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Paolo wrote the following equation for the perimeter of a rectangle.
Which equation is equivalent to the equation Paolo wrote?

Answer:

The correct answer is: Yes; it is a reflection over the y-axis.

To see why, imagine folding the graph along the y-axis. Points on the right-hand side of the y-axis remain on the right-hand side, while points on the left-hand side move to the right. This transformation is equivalent to reflecting the original figure across the y-axis.

Step-by-step explanation:

Answer:

V = \(\frac{7}{8}\) units³

Step-by-step explanation:

the volume (V) of the prism is calculated as

V = Ah ( A is the area of the base and h the height ) , then

V = \(\frac{1}{2}\) × 1 \(\frac{3}{4}\) ( change mixed number to improper fraction )

   = \(\frac{1}{2}\) × \(\frac{7}{4}\)

   = \(\frac{1(7)}{2(4)}\)

   = \(\frac{7}{8}\) units³

Answer:

$1584

Step-by-step explanation:

2.2% of 72,000 is 1584, therefore that is the rent

Answer:

Yes

Step-by-step explanation:

Cause the 1 is there for no reason

The value of angle Z is 81°. Thus, option C is correct.

Given that the value of angle A is 32° and the value of angle B is 67°. We need to find the value of angle Z. Before solving the question let us have a quick glance over the concept of angle sum property.

Angles sum property states that the sum of angles of a triangle is 180°.  

A + B + Z = 180°Now substituting the given values in the equation we get,32° + 67° + Z = 180°⇒ 99° + Z = 180°Now we will transfer the constant term to the RHS.99° + Z - 99° = 180° - 99°⇒ Z = 81°

In order to solve the question, we have used the concept of the angle sum property. This property is used to find the sum of angles in a triangle. Any triangle has three angles and the sum of these three angles is always equal to 180°.

This concept helps us to form equations for the given values of angles. Further, these equations can be solved to find the unknown angles in the triangle.

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The number of cookies in the jar initially was 42

To find out how many cookies were in the jar initially, we can use algebra to represent the problem. Let x be the number of cookies in the jar initially. After Latoya took half of the cookies, Mark took 1/3 of the remaining cookies, Kandi took 1/4 of the remaining cookies, and Shannon took 1 cookie, there are 2 cookies left in the jar.

We can use this information to set up the equation:

x/2 - (x/2)/3 - (x/2)/4 - 1 - 2 = 0.

By solving this equation, we get x = 42. This means there were 42 cookies in the jar initially. To find out how many cookies were there before Latoya came, we just add the 2/3 of a cookie that was left over to the 2 whole cookies we know of.

So, 42+2/3 = 42.67 which means 42 cookies were there before Latoya came.

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Answer:

the answer is 35cm^3 hope this helped

Step-by-step explanation:

Answer:

64

Step-by-step explanation:

4³ = 64

In a:  Type 1 error = 0.05, In b: A small p-value (typically ≤ 0.05) indicates strong evidence against the null hypothesis, so you reject the null hypothesis.  In C: Type 1 error

a) Type 1 error = 0.05

b) When you perform a hypothesis test in statistics, a p-value helps you determine the significance of your results. ... The p-value is a number between 0 and 1 and interpreted in the following way: A small p-value (typically ≤ 0.05) indicates strong evidence against the null hypothesis, so you reject the null hypothesis.

0.03 < 0.05

c) Type I and type II errors. ... In statistical hypothesis testing, a type I error is the rejection of a true null hypothesis (also known as a "false positive" finding), while a type II error is failing to reject a false null hypothesis (also known as a "false negative" finding). so Type 1 error

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Each subtraction expression, in relation with the Pythagoras Theorem, represents the length of one side of a right-angled triangle with a hypotenuse of length d.

What is Pythagoras Theorem?

The Pythagoras Theorem states that the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the remaining two sides in a right-angled triangle.

The formula for Pythagoras Theorem is given by,

\(h^{2}=a^{2} +b^{2}\)

Here, h is the hypotenuse, a and b are the two legs of the right-angled triangle.

Each Subtraction in view of Pythagoras Theorem

It is is given that,

\(d =\sqrt{(x_{2} - x_{1} )^{2}+(y_{2} -y_{1} )^{2} }\)

or  \(d^{2} =(x_{2} - x_{1} )^{2}+(y_{2} -y_{1} )^{2}\)

Therefore, d is the hypotenuse and each subtraction term represents one leg of the right-angled triangle in accordance with the Pythagoras Theorem.

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Answer:

5.75, you have to multiply the height and width and then divide the total volume by that product

Answer:5.75

Step-by-step explanation:

Just multiply multiply the numbers

Answer:

\(\fbox {True}\)

Step-by-step explanation:

Trigonometric ratios apply to only right triangles, and not to oblique triangles. There various ratios of angles less than or equal to 90 degrees is taken.

Step-by-step explanation:

hope you can understand

The answer would be 115

Step-by-step explanation:

Answer:

The probability will be number of Yellows divided by the total number of Marbles

Here there are 3 yellows and 11 marbles in total

The probability is

3/11

Answer:

f(x)=X^2+4

f(x)=42

42=X^2+4

X^2+4=42

X^2=42-4

X^2=38

X=sqrt(38)=6.16

\( \sqrt{?} \)

a) The ordered pair is a solution

b) The ordered pair is a solution

c) The ordered pair is a solution

d) The ordered pair is a solution

e) The ordered pair is a solution

f) The ordered pair is a solution

To determine whether an ordered pair is a solution of an equation, you need to substitute the values of the ordered pair into the equation and check if the equation is true or false.

a) Substitute (2, -1) into one of the equations;

3(2) + 2(-1) = 6 -2 = 4

b) 1 + 4 = 5

c) 4(5) - 5(4)

= 20 - 20 = 0

d) 3(0) - 2(2) = -4

e) y - 3x = -5

-2 - 3(1)

-2 - 3 = -5

f) 10 - 20 = -10

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Answer:

HCF of 60 and 80 is 20.

Step-by-step explanation:

Answer:

∠CTM = 60

∠MTY = 30

Step-by-step explanation:

Complementary means adds to 90°

2p + p = 90

3p = 90

p=30

2p = 60

Answer: angle CTM-60 and angle MTY=30

Step-by-step explanation:

If two angles are complementary that means added together they are 90.

We can make this equation to solve for p: 2p+p=90

Now we can solve

\(2p+p=90\\3p=90\\\frac{3p}{3} =\frac{90}{3}\\p=30\)

now that we know p is 30 we can sub it in to find the measure of CTM

2(30)

60

Answer:

The minimum cost for the transportation for the field trip is $1700

Step-by-step explanation:

Let x be the no. of large buses and y be the no. of small buses

Number of students in large bus = 60

Number of students in x large buses = 60x

Cost of 1 large bus =$300

Cost of x large buses = 300x

Number of students in small bus = 45

Number of students in y small buses = 45y

Cost of 1 small bus =$200

Cost of y small buses = 200y

Cost = 300x+200y

We are given that A school district needs to arrange transportation for at least 360 students

\(60x+45y \geq 360\)

The district only has chaperones for, at most, seven buses.

\(x+y \leq 7\)

Plot the lines on graph

\(60x+45y \geq 360\) --- Black region

\(x+y \leq 7\) --- Red region

Feasible points :

At(3,4)

Cost  = 300x+200y=300(3)+200(4)=1700

At(7,0)

Cost  = 300x+200y=300(7)+200(0)=2100

At(6,0)

Cost  = 300x+200y=300(6)+200(0)=1800

So, The minimum cost for the transportation for the field trip is $1700

Answer:

1700

Step-by-step explanation:

2020 edge

The predicted number of adults in Oak City whose main source of news is newspapers or the radio is 85

To predict the number of adults in Oak City whose main source of news is newspapers or the radio, we need to add the number of adults who answered "Newspapers" to the number of adults who answered "Radio".

According to the sample data

Number of adults who answered "Newspapers": 64

Number of adults who answered "Radio": 21

Therefore, the predicted number of adults in Oak City whose main source of news is newspapers or the radio we have to use the addition

64 + 21 = 85

Rounding this answer to the nearest whole number, we get

85 ≈ 85

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The given question is incomplete, the complete question is:

There are 44,000 adults living in Oak City. In examining attitudes toward the news, a research group asked a random sample of Oak City adults "What is your main source of news?" The results are shown below. Main Source of News Newspapers Number of Adults 64 Internet 80 Television 126 Radio 21 Other 40 Based on the sample, predict the number of adults in Oak City whose main source of news is newspapers or the radio. Round your answer to the nearest whole number.

No.

The intermediate value theorem (IVT) says that if \(f(x)\) is continuous on \([a,b]\), and if \(d\) is a number between

\(\min\{f(a),f(b)\} \le d \le \max\{f(a),f(b)\}\)

then there is some \(c\in(a,b)\) such that \(f(c) = d\).

In this case we have for all \(x\in[5,6]\),

\(-5 \le f(x) \le 5\)

0 falls in this range, so by continuity of \(f\) and the IVT, there must be some number \(x\in(5,6)\) such that \(f(x) = 0\).

Answer:

No statements are included in the question.  Several observations are noted.

Step-by-step explanation:

y = 6x + 2

y = 6x + 1

y=mx+b is the equation for a straight line, where m is the slope and b the y-intercept.  

Observations

1.  These are both straight lines.

2.  The slopes are both the same:  +6.  The lines are parallel.

3.  Since they are parallel, they will never intersect (within the solar system)

4.  The second line is one unit lower than the first:  it's y-intercept is +1, comapared to +2 for the first.

5.  Since they do not intercept, there is no solution for this system of equations.

These will likely match some of the statements.

Given statement solution is :- When the weight of apples is increased by a factor of 4, the total cost also increases by a factor of 4. The correct answer is 4, not 8.

To determine the factor by which the total cost increases when the weight of apples is increased by a factor of 4, let's examine the relationship between the weight and total cost in the given ratio table.

Weight (lb) | Total cost (S)

1 | 2

4 | 8

6 | 12

10 | 20

To find the factor by which the total cost increases, we need to compare the change in total cost to the change in weight. Let's consider the first and last entries in the table:

Initial weight: 1 lb

Initial total cost: 2 S

Final weight (increased by a factor of 4): 4 * 1 lb = 4 lb

Final total cost: 8 S

The change in weight is from 1 lb to 4 lb, which is a factor of 4. The change in total cost is from 2 S to 8 S, which is also a factor of 4.

Therefore, when the weight of apples is increased by a factor of 4, the total cost also increases by a factor of 4. The correct answer is 4, not 8.

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Step-by-step explanation:

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Answer is in the attached png file

The two pairs of Adjacent angles in the figure are:

∠1 and ∠3, ∠3 and ∠7.

The correct option is c.

In the given diagram with two intersecting lines and angles ∠1, ∠3, ∠5, and ∠7, the adjacent angle pairs are as follows:

Adjacent angles to ∠1:

∠1 and ∠5

∠1 and ∠3

Adjacent angles to ∠3:

∠3 and ∠1

∠3 and ∠7

Adjacent angles to ∠5:

∠5 and ∠1

∠5 and ∠7

Adjacent angles to ∠7:

∠7 and ∠3

∠7 and ∠5

Adjacent angles are angles that share a common side and a common vertex, where the vertex is the point of intersection between the two lines. In this case, the adjacent angle pairs can be identified based on their relationship to each angle (∠1, ∠3, ∠5, ∠7) and the intersecting lines.

from the given choices,

∠1 and ∠3, ∠3 and ∠7

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Answer:

First line

Step-by-step explanation:

It's an X-intercept line so you're plugging in the number that the dot is on in place of the X in the formula

Answer:The Answer is Answer is B

The approximate number of DVDs in Paulette’s collection after 14 months is 75 DVDs.

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

We have,

let the collection of DVDs ne n and the time spend is m.

and, the Equation for the situation is

n = 1.8 m + 25

Now, the number of DVDs in collection after 14 months is

= 1.8 (14)+ 25

= 50.2

So, the total number of DVDs are

= 50 + 25

= 75

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