she reads the meter again after one month when they move in 789 units after one month 820 units

The chances are that your gain will be $40 if you purchase two shares of ABC stock and no shares of XYZ stock, and if it is not $40 the gain is:

1) 50%, $0

2) 25%, $20

3) 75%, $30

4) 50%, $20

So, the option (4) 50%, $20 is the correct option.

The given question is asking what the chances are that your gain will be $40 if you purchase two shares of ABC stock and no shares of XYZ stock, and what the gain will be if it is not $40.

Mathematically, this can be broken down as follows:

There is a 50% chance that the temperature will be lower than average, in which case the stock price for ABC will increase by $20. Thus, the expected gain from investing in ABC is 50% x $20 = $10.

There is a 25% chance that the temperature will be higher than average, in which case the stock price for XYZ will increase by $20. Since you are not investing in XYZ, your expected gain from this is 0.

Therefore, the expected gain from investing in ABC and not investing in XYZ is 50% x $10 + 25% x $0 = $10 + $0 = $10.

Since you are investing in two shares of ABC stock, your expected gain is 2 x $10 = $20. Thus, there is a 50% chance that your gain will be $40, and otherwise your gain will be $20.

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Answer:

The simplified expression is a^(21/20).

Step-by-step explanation:

To simplify the expression, we can use the rule for multiplying two powers with the same base, which is to add the exponents.

a^(3/5) * a^(3/4) = a^(3/5 + 3/4) = a^(6/5 + 3/4)

We can then simplify the fractional exponent by finding a common denominator for the numerators, which is 20 in this case:

a^(6/5 + 3/4) = a^(6/20 + 15/20) = a^(21/20)

The simplified expression is a^(21/20).

The dimensions of the sticker are 11 millimeters and 3 millimeters.

Area of a two dimensional shape is the total region which is bounded by the object's shape.

Perimeter of a straight sided figures or objects is the total length of it's boundary.

Given is a sticker which is rectangular in shape.

Area of the sticker = 33 millimeters²

Perimeter of the sticker = 28 millimeters

Area of a rectangle = Length × Width

Perimeter of a rectangle = 2(Length + Width)

Let x be the length and y be the width of the rectangle.

x y = 33

2(x + y) = 28 ⇒ 2x + 2y = 28 ⇒ 2y = 28 - 2x ⇒ y = 14 - x

Substituting y = 14 - x in x y = 33,

x(14 - x) = 33

14x - x² = 33

-x² + 14x - 33 = 0

x² - 14x + 33 = 0

Factorizing the quadratic equation,

(x - 11) (x - 3) = 0

x - 11 = 0 or x - 3 = 0

x = 11 or x = 3

If x = 11, then y = 33/11 = 3

If x = 3, y = 33/3 = 11

Hence the dimensions are 11 millimeters and 3 millimeters.

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The condition which satisfy the congruency of the given triangle is

BC≈QR.

Two triangles are said to be congruent if all the corresponding sides are equal and all the corresponding angles are equal. The symbol of congruency is '≅'

To show that triangle ABC≈triangle PQR by SSS,

In this type of congruency, all the sides of the triangle ABC is equivalent to the all the sides of the triangle PQR.

Given, AC≅PR, AB≅PQ.

The another one condition is BC≅QR.

Hence, the condition which satisfy the congruency of the given triangle is BC≈QR.

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The formula to calculate the nth term of the sequence is an = -3n+18.

The difference between any two consecutive integers in an arithmetic progression (AP) sequence of numbers is always the same amount. It also goes by the name Arithmetic Sequence.

Given that the arithmetic series is 15,12,9,6.....

The nth term of the arithmetic sequence will be calculated as:-

an = a₁ + (n-1)d

The first term is 15 and the common difference for the series is 12-15 = -3.

The nth term will be calculated as:-

an = a₁ + (n-1)d

an = 15 + (n-1)-3

an = 15 -3n +3

an = -3n + 18

Therefore, an = -3n+18 is the formula to find the nth term in the sequence.

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Step-by-step explanation:

A=4πr²

A = 4× 22/7 ×8²

A = 4 ×22\7×64

A=804.6m²

The given expression simplifies to sin 2x.

Option (D) is correct.

What are trigonometric ratios?

Trigonometric ratios are ratios of the sides of a right triangle that are used to define the relationships between the angles and the sides of the triangle. The three basic trigonometric ratios are sine, cosine, and tangent, which are commonly abbreviated as sin, cos, and tan, respectively.

The expression (sin 3x)(cos x) − (cos 3x)(sin x) is an example of a trigonometric identity known as the "sin of a difference" formula:

sin(A - B) = sin A cos B - cos A sin B

By comparing this formula to the given expression, we can see that:

A = 3x

B = x

Substituting these values into the formula, we get:

sin(3x - x) = sin 2x = (sin 3x)(cos x) − (cos 3x)(sin x)

Hence, the given expression simplifies to sin 2x.

Option (D) is correct.

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A measurement which is closest to the volume of the cylinder in cubic cm is 158.87 cubic cm.

Mathematically, the volume of a cylinder can be calculated by using this formula:

Volume of a cylinder, V = πr²h

Where:

Next, we would determine the radius of the base of the cylinder:

Circumference of a circle = 2πr

10 = 2πr

Radius, r = 1.59 cm.

Substituting the given parameters into the volume of a cylinder formula, we have the following;

Volume of a cylinder, V = 3.142 × (1.59)² × 20

Volume of a cylinder, V = 158.87 cubic cm.

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The rule A(x,y) ⇒  (-y,x) describes a transformation. The correct option is D.

The concept of rotation in mathematics has its roots in geometry. Any rotation is a movement of a certain area while maintaining at least one point. It may be used to describe, for instance, how a rigid body moves around a fixed point.

Our point A(x,y) becomes A' when a point is rotated 90 degrees counterclockwise about the origin (-y,x). To put it another way, flip x, and y, making y negative.

The transformation is described by the rule A(x,y) (-y,x). The right answer is D.

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The value of k is given as follows:

k = 2x.

The exponential function that models the growth of the first virus is given as follows:

y = P(3)^x.

The exponential function that models the growth of the second virus is given as follows:

y = P(9)^x = P(3)^k.

We have that 9 is the second power of 3, hence we have that:

y = P(3²)^x = P(3)^k.

Applying the power of power rule, we have that:

y = P(3)^(2x) = P(3)^k.

Hence the value of k is given as follows:

k = 2x.

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Answer:

a.18%

b.68%

Step-by-step explanation:

for a you need to multiply 2 to get 18 out of 100 to get 18% and for b you need to multiply 4 to get 68 out of 100 to get 68%

The equation of the line with slope 3 that goes through the point (2, 5) is y = 3x - 1.

What is the slope-point form of the line?

The point-slope form of the equation of a line is given by:

y - y1 = m(x - x1)

where m is the slope of the line, and (x1, y1) is a point on the line.

Using the given slope of 3 and the point (2, 5), we can substitute into the point-slope form to get:

y - 5 = 3(x - 2)

Expanding the right-hand side:

y - 5 = 3x - 6

Adding 5 to both sides:

y = 3x - 1

Hence, the equation of the line with slope 3 that goes through the point (2, 5) is y = 3x - 1.

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Answer:

C) 0.24 kg

----------------------------

Find the weight of two loaves of bread:

Find the difference of weights of 2 loaves of bread and 6 muffins:

The matching choice is C.

The difference of weights of 2 loaves of bread and 6 muffins:

= 0.24 kg

We have to given that,

One loaf of bread weighs 0.68 kilogram.

And, Six muffins weigh 1.12 kilograms.

Now, We can Find the weight of two loaves of bread:

Here, One loaf of bread weighs 0.68 kilogram.

Hence, the weight of two loaves of bread:

0.68 x 2 = 1.36 kg

Hence, the difference of weights of 2 loaves of bread and 6 muffins:

= 1.36 kg - 1.12 kg

= 0.24 kg

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The length of side DF is 5 units.

If two figures possess the same shape but not necessarily the same size, they are considered to be similar. We may remark that all circles are similar as an example. Equilateral triangles and squares are similar to one another. Although similar figures need not be congruent, all congruent figures are similar.

Property 1:

Two triangles are similar if their respective sides have the same ratio and their corresponding angles are equal.

Property 2:

The corresponding angles of two similar triangles will have equal values . Equiangular triangles are what they are called.

Now by property 1,

The pairs of  corresponding sides of similar traingles are proportional .

Therefore, in the given triangles,

[tex]\frac{BA}{ED} =\frac{AC}{DF}[/tex]

[tex]\frac{6}{3} =\frac{10}{x} \\\\x=5[/tex]

Hence, the value of x = 5 units.

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Answer:

a = 5, b = 5√3

Step-by-step explanation:

Use sin law

sin A/a = sin C/c

sin 30/a = sin 90/10

sin 30/(sin90/10) = a

a = 5

sin B/b = sin C/c

sin 60/b = sin 90/10

sin 60/(sin90/10) = b

b = 5√3

Answer: 1/2 is

Step-by-step explanation:

The area of the triangle with side lengths 28 and 21 and an angle of 118 degrees is 260 squared unit.

A triangle is simply a two-dimensional polygon with 3 sides and 3 interior angles.

The area of a triangle can be determine using the formula;

A = ( a × b × sin( C ) ) / 2

From the diagram;

Plug the given values into the above formula.

A = ( a × b × sin( C ) ) / 2

A = ( a × m × sin( R ) ) / 2

A = ( 28 × 21 × sin( 118° ) ) / 2

A = ( 588 × sin( 118° ) ) / 2

A = ( 588 × 0.8829 ) / 2

A = 519.17 / 2

A = 260 square unit.

Therefore, the area of the triangle is 260 square unit.

Option D) 260 is the correct answer.

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The area of the figure  to the nearest whole number is 260

The area of a triangle is the region contained by the triangle's sides. The length of the sides and internal angles affect a triangle's area differently from one triangle to the other.

From the given triangle:

The required area of a triangle is:

[tex]A = a*b * \dfrac{sin \gamma}{2}[/tex]

where;

[tex]A = 28*21 * \dfrac{sin \ 118}{2}[/tex]

A = 14 × 21 × sin 118

A = 14 × 21 × 0.8830

A = 259.602

A = 260

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Answer:

36.

Step-by-step explanation:

o find F'(4), we need to use the chain rule of differentiation. The chain rule states that if F(x) = f(g(x)), then F'(x) = f'(g(x)) * g'(x).

Given that f(-2) = 5, f'(-2) = 9, f'(4) = 3, g(4) = -2, and g'(4) = 4, we can calculate F'(4) as follows:

F'(4) = f'(g(4)) * g'(4) = f'(-2) * g'(4) = 9 * 4 = 36

Therefore, F'(4) = 36.

Answer:

Step-by-step explanation:

we have two rectangles side by side, the larger one measures 8m by 6m, the smaller one 5m by 4m, the 4 meters is the difference between the base  (10m) and the 6m side, so we find the areas and add them using the formula A = L x W, the result is not in the choices but it is right.

6 * 8 + 4 * 5 =                     remember PEMDAS

48 + 20 =

68 m²

As said, 48 model automobiles are driven by Jim at the moment, and the ratio might alter to 19:13.

An organisation of the integers a and b stated as a/b is still a ratio if b is truly not comparable to 0. Two ratio with the same value are established by the percent formula. As an illustration, you might write your ration as follows: 1:3 when there is 1 man and 3 females.

You know there's an 8:6 ratio between the grand total of model cars Jim and Terrence possess.

As a result, you can respond to the assignment as follows: Assume Jim owns x different car models.

8/6 = x/36

x = 36*8/6

x = 288/6

x = 48

The new percentage of Jim's against Terrence's model vehicles will be as follows because both Jim & Terrence sell ten of their model cars:

(48-10)/(36-10) = 38/26 = 19/13

Jim's to Terrence's miniature automobiles will now be in a 19:13 ratio.

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Answer:

x=5 and LN= 30, MP= 40

Step-by-step explanation:

Add like terms to both sides of the equation and you will get your answer

Answer: 12.72 ft.

Step-by-step explanation:

[tex]\frac{6}{8.3} = \frac{x}{17.6} \\\\ 8.3x= 105.6\\\\x= 12.72[/tex]

On solving the provided question we can say that the quadratic equation is  3x²+15x+9=0

A quadratic equation is x ax2+bx+c=0, which is a quadratic polynomial in a single variable. a 0. The Fundamental Theorem of Algebra ensures that it has at least one solution since this polynomial is of second order. Solutions may be simple or complicated. An equation that is quadratic is a quadratic equation. This indicates that it has at least one word that has to be squared. The formula "ax2 + bx + c = 0" is one of the often used solutions for quadratic equations. where are numerical coefficients or constants a, b, and c. where the variable "X" is unidentified.

the quadratic equation is 3x²+15x+9=0

by Shridhara Charya formula method, we have

x=−0.697224

x=−4.30278

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The final price of Thomas Peters' new SUV  is $30,309 , can be calculated by subtracting the rebates from the initial cost.

The initial cost of the SUV was $32,984, and he received a $2,175 rebate from the car dealer and a $500 rebate from the manufacturer. So, the final price would be calculated as follows:

Final Price = $32,984 - $2,175 - $500

Final Price = $30,309

Therefore, the final price of Thomas Peters' new SUV is $30,309.

It is important to note that rebates can play a significant role in reducing the cost of a car purchase. In this case, Thomas Peters was able to receive a total of $2,675 in rebates, which reduced the cost of his new SUV by over 8%. This shows that it is often worth the time and effort to research available rebates and incentives when making a car purchase. Additionally, it is also a good idea to negotiate the price with the car dealer, as there may be room for further discounts.

By taking these steps, you may be able to save a significant amount of money on your car purchase and get a better value for your money. Ultimately, it is important to weigh the cost and benefits of each car option to determine the best choice for your needs and budget.

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The only correct option for the given quadratic function, is the graph of the function is a parabola. (there is only one correct option)

A quadratic function is a polynomial function with one or more variables in which the highest exponent of the variable is two.

Given is a quadratic function f(x) = x² - 5x + 12, there are some options given, we need to select the option which are correct according to the given quadratic function,

So, firstly we will plot the graph of the given function,

From the graph, we get,

The function is a parabola which opens up, the points (20, -8) and (0, 0) do not lie in the graph,

Now, finding the value of f(-10), put x = -10

(-10)² - 5(-10) + 12 = 100+52+12 = 164

Hence, in the conclusion the only correct option for the given quadratic function, is the graph of the function is a parabola. (there is only one correct option)

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Answer:

He can eat 6 pies in 198 seconds.

Step-by-step explanation:

Divide

132÷4=33

Divide

198÷33=6 pies in 198 seconds

Answer:

=17 + 6n.

Step-by-step explanation:

[tex]4 \times 5 + 6n - 3 \\ = 20 + 6n - 3 \\ = 20 - 3 + 6n \\ = 17 + 6n[/tex]

Answer:

this is not belongs to mathematics

Step-by-step explanation:

The function g(x) = 8(2)^x is also a shift left by 3 units of f(x) = 2^x, as 8 = 2³, hence 8(2)^x = 2^(x + 3).

A translation happens when either a figure or a function are moved horizontally or vertically.

The four translation rules for functions are given as follows:

The functions for this problem are given as follows:

8 is the third power of 2, hence:

8 = 2³.

When two terms with the same base and different exponents are multiplied, we keep the base and add the exponents, hence:

8(2)^x = 2³ x 2^x = 2^(3 + x) = 2^(x + 3).

As x -> x + 3, a translation left 3 units happened.

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