Kennan bought 2.5 pounds of grapes at the grocery store for $0.98 per pound. How much did Kennan spend on grapes?

The capacity of the given container is 6.3 liters.

So, 4(3/5) + 1(7/10):

Therefore, the capacity of the given container is 6.3 liters.

Know more about Mathematical operations here:

https://brainly.com/question/22354874

#SPJ9

Step-by-step explanation:

5x - 4 = 2x + 6 × x

-----> 5x-3x = 6 + 4

-----> 2x = 10

----> x = 5

Answer: No

Step-by-step explanation:

1 divided by 6 would be 16 and 4/6. So you would have to multiply 16 and 4/6 by 5, add them together, and then divide by 10 to get the decimal. 16 * 5 = 80. 4/6 * 5 = 20/6. 80/10 = 8. 20/6 divided by 10 = 10/6. 8+10/6 is not equal to .832

Answer:

\(\sf V=\dfrac18\: \sf yd^3\)

Step-by-step explanation:

Volume of a cube formula

\(\sf V=s^3\)

where:

Given:

\(\sf \implies V=\left(\dfrac12\right)^3\)

Apply exponent rule \((\frac{a}{b})^c=\dfrac{a^c}{b^c}\)

\(\sf \implies V=\dfrac{1^3}{2^3}\)

\(\sf \implies V=\dfrac18\: \sf yd^3\)

Volume:-

Answer:

Step-by-step explanation:

Using the inverse of the function from the table, the value of f⁻¹(4) is 107/3

The inverse of a function is a new function that "undoes" the original function. It reverses the mapping of inputs and outputs, allowing you to find the original input value when you know the output value.

In this problem, we have to use the table to find the original function which is f(x) and use it to find the inverse of the function;

Taking two points from the table;

m = y₂ - y₁ / x₂ - x₁

m = 0 - (-3) / -9 - (-11)

m = 3 / 20

Using the slope and one point on the table;

y = mx + x

-3 = 3/20(-11) + c

-3 = -1.65 + c

c = -3 + 1.65

c = -1.35

Putting the slope and y - intercept together;

y = 3/20x - 1.35

y = 3/20x - 27/20

f(x) = 3/20x - 27/20

Taking the inverse of the function;

f⁻¹(x) = (20x + 27)/3

To find the value of f⁻¹(4), we just need to substituting the value of x in the function;

f⁻¹(4) = (20(4) + 27)/3

f⁻¹(4) = 107/3

Learn more on inverse of a function here;

https://brainly.com/question/3831584

#SPJ1

Answer:

1 adult ticket and 7 student tickets were purchased

Step-by-step explanation:

let a represent number of adult tickets purchased and s the number of student tickets purchased, then

a + s = 8 ( subtract s from both sides )

a = 8 - s → (1) ← based on total tickets purchased

10.5a + 7.25s = 61.25 → (2) ← based on cost of tickets

substitute a = 8 - s into (2)

10.5(8 - s) + 7.25s = 61.25

84 - 10.5s + 7.25s = 61.25

84 - 3.25s = 61.25 ( subtract 84 from both sides )

- 3.25s = - 22.75 ( divide both sides by - 3.25 )

s = 7

substitute s = 7 into (1)

a = 8 - 7 = 1

that is 1 adult ticket and 7 student tickets were purchased

By trigonometric solution of triangles we conclude that the actor is staying at the balcony of the second floor.

This problem presents an application of trigonometric resolution of triangles to find the floor where the actor is in terms of the height of the building. Based on the picture seen in the image, we find that all known dimensions of the triangle , three angles and a side, are:

A = 140°, B = 30°, C = 10°, p = 6 m    

First, we must find the length of side AP by law of sines:

b / sin 30° = 6 / sin 10°

b = 6 × sin 30° / sin 10°

b ≈ 17.276 m

Second, the height of the building is found by trigonometric functions:

h = (17.276 m) · sin 40°

h ≈ 11.105 m

Therefore, the floor where the actor stays is:

3.8 + 3 · n = 11.105

3 · n = 7.305

n = 2.435

n = 2

By trigonometric solution of triangles we conclude that the actor is staying at the balcony of the second floor.

To learn more on trigonometric functions: https://brainly.com/question/14746686

#SPJ1

Answer:

The area of the surface over R is \(\mathbf{ 2 \sqrt{17} + \dfrac{1}{2} \ In ( \sqrt{17} +4)}\)

Step-by-step explanation:

From this study,

The surface area of f(x,y) is expressed by:

\(A = \iint_R \sqrt{1 +f^2_x+f^2_y}} \ dA\)

where

\(0 \leq x \leq 2 \ and \ 0 \leq y \leq 2\)

Given that:

f(x,y) = 9 - x²

Thus, \(f_x = -2x\) and   \(f_y = 0\)

However, the area becomes:

\(A = \iint_R \sqrt{1+(-2x)^2+0^2} \ dxdy\)

\(A = \iint_R \sqrt{1+4x^2} \ dxdy\)

From above, replacing x with \(\dfrac{1}{2} \ tan \ u\)

then \(dx = \dfrac{1}{2} sec^2 \ udu\)

∴

\(\sqrt{1 + 4x^2 } \ dA= \dfrac{1}{2} \iint \sqrt{1 + 4u^2 } \ sec^2 \ udu\)

\(\sqrt{1 + 4x^2 } \ dA= \dfrac{1}{2} \iint sec^2 \ udu\)

\(\sqrt{1 + 4x^2 } \ dA= \dfrac{1}{2} ( \sqrt{4x^2 + 1x} + \dfrac{1}{2} In \sqrt{4x^2 + 1}+2x)\)

Hence;

\(\mathsf{A = \int \limits ^2_0 \begin {bmatrix} \dfrac{1}{2}(\sqrt{4x^2 +1 x}+ \dfrac{1}{2} In ( \sqrt{4x^2+1}+2x \end {bmatrix}^2_0 \ dy}\)

\(\mathbf{A = 2 \sqrt{17} + \dfrac{1}{2} \ In ( \sqrt{17} +4)}\)

Therefore, the area of the surface over R is \(\mathbf{ 2 \sqrt{17} + \dfrac{1}{2} \ In ( \sqrt{17} +4)}\)

Answer:

x ≈ 24.4

Step-by-step explanation:

Since the 2 legs of the triangle are congruent, both 26, then the triangle is isosceles.

The line segment x is a perpendicular bisector and divides the isosceles triangle into 2 congruent right triangles, with base 18 ÷ 2 = 9

Using Pythagoras' identity in either of the 2 right triangles, then

x² + 9² = 26² , that is

x² + 81 = 676 ( subtract 81 from both sides )

x² = 595 ( take the square root of both sides )

x = \(\sqrt{595}\) ≈ 24.4 ( to the nearest tenth )

Three sets of two-thirds can be created since each whole produces a two-thirds and one half of another two-thirds.

The number 0.666 is 2/3 in decimal notation.Consequently, there are a total of 5 components to distribute. (2+3=5) Consequently, you divide the value you want to share by five.Consequently, there are a total of 5 components to distribute. 2 + 3 = 5, therefore you divide the value you want to distribute by 5.

The two most frequent splits are 2-for-1 and 3-for-1, meaning that a stockholder receives two or three shares, respectively, for each share they currently own. When a corporation divides the number of shares that stockholders own, the market price rises in proportion.

Sixteen twenty-fourths (16/24) is a fraction that is equal to two thirds (2/3).

He cut the soap into two equal pieces, making it weigh 0.333333333 pounds.

To learn more about soap weigh refer to :

https://brainly.com/question/11996329

#SPJ1

Answer:

c. Fence posts with a cost of $10 would sell for how much?

Step-by-step explanation:

For constant A to be -4 (option 1) the system of equations have exactly one real solution.

NOTE: We are working with the problem statement: Y=-3 Y=Ax2+4x-4 In the system of equations above, a is constant. For which of the following values of a does the system of equations have exactly one real solution?

We have given, y=-3

y= Ax^2+4x-4

Therefore, -3= Ax^2+4x-4

or, Ax^2+4x-1=0

For second order equation of ax^2+bx+c=0 have a solution for

x= [-b± (√b^2-4ac)]/2a]   [Ax2 + Bx + C = 0 is the Sridharacharya equation, where a, b, and c are real values and a 0. The Sridharacharya formula, which is stated as x = (-b (b2 - 4ac)) / 2a, provides the answer to the Sridharacharya equation.]

For single solution b^2-4ac=0

here, Ax^2+4x-1=0

4^2 - 4a(-1)=0

16+4a=0

a= -(16)/4

a= -4

option A is correct .

For more quadratic equation problem here:

https://brainly.com/question/1863222#

#SPJ4

This is only true equation when A is equal to -2. Therefore, the correct answer is B) -2.

B) -2

The given system of equations can be written as:

Y = A*x^2 + 4*x - 4

We can solve this equation by using the Quadratic Formula. The Quadratic Formula states that the solutions to the equation are given by:

x = [-b +/- sqrt(b^2-4ac)]/2a

where a, b, and c are the coefficients of the equation. In this case, a = A, b = 4, and c = -4.

Substituting these values into the equation, we get:

x = [-4 +/- sqrt(4^2-4*A*(-4))]/2A

Simplifying this, we get:

x = [-4 +/- sqrt(16 + 16A)]/2A

For the system of equations to have two real solutions, the value of the square root must be greater than or equal to zero. This means that 16 + 16A must be greater than or equal to zero.

This is only true when A is equal to -2. Therefore, the correct answer is B) -2.

Learn more about equation here

https://brainly.com/question/29657992

#SPJ4

Using proportions, it is found that:

A proportion is a fraction of total amount, and the measures are related using a rule of three.

For 40 servings:

The rule of three is:

1 oz yeast - 200 oz flour

0.35 oz yeast - x oz flour.

Applying cross multiplication:

\(x = 200(0.35) = 70\)

70 ounces of flour are needed for 40 servings of bread and using 0.35 oz of yeast.

For 90 servings:

The rule of three is:

1 oz yeast - 180 oz flour

x oz yeast - 360 oz flour.

Applying cross multiplication:

\(2x = 360\)

\(x = \frac{360}{2}\)

\(x = 180\)

180 ounces of yeast are needed for the 90 servings of bread using 360 oz of flour.

You can learn more about proportions at https://brainly.com/question/24372153

I'm going to assume the "x" goes after "-1/3"

f(-3) = -1/3(-3) + 13

f(-3) = 1 + 13

f(-3) = 14

Best of Luck!

Answer:

Step-by-step explanation:

The answer is A U just did that on Khan academy

Answer: A

Step-by-step explanation:

The spherical coordinates of the given rectangular coordinates are (10, 0, 60).

The cartesian coordinate or rectangular coordinates describes the location of a point in space using an ordered triple where each coordinate represents a distance. The spherical coordinate system describes the location of a point in space using an ordered triple where coordinate describes one distance and two angles. In the spherical coordinate system, a point is represented by the ordered triple (ρ, θ, φ).

The equations which are used to convert from rectangular coordinates to spherical coordinates are:

ρ^2=x^2+y^2+z^2

tan⁡〖θ= y/x〗

φ=arccos⁡〖z/√(x^2+y^2+z^2 )〗

The given rectangular coordinates are (5√3, 0, 5). Hence,

ρ^2=〖(5√3)〗^2+0^2+5^2 ≈ 100

ρ ≈ √100 ≈ 10

tan⁡〖θ= 0/(5√3)=0〗

θ=  tan^(-1)⁡0=0

φ=arccos⁡〖5/√(〖(5√3)〗^2+0^2+5^2 )〗= arccos 5/10=arccos⁡0.5 ≈ 60

Note:  The question is incomplete. The complete question probably is: Convert from rectangular to spherical coordinates. (Use symbolic notation and fractions where needed. Give your answer as a point's coordinates in the form (*,*,*). (5√3, 0, 5)

Learn more about Spherical coordinates:

https://brainly.com/question/4465072

#SPJ4

The angle in degrees is 873.1843.

Let the measure of the angle be θ in degrees. Therefore, the measure of the same angle in gradians is (θ × π/180).

According to the given information, the number of degrees of a certain angle added to the number of gradians of the same angle is 152.(θ) + (θ × π/180) = 152.

Simplifying the above equation, we get:(θ) + (θ/180 × π) = 152.

Multiplying both sides of the equation by 180/π, we get:

θ + θ = (152 × 180)/π2θ = (152 × 180)/πθ = (152 × 180)/(3.14)θ = 873.1843

Thus, the angle in degrees is 873.1843.

For more such questions on angle, click on:

https://brainly.com/question/25770607

#SPJ8

Answer:7x + 80

Step-by-step explanation :simplify the expression

Answer:

d

Step-by-step explanation:

You are asking a question trying to suggest whether it can be done later

Answer : Hello It Is 42

Explanation : (82 - 40 = 42)

The given expression is \(82-2^3\times 5\). This expression equals 42.

Mathematically, an expression is a combination of numbers, variables, operations, and functions that are combined according to specific rules to represent a mathematical computation or relationship. It can be thought of as a mathematical phrase or formula.

By combining numbers, variables, operators, and functions, mathematical expressions can represent a wide range of computations and relationships.

Expressions are fundamental in mathematics as they allow us to represent and manipulate mathematical concepts, solve equations, evaluate formulae, and analyze mathematical relationships. They are used in various areas of mathematics, including algebra, calculus, geometry, and more.

The given expression is \(82-2^3\times 5\).

\(82-2^3\times 5\) = 82 - 8 \(\times\) 5

                 = 82 - 40

                 = 42.

So, the solution of the given expression is 42.

Learn more about Expressions here:

https://brainly.com/question/34132400

#SPJ6

You need to multiply by 5 instead of 6 because each pair of opposite faces on a cuboid has the same area, so by considering one face from each pair, you ensure that you don't count any face twice.

When calculating the total surface area of a cuboid, you need to understand the concept of face pairs.

A cuboid has six faces, but each face has a pair that is identical in size and shape.

Let's break down the reasoning behind multiplying by 5 instead of 6 in the given scenario.

To find the surface area of a cuboid, you can add up the areas of all its faces.

However, each pair of opposite faces has the same area, so you avoid double-counting by only considering one face from each pair. In this case, you have five pairs of faces:

(1) top and bottom, (2) front and back, (3) left and right, (4) left and back, and (5) right and front.

By multiplying the average area of a pair of faces by 5, you account for all the distinct face pairs.

Essentially, you are considering one face from each pair and then summing their areas.

Since all the pairs have the same area, multiplying the average area by 5 gives you the total surface area.

When dividing 150 by 4 (to find the average area of a pair of faces), you are essentially finding the area of a single face.

Then, by multiplying this average area by 5, you ensure that you account for all five pairs of faces, providing the total surface area of the cuboid.

Thus, multiplying by 5 is necessary to correctly calculate the total surface area of the cuboid by accounting for the face pairs while avoiding double-counting.

For similar question on cuboid.

https://brainly.com/question/29568631  

#SPJ8

Answer:

BOTH THE QUESTIONS ARE SAME!!

When finding a perpendicular slope, you need to change the signs and flip the reciprocal

The answer to your question is:

m = -2

Answer:

Yes

Step-by-step explanation:

Number 1 isnt asking a question.

2. If you divide 108/150= 0.72%

That is 18% percent off from what they claim which is quite a bit. Im not sure what is considered the "close enough" percentage but 18 is definitely more.

Answer:

number 2

Step-by-step explanation:

A cougar did not attack to the victim.ibthinj this is answer

Answer:

x = 7

Step-by-step explanation:

\(3+16x = 6x+8+65\\3+16x=6x+73\\10x=70\\x=7\)

If we restrict the domain of the function to the portion of the graph with a positive slope, the domain of the inverse function will be the range of the original function for values of x greater than 4, and its range will be all real numbers greater than or equal to 4.

The given function f(x) = |x – 4| + 6 is a piecewise function that contains an absolute value. The absolute value function has a V-shaped graph, and the slope of the graph changes at the point where the absolute value function changes sign. In this case, that point is x=4.

If we restrict the domain of f(x) to the portion of the graph with a positive slope, we are essentially considering the piece of the graph to the right of x=4. This means that x is greater than 4, or x>4.

The domain of the inverse function, f⁻¹(x), will be the range of the original function f(x) for values of x greater than 4. This is because the inverse function reflects the original function over the line y=x. So, if we restrict the domain of f(x) to values greater than 4, the reflected section of the graph will be the range of f⁻¹(x).

The range of f(x) is all real numbers greater than or equal to 6 because the absolute value function always produces a positive or zero value and when x is greater than or equal to 4, we add 6 to that value. The range of f⁻¹(x) will be all real numbers greater than or equal to 4, as this is the domain of the reflected section of the graph.

for more such questions on domain

https://brainly.com/question/2264373

#SPJ8

The given  expression √(a³-7)+ | b |, when a = 2 and b = -4, the value of the expression is, 5

An expression is a sentence with at least two numbers or variables having mathematical operation. Math operations can be addition, subtraction, multiplication, division.

For example, 2x+3

Given that,

The expression,

√(a³-7) + | b |

where, a = 2

b = -4

Now, by putting values of a and b in the given equation,

⇒ √(a³-7) + | b |

⇒ √(2³-7) + | -4 |

For whatever value of x, |x| will give always positive value

So, now it can be further written as,

⇒   1  + 4

⇒   5

Hence, the value is 5

To know more about Expressions check:

brainly.com/question/16804733

#SPJ1

Answer:

12 is 50% of 24

7 is 20% of 35

9 is 10% of 90

20/60 is 33.33%