Find all roots. Answer as soon as possible. Explain how to do it.

Answer:

435cm³

is my answer correct?

im pretty sure it is...

what is the 4.7cm the radius or circumference

if its the circumferance the answer is 1.753

Step-by-step explanation:

The standard deviation gives information about how values are distributed around the mean. The range between the lowest and highest number is more constrained when the standard deviation is low. Values will so tend to group together around the mean.

What is explained by the standard deviation?

The term "standard deviation" (or "") refers to the degree of dispersion of the data from the mean. Data are grouped around the mean when the standard deviation is low, and are more dispersed when the standard deviation is high.

                                     When comparing data sets that may have the same mean but a different range, it is helpful. The mean of the following two numbers, for instance, is the same: 15, 15, 15, 14, 16 and 2, 7, 14, 22, 30.

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Answer:

b) is the correct option

13 + 13 +13 +13= 52 ft

or

13 times the four sides

= 52

The type of variables recorded

Number of people in party- Discrete;

mess price per person-continuous

The number of people in a party is generally recorded as a separate variable. separate variables are characterized by distinct, separate values that can only take on whole figures or specific orders.

In this case, the number of people in a party can only be whole figures(e.g., 1, 2, 3,etc.), making it a separate variable.

On the other hand, the average price of the mess per person is recorded as a continuous variable. continuous variables can take on a range of numerical values, including fragments or numbers.

In the environment of mess prices, the average price can vary continuously, similar as$10.50, $15.75, etc., allowing for horizonless possible values.

Thus, the mess price per person is a continuous variable.

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Answer:

Step-by-step explanation:

138° - 80° = 58°

Answer:

a) 70 azulejos

b) 37500 litros

c) 37.5m³

Step-by-step explanation:

A piscina tem 5 m de comprimento, 3 m de largura e 2,5 m de profundidade.

Comprimento = 5m

Largura = 3m

Profundidade (altura) = 2,5 m

Calcular:

a) A quantidade de ladrilhos necessária para cobrir a piscina

Isso é calculado como a área de superfície da votação

A = 2 (wl + hl + hw)

A = 2 × (3 × 5 + 2.5 × 5 +2.5 × 3)

A = 70 m²

Observe que:

1 m² = 1 azulejo

70 m² = 70 azulejos

b) A quantidade de água que pode caber na piscina.

1 m³ = 1000 litres

O volume de uma piscina = Comprimento × Largura × Altura

= 5m × 3m × 2.5m

= 37.5m³

1 m³ = 1000 litros

37.5m³ =

37.5 × 1000 litros

= 37500 litros

c) seu volume em m³

O volume de uma piscina = Comprimento × Largura × Altura

= 5m × 3m × 2.5m

= 37.5m³

\(f(0) = 2 \cdot 0 - 3 = 0 - 3 = -3\\f(-2) = 2 \cdot (-2) - 3 = -4 - 3 = -7\\f(5) = 2 \cdot 5 - 3 = 10 - 3 = 7\)

(f + g)(6) = 39 represents the total number of animals adopted by both shelters in 6 months, based on the combined adoption rates of the two shelters.

Part A:

To find (f + g)(x), we add the functions f(x) and g(x):

(f + g)(x) = f(x) + g(x)

= (3x + 10) + (x + 5) (substitute the given functions)

= 4x + 15 (combine like terms)

Therefore, (f + g)(x) = 4x + 15.

Part B:

To evaluate (f + g)(6), we substitute x = 6 into the (f + g)(x) function:

(f + g)(6) = 4(6) + 15

= 24 + 15

= 39

Therefore, (f + g)(6) = 39.

Part C:

The value of (f + g)(6) represents the combined number of animals adopted by both shelters after 6 months. The function (f + g)(x) gives us the total adoption rate of the two shelters at any given time x. When x = 6, the combined adoption rate was 39 animals.

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Since the constant rate is equal to

the initial population is b= 75,00 and the line equation in slope-intercept is

The model is given by:

For a linear transformation T: R³ → R³ given by T(x) = v × x, the image of T is a plane perpendicular to vector v, and the kernel of T is the set of vectors parallel to vector v.

In the context of your question, we have a nonzero vector v in R³ and a linear transformation T: R³ → R³ given by T(x) = v × x, where × denotes the cross product.

The image of T consists of all the vectors that can be obtained by applying the transformation T to any vector x in R³. Geometrically, the cross product of two vectors results in a third vector that is perpendicular to both input vectors. Therefore, the image of T will be a set of vectors lying in a plane that is perpendicular to the vector v.

The kernel of T, on the other hand, consists of all the vectors x in R³ that satisfy the equation T(x) = 0. Geometrically, this means that the cross product v × x is the zero vector. This occurs when the vectors v and x are parallel, as their cross product will have a magnitude of 0. So, the kernel of T will be the set of all vectors that are parallel to the vector v.

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the tangent line of the curve x = 6t2 + 8, y = t3 − 4 has a slope of 1/2 at the point (2, -2).

we can use the formula for finding the slope of a tangent line to a curve at a given point, which is dy/dx. To find the value of t at which the tangent line has a slope of 1/2, we need to set dy/dx equal to 1/2 and solve for t.

Taking the derivatives of x = 6t2 + 8 and y = t3 − 4, we get dx/dt = 12t and dy/dt = 3t2. Then, using the formula for dy/dx, we have:

dy/dx = (dy/dt) / (dx/dt)
dy/dx = (3t2) / (12t)
dy/dx = 1/4 * t

Setting this equal to 1/2, we have:

1/4 * t = 1/2
t = 2

Therefore, the tangent line has a slope of 1/2 at the point (2, -2) on the curve.

we can find the point on a curve where the tangent line has a given slope by setting the derivative of y with respect to x equal to that slope, solving for t, and then plugging that value of t back into the equations for x and y to find the corresponding point on the curve.

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Answer:

35 minutes

Step-by-step explanation:

The total time he walked for last week is

10 * 5 = 50 minutes

Subtract 225 by 50 to find the total time he spend for swimming

225-50 = 175 minutes

Divide 175 by 5 to find the time taken for swimming on each day

175/5 = 35 minutes

Answer:

r = 3.6 , a = 2

Step-by-step explanation:

given that r is inversely proportional to a then the equation relating them is

r = \(\frac{k}{a}\) ← k is the constant of proportion

to find k use the condition when r = 12 , a = 1.5

12 = \(\frac{k}{1.5}\) ( multiply both sides by 1.5 )

18 = k

r = \(\frac{18}{a}\) ← equation of proportion

when a = 5 , then

r = \(\frac{18}{5}\) = 3.6

when r = 9 , then

9 = \(\frac{18}{a}\) ( multiply both sides by a )

9a = 18 ( divide both sides by 9 )

a = 2

Answer:

7

Step-by-step explanation:

Step-by-step explanation:

it is a bit unclear to me how the cups are stacked on each other.

are we building a pyramid or is it really just one line of cups stacked into each other ? the equation suggests the latter. so, I will continue with that assumption.

then each additional cup really adds only the height of the rim to the total height of the cup tower.

so, we want to find out for what smallest x is the equation delivering as y value 32,400 or more.

32,400 = 2.4x + 13.6

let's get rid of the decimals by multiplying everything by 10.

324,000 = 24x + 136

323,864 = 24x

x = 323,864/24 = 13,494.33333...

so, we need 13,495 cups to reach its height (just rounding it to 13,494 would still leave a tiny gap, so we need the 13,495th cup - there is no way to reach the height exactly).

At t = 3, the rate οf change οf y with respect tο x is:

dy/dx = (dy/dt) / (dx/dt) = (3/5) / 9 = 1/15

The prοcess οf differentiatiοn cοmpares the rate οf change οf the functiοn tο the rate οf change οf the independent variable. The οutcοme οf differentiating a functiοn is referred tο as the functiοn's derivative. It prοvides each pοint's slοpe οn the functiοn's graph.

Tο find the rate οf change οf y with respect tο x, we need tο find dy/dx at t = 3. We can use the chain rule tο express dy/dx in terms οf derivatives with respect tο t:

dy/dx = (dy/dt) / (dx/dt)

We can find dx/dt and dy/dt as follows:

dx/dt = 3t² - 6t

dy/dt = (1/2)(t² + 16\()^{(-1/2)\) * 2t

Substituting t = 3, we get:

dx/dt = 3(3)² - 6(3) = 9

dy/dt = (1/2)((3)² + 16\()^{(-1/2)\) x 2(3) = 3/5

Therefore, at t = 3, the rate of change of y with respect to x is:

dy/dx = (dy/dt) / (dx/dt) = (3/5) / 9 = 1/15

So the answer is 1/15.

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Answer: Son aquellos números naturales los que sirven para contar elementos por lo que son naturales por ejemplo: 6,7,8,9… Por definición convencional se dirá que cualquier elemento del siguiente conjunto, ℕ = {1, 2, 3, 4, …}, es un número natural.

The area of the sector bounded by the 95° arc is approximately 379.94 square feet

To find the area of a sector bounded by a given arc, we need to know the radius and the central angle of the sector.

Given:

Radius (r) = 24 feet

Central angle (θ) = 95°

The formula to calculate the area of a sector is:

Area = (θ/360°) * π * r^2

Substituting the values into the formula:

Area = (95/360) * π * (24^2)

Area = (19/72) * π * 576

Area ≈ 379.94 square feet

Therefore, the area of the sector bounded by the 95° arc is approximately 379.94 square feet.

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The scale factor of the dilation is equal to: B. 5.

In Geometry, a scale factor simply refers to the ratio of two corresponding side lengths or diameter in two similar geometric objects, which can be used to either vertically or horizontally enlarge or reduce a function representing their size.

Generally speaking, the transformation rule for the dilation of a geometric object based on a specific scale factor with respect to the origin is given by this mathematical expression:

(x, y)      →    (SFx, SFy)

Where:

Scale factor = 15/3 = -25/-5

Scale factor = 5.

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Answer:

71%

Step-by-step explanation:

The original price is 200. The dress was sold for 142.

Take the price of the dress divide the original price (142/200) then times 100.

Answer:

27% off

Step-by-step explanation:

Answer: 725 as a decimal is 7.25

725 as a fraction is 725/1

725 as a percent is 7250%

Step-by-step explanation:

725 as a decimal is 7.25

725 as a fraction is 725/1

725 as a percent is 7250%

In a 4x3x2x2 factorial experiment, you have 4 independent variables and potentially 4 main effect hypotheses.

The 4 independent variables are represented by the four numbers in the experimental design

(i.e., 4 levels of variable A, 3 levels of variable B, 2 levels of variable C, and 2 levels of variable D).

The potentially 4 main effect hypotheses are one for each independent variable, which states that there is a significant effect of that independent variable on the outcome variable.

A factorial experiment includes multiple factors simultaneously, each consisting of two or more

levels. Many factors simultaneously influence what is studied in a factorial experiment, and

experimenters consider the main effects and interactions between factors.

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The value of y when x is 9 and the constant of proportionality(k) is 4 is 36.

A ratio is a comparison between two similar quantities in simplest form.

Proportions are of two types one is the direct proportion in which if one quantity is increased by a constant k the other quantity will also be increased by the same constant k and vice versa.

In the case of inverse proportion if one quantity is increased by a constant k the quantity will decrease by the same constant k and vice versa.

Given, x and y vary directly and y is 44 when x is 11.

Let, y ∝ x.

y = kx.

44 = 11k.

k = 44/11.

k = 4.

Now x = 9.

y = 4×9.

y = 36.

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Answer:

38

Step-by-step explanation:

Put 2 in place of q

(34+18×2)-(5^2+7)

(34+36)-(25+7)

70-32=38

The solution to the system of simultaneous equations is; (-1, 4) and (3, 0)

We are given two equations as;

y = x² - x - 6  -----(1)

y = x - 3   ----(2)

We will use the algebraic method to solve it as;

The general format for a quadratic equation is;

y = ax² + bx + c

The quadratic formula to solve the quadratic equation is;

x = [-b ± √(b² - 4ac)]/(2a)

Put equation 2 into equation 1 to get;

x - 3 = x² - x - 6

x² - x - x - 6 + 3 = 0

x² - 2x - 3 = 0

Factorizing we have;

x² + x - 3x - 3 = 0

x(x + 1) - 3(x + 1) = 0

Thus;

x - 3 = 0 or x + 1 = 0

x = -1 or 3

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Answer:

Step-by-step explanation:

X axis intercept (y=0)

3x+2(0)=5

3x=5

x=5/3

Y axis intercept (x=0)

3(0)+2y=5

2y=5

y=5/2

so, the interception points are: (5/3,0) and (5/2,0)

The equation of the line perpendicular to y = -x + 1 that passes through the point (3,-1) is y = x - 4.

To find the equation of a line perpendicular to a given line, we need to use the fact that the slopes of perpendicular lines are negative reciprocals of each other.

The given line has a slope of -1, so any line perpendicular to it will have a slope of 1.

We also know that the line we are trying to find passes through the point (3,-1).

We can use point-slope form to write the equation of the line:

y - y1 = m(x - x1)

Substituting m = 1 and (x1,y1) = (3,-1), we get:

y - (-1) = 1(x - 3)

y + 1 = x - 3

y = x - 4

So, the equation of the line perpendicular to y = -x + 1 that passes through the point (3,-1) is y = x - 4.

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Answer:

equilateral triangle is the answer