write an equivalent expression to 9- 13/4m + 1/4m

what is the rule for

8 units to the left, 2 units up

the rule is

the rule 6 units to the right , 4 units down

the rule is

Remember that

if the translation is at right is x+

if the translation is at left is x-

if the translation is up y+

if the translation is down is y-

The rule for the reflection across the x-axis is equal to

Find the coordinates of triangle JKL

looking at the graph

J(-4,2)

K(2,5)

L(8,4)

Apply the rule

J(-4,2) ------- J'(-4,-2)

K(2,5) -------- K'(2,-5)

L(8,4) -------> L(8,-4)

Part c

Triangle JKL and triangle J'K'L' are congruent

Answer:

B only

Step-by-step explanation:

Triangles A and C are similar, but not congruent to each other. Similar triangles have proportional sides and congruent angles, while congruent triangles have congruent sides and congruent angles.

Therefore, only B is correct

The question is asking for pairs of congruent triangles but lacks key information needed to accurately answer this, such as lengths or angles. Congruent triangles are identified in geometry based on either side-lengths or angles.

The question is about congruent triangles, which in mathematics means triangles that have the same size and shape. But to accurately answer which pairs show two congruent triangles, we need more information. The options provided include 'A', 'B', and 'C' but without knowing more about these elements (for example their lengths or angles), it is impossible to determine which are congruent. Congruent triangles are identified in geometry based on either side lengths (SSS: Side-Side-Side, SAS: Side-Angle-Side, ASA: Angle-Side-Angle) or angles (AAS: Angle-Angle-Side, HL: Hypotenuse-Leg for right triangles). Without this vital information, we cannot definitively answer the question. Be sure to verify all the properties required to prove two triangles congruent.

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Answer:

18x^2 - 40x / 3

The measure of the angles in triangle ARST are: 28 degrees, 28 degrees, 124 degrees, 124 degrees. The measure of the angles in triangle ANSP are: 28 degrees, 51 degrees, 101 degrees, 129 degrees.

An angle is a geοmetric figure fοrmed by twο rays οr lines with a cοmmοn endpοint, called the vertex. Angles are typically measured in degrees οr radians and are used tο describe the amοunt οf turn οr rοtatiοn between twο intersecting lines οr οbjects. Angles can be acute (less than 90 degrees), right (exactly 90 degrees), οbtuse (greater than 90 degrees), straight (exactly 180 degrees), οr reflex (greater than 180 degrees).

Here,

To find the measure of the angles in each triangle, we need to solve for the value of x in both equations.

For the first equation, we can simplify it as follows:

x + 14 = 2x

Subtracting x from both sides, we get:

14 = x

For the second equation, we can simplify it as follows:

3x + 9 = 2x + 23

Subtracting 2x and 9 from both sides, we get:

x = 14

Now that we know x = 14, we can find the measure of the angles in each triangle.

In triangle ARST, we have:

angle A = x + 14

= 14 + 14

= 28 degrees

angle R = 2x

= 2(14)

= 28 degrees

angle S = 180 - (angle A + angle R)

= 180 - (28 + 28)

= 124 degrees

angle T = 180 - (angle A + angle R)

= 180 - (28 + 28)

= 124 degrees

In triangle ANSP, we have:

angle A = x + 14

= 14 + 14

= 28 degrees

angle N = 3x + 9

= 3(14) + 9

= 51 degrees

angle S = 180 - (angle A + angle N)

= 180 - (28 + 51)

= 101 degrees

angle P = 180 - (angle N)

= 180 - 51 = 129 degrees

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Answer: n = 2401

Step-by-step explanation:

Given;

Confidence level = 2% - 99%

n = ? ( which is the sample size is unknown ).

Solution:

Where;

n = [z/E]^2*pq

Since no known value for ( p ) estimate is given, the "least biased" estimate is p = 1/2

Substituting the given data into the formula.

n = [1.96/0.02]^2(1/2)(1/2)

n = 2401

The minimum number of truck drivers the statistician needs to sample for an accurate result is 2401

Answer:

13

Step-by-step explanation:

pythagorean theorm calculator

enter the values for each leg

Answer:

The next three natural numbers after 10999 are 11000,11001, and 11002.

Step-by-step explanation:

Write first natural number after 10999:

10999 + 1 = 11000

Write second natural number after 11000:

11000 + 1 = 11001

Write the third natural number after 11001:

11001 + 1 = 11002

Hence, the next three natural numbers after 10999 are 11000, 11001, and 11002.

Answer:

z=2

Step-by-step explanation:

We are given that a line has a slope of 3.

The line passes through the points (-10, z) and (-8, 8)

We want to find the value of z.

To do that, we can calculate the slope.

The slope can be calculated using the formula \(\frac{y_2-y_1}{x_2-x_1}\), where \((x_1, y_1)\) and \((x_2, y_2)\) are points

Even though we already have 2 points, let's label their values to avoid any confusion.

\(x_1=-10\\y_1=z\\x_2=-8\\y_2=8\)

Now substitute those values into the formula, and set it equal to 3. Remember that the formula uses subtraction.

\(\frac{8-z}{-8--10}\) = 3

We can simplify this first.

\(\frac{8-z}{-8+10}\) = 3

\(\frac{8-z}{2}\) = 3

We can multiply both sides by 2 to clear the fraction and make it easier to calculate.

2(\(\frac{8-z}{2}\))  = 2(3)

Multiply.

8 - z = 6

Subtract 8 from both sides

-z = - 2

Multiply both sides by -1.

-1(-z) = -1(-2)

Multiply.

z = 2

D 231 = 46w can be used to solve for w, the number of white eggs used last week.

The surface area of a cell phone screen is 117 cm².

What is unit conversion?

Unit conversion is the process of converting a quantity expressed in one unit of measurement to an equivalent quantity expressed in another unit of measurement.

We can convert mm² to cm² by dividing the area in mm² by the square of the conversion factor, which is (10 mm / 1 cm) = 100 mm² / cm². Therefore, we have:

11700 mm² / (100 mm² / cm²) = 117 cm²

Rounding to the nearest whole number, we get 117 cm².

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Answer:

I guess answer is 3 as n value is 1 so we can substitute 1 in n value so that we can get answer as 3

Hi there!  

»»————-　★　————-««

I believe your answer is:  

"Isolate the variable  using inverse operations."

»»————-　★　————-««  

Here’s why:

To solve for a variable, we would have to isolate it on one side.

To isolate it, we would use inverse operations on both sides on the equation until the variable is isolated.

There are no like terms in the given equation.

⸻⸻⸻⸻

\(\boxed{\text{Solving for 'z'...}}\\\\\frac{z}{6} = 36\\-------------\\\rightarrow (\frac{z}{6})6 = (36)6\\\\\rightarrow \boxed{z = 216}\)

⸻⸻⸻⸻

»»————-　★　————-««  

Hope this helps you. I apologize if it’s incorrect.  

Answer:

First option: Isolate the variable using inverse operations

Step-by-step explanation:

z/6 = 36

Since we already have the equation set up and cannot simplify any further, we must try to isolate the variable, z, by using inverse operations.

The inverse operation of division is multiplication, so to isolate z, we multiply 6 on each side:

z/6 · 6 = 36 · 6

z = 216

The image of the stem-and-leaf plots is in the attachment.

Answer: (a) 31 years; (b) 59 years; (c) 56 years

Step-by-step explanation: Steam and leaf is a table that shows the digits of the data value split into a "stem", which represents the first digit, and a "leaf", which is the last digit.

For example, the first row of the table in the attachment, indicate a "stem" 2 and the first number of a "leaf" is 1, so the actress has 21 years.

(a) According to the table, the youngest actor to win an Oscar has a "stem" 3 and the first "leaf" from the right is 1, so the actor has 31 years.

(b) The oldest actress is 80 and the youngest is 21, so difference is:

80 - 21 = 59

The difference is 59 years.

(c) The oldest age shared by 2 actors is 56 years.

Answer:

z > -4/5

Step-by-step explanation:

-9 - (2z - 7) > -2z - 6 - 5z

Get rid of the parenthesis

-9 - 2z + 7 > -2z - 6 - 5z

Combine like terms:

       -2 - 2z > -7z - 6

       +2       >       +2

Add 2 to both sides.

 -2z > -7z - 4

 +7z > +7z

Add 7 to both sides.

5z > -4

Divide both sides by 5 to get z.

z > -4/5

---------------------------------

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Answer:

\(x = \frac{5}{3}\)

Step-by-step explanation:

The expression under the square root is \(\sqrt{4x^2 - 20x + 25}\)

This is equivalent of \((2x-5)^2\)

We can check this by using the formula
\((a+b)^2 = a^2 + 2ab + b^2\)

where \(\\a = 2x so a^2 = (2x)^2 = 4x^2\\\\b = -5 so b^2 = (-5)^2 = 25\\\\2ab = (2)(2x)(-5) = -20x\\\)

So

\(\sqrt{4x^2 - 20x + 25} = \sqrt{(2x-5)^2}\) which is \((2x-5)\)

(The square root of the square of an expression is the expression itself)

So that gives us

\(2x - 5 = 5-2x\\\)

Collecting like terms on each side gives us

\(2x + 2x = 5 -(-5)\\\\4x = 10\\\\x = 10/4 = 5/3\)

Answer:

Step-by-step explanation:

1) (x) is economy class and (y) is first class

2) The objective function is to avoid making a loss in prophet making the train have the avalibility  for 10 economy class passengers and at least 20 first class passengers.

3) The constraints are that there are only 10 spots for economy class and at least 20 for first-class passengers.

The true statement for the function p(x) is p(-2) and p(0) cannot be compared as p(0) is undefined. Option D is correct.

The given function is a logarithmic function and it is undefined at x = 0.

First, let us understand the logarithmic function:

A logarithmic function is a function of the form which is read as “ y equals the log of x, base b” or “ y equals the log, base b, of x.” In both forms, x > 0 and b > 0, b ≠ 1.

We are given:

p(x) = log 5x

substitute x = 0 in the above equation, we will get;

p(0) = log 5 × 0

p(0) = log 0

p(0) = undefined

Thus, the true statement for the function p(x) is p(-2) and p(0) cannot be compared because p(0) is undefined. Option D is correct.

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Using the equation of the function p(x) below, determine which of the statements below is true. Show your work.

Captionless Image

p(-2) > p(0)

p(-2) < p(0)

p(-2) and p(0) cannot be compared because p(-2) is undefined.

p(-2) and p(0) cannot be compared because p(0) is undefined.

The Solution:

Given the graph below:

We are required to find the possible equation for the exponential function represented by the given graph.

The required exponential function can be obtained by the formula below:

Apply the initial values indicated in the given graph.

That is, (0,60), this means when x = 0, y = 60

Substituting these values in the formula above, we get

Similarly,

(2,15), this means when x = 2, y = 15

Substituting these values in the formula, we have

Dividing both sides by 60, we get

Taking the square root of both sides, we get

So, the exponential function is:

Therefore, the correct answer is [option 1]

Answer:d=18FT

Step-by-step explanation:

YOUR WELCOM :)

Answer:

6

Step-by-step explanation:

5+\(2^{3}\)/4-2

\(2^{3}\) = 2 x 2 x 2 (12)

5+ 12 / 4-2

5 + 3 - 2

6

Answer:

6.5 or 13/2

Step-by-step explanation:

\( \frac{5 + {2}^3{} }{4 - 2} \)

First find what 2^3 power is.

\( \frac{5 + 8}{4 - 2} \)

Then, just add the top and bottom

\( \frac{13}{2} \)

This in decimal form is 6.5

The completed sequence is: 3/k, 3/k, 3/k, 9/2k.To complete the sequence of numbers with a constant difference between adjacent numbers, we can calculate the common difference by subtracting the first term from the second term.

Let's denote the missing terms as A and B.

The given sequence is: 3/k, A, B, 9/2k.

The common difference can be found by subtracting 3/k from A or B. Therefore:

A - 3/k = B - A = 9/2k - B.

To simplify, we can equate the two expressions for the                     common difference:

A - 3/k = 9/2k - B.

Next, we can solve for A and B using this equation.

Adding 3/k to both sides gives:

A = 3/k + 9/2k - B.

Now, we can substitute the value of A into the equation:

3/k + 9/2k - B - 3/k = 9/2k - B.

Simplifying further, we have:

9/2k - 3/k = 9/2k - B.

Cancelling out the common terms, we find:

-3/k = -B.

Multiplying both sides by -1, we get:

3/k = B.

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Warren should choose Forno Automotive for 12,000 miles, Midtown Motors for 15,000 miles, and Hopkins Automotive for 18,000 miles per year. A payoff table shows the lease cost and total miles for each dealer. If Warren drives 41,400 miles, he should choose Midtown Motors. Even if he drives 45,000 miles, he should still choose Midtown Motors.

a. The decision for 12000 miles per year, Warren will choose Forno Automotive of Lease cost $10764.

The decision for 15000 miles per year, Warren will choose Midtown Motors of Lease cost $11160.

The decision for 12000 miles per year, Warren will choose Hopkins Automative of Lease cost $11700.

b. A Payoff Table :

Dealer / Miles per year 12000 15000 18000

Total miles for 3 years 36000 45000 54000

Forno Automotive   $10764 12114 $13464

Midtown Motors      $11160 $11160 $12960

Hopkins Automotive $11700 11700 $11700

c. Suppose that the probabilities that Warren drives 12,000, 15,000 and 18,000 miles per year are 0.5, 0.4 and 0.1, then the total miles drive for 3 years are : 12000*0.5 + 15000*0.4 + 18000*0.1 = 41400 miles. In this case, Warren should choose Midtown dealer, as Forno's lease cost is =$(10764+5400*0.15) = $11574 & Midtown's lease cost is = $11160

d. Suppose that the probabilities that Warren drives 12,000, 15,000 and 18,000 miles per year are 0.3, 0.4 and 0.3, then the total miles drive for 3 years are : 12000*0.3 + 15000*0.4 + 18000*0.3 = 45000 miles. In this case, Warren should still choose Midtown dealer,  Midtown's lease cost is = $11160 and Hopkins lease cost is $11700.

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Answer:

liner increasing

Step-by-step explanation:

Answer:

the equation is 140÷42 and the answer is 4

Answer:

P(5,6) = 63

Step-by-step explanation:

Test each point to see which ordered pair maximizes the objective function:

(0,0): p = 3(0) + 8(0) = 0

(2,7): p = 3(2) + 8(7) = 6 + 56 = 62

(5,6): p = 3(5) + 8(6) = 15 + 48 = 63

(8,1): p = 3(8) + 8(1) = 24 + 8 = 32

Hence, (5,6) is the ordered pair that maximizes the objective function.

1) The probabilities are given as follows:

a) More than 75: 0.0301 = 3.01%.

b) Between 60 and 73: 0.4484 = 44.84%.

c) Less than 50: 0.1057 = 10.57%.

2) The proportion of students who fail the module is of: 0.0062 = 0.62%.

3) The measures are given as follows:

The z-score of a measure X of a variable that has mean symbolized by \(\mu\) and standard deviation symbolized by \(\sigma\) is obtained by the rule presented as follows:

\(Z = \frac{X - \mu}{\sigma}\)

The mean and the standard deviation in this problem are given as follows:

\(\mu = 60, \sigma = 8\)

The probability that an score is more then 75 is one subtracted by the p-value of Z when X = 75, hence:

Z = (75 - 60)/8

Z = 1.88

Z = 1.88 has a p-value of 0.9699.

1 - 0.9699 = 0.0301 = 3.01%.

The probability of an score between 60 and 73 is the p-valeu of Z when X = 73 subtracted by the p-value of Z when X = 60, hence:

Z = (73 - 60)/8

Z = 1.63

Z = 1.63 has a p-value of 0.9484.

Z = (60 - 60)/8

Z = 0

Z = 0 has a p-value of 0.5.

Then:

0.9484 - 0.5 = 0.4484 = 44.84%.

The probability of an score less than 50 is the p-value of Z when X = 50, hence:

Z = (50 - 60)/8

Z = -1.25

Z = -1.25 has a p-value of 0.1057.

The proportion who might fail the test is the p-value of Z when X = 40, hence:

Z = (40 - 60)/8

Z = -2.5

Z = -2.5 has a p-value of 0.0062.

Then the statistical measures are obtained as follows:

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Answer:

Kindly check explanation

Step-by-step explanation:

A deck of card:

Number of hearts = 13

Diamond = 13

Spade = 13

Club = 13

Each of heart, club diamond and spade has is numbered from (2,3,4,5,6,7,8,9,10,Ace, queen, Jack, king)

Hence, a club, diamond, spade and heart has one of each of the above numbers.

a. List the sample points in the event a jack is selected.

Jack : ( heart, club, diamond, spade)

B.) club is selected :

Cub : (Ace, 2, 3,4,5,6,7,8,9,10,king,queen,jack)

C)

Jack : ( heart, club, diamond, spade)

Queen : (heart, club, diamond, spade)

King : (heart, club, diamond, spade)

D) probability = required outcome / Total possible outcomes

P(jack selected) = 4 /52 = 1/13

P(club selected). = 13/52 = 1/4

P(face card selected) = 12 / 52 = 3/13

answer

the mean is 73, rounded to the nearest tenth would be 70

the median is 75

the mode is 75

the range is 10

Step-by-step explanation:

ok so the mean is basically the same thing as the average. the average is 73. we know this bc the average or mean is all the numbers added together and dived by the number of numbers (in this case 5) the median is the middle number of a group of mumbers after they are in order of least to greatest.

the mode is the value that appears most often,

and the range is bacucall the largest number minus the smallest number

hope this helped;)