Please help!

Select the only equation type that can be modeled as a continuous linear function

Question 1 options:

f(x)=12x

f(x)=5x−3

f(x)=x2−7

f(x)=f(x−1)×2, f(1)=4

John will need 1728 4x4-inch shingles to cover the rectangular roof.

To calculate the number of 4x4-inch shingles needed to cover a roof measuring 12x16 feet, we need to convert the measurements to the same units.

Given that 1 foot is equal to 12 inches, we can convert the roof measurements as follows:

Length of the roof in inches: 12 feet × 12 inches/foot = 144 inches

Width of the roof in inches: 16 feet  12 inches/foot = 192 inches

Now, we can calculate the number of 4x4-inch shingles needed to cover the roof.

The area of one 4x4-inch shingle is 4 inches × 4 inches = 16 square inches.

To find the total number of shingles needed, we divide the total area of the roof by the area of one shingle:

Total number of shingles = (Length of the roof × Width of the roof) / Area of one shingle

Total number of shingles = (144 inches × 192 inches) / 16 square inches

Total number of shingles = 1728 shingles

Therefore, John will need 1728 4x4-inch shingles to cover the roof.

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Answer:

is a lot of them

Step-by-step explanation:

94+1, 95+0, 79+16

Answer: 5(3+16)

Step-by-step explanation:

5x(3+16) = (3+16= 19) = 5 x 19 = 95 which is equivalent to 15 + 80 = 95

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Given the surface area of the sphere, its radius rounded to two decimal places is 5.05 centimeters.

The surface area of a sphere is simply the total area that covers its outer surface.

The surface area of a sphere is expressed as;

A = 4πr²

Where r is radius and π is pi. ( π = 3.14 )

Given the data in the question;

We substitutes the given values into the equation above.

A = 4πr²

320cm² = 4 × 3.14 × r²

320cm² = 12.56 × r²

r² = 320cm² / 12.56

r² = 25.477707cm²

r = √25.477707cm²

r = 5.05cm

Given the surface area of the sphere, its radius rounded to two decimal places is 5.05 centimeters.

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Answer:

The radius is 5.05 centimeters.

Hope this helps!

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

the angle is defined by equation ((n-2)*180)/n,where n is number of sides of a regular polygon

so here 180n-360=150n

30n=360

n=12

hope it will helpful to you please reply me it is correct or not

Answer:  ∠B = 50°

               ∠BCD = 40°

Step-by-step explanation:

ACB is a right triangle where ∠A = 40° and ∠C = 90°.

Use the Triangle Sum Theorem for ΔABC to find ∠B:

∠A + ∠B + ∠C = 180°

40° + ∠B + 90° = 180°

         ∠B + 130° = 180°

                  ∠B = 50°

BCD is a right triangle where ∠B = 50° and ∠D = 90°.

Use the Triangle Sum Theorem for ΔBCD to find ∠C:

∠B + ∠C + ∠D = 180°

50° + ∠C + 90° = 180°

         ∠C + 140° = 180°

                  ∠C = 40°

The conclusion about the congruent triangles is explained below.

What is congruent triangles?

Two triangles are stated to be congruent if the 3 facets and the 3 angles of each the angles are same in any orientation.

Two pairs of corresponding side lengths are proportional by the same ratio. Also the angles are congruent.

So, the triangles are congruent.

This standards of congruency is is aware of as ASA criterion as a facet blanketed among angles are all identical.

Two triangles are congruent, if angles and the facet blanketed among them in a single triangle is same to the 2 angles and the facet blanketed among them of the alternative triangle.

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Answer:

Their stomach is upset. they eat the grass to calm their stomach. Don't worry it is good if your dog eats grass because that helps the dog's health out. Grass gives them vitamins and nutrients that helps their bowel system. seriously let you dog eat the grass, they will be okay. my four dogs do it as well and they feel better after. hope this helps

Answer:

53 1/3 yards

Step-by-step explanation:

When you solve for area you multiply width times length so here we would divide.

6400 ÷ 120 = 53 1/3 yards

Hope that helps and have a great day!

Answer:

1) bottom row, next to the last (4th square going across)

2) second row, first square (1st column, next to the bottom)

Step-by-step explanation:

1) bottom row, next to the last (4th square going across)

2) second row, first square (1st column, next to the bottom)

Answer:

x = 1.5

Step-by-step explanation:

17 + 4x = 23

-17           -17

4x = 6

/4    /4

x = 1.5

Answer:

B. is exactly 1 triangle

Step-by-step explanation:

For any given triangle, the sum of the internal angles is \(180^{o}\). Thus from the given question, adding the given angles;

30° + 70° + 80° = \(180^{o}\)

Therefore, only one triangle can be produced with the given measure of angles. This implies that there is exactly one triangle. So that the correct option is B.

The relation accepts reflexive, symmetry, and transitive.

Recall that a relation R is reflexive if the element (x, x) belongs to R for all elements X in the domain of R.

If (x, y) belongs to R, then follows that (y, x) must likewise belong to R, making the situation symmetric.

And it is transitive if (x, y) and (y, z) belongs to R necessarily implies that (x, z) belongs to R.

Given r is a relation on the set of all nonnegative integers R(a,b)

Reflexive - YES. A given number a will always have the same remainder when divided by 5.

Symmetric - YES. If a and b have the same remainder when divided by 5, then b and a are the same pair, so again they will have the same remainder.

Transitive - YES. If a and b as well as b and c have the same remainder when divided by 5, this is possible if both a and c also have the same remainder when divided by 5.

Therefore the relation accepts reflexive, symmetry, and transitive.

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Answer:

Hi

Please mark brainliest

Step-by-step explanation:

1.46 × 10^-2 = 0.0146

There have been numerous cases of athletes being accused of using performance-enhancing drugs, and the numbers may vary depending on the sport, country, and time period in question.

Additionally, determining how many athletes were using or not using performance-enhancing drugs would require specific information on individual cases.

Regarding the percentage of athletes falsely accused of using performance-enhancing drugs, it is difficult to determine an accurate figure without examining each case in detail. False accusations may occur due to various reasons, such as flawed testing procedures or contaminated supplements, and the percentage of false accusations may vary depending on the situation.

If you have a specific case or sport in mind, I can try to provide you with more information on that topic.

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The domain of f is X and the co-domain of f is Y And f(1) = s, f(3) = t, f(5) = u. The range of f is {s, t, u}.

a. The domain of function f is X, which consists of the elements {1, 3, 5}. The co-domain of f is Y, which consists of the elements {s, t, u, v}.

b. Evaluating f(x) for each element in the domain, we have:

f(1) = s

f(3) = t

f(5) = u

c. The range of f represents the set of all possible output values. From the given information, we can see that f(1) = s, f(3) = t, and f(5) = u. Therefore, the range of f is the set {s, t, u}.

In graph theory, a graph consists of a vertex set V and an edge set E. The order of a graph is the number of vertices in the vertex set V. The size of a graph is the number of edges in the edge set E. The degree sequence of a graph represents the degrees of its vertices listed in non-increasing order.

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The given equation is: 1 × 3 + 3 × 5 + ... + (2n - 1)(2n + 1) = 2n + 1 / n

To prove that the given equation is correct, we need to verify if it satisfies the Basis Step, Induction Hypothesis and Induction

Step.1. Basis Step:

When n = 1, the left-hand side of the equation is 1 × 3 = 3. Putting n = 1 in the right-hand side of the equation we get:(2 x 1) + 1 / 1 = 3

Hence the Basis Step is verified.

2. Induction Hypothesis:

We assume that the equation holds true for some n = k. That is,1 × 3 + 3 × 5 + ... + (2k - 1)(2k + 1) = 2k + 1 / k3.

Induction Step: We need to prove that the equation holds true for n = k + 1. That is,1 × 3 + 3 × 5 + ... + (2k + 1)(2k + 3) = 2k + 3 / (k + 1)

Now adding (2k + 1)(2k + 3) on both sides of the equation in the Induction Hypothesis, we get:1 × 3 + 3 × 5 + ... + (2k - 1)(2k + 1) + (2k + 1)(2k + 3) = 2k + 1 / k + (2k + 1)(2k + 3) = 2k + 1 + (2k + 1)(2k + 3) / (k + 1)

Factorizing, we get:2k + 1 + (2k + 1)(2k + 3) / (k + 1) = (2k + 3)(k + 1) / (k + 1) = 2k + 3

Thus the Induction Step is verified. Hence proved that the equation1 × 3 + 3 × 5 + ... + (2n - 1)(2n + 1) = 2n + 1 / n is true. Therefore, this is a valid formula for the given equation.

The given formula satisfies the Basis Step, Induction Hypothesis, and Induction Step.

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The height of the flagpole is 57 feet. Shadow of a flagpole is 19 feet long. At same time, shadow is a 12 foot high wall is 4 feet long.

To find the height of the flagpole, we can use the concept of similar triangles.

Let's denote the height of the flagpole as 'h' and the length of its shadow as 'x'.

According to the given information, the shadow of the flagpole is 19 feet long, and the shadow of a 12-foot high wall is 4 feet long. We can set up a proportion using the similar triangles formed by the flagpole, its shadow, the wall, and its shadow:

(height of flagpole) / (length of flagpole's shadow) = (height of wall) / (length of wall's shadow)

Using the given information, we have:

h / x = 12 / 4

Cross-multiplying the proportion, we get:

4h = 12x

Simplifying the equation, we have:

h = 3x

Now, we know that at noon, the length of the flagpole's shadow is 19 feet. Substituting this value into the equation, we can solve for the height of the flagpole:

h = 3 * 19

h = 57 feet

Therefore, the height of the flagpole is 57 feet.

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Answer:

Sin ? = 4/7

? = arcSin (4/7)

? = 35° (rounded to the nearest degree)

So the answer is 35°

Answered by GAUTHMATH

Step-by-step explanation:

i don't know if this will help but, here

Answer:

\(2(x+2)/x+1\)

Step-by-step explanation:

Answer:

2( x +2 )

x+1

Step-by-step explanation:

to add or subtract expressions expand them to make their denominators the same, multiply 1 time \(\frac{x-2}{x-2}\)

since \(\frac{x}{x-2}\) and \(\frac{x-2}{x-2}\) have the same denominators add them by adding their numerators

combine x + x -2

factor \(x^{2}\) - 4

to add or subtract expressions expand them and multiply by 1

have same denominator add them by adding their numerators

do the multiplications in 3 + ( x-2 )(x+2)

combine like terms in 3 + \(x^{2}\) + 2x - 2x -4

divide \(\frac{2x-2}{x-2}\) by \(\frac{-1 + x^{2} }{(x-2)(x+2) }\) multiplying \(\frac{2x-2}{x-2}\)

cancel out x-2 in both numerator and denominator

factor the expression that are not already factored

cancel out x-1  in both numerator and denominator

expand the expression

Answer:

28

Step-by-step explanation:

71.12 divided by 2.54 = 28

Answer:

Using dimensional analysis:

71.12 cm / 2.54 cm/inch = 28 inches

Therefore, 71.12 centimeters is equal to 28 inches.

Answer:

<EGF = 54

Step-by-step explanation:

Inscribed Angle = 1/2 Intercepted Arc

<EGF = 1/2  arc EF

<EGF = 1/2  (108)

<EGF = 54

Answer:

The given three sides can not form a triangle.

Step-by-step explanation:

Given three sides:

Length of first side = 7.7 cm

Length of second side = 4.0 cm

Length of third side = 1.7 cm

To find:

Whether these three sides can possibly be the three sides of a triangle ?

Solution:

Here, we can use the property of sides of a triangle:

The sum of the lengths of any two sides must be greater than the length of third side.

Now, let us try to verify this property.

Length of first side + Length of second side = 7.7 + 4.0 = 11.7 cm which is greater than the length of third side i.e. 1.7 cm

Length of first side + Length of third side = 7.7 + 1.7 = 9.4 cm which is greater than the length of second side i.e. 4.0 cm

Length of second side + Length of third side = 4.0 + 1.7 = 5.7 cm which is not greater than the length of first side i.e. 7.7 cm

Therefore, the property does not hold true.

It can be concluded that, the given three sides can not form a triangle.

Answer:

isyllus is correct

they can not from a triangle

Step-by-step explanation:

Given that the number of angry people=12 and the number of chill peoples=8.

The total number of peoples=The number of angry people + the number of chill people.

The total number of people in juries=12+8=20

Let A be an event that made 12 members of juries consists of 7 chill and 5 angry people.

The probability of A =P(A)

Hence only one 12 member jury pool can be made that consist of 7 chill and 5 angry people.

Hence the answer is 1.

Answer:

Yes

Step-by-step explanation:

x = 0 is a vertical line. It's the y-axis.

y = 3 is a horizontal line.

x = 0 and y = 3 are perpendicular lines because they intersect

Answer:

Step-by-step explanation:

Yes, you can figure it out by drawing it out. Unfortunately, you can't compare slopes in this case as vertical lines are undefined.

Therefore, the simplified sum of the expression 7 1/4 and 4 5/12 is 35/3 that is option D, 11 2/3.

In mathematics, an expression is a combination of symbols and/or numbers that represents a quantity or a mathematical relationship between quantities. Expressions can be simple or complex, and can involve arithmetic operations, algebraic operations, functions, and variables.

Here,

To add these mixed numbers, we need to first convert them to improper fractions with the same denominator:

7 1/4 = 28/4 + 1/4

= 29/4

4 5/12 = 48/12 + 5/12

= 53/12

Now, we can add the fractions:

=29/4 + 53/12

To find a common denominator, we can multiply the denominator of the first fraction by 3 and the denominator of the second fraction by 1:

29/4 × 3/3 = 87/12

53/12 × 1/1 = 53/12

Now we have the same denominator, so we can add the numerators:

87/12 + 53/12 = 140/12

We can simplify by dividing the numerator and denominator by their greatest common factor, which is 4:

140/12 ÷ 4/4 = 35/3

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