Polygon AVCs Slides 4 Units Left And 3 Units Up On The Coordinate Plane. If The Original Measure Of Angle (2024)

It should be noted that Barbara asserts that at least one team will end up with more than 5 medals. In this case,she's correct as a team will have 6 medals.

How to illustrate the information?

From the information, Barbara is in charge of the award medals for a sporting event and she has 31 medals to present to various individuals on 6 competing teams.

It should be noted that each team will get:

= 31 / 6

= 5 remainder 1

Therefore, she asserts that at least one

team will end up with more than 5 medals. In this case, she's correct.

Learn more about expressions on:

brainly.com/question/723406

#SPJ1

Answer:0.33

Step-by-step explanation:

I used a calculator

z = 20 x/y is the variation of equation.

How to write the function that models the relationship?

A relationship between a set of values for one variable and a set of values for other variables is known as a variation.

One of the most fundamental concepts in mathematics is the idea of a function, in part because functions are a useful tool for describing and illuminating patterns.

given that

z=30 when x=3 and y=2

z varies directly with x that means z is directly proportional to x.

z = kx .................(1)

z varies inversely with y means z is inversely proportional to y.

z = k 1/y ................(2)

both equation 1 and 2

z = k x/y

k = zy/x

now, find the value of k using given information.

k = 30(2)/3

k = 60/3

k = 20

now,

z = k x/y

z = 20 x/y

This is the variation of equation.

Learn more about variation equations from here:

https://brainly.com/question/13998680

#SPJ4

The solution of the expression – 25 ÷ – 13 – 35 × – 23 is 806 12/13

What are expressions?

Expressions are mathematical statements that are represented by variables, coefficients and operators

How to determine the solution of the expression?

The expression is given as

– 25 ÷ – 13 – 35 × – 23

Evaluate the quotient

So, we have

– 25 ÷ – 13 – 35 × – 23 = 25/13 – 35 × – 23

Evaluate the product

So, we have

– 25 ÷ – 13 – 35 × – 23 = 25/13 + 805

Evaluate the sum

So, we have

– 25 ÷ – 13 – 35 × – 23 = 805 25/13

Divide the fraction

So, we have

– 25 ÷ – 13 – 35 × – 23 = 805 + 1 12/13

Evaluate the sum

So, we have

– 25 ÷ – 13 – 35 × – 23 = 806 12/13

Hence, the solution of the expression – 25 ÷ – 13 – 35 × – 23 is 806 12/13

Read more about expressions at

https://brainly.com/question/723406

#SPJ1

The logarithmic form of the given equation is log₃(1) = 0.

A logarithm is the degree to which a number must be raised in order to produce another number. For instance, the logarithm of 100 in base ten is 2, since ten multiplied by two equals 100: log 100 = 2, since 10² = 100.

The given equation is 1 = 3⁰

To convert this exponential form into logarithmic form, we are required.

Consider the given exponential form:1 = 3⁰

Taking logarithm on both sides with the base as 3, we get,⇒ log₃(1) = log₃(3⁰)

Now using the logarithmic rule logₐ(aⁿ) = n × logₐ(a) in the RHS of the above equation, we get

⇒ log₃(1) = 0 × log₃(3)

⇒ log₃(1) = 0 (Because 0 multiplied by any number equals zero,)

Therefore, the value of 1 = 3⁰ is given by log₃(1) = 0.

Learn more about logarithmic here https://brainly.com/question/25710806

#SPJ4

Answer:

Step-by-step explanation:

When we apply the exponent rule: [tex](\sqrt[n]{x})^n = x[/tex]

[tex](\sqrt[3]{9})^2 * (\sqrt{20})^2 = 30(\sqrt[3]{9})^2[/tex]

[tex]= \mathrm{Decimal:\quad }\:129.80246\dots[/tex]

one serving is 432/19=27

27g are in one serving

Riley needs 18 rooms for 72 puppies.

What is Division method?

Division method is used to distributing a group of things into equal parts.

Given that;

Riley works for puppy shelter moving to a new building.

The rooms in the new building are built to hold 4 puppies each.

Now, There are 1 room for 4 puppies.

Number of room for 4 puppies = 1

Hence, Number of room's for 72 puppies = 1/4 × 72

= 72/4

= 18

So, Riley needs 18 rooms for 72 puppies.

Learn more about the division method visit:

https://brainly.com/question/20066515

#SPJ1

The value of the expression log ₁₂20 is 4.33.

Given that the expression is log ₁₂20.

We are required to find the value of the expression by using the change of base formula.

The change of base theorem is used by a person when we have been given logarithm values with different bases.

(We know that [tex]log _{a} b[/tex]=log b/ log a)

The expression is log ₁₂20.

log ₁₂20=log 20/log 12

Now we have to use values of log in the above expression to find its value.

=1.30/0.30

=4.33

Hence the value of the expression log ₁₂20 is 4.33.

Learn more about change of base theorem at https://brainly.com/question/14998693

#SPJ4

The factoring of the expression x²+ 4x+4 is (x+2)²

To solve this exercise, we have to follow the rules of factoring:

x²+ 4x + 4

1. Looking for the a and b number that state the following equations:

a + b = 4a * b = 4

Analyzing that (a*b) is a positive number, it means that (a) and (b) have the same signs.

The number could be:

a = 2

b = 2

Confirming:

a + b = 2 + 2 = 4

a * b = 2 * 2 = 4

2. Rewriting the factored expression (x+a)(x+b) with the obtained values, we get:

(x+2) (x+2)

3. Rewriting as the square of a binomial, we get:

(x+2)²

What is factoring?

Is a technique that consist of decomposition of a factor into a product of another factor, which when multiplied together give the original number.

Learn more about factoring at brainly.com/question/24734894

#SPJ4

Answer:

Bro Im not gonna give u answer but im gonna give hint. I think u should make a chart with all possibilties and see how many of them can add upt o 11.

The Simplest form of the expression = [tex]2^{-16} x^{-1} y^{-4}[/tex]

We need to express as:

[tex]a^{m}[/tex]/[tex]a^{n}[/tex] = [tex]a^{m-n}[/tex]

As the expression is given :

[tex](16 x^{1/4}y^{3/3} ) ^{-4}[/tex]

= 1/ [tex](16 x^{1/4} y^{3/3}) ^{4}[/tex]

= 1/[tex](2^{4} x^{1/4} y^{3/3}) ^{4}[/tex]

= 1/[tex](2^{16} x^{1} y^{4} )[/tex]

= [tex]2^{-16} x^{-1}y^{-4}[/tex] (Simplest form of the equation)

To know more about the simplest form of the expression refer to the link given below:

https://brainly.com/question/21527775

#SPJ4

Answer:

x = 4

Step-by-step explanation:

[tex]\frac{x}{7}[/tex] = [tex]\frac{28}{49}[/tex] ( cross- multiply )

49x = 7 × 28 = 196 ( divide both sides by 49 )

x = 4

x = 3 and x = 6 is extraneous solution.

√(x+7) +5=x

Subtracting 5 on both sides of the equation

√(x+7) + 5 - 5 = x - 5

√(x+7) = x - 5

Squaring both sides of the equation

(√(x+7))² = (x - 5)²

x + 7 = x² + 25 - 10x

x² - 9x + 18 = 0 ...(1)

By middle term splitting equation (1) can be written as

x² - 6x - 3x + 18 = 0

x(x - 6) -3(x - 6) = 0

(x - 3)(x - 6) = 0

x - 3 = 0 and x - 6 = 0

x = 3, 6

Check extraneous solution by putting the value of x in the original equation, we get

Let x = 3

√(3+7) +5 = 3

✓10 + 5 = 3

which is a contradiction, so, x = 3 is an extraneous solution.

Let x = 6

√(6+7) +5 = 3

✓13 + 5 = 3

which is a contradiction, so, x = 6 is an extraneous solution.

Know more about extraneous solution:

brainly.com/question/1511979

#SPJ4

Answer:

1/3 or 1 over 3 but that is the correct answer

On average, the number of miles the athlete ran per day is; 18/5 or 3.6 miles per day

How to calculate the average distance?

We are given;

Number of days the athletes ran = 3¹/₂ days = 7/2 days

Total distance ran in the given time = 12³/₅ miles = 63/5 miles

Now, the average distance will simply be given by the expression;

Average Distance = Total Distance/Number of days of running

Now, let us convert the fractions to improper fraction for easy division. Thus, we have;

Number of days the athletes ran = 7/2 days

Total distance ran in the given time = 63/5 miles

Thus;

Average Distance = (63/5)/(7/2)

Average distance = 63/5 * 2/7 = 18/5 = 3.6 miles per day

Read more about Average distance at; https://brainly.com/question/4931057

#SPJ1

Answer: True

Reason:

The counting numbers, aka the set of natural numbers, is the set {1, 2, 3, 4, 5, ...} which is the set of positive integers

A value like 5 is the same as 5/1, which shows it is rational.

A rational number is any fraction of two whole numbers (eg: 2/3 and 4/7). The denominator cannot be zero.

Since we can rewrite the 5 as 5/1, it can be done with any counting number to show the natural numbers is a subset of the rational numbers.

Any counting number is rational, but not the other way around.

If Brad has $272 now and lent his friend Jorge $10, his monthly allowance is $47.00

What is the total monthly allowance over 6 months?

Brad total monthly allowance over 6 months is the sum of the amount lent to Jorge and the balance Brad has currently which is $272

total allowances for 6 months=$272+$10

total allowances for 6 months=$282

monthly allowance=total allowances for 6 months/6 months

monthly allowance=$282/6

monthly allowance=$47.00

Find out more about monthly allowance on:https://brainly.com/question/8790463

#SPJ1

Considering the definition of an equation and the way to solve it, the correct answer is the third option: Cadence baked 21 cupcakes on Monday.

Definition of equation

An equation is the equality existing between two algebraic expressions connected through the equals sign in which one or more unknown values, called unknowns.

The members of an equation are each of the expressions that appear on both sides of the equal sign.

The solution of a equation means determining the value that satisfies it. To solve an equation, keep in mind:

When a value that is adding, when passing to the other member of the equation, it will subtract.If a value you are subtracting goes to the other side of the equation by adding.When a value you are dividing goes to another side of the equation, it will multiply whatever is on the other side.If a value is multiplying it passes to the other side of the equation, it will pass by dividing everything on the other side.

Cupcakes baked on Monday

Being "x" the number of cupcakes baked by Cadence on Monday, and knowing that:

Cadence baked 45 cupcakes on Tuesday. The number of cupcakes baked on Tuesday was 3 more than twice the number of cupcakes she baked on Monday.

the equation in this case is:

3 + 2x= 45

Solving:

2x= 45 -3

2x= 42

x= 42 ÷ 2

x= 21

Finally, the correct answer is the third option: Cadence baked 21 cupcakes on Monday.

Learn more about equations:

brainly.com/question/4983716

brainly.com/question/13314678

#SPJ1

Point of discontinuity for each rational function. y= x-1 / (x+1)² is x = -1

What is the discontinuity of a function?

In algebra, a discontinuous function is one that has a point at which the function is not defined, at which the left-hand limit and right-hand limit are equal but not equal to the value of the function at that point, or at which the limit of the function does not exist. Discontinuous functions may have three different sorts of discontinuities: jump, removable, and essential. The graph of a discontinuous function contains gaps.

Given the function is -

y= x-1 / (x+1)²

It can be expressed in the form of -

y = x-1 / (x+1)(x+1)

The function will be undefined if the denominator will be 0

⇒ x+1 = 0

⇒ x = -1

So we can conclude that the function will be undefined at point x = -1

To learn more about discontinuity from given link

https://brainly.com/question/10957479

#SPJ4

Answer: 69

Step-by-step explanation:
34
+
35
=
69

Answer:

69

Step-by-step explanation:

30 + 30 = 60

4 + 5 = 9

60+9= 69

Basic addition, also can be solved with a calculator

Hope this helped :)

The probabilities of all possible outcomes must sum to 1. So the missing probability is

1 - 1/2 - 3/10 - 1/20 = (20 - 10 - 6 - 1)/20 = 3/20

Answer:

I believe it’s 20

Step-by-step explanation:

1st: 2x-2

2nd: 2x

3rd: 2x+2----

sum = 54

6x = 54

x = 9

1st: 2x-2 = 16

2nd: 2x = 18

3rd: 2x+2 = 20

Answer:

T=x(T*2) where X=660

Step-by-step explanation:

If it has been 2 hours than t=2

plug in 2 for t and you get x*4

The rate of falling temperature is 5 1/3 degrees per hour.

What do you mean by the rate of temperature?

This indicates the sensitivity of the reaction to change in temperature.

Given that;

The temperature fell 4 degrees in 3/4 of an hour.

So, we can set up a proportion to see how much temperature fell in an hour,

[tex]\frac{4}{3/4} = \frac{x}{1}[/tex]

4 /0.75 = x

x = 5 1/3

Hence, The rate of falling temperature is 5 1/3 degrees per hour.

Learn more about the falling temperature visit:

https://brainly.com/question/25677592

#SPJ1

The value of the quadratic equation 2x^2 - 10x + 13 when x = 2 is 1

What are quadratic equations?

Quadratic equations are second-order polynomial equations and they have the form y = ax^2 + bx + c or y = a(x - h)^2 + k

How to determine the value of the quadratic equation?

The quadratic equation is given as

2x^2 - 10x + 13

When the value of x is 2, the quadratic equation becomes

2x^2 - 10x + 13 = 2 x 2^2 - 10 x 2 + 13

Evaluate the exponent

So, we have

2x^2 - 10x + 13 = 2 x 4 - 10 x 2 + 13

Evaluate the product

So, we have

2x^2 - 10x + 13 = 8 - 20 + 13

Evaluate the difference

So, we have

2x^2 - 10x + 13 = -12 + 13

Evaluate the sum

So, we have

2x^2 - 10x + 13 = 1

Hence, the value of the quadratic equation 2x^2 - 10x + 13 when x = 2 is 1

Read more about quadratic equation at

https://brainly.com/question/1214333

#SPJ1

Complete question

What is the value of 2x^2-10x+13 when x = 2

We will know 8 complete names after 2 days and 20 complete names after 8 days.

Here, we are given an exponential function: f(t)= c{1- [tex]e^{-kt}[/tex]}

where f(t) = number of tasks learned.

c = total number of tasks to be learned

k = rate of learning

t = time

Now, when we move to a new school, number of names we need to learn ⇒ c = 25

learning rate for new tasks = 20%

⇒ k = 0.2

and time = 2 days

⇒ t = 2

Substituting these values in the given function we get-

f(2) = 25{1- [tex]e^{-0.2 *2}[/tex]}

= 25{1- [tex]e^{-0.4}[/tex]} [tex]e^{-0.4}[/tex]

= 0.67

Thus, f(2) = 25( 1-0.67 )

f(2) = 25(0.33)

f(2) = 8.25

Thus, we will be able to learn 8 complete names in 2 days.

If t = 8f(8) = 25{1- [tex]e^{-0.2 * 8}[/tex]}

= 25{1- [tex]e^{-1.6}[/tex]}

= 25(1- 0.20)= 25(0.80)

= 20

Thus, we will be able to learn 20 complete names in 8 days.

Learn more about the exponential function here-

https://brainly.com/question/2456547

#SPJ4