1) Drag and drop the numbers to place them in increasing order.

-1.6
0.6
- 1/6
3/7

2) Drag and drop the numbers to place them in increasing order.
-1.3
1.4
-0.6
0.7

Camelle should buy a total of 4y practice jerseys for the team

From the question, the given parameters are:

Number of players in the team = y players

Number of practice jersey for each player = 4 practice jerseys for each player

The total number of practice jerseys is the product of the number of players in the team and the number of practice jersey for each player

This is represented as

Total number of practice jerseys = Number of players in the team x Number of practice jersey for each player

Substitute the known values in the above equation

So, we have the following equation

Total number of practice jerseys = y players x 4 practice jerseys for each player

Evaluate the products

Total number of practice jerseys = y x 4 practice jerseys

This gives

Total number of practice jerseys = 4y practice jerseys

Hence, the number of jerseys is 4y

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Step-by-step explanation:

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From a tee box that is 6 yards above the ground, a golfer hit a ball. The Domain of the function is [0,230].

Given that,

In the picture there is a question with a graph.

From a tee box that is 6 yards above the ground, a golfer hit a ball. The graph displays the height of the golf ball above the ground in yards as a quadratic function of x, the golf ball's horizontal distance from the box in yards.

We have to find the domain of the function in the situation.

The domain is nothing but All of a function's x-values, or inputs, make up the domain, and all of a function's y-values, or outputs, make up the range.

The domain of a graph is every value in the graph, from left to right. The graph's entire range, from lower to higher numbers, represents the range.

Therefore, the Domain of the function is [0,230].

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The linear equation representing this situation will be y = 4x, where y is the dependent variable and x is the independent variable.

As per the question statement, it is given that the perimeter of a square is equal to four times the length of its side and we are supposed to write the direct variation equation that represents this situation.

Also given that we have to use "y" and "x" which are dependent and independent variables respectively.

Perimeter = 4*side

So we conclude that perimeter is dependent on the independent value of side of the square.

Therefore, y = 4x would be the appropriate linear equation depicting the situation given.

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Answer:

10p

Explanation:

We are told that the photography club charges $10 for each photo; therefore, if we have p number of photos then the total amount charged will be 10 * p = 10p

is 10% greater than or less than 1/8​ ?

Convert both of the given to decimals

So, 10% = 10/100 = 0.1

And 1/8 = 0.125

so, 10% is less than 1/8

The image of the function after vertically stretched by a factor of 3 is f'(x) = 3|x + 1| - 3

From the question, the given parameters are:

f(x) = |x + 1| - 1

The transformation is given as

Vertical stretch by a factor of 3

This implies that we stretch the function f(x) by a factor of 3 across the origin

Mathematically, this transformation can be represented as

(x, y) = (x, 3y)

When represented as a function, we have

f'(x) = 3 * f(x)

Substitute the equation f(x) = |x + 1| - 1 in the equation f'(x) = 3 * f(x)

So, we have the following equation

f'(x) = 3 * (|x + 1| - 1)

Remove the bracket

So, we have

f'(x) = 3 * |x + 1| - 3 * 1

Evaluate the products

So, we have

f'(x) = 3|x + 1| - 3

Hence, the equation of f'(x) is f'(x) = 3|x + 1| - 3

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Answer:

The expressions that represent the dimensions of the rectangle are:

(x+3) and (x+7)

Explanation:

The area of the said rectangle is

To find an expression that represents the dimensions of the rectangle, we need to factorize the expression for the area.

Therefore, the expressions we are looking for are

(x+3) and (x+7)

Let's name the a, b, c

let side a = x

let side b = 4+x

Let side c = hypotenuse = 20

Using the law of pythagoras

opposite² + adjacent² = hypotenus²

x² + (x+4)² = 20²

open the parenthesis

x² + x² + 4x +16 = 400

2x² + 4x + 16 = 400

2x² + 4x + 16 - 400 = 0

2x² + 4x - 384 = 0 --------------------------------(1)

The is now a quadratic equation

so we will solve and find x

Using the formula method

Quadratic formula is

Comparing equation (1) with ax² + bx + c = 0

a = 2 b = 4 and c= -384

Inserting the values into the formula

simplifying the above

Explanation:

The question asked for

Concept:

2 times 2 means the addition of 2 in 2 places

The time table is given below as

Hence,

The final answer is

Answer:

[tex]5n+10d=455[/tex]

Step-by-step explanation:

Multiply both sides of the equation by 100.

2 cubed means that you have to make the axponent of 2 by 3, symbolically:

The square root of x can be symbolized:

If both terms are equal then you can put them together as:

This is the expression that sumbolizes the phrase.

The domain of a function is the set of all posible values that its input can take.

To find it, we should analyze the rule of correspondence of the function to see if it includes restrictions over the variable that works as input. In this case, we can see that x appears inside a square root. The expression inside the square root must be greater or equal to 0. Then:

The domain of f is the set of all real numbers x such that:

In interval notation:

Therefore, the domain of the function is:

we have, in

then 461.19 represents the yearly increase in value

answer: the first one, yearly increase in value

Given:

Answer: The Answer is  7:2

Step-by-step explanation:

is 7:2

The maximum profit will be $2,700.

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The profit on a trick ski is $50 and the profit on a slalom ski is $30.

Let the number of Trick ski manufactured = x

And, Number of slalom ski manufactured = y

So, Maximize;

P = 50x + 30y

Subject to we get;

6x + 4y ≤ 108

And, x + y ≤ 24

And, xy ≤ 0

Now, We have to find set of feasible solutions graphically for the number of each type of ski that can be produced.

So, Linear equation in slope form;

6x + 4y = 108

y = -1.5x + 27

And, x + y = 24

y = - x + 24

So, By the graph we get;

The points,

(x , y) = (0, 24) , (6 , 18) (18, 0)

Hence, The maximum profit when 6 trick ski and 18 slalom ski manufactured.

maximum profit = 6 x 50 + 18 x 30 = 840

And, The maximum profit when 18 trick ski and 0 slalom ski manufactured.

maximum profit = 18 x 50 = 900

The maximum profit when 0 trick ski and 24 slalom ski manufactured.

maximum profit = 24 x 40 = 960

Thus, The maximum profit = 840 + 900 + 960

                                         = $2,700

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To complete the second table, you need to divide all cells in the first table by 41. obtaining:

(1) √15 is an irrational number.

(2) The point graphed on the number line is estimated.

Any number that cannot be stated as a fraction of any integer is considered to be irrational. The decimal expansions of irrational numbers are neither periodic nor do they come to an end. Every number that is transcendental is illogical.

When multiplied by itself, the square root of 15 produces the original integer 15. The square root of 15 is an irrational number since it cannot be expressed in the form of p/q.

Therefore, √15 is an irrational number.

The value of √15 in decimal is 3.87298334621 and hence, the point graphed on the number line is estimated but not an exact answer.

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One possible length of the third side of the given triangle is 15

From the question, we are to determine a possible length of the third side of the triangle

From one of the properties of a triangle, we know that

The sum of any two sides of a triangle is greater than the third side and the positive difference of any two sides of a triangle is lesser than the third side.

Thus,

8 + 17 is greater than the third side

25 is greater than the third side

and

17 - 8 is lesser than the third side

9 is lesser than the third side

If the third side of the triangle is x,
Then,

9 < x < 25

Hence, a possible value of x is 15

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We are meant to graph the function

f(x)=3/2x − 4.

PART A.

The data in the table shows a POSITIVE CORRELATION , an increase in variable x is associated with an increase in the variable y.

PART B

In order to find the distance between the given points, use the following formula:

where (x1,y1) and (x2,y2) are the given points,

In this case, you have:

(x1,y1) = (1 , 4)

(x2,y2) = (7 , 12)

By replacing the previous values into the formula for d, you obtain:

Hence, the distance between the given points is 10

Let the number of ice-cream serving the sisters can buy be "s".

Each serving is $2.80, so the cost of "s" ice-creams will be:

This cost cannot exceed 10 dollars.

10 dollars is the maximum.

So, we can say that "2.80s" is equal to or less than 10.

We write it in inequality notation:

Solving for "s":

So, the logical solution is that the 5 sisters can buy 3 ice-cream servings with their budget.

A new energy drink advertises 120 calories for 5 oz.

How many calories are in 15 oz?

We can set up a proportion to solve this problem

Where x is the number of calories in 15 oz

Let us solve the above equation for x

Therefore, there are 360 calories in 15 oz of drink.

Answer:

Explanation:

We want to get the value of x on the interval for which the identity holds true

We have this as follows:

Answer:

6.2

Step-by-step explanation:

i got this answer by guessing, srry.

Given the following, (a) 100 (a) 0 (b) 0.1587 (c) 10233 (d) 8.322 (e) 0.0096

The ratio of variance to mean in a sample in n counts from a distribution with a Poisson coefficient ought to correspond to a Chi-square population with n-1 angles of freedom. This test depends on the fact that the mean and variance of the Poisson distribution are identical.

a)

Here for Poisson distribution

Here mean of distribution=μ=λ= 10000

Variance =σ2=λ=   10000  

Standard deviation σ=√λ= 100.000  

Considering that λ is big, we can approximate:

a)

Probability of more than 20000 hits in a day:

Probability =P(X>20000)=P(Z>(20000-10000)/100)=P(Z>100)=1-P(Z<100)=1-1=0

if using ti-84 press -2nd -vars - command :normal cdf(20000,1 2nd EE 99,10000,100)

b)

P(less than 9900 hits):

Probability =P(X<9900)=(Z<(9900-10000)/100)=P(Z<(-1)=0.1587

If using ti-84  press 2nd -vars - command :normalcdf(-1 2nd EE 99,9900,10000,100)  

c)

For top 0.01 or  99th percentile critical value of z=2.33  

Therefore corresponding value=mean+z*std deviation=10233

If using ti-84: press 2nd-vars-invNorm(0.99,10000,100)

d)

Probability of exceeding 10200:

Probability =P(X>10200)=P(Z>(10200-10000)/100)=P(Z>2)=1-P(Z<2)=1-0.9772=0.0228

Therefore expected number of days that exceed 10200 hits =np=365*0.0228=8.322

e)

Mean of distribution=μ=np= 8.3220  

and standard deviation σ=sqrt(np(1-p))= 2.8517  

For normal distribution z score =(X-μ)/σx  

P(more than 15 days has more than 10200 hits):

Probability =P(X>15)=P(Z>(15-8.322)/2.852)=P(Z>2.34)=1-P(Z<2.342)=1-0.9904=0.0096

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SOLUTION

One way to find the blank 1: least common multiple of two numbers is to list their multiples and find the first number that appears in both list.

Another way is to blank 2: multiply the numbers together, and then divide by their blank 3: greatest common factor.