Of the teacups in Bonnie's Tea Shop, 1/12 are blue and another 1/12 are orange. What fraction of the teacups are either blue or orange?

Given:

The parent function is:

[tex]f(x)=x^2[/tex]

The graphs of f(x) and g(x) are given.

The graph of g(x) passes through the point (3,3).

To find:

The function g(x).

Solution:

From the given graph, it is clear that the graph of f(x) compressed vertically to get the graph of g(x). So,

[tex]g(x)=kf(x)[/tex]

Where, k is the stretch factor.

It can be written as:

[tex]g(x)=kx^2[/tex]                 ...(i)

The graph of g(x) passes through the point (3,3). Putting [tex]g(x)=3,x=3[/tex] in (i), we get

[tex]3=k(3)^2[/tex]

[tex]3=k(9)[/tex]

[tex]\dfrac{3}{9}=k[/tex]

[tex]\dfrac{1}{3}=k[/tex]

Putting [tex]k=\dfrac{1}{3}[/tex] in (i), we get

[tex]g(x)=\dfrac{1}{3}x^2[/tex]

Therefore, the correct option is D.

Answer:

If AB and CD are perpendicular, (slope of AB) x (slope of CD) = -1

9/a = -1

a = -9

Answer:

-9

Step-by-step explanation:

flip and change the sign of [tex]\frac{3}{4}[/tex]

[tex]\frac{4}{-3}[/tex]

set equal to each other

[tex]\frac{4}{-3}[/tex] = [tex]\frac{12}{a}[/tex]

cross multiply

4a = -36

divide by 4

a = -9

Answer:

i) 2:1

ii) 1:3

iii) 5:4

Step-by-step explanation:

i) Male teachers : Female teachers

                      10 : 15-10

                      10 : 5

                       2 : 1

ii) Female teachers : Total teachers

                             5 : 15

                              1 : 3

iii) Do remember that two angles are called complementary if their measures add to 90 degrees.

Hence, ration of the pair of complementary angles = 50 : 90-50

                                                                                     = 50 : 40

                                                                                     = 5 : 4

Answer:

Step-by-step explanation:

Total number of teachers = 15

Given number of male teachers = 10

Therefore number of female teachers = 15 - 10 = 5

i)

Ratio of male and female teachers

                                           [tex]\frac{male}{female} = \frac{10}{5} = \frac{2}{1}\\\\Ratio = 2 : 1[/tex]

ii)

Ratio of female teachers and total number of teachers

                                             [tex]\frac{female}{total\ teachers} = \frac{5}{15} =\frac{1}{3} \\\\Ratio = 1 : 3[/tex]

iii)

If x and  y are complementary angles, then x+ y = 90°

Given : one angle, x  = 50°

Therefore, 50° + y = 90°

                        y = 90 - 50 = 40°

Ratio of the pair of complementary angles

[tex]\frac{x}{y} = \frac{50}{40} = \frac{5}{4} \\\\Ratio = 5 : 4[/tex]

Answer:

7

Step-by-step explanation:

answer is in photo above

Answer:

Step-by-step explanation:

1). 3x + 10

3(2) + 10

= 16

2). 14 - 2y

14 - 2(-3)

= 20

3). 7x - 5y

7(2) - 5(-3)

= 29

4). 5x + 7

5(2) + 7

= 17

5). 2x + 3y

2(2) + 3(-3)

= -5

6). 6y - 5x

6(-3) - 5(2)

= -28

Answer:

D. The mean will shift to the left.

Step-by-step explanation:

Given that the price range of the car is between $5000 and $45000 ;

Hence, if the demand for cars that cost less than $5000 is in high demand, such that about 200 cars was sold ; This will lead to a shift in the mean price of car, $5000 towards the $5000 value. Since $5000 is to the left, then the mean price will shift to the left of the distribution.

Answer:

Step-by-step explanation:

I'm going to use a Pythagorean identity to help make this make sense.

[tex]sin^2\theta+cos^2\theta=1[/tex]

We are given that cos(0) = 1, so

cos²θ = 1² which simplifies to

cos²θ = 1. So filling into our trig identity:

sin²θ + 1 = 1 and

sin²θ = 0 then

sinθ = √0 so

sinθ = 0

[tex]sin^{-1}\theta=0[/tex] so

sin(0) = 0

Answer:

A,785000

B,429900

A,6450

Answer:

1a- 784500 & 785499

b- 4528499 & 4527500

2a- 23749 & 23650

b- 429949 & 429850

3a- 6445 & 6454

b- 88885 & 88894

Answer:

The coordinate or the point N is (2,3)

Step-by-step explanation:

The formula for the midpoint of two points is;

(x,y) = (x1 + x2)/2 , (y1 + y2)/2

for AB

A(-1,3) and B (7,-3)

We have;

(x,y) = (-1 + 7)/2 , (3-3)/2 = (6/2, 0/2) = (3,0)

For CM;

C(1,6) and M(3,0)

(x,y) = ( 1 + 3)/2, (6+0)/2 = (4/2, 6/2) = (2,3)

Answer:

how can someone solve dis?

Step-by-step explanation:

Answer:

D :3a ^ 4 * sqrt(2a)

Step-by-step explanation:

Answer:

Evaluate the expression below when x = 4 and y = -2 *

hii your question is incomplete

can you please recheck once

there is no expression given

Answer:

5.8333-1.8333 I think

Step-by-step explanation:

hope it helps

Answer:

23

Step-by-step explanation:

BC is parallel to AtoF

BC = (1/2)AtoF

BC = (1/2)46

BC = 23

The length of side BC will be 23. Option C is corect.

A triangle is a three-sided polygon. It is one of the most fundamental geometric forms.

Answer:

Step-by-step explanation:

You have to use the discriminant for this. If the quadratic is [tex]-4x^2-3x+7[/tex], then

a = -4, b = -3, and c = 7. The formula for finding the discriminant is

[tex]D=b^2-4ac[/tex] which comes from the quadratic formula, but without the square root sign. Filling in:

[tex]D=(-3)^2-4(-4)(7)[/tex] which simplifies down to

D = 9 + 112 so

D = 121. This is a perfect square, so the solutions will be 2 real. Just so you know, you will NEVER have a solution like the one offered in the third choice down. If you have one imaginary root, you will ALWAYS have a second by the conjugate rule.

Answer:

3/4, 0.73, 1/4, 0.24

Step-by-step explanation:

1/4=25/100=0.25

3/4=75/100=0.75

Answer:

[tex] V = U + at[/tex]

Step-by-step explanation:

Given the following data;

Initial velocity = 0 (since the stone is starting from rest).

Final velocity = 32 m/s

Acceleration = g = 10 m/s²

Time = 3.2 seconds

To show that the speed of the stone when it hits the ground is 32 m/s, we would use the first equation of motion;

[tex] V = U + at[/tex]

Where;

Substituting into the formula, we have;

[tex] 32 = 0 + 10*3.2[/tex]

[tex] 32 = 0 + 32 [/tex]

[tex] 32 = 32 [/tex]

Proven: 32 m/s = 32 m/s

Answer:

i think its 48.66cm

Step-by-step explanation:

Answer:

[tex]2 \frac{2}{9} + 1 \frac{4}{9} \\ = \frac{20}{9} + \frac{13}{9} \\ = \frac{33}{9} \\ = 3 \frac{2}{3} \\ \\ { \underline{ \blue{ \tt{⚜becker \: jnr}}}}[/tex]

Answer:

if outcomes are equally likely then the probability of an event occurring is the number in event divided by the number in sample space

Step-by-step explanation:

113,1 cm^3

The volume of the sphere is V = 113.097 cm³

A sphere is symmetrical, round in shape. It is a three dimensional solid, that has all its surface points at equal distances from the center. It has surface area and volume based on its radius. It does not have any faces, corners or edges.

The Surface Area of a Sphere = 4πr²

The Volume of a Sphere = ( 4/3 ) πr³

where r is the radius of the sphere

Given data ,

Let the radius of the sphere be r = 3 cm

Let the volume of the sphere be V

The formula for the volume of a sphere is:

V = (4/3)πr³

where r is the radius of the sphere and π (pi) is a mathematical constant approximately equal to 3.14159.

Substituting r = 3 cm into the formula, we get:

V = (4/3)π(3 cm)³

V = (4/3)π(27 cm³)

V = (4/3)(3.14159)(27 cm³)

V = 113.097 cm³

Hence , the volume of the sphere is 113.097 cm³ when the radius is 3 cm.

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Answer:

B

Step-by-step explanation:

the answer is B

If you substitute 10 in the equation

32(9)+25=345

Answer:

B and D

Step-by-step explanation:

Substitute the values in y = 32x+ 25

A. 9, 326

326=32(9)+25

326 don't equal to 315

A is not

B. 10, 345

345=32(10)+25

345=345

B is a point on the line of best fit.

C. (7,224)

244= 32(7)+ 25

244 don't equal to 249

D. (6,217)

217= 32(6)+ 25

217=217

D is a point on the line of best fit.

Brainliest please

Answer:

i can try this!

Step-by-step explanation:

first thing to remember.....

the probability of anything can never be zero!

A - would definitely be very low ...probably less than 1% but not zero

b - would be almost 100%...not quite 100 as we dont know how deep is the water

c - around 50% over a given period

d - 25% over time

e - count the number of people in your class then divide by 100 this is your percentage chance

f - 50% over time

g - somewhere very close to zero ...but not quite zero

Answer:

[tex]x=-7, \\x=7[/tex]

Step-by-step explanation:

Given [tex]3x^2-7=140[/tex], our goal is to isolate [tex]x[/tex].

Start by adding 7 to both sides:

[tex]3x^2=147[/tex]

Divide both sides by 3:

[tex]x^2=49[/tex]

Take the square root of both sides:

[tex]x=\pm \sqrt{49}=\pm 7[/tex]

Recall that [tex]7^2=(-7)^2=49[/tex].

Thus, we have:

[tex]x=-7, \\x=7[/tex]

Step-by-step explanation:

Consider the expression below:

[tex] \frac{10 - \sqrt{18} }{ \sqrt{2} } [/tex]

Note that there is a radical in the denominator so we need to eliminate it by multiplying and dividing it with the same radical:

[tex] \frac{10 - \sqrt{18} }{ \sqrt{2} } \times \frac{ \sqrt{2} }{ \sqrt{2} } = \frac{10 \sqrt{2} \: - \: 6}{2} = - 3 + 5 \sqrt{2} [/tex]

By inspection, we can see that

a = -3 and b = 5

Answer:

[tex]a = - 3[/tex]

[tex]b = 5[/tex]

Step-by-step explanation:

Objective: Knowldge of Rationalizing Rational Functions.

Complete the LHS to find a and b.

Given

[tex] \frac{10 - \sqrt{18} }{ \sqrt{2} } = a + b \sqrt{2} [/tex]

Rationalize the LHS.

[tex] \frac{10 - \sqrt{18} }{ \sqrt{2} } \times { \frac{ \sqrt{2} }{ \sqrt{2} } } [/tex]

You'll get

[tex] = 5 \sqrt{2} - 3[/tex]

Flip is equation around.

[tex] - 3 + 5 \sqrt{2} [/tex]

This means that a equal -3 and b equal 5.

Answer:

3

Step-by-step explanation:

To find the median, first we have to put the data in ascending order:

1, 2, 3, 3, 5, 11, 12

The median is the middle number. In this case, that is 3.

The median of the data "The number of girls per classroom" which has values as 11, 3, 1, 12, 5, 3, 2 is 3.

To find the median of the given data, we first need to arrange the numbers in ascending order:

1, 2, 3, 3, 5, 11, 12

The median is the middle value when the data is arranged in ascending order. In this case, since the total number of data points is odd (7 data points), there is one middle value. The median is the fourth value in the ordered list, which is 3.

The median is a measure of central tendency that represents the middle value in a dataset. It is often used to describe the typical or central value of a set of data and is particularly useful when dealing with skewed distributions or outliers.

In this case, the median of 3 tells us that, when sorted in ascending order, the middle value of the number of girls per classroom is 3, which gives us an indication of the central tendency of the data.

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Because some of the athletes participated in more than one event.

Answer:

16 elements

0 elements

Step-by-step explanation:

U = { 1 , 2 , 3 , 4 , 5 , 6 , 7 , 8 , 9 , 10 , 11 , 12 , 13 , 14 , 15 , 16 , 17 }

Let sets A , B , and C be subsets of U , where:

A = { 2 , 3 , 5 , 6 , 7 }

B = { 1 , 3 , 9 , 10 , 11 , 14 }

C = { 5 , 9 , 12 , 13 , 15 }

(A U B U C) = elements in either A, or B or C

(A U B U C) = {1,2,3,5,6,7,9,10,11,12,13,14,15}

(A U B U C) n (A U B U C) = elements on both intersecting set ; this will contain the same set as (A U B U C) are the same.

Number of elements = 13

(A n B n C) = elements occurring in both A, B and C

(A n B n C) = {} = empty set

(A n B n C) n (A n B n C) = {} = 0

Answer:

1500 because if you mutiply by 35 u will get it

Step-by-step explanation:

Answer:

ratio of required answer

also given

5

now putting the value of × in another give

Required mum

7x+5x

12x

Step-by-step explanation:

HOPE IT'S HELP