A grocer has 2 kinds of tea, one that sells for $8.00 per pound and the other that sells for $6.00 per pound. How many pounds of each kind must he use to make 50 pounds of tea that will sell for $7.40 per pound?
Answer in _____ pounds of $8.00 tea and _____ pounds of $6.00 tea
ASAP-WILL MARK BRANLIEST!

the diameter to allow an elongation of 0. 38 mm therefore required diameter is 7.65 mm

Given the data in the question;

F = 11100 N

l₀ = 310 mm = 0.31 m

E = 207 GPa = 207 × 10⁹ N/m²

Δl = 0.38 mm = 0.0005 m

So, lets assume the deformation is elastic;

d₀ = √(  [4l₀F] / [πEΔl] )

we substitute

d₀ = √(  [4 × 0.38 × 11100] / [π × (207 × 10⁹) × 0.0005]] )

d₀ = √( 10123.2 / 172787595.947 )

d₀ = √( 5.85875 × 10⁻⁵ )

d₀ = 0.007654 m

d₀ = ( 0.007654 × 1000 )mm

d₀ = 7.65 mm

Therefore, required diameter is 7.65 mm

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jill is 24 years old.

The ratio of vina's age to jill is 7:6 .

      Let vina's age =7x

      let jill's age = 6x

If vina is 4 years older than jill.

Then ,                   7x - 6x = 4

                                  x = 4

Now  vina's age = 7x = 7 * 4 = 28 years

          jill's age = 6x = 6 * 4 = 24 years.

Therefore, jill is 24years old.

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Answer:

x = 107 , y = 60

Step-by-step explanation:

Each lower base angle is supplementary to the upper base angle on the same side, then

x + 73 = 180 ( subtract 73 from both sides )

x = 107

and

y + 2y = 180

3y = 180 ( divide both sides by 3 )

y = 60

7, 20 and 12 units cannot form a triangle.

15, 8 and 17 form a right angle triangle.

12, 10 and 8 can form a triangle.

The sum of the lengths of any two sides of a triangle is greater than the length of the third side.

Using the triangle inequality theorem,

7, 20 and 12 units cannot form a triangle because 7 + 12 is less than 20 units.

15, 8 and 17 can form a triangle. The triangle formed is a right angle triangle. A right tangle triangle is a triangle that has one of its angles as 90 degrees.

8² + 15² = 17²

64 + 225 = 289

12, 10 and 8 can form a triangle.

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The algebraic expression for the scenario is 15 + x = 60

From the question, we have the following parameters that can be used in our computation:

Amount saved up = $15

Cost of item = $60

Amount gifted by your grandma = x

The above parameters means that the mathematical statement is an equation statement

So, we have the following representation

Amount saved up + Amount gifted by your grandma = Cost of item

Substitute the known values in the above equation, so, we have the following representation

15 + x = 60

Hence, the algebraic expression is 15 + x = 60

The question does not require that the equation be solved

However, when it is solved, we have:

15 + x = 60

Subtract 15 from both sides

x = 45

So, the amount is 45

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The area of a rectangle with given length and width is 2t³+15t²+19t+6 square units.

The area occupied by a rectangle within its boundary is called the area of the rectangle. The formula to find the area of a rectangle is Area = Length × Breadth.

Given that, length of a rectangle =t²+7t+6 and width of rectangle =2t+1.

Here, area of a rectangle = (t²+7t+6)×(2t+1)

= t²(2t+1)+7t(2t+1)+6(2t+1)

= 2t³+t²+14t²+7t+12t+6

= 2t³+15t²+19t+6 square units

Therefore, area of a rectangle is 2t³+15t²+19t+6 square units.

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sorry brain ly won't let me tell you I'm sorry

=============================================

Work Shown:

(g-h)(x) = g(x) - h(x)

(g-h)(x) = (2x-4) - (x+2)

(g-h)(x) = 2x-4 - x - 2

(g-h)(x) = x - 6

(g-h)(-4) = -4 - 6

(g-h)(-4) = -10

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

An alternative method:

g(x) = 2x-4

g(-4) = 2(-4)-4

g(-4) = -8-4

g(-4) = -12

h(x) = x+2

h(-4) = -4+2

h(-4) = -2

(g-h)(-4) = g(-4) - h(-4)

(g-h)(-4) = -12 - (-2)

(g-h)(-4) = -12 + 2

(g-h)(-4) = -10

The interpretation of V(2) = T is the vertical distance from the top of The Valley (in kilometers) after walking 2 kilometers along the trail.

From the question, the statement is given as

V(2) = T

Also, from the question;

We have

V(d) models Erica’s vertical distance from the top of The Valley

By comparing V(d) and the equation V(2) = T, we have

d = 2

This means that the distance walked is 2 kilometers

So, the interpretation of V(2) = T is the vertical distance in 2 kilometers

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The equation for the perimeter of the rectangle is:

then an equation to find the widht is:

Now, if P=48 and l=18, then we have the following:

therefore, the width is 6 feet.

Answer:

D

Step-by-step explanation:

So we are given the limit:

\(\lim_{x \to 0} (x^2+10)\)

To figure out this limit, we can use direct substitution. Simply substitute 0 for x and then simplify. Therefore:

\(\lim_{x \to 0} (x^2+10)\\=(0)^2+10\\=0+10\\=10\)

Therefore, the limit equals 10.

To find the interest of Chris Owens’ credit union loan of $3,290 at 10(1/3)% interest for 110 days, we use the simple interest formula as follows:

Simple Interest = (P × R × T)/100Where:P = Principal or amount borrowedR = Rate of interest per annumT = Time in years or fraction of a year110 days ÷ 360 days = 0.3056 (time as a fraction of a year)The rate of interest, 10(1/3)% is equal to 10 + (1/3) percent = 10.33% per annum in decimal form = 0.1033Substituting the values we have into the formula,Simple Interest = (P × R × T)/100= (3,290 × 0.1033 × 0.3056)/100= $100.68 (rounded to the nearest cent)

Therefore, the interest of Chris Owens’ credit union loan of $3,290 at 10(1/3)% interest for 110 days is $100.68.

A credit union loan is a type of personal loan that can be used for a variety of purposes. One of the most common reasons people take out credit union loans is to purchase big-ticket items like a new computer system. When you take out a loan, you must pay back the amount borrowed plus the interest charged by the lender. The interest rate is usually expressed as a percentage of the amount borrowed and is charged for a specific period of time known as the loan term. Simple interest is a method of calculating interest that is charged only on the principal amount borrowed.

It does not take into account the interest that has already been paid. Simple interest is calculated by multiplying the principal amount borrowed by the interest rate and the length of the loan term. The answer is more than 100 words.The interest of Chris Owens’ credit union loan of $3,290 at 10(1/3)% interest for 110 days is $100.68. Therefore, he would pay $3,290 + $100.68 = $3,390.68 in total to the credit union over the loan term. It is important to note that when rounding dollar amounts to the nearest cent, amounts that end in .50 or higher are rounded up to the next highest cent, while amounts that end in .49 or lower are rounded down to the next lowest cent. In this case, $100.6847 would be rounded up to $100.68. In conclusion, the interest charged on a loan can significantly increase the total amount that must be repaid, making it important for borrowers to understand how interest is calculated and the terms of their loan.

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Answer:

1) a²-9a+20

2)a²-12a+20

3)a²+a-20

4)a²-8a-20

Step-by-step explanation:

use (foil)

front

outside

inside

last

The percent of the field goals did Samuel make will be 77.5%.

A percentage is a value or ratio that may be stated as a fraction of 100. If we need to calculate a percentage of a number, we should divide it's entirety and then multiply it by 100. The percentage therefore refers to a component per hundred. Per 100 is what the word percent means. It is represented by %.

Samuel made 31 out of 40 field goals during football practice. The percent of the field goals did Samuel make will be:

= 31 / 40 × 100

= 77.5%

The percentage is 77.5%.

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To solve this second-order linear homogeneous differential equation, we first find the characteristic equation:

r^2 + 4 = 0

This has roots r = ±2i, so the general solution to the homogeneous equation is:

y_h(t) = c_1 cos(2t) + c_2 sin(2t)

Next, we need to find a particular solution to the non-homogeneous equation. Since the right-hand side of the equation is a polynomial times an exponential, we can try a particular solution of the form:

y_p(t) = (At^2 + Bt + C)e^t

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

y_p'(t) = (2At + B + At^2 + 2At + 2B + C)e^t

y_p''(t) = (4A + 2At)e^t + (2At + 2B)e^t + (At^2 + 4At + 2B + C)e^t

Substituting these into the differential equation and simplifying, we get:

(4A + 2At)e^t + (2At + 2B)e^t + (At^2 + 4At + 2B + C)e^t - 4(At^2 + Bt + C)e^t = t^2/2

Simplifying further and collecting like terms:

(e^t)(At^2 + (2A - 4B)t + (4A + 2B - 4C)) = t^2/2

Since the left-hand side is a quadratic polynomial in t, we can equate its coefficients to those of the right-hand side to get a system of equations:

A = 1/8

2A - 4B = 0

4A + 2B - 4C = 0

Solving this system of equations, we get:

A = 1/8, B = 1/16, C = 5/64

Therefore, the particular solution is:

y_p(t) = (t^2/8 + t/16 + 5/64)e^t

The general solution to the non-homogeneous equation is then:

y(t) = y_h(t) + y_p(t) = c_1 cos(2t) + c_2 sin(2t) + (t^2/8 + t/16 + 5/64)e^t

Using the initial conditions y(0) = 0 and y'(0) = 1, we can find the constants c_1 and c_2:

y(0) = 0 = c_1 + 5/64

c_1 = -5/64

y'(t) = -2c_1 sin(2t) + 2c_2 cos(2t) + (t/4 + 5/64)e^t + (t^2/8 + t/16 + 5/64)e^t

y'(0) = 1 = 2c_2 + 5/64

c_2 = 27/128

Therefore, the solution to the initial value problem is:

y(t) = (-5/64) cos(2t) + (27/128) sin(2t) + (t^2/8 + t/16 + 5/64)e^t

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Whether or not 24 is a possible output value depends on the specific function in question. To determine if 24 is a possible output value, we need to analyze the domain and range of the function.

The domain of a function refers to the set of all possible input values for the function. Without further information about the function, we cannot determine the domain. However, if the function is defined for all real numbers, then 24 can be a possible input value.

The range of a function refers to the set of all possible output values. Again, without additional information about the function, we cannot determine the range. However, if the function is defined for all real numbers, then 24 can be a possible output value.
In summary, whether or not 24 is a possible output value depends on the specific function and its domain and range.

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Without additional information about the specific function, it is not possible to determine if 24 is a possible output value. Similarly, the description of the domain and range of the function would require more details about its definition.

The question asks if 24 is a possible output value for a given function, and to describe the domain and range of the function.

To determine if 24 is a possible output value, we need more information about the specific function. Without this information, we cannot say for certain if 24 is a possible output. The function's equation or a given set of inputs and outputs would be needed to make a definitive conclusion.

However, in general, a function can have any number of possible output values depending on its definition. For example, a function that squares its input will always produce a positive output, so 24 would not be a possible output for that particular function. On the other hand, a function that doubles its input will have 24 as a possible output if the input is 12.

Moving on to the domain and range of a function, the domain refers to the set of all possible input values, while the range refers to the set of all possible output values. Again, without more information about the specific function, it is challenging to describe the domain and range accurately.

In general, the domain can be determined by identifying any restrictions on the input values. For example, if the function involves taking the square root of a number, the domain would be all non-negative real numbers. The range, on the other hand, can be determined by examining the possible output values. For instance, if the function outputs only positive numbers, the range would be all positive real numbers.

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In each of problems 14 through 20, you need to find all eigenvalues and eigenvectors of the given matrix.

Start by finding the characteristic equation of the matrix by subtracting λ (lambda) from the diagonal elements of the matrix and setting the determinant equal to zero.  Solve the characteristic equation to find the eigenvalues (λ).  For each eigenvalue, substitute it back into the matrix and solve the equation (A - λI)x = 0 to find the eigenvectors (x).  Normalize the eigenvectors by dividing them by their magnitude to get the unit eigenvectors.

Repeat these steps for each problem (14 through 20) to find all the eigenvalues and eigenvectors of the given matrix.

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the equation formula y=2/3x+5 is (3,-3).

Algebraically speaking, an equation is a statement that shows the equality of two mathematical expressions. For instance, the equation 3x + 5 = 14 consists of the two equations 3x + 5 and 14, which are separated by the 'equal' sign.

based on the available facts;

You might be wondering how, but we can start with that 5 at the end, which denotes the y-intercept.

If 0 is used in place of x, then y=2/30+5y=5

We shall receive the first coordinate as a result, which is (0,5).

Let's then consider the slope, which is 2,3. As you may already be aware, the slope is also known as

rise/run

; what do they mean by that is that the first top number tells you how many units you go up and the second one how many units you go right or how many units you go down and go left.

Now, I know this may seem complicated but let's make it clear. Since we know one coordinate, which is

(0,5)

, from that point by knowing the slope we can find a second point; this point is 2 points above and 3 to the right, which tells us that −5+2

points above gives us −3 and 3 points on the right gives us a new coordinate:

(3,−3)

And since we now know two coordinates, that is enough to draw the line and have the graph.

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The value of x is 13.85.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

From the figure,

(7x + 1)° and (6x - 1)° makes a straight angle.

This means,

(7x + 1) + (6x - 1) = 180

7x + 1 + 6x - 1 = 180

13x = 180

x = 180/13

x = 13.85

Thus,

x is 13.85°

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The theoretical capacity of the roller coaster system  in number of passengers per hour at Treasure Island Amusement Park is 170 passengers per hour, based on 17 cars that carry two passengers each, with a run time of 5.5 minutes and load/unload time of 6.5 minutes.

The theoretical capacity of the roller coaster system in number of passengers per hour can be calculated as follows:

There are 17 cars, and each car can carry up to two passengers. So, the total number of passengers per run is 17 x 2 = 34.

Each run takes 5.5 minutes, and the time to unload and load riders is 6.5 minutes, for a total cycle time of 5.5 + 6.5 = 12 minutes.

To calculate the theoretical capacity in passengers per hour, we need to convert the cycle time to hours and then divide by the cycle time. There are 60 minutes in an hour, so the cycle time in hours is 12 / 60 = 0.2 hours.

The theoretical capacity in passengers per hour is then calculated as:

Capacity = (Number of passengers per run) x (Number of runs per hour)

To find the number of runs per hour, we need to divide the total available time per hour (60 minutes) by the cycle time:

Number of runs per hour = 60 / 12 = 5 runs per hour

Now we can calculate the theoretical capacity as:

Capacity = 34 x 5 = 170 passengers per hour

Rounding this down to the nearest whole number, we get the final answer:

The theoretical capacity of the roller coaster system in number of passengers per hour is 170.

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In an orthic triangle, triangle AEF, triangle BFD, and triangle CDE are each similar to triangle ABC.

An orthic triangle is formed by constructing perpendiculars from the vertices of a given triangle to the opposite sides. In this case, we have triangle ABC, and by constructing perpendiculars from the vertices A, B, and C to the opposite sides, we obtain triangle AEF, triangle BFD, and triangle CDE.

To show that triangle AEF, triangle BFD, and triangle CDE are each similar to triangle ABC, we need to demonstrate that their corresponding angles are congruent and their corresponding sides are proportional.

Since triangle ABC and its orthic triangles share the same vertices, their corresponding angles are congruent. The perpendiculars drawn from the vertices of triangle ABC to the opposite sides create right angles, ensuring that the corresponding angles in the orthic triangles are also right angles.

Regarding the sides, the perpendiculars from the vertices of triangle ABC divide the sides into segments. By the properties of perpendicular lines, these segments form similar triangles with triangle ABC. Therefore, the corresponding sides of triangle AEF, triangle BFD, and triangle CDE are proportional to the sides of triangle ABC.

By establishing congruent angles and proportional sides, we can conclude that triangle AEF, triangle BFD, and triangle CDE are each similar to triangle ABC.

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   A parabola having vertex at the origin and focus at (0, -1.5) is expressed by the following equation:

y = -x²/6

 A parabolic function is one that has a quadratic variable, its shape is defined by the intersection of an inclined plane whose angle of inclination with respect to the axis of revolution of the cone is equal to that presented by its generatrix.

Since the vertex and the focal axis are on the same axis, we analyze that:

(x - 0)² = 4p(y - 0)

Focus

f = (0, 0 + p)

0 + p = -1.5

p = 0 -1.5

p = -1.5

(x - 0)² = 4*(-1.5)(y - 0)

(x)² = -6(y)

y = -x²/6

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Given that the angle of elevation from a radar antenna to an airplane is 4 degrees, the antenna's height is 10ft, and the altitude of the plane is 113ft, we can calculate the distance between the antenna and the airplane using trigonometry.

We can use the tangent function to find the distance between the antenna and the airplane. Tan(4 degrees) = opposite/adjacent, where the opposite side represents the altitude of the plane (113ft) and the adjacent side represents the distance we want to find.

Using the formula, we have tan(4 degrees) = 113ft/distance. Rearranging the equation, we get distance = 113ft/tan(4 degrees).

Calculating the value, we find distance ≈ 1604.5ft.

Therefore, the distance from the antenna to the airplane (line of sight) is approximately 1604.5ft.

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The thing that Marlene should to find the square root of 42 will be B. She should find an average of 6.4 and 6.5.

It should be noted that the main thing that can be deduced from the information is to find the square root of 42 based on the information given.

In this case, some earlier numbers have been given and their square roots are illustrated.

Therefore, the thing that Marlene should to find the square root of 42 will be that she should find the average of 6.4 and 6.5.

It should be noted that the square root of 42 falls between 6.4 and 6.5.

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The mass of the solid Q of density rho = k is k(8π/√e).

To find the mass of the solid Q with density rho, we can use the triple integral formula in cylindrical coordinates. The density function rho is given as a constant k, which means it is independent of the coordinates. Therefore, the mass of Q is simply the product of its volume and density.

First, we need to determine the limits of integration in cylindrical coordinates. Since the solid Q is defined in terms of x, y, and z, we need to express these variables in terms of cylindrical coordinates.

In cylindrical coordinates, x = r cos(theta), y = r sin(theta), and z = z. Also, the condition x2 + y2 ≤ 16 corresponds to the cylinder of radius 4 in the xy-plane.

Thus, the limits of integration become:
0 ≤ z ≤ 8e^(-r^2)
0 ≤ r ≤ 4
0 ≤ theta ≤ π/2

Now, we can set up the integral to find the volume of Q:
V = ∭Q dV = ∫₀²π ∫₀⁴ ∫₀^(8e^(-r^2)) r dz dr dθ

Evaluating this integral, we get V = 8π/√e. Therefore, the mass of Q is:
M = ρV = kV = k(8π/√e).

The mass of the solid Q of density rho = k is k(8π/√e).

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Answer:

C

Step-by-step explanation:

1/18 x³y + 7/18 xy²

1/18 xy (x² + 7y)

Answer:

A common technique for simplifying algebraic expressions. When combining like terms, such as 2x and 3x, we add their coefficients. For example, 2x + 3x = (2+3)x = 5x.

Step-by-step explanation:

Answer:

A = 225\(\pi\) or A = 706.858

Step-by-step explanation:

The formula to find the area of a circle is A=\(\pi r^{2}\), with r being the radius.

In this case, 15 is your radius, so you just replace r with 15, like so:

A=\(\pi 15^{2}\), then simplify \(15^{2}\)

A = \(225\pi\)

From here you can leave the answer in its exact form, \(225\pi\), or you can simplify it by multiplying 225 times pi. In that case, your answer would be: 706.858 (rounded to the thousanths place).

If radius of a circle is 15 m then the area of circle is 225π square units.

A circle is a shape consisting of all points in a plane that are at a given distance from a given point, the centre.

Given that radius of a circle is 15m.

We have to find the area of the circle.

The formula for area of the circle is A=πr²

Given r is 15

Substitute r=15 in the area formula.

A=π(15)²

=π×15×15

=225π

Hence, if  radius of a circle is 15 m then the area of circle is 225π square units.

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