Examine the table of input (x) and output (y) values below. What is the relationship between the input and output values? Write an equation for this relationship. input (x) –1 0 1 2 3 4 5 output (y) –4 –1 2 5 8 11 14 What do you notice about the relationship between the x and y values?

Answer:

Step-by-step explanation:

alphabet to represent numbers.

Answer:

  tan(α) = 1/tan(90°-α)

Step-by-step explanation:

The tangent of one is the reciprocal of the tangent of the other.

__

In a right triangle, ...

  tan = opposite/adjacent

For the two complementary acute angles in such a triangle, opposite and adjacent are swapped. That is the tangent of one is the inverse of the tangent of the other. (That inverse is also known as the cotangent.)

  tan(α) = cot(90°-α) = 1/tan(90°-α)

Step-by-step explanation:

Hello!!!!

According to the question,

distance covered (d)= 45km.

time taken (t)= 1 hr and 15 mins.

now,

let's find answer of this question no. i).

》answer :

speed (s)= distance by time taken

= 45 /1.25

so, the speed is 36 km/hr.

now, for 2nd question,

time (t)= 2hrs and 40 mins.

speed (s)= 36km / hr

now,

distance (d)= s×t

= 36×2.6666666667

= 96km....is yourrequired answer.

Hope it helps...

Answer:

Anita's shape

Step-by-step explanation:

A shape with less number of sides will have longer sides.

Since, Anita's shape has less number of sides as compared to others.

Therefore, Anita's shape will have longest sides.

Answer:

[tex]\boxed{\sf 6.4 \ seconds}[/tex]

Step-by-step explanation:

t = time (s) ⇒ ?

d = distance falling (m) ⇒ 200 (m)

a = acceleration due to gravity ⇒ 9.8 (m/s²)

The time in seconds is not given. Solve for time using the formula.

[tex]t=\sqrt{\frac{2(200)}{9.8} }[/tex]

[tex]t=\sqrt{\frac{400}{9.8} }[/tex]

[tex]t= 6.388766...[/tex]

Round answer to nearest tenth of a second.

[tex]t \approx 6.4[/tex]

Answer:

6.82 cm

Step-by-step explanation:

1000=V=pi*r^2*h. 1000=pi*r^3, r=6.82 cm

Answer:

yes and no

Step-by-step explanation:

if a machine is work a lot lot LOT, then it might be jamed

or the teacher might have accidentally pressed blast and you might have not seen the buttons correctly

( also i am not a student of yours )

Answer:

It is 9.5

Step-by-step explanation:

[tex] = (89.3 \times 0.51 )\div 4.8[/tex]

first solve the bracket:

[tex] = (45.543) \div 4.8 \\ = 9.488[/tex]

Answer:

A=535.93

Step-by-step explanation:

A=P(1+r)^t

A=500[(1+0.07/4)]^4

A=535.93

Answer:

1/19

Step-by-step explanation:

11 blue marbles, 4 green marbles, and 5 purple marbles = 20 marbles

P( green) = green / total = 4/20 = 1/5

Now keep the green

11 blue marbles, 3 green marbles, and 5 purple marbles = 19 marbles

P(purple) = purple/ total = 5/19

P(green, keep,purple) = 1/5 * 5/19 = 1/19

Answer:

y= - 1.4

x= 0.2

Step-by-step explanation:

2x-Y= -1

x-2y=4

Answer:

6 choose 3 = 20

Step-by-step explanation:

[tex]=\frac{n!}{r!\left(n-r\right)!}[/tex]

6 choose 3 = 20

The total combinations of fruit he can bring is 20 if Bill has an apple, an orange, a pear, a grapefruit, a banana, and a kiwi at home and he wants to bring three pieces of fruit to school the answer is 20.

A permutation is the number of different ways a set can be organized; order matters in permutations, but not in combinations.

We have:

Bill has an apple, an orange, a pear, a grapefruit, a banana, and a kiwi at home and he wants to bring three pieces of fruit to school

Total number of fruits = 1+1+1+1+1+1

Total number of fruits = 6

n = 6

He wants to bring three pieces of fruit to school,

r = 3

Total combination:

= C(6, 3)

= 6!/(6-3)!3!

= 720/(6)(6)

= 720/36

= 20 combination

Thus, the total combinations of fruit he can bring is 20 if Bill has an apple, an orange, a pear, a grapefruit, a banana, and a kiwi at home and he wants to bring three pieces of fruit to school the answer is 20.

Learn more about permutation and combination here:

https://brainly.com/question/2295036

#SPJ5

Answer:

It is so easy u should get this right.

First draw a circle and there is an arc that is like forming a triangle inside a circle and then ab angle is 100 degree and outside is the center of the circle. And since u try to find how much is outside it most likely means that 100-60=40

so it b 40.

Step-by-step explanation:

The number of degrees in ∠ABO is 50°. Therefore, option A is the correct answer.

Given that, in a circle whose centre is O, arc AB contains 100°.

We need to find the number of degrees in ∠ABO.

An arc of a circle is a section of the circumference of the circle between two radii. A central angle of a circle is an angle between two radii with the vertex at the centre. The central angle of an arc is the central angle subtended by the arc. The measure of an arc is the measure of its central angle.

According to the theorem ∠ABO=1/2 × arc AB.

So, ∠ABO=1/2 × 100°=50°

The number of degrees in ∠ABO is 50°. Therefore, option A is the correct answer.

Learn more here about arc of a circle here:

https://brainly.com/question/15448382.

#SPJ2

Answer:

Step-by-step explanation:

Solution:

AM =( X_1 + X_2 )/2

=( 18 + 2 )/2

=20/2

=10

Find Geometric mean for data 18,2

Solution:

GM =sqrt( X_1 × X_2 )

=sqrt( 18 × 2 )

=sqrt(36)

=6

Answer:

C!

Step-by-step explanation:

Answer:

B847,030

Step-by-step explanation:

y=95,000(1.2)^x

2025 - 2013 = 12

y=95,000(1.2)^12

y=847029.54258

Answer:

2x+59.

Step-by-step explanation:

Let J represent Jessica's weight and R represent Ronda's weight.

Jessica weighs x+34 pounds. Thus:

[tex]J=x+34[/tex]

Ronda weighs 12 pounds less than Jessica. In other words:

[tex]R=J-12=(x+34)-12\\R=x+22[/tex]

The sum of their weights, therefore, is:

[tex]J+R\\=(x+34)+(x+22)=2x+56[/tex]

Now, if Jessica gains 5 pounds and Ronda loses 2 pounds, the net gain of the total weight would be 3 pounds. Thus, we only need to add 3 to the original total to find the sum of their new weights:

[tex]2x+56+3=2x+59[/tex]

The sum of the new [weights] is represented by 2x+59.

Answer:

[tex]x^4-9x^2-28x=-12[/tex]

Step-by-step explanation:

[tex](x^2-4x)^2+7x^2-28x+12=0[/tex]

[tex](x^4-16x^2)+7x^2-28x=-12[/tex]

[tex]x^4-9x^2-28x=-12[/tex]

Answer:

4 x n= y²

You have to find the product of a number and 4

Answer:

√4×n

Step-by-step explanation:

4*n squared so n stands for number

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      Hi my lil bunny!

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Let's solve your inequality step-by-step.

[tex]x(x+2)<x[/tex]

[tex]x^2 + 2x < x[/tex]

Let's find the critical points of the inequality.

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

[tex]x^2 + 2x - x - x[/tex]  (Subtract x from both sides)

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

[tex]x ( x + 1 ) = 0[/tex] (Factor left side of equation)

[tex]x = 0 |OR| x + 1 = 0[/tex] (Set factors equal to 0)

[tex]x = 0 |OR| x = -1[/tex]

Check intervals in between critical points. (Test values in the intervals to see if they work.)

[tex]x < - 1[/tex] (Doesn't work in original inequality)

[tex]-1 < x < 0[/tex] (Works in original inequality)

[tex]x > 0[/tex]  (Doesn't work in original inequality)

So the answer is : [tex]-1 < x < 0[/tex]

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If this helped you, could you maybe give brainliest..?

❀*May*❀

Long piece is 81 inches

====================================================

Explanation:

x = length of short piece

3x = length of the longer piece (3 times longer)

x+3x = 4x = total length

total length = 108

So 4x = 108 is the equation which solves to x = 27 after dividing both sides by 4.

The short piece is x = 27 inches and the long piece is 3*x = 3*27 = 81 inches. Adding the two pieces gives 27+81 = 108 which helps confirm the answer.

Answer:

y = 2/3x + 4/3

Step-by-step explanation:

i found the slope using [tex]\frac{rise}{run}[/tex]. so it would be 2/3. next i just kinda tested similar numbers in the graph to find b.

if you aren't allowed to put factions i would say put:

y = 0.67x + 1.33

Answer:

[tex]2x - 3y + 4 = 0[/tex]

Step-by-step explanation:

The formula of finding equation of two different point is

[tex] \frac{x - x1}{x1 - x2} = \frac{y - y1}{y1 - y2} [/tex]

here, x1 =1, x2=4, y1= 2 and y2= 4

hope you can understand.

Answer:

B, C, A.

Step-by-step explanation:

A = C + 3A = C + 3

A = C + 3

A = C + 3A

C + 3A = C + 3

3A = 3

A = 1

A = C + 3

1 = C + 3

C + 3 = 1

C = -2

B = 2C

B = 2(-2)

B = -4.

So, from least to greatest, B = -4, C = -2, and A = 1.

Hope this helps!

Answer:

Sum = 9a + 45d = 108. Or a + 5d = 12. Hence 6th term = 12. SUFFICIENT.

Answer:

The diameter of the bacterium is 4.05 times the diameter of the plant cell

Step-by-step explanation:

Given

The given parameters both represent diameters

Plant Cell; P = 1.26m

Bacterium; B = 5.1m

Required

Compare both diameters;

Write out both expressions

[tex]P = 1.26[/tex]

[tex]B = 5.1[/tex]

Divide B by P

[tex]\frac{B}{P} = \frac{5.1}{1.26}[/tex]

[tex]\frac{B}{P} = 4.04761904762[/tex]

Approximate

[tex]\frac{B}{P} = 4.05[/tex]

Multiply both sides by P

[tex]P * \frac{B}{P} = 4.05 * P[/tex]

[tex]B = 4.05 * P[/tex]

[tex]B = 4.05P[/tex]

This implies that;

The diameter of the bacterium is 4.05 times the diameter of the plant cell

Answer:

It would be difficult to see what you are doing if the line segments overlapped, making it easier to make a mistake and harder to check your work.

Answer:

96

Step-by-step explanation:

SA = 6*s^2

Since s = 4, we need to square it.

4^2 (4 Squared) = 16

Now we need to multiply 16 by 6 since there are 6 sides on a square.

16*6 = 96

So our Answer is 96.

--Variables

SA= Surface Area

s = Side Length or 4

Answer:

x=1 or x=3

Step-by-step explanation:

Hello, please consider the following.

[tex]x^2-4x+3=0\\\\\text{Step 1 - complete the square}\\\\x^2-4x+3=x^2-2*2*x+3=(x-2)^2-4+3=(x-2)^2-1=0\\\\\text{Step 2 - move the constant to the right side, meaning adding 1 here.}\\\\(x-2)^2=1\\\\\text{Step 3 - take the root}\\\\x-2=\pm1\\\\x=2-1=1 \ \ or \ \ x=2+1=3[/tex]

Thank you

answers are -2,1

.

......

Answer:

all real numbers less than or equals to 4

Answer: He bought 20 ice cream bars and 14 popsicle

Step-by-step explanation:

To solve this I used the elimination method, you could use substitution as well

Here are our two equations

x+y=34 Because the total number of ice creams bought must be given to 34 children and no more

2x+5y=128 because that is the cost for each ice cream and the amount he spent

For the elimination method we have to cancel out one of the variables, I decided to cancel out the x, so I multiplied the top equation by -2. So i got -2x-2y=-68

2x+5y=128 Then we get

3y=60 so

y=20

Now we can go back to the first equation and plug in y.

x+20=34

  -20  -20

x=14

So he bought 14 popsicles and 20 ice cream bars.