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a Ratio : 18:11

Speed of car is 5 m/sec

What is speed?

In ordinary language and kinematics, an object's speed is defined as the magnitude of its position change over time or the magnitude of its position change per unit of time; it is therefore a scalar number. The distance traveled by an item in a time interval is divided by the duration of the period; the instantaneous speed is the limitation of the average speed as the length of time period tends to zero. Velocity is not the same as speed. Distance divided by time is the dimension of speed. The metre per second (m/s) is the SI unit of speed, while the kilometre per hour (km/h) is the usual unit.

The speed of the car = 1.5/5 km/min = 0.3 km/min

Speed in m/sec = 0.3x1000/60 = 5m/sec

Hence, speed of car = 5 m/sec

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Answer:

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Answer:

4 books

Step-by-step explanation:

Let b equal the number of books.

[tex]5 + 3.50b = 19[/tex]

[tex]3.50b = 14[/tex]

[tex]b = 4[/tex]

By taking the 20 percent of £85 and adding that to the base salary, we can see that last week Brett earned £95

Here we need to work with percentages. We know that Brett wins a commission of 20% of sales.

So, if he sells a total amount of A (A is in dollars). Then what he gets is:

0.2*A

Where 0.2 is the decimal form of 20%.

Here we know that Brett wins £78 as a base, and last week he sell a total of £85, then the amount he gets by the commission is:

0.2* £85 =  £17

Adding that to the base he already earns each week, we get:

£78 +  £17 =  £95

In this way, we conclude that last week Brett earned £95

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25000 in mutual funds

50000 in CD

Pool of money managed by a professional Fund Manager is termed mutual fund. It is a trust that collects money from other investors who have a common investment objective and invests the same in equities and bonds.

Let X be the amount in Mutual Funds

Y be the amount in CDs

the constraints:

Y = 2x

x>9000

Y = 75000 - x

There has to be at least 2x + x = 75000

                                       3x = 75000

                                        x = 25000

Objective function for the return of investment is R(x,y) = 0.06X + 0.07Y

After graphing linear equations and inequalities, the vertices of the critical region are as:

(9000,18000) --> 1710

(25000,50000)  ---> 4750

(75000,0) --> 3750

25000 in mutual funds

50000 in CD

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надеюсь что объяснила точно и нормально

The odd function is

y = sin x

y = cos x

A function f is deemed weird if f(-x) Equals -f for any value of x. (x). A function is said to be an even function if f(-x) = f for any value of x. (x).

What do odd functions entail?

The meaning of odd function

T function where the absolute value does not change if the independent variable's sign is reversed but the sign of the function itself does.

If f(-x) = -f for any number x, a function f is considered strange (x). When f(-x) = f for any number x, a function is referred to as an even function (x). Even while most functions are neither odd nor even, some of the most significant functions are.

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Answer:

A. y = sin x

B. y = csc x

C. y = tan x

Step-by-step explanation:

Answer:

10/11

Step-by-step explanation:

count how many cups and then what ones have water and milk

The amount which Mr. Jonas will have to repay after 4 years is $13,888 when the interest rate is 3% per year on a loan of $12,400.

According to the question,

We have the following details:

The amount of the loan or the principal amount = $12,400

Interest rate = 3% per year

Time = 4 years

Now, it is given that the interest is not a compound interest. So, the total interest can be found using the formula of simple interest.

Simple Interest (S.I.) = (Principal*rate*time)/100

S.I. = (12400*3*4)/100

S.I. = (12400*12)/100

S.I. = 148800/100

S.I. = $1,488

Now, the total amount Mr. Jonas have to repay will be the sum of the loan he has taken out and the simple interest after 4 years.

Total amount = Principal + S.I.

Total amount = 12400+1488

Total amount = $13,888

Hence, the total amount of loan Mr. Jonas has to repay is $13,888.

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If she priced scooter for $15.50 and ended up selling it for $10.75, then the percentage of decrease in the price of the scooter is 30.64%

The initial price of the scooter = $15.50

The selling price of the scooter = $10.75

The amount decrease in the price of the scooter = Initial price of the scooter - The selling price of the scooter

= 15.50-10.75

= $4.75

The percent of decrease in the price of the scooter = (The amount decrease in the price of the scooter ÷ The initial price of the scooter)×100

= (4.75/15.50)×100

= 30.64%

Hence, if she priced scooter for $15.50 and ended up selling it for $10.75. then the percentage of decrease in the price of the scooter is 30.64%

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The figure that shows that ST || QR is the first figure

For lines ST and QR to be parallel they have equal distance form the base  of the triangle.

Taking the ratio of the distances from the apex we have

PS / SQ = PT /TR

The figure that has it's ratio equal is the figure that the lines  ST and QR are parallel

Checking the first figure gives

= PS / SQ

= 7.5 / 17.5

= 0.428571

Also

= PT /TR

= 8.7 / 20.3

= 0.428571

since the ratio is equal the two lines are parallel in the

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Answer:I’m not sure what the second one is

Step-by-step explanation:

Answer:

[tex]\frac{29}{8}[/tex]

Step-by-step explanation:

3[tex]\frac{3}{8}[/tex] equals to [tex]\frac{27}{8}[/tex], then we can write out the equation:

[tex]\frac{27}{8} + x = 7[/tex]
then subtract [tex]\frac{27}{8}[/tex]on both sides of the equal sign,

[tex]x = 7 - \frac{27}{8}[/tex]

and then we calculate x

[tex]x=\frac{56-27}{8}[/tex]

[tex]x=\frac{29}{8}[/tex]

Thus the answer is [tex]\frac{29}{8}[/tex]

The equation for three consecutive integers whose sum is 36 is n + (n+1) + (n+2) = 306.

A mathematical statement called an equation includes the sign "equal to" between two expressions with equal values.

Whole numbers that follow one another without a gap are known as consecutive integers.

Given the sum of three consecutive integers = 306

Let the integers be n, n+1, n+2

Then, n + (n+1) + (n+2) = 306

⇒3n + 3 = 306

⇒n = 303/3

⇒n = 101

Hence, n+1 = 102 and n+2 = 103

Therefore, the equation for three consecutive integers whose sum is 36 is n + (n+1) + (n+2) = 306.

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Answer:

Based on the given conditions, formulate: 235000×(1+1-4%)

Calculate the sum or difference:235000×(2-0.04)

Calculate the sum or difference:235000×1.96

Calculate the product or quotient:460600

get the result:460600

So the answer is 460600

Answer:

£ 253,484.16

Step-by-step explanation:

Cost of house for first year = £235,000

Year 1

Depreciation for first year  is 4% = 4/100

Depreciation in £ = 235,000 x 4/100 = £9,400

Effective value of house at end of first year
= 235000 - 9400 = £225,600

Year 2

In the second year the house  value increased by 6% = 6/100

So total increase in £ at the end of year 2 with an initial value of £225,600 = £225,600 x 6/100 = £13,536

So actual value of house at end of year 2
= £225,600 + £13,536
= £239,136

Year 3

The value increased by 6% for year 3.

Value at beginning of year 3 = £239,136

Increase in value at 6% = £239,136 x 6/100 = £14,348.16

Total Value at end of year 3

=  £239,136 + £14,348.16

= £253,484.16

Answer: £253,484.16

Note
Another way of quickly calculating this is noting that 4% depreciation means the new value is  (1 - 4%) of initial value = 1 - 4/100 = 0.96

An increase of 6% means the new value will be 1.06 times the initial value

So the value of the house after 4% depreciation for the first year and 6% appreciation for the next  2 years

= 235000 x (0.96)(1.06)(1.06) = 253,484.16

Answer:

1

Step-by-step explanation:

Anything to the power of 0 is 1 except for 0.  If the base is o, the answer is undefined.  It is will dividing by 0.  That is also undefined.

Answer:

-10degree

Step-by-step explanation:

because the 0 is the degree

The probability of randomly selecting an order and getting the order that is used in the spelling​ bee is  0.001388888

Given we have the following:

Number of students in the spelling bee = 6

Number of ways selecting a student in the spelling bee = 6!

The probability of randomly selecting an order and getting the order that is used in the spelling bee :

P(selecting the correct spelling bee order) = 1/6!

= 1/6*5*4*3*2*1

= 1/720

= 0.001388888

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Answer:

$17.64

Step-by-step explanation:

Multiply 7.84 by 2.25

7.84 x 2.25 = 17.64

Answer:

$17.64

Step-by-step explanation:

1 pound salmon = 7.84

2.25 (2 1/4) pound salmon = 17.64

Answer:

1.5x=9+4.5y

x= [tex]\frac{9+4.5y}{1.5}[/tex]

x = 6 + 3y

3y= x - 6

y = x/3-2

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Answer:

27x+50

Step-by-step explanation:

How to solve your problem

50 + 108x/4

Simplify

Cancel terms that are in both the numerator and denominator

50+ 108x/4

50+ 27x

Rearrange terms

50 + 27x

27x +50

=27x+50

Answer:

Step-by-step explanation:

what is the mean of 21,23,19,23,and 21?

Find the sum of the values by adding them all up. Divide the sum by the number of values in the data set.

(21+23+19+23+21) : 5 =

107 : 5 =

21.4 (or 107/5)

The variables a and b have a possible value of 7 and 11

The given parameters are

GCF(a, b)• LCM (a, b) = 77

As a general rule, the product of two numbers equals the product of the greatest common factor and the least common multiple of the numbers

This implies that

a * b = GCF(a, b)• LCM (a, b)

So, we have

a * b = 77

Express 77 as 7 * 11

a * b = 7 * 11

By comparison, we have

a = 7 and b = 11

Hence, the possible values are a = 7 and b = 11

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By using exponent properties, we can see that the equivalent expressions are:

[tex]5*\sqrt{n^4} = 5*n^2[/tex]

Here we need to use some rules for exponents and roots. Remember that:

[tex]\sqrt[n]{x} = x^{1/n}[/tex]

We also will use that:

[tex](a^n)^m = a^{n*m}[/tex]

Now we have the following expression:

[tex]5*\sqrt{n^4}[/tex]

Particularly, the square root is equivalent to an exponent of 1/2, then we can write:

[tex]5*\sqrt{n^4} = 5*(n^4)^{1/2}[/tex]

Using the second property we can rewrite:

[tex]5*(n^4)^{1/2} = 5*n^{4*1/2} = 5*n^2[/tex]

So the equivalent expressions are:

[tex]5*\sqrt{n^4} = 5*n^2[/tex]

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Answer:

y=2x

Step-by-step explanation:

hope this helps

:) :3

∠K , ∠1 and ∠JKL  are the three names of the angle 1 indicated by red color in the figure given in the question.

We need to select three names of the angle 1 indicated by red color in the figure given in the question . We are provided with the following options ∠JLK , ∠K , ∠LJK , ∠1 , ∠JKL and ∠J .  

∠JLK is not similar to ∠1 .  ∠K and  ∠1  are same angle. ∠LJK is not similar to ∠1 . ∠JKL and  ∠1  are same angle.  ∠J and ∠1 are different angles. So, we can finally conclude that the three names of the angle 1 indicated by red color in the figure given in the question are ∠K , ∠1 and ∠JKL .

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The straight line y-1=-1/3(x-2) is perpendicular to y = 3x + 2 .

The common form for two-variable linear equations is Ax + By = C which is also the general form of a straight line.

For instance, the linear equation 6x+5y=11 uses standard form. Finding an equation's two intercepts (x and y) is fairly straightforward with this procedure.

The cartesian equation for a straight line is Y = mx + c, where m stands for the gradient or slope of the line and c for the point at which it intersects the y-axis.

If two geometrical objects cross at a right angle, they are perpendicular.

We know that when two line are perpendicular the product of their respective slopes equal to -1.

Now in the given options let us find the slope of each line.

a) y-1=1/3 (x-2)

slope = 1/3

b) y-1=3(x-2)

slope = 3

c) y-1=-1/3(x-2)

slope = -1/3

d) y-1=-3(x-2)

slope = -3

Therefore the slope of the third equation is the negative reciprocal of the slope of the given line.

Hence y-1=-1/3(x-2) is perpendicular to y = 3x + 2 .

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