Which of the following accurately depicts the transformation of y= x^2 to the function shown below? y=2(x-3)^2+5
A. Shift left 3 units, shrink vertically to 1/2 of the original height, then shift up 5 units.
B. Shift right 3 units, stretch vertically by a factor of 2, then shift up 5 units.
C. Shift up 3 units, stretch horizontally by a factor of 2, then shift left 5 units.
D. Shift 5 units right, stretch vertically by a factor of 3, then shift up 2 units.

Answer:

the question is confusing but the answer is 2010

Step-by-step explanation:

because in the year 2000 it was

260

then increased by

60

over 5 years making the next class

320

then in 2010 it was

400

and 320 + what is 400?

80

so the answer is:

2010

14. Constant of variation, k = 3/2

15. The graph does not represent a direct variation.

16. Constant of variation, k = 1/4

17. Constant of variation, k = 1

A direct variation is a proportional relationship where variable x varies directly with variable y. The equation of a direct variation is modelled by the equation below:

y = kx.

k is the constant of proportionality of the relationship between x and y. It is also referred as the unit rate. On a proportional or direct variation graph, it can be determined by using any point on the graph (x, y) to find k.

k = y/x.

All graphs that represent direct variations passes through the origin (0, 0). The coordinate of the constant of proportionality of a direct variation graph is (1, k), where the constant of variation = k, and x = 1.

14. The graph passes through the origin (0, 0), so it represents a direct variation.

Constant of variation, k = 3/2

15. The graph does not pass through the origin (0, 0), so it does  represent a direct variation.

16. The graph passes through the origin (0, 0), so it represents a direct variation.

Constant of variation, k = 1/4

17. The graph passes through the origin (0, 0), so it represents a direct variation.

Constant of variation, k = 1

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P(above average grades/boy) = P(above average grades). The correct option is B

The likelihood that a male will have grades above average is 23/37, or roughly 62%. 38/75, or almost 51%, of students are expected to have grades above average.

Statement A is untrue since the two probabilities do not equal one another. The probability of a guy having above-average grades is not the same as the probability of a student having above-average grades, hence Statement C is also untrue. Statement D is untrue since a boy's chance of being chosen is not the same as his chance of earning above-average grades.

Given that he was chosen, the likelihood of a boy obtaining above-average grades is the same as the likelihood that he will. This is so that the likelihood that a boy will have above-average grades is unaffected by the selecting procedure.

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Answer:

C

Step-by-step explanation:

Distance: 8.6 miles; Bearing: 44.7 degrees East of North.

The distance of the ship which leaves port on a bearing of 20.2 degrees East of North is 8.6 miles and its bearing is 44.7 degrees East of North.

When the three sides of a triangle is known, then to find any angle, the law of cosine is used.

It can be given as,

\(c^2=a^2+b^2-2ab\cos C\\a^2=c^2+b^2-2ab\cos A\\b^2=a^2+c^2-2ab\cos B\)

Here, a,b and c are the sides of the triangle and A,B and C are the angles of the triangle.

A ship leaves port on a bearing of 20.2 degrees East of North and travels 6.5 miles. The ship then turns due East and travels 3.8 miles.

This problem is shown in the image. The distance of ship from initial point is,

\(c=\sqrt{6.5^2+3.8^2-{2\times6.5\times3.8\times\cos (110.2)}}\\c\approx8.6\rm\; miles\)

The measure of the angle x is,

\(\angle x=\cos^{-1}\dfrac{8.6^2+3.8^2-6.5^2}{2\times8.6\times3.8}\\\angle x=44.7^o\)

Hence, the distance of the ship which leaves port on a bearing of 20.2 degrees East of North is 8.6 miles and its bearing is 44.7 degrees East of North.

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Answer:

1:2

Step-by-step explanation:

Let's say there are x males and y females in the class.

The sum of all male weights will be 72x, and the sum of all female weights will be 60y.

If we get a class mean weight, we have:

(72x + 60y) / (x+y) = 68

72x + 60y = 68x + 68y

4x = 8y

y / x = 4/8 = 1/2

So the ratio of females to males is the class is 1:2

If there is no association between two variables, then the slope of the regression line would be zero.

This means that there is no linear relationship between the two variables, and the value of one variable does not predict or influence the value of the other variable. In other words, the regression line would be a horizontal line with a slope of zero.

It is important to note that the absence of a linear relationship between two variables does not necessarily mean that there is no relationship between them.

There could be other types of relationships that are not captured by a linear model, such as nonlinear or non-monotonic relationships, or interactions between variables.

It is also possible that there is no relationship at all between the two variables. In any case, if there is no linear relationship, the slope of the regression line would be zero.

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Answer:

B. No. -6.5 is to the left of -6.3 on a number line. He should have switched the last two numbers.

Step-by-step explanation:

The experimental probability that the first slice sold during lunch tomorrow will be a slice of pepperoni pizza is approximately 0.263

The experimental probability is found by dividing the number of times the desired outcome occurred by the total number of trials. In this case, the desired outcome is selling a slice of pepperoni pizza as the first slice tomorrow.

Since we only know the number of slices sold today, we don't have any specific information about the number of slices that will be sold tomorrow. However, we can assume that the same types of pizzas will be sold tomorrow, and the probability of selling a slice of pepperoni pizza tomorrow will be the same as the proportion of pepperoni slices sold today.

So, the experimental probability that the first slice sold during lunch tomorrow will be a slice of pepperoni pizza is

Experimental probability = Number of pepperoni slices sold today / Total number of slices sold today

Experimental probability = 20 / 76

Experimental probability = 0.263

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Answer:

y > 2

Step-by-step explanation:

a double negative is basically a + sign, so its y + 5> 7, and we want Y alone so we subract 5 from 7 to get Y > 2

Answer:

\(y < 2\)

Step-by-step explanation:

\(\begin{aligned}y-(-5)+(-5)&< 7+(-5)\\y& <7-5\\y&< 2\\\text{or}\\y-(-5) &= y+5\\\therefore\,y+5& <7\\y+5-5 &<7-5\\y&<2\end{aligned}\)

Answer:

Step-by-step explanation:

\(\dfrac{a^{m}}{a^{n}}=a^{m-n}\\\\\\\dfrac{6^{-2}}{6^{4}}=a^{-2-4}=6^{-6}\)

Answer:

5.436564x^14905

Answer:

vertex angle = 72°

Step-by-step explanation:

an isosceles triangle has 2 congruent base angles and a vertex angle.

the 3 angles sum to 180° , that is

vertex + 54° + 54° = 180°

vertex + 108° = 180° ( subtract 108° from both sides )

vertex = 72°

2b

Step-by-step explanation:

-2bc-3c² -2ac+a+a²b+2ab²+2+b³

the polynomial that represents the volume of the box is is 6x^3 +5x^2 -3x-2

V=lwh

l=x+1

w=2x+1

h=3x-2

V=(x+1)(2x+1)(3x-2)

V=(x*2x+x*1+1*2x+1*1)(3x-2)

V=(2x²+x+2x+1)(3x-2)

V=(2x²+3x+1)(3x-2)

V=2x²*3x+2x²*(-2)+3x*3x+3x*(-2)+1*3x+1*(-2)

V=6x³-4x²+9x²-6x+3x-2

V=6x³+5x²-3x-2

complete question is

Find the volume of the box. Use the formula V = lwh.

Rectangular box with sides x plus 1, 2x plus 1, and 3x minus 2.

6x3 – 2

6x3+ x – 2

6x3 – 13x2 – 3x – 2

6x3 + 5x2 – 3x – 2

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Two Spiteful Uncles Walking to the Beat

A Short Story

by Grim

Lee Changseon had always loved deprived Falmouth with its magnificent, mutated mountains. It was a place where he felt delighted.

He was a down to earth, splendid, squash drinker with ruddy eyes and handsome ankle. His friends saw him as a bad, breakable barndon harera. Once, he had even helped a silky chicken cross the road. That's the sort of man he was.

Lee walked over to the window and reflected on his creepy surroundings. The snow flurried like thinking puppies.

Then he saw something in the distance, or rather someone. It was the figure of Morwenna Thornton. Morwenna was a sympathetic friend with skinny eyes and tall ankle.

Lee gulped. He was not prepared for Morwenna.

As Lee stepped outside and Morwenna came closer, he could see the squashed smile on her face.

Morwenna gazed with the affection of 747 sinister ordinary owls. She said, in hushed tones, "I love you and I want Internet access."

Lee looked back, even more sneezy and still fingering the cursed gun. "Morwenna, I just don't need you in my life any more," he replied.

They looked at each other with ecstatic feelings, like two hurt, handsome horses drinking at a very brutal snow storm, which had piano music playing in the background and two spiteful uncles walking to the beat.

Lee regarded Morwenna's skinny eyes and tall ankle. "I feel the same way!" revealed Lee with a delighted grin.

Morwenna looked jumpy, her emotions blushing like a narrow, nosy newspaper.

Then Morwenna came inside for a nice beaker of squash.

THE END lol

Answer:

\( - \frac{9}{2} \)

Step-by-step explanation:

12-3 for the change from the y-intercept

9/-2

\( - \frac{9}{2} \)

Answer:

Step-by-step explanation:

Given the points R(-4, 5) and S(2, -1), to get the distance between the points, we will use the formula;

D = √(x2-x1)²+(y2-y1)²

Given x1= -4, y1 = 5, x2 = 2 and y2 = -1

RS = √(2-(-4))²+(-1-5)²

RS = √(6)²+(-6)²

RS = √36+36

RS = √72

RS = √2×36

RS = 6√2units

To get the midpoint, we will use the formula M(X,Y) = (x1+x2/2, y1+y2/2)

(X,Y) = (-4+2/2, -1+5/2)

(X,Y) = (-2/2, 4/2)

(X,Y) = (-1,2)

Hence the midpoint is (-1,2)

To get a point P 1/3 of the distance of RS, we will multiply 1/3 with the the distance RS as shown

P = 1/3 × 6√2

P = 2√2

There are 252 different seating arrangements for the 10 people at the rehearsal dinner.

To determine the number of different seating arrangements for the 10 people at the rehearsal dinner, we can use the concept of combinations.

First, let's consider the two tables as Table A and Table B. We need to assign 5 people to each table.

To calculate the number of seating arrangements, we can use the combination formula. The formula for combinations is nCr = n! / (r!(n-r)!), where n is the total number of people and r is the number of people at each table.

In this case, we have 10 people in total, and we want to assign 5 people to each table.

So, the calculation would be:

10C5 = 10! / (5!(10-5)!)

Simplifying this expression:

10C5 = (10 × 9 × 8 × 7 × 6 × 5!) / (5! × (5 × 4 × 3 × 2 × 1))

The factorials in the numerator and denominator cancel out:

10C5 = (10 × 9 × 8 × 7 × 6) / (5 × 4 × 3 × 2 × 1)

Calculating this expression:

10C5 = 30,240 / 120

10C5 = 252

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Answer:

Volume of sphere A

= (4/3)π(3^3) = 36π cubic units

Volume of sphere B

= (4/3)π((3/2)^3) = (4/3)π(27/8) = (9/2)π = 4.5π cubic units

The ratio of the volume of sphere A to sphere B is 4.5:36 = 1:8.

The empirical formula of the compound, with half the tetrahedral holes occupied, can be determined based on the cations (m) and anions (a).

In crystal structures, tetrahedral holes refer to the spaces between close-packed ions. If half of these tetrahedral holes are occupied, it suggests that the compound has a specific arrangement of cations (m) and anions (a).

In a crystal lattice, each tetrahedral hole can accommodate one cation-anion pair. If half of the tetrahedral holes are filled, it means that the compound has a 1:1 ratio of cations to anions. This ratio is the simplest or empirical formula of the compound.

For example, if the cation is denoted as M and the anion as X, the empirical formula would be MX. This implies that for every cation M, there is one anion X present.

Therefore, based on the given information, the empirical formula of the compound would be MX.



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Option A is the correct answer which is t=(v-u)/a

This equation defines the behaviour of a physical scheme in order of its movement as a function of time in Newtonian mechanics

where:

v= final velocity

u= initial velocity

t= time

a= acceleration

Now from the following equation

v-u=at(rearrange the term)

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Answer:

The answer is 59.5

The following binary number has the value of 157 in decimal form.

Step 1: Compose the binary number in writing. 10011101

Multiplying each binary digit by the corresponding power of two in step two:

1x27 + 0x26 + 0x25 + 1x24 + 1x23 + 1x22 + 0x21 + 1x20

Solve the powers in Step 3:

1x128+0x64+0x32+1x16+8+4+0x2+1x1=128+0 + 0 + 0 + 16+8+4+0 + 0 + 1

Step 4: Add the figures listed above:

128 + 0 + 0 + 16 + 8 + 4 + 0 + 1 = 157.

A binary number is a number that is expressed in the binary system or base 2 numeral system, according to digital technology and mathematics. It talks about numerical values.by the two distinct digits 1 (one) and 0 (zero). The base-2 system is the positional notation that uses 2 as the radix.

A number that has been divided into a whole and a fraction is called a decimal. To express the numerical value of entirely and partially entire quantities between integers, decimal numbers are used.

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We need to check if lines ℓ and k are parallel. For two lines to be parallel, they must have the same slope and different y-intercepts.Let's compare the given lines:Line ℓ: y = 34x + 6Slope of line ℓ = 34Line k: y = 34x - 7Slope of line k = 34We see that the slope of lines ℓ and k is the same (34), which means that they could be parallel.

However, we still need to check if they have different y-intercepts. Line ℓ: y = 34x + 6 has a y-intercept of 6.Line k: y = 34x - 7 has a y-intercept of -7.So, lines ℓ and k have different y-intercepts, which means they are not parallel. Therefore, the correct answer is b) No.In slope-intercept form, the equation of a line is y = mx + b, where m is the slope of the line and b is its y-intercept. In this case, both lines have the same slope of 34 (the coefficient of x). The y-intercepts are different (+6 for line l and -7 for line k). Thus, the lines are not parallel.

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The answer is option a) Yes. Lines ℓ and k are parallel to each other.

The two distinct lines defined by the following two equations in slope-intercept form are:

Line ℓ: y = 34x + 6

Line k: y = 34x - 7

To determine if the lines are parallel, we need to compare their slopes since two non-vertical lines are parallel if and only if their slopes are equal.

Both lines are in slope-intercept form, so we can immediately read off their slopes:

Line ℓ has a slope of 34, and line k has a slope of 34.

Both the lines ℓ and k have the same slope of 34.

Hence, the answer is option a) Yes. Lines ℓ and k are parallel to each other.

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Answer:

15

Step-by-step explanation:

the range is the largest number take away the smallest number

56-41=15