The function f(x) = 3(1.7)x gives the length (in inches) of an image after being enlarged by 10% x times. What is the length of the image after it has been enlarged 4 times? Round your answer to the nearest hundredth.

Answer:

I/rt = P

Step-by-step explanation:

I = Prt

Divide both sides by rt to isolate P

I/rt = P

Answer:

=6.5

Step-by-step explanation:

2−4+7=54.5

9−4=54.5

9−4+4=54.5+4

9=58.5

99=58.59

=6.5

hope i helped plz mark me brainlest

The name of the polygon with the vertices at (0,0), (4,8), (12,8) and (16,0) is a Trapezoid. Option A

A trapezoid is a four-sided flat polygon.

It has two parallel sides that has different lengths. The other two sides are non-parallel and  also does have lengths.

A trapezoid has four angles, two of which are acute and two of which are obtuse.

A trapezoid's parallel sides are calld bases, while its non-parallel sides are called legs.

The height of a trapezoid is the perpendicular distance between its two bases. Trapezoids appear in a variety of sizes and forms, but its distinguishing feature is the presence of two parallel sides.

|             o                          o

|
|
|
|
|
|

|o___________________________o_

If you connect the "o" which represents the coordinates, you will draw a Trapezod.

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Answer:

Step-by-step explanation:

Answer:4/3

Answer:

The tangent of the larger acute angle in a right triangle with side lengths 10, 24, and 26 is 12/5.

Step-by-step explanation:

In a right triangle, the hypotenuse (the side opposite the right angle) is the longest side.

Therefore, in a right triangle with side lengths 10, 24, and 26, the hypotenuse measures 26 units and the legs measure 10 and 24 units.

In a right triangle:

Therefore, the largest acute angle is between the hypotenuse and the shortest leg, which means the side opposite the angle is the longest leg.

The tangent ratio is the ratio of the side opposite the angle to the side adjacent the angle.

Therefore the tangent of the largest acute angle is:

\(\implies \sf \dfrac{O}{A}=\dfrac{24}{10}=\dfrac{12}{5}\)

Answer:

Step-by-step explanation:

The meaning of the translation (x + 6, y + 10) is that all points in a coordinate plane are moved 6 units to the right and 10 units up.

In other words, for any point (x, y) in the original position, after the translation, the new coordinates would be (x + 6, y + 10). This means that the x-coordinate of each point is increased by 6 units, resulting in a shift to the right, and the y-coordinate is increased by 10 units, resulting in a shift upwards.

Answer:

There are $\boxed{3}$ paths from $A$ to $B.$

Answer:

36x+4

hopes this helps

Answer:

Explanation:

4 ( 1 + 9x)

4 + 36x

This riddle does not have any mathematical formula or calculation associated with it.

This is an impossible situation, as it is not possible for a doctor to be the patient's parent. It is also not possible for a person to be taller than a building that is 43 stories tall.

The phrase "How is a raven like a writing desk?" is a riddle posed by Lewis Carroll in his novel Alice's Adventures in Wonderland. The answer to the riddle is "they both have the potential to produce a few notes, though they are very different". This phrase does not have any mathematical formula or calculation associated with it.

This riddle does not have any mathematical formula or calculation associated with it.

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The number of bags of fiber stuffing needed to fill the cones is 52 bags.

Given:

Height (h) = 10 inches

Radius (r) = 4 inches

To calculate the number of bags of fiber stuffing needed to fill the ice cream cones, we first need to calculate the volume of a single cone ( cone + hemisphere) using its height and radius.

The volume of a cone can be calculated using the formula:

= (1/3) πr²h

The volume of a hemisphere can be calculated using the formula:

= (2/3) πr³

Substituting these values into the formula, we can find the volume of a single cone:

V = (1/3) π × 4² × 10 + (2/3)π × 4³

V = 167.5 + 134.04

V = 301.54

V ≈ 167.5516 cubic inches (rounded to 4 decimal places)

Now, to determine the number of bags of fiber stuffing needed, we divide the total volume of the cones by the volume that can be filled by a single bag of fiber stuffing:

Number of bags = Total volume of cones / Volume filled by a single bag

Total volume of cones = Volume of a single cone x Number of cones

Total volume of cones = 167.5516 cubic inches x 125 cones

Total volume of cones ≈ 37692.66 cubic inches (rounded to 2 decimal places)

Number of bags = 37692.66 cubic inches / 720 cubic inches (per bag)

Number of bags ≈ 52 (rounded to nearest whole number)

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Answer:

y=-2.5-5/4x and no it doesn't pass through (4,12)

Step-by-step explanation:

5x-4y=10

-5x     +5x

-4y=10+5x

/-4     /-4

y=-2.5-5/4x

Answer:

LMJ and KJM

Step-by-step explanation:

alternative interior

this means, they're on opposite sides of the line-break, and are inside the parallel lines.

hope this helps.

Answer:

Outliers are often extreme values that are not as representative of the data set as the other points in the cluster. If the outliers are included, a description of the data set might be misrepresented.

Step-by-step explanation:

Answer:

Sample Answer: Outliers are often extreme values that are not as representative of the data set as the other points in the cluster. If the outliers are included, a description of the data set might be misrepresented.

Step-by-step explanation:

The instructional designer should use the procedure of "Confidence interval for a single proportion" to make the estimate of the proportion of learners who use Firefox as their primary browser.  (option 3)

This procedure allows for the estimation of the true proportion of the population within a certain level of confidence based on a sample proportion. It involves calculating a range of values within which the true proportion is expected to fall with a specified level of confidence. The procedure is appropriate when the variable of interest is categorical, and the goal is to estimate the proportion of individuals in a population who have a certain characteristic, in this case, using Firefox as their primary browser.

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1. P-adic Numbers:

P-adic numbers are a specialized alternative not commonly used as a continuity strategy in mathematics. They are an extension of the real numbers that provide a different way of measuring and analyzing numbers. P-adic numbers are based on a different concept of distance, known as the p-adic metric. This metric assigns a measure of closeness or distance between numbers based on their divisibility by a prime number, p. P-adic numbers have unique properties and can be useful in number theory, algebraic geometry, and other branches of mathematics. However, they are not typically employed as a continuity strategy in practical applications.

2. Nonstandard Analysis:

Nonstandard analysis is a mathematical framework that provides an alternative approach to calculus and analysis. It introduces new types of numbers called "infinitesimals" and "infinite numbers" that lie between the standard real numbers but are infinitely smaller or larger than any real number. Nonstandard analysis allows for more rigorous treatment of infinitesimal quantities and provides a different perspective on limits, continuity, and differentiation. While nonstandard analysis has theoretical implications and can provide valuable insights in mathematical research, it is not commonly used as a continuity strategy in practical applications where standard analysis and calculus are more prevalent.

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Answer:

-25 and -4

Step-by-step explanation:

to solve this, you need to use the sum product pattern. this means you're going to take the x factor, 29x and separate it into it's squares.

(x^2+25x)+(4x+100)

then you take out the common factor in each separated equation

x(x+25)+4(x+25)

you see that the items in the parentheses are the same, this means that this is one of the equations you will use when factoring. the rest of the equation that is left out (the common factors) is the other equation

(x+25)(x+4)

to get the zeroes, you set each equation equal to zero and solve

x+25=0           x+4=0

x= -25             x= -4

Answer:

1

Step-by-step explanation:

Answer:

3+10=13+17=30+24=54+0=54

The acceleration of the bicyclist is 6.83 m/s².

The given parameters;

Initial velocity of the bicycle (u) = 21 m/s

Distance travel by the bicycle (s) = 32.3 m

We have to find the acceleration of the bicyclist.

How to calculate the acceleration?

If the initial velocity is u, final velocity is v and distance travel by object is s then we can calculate acceleration as;

v² = u² + 2as

Initial velocity of the bicycle (u) = 21 m/s

Distance travel by the bicycle (s) = 32.3 m

Final velocity of the bicycle (v) = 0

Hence, The acceleration of the bicycle is calculated as follows;

v² = u² + 2as

Where, v is the final velocity of the bicycle.

0 = u² + 2as

2as = - u²

a =  - u²/2s

a = - (21)²/2*32.3

a = - (21)²/64.6

a = -441/64.6

a = -6.83

| a | = 6.83 m/s²

The acceleration of the bicyclist is 6.83 m/s².

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In an expression using the logical operator And Also, as soon as one of the compound conditions is found to be false, no further conditions are tested and the expression evaluates to false.

The And Also operator is a short-circuiting operator that is used to combine two or more Boolean expressions. It evaluates the left-hand expression first and then the right-hand expression only if the left-hand expression evaluates to true

. If the left-hand expression evaluates to false, then the right-hand expression is not evaluated at all. This helps to improve the performance of the code by avoiding unnecessary evaluations of expressions that would not change the outcome of the overall condition.

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In an expression using the logical operator And Also , as soon as one of the compound conditions is found to be false, no further conditions are tested and the expression evaluates to false. Therefore option c. And Also correct.

This is because the AndAlso operator employs short-circuit evaluation, meaning it stops evaluating once it encounters

the first false condition since the overall result will definitely be false.

In an expression using AndAlso, if the first condition is false, the entire expression is evaluated as false without testing

any further conditions. This is also known as short-circuit evaluation.

In contrast, the OrElse operator evaluates to true as soon as one of the compound conditions is true, without testing

any further conditions. The Nor and Xor operators are less commonly used and have different behavior.

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Answer:

Answer:

38 degree difference

Step-by-step explanation:

24 + 15 =39

But they share the 0 degree spot so minus one.

39-1=38

Volume of the hemisphere is  904.78 cubic inches.

Volume of the cone is 226.195 cubic inches.

Total Volume of Composite shape is 911.063 cubic inches.

i.To calculate the volume of a hemisphere, we can use the formula:

Volume = (2/3) * π * r^3

where π is approximately 3.14159 and r is the radius of the hemisphere.

For the first scenario where the radius is 6 inches:

Volume = (2/3) * π * (6^3)

= (2/3) * 3.14159 * (216)

≈ 904.78 cubic inches

Therefore, the volume of the hemisphere with a radius of 6 inches is approximately 904.78 cubic inches.

For the second scenario where the radius is 1 inch:

Volume = (2/3) * π * (1^3)

= (2/3) * 3.14159 * (1)

≈ 0.666 cubic inches

Therefore, the volume of the hemisphere with a radius of 1 inch is approximately 0.666 cubic inches.

ii. To calculate the volume of a cone, we can use the formula:

Volume = (1/3) * π * r^2 * h

where π is approximately 3.14159, r is the radius of the cone's base, and h is the height of the cone.

For the first scenario where the radius is 6 inches:

Let's assume the height of the cone is also 6 inches for simplicity.

Volume = (1/3) * 3.14159 * (6^2) * 6

= (1/3) * 3.14159 * 36 * 6

≈ 226.195 cubic inches

Therefore, the volume of the cone with a radius of 6 inches and height of 6 inches is approximately 226.195 cubic inches.

For the second scenario where the radius is 1 inch:

Let's assume the height of the cone is also 1 inch for simplicity.

Volume = (1/3) * 3.14159 * (1^2) * 1

= (1/3) * 3.14159 * 1 * 1

≈ 0.5236 cubic inches

Therefore, the volume of the cone with a radius of 1 inch and height of 1 inch is approximately 0.5236 cubic inches.

iii. To calculate the total volume of a composite shape consisting of a hemisphere and a cone, we need to calculate the volumes of each individual shape and add them together.

Let's start with the hemisphere:

Volume of Hemisphere = (2/3) * π * r^3

= (2/3) * 3.14159 * 6^3

≈ 904.78 cubic inches

Now, let's calculate the volume of the cone:

Volume of Cone = (1/3) * π * r^2 * h

= (1/3) * 3.14159 * 1^2 * 6

≈ 6.283 cubic inches

To find the total volume of the composite shape, we add the volumes of the hemisphere and the cone together:

Total Volume = Volume of Hemisphere + Volume of Cone

= 904.78 + 6.283

≈ 911.063 cubic inches

Therefore, the total volume of the composite shape with a hemisphere (radius = 6 inches) and a cone (radius = 1 inch) is approximately 911.063 cubic inches.

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The measure of the inscribed angle is equal to 90 degrees

The inscribed angle theorem mentions that the angle inscribed inside a circle is always half the measure of the central angle or the intercepted arc that shares the endpoints of the inscribed angle's sides. In a circle, the angle formed by two chords with the common endpoints of a circle is called an inscribed angle and the common endpoint is considered as the vertex of the angle.

In this problem, the side length of the square is 5 which forms 90 degrees to all the other sides.

The measure of the circumscribed angle is 90 degree

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Answer:

Step-by-step explanation:

x=y-3 this is your main formula to find x

first  y=4-3=1 , x=1

second y=8-3=5  , x=5

third  y=5-3=2,  x=2

Using a system of equations, it is found that the original number of students in Group B was of 120.

A system of equations is a set of equations involving multiple variables that are related, and then operations are made to solve these equations and identify the numeric value of each variable.

In the context of this problem, the variables are described as follows:

There are 270 total students, hence:

x + y = 270.

x = 270 - y. (as we want to find y).

If 30 students move to Group B from Group A, then there will be twice as many students in Group A as in Group B, hence:

x + 30 = 2(y - 30).

Replacing the relation of the first equation on the second, it is found that:

270 - y + 30 = 2y - 60

3y = 360

y = 360/3

y = 120.

The original number of students in Group B is of 120.

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First, let's list all the possible arrangements of the digits 2, 4, and 6 with a decimal point between two digits: - 2.4.6
- 2.6.4
- 4.2.6
- 4.6.2
- 6.2.4
- 6.4.2

Now, we need to find the sum of every number less than 4.4 than grogg writes. This means we need to add up all the numbers that are less than 4.4 and are also less than each of the six numbers on our list.

Let's start with the first number on our list, 2.4.6. The numbers that are less than 4.4 and less than 2.4.6 are:

- 2.4
- 2.6

So we add those two numbers together:  2.4 + 2.6 = 5, That's the sum for the first number on our list. Now we can repeat this process for each of the other five numbers on our list, and add up all the sums at the end. For 2.6.4, the numbers less than 4.4 and less than 2.6.4 are: - 2.6 .

So the sum for 2.6.4 is:  2.6, For 4.2.6, the numbers less than 4.4 and less than 4.2.6 are:
- 4.2
- 4.6, So the sum for 4.2.6 is: 4.2 + 4.6 = 8.8, For 4.6.2, the numbers less than 4.4 and less than 4.6.2 are:
- 4.2
- 4.6

So the sum for 4.6.2 is:
4.2 + 4.6 = 8.8

For 6.2.4, the numbers less than 4.4 and less than 6.2.4 are:

- None

There are no numbers less than 4.4 and less than 6.2.4, so the sum for 6.2.4 is 0.
Finally, for 6.4.2, the numbers less than 4.4 and less than 6.4.2 are:
- None

Again, there are no numbers less than 4.4 and less than 6.4.2, so the sum for 6.4.2 is 0.
Now we can add up all the sums:  5 + 2.6 + 8.8 + 8.8 + 0 + 0 = 25.2

So the sum of every number less than 4.4 than grogg writes is 25.2.

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Answer:

Step-by-step explanation: