if y varies directly as x and y=32 when x=4 find the value of y when x=5

Answer: TRUE

Step-by-step explanation:

Answer:

True

Step-by-step explanation:

A^2+B^2=C^2

Answer:

[tex]Sum = 100[/tex]

Step-by-step explanation:

Given

468 and 241

Required

Sum of the Tens

Breaking 468 to smaller bits; we have

Hundred = 400

Tens = 60

Units = 8

Breaking 241 to smaller bits; we have

Hundred = 200

Tens = 40

Units = 1

The question requests for the sum of the Tens;

The sum of the tens goes thus;

[tex]Sum = Tens_{468} + Tens_{241}[/tex]

[tex]Sum = 60 + 40[/tex]

[tex]Sum = 100[/tex]

Hence, the sum of tens of 468 and 241 is 100

Answer:

46

Step-by-step explanation:I know this because I have done this before!

Answer:

B.

Step-by-step explanation:

The triangle is obtuse because there only has to be one obtuse angle for it to be obtuse.

Answer:obtuse

Step-by-step explanation: it’s 180 degrees

729x¹⁵ + 1000

This is a case of a sum of cubes.

729 is the cube of 9

1000 is the cube of 10

x¹⁵ is the cube of x⁵

A sum of perfect cubes can be factored into  

(a + b) (a² - ab + b²)

(9x⁵+ 10) ((9x⁵)²-(9x⁵)(10) + 10²)

(9x⁵ + 10) (81x¹⁰ - 90x⁵ + 100) THIS IS THE FACTORIZATION

9x⁵ (81x¹⁰ - 90x⁵ + 100) + 10(81x¹⁰ - 90x⁵ + 100)

729x¹⁵ - 810x¹⁰ + 900x⁵ + 810x¹⁰ - 900x⁵ + 1000

729x¹⁵ - 810x¹⁰ + 810x¹⁰ + 900x⁵ - 900x⁵ + 1000

729x¹⁵ + 1000

Anne: 7x^7 + 6x^5 – 3x^3 + 8x

Answer:The answer is B

Step-by-step explanation:

Answer:

Randy: 38.25

Step-by-step explanation:

J 4×12.75= 51

R 3×12.75= 38.25

K 1×12.75= 12.75

51+38.25+12.75=102

Answer: 37

Step-by-step explanation: TEN years ago :       4+3+1  = 8              TEN years ago  (102-30) = 72        72/8 = 9  

     Randy was   3 * 9 = 27    ten years ago           now he is   37 y/o

Answer:

d < -60

Step-by-step explanation:

Let d represent the depth of the researchers' second dive.

Given;

Depth of First dive = -60 ft

It was stated that in their second dive, the researchers explore a deeper depth, That is depth deeper than 60 ft.

Since the depth of 60ft is represented by the integer -60,

Deeper depth would be represented by integers less than -60.

So, d can be represented as;

d < -60

Answer:

d < -60

Step-by-step explanation:

Let d represent the depth of the researchers' second dive.

Depth of First dive = -60 ft

It was stated that in their second dive, the researchers explore a deeper depth, That is depth deeper than 60 ft.

Since the depth of 60ft is represented by the integer -60,

Deeper depth would be represented by integers less than -60.

So, d can be represented as;

d < -60

Answer:

1.656 litres

Step-by-step explanation:

1 can = 414ml

4 cans = 414 x 4

4 cans = 1,656ml

1,656ml = 1.656 litres

The amount of broth poured into the soup is 1.656 L.

Given data:

To determine the number of liters of broth Roland poured into the soup, we need to convert the volume of the broth from milliliters (mL) to liters (L).

Given that each can contains 414 mL of chicken broth, and Roland poured 4 cans of broth into the pot, we can calculate the total volume in milliliters:

414 mL/can * 4 cans = 1656 mL

On simplifying the equation:

To convert milliliters to liters, we divide by 1000 since there are 1000 milliliters in a liter:

1656 mL / 1000 = 1.656 L

Hence, Roland poured 1.656 liters of broth.

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Answer:

B

Step-by-step explanation:

The vertex of the parabola is (-1,-4)

So the axis of symetry is x=-1

Answer:

c=6.25

Step-by-step explanation:

If a line that is flat (has a slope of zero) hits only one point of the parabola, it means that point is the vertex of the parabola.

In this case your equation is ---

y= –x^2 + 5x

--- and you just need to write in vertex for the equation:

y=a(x–h)^2 + k

y= –(x–2.5)^2 + 6.25

The vertex is (h,k) or (2.5,6.25)

Since the equation is "y=", k=c

or c=6.25

Thank You.

In this question:

Doing this, we find that the value is: [tex]c = \frac{25}{4}[/tex]

Solving a quadratic equation:

Given a second order polynomial expressed by the following equation:

[tex]ax^{2} + bx + c, a\neq0[/tex].

This polynomial has roots [tex]x_{1}, x_{2}[/tex] such that [tex]ax^{2} + bx + c = a(x - x_{1})*(x - x_{2})[/tex], given by the following formulas:

[tex]x_{1} = \frac{-b + \sqrt{\Delta}}{2*a}[/tex]

[tex]x_{2} = \frac{-b - \sqrt{\Delta}}{2*a}[/tex]

[tex]\Delta = b^{2} - 4ac[/tex]

Line: y = c

Parabola: y = -x^ 2 +5x.

The intersection is at the point:

[tex]-x^2 + 5x = c[/tex]

[tex]-x^2 + 5x - c = 0[/tex]

[tex]x^2 - 5x + c = 0[/tex]

Which is a quadratic equation with [tex]a = 1, b = -5[/tex].

The line and the parabola intersect at exactly one point, which means that the quadratic equation has one solution, that is, [tex]\Delta = 0[/tex].

Since:

[tex]\Delta = b^{2} - 4ac[/tex]

It means that:

[tex]b^2 - 4ac = 0[/tex]

We use this to find the value of c.

[tex](-5)^2 - 4(1)(c) = 0[/tex]

[tex]4c = 25[/tex]

[tex]c = \frac{25}{4}[/tex]

The value is: [tex]c = \frac{25}{4}[/tex]

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Answer:

g(-16)  = 6

Step-by-step explanation:

We want the value of the function when x = -16

The function is constant from x = -8 to the left.  The value is 6

g(-16)  = 6

Answer:

g(-16) = 6

Step-by-step explanation:

The upper horizontal line with an arrow to the left means that the value of function g remains at 6 from x = -8 as it approaches negative infinity. Since -16 is in the interval from -8 to -infinity, then

g(-16) = 6

Answer:

B)

Step-by-step explanation:

[tex]\frac{1}{3}x+2=7x[/tex]

Subtract (1/3)x form both sides

[tex]\frac{1}{3}x+2-\frac{1}{3}x=7x-\frac{1}{3}x\\\\2=7x-\frac{1}{3}x\\\\2=\frac{7*3}{1*3}x-\frac{1}{3}x\\\\2=\frac{21}{3}x-\frac{1}{3}x\\\\2=\frac{20}{3}x\\\\\frac{20}{3}x=2\\\\x=2*\frac{3}{20}\\\\x=\frac{3}{10}[/tex]

Answer:

the answer would be y = 20x + 0.15s

Step-by-step explanation:

In this problem you would just plug in your facts. 20 would plug in for m, 15% would change to 0.15 then you would plug 0.15 into c.

The equation represents Emma's situation is y = 20x + 0.15s. The correct option is C.

An equation of the line is defined as a linear equation having a degree of one. The equation of the line contains two variables x and y. And the third parameter is the slope of the line which represents the elevation of the line.

The equation in the form y = mx + cs models Emma’s situation is

y = 20x + 0.15s

She makes $20 per hour, so for x hours, she makes 20x. The slope-intercept of the line y= mx+c

Where y coordinate, x-  x co-ordinate

m=slope of the given line

C-y intercept.

She makes a 15% commission on the sales, s. 15% = 0.15,

So for the sales, she makes

15% * s = 0.15s.

The total she makes is 20x + 0.15s

y = 20x + 0.15s

The complete question is given below:-

Emma has just started a new sales job. She makes $20 an hour. On top of her hourly wages, she’ll be paid a commission of 15% on all sales she makes. Use this information to answer the following questions.

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Answer:

x=-0.875

Step-by-step explanation:

Into an equasion it would be: 8•x+9=2

Let's solve for x:

1. 8x+9=2

2. 8x=2-9

3. 8x=-7

4. x=-0.875

Answer:

7/23

Step-by-step explanation:

Multiples of 4 are 4 and 8

4 was spun 4 times

8 was spun 3 times

total spins = 2+3+2+4+5+3+1+3=23

P( 4 or 8) = number of times spun / total

                = (4+3) / 23

                  =7/23

Answer:

30

Step-by-step explanation:

5/6x-1/5x=19

19/30x=19

30/19(19/30x)= 30/19(19)

x= 30

The definition that defines a line segment is

piece of a line with two endpoints.

Line segment refer to line on a piece which comprises of two points that are extreme to each other.

Therefore, The definition that defines a line segment is piece of a line with two endpoints.

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2nd Option : a piece of a line with two endpoints

A figure formed by joining two points and whose ends are extended to the infinity is called line.

A line segment is the finite length between two points, which can be measured. A line segment is a small part of a line.

A line segment is defined as a piece of a line with two endpoints.

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Answer:

[tex]x=0.5[/tex]

[tex]y=anything[/tex]

Step-by-step explanation:

15−x+y=14−(−x−y)

15-x+y=14+x+y

Subtract 14 from both sides

1-x+y=x+y

Subtract y from both sides

1-x=x

Add x to both sides

1=2x

2x=1

Divide both sides by 2

x=0.5

Answer:

1/5 or 20%

Step-by-step explanation:

There are 10 total options

P( 5 or6) = number of 5's or 6's / total

               =2/10

               = 1/5

1/5 = 20%

Answer:

1/5, 20%

Step-by-step explanation:

Since there are 10 numbers in all from 1-10, the probability of spinning a 5 or a 6 is 2/10 which simplifies to 1/5. This also equals 20%.

Answer:

Positive

Step-by-step explanation:

Positive plus positive is positive. For example, 3+3. That will be 6. 3 is positive both times. And six is positive.

Answer:

y= -1 1/3

Decimal form: -1.3

Answer:

I am sick

Step-by-step explanation:

Answer:

[tex] \boxed{(f \times g)(x) = 3 {x}^{2} + 11x + 10} [/tex]

Given:

[tex]f(x) = x + 2 \\ \\ g(x) = 3x + 5[/tex]

To Find:

[tex] (f \times g)(x) = f(x) \times g(x)[/tex]

Step-by-step explanation:

[tex]= > f(x) \times g(x) = (x + 2)( 3x + 5) \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: =x( 3x + 5) + 2(3x + 5) \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: =3 {x}^{2} + 5x + 6x + 10\\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: =3 {x}^{2} + 11x + 10[/tex]

Answer:

[tex]\boxed{(f \times g)(x) = 3 {x}^{2} + 11x + 10}[/tex]

Step-by-step explanation:

Foil:

x times 2x

2 times 3x

x times 5

2 times 5

then add them all up

Answer:

$60

Step-by-step explanation:

1200*0.05 = $60

Answer: a = 6 inches

Step-by-step explanation:

a = V^1/3

Answer:

3556b - 48

Step-by-step explanation:

−6(14b+10)+4(910b+3)=

-84b-60+3640b+12=

(3640-84)b+(12-60)=

3556b - 48