A new car is priced at £7500.
In a sale it is reduced by 20%.
Calculate the reduction in price.

Algorithms are mathematical formulas placed in software that performs an analysis on a data set.

Therefore, algorithms are mathematical formulas placed in software that performs an analysis of a data set.

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Answer:You have it right I think

2.46*10^6

Step-by-step explanation:

Because you move the decimal point over 6 spots which gives you the 10 to the sixth.

Answer Seven hundred and thirty thousand eight hundred twelve

Answer:

9y^2 + 9x - 18 or 9(y^2 + x - 2)

Step-by-step explanation:

9(y^2+x)=18

9y^2 + 9x=18

9y^2 + 9x - 18 = 0

9(y^2 + x - 2) = 0

Answer:

The x is 2 and the y is 1. So, it's 1/2

Step-by-step explanation:

x = 2

y = 1

Slope goes y,x,

Answer:

The function is odd.

Step-by-step explanation:

A function is always odd when f(−x) = −f(x). In this case, that rule applies.

[tex]-f(x)=-(x^3+5/x)\\-f(x)=-x^3-5/x\\-x^3-5/x=-x^3-5/x = odd[/tex]

The second equation is 3x + y = 2.

Let the other equation be of the form ax + by = c, where a, b and c are constants.

Given equation is 2x + y = 0

We have, a₁ = 2 and a₂ = 1

And b₁ = a and b₂ = b

Since, both equations have a unique solution,

∴ a₁ ÷ b₁ ≠ a₂ ÷ b₂

2 ÷ a ≠ 1 ÷ b

2b ≠ a                                               … (1)

Also, (2, -4) is the solution of the equations, so it will satisfy the equations

2a - 4b = c

b = (2a - c)/4

Let c=2

b = (2a - 2) ÷ 4

b = 1

Now we can take any value for a and b which satisfy eq.(1)

Let a=3

b = (2(3) - 2) ÷ 4

b = 1

Thus, a = 3 and b=1 satisfy eq.(1)

Hence the second equation is 3x + y = 2

The equations are justified by keeping the values -

2x+y=0                               ... (2)

3x+y=2                             ... (3)

From eq.(2),

y=-2x

Putting value of y in eq. (3), we get,

3x+(-2x)=2

3x-2x=2

x=2

Now, putting x=2 in eq.(2)

2(2)+y=0

y=-4

Hence, the solution is justified.

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Answer:

300

Step-by-step explanation:

5 or more raise the score 4 or less let it rest basically 5 or more up 4 or less down

Check the picture below.

Answer:

-3 X (x^2 - 8)

Step-by-step explanation:

put "the square of a number decreased by 8" in parentheses so when -3 is multiplied with that, it does not get multiplied with y^2 and -8.

anytime you see "a number" in a sentence, put it as a random variable, in this case, I decided it should be "x".

Answer:

w = [tex]\frac{p -2l}{2}[/tex]

Step-by-step explanation:

p = 2l + 2w  Subtract 2l from both sides of the equation

p - 2l = 2p  Divide both sides by 2

[tex]\frac{p -2l}{2}[/tex] = w

Answer: 4! Terms are numbers with letters, letters, or simple numbers in an equation! Hope this helps!

Answer:

4

Step-by-step explanation:

The numbers count as terms, but anything else doesn't

The magnitude of the vector is 10√2 and the direction of the vector is 78.69°

Magnitude and the direction of the vectors:

A vector is a directed line segment with an initial point and a terminal point.

To calculate the magnitude of the vector using the Pythagorean Theorem or the distance formula, and to find its direction using the inverse tangent function.

The formula for the magnitude of the vector is

|v|=√(a²+b²)

And the formula for the direction of the vector is,

θ=tan⁻¹(b/a)

where

(a, b) represents the given point.

Given,

Vector u,

Magnitude = 10 in

Direction angle = 45°

Vector v,

Magnitude = 10 in

Direction angle = 225°

Now we have to find the magnitude by apply the value on it,

=> |v|=√(10² + 10²)

=> |v|=√(100 + 100)

=> |v|=√200

=> |v|=√2 x 100

=> |v|=10√2

Similarly, the direction of the vector is,

=> θ = tan⁻¹ (225 / 45)

=> θ = tan⁻¹ (5)

=> θ = 78.69°

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Answer:30x0

Step-by-step explanation:

Answer:

You would start at 3 and then go backwords till the end.

So you'd choose the 3 option. <-o

Only use the filled in o if the equation is <_ with the line underneath, if its like < then its o

Hope this helps! <3

Answer: He must save $52 per month

Step-by-step explanation: 240-32= 208/4= 52

Answer:

Step-by-step explanation:

The number = x

Three more than the number = x + 3

twice the number = 2x

which means:

          2x + 3 < -13

          2x + 3 -3 < -13 -3                 (subtract 3 from both sides)

          2x < -16

          2x/2 < -16/2                       (divide 2 from both sides)

          x < -8

Answer:

2 Tablespoons make 4 cups. Popcorn pops to 40 times its original size. One ounce. 2 Tablespoons of kernels makes about 4 cups of popcorn. Four cups of popcorn have 125 calories :))

Authors note:

I really hoped this helped! :)))

Answer:

8.97 x [tex]10^{6}[/tex]

Step-by-step explanation:

To add in scientific notation, the exponents need to be the same for the bases of 10.  You can either make them both to the exponent of 6 or 5.  It does not matter.  I made them both to the power of 5

(8.6 x [tex]10^{6}[/tex]) + (3.7 x [tex]10^{5}[/tex])

(86 x [tex]10^{5}[/tex]) + (3.7x[tex]10^{5}[/tex])  

(86 x 3.7) x [tex]10^{5}[/tex]

89.7 x[tex]10^{5}[/tex]  Rewrite in scientific notation

8.97 x [tex]10^{6}[/tex]

Answer:

37.5

Step-by-step explanation:

Answer: 37.5

Step-by-step explanation:

12.5% of 300=37.5

Answer:

1/2

Step-by-step explanation:

Z = 1.00, z-score is associated with this value.

Why is z-score important?

What Is a Z-Score?

one std dev to the right

so, Z = 1.00

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The complete question is?

Converting to z-Scores Conceptual Overview: Explore how an original or "raw" score can be expressed as a 7-score using the mean and standard deviation of the variable. The dot plot below shows the sizes for five classes with a mean of 44 and standard deviation of 8. The dynamic equation shows the mathematical conversion to z-scores in real-time. Drag the vertical line to see the corresponding 2-score for each possible class size. 2 42-44 = 8 -0.25 s x = 42 32 54 mean x = 44 z = -0.25 -1.50 0.25 1.24 mean z=0 Created by Gary H. McClelland, Professor Emeritus University of Colorado Boulder Cengage Learning. All Rights Reserved 1. Make sure the green line is on the mean value of x = 44. Next, move the green line one standard deviation to the right. What z-score is associated with this value?

Answer:

The Cobras

Step-by-step explanation:

I just took the test

Answer:the Cobras

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

x = 3

Step-by-step explanation:

Since both have f(x), the substitution method can be used.

1. f(x) = -3x - 1

2. f(x) = -10

Therefore,

-3x - 1 = -10

Flip to positive to calculate more easily since all are negative (although, this is optional.)

3x + 1 = 10

3x + 1 - 1 = 10 - 1 (to make one side x and other side number)

3x = 9

x = 3

Hope this helped! ^^

The probability that they will have an ab/ab child is 5%

Probability is how likely an event is to happen. It is measured by the ratio of the number of good cases to the total number of cases that could happen.

ab/ab (female) x ab/ab (male)

Possible alleles: [Find the alleles of the parents first, because the rest can be mixed]

AB (parental)

ab (parental)

Ab (recombinant)

aB (recombinant)

The m.u. tells us that recombinant alleles happen 10% of the time. If a child is (Ab/ab), then (ab) would come from the father, and (Ab) would come from the mother.

Given the mother has allele ab/ab looking at probabilities there is 50%chance that the child will inherit the allele and a 10% chance for the recombination to happen.

P(ab/ab)= (50%) (10%) = 5%

hence the answer is 5%

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Answer:

9(9b+2)

Step-by-step explanation:

The words 'the sum of mean parenthesis.

And so 9 would be outside the parenthesis, then 9b and 2 would be inside.

Answer:

The value of 1 tenth is less than the value of 1 ten

Step-by-step explanation:

1 tenth = 0.1
1 ten = 10

0.1 is way less than 10 so that is why 3 x 1/10 is less than 3 x 10. Even though the 3 is the same, 1/10 is less than 10 so that is why 3 x 1/10 has less value.