Ms. Avery sold tomatoes at a local farmers' market over a two-week period.
She sold 4.8 pounds of tomatoes on each of 3 days during the first week.
She sold 5.6 pounds of tomatoes on each of 4 days during the second week.
How many pounds of tomatoes did Ms. Avery sell during the two-week period?

Answer: 0.166666667 yards OR 0.1524 meters OR 0.5 feet

Step-by-step explanation:

1 / 6 = 0.166666667 yards

1 yard = 0.9144 meters

0.9144 / 6 = 0.1524 meters

1 yard = 3 feet

3 / 6 = 0.5 feet

Answer:

The same, Congruent

Step-by-step explanation:

The measures of alternate exterior angles are equal when two parallel lines are intersected by a transversal line. That is, if we have two parallel lines l and m intersected by a transversal line t, then the alternate exterior angles are congruent, which means that they have the same measure. More formally, if angle 1 and angle 2 are alternate exterior angles, then:

angle 1 = angle 2

The reason for this is that when the parallel lines are intersected by the transversal line, they form a Z-shape pattern, and the alternate exterior angles are located on opposite sides of the transversal line, but outside of the two parallel lines. The angles are congruent because they are formed by a pair of corresponding angles and a pair of vertical angles.

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Answer:

Step-by-step explanation:

You want to identify the x-intercepts on the graph.

An "x-intercept" is a point where the graph crosses or touches (intercepts) the x-axis. The y-value there is always 0.

The given graph crosses the x-axis where x = -2 and x = 3. This means the x-intercept points are ...

  (-2, 0) and (3, 0)

<95141404393>

The system has the following solution: \(x_1=-4,\ x_2=3,\ x_3=1\). The vector xequals can be used to represent the answer.

A statement in mathematics demonstrating the equality of two expressions is called an equation. Two phrases with the same value are normally separated by the equals sign (=). Finding the area of a circle and predicting planetary motion are only two examples of the many practical issues that equations are used to address.

The linear system's augmented matrix, which is determined by the matrix equation A x = b is given by:

Aequals

\(\left[\begin{array}{ccc}1&-3&4\\2&-3&2\\-3&3&4\\-7&15&-4\end{array}\right]\)

Part 2:

Aequals

Write the system's solution as a vector after solving it.

We can use Gaussian Elimination to solve this system.

Step 1:

\(\left[\begin{array}{ccc}1&1&0\\2&-1&1\\-3&0&1\\-7&8&3\end{array}\right]\)

Step 2:

Aequals

\(\left[\begin{array}{ccc}1&0&0\\0&1&0\\3&1&0\\-4&3&1\end{array}\right]\)

The system's solution is \(x_1=-4,\ x_2=3,\ x_3=1\). The vector xequals represents the answer.

The matrix is,

\(\left[\begin{array}{ccc}-4\\3\\1\end{array}\right]\)

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Answer:

13 miles / hr

Explanation:

All that we know about Tylor's speed is that he bikes 33.8 miles per 2.6 hours. Therefore, our best estimate of his average speed is

anwers: is 15 because I did 30 percent of 50

Step-by-step explanation:

So let classify each function.

38 is a quadratic because it has a leading variable raised to the 2nd degree.

Quadratics always accept all x values positive or negative so the domain

Quadratics lowest range is it vertex. The vertex of a typically quadratic is 0 because when we have the function

\( {x}^{2} \)

we have no value after it so 0 is the lowest number.

However we have

\( {x}^{2} - 9\)

So this means that our lowest value will be -9.

We include that point as well. The leading coeffceint is positive so it approach infinity so the range is

39 is a square root function because it has the square root symbol. Remeber that we can't take the square root of a negative number i.e( we can but it isn't graphable on a Cartesian plane). So this means x has to be greater than or equal to zero. We can take the square root of 0.

So set the equation inside the radical equal to zero.

\(x - 4 = 0\)

\(x = 4\)

So this means the domain is

In a square root function, we restrict our domain to only positive number so the range is

[0,♾)

The sum of the angles of the triangle expressed in two ways are x + 1/2x + 3/2x and 2x + x + 3x/2

It is important to note that the sum of the angles of a triangle is equal or equivalent to 180 degrees.

We have the angle measurements as;

Substitute the values

x + 1/2 x + 3/2x = 180

Find the lowest common multiple

2x + x + 3x /2 = 180

Add the numerators

6x/2 = 180

cross multiply

6x = 360

x = 60

Hence, the expression is x + 1/2x + 3/2x and 2x + x + 3x/2

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Answer:

The exact value of the other leg is 10.

Step-by-step explanation:

Finding the exact value of x given a 45 degree angle and a side length of 10 can be done using trigonometry. In a 45-45-90 right triangle, the two legs are congruent and the hypotenuse is equal to the square root of 2 times the length of the legs.

Therefore, if one leg is 10, the hypotenuse is 10 times the square root of 2. To find the length of the other leg, we can use the Pythagorean theorem:

c^2 = a^2 + b^2, where c is the hypotenuse, a and b are the legs of the right triangle.

Substituting known values, we get:

(10√2)^2 = 10^2 + b^2

200 = 100 + b^2

b^2 = 100

b = 10

Therefore, the exact value of the other leg is 10.

Answer:

The perimeter of the scale floor is 34 inches.

Step-by-step explanation:

To solve, we can set up fractions:

\(\frac{21}{7}=\frac{30}{x}\)

Cross multiply and you get:

21x = 210

Divide each side by 21:

x = 10

Since you are trying to find the perimeter of the floor, you can use this equation:

2w + 2l = p

Substitute to solve:

2 ( width = 10 )

2 ( length = 7 )

2 ( 7 ) + 2 ( 10 ) = p

14 + 20 = p

34 = p

Answer:

the seconed statment is true

pi * d/2 + 5*2+7

It is a half circle

10.99+10+7

27.99

answer: the range is 41.

to find the range of this data set, we first need to find the minimum and maximum values - which are 59 and 100.

then we subtract the minimum from the maximum.

59 - 100 = 41.

Each function on the left should be matched to all points on the right that would be located on the graph of the function as follows;

f(x) = 2x + 2         ⇒   (0, 2).

f(x) = 2x² - 2        ⇒   (-1, 0).

\(f(x) = 2\sqrt{x+1}\)   ⇒   (0, 2).

In Mathematics and Geometry, a function is a mathematical equation which defines and represents the relationship that exists between two or more variables such as an ordered pair in tables or relations.

Next, we would determine the point or ordered pair that represent a solution on the graph of each of the function as follows;

For the ordered pair (0, 2), we have:

f(x) = 2x + 2

2 = 2(0) + 2

2 = 2 (True).

For the ordered pair (-1, 0), we have:

f(x) = 2x² - 2

0 = 2(-1)² - 2

0 = 2 - 2

0 = 0 (True).

For the ordered pair (0, 2), we have:

\(f(x) = 2\sqrt{x+1}\\\\2= 2\sqrt{0+1}\\\\2 = 2\sqrt{1}\)

2 = 2 (True).

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Question:

At the beginning of the months, a consumer had $437.52 of in his bank account. During which he made deposits of $80, $256 and $217.14 and write checks of $115.98 and $108.90 - What balance left?

Answer:

The customer's balance is $765.78

Step-by-step explanation:

Given

Start Amount = $437.52

Deposits = $80, $256 and $217.14

Withdrawals (Checks) = $115.98 and $108.90

Required

Determine his balance

We start by calculating the total deposits made by the customer

\(Total\ Deposits = \$80 + \$256 + \$217.14\)

\(Total\ Deposits = \$553.14\)

Next, we calculate the total withdrawals (checks)

\(Total\ Withdrawals = \$115.98 + \$108.90\)

\(Total\ Withdrawals = \$224.88\)

At this point, we can now calculate the customer's balance as follows;

\(Balance =Start\ Amount + Total\ Deposits - Total\ Withdrawals\)

\(Balance = \$437.52+ \$553.14 -\$224.88\)

\(Balance = \$765.78\)

Hence, the customer's balance is $765.78

The balance left in the consumer's account is $765.78.

The amount of money in the consumer's account increases with the deposits made and reduces when she writes checks.

The total value of the deposits have to be determined first.

Total value of the deposits = $256 + $217.14 + $80 = $553.14

The value of the checks written has to be determined

$115.98 + $108.90 = $224.88

Add the value of deposit, subtract the value of checks from the beginning balance

$437.52 + $553.14 - $224.88 = $765.78

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Answer:

Hi

Step-by-step explanation:

Please paste your question so I can solve it

Thanks

Answer:

B on edge

Step-by-step explanation:

:))

The component form of QR is <-16, 14> if the points Q(23, 48) and R(7, 62) option (B) is correct.

It is defined as the quantity that has magnitude as well as direction also the vector always follows the sum triangle law.

The question is incomplete.

The complete question is in the picture, please refer to the attached picture.

We have:

Consider the points Q(23, 48) and R(7, 62).

The x component = 7 - 23 = -16

The y component = 62 - 48 = 14

QR = <-16, 14>

Thus, the component form of QR is <-16, 14> if the points Q(23, 48) and R(7, 62) option (B) is correct.

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The length of the two segments, written as radicals, are:

AB = √117

PQ = √244

Remember that for a segment whose endpoints are (x₁, y₁) and (x₂, y₂), the length of the segment is:

L = √( (x₂ - x₁)² + (y₂ - y₁)²)

First, for the segment AB the endpoints are:

A = (-4,  -4)

B = (2, 5)

Then the length is:

L =  √( (-4 - 2)² + (-4 - 5)²)

L = √117

For the segment PQ the endpoints are:

P = (-6, 8)

Q = (6, -2)

The length is:

L =  √( (-6 - 6)² + (8 + 2)²)

L = √244

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Answer: A conclusion you reach using inductive reasoning is called conjecture.

Step-by-step explanation: Examining several specific situations to arrive at a conjecture is called inductive reasoning.

A conclusion that is arrived by inductive reasoning is called a conjecture.

An inductive reasoning is made following observable patterns. For instance when the patterns occurring in a sequence are closely monitored, inductive reasoning can be used to know what would be the next terms of the sequence.

A conjecture is a conclusion that one gets to while they are using the inductive type of reasoning.

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The calculated measure of the angle D is (c) 32 degrees

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

The triangles ABC and DEF

The triangles are similar triangles

This means that the corresponding angles are equal

Given that

A = 32 degrees

And the corresponding angle is D

We have

D = 32 degrees

Hence, the measure of the angle is (c) 32 degrees

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The equivalent expression is 5 - 3x/2. Option D

Algebraic expressions are described as expressions that are made up of variables, their coefficients, factors and constants.

these algebraic expressions are also composed of mathematical operations. These operations includes;

From the information given, we have that;

1/ 4(8 - 6x + 12)

expand the bracket, we have;

Add the like terms

1/4(20 - 6x)

now, multiply the values, we have;

20 - 6x/4

Divide by the denominator

5 - 3x/2

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The complete question:

Simply the expression:

1/ 4(8 - 6x + 12)

The set of factors used to factor the given trinomial are -4 and -4. Therefore, option C is the correct answer.

The given trinomial is x²-8x+16.

Factors of 16           Sum of factors

-1 and -16               -1+(-16)=-17

-2 and -8                  -2+(-8)=-10

-4 and -4                  -4+(-4)=-8

The set of factors would used to factor the trinomial are -4 and -4.

Therefore, option C is the correct answer.

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The value of the function when x = 2 is 33.25.

A function with the formula f(x) = abˣ is an exponential function. A and b are constants, and b is a positive real integer that is greater than zero. The basis b determines how much the function increases or decreases, and x is the exponent or power that raises the base. The function shows exponential growth if b is bigger than 1, whereas the function shows exponential decline if b is between 0 and 1. Many phenomena, including population expansion, compound interest, radioactive decay, and the spread of infectious illnesses, are modelled using exponential functions.

The given function is \(f(x) = 3 +7e^{0.58x}\).

Substitute the value of x = 2 we have:

\(f(2) = 3 + 7(2.72)^{0.58(2)}= 3 + 7(2.72)^{1.16}\)

= 3 + 7(4.464)

= 33.25

Hence, the value of the function when x = 2 is 33.25.

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Answer:

Step-by-step explanation:

3x -8 = 2x + 5

x - 8 = 5

x = 13

3(13) - 8 + 2(13) + 5

39 - 8 + 26 + 5

31 + 31 = 62