u = 4i + 9j
8= -8j
Find: u +g

Answer:

9.025 inches

Step-by-step explanation:

Let the length be represented by:

[tex]L = mt+L_0[/tex]

Where [tex]L[/tex] is the length of candle at time [tex]t[/tex]

[tex]m[/tex] is the rate at which the candle is burning.

And [tex]L_0[/tex] is the initial length of the candle.

As per the question statement, let us put the given values in the equation.

[tex]11.2 = m\times 33 + L_0 .... (1)\\10.75 = m\times 51+L_0 ..... (2)[/tex]

Subtracting (1) from (2):

[tex]0.45 = -18m\\\Rightarrow m = -0.025[/tex]

Putting the value of [tex]m[/tex] in the equation (1):

[tex]11.2 = -0.025 \times 33+L_0\\\Rightarrow L_0 = 12.025[/tex]

Therefore, the equation becomes:

[tex]L = -0.025t + 12.025[/tex]

Now, we have to find the height of candle after 2 hours.

2 hours mean 120 minutes.

[tex]L = -0.025 \times 120 + 12.025\\\Rightarrow L = 9.025\ inches[/tex]

Therefore, the height of candle is 9.025 inches.

Answer:

When x=1/2, y=28/3

when x =0, y=9

Equation is y=2/3 x + 9

Step-by-step explanation:

First lets convert them to fractions to make it easier. Also put them in order.

X                     Y

0

1/2  

3/4                  19/2

1                      29/3

6/5                 49/5

You can find the slope since we know 2 points.

(3/4, 19/2) and (6/5, 49/5)

m=3/10 / 9/20

m=2/3

y=2/3 x + b

Lets plug in x and y points to find the y-int

19/2=2/3(3/4) + b

b=9

Therefore y=2/3 x + 9

When x=1/2, y=28/3

when x =0, y=9

Answer:

S = 6r + 14

Step-by-step explanation:

14 is the intercept(which wont increase), and 6 is the slope which will increase with every ride

Answer: 29

Step-by-step explanatio?

Answer:

$37.

Step-by-step explanation:

Firstly, let's set the price of each pair of shoe to be x.

Since each pair of shoes costs the same, and there are three pairs, we can set the original price to be 3x.

Now, to apply the shipping charge, all we have to do is add 7.50 to 3x, getting 3x + 7.5.

Next, to apply a 6% tax, we can multiple the whole expression by (100% + 6%), getting (3x + 7.5) [tex]\cdot[/tex] 106%.

Since the whole bill foots to a total of $126.81, we can set the final equation to be:

[tex](3x + 7.5) \cdot 106\% = $126.81[/tex]

[tex](3x + 7.5) \cdot \frac{106}{100} = $126.81[/tex]

[tex]3x + 7.5 = $126.81 \cdot \frac {50}{53}[/tex]

[tex]3x = $119.6 - 7.5[/tex]

[tex]3x = 112.1[/tex]

[tex]x \approx \$37[/tex]

Hope this helped!

Answer:

-1

Step-by-step explanation:

Given the equation :

2(3x – 1) > 4x – 6

Open the bracket :

6x - 2 > 4x - 6

Collect like terms

6x - 4x > - 6 + 2

2x > - 4

Divide both sides by 2

2x /2 > - 4/2

x > - 2

Since x > - 2

-10, - 5, - 3 are all < - 2

Hence, the only option greater than - 2 is - 1

Answer:

a² + 4ab + 4b²

Step-by-step explanation:

Given

(a + 2b)²

= (a + 2b)(a + 2b)

Each term in the second factor is multiplied by each term in the first factor, that is

a(a + 2b) + 2b(a + 2b) ← distribute both parenthesis

= a² + 2ab + 2ab + 4b² ← collect like terms

= a² + 4ab + 4b²

Answer:

What 108 represents here is that the total number of phones she has to fix each week is 108 phones

Step-by-step explanation:

The linear equation is

P = 108-23d

compare this with the general form;

y = mx + c

we have;

P = -23d + 108

We can see that 108 represents the y-intercept in this case

The x-value at the y-intercept is 0

So what this mean is that the number of phones she has to fix each week is 108

Answer: 14 cupcakes

Step-by-step explanation:

sugar available is 7.33 cups, the 1/3 cup of sugar is no use due to the fact that you need 1/2 cup of sugar to make a single cupcake.

for Spanish readers: el azúcar disponible es de 7.33 tazas, el 1/3 de taza de azúcar es inútil debido al hecho de que necesitas 1/2 taza de azúcar para hacer un solo cupcake.

for French readers:

le sucre disponible est de 7,33 tasses, 1/3 de tasse de sucre n'est pas utile car vous avez besoin de 1/2 tasse de sucre pour faire un seul petit gâteau.

hopefully this helped! :D

Answer:

one cupcake= 1/2 cup of sugar

Total sugar availability: 7 and 1/3 or 7.33

Now go ahead and divide 7.33/.50

Notice that for every cup of sugar you can make exactly 2 cupcakes

Therefore you can make a total or 7*2=14 cupcakes

You are unable to utilize the rest of the 1/3 cup because you need 1/2 to make a singular cupcake

Please rate brainlist and give a positive review.

Answer: Add two circles to the left and a square to the right

Step-by-step explanation:

Answer:

The sign is negative

Step-by-step explanation:

Given

[tex]Expression = 3xy[/tex]

[tex]x > 0[/tex]

[tex]y<0[/tex]

Required

Determine the sign

The expression can be split into 3 factors

[tex](3) (x) (y)[/tex]

If x > 0 then x is positive and If y < 0 then y is negative

So, the expression becomes:

[tex](+3) (+x) (-y)[/tex]

Leave only signs

[tex](+) (+) (-)[/tex]

[tex]+ * + = -[/tex]

So, we have:

[tex](+*+) (-)[/tex]

[tex](+) (-)[/tex]

[tex]+ * - = -[/tex]

So, we have:

[tex](+) (-) = -[/tex]

Hence, the sign of the expression is negative

Take for instance;

[tex]x = 2[/tex]

[tex]y = -4[/tex]

The expression would be:

[tex]3 *2 * - 4 =-24[/tex] -- negative

Answer: maybe its 6

Step-by-step explanation:

i think its 6 because it has +3 so maybe adding 3+3

Answer: $1.4

Step-by-step explanation:

Given that:

Discounted price roses = $1

Amount saved = $4

Regular price - discounted price = amount saved

x - 10(1) = 4

x - 10 = 4

x = 4 + 10

x = $14

Regular price of 10 roses = $14

Regular price per rose = $14 / 10 = $1.4

Answer:

2nd option

Step-by-step explanation:

the domain is from 0 to infinity

we count 0 because

f(0)=1 (just look in the graph)

so

[tex]x \geq 0[/tex]

which is the 2nd option

Answer:

y = -5x

Step-by-step explanation:

A direction variation equation is of the form

y = kx

The only equation of this form is

y = -5x  where the constant of variation is -5

Answer:

7groups

Step-by-step explanation:

15+6/3=7groups

Answer:

0

General Formulas and Concepts:

Algebra I

Step-by-step explanation:

Step 1: Define

50x³ -20x + 8x - 21x³ - 3x + 15x - 29x³

Step 2: Simplify

Answer:

[tex]\boxed {\boxed {\sf 0}}[/tex]

Step-by-step explanation:

We are given the expression:

[tex]50x^3-20x+8x-21x^3-3x+15x-29x^3[/tex]

We want to simplify it, so we must combine the like terms. For this equation, the like terms are terms with x³ or x.

First, combine all the x³ terms.

[tex](50x^3-21x^3-29x^3)-20x+8x-3x+15x[/tex]

[tex](0x^3)-20x+8x-3x+15x[/tex]

[tex]-20x+8x-3x+15x[/tex]

Next, combine all the remaining terms, because they are all terms with an x.

[tex]-12x-3x+15x[/tex]

[tex]-15x+15x=0[/tex]

The expression is equal to 0

Answer:

210

14x15=210

Step-by-step explanation:

14x15 =210

Step-by-step explanation:

4x+2+95=-7+17x

104=13x

x=8

for angle U=34 degrees

the answer is C

Step-by-step explanation:

Given information :

Mr. Gonzalez drove 30 miles in March. In January, she drove 1/5 as much as in March.

30 ÷ 5 = 6 miles in January

in JanuaryShe drove 2 times as many miles in February as she did in January. In January, she drove 30 miles.

6 x 2 = 12 miles in February

Answer:

x = -96

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Step-by-step explanation:

Step 1: Define

1/2x + 18 = 1/4x - 6

Step 2: Solve for x

Answer:

Step-by-step explanation:

-2 1/6-1 1/4 +1 3/4

[tex]=-\frac{13}{6} -\frac{5}{4} +\frac{7}{4} \\(L.C.M. ~of ~6,4,4=12)\\=\frac{-26-15+21}{12} \\=-\frac{20}{12}\\=-\frac{5}{3} \\=-1 \frac{2}{3}[/tex]

Answer:

34 then 42

Step-by-step explanation:

big brainnnnnnnnn

Answer:

15 feets per second

Step-by-step explanation:

Given that:

Distance traveled by plane = 300 feets

Time taken by plane to travel such distance = 20 seconds

Rate at which the plane is diving is obtained thus :

Distance / time

= 300 feets / 20 seconds

= 15 feets / second

Hence, the plane is diving at a rate of 15 feets per second.

Answer:

40.5 inches

Step-by-step explanation:

15.2*2+5.05*2=30.4+10.1=40.5