Which relation is a function?

Answer:

See below

Step-by-step explanation:

Polynomials are sums of terms in the form of k⋅xⁿ, where k is any number and n is a positive integer. For example, 3x²+2x-5 is a polynomial.

Answer:

21.8 m/s

Step-by-step explanation:

Given that Tom drops a object from a height of h meters and it hits the ground with a veloc8of v m/s and it is given by function ;

[tex]\longrightarrow v =\sqrt{19.6h}[/tex]

We need to find out the velocity upon reaching the ground when it is dropped from a height of 24.3 m . On plugging in 24.3 in place of h we have ,

[tex]\longrightarrow v =\sqrt{19.6\times 24.3 }\ m/s\\\\\longrightarrow v =\sqrt{ 476.28} m/s \\\\\longrightarrow v = 21.823 \ m/s \\\\\longrightarrow \underline{\underline{ v = 21.8 \ m/s }}[/tex]

And we are done !

Answer:

21.8

Step-by-step explanation:

The formula is given :

Given that h = 24.3 m, we need to find v.

Substituting the value of h in the formula :

Answer:

14 meters

Step-by-step explanation:

Answer:

620.097 units

Step-by-step explanation:

1. Consider the following points:

(-71,432) and (511,218)

The objective is to find the distance between these two points using a graphing calculator and round your answers to the nearest thousandth.

Using my knowledge of "Mental Math" I can determine that the final answer is 620.097 units.

Answer:

[tex] {2t}^{3} + {20t}^{2} - 2t + 15[/tex]

Hope this helps!!

Answer:

third angle: 50°

The interior angles of a triangle sum ups to 180°.

Here given two angles: 95°, 35°, x - Let the missing angle be x

When they sum up, they equal to 180:

x + 35 + 95 = 180

x + 130 = 180

x = 180 - 130

x = 50

Given two angles are 35° and 95°

Let the unknown angle be "x"

We know that sum of angles of a triangle is 180°

Therefore,

[tex]\sf{35°+95° + x = 180°}[/tex]

[tex]\sf{130° + x = 180°}[/tex]

[tex]\sf{x = 180°-130°}[/tex]

[tex]\sf{x = 50°}[/tex]

Hence, the missing angle is 50°.

Answer:

C) x ≥ 11 or x ≤ -3

Explanation:

Given following: |x − 4| ≥ 7

Apply absolute rule: If |u| ≥ 0 then u ≤ -a, u ≥ a

Solving stepwise:

⇒ x - 4  ≤ -7, x - 4 ≥ 7

change sides

⇒ x ≤ -7 + 4, x ≥ 7 + 4

add/subtract integers

⇒ x ≤ -3, x ≥ 11

Answer:

x ≥ 11 or x ≤ -3

Step-by-step explanation:

Hi there! Please take a look at the following explanation and let me know in comment if you have any questions!

[tex]\displaystyle \large{|x-4|\geq 7}[/tex]

To solve an absolute inequality, consider the following theorems.

For b ≥ 0:

(1) If |x-a| ≥ b then we have x-a ≥ b or x-a ≤ -b so that we end up with x ≥ b+a, x ≤ -b+a

(2) If |x-a| ≤ b then we have -b ≤ x-a ≤ b which can be simplified to -b+a ≤ x ≤ b+a

From the inequality, we use the (1) theorem.

[tex]\displaystyle \large{x-4\geq 7, x-4\leq -7}\\\\\displaystyle \large{x\geq 7+4, x\leq -7+4}\\\\\displaystyle \large{x\geq 11, x \leq -3}[/tex]

Therefore, the answer is x ≥ 11 or x ≤ -3

Answer:

D. y= 1/9x

Step-by-step explanation:

y= 1/9x

(x)=9y

so I think d is your answer sorry if its wrong but i hope i helped.

Answer: D. y= 1/9x

Step-by-step explanation: i think you answer is  correct if not it's ok

Answer:

the answer is 0

Step-by-step explanation:

2x-4

putting 10

2x10-4

20-4

=16

putting 45

2x45-4

90-4

=86

putting 60

60x2-4

120-4

=116

putting 2

2x2=4

4-4=0

Answer:

D) 0.69

Step-by-step explanation:

Given :

5 × 2³ˣ = 21

Divide by 5 on each side :

Taking the cubic root :

Using logarithm values :

Answer:

D.  0.69

Step-by-step explanation:

Given equation:

[tex]5 \cdot 2^{3x}=21[/tex]

Divide both sides by 5:

[tex]\implies \dfrac{5 \cdot 2^{3x}}{5}=\dfrac{21}{5}[/tex]

[tex]\implies2^{3x}=4.2[/tex]

[tex]\textsf{Apply exponent rule} \quad a^{bc}=(a^b)^c:[/tex]

[tex]\implies(2^3)^x=4.2[/tex]

[tex]\implies8^x=4.2[/tex]

Take natural logs of both sides:

[tex]\implies \ln 8^x=\ln 4.2[/tex]

[tex]\textsf{Apply the log Power law} \quad \ln x^n=n\ln x :[/tex]

[tex]\implies x \ln 8=\ln 4.2[/tex]

Divide both sides by ln 8:

[tex]\implies \dfrac{x \ln 8}{\ln 8}=\dfrac{\ln 4.2}{\ln 8}[/tex]

[tex]\implies x=\dfrac{\ln 4.2}{\ln 8}[/tex]

[tex]\implies x=0.690129776...[/tex]

[tex]\implies x=0.69 \: \sf (2\:dp)[/tex]

Answer:

150 degrees

Step-by-step explanation:

This is because the opposite angles in this parallelogram are equal.

So

a_2

a_3

a_4

a_5

Step-by-step explanation:

[tex] \frac{a}{b} c = \frac{a}{ \frac{b}{c} } [/tex]

[tex] \frac{a}{b} c = a \times \frac{c}{b} [/tex]

Answer:

Step-by-step explanation: change A/B/C to A÷B/C then change the division sign into a multiplicmultiplication sign so that you will have A×C/Bwhich will make your left equation = to your right equation

Answer:

S.A = 2( L×W+W×H+ H×L)

= 2(2×4+4×1+1×2)

= 2(8+4+2)

2(14)

= 2×14= 28

Step-by-step explanation:

answer 28

Answer:

a. the time spent answering homework

b. time finished and time started

c. subtraction

d. 7:20-6:50 (unsure how this is supposed to be laid out)

e. Carlo spent 30 minutes answering his homework

Answer:

180cm

Step-by-step explanation:

To find the volume you do Length times Width times Height

use this it'll help when you run into this again, it's formula is just

LxWxH, in this order good luck!

Answer:

14

Step-by-step explanation: because you find a common number that both the numerator and the denominator can be divided by. In this case, it is 2 . You can't divide 14 anymore so that is the final answer.

Step-by-step explanation:

oh, come on ! one is finding the inequality itself, the other is solving it. you don't know the difference of that ?

if so, please let me know, what you don't understand of the following explanations, so that I can add whatever is necessary.

you know, what an equality (ahem, equation) is ?

both, equations and inequalities are like a balancing scale with usual different things on the two pans left and right.

an equation is when both sides are in balance. their weight is equal.

an inequality is, when one side is heavier than the other.

and you know, what a variable is ? it is a kind of placeholder for actual values. it is like keeping some space open on the scale pan with a list of conditions for what kind of things you can put in that open space, so that the status of the scale stays unchanged.

A

twenty less than a number is at least 15

looks mathematically

x - 20 >= 15 (larger or equal = "at least")

B

x - 20 >= 15

x >= 35

so, this is true for

{x € R | x >= 35}

or

{x € R | x = 35 or x > 35}

so, this is true for all real values of x that are at least 35.

Answer:

A) 70%

B) 95%

Step-by-step explanation:

A) $200 to $340

Increase = $340 - $200 = $140

Percentage of increase = $140/$200 * 100% = 70%

B) Additional $50

Increase = $140 + $50 = $190

Percentage of increase = $190/$200 * 100% = 95%

The number 5 is closest to the mean of the distribution, option (B) is correct.

It is defined as the single number that represents the mean value for the given set of data or the closed value for each entry given in the set of data.

From the histogram:

2, 6, 4, 2, 0, 1, 6, 4, 2, 1

The sum of the above data = 28

= 2×1+6×2+4×3+2×4+0×5+1×6+6×7+4×8+2×9+1×10

= 2+12+12+8+6+42+32+18+10

= 142

Mean = 142/28

= 5.07

Thus, the number 5 is closest to the mean of the distribution option (B) is correct.

Learn more about the mean here:

https://brainly.com/question/22871228

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Answer:4

Step-by-step explanation:jus done this question

Answer:

19 or 20

Step-by-step explanation:

well is see

Monday = 12

Tuesday = 12 + 3 = 15

Wednesday = 15 +3 = 18

so the pattern is 3

but now since there is only 14, 13, 19, and 20

we could say she only added 1 or 1 each time

because it said she wanted cookies to stay about 18

1 x 2 = 2

18 + 2 = 20

or

1 + 18

19

sorry if it's wrong

a) losing value is exponential decay.

b) Initial value is the price you paid = $1,200

c) decay factor is 100% - the percent lost per year = 90%

d) value = starting value x decay factor^ time

 f(x) = 1200 x 0.90^x

e) replace x with 3 then 8 and solve:

f(3) = 1200 x 0.90^3 = 874.80

after 3 years it is worth $874.80

f(8) = 1200 x 0.90^8 = 516.56

after 8 years it is worth $516.56

Answer:

x= 11.87

Step-by-step explanation:

sec(32) = 14 /x

1.18=14/x

x1.18 =14

x= 11.87

Answer:

84

Step-by-step explanation:

There are 12 inches in a foot. We have 7 feet. To find how many inches it is, all we do is multiply 7 by 12, which if we do, we get 84.

Hope this helps!

Answer:

84

Step-by-step explanation:

Step-by-step explanation:

2) 8,6,5,3 ,57 7,4,2/8

=92/8

mean =11.5

Arrange the terms in ascending order

2,3, 4, 5, 6, 7, 8, 57

the median of the ascending set= 5.5

3) 72 75 85 82 37 108/ 6

459/6

mean =76.5

Arrange the terms in ascending order

37, 72, 75, 82, 85, 108

the median of the ascending set= 78.5

4) 10 students were asked because there were 10 data values in the list.

5) it should be 55/10 =5.5

so its false

6) Sum first and find the mean number

5+4+3+2+1/5

=3

There are a total of  180 seats in the theater

The theatre illustrates an arithmetic sequence, with the following parameters:

Number of rows = 18

Let the number of seats per row be n.

So, we have:

Total = 18n

When there are 3 fewer rows, the total number of seats is:

Total = (18 - 3) * (n + 6)

This gives

Total = 15* (n + 6)

Substitute Total = 18n in Total = 15* (n + 6)

18n = 15* (n + 6)

Open the bracket

18n = 15n + 90

Subtract 15n from both sides

3n = 30

Divide both sides by 3

n = 10

Substitute n = 10 in Total = 18n

Total = 18 *10

This gives

Total = 180

Hence, there are 180 seats in the theater

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Answer:

Step-by-step explanation:

the bars, |   |, mean absolute value

for example, if it was

| -9 |

then it would be 9

if it was

| 9 |

then it would be 9

if it was

| -550 |

it would be 550

you take the number, and if its negative, then it becomes positive

thats it

The proof of the given statements is shown below:

A line segment which touches a circle specified to only one point is called a tangent to that circle.

1. given

2. A line is a tangent to a circle if and only if the line is perpendicular to the radius drawn to the point of tangency.

3. Since the tangent is perpendicular to radius i.e., EFC is right angle then,

    angle EFC =90

4.  Sum of interior angles of a triangle is 180°.

5. proved above: angle EFC= 90

6. FEC + ECF= 180-90=90

7. As proved above

   FEC + ECF=90, its shows that angle FEC and ECF are complementary angle.

Learn more about tangent here:

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