Write down the gradient of a line parallel to the line drawn below...

Answer:

x = 400 when y = 100

Step-by-step explanation:

This is a question in relation to direct variation.

y ∝ [tex]\sqrt{x}[/tex]

y = k [tex]\sqrt{x}[/tex]

Given that, y = 45, x = 81. Then;

45 = k [tex]\sqrt{81}[/tex]

45 = 9k

k = [tex]\frac{45}{9}[/tex]

k = 5

Thus the relationship among the variables is;

y = 5 [tex]\sqrt{x}[/tex]

If y = 100, then;

100 = 5 [tex]\sqrt{x}[/tex]

[tex]\sqrt{x}[/tex] = [tex]\frac{100}{5}[/tex]

[tex]\sqrt{x}[/tex] = 20

x = [tex](20)^{2}[/tex]

x = 400

Therefore, x = 400 when y = 100.

Answer:

157[tex]ft^{3}[/tex]

Step-by-step explanation:

Volume =  the area of the base times the height.

Area of a circle = [tex]\pi[/tex][tex]r^{2}[/tex]

a = [tex]\pi[/tex][tex](5^{2})[/tex]   I am going to use 3.14 for [tex]\pi[/tex]

a = 3.14(25)

a = 15.7

Volume = 15.7 x 10 = 157

Answer:

785 ft२

Step-by-step explanation:

volume =3.13*5२*10

=3.14*25*10

=785 ft२

The set of rational expressions are closed under subtraction because the subtraction will result to a rational expression

The ratio of two polynomials is a rational expression.

A rational expression can be expressed in the form p/q, where p and q are polynomials,

Closure property of rational expression

According to the closure property, a - b is also a rational number for any pair of two rational numbers, a and b. The outcome is a rational number. Therefore, under subtraction, the rational numbers are closed.

In the polynomial subtraction

= P(x) /q(x) - r(x)/s(x)

= (P(x) * s(x) - r(x) * q(x)) / (q(x) * r(x))) also a rational number

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Answer:

I didn't unferstanf

Step-by-step explanation:

ok further of all I don't understand the question

✔ -15/17

cos(θ) =  

✔ 8/17

tan(θ) =  

✔ -15/8

csc(θ) =  

✔ -17/15

sec(θ) =  

✔ 17/8

cot(θ) =  

✔ -8/15

Answer:

  DNE

Step-by-step explanation:

You want the value of 'b' so that the system of equations has no solution.

In order for the system of two linear equations to have no solution, the equations must describe parallel lines. That is, the lines must have the same slope.

The slope of the line written in the form px -qy = c is the coefficient of x when the equation is rearranged to "y=" form. Here, that is p/q.

The slope of the first line is 5/2; the slope of the second line is 5/6. These values are different and do not depend on 'b'.

There is no value of 'b' that will make this system have no solution. It does not exist (DNE).

Answer:

Dylan should purchase the 10-lens boxes in packs of 4 for $120, as this is the better deal. This option provides 40 lenses for $120, which works out to be $3 per lens. The 8-lens boxes in packs of 2 for $52 only provides 16 lenses for $52, which works out to be $3.25 per lens Therefore, the 10-lens boxes in packs of 4 is the better deal.

Step-by-step explanation:

Answer:

he should buy the 10-lens boxes in packs of 4 for $120

Step-by-step explanation:

Answer:

Multiply input by 4.

Step-by-step explanation:

So, all we have to do is find the difference between the input/output.

So for the first one.

4y=1x

Divde both sides:

1y=1/4x

Next we have 16y=4x

Divide both sides:

1y=1/4x

Ok, so we now know that y is 1/4x

Or in otherwords, 4x is 1y.

Remember x is input, and y is output.

So we can think of this as the input times 4 equals the output.

This seems to be the second answer.

Hope this helps!

Answer:

Second option: multiply input number by 4.

Step-by-step explanation:

You need to remember that the "input numbers" are the values of "x" and the "output numbers" are the values of "y".

You can observe in the table that each output number is always four time its corresponding input number. This means that to find the missing numbers on the given table, you need to multiply the corresponding input number by 4.

Therefore, you get:

For  : x=3

y=4x

y=4(3)

y=12

For  : x=6

y=4x

y=4(6)

y=24

Answer:

A.) negatively skewed

B.) Symmetric

C.) Positively skewed

Step-by-step explanation:

The shape of a distribution can be described in terms of the tail and peak of the distribution as Symmetric, left tailed or right tailed.

In the first graph; distribution is left tailed as we have a longer tail to the left Than to the right side of the distribution and the peak Hence, slightly shifting to the right.

The second graph on the other hand sees the peak being centered, at the centre of the distribution and the tails being even. Hence, we have a Symmetric or normal distribution.

The third is the opposite of the first with the tail being to the right and peak slightly shifting to the left to give a positive skew or right tailed distribution.

Answer:

x = 12.8

Step-by-step explanation:

i use this calculator to find triangle measurements as long as you know like three values it works

https://www.calculator.net/triangle-calculator.html?vc=90&vx=&vy=10&va=38&vz=&vb=&angleunits=d&x=79&y=19

ik sending a link is hecka sus but you can just look up triangle calculator and it'll pop up

The total surface area of the cube will be 37.5 cm²

Here the edge of the cube is given

Edge = 2.5 cm

We have to find out the total surface area of the cube

Total surface area of cube = 6a², where a is the edge of the cube

                                            = 6 × 2.5 × 2.5

                                            = 37.5 cm²

Hence, the total surface area of the cube will be 37.5 cm²

The complete question is,
Find the surface area of a cube of Edge 2.5 CM​

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Answer:

Evan will need enough paint to cover

✔ 448 in.2.

What is the maximum amount of soil he will need to fill the box?

The maximum amount of soil is

✔ 768 in.3.

Step-by-step explanation:

I got it right on assignment, sorry for late answer

Evan will need enough paint to cover 448 in². The maximum amount of soil is 768 in³

An equation is an expression that shows the relationship between two or more variables and numbers.

The box is open at the top, hence:

Minimum amount of paint = surface area of box = (16 * 6) + 2(8 * 6) + 2(16 * 8) = 448 in²

Maximum amount of soil = 16 in * 6 in * 8 in = 768 in³

Evan will need enough paint to cover 448 in². The maximum amount of soil is 768 in³

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Answer:

Each roll of wallpaper has an area of 90 square feet.

Step-by-step explanation:

In order to find the number of square feet of wallpaper in each roll, we first need to calculate the total area of the wallpaper in the roll. The area is the product of the length and width of the roll.

The width of each roll is 1 yard, and the length of each roll is 10 yards.

Area of the wallpaper = width x length = 1 yard x 10 yards = 10 square yards

Now we need to convert the area from square yards to square feet, as the area of wallpaper is usually measured in square feet.

1 yard = 3 feet

So we need to multiply the area in square yards by the conversion factor, which is 9.

10 square yards = 10 square yard * 9 = 90 square feet

Therefore, each roll of wallpaper has an area of 90 square feet.

It's important to note that while calculating, the units should be consistent i.e area of a length (yard) multiplied with a width(yard) will give the area in square yards, which we converted to square feet by considering the conversion factor of 1 yard = 3 feet.

Answer:

1. -3, -2

2. 2, -7

3. 1, 2.5

4. infinitely many solutions

Answer:

1. (-3,-2)

2. (1, -7)

3. (1, 2.5)

4. No solution

Step-by-step explanation:

Number 1: Substitution

Plug y in to substitute and get

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

4x + 4 = -8

4x = -12

x = -3

Then plug into the y equation

y = 2(-3) + 4

y = -6 + 4

y = -2

(-3, -2)

Number 2: Elimination

Begin eliminating by crossing out same values

40x + 12y = -44

-2y = 14

Solve for y

-2y = 14

y = -7

Solve for x

40x + 12(-7) = -44

40x - 84 = -44

40x = 40

x = 1

(1, -7)

Number 3: Elimination

Add the two and get:

-3x + 2y = 2

6y = 15

Solve for y:

6y = 15

y = 5/2

Solve for x:

3x + 4(5/2) = 13

3x + 10 = 13

3x = 3

x = 1

(1, 2.5)

Number 4: Substitution

Solving for y to begin with:

4x - y = -3

-y = -3 - 4x

y = 3 + 4x

Then solve for y in the second system

-8x + 2y = 6

2y = 6 + 8x

y = 3 + 4x

Set equal to each other

3 + 4x = 4 + 4x

3 = 4

No solution

1 : 2.5 is the constant proportionality.

1 (× 2) : 2.5 (× 2) = 2 : 5

1 (× 4) : 2.5 (× 4) = 4 : 10

1 (× 6) : 2.5 (× 6) = 6 : 15

1 (× 8) : 2.5 (× 8) = 8 : 20

Answer:

Asumiendo que la distribución de las compras sea normal, tenemos:

_

x = 128.45

σ = 18.26

a)

x = 100

Normalizamos:

.......... _

z = (x - x) / σ

z = (100 - 128.45) / 18.26

z = -28.45 / 18.26

z ≅ -1.56

Buscando en la tabla de áreas bajo la curva normal tipificada (de 0 a z) obtenemos que para z = 1.56 la probabilidad es de 0.4406 = 44.06%. Esta es P(-1.56 < z < 0) = P(0 < z < 1.56).

Como preguntan P(x > 100), tenemos que

P(x > 100) = 0.5 + P(-1.56 < z < 0) = 0.5 + 0.4406 = 0.9406

La probabilidad de que un cliente compre más de $100 es del 94.06%.

=======

b)

x = 150

Normalizamos:

.......... _

z = (x - x) / σ

z = (150 - 128.45) / 18.26

z = 21.55 / 18.26

z ≅ 1.18

Buscando en la tabla de áreas bajo la curva normal tipificada (de 0 a z) obtenemos que para z = 1.18 la probabilidad es de 0.3810 = 38.10%. Esta es P(0 < z < 1.18).

Como preguntan P(x > 150), tenemos que

P(x > 150) = 0.5 - P(0 < z < 1.18) = 0.5 - 0.3810 = 0.1190

La probabilidad de que un cliente compre más de $150 es del 11.90%.

=======

c)

x = 120

Normalizamos:

.......... _

z = (x - x) / σ

z = (120 - 128.45) / 18.26

z = -8.45 / 18.26

z ≅ -0.46

Buscando en la tabla de áreas bajo la curva normal tipificada (de 0 a z) obtenemos que para z = 0.46 la probabilidad es de 0.1772 = 17.72%. Esta es P(-0.46 < z < 0) = P(0 < z < 0.46).

Como preguntan P(x < 120), tenemos que

P(x < 120) = 0.5 - P(-0.46 < z < 0) = 0.5 - 0.1772 = 0.3228

RESPUESTA:

La probabilidad de que un cliente compre menos de $120 es del 32.28%

As a result, the first term of the answer to the given arithmetic mean problem is 14.

The Arithmetic Mean or Average of the Group is the product of the sum of all the numbers in a group and the amount of items in that list, divided by both. The Geometric progression is also same as this .This average of the numbers 5, 7, and 9 is, for instance, 4, as 5 + 7 + 9 is 21, and 21 split by 3 [there really are three numbers] equals 7.

Here,

In this case, t(n) = (a + ((n — 1) * d)),

The value of the nth term is t(n),

The first term of the AS is a.

The position of a value in the A.S. is represented by the positive whole integer n, and

The constant common difference among A.S. words is d.

In light of the question, we can say:

11 = (5 + ((4 — 1) * d)),

Take 5 away from both sides.

11 — 5 = (5 + ((4 — 1) * d)) — 5,

On the RHS, the fives cancel one another out.

6 = 3d,

d = 2.

In summary, the common distinction is: 2.

=> 20 = a + 3d

=> 20 - 6

=> a =14

As a result, the first term of the answer to the given arithmetic mean problem is 14.

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Answer:

44-31=13

so 13

Step-by-step explanation:

Answer:

Option D would be the correct answer

Hope this helps!

Answer:

9.9 inches

Step-by-step explanation:

Use the pythagorean Theorem

c^2 = a^2 + b^2

c^2 = 7^2 + 7^2

c^2 = 49 + 49

c^2 = 98

Take the square root of both sides

c = 9.8994949366

Rounded

c = 9.9 inches

Answer:

(−1)kxk

Step-by-step explanation:

Therefore, the infinite series ∞∑k=11k does not converge.

(−1)kxk = 1 − x + x2 − x3 + ···. = ∞. ∑ k=0. (−x)k = 1. 1 − (−x). = 1. 1 + x ... 3. )k. = x. 1 − (x2/3). = 3x. 3 − x2 for |x2/3| < 1. 1.2 Radius of Convergence.

The first five multiples of 5 is 5, 10, 15, 20, 15 and the multiple equation is

5×1, 5×2, 5×3, 5×4, 5×5.

A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.

Given, Find the first five multiples of the number.

Let, The number be 5.

Therefore, The first five multiples of 5 is,

5, 10, 15, 20, 25.

And, the multiple equation is,

5×1, 5×2, 5×3, 5×4, 5×5.

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Answer

He needs to get 20 points

Step-by-step explanation:

80% is 4/5. 4/5 of 25 is 20

Answer:

Jim bought the used RV at a price of $ 6,485 under its book price.

Step-by-step explanation:

Given that Jim Clinnin purchased a used RV with 18,500 miles for $ 46,400, and originally the RV sold for $ 67,500 with a residual value of $ 19,500 and, after subtracting the residual value, depreciation allowance per mile was $ 0.79, to determine how much was Jim's purchase price over or below the book value the following calculation must be performed:

18,500 x 0.79 = 14615

67,500 - 14,615 = X

52.885 = X

52,885 - 46,400 = 6,485

Therefore, Jim bought the used RV at a price of $ 6,485 under its book price.

Answer:

42.3°

Step-by-step explanation:

Use SOH-CAH-TOA (O=opposite, A=adjacent, H=hypotenuse) we see that they give us the angle missing, x, but we first need to identify what method to use. They give us the opposite side from the angle, and they also give us the adjacent side from the angle, so TOA=tan.

now plug it in, since there is no angle then we plug it in as [tex]tan^{-1}=\frac{10}{11}[/tex]

in the calculator, (be sure to be in degree mode)

x=  42.3°

(does that make sense)

Answer:

300 milligrams are in aa cup of milk.

Step-by-step explanation:

.25 x 1200 = 300

Answer:

A

Step-by-step explanation:

The figure was turned 90 degrees