Which inequality matches the graph?
A) X > -2
B) x < -2
C) x = -2
D) XS-2

Answer:

155

Step-by-step explanation:

You must first subtract the lowest number (241) from the highest number (396) Then you get 155! I hope this helps!

Answer:

To check your work, 8 + 8 is 16

Step-by-step explanation:

need bwainlist to maybe u can help out chika???

Answer:

wha yu need help wit? i will help if anything and what grade is this.

Answer:

0.5 km

Step-by-step explanation:

0.5 kilometers is by far the largest measurement here.

Answer:

a

 \(P(r n L) =  0.12\)  

b

 \(P(L) = 0.225\)

c

  \(P(\= r | L) = 0.4667 \)

Step-by-step explanation:

The chance that it will rain is  \(P(r ) = 0.30 \)

 The chance that it does not rain is \(P(\= r ) = 1 - P(r )  \)

                                                             \(P(\= r ) = 1 -0.30  \)

                                                              \(P(\= r ) = 0.70  \)

The probability that the bus run late if it rains is  \(P(L | r) = 0.4\)

 The probability that the bus run late if it does not rain is   \(P(L | \= r) = 0.15\)

  Generally the probability that it will rain and the bus will be late is mathematically represented as

     \(P(r n L) = P(L | r) * P(r)\)

=>  \(P(r n L) = 0.4 * 0.30\)

=>  \(P(r n L) = 0.12\)  

Generally the probability that the bus will be late is mathematically represented as

     \(P(L) = P(r) * P(L|r) + P(L | \= r) * P(\= r)\)

=>  \(P(L) = 0.30 * 0.4 +0.15*0.70\)

 =>  \(P(L) = 0.225\)

Generally given that the bus ran late,  the probability that the bus it was not raining is mathematically represented as

      \(P(\= r | L) = 1- P(r | L )\)

Here  \(P(r | L ) = \frac{P(r n L)}{P(L)}\)

=>   \(P(r | L ) = \frac{0.12}{0.225}\)

=>   \(P(r | L ) = 0.533 \)

So

      \(P(\= r | L) =  1- 0.533\)

   =>   \(P(\= r | L) =  0.467 \)

Answer:

149 sq. ft

Step-by-step explanation:

For the triangle:

Base = 16-9 = 7 ft

Area of Triangle = 1/2 of  b.h

= 1/2 of 7 * 6

= 21 sq. ft

Area of Rectangle = l.b

= 5 * 16

= 128 sq. ft

Total Area = 149 sq. ft

Answer:

a

Step-by-step explanation:

Answer: The correct answer is B. 1/9=3^-2

Step-by-step explanation:

Answer:

a) 0.7

b) 0.3

c) 0

d) 1

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

(a) Coke

Out of 10, 7. So

\(p = \frac{7}{10} = 0.7\)

(b) fanta

3 out of 10. So

\(p = \frac{3}{10} = 0.3\)

(c) neither Coke nor fanta

7 Coke, 3 fanta, so all 10 are either coke or fanta. Thus:

\(p = \frac{0}{10} = 0\)

(d) either Coke or fanta​

All 10. Thus:

\(p = \frac{10}{10} = 1\)

(i) \(\lim_{x \to \pi/3}\) f(x) = 1 + √3.

(ii) \(\lim_{x \to \frac{\pi}{4}} f(x)\) does not exist.

For λ = 2.5, the function f(x) will be continuous at x = 0.

Given the function is,

f(x) = 1.5, when x = 0

    = 1 -2 sin x, when x < π/4

    = 1 + 2 sin x, when x > π/4

    = 1 + (sin λx/sin 5x)

Now,

\(\lim_{x \to \pi/3}\) f(x) = \(\lim_{x \to \pi/3}\) (1 + 2 sin x) [Since, π/3 > π/4]

                    = 1 + 2 sin (π/3)

                    = 1 + 2√3/2 = 1 + √3

Hence, \(\lim_{x \to \pi/3}\) f(x) = 1 + √3.

Now left hand limit is,

\(\lim_{x \to \frac{\pi^+}{4}}\) f(x) = \(\lim_{x \to \frac{\pi^+}{4}}\) (1 + 2sin x) = 1 +2 sin(π/4) = 1 + 2*(1/√2) = 1 + √2

and right hand limit is,

\(\lim_{x \to \frac{\pi^-}{4}}\) f(x) = \(\lim_{x \to \frac{\pi^-}{4}}\) (1 - 2 sin x) = 1 - 2*(1/√2) = 1 - √2

Since left hand limit and right hand limit are not equal so value of \(\lim_{x \to \frac{\pi}{4}} f(x)\) does not exist.

\(\lim_{x \to 0}\) f(x) = \(\lim_{x \to 0}\) (1 + (sin λx/sin 5x)) = 1 + \(\lim_{x \to 0}\) ((sin λx/λx)/(sin 5x/5x))*(λ/5) = 1 + λ/5

Since f(x) is continuous at x = 0.

So, \(\lim_{x \to 0}\) f(x) = f(0)

1 + λ/5 = 1.5

λ/5 = 1.5 - 1 = 0.5

λ = 2.5

Hence the value of λ will be 2.5.

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The simplified fraction is −|a+b|2−c= -3/5 when a=4 , b=−1 , and c=−3

A fraction  indicates a portion of a whole or, more broadly, any number of equal parts. In everyday English, a fraction defines how many pieces of a specific size there are, for example, one-half, eight-fifths, and three-quarters. A common, vulgar, or simple fraction consists of a numerator displayed above a line (or before a slash like 12) and a non-zero denominator displayed below (or after) that line. Numerators and denominators are also employed in uncommon fractions, such as compound fractions, complex fractions, and mixed numerals.

The numerator and denominator of positive common fractions are both natural integers. The denominator represents a number of equal parts, while the numerator represents a number of equal parts.

Given,

a=4

b=-1

c=-3

= -|a +b|/2-c

= -|4-1|/2-(-3)

= -|3|/2+3

- |3|/5

= -3/5

Therefore, −|a+b|2−c= -3/5

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4.8(9−x)+36=102−2.5(2x+2)

First we will expand the equation by removing those parenthesis. We can use the distributive property. An example is 4.8(9-x) is 43.2-4.8x

43.2-4.8x+36 = 102-5x-5

Then we simplify each side by combining like terms.

79.2-4.8x=97-5x

Then to isolate the variable, we will subtract 79.2 on both sides.

-4.8x=17.8-5x

Then add 5x on both sides

0.2x=17.8

Finally, divide both sides by 0.2 and you get

x=89

Answer:

x =89

Step-by-step explanation:

4.8(9-x)+36=102-2.5(2x+2)

Distribute

43.2 - 4.8x + 36 = 102 - 5x -5

Combine like terms

79.2 -4.8x = 97-5x

Add 5x to each side

79.2 -4.8x+5x = 97-5x+5x

79.2 + .2x = 97

Subtract 79.2 from each side

79.2 -79.2+ .2x = 97-79.2

.2x =17.8

Divide by .2

.2x/.2 = 17.8/.2

x =89

Answer: It depends on the position.

Step-by-step explanation: Knights are better in closed positions and bishops are better in open positions. So they are better than the other in different scenarios.

The system of equations as an augmented matrix is \(\left[\begin{array}{ccc|c}1&0&0&100\\0&-5&-7&350\\0&-5&-9&200\end{array}\right]\)

From the question, we have the following parameters that can be used in our computation:

x                  = 100

   -5m  - 7c  = 350

   -5m  - 9c  = 200

The above means that the variables in the system of equations are

x, m and c

So, we have the following representation

x    m     c        

1    0      0        100

0   -5    -7        350

0   -5    -9        200

When represented as an augmented matrix, we have

\(\left[\begin{array}{ccc|c}1&0&0&100\\0&-5&-7&350\\0&-5&-9&200\end{array}\right]\)

Hence, the augmented matrix is \(\left[\begin{array}{ccc|c}1&0&0&100\\0&-5&-7&350\\0&-5&-9&200\end{array}\right]\)

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Answer:

noon 180 degrees from 12 to 12

Answer: y = 5.4

Step-by-step explanation: This is a proportional statement. So we can set up a system of proportions.

So we know when x is 5, y is 3. Thus, we can set up a proportion \(\frac{x}{y}\) such that substituting will give \(\frac{5}{3}\).

Now, we know when x is 9, y is some unknown number. So we can set up the second proportion as \(\frac{9}{y}\).

Since 5/3 and 9/y are directly proportional, these 2 expressions are therefore equal. So we have \(\frac{5}3}\) \(= \frac{9}{y}\).

Cross multiplying, we get \(5y = 27\).

Dividing by 5, we get \(y = 5.4\)

Hope this helped!

Answer:

Price of a notepad in terms of k ⇒ (k - 8)/4

Step-by-step explanation:

Let the price of a notepad be n.

8 + 4n = k

In order to get the answer, we've to make n as the subject of the above equation.

8 + 4n = k

4n = k - 8

n = (k - 8) / 4

y=1/4x-2 is a perpendicular line and y=-4x+3 is a parallel line.

The equation y= -2 -4x in the form of slope intercept form y=mx+b is y=-4x-2.

Where m represents the slope and y intercept is -2.

The slope of a line perpendicular to another line is the negative reciprocal of the slope of the given line.

The negative reciprocal of -4 is 1/4.

Therefore, the slope of the perpendicular line is 1/4.

The perpendicular line is y=1/4x-2.

We know that the parallel lines have same slope.

y=-4x+3

Hence, y=1/4x-2 is a perpendicular line and y=-4x+3 is a parallel line.

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The system of the equations that has a solution of (-2, 0, 1) will be x + y + z = -1, x + y + 2z = 0, and x + 2y + 3z = 1.

A Linear system is a system in which the degree of the variable in the equation is one. It may contain one, two, or more than two variables.

The system of the equations that has a solution of (-2, 0, 1) will be

Let the number of variables be x, y, and z.

Then we have

Then the first equation will be

x + y + z = -1

Then the second equation will be

x + y + 2z = 0

Then the third equation will be

x + 2y + 3z = 1

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2.1 The height of the given container is \(\frac{250}{\pi r^{2} }\) cm.

2.2 The surface area in terms of r is 2πr (r + \(\frac{250}{\pi r^{2} }\) ) square cm.

2.3 The measure of radius i.e. r is 3.41 cm and the minimum surface area of the container is 221.19 square cm.

2.4 The cost of the container is not determinable as there is no data provided regarding it.

The solution has been obtained by using the formulas of cylinder.

What is a cylinder?

The cylinder, one of the most basic curvilinear geometric shapes, has traditionally been regarded as a three-dimensional solid. It is regarded as a prism with a circle as its basis in elementary geometry.

2.1 We are given that the volume of the container is 250 cubic cm.

So, using the volume of cylinder, we get the radius as

⇒ V = πr²h

⇒ 250 = πr²h

⇒ h = \(\frac{250}{\pi r^{2} }\) cm

2.2 Now, using the formula of surface area of cylinder, we get

⇒ Surface area = 2πr (r + h)

⇒ Surface area = 2πr (r + \(\frac{250}{\pi r^{2} }\))

2.3 For surface area to be minimum, we need to equate its derivative to 0.

On simplifying the surface area, we get

Area (A) = 2π\(r^{2}\) + \(\frac{500}{r}\)

Now, its derivative is

A' = 4πr - \(\frac{500}{r^{2} }\)

On equating it to 0, we get

⇒ 4πr - \(\frac{500}{r^{2} }\) = 0

⇒ 4πr = \(\frac{500}{r^{2} }\)

⇒ 4π\(r^{3}\) = 500

⇒ r = 3.41 cm

Now, on substituting this value in the area, we get

⇒ Surface area = 2π\(r^{2}\) + \(\frac{500}{r}\)

⇒ Surface area = 2π\((3.41)^{2}\) + \(\frac{500}{3.41}\)

⇒ Surface area = 221.19 square cm

2.4 The cost of the container can not be determined as no data for the same is provided.

Hence, the complete solution has been obtained.

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Answer:

24 over 15

Step-by-step explanation:

Answer:

Step-by-step explanation:

Suppose our starting point is (a, b),  If (a, b) is translated left by 15 units and up by 24 units, then the new coordinates are (a + 15, b + 24).

Step-by-step explanation:

The 'mean' is the 'average'

    add all of the heights together .....thien divide by the NUMBER of heights that were used.

When 'x' is 5, the Algebraic  expression 3x - 4 evaluates to 11.

To find the algebraic expression for "4 less than the product of 3 and some number," let's break it down step by step.

First, let's define the unknown number as 'x.' Since the problem states "the product of 3 and some number," we can express this as 3 * x or simply 3x.

Next, we want to subtract 4 from this product. The phrase "4 less than" indicates subtraction, so we subtract 4 from 3x. This can be represented as 3x - 4.

In summary, the algebraic expression for "4 less than the product of 3 and some number" is 3x - 4, where 'x' represents the unknown number.

To calculate the value of this expression for a specific value of 'x,' you substitute that value into the expression and simplify. For example, if 'x' is 5, you would substitute 5 into the expression:

3(5) - 4

This simplifies to:

15 - 4 = 11

So, when 'x' is 5, the expression 3x - 4 evaluates to 11.

In general, the algebraic expression allows us to represent a mathematical relationship between quantities using symbols and operations. By substituting specific values into the expression, we can calculate the corresponding results.

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Note the complete question:

Algebraic expression for 4 less than the product of 3 and some number

What is the algebraic expression for "4 less than the product of 3 and some number?

Please help me understand the meaning of how to calculate.

Answer:

YXZ=AXZ

because if you see the letters they form triangle

Answer:

d=35

Step-by-step explanation:

Answer:

y = 3x - 11

Step-by-step explanation:

(3, -2) and (5, 4)

m = 4+2/5-3

m = 6/2

m = 3

y = 3x + b

4 = 3(5) + b

4 = 15 + b

b = -11

y = 3x - 11

ANSWER:    I can give you the steps to figure out this question.

1  if it is starting at the 6 on the y axis, then just do up 1 over 1 until you get to the 10

The answer to your question is..... 6y+1=4x+10

Answer:

3650

Step-by-step explanation:

Answer:

See below

Step-by-step explanation:

For the second step, \(\angle T\cong\angle R\) by Alternate Interior Angles. The rest of the steps appear to be correct.

Rounded to the nearest hundredth, the value of y at \(x = 7\) is approximately \(12.78\), according to the concept of linear regression line.

To find the linear regression line for the given data, we can use statistical software or a calculator. The equation of the linear regression line is of the form \(y = mx + b\), where m represents the slope and b represents the y-intercept.

Using the provided data, the linear regression line equation is:

\(\[ y = 1.3642x + 3.2324 \]\)

To find the value of \(y\) at \(x = 7\), we substitute \(x = 7\) into the equation:

\(\[ y = 1.3642(7) + 3.2324 \]\)

Simplifying the equation, we get:

\(\[ y = 9.5494 + 3.2324 \]\[ y = 12.7818 \]\)

In conclusion, the linear regression analysis allows us to determine the relationship between the variables x and y in the given data set. By finding the equation of the linear regression line, we can estimate the value of y for any given x. In this case, the linear regression line equation is \(y = 1.3642x + 3.2324\). By substituting \(x = 7\) into the equation, we find that the estimated value of y is approximately \(12.78\). This analysis provides a useful tool for predicting and understanding the relationship between variables, allowing us to make informed decisions and interpretations based on the data.

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