maths question please help

The percent error of the measurement , to the nearest tenth of a percent is 5.9% .

In the question ,

it is given that

the actual length of the line = 17.1 inches

the length of the line measured by Julia = 16.1 inches

the percent error can be calculated using the formula

percent error = (actual length - measured length)/(actual length)

Substituting the actual and measured value in the formula ,

we get

percent error = (17.1 - 16.1)/17.1

= 1/17.1

= 5.84795

≈ 5.9%

Therefore ,The percent error of the measurement , to the nearest tenth of a percent is 5.9% .

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The transformation from f(x) to g(x) is horizontal shift 3 units right and vertical shift 5 units up

The parent function function is

f(x) = |x|

The second function is

g(x) = |x - 3| + 5

The transformation of the function or the shape is the change of the coordinates of the shape. The shape and the size will be same only the coordinates will change

The parent function

f(x) = |x|

First there is a horizontal shift, that is 3 units right

Then there will be a vertical shift, that is 5 units up

There is no reflection about x axis or any vertical compression

Hence, the transformation from f(x) to g(x) is horizontal shift 3 units right and vertical shift 5 units up

The complete question is.

Describe the transformation from f(x) of g(x) where f(x) = |x| and g(x) = |x-3| + 5.

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[tex](\stackrel{x_1}{-1}~,~\stackrel{y_1}{14})\qquad (\stackrel{x_2}{2}~,~\stackrel{y_2}{r}) \hspace{5em} \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{r}-\stackrel{y1}{14}}}{\underset{run} {\underset{x_2}{2}-\underset{x_1}{(-1)}}} ~~ = ~~\stackrel{\stackrel{\textit{\small slope}}{\downarrow }}{-2} \\\\\\ \cfrac{r-14}{2+1}=-2\implies \cfrac{r-14}{3}=-2\implies r-14=-6\implies r=8[/tex]

Answer:

19

Step-by-step explanation:

P.E.M.D.A.S

2X8=16

15/5= 3

Answer:

27

Step-by-step explanation:

1) Write it out using operations

2) Organise it into PEMDAS

P: There are no brackets

E: There are no exponents (powers)

M: We need to put  2 × 8 in brackets (to make sure we know what to do first

D: We need to put 15 ÷ 5 in brackets

A&S: As the numbers we need to add and subtract will be part of the brackets we can move on!

3) Solve!

First we need to do the brackets

Then the rest

Hope this helps, have a great day!!

The cone can hold 8π [tex]cm^{3}[/tex] of ice cream or volume of cone is 8π [tex]cm^{3}[/tex]  .

According to the question,

We have the following information:

Finn is filling up an ice cream cone with a diameter of 4 cm. And the height of the cone is 6 cm.

Diameter is twice that of the radius.

Radius of the cone = 4/2

Radius of the cone = 2 cm

We know that following formula is used to find the volume of the cone:

π[tex]r^{2} h[/tex]/3

Putting the value of r and h in this formula:

π*2*2*6/3

8π [tex]cm^{3}[/tex]

Hence, the cone can hold 8π [tex]cm^{3}[/tex] of ice cream.

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Answer:

the conversion factor

Step-by-step explanation:

The sampling distributions are used for statistical tets.

Hence,The sampling distributions are used for statistical tets.

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The number of tickets sold at a regular price is 20.

The linear equation:

an algebraic equation of the form y=mx + b. involving only a constant and a first-order (linear) term, where m is the slope and b is the y-intercept.

Let x be the number of regular admission and y be the number of students.

The first statement is 48 tickets are sold. By this we get the first equation:

x + y = 48 ----------(1)

The second statement is the total collection for the ticket is $300. Form this we get the second equation:

8x + 5y = 300 --------(2)

Multiplying the equation by 5 we have:

5x + 5y = 240 --------(3)

Now subtracting equation (3) from (2) we get:

3x = 60

x = 20

Therefore we get that the ticket sold at regular price is 20.

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The graph of f(x) = 3x + 4 and h(x) = f(x + 3) are attached.

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

A linear function is represented as:

y = mx + b

Where m is the slope (rate of change) and b is the initial value of y.

f(x) = 3x + 4

h(x) = f(x + 3) = 3(x + 3) + 4 = 3x + 9 + 4

h(x) = 3x + 13

The graph of f(x) = 3x + 4 have a slope of 3 and y intercept of 4, while the graph of h(x) = f(x + 3) have a slope of 3 and y intercept of 13.

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Answer:

A and D

Step-by-step explanation:

|3x + 4| − 9 = 0

|3x + 4| = 9

3x+4 = 9 v 3x+4 = -9

3x=5 v 3x=-13

x=⁵/₃ v x=-¹³/₃

x=1 ²/₃ v x=-4¹/₃

Answer:

(0,15) The time it take to fill the ball with air

Step-by-step explanation:

On edge 2022

Answer:

0

Step-by-step explanation:

The y -axis intercept  also called the y intercept occurs when x = 0

y = 4/3 x    put in x = 0

y = 4/3 (0) = 0

Answer:

The y-intercept is 0.

Step-by-step explanation:

The y-intercept is where the graph meets the y-axis.

The equation for the logarithmic function that has the following transformation from the parent logarithmic function. The other factors are mentioned in the answer below.

An essential tool for arithmetic calculations is the logarithmic function. John Napier, a Scottish mathematician, physicist, and astronomer, made the discovery of logarithms in the 16th century. It has a wide range of uses in complex scientific and astronomical calculations. Exponential functions and logarithmic curves are closely related, and the latter is thought of as the inverse of the former.

Parent function is y = log x

1. Shifted 3 units left,

y = log (x+3)

2. The vertical compression by a factor of 2,

y = 2 log(x+3)

3. Reflection across the y-axis,

y = 2 log(-x+3)

4. Shifting down by 5 units,

y = 2 log(-x+3)-5

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Answer:

293,000.

Step-by-step explanation:

Just round to the nearest thousandth, and add 500 since you originally had 292,500.

Answer:

Step-by-step explanation:

292500 to the nearest 1000 is 293000.

Answer:

y=-1,5x+17

Step-by-step explanation:

(10,2) => x=10, y=2

a - slope

a=-1,5

y=ax+b -linear equation

2=(-1,5)*10+b

2=-15+b

b=17

y=-1,5x+17

Answer:

Step-by-step explanation:

If the car's speed is 65 kilometers per hour, if it possible that the bus speed 75 kilometers per hour it is not possible.

Distance is a numerical representation of the distance between two items or locations. Distance refers to a physical length or an approximation based on other physics or common usage considerations.

It is given that:

if the car's speed is 65 kilometers per hour, if it possible that the bus speed 75 kilometers per hour

Time = 2 hours

Distance = speed x time

Distance(for car ) = (65)(2) = 130 km

Distance(for bus ) = (75)(2) = 150 km

Total distance = 130 + 150 = 280 km

But the distance between car and bus is 350 km.

Thus, if the car's speed is 65 kilometers per hour if it possible that the bus speed 75 kilometers per hour it is not possible.

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The measure, x, which is of one of the base angles of the isosceles triangle in the question is 71°

The value of x is 71°

An isosceles triangle is a triangle that has congruent base angles

The description of the specified triangle mare as follows;

The length of the sides are;

21 and 21

Therefore;

The triangle is an isosceles triangle

The base angles of an isosceles triangle are congruent, therefore;

The measure of the  angle adjacent the angle x is also m∠x

Which indicates;

38° + x° + x° = 180° (Angle sum property of a triangle)

38° + 2·x°  = 180°

2·x° = 180° - 38° =  142°

x = 142° ÷ 2 = 71°

x = 71°

The measure of the angle x is 71°

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The area of the square is increasing at a rate of 36 cm/s2.

What is the rate of expansion of a solid?

For physics, The term "thermal expansion" refers to a material's change in length, width, height, or volume when its temperature is raised or lowered. Solids exhibit particularly noticeable thermal expansion due to their closely packed atoms. There are numerous uses for the thermal expansion of solids in daily life.

A solid's atoms vibrate more quickly around their fixed positions when it is heated. As a result, there is little relative growth in the size of solids during heating. In order to prevent buckling when exposed to heat from the sun, metal train tracks feature tiny gaps.

Calculation

L = length of a side

A = L2

dA/dt = 2L dL/dt

dL/dt = 2 cm/s

A = 81 sqcm ⇒ L = √A = √81 cm = 9 cm

dA/dt = 2(9cm)(2 cm/s) = 36 sqcm

Hence the rate is the area of the square increasing is 36sqcm

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Using the rate of change of area ,

If the area of a square is 81 cm² the area of the square increases at a rate of 36 cm²/s.

Suppose that initially there were no squares, but suddenly squares began to form at a constant rate. At the end of the first second, the sides were 2 cm long each, and at the end of the second second they were 4 cm each. Therefore, we can say that the rate of change of increasing sides is 2 cm/s. If a square has a side of S cm, this is expressed mathematically.

dS/dt = 2 cm/s ---(1)

Since we know the area of the square is given by

A=S² cm²

the derivative of the area function shows the variation of area with respect to side S

dA/dS=2S

So , when area of square is 81 cm² , its side length is 9 cm. Since we need rate of change of area w.r.t. time, we need to multiply both the sides by dS/dt .

dA/dS×dS/dt=2S×dS/dt

=> dA/dt=2S×dS/dt

=> dA/dt = 2×9 ×2 = 36 cm²/s

Hence, the required area increasing rate is 36 cm²/s.

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From the given exponential function  y = 7.1(1.03)ˣ, the amount produced in 2006 was approximately 7.8 billion pounds and the estimated amount in 2014 will be approximately 9.8 billion pounds

An exponential function is a function of form f (x) = ax, where “x” is a variable and “a” is a constant which is called the base of the function and it should be greater than 0.

In the function given;

y = 7.1(1.03)ˣ

a) What is the estimated number in 2006

x in 2006 = 3

x = 3

Insert the values into the formula above;

y = 7.1(1.03)³

y = 7.76 ≅ 7.8 billion pounds

b)

The cheese produced in 2014

x in 2014 = 11

Insert in the value and solve

y = 7.1(1.03)¹¹

y = 9.83 ≅ 9.8 billion pounds

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Answer:

One solution which is x = 2

Step-by-step explanation:

Equations like these most often won't have more than one solution unless they are the exact same equation.

If the equation was x + 1 = x + 1, it would have infinitely many solutions because both sides are the same.

Equations with absolute value and quadratic equations most often have 2 solutions have there is a negative answer and a positive answer.

5/36 is the probability  that the sum will be bigger than 9, and 9/36 is the likelihood that the number will be divisible by either 5 or 6.

Probability refers to potential. A random event's occurrence is the subject of this area of mathematics. The range of the value is 0 to 1. Probability has been incorporated into mathematics to predict the likelihood of different events.

Mathematics' study of random events is known as probability, and there are four primary types of probability: axiomatic, classical, empirical, and subjective. Since probability is the same as possibility, you could say that it is the likelihood that a specific event will occur.

Given ,

It may take the following forms:

(4,6),(5,5),(5,6),(6,5),(6,6)

The likelihood that the total exceeds 9 is 1/36+1/36+1/36+1/36+1/36

=5/36.

B) It can occur in the following ways:

(1,4),(4,1),(3,3),(3,2),(4,2),(5,1),(1,5),(6,4),(4,6)

the probability that the number is getting divisible by 5 or 6 or both is

1/36 +8 times

=9/36

Hence the probabilities are5/36 and 9/36.

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None of the two graphs in this problem represents proportional relationships, as pairs of (input,output) have different ratios in each case.

A proportional relationship is modeled as follows:

y = kx.

Then the constant is given by:

k = y/x.

A relationship will be proportional only if for all points of the relationship, the constant k assumes the same value.

Two points of the relation between height and days are:

(30,10) and (50,20).

The constants are:

Different constants, hence not proportional.

For the second graph, the different constants are 2/2 and 2/3, as the two points of the second graph on the image at the end of the answer are:

(2,2) and (2,3).

The image presented at the end of the answer give the two graphs in which we verify if they are proportional or not.

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Answer:

15.4

Step-by-step explanation:

Round: 17.98 to 18 and 2.596 to 2.6

Do the math: 18-2.6=15.4

Conclusion: We rounded the numbers (17.98 to 18 and 2.596 to 2.6). Then we did the subtraction and got our answer.

Therefore, your answer is 15.4.

The value of the longest of the four side lengths is 26 feet.

Let the integers be x, x + 2, x + 4 and x + 6.

Since the perimeter is given as 92 feet. This will be:

x + x + 2 + x + 4 + x + 6 = 92

4x + 12 = 92

Collect like terms

4x = 92 - 12

4x = 80

Divide

x = 80 / 4

x = 20

The longest side will be:

= x + 6.

= 20 + 6.

= 26 feet.

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Answer:

20xy^2 + 15x^2 + 10x

Step-by-step explanation:

An equation that goes through the given points is  [tex]y=3x^{2} +3x-36.[/tex]

What is the parabola equation?

A parabola is a graph of a quadratic function. An equation of a curve that has a point on it that is equally spaced from a fixed point and a fixed line is referred to as a parabola. The parabola's fixed line and fixed point are together referred to as the directrix and focus, respectively.

Given points are (-4,0), (3,0), and (2,-18).

The equation of a parabola is [tex]y = \frac{1}{4 \left(f - k\right)} \left(x - h\right)^{2}[/tex]

Since the point (−4,0) lies on the parabola, then [tex]0 = \frac{1}{4 \left(f - k\right)} \left(-4 - h\right)^{2} + k[/tex]

Since point (3,0) lies on the parabola, then [tex]0 = \frac{1}{4 \left(f - k\right)} \left(3 - h\right)^{2} + k[/tex]

Since point (2,−18) lies on the parabola, then [tex]-18 = \frac{1}{4 \left(f - k\right)} \left(2 - h\right)^{2} + k[/tex]

Solving the above all three systems, we get that [tex]h= -\frac{1}{2} , k = - \frac{147}{4}, f = -\frac{110}{3}[/tex]

Substituting the above value in the equation of a parabola, we get

The standard form is  [tex]y=3x^{2} +3x-36.[/tex]

Hence, the required equation is [tex]y=3x^{2} +3x-36.[/tex]

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Answer:

9

Step-by-step explanation:

3 x 3 = 9

4 x 4 = 16

16 - 11 = 5

11 - 9 = 2

2 is less than 5 which makes it closer to 11.

Answer:

Ans = 9

Step-by-step explanation:

3 x 3 =9

4 x 4 =16

2 x 2 =4