Solve d=a+c/ac for a

Answer:

see below

Step-by-step explanation:

Small bag

95p / 250 g * 12/12 to get to 3 kg = 1140 p / 3000g =11.40£s/ 3 kgs

Medium bag

1.8£  / 500 g * 6/6 to get to 3 kg = 10.8£ / 3000g =10.80£/ 3 kgs

Large bag

3.7£  / 3 kg *

Answer:

fg(x) = 3x² + 1

Step-by-step explanation:

fg(x)

f(3x² - 1)

(3x² - 1) + 2

3x² + 1

The value of the required function is \((3x^{3} + 6x^{2} - x - 2)\).

A function represents the relation between two sets. The first one is called domain and the second one is called range.

Two given functions are:

\(f(x) = x + 2 \\g(x) = 3x^{2} - 1\)

Therefore the required function,

\((fg)(x)= f(x)g(x) \\= (3x^{2} - 1)(x + 2)\\= 3x^{3} - x + 6x^{2} - 2\\ = 3x^{3} + 6x^{2} - x - 2\)

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Answer: there are total 100,000 5-digit PINs.

Three Possible outcomes          Associated X values

            12345                                        5

            04555                                        4

            00001                                          1

Step-by-step explanation:

Here,  X = the number of nonzero digits in a randomly selected 5-digit PIN that has no restriction on the digits.

Possible number of outcomes = 10 x 10 x 10 x 10 x 10

= 100,000

Possible outcomes          Associated X values

12345                                        5

04555                                        4

00001                                            1

Hence, there are total 100,000 5-digit PINs.

Three Possible outcomes          Associated X values

            12345                                        5

            04555                                        4

            00001                                          1

Answer:

2.2360679774998

mean-7

Step-by-step explanation:

Answer:

The mean is going to be 7 and the standard deviation is 2.5819

Step-by-step explanation:

The mean is every number added together then divided by the number of numbers present.

4+6+8+10= 28

There are 4 numbers so divide 28 by 4 and you get 7.

I hope this helps you.

Answer:

solution given:

let's see only in a right-angled triangle Δ ACD.

AC=3 units

AD=5 units

since Δ ACD is a right-angled triangle. It satisfies Pythagoras law

\(AD^{2}=AC^{2}+CD^{2}\)

25=9+\(CD^2\)

\(CD^2\)=25-9=16

\(CD=\sqrt{16} =4 units\)

Now

Area of rectangle Δ ACD=\(\frac{1}{2} CD*AC=\frac{1}{2}*4*3=6\: square \:units\)

similarly,

\(\frac{1}{2} AD*CE=6\: square \:units\\ 5*CE=6*2\\CE=\frac{12}{5}=2.4 units\)

since AB=CE=2.4 units

Δ ACE is a right-angled triangle. It satisfies Pythagoras law.

\(AC^{2}=AE^{2}+CE^{2}\\3^2=AE^2+2.4^2\\9-5.76=AE^2\\AE and BC=\sqrt{1.24} =1.11 units\)

now

area of trapezoid=area ofΔACD+Area of ΔABC

=6+\(\frac{1}{2}AB*BC=6+\frac{1}{2}*2.4*1.11=6+1.33 =7.33\: square \:units\)

Answer:34,000

Step-by-step explanation:

Answer:

its 34,000 because it below 5

Step-by-step explanation:

brainliest please

Answer:

\(6\sqrt{3}\)

Step-by-step explanation:

because of the 90-60-30 theorem

which \(6*\sqrt{3}=6\sqrt{3}\)

Answer:

c

Step-by-step explanation:

The like terms are listed as follows:

-y, 7y and y/2.

Like terms are terms that share these two features:

If two terms are like terms, then they can be either added or subtracted.

Hence the first option is the only option in which all the three terms are like terms, as:

The remaining options have terms with different letters(second and third), or different exponents (fourth), hence they are not like terms.

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Answer:

Answer = 25 miles

Step-by-step explanation:

We can make an equation based off of this information in the form of 4.25x+4=110.25. When we solve for x we find that it equals 25.

Hope that helps! :)

Answer:

top left graph

Step-by-step explanation:

The function is not defined for negative x.

Also, the range should not include positive numbers.

So, the answer is the top left graph.

By using some logic and the formula of the triangle's area, we will find that the smallest possible area is 12.5 cm²

How to start thinking about the problem.

First of all, for the configuration of this paper strip, we can see that the base of the triangle will always be equal of the width of the paper. Thus, the smallest area will be only dependent of the height of the triangle.

Now, we need to analyze the picture to figure out how we can get the smallest height possible for that triangle.

What is the smallest height possible.

Doing this, we shall see that the smallest height possible is actually when the height equals the width itself, as it's shown in the attached image.

How to calculate the smallest area possible.

Thus, to calculate the smallest area, we just have to use the formula of the area of the triangle, which is   \(\frac{b\times h}{2} \), where b is the base and h is the height.

As we previously found, for this question, the

base = height = width of the paper = 5cm

Now, we just have to calculate it with the formula

\(Area = \frac{base \times height}{2} \\\\ \\ Area = \frac{5 \times 5}{2} \\ \\ Area = \frac{25}{2}\\ \\ Area = 12.5 cm^{2} \)

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(9) The slope of a line perpendicular to the line, f(x) = 0.75x + 6 is - 4/3.

(10) The slope of a line parallel to this line, y = 10 -8x is -8.

The slope of a line perpendicular to the line is the negative reciprocal of the slope of the line equation.

Question 9.

f(x) = 0.75x + 6

where;

The slope of a line perpendicular to this line = -1/0.75 = -100/75 = -4/3

Question 10.

For the equation of another line, y = 10 - 8x

The slope of a line parallel to this line is equal to the slope of this line and it is calculated as follows;

y = 10 - 8x

where;

slope of a line parallel to the line = -8

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The equations which represent circles that have a diameter of 12 units and a center that lies on the y-axis include the following:

(x - 0)² + (y - 3)² = 36

(x - 0)² + (y + 8)² = 36

Mathematically, the standard form of the equation of a circle is given by;

(x - h)² + (y - k)² = r²

Where:

Since the circle has a diameter of 12 units, the radius would be calculated as follows:

Radius, r = diameter/2

Radius, r = 12/2

Radius, r = 6 units.

Also, when the center of this circle lies on the y-axis, it simply means the value of h is zero (0). Therefore, the equations of these circle at points (0, 3) and (0, -8) are given by;

(x - h)² + (y - k)² = r²

(x - 0)² + (y - 3)² = 6²

(x - 0)² + (y - 3)² = 36

(x - h)² + (y - k)² = r²

(x - 0)² + (y - (-8))² = 6²

(x - 0)² + (y + 8)² = 36

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Answer: X^2 - 9 can be factored into (X - 3)(X + 3) which is the difference of squares.

The difference of squares factorization of X^2 - 9 is (X - 3)(X + 3)

Step-by-step explanation:

Answer:C

Step-by-step explana/

Answer:

mememememwmwnwmwnwnwjkwjw

Answer:

The value of x is 5 & y is 0.

Step-by-step explanation:

x - y = 5

x = 5 + y -----------> (1)

3x + 2y = 15

By substituting the value of 'x' from (1)

3 (5 + y) + 2y = 15

15 + 3y + 2y = 15

3y + 2y = 15 - 15

5y = 0

y = 0/5

y = 0

So, in (1)

x = 5 + y

x = 5 + (0)

x = 5

•°• The value of x is 5 & y is 0.

Method used:

__________________

Hope it helps!

\(\mathfrak{Lucazz}\)

Answer:

12 feet

Step-by-step explanation:

4 times 3 is 12 and that is how u find area I think

Answer:

a = 4

Step-by-step explanation:

24a+14=6(8a+3)-26a+4

24a+14 = 48a+18-26a+4

24a-48a+26a = 18+4-14

2a = 8

a = 4

The equation 7−10x+5x=6+1−5x is an identity, as it simplifies to 7 = 7 and is true for all values of  x.

Let's simplify the given equation:

7−10x+5x=6+1−5x

Combine like terms on both sides:

7-5x=7-5x

Now, add 5x from both sides:

7-5x+5x=7-5x+5x

7=7

The equation simplifies to 7=7, which means both sides are equal.

This equation is an identity because it is true for all values of x.

Hence, the given equation 7−10x+5x=6+1−5x is an identity, as it simplifies to 7 = 7 and is true for all values of  x.

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The property you are referring to is called the associative property of multiplication. According to this property, when multiplying three numbers, the grouping of the numbers does not affect the result. In other words, you can change the grouping of the factors without changing the product.

In the equation you provided: 3x(5x7) = (3x5)7

The associative property allows us to group the factors in different ways without changing the result. So, whether we multiply 5 and 7 first, or multiply 3 and 5 first, the final product will be the same.

The set containing all the colors of the marbles is given as follows:

{blue, yellow, purple, green, pink}.

A set of elements is composed by elements that respect a given characteristic, or are present in an experiment.

In this problem, we need to find the colors present in each marble, which are given as follows:

Then we have to list all these colors in a set, which are opened and closed by the brackets {}.

The color blue appears in both sets, however, it will appear only once in the set of the colors, as the elements are not repeated.

Thus, the set containing all the colors of the marbles is given by the set presented as follows:

{blue, yellow, purple, green, pink}.

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Answer: (√2)(2) = 2√2

Step-by-step explanation:

To simplify the expression 3√2 - √2, you can factor out the common term √2:

3√2 - √2 = (√2)(3 - 1)

Now, subtract the numbers in parentheses:

(3 - 1) = 2

(√2)(2) = 2√2

9514 1404 393

Answer:

Step-by-step explanation:

Consider the answer choices.

  3 & 5: product 15, sum 8 . . . . product > sum

  2 & 2: product 4, sum 4 . . . . product = sum (not >)

  1 & 4: product 4, sum 5 . . . . product < sum (not >)

Of the offered choices there are two counter examples:

  2 and 2

  1 and 4

_____

Additional comment

Chances are that the preferred answer is 1 and 4.

1 and <anything> will be a counterexample.

The equation of the line with slope 1/3 and y-intercept as -1 is y = x/3-1 in slope-intercept form.

According to the question,

We have the following information:

Slope of the line = 1/3

We know that the slope of the line is denoted by m.

y-intercept of the line = -1

We know that the y-intercept is denoted by b.

We have the following equation for the line in slope-intercept form:

y = mx+b

Putting the above values in this equation:

y = x/3-1

Hence, the equation of the line with slope 1/3 and y-intercept as -1 is y = x/3-1 in slope-intercept form.

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Answer:

- Surveyors

- developers of the GPS system

Step-by-step explanation:

Find the tangent vector T to the given line (t) = 〈 x(t), y(t), z(t) 〉, with parametric equations,

x(t) = -1 + 3t

y(t) = 6 - 3t

z(t) = 3 + 7t

by differentiating (t) component-wise:

T = '(t) = 〈 dx(t)/dt, dy(t)/dt, dz(t)/dt 〉

T = 〈3, -3, 7〉

Scale T by any real number t to get the line through the origin (when t = 0) and the point (3, -3, 7) (when t = 1), which of course runs parallel to '(t). This gives the vector tT. Translate this by any vector v = 〈a, b, c〉 to force this line to pass through the point (a, b, c) instead of the origin, while still remaining parallel. You want the new line to pass through (0, 11, -9), so take v = 〈0, 11, -9〉.

Then the vector equation of the new line is

tT + v = t 〈3, -3, 7〉 + 〈0, 11, -9〉 = 〈3t, 11 - 3t, -9 + 7t〉

with parametric equations

x(t) = 3t

y(t) = 11 - 3t

z(t) = -9 + 7t

The probability of an adult having hypertension is  0.344 and an adult having hypertension and being classified as a low level of obesity is 0.102, having hypertension given he/she is classified as a high level of obesity is 0.540. If an adult has hypertension, the probability that he/she also has a high level of obesity is  0.444.

Probability is a branch of mathematics that deals with the likelihood of an event occurring. It is the measure of the likelihood of an event occurring divided by the number of possible outcomes. Probability is used to determine the chances of a particular outcome occurring and can range from 0 to 1.

a)The probability of an adult having hypertension is (34 + 30 + 51) / (34 + 30 + 51 + 119 + 99 + 82) = 115 / 334 = 0.344.

b) The probability of an adult having hypertension and being classified as a low level of obesity is 34 / (34 + 30 + 51 + 119 + 99 + 82) = 34 / 334 = 0.102.

c) The probability of an adult having hypertension given he/she is classified as a high level of obesity is 51 / (30 + 51 + 82) = 51 / 163 = 0.312.

d) The probability of an adult being classified as a high or average level of obesity is (30 + 51 + 99) / (34 + 30 + 51 + 119 + 99 + 82) = 180 / 334 = 0.540.

e) If an adult has hypertension, the probability that he/she also has a high level of obesity is 51 / (34 + 30 + 51) = 51 / 115 = 0.444.

f) No, an adult's hypertension status and obesity categorization are not independent. This is because the probability of an adult having hypertension given he/she is classified as a high level of obesity (0.312) is not the same as the probability of an adult having hypertension (0.344).

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Answer:

5cm^3

Step-by-step explanation: