Graph the line that represents a proportional relationship between y and x where the unit rate of change of y with respect to x is 4/3. In other words, a change of 1 unit in x corresponds to a change of 4/3 in y

Answer:

Step-by-step explanation:

cos^2+sin^2 = 1  ( rule)

cos^4x-cos^2x      simplify

- cos^2( -cos^2 +1  )     -cos^2 common

or  -cos^2 ( 1-cos^2)    

since cos^2 + sin^2 = 1

substitute : -cos^2 ( sin^2 )

substitute  :  -(1-sin^2 ) ( sin^2)

multiply : -sin^2 + sin^4 or sin^4 - sin^2

it is verified that sin^4 -sin^2= cos^4-cos^2

hope it helps  

A plane 2-dimensional figure with three straight sides and three angles.

Answer:

Answer:

don't type the mathematics questions

Answer:150

Step-by-step explanation:

(19+7)(2×6+1)

Step-by-step explanation:

(19+7)/(2×6+1) = 2

26/13 = 2

2 = 2

Answer:

24 ml oil

60 g onions

360 g potatoes

400 ml milk

Step-by-step explanation:

The recipe makes 16 portions and you only need 4 portions. Since 16 is 4 times bigger than what you need, just divide everything you've been given by 4.

*you can choose to convert into the correct units of measurement before or after dividing. I converted after dividing. Either way works fine though.

1) 96/4 = 24 ml

2) 240/4 = 60 g

3) 1.44/4 = 0.36 kg

They want it in grams, so times it by 1,000 to convert. this gives you 360 g.

4) 1.6/4 = 0.4 l

They want it in ml, so times it by 1,000 to convert. this gives you 400 ml.

Hope this helped : )

Answer:

x=-3.5

Step-by-step explanation:

[tex]2(4x - 1) + 3(3 - 2x) = 0 \\ open \: the \: bracets \: \\ 8x - 2 + 9 - 6x = 0 \\ [/tex]

[tex]collect \: like \: terms. \\ 8x - 6x = 0 + 2 - 9 \\ 2x = - 7[/tex]

[tex]divide \: both \: sides \: of \: the \: equation \: by \: 2 \\ \frac{2x}{2} = \frac{ - 7}{2} \\ x = - \frac{7}{2} or \: x = - 3.5[/tex]

Answer:

[tex]y=\frac{3}{4}+2x[/tex]

Step-by-step explanation:

Answer:

The means of the proportion 3/15 = 12/60 are 15 and 12. The means of the proportion 3/15 = 12/60 are 15 and 12

Answer:

c) $5,350

Step-by-step explanation:

The difference between the commission and an attorney

Option C is correct

Answer:

C

Step-by-step explanation:

Answer:

The figures are shown in the image attached.

Notice that the figure is a cube with side of 3 cubes long. That means the total number of cubes that form the figure are

[tex]V=3^{3}=27[/tex]

27 cubes in total.

Its height is formed by 3 cubes.

Its length is formed by 3 cubes.

Its width is formed by 3 cubes.

The second figure has:

Its height formed by 5 cubes.

Its length formed by 1 cube.

Its width formed by 3 cubes.

Which gives: [tex]V= 5 \times 1 \times 3 = 15[/tex]

There are 15 cubes in total.

The third figure has

Its height formed by 3 cubes.

Its length formed by 2 cube.

Its width formed by 3 cubes.

Which gives: [tex]V= 3 \times 2 \times 3 = 18[/tex]

There are 18 cubes in total.

The fourth figure has

Its height formed by 1 cubes.

Its length formed by 2 cube.

Its width formed by 7 cubes.

Which gives: [tex]V= 1 \times 2 \times 7 = 14[/tex]

There are 14 cubes in total.

Answer:

Correct option: B -> 36

Step-by-step explanation:

The surface area of a circular cone is given by the formula:

Surface area = pi * radius * (radius + slant height)

If the inicial radius is 4 in and the slant height is 9 in, we have:

Surface area = pi * 4 * (4 + 9) = 52pi in2

The radius and the slant height are multiplied by 6, so we have:

radius = 6 * 4 = 24 in

slant height = 6 * 9 = 54 in

So the new surface area is:

New surface area = pi * 24 * (24 + 54) = 1872pi in2

The factor of the surface areas is:

New surface area / Surface area = 1872pi / 52pi = 36

Correct option: B

Answer:

b

Step-by-step explanation:

Answer: The numbers are 13 and 14

Step-by-step explanation:

Since they are two consecutive numbers, let the numbers be x and x+1.

We are told that twice the first number is twelve more than the second number. This can be expressed as:

2 × x = x+1+12

2x = x+13

2x-x = 13

x = 13

Since x = 13, x+1 = 13+1 = 14

The numbers are 13 and 14

Answer:

Any integer multiplied can give rational number

Step-by-step explanation:

Answer:

a = 125°, b = 20°, c = 35°, d = 90°, e = 55°

Step-by-step explanation:

Quadrilateral PQRS is inscribed in a circle, therefore it is a cyclic quadrilateral.

PQ is diameter, SR is chord and PR is transversal such that:

PQ || SR... (given)

[tex] m\angle PRQ = 90°..(\angle \: inscribed \: in\: semicircle) \\

\huge \red {\boxed {\therefore d = 90°}} \\\\

m\angle RPQ= m\angle PRS .. (alternate \: \angle s) \\

\huge \purple {\boxed {\therefore c = 35°}} \\\\

In\: \triangle PQR, \\

c + d + e = 180°\\

35° + 90° + e = 180°\\

125° + e = 180°\\

e = 180° - 125°\\

\huge \orange {\boxed {\therefore e = 55°}} \\\\

a + e = 180°...(opposite \:\angle 's \: of \: cyclic \: quadrilateral) \\

a + 55°= 180°\\

a = 180°- 55°\\

\huge \blue {\boxed {a = 125°}} \\\\

In\: \triangle PSR, \\

a + b + 35°= 180°\\

125° + b + 35° = 180°\\

160° + b = 180°\\

b = 180° - 160°\\

\huge \pink {\boxed {b = 20°}}

[/tex]

Answer:

The answer is C

Step-by-step explanation:

Please mark me Brainliest

Answer:

8 gallons

Step-by-step explanation:

Already a question from another person.

Answer:

5 gallons

Step-by-step explanation:

Answer:

-8

Step-by-step explanation:

Write the polynomial from highest power to smallest

− 8x^5 − 9x^4+5x^3 + 17

The leading coefficient is the first number in front of the highest power

Answer:

(x+9)(x+2)

Step-by-step explanation:

x(x+9)+2(x+9)

(x+2)(x+9)

the order of the (---) doesn't matter

Answer:

Tiffany made the better buy

Step-by-step explanation:

Based on the information provided within the question it can be said that Tiffany made the better buy in this scenario. Mainly because Tiffany paid a less amount per pound than Tony did. This can be calculated by dividing the total amount each paid by the total amount each of them received, like so...

Tiffany: $38 / 9 = $4.22 per pound

Tony: $19 / 3 = $6.33 per pound

Therefore we can see that Tiffany paid $4.22 per pound and Tony paid $6.33 per pound a whole $2.11 more than Tiffany, thus making Tiffany purchase the better buy.

Answer:

26

Step-by-step explanation:

10 x 4 = 40

6.5 x 4 = 26

The height of the telephone pole is 26 foot.

Ratio basically compares quantities, that means it show value of one quantity with respect to other quantity.

If a and b are two values, their ratio will be a:b,

Given that,

Shadow of 6.5 foot street sign = 10 foot

Let the height of telephone pole = h foot

According to given condition,

Shadow of h foot telephone pole = 40 foot

Since, 10 foot shadow cast by 6.5 foot street sign

To find the height of the pole,

Use Ratio property,

10/6.5=40/h

⇒h=26 foot

The height of telephone pole is 26 foot

To know more about Ratio on:

https://brainly.com/question/23724140

#SPJ5

Answer:

A. and D. are correct

Step-by-step explanation:

The correct answers are Option A, Option D.

The terms which have the GCF of [tex]6x^3\\[/tex] are [tex]12p^3r[/tex] and [tex]54p^3[/tex].

Given data:

To find the greatest common factor (GCF) of the given terms, we need to find the highest power of x that divides into all the terms and the highest power of p that divides into all the terms.

For [tex]12p^3r[/tex] , the highest power of x that divides into this term is [tex]x^0[/tex](since x^0 = 1), and the highest power of p that divides into this term is [tex]p^3[/tex]. Therefore, the GCF is [tex]1 * p^3 = p^3.[/tex]

For 54p^3, the highest power of x that divides into this term is [tex]x^0[/tex] (since x^0 = 1), and the highest power of p that divides into this term is [tex]p^3[/tex]. Therefore, the GCF is [tex]1 * p^3 = p^3.[/tex]

Hence, the terms are [tex]12p^3r[/tex] and [tex]54p^3[/tex].

To learn more about greatest common factor, refer:

https://brainly.com/question/13257989

#SPJ7

Answer:

per second or minute or hour?

per second: 2 per second

per minute: 120 per minute

per hour: 7200 per hour

Step-by-step explanation:

two 1/2 seconds per second so 2 products per second. multiply by 60 for per minute is 120. multiply the minute amount by 60 for hour amount aka 7200.

hope this helps! pls mark brainliest! have a good day!

Answer: She scan products at

Given that: A grocery store clerk can scan one product every 1/2 of a second.

That means:

Rate = 2 per second.

Rate = (2*60) = 120 per minute.

Rate = (120*60) = 7200 per hour

Learn more: https://brainly.com/question/12049968

Answer:

3/4

Step-by-step explanation:

Scale factor = 6/8 or 9/12 = 3/4

Answer:

I think the answer is (x + 4) • (x + 2)

Step-by-step explanation:

First multiply the coefficient of the first term by the constant

Step 2: Find two factors of 8 whose sum equals the coefficient of the middle term 6

Step 3: write the polynomial splitting the middle term using the two factors found in step 2

Step 4:  Add up the first 2 terms, pulling out like factors :

                   x • (x+2)

Add up the last 2 terms, pulling out common factors :

                   4 • (x+2)

Step 5: Add up the four terms in step 4

(x+4)  •  (x+2)

Your final answer is (x + 4) • (x + 2)

Answer:

Slope = 8.000/2.000 = 4.000

 x-intercept = 10/4 = 5/2 = 2.50000

 y-intercept = -10/1 = -10.00000

Step-by-step explanation:

y= mx + b is the slope intercept form of a line where m is the slope and b is the y intercept.

Step  1  :   Equation of a Straight Line

Step 2: Graph of a Straight Line

Step 3: Calculate the Y-Intercept

Step 4: Calculate the X-Intercept

Step 5: Calculate the Slope

Hope this helps.

Answer:

[tex]11[/tex]

Step-by-step explanation:

[tex]2(6+1)-3[/tex]

[tex]2(7)-3[/tex]

[tex]14-3[/tex]

[tex]11[/tex]

Answer:

11

Step-by-step explanation:

1. insert 6 in the x spot

2. add inside of the parenthesis (6+1)=7

3. multiply 2 and 7 to get 14

4. take 3 from 14 to get 11

Answer:

The area of the room is 37.5 square inches.

Step-by-step explanation:

Consider that the room is rectangular in shape.

The dimensions of the rooms are:

Length (l) = 7.5 inches

Breadth (b) = 5 inches

The area of a rectangle is:

Area = l × b

Compute the area of the room as follows:

Area = l × b

        [tex]=7.5\times 5\\=37.5[/tex]

Thus, the area of the room is 37.5 square inches.

Answer:

The triple is 9, 12, 15

The hypotenuse is 15.

Step-by-step explanation:

Pythagorean Theorem Formula: a²+b²=c² where a & b are the short legs and c is the hypotenuse.

9²+b²=(b+3)²

81+b²=(b+3)²

Small list of the Pythagorean Triples that contain 9:

9,12,15

9,40,41

So as you can see, there are only 2 examples in my list that contain 9 in them. The only one that fits our criteria is the triple, 9, 12 and, 15

You don't need to use the Pythagorean Formula for this as I have just proved.

Answer:

12 cm

Step-by-step explanation:

I don't think u have to use the phytagores theorem b/c the hypotenuse is 9+3=12. but if u have to use this.

[tex] {?a}^{2} + {b}^{2} = {c}^{2} [/tex]

[tex] {9}^{2} + {b}^{2} = {9 + 3}^{2} [/tex]

[tex]81 + {b}^{2} = 9(9 + 3) + 3(9 + 3)[/tex]

[tex]81 + {b}^{2} = 81 + 54 + 9[/tex]

[tex]81 + {b}^{2} = 144[/tex]

[tex] {b}^{2} = 144 - 81 = 63[/tex]

[tex] {b}^{2} = \sqrt{53} = b = 7.93[/tex]

so if u found b then u can find c by using the same formula.

[tex] {a}^{2} + {b}^{2} = {c}^{2} [/tex]

[tex] {9}^{2} + {7.93}^{2} = {c}^{2} [/tex]

[tex]81 + 63 = {c}^{2} [/tex]

[tex] {c}^{2} = 81 + 63 = 144[/tex]

[tex] \sqrt{c} = \sqrt{144} [/tex]

[tex]c = 12[/tex]