Find the equation of the line having a slope of 4 and a y-intercept on (0,3)

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.

Answer:

I think it is 7.3.  Cos35=6/MN.

Step-by-step explanation:

Cosine of 35 degrees= adjacent side /hypotenuse.

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]

Answer:

Step-by-step explanation:

The best estimate for the volume of a coffee mug would be the volume of a cylinder. The volume of a cylinder is:

[tex]V=\pi r^2h[/tex]

The volume can be thought of as the area of a circle, being scaled by the height. The area of the circular base of the mug, multiplied by the height of the mug.

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:

$ 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

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 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

Step-by-step explanation:

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

Answer:

B

Step-by-step explanation:

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

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:

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

Find 2% of what she sold by multiplying the amount she sold by 2%:

5250 x 2% = 5250 x 0.02 = $105

Now add that to her monthly salary:

3462 + 105 = $3,567

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:

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:

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:

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

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.

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).

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: 120

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

Answer:$15, 75%

$35-$20=$15

$15/$20*100=

Step-by-step explanation:

Answer:

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

Step-by-step explanation:

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

Step-by-step explanation:

L : J

2:3

so Lara has 2 shares

2 shares = 8

what is one share

type in comments

and then I will explain the rest

The amount of the Joan's share will be $12.

A ratio is a collection of ordered integers a and b represented as a/b, with b never equaling zero. A proportionate expression is one in which two items are equal.

Algebra is the study of graphic formulas, while logic is the interpretation among those signs.

A sum of money is divided between Laura and Joan in the ratio 2:3.

Laura’s share is $8.

Let J be the amount of Joan's share and L be the amount of Laura's share.

Then the amount of Joan's share will be

L / J = 2 / 3

8 / J = 2 / 3

By the cross multiplication, then the equation will be

2J = 8 x 3

2J = 24

 J = 24 / 2

 J = $12

The amount of the Joan's share will be $12.

More about the ratio and the proportion link is given below.

https://brainly.com/question/14335762

#SPJ5

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

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!