Raj bought six 3-litre cans of sunflower oil.
He poured all the sunflower oil equally into 20 bottles.
What was the volume of sunflower oil in each bottle?

Answer:

It means that the -4 is one of the solutions for this polynomial. In other words, -4 is a point in the x axis of the graph where the function touches said axis.

The value of the polynomial at P(-4) will be 0.

A polynomial in mathematics is an expression made up of coefficients and indeterminates and involves only the operations of multiplication, addition, subtraction, and non-negative integer exponentiation of variables.

Given that the polynomial function is P(x) = x³ + 11x² + 34x + 24. The value of the function at P(-4) will be calculated as:-

P(x) = x³ + 11x² + 34x + 24

P(-4) = (-4)³ + 11(-4)² + 34(-4) + 24

P(-4) = -64 + 176 - 136 + 24

P(-4) = 200 - 200

P(-4) = 0

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The lines are neither, nor perpendicular

The equations of the lines are given as

5x + 2y = 14

y = -5x + 9

Make  y the subject in both equations

So, we have

y = -2.5x + 7

y = -5x + 9

The slopes of the above equations are

m1 = -2.5

m2 = -5

The above slopes are neither equal not opposite reciprocals

Hence, the lines are neither, nor perpendicular

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Answer: [tex]\frac{1}{\sqrt{2}}[/tex]

Step By Step Explanation:

[tex]=\frac{2\sqrt{2}}{2\cdot \:2}[/tex]

[tex]=\frac{\sqrt{2}}{2}[/tex]

[tex]=\frac{\sqrt{2}}{\sqrt{2}\sqrt{2}}[/tex]

[tex]=\frac{1}{\sqrt{2}}[/tex]

Answer:

8

Step-by-step explanation:

[tex]g(x)=3^2+2x-4=5+2x \\ \\ g(1.5)=5+2(1.5)=8[/tex]

Answer: 2,730

Step-by-step explanation:

Explained in mental math proccess:

In 455, the one value will be multiplied by 6. 5x6= 30.

In 455, the tens value will be multiplied by 6. 50x6= 300.

In 455, the hundreds value will be multipled by 6. 400x6= 2,400.

Find the sums of all products multiplied by 6. 30+300+2,400= 2,730.

455x6= 2,700

The equation solved for 'd' gives  d =  3f - g³/ 4h

The subject of a formula is defined as the variable expressed in terms of the other variables.

It is also the variable that is worked out in a given equation or expression;

Given the equation;

4hd = 3f - g³

To solve for 'd'

Divide both sides by the coefficients of d, we have;

4hd/ 4h =  3f - g³/ 4h

We then have

d =  3f - g³/ 4h

Thus, the equation solved for 'd' gives  d =  3f - g³/ 4h

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There will be roughly 12,000 bacteria after 12 hours.

So, there are 5300 bacteria  and it gets doubles in 10 hours:

Then,

Therefore, there will be roughly 12,000 bacteria after 12 hours.

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The value of the expression when z = 10 is 1000

The given parameters are

z = 10

z^3 - 3(z-10)

Substitute z = 10 in z^3 - 3(z-10)

So, we have

10^3 - 3(10-10)

Evaluate the expression

10^3 - 3(10-10) = 1000

hence, the value of the expression when z = 10 is 1000

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Answer: n=18

Step-by-step explanation:

f(n) = -3(n - 1); -51

-51=-3(n - 1)

-51/(-3)=-3(n - 1)/(-3)

n-1=17

n+1-1=17+1

n=17+1

n=18

The 2,722 to the nearest thousand is 3000.

In the given statement is :

What is 2,722 rounded to the nearest thousand

Number is => 2722

Hence, the 2,722 to the nearest thousand is 3000.

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The number of each type of vehicle sold are :

SUVs : 300

Passenger cars : 270

Number of SUVs were sold more than passenger cars = 30

Total number of cars sold = 540

Let the number of Passenger car sold = x

Then, The number of SUVs sold = x + 30

So, Total number of cars sold = Number of Passenger car sold + Number of SUVs sold

     540 = x + (x + 30)

2x + 30 = 540

       2x = 540

         x = 540/2

         x = 270

We got, the number of Passenger car sold (x) = 270

The number of SUV's sold = x + 30

The number of SUV's sold = 270 + 30 = 300

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Answer: -21

Step-by-step explanation:

x = -3 and y = -2

x²-5xy=

(-3)²-5(-3)(-2)=

9-5(-(-6))=

9-5(6)=

9-30=

-(30-9)=-21

Answer:

D) b/7 + 18 =16

Step-by-step explanation:

Let's solve your equation step-by-step.

b/7+18=16

Step 1: Simplify both sides of the equation.

1/7b+18=16

Step 2: Subtract 18 from both sides.

1/7b+18−18=16−18

1/7b=−2

Step 3: Multiply both sides by 7.

7*(1/7b)=(7)*(−2)

b=−14

Answer:

Answer = (2)n+(2)

Step-by-step explanation:

                    first difference = -2

                    Now,   -2 = -2 × (n) + (0)        if      n = 1          

                        or     -2 = -2 × (n) + (-6)      if       n = -2

                        or     -2 =  |-2| ×(n) + 2   ::::  -2 = 2n +2       if      n = -2

Answer:

36.5 is median Temperature for girls

Step-by-step explanation:

Let's first calculate the median Temperature for boys to show you how it is done;

Below are the Temperature, they are not in ascending order

37.0,36.1,37.1,37.3,36.3,36.4,36.7,36.7,36.7,35.8

Now let's arrange them in ascending order

35.8, 36.1, 36.3, 36.4, (36.7, 36.7, )36.7, 37.0, 37.1, 37.3

In the middle are 36.7 and 36.7 as seen in the bracket

to find median = 36.7+36.7/2

➟ 73.4/2

➟ 36.7

∴36.7 is median Temperature for boys

Now that I've shown you example with boys temperature let's go find the actual temperature which is girls

Below are temperature for girls

34.7,35.8,35.9,36.2,36.4,36.6,36.6,36.8,36.8,36.9

Let's arrange them in ascending order

34.7, 35.8, 35.9, 36.2,( 36.4, 36.6, )36.6, 36.8, 36.8, 36.9

In the middle are 36.4 and 36.6 as seen in the bracket

to find median = 36.4+36.6/2

➟ 73/2

➟ 36.5

∴36.5 is median Temperature for girls

Answer: y=6x−8

Step-by-step explanation:

From the given stem-and-leaf plot, we have that:

a) The maximum number of cups of coffee sold on a single day is of 78.

b) In 5 days, less than 60 cups were sold.

c) The average sales is of 65 cups of coffee a day.

The questions are missing, and they are given by the image at the end of the answer.

The stem-and-leaf plot lists all the measures in a data-set, with the first number as the key, for example:

4|5 = 45.

Considering the key in this problem, the measures(number of cups of coffee sold each day) are given as follows:

50, 52, 58, 59, 60, 63, 63, 65, 69, 69, 72, 75, 77, 78.

Hence:

a) The maximum number of cups of coffee sold on a single day is of 78.

b) In 5 days, less than 60 cups were sold.

The average of a data-set is given by the sum of all observations in the data-set divided by the number of observations, hence:

M = (50 + 52 + 58 + 59 + 60 + 63 + 63 + 65 + 69 + 69 + 72 + 75 + 77 + 78)/14 = 65.

The average sales is of 65 cups of coffee a day.

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To get a perfect square, the smallest number to be multiplied by 6300 is 7.

Multiplication is the process of calculating the result when a number is taken times. Each of the numbers is referred to as a factor of the product, which is the outcome of a multiplication.

Consider the number 6300 which can also be written as:

6300 = 2 × 2 × 3 × 3 × 5 × 5 × 7

Now, 2, 3, and 5 are in pairs. Only 7 is not in pair.

Now, we will multiply 6300 by 7.

Then,

6300 × 7 = 44100

Therefore, the number 44100 is the number that makes the perfect square.

Let's say x² = 44100,

Taking square root on each side of the equation:

x² = 44100

√x² = √44100

x = √[ 21 × 21 × 10 × 10 ]

x = 210

Therefore the smallest number by which 6300 is multiplied to get a perfect square is 7.

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Answer:

-23

Step-by-step explanation:

Just add left to right

The equation: 1/2 + 1/6 = 2/3

Is true.

Here we have the equation:

1/2 + 1/6 = 2/3

First, we need to find a common denominator for the two fractions, if we multiply and divide the first one by 3 we get:

(3/3)*(1/2) = 3/6

Replacing that in the equation:

3/6 + 1/6 = 2/3

4/6 = 2/3

Now we can simplify the fraction in the left by dividing both numerator and denominator by 2:

4/6 = 2/3

2/3 = 2/3

Thus, the equation is true.

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So the x of the vertex is -b/2a which is -6/-2 which is 3. -2*9+6*3+12 is 18+18+12 so the vertex is (3, 48). The vertical intercept is 12.

Answer:

$396.84

Step-by-step explanation:

To solve for this question, we can use the formula:

Cost of Paint per Gallon × Amount of Paint needed in Gallons

Cost = $29.95 per gallon x 13.25 gallon

= $396.84 (Rounded off to 2 decimal places)

Answer:

$396.84

Step-by-step explanation:

We can set up this equation

29.95*13.25

Multiply

396.8375

Round

$396.84

The length of the interval AB is 7.21 units.

Given,

From the graph we can have the triangle ABC.

Length of side AC = 6 - 2 = 4 units

Length of side BC = 7 - 1 = 6 units

We have to find the length of AB.

By using Pythagorean theorem we can determine the length of AB.

Hypotenuse² = Altitude² + Base²

AB² = AC² + BC²

AB² = 4² + 6²

AB² = 16 + 36

AB² = 52

AB = [tex]\sqrt{52}[/tex] = 7.21

That is, the length of the interval AB is 7.21 units.

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Answer: 79.02

Step-by-step explanation:

set present value to 0

set future value to 300000

set number of time periods to 35 * 12 = 420

set interest rate percent per time period to 10/12 = 0.833333.

Equation:

See attachment

Answer:

Exact Form: 43/8

Decimal Form: 5.375

Rounding to the Nearest whole number: 5