What is the initial value of the function represented by this table?

x y
———-
0 4
1 9
2 14

1. 0
2. 4.
3. 5
4. 9

i dont know this questions

(Hypotenuse)² = (Base)²+ (Perpendicular)²

Taking, Hypotenuse As H

Base As B

Perpendicular As P

_________________________

H²= B²+ P²

[tex](9 \sqrt{2} ) {}^{2} = x {}^{2} + {x}^{2} \\ \\ \implies \: 81 \times 2 = 2x {}^{2} \\ \\ \implies162 = 2x {}^{2} \\ \\ \implies \frac{162}{2} = x {}^{2} \\ \\ \implies \cancel\frac{162}{2} = x {}^{2} \\ \\ \implies81 = {x}^{2} \\ \\ \implies x = \sqrt{81} \\ \\ \implies \: x = 9[/tex]

Answer:

b=90

c=30a=60

this kdkddkdkdk

Answer:

circumference = 2πr

diameter = 3ft, so radius =3/2 =1.5

                       =2π ×1.5=3π= 9.42ft

Answer:

here diameter =3 ft

radius=diameter/2

=3/2

=1.5 ft

now use formula 2 pie r where pie =3.14

=2*3.14*1.5 ft

=9.42 ft

Step-by-step explanation:

Hope this helps u!!

Answer:

19.4 in.

Step-by-step explanation:

if you meant to put a link there is none

Answer:

13.5 inches

Step-by-step explanation:

11.5 x 2.25 x 4

I could be wrong

Answer:

13.5 inches is correct :)

they are website explaining this so you can grasp I will share the link

Answer:

a) probability that any individual student has a flu shot is  0.30

b) The probability that more than 30 students have had flu shots is 0.1038

c) the probability that 20 or fewer students have had shots is 0.1314

Step-by-step explanation:

Given the data in the question;

Number of students n = 84

student health clinic reports that only 30% of students got a flu shot this year;

p = 30% = 0.30

now,

pn = 0.30 × 84 = 25.2 ( > 10 )

qn = (1-p)n = (1-0.30)84 = 0.70 × 84 = 58.8  ( > 10 )

Criterion for approximation of the binomial distribution is satisfied since both pn and qn are greater than 10.

hence, Normal distribution will have;

mean μ = np = 0.30 × 84 = 25.2

standard deviation σ = √( npq )

= √( 84 × 0.30 × 0.70 )

= √17.64

standard deviation σ = 4.2

a) the probability that any individual student has a flu shot

student health clinic reports that only 30% of students got a flu shot this year

p = 30% = 0.30

Therefore, probability that any individual student has a flu shot is  0.30

b) The probability that more than 30 students have had flu shots

P(X > 30)

we use real time limits to determine probability from binomial distribution,

hence upper limit will be 30.5

Z = (X - np) / √( npq )

Z = ( 30.5 - 25.2 ) / 4.2

Z = 5.3 / 4.2

Z = 1.26

from normal distribution table

[tex]Z_{1.26[/tex] = 0.1038

Therefore, The probability that more than 30 students have had flu shots is 0.1038

c) the probability that 20 or fewer students have had shots;

P( X ≤ 20 )

upper limit will be 20.5

Z = (X - np) / √( npq )

Z = ( 20.5 - 25.2 ) / 4.2

Z = -4.7 / 4.2

Z = -1.12

from normal distribution table

[tex]Z_{-1.12[/tex] = 0.1314

Therefore, the probability that 20 or fewer students have had shots is 0.1314

Answer:

48xy+36x

=6x(8y+6)

Step-by-step explanation:

Answer:

44.4 units

Step-by-step explanation:

Recall: 2 tangents drawn from an external point from a circle are congruent

Perimeter of the quadrilateral = AB + BC + CD + AD

AB = 3.1 + 8 = 11.1

BC = 3.1 + 8 = 11.1

CD = 11.1 (given)

AD = 8 + 3.1 = 11.1

Perimeter = 11.1 + 11.1 + 11.1 + 11.1

= 44.4 units

Answer:

3 ft 1 in

Step-by-step explanation:

6 ft 2 inches comes to 74 inches.

50% of that is 37 inches, or 3 ft 1 in

Answer:

Growth.

Step-by-step explanation:

y = 2(1/2)x is the same as y = x. as it multiplies and divides x by 2. y = x is exponential growth.

Hope that this helps!

Answer:

Solution given:

(x1,y1)=(-3,2)

(x2,y2)=(2,2)

length[d]=?

we have

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

=[tex] \sqrt{(2+3)²+(2-2)²} [/tex]

=[tex] \sqrt{5²} [/tex]

=5units

D 5 units is a right answer.

Answer:

Volume of iron used is 58982cm

Step-by-step explanation:

For hollow cylinder,

\bold{Height=9cm}Height=9cm

\bold{Internal \ radius=21cm}Internal radius=21cm

\bold{Externa \ radius=28cm}Externa radius=28cm

volume \: of \: cylinder = \pi \times {r}^{2} \times h \:volumeofcylinder=π×r

2

×h

\bold{Volume \ of \ cylinder \ with \ hollow \ part}Volume of cylinder with hollow part

\bold{=\frac{22}{7}×28^2×9}=

7

22

×28

2

×9

\bold{=22×4×28×9}=22×4×28×9

\bold{=71456cm^3}=71456cm

3

\bold{Volume \ of \ hollow \ part}Volume of hollow part

\bold{=\frac{22}{7}×21^2×9}=

7

22

×21

2

×9

\bold{=22×3×21×9}=22×3×21×9

\bold{=12474cm^3}=12474cm

3

\bold{Volume \ of \ iron \ used=}Volume of iron used=

\bold{Volume \ of \ cylinder \ with \ hollow \ part}Volume of cylinder with hollow part

\bold{- Volume \ of \ hollow \ part}−Volume of hollow part

{=71456-12474}=71456−12474

{=58982cm^3}=58982cm

3

\bold\red{Volume \ of \ iron \ used \ is \ 58982cm^3}Volume of iron used is 58982cm

3

Answer:

Volume:

First lets find the height of the triangle:

14 divided by 2 = 7

7 is now your base since we split it apart into two right triangles.

24^2 + 7^2 = 625

625: 25^2 = 225 perfect!

25 is now your height:

25 x 14 = 350, 350 divided by 2 (x 1/2) = 175(area of triangle)

175(area of triangle) x 20(width) = 2100, around 3500 m^3

Answer: $2

Step-by-step explanation:

Answer:

-53/12

Step-by-step explanation:

-7 2/3=-23/3

-5 1/2=-11/2

8 3/4=35/4

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

-23/3+(-11/2)+35/4

-23/3-11/2+35/4

-92/12-66/12+105/12

-53/12

Answer:

- 4 5/12

Step-by-step explanation:

- 7 2/3 + (-5 1/2) + 8 3/4

-7 2/3 - 5 1/2 + 8 3/4

-7 4/6 - 5 3/6 + 8 3/4

-13 1/6 + 8 3/4

-13 2/12 + 8 9/12 = -4 5/12

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Answer:

tenths.........

Step-by-step explanation:

.....is the answer

Answer B

Distribute the 2

Answer:

518,400ways

Step-by-step explanation:

nPr=n/n-r

10P3=10/(10-3)

=10/7

=10x9x8x7x6x5x4x3x2x1/7

=3,628,800/7

=518,400 ways

There is a total of 120 ways by which a teacher can ask 3 students from 10 students to complete the task.

Statistics frequently employs the binomial distribution as a discrete distribution. When compared to a binomial distribution, the normal distribution is continuous.

The chance for 'x' success of an investigation in 'n' trials is represented by the binomial distribution.

As per the given data in the question,

Total number of students in the class = 10

So, the ways the teacher can ask 3 students to complete the task will be,

= ¹⁰C₃ = 10!/[3! (10 - 3)!]

= (10 × 9 × 8 × 7!)/[3! × 7!]

= 720 / 6

= 120 ways.

To know more about Binomial Distribution:

https://brainly.com/question/14565246

#SPJ2

Answer:

10.5

Step-by-step explanation:

Answer:

The volume of the pyramid is 126in^3

Step-by-step explanation:

To find the volume of a pyramid you need to use this formula which is

V=lw·h/3

V=9·6·7/3

V=54·7/3

V=126in^3

Answer:

Distance in ft = 597.57 feet

Step-by-step explanation:

As per the

First equation of motion

84 mph = 37.5514 m/s

45 mph = 20.1168 m/s

v-u = a* t

Substituting the given values, we get -

37.5514 m/s - 20.1168 m/s = a * 6.3

a = 2.76 m/s^2

Now as per Newton's third law of motion

v^2-u^2 = 2 *a*S

Substituting the given values, we get -

37.5514^2 - 20.1168^2 = 2 * 2.76 m/s^2 * S

S = 182.142 Meters

Distance in ft = 597.57 feet

Answer:

answer: 36.67

Hope that helps!

Answer:

[tex]36\frac{2}{3}[/tex] %

Step-by-step explanation:

[tex]\frac{33}{90}: \frac{y}{100}[/tex]

y · 90 = 33 · 100

90y = 3300

90y ÷ 90 = 3300 ÷ 90

[tex]y=36\frac{2}{3}%[/tex]

Answer:

B

Step-by-step explanation:

To find the answer you can just input a number for x and then you should come up with a y-value.

The graph mentioned in option B is correct.

We have the the following function -

f(x) = -3 |x|

We have to select the correct graph from the given ones.

For a function f(x) = x, which is real in nature -

f(x) = |x| =  [tex]\left \{ {{-x\;\;\;for\;x < 0} \atop {x\;\;\;for\;x > 0}} \right.[/tex]

We will use this modulus property to solve the graph. We can further expand the function y = -3|x| as -

f(x) = -3|x| = [tex]\left \{ {{-3(-x)\;\;\;for\;x < 0} \atop {-3x\;\;\;for\;x > 0}} \right.[/tex]

For every negative value of x -

y = f(x) = 3x = negative value in a multiple of 3.

For every positive value of x -

y = f(x) = - 3x = negative value in a multiple of 3.

Hence, the graph mentioned in option B is correct.

To solve more questions on Modulus, visit the link below-

brainly.com/question/2288321

#SPJ5

Answer: [tex]||cu||=39[/tex]

Step-by-step explanation:

Given

[tex]u=<5,-12>[/tex] and [tex]c=-3[/tex]

[tex]cu[/tex] is a vector with 3 times the vector u in opposite direction

[tex]|u|=\sqrt{5^2+(-12)^2}\\|u|=\sqrt{25+144}\\|u|=13[/tex]

[tex]\therefore ||cu||=|3\times 13|\\\Rightarrow ||cu||=39[/tex]

option (a) is correct.