The fraction
3
29 represents​ ____ of the​ ____ equal parts into which a whole is divided. Please help!

The instantaneous rate of change of a function let it be f(x) is given by it's first Derivative i.e f'(x) and at a particular point like x = a , it's given by f'(a) . But let's recall a basic formula first :

So , now here ;

\({:\implies \quad \sf f(x)=-4x^{2}+2x}\)

Differentiating both sides w.r.t.x ;

\({:\implies \quad \sf f^{\prime}(x)=-4\dfrac{d}{dx}(x^2)+2\dfrac{dx}{dx}}\)

\({:\implies \quad \sf f^{\prime}(x)=-4\cdot 2 \cdot x+2}\)

\({:\implies \quad \sf f^{\prime}(x)=-8x+2}\)

Now , at x = 3 ;

\({:\implies \quad \sf f^{\prime}(3)=-8(3)+2}\)

\({:\implies \quad \sf f^{\prime}(3)=-24+2}\)

\({:\implies \quad \bf \therefore \quad \underline{\underline{f^{\prime}(3)=-22}}}\)

Hence , the required answer is -22

The standard equation of the hyperbola with foci at (-2,5) and (6,5) and a transverse axis of length 4 units is

\(\(\frac{(x - 2)^2}{4} - \frac{(y - 5)^2}{a^2} = 1\)\),

where a represents the distance from the center to the vertices.

To find the equation of the hyperbola, we need to determine the values of a and b, where a is the distance from the center to the vertices and \b is the distance from the center to the foci.

We are given that the transverse axis (the line passing through the vertices) has a length of 4 units. Since the vertices are located at (-2,5) and (6,5), the distance between them is 4 units. Therefore,

\(\(a = \frac{4}{2} \\= 2\).\)

The distance between the foci (-2,5) and (6,5) is 2a, which means \(\(2a = 6 - (-2) \\= 8\)\)

\(\(a = \frac{8}{2} \\= 4\)\).

Now that we have the value of a, we can substitute it into the equation of the hyperbola:

\(\(\frac{(x - 2)^2}{4} - \frac{(y - 5)^2}{a^2} = 1\)\)

Simplifying further, we have:

\(\(\frac{(x - 2)^2}{4} - \frac{(y - 5)^2}{16} = 1\)\)

This is the standard equation of the hyperbola with the given foci and transverse axis.

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The questions for grade 7 math worksheets are typically prepared by math teachers, curriculum specialists, and educational publishers.

These professionals use their knowledge of math concepts and pedagogy to create questions that are appropriate for the grade level and aligned with educational standards.

Additionally, they may use feedback from students and other teachers to refine the questions and ensure they are effective for teaching and learning. It is important for the questions to be clear, accurate, and challenging in order to help students develop their math skills and prepare for more advanced concepts.

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Answer:

C

Step-by-step explanation:

2·π·6·10+2·π·6^2

Answer:

602.88 in^2

Step-by-step explanation:

A=2πrh+2πr^2

A=2(3.14)(6)(10)+2(3.14)(6^2)

A=376.8+226.08

A=602.88

Answer:

No.

Step-by-step explanation:

The triangles aren't congruent because the value of C is unsaid.

The equation y=1 represents a line Perpendicular to x=0.

The equation x=0 represents a vertical line passing through the point (0,0) on the x-axis. A line perpendicular to this line will be a horizontal line passing through the point (0, c) where c is a constant.

So, the equation of the line perpendicular to x=0 is y = c, where c is any constant.

Among the given options, the equation that represents a horizontal line is:

� = 1 y=1

Therefore, the equation y=1 represents a line perpendicular to x=0.

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The name of the shape depicted in the graph below is rose, so the answer is A.

A rose is a flat curve resembling a symbolic image of a flower. Geometrically, it is the algebraic or transcendent curve whose graph is characterized by a series of windings around a central point.

In the best known cases, these windings produce figures in the shape of a rose window, from which its name derives from.

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Answer:

30

Step-by-step explanation:

Answer:

72-42=30

the correct answer is 30

(((((can you give me the crown please i need a crown)))))

Answer:

-336

Step-by-step explanation:

g(x) = 24(x − 39)

Let x = 25

g(x) = 24(25 − 39)

    = 24 (-14)

    = -336

Answer:

vro I guess this is locating root 5

Step-by-step explanation:

mark me BRAINLIST

a) The equation of the tangent plane to the cone at the point (3, -2, -5) is -6x - 16y + z - 9 = 0.

b) At the origin, the cone degenerates into a point, and a well-defined tangent plane does not exist.

We have,

a)

The normal vector is given by the gradient of the surface equation.

The surface equation of the cone is z = -x² + 4y².

Taking the partial derivatives, we have:

∂z/∂x = -2x

∂z/∂y = 8y

At point (3, -2, -5), we substitute these values into the partial derivatives:

∂z/∂x = -2(3) = -6

∂z/∂y = 8(-2) = -16

The normal vector to the cone at the point (3, -2, -5) is

N = (-6, -16, 1).

Since the tangent plane is perpendicular to the normal vector, we can write the equation of the plane as:

-6(x - 3) - 16(y + 2) + (z + 5) = 0

-6x + 18 - 16y - 32 + z + 5 = 0

-6x - 16y + z - 9 = 0

So, the equation of the tangent plane to the cone at the point (3, -2, -5) is -6x - 16y + z - 9 = 0.

b)

If we try to find an equation for the tangent plane to the cone at the origin (0, 0, 0), we encounter a problem.

Plugging in these values into the surface equation, we get z = 0, which means the cone degenerates into a point at the origin.

Since a plane requires an infinite number of points to define it, we cannot find a unique equation for the tangent plane at the origin because there are no nearby points on the cone to establish a plane.

Thus,

a) The equation of the tangent plane to the cone at the point (3, -2, -5) is -6x - 16y + z - 9 = 0.

b) At the origin, the cone degenerates into a point, and a well-defined tangent plane does not exist.

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Answer:

14x=x+28

Step-by-step explanation:

1) 1000 AA Batteries in one Case.

2) 10,000 AA Batteries in One carton.

3) 100,000 AA Batteries in 10 cartons.

To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

We have to given that;

The Store sells AA batteries in the order below:

⇒ 10 batteries in 1 packages

⇒ 10 packages in 1 box

⇒ 10 boxes in 1 case

⇒ 10 cases in 1 Carton

1) We want to determine how many AA batteries are in 1 Case;

Using Multiplication

Number of AA Batteries in 1 Case = 10 Batteries × 10 package × 10 box

                                                    = 1000 AA Batteries

2) We want to determine how many AA batteries are in 1 Carton;

From Part (a),

There are 1000 AA Batteries in 1 Case.

Since, There are 10 Cases in 1 carton.

Number of Batteries in 1 carton = 10 × 1000

                                                = 10,000 AA Batteries

3) 10 Cartons

⇒ 1 carton = 10000 AA Batteries

Therefore, We get;

⇒ 10 Cartons = 10 × 10000

                     = 100,000 AA Batteries

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The graph shows the absolute value function.

y = |x - 3| + 5

First, we can see that the shape of the graph is a "V", so we have an absolute value function.

We can see that the slope is 1 (for each horizontal square that the line moves, it also moves one vertically) , so our function will be of the form

y = |x - a| + b

Notice that the above function has a vertex at (a, b)

And the graphed one ahs a vertex at (3, 5), with that we can conclude that the graphed function is:

y = |x - 3| + 5

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Parameters are the values that are computed from a complete census, which are considered to be precise and valid measures of the population. So, option(b) is right one.

In statistics, a population parameter is a number that identifies an entire group of people or population. This should not be confused with arguments in other forms of mathematics that refer to values that remain constant for a mathematical function. Note that the population parameter is not a statistic, it refers to data for a sample or group of the population. With good research, we can get statistics that accurately estimate the population. Statistics is a numerical measure described with sample data. Therefore, the parameter is a numerical description of the characteristic of population.

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Complete question:

Values that are computed from a complete census, which are considered to be precise and valid measures of the population, are referred to as:

a) statistic

b) parameters

Answer:

B. Variable terms

Step-by-step explanation:

The 4 and -7 both have an x on them. The x is a variable.

Answer:

x=6

Step-by-step explanation:

24=4x

divide both by 4

equals 6

Answer:

to find x we have to find the similarly between the smaller and the larger triangle

the two triangle are similar by side angle side(SAS) similarly therom.

we have to see carefully that the two triangle are similar but not congruent.

Step-by-step explanation:

so the bigger triangle is twice big as the smaller.

so 24/4x =2

8x=24

x=24/8

x=3

Explanation:

Perimeter of the park

= 337 m

= 33700 cm

Length of each fence panel

= 550 cm

Number of fence panel required

= Perimeter of the park/Length of each fence panel

= 33700 cm/550 cm

= 33700/550

= 3370/55

= 674/11

= 61 3/11

So, we will need 61 3/11 fence panels.

P.S. — 61 3/11 means 61 whole and 3/11. I have attached its picture, so that you understand.

Answer:

3x + 6 + 4x + 2 = 7x+8

Step-by-step explanation:

Answer:

3.5 gallons

Step-by-step explanation:

A gallon is 4 quarts

7*2= 14 quarts

14/4 = 3.5

Answer:86 yards

Step-by-step explanation:

We have the diameter, so the solution simply is:

D= 2 r= 2 x 43= 86 yards

P.S. I'm sorry if this isn't clear enough, but that's how i could explain.

For the given expression, the value of x is 263/352

Expression:

Basically, the expression are the mathematical statements that have a minimum of two terms containing numbers or variables, or both, connected by an operator in between.

Given,

Here we have the expression 2-3/4(8x-6)=11.

Now, we need to find the value of x.

Now, we have to write the given expression,

=> 2-3/4(8x-6)=11

Now, we have to simplify the given expression as,

=> -1/ 4(8x - 6) = 11

Now, we have to expand the denominator of the expression, then we get,

=> -1/ 32x - 24 = 11

Cross multiply the expressions, then we get,

=> -1 = 11 (32x - 24)

=> -1 = 352x - 264

=> -1 + 264 = 352 x

=> 263 = 352 x

=> x = 263/352

Therefore, the value of x is 263/352.

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Answer:

y+g

Step-by-step explanation:

Answer:

Koichi was here

Step-by-step explanation:

The line integral ∫cf⋅d r, we need to first find the dot product of the vector function f and the tangent vector of the path c is approximately\( -2.346.\)

The tangent vector of the path c is given by the derivative of the vector function r with respect to t, which is

\( r'(t) = ⟨-9t^2, 2t, 2⟩.\)
Now, we can find the dot product of f and r', which is
\(f⋅r' = (-4sinx)(-9t^2) + (3cosy)(2t) + (10xz)(2)\)
\(= 36t^2sinx + 6tcosy + 20xz\)
Substituting the x, y, and z components of the vector function r, we get
\(f⋅r' = 36t^2sin(-3t^3) + 6tcos(t^2) + 20(-3t^4)t \)
\(= -108t^5sin(3t^3) + 6tcos(t^2) - 60t^5 \)
Now, we can integrate this dot product with respect to t from 0 to 1 to get the line integral:
\(∫cf⋅d r = ∫0^1 (-108t^5sin(3t^3) + 6tcos(t^2) - 60t^5) dt \)
This integral can be evaluated using integration by parts and trigonometric substitutions, and the final answer is approximately \(-2.346. \)
Therefore, the line integral of f along the path c is approximately\( -2.346.\)

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The scatterplot that shows a strong association between two variables even if the correlation is near zero is graph C.

Correlation is a measure that is used in statistics to measure the linear relationship that exists between two variables.

Zero correlation is when there is no linear relationship between the variables been studied. When it is shown on a graph, zero correlation would have no clear linear trend either positive or negative. A linear trend is roughly a straight line. A linear trend is positive if it slopes upward and negative if it slopes downward.

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The following steps are necessary t find the total magnification of the lens.

To determine the total magnification of a microscope, you need to multiply the magnification of the objective lens by the magnification of the eyepiece lens. Here's a step-by-step explanation:

1. Identify the magnification of the objective lens, which is typically marked on the lens itself (e.g., 10x, 40x, or 100x).
2. Identify the magnification of the eyepiece lens, which is usually marked on the eyepiece (e.g., 10x).
3. Multiply the magnification of the objective lens by the magnification of the eyepiece lens to determine the total magnification.

For example, if you have a 40x objective lens and a 10x eyepiece lens, the total magnification of the microscope would be 40x * 10x = 400x.

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