If f(x) = x5 - 1, g(x) = 5x², and h(x) = 2x, which expression is equivalent to [go fo h](9)?
O2(5(95-1)²)
O2((5-92)5-1)
O5((2-9)5-1)²
O(5(2-9)2)5-1

Answer:

Wait,

Step-by-step explanation:

The dimensions length is 10 feet, width is 10 feet and height is 5 feet and the smallest possible surface area is 300 square feet.

Volume=lbh

lbh=500 cubic feet

h=500/lb

Surface area S=lb+2bh+2lh...(1) {rectangular tank has no top}

S=lb+2b(500/lb)+2l(500/lb) {substituting the value of h in 1}

S=lb+1000/l+1000/b { partially differentiating S with respect to l and b}

for S to be minimum dS/dl=0 and dS/db=0

dS/dl= b-1000/l^2

dS/dl=0

b=1000/l^2...(2)

dS/db= l-1000/b^2

dS/db=0

l=1000/b^2

l=1000/(1000/l^2)^2 {substituting the value of b from 2}

l=(1000 x l^4)/(1000000)

1000000/1000=l^4/l

1000=l^3

l=10  feet

b=1000/l^2

b=1000/100=10  feet

lbh=500

h=500/(10x10(

h=5  feet

S=10x10+2x5x10+2x10x5

S=300 square  feet

Length is 10 feet, width is 10 feet and height is 5 feet and the smallest possible surface area is 300 square feet of the  rectangular tank.

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The area of the circle is A. 3 square units

The formula for determining the area of a circle is expressed as;

A = πr² or 1/4πd²

Given that;

Also, the formula for calculating the radius of a circle is given as;

Radius = diameter/2

Substitute the value, we have;

Radius = 2/2

Radius = 1

Substitute the value into the formula

Area, A = 3. 14 × (1)²

Find the square

Area, A = 3. 14 square units

Hence, the value is 3 square units. Option A

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The complete question

Estimate the area of the circle, given the diameter as 2 unit. Round to the nearest whole number. A) 3 square units B) 6 square units C) 9 square units D) 12 square units

Answer:

74

Step-by-step explanation:

You subtract 43 from 12 you get 31 then you add 43 and 31 you get 74 bye

Answer:

c=35 degrees

Step-by-step explanation:

Its a right angle triangle which is equal to 90 degrees

so 43 +12=55 degrees.

90-55=35 degrees

c=35 degrees

The actual length of the car based on the model will be 350 inches.

Ratio in Mathematics simply demonstrates how many times one number can be able to fit into another number. It should be noted that ratios contrast two numbers by dividing them. In this case, A/B will be the formula if one is comparing one variable (A) to another variable (B).

Since the ratio of the model car was 2:35. If the model is 20 inches long, the actual length of the car will be:

= 20 ÷ 2/35

= 20 × 35/2

= 350 inches.

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Complete question

The ratio of the model car was 2:35. If the model is 20 inches long. then what would be the actual length of the car??

Answer:

tony

Step-by-step explanation:

his fraction is the greatest meaning that it's also the lowest

The members voted 2 more for mars than earth.

The Solar System has at least eight planets: the terrestrial planets Mercury, Venus, Earth and Mars, and the giant planets Jupiter, Saturn, Uranus and Neptune.

Given here, Mars has 8 votes while earth has 6 votes

Thus difference in votes is =8-6

                                              = 2

Hence, Mars got two more members than earth

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Solution of the equation is x = 3 ± i that is a complex number where 3 is the real part and i is the imaginary part.

The equation of two-degree polynomial having one variable is called quadratic equation.

The solution of a quadratic equation is either real or complex. We use quadratic equation formula for solution whenever we cannot expand, and factoring a given two-degree polynomial equation.

given equation, x² = 6x -10

                x²-6x +10 =0

This equation cannot be expanded so we need to write the formula for quadratic equation to solve it.

we know that standard form of a quadratic equation is given by

ax² + bx +c = 0

where a is the coefficient of x², b is the coefficient of x and c is the constant.

the solution of the equation is given by x = -b ± √ (b² - 4ac) / 2a

Now, the solution for the above equation is x = 6 ± √ (6² - 4×1×10) / 2×1

                                                                     x = 6 ± √ (36 -40) / 2

                                                                x = 6 ± √-4 / 2

                                                   as        √-4 = √-1 ×2

                                                            x = 6 ± 2 √-1 /2  

                                        divide both numerator and denominator by 2

                                              x = 3± i     as √-1 = i

this is the solution in (a + bi) form a = 3 and b = 1

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Answer:

Your answer is C

Step-by-step explanation:

3(4)-1 = 11

Answer:

d.   8

Step-by-step explanation:

3x − 1 = 11

add 1 to both sides

3x = 12

Divide both sides by 3

x = 4

-----------------

2x = 2*4 = 8

Answer:

Step-by-step explanation:

A scatter plot is a chart type that is normally used to observe and visually display the relationship between variables. It is also known as a scattergram, scatter graph, or scatter chart

Answer:

c

Step-by-step explanation:

the theoretical guess would be a 50/50 split for heads and tail, but tails was landed on less than 50 times, so heads landed more. the answer would be c. hope this helps

Answer:

25.9%

Step-by-step explanation:

10/22 x 12/21 = 25.9%

9514 1404 393

Answer:

  (5, 6) is (h, k)

Step-by-step explanation:

Vertex form is an instance of the transformation of parent function f(x) = x². It is vertically scaled by a factor of 'a', and translated so the vertex is point (h, k). That is, the transformed vertex is h units right and k units up from that of the parent function (0, 0).

Parent:

  f(x) = x^2

Transformed:

  f(x) = a(x -h)^2 +k

__

When you compare the form to your specific instance, you need to pay attention to what it is that you're comparing. As the attachment shows, ...

Hence the vertex is (h, k) = (5, 6). The second attachment shows this on a graph.

It looks like there may be a typo in the function you provided. It appears that you meant to write "f(x) = 80(0.5)^x", which would represent the distance after a pendulum begins swinging, where x is the number of swings.

This function indicates that the distance traveled by the pendulum decreases by half with each swing. For example, after the first swing, the distance traveled would be 80(0.5)^1 = 40 units. After the second swing, the distance traveled would be 80(0.5)^2 = 20 units. And so on.

The exponent x in the function represents the number of swings, so the distance traveled by the pendulum can be calculated by plugging in the desired value of x into the function. For example, to calculate the distance traveled after 10 swings, we can plug in x = 10:

f(10) = 80(0.5)^10 = 0.390625 units

This indicates that the pendulum has traveled a distance of approximately 0.39 units after 10 swings.

The equation of the line that passes through the points (-4, -6) and (9, 2) is

y = (8/13)x - 46/13.

The equation of a line is given by:

y = mx + c

where m is the slope of the line and c is the y-intercept.

Example:

The slope of the line y = 2x + 3 is 2.

The slope of a line that passes through (1, 2) and (2, 3) is 1.

We have,

The line passes through points (-4, -6) and (9, 2).

Let the equation of the line y = mx + c.

Now,

m = (2 + 6) / (9 + 4) = 8/13

(-4, -6) = (x, y)

-6 = (8/13) x -4 + c
-6 = -32/13 + c

c = -6 + 32/13

c = (-78 + 32)/13

c = -46/13

Thus,

The equation of the line is y = (8/13)x - 46/13.

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For given right triangle, the length of hypotenuse x = 4/√3

Here we have been given a 30° - 60°- 90° right triangle.

A side opposie to angle 60 degrees measures 2 units.

And x is the hypotenuse of right tirnagle.

To find the value of x, consider sine of angle 60 degrees.

sin(60°) = (opposite side of angle 60°) / hypotenuse

From tirgonometric table, sin(60°) = √3 / 2

So, above equation becomes,

√3/ 2 = 2/x

x = 2 × (2/√3)

x = 4/√3

We can see that the value of x is in in simplest radical form with a rational denominator.

Therefore, x = 4/√3

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There is no single answer to this question. It depends on what values are chosen for x and y , equation has an infinite

The equation 5x + 2y = -7 is an indeterminate equation with two unknowns, x and y. This means that the equation has an infinite number of solutions, depending on the values of x and y. For example, if x = 3 and y = -2, then the equation would be satisfied. If x = 2 and y = -3, then the equation would also be satisfied. Therefore, the number of solutions for this equation is infinite.There is no single answer to this question. It depends on what values are chosen for x and y.

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The plot for histogram is given below. Through digits distribution it can be seen that last digit of height of many students are same and the heights appear to be reported.

What is frequency distribution?

To make the information easier to understand, frequency distributions are visual displays that organise and present frequency counts. Absolute frequencies as well as relative frequencies, such as percentages or ratios, can be displayed in frequency distributions.

The table of data is given below.

According to the table the histogram is plotted.

The graphic representation of data points arranged into user-specified ranges is called a histogram. The histogram, which resembles a bar graph in appearance, condenses a data series into an intuitive visual by collecting numerous data points and organising them into logical ranges or bins.

The digits distribution show that the maximum number of students have a height whose last digit is 3.

The heights appears to be reported by the students and not actually measured as maximum of them are having same last digit which corresponds to the possibility that the first digit might be different. This is a possible example of a survey.

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Answer:

circumference of the base

Step-by-step explanation:

Given that

The height of the cylinder is 10 inches

And, the 8 inches show the circumference of the base or the circumference of the circle

So,

C = 2r π

or

8 = 2r π

So, the 8 inches represent the same as shown above

Hence, the last option is correct

Answer:

circumference of the base.. D

Step-by-step explanation:

ANSWER D OPTION D

Answer:

gay

Step-by-step explanation:

gayayayayayayaydyfyfaygaygagya

The Greatest Common Factor (GCF) for 75 and 105, notation CGF(75,105), is 15. Explanation: The factors of 75 are 1,3,5,15,25,75; The factors of 105 are 1,3,5,7,15,21,35,105.

THANKS!

FROM CAMBRIDGE UNIVERSITY

:)

The highest common factor (HCF) of 75 and 105 is 15.

The factor of a number is a number that can divide another number perfectly without any remainder.

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Answer:

y = - 3

Step-by-step explanation:

Call the line y = a + bx (d)

Since d go through (-7;-3) so -7 = a - 3b (1)

Since d go through (8;-3) so 8 = a - 3b (2)

From (1) and (2), we have equations: [tex]\left \{ {{a - 3b = -7} \atop {a - 3b = 8}} \right.[/tex]

Solve the equations, we have [tex]\left \{ {{a = 0} \atop {b = -3}} \right.[/tex]

A translation is a transformation that occurs when a figure is moved from one location to another location without changing its size, shape or orientation. In the coordinate plane we can draw the translation if we know the direction and how far the figure should be moved.

Now, According to the question:

What does translation of coordinates mean?

A translation is a transformation that occurs when a figure is moved from one location to another location without changing its size, shape or orientation. In the coordinate plane we can draw the translation if we know the direction and how far the figure should be moved.

Transformations of Graphs

Vertically translating a graph is equivalent to shifting the base graph up or down in the direction of the y-axis. A graph is translated k units vertically by moving each point on the graph k units vertically.

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Answer:

I believe it to be A.

Answer:

10.6 units

Step-by-step explanation:

The length of base ON of trapezoid LMNO is 17 units

We know that the median theorem of trapezoid, which states that the median of a trapezoid is parallel to each base. Also, the length of the median equals one-half the sum of the lengths of the two bases.

Consider the following diagram of trapezoid LMNO with bases LM and ON , and Median PQ.

Given that the equations for the bases and median of trapezoid LMNO .

PQ = t +6, LM = t +3 and ON = 3t – 7

From above theorem,

PQ = 1/2 (LM + ON)

t + 6 = 1/2 ( t + 3 + 3t - 7)

2(t + 6) = 4t + 3 - 7

2t + 12 = 4t - 4

4t - 2t = 12 + 4

2t = 16

t = 8 units

So, ON = 3t - 7

ON = 3(8) - 7

ON = 24 - 7

ON = 17 units

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As you can see, we turned the fraction 10100 into its decimal representation, 0.1, in a single simple computation.

Any number of equal portions, or parts of a whole, are described by fractions. Fractions in standard English indicate the number of pieces of a specific size. 8, 3/4 of .Part of an entire is a fraction. The ratio of the numerator to the denominator is how numbers are expressed in mathematics. Each of these is an integer in simple fractions. In the numerator or denominator of a complex fraction is a fraction. When a fraction is true, its numerator is smaller than its denominator.

With 100 as the denominator, decimal fractions in the hundredth place are written. We shall discover how each square is split into 100 equal sections in this section. A tenth is a portion that is just partially shaded. The fraction is expressed as 1/100 in decimal form.

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The given two functions are said to be equal functions if and only if both it's domain and range are equal.

In mathematics we use functions to show the relation between two objects.

They are used in various aspects of real life. The domain of a function is known as all the possible input values which can be given to the function.

The range of the function is the set of all the possible outputs which can be obtained from a function. We also have co-domain of a function which can be defined as the set of outputs for a relation or function , it can be equal to the range.

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