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Part 1
Find the slope of the line.
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Part 1
The slope of the line is 22.
​(Type an integer or a simplified​ fraction.)
.
.
.
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Part 1
-10
-8
-6
-4
-2
2
4
6
8
10
-10
-8
-6
-4
-2
2
4
6
8
10
x
y

The minimum of the function is at x = -10. The minimum on the interval [-10,6] is -2.67.

What is a function?

A function from a set X to a set Y allocates exactly one element of Y to each element of X. The set X is known as the function's domain, while the set Y is known as the function's codomain.

Given function is f(x) = ³√(x-9)

The graph of the given function increases with the increase of the value of x and decreases with the decrease of the value of x.

Thus the minimum value of f(x)on the interval [-10,6] is at x = -10

Putting x = -10 in the given function.

f(-10) = ³√(-10-9)

f(-10) = ³√(-19)

f(-10) = -2.668

f(-10) = -2.67 (rounded to 2 decimal places).

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The solutions are - X = [5 5; 5 -2] is a nonzero element in W and  Y = [1 1; 1 1] is the element in V that is not in W.

A nonzero element X in W can be any linear combination of the given basis vectors:

X = a[5 5; 5 -2] + b[5 -4; -4 1]

Where a and b are nonzero scalars. For example, X = [5 5; 5 -2] is a nonzero element in W.

An element Y in V that is not in W can be any symmetric 2x2 matrix that cannot be written as a linear combination of the given basis vectors. For example, Y = [1 1; 1 1] is not in W as it cannot be written as a linear combination of [5 5; 5 -2] and [5 -4; -4 1].

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The complete question is -

Let V be the vector space of symmetric 2 Times 2 matrices and W be the subspace W = span{[5 5; 5 -2], [5  -4; -4 1]}. Find a nonzero element X in W. Find an element Y in V that is not in W.

A journal entry is a format used in accounting to record transactions. The amount we owe someone else that we must get in the future is known as notes receivable.

Notes receivable are claims for which official documents of credit, like promissory notes, are issued as proof of debt. In most cases, the credit instrument has a minimum term of 30 days and imposes an interest payment obligation on the debtor.

Given the following information:

Note receivable $15,000

Rate of interest 9%

Discount rate    12%

Period              2 months

Preparing journal entry to record accrued interest

To prepare the journal entry, we must first calculate the interest. We can compute interest by multiplying the notes receivable, the interest rate, and the period, i.e.

Interest = Notes receivable × Rate of interest × Period

Interest = 15000 × 0.09 × 2/12

Interest = 225

Now we can prepare the journal entry

Date                          Particulars              Debit ($)               Credit($)

February 28, 2016     Interest receivable        250

                                          Interest                                    250

                           To record accrued interest  

Preparing the journal entry to record discounting

To begin preparing the Journal entry, we must first calculate the necessary data.

We can calculate the cash as the difference between Maturity Value and Discount. That is,

Cash = Maturity Value – Discount

The value of Maturity is unknown. We can compute it as the sum of the receivable notes and interest. That is,

Maturity Value = Notes receivable + Interest

Interest =Notes receivable × Rate of interest × Period

= $15,000 × 0.1 × 6/12

= $1,500 × 0.5

= $750

​Maturity Value = Notes receivable + Interest

= $15,000 + $750

=  $15,750

Discount =Maturity Value × Discount rate × Period

= $15,750 × 0.12 ×  4/12

= $1,890 × 0.33

= $630

Finally, we can calculate cash

Cash = Maturity Value – Discount

= $15,750 − $630

= $15,120

Loss on sale = Cash – Notes receivable - Interest

= $15,120 − $15,000 − $250

= $130

Finally, we can prepare our journal entry.

Date                        Particulars                   Debit ($)            Credit($)

February 28,2016     Cash                            15,120

                              Loss on sale                      130

                              Notes receivable                                               15,000

                                  Interest                                                  250

                       (To record discounting)  

Thus, Cash & Loss are debited, & Notes Receivable & Interest are credited.

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Therefore , the solution to the given problem of slope intercept comes out to be  dy/dx = -1/2.

After you are certain if Y = mx + b, the gradient intercept approach can be employed. By using just one particular point on the line and its slope, the direction form is a way to represent an axiom for a line. The slope is defined as such rise across run and is represented first by point form (x,y), and may be calculated using the slope intercept method, y = mx + b. (0, b). By using just one specific statement on the vector and its slope, the direction form is a technique to write a linear model for a line.

Here,

Given : x² +2xy - 2y² +x =2

thus,

To find the gradient at point (-4,1) :

We have to find the dy/dx

so,

=>  2x + 2y + 2xdy/dx -2ydy/dx +1 =0

=> dy/dx (2x-2y) = -(2x+ 2y) -1

=>dy/dx = -(2x+2y) -1 / (2x-2y)

So , at the point (-4,1)

=> dy/dx = -(-8 + 2) -1 / (-8 -2)

=>dy/dx = 5/-10

=>dy/dx = -1/2

Therefore , the solution to the given problem of slope intercept comes out to be  dy/dx = -1/2.

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[tex]13 + n-26 < 38[/tex]

Simplify:

[tex]n-13 < 38[/tex]

Add 13 to both sides:

[tex]n-13+13 < 38+13[/tex]

[tex]\fbox{n} < \fbox{51}[/tex]

Answer:

n<51 but what I got was n+25

The remaining lemonade in the container after Coach Miller pours g gallons for the players is, (5 - g) gallons.

Subtraction in mathematics means that is taking something away from a group or number of objects. When you subtract, what is left in the group becomes less.

We have to given that;

There are 5 gallons of lemonade in the container.

Now, Initially lemonade available in Container = 5 gallons

Here, Coach Miller pours g gallons for the players.

Hence, Lemonade remaining in Container = (5 - g)  gallons

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The equation and solution of the problem are 3/8-7/8 and 1/2.

An equation is an expression that shows the relationship between two or more numbers and variables.

A mathematical equation is a statement with two equal sides and an equal sign in between. An equation is, for instance, 4 + 6 = 10. Both 4 + 6 and 10 can be seen on the left and right sides of the equal sign, respectively.

Given;

The food parrot eats = 3/8pounds

The food cat eats = 7/8pounds

Now, food eaten more by cat =7/8-3/8

=(7-3)/8

=4/8

=1/2

Therefore, the answer to equation will be 1/2.

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The price of foreign currency in relation to the local currency is referred to as the Nominal Exchange rate. It displays how many units of local money must be renounced in order to obtain one unit of foreign cash.

The amount of local currency required to buy foreign currency is known as the nominal exchange rate. The NEER is a measure of a nation's ability to compete internationally in the foreign exchange (forex) market.

Yes, you can exchange 1 USD for 90 YEN on the foreign exchange market, and vice versa. Nominal currency appreciation is the term used to describe a decline in this measure.

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What is the Nominal Exchange Rate?

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Shirts = 10$ Pants = 10$

Step-by-step explanation:

50 / 5 = 10$

3/1 = 10$

In this system of simultaneous equations, the cost of each shirt (x) equals $5 and the cost of each pair of pants (y) is $25.

This is a system of simultaneous equation problems in Mathematics. Let's denote the cost of one shirt as x and one pair of pants as y. Based on the problem information, you have these two equations:

1) 2x + 3y = 50

2) 3x + y = 40

To solve for x, you can multiply the second equation by three and subtract the first equation from it:

3*(3x + y) - (2x + 3y) = 50

After simplifying, you find that x (cost of each shirt) equals 5.

In order to find y (cost of each pair of pants), you can now substitute x = 5 into the second original equation: 3*5 + y = 40, which gives you y = $25, the cost of each pair of pants.

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The area of the circle with diameter 6.4 is 32.15 square centimeters.

A circle closed plane geometric shape. In technical terms, a circle is a locus of a point moving around a fixed point at a fixed distance away from the point.

Area of a circle is the region occupied by the circle in a two-dimensional plane. It can be determined easily using a formula:

[tex]A = \pi r^2[/tex]

Given that the diameter of the circle is 6.4 centimeters.

The radius of the circle is thus half of the diameter that is 3.2 centimeters.

The area of the circle is given by the formula:

[tex]A = \pi r^2[/tex]

Substitute the value of r = 3.2 in the formula:

[tex]A = (3.14) (3.2)^2\\\\A = 32.15[/tex]

The area of the circle is 32.15 square centimeters.

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Answer:

6 and 2

Step-by-step explanation:

50 divided by 8 is 6.25 and since you can't make .25 of a centerpiece he can only make 6 centerpieces

there will be 2 flowers left over because .25 of 8 is 2 (.25 times 8)

A continuous random variable is one that has a range of possible values. In other words, if a random variable adopts a value that fits within a specific range, it is said to be continuous.

Measurements like height, weight, and time are all represented by continuous random variables. A continuous random variable is represented as the area under a density curve. The concept of a continuous random variable, as well as its mean, variance, types, and related examples

P(X < 0.35) = 0.35

P(X = 0.35) = 0 since X is a continuous random variable and the probability of a specific value is 0.

P(0.35 < X < 1.25) = 1.25 - 0.35 = 0.9

P(0.10 < X < 0.20 or 0.6 < X < 0.9) = (0.20 - 0.10) + (0.9 - 0.6) = 0.3

P(X < 0.5 or X > 0.6) = (0.5 - 0) + (1 - 0.6) = 0.9

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The two factors such that their product is the first number and their sum is the second number are 8 and 5.

A factor is defined as the number that divides another number, leaving no remainder.

In other words, if multiplying two numbers gives us a product, then the number we multiply is a factor of the product and divided by the product.

The factors of 40 and 13 such that their product is the first number and their sum is the second number = 8 and 5.

That is, 8×5 = 40

8+5 = 13

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Based on the image provided, the actual height of the structure would be 1/975.36.

This refers to a picture or model that is made based on the proportion of an original structure. Most models are smaller than their original.

According to the image, 1 centimeter represents 32 feet of the actual structure, which means there is a 1:32 scale factor, let's calculate then the number of centimeters in total to know the height:

1 foot = 30.48 cm

32 feet = x

x= 30.48 x 32/ 1 = 975.36 cm

Based on this the height can be expressed as  1/975.36.

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The range of the function is {0.01, 0.1, 1, 10, 100}. With an increase in the value of the domain, the range of the function is increasing.

What is a function?

A function from a set X to a set Y allocates exactly one element of Y to each element of X. The set X is known as the function's domain, while the set Y is known as the function's codomain.

Given function is

f(x) = 10^x.

Given domain is {-2, -1, 0, 1, 2}.

Now putting x = -2, -1, 0, 1, 2 in the function f(x) = 10^x.

When x = -2:

f(-2) = 10^(-2)

f(-2) = 0.01.

When x = -1:

f(-1) = 10^(-1)

f(-1) = 0.1.

When x = 0:

f(0) = 10^(0)

f(0) = 1.

When x = 1:

f(1) = 10^(1)

f(1) = 10

When x = 2:

f(2) = 10^(2)

f(2) = 100

The range of the function is {0.01, 0.1, 10, 100}

The values of the range increase with the increase of domain.

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Answer

17y^2  + 6y

Step-by-step explanation:

Answer:

b is 5

I wish you luck in your assignments.

The graph below shows the number of blocks away from home Bentley is 21 minutes after he left his house, until he got back home.

The distance-timed graph is the type of graph that is used to represent the relationship that exists between the distance covered by a moving object and the time take to reach its destination.

The distance covered from house to store= 4 blocks

The time used = 2 minutes

The distance covered from store to the bank = 10 blocks

The time used = 7 minutes

The time used to return home from the bank = 12 minutes

Therefore, Bentley is 21 minutes after he left his house, until he got back home. That is 2+7+12 = 21 minutes.

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The equation that models the future cost of gasoline, if the price increases by 0.3% per month, is option D: y = 1.19(1.003)

In this equation, y represents the cost of gasoline at a certain time (measured in months) in the future. The initial cost of gasoline is represented by 1.19 (since this is the base value we are starting with), and the increase in price over time is represented by (1.003)^z where z represents the number of months in the future.

The equation 1.19(1.003)^z to model the future cost of gasoline is correct, the base cost multiplied by a number representing an increase in the price each month (1.003) raised to the power of the number of month. Each time z increases by 1, the price increases by 0.3%

Therefore, increasing z by 1 increases the price of gasoline by 0.3%. If you want to calculate the price for a certain number of months in the future, you can plug in that number for z in the equation and calculate the result.

Answer:y=1.19(1.003)x

Step-by-step explanation:

Answer: 14.7868

Step-by-step explanation: There are 29.5734 milliliters in a US fluid ounce. Since we need .5 oz, we multiply this number by .5.

Answer:

x = 67°

Step-by-step explanation:

When two parallel lines are cut by a transversal, the pair of angles formed on the interior of the parallel lines but on the opposite sides of the transversal are called alternate interior angles and they are congruent.

          x = 67°

When the number of times you roll an odd number increases, the theoretical probability that you roll an even number would decrease.

As the number of times you roll an odd number increases, the theoretical probability that you roll an even number decreases. This is because the probability of rolling an even number is inversely proportional to the number of times you roll an odd number.

If you are rolling a fair die, the probability of rolling an even number is 3/6 or 1/2, and the probability of rolling an odd number is also 3/6 or 1/2.

As the number of times you roll an odd number increases, the number of rolls that are left for an even number decreases, thus the probability of rolling an even number decreases as well.

For example, if you roll the die 10 times and 6 of them are odd numbers, the probability of rolling an even number in the remaining 4 rolls is 4/4 or 1 (100%) because you are guaranteed to roll an even number.

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The length of the hypotenuse is 13 units

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

Legs = 5 and 12 units

The length of the hypotenuse of the right triangle can then be calculated using

Hypotenuse² = Leg 1² + Leg 2²

Substitute the known values in the above equation, so, we have the following representation

Hypotenuse² = 5² + 12²

So, we have

Hypotenuse² = 169

Take the square roots

Hypotenuse = 13

Hence, the hypotenuse is 13 units

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Step-by-step explanation:

it us a polynomial with a second degree variable

Each pair of athletic shoe cost $20 and each pair of athletic shoe cost $35, in the given arithmetic problem.

By doing addition, subtraction, multiplication, and division on numbers, arithmetic is defined as the study of numbers.

Let 20x be the cost of manufacturing 20 athletic shoes and 10y be the cost of manufacturing 10 casual shoes, then

20x + 10y = 750

10y =  750 - 20x

y =  75 -2x

Let 25x be the cost of manufacturing 25 athletic shoes and 20y be the cost of manufacturing 20 casual shoes, then

25x + 20y = 1200  

20y = 1200 - 25x

y = 60 - 25x/20

y = 60 - 1.25x

Equalise the y terms

75 -2x = 60 - 1.25x

75 - 60 = -1.25x + 2x

15 = 0.75x

x = 15/ 0.75

x = 20

Substitute the value of x in y =  75 -2x

y =  75 -2(20)

y = 75 - 40

y = 35

Thus, each pair of athletic shoe cost $20 and each pair of athletic shoe cost $35.

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Full question:-

Ranger Shoe Company manufactures two types of shoes, athletic shoes and casual shoes. The cost of manufacturing 20 pairs of athletic shoes and 10 pairs of casual shoes is $750. If 25 pairs of athletic shoes and 20 pairs of casual shoes were manufactured, the cost would be $1200. How much does it cost to manufacture each type of shoe?

Answer: 10y

Step-by-step explanation:

4(y-2)+6y+8

4(y-2)=4y-8

4y-8+6y-8

*8's cancel out*

6y+4y=10y

The requried scaled length of the actual length is given as 4 inches.

The scale factor is defined as the ratio of the modified change in length to the original length.

here,
In the question,
Scale 3 in = 24ft
Scale factor = modified length / original length
Scale factor = 3 / 24 = 1/8

Now,
For an actual length of 36 ft,
Scaled length is given as = 36 × 1/8 = 4 inches

Thus, the requried scaled length of the actual length is given as 4 inches.

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This event is a binomial experiment because C. there are only two outcomes; the number of trials is fixed; the probability is the same for each trial; the trials are independent of each other.

A binomial experiment is a random experiment with a fixed number of repeated trials with independent outcomes, successes or failures, yes or no, and heads or tails.

In a binomial experiment, the probability of "success" p is the same for each outcome as the chance of "failure" q is the same for each outcome.

The number of free throw shots in this experiment is 20 and they are either missed or scored.

Thus, the fixed number of trials with only two outcomes satisfied as a binomial experiment.

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Answer:19

Step-by-step explanation:

I think this is right