The function f(x) = -x + 2 can be formed by
shifting the function y = -2/3x in which way?

A. vertical shift up 2
B. reflection over the x-axis
C. vertical shift down 2
D. horizontal shift to the left 2

Please Show the Work & thank u

Answer:

A

Step-by-step explanation:

the first one in the picture

The approximate height of the tree is given as follows:

45.6 ft.

The geometric mean theorem states that the length of the altitude drawn from the right angle of a triangle to its hypotenuse is equal to the geometric mean of the lengths of the segments formed on the hypotenuse.

The altitude segment for this problem is given as follows:

14.5 ft.

The bases are given as follows:

5.2 ft and x ft.

Hence the value of x is given as follows:

5.2x = 14.5²

x = 14.5²/5.2

x = 40.4 ft.

Hence the height of the three is given as follows:

5.2 + 40.4 = 45.6 ft.

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The required butter she needed is given as 1.67 cups of butter.

As given in the question, Jennie is making popcorn. The recipe calls for 1/2 cup of butter, 3 tablespoons of kernels, and 1 teaspoon of salt. If she uses 10 tablespoons of kernels,

The ratio can be defined as the proportion of the fraction of one quantity towards others. e.g.- water in milk.

here,
Let the nutter need be x cups,
now,
Taking the ratio o butter to kernels
[1 / 2] / 3 = x / 10
x = 10 / 6
x = 1.67

Thus, As of the given proportion, she requires 1.67 cups of butter.

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The volume of the two prisms compares that the volume of prism B will double.

We are given that side length of the cube measured 18 inches in length. She built another prism (Prism B) with the same dimensions as the cube, except she doubled its height.

When the prism is such that if we slice it horizontally at any height smaller or equal to its original height, the cross-section is same as its base, then its volume is:

V = B x h

So, the volume of the two prism A= V = B x h

V = 18 x h = 18h

the volume of the two prism B= V = B x h

V = 18 x 2h = 36h

So, the volume of prism B will double thus the correct option is B.

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The complete question is;

Anna built a prism (Prism A) out of a cube of wood. The side length of the cube measured 18 inches in length. Anna built another prism (Prism B) with the same dimensions as the cube, except she doubled its height.

How does the volume of the two prisms compare?

The volume of prism B will triple.

The volume of prism B will double.

The volume of prism B will decrease.

The volume of prism B will be cut in half.

Answer:

(-5, 8)

General Formulas and Concepts:

Pre-Algebra

Algebra I

Step-by-step explanation:

Step 1: Define systems

-x + 2y = 21

5x + 6y = 23

Step 2: Rewrite systems

-x + 2y = 21

Step 3: Redefine systems

x = 2y - 21

5x + 6y = 23

Step 4: Solve for y

Substitution

Step 5: Solve for x

Step 6: Graph systems

Check the solution set.

The graph of a proportional relationship.

Whose slope

is the unit rate of change

Answer:

Option 3

(3xy³ + 5x²y⁴)  (3xy³ - 5x²y⁴)

Step-by-step explanation:

Factorize polynomials:

Use exponent law:

                   \(\boxed{\bf a^{m*n}=(a^m)^n} \ & \\\\\boxed{\bf a^m * b^m = (a*b)^m}\)

9x²y⁶ = 3²* x² * y³*² = 3² * x² * (y³)² = (3xy³)²

25x⁴y⁸ = 5² * x²*² * y⁴*² = 5² * (x²)² * (y⁴)² = (5x²y⁴)²

Now use the identity:  a² - b² = (a +b) (a -b)

Here, a = 3xy³ & b = 5x²y⁴

9x²y⁶ - 25x⁴y⁸ = 3²x²(y³)² - 5²(x²)² (y⁴)²

                       = (3xy³)² - (5x²y⁴)²

                      = (3xy³ + 5x²y⁴)  (3xy³ - 5x²y⁴)

Answer:

\(y=-4x+5\)

Step-by-step explanation:

The equation of a line with slope \(m\) and \(y\)-intercept \((0,b)\) is \(y=mx+b\).

Astronomers can use geometry to measure the distance of objects in space and describe ttheir relationship.

It should be noted that astronomers study stars, planets, and other celestial bodies. It should be noted that they use ground-based equipment, like optical telescopes, and space-based equipment. Some astronomers study distant galaxies and phenomena such as black holes and neutron stars.

In this case, astronomers can use geometry to measure the distance of objects in space and describe ttheir relationship.

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Answer:

distance between, motion

Step-by-step explanation:

plato, I got it right

Answer:

Step-by-step explanation:

45

Answer:

A square pyramid has 5 faces: 1 square base and 4 triangular faces.

The area of the base is:

A = s^2

where s is the length of the base edge.

In this case, s = 1 m, so:

A = 1^2 = 1 m^2

The area of each triangular face is:

A = 1/2 * b * h

where b is the base of the triangle (which is equal to the length of one side of the square base) and h is the height of the triangle (which is given as 1 m).

In this case, b = 1 m and h = 1 m, so:

A = 1/2 * 1 * 1 = 0.5 m^2

The total surface area of the pyramid is the sum of the area of the base and the area of the four triangular faces:

SA = A_base + 4 * A_triangles

SA = 1 + 4(0.5)

SA = 1 + 2

SA = 3 m^2

Therefore, the surface area of the pyramid is 3 square meters.

Answer: 3/4 is greater than 1/2  

                                   >

Step-by-step explanation:

EXPLANATION

Given the function:

We can see that it has an Absolute minimum in (3,-3) and No absolute maximum.

Answer:

A. 108

Step-by-step explanation:

the total for y and the angle above need to equal 180 so using what we have 72+?=180. we can use the 72 because it will be on the parallel line AB in the same place as it is on line CD.

108+72= 180

Answer:

1m 10cm

Step-by-step explanation:

1. Find the Greatest Common Factor of 4m, 9m, and 16m

  factors of 4m: 1, 2, 4, m

  factors of 9m: 1, 3, 9, m

  factors of 16m: 1, 2, 4, 8, 16, m

  GCF = 1m

2. Find the GCF of 50cm, 90cm, and 20cm

   factors of 50cm: 1, 2, 5, 10, 25, 50, cm

   ... 90cm: 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90, cm

   ... 20cm: 1, 2, 4, 5, 10, 20, cm

   GCF: 10cm

The required measure of the length of the plank that can measure all the given length is 1 m 10 cm.

Unit of measurement is defined as every entity having its measures in dimensions, weight, and time. Such as for length we have a meter, for liquid we have liters, and so on.

here,
Given lengths,
= 4 m  50 cm
= 9 m 90 cm
= 16m  20 cm

Taking GCF in both the segment of lengths in meters and centimeters.
For meters = [4, 9, 16]

GCF = 1 m

For centimeters = [50, 90, 20]
GCF = 10 cm

Thus, the required measure of the length of the plank that can measure all the given length is 1 m 10 cm.

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The equation of line in point slope form will be -

y - 5 = - 3(x + 4).

Geometry is a branch of mathematics that deals with shapes, sizes, angles, and dimensions of objects.

Given is a equation of a line → y = -3x + 5 passing through point (-4, 5).

The given equation is -

y = -3x + 5

Slope of the line parallel to this line -

m{p} = - 3

We can write the equation of line in point slope form as -

y - 5 = -3(x + 4)

Therefore, the equation of line in point slope form will be -

y - 5 = - 3(x + 4).

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Answer: 17.0

Step-by-step explanation:

According to the question the height is 18. sin 71 = 18x9455 = 17.019 = 17.0

Answer:

c. The period is 2π

Step-by-step explanation:

The period of a function is the smallest value of $p$ for which\( f(x+p) = f(x)\) for all x.

For the function f(x) = 2cos(x^2), we can see that f(x+2π) = f(x) for all x.

This is because the cosine function has a period of 2π. Therefore, the period of f(x) = 2cos(x^2) is \(\boxed{2\pi}\)

Answer:

Compound interest formula

\(\sf A=P(1+\frac{r}{n})^{nt}\)

where:

Given:

Substitute given values into the equation:

\(\implies y=8000(1+\frac{0.045}{1})^x\)

\(\implies y=8000(1.045)^x\)

So the graph will have a y-intercept of (0, 8000)

The form that most quickly reveals the y intercept is

The y intercept is (0, 21/2)

The y-intercept is the point where a function or a curve intersects the y-axis. In other words, it is the value of the dependent variable (y) when the independent variable (x) is equal to zero.

In the form,  f(x) = 1/2 x² - 5x + 21/2 it is easier to see that eliminating x by plugging in 0 leaves 21/2 which is the y intercept

hence we can easily say that the y intercept is (0, 21/2)

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If order matters then that's permutation else that's combination

So

Here the answers are

#1

Teams cannot be repeated

#2

Teachers also can't be repeated

#3

Can't repeat

#4

Already mentioned

#5

Repeating allowed

#6

Can be repeated

#7

Can't be repeated

#8

Can be repeated

#9

Answer:

subtracting 14 from sides of the number sentence

Step-by-step explanation:

14 + n = 84

Since 14 is being added to n, you need to subtract 14 from both sides to solve for n.

Answer: subtracting 14 from sides of the number sentence

Answer:

6/4. Simplified, is 1 2/4

Step-by-step explanation:

Answer:

f(1) = -7

Step-by-step explanation:

Step 1: Define

f(x) = -x² + x - 7

f(1) = x = 1

Step 2: Substitute and Evaluate

f(1) = -(1)² + 1 - 7

f(1) = -1 + 1 - 7

f(1) = -7

Answer: 647,418

Given:

Initial population = 290,000

Growth rate = 5.5% = 0.055

Time = 15 years

The formula that we'll be needing is the exponential growth formula which is noted as:

Where:

a = initial population

r - rate

x = time

From the given, we know that:

a = 290 000

r = 0.055

x = 15

Substitute these to the formula and we will get:

Therefore, in 15 years, the population will be around 647,418.

A. Model is fitted using training dataset and E. Validation dataset is used to minimize model overfitting are true about machine learning algorithms

The process by which an AI system completes its task—generally, forecasting output values from provided input data—is known as a machine learning algorithm. Classification and regression are the two key operations of machine learning algorithms.

Simple linear regression, decision trees, logistic regression, the KNN algorithm, and other well-known supervised learning techniques are some examples.

Machine learning is crucial because it helps businesses identify trends in customer behaviour and operational patterns and facilitates the creation of new goods.

According to the question,

Option A and option E are correct about the machine learning algorithms

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Mean of the given data is 9.1, median is 9, Standard deviation is 3.50 and the range is 14. We have to arrange the data in ascending order and do the calculations.

First we can arrange the given data in ascending order

4    4    5    5    5    5    6    6     6     6  7     8    8     9    9    9   10   10    10    10   11    11    12   12    12   13   13   14    15   18

Sum of all values = 273

Number of values = 30

        So standard deviation =∑ √(xi-mean)² / n = √(368.7)/30 = √12.29

         = 3.50

    4.  Range = Highest value - lowest value = 18-4 = 14

So,

Mean = 9.1

Median = 9

S.D = 3.50

Range = 14

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The complete question is as below

The manager of the local Wal-Mart Super Store is studying the number of items purchased by customers in the evening hours. Listed below is the number of items for a sample of 30 customers.

15 8 6 9 9 4 18 10 10 12

12 4 7 8 12 10 10 11 9 13

5 6 11 14 5 6 6 5 13 5

a. Find the mean and the median of the number of items,

b. Find the range and the standard deviation of the number of items,

Answer: 1287

Step-by-step explanation:

The situation involves combinations.

Combinations are used when we want to count the number of ways to choose a subset of objects from a larger set, without regard to the order in which the objects are chosen. In this case, we want to count the number of ways to choose a five-member committee from a group of 13 people.

We don't care about the order in which the committee members are chosen, as long as we end up with a committee of five people. That is, the committee of Alice, Bob, Charlie, Dave, and Eve is considered the same as the committee of Eve, Charlie, Bob, Dave, and Alice.

Therefore, we can use the combination formula:

nCk = n! / (k! * (n-k)!)

where n is the number of objects to choose from, k is the number of objects to choose, and "!" represents the factorial function.

In this case, we want to choose 5 people from a group of 13:

13C5 = 13! / (5! * (13-5)!) = 13! / (5! * 8!) = (13 * 12 * 11 * 10 * 9) / (5 * 4 * 3 * 2 * 1) = 1,287

Therefore, there are 1,287 ways to choose a five-member committee from a group of 13 people, and we can use the combination formula to calculate this count.

Answer:

\(55 degree= \frac{\pi }{180}\times55=\frac{11\pi }{36} =0.9599 radians\)

Step-by-step explanation:

\(180 degree= \pi radian\\1 degree= \frac{\pi }{180}\\55 degree= \frac{\pi }{180}\times55=\frac{11\pi }{36} =0.9599 radians\)