Create and solve a proportion: to find the cost of 4 hamburgers if 5 hamburgers cost $21.98.

Answer:

djekodoxlsksdiosoxx

Answer:

14 grrr pow pow pow zip

Step-by-step explanation:

she could have scored the 10 points in 302400 ways.

The given parameters are

n= total points =10

r1 =one-point free throw = 1

r2 = two-point field goals = 2

r3 =  three-point field goals = 3

The number of ways (k) she could have scored the points is:

k=(n!)/(r1!×r2!×r3!)

The factorial function is a mathematical formula represented by an exclamation mark "!".

k= 10!/(1!×2!×3!)

k= 3628800/(1×2×6)

k= 302400

so.. she could have scored the 10 points in 302400 ways.

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Answer:

Step-by-step explanation:

The probability of landing on the dark blue target is 2/5.

Probability is the ratio of required to the total possible outcomes of an event.

P(dark blue ) = 40/100

divide through by 20

P(dark blue ) = 2/5

Therefore, the probability of landing on target is 2/5

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A function's codomain is a subset of its range. Although it is not a true subset, it is conceivable for the range to be equal to the codomain, in which case it is also a subset of the codomain.

A set that includes all or a portion of another set's elements is known as a subset. For instance, because every even integer is also an integer, the set of even integers is a subset of the set of integers. A subset that contains some, but not all, of the members of another set is said to be a proper subset. Because it contains some, but not all, of the positive integers, the set of positive integers less than 10 is a valid subset of the set of positive integers.

A function's codomain is a subset of its range. Although it is not a true subset, it is conceivable for the range to be equal to the codomain, in which case it is also a subset of the codomain.

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Answer:

  (a)  twenty-eight ninths, square root of nineteen, cube root of eighty-eight

Step-by-step explanation:

When ordering a list of numbers by hand, it is convenient to convert them to the same form. Decimal equivalents are easily found using a calculator.

The attachment shows the ordering, least to greatest, to be ...

  \(\dfrac{28}{9}.\ \sqrt{19},\ \sqrt[3]{88}\)

__

Additional comment

We know that √19 > √16 = 4, and ∛88 > ∛64 = 4, so the fraction 28/9 will be the smallest. That leaves us to compare √19 and ∛88, both of which are near the same value between 4 and 5.

One way to do the comparison is to convert these to values that need to have the same root:

  √19 = 19^(1/2) = 19^(3/6) = sixthroot(19³)

  ∛88 = 88^(1/3) = 88^(2/6) = sixthroot(88²)

The roots will have the same ordering as 19³ and 88².

Of course, these values can be found easily using a calculator, as can the original roots. By hand, we might compute them as ...

  19³ = (20 -1)³ = 20³ -3(20²) +3(20) -1 = 8000 -1200 +60 -1 = 6859

  88² = (90 -2)² = 90² -2(2)(90) +2² = 8100 -360 +4 = 7744

Then the ordering is ...

  28/9 < 19³ < 88²   ⇒   28/9 < √19 < ∛88

Answer:

the ordering is

28/9 < 19³ < 88²   ⇒   28/9 < √19 < ∛88

Step-by-step explanation:

Answer:

\(2x^2 + x - 3\)

Step-by-step explanation:

We want to divide \(2x^4 - 3x^3 - 3x^2 + 7x - 3\) by \(x^2 - 2x + 1\)

To do the long division, divide each term by \(x^2\) and then subtract the product of the result and \(x^2 - 2x + 1\)  from the remaining part of the equation.

Whatever term/value you obtain from each step of the division is a part of the quotient.

When you reach 0, you have gotten to the end of the division.

Check the steps carefully and follow them below:

Step 1:

Divide \(2x^4\) by \(x^2\). You get \(2x^2\).

Step 2

Multiply \(2x^2\) by  \(x^2 - 2x + 1\)  and subtract from \(2x^4 - 3x^3 - 3x^2 + 7x - 3\):

 \(2x^4 - 3x^3 - 3x^2 + 7x - 3 - (2x^4 - 4x^3 + 2x^2)\) = \(x^3 - 5x^2 + 7x - 3\)

Step 3

Divide \(x^3\) by \(x^2\). You get x.

Step 4

Multiply x by  \(x^2 - 2x + 1\)  and subtract from  \(x^3 - 5x^2 + 7x - 3\):

\(x^3 - 5x^2 + 7x - 3 - (x^3 - 2x^2 + x) = -3x^2 +6x - 3\)

Step 5

Divide \(-3x^2\) by \(x^2\). You get -3

Step 6

Multiply -3 by \(x^2 - 2x + 1\)  and subtract from \(-3x^2 +6x - 3\):

\(-3x^2 +6x - 3 - (-3x^2 + 6x -3) = 0\)

From the three divisions, we got \(2x^2\), x and -3.

Therefore, the quotient is \(2x^2 + x - 3\).

The relationship between volume and radius is not linear.  If the radius of cone is 2 inches, the volume of the cone is about 25 cubic inches. So correct options are B and E.

A cone is a three-dimensional geometric shape that has a circular base and tapers to a point known as the apex or vertex. It is a type of pyramid with a circular base. A cone has one face that is curved, and the other face is a flat circle.

The height of the cone is the perpendicular distance from the base to the apex. The radius is the distance from the center of the circle to the edge of the base. The slant height of the cone is the distance from the vertex to any point on the base along a straight line that is tangent to the base.

The volume of a cone can be calculated using the formula V = (1/3)πr²h, where V is the volume, r is the radius, and h is the height. The surface area of a cone can be calculated using the formula A = πr² + πr√(r²+h²), where A is the surface area, r is the radius, and h is the height.

Cones can be found in many everyday objects such as ice cream cones, traffic cones, and party hats. They also have many practical applications in fields such as architecture, engineering, and mathematics.

The volume of cone is \(\frac{1}{3} h\pi r^{2}\)

where, h is the height

v is the volume

r is the radius

A. wrong

B. right

C. wrong , if the radius doubles , \(V=\frac{1}{3} h\pi r^{2}\\V'=\frac{1}{3} h\pi r^{2} * 4\)

V'= 4V

D. wrong

E. right, if radius is 2 inches,

   \(V=\frac{1}{3} h\pi r^{2}\)

= \(\frac{1}{3} *6 * \pi *4\)

=25.1328

=25 cubic inches.

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The complete question is:

There are a total of 4 + 3 + 2 + 1 = 10 marbles in the bag. The probability of picking a red marble is the number of red marbles divided by the total number of marbles:

Probability of picking a red marble = 4/10 = 2/5

Therefore, the probability Aisha picks a red marble is 2/5 or 0.4 when written as a decimal.

Answer:

C

Step-by-step explanation:

trust me c is the correct answer

Step-by-step explanation:

a. 23.5 × 27 = 634.5

b. 23.5 × 2.7 = 63.45

c. 2.35 × 0.27 = 0.6345

The property you are referring to is called the associative property of multiplication. According to this property, when multiplying three numbers, the grouping of the numbers does not affect the result. In other words, you can change the grouping of the factors without changing the product.

In the equation you provided: 3x(5x7) = (3x5)7

The associative property allows us to group the factors in different ways without changing the result. So, whether we multiply 5 and 7 first, or multiply 3 and 5 first, the final product will be the same.

Answer:

I believe it's 9 hope this helps

Since ∠BDA is an inscribed angle measuring 25°, the arc it intercepts, AB, must measure 50°. For the same reason, the arc intercepted by ∠BDA must measure 64°. That's a total of 114° out of the semicircle ABCD, which leaves 66° out of the 180° half-circle. That's the measure of arc BC.

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Since ∠BDA is an inscribed angle measuring 25°, the arc it intercepts, AB, must measure 50°. For the same reason, the arc intercepted by ∠BDA must measure 64°. That's a total of 114° out of the semicircle ABCD, which leaves 66° out of the 180° half-circle. That's the measure of arc BC.

Define measurement?

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The location of point A''' after the three transformations would be (-4, 1).

To determine the location of point A''', we need to apply the three transformations (reflection over the y-axis, reflection over the x-axis, and rotation of 180°) to point A.

When a point is reflected over the y-axis, the x-coordinate is negated while the y-coordinate remains the same.

So, the reflection of point A (-4, 1) over the y-axis would be (4, 1).

When a point is reflected over the x-axis, the y-coordinate is negated while the x-coordinate remains the same. So, the reflection of point (4, 1) over the x-axis would be (4, -1).

When a point is rotated 180°, the x-coordinate and y-coordinate are both negated. So, the rotation of point (4, -1) by 180° would be (-4, 1).

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Answer:

Alt Ext ∠s, Then

m∠4 = 105, m∠5 = 105

Step-by-step explanation:

m∠4 and m∠5 are alternate exterior angles. Alternate exterior angles are equal.

m∠4 = m∠5

30x + 45 = 60x - 15

45 + 15 = 60x - 30x

60 = 30x

x = 60 / 30

x = 2

m∠4 = 30x +45

= 30 ( 2 ) + 45

= 60 + 45

m∠4 = 105

m∠5 = 60x - 15

= 60 ( 2 ) - 15

= 120 - 15

m∠5 = 105

the answer is

\(y = 2.941463\)

which is closest to 3.

Answer:

x=4.875

Step-by-step explanation:

19.5=4x

19.5/4=4.875

x=4.875

Check:

4.875×4=19.5

Answer:

a) To solve the differential equation y''-2y'-3y= e^4x, we first find the characteristic equation:

r^2 - 2r - 3 = 0

Factoring, we get:

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

So the roots are r = 3 and r = -1.

The general solution to the homogeneous equation y'' - 2y' - 3y = 0 is:

y_h = c1e^3x + c2e^(-x)

To find the particular solution, we use the method of undetermined coefficients. Since e^4x is a solution to the homogeneous equation, we try a particular solution of the form:

y_p = Ae^4x

Taking the first and second derivatives of y_p, we get:

y_p' = 4Ae^4x

y_p'' = 16Ae^4x

Substituting these into the original differential equation, we get:

16Ae^4x - 8Ae^4x - 3Ae^4x = e^4x

Simplifying, we get:

5Ae^4x = e^4x

So:

A = 1/5

Therefore, the particular solution is:

y_p = (1/5)*e^4x

The general solution to the non-homogeneous equation is:

y = y_h + y_p

y = c1e^3x + c2e^(-x) + (1/5)*e^4x

b) To solve the differential equation y'' + y' - 2y = 3xe^x, we first find the characteristic equation:

r^2 + r - 2 = 0

Factoring, we get:

(r + 2)(r - 1) = 0

So the roots are r = -2 and r = 1.

The general solution to the homogeneous equation y'' + y' - 2y = 0 is:

y_h = c1e^(-2x) + c2e^x

To find the particular solution, we use the method of undetermined coefficients. Since 3xe^x is a solution to the homogeneous equation, we try a particular solution of the form:

y_p = (Ax + B)e^x

Taking the first and second derivatives of y_p, we get:

y_p' = Ae^x + (Ax + B)e^x

y_p'' = 2Ae^x + (Ax + B)e^x

Substituting these into the original differential equation, we get:

2Ae^x + (Ax + B)e^x + Ae^x + (Ax + B)e^x - 2(Ax + B)e^x = 3xe^x

Simplifying, we get:

3Ae^x = 3xe^x

So:

A = 1

Therefore, the particular solution is:

y_p = (x + B)e^x

Taking the derivative of y_p, we get:

y_p' = (x + 2 + B)e^x

Substituting back into the original differential equation, we get:

(x + 2 + B)e^x + (x + B)e^x - 2(x + B)e^x = 3xe^x

Simplifying, we get:

-xe^x - Be^x = 0

So:

B = -x

Therefore, the particular solution is:

y_p = xe^x

The general solution to the non-homogeneous equation is:

y = y_h + y_p

y = c1e^(-2x) + c2e^x + xe^x

c) To solve the differential equation y" - 9y' + 20y = x^2*e^4x, we first find the characteristic equation:

r^2 - 9r + 20 = 0

Factoring, we get:

(r - 5)(r - 4) = 0

So the roots are r = 5 and r = 4.

The general solution to the homogeneous equation y" - 9y' + 20y = 0 is:

y_h = c1e^4x + c2e^5x

To find the particular solution, we use the method of undetermined coefficients. Since x^2*e^4x is a solution to the homogeneous equation, we try a particular solution of the form:

y_p = (Ax^2 + Bx + C)e^4x

Taking the first and second derivatives of y_p, we get:

y_p' = (2Ax + B)e^4x + 4Axe^4x

y_p'' = 2Ae^4x +

Answer:

Step-by-step explanation:

The area of each triangle is one-half the area of the rectangle. So, the area A of a triangle is given by the formula A=12bh where b is the base and h is the height of the triangle.

The value of y in simplest form for the point P = (1/2, y) lying on the unit circle is y = ± √(3)/2.

To find the value of y in simplest form for the point P = (1/2, y) lying on the unit circle, we can use the equation of the unit circle, which states that for any point (x, y) on the unit circle, the following equation holds: x^2 + y^2 = 1.

Plugging in the coordinates of the point P = (1/2, y), we get:

(1/2)^2 + y^2 = 1

1/4 + y^2 = 1

y^2 = 1 - 1/4

y^2 = 3/4.

To simplify y^2 = 3/4, we take the square root of both sides:y = ± √(3/4).

Now, we need to simplify √(3/4). Since 3 and 4 share a common factor of 1, we can simplify further: y = ± √(3/4) = ± √(3)/√(4) = ± √(3)/2.

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Answer:

- 14

Step-by-step explanation:

Step 1:

- 0.5x - 3 = 4      Equation

Step 2:

- 0.5x = 7        Add 3 on both sides

Step 3:

x = 7 ÷ - 0.5      Divide

Answer:

x = - 14

Hope This Helps :)

Answer:

(a) If A is the area of a circle with radius and the circle expands as time passes, find dA/dt in terms of dr/dt (b) Suppose oil spills from a ruptured tanker and spreads in a circular pattern. If the radius of the oil spills increases at a constant rate of 1m/s, how fast is the area of the spill increasing when the radius is 30m

Answer:

The expression that can be used to approximate the expression "logax" for all positive numbers a, b, and x, where a=1 and b=1 is:

log1x = 0

The height of the building in consideration is 422.1 meters

You look straight parallel to ground. But when you have to watch something high, then you take your sight up by moving your head up. The angle from horizontal to the point where you stopped your head is called angle of elevation.

Given that the person watching the building's 86th floor is at A.

So, 86th floor is at C, the base of the building is at B.

The total height of the building is at D.

Using the tangent ratio to find the height of the building, we get:

Tan (82) = x / 49

x = 296.1

Thus, the height of the building is length of AD

= |AD| = x + 124 ≈ 296.1+ 128 = 422.1 meters

Thus, the height of the building in consideration is given approximately as 422.1 meters

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The Total length of two sides based on the information will be 7x²+2x+1

The Length of the third side will be 4 x³-10x²-7.

Total length of two sides= Side 1 + Side 2

= 8x² − 5x − 2+ 7x − x²+ 3

= 8x²-x²-5x+7x-2+3

= 7x²+2x+1

Length of the third side = Perimeter - Total length of two sides

Length of the third side=4x³ − 3x² + 2x − 6-(7x²+2x+1)

= 4x³ − 3x² + 2x − 6-7x²-2x-1

= 4 x³-10x²-7

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Answer:

qwertyuiopplkhgf12345678rrd6

Step-by-step explanation:

Preciate ittttttttttt

Answer: 3.29 divided by 9

Step-by-step explanation:

Divide the total dollar amount by the number of ounces to get the price per ounce.

Answer: 319.8 is your product to 2.4 × 102 + 7.6 × 10-1.

Answer:

2,523

Step-by-step explanation:

Answer:

the right answer would be 195

Answer:

195 sir

Step-by-step explanation:

did  the math dont copy mine