If ac = 57 find the measure of ab

9
30
6
27

Recall that, in a point (a,b), the first entry represents the x-entry, and the second entry represents the y-entry, and its graph is as follows:

Therefore, the graph of the given relation is:

Answer:

If a 1/3 cup serving of cheese provides your full daily value of calcium, then 225% of your daily value of calcium is provided by ¾ cup of the cheese.

Between amounts of the same sort, the ratio should exist. The units used to compare two items should be comparable.

Terms should be in a meaningful sequence. If two ratios are comparable to one another like fractions,  they may be compared.

When both sides are whole numbers and cannot be split by another

whole number, a ratio is considered to be in its simplest form.

Think about full number ratios, such as 6:4. The fraction 64 can be used to represent it.

Daily value of calcium= (3/4)/(1/3) = 9/4

3/4 cup gives you 9/4 of your daily value of calcium.

We can convert fractions to percentages, we will get

9/4= 2.25

2.25*100=225%

Then the percentage of your daily value of calcium is 225%.

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The probability of an adult being unemployed given that they are actively looking for a job is 0.22.

It should be noted that probability gas to do with the likelihood that something will occur.

Remember the multiplication rule for conditional probability:

P(B AND A)=P(B|A)P(A)

Rearranging, we see thatP(B|A)=P(B AND A)P(A)

So if we think of A as being the event that an adult is actively looking for a job and B as the event that an adult is unemployed, then we can plug in the known information to find

P(B|A)=0.04 + 0.18

≈0.22

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Answer: A

Step-by-step explanation:

Answer:

A. 2

Step-by-step explanation:

Hope this helps

The values are;

f (x + h) = x² + 2xh + h² + 6x + 6h + 7

f (x + h) - f (x) = h² + 2xh + 6h

f (x + h) - f (x) / h = h + 2x + 6

What is substitution method?

Find the value of any one of the variables from one equation in terms of the other variable is called the substitution method.

Given that;

The value of the function is;

f (x) = x² + 6x + 7

Now, Find the given values of f (x + h) , f (x + h) - f (x) and f (x + h) - f (x) / h by substitution method.

The value of the function is;

f (x) = x² + 6x + 7

Substitute x = x + h;

The value of the function is;

f (x + h) = (x + h)² + 6(x + h) + 7

           = x² + 2xh + h² + 6x + 6h + 7

Thus, The value of f (x + h) =  x² + 2xh + h² + 6x + 6h + 7.

Now,

f (x + h) - f (x) = (x² + 2xh + h² + 6x + 6h + 7) - (x² + 6x + 7)

                   = x² + 2xh + h² + 6x + 6h + 7 - x² - 6x - 7

                   = h² + 2xh + 6h

Thus, The value of f (x + h) - f (x) = h² + 2xh + 6h.

Now,

f (x + h) - f (x) / h =  h² + 2xh + 6h / h

                         = h (h + 2x + 6) / h

                         = h + 2x + 6

Thus, The value of f (x + h) - f (x) / h =  h + 2x + 6.

Therefore, The values are;

f (x + h) = x² + 2xh + h² + 6x + 6h + 7

f (x + h) - f (x) = h² + 2xh + 6h

f (x + h) - f (x) / h = h + 2x + 6

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given:

There are given that the Borrowed is $30000.

Explanation:

To find the monthly amount, we need to use the formula:

Where,

Ans,

Then,

From the formula:

Final answer:

Hence, the monthly payment is $725 and the interest will be: $4800

The percentage of area covered by the conference room is 5%.

A region's size on a flat or curved surface is expressed in terms of area, a unit of measurement. A surface region or plane area is the area of an open surface or the boundary of a three-dimensional object, whereas a plane region or area refers to the area of a form or planar lamina.

The quantity of unit squares necessary to completely encompass a form is its area. In order to express and measure it, square units are used.

Given, the dimension of office as

Length= 250 ft and breadth is 80 ft

Area of office = length ×breadth = 250 ×80 = 20,000

Length of conference room = 50 ft

Breadth of conference room = 20 ft

Area = 50 (20) = 1000

Percentage of office covered by conference room is given as:

1000/20000×100=5

Hence, 5% is occupied

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Answer:

Step-by-step explanation:

d

Given:

Solve:

Use l'hopital's rule:

Simplify:

Apply the constant multiple rule:

Similary :

the sum of the internal angles of a quadrilateral is 360, therefore:

so

mm

mm

The rule of (x, y) → (-x, y), which is reflection over y-axis.

Given that, ΔABC maps to triangle ΔA'B'C'.

When you reflect a point across the y-axis, the y-coordinate remains the same, but the x-coordinate is taken to be the additive inverse. The reflection of point (x, y) across the y-axis is (-x, y).

The coordinate points of ΔABC are A(-4, 3), B(-3, -3) and C(1, 2) and the coordinate points of ΔA'B'C' are A'(4, 3), B'(3, -3) and C'(-1, 2).

Here, A(-4, 3) → A'(4, 3), x-coordinate is negated and y-coordinate remains same.

Similarly, B(-3, -3) → B'(3, -3) and C(1, 2) → C'(-1, 2) follows the same pattern.

From this, it is clear that the coordinates of triangle ABC is reflected on y-axis.

Therefore, the rule of (x, y) → (-x, y), which is reflection over y-axis.

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The three angles of the triangle are 22.5, 67.5 and 90 degrees.

A triangle is a polygon with three sides.

The sum of angles in a triangle is 180 degrees.

Therefore, the angles of the triangle can be found as follows;

In the triangle one angle is three times the smallest angle and the third angle is 45 more than twice the smallest angle.

Therefore,

let the smallest angle = x

Therefore, the three angles are as follows;

Therefore,

x + 3x + 45 + 2x = 180

6x + 45 = 180

6x = 180 - 45

6x = 135

divide both sides by 6

x = 135 / 6

x = 22.5

Therefore, the three angles are as follows;

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The restaurant charger a tip of the 18% of the bill

So the total amount charged is the money spent + 18%

The bill had a tip of $3.20 this is the 18% of the amount spent.

Using cross multiplication you can calculate the amount of the bill as:

Bill without tip: 100%

Tip: 18%

Total amount (bill + tip): 118%

If 18% ____ $3.20

Then 118%___$x

Move ten units to the left of point W.

1) Counting the marks on the number line, we can tell that Selwyn placed point V 5 units to the right of zero.

2) Since we need to find the opposite number, we need to find the negative 5 ( -5). Hence, we need to:

Move ten units to the left of point W.

Because we need to remember that the reference is not zero but W.

Answer: 12 oz

Step-by-step explanation:

Answer: 12

Step-by-step explanation:

Answer:

x=13

Step-by-step explanation:

We add all the numbers together, and all the variables

6x-78

We move all terms containing x to the left, and all other terms to the right

6x=78

x=78/6

which should equal 13

Consider the traingle ABD,

The side AB and A are equal means that angle A is equal to angle D.

Determine the angle B of traingle ABD by using angle sum property of triangle.

So angle D is of 48 degree and two sides are equal so isoceles traingle theorem is used for angle measurement. Option C is correct.

Answer:

The remainder is [tex]4[/tex].

The quotient is [tex]3x^{2}+6x+1[/tex]

Step-by-step explanation:

Step 1: Do long division

To divide these expressions, we will have to make use of long division, which is shown in the picture.

Step 2: Identifying the remainder and quotient

The remainder is [tex]4[/tex].

The quotient is [tex]3x^{2}+6x+1[/tex]

For the given function, it is found that:

The extreme points of a function happen at the values for x for which the first derivative is zero, that is:

y' = 0.

In this problem, the function is:

y = x³ - 6x² + 9x.

Hence the first derivative is:

3x² - 12x + 9.

The extreme values of x are:

3x² - 12x + 9 = 0.

3(x² - 4x + 3) = 0

x² - 4x + 3 = 0

(x - 3)(x - 1) = 0.

Then:

The numeric value of the function at these points is:

Hence the points are:

(3,3) and (1,7).

The extreme points of a function happen at the values for x for which the second derivative is zero, that is:

y'' = 0.

For this problem, the second derivative is given by:

y'' = 6x - 12.

Hence the x-coordinate of the inflection point is:

6x - 12 = 0

6x = 12

x = 2.

The numeric value at x = 2 is:

2³ - 6(2)² + 9(2) + 3 = 5.

Then the inflection point is:

(2,5).

The graph with these points labeled is given at the end of the answer.

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The probability that he selects a Mel given that he chooses randomly from only the Juniors is 0.076.

It should be noted that the probability is the likelihood that something will happen. The table shows that Connor's physics class has 105 students, classified by academic year and gender.

The probability will be:

Fraction of males that are junior / Fraction if Junior

= 8/105 / 19/105

= 0.076

The probability is 0.076.

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What is the probability that he selects a Mel given that he chooses randomly from only the Juniors.

To find the nth degree of polynomial function f(x) = x^4 - 4x^3 + 27x^2 -46x +60

What is Function?

Each element of X receives exactly one element of Y when a function from one set to the other is used. The sets X and Y are collectively referred to as the function's domain and codomain, respectively.

For polynomial with real coefficients, the complex zeros come with conjugates so 2+4i must come with 2-4i , then for 4th degree polynomial  

f(x) =a (x+1)(x-3)(x-2-4i)(x-2+4i). With given f(1)=-68

a(1+1)(1-3)(1-2-4i)(1-2+4i)= -68.

By this we can find a

a (2)(-2)(-1-4i)(-1+4i) = -68

a(-4)(1+4i-4i-16i^2) = -68

a(-4)(1+16) = -68

a(-4)(17) = -68

a(-68) = -68

a = 1

Now, solving

f(x) =(x+1)(x-3)(x-2-4i)(x-2+4i)

f(x) = (x+1)(x-3)(x^2 - 2x + 20)

f(x) = (x^2 - 2x - 3)(x^2 - 2x + 20)

f(x) = x^4 - 2x^3 + 20x^2 - 2x^3 + 4x^2 - 40x + 3x - 6x + 60

f(x) = x^4 - 4x^3 + 27x^2 -46x +60

Hence, the for 4th degree polynomial  is f(x) = x^4 - 4x^3 + 27x^2 -46x +60

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Answer:

The formula for the distributive property is expressed as, a × (b + c) = (a × b) + (a × c );

Step-by-step explanation:

6(11-3) = 4(7 + 5)

(6×11)-(6×3)=(4×7)+(4×5)

66 - 18 = 28 + 20

the correct answer is A. Option A describes a rotation of 180 degrees clockwise, which would result in figure 1 being upside down, and then a translation of 2 units to the left.

What is triangle?

A triangle is a three-sided polygon with three angles. It is a fundamental geometric shape and is often used in geometry and trigonometry.

To transform figure 1 into figure 3, we need to apply two transformations. We can eliminate option B because a rotation of 90 degrees followed by a reflection across the x-axis would transform figure 1 into a mirror image of figure 2, not figure 3.

Option A describes a rotation of 180 degrees clockwise, which would result in figure 1 being upside down, and then a translation of 2 units to the left. This would transform figure 1 into figure 3, so option A is a possible sequence of transformations.

Option C describes a rotation of 180 degrees clockwise followed by a reflection across the y-axis. This would transform figure 1 into a mirror image of figure 2, not figure 3.

Option D describes a rotation of 90 degrees clockwise followed by a translation of 3 units to the right. This would transform figure 1 into a position that is similar to figure 3, but the orientation of the triangle would be different.

Therefore, the correct answer is A.

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Answer:

The answer is 19,000

Step-by-step explanation:

18,792 you round to the thousand which is 8 and the number after is 7 which is above 5 so the 8 turns into a 9

Answer:

19000

Step-by-step explanation:

18,792

Rounding to the nearest thousand

The 8 is in the thousands place

We look at the number in the hundreds place, 7

It is 5 or higher so we will round the 8 up to 9 and everything else to the right will become zeros

18,792 becomes 19000

The cost of DVD = $16.99

The list price of this DVD was $18.75

So, the discount =

And the percent discount =

Rounding the answer to the nearest tenth

So, the answer will be : the percent discount = 9.4%