Helena has five different flowers. She plans to give one flower to each of her five teachers in any order. She gives the first flower to one of her teachers in the morning.

In how many different ways can she give the four remaining flowers to the rest of the teachers in the afternoon?

1 combination
4 combinations
21 combinations
24 combinations

Answer:

9

Step-by-step explanation:

Draw a Venn diagram.

+------------------------------------------------------------+

|    N                                                                 |

|           +--------------+   +-----------+                    |

|        /     P             /\          S      \                  |

|      /                     /  B \                 \                |

|      \                     \      /                 /                 |

|         \                   \ /                  /                 |

|           +------------+     +------------+                   |

|                                                                        |

+------------------------------------------------------------+

The Venn diagram is set up as above. The two circles insiode the rectangle look like two hexagons and they overlap.

The overlap is labele B, for people who both play and sing. The left circle is P for people who play, and the right circle is S for people who sing.

Now we begin to fill it in.

5 people both play and sing, so we place a 5 in the overlap section.

+------------------------------------------------------------+

|    N                                                                 |

|           +--------------+   +-----------+                    |

|        /     P             /\          S      \                  |

|      /                     /  B \                 \                |

|      \                     \  5  /                 /                 |

|         \                   \ /                  /                 |

|           +------------+     +------------+                   |

|                                                                        |

+------------------------------------------------------------+

20 people sing. Subtract the 5 who both sing and play, and you have 15 who can only sing.

12 people play. Subtract the 5 who both sing and play, and you have 7 who only sing.

Place the numbers 15 and 7 in the correct places.

+------------------------------------------------------------+

|    N                                                                 |

|           +--------------+   +-----------+                    |

|        /     P             /\          S      \                  |

|      /                     /  B \                 \                |

|      \       7           \  5  /       15     /                |

|         \                   \ /                  /                 |

|           +------------+     +------------+                   |

|                                                                        |

+------------------------------------------------------------+

Now add all the people already placed.

15 + 5 + 7 = 27

Subtract that number form the total.

36 - 27 = 9

Place the 9 in the correct area.

+------------------------------------------------------------+

|    N                     9                                          |

|           +--------------+   +-----------+                    |

|        /     P             /\          S      \                   |

|      /                     /  B \                 \                |

|      \       7           \  5  /       15     /                |

|         \                   \ /                  /                 |

|           +------------+     +------------+                   |

|                                                                        |

+------------------------------------------------------------+

Answer: 9

A more normal looking Venn diagram looks like this:

Answer:

128 cm²

Step-by-step explanation:

Given linear scale factor of 2 similar shapes = a : b , then

ratio of areas = a² : b²

Here linear scale factor = 3 : 4 , then

ratio of areas = 3² : 4² = 9 : 16

let x be the area of the larger shape then by proportion

[tex]\frac{9}{72}[/tex] = [tex]\frac{16}{x}[/tex] ( cross- multiply )

9x = 1152 ( divide both sides by 9 )

x = 128

That is area of larger shape is 128 cm²

Answer:

speed = 32km/hr

Step-by-step explanation:

Time

10:15 to 10:30 = 1/4 hr

speed = distance/time

speed = 8 / (1/4)

speed = 32km/hr

Answer:

-48[tex]r^{2}[/tex] - 10r + 3

Step-by-step explanation:

FOIL method

First : (6r) · (- 8r) = - 48[tex]r^{2}[/tex]

Outer : (6r) · (-3) = -18r

Inner : (-1) · (-8r) = 8r

Last : (-1) · (-3) = +3

combine like terms

Answer:

Z = {-1, 0, 1}

"The set Z is the set of integer numbers that are larger than -2 and smaller than 2."

Step-by-step explanation:

I guess that here we have:

Z = {x : x ∈ integers /  -2 < x < 2}

From this we know that:

Z contains only integer numbers.

Z contains only integer numbers that are larger than -2, and smaller than 2

Let's find these integers:

-1 is larger than -2 and smaller than 2

0 is larger than -2 and smaller than 2

1 is larger than -2 and smaller than 2

So our set is:

Z = {-1, 0, 1}

And in description method (just using words)

"The set Z is the set of integer numbers that are larger than -2 and smaller than 2."

Answers:

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

Explanation:

Any exponential function is of the form y = a*b^x

Comparing that to y = 475*(0.5)^x, we see that a = 475 and b = 0.5

Set b equal to 1+r and solve for r

1+r = 0.5

r = 0.5-1

r = -0.5

The negative r value tells us that the growth rate is -50%, in other words, we have a 50% decay rate. The amount drops by 50% each time x goes up by 1. This is the same as saying the amount cuts in half each time x goes up by 1.

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

Lastly, plug in x = 3 to find f(3)

f(x) = 475(0.5)^x

f(3) = 475(0.5)^3

f(3) = 59.375

f(3) = 59.4

Answer:

option B , C , D

Step-by-step explanation:

Enlargemet is a rule which transfers an object into an object of the same form by enlarging its size in a given ration.

Remember

If k > 1 , the given object is enlarged. Since the scale fator (k) is 2 and it is greater than 1 the size of the figure enlarges . So according to this definition option B , c and d are incorrect.

only option A satisfies . So out of all these statements only option A is true.

formula :

(x , y) = (kx , ky)   ( k means scale factor)

here scale factor is multiplied to the coordinate x and y.

since the scale factor is 2 it means that the length or the value of both x and y coordinate is multiplied by 2.So, it is true . And rest are not true.

Answer:

maybe like 12

Step-by-step explanation:

I would think 12 because because it is 2 of the square so I think 6 + 6 correct me of I'm wrong.

Answer:

The circumference of the back wheel is 2.62 inches

Step-by-step explanation:

Given

[tex]d_1 = 5in[/tex] --- diameter of front wheel

[tex]d_1 : d_2 = 3:1[/tex] --- ratio of the diameters

Required

The circumference of the back wheel

First, we calculate the diameter of the back wheel.

We have:

[tex]d_1 : d_2 = 3:1[/tex]

Substitute: [tex]d_1 = 5in[/tex]

[tex]5in: d_2 = 3 : 1[/tex]

Express as fraction

[tex]\frac{d_2}{5in} = \frac{1}{3}[/tex]

Make [tex]d_2[/tex] the subject

[tex]d_2 =5in * \frac{1}{3}[/tex]

[tex]d_2 = \frac{5}{3}\ in[/tex]

So, the circumference (C) of the back wheel is:

[tex]C =\pi d[/tex]

[tex]C = 3.14 * \frac{5}{6}\ in[/tex]

[tex]C = \frac{3.14 * 5}{6}\ in[/tex]

[tex]C = \frac{15.7}{6}\ in[/tex]

[tex]C = 2.62\ in[/tex]

Function is a set of ordered pairs where there cannot be same x-values or repetitive domain in a set.

For example below below:

The following relation is a function since there are no same x-values in a set.

The following relation is not a function since there are same two x-values which is D = {1} or (1,1) and (1,2) both have same domain. Thus, not making the relation a function.

From the question, the relation is a function because in a set of ordered pairs, there aren't any same x-values.

Answer

Answer:

36˚

6 cm

tangent

8.3 cm

10.2 cm

Step-by-step explanation:

The side lengths of the regular pentagons are congruent

A pentagon has 5 sides, and the central angle is 360°.

Calculate the measure of ABD using:

ABD = 360°/5

ABD = 72

The measure of CBD is half the measure of ABD.

So, we have:

CBD = 0.5 * 72

CBD = 36

Hence, the measure of CBD is 36 degrees

A pentagon has 5 sides, and the given perimeter is 60 cm

Calculate the length of AD using:

AD = 60cm/5

AD = 12

The length of CD is half the length of ABD.

So, we have:

CD = 0.5 * 12

CD = 2

Hence, the length of CD is 6 cm

cm

Using the angle CBD, the trigonometric ratio can be used to compare BC to CD is the tangent ratio

We have:

tan(CBD) = CD/BC

Make BC the subject

BC = CD/tan(CBD)

Substitute known values

BC = 6/tan(36)

Evaluate

BC = 8.3 cm

Hence, the approximate length of BC is 8.3 cm

By Pythagoras theorem, we have:

BD^2 = BC^2 + CD^2

This gives

BD^2 = 8.3^2 + 6^2

Take the square root of both sides

BD = 10.2 cm

Hence, the approximate length of BD is 10.2 cm

Read more about regular pentagons at:

https://brainly.com/question/14961220

Answer:

d

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

The shape starts with 2 dots, then to 3 dots, and then to 4 dots. This means that the next step must have 5 dots, which option D has.

Answer:

ok for this what we need to do is just do the equation

y=2x+3

with the x inserted

y=2*-2+3

y=-1

y=2*0+3

y=3

y=2*1+3

y=5

y=2*3+3

y=9

this is the answer from left to right

y=-1,y=3,y=5,y=9

Answer:

BC = 50

Step-by-step explanation:

BC = AD in a parallelogram

4x-10 = 3x+5

Subtract 3x from each side

4x-3x-10 = 3x-3x+5

x-10 = 5

Add 10 to each side

x-10+10 = 5+10

x = 15

BC = 4x-10 = 4*15-10 = 60-10 = 50

Answer:

BC = 50

Step-by-step explanation:

BC = AD

4x - 10 = 3x + 5

4x - 3x = 5 + 10

x = 15

for BC

4x - 10

4*15 - 10

60 - 10

50

Step-by-step explanation:

Objective: Circle Theorems

The arcs add up to 360 and they are in proportion so

[tex]3x + 3x + 4x + 5x = 360[/tex]

[tex]15x = 360[/tex]

[tex]x = 24[/tex]

So this means that Arc AB and BC measure is 72 each. Arc CD measure is 96 and Arc DA measures is 120.

Angle 1 measure is a inscribed angle of Arc CD.

So it measures

[tex] \frac{96}{2} = 48[/tex]

Angle 2 is a inscribed angle of Arc AB so it measures

[tex] \frac{72}{2} = 36[/tex]

Angle 3 is a inscribed angle of Arc DA.

[tex] \frac{120}{2} = 60[/tex]

Angle 4 is a inscribed angle of Arc BC so it measures

[tex] \frac{72}{2} = 36[/tex]

Angle 5 is formed by tangent line ED. Since D lies on the circumference, it also is tangent to point e so it also measures 90 degrees.

Angle 4 measures 32 so Angle 5 is it complement to Angle 4.

[tex]32 + x = 90[/tex]

[tex]x = 58[/tex]

Angle 6 is formed by two intersecting chrods

so it measures

[tex] \frac{1}{2} (120+ 72) = 96[/tex]

Answer:

Putting things in the right place

Reading the question

Using the correct symbol

Step-by-step explanation:

Putting things in the right place is very important

Example: 2+2=4

If I accidently did 2+4=2 then the answer would be incorrect.

Reading the question

You could read a question wrong in an exam so you may answer incorrectly, so if you finished the exam then always check your answers

Using the correct symbol is important because you could know the answer but write the wrong symbol and not get the mark

I hoped this helped!

Answer:

(3x + 4)(x - 1)

Step-by-step explanation:

3x^2 + x - 4

use middle term break method

we need two number which gives 12 when multiplied and 1 when subtracted

3x^2 + (4 - 3)x - 4

3x^2 + 4x - 3x - 4

x(3x + 4) -1(3x + 4)

(3x + 4)(x - 1)

Answer:

(x - 1)(3x + 4)

Step-by-step explanation:

Given

3x² + x - 4

Consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term.

product = 3 × - 4 = -12 and sum = + 1

The factors are - 3 and + 4

Use these factors to split the x- term

3x² - 3x + 4x - 4 ( factor the first/second and third/fourth terms )

= 3x(x - 1) + 4(x - 1) ← factor out (x - 1) from each term

= (x - 1)(3x + 4) ← in factored form

Answer:

4 + 6 = 10 * 4 =40

Step-by-step explanation:

sana makatulong

His child is 10 years old.

In mathematics, an expression that incorporates variables, constants, and algebraic operations is known as an algebraic expression (addition, subtraction, etc.). Terms comprise expressions.

Given

Assume now his child's age is x

4x-4  = 6(x-4)

4x-4 = 6x - 24

-4+24 = 6x-4x

20 = 2x

x=10

His child is 10 years old.

To learn more about algebraic expressions refer to:

https://brainly.com/question/19864285

#SPJ2

Answer:

2479.95

Step-by-step explanation:

i worked out that guys problem who wouldnt work it out for you.

Answer:

I=70*.03*2.5

I=70*.075

I=$5.25 is the interest.

Step-by-step explanation:

Answer:

no lo sé perdón buen día puto hgfhkghhhddj

Step-by-step explanation:

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Answer:

Step-by-step explanation:

Answer:

22 yards

Step-by-step explanation:

P = 5+2+3+4+2+6

P = 22

Answer:

x=67

Step-by-step explanation:

180-157 = 23

180-90-23 = 67

x = 67

Answer:

Recall ...

Angles on a straight Line Total to 180°

So

The angle at the Tip of the triangle = 180-157

=23°.

Now 23 is a part of the triangle...

Recall also..

Total angles in a triangle also Total to 180°.

Now that's a Right angled Triangle...

There's the 90° Angle present

So Total angle =

90° + x° + 23° =180

x=180° – (23+90)

x=67°.

Answer:

A is correct because there are only 2 sides to flip to, giving it a probability of 0.50, or 1/2 that they will lands heads up.

Answer:

I would go with D

Step-by-step explanation:

Because there are 4 possibilities.

1) they both land heads up

2) they both land tails up

3) one lands heads up and the other tails up

4) one lands tails up and the other heads up

Hope this helps!

Answer:

Assuming this is the book one the answer is rectangular prism.

Answer:

[tex]6x^2+11x+3[/tex]

Step-by-step explanation:

Area of a rectangle = length x width

[tex](2x+3)(3x+1) = ?[/tex]

[tex]6x^2+2x+9x+3[/tex]