What is the total price of 3.2 pounds of apples at 80¢ per pound?

The values of f(x) for the given x - values rounded to 4 decimal places are 0.0078, 0.0078, 0.0020, 0.0020, 0.0019 and 0.0013 respectively

Given the function :

Substitute the given value of x to obtain the corresponding f(x) values :

x = -0.6

f(x) = (tanπ(-0.6))/7(-0.6) = 0.0078358

x = -0.51

f(x) = (tanπ(-0.51))/7(-0.51) = 0.0078350

x = -0.501

f(x) = (tanπ(-0.501))/7(-0.501) = 0.001967

x = -0.5

f(x) = (tanπ(-0.5))/7(-0.5) = 0.001959

x = -0.4999

f(x) = (tanπ(-0.4999))/7(-0.4999) = 0.001958

x = 0.499

f(x) = (tanπ(-0.499))/7(-0.499) = 0.001951

x = -0.49

f(x) = (tanπ(-0.49))/7(-0.49) = 0.00188

x = -0.4

f(x) = (tanπ(-0.4))/7(-0.4) = 0.00125

Therefore, values which complete the table are 0.0078, 0.0078, 0.0020, 0.0020, 0.0019 and 0.0013

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Answer:

(x+6)^2+(y-7)^2= 29

Step-by-step explanation:

general exqn-> (x-h)^2+(y-k)^2=(r)^2

here, h= -6 and k=7

r= √ 29

Therefore, exqn of circle=

(x+6)^2+(y-7)^2= 29

Answer:

(x + 6)² + (y - 7)² = 29

Step-by-step explanation:

the equation of a circle in standard form is

(x - h )² + (y - k )² = r²

where (h, k ) are the coordinates of the centre and r is the radius

here (h, k ) = (- 6, 7 ) and r = \(\sqrt{29}\) , then

(x - (- 6) )² + (y - 7)² = (\(\sqrt{29}\) )² , that is

(x + 6 )² + (y - 7 )² = 29

Answer:

x = -2

Step-by-step explanation:

liter, meter, and the last one is either gram or kilogram

The probability that if 5 tires are inspected, exactly 2 have a defect is 0.021

The given parameters are:

\(p = 5\%\) --- the proportion that contains defect

\(n =5\) --- the sample size

\(r =2\) -- the selected sample

The probability is then calculated as:

\(P(x =r) = ^nC_r * p^r * (1 - p)^{n-r}\)

So, we have:

\(P(x =2) = ^5C_2 * (5\%)^2 * (1 - 5\%)^{5-2}\)

\(P(x =2) = 10 * (5\%)^2 * (1 - 5\%)^3\)

\(P(x =2) = 0.021\)

Hence, the probability that if 5 tires are inspected, exactly 2 have a defect is 0.021

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Answer:

100%?

Step-by-step explanation:

Answer:

5 dimes and 16 nickels

Step-by-step explanation:

5 times 3 = 15 + 1 = 16

5 times 10 = 50 cents

16 times 5 = 80 cents

50 + 80 = 130 or $1.30

Answer:

Yes it goes in a straight line

Step-by-step explanation:

A graph of a function y = f(x) is symmetric with respect to the origin if replacing x by -x and y by -y yields the same function.  For y = 10x, if we replace x by -x and y by -y, we get -y = -10x, which simplifies to y = 10x.  Thus, the graph of y = 10x is symmetric with respect to the origin.

Linear functions are odd degree functions.  These type of functions do not have any symmetry with respect to the either axis.

However, the function       y=mx+b

where   m = ±1

           b = 0

does have symmetry with respect to the origin.

Answer:

If you mean 1.5 * 1.5^2 then the answers 3.375

Step-by-step explanation:

Answer:

Nioio

Step-by-step explanation:

For the given function, f  =  {(3, 9), (17, -9), (40, 9), (54, 3)}

  Domain of the given function will be

                           =  { 3, 17, 40, 54 }

  Range of the given function will be,

                            = { -9, 3, 9,}

Domain and Range of the function:

                                                             A function relates an input to an output, in simple word It is like a machine that has an input and an output.

                                                            For the given function y = f(x)

where x is input of the function and y is output of the function.

Domain are the value of x for which the function is defined.

Range are the value of y for its domain.

               Here (x, y) denotes

                                         x is input and y is output

Now for the given function,

                              f  =  {(3, 9), (17, -9), (40, 9), (54, 3)}

Domain of the given function will be

                           =  { 3, 17, 40, 54 }

Range of the given function will be,

                            = { -9, 3, 9}

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Answer:

2^4 x 5

Step-by-step explanation:

Step-by-step explanation:

I hope u understood it....

1) The probabilities are given as follows:

a) More than 75: 0.0301 = 3.01%.

b) Between 60 and 73: 0.4484 = 44.84%.

c) Less than 50: 0.1057 = 10.57%.

2) The proportion of students who fail the module is of: 0.0062 = 0.62%.

3) The measures are given as follows:

The z-score of a measure X of a variable that has mean symbolized by \(\mu\) and standard deviation symbolized by \(\sigma\) is obtained by the rule presented as follows:

\(Z = \frac{X - \mu}{\sigma}\)

The mean and the standard deviation in this problem are given as follows:

\(\mu = 60, \sigma = 8\)

The probability that an score is more then 75 is one subtracted by the p-value of Z when X = 75, hence:

Z = (75 - 60)/8

Z = 1.88

Z = 1.88 has a p-value of 0.9699.

1 - 0.9699 = 0.0301 = 3.01%.

The probability of an score between 60 and 73 is the p-valeu of Z when X = 73 subtracted by the p-value of Z when X = 60, hence:

Z = (73 - 60)/8

Z = 1.63

Z = 1.63 has a p-value of 0.9484.

Z = (60 - 60)/8

Z = 0

Z = 0 has a p-value of 0.5.

Then:

0.9484 - 0.5 = 0.4484 = 44.84%.

The probability of an score less than 50 is the p-value of Z when X = 50, hence:

Z = (50 - 60)/8

Z = -1.25

Z = -1.25 has a p-value of 0.1057.

The proportion who might fail the test is the p-value of Z when X = 40, hence:

Z = (40 - 60)/8

Z = -2.5

Z = -2.5 has a p-value of 0.0062.

Then the statistical measures are obtained as follows:

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Given:

Length of a rectangular piece of fabric, l = 24 inches

Width, w = 40 inches

Leanna folds the piece of fabric along its diagonal to form a triangular scarf.

To find:

The area of the triangular scarf.

Solution:

Area of the rectangular piece of fabric is

\(Area=length\times width\)

\(Area=24\times 40\)

\(Area=960\)

Area of rectangular piece of fabric is 96 sq. inches.

We know that diagonal of a rectangle divides the rectangle in two equal parts.

Leanna folds the piece of fabric along its diagonal to form a triangular scarf. So, area of triangular scarf is half of area of rectangular piece of fabric.

\(\text{Area of triangular scarf}=\dfrac{1}{2}\times 960\)

\(\text{Area of triangular scarf}=480\)

Therefore, the area of triangular scarf is 480 sq. inches.

Answer:

If two chords intersect in a circle, then the product of the segments of one chord equals the product of the segments of the other chord.

6(3x) = 4(4x + 1)

18x = 16x + 4

2x = 4

x = 2

Answer:

340=10*340 calculated

Answer:

340

Step-by-step explanation:

i know math alot

The integral distributes over the sum:

\(\displaystyle \int \left(4x^{\frac34} + 2x^{\frac34} + 4x^{\frac12} + 2x + 2\right) \, dx \\\\\\ = \int 4x^{\frac34} \, dx + \int 2x^{\frac34} \, dx + \int 4x^{\frac12} \, dx + \int 2x \, dx + \int 2 \, dx\)

Then just integrate each term using the power rule; if n ≠ -1, then

\(\displaystyle \int x^n \, dx = \frac{x^{n+1}}{n+1} + C\)

Then your integral is simply

\(\displaystyle \int \left(4x^{\frac34} + 2x^{\frac34} + 4x^{\frac12} + 2x + 2\right) \, dx \\\\\\ = \frac{4x^{\frac34+1}}{\frac34+1} + \frac{2x^{\frac34+1}}{\frac34+1} + \frac{4x^{\frac12+1}}{\frac12+1} + \frac{2x^2}2 + \frac{2x^1}1 + C \\\\\\ = \frac{16}7 x^{\frac74} + \frac87 x^{\frac74} + \frac83 x^{\frac32} + x^2 + 2x + C \\\\\\ = \boxed{\frac{24}7 x^{\frac74} + \frac83 x^{\frac32} + x^2 + 2x + C}\)

Answer:

hamburger =282 calories

soda=212 calories

Step-by-step explanation:

2h+5c=1624 ...............×3

3h+2c=1270 ................×2

use eliminate method: multiply the first equation by 3, and second one by 2 to eliminate h first:

6h+15c= 4872

6h+4c=2540

subtract the two equations

6h+15c-6h-4c=4872-2540

11c=2332

c=2332/11

c=212 calories in soda

substitute c in any equation to get h

2h+5c=1624

2h+5(212)=1624

2h=1624-1060

2h=564

h=564/2=282

h=282 calories

check :

2(282)+5(212)=

564+1060=1624

3h+2c=1270

3(282)+2(212)=1270

The area of the circle is 380.13271 in².

To find the area.

What is circle?

A circle is a closed two-dimensional figure in which the set of all the points in the plane is equidistant from a given point called center.

Given that:

Diameter =22 inch

The area of the circle is :

A=π\(r^{2}\)

d=\(2r\)

Solving for A

A= \(\frac{1}{4}\)π\(d^{2}\)

A=  \(\frac{1}{4}\)π\(22^{2}\)

A≈380.13271 in²

So, the area of the circle is 380.13271 in².

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Answer:

9.92 x 10⁷

Also, if you could label this brainliest that would be a great help!

Thanks xx 

-Dante

Answer:

Step-by-step explanation:

\((3.2*10^{5}})*(3.1*10^{2})=3.2*3.1* 10^{5+2}\\\\= 9.92*10^{7}\)

Answer:

100 gumdrops per person

Step-by-step explanation:

We know that there are 28 packages and each one has 25.  So just multiply 28 by 25 and you get 700 gumdrops in total.  Finally because there are seven friends in total you divide 700 by 7 and get 100 per person.

Answer:

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

Collinear points are the points on the same line.

There are two lines in the diagram.

The collinear points:

The points that are collinear are  D,G and E  and another set of points which are collinear are L,G and J.

The points which lie on the same straight line are known as collinear points.

Similarly, if three or more number of points are collinear then they form a straight line.

If we observe the figure, the points D,G and E are collinear points as they are on same line.

Similarly the points L, G and H are in the straight line which makes them collinear.

Therefore , the points L,G and J are collinear points.

Hence, the points that are collinear are  D,G and E and another set of points which are collinear are L,G and J

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The perimeter of triangle ABC could be either approximately 27.98 cm or approximately 14.66 cm, depending on the length of AB.

What is the perimeter?

The perimeter is a mathematical term that refers to the total distance around the outside of a two-dimensional shape. It is the length of the boundary or the sum of the lengths of all the sides of a closed figure.

Let's call the length of AB x and the length of BC y.

First, we can use the fact that CD is the height of the triangle to find the area of triangle ABC:

Area of triangle ABC = 1/2 * CD * AB

Substituting the given values, we have:

1/2 * 12 * x = 6x

So the area of triangle ABC is 6x square centimeters.

We can also use the fact that angle BCD is 30 degrees to set up a trigonometric equation involving x and y:

tan(30) = x/y

Simplifying, we get:

y = x/tan(30) = x/(1/√(3)) = √(3) * x

Now we can use the formula for the area of a triangle in terms of its sides:

Area of triangle ABC = 1/2 * AB * BC * sin(B)

where B is the angle between sides AB and BC. In this case, we know that angle BCD is 30 degrees, so angle BCA is 60 degrees, and angle ABC is 90 degrees. Therefore, we have:

Area of triangle ABC = 1/2 * x * √3 * x * sin(60)

Simplifying, we get:

Area of triangle ABC = 1/4 * √3 * x²

Since we already found that the area of triangle ABC is 6x square centimeters, we can set these two expressions equal to each other and solve for x:

6x = 1/4 * √(3) * x²

Multiplying both sides by 4/√3, we get:

24/√(3) * x = x²

Simplifying, we get:

x² - 24/√(3) * x = 0

Using the quadratic formula, we get:

x = (24/√(3) ± √((24/√(3))² - 410)) / 2*1

Simplifying, we get:

x = 16√(3) / 3 or x = 8 √(3) / 3

Since we are looking for the perimeter of triangle ABC, we need to find y as well. Using the equation we derived earlier, we have:

y = √(3) * x

Therefore, we have two possible triangles:

Triangle ABC1: AB = 16 √(3) / 3, BC = 16, and AC = 8 √7 / 3

Triangle ABC2: AB = 8 √3 / 3, BC = 8, and AC = 4 √7 / 3

The perimeter of each triangle is the sum of its side lengths. Therefore:

Perimeter of triangle ABC1 = 16 √3/ 3 + 16 + 8 √7 / 3 ≈ 27.98 cm

Perimeter of triangle ABC2 = 8 √3 / 3 + 8 + 4 √7 / 3 ≈ 14.66 cm

hence, the perimeter of triangle ABC could be either approximately 27.98 cm or approximately 14.66 cm, depending on the length of AB.

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Answer:

17 = 3x+8

Step-by-step explanation:

Answer: f(x)=(-6x-2)/3

Step-by-step explanation:

f(x)= 6x-2

f(x)= (6x-2)*1/3       ==>Vertical compression

f(x)=(6x-2)/3

f(x)=(6(-x)-2)/3      ==> reflection over y-axis is when x is being negated

f(x)=(-6x-2)/3

Answer:

Step-by-step explanation:

The equivalent exponential equations are given as follows:

\(2^{4x} = 2^{3(x - 3)}\)

The exponential expression for this problem is defined as follows:

\(2^{4x} = 8^{x - 3}\)

The number eight is the third power of 3, that is:

8 = 2³.

The power of a power rule is used when a single base is elevated to multiple exponents.

Then the simplified expression is obtained keeping the base, while the exponents are multiplied.

Meaning that the equivalent expression on the right side of the equality in this problem is given as follows:

\(8^{x - 3} = (2^3)^{x - 3} = 2^{3(x - 3)}\)

Meaning that the correct option is given by the fourth option.

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Answer:

$34.20

Step-by-step explanation:

\(1\frac{1}{2}\) loaves of bread is 18 loaves if bread. Multiply 18 by 1.90 you get 34.20.

Answer:

4483.1

Step-by-step explanation:

Helix shape of the metal fitting parameterized :

C(t) = (cos(t), sin(t), t )

This shows that:  x = cos(t), y = sin(t), z = t

density of the metal can be represented as

f (x(t), y(t), z(t) = 2z = 2t

To calculate the mass of the fitting an integral is generated below ( attached below is remaining part of the solution )

Answer:

It’s 2.07 pounds/in 3

Step-by-step explanation:

1 kilogram = 2.2 × pounds, so,2.07 × 1 kilogram = 2.07 × 2.2 pounds (rounded), or2.07 kilograms = 4.554 pounds.Step 2: Convert the decimal part in pounds to ouncesAn answer like "4.554 pounds" might not mean much to you because you may want to express the decimal part, which is in pounds, in ounces which is a smaller unit.So, take everything after the decimal point (0.55), then multiply that by 16 to turn it into ounces. This works because one pound equals 16 ounces. Thus,4.55 pounds = 4 + 0.55 pounds = 4 pounds + 0.55 × 16 ounces = 4 pounds + 8.8 ounces. So, 4.55 pounds = 4 pounds and 8 ounces (when rounded). Obviously, this is equivalent to 2.07 kilograms. Step 3: Convert from decimal ounces to a usable fraction of ounceThe previous step gave you the answer in decimal ounces (8.8), but how to express it as a fraction? See below a procedure, which can also be made using a calculator, to convert the decimal ounces to the nearest usable fraction: a) Subtract 8, the number of whole ounces, from 8.8:8.8 - 8 = 0.8. This is the fractional part of the value in ounces.b) Multiply 0.8 times 16 (it could be 2, 4, 8, 16, 32, 64, ... depending on the exactness you want) to get the number of 16th's ounces:0.8 × 16 = 12.8.c) Take the integer part int(12.8) = 13. This is the number of 16th's of a pound and also the numerator of the fraction.Finalmente, 2.07 quilogramas = 4 pounds 8 3/4 ounces.A fração 12/16 não está simplificada, e ainda pode ser reduzida para 3/4 para que possamos expressar como a fração mais simples possível.In short:2.07 kg = 4 pounds 8 3/4 ounces