12. Fancy goldfish x cost $3 each and
common goldfish y cost $1 each. Graph
the function y
20
3x to determine
how many
of each type of goldfish Tasha
can buy for $20.

[tex] {8x}^{3} + 1 \\ = {(2x)}^{3} + {(1)}^{3} \\ = (2x + 1)( {(2x)}^{2} - 2x \times 1 + {(1)}^{2}) \\ = (2x + 1)( {4x}^{2} - 2x + 1)[/tex]

Hope you could get an idea from here.

Doubt clarification - use comment section.

Answer:

Step-by-step explanation:

Y -.-

Answer:

Point Y is the answer to this

Answer:

3 units

Step-by-step explanation:

I hope it helps you!

If sec(A) = 4/3, then the value cot(A) is [tex]cot(A)=\frac{3\sqrt{7}}{7}[/tex]

The given trigonometric identity is:

[tex]sec(A)=\frac{4}{3}[/tex].........................(*)

Note that:

[tex]sec(A)=\frac{Hypotenuse}{Adjacent}[/tex].........................(**)

Comparing (*)  and (**)

Hypotenuse = 4

Adjacent = 3

Find the opposite using the Pythagoras theorem

Hypotenuse²  =  Opposite²  +  Adjacent²

4²   =  Opposite²  +  3²

Opposite² = 4²  -  3²

Opposite²  =  16 - 9

Opposite² = 7

Opposite = √7

cot(A) = Adjacent/Opposite

cot(A) = 3/√7

Rationalize the expression

[tex]cot(A)=\frac{3\sqrt{7}}{7}[/tex]

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Answer

1A=B 1B=tan 2=B 3=A

Step-by-step explanation:

Answer:

0.85

Step-by-step explanation:

HOPE THIS HELPS :)

Answer:

y = 3x + 18

Here's how I got that:

- You first assign the points -

     (-9, -9) → x1 = -9, y1 = -9

     (-6, 0) → x2 = -6, y2 = 0

- Now you plug those points into slope formula and solve-

                          [tex]s=\frac{y2-y1}{x2-x1}[/tex]

                                   ↓

                       (0 - (-9))/((-6) - (-9))

                                   ↓

                                  9/3

                                   ↓

                           slope = 3

- Now we plug the numbers we got into intercept formula -

                            b = y1 − s ⋅ x1

                                      ↓

                             -9 - (3) · (-9)

                                      ↓

                           y-intercept = 18

           - Put everything together and you get.. -

                                 y = 3x + 18

~That's all folks~

-Siascon

Answer:

y = 3x + 18

Step-by-step explanation:

Answer:

w is 22.5°

See solution in the photo

Answer:

22.5⁰

Step-by-step explanation:

<Q = <S = 5w⁰

<R + <S = 180 (Linear pair)

3w + 5w = 180

8w = 180

w = 180/8

w = 22.5⁰

Using conditional probability, it is found that there is a 0.1165 = 11.65% probability that a person with the flu is a person who received a flu shot.

Conditional Probability

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]

In which

In this problem:

The percentages associated with getting the flu are:

Hence:

[tex]P(A) = 0.2(0.3) + 0.65(0.7) = 0.515[/tex]

The probability of both having the flu and getting the shot is:

[tex]P(A \cap B) = 0.2(0.3) = 0.06[/tex]

Hence, the conditional probability is:

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.06}{0.515} = 0.1165[/tex]

0.1165 = 11.65% probability that a person with the flu is a person who received a flu shot.

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Answer:

flu shot

flu

no flu

.30

.20

Step-by-step explanation:

trust

Answer:

I don't know

Step-by-step explanation:

Gloria will knit 1 scarf in 3 hours.

Multiplication is a mathematical arithmetic operation. It is also a process of adding the same types of expression for some number of times.

Example - 2 × 3 means 2 is added three times, or 3 is added 2 times.

Given:

Gloria likes to knit scarves to give as gifts to her friends and family.

She can knit 1 over 4 of a scarf in 3 over 4 of an hour.

Simplifying,

She can knit 1/4 of a scarf in 3/4 of an hour.

To find the time:

1/4 of a scarf in 3/4 of an hour.

Multiply by 4,

4 x 1/4 of a scarf in 4 x 3/4 of an hour.

1 scarf in 3 hours.

Therefore, she will take 3 hours to knit 1 scarf.

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Answer:

-45xj-9xk

Step-by-step explanation:

-9x(5j+k)

Multiply -9x with 5j

Multiply -9x with k

-9x times 5j is -45xj

-9x times k is -9xk

So the equivalent expression is

-45xj-9xk

Hope this helps!

Answer:

− 3 ( x − 5 ) ( x + 2 ) hope this helps

Step-by-step explanation:

Answer:

− 3 ( x − 5 ) ( x + 2

Step-by-step explanation:

Answer:

[tex]\huge\color{purple}\boxed{\colorbox{black}{Answer♡}}[/tex]

[tex] \frac{2}{ \sqrt{7} - 1} \\ = > \frac{2}{ \sqrt{7} - 1} \times \frac{ \sqrt{7} + 1}{ \sqrt{7} + 1} \\ = > \frac{2( \sqrt{7} + 1)}{ \sqrt{7} {}^{2} - 1 {}^{2} } \\ = > \frac{2 \sqrt{7} + 2}{7 - 1} \\ = > \frac{2( \sqrt{7} + 1)}{6} \\ = > \frac{ \sqrt{7} + 1}{3} [/tex]

[tex]\color{red}\boxed{\colorbox{skyblue}{Additional Information~}}[/tex]

( a + b ) × ( a - b ) = a² - b²

we earlier had 2 multiplied to rest of the numerator and 6 in the denominator..

we simply divided both the numerator as well as denominator by 2 and hence got the result obtained.

‎ ‎

‎ ‎

‎ ‎

hope helpful~

Answer:

6432)10 = (1100100100000)2

Step-by-step explanation:

Step 1: Divide (6432)10 successively by 2 until the quotient is 0:

6432/2 = 3216, remainder is 0

3216/2 = 1608, remainder is 0

1608/2 = 804, remainder is 0

804/2 = 402, remainder is 0

402/2 = 201, remainder is 0

201/2 = 100, remainder is 1

100/2 = 50, remainder is 0

50/2 = 25, remainder is 0

25/2 = 12, remainder is 1

12/2 = 6, remainder is 0

6/2 = 3, remainder is 0

3/2 = 1, remainder is 1

1/2 = 0, remainder is 1

Step 2: Read from the bottom (MSB) to top (LSB) as 1100100100000. This is the binary equivalent of decimal number 6432 (Answer).

Hopes that it will help u...☺

[tex]\huge \bf༆ Answer ༄[/tex]

The method to convert the number from Decimal to binary number system is simple ~

Now let's solve the given question ~

Now, write the numbers from bottom to top ~

[tex] \sf{1100100100000}[/tex]

I hope it helps ~

Answer:

y = 1/3x

Step-by-step explanation:

Alright, so we have an equation with two variables (y and x) and I need to solve for y in terms of x. That is, I need to isolate y one one side with all the other terms on the other side.

First, let's distribute the 1/3 on the right side of the equation onto the x and 6 inside the parentheses.

y + 2 = 1/3(x + 6)

y + 2 = 1/3(x) + 1/3(6)

y + 2 = 1/3x + 2

Now, let's isolate y on the left side by removing 2 from both sides.

y + 2 = 1/3x + 2

y + 2 - 2 = 1/3x + 2 - 2

y = 1/3x

So, y is equal to 1/3x. Hopefully that's helpful! :)

Answer:

a, h and k have values 1, -5 and -10 respectively

Answer:

C) -5

Step-by-step explanation:

-5 is an integer but not a whole number or a natural number.

If 310 is 30% of some number x, then

0.30x = 310

⇒   x = 310/0.30

⇒   x = 310/(3/10)

⇒   x = 310 × 10/3

⇒   x = 3100/3 ≈ 1033.33

Answer:

8×10^5

Step-by-step explanation:

Perimeter= 2( length + width)

= 2(34.5 × 10⁴ + 5.5 × 10⁴)

= 2(40 × 10⁴)

= 80 × 10⁴

= 8 × 10^5 feet

The value of k to the nearest integer is 21

If the number of international tourist arrivals in Russia in 2012 was 13.5% greater than in 2011 will be expressed as:

k = 24.7 - (13% of 24.7)

k = 24.7 - (0.135 * 24.7)

k = 24.7 - 3.3345

k = 21.3655

Hence the value of k to the nearest integer is 21

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Answer:

1 and 3/4

Step-by-step explanation:

7×1/4 (the / symbolizes ÷)

(7×1) ÷4

7/4 ( divide by 4)

=1 and 3/4

Using it's concept, it is found that the probabilities are given as follows:

A probability is given by the number of desired outcomes divided by the number of total outcomes.

In this problem, there is a total of 400 moviegoers.

From the table, 74 are adults who prefer comedies, hence:

P(C ∩ D) = 74/400 = 0.185.

2 + 48 + 19 + 74 = 143 are adults, while 24 + 64 = 88 are not adults but prefer comedies, hence the "or probability" is given by:

P(C ∪ D) = (143 + 88)/400 = 0.5775.

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Answer:

0.3575

0.405

Step-by-step explanation:

The system of equations that can be used to determine the number of nickels and dimes is:

x + y = 468

0.05x + 0.01y = 34.40

Where:

x = number of nickels

y = number of dimes

The equation that can be used to determine the number of nickels and dimes are known as simultaneous equations. Both equations have to be solved together in order to determine the required values.

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Answer:

Question 10.

Length of the side of the square = [tex]\sqrt{441} = 21[/tex]

By Pythagoras' Theorem,

Hypotenuse = [tex]\sqrt{21^{2} + 20^{2} }[/tex] (H > 0)

                     = 29 m

Ans: 29 m

Question 11.

By Pythagoras' Theorem,

Length of longer side of 42 km = 42- [tex]\sqrt{18^{2} - 15^{2} }[/tex] (L > 0)

                                                                     = 32.050 km (5 s.f.)

By Pythagoras' Theorem,

Length of the unknown side = [tex]\sqrt{32.050^{2} + 15^{2} }[/tex] (L > 0)

                                               = 35.4 km (3 s.f.)

Ans: 35 km

Answer:

a) 335

b) 344

Step-by-step explanation:

Answer:

130⁰

Step-by-step explanation:

Let,

<Q = x

<R = y

So,

In ∆PQR

2x + 2y + 80 = 180(Sum of all angle in a triangle is 180⁰)

2(x + y) = 180 - 80

2(x + y) = 100

x + y = 100/2

x + y = 50

Now,

In ∆QOR

x + y + QOR = 180(Sum of all angle in a triangle is 180⁰)

50 + QOR = 180

QOR = 180 - 50

QOR = 130⁰

Answer:

Step 1: Given

Step 2: Add 6 on both sides

Step 3: Multiply 7 on both sides

Step 4: Divide by 4 on both sides

The value of x for the given linear equation is -24.5.

The linear equations in one variable is an equation which is expressed in the form of ax + b = 0, where a and b are two integers, and x is a variable and has only one solution.

According to the given question

We have, a linear equation in one variable

[tex]\frac{4x}{7} -6=-20[/tex]

We solve the above equation in following steps

Step I : Adding 6 both the sides

[tex]\frac{4x}{7} = -20 + 6[/tex]  

⇒[tex]\frac{4x}{7} = -14[/tex]

Step II:  Multiply 7 both the sides

⇒ [tex]4x = -14[/tex] ×[tex]7[/tex]

⇒ [tex]4x = -98[/tex]

Step III: Dividing both the sides by 4

⇒ [tex]\frac{4x}{4} = -\frac{98}{4}[/tex]

⇒ [tex]x = -24.5[/tex]

Therefore, the value of x for the given linear equation is -24.5

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