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The price of fake teeth is $4 and the price of fake spiders is $1.50.

Two equations can be derived from this question:

5x + 10y = 35 equation 1

x = 4y - 2 equation 2

Where:

x = false teeth

y = fake spiders.

In order to determine the value of y, substitute for x in equation 1:

5(4y -2) + 10y = 35

20y - 10 + 10y = 35

Add similar terms

30y - 10 = 35

Combine similar terms

30y = 45

y = 45 / 30

y = $1.50

Substitute for y in equation 2

x = 4(1.50 - 2

x = 6 - 2

x = 4

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The answer is A. The normal distribution in its standardized form has a mean of 0 and a standard deviation of 1. This means that the distribution is centered around 0, and the spread of the data is determined by the standard deviation of 1. This is useful in statistical analysis because it allows us to compare data from different distributions on a standardized scale.

The normal distribution is a continuous probability distribution that is often used in statistical analysis. It is characterized by a bell-shaped curve and is symmetrical around its mean. In its standardized form, the normal distribution has been transformed to have a mean of 0 and a standard deviation of 1. This transformation is achieved by subtracting the mean of the distribution from each data point and dividing by the standard deviation. This standardization allows us to compare data from different normal distributions on a standardized scale.

The normal distribution has many properties that make it useful in statistical analysis. It is often used as a model for many real-world phenomena, such as the distribution of human height, IQ scores, and many others. The normal distribution is also useful because it is well understood and has many mathematical properties that make it easy to work with.

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The amount of the sum Rs 1200 for one and a half year at 40 percent of interest compounded quarterly is Rs 1893.09.

The amount of the sum Rs 1200 for one and a half year at 40 percent of interest compounded quarterly can be calculated as follows:

Given, Principal = Rs 1200Time = 1.5 yearsInterest rate = 40% per annum, compounded quarterly

Let r be the quarterly rate of interest. Then we can convert the annual interest rate to quarterly interest rate using the following formula: \text{Annual interest rate} = (1 + \text{Quarterly rate})^4 - 1$$

Substituting the values, we get:0.40 = (1 + r)^4 - 1 Solving for r, we get:r = 0.095 or 9.5% per quarter

Now, we can use the formula for the amount of money after time t, compounded quarterly: $A = P \left( 1 + \frac{r}{4} \right)^{4t}

Substituting the values, we get:A = Rs 1200 x $\left(1 + \frac{0.095}{4} \right)^{4 \times 1.5}= Rs 1893.09

Therefore, the amount of the sum Rs 1200 for one and a half year at 40 percent of interest compounded quarterly is Rs 1893.09.

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Answer:

function 2

function 1

function 3

Step-by-step explanation:

function 1 has a slope of -2, function two has a slope of -8/3 or approximately -2.6 function three has a slope of -11/6 or approximately -1.8

Answer:

Step-by-step explanation:

Equation =》s = x² - 3

To change the subject to 'x' :-

\(\tt\:s = x ^ { 2 } - 3\)

\(\tt\:x^{2}-3=s\)

\(\tt\:x^{2}=s+3\)

So,

\(\boxed{\tt\:x=\sqrt{s+3}}\)

\(\boxed{\tt\:x=-\sqrt{s+3}\text{, }s\geq -3}\)

=》'x' can be any of the 2 values in the boxes.

_______

Hope it helps ⚜

Answer:

I agree with RainbowSalt2222

Step-by-step explanation:

It is correct exactly what I got

Answer:

Assumptions:

All sausages will be eaten.

All bread will be eaten.

All tomato sauce will be used.

All cordial will be consumed.

The BOT will pay for 20% of the total cost of the food and drink.

The Parents Association will pay for 50% of the total cost of the food and drink.

The 60 students will share the remaining 30% of the total cost of the food and drink equally.

The cost of the food and drink will be rounded to the nearest cent.

Working:

To find the total amount of sausages needed, we divide the number of people by the number of people each kilogram of sausages can feed:

240 people ÷ 6 people/kg = 40 kg of sausages

The cost of sausages before discount is:

40 kg x $11/kg = $440

The discount is 15%, so the cost of sausages after discount is:

$440 - 0.15 x $440 = $374

To find the total number of loaves of bread needed, we divide the number of people by the number of people each loaf of bread can feed:

240 people ÷ 10 people/loaf = 24 loaves of bread

The cost of bread is:

24 loaves x $1.50/loaf = $36

To find the total number of bottles of tomato sauce needed, we divide the number of people by the number of people each bottle of tomato sauce can feed:

240 people ÷ 15 people/bottle = 16 bottles of tomato sauce

The cost of tomato sauce is:

16 bottles x $4.50/bottle = $72

To find the total amount of cordial needed, we multiply the number of people by the amount of cordial each person needs:

240 people x 200 mL/person = 48,000 mL of cordial

To dilute the cordial in the ratio 1 part cordial: 10 parts water, we need 11 parts of the mixture. So, the total amount of liquid needed is:

48,000 mL x 11 = 528,000 mL

To convert this to liters, we divide by 1,000:

528,000 mL ÷ 1,000 = 528 L

To find the number of bottles of cordial needed, we divide the total amount of cordial by the amount of cordial in each bottle:

528 L ÷ 0.75 L/bottle = 704 bottles of cordial

The cost of cordial is:

704 bottles x $3.50/bottle = $2,464

The total cost of food and drink is:

$374 (sausages) + $36 (bread) + $72 (tomato sauce) + $2,464 (cordial) = $2,946

The BOT will pay for 20% of this cost:

$2,946 x 0.20 = $589.20

The Parents Association will pay for 50% of this cost:

$2,946 x 0.50 = $1,473

The total cost that the 60 students will have to share is:

$2,946 - $589.20 (BOT contribution) - $1,473 (Parents Association contribution) = $883.80

Each student will have to pay an equal share of this cost:

$883.80 ÷ 60 students = $14.73

Therefore, each student will have to pay $14.73 to just cover the cost of the food

Step-by-step explanation:

Each student will have tο pay $0 tο just cοver the cοst οf the fοοd and drink.

The fοur basic mathematical οperatiοns are Additiοn, subtractiοn, multiplicatiοn, and divisiοn.

Assumptiοns:

All 240 peοple attending will eat sausages, bread, and tοmatο sauce, and drink cοrdial.

The students will οnly need tο pay fοr the sausages, bread, tοmatο sauce, and cοrdial, as the BOT and Parents Assοciatiοn will cοver the rest οf the cοsts (such as utensils, plates, etc.).

The diluted cοrdial will be made in batches οf 750 mL (1 bοttle) and will be enοugh fοr 15 peοple, as stated in the prοblem.

1. Sausages:

2. Bread:

3. Tοmatο sauce:

4. Cοrdial:

Tοtal cοst οf fοοd and drink:

$374 + $36 + $72 + $224 + $24.50

= $730.50

The BOT will cοver 20% οf the cοst, which is

$730.50 x 0.2

= $146.10.

The Parents Assοciatiοn will cοver the remaining 80%, which is

$730.50 x 0.8

= $584.40.

The 60 students will share the balance οf the cοst, which is

$730.50 - $146.10 - $584.40

= $0.

Hence, each student will have tο pay $0 tο just cοver the cοst οf the fοοd and drink.

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Answer:

what do you mean exactly, i really wanna help

Answer:

p=q

Step-by-step explanation:

the second statement must be true.

Answer:

12 N

Step-by-step explanation:

Answer: $1, 615

Step-by-step explanation:

Answer:It is the one where the subway is the biggest

Step-by-step explanation:

because in the graph  it shows the subway is the biggest number

The algebraic method for solving simultaneous linear equations is the substitution method

The elimination method is the process of eliminating one of the variables in the system of linear equations using the addition or subtraction methods

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

The algebraic method for solving simultaneous linear equations is the substitution method. The value of one variable from one equation is substituted in the second equation in this procedure, as the name implies.

The elimination method is the process of eliminating one of the variables in the system of linear equations using the addition or subtraction methods in conjunction with the multiplication or division of coefficients of the variables.

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Answer:

-3/5

Explanation:

slope is y2 - y1/x2 - x1

Answer:

3/5 is the slope

Step-by-step explanation:

just think RISE/RUN so you start on a dot that is intersecting with a line then count however many blocks up until you reach the other dot on the line that is also intersecting with the graph. Once you have done that you can move to the left however many spaces until you reach the second dot. Then you're done!

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Given:

Length of a box is 9 inches, width is 2 inches and height is 1.5 inches.

The cost of silver coating is $2.50 per sq. inches.

To find:

The total cost of silver coating for the box.

Solution:

The total surface area of a cuboid is

\(A=2(lb+bh+hl)\)

Where, l is length, b is breadth and h is height.

Putting \(l=9,b=2,h=1.5\), we get

\(A=2(9\times 2+2\times 1.5+1.5\times 9)\)

\(A=2(18+3+13.5)\)

\(A=2(34.5)\)

\(A=69\)

So, the total surface area of the box is 69 square inches.

Cost of silver coating is $2.50 per sq. inches. So, the cost of silver coating for the box is

\(Cost=69\times 2.50\)

\(Cost=172.50\)

Therefore, the cost of silver coating for the box is $172.50.

Answer:

8m+-9n

Step-by-step explanation:

a) The area of triangle PQR is:

Area = √(6)/2

b) The equation of the plane that contains P, Q, and R is:

x + y + 2z = 2

a) For the area of the triangle PQR, we can use the formula:

Area = 1/2 |PQ x PR|

where PQ and PR are the vectors from P to Q and R, respectively, and x denotes the cross product.

So, we have:

PQ = <1-0, -1-0, 2-1> = <1, -1, 1>

PR = <-1-0, 1-0, 1-1> = <-1, 1, 0>

Taking the cross product:

PQ x PR = <1, -1, 1> x <-1, 1, 0> = <-1, -1, -2>

Taking the magnitude:

|PQ x PR| = √((-1)² + (-1)² + (-2)²) = √(6)

So, the area of triangle PQR is:

Area = 1/2 × √(6) = √(6)/2

b) To find the equation of the plane that contains P, Q, and R, we can use the point-normal form of the equation:

n · (r - P) = 0

where n is the normal vector of the plane (which is perpendicular to the plane), r is any point on the plane, and · denotes the dot product.

To find the normal vector, we can take the cross product of PQ and PR:

n = PQ x PR = <-1, -1, -2>

Now, we can use any of the three points to find the equation of the plane. Let's use P:

n · (r - P) = 0

Substituting n and P:

<-1, -1, -2> · (r - <0, 0, 1>) = 0

Expanding the dot product:

-1(r_x - 0) - 1(r_y - 0) - 2(r_z - 1) = 0

Simplifying:

-r_x - r_y - 2r_z + 2 = 0

So, the equation of the plane that contains P, Q, and R is:

x + y + 2z = 2

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The expressions by value from least to greatest are x-1, x, -2x, 1-x

An algebraic expression in mathematics is an expression which is made up of variables and constants, along with algebraic operations (addition, subtraction, etc.). Expressions are made up of terms.

Given here: The value of x is -1/4

Thus evaluating for each expression by substituting value of x we get

1) x=-1/4

2) 1-x= 1+1/4

         =5/4

3)x-1=-1/4-1

       =-5/4

4)-2x= -2×-1/4

       = 1/2

Hence,  The answers are 1/4,5/4,-5/4,1/2

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This criterion can be defined based on the desired level of accuracy or when the change in the estimated parameters falls below a certain threshold.

When implementing a program for a nonlinear problem using the least square adjustment technique, it is essential to determine a termination condition. This condition dictates when the program should stop iterating and provide the final estimated parameters. A common approach is to set a convergence criterion, which measures the change in the estimated parameters between iterations.

One possible criterion is to check if the change in the estimated parameters falls below a predetermined threshold. This implies that the adjustment process has reached a point where further iterations yield minimal improvements. The threshold value can be defined based on the desired level of accuracy or the specific requirements of the problem at hand.

Alternatively, convergence can also be determined based on the objective function. If the objective function decreases below a certain tolerance or stabilizes within a defined range, it can indicate that the solution has converged.

Considering the chosen termination condition is crucial to ensure that the program terminates effectively and efficiently, providing reliable results for the nonlinear problem.

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Answer:

Yes the slope is 100 feet/second

Step-by-step explanation:

Change in height = 2500

Change in temp = 25

2500 ÷ 25 = 100

The tetrahedral complex [CoCl2]^2- has a larger Ligand Field Splitting Energy (LFSE) compared to the tetrahedral complex [FeCl4]^2-.

The LFSE of a complex is determined by the nature of the metal ion and the ligands surrounding it. In this case, we are comparing the tetrahedral complexes [CoCl2]^2- and [FeCl4]^2-.

The LFSE for tetrahedral complexes depends on the number of electrons in the d orbitals of the metal ion. Both cobalt (Co) and iron (Fe) are transition metals with d orbitals.

However, in the tetrahedral complex [CoCl2]^2-, cobalt (Co) has a d7 electronic configuration, whereas in the tetrahedral complex [FeCl4]^2-, iron (Fe) has a d6 electronic configuration.

The LFSE increases with the number of electrons in the d orbitals. Therefore, since [CoCl2]^2- has one more electron in the d orbitals compared to [FeCl4]^2-, it will have a larger LFSE.

Hence, the tetrahedral complex [CoCl2]^2- has a larger Ligand Field Splitting Energy (LFSE) than the tetrahedral complex [FeCl4]^2-.

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Answer:

length is 20 width is 5

Step-by-step explanation:

35

5 20

The sample space for this experiment consists of 12 possible outcomes.

The sample space is a collection of all possible outcomes of an experiment.

There are three types of soups, two types of salads, and two types of sandwiches. Therefore, the sample space consists of 3x2x2 = 12 possible outcomes.

There could be a tomato soup, a spinach salad, and a turkey sandwich, which would be one possible outcome in the sample space. There could also be a minestrone soup, a Caesar salad, and a grilled cheese sandwich, which would be another possible outcome in the sample space.

Therefore, the sample space for this experiment consists of 12 possible outcomes, each of which is unique and representative of the customer's randomly chosen lunch.

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Answer:

stuff with math

Step-by-step explanation:

Answer:

w = 30

Explanation:

5 times 6 is 30, therefore w = 30.

Answer:

w÷5=6

Step-by-step explanation:

The given pattern is

We will find the difference between the consecutive terms

Then the pattern is increasing by 4 units

The pattern is changing by adding 4

Multiply the upper system by -4:

\( - 7x - 5y = - 11\)

\(7x + 5y = 7\)

\(0 = - 3\)

\(this \: system \: admits \: no \: solutions\)