Dominic is making meatballs. He uses 3/4 cup of breadcrumbs for every 1 1/4 pounds of ground beef. How many cups of breadcrumbs does he need when he uses 1 3/4 pounds of ground beef?

Answer:

21/33

Step-by-step explanation:

Multiply both numbers by 3

The gardner is correct Because the total distance traveled by the roller is greater than the length of the bowling green.

A diameter of a circle is any straight line segment that passes through the center of the circle and whose endpoints lie on the circle.

For the gardener to be correct,

8×Perimeter of the roller = Length of the bowling green

Therefore,

Let use first find the perimeter of the roller

Where:

Substitute these values into equation 1

For 8 full rotation,

Comparing the distance for 8 revolution of the roller with the length of the bowling green,

Therefore, the gardner is correct

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Answer: a) x = .555...

              => 10x = 5.55...

              => 10x - x = 5.55... - .555...

              => 9x = 5

              => x = 5/9

b) x = .2525...

   => 100x = 25.25...

   => 100x - x = 25.25... - .2525...

   => 99x = 25

   => x = 25/99

The product of the monomial 4x and the polynomial 3x²y + 7xy⁴ is 12x³y + 28x²y⁴.

The product of a monomial and a polynomial is as follows:

Step 1: multiply the monomial with each term in the polynomial

Step 2: Check for any like terms, if present adds or subtract them as per their sign.

Step 3: thus, we get the product.

The given monomial is 4x and the polynomial is 3x²y + 7xy⁴.

So, their product is

4x × (3x²y + 7xy⁴) = 4x(3x²y) + 4x(7xy⁴)

⇒ (4×3)(x × x²)(y) + (4×7)(x × x)(y⁴)

⇒ 12x³y + 28x²y⁴

Since there are no like terms and do not need any further simplification, the given product is 12x³y + 28x²y⁴.

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Answer:

The answer is 82 square feet

Step-by-step explanation:

An easy way to do this is to split it into two rectanlges. You can do 10*5 and 8*4 as the dimensions to the two rectangles or you can do 2*4 and 9*8.

I am going to do the first option.

The area of a rectangle is length times width.

Rectangle one can be the one with the dimensions 10 and 5 and the length and width.

Rectangle two can be the one with the dimensions 8 and 4 and the length and width.

Area of rectangle one = 50 feet^2

Area of rectangle two = 32 feet^2

Since we split a large irregular shape into two bits, we must add them together, which results in 82 feet^2.  

Answer: Let X = the smaller of the two consecutive odd integers. Therefore (X + 2) = the larger of the two consecutive odd integers.

Using the equations, the particular solution is y_p(x)=-3x+1+2e⁻ˣ.

As we already know, homogeneous equations have zero on the right side of the equation. Thus, it is said that non-homogenous differential equations are those with a function on the right side of their equation.

We are given a non-homogeneous differential equation in the form:

y′′+3y′-3y=3xe^-1​

The differential equation is called non-homogeneous because it is known to have a non-zero right-hand side.

To solve this differential equation, we first need to find the complementary function, which is the solution to the corresponding homogeneous differential equation y′′+3y′-3y=0.

We then take the first and second derivatives of y_p(x) and substitute them into the differential equation, y′′+3y′-3y=3xe^-1​ and simplify.

This leads to the system of equations:

a + 3c = 3

a + 3b - 3c = 0

a + b + 3c = 1

Solving this system of equations, we find that a=-3, b=1, and c=2. Therefore, the particular solution is y_p(x)=-3x+1+2e⁻ˣ.

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This set of equations can be solved, and the results show that a=-3, b=1, and c=2. As a result, the specific answer is \(y_{p(x)} =-3x+1+2e^{-x}\).

Homogeneous equations, as we already know, have "0" on the right side of the equation. Therefore, it is said that differential equations with a function on the right side of the equation are non-homogenous differential equations.

A non-homogeneous differential equation of the following shape is provided to us:

\(y^{''} +3y^{'} -3y=3xe^{-1}\)

Since the right-hand side of the differential equation is known to be non-zero, it is referred to as non-homogeneous.

Finding the complementary function, which is the answer to the related homogeneous differential equation \(y^{''} +3y^{'} -3y=0\), is the first step in solving this differential equation.

The differential equation \(y^{''} +3y^{'} -3y=3xe^{-1}\) is then simplified by taking the first and second derivatives of \(y_{p(x)}\) and substituting them into

the equation.

This results in the formulae system:

a + 3c = 3

a + 3b - 3c = 0

a + b + 3c = 1

This set of equations can be solved, and the results show that a=-3, b=1, and c=2. As a result, the specific answer is  \(y_{p(x)} =-3x+1+2e^{-x}\).

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Answer: 32

Step-by-step explanation:

     We will use the Order of Operations. First, we will do parentheses (), then brackets [], then lastly the braces {}, then lastly add 12.

Given:

     {[2+(11+9)]-2)+12

Add 11 to 9:

     {[2+20]-2)+12

Add 2 to 20:

     {22-2)+12

Subtract 2 from 20:

     20 + 12

Add 20 and 12:

     32

the value of the function is zero, then the correct option is the first one.

g(x)=0

We know that the given function:

g(x) = -3*(x - 3)^2 + 4

Crosses the x-axis at x = 1.845

Now, remember that the x-axis is located at y = 0, to for the function:

y = g(x)

We should have that g(1.845) = 0

Then what we can conclude about the value of g(x) at x = 1.845 is that the value of the function is zero, then the correct option is the first one.

g(x)=0

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Answer: 15cm

Step-by-step explanation: If the length of the model on the top is 6 cm, then the length of the model on the bottom must be 15 cm

Answer:

y=-2

Step-by-step explanation:

5 (y-1)+6= -9

Subtract 6 from each side

5 (y-1)+6-6= -9-6

5 ( y-1) = -15

Divide by 5

5(y-1)/5 = -15/5

y-1 = -3

Add 1 to each side

y-1+1 = -3+1

y = -2

The value of x will be 18.67 for the given data of the triangle.

We have,

Thale's theorem:

When a line parallel to one side of a triangle intersects the other two sides in distinct points, the other two sides are divided in the same ratio.

Given that the sides of the triangle are divided into two parts,

For the left part the parts will be x and x + 7 for the right side the parts will be 16 and 22.

The ratio will be the same according to Thale's theorem. The value of x will be calculated as:-

x / ( x + 7 ) = 16 / 22

22x = 16x + 112

6x = 112

x = 112 / 6

x = 18.67

Therefore, the value of x will be 18.67.

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complete question;

Find the values of x and y. Find value of x.

The surface area of the right rectangular prism is given as follows:

358 m².

The surface area of a prism is obtained with the sum of the areas of each part of the prism.

The parts that compose the prism are given as follows:

The area of a rectangle is given by the multiplication of each of the dimensions of the rectangle.

Hence the surface area of the prism is calculated as follows:

S = 2 x (7 x 12 + 5 x 12 + 5 x 7) = 358 m².

(multiplication by two due to the two rectangles with each of the dimensions).

The prism is given by the image shown at the end of the answer.

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The required measure of the radius inscribed in the triangle RST is 11.

The triangle is a geometric shape that includes 3 sides and the sum of the interior angle should not be greater than 180°

Here,
The incenter of the triangle will be the center of the circle inscribed in the triangle. and radius will be the perpendicular distance from the incenter to the sides.
So,
XU = XW,
-2y + 15 = 3y +5
5y = 10
y = 2

Now,
Radius = XU
          = -2(2) + 15
          = 11

Thus, the required measure of the radius inscribed in the triangle RST is 11.

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The speed of the boat in still water (x) is 12 mph, and the speed of the current (y) is 9 mph.

To find the speed of the boat in still water and the speed of the current, let's follow these steps:

Step 1: Let x represent the speed of the boat in still water, and y represent the speed of the current. The speed downstream is (x + y) and the speed upstream is (x - y).

Step 2: Use the formula distance = time × speed to write two equations based on the given information.

Downstream: 9(x + y) = 189

Upstream: 63(x - y) = 189

Step 3: Simplify both equations:

Downstream: x + y = 21 (divide both sides by 9)

Upstream: x - y = 3 (divide both sides by 63)

Step 4: Solve the system of equations by adding the two simplified equations:

2x = 24

x = 12

Step 5: Plug the value of x back into either equation to solve for y:

12 + y = 21

y = 9

So, the speed of the boat in still water (x) is 12 mph, and the speed of the current (y) is 9 mph.

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Remember that a rectangle has equal and parallel opposite sides. The vertices that give a rectangle here are L(4,1) and M(-2, -1).

The image below shows the rectangle

Answer:

C Exponential

Step-by-step explanation:

3x^2 -- its using an exponent

When in a right angle triangle, the right angle has two angles inside it i.e. x+4° and  3x+2°, x is equal to 21.

what exactly is a triangle?

A triangle is a three-sided polygon, which is a two-dimensional shape with straight sides. It is one of the simplest and most common geometric shapes in mathematics. A triangle is defined by its three sides and three angles.

The total sum of the angles of a triangle is always equal to 180 °. The length of the sides and the size of the angles can vary, giving rise to different types of triangles, such as equilateral, isosceles, scalene, acute, obtuse, and right triangles.

Now,

The sum of two adjacent angles inside a 90° angle is 90°. So, we can set up an equation:

x + 4 + 3x + 2 = 90

Simplifying the left side by combining like terms:

4x + 6 = 90

Subtracting 6 from both sides:

4x = 84

Dividing by 4:

x = 21

Therefore, The value of  x is 21.

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The value of q is 0.35.

The value of p is 0.16.

The value of r is 0.27.

The value of P(A given NOT B) is approximately 0.4211.

To calculate the values of p, q, and r, we can use the information provided in the Venn diagram and the probabilities of events A and B.

Given:

P(A) = 0.43

P(B) = 0.62

P(A∩B) = 0.27

Calculating the value of p:

The value of p represents the probability of event A occurring without event B. In the Venn diagram, p corresponds to the region inside A but outside B.

We can calculate p by subtracting the probability of the intersection of A and B from the probability of A:

p = P(A) - P(A∩B)

= 0.43 - 0.27

= 0.16

Therefore, the value of p is 0.16.

Calculating the value of q:

The value of q represents the probability of event B occurring without event A. In the Venn diagram, q corresponds to the region inside B but outside A.

We can calculate q by subtracting the probability of the intersection of A and B from the probability of B:

q = P(B) - P(A∩B)

= 0.62 - 0.27

= 0.35

Therefore, the value of q is 0.35.

Calculating the value of r:

The value of r represents the probability of both event A and event B occurring. In the Venn diagram, r corresponds to the intersection of A and B.

We are given that P(A∩B) = 0.27, so the value of r is 0.27.

Therefore, the value of r is 0.27.

Finding the value of P(A given NOT B):

P(A given NOT B) represents the probability of event A occurring given that event B does not occur. In other words, it represents the probability of A happening when B is not happening.

To calculate this, we need to find the probability of A without B and divide it by the probability of NOT B.

P(A given NOT B) = P(A∩(NOT B)) / P(NOT B)

We can calculate the value of P(A given NOT B) using the provided probabilities:

P(A given NOT B) = P(A) - P(A∩B) / (1 - P(B))

= 0.43 - 0.27 / (1 - 0.62)

= 0.16 / 0.38

≈ 0.4211

Therefore, the value of P(A given NOT B) is approximately 0.4211.

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It would cost approximately $52.18 to drive from Statesville, NC to Washington, DC with a car that gets 29 miles per gallon on the interstate, considering a gas cost of $3.89 per gallon.

To calculate the time it would take to drive from Statesville, NC to Washington, DC, we can divide the distance of 389 miles by the average speed of 65 mph.

Time = Distance / Speed

Time = 389 miles / 65 mph

Time ≈ 5.98 hours

Therefore, it would take approximately 5.98 hours to drive from Statesville, NC to Washington, DC on interstates with an average speed of 65 mph.

To calculate the cost of driving to Washington, DC, we need to know the number of gallons of gas required for the trip. We can find this by dividing the distance by the car's mileage, which is 29 miles per gallon.

Number of gallons = Distance / Mileage

Number of gallons = 389 miles / 29 miles per gallon

Number of gallons ≈ 13.41 gallons

The cost of gas can be calculated by multiplying the number of gallons by the cost per gallon, which is $3.89.

Cost = Number of gallons * Cost per gallon

Cost ≈ 13.41 gallons * $3.89/gallon

Cost ≈ $52.18

Therefore, it would cost approximately $52.18 to drive from Statesville, NC to Washington, DC with a car that gets 29 miles per gallon on the interstate, considering a gas cost of $3.89 per gallon.

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Answer:

8 strawberries and 2 blueberries

Step-by-step explanation:

Answer:

x^2 + 3x + 9 = (x + 3)(x + 3)

When x = 2, we have:

(2 + 3) * (2 + 3)

5 * 5

25

The equation of a line that passes through x1 y1 is defined as

y- y1 = m(x - x1) where m is the slope

Hence for a line with slope = 0 and passes through (-3,8) the equation is

y - 8 = 0(x - -3)

y - 8 = 0

y = 8

The missing value for the quadratic function is given as follows:

y = -3.

As a function of it's roots x* and x**, the quadratic function is defined as follows:

y = a(x - x*)(x - x**)

In which a is the leading coefficient.

The roots of the function are the values of x when y = 0, hence:

x* = -4, x** = -2.

Thus:

y = a(x + 4)(x + 2)

y = a(x² + 6x + 8).

When x = 0, y = -8, hence the leading coefficient a of the function is given as follows:

8a = -8

a = -1.

Hence:

y = -x² - 6x - 8;

The missing value is the value of y when x = -1, hence:

y = -(-1)² - 6(-1) - 8

y = -3.

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\( \huge \boxed{\mathfrak{Question} \downarrow}\)

\( \large \boxed{\mathfrak{Answer \: with \: Explanation} \downarrow}\)

\( \sf (-6) \: squared\)

This will be equal to..

\( \sf( - 6 ) ^ { 2 }\)

Multiply -6 by itself (squaring a number means to multiply the number by itself twice)

\( \sf- 6 \times - 6 \\ \)

-6 multiplied by-6 will get you 36 as the answer.

\( = \boxed{\boxed{\bf \: 36}}\)

3 gallons ---------------------------- 19.5 miles

1 gallon ----------------------------- x

x = (1 x 19.5)/3

x = 6.5 miles/gallon

The figure here is a rectangular prism (figure below)

When the figure is cut diagonally, we have a right triangle

When the figure is cut perpendicularly, we have a rectangle

When the figure is cut parallel to the ba

The any graph input change any "c" unit so graph move "c" unit is left side so new point is :

Where :

new point is change in x axis so new points is:

so the value of "c" is 1 then:

Similarly