What is the product?
7•(-3)

Answer:

$115

Step-by-step explanation:

VAT = 15% of marked price

        = 0.15 * 100

        = $ 15

Price paid by the customer = 100 + 15

                                             = $ 115

__________________________

4x + 3y = 16

x = -3 / 4 y + 4

y = -4 / 3 x + 16 / 3

___________________________

y = x + 3

x = y - 3

y = x + 3

___________________________

Answer:

The length of BD is 65 units.

Step-by-step explanation:

ΔADC is a right angle triangle, we will use the Pythagorus Theorem to find the length CD.

Formula of the Pythagorus Theorem : 

⇒ a² + b² = c²

⇒ AD² + CD² = AC²

The value of AD is 54 and the value of AC is 90:

54² + CD² = 90²

Solve for CD:

54² + CD² = 90²

CD² = 90² - 54²

CD² = 5184

CD = √5184

CD = 72

ΔADC is also a right angle triangle, we will use the Pythagorus Theorem to find the length BD.

Formula of the Pythagorus Theorem : 

⇒ a² + b² = c²

⇒ BD² + CD² = BC²

The value of CD is 72 and the value of BC is 97:

BD² + 72² = 97²

Solve for BD:

BD² = 97² - 72²

BD² = 4225

BD = √4225

BD = 65

The transformation of f(x) to p(x) is that (a) the graph is reflected and shifted down

From the question, we have the following parameters that can be used in our computation:

The functions f(x) and g(x)

In the function equations, we can see that

f(x) = x²

p(x) = -f(x) - 3

So, we have

Vertical Difference = 0 - 3

Evaluate

Vertical Difference = - 3

This means that the transformation of f(x) to p(x) is that f(x) is reflected and shifted down 3 units to p(x).

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Answer:

The profit increases from day 0 to day 8 after the strawberries first ripen.

Step-by-step explanation:

A function is increasing when the slope is positive (y gets bigger as x gets bigger).

A function is decreasing when the slope is negative (y gets smaller as x gets bigger).

From inspection of the graph, we can see that the maximum point is (8, 6000), so the maximum profit of $6,000 occurs on day 8.

The slope of the curve is increasing as the curve approaches the maximum point, so the profit is increasing during this time period.

Therefore, the profit increases from day 0 to day 8 after the strawberries first ripen.

The slope of the curve is decreasing after the maximum point, so the profit is decreasing after 8 days.

The profit increases from 8 days after the first strawberries ripen.

Using the Chain Rule, we have: dy/dx = f'(g(x)) * g'(x) = 1 * 1 = 1.The derivative of y with respect to x is 1.

When we compose a function, it may be possible to write it in a variety of different ways. Differentiating such functions can result in different derivatives, but the Chain Rule indicates that the derivatives of the compositions should be the same regardless of how the function is written, if the function is continuous and differentiable.For instance, consider the function f(x) = sin(x²). It can be written as f(g(x)) where g(x) = x² and f(x) = sin(x). Furthermore, it can be written as f(h(x)) where h(x) = x² and f(x) = sin(x). These are both compositions of functions, but they are different compositions that lead to different derivatives.However, if the function is a composite of differentiable functions, the Chain Rule tells us that the derivative of a composite function is the derivative of the outer function multiplied by the derivative of the inner function.

To find dy/dx if y = x using the Chain Rule with y as a composite of the following functions, we must first rewrite y as a composite function: y = f(g(x)) where g(x) = x and f(x) = x. This composite function can be written in a variety of different ways, such as y = f(h(x)) where h(x) = x and f(x) = x, or y = f(k(x)) where k(x) = x and f(x) = x. However, regardless of how we write it, the Chain Rule tells us that the derivative of y is equal to the derivative of the outer function (f(x) = x) multiplied by the derivative of the inner function (g(x) = x).

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The week in which he most probabily caught the fish is on week 4.

Here we want to see in which of these weeks Mark may have catched a fish that weighed 5 kilograms.

Now, 5kg is more than all the means in the table, so the week in which he may have catched this fish is the one with the largest mean.

But we discard week 2, because only one fish was caught that week and the mass of it was 2.3kg.

Then the next option that makes sense is week 4, where he catched 3 fish and the mean weight is 1.9 kilograms.

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Answer:

When the negatively charged balloon approaches a wall, the negative charges in the wall are repelled (or pushed away)

Step-by-step explanation:

As the two come in contact, the balloon will stick because of the rule that opposites attract (positive to negative)

Answer:

25

Step-by-step explanation:

l x w = h

25 x 7.2 = 180

Step-by-step explanation:

31 + 6x + x + 16 = 180

7x + 47 = 180

7x = 180 - 47

x = 133/7

x = 19

Given the word "HAPPINESS";

There are nine letters in HAPPINESS but with two letters reocurrring more than once.

The number of distinct rearrangement of the letters is;

Thus, we simplify further. We have;

FINAL ANSWER: 90,720

Answer:

11

Step-by-step explanation:

Answer:

height = 5 cm

Step-by-step explanation:

a cube has congruent sides (s)

the volume (V) of a cube is calculated as

V = s³

given V = 125 , then

s³ = 125 ( take cube root of both sides )

\(\sqrt[3]{s^3}\) = \(\sqrt[3]{125}\) = \(\sqrt[3]{5^3}\)

s = 5

then height = 5 cm

The expression for the perimeter is P = 12x - 16

The given parameters are

Length = 3x + 1

Width = 3x - 9

The perimeter is calculated as

P = 2 * (Width + Length)

So, we have

P = 2 * (3x + 1 + 3x - 9)

Evaluate

P = 2* (6x - 8)

Expand

P = 12x - 16

Hence, the expression for the perimeter is P = 12x - 16

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Answer:

I have no idea

Step-by-step explanation:

Answer:

I have no idea

Step-by-step explanation:

The point charges placed 0.500 m apart are 10.4 nC and 43.9 nC. Then, the electric field halfway between these charges will be -4824 N/C.

The physical field that surrounds particles with an electrical charge is called an electric field. All other charged particles in the field are affected by it, either being attracted to it or being repelled by it.

The electric field because of a point charge q is written as \(E=\frac{kq}{r^2}\)

Positive point charges cause the electric field to point away from the point, whereas negative point charges cause the electric field to point in the direction of the point. Then, the electric field of the midpoint p in the diagram is written as,

\(\begin{aligned}E_p&=\mathrm{\frac{k(10.4\;nC)}{(0.25\;m)^2}-\frac{k(43.9\;nC)}{(0.25\;m)^2}}\\&=\mathrm{\frac{k(10.4-43.9)\times10^{-9}\;C}{(0.25\;m)^2}}\\&=-\mathrm{\frac{9\times 10^9\;Nm^2/C^2\times 33.5\times10^{-9}\;C}{(0.25\;m)^2}}\\&=-\mathrm{4824\;N/C}\end{aligned}\)

The required answer is -4824 N/C.

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Answer:

4 units right, 2 units up

Step-by-step explanation:

For \(g(x)=(x-4)^2+2\), the graph of \(f(x)=x^2\) would need to move 4 units to the right and 2 units up. Hence, the vertex would be \((4,2)\) if we compare the function g(x) with the form \(y=a(x-h)^2+k\).

The measure of the largest angle in the kite is 26.67 (approx)°.

The given problem states that you cut out a piece of fabric in the shape of a kite so that the congruent angles of the kite are each 100°. The other two angles of the kite are not equal. If one of the angles is 4 times the size of the other, then the larger angle is 4x, and the smaller one is x.

We need to determine the measure of the largest angle in the kite. In order to find out the measure of the largest angle in the kite, we need to know the sum of all the angles in the kite. Let's recall the sum of angles in a kite. A kite is a quadrilateral whose four sides can be grouped into two pairs of adjacent sides that are equal in length. A kite has two opposite pairs of equal angles. The sum of the angles of a kite is 360°.In a kite, the angles can be represented as a, a, b, and c where a is the congruent angle and b and c are non-congruent angles.

Then, 2a + 2b = 360°2a + 2x + 4x = 360°2a + 6x = 360°2a = 360° - 6x2a = 180° - 3xa = (180° - 3x)/2

Since a = 100°, we can substitute it in the equation above, a = (180° - 3x)/2 and find the value of x.

Substituting a = 100° in the above equation, we get:

100 = (180 - 3x)/2100 × 2 = 180 - 3x200 = 180 - 3x20 = -3x/-3x = -20/(-3)x = 6.67 (approx)

Now we can substitute this value of x in the expression for the larger angle to find its measure. The larger angle is 4x, so it is equal to 4(6.67) = 26.67 (approx)°.

Therefore, the measure of the largest angle in the kite is 26.67 (approx)°.

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Answer:

e = 5h

$100

Step-by-step explanation:

Let e = earnings

e = 5h

For h = 20,

e = 5h = 5(20) = 100

Answer:

$ 100

Step-by-step explanation:

1 hour = $ 5

h (hours worked in a week) = 20 hrs

EXPRESSION: amount of money earned in a week = h × 5

EVALUATION: amount of money earned in a week = 20 × 5

amount of money earned in a week = $ 100 ... answer

hope that helps...

Tanya swims 56 laps each month.

If Tanya swims a total of 672 laps in a year, we can find out how many laps she swims each month by dividing the total number of laps by the number of months in a year.

There are 12 months in a year, so we can divide 672 by 12 to get:

672 / 12 = 56

Therefore, Tanya swims 56 laps each month.

This assumes that Tanya swims the same number of laps every month. If she does not swim the same number of laps each month, then we would need more information to determine how many laps she swims each month.
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The distance between Basti and Cian is approximately 138.2 ft. Option D

To find the distance between Basti and Cian, we can use the Law of Sines, which relates the lengths of sides to the sines of their opposite angles in a triangle.

Let's label the points: A, B, and C. Ali is at point A, Basti is at point B, and Cian is at point C.

Given:

Angle ABC = 50 degrees (angle opposite side AC)

Angle BAC = 60 degrees (angle opposite side BC)

Ali is 150 ft away from Basti (side AB)

We want to find the distance between Basti and Cian, which is side BC.

Using the Law of Sines, we have:

BC/sin(50) = AB/sin(60)

Substituting the known values:

BC/sin(50) = 150/sin(60)

To find BC, we can rearrange the equation:

BC = (150/sin(60)) * sin(50)

Using a calculator to evaluate the expression:

BC ≈ 138.2 ft

Option D is correct.

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Answer:

7: 63

8: 73

arithmetic sequence

y = 10x - 7

or f(n) = 10x -7

or

\(a_{n}\) = 3 + (n-1)10

Step-by-step explanation:

the output increases by 10 every time that the input increases by 1.  That gives us our common difference or slope.  The y intercept is -7. That is the value is you worked backwards until you get to n = 0.  The initial value  is 3.  That is when n is 1.

When n is 3, f(n) is 23

When n is 2, f(n) is 13

When n is 1, f(n) is 3

When n is 0, f(n) is -7

I am not sure if this is clear.  I am assuming that you have a lot of knowledge of linear equations and how to write arithmetic sequence.  If my explanation is confusing it is me and not you.

Answer:

a. 63,73

b. Arithmetic sequence

c.t(n)=10n-7

Explanation:

a. Here is the completed table:

n | t(n)

4 | 33

5 | 43

6 | 53

7 | 63

8 | 73

b.

The type of sequence is arithmetic.

An arithmetic sequence is a sequence of numbers where the difference between any two consecutive terms is constant.

In this case, the difference between any two consecutive terms is 10.

c.

The equation for the arithmetic sequence is:

t(n)=a+(n-1)d

where:

For Question:

Now

equation becomes:

t(4) = a+(4-1)10

33=a+30

a=33-30

a=3

Now, the Equation becomes

t(n) = 3+(n-1)10

t(n) = 3+10n-10

t(n)=10n-7

Answer:

? = 92°

Step-by-step explanation:

the chord- chord angle ? is half the sum of the measures of the arcs intercepted by the angle and its vertical angle, that is

? = \(\frac{1}{2}\) (LM + AK) = \(\frac{1}{2}\) (120 + 64)° = \(\frac{1}{2}\) × 184° = 92°

Answer:

Step-by-step explanation:

18 - .25

it will be low because the difference will be less than what it originally was

17.80-.25=17.55

Answer:

21 purple marbles

Step-by-step explanation:

my explanation is i looked at it like a ratio so ¾= x/28

then i took 28 ÷ 4 which equals 7, then i took 7 and multiplied it by 3 which gave me 21, so the answer is 21 purple marbles

Answer:

Step-by-step explanation:

Its 4.51

Answer:

your answer is correct.

Step-by-step explanation:

The resultant equation is 28x + 14 + 3 = -67 which could represent the first step of solving for x.

The equation is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are equal.

The equation is given in the question as follows:

7 (4x+2) + 3 = -67

We have to determine the resultant equation that could represent the first step of solving for x.

As per the question, we have

⇒ 7 (4x+2) + 3 = -67

Apply the distributive property of multiplication,

⇒ 7 × 4x + 7 × 2 + 3 = -67

⇒ 28x + 14 + 3 = -67

Therefore, the resultant equation will be 28x + 14 + 3 = -67.

Hence, the correct answer would be an option (D).

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Let, Y~Pois(λ):

If \(Y\) is a random variable that is distributed according to the Poisson distribution with parameter λ, then the probability mass function of \(Y\) is given by:

Simplification;

ANSWER

y = -3x

EXPLANATION

We have to determine the slope-intercept form of the equation of the line.

The slope-intercept form of a linear equation is given as:

y = mx + c

where m = slope

c = y intercept

First, we have to find the slope:

where (x1, y1) and (x2, y2) are two points the line passes through.

Therefore:

Now, we have to use the point-slope method to find the equation:

y - y1 = m(x - x1)

=> y - (-3) = -3(x - 1)

y + 3 = -3x + 3

y = -3x + 3 - 3

y = -3x

That is the slope intercept form of the equation.