Please give me the correct answer

Answer:

p = 1

Step-by-step explanation:

Given that the system intersect at (4, q) then this point satisfies both equations, that is

q = 4² - 4(4) + 3

q = [tex]\frac{1}{2}[/tex] (4) + p

Equating both gives

16 - 16 + 3 = 2 + p, that is

3 = 2 + p ( subtract 2 from both sides )

p = 1

Answer:

11

Step-by-step explanation:

6.7 / .6

Multiply top and bottom by 10

67/6

66/6 = 11 so this is close to 11

Answer: 0.28157

Step-by-step explanation:

Given, The proportion of the community favored building a police substation in their neighborhood: p= 0.75

Number of citizens are chosen: n= 10

Let x be the binomial variable that represents the number of citizens favor the building of the police substation.

Then, the probability that exactly 8 of them favor the building of the police substation will be :

[tex]P(x=8)=\ ^{10}C_8(0.75)^8(1-0.75)^2[/tex]

 [Using binomial probability function [tex]P(X=x)=^nC_xp^x(1-p)^{n-x}[/tex]]

[tex]=\dfrac{10!}{8!2!}(0.100113)(0.0625)\\\\=0.2815678125\approx0.28157[/tex]

Hence, the probability that exactly 8 of them favor the building of the police substation =0.28157

Answer:

12 / 37 (or:=0.324324324...)

Step-by-step explanation:

Sinθ = opposite / hypotenuse

Hence

sinA = 12 / 37

(=0.324324324...)

Answer:

A = 19

Step-by-step explanation:

sin A = opp/hyp

sin A = 12/37

A = sin- ¹ 12/37

A=  18.92  or  19

Answer:

Step-by-step explanation:

The ceiling function is a python programming function that rounds a decimal point number to the nearest whole number.

Given the function expression  f(1.5), the ceiling function will round 1.5 to the nearest whole number which is 2

Answer:

Step-by-step explanation:

The inscribed angle intersects an arc that is half the measure of the of the arc intersected by the central angle. The inscribed angle's arc measures 36%, and the central angle's arc measure 72%

Answer:

75

%Step-by-step explanation:

The inscribed angle intersects an arc that is half the measure of the of the arc intersected by the central angle.

Explanation:

The vertical angles at C are congruent with each other, so we have the necessary conditions to invoke the SAS congruence postulate:

  ∆BCA ≅ ∆ECD

BA ≅ ED by CPCTC (corresponding parts of congruent triangles are congruent)

Answer:

[tex]\boxed{\sf A. \ 36}[/tex]

Step-by-step explanation:

The triangles are congruent. The sides are proportional.

Let x be the length of FQ.

[tex]\frac{24}{18} =\frac{x}{27}[/tex]

[tex]\sf Multiply \ both \ sides \ by \ 27.[/tex]

[tex]\frac{24}{18}(27)=\frac{x}{27}(27)[/tex]

[tex]36=x[/tex]

Answer: (upside down fancy u) q5

Step-by-step explanation:

Simply apply the law of conservative (upside down fancy u)

Answer:

3, 8, 12, 12, 14, 20, 21, 23, 26, 34

stem         leaf

0               3     8

1                 2     2       4               (you have 12,12,14)

2                0      1       3        6    ( numbers 20,21,23,26)

3                 4                               ( number 34)

Answer:

x = 59

Step-by-step explanation:

x−2=57

Add 2 to each side

x−2+2=57+2

x = 59

Answer:

X=59

Step-by-step explanation:

x−2=57

to isolate X you would have to add 2 to each side. x-2(+2)=x and 57(+2)=59

Answer:

see explanation

Step-by-step explanation:

If x = 3 is a zero then p(3) = 0 , that is

p(3) = 3(3)² - 27 = 3(9) - 27 = 27 - 27 = 0

Thus x = 3 is a zero of p(x)

Answer:

Step-by-step explanation:

p(x) = 3x² - 27

p(3) = 3*3² - 27

      = 3 * 9 - 27

     = 27 - 27

    = 0

p(3) =0 . Therefore, 3 is z zero of p(x)

Answer:

[tex]Domain: \{0,1,2,3,4,5,6\}[/tex]

Step-by-step explanation:

Given

[tex]m = 45 - 7.5b[/tex]

[tex]Values: \{0,1,2,3,4,5,6,7,8,9,10\}[/tex]

Required

Select all values that belongs to the domain of the given function

Analyzing the question;

The question says that the function, m represent the amount left after buying b number of books

This means that, after purchasing b books, I'm expected to have a certain m amount of dollars left with me;

This implies that the value of m can never be negative;

So, the domain of m are values of b such that [tex]m \geq 0[/tex]

When b = 0

[tex]m = 45 - 7.5(0)[/tex]

[tex]m = 45 - 0[/tex]

[tex]m = 45[/tex]

When b = 1

[tex]m = 45 - 7.5(1)[/tex]

[tex]m = 45 - 7.5[/tex]

[tex]m = 37.5[/tex]

When b = 2

[tex]m = 45 - 7.5(2)[/tex]

[tex]m = 45 - 15[/tex]

[tex]m = 30[/tex]

When b = 3

[tex]m = 45 - 7.5(3)[/tex]

[tex]m = 45 - 22.5[/tex]

[tex]m = 22.5[/tex]

When b = 4

[tex]m = 45 - 7.5(4)[/tex]

[tex]m = 45 - 30[/tex]

[tex]m = 15[/tex]

When b = 5

[tex]m = 45 - 7.5(5)[/tex]

[tex]m = 45 - 37.5[/tex]

[tex]m = 7.5[/tex]

When b = 6

[tex]m = 45 - 7.5(6)[/tex]

[tex]m = 45 - 45[/tex]

[tex]m = 0[/tex]

When b = 7

[tex]m = 45 - 7.5(7)[/tex]

[tex]m = 45 - 52.5[/tex]

[tex]m = -7.5[/tex]

There's no need to check for other values, as they will result in negative values of m;

Hence, the domain of m are:

[tex]Domain: \{0,1,2,3,4,5,6\}[/tex]

The values that are in the domain of the function are 7, 8, 9 and 10

Given the linear function  m=45−7.5b

where:

For th domain to exist, then;

45 - 7.5b< 0

7.5 b > 45

b > 45/7.5

b > 6

Hence the values that are in the domain of the function are 7, 8, 9 and 10

Learn more on domain here; https://brainly.com/question/10197594

Greetings from Brasil...

We need to use the Cosine Law in Any Triangle, so we can use Heron's formula.

AC² = AB² + BC² - 2.AB.BC.COS B

AC² = 11² + 9² - 2.11.9.COS 63

AC ≈ 10,63

Heron's Formula:

Area = √[P.(P - AB).(P - BC).(P - AC)]

where P = (AB + BC + AC)/2

P = (11 + 9 + 10,63)/2 ⇒ P ≈ 15,31

Area = √[15,31.(15,31 - 11).(15,31 - 9).(15,31 - 10,63)]

Answer:

6

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

i checked on edge

Answer:

Step-by-step explanation:

To find x we use cosine

That's

cos ∅ = adjacent / hypotenuse

From the question

The adjacent is x

The hypotenuse is 28

So we have

cos 43 = x / 28

x = 28 cos 43

x = 20.477

x = 20 to the nearest tenth

Hope this helps you

Answer:

[tex]\huge\boxed{f(x - 2) = x + 6}[/tex]

Step-by-step explanation:

f(x) + n - shift the graph n units up

f(x) - n - shift the graph n units down

f(x + n) - shift the graph n units to the left

f(x - n) - shift the graph n units to the right

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

f(x) = x + 8

shift the graph 2 units to the right

f(x - 2) = (x - 2) + 8 = x - 2 + 8 = x + 6

Answer:

49453757

Step-by-step explanation:

Answer:

49453757

Step-by-step explanation:

Dont forget to rate and thanks!

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

Explanation:

The information about angle 2 is unnecessary info that your teacher likely put in there as a distraction. All we need is angle 8, which is 124 degrees. Angle 7 adds to this to form a 180 degree straight angle.

(angle 7) + (angle 8) = 180

(angle 7) + 124 = 180

angle 7 = 180 - 124

angle 7 = 56 degrees

Answer:

The measure of angle 7 is 56°.

Step-by-step explanation:

here, angle 8 = 124°

now, angle 8+ angle 7=180° (as the sum of linear pair is 180°)

or, 124°+angle 7=180°

or, angle 7=180°-124°

Therefore, tge measure of angle 7 is 56°.

Hope it helps.

Answer:

b

Step-by-step explanation:

The function is positive for all real values of x where

x < –6 or x > –3.

The function is negative for all real values of x where

x < –2.

Answer:

17,725/14.

Step-by-step explanation:

Let's say that the blank is represented by x.

Since the question asks what is 16.8% of x, we can set up a proportion where 16.8 out of 100 is equivalent to 212.7 out of x. The 100 represents the "whole" number, which corresponds to x. The 212.7 IS the 16.8 of x.

[tex]\frac{16.8}{100} =\frac{212.7}{x}[/tex]

16.8 * x = 212.7 * 100

16.8x = 21,270

x = 21,270 / 16.8

x = 212,700 / 168

x = 17,725 / 14 = 1,266.071429

To check our work, 1,266.071429 * 0.168 = 212.7.

Hope this helps!

Answer:

7/16=x/4

4 times 7/16= 4 times x/4

7/4=x

Step-by-step explanation:

Answer:

Step-by-step explanation:

[tex] \frac{7}{16} = \frac{x}{4} [/tex]

Apply cross product property

[tex]16 x = 7 \times 4[/tex]

Multiply the numbers

[tex]16x = 28[/tex]

Divide both sides of the equation by 16

[tex] \frac{16x}{16} = \frac{28}{16} [/tex]

Calculate

[tex]x = 1.75[/tex]

Hope this helps...

Best regards!!

Answer:

Step-by-step explanation: The expected loss is 50 cents, we know that it is more likely to lose than win. It is therefore difficult to get-50, so the overall difference between the two possibilities is 2, 50/200=1/4, and the probability to win is 1/4, and the probability to lose is 3/4. Since (1/4)*3=3/4, the number of black balls is 3 times the number of white balls, so k=15.

Answer:

Option C

x²+ 2x -24=0

x²+6x-4x-24= 0

x(x+6) -4(x+6) = 0

(x+6)(x-4) = 0

x= -6 and 4

Therefore, for x = 4 and -6 , the above given equation is true.

Answer:

210

Step-by-step explanation:

Given:

Medals in sports = 40

Medals in dance = 25

Medals in music = 212

Total students that received medals = 55

Total students that received medals in all three categories = 6

Required:

How many students get medals in exactly two of these categories?

Take the following:

A = set of persons who got medals in sports.

B = set of persons who got medals in dance

C = set of persons who got medals in music.

Therefore,

n(A) = 40

n(B) = 25

n(C) = 212

n(A∪B∪C)= 55

n(A∩B∩C)= 6

To find how many students get medals in exactly two of these categories, we have:

n(A∩B) + n(B∩C) + n(A∩C) −3*n(A∩B∩C)

=n(A∩B) + n(B∩C) + n(A∩C) −3*6 ……............... (1)

n(A∪B∪C)=n(A)+n(B)+n(C)−n(A∩B)−n(B∩C)−n(A∩C)+n(A∩B∩C)

Thus, n(A∩B)+n(B∩C)+n(A∩C)=n(A)+n(B)+n(C)+n(A∩B∩C)−n(A∪B∪C)

Using equation 1:

=n(A)+n(B)+n(C)+n(A∩B∩C)−n(A∪B∪C)−18

Substitute values in the equation:

= 40 + 25 + 212 + 6 − 55 − 18

= 283 - 73

= 210

Number of students that get medals in exactly two of these categories are 210

Answer:

C

Step-by-step explanation:

4,800 times 7% is 336, and 1200 times 14% is 168, and 168 is half as much as 336, so the correct answer is c

Answer:

C

Step-by-step explanation:

Multiply .7 to 6000 and solve

Answer:

36 : 6 and -6

12 = [tex]2\sqrt{3} , -2\sqrt{3}[/tex]

1.96 =1.4 and -1.4

0.64 : 0.8 and -0.8

400 : 20 and -20

25/36 = 5/6 and -5/6

Step-by-step explanation:

we know that

(-x)^2 = x^2

ALSO

(x)^2 = x^2

thus, square of both negative and positive number is same positive number.

_________________________________________________

36 = 6*6

36 = -6*-6

hence

square roots of 36 is both -6 and 6

12 = 4*3 = [tex]2^2*\sqrt{3} *\sqrt{3}[/tex]

[tex]\sqrt{12} = 2\sqrt{3}[/tex]

also

12 = [tex]-2\sqrt{3} *-2\sqrt{3}[/tex]

[tex]\sqrt{12} = -2\sqrt{3}[/tex]

___________________________________

1.96 = 196/100 = (14/10)^2

1.96 = 196/100 = (-14/10)^2

hence

[tex]\sqrt{1.96} = 14/10 \ or -14/10[/tex]

_______________________________

0.64 = 64/100 = (8/10)^2 = 0.8^2

0.64 = 64/100 = (-8/10)^2 = (-0.8)^2

Thus, square root of  0.64 = 0.8 and -0.8

_________________________________

400 = 20^2

400 = (-20)^2

[tex]\sqrt{400} = 20\\\sqrt{400} = -20\\[/tex]

__________________________________

25/36 = (5/6)^2

25/36 = (-5/6)^2

[tex]\sqrt{ 25/36} = 5/6 \\\sqrt{ 25/36} = (-5/6[/tex]

Answer:

1000

Step-by-step explanation!

The formula for the amount accrued [ƒ(x)] on an investment earning compound interest is f(t) = P(1 + r)^t where:

P = the amount of money invested (the principal)

r = the interest rate per payment period expressed as a decimal fraction

t = the number of periods

Your formula is

f(x) = 1000(1 + 0.05)^x

In comparison, we can see that the term that represents the amount of money originally invested is 1000.

Answer:

(A) 1,000

Step-by-step explanation:

i just took the test

Answer:

Distance is 200m between each pole

Step-by-step explanation:

First, convert the length of the road into meters

        1km= 1000m

        1000m +200m= 1200m

There are 6 poles on the side and they're equally spaced

Divide the length of the road by the number of poles to get the distance between the poles

        Distance between poles= Length of road/ Number of poles

        Distance between poles= 1200m/ 6 poles

       Distance between poles= 200m

Answer:

The mode of the above is 6.

Step-by-step explanation:

Mode-the number that occurs most frequently in a set of numbers.

The six appeared three times being the most.

I really hope this helps.