Mr. shaw graphs the function f(x) = –5x 2 for his class. the line contains the point (-2, 12). what is the point-slope form of the equation of the line he graphed? y – 12 = –5(x 2) y – 12 = 2(x 2) y 12 = 2(x – 2) y 12 = –5(x – 2)

10 and 15

add 2 and 3 together then divide 25 by that and then multiply that number by 2 and 3 to find both of the answers

Answer:

Below

Step-by-step explanation:

The solution set is just the point where the two graphed lines cross....this point is common to BOTH lines and thus is the solution (2,2)

The equivalent exponential expressions are 625 · 5ˣ and [tex]a^{4 + x}[/tex].

Exponents are a short way of representing repeated multiplication. The exponent, or power, indicates the number of times the base is multiplied by itself.

An exponent is a small number written to the right and above the base number, indicating how many times the base number should be multiplied by itself.

By the rule of exponents,

Here we have

Exponents 5⁴· 5ˣ  

We can rewrite the above expression as follows

Since 5⁴ = 625

=> 5⁴· 5ˣ  = 625 · 5ˣ

By using the Rules of exponents,

=> 5⁴ + 5ˣ =  [tex]a^{4 + x}[/tex]

Therefore,

The equivalent exponential expressions are 625 · 5ˣ and [tex]a^{4 + x}[/tex].

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Answer:

9*3+9*8 or 9*11

Distributive property

Answer:

99

Explanation

Combine any like terms on each side of the equation: x-terms with x-terms and constants with constants. Arrange the terms in the same order, usually x-term before constants. If all of the terms in the two expressions are identical, then the two expressions are equivalent.

1) Add the values 3 and 8 to get 11 ( 9*11 )

2) Multiply 9 x 11 = 99

A perpendicular line calculator online is a tool used to find the equation of a line that is perpendicular to a given line and passes through a given point.

A perpendicular line calculator online is a math tool used to find the equation of a line that is perpendicular to a given line and passes through a given point. To use this calculator, users input the slope and y-intercept of the given line, as well as the x- and y-coordinates of the given point.

The calculator then uses the formula for the slope of a perpendicular line to find the slope of the new line and calculates the y-intercept by plugging in the given point. This tool is useful in many applications, such as finding the equation of a perpendicular bisector, a perpendicular tangent line, or a perpendicular distance between two points.

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(a) There are 220 different boxed sets possible.

(b) here are 2184 different schedules possible for Rashid's vacation.

(a)

To calculate the number of different boxed sets possible, use the combination formula. In this case, choose 9 albums out of 12, and the order of the albums in the boxed set doesn't matter.

The number of combinations of n items taken r at a time is given by the formula:

C(n, r) = n! / (r! × (n - r)!)

In this case, to find C(12, 9):

C(12, 9) = 12! / (9! × (12 - 9)!)

C(12, 9) = 12! / (9! × 3!)

C(12, 9) = (12 × 11 × 10) / (3 × 2 × 1)

C(12, 9) = 220

(b)

To calculate the number of different schedules Rashid can make for his vacation, count the number of ways chosen 3 cities out of 14 for each day of the week.

For Monday, choose one city out of 14.

For Tuesday, choose one city out of the remaining 13 .

For Wednesday, choose one city out of the remaining 12 .

Total number of schedules = 14 × 13 × 12 = 2184

So, there are 220 different boxed sets possible and there are 2184 different schedules possible for Rashid's vacation.

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To convert temperatures in degrees Celsius to Fahrenheit, multiply by 1.8 (or 9/5) and add 32.

39.5 degrees Celsius is equal to 103.1 degrees Fahrenheit.

Temperatures, across the worlequal td, are measured either in Fahrenheit(the US temperature scale) or Celsius(the metric scale), two of the most popular and widely used scales.Temperature Conversion – Degrees Celsius into Degrees Fahrenheit.

Celsius to Fahrenheit conversion formula is all about converting the temperature denoting in Celsius to Fahrenheit. As mentioned earlier, the temperature of boiling (hot) water in Celsius is 0 degrees and in Fahrenheit is 21 degrees, the formula to convert C to F is

F = C x (9/5) + 32To convert 39.5 degrees Celsius to Fahrenheit, you can use the formula:

°F = (°C × 9/5) + 32

Substituting 39.5 for °C, we get:

°F = (39.5 × 9/5) + 32

°F = (71.1) + 32

°F = 103.1

Therefore, 39.5 degrees Celsius is equal to 103.1 degrees Fahrenheit.

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Answer:

100

Step-by-step explanation:

Answer:

J is 90° while H is 180°

Answer:

5n+32a=5

Step-by-step explanation:

.

Answer:

f(x) = 4x + 4

Step-by-step explanation:

See picture below :)

So the two ordered pairs that have a ratio of -4/3 are (-4, 3) and (4, -3).

where x and y are the first and second numbers in the ordered pair, respectively.

Checking each of the four given ordered pairs, we can see which ones satisfy this equation:

(-3, 4): -3/4 ≠ -4/3

(-4, 3): -4/3 = -4/3

(4, -3): 4/-3 = -4/3

(3, -4): 3/-4 ≠ -4/3

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The required statements and reasons to complete the two column proof are explained below.

When on  comparison the corresponding length of sides of two triangles have some common properties, then they are said to be similar. Though similarity does not imply congruency.

The complete two column proof is shown as thus:

      STATEMENT               REASON

1. FG/FH = KJ/KH              Given

2. <H ≅ <H                        Reflexive property

3. ΔFHK ~ ΔGHJ               Two pairs of corresponding sides are proportional

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On converting 159 lbs to Kg , we get 159 pounds is equivalent to 72.1211 Kilogram .

The various units that are used to measure the weight of an object , some of them are : Kilogram (Kg) , Pounds (lb) , Gram (gm) .

We have to convert 159 lbs to Kilogram ;

We know that , 1 pound is equal to 0.453592 Kg ;

So , the conversion factor is 0.45359237 kg per pound.

For the conversion , we multiply the given weight by this conversion factor ,

We get ;

⇒ 159 lbs × 0.45359237 kg/lb = 72.1211 Kg ;

Therefore, 159 pounds is equal to 72.1211 Kilograms .

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The amount of curry that would be needed is 1/2

Margerite would need 3 * 4 / 5 to make the batches of cookies

8. If Harry is doubling the recipe and the recipe is originally said to be 2/8 of curry we would have

2 * 2/8

= 4/8

= 1/2

9. If one batch of chocolate chips is made with 4/5 cups of chips

In order to make 3 batches, Margerite would have to use 3 * 4 / 5

= 12 / 5

Option C is correct

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An irrational number of the numbers are,

⇒ √150

A number which can be written in the form of fraction p / q , where q is non zero, are called Rational numbers.

Given that;

All the numbers are,

A) √121

B) √150

C) √400

D) √1,000,000

Now, We can simplify as;

A) √121 = 11

Hence, It is a rational number.

B) √150 = 12.2474..

Hence, It is a irrational number.

C) √400 = 20

Hence, It is a rational number.

D) √1,000,000 = 1,000

Hence, It is a rational number.

Thus, An irrational number of the numbers are,

⇒ √150

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c) The experimental probability that you flip 3 heads is,

d) The experimental probability that you flip 3 tails is,

e) There are 12 times to flip 3 tails out of 200 trials of flipping 3 coins.

The term probability refers to the likelihood of an event occurring. Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one

Given that;

You flip 3 coins 50 times.

And, Flipping 3 tails occurs 6 times and flipping 3 heads occurs 7 times.

Hence, The experimental probability that you flip 3 heads is,

⇒ 7 / 50

And, The experimental probability that you flip 3 tails is,

⇒ 6 / 50

And, Number of times to flip 3 tails out of 200 trials of flipping 3 coins is, x

Hence, We can formulate;

x = 3/25 × 200

x = 3 × 4

x = 12

Thus, There are 12 times to flip 3 tails out of 200 trials of flipping 3 coins.

Therefore, we get;

c) The experimental probability that you flip 3 heads is,

d) The experimental probability that you flip 3 tails is,

e) There are 12 times to flip 3 tails out of 200 trials of flipping 3 coins.

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5 meters is equal to 16.4042 feet.

The metre to foot formula is a mathematical expression that converts length measurements from metres to feet.

Metre is the SI unit of measurement for both length and distance.

The meter is denoted by "m".

It is denoted by the letter "ft."

To convert 5 meters (m) to feet,

Multiply the given value meters by 3.28084,

As we know that,

One meter is nearly equal to 3.28084 feet.

Therefore,

5 meters multiplied by 3.28084 gives us:

5 meters x 3.28084 = 16.4042 feet

(rounded to four decimal places)

So, 5 meters is nearly equal to 16.4042 feet.

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Let's represent the area of the lawn with "x" (in square meters).

Maria charged $135 plus $9.55 per square meter, so her total earnings can be expressed as:

Total earnings = $135 + $9.55 x

We know that Maria was paid $1854, so we can set up an equation and solve for x:

$1854 = $135 + $9.55 x

Subtracting $135 from both sides:

$1719 = $9.55 x

Dividing both sides by $9.55:

x = 180

Therefore, the area of the lawn is 180 square meters.

Variance in statistics is the squared difference between a random variable's expected value and its mean value.

Data points' variance from the mean is a measure of how they vary. A variance, according to Layman, is a measurement of how widely apart a set of data (numbers) are from their mean (average) value.

Finding the expected difference of deviation from the actual number is what is meant by variance. As a result, variance is influenced by the data set's standard deviation.

Data is more dispersed from its mean the higher the variance value, and less dispersed from mean if the variance value is low or minimal. As a result, it is referred to as a measure of data spread from mean.

[tex]Var(X) = E[(X-\mu)^2][/tex]  

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The basic parts of a circle are the circumference, diameter, radius, and center. The circumference is the outer boundary of the circle, and it is the distance around the circle.

The diameter is a line segment that passes through the center of the circle and connects two points on the circumference. The radius is a line segment that connects the center of the circle to a point on the circumference.

The center is the point in the middle of the circle, and it is equidistant from all points on the circumference. These four basic parts are essential to understanding the properties of circles, such as their area, circumference, and relationships between different parts.

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The length opposite the angle is the vertical distance from the x-axis on the graph. Because sin (π/3) = opposite/hypotenuse = opposite/1;

Unit circle is a circle centered at the origin, (0,0) with radius(r) i.,e r= 1.

Here, The angle π/3 forms an arc of length S and the x-axis and y-axis divide the coordinate plane and the unit circle as it is centered at (0.0).

Also, the terminal side intersect the circle at (x, y). Thus;

sin (π/3) = opposite/hypotenuse = opposite/1

Thus, we get;

sin (π/3) = opposite

Also, the length opposite the angle is the vertical distance from the x-axis on the graph.

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Answer: A on edge

Step-by-step explanation:

To calculate the standard deviation of the sampling distribution of p-hat, the answer will be 59 students.

By calculating,

600/10=60 and 59 students which is less than 10% of the population.

A sampling distribution, also known as a finite-sample distribution, in statistics is the probability distribution of a given random-sample-based statistic. The sampling distribution is the probability distribution of the values that the statistic takes on if an arbitrarily large number of samples, each involving multiple observations (data points), were used separately to compute one value of a statistic (such as, for example, the sample mean or sample variance) for each sample. Although only one sample is frequently observed, the theoretical sampling distribution can be determined.

Because they offer a significant simplification before drawing conclusions using statistics, sampling distributions are crucial in the field. They enable analytical decisions to be made based on the probability distribution of a statistic rather than the combined probability distribution of all the individual sample values

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The corresponding parts are as follows;

Angle ATS = Angle ABC

side AS = side AC

Angle SAT = Angle CAB

Angle AST = Angle ACB

Side AT = Side AB

ΔABC ~  ΔDEF  only if ratio of two sides of ΔABC and corresponding two sides of ΔDEF is equal and the angle included in both sides are congruent.

Suppose the two sides of ΔABC are AB and BC, and that of DEF be DE and EF.

For two similar figures, the pair by pair similar angles of those two similar figures are called corresponding angles. They are of same measurement.

We are given the similar triangles as;

ΔACB =  ΔAST

Angle ATS = Angle ABC

side AS = side AC

Angle SAT = Angle CAB

Angle AST = Angle ACB

Side AT = Side AB

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Answer:

The slope of a parallel line are equal,and the slope of perpendicular line are opposite reciprocals

Answer:

You can drink it thank u for asking

Answer: 50.27

Step-by-step explanation:

AB=πr2=π·42≈50.26548

The length of arc FGE is given as follows:

230º.

The angle addition postulate states that if two angles share a common vertex and a common angle, forming a combination, the larger angle will be given by the sum of the smaller angles.

The entire circumference has an angle measure of 360º, while the arc EH has an angle measure of 130º, hence the length of arc FGE is obtained as follows:

x + 130 = 360

x = 360 - 130

x = 230º.

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The value of length 8inch into cm is 20.32 cm.

8inch can be converted into centimeters (cm) using the conversion factor of 1 inch equals 2.54 centimeters.  it's essential to use the appropriate conversion factor and ensure that the units cancel out correctly to arrive at the desired result.

Since 8 is a unit of inches, we can simply multiply 8 by the conversion factor of 2.54 cm/inch to get the equivalent measurement in centimeters.

So, the conversion can be done as follows:

8 inches x 2.54 cm/inch = 20.32 cm

Therefore, 8 inches is equal to 20.32 centimeters.

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_____The given question is incomplete, the complete question is given below:

How to convert 8 inches into cm.

The child is most likely operating at visualization level of van hiele's. The solution has been obtained by using the Van Hiele model.

What is Van Hiele model?

The van Hiele theory explains how children pick up geometry. It makes the claim that there are five different degrees of geometric thinking: visualisation, analysis, abstraction, formal deduction, and rigour. Every level has a unique lingo and set of symbols. The levels are progressed through "step by step" by the students.

We are given that a child tells that square has 4 sides and 4 angles by seeing the quadrilateral.

From this, we get that the child is operating at the visualization level of van hiele's because by looking at a figure he tells the number of sides and angles.

Hence, the child is most likely operating at visualization level of van hiele's.

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