*16 (b)
(√3-1) cm
A
75°
B
You are given that sin 75º =
5√2 cm
√3+1
2√2
Show that the area of triangle ABC is 2½ cm²
Nof
acc
C

No, a linear model is not appropriate for the data because; the residual plot indicates that the residuals are far off the horizontal.

It follows from the task content that it is required to determine if a linear model is appropriate for the given data.

By observation of the scatter plot and the line of best fit; it is evident that the residuals are large (meaning that actually values are far off the predicted values).

Conclusively, the residual plot is a confirmation of the inappropriateness of a linear model for the given data. This follows from the fact that the residuals are large as evident in the how far the residual plot points are to the horizontal.

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The values that make the inequality, h < 3h < 3, true are the values of h in the range 0 < h < 1. The values -5, -2, 0, 2, 2.9, 2.99, 2.999, 3, 3.001, 3.01, 3.1, 4, 6, 8, 11, are larger or smaller than the values make the inequality true.

An is a comparison between two expressions, using non equal expressions, such as ≥, >, ≠,  <, or ≤ symbols.

The specified inequality is; h < 3·h < 3

When h < 3·h, we get;

h is a positive number larger than 0, such that we get;

When h < 0, 3·h < h

Therefore; h > 0

The inequality, 3·h < 3, indicates;

3·h < 3

h < 3/3 = 1

h < 1

Which indicates that we get;

0 < h < 1

Therefore, non of the values make the inequality, h < 3·h < 3

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At the end of the sale, there were a total of 196 customers in the store for the given function.

The earliest known attempt to the notion of function may be traced back to works of Persian mathematicians Al-Biruni and Sharaf al-Din al-Tusi. Functions were initially the idealization of how a variable quantity depended on another quantity.

The total number of shoppers in the store is the number of shoppers present at the start of the sale Plus the number of shoppers who entered the store minus the number of shoppers who left.

Given that there were no shoppers in the store before the sale began, the number of shoppers in the store at the start of the sale is 0.

It is assumed that the number of customers who have entered the store is represented by S(t)=0.5t⁴-16t³+144t².

So, at t=12, the number of shoppers in the store is S(12)=

0.5(12)⁴-16(12)³+144(12)²

S(12)=3456 shoppers.

L(t)= -80+(4400/t²-14t+55)

At t=12,

[tex]\int\limits^{12}_0 {L(t)} \, dt[/tex]=[tex]\int\limits^{12}_0[/tex]( -80+(4400/t²-14t+55))dt

At the end of the sale, there were a total of 196 customers in the store.

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Answer:

z = 36

x = 120

Step-by-step explanation:

Answer: omm

but I need this so

Step-by-step explanation:

The coordinates of point D on the given line that intercepts the y-axis are: (0, 15/2).

The coordinates of the point where a line intercepts the y-axis are the coordinates of the y-intercept of the line.

In the image given, a line to intercept the y-axis at point D. Point D is the y-intercept of the line. The coordinates of point D are the coordinates of the y-intercept of the line.

Step 1: Find the slope of the line using the two points, (-6, 0) and (2, 10)

Slope (m) = change in y / change in x = (10 - 0) / (2 -(-6))

Slope (m) = 10/8

m = 5/4

Step 2: Find the y-intercept of the line by substituting (x, y) = (2, 10) and m = 5/4 into y = mx + b

10 = 5/4(2) + b

10 = 5/2 + b

10 - 5/2 = b

15/2 = b

b = 15/2

The coordinates of the y-intercept is (0, 15/2). Therefore, the coordinates of point D are (0, 15/2).

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Answers in bold

Median of car 1:  249

Median of car 2:  251

====================================================

Explanation:

This is the data set for car 1

[tex]\begin{array}{|c|c|c|c|c|} \cline{1-5}202 & 247 & 241 & 223 & 246\\\cline{1-5}253 & 271 & 241 & 291 & 249\\\cline{1-5}259 & 257 & 261 & 246 & 268\\\cline{1-5}\end{array}[/tex]

Which when written out as a single long line, we have this:

202, 247, 241, 223, 246, 253, 271, 241, 291, 249, 259, 257, 261, 246, 268

Sort those values from smallest to largest to get this set

202, 223, 241, 241, 246, 246, 247, 249, 253, 257, 259, 261, 268, 271, 291

There are n = 15 items in that set.

n/2 = 15/2 = 7.5 which rounds to 8

The middle-most item, aka median, is in slot 8.

There are 7 items below the median, and 7 items above it. Giving us 7+1+7 = 15 items total.

Start at "202" and count 8 slots to the right until you arrive at 249 which is the median of the car 1 data set. Make sure you are looking at the sorted data set.

Follow similar steps for the car 2 data set. You should get 251 as the median of the car 2 data set.

Answer:

x < 11

Step-by-step explanation:

there you go :)

Answer:

the answer is no

Step-by-step explanation:

This is an exterior angle because x and y=180.

now let us pretend those sides are z. Each side is equal.

So x=z

so z=y

now 180/3 is 60

so x or z is 60.

now we use exterior angle and now we do 180-60 is 120.

SO

X=60

Y=120

now we make sure by z times 2 should equal y and z=x and x=60 and 60 time 2 is 120 so it is correct.

Answer: $7

Step-by-step explanation:

We know that $28 for four people.

So we take 28 divided by 4 and we get $7 per people

Ques) What is the symbol (∑)?

This symbol is used to denote the sum of multiple numbers.

This symbol is generally put by an index that varies to encompass all terms that must be considered in the sum of all the numbers.

In order to calculate the arithmetic mean of a set of data, the first step is to add up (sum) all of the data values (x) and then divide the result by the number of values (n). Since ∑ is the symbol used to indicate that values are to be summed (see Sigma Notation) we obtain the following formula for the mean

Mean = ∑ x/n

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The two true statements about these are,

The volume of both the tennis ball and squash ball is proportionate to the

the scale factor of the radii.

The scale factor of the volume of the tennis ball to the volume of the

squash ball is approximately 8.

In geometry, a sphere is a three-dimensional solid figure, which is round in shape.

The surface area is 4πr².

The volume is (4/3)πr³.

The diameter is 2×radius of the sphere.

Given, A tennis ball is a sphere with a radius of 1.56 inches. A squash ball is also a sphere with a radius of 0.78 inches.

So, The volume of the tennis ball is (4/3)π(1.56)³ = 16 cubic inches.

The volume of the squash ball is (4/3)π(0.78)³ = 2 cubic inches.

The volume of both the tennis ball and squash ball is proportionate to the

the scale factor of the radii.

The scale factor of the volume of the tennis ball to the volume of the

squash ball is approximately 8.

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Answer:

200*1-0.95-0.95+0.9025

200*1-1.9+0.9025

200*0.0025

0.5

The tax on a car that sells for $16,500 at the rate of  6.7%  is $195.5 higher.

What is the percentage?

A percentage is a figure or ratio stated as a fraction of 100 in mathematics. Although the abbreviations "pct.", "pct.", and occasionally "pc" are also used, the percent symbol, "%," is frequently used to indicate it. A % is a number without dimensions and without a standard measurement.

We have,

First car price is  =  $13,500

and tax of the first car is = $910

Second car price is  =  $16,500

and tax of the second car is = ?

so,

 $13,500 -----    100,

  $910      -----    x

x = 910 * 100 / 13500

x =  6.7

therefore, the rate of tax is 6.7%

so, we will calculate the tax for the second car,

$16,500 -----    100,

    y        -----    6.7

y = 6.7 * 16,500 / 100

y = $1105.5

difference of tax price between two cars = $1105.5 - $910 = $195.5

Hence, the tax on a car that sells for $16,500 at the rate of  6.7%  is $195.5 higher.

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Answer:

2

Step-by-step explanation:

The y-intercept is the point at which the graph crosses the y-axis.

(I have marked it in blue on the attached graph).

From inspection of the given graph, the line crosses the y-axis at point (0, 2). So the y-intercept is 2.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

The expressions that are simplified are:

[tex]n^{4}[/tex]

[tex]\frac{1}{n^{-5}}[/tex]

[tex]\frac{1}{n^3}[/tex]

Options A, B, and E are the correct answer.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

[tex]n^{4}[/tex]

This is already simplified.

[tex]\frac{1}{n^{-5}}[/tex]

This is already simplified.

[tex]n^6 . n^{-8}[/tex]

= [tex]n^{6 - 8}[/tex]

= [tex]n^{-2}[/tex]

[tex]n^7 . p^8[/tex]

= [tex]n^{7 + 8}[/tex]

= [tex]n^{15}[/tex]

[tex]\frac{1}{n^3}[/tex]

This is already in simplified form.

Thus,

The expressions that are simplified are:

[tex]n^{4}[/tex]

[tex]\frac{1}{n^{-5}}[/tex]

[tex]\frac{1}{n^3}[/tex]

Options A, B, and E are the correct answer.

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The number of calories in one cup is 132 calories and the number of calories in 4 cups is 528 calories.

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that a box of cereal states that there are 99 calories in a ​3/4 cup serving.

The number of calories per cup is calculated as,

3 / 4 cup = 99 calories'

1 cup = 99 x (4 / 3 )

1 cup = 132 calories

The number of calories for 4 cups of cereal,

1 cup = 132 calories

4 cup = 132 x 4 calories

4 cup = 528 calories

Therefore, the number of calories in one cup is 132 calories and the number of calories in 4 cups is 528 calories.

Therefore, the number of calories in one cup is 132 calories and the number of calories in 4 cups is 528 calories.

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The best treatment for this patient's acute blood pressure control is to administer an intravenous (IV) antihypertensive medication such as labetalol or nitroprusside. Additionally, it is important to assess for underlying causes of her elevated blood pressure such as infection, kidney disease, or heart failure.

What is blood pressure?
Blood pressure (BP) is indeed the force exerted by moving blood against blood vessel walls. The heart's action of trying to pump blood through the blood vessels is largely responsible for this pressure. The pressure in the major arteries is meant when the term "blood pressure" is used without qualification. Systolic pressure, or the highest pressure during one heartbeat, is typically expressed as the ratio of diastolic pressure, or the lowest pressure between two heartbeats, in blood pressure measurements. It is expressed as a millimetre of mercury (mmHg) just above atmospheric pressure in the immediate vicinity. Along with respiratory rate, pulse rate, oxygen levels, and body temperature, blood pressure is among the vital signs that medical professionals consider when assessing a patient's health.

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Answer:

Choice B

Step-by-step explanation:

The graph crosses the xy-plane at the following places for x:

x = -5

x = -2

x = 3

x = 7

Look at choice B.

Setting (x - 3)^2, (x + 5)^2, (x - 7) and (x + 2) to zero and solving for x leads to the crossing locations on the xy-plane as shown on the graph.

Answer:

x - 6y = 14

Step-by-step explanation:

Add the like terms (x's and y's and constants):

 -2x+4y= 17

+ (3x-10y= -3​)

   x - 6y = 14

Answer:

Neither

Step-by-step explanation:

Line d:

m = 4-9/2-6 = -5/-4 = 5/4

Line e:

m = 7-3/10-5 = 4/5

It would be neither because if it was perpendicular, one of the slopes' would have to be negative.

The Trigonometric ratios are:

P/H = Sinθ

B/H = Cosθ

P/B = Tanθ

H/P = Cosecθ

H/B = Secθ

B/P = Cotθ

Where,

'P' represents the perpendicular

'B' represents the base

'H' = represents the hypotenuse

P/H = Sinθ

B/H = Cosθ

P/B = Tanθ

A. As the values of p, b or h are not given.

Pythagoras Theorem states that:

h² = p² + b² or h = [tex]\sqrt{p^2 + b^2}[/tex]

Altitude of a triangle is usually given by the perpendicular,

So,

h² = p² + b²

h² - b² = p²

p² = h² - b²

p  = [tex]\sqrt{h^2 - b^2}[/tex]

B. The trigonometric ratios for θ = 60°

Sin 60 = √3/2

Cos 60 = 1/2

Tan 60 = √3

C. The trigonometric ratios for θ = 30°

Sin 30 = 1/2

Cos 30 = √3/2

Tan 30 = 1/√3

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The total number of people at the stadium was 6800 people .

A Percent in mathematics is defined as a number or ratio that is expressed as a fraction of 100 , it is denoted by sign "%" .

For Example : 2% is = 2/100   .

In the question ,

it is given that ,

percent of teenagers fans in the stadium is = 5%

number of teenagers present at the football stadium is = 340

which means 5% represents 340 people ,

So , 1% will be 340/5 = 68 people .

the total percent of people present in the stadium is = 100% ,

multiplying both sides by 100 ,

we get ,

So , 100%  = 68 × 100 = 6800 people

Therefore , The total attendance at the football stadium was 6800 people .

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first of all, let's find the common ratio in this geometric sequence, by simply dividing a any of the terms by the term right behind it, hmmm say -12 and 16

[tex]16~~,~~-12~~,~~9~~,~~-\cfrac{27}{4}~\hfill \stackrel{\textit{\LARGE common ratio}}{\cfrac{-12}{16}\implies -\cfrac{3}{4}} \\\\[-0.35em] ~\dotfill\\\\ \qquad \qquad \textit{sum of an infinite geometric sequence} \\\\ \displaystyle S=\sum\limits_{i=0}^{\infty}\ a_1\cdot r^i\implies S=\cfrac{a_1}{1-r}\quad \begin{cases} a_1=\textit{first term}\\ r=\textit{common ratio}\\ \qquad -1 < r < 1\\[-0.5em] \hrulefill\\ a_1=16\\[1em] r=-\frac{3}{4} \end{cases}[/tex]

[tex]S=\cfrac{16}{ ~~ 1-\left( -\frac{3}{4} \right) ~~ }\implies S=\cfrac{16}{ ~~ 1 + \frac{3}{4} ~~ }\implies S=\cfrac{16}{~~ \frac{ 7}{ 4} ~~}\implies S=\cfrac{64}{7}[/tex]

The equation -7(8x + 5) = 5x+10 has one solution of x which satisfies the equation. The solution is x = -45/61.

What is solution of system of equation?

A solution to a system of equations is a set of values for the variable that satisfy all the equations simultaneously. In order to solve a system of equations, one must find all the sets of values of the variables that constitutes solutions of the system.

According to the given question:

Given equations is -7(8x + 5) = 5x+10

Simplifying both sides to get value of x

-7(8x + 5) = 5x+10

-56x - 35 = 5x + 10

-61x = 45

x = -45/61

Therefore x has one solution which is -45/61

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The expression 30 _ 50 can be written as 2 factors as: 5(6 + 10).

A factor, in mathematics, can be described as an integer that is a divisor of another integer that will produce a value it can be multiplied with to can that same integer it divides.

For example, if m/n = a, and (m)(a) = n, then m and n are factors.

Given the expression, 30 + 50, we can write this expression as product of factors as shown below:

5 into 30 is 6

5 into 50 is 10.

Therefore:

5(6 + 10)

Therefore, the two factors of the expression, 30 + 50 are written as: 5(6 + 10).

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Answer:The value of p is -9.

Step-by-step explanation:

m=(y2-y1)/(x2-x1)m=(p-3)/(9-6)m=(p-3)/3-4=(p-3)/3-4*3=p-3-12=p-3p=-12+3p=-9

Answer:

3x3 should be the maximum dimensions of a rectangle with a perimeter of 12.