choose the figures that are polygons​

Answer:

y = 5

Step-by-step explanation:

2y - 3.5 = 6.5

Add 3.5 to both sides.

2y = 10

Divide both sides by 2.

y = 5

(f ∘ g)(x) = 1/(5x+4). To find (f ∘ g)(0), we need to first evaluate g(0) which is equal to 9. Then we plug this value into f(x) and get f(g(0)) = f(9) = 1/(9-5) = 1/4. Therefore, (f ∘ g)(0) = 1/4.

To find (f ∘ g)(x), we substitute g(x) into f(x) to get f(g(x)) = 1/(5x+9-5) = 1/(5x+4). Therefore, (f ∘ g)(x) = 1/(5x+4).

Step 1: Find (f ∘ g)(x) by plugging g(x) into f(x) as the input.
(f ∘ g)(x) = f(g(x))
= f(5x + 9)

Step 2: Replace the input x in f(x) with g(x).
= 1 / ((5x + 9) - 5)

Step 3: Simplify the expression.
= 1 / (5x + 4)

So, (f ∘ g)(x) = 1 / (5x + 4).

Step 4: Now, let's find (f ∘ g)(0) by plugging x = 0 into the composition (f ∘ g)(x).
(f ∘ g)(0) = 1 / (5(0) + 4)

Step 5: Simplify the expression.
= 1 / 4

Therefore, (f ∘ g)(0) = 1/4.

In summary:
(f ∘ g)(0) = 1/4
(f ∘ g)(x) = 1 / (5x + 4)

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The scale that she can use for the vertical axis to maximize the difference in the heights of the bars is option c, 10-50.

To maximize the difference in the heights of the bars, she needs to choose a scale that covers the range of values represented by the data while minimizing the unused space on the vertical axis.

Option a, 0-50, would cover the entire range of values but may result in a lot of unused space if the data values are relatively small.

Option b, 0-40, would restrict the range of values and may not fully represent the differences between the heights of the bars.

Option c, 10-50, is a suitable choice as it covers the range of values and allows for differentiation between the heights of the bars. It eliminates unnecessary empty space below 10, focusing on the relevant range of data.

Option d and e, 25-40, restrict the range even further and may not adequately capture the differences between the heights of the bars.

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Answer:

6o×40=2400

area 1/4=2400÷4=600

area 1/6=600÷6=100

(d)=100 ft2

Answer:

70 degrees

Step-by-step explanation:

The angle opposite x and x itself are vertical angles, meaning that they have the same angle measure. Since the sum of the interior angles of a triangle is 180 degrees:

x+55+55=180

x+110=180

x=180-110=70

Hope this helps!

Answer:

x=8

Area= 60

Step-by-step explanation:

1. Use the Pythagorean Theorem: a^2+b^2=c^2.

c is always the longest side of the triangle, or the hypotenuse. The other two variables can be interchanged.

Let's plug the numbers into the equation now.

a^2+15^2=17^2

2. Square the two numbers you are given and isolate a.

15^2 (or 15 x 15) = 225

17^2 (or 17 x 17) = 289

So, the equation becomes: a^2 + 225 = 289

To get a by itself, subtract 225 from both sides and take the square root of the result

289-225= 64

√64 = 8

a= 8. x=8

3. Now that you have x, you can calculate the area if the triangle. The area formula for triangles is 1/2 base x height

Base is 15 and height is 8

15 x 8 = 120

120 x .5 = 60

Using Pythagoras theorem ,

Hypotenuse² = Base² + Height²

→ 17² = 15² + x²

→ 289 - 225 = x²

→ 64 = x²

→ x = √64

→ x = 8cm

Area = 1/2 × Base × height

=> 1/2 × 15 × 8

=> 2 × 15

=> Area = 30cm²

Answer:134

Step-by-step explanation:

The measure of CED is 46°. The correct option is C. 46°

From the question, we are to calculate the measure of angle CED

From the given diagram, we can write that

∠AED + ∠CED = 180° (Sum of angles on a straight line)

From the given information,

∠AED = 134°

Thus,

134° + ∠CED = 180°

∠CED = 180° - 134°

∠CED = 46°

Hence, the measure of CED is 46°. The correct option is C. 46°

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In a multiple regression model, the variance of the error term e is assumed to be the same for all values of the independent variable. Therefore, the correct option is C) the same for all values of the independent variable.

In multiple regression, we use several independent variables to predict the values of the dependent variable. The model estimates the relationship between the independent variables and the dependent variable by calculating the coefficients of the independent variables.

The error term e represents the difference between the predicted value of the dependent variable and the actual value of the dependent variable.

The assumption of constant variance of the error term e is known as homoscedasticity. It means that the variance of the errors is the same for all levels of the independent variables.

This assumption is important because, if the errors have different variances across the levels of the independent variable, the model may not accurately capture the relationship between the independent variables and the dependent variable, leading to biased and unreliable results. so, the correct answer is C).

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Answer:

Step-by-step explanation:

use https://quizlet.com/282243546/circumference-flash-cards/ to find it

Answer:x=33.6

Step-by-step explanation:

You would set up the equation 6/5 = x/28 Then you would cross multiply 6•28 then divide by 5

Answer:

Answer:33.6

Step-by-step explanation:

I just know it.

Answer:

I think It's A and B. With you best of luck.

Step-by-step explanation:

Answer:

Last one

Step-by-step explanation:

The last polynomial terms are ordered by the value of the exponent. It decreases

● x^9 => x^4 => x^0

So it is in the standard form

The surface area of the given cuboid is 228 cm².

What is surface area of a cuboid?

The surface area of a cuboid is a measure of the total area of its six faces. It is an important concept in geometry and is used in many real-life applications. For example, when calculating the amount of paint needed to cover the walls of a room, you would need to know the surface area of the walls. Similarly, when designing packaging for a product, you would need to know the surface area of the box to determine the amount of material required to make it.

To find the surface area of a cuboid, you need to add up the areas of all six faces.

Given the dimensions of the cuboid as,

Length = 9 cm

Breadth = 4 cm

Height = 6 cm

The surface area of the cuboid can be calculated as follows,

Area of the top face = length × breadth = 9 cm × 4 cm = 36 cm²

Area of the bottom face = length × breadth = 9 cm × 4 cm = 36 cm²

Area of the front face = breadth × height = 4 cm × 6 cm = 24 cm²

Area of the back face = breadth × height = 4 cm × 6 cm = 24 cm²

Area of the left side face = length × height = 9 cm × 6 cm = 54 cm²

Area of the right side face = length × height = 9 cm × 6 cm = 54 cm²

Therefore, the total surface area of the cuboid is the sum of all six faces, which is:

Surface Area = 2 × (length × breadth + breadth × height + length × height)

Surface Area = 2 × (9 cm × 4 cm + 4 cm × 6 cm + 9 cm × 6 cm)

Surface Area = 2 × (36 cm² + 24 cm² + 54 cm²)

Surface Area = 2 × 114 cm²

Surface Area = 228 cm²

Therefore, the surface area of the given cuboid is 228 cm².

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(a) A basis for the solution space of the homogeneous system of linear equations is:

{(-3, 1, 0, 0), (-5, 0, -5, 1)}

(b) The dimension of the solution space is 2.

To find a basis for the solution space, we first write the augmented matrix of the system and row-reduce it to its echelon form or reduced row-echelon form.

Then, we identify the free variables (variables that can take any value) and express the dependent variables in terms of the free variables. The basis for the solution space consists of the vectors corresponding to the free variables.

In this case, after performing row operations, we obtain the reduced row-echelon form:

[1 0 -1 -1 0]

[0 1 3 2 0]

[0 0 0 0 0]

The first and second columns correspond to the free variables x3 and x4, respectively. Setting these variables to arbitrary values, we can express x1 and x2 in terms of x3 and x4 as follows: x1 = -x3 - x4 and x2 = -3x3 - 2x4. Therefore, a basis for the solution space is {(-3, 1, 0, 0), (-5, 0, -5, 1)}.

Since the basis has 2 vectors, the dimension of the solution space is 2.

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Answer:

Brainlyest answer plz

Answer:

IJ=77

Step-by-step explanation:

\(\frac{35}{20} =\frac{IJ}{44}\)

\(20IJ=1540\)

\(IJ=77\)

Answer:

the domain of f(x) = 1/2(x + 1) + 3 on this graph is [-6,-1] because there are solid dots on -6 and -1

the domain of f(x)=2 on this graph is (-1,2] because there is an open circle on -1 and a solid circle on 2

the domain of f(x) = -2(x - 2) + 1 is (2,6] because there is an open dot on 2 and a solid circle on 6

The domain of the given all three functions are explained below.

A relationship between a group of inputs and one output is referred to as a function. In plain English, a function is an association between inputs in which each input is connected to precisely one output. A domain, codomain, or range exists for every function. Typically, f(x), where x is the input, is used to represent a function.

We must identify each value of the independent variable (often represented by x) for which the function is specified in order to establish the domain of the function.

A function's domain may be constrained by certain guidelines or limitations, such as:

From the graph, the domain of the given function is f(x) = 1/2(x + 1) + 3 is [-6, -3].

From the graph, the domain of the given function is f(x) = 2 is (-3, 2].

From the graph, the domain of the given function is f(x) = -2(x - 2) + 1 is (2, 6].

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Answer:

\( t - 9 \)

Step-by-step explanation:

Given that t represents a number which is unknown to us, the difference of the number and 9 can be expressed algebraically as:

\( t - 9 \).

The difference of t and 9 = \( t - 9 \).

The minimized Sum of Products (SOP) expression for the given logic function F(A, B, C, D, E) with the specified minterms is obtained as f(A, B, C, D, E) = A'BCD'E' + A'B'C'D'E + A'BC'D'E + ABCD'E.

To find the minimized SOP expression using a five-variable Karnaugh map, we first plot the minterms on the map. The minterms are given as m(4,5,6,7,9,11,13,15,16,18,27,28,31). Next, we group adjacent 1s on the Karnaugh map to form groups of 2, 4, 8, or 16 cells. Each group represents a term in the minimized SOP expression.

After grouping the 1s on the Karnaugh map, we can identify the essential prime implicants, which are the groups that cover a single minterm. In this case, the group covering m(31) is an essential prime implicant.

Next, we fill in the remaining cells that are not covered by the essential prime implicant with 1s and group them to form additional terms. We can choose the groups that cover the remaining minterms while minimizing the number of terms in the expression.

Using these groups, we can generate the minimized SOP expression, which is f(A, B, C, D, E) = A'BCD'E' + A'B'C'D'E + A'BC'D'E + ABCD'E. This expression represents the logic function F(A, B, C, D, E) with the given minterms in a minimized form using the Sum of Products (SOP) representation.

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Answer:

1. r = -4

3. n=6

5. m = -5

7. x=0.66= \(\frac{2}{3}\)

Step-by-step explanation:

1.

-52=4(7+5r)

-52=28+20r

Subtract 20r from both sides

-20r-52=28

Add 52 to both sides

-20r=80

Divide both sides by -20

r = -4

3.

8(n-5)=-5n+38

8n-40=-5n+38

Add 5n to both sides

13n-40=38

Add 40 to both sides

13n=78

Divide both sides by 13

n=6

5.

-33+5m=2(1+6m)

-33+5m=2+12m

Subtract 12m from both sides

-33-7m=2

Add 33 to both sides

-7m=35

Divide both sides by -7

m=-5

7.

2(7x-2)=2(x+4)

14x-4=2x+4

Subtract 2x from both sides

12x-4=4

Add 4 to both sides

12x=8

Divide both sides by 12

x=0.66...

9514 1404 393

Answer:

  ∠C = 48°

Step-by-step explanation:

The two triangles are congruent by ASA. (The common side BD is between the angles marked congruent.) This means angles A and C have the same measure.

Angle A plus the two given angles will total 180°.

  ∠A = 180° -70° -62° = 48°

  ∠A = ∠C = 48°

Answer:

c=48°

Step-by-step explanation:

...............

Answer:

$115

Step-by-step explanation:

12 + 11 = 23

There are 23 students in the class.

Cost of supplies: $5 per student.

total cost = 23 × $5 = $115

The total cost to purchase the supplies is,

⇒ $115

The process of combining two or more numbers is called the Addition. The 4 main properties of addition are commutative, associative, distributive, and additive identity.

Given that;

There are 12 girls and 11 boys registered for the class.

And, You need to purchase supplies that will cost $5 per student.

Here, Total students = 12 + 11 = 23

Hence, The total cost to purchase the supplies is,

⇒ 23 x $5

⇒ $115

Thus, The total cost to purchase the supplies is,

⇒ $115

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Answer:

2x+y=-8

Step-by-step explanation:

hope that helps!

Answer:

An equation in the form y = mx + b is in the 'slope y-intercept' form where m is the slope and b is the y-intercept. We can rewrite our equation, y = 4, in slope y-intercept form as follows: y = 0x + 4. Here, it is clear that the slope, or m, is zero. Therefore, the slope of the horizontal line y = 4 is zero

Answer:

A(35)

B(35_20=15

Step-by-step explanation:

same as all above

Answer:

a. The cost of one cake is $4.

b. The cost of one pie is $2.

Step-by-step explanation:

C = 2P  .....equation 1

4C + 2P = 20  .....equation 2

Substituting eqn 1 into eqn 2, we have;

4(2P) + 2P = 20

8P + 2P = 20

10P = 20

P = 20/10

Pie, P = $2

Next, we would determine the cost of a cake;

From equation 1;

C = 2P

Substituting the value of "P" we have;

C = 2 * 2

Cake, C = $4

Therefore, we would have the following answers;

a. The cost of one cake is $4.

b. The cost of one pie is $2.

Check:

From equation 2;

4C + 2P = 20

4(4) + 2(2) = 20

16 + 4 = 20

20 = 20

The zeroes of the factored polynomial as required to be determined in the task content are: x = -6 and x = 8.

It follows from the task content that the zeroes of the completely factorised polynomial are to be determined.

Since the given polynomial is; x² - 2x - 48 which has been factorised completely to; (x + 6) (x - 8).

Ultimately, the zeroes of the Polynomial are as follows;

x + 6 = 0; x = -6.

and

x - 8 = 0; x = 8.

Conclusively, the zeroes of the polynomial are; x = -6 and x = 8.

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Answer:

6

Step-by-step explanation:

7x + 10 = 9x - 2

7x - 9x = -2 - 10

-2x = -12

-2x/-2 = -12/-2

x = 6