Which function(s) are linear? Select all that apply.
(please select one or more answers)
y = 6x^2+7
y =-1
y = 3/5x+1
y= 7.5x – 7

The ratio of the number of bottles of coke sfiso buys to cupcakes is 3 :5.

Ratio expresses the relationship between two or more numbers. It shows the number of times that one value is contained within another value. The sign used to represent ratios are :.

Ratio of coke bottles to cupcakes = 36 : 60

= 3 : 5

To learn more about ratios, please check: https://brainly.com/question/25927869

Answer:

The radical that is equal to ∛54 is 3∛2.

Step-by-step explanation:

Given

∛54

We need to find the radical that is similar to ∛54, we need to break down the radicand 54, into smaller numbers, therefore, take the LCM of the number,

54 = 2 x 3 x 3 x 3

As we are taking the cube root, therefore, we need numbers that are repeating thrice.

Thus, the radical can be written as,

[tex]\sqrt[3]{54} =\sqrt[3]{2x 3x 3x 3} \\\\\sqrt[3]{54} =3\sqrt[3]{2}[/tex]

Hence, the radical that is equal to ∛54 is 3∛2

Answer:

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

Step-by-step explanation:

Original expression:

[tex]\implies \sqrt[3]{54}[/tex]

Factorize 54 using prime factorization:

[tex]\implies \sqrt[3]{2 \cdot 3^3}[/tex]

Apply radical rule: [tex]\sqrt[n]{ab} =\sqrt[n]{a} \cdot \sqrt[n]{b}[/tex]

[tex]\implies \sqrt[3]{2} \cdot \sqrt[3]{3^3}[/tex]

Apply radical rule: [tex]\sqrt[n]{a^n} =a[/tex]

[tex]\implies \sqrt[3]{2} \cdot 3[/tex]

[tex]\implies 3\sqrt[3]{2}[/tex]

The fact family like equations are 2 × 9 = 18 and 18 ÷ 9 = 2.

A fact family is a group of math equations that shows the relationship between the numbers involved. There are addition and subtraction fact family as well as division and multiplication fact family.

Hence:

2 × 9 = 18 and 18 ÷ 9 = 2 shows a fact family.

Find out more on fact family at: https://brainly.com/question/1250189

Step-by-step explanation:

Using that fact that,

[tex] \cos(u) = \frac{x}{r} [/tex]

and

[tex] {r}^{2} = {x}^{2} + {y}^{2} [/tex]

We need to find sin which that formua is

[tex] \sin(u) = \frac{y}{r} [/tex]

We know what r and x is so we need to find y.

[tex] {8}^{2} = { - 3}^{2} + {y}^{2} [/tex]

[tex]64 = 9 + {y}^{2} [/tex]

[tex]55 = {y}^{2} [/tex]

[tex] \sqrt{55} = y[/tex]

Sin is positve on the interval pi/2 to pi. so we get

[tex] \sin(u) = \frac{ \sqrt{55} }{8} [/tex]

b.

[tex] \tan(u) = \frac{y}{x} [/tex]

so

[tex] \tan(u) = - \frac{ \sqrt{55} }{3} [/tex]

c.

[tex] \sec(u) = \frac{r}{ x} [/tex]

[tex] \sec(u) = - \frac{8}{3} [/tex]

d.

[tex] \sin(2u) = 2 \sin(u) \cos(u) [/tex]

[tex]2 ( \frac{ \sqrt{55} }{8} )( - \frac{3}{8} ) = \frac{ - 6 \sqrt{55} }{64} = \frac{ - 3 \sqrt{55} }{32} [/tex]

e.

[tex] \cos {}^{} (2u) = \cos {}^{2} (u) - \sin {}^{2} (u) [/tex]

[tex]( \frac{ - 3}{8} ) {}^{2} - ( \frac{ \sqrt{55} }{8} ) {}^{2} = \frac{ - 46}{64} = - \frac{23}{32} [/tex]

Answer:

The answer is 234

Step-by-step explanation:

Hope it helps

Answer:

Please read below.

Step-by-step explanation:

P(event)= favorable outcomes / total outcomes

0.84 * 100 = 84

100 - 84 = 16

84 favorable outcomes

16 unfavorable outcomes

100 total outcomes

Therefore there is a 84% chance of it happening.

Therefore there is a 16% chance of it not happening.

P(event) = 84/100

8.4 out of 10

Describe it how ever you want. 8.4 out of 10 is a pretty good bet to me. I would put my money on it. There isn't a lot of context to the question. But, I hope this helps!

It means 840 times out of 1000 times, an event is likely to happen or in other words, there is an 84% chance of happening an event.

Probability is to measure the occurrence of an event.

It is given that

probability of an event = 84% or 0.84

This means, P(E) = 0.84

Number of favorable outcomes/ Total outcomes =84

Let us say Total outcomes are 1000

So favorable outcomes = 1000*0.84

Favorable outcomes = 840

Therefore, It means 840 times out of 1000 times, an event is likely to happen or in other words, there is an 84% chance of happening an event.

To get more about probability visit:

https://brainly.com/question/24756209

Answer:

25%

Step-by-step explanation:

25% of the dolls are made with curly hair.

Answer:

4%

Step-by-step explanation:

12 / 3= 4

Answer:

Its solving equations with variable on both sides

Step-by-step explanation:

Example: 8a = 3a+25

You have to make a variable on the both side

So.....

8a-3a = 3a+25-3a

And then solve it. So the last thing you will have is

5a = 25

If you want to the simplest form...divide 25 with 5

a = 25/5

a = 5

Hope this help you.

Step-by-step explanation:

74-25 is not equal to 59 the correct answer is 74-25=49

Answer:

I think it is 7.3.  Cos35=6/MN.

Step-by-step explanation:

Cosine of 35 degrees= adjacent side /hypotenuse.

Given :

[tex]{\qquad \sf \dashrightarrow y= 4x + 1 \: –––– \sf \: (i)}[/tex]

[tex]{\qquad \sf \dashrightarrow 3x + 2y = 13 \: –––– \sf \: (ii)}[/tex]

Now, Substituing the value of y in equation (ii) :

[tex]{\qquad \sf \dashrightarrow \: 3x + 2y = 13 }[/tex]

[tex]{\qquad \sf \dashrightarrow \: 3x + 2(4x + 1) = 13 }[/tex]

[tex]{\qquad \sf \dashrightarrow \: 3x + 8x + 2 = 13 }[/tex]

[tex]{\qquad \sf \dashrightarrow \: 11x + 2 = 13 }[/tex]

[tex]{\qquad \sf \dashrightarrow \: 11x = 13 - 2 }[/tex]

[tex]{\qquad \sf \dashrightarrow \: 11x = 11 }[/tex]

[tex]{\qquad \sf \dashrightarrow \: x = \dfrac{11}{11} }[/tex]

[tex]{\qquad \sf \dashrightarrow \bf \: x = 1 }[/tex]

Now, substituting the value of x in equation (i) :

[tex]{\qquad \sf \dashrightarrow y= 4x + 1}[/tex]

[tex]{\qquad \sf \dashrightarrow y= 4(1) + 1}[/tex]

[tex]{\qquad \sf \dashrightarrow y= 4 + 1}[/tex]

[tex]{\qquad \bf \dashrightarrow y= 5}[/tex]

Answer:

C. 27

Step-by-step explanation:

Arc length = fraction of the circle * circumference

Arc length = fraction of the circle * 2 * pi *r

3/4 pi  = fraction of the circle * 2 * pi *5

3/4 pi  = fraction of the circle *10 pi

Divide each side by 10pi

3/4 pi

-------- = fraction of a circle

10 pi

3/40 = fraction of a circle

A circle is 360 degrees

3/40 = x/360

Multiply by 360

3/40 *360 = x

27 = x

Answer:

[tex]u\cdot v=32[/tex]

Step-by-step explanation:

Assuming [tex]u[/tex] and [tex]v[/tex] are vectors, their dot product is [tex]u\cdot v[/tex] where [tex]u_1v_1 + u_2v_2[/tex]:

[tex]u\cdot v=u_1v_1+u_2v_2=(2)(8)+(-8)(-2)=16+16=32[/tex]

Therefore, [tex]u\cdot v=32[/tex]

Answer:

3 packs of sodas would need to be bought.

Step-by-step explanation:

6  x 2 = 12 which isn't enough

6 x 3 = 18 which is more than enough

Answer: 120

Step-by-step explanation: 10 [tex]10\int\limits^a_b {x} \, dx 3[/tex]

Answer:

m∠R = 60°

explanation:

Let the angle be x,

x + x + 60° = 180°

2x = 180° - 60°

2x = 120°

x = 60°

Answer:

Step-by-step explanation:

Sum of interior angles in a triangle = 180degree

PQ=QR so triangle PQR is an isosceles triangle

The two base angles of an isosceles triangle are equal

So <R = <P

m<R + m<P + 60degree = 180degree

m<R = (180-60)/2 = 60degree

Answer:

[tex]2(3) {}^{x} [/tex]

Step-by-step explanation:

[tex]y = ab {}^{x} [/tex]

We know that when x=1, y=6

[tex]6 = a {b}^{1} [/tex]

x=2, y=18

[tex]18 = a {b}^{2} [/tex]

Notice that if we divide

[tex] \frac{ {ab}^{2} }{ab} = b[/tex]

So if we divide 18 and 6, that will give us our common ratio.

[tex] \frac{18}{6} = 3[/tex]

So our common ratio is 3.

So know we have

[tex]a(3) {}^{x} [/tex]

Plug in one of the points to find a.

[tex]6 = a(3)[/tex]

[tex]a = 2[/tex]

So the equation. we have

[tex]2 \times ({3}^{x} )[/tex]

Answer:

The answer is 4.94, rounded.

Step-by-step explanation:

The pythagorean theorem is : a^2+b^2=c^2

Inserting our numbers:

3.4^2+b^2=6^2

We can find 'B' by finding the other two numbers and subtracting 'A', from 'C'.

3.4*3.4= 11.56

6*6= 36

36-11.56= 24.44

Then, find the root of the difference

√24.44

4.94368283772...

Then round, and you have your answer!

4.94

Move everything to one side and factorize by grouping.

x⁴ - 4 = x³ + 2x

x⁴ - x³ - 2x - 4 = 0

(x⁴ - 4) - (x³ + 2x) = 0

(x² - 2) (x² + 2) - x (x² + 2) = 0

(x² - x - 2) (x² + 2) = 0

(x - 2) (x + 1) (x² + 2) = 0

Then

x - 2 = 0   or   x + 1 = 0   or   x² + 2 = 0

x = 2   or   x = -1   or   x² = -2

If x is real, then the third case has no solution. Then x = 2 or x = -1. Otherwise, we can solve over the complexes and include x = ± √2 i where i = √(-1).

Based on the inflation rate in the United States in 1949, the cost of the car at the end of the year would be $1,470.

The cost can be found by the formula:

= Cost x (1 + inflation rate)

The inflation rate is negative so solving gives:

= 1,500 x (1 - 2%)

= $1,470

Find out more on inflation at https://brainly.com/question/777738.

Answer:

Step-by-step explanation:

4x + y = - 1 -------------(I)

-5x - 2y = -4 -----------(II)

Multiply the equation (I) by 2 and then add the equations.

(I)*2        8x + 2y = -2

(II)          -5x - 2y = -4  {Now add and y will be eliminated}

             3x         = -6

                       x = -6/3

x = -2

Substitute x = -2 in equation (I)

4*(-2) + y = -1

-8     + y = -1

          y  = - 1 + 8

           y = 7

Answer:

(-2, 7)

Step-by-step explanation:

4x + y = -1

-5x - 2y = -4

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

2(4x + y = -1) = 8x + 2y = -2

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

8x + 2y = -2

-5x - 2y = -4

3x = -6

÷3   ÷3

x = -2

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

4(-2) + y = -1

-8 + y = -1

+8          +8

y = 7

I hope this helps!

Answer:

Photography is when you take photo's with style or just take photo's.

Step-by-step explanation:

Answer:

$ 3.75

Step-by-step explanation:

divide 10.50 by 2.8 which gives us 3.75

Answer:

B $ 3.75

Step-by-step explanation:

hope it helps you

Answer:

B

Step-by-step explanation:

All angles are the same, all sides are of same length.

Answer:

113.04

Step-by-step explanation:

The area of the square is 144 which means the length of each side of the square is 12. When the length on one side is 12 the radius of the circle will be half of the whole length. In this case, it means the radius is going to be 6. When we find the radius, we can use the formula r^2pie to find the area for the circle.

6 * 6 * 3.14

= 113.04

Answer:

Area = 113.04 in²

Step-by-step explanation:

Given:

Area of a square

[tex]\sf A=s^2\quad \textsf{(where s is the side length)}[/tex]

Substitute the given area of the square into the formula and solve for s:

[tex]\begin{aligned}\sf A & = \sf s^2\\\implies \sf 144 & = \sf s^2\\\sf \sqrt{144} & = \sf \sqrt{s^2}\\\sf 12 & = \sf s\\\implies \sf s & = \sf 12\:\:inches\end{aligned}[/tex]

From inspection of the given diagram, the side length of the square is equal to the diameter of the circle.  Therefore, the diameter is 12 inches.

Radius of a circle

[tex]\sf r = \dfrac{1}{2}\:d\quad \textsf{(where d is the diameter)}[/tex]

Substitute the found diameter into the formula and solve for r:

[tex]\begin{aligned}\sf r & = \sf \dfrac{1}{2}\:d\\\implies \sf r & = \sf \dfrac{1}{2}(12)\\\sf r & = \sf 6\:\:inches\end{aligned}[/tex]

Area of a circle

[tex]\sf A= \pi r^2 \quad \textsf{(where r is the radius)}[/tex]

Substitute the found radius into the formula and solve for A:

[tex]\begin{aligned}\sf A & = \sf \pi r^2\\\implies \sf A & = \sf 3.14 \cdot 6^2\\& = \sf 3.14 \cdot 36\\& = \sf 113.04\:\: in^2\end{aligned}[/tex]

Therefore, the approximate area of the paper circle is 113.04 in².

Answer:

-7

Step-by-step explanation:

Leading coefficient:  the number written in front of the variable with the largest degree.

If a term has two or more variables, its degree is the sum of the exponents of its variables

For  [tex]2x^2y - 7x^2y^3 + 6xy^2[/tex]

Therefore, the leading coefficient is -7 since the greatest sum of the exponents is of the second term.

[tex]\mathbb{FINAL\;ANSWER:}[/tex]

[tex]\huge\boxed{\sf{The\;coefficient\;is\;-7}}[/tex]

[tex]\mathbb{SOLUTION\;WITH\;STEPS:}[/tex]

Hi! Hope you are having a nice day!

The leading coefficient of the given polynomial is -7.

Why? Because the leading coefficient is the number written before the variable with the largest exponent.

In this case, it's -7, because it's written next to a term that's cubed, and that's the largest exponent in the polynomial.

Also, if a term has two variables (or more) then we add the exponents in that term in order to get the degree of the term.

In this case, it's 5.

Hope you could understand everything.

#CarryOnLearning