <20, and then divide by 2 to get x < 10

Answer:

x< or = 9

Step-by-step explanation:

if you try to fill in the equation, the highest you can go without equaling or surpassing 12 would be 9.

2(10)-8=12 but

2(9)-8=10

I really hope this helps, i am sorry if i misunderstood the question....

Answer:

x = 24°, y = 53°

Step-by-step explanation:

An inscribed angle is half the measure of its intercepted arc.

arc EC = 2 × ∠ EDC = 2 × 78° = 156°

x = arc BE = 180° - arc EC = 180° - 156° = 24°

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

arc CD = 2 × CED = 2 × 41° = 82°

arc BD = 180° - arc CD = 180° - 82° = 98° , then

∠ BCD = [tex]\frac{1}{2}[/tex] × 98° = 49°

Then

y + 78° + 49° = 180° (sum of angles in triangle )

y + 127° = 180° ( subtract 127° from both sides )

y = 53°

Answer:

A) y=-1/2x+55

Step-by-step explanation:

We can clearly see a negative trend/association between the number of hot drinks sold on a given  day and the low temperature of that day. Therefore, the slope of the best line of fit must be negative, eliminating D and E. Also, notice that when the low temperature is 0°F, the number of hot drinks sold is about 55, which is a good indicator of our y-intercept or constant, eliminating choice C. Because the best line of fit is not so steep, the slope will be closer to 0 if it's a negative trend. This eliminates choice B, making the correct answer A.

Answer:

25 cm^2

Step-by-step explanation:

A scale drawing is a reduced form in terms of dimensions of an original image / building / object

the scale drawing is usually reduced at a constant dimension

scale of the drawing = original dimensions / dimensions of the scale drawing

Area if a square = length²

225 =  length²

length = √225

length = 15

if the map is drawn to scale of 1 : 3

the length on the map = 15/3 = 5

area of the square 5 x 5 = 25

Answer:

The ordered pair associated with a t-value of -1 is (-3, 1).

Step-by-step explanation:

Substitute the t-value, or -1, into both of the equations to find the pairs.

x = t - 2

x = (-1) - 2

x = -3

y = t^2

y = (-1)^2

y = 1

The ordered pair associated with a t-value of -1 is (-3, 1).

Answer:2/5

Step-by-step explanation: because 6 people in total like strawberry or vanilla so you get the probabliluty of 6/15 and when you simplify it you get 2/5

Answer:

3.14 ft

Step-by-step explanation:

45/360 × 3.14 × 8

= 1/8 × 3.14 × 8 = 3.14 ft

Answer: C

Step-by-step explanation:

Answer:

Solution given:

A.coordinate are

A(-2,3)

B(0,-3)

C(4,5)

B.Each length are :

we have

length [tex] \sqrt{(x2-x1)²+(y2-y1)²} [/tex]

now

AB:[tex] \sqrt{(-2-0)²+(3+3)²} [/tex]=[tex] 2\sqrt{10} [/tex]units

BC:[tex] \sqrt{(0-4)²+(-3-5)²} [/tex]=[tex] 4\sqrt{5} [/tex]units

AC:[tex] \sqrt{(-2-4)²+(3-5)²} [/tex]=[tex] 2\sqrt{10} [/tex]units

C. the figure:

By using Pythagoras law

base[b]=AB=perpendicular [p]=AC

hypotenuse [h]=BC

we have

h²=p²+b²

substituting value

([tex] 4\sqrt{5} [/tex])²=2p²

16*5=2*([tex] 2\sqrt{10} [/tex])²

80=2*4*10

80=80

SO IT IS RIGHT ANGLED ISOSCELES TRIANGLE.

Answer:

After 3 visits both plans will cost the same.

Step-by-step explanation:

Gym A costs $26.76 plus an additional $4 for each visit.

Gym B has no initial fee but costs $12.92 for each visist.

The cost for gym A can be written as

C= $26.76 + 4(x)  where x is the number of visits to the gym A

The cost for gym B can be written as

C= $12.92 (x)  where x is the number of visits to the gym B

Both costs will be equal

12.92x= 26.76 +4x

12.92x-4x= 26.76

8.92x= 26.76

x= 26.76/8.92

x= 3

after 3 visits both plans will cost the same.

Check

12.92x= 26.76 +4x

12.92*3= 26.76 +12

38.76= 38.76

Answer:

The correct answer to the problem is 9

Step-by-step explanation:

3 x- 1 = 26

3 x = 27

x = 9