need help with both lots of points show work

Given the information, we can see that anthony has 7 correct answers and 3 incorrect in 10 questions, therefore, we can calculate the direct proportion solving for x:

Therefore, Anthony would be expected to answer incorrectly 9 questions

It's important to know that proper fractions like 2/3 are between 0 and 1, specifically, 2/3 is equal to 0.67.

Now, we have three numbers, 0.67, 1.75, and -0.75. If we organize the numbers from least to greatest we have -0.75, 0.67, and 1.75. Then, we use the inequality symbols to express this order.

The symbols are telling us that -0.75 is less than 2/3, and 2/3 is less than 1.75.

Now, let's graph this relation between the three numbers.

35

Step-by-step explanation:

3x3x3x3x5x7

hope it helps have a nice day with apples

The number of groups of 1/9 in 2 are 18.

The value of 2 ÷ (4/9) = 9/2.

We can see a number line with equal intervals of 1/9.

We have to find the number of groups of 1/9 in 2 and the value of 2 ÷ (4/9) .

As we can see in the number line,

2 is two intervals after 16/9 , hence,

2 = 16/9 + 1/9 + 1/9 = 16/9 + 2/9 = 18/9

We can write it as,

(1/9)*18

Hence, there are 18 groups of 1/9 in 2.

The value of  2 ÷ (4/9) = 2*(9/4) = 18/4 = 9/2.

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Answer:

x = -2

Step-by-step explanation:

x is represented by the horizontal axis, so read up from the given point to find where it would lie on the x axis.

Answer:

The first of the congruency theorems is

1) SSS :

Side-Side-Side or SSS is a kind of triangle congruence rule where it states that if all three sides of one triangle are equal to all three corresponding sides of another triangle, the two triangles are considered to be congruent. Two or more triangles are said to be congruent when the measurements of the corresponding sides and the corresponding angles are equal.

2) SAS:

SAS congruence is the term which is also known as Side Angle Side congruence, which is used to describe the relation of two figures that are congruent. Let's discuss the SAS congruence of triangles in detail to understand the meaning of SAS

Consider the two tringles blelow

Under this criterion, if the two sides of a triangle are equal to the two sides of another triangle, and the angle formed by these sides in the two triangles are equal, then these two triangles are congruent. The SAS Criterion stands for the 'Side-Angle-Side' triangle congruence theorem.

3) AAS:

The AAS Theorem says: If two angles and the non-included side of one triangle are congruent to the corresponding parts of another triangle, the triangles are congruent. Notice how it says "non-included side," meaning you take two consecutive angles and then move on to the next side (in either direction).

4) ASA:

The Angle-Side-Angle Postulate (ASA) states that if two angles and the included side of one triangle are congruent to two angles and the included side of another triangle, then the two triangles are congruent.

5)HL:

The HL Theorem states; If the hypotenuse and one leg of a right triangle are congruent to the hypotenuse and one leg of another right triangle, then the triangles are congruent.

The coordinates of the extreme value or the vertex of the parabola is the (h, -c) of the equation form y = (x - h)² - c.

[tex]-2f(x)\implies -2[\log_2(x)]\implies \log_2\left( x^{-2} \right)\implies \log_2\left( \cfrac{1}{x^2} \right)=g(x) \\\\[-0.35em] ~\dotfill\\\\ f(x-2)\implies \log_2(x-2)=j(x) \\\\[-0.35em] ~\dotfill\\\\ f(x)+2\implies \log_2(x)+2=h(x)[/tex]

Given:

KP = PL

GH = 36 ft

Let's find the measure of arc GM.

Apply the angle arc relationship to find the measure of angle KGL:

GKP + GLP + KGL + KGP = 360 degrees

90 + 90 + 26 + KPL = 360

206 + KPL = 360

Subtract 206 from both sides:

206 - 206 + KPL = 360 - 206

KPL = 154 degrees

To find the measure of arc GM, we have:

Therefore, the length of arc GM is 77 degrees

ANSWER:

77°

Answer:

y = 24x + 80

Where x is the number of weeks of saving and y is the dollar amount in her savings

Explanation:

We need to find the equation of the line. If x is the number of weeks of saving and y is the amount in her savings, the equation has the following form

y = mx + b

Where m is the slope and b is the y-intercept.

The slope can be calculated using two points in the line (x1, y1) and (x2, y2) as follows

Then, replacing (x1, y1) = (0, 80) and (x2, y2) = (5, 200), we get:

Additionally, the y-intercept is the point where the graph crosses the y-axis. In this case, the point is (0, 80), so the value of b is 80.

Therefore, the equation of the line is

y = 24x + 80

Where x is the number of weeks of saving and y is the dollar amount in her savings

Answer:

3.  72 questions

4.  180 students

5.  120 students

6.  9 puzzles

Step-by-step explanation:

[tex]\begin{aligned}\implies \rm 80\% \;of \; 90 \; questions & =80\% \times 90\\&= \dfrac{80}{100} \times 90\\& = \dfrac{7200}{100}\\& = 72\end{aligned}[/tex]

Therefore, a student must answer 72 questions correctly to pass the test.

[tex]\begin{aligned}\implies \rm 40\%\; of\; 450\; students & = 40\% \times 450\\& = \dfrac{40}{100} \times 450\\& = \dfrac{18000}{100}\\& = 180\end{aligned}[/tex]

Therefore, at least 180 students must plan to attend in order for the school to have the festival.

[tex]\begin{aligned}\implies \rm 40\% \; of \; 300 \; students & = 40\% \times 300\\& = \dfrac{40}{100} \times 300\\& = \dfrac{12000}{100}\\& = 120\end{aligned}[/tex]

Therefore, 120 students chose recycling.

If 55% of 20 puzzles are completed, then 45% of 20 puzzles are left to complete, since 100% - 55% = 45%.

[tex]\begin{aligned}\implies \rm 55\% \; of \; 20 \; puzzles & = 45\% \times 20\\& = \dfrac{45}{100} \times 20\\& = \dfrac{900}{100}\\& = 9\end{aligned}[/tex]

Therefore, Magdalena has 9 puzzles left to complete.

The vertex of the given graph is (0,5).

The axis of symmetry is y = 5x.

The number of zeroes are 3.

The x intercepts are 0 and -5.

the y intercepts are (-3,0) and 0,-3).

A quadratic function's graph is called a parabola. According to Pascal, a parabola is a circle's projection. Galileo explained that projectiles falling under the influence of homogeneous gravity have a path known as a parabolic path. Many bodily movements have a curvilinear course with the shape of a parabola. In mathematics, a parabola is any mirror-symmetrical plane curve that typically has the shape of a U. Here, our goal is to comprehend the origin of the parabola's standard formula, its several standard forms, and its characteristics. A parabola is an equation of a curve where a point on the curve is equally far from a fixed point.

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An equivalent equation to show how many kilometers Lamel skated around the rink is x - 5/2.

Linear equations in one variable

The linear equations in one variable is an equation which is expressed in the form of ax+b = 0, where a and b are two integers, and x is a variable and has only one solution.

For example, 2x+3=8 is a linear equation having a single variable in it.

Given that Layla skated x kilometers around the rink, Lamel skated 5/2 less than Layla.

Therefore Lamen skated x - 5/2 kilometers, as Lamen skated 5/2 less than the kilometers skated by Layla

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we have the function

In this problem, we have an exponential decay function because the value of the base of the exponential function is less than 1

b=0.75

Part b

Find out the annual percent decrease

b=0.75

b=1-r

0.75=1-r

r=1-0.75

r=0.25

r=25%

therefore

Part c

For y=$50

substitute in the given equation

Solve for t

Apply log on both sides

Solution

Draw the diagram

So using cosine rule

Answer

Rate change = 1

Step-by-step explanation:

Rate change means the slope on the graph

Slope = rise / run

Rise = y2 - y1

Run = x2 - x1

Slope = y2 - y1 / x2 - x1

From the graph, Given the picked points

(5, 5) and (-5, -5)

x1 = 5, y1 = 5, x2 = -5, and y2 = -5

Slope = -5 - 5 / -5 -5

Slope = -10 / -10

Slope = 1

Hence, the rate change is 1

Given that:

- The graphs have no scales assigned to them.

- You have to identify the ones that could be density curves for a continuous random variable assuming that they have the right scale.

Then, in order to solve this exercise, you need to remember the following:

1. A Probability Density Function is useful to define the probability of a random variable within a distinct range of values.

2. It is also known as PDF.

3. The Probability Density Function is always positive in all its Domain.

4. The total enclosed area under the curve of the function is:

Knowing all these concepts, you can identify that:

- In graph B the area under the curve is 0. Therefore, this cannot be the graph asked in the exercise.

- In Graph C, the function is not positive in its Domain. Therefore, this does not satisfy the properties mentioned before.

Hence, the answers are:

- Option A.

- Option D.

- Option E.

Answer:

See picture below

Step-by-step explanation:

It took a long time for my picture to show up.

With the translation rule given by (x,y) -> (x - 4, y), the function will move 4 units left.

A translation is one of the many transformations that can be applied to the vertices of a figure. Other examples are stretch, compression, rotation, reflection, dilation and so on.

Each of these transformations has their respective characteristics regarding what they change on the transformed figure. For a translation, the figure will move either left, right, up or down(may be more than one of those), keeping it's orientation and congruence.

In the context of this problem, the rule for the translation is given by:

(x,y) -> (x - 4, y)

Hence the meaning is given as follows:

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Given in the scenario:

a.) One Dollar and Thirty Nine, in digit, is equal to $1.39.

The digit 3 in $1.39 is in the Tenth (0.1) decimal place.

Therefore, the digit has a value of 3 x 0.1 dollars which is equal to $0.3.

The answer is letter D.

The coefficient of z² is 25 and the constant term is 28. The product of 25 and 28 is 700. The factors of 700 which sum to -55 are -20 and -35, so:

The option that takes samples putting the entire families of the students into account is the last option.

Option J is the correct answer

The value of the base number, r is 75 and the corresponding algebraic expression is 0.2r = 15.

What is an algebraic expression and how is it formed?
Variables and constants are used to create algebraic expressions using a variety of techniques. It is a mathematical expression made up of terms and includes variables, constants, and algebraic operations like addition, subtraction, etc. When operations like addition, subtraction, multiplication, division, etc. are performed on any variable, the resulting equations are called algebraic expressions. An algebraic expression (or variable expression) is a grouping of terms that have undergone operations like addition, subtraction, multiplication, division, etc.

Given, the base number is = r
One fifth of the base number will be = (1/5)r = 0.2r
Also, one fifth of r is 15, thus 0.2r = 15 ⇒ r = 15/0.2 = 75
Thus, the value of the base number, r is 75 and the corresponding algebraic expression is 0.2r = 15.

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The algebraic expression "One fifth of r is 15" is represented as r/5 = 15. Solving for r, r = 75.

Let's break this down step-by-step:

1. "One fifth of r" means you are dividing r by 5, which in algebraic terms would be represented as r/5.

2. The phrase "is" in algebra typically signifies the equals sign (=).

3. Finally, "15" is just the number 15.

Putting these together, the algebraic expression for "One fifth of r is 15" is r/5 = 15.

To clarify this further, this equation is saying that if you take the value of r, divide it by 5, the result should be 15. This is an equation you can solve to find the value of r.

If you're curious, solving this equation for r would look like this:

Step 1: Start with the equation r/5 = 15.
Step 2: To isolate r, you need to get rid of the division by 5. You can do this by multiplying both sides of the equation by 5.
Step 3: This gives you r = 15 * 5.
Step 4: Calculate 15 * 5 to get 75. So r = 75.

So, if one fifth of r is 15, then r would be 75.

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The formula for calculating the slope of a line is

Hence, the slope of the line is -3/2 or -1.5

Looking at the figure, the faces of the solid figure will be made from each small triangle in the 2D figure, so since we have 4 small triangles, the solid figure will have 4 faces.

Also, the central small triangle will be the base of the solid figure, and there we have 3 vertex. Each vertex of the bigger triangle will unite and become only one vertex in the solid figure, so in total we will have 4 vertices.

Then, for the number of edges, we have the 3 edges of the base of the solid figure, and we have more 3 edges, each one going from one vertex of the base into the fourth vertex of the solid figure. So in total we have 6 edges.

It's easier to see and count this amount of faces, vertices and edges when we fold the 2D figure and create the solid figure:

Answer:

y=(3/2)x+5

Explanation:

Given a line with a slope of 3/2 that passes through the point (-8, -7).

To determine the equation of the line, we first use the point-slope form below.

Substituting, we have:

Next, we express the line in the slope-intercept form (y=mx+b).

The equation of the line in slope-intercept form is:

The probability that a classmate picked at random will participate in both basketball and baseball is 0.2.

The area of mathematics known as probability explores potential outcomes of events as well as their relative probabilities and distributions.

Given: In a particular Algebra 2 class of 30 students, 8 play basketball and 10 play baseball. There are 18 students who participate in neither sport.

Let n denote the number of students who participate in basketball and baseball.

The number of students that play both games: 30 =  18 - n + 8 - n +  10 + n  

30 = n + 36

n = 36 - 30 = 6

Probability = 6/30 = 0.2

Therefore, the probability that a student chosen at random from the class will play both basketball and baseball is 0.2.

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An equation that models the number of people employed in some country as medical assistant in the last year x is y = 359 + 14.35x

In this question, we have been given the number of people employed in some country as medical assistant.

We need to write an equation that models the number of people employed in some country as medical assistant in the last year x.

the number of people employed in some country as medical assistant:

in 2004 = 359 thousand

and by 2014 this number is expected to be  560 thousand.

We find the rate of employment.

Consider (x1, y1) = (0, 359) and (x2, y2) = (14, 560)

m = (560 - 359)/(14 - 0)

m = 201/14

m = 14.35

We have been given the line must pass through points (0, 359) and (14, 560)

And, we get the y-intercept c = 359

with slope m = 14.35 and y-intercept c = 359, the equation of the line would be,

y = 14.35x + 359

Therefore, an equation that models the number of people employed in some country as medical assistant in the last year x is y = 359 + 14.35x

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