Betty has some bottles.
4
7
of the bottles are big and
4
5
of the remaining bottles are small. The rest of the bottles are tiny.
What fraction of the bottles are tiny?

Answer:

the answer its 3 :)

Step-by-step explanation:

matematicas amigo

The actual roots of the function P(x) = x^4 - 4x^3 - 4x^2 + 36x - 45 are its real roots

The actual roots ordered from least to greatest are -3 and 3

From the complete question, the polynomial function is:

P(x) = x^4 - 4x^3 - 4x^2 + 36x - 45

Expand the above equation

P(x) = x^4 - 4x^3 + 5x^2 - 9x^2 + 36x - 45

Factorize the equation

P(x) = x^2(x^2 - 4x + 5) - 9(x^2 - 4x + 5)

Factor out x^2 - 4x + 5

P(x) = (x^2- 9)(x^2 - 4x + 5)

Express x^2 - 9 as a difference of two squares

P(x) = (x + 3)(x - 3)(x^2 - 4x + 5)

The expression (x^2 - 4x + 5) cannot be factorized.

So, we have:

P(x) = (x + 3)(x -3)

Equate to 0

(x + 3)(x -3) = 0

Expand

x + 3 = 0 or x - 3 = 0

Solve for x

x = -3 or x = 3

Hence, the actual roots ordered from least to greatest are -3 and 3

Read more about polynomial functions at:

https://brainly.com/question/2833285

Answer:

answer in picture

Step-by-step explanation:

Answer:

(10,  20)

(25,  12)

(15,  20)

Step-by-step explanation:

Hopes this helps! :)

Answer:

the correct answers are,

(15, 16)

(25, 12)

(5, 20)

24/8 = 3

the 24 to 8 gear = 3:1 ratio which is greater than 2:1

Answer: 3

Step-by-step explanation:

go in evenly

Answer:  cash, paychecks, checks

Step-by-step explanation:

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Answer:

Therefore, 0.00205 in scientific notation is 2.05 × 10-3 and It has 3 significant figures. In scientific e-notation it is written as 2.05e-3.

Step-by-step explanation:

Answer:

[tex]2.05 \times 10 ^{ - 3} [/tex]

Answer:

18 square yards

Step-by-step explanation:

because if you do 3x3 twice then add the two numbers you get you will get 18.

Answer:

Multiply each measure of ingredients by 3.5

Step-by-step explanation:

This recipe makes 10 flapjacks. We want to be able to make 35 flapjacks.

Divide 35 by 10 to find the ratio of these 2 numbers.

35 / 10 = 3.5

Now we can multiply the measures by this number to find out how much of each ingredient we need.

140 * 3.5 = 490

120 * 3.5 = 420

100 * 3.5 = 350

240 * 3.5 = 840

50 * 3.5 = 175

Answer:

Recipe: Makes 35 flapjacks

490 g Margarine

420 g sugar

350 ml syrup

840 g oats

200 g raisins

Answer:

-40-42i

Step-by-step explanation:

9-42i+49i^2=9-42i-49=-40-42i

Answer:

The answer would be 17

Step-by-step explanation:

Answer:

x = 17

Step-by-step explanation:

Pythagorean Theorem: a^2 + b^2 = c^2

15^2 + 8^2 = c^2 (15^2 = 225 and 8^2 = 64)

225 + 64 = 289

[tex]\sqrt{289}[/tex] = 17

Step-by-step explanation:

a) 7/10

b) 9/10

c) 4/10 = 2/5

d) 9/10

e) 2/10 = 1/5

I hope it helped you

Answer:

Step-by-step explanation:

Equation : 2 × (6 - h)

Because h = 5, replace the variable h with 5.

2 × (6 - 5)

Solve the equation in the parentheses.

6 - 5 = 1

The equation is now 2 × 1, which is equal to 2.

So, 2 × (6 - h) is 2.

Hope this helped !

Answer:

Cite evidence from the text to explain Her as role in Greek mythology

[tex]sin\left(\cfrac{\theta}{2}\right)=\pm \sqrt{\cfrac{1-cos(\theta)}{2}} \qquad cos\left(\cfrac{\theta}{2}\right)=\pm \sqrt{\cfrac{1+cos(\theta)}{2}} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ sin\left( \cfrac{30^o}{2} \right)\implies \sqrt{\cfrac{1-cos(30^o)}{2}}\implies \sqrt{\cfrac{1-\frac{\sqrt{3}}{2}}{2}}\implies \sqrt{\cfrac{~~\frac{2-\sqrt{3}}{2}~~}{2}}[/tex]

[tex]\sqrt{\cfrac{2-\sqrt{3}}{2}\cdot \cfrac{1}{2}}\implies \sqrt{\cfrac{2-\sqrt{3}}{4}}\implies \boxed{\cfrac{\sqrt{2-\sqrt{3}}}{2}} \\\\[-0.35em] ~\dotfill\\\\ cos\left( \cfrac{30^o}{2} \right)\implies \sqrt{\cfrac{1+cos(30^o)}{2}}\implies \sqrt{\cfrac{1+\frac{\sqrt{3}}{2}}{2}}\implies \sqrt{\cfrac{~~\frac{2+\sqrt{3}}{2}~~}{2}} \\\\\\ \sqrt{\cfrac{2+\sqrt{3}}{2}\cdot \cfrac{1}{2}}\implies \sqrt{\cfrac{2+\sqrt{3}}{4}}\implies \boxed{\cfrac{\sqrt{2+\sqrt{3}}}{2}} \\\\[-0.35em] ~\dotfill[/tex]

[tex]\cfrac{~~ sin\left( \frac{30^o}{2} \right)~~}{cos\left( \frac{30^o}{2} \right)}\implies \cfrac{~~\frac{\sqrt{2-\sqrt{3}}}{2} ~~}{\frac{\sqrt{2+\sqrt{3}}}{2}}\implies \cfrac{\sqrt{2-\sqrt{3}}}{2}\cdot \cfrac{2}{\sqrt{2+\sqrt{3}}} \\\\\\ \cfrac{\sqrt{2-\sqrt{3}}}{\sqrt{2+\sqrt{3}}}\implies \blacktriangleright \sqrt{\cfrac{2-\sqrt{3}}{2+\sqrt{3}}} \blacktriangleleft[/tex]

[tex]\large\pink{\mid{\underline{\overline{\tt { →\: (-5,1)}\mid}}}}[/tex]

[tex]\sf{\:мѕнαcкεя\: ♪...}[/tex]

Answer:

  35, 13, 1, -1, 7

Step-by-step explanation:

Repeated evaluation of the same function is accomplished easily by a calculator or spreadsheet. It is a good idea to become familiar with this technology.

__

If you're doing this by hand, writing the equation in Horner form can make it easier to evaluate.

  f(x) = (5x -7)x +1

Then ...

  f(-2) = (5(-2) -7)(-2) +1 = (-17)(-2) +1 = 34 +1 = 35

  f(-1) = (5(-1) -7)(-1) +1 = (-12)(-1) +1 = 12 +1 = 13

  f(0) = 1 . . . . the constant term

  f(1) = (5(1) -7)(1) +1 = (-2)(1) +1 = -2 +1 = -1

  f(2) = (5(2) -7)(2) +1 = (3)(2) +1 = 6 +1 = 7

In order, the f(x) values are 35, 13, 1, -1, 7.

Answer:

the 45 degree angle is in the first quadrant, the coordinates are (√2/2, √2/2) (square root of 2 on the top, 2 on the bottom)

Answer:

9

Step-by-step explanation:

3/2x6/2=18/2 Simply that and it turns to 9.

Answer:

9

Step-by-step explanation:

3*6*2 = 36

2*2 = 4

36/4 = 9

I multiplied the numerators together and the denominators together.

PLEASE RATE!! I hope this helps!!

Answer:

  A, D

Step-by-step explanation:

You want to know the bound for the values of Sn and Tn, given their definitions as ...

  [tex]\displaystyle S_n=\sum_{k=1}^n{\dfrac{n}{n^2+kn+k^2}}\\\\T_n=\sum_{k=1}^{n-1}{\dfrac{n}{n^2+kn+k^2}}[/tex]

All we need to do to determine the correct answer choices is evaluate the sums for some value of n.

For n=2, the value of S2 is ...

  S2 = 2/(4+2+1) +2/(4+4+4) = 2/7 +2/12 = 19/42 ≈ 0.4524

For n=2, the value of T2 is ...

  T2 = 2/(4+2+1) = 2/7 ≈ 0.2857 . . . . . 1/(3n) less than the value of Sn

Both of these values are less than π/(3√3) ≈ 0.6046.

The correct answer choices are ...

  A) Sn < π/(3√3)

  D) Tn < π/(3√3)

__

Additional comment

For the purpose here, it is not necessary to determine the limiting value of either Sn or Tn. It is only necessary to demonstrate which side of the given value the terms of either sequence lie.

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Answer:

x = 4/3

y = 0

z = 5/4

Step-by-step explanation:

PQ means multiplied matrices.

P+Q means added matrices.

PQ = =

4x+0 4y+0z 4x 4y

0x+5×0 0y+5z 0 5z

P+Q = =

4+x 0+y 4+x y

0+0 5+z 0 5+z

so, for PQ = P+Q we have

4x = 4+x

4y = y

5z = 5+z

4x = 4 + x

3x = 4

x = 4/3

4y = y

3y = 0

y = 0/3 = 0

5z = 5 + z

4z = 5

z = 5/4

Answer:

30

Step-by-step explanation:

There are a few different ways we can approach this problem.  

The easiest way is to flip the second fraction and multiply:

[tex]\dfrac{18}{5} \div \dfrac{3}{25}=\dfrac{18}{5} \times \dfrac{25}{3}=\dfrac{18 \times 25}{5 \times 3}[/tex]

To do this without a calculator, rewrite 18 as 6 x 3 and 25 as 5 x 5:

[tex]\dfrac{18 \times 25}{5 \times 3}=\dfrac{6 \times 3 \times 5 \times 5}{5 \times 3}[/tex]

Now we can cancel out the common factors of 5 and 3 from the numerator and denominator, and are left with:

[tex]\implies 6 \times 5 =30[/tex]

The quotient obtained from the division of given fractions is 30.

Given that, 18/5 divided by 3/25.

Dividing fractions is nothing but multiplying the fractions by reversing one of the two fraction numbers or by writing the reciprocal of one of the fractions. By reciprocal we mean, that if a fraction is given as a/b, then the reciprocal of it will b/a.

Here, 18/5 ÷ 3/25

= 18/5 × 25/3

= 6/1 × 5/1

= 30/1

Therefore, the quotient obtained from the division of given fractions is 30.

Learn more about the division of fractions here:

brainly.com/question/17205173.

#SPJ6

Answer:

Step-by-step explanation:

Answer:

<1 = 88° , <2 = 129°, <3 = 82°, <4 = 147°, <5 = 94°, <6 = 86°

Step-by-step explanation:

<1 + 92° = 180°

<1 = 88°

<2 + 51° = 180°

<2 = 129°

<3 + 98° = 180°

<3 = 82°

<4 + 33° = 180°

<4 = 147°

<1 + <2 + <3 + <4 + <5 = 540°

88° + 129° + 82° + 147 + <5 = 540°

<5 = 94°

<5 + <6 = 180°

94° + <6 =180°

<6 = 86°

Answer:

The discount given on the cost of the meal is $15

Step-by-step explanation:

How to calculate tax on a given price

According to the question, we are given the following information

The original cost of the meal = $75

Off coupon = 20%

Required

The number of coupons given

coupon amount = 0.2 * 75

coupon amount = $15

Hence the discount given on the cost of the meal is $15

Answer:

The probability scale for this question is not 100% sure to buy shoes so the scale is given to be even chance(1/2).

Step-by-step explanation: