Q2 - Distance and average speed
Use the graph to work out
the following correct to 1 dp:

Answer:

Step-by-step explanation:x=π2,3π2

Explanation:

This can be factored as (x2+a)x2+b).⇒(sin2x+3)(sin2x-1)=0⇒

2

x

=

−

3

and

sin

2

x

=

1

⇒

sin

x

=

√

−

3

and

sin

x

=

√

1

⇒

sin

x

=

∅

and

sin

x

=

±

1

⇒

x

=

π

2

,

3

π

2

Hopefully this helps!

Answer:

240,600

Step-by-step explanation:

10⁵=100,000

2.4×100,000=240,000

10²=100

6×100=600

240,000+600=240,600

Compute the sum to simplify C :

[tex]C = \begin{bmatrix}16-0.5 & 9+0 \\ -3+5 & 0 + 8 \\ 4-3 & -10+14\end{bmatrix} = \begin{bmatrix}15.5 & 9 \\ 2 & 8 \\ 1 & 4\end{bmatrix}[/tex]

Now, [tex]c_{ij}[/tex] is the entry of the matrix in row i and column j, so

[tex]C = \begin{bmatrix}15.5 & \boxed{9} \\ 2 & 8 \\ 1 & 4\end{bmatrix} \implies c_{12} = 9[/tex]

[tex]C = \begin{bmatrix}15.5 & 9 \\ 2 & 8 \\ \boxed{1} & 4\end{bmatrix} \implies c_{31} = 1[/tex]

[tex]C = \begin{bmatrix}15.5 & 9 \\ 2 & \boxed{8} \\ 1 & 4\end{bmatrix} \implies c_{22} = 8[/tex]

Step-by-step explanation:

it shows that all the small triangles that together make the complete square (c²) under the Hypotenuse consist of exactly all the composing triangles of the squares above the legs (a² and b²).

we find the 2 purple, the 2 orange, the 2 yellow and the 2 blue triangles there.

so, the area of c² must be the same as the sum of the areas of a² and b².

Answer:

(10,7)

Step-by-step explanation:

4x -3y = 19

2x-3y = -1         <======= multiply this equation by - 2

-4x + 6y = 2     <======= now add this to the top equation

      3y = 21         <=====   y = 7  

                                use this value in one of the equations to find x = 10

The Weekly Sales for 30 shelf spaces is 3.04

The proper table is added as an attachment.

Next, we determine the regression equation using a graphing calculator.

From the graphing calculator, we have the following calculation summary:

The regression equation is represented as:

y = bx + a

Where

b = SP/SSX = 46/750 = 0.06133

a = MY - bMX = 2.12 - (0.06*15) = 1.2

So, we have:

ŷ = 0.06133x + 1.2

When x =30, we have:

ŷ = 0.06133 * 30 + 1.2

Evaluate

ŷ = 3.04

Hence, the Weekly Sales for 30 shelf spaces is 3.04

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Answer:

3(5/6)^4

Step-by-step explanation:

The heights are changing by a constant factor. g1 is the first term, r is the common ratio, and n is the term number. Since the tallest pole is 3 ft so itll be g1=3. Heights are decreasing by 5/6 so r=(5/6). Since there are 5 posts shortest post will be n=5. Expression for the shortest pole is g5=3(5/6)^5-1 it simplifies to the answer

Answer:

90°

radius is perpendicular to tangent.

Step-by-step explanation:

Answer:

I think it's

G: 71

H: 109

K: 151

M: 29

Step-by-step explanation:

This shows many straight angles, which we can use to find the answers.

H and 71 are on one, every right angle is 180 degrees, so we subtract 71 from 180 and get 109. G and 71 are vertical angles which makes them the same, therefore G is also 61.

M and 151 are on another straight angle, so we do the same thing, subtract 151 from 180 and we get 29. There is a line under that and M and the little unmarked angle are vertical angles so they are the same making the little one 29, making K also 151.

Hope this helps

Answer:

I don't know F but if y'all do let me now.

Step-by-step explanation:

(b) the price in the very middle of a data set, with exactly half of the houses priced for less and half priced for more.

(c) The mode is the value that appears most frequently in a data set. A set of data may have one mode, more than one mode, or no mode at all. Other popular measures of central tendency include the mean, or the average of a set, and the median, the middle value in a set.

(d) The two biggest things that come to mind right away is how is it going to be used and who is going to be using it? While we would all love to get the highest quality that’s just not always possible. So, that’s a good starting point for me is considering the answer to those two questions.

(e) Price and other details may vary based on product size and color.

The difference between the most and least expensive lamps represented on the stem and leaf plot is 66.

The stem and leaf plot that completes the question is added as an attachment.

The median cost is the leaf element at the middle.

The plot has 18 leaves.

So, the median position is:

Median = (18 + 1)/2 = 9.5th

This means that the median is the mean of the 9th and the 10th items.

So, we have:

Median = (58 + 58)/2

Median = 58

Hence, the median cost is $58

This is the element with the highest frequency in the plot.

From the attached plot 65 has the highest frequency of 3

Hence, the modal cost is 65

From the plot, we have:

Most expensive = 78

Least expensive = 12

The difference (d) is:

d = 78 - 12

d = 66

Hence, the difference between the most and least expensive lamps is 66.

This means that we check the items in the range 20 to 40 (exclusive)

The elements in this range are:

25, 28, 30, 32 and  34

Hence, 5 lamps that cost more than $20 but less than $40

From the plot, we have:

Less than $40 =  6

More than $40 =  12

The ratio is represented as:

Ratio = 6 : 12

Simplify

Ratio = 1 : 2

Hence, the ratio of lamps that cost less than $40 to more than $40 is 1 : 2

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karen's conclusion is valid because the association does imply causation.

An association claim asserts that a particular level of one variable is expected to be related to a specific level of another variable. As two variables are related, they are said to be correlated, which means that when one variable varies, the other variable tends to change as well. 

An association claim must include at least two variables that are measured rather than manipulated.

While an association claim just acknowledges a connection between two variables, a causal claim goes a step further by claiming that one of the factors is responsible for altering the other.

Therefore, we can conclude that the claim which states that:

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Answer:

Association does not equal Causation, since Karen's theory does not have any evidence to prove causation, her theory is invalid.

Step-by-step explanation:

Answer:

1/3

1/2

Step-by-step explanation:

Sum being greter than 8, means 9,10,11,12 (12 is max as 6+6)

You can get 9 in these ways, (6+3),(5+4),(4+5),(3+6)

For 10, (6+4),(5+5),(5+5),(4+6)

For 11, (6+5),(5+6)

For 12 (6+6),(6+6)

Each outcome has probability of 1/6 x 1/6 = 1/36

There are 12 outcomes hence 12(1/36) = 12/36 = 1/3

Part b is 1/2 because half of dice has odd numbers.

Answer:

a) angle A = angle Z

angle B = angle X

angle C = angle Y

b) AB= ZX

AC=ZY

BC=XY

c) triangle CAB=YZX

hope it helps you

The density become by the elemental composition of the person has will be 0.258 and hence, option (A) will be correct.

In science, density is defined as the ratio of an object's mass to volume. Technical and statistical density assessments are done using a technique. The theory is applicable to the laws of nature in sciences like physics, where the emphasis is on things and matter.

Because density affects so many aspects of life, comprehending it is crucial. Which cells will float high in the atmosphere and which will sink lower depends on density, according to physics.

Given that the element has

Volume = 16 cubic inch

weight = 4.13 pound

Since density = weight / volume

density = 4.13/16

density = 0.258 which is matching through option (A) hence it will be correct.

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The surface area of the right cone is 141 sq. units. The correct option is B. 141 sq. units

From the question, we are to determine the surface area of the given right cone

The total surface area of a cone can be calculated by using the formula,

TSA = πrl + πr²

Where TSA is the total surface area

r is the radius

and l is the slant height

From the given information,

r = 3

l = 12

Putting the parameters into the formula, we get

TSA = (π×3×12) + (π ×3²)

TSA = 36π + 9π

TSA = 45π sq. units

TSA = 141.37 sq. units

TSA ≅ 141 sq. units

Hence, the surface area of the right cone is 141 sq. units. The correct option is B. 141 sq. units

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Step-by-step explanation:

Select all of the following that are quadratic equations.

x² + 3x - 5 = 0 ✓

x² - x = 3x + 7 ✓

5x - 7 = 0 X

7x² + 14x = 0 ✓

x³ - 3x² + 1 = 0 X

x - 5 = 9x + 7 X

What is quadratic equations?

Quadratic equations is a equation that has a general form like "ax² + bx = c"

For example :

x² + 3x - 5 = 0

x² + 3x = 5

x² → ax²

3x → bx

5 → c

Answer:

  A. one along the x-axis, and one along the y-axis

Step-by-step explanation:

For any kind of a plot, one variable is displayed along each axis.

__

A scatter plot has variables displayed one along the x-axis, and one along the y-axis.

Answer:

A. one along the x-axis, and one along the y-axis

Step-by-step explanation:

Edge 2023

The quotient of 874 and 23 determined using an area model is 38.

It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has a basic four operators that is +, -, ×, and ÷.

We have:

= 874 ÷ 23

= (800 + 74 + 4) ÷ 23

We can get the answer by using the area model:

If divide 874 with 23 we get 184 as a remainder and 030 as a quotient

Further, if  we divide 184 with 23 we get 0 as a remainder and 008

874 ÷ 23 = 030 + 008 = 38

Thus, the quotient of 874 and 23 determined using an area model is 38.

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Answer:

[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]

The given equation is a Quadratic equation, so it's graph must be a parabola, and the Coefficient of x² is positive that means the parabola must have an opening upward.

And 2 is added to the ideal equation, so the parabola must have shift 2 units up from x - axis.

From the above information, we can easily conclude that the Correct representation is done in graph 4

The probability that the spinner will land on a number greater than 4 or on a shaded section is 2/3

The given parameters are:

Using the above parameters, we have the following probabilities

P(Greater than 4) = 2/6

P(Shaded) = 3/6

P(Shaded section and greater than 4) = 1/6

The required probability is then calculated using:

P = 2/6 + 3/6 - 1/6

Evaluate

P = 4/6

Simplify

P = 2/3

Hence, the probability that the spinner will land on a number greater than 4 or on a shaded section is 2/3

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Answer:

b < 12.5

Step-by-step explanation:

2b + 5 < 30

1. Subtract 5 from both sides:

2b < 25

2. Divide both sides by 2:

b < 12.5

Final answer: b < 12.5

The value of b is any value that is less (smaller) than 12.5.

Hope this helps!

Answer:

m=15/14

Step-by-step explanation:

y2-y1

x2-x1

(3, 0) (-11, -15)

x1 y1   x2   y2

-15-0

-11-3          = -15/-14 m=-15/-14 = 15/14

Using a system of equations, it is found that the value of b in the function would be of 6.

A system of equations is when two or more variables are related, and equations are built to find the values of each variable.

In this problem, considering that when x = 0, y = 15, we have that c = 15.

Then, when x = -1, y = 10, hence:

a - b + 15 = 10.

a - b = -5.

a = b - 5.

When x = 1, y = 22, hence:

a + b + 15 = 22.

a + b = 7.

Since a = b - 5:

b - 5 + b = 7.

2b = 12.

b = 6.

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Answer:

B) 6

Step-by-step explanation:

I took the exam for alg 2

Answer:

Step-by-step explanation:

it might be like this but im not sure

The function that could be the function h is option A.

This refers to the type of function that can be defined by a rational fraction and contains polynomials.

Hence, we can see that option A is correct because x²+16 never turns 0, and this makes this function continuous and both the numerator and denominator are both polynomials of the second degree.

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