can someone please help me
answer choices:
A - sin(0°)
B - cos(0°)
C - sin(180°)
D - cos(180°)
E - sin(270°)
F - cos(270°)

So on solving provided question we can say that the exponent will be as follows  [tex]e^{x^{-2y}} = e^{x^{3}} = e^{34}[/tex].

Exponentiation, often known as "b raised to the nth power," is a mathematical operation denoted by the symbol bn that involves two numbers: a base number, b, and an exponent, or power, n. Exponents show how many times a number has been multiplied by itself. As an illustration, 2-3 (written as 23) denotes: 2 x 2 x 2 = 8. 23 is not equivalent to 2 + 3 = 6. Recall that an integer raised to the power of one equals itself. A approach to express huge numbers as powers is through the use of exponents. Exponent, then, is the quantity that indicates how many times a number has been multiplied by itself. As an illustration, 6 is multiplied by 4 to provide 6 x 6 x 6 x 6. It may be expressed as 64. 4 is where

the given exponent is

[tex]e^{x^{-2y}} = e^{x^{3}} = e^{34}[/tex]

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The system of Equation the tables represent are:

y = 11.5x + 22 and y = –13x + 218

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given:

Manuel:

slope = (33.50- 22)/ (1-0)

slope = 11.5

So, the Equation for Manuel

y- 22= 11.5 (x- 0)

y- 22 = 11.5x

y= 11.5x + 22

Ruben:

slope = (205- 218)/ (1-0)

slope = - 13

So, the Equation for Ruben

y- 218= -13 (x- 0)

y- 218 = -13x

y= -13x + 218

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Answer:

I= PTR/100 where P=Principal, T = Time period in years, R = Rate of interest per annum.

The value of 20.25 ÷ 0.9 in standard form is 2.25×10¹

The standard form of a number is a way of writing the number in a form that follows certain rules. Any number that can be written as a decimal number, between 1.0 and 10.0, multiplied by a power of 10, is said to be in standard form.

This means that writing a value in the form 35.77× 10³ is very wrong in standard form because 35.77 is less than 10. But instead we write it in the form 3.577×10⁴, now 3.577 is less than 10.

The value of 20.25÷ 0.9 = 22.5

but this is not in standard form because 22.5 is greater than 10. By putting it in standard form, we divide it by 10 and multiply it by 10 again

This means that 22.5 = 2.25×10¹

Therefore 20.25 ÷ 0.9 in standard form is 2.25 × 10¹

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Number of servings Cate can have is given by the equation A = 16 servings

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the number of servings be represented as A

Now , the equation will be

The number of cups of rice Cate has = 2 cups

The number of cups of servings Cate divides = 1/8 cups

So ,

The number of servings A = number of cups of rice Cate has / number of cups of servings Cate divides

Substituting the values in the equation , we get

The number of servings A = 2 / ( 1/8 )

On simplifying the equation , we get

The number of servings A = 2 x 8

The number of servings A = 16 servings

Therefore , the value of A is 16 servings

Hence , the number of servings is 16 servings

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The cost to customer after seven months of service is equal to $171.

Mathematically, the point-slope form of a straight line can be calculated by using this mathematical expression:

y - y₁ = m(x - x₁)

Where:

Next, we would set up or write an equation that shows the relationship between the months of service and the total charges as follows;

y - 81 = 18(x - 2)

By making "y" the subject of formula, we have the following:

y = 18x - 36 + 81

y = 18x + 45

After seven (7) months of service, the cost is given by:

y = 18(7) + 45

y = $171.

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If the perimeter of the isosceles triangle is 12 cm, then the base of the triangle (x), as well as the length of the triangle leg (x) is 4 cm.

An isosceles triangle is a type of triangle in which two sides have the same length. These two equal sides are referred to as the legs of the triangle, while the remaining side is known as the base.

The perimeter of a triangle is the sum of the lengths of all its sides. In this case, since the triangle is isosceles, the base and one leg have the same length (x), and the other leg also has the same length (x). Therefore, the perimeter of the triangle is 2x + x = 3x. Given that the perimeter of the isosceles triangle is 12 cm, then:

3x = 12

 x = 12/3

 x = 4

So, the base and legs of the isosceles triangle each have a length of 4 cm.

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Your question seems to be missing the value for the perimeter of the triangle, but I suppose the complete question was:

"The length of the base of an isosceles triangle is x. The length of a leg is x. The perimeter of the triangle is 12 cm. Find x."

Answer:

x = 35°

Step-by-step explanation:

AC is a straight line with the 3 angles lying on it summing to 180°, so

∠ E + ∠ D + ∠ G = 180°

55° + ∠ D + 90° = 180°

145° + ∠ D = 180° ( subtract 145° from both sides )

∠ D = 35°

then

x  and ∠ D are vertically opposite angles and are congruent, thus

x = 35°

Answer:

Perimeter = 162 units

Area = 1508 square units

Step-by-step explanation:

Given expressions:

If x = 10, then:

The formula for the perimeter of a rectangle is:

where w is the width and l is the length.

Therefore, the perimeter of the rectangle is:

[tex]\implies \sf P = 2(29 + 52)[/tex]

[tex]\implies \sf P = 2(81)[/tex]

[tex]\implies \sf P = 162\;units[/tex]

The formula for the area of a rectangle is:

where w is the width and l is the length.

Therefore, the area of the rectangle is:

[tex]\implies \sf A=29 \cdot 52[/tex]

[tex]\implies \sf A=1508\;square\;units[/tex]

Answer:

Area of rectangle = 1508

Perimeter of rectangle = 162

Step-by-step explanation:

Now we have to,

→ find the perimeter and area.

→ where x = 10.

Perimeter of rectangle is,

→ P = 2 × (L + W)

→ P = 2 × (5(10) + 2 + 3(10) - 1)

→ P = 2 × (50 + 2 + 30 - 1)

→ P = 2 × 81

→ [ P = 162 ]

Area of rectangle will be,

→ A = L × W

→ A = (5(10) + 2) × (3(10) - 1)

→ A = (50 + 2) × (30 - 1)

→ A = 52 × 29

→ [ A = 1508 ]

Hence, these are the values.

7 pints of white paint were used to paint her bedroom wall. This is a great way to ensure that the bedroom wall is painted to her desired color scheme with the right amount of blue and white paint.

The total amount of paint used is 9.5 pints.

One fourth of 9.5 pints is 2.375 pints of blue paint.

The remaining amount of paint is 9.5 - 2.375 = 7.125 pints of white paint.

Therefore, 7 pints of white paint were used to paint her bedroom wall.

Ivania used 9.5 pints of blue and white paint to paint her bedroom wall. One fourth of this amount was blue paint, meaning 2.375 pints of blue paint were used. This leaves the remaining amount of paint as 9.5 - 2.375 = 7.125 pints of white paint. Therefore, 7 pints of white paint were used to paint her bedroom wall. This means that the majority of the paint used was white paint, with only a quarter of the paint used being blue. This is a great way to ensure that the bedroom wall is painted to her desired color scheme with the right amount of blue and white paint.

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Answer:

Step-by-step explanation:

[tex]\frac{a^{3}-2a^{2}-15a }{a^{3}+a^{2}-30a} =\frac{a^{2}-2a-15}{a^{2}+a-30}[/tex]

[tex]\frac{a^{2}-2a-15}{a^{2}+a-30}=\frac{(a-5)(a+3)}{(a-5)(a+6)}= \frac{(a+3)}{(a+6)}[/tex]

The part of the field would Roni mow will be 4 3/7 of the field.

To find out what part of the field Roni would mow if he and Allie worked together to mow the field, you would need to calculate their combined rate of mowing.

You can find the combined rate by adding the rates of each person working alone:

Combined rate = (Roni's rate) + (Allie's rate)

Combined rate = (1/30 hour) + (1/75 hour) = (5/150) + (2/150) = (7/150) hour

Then divide the rate of Roni by the combined rate to find the proportion of the field that Roni would mow:

(Roni's rate) / (Combined rate) = (1/30 hour) / (7/150 hour) = (30/7) / 1 = 4.2857142857142856

So Roni would mow about 4.29 or roughly 4.3/7 of the field if he and Allie worked together.

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The length of line WX in both rectangles  is 10.5 ft. The right option is (D) 10.5.

A rectangle is a plane shape with fours sides, having two opposite sides equal and parallel.

To calculate the length of WX, we use the formula below.

Note: Rectangle RSTV is similar to rectanngle WXYZ. And the ratio of their corresponding Lengths are equal.

Formula:

From the question,

Given:

Substitute these values into equation 1 and solve for WX

Hence, the length of line WX is 10.5 ft

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The value of x in the equation 1.5 (x + 4) - 3 = 4.5 (x - 2) is 4.

The BODMAS rule is a rule used to simplify a mathematical equation. BODMAS itself is an abbreviation of the Bracket, Order, Division, Multiplication, Addition, and Subtraction. This rule indicates the sequence in which a mathematical equation should be solved.

As we want to find the value of x, firstly we have to simplify the equation by applying the BODMAS rule to the given equation:

1.5 (x + 4) - 3 = 4.5 (x - 2)

Since there's no Bracket, Order dan Division part that can be solved, so the first step is applying the Multiply part:

  1.5x + 6 - 3 = 4.5x - 9

Then we apply the addition and subtraction part:

   1.5x - 4.5x = - 9 - 6 + 3

              - 3x = - 12

                  x = 4

Thus, the value of x in the equation 1.5 (x + 4) - 3 = 4.5 (x - 2) is 4.

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The area of the trapezium shown is 57.97 cm²

An equation is an expression that shows the relationship between variables and numbers.

The area for a two dimensional shape is the amount of space occupied for that shape.

The area of a trapezium is given by:

Area = (1/2)(sum opposite base) * height

For the trapezium shown, the parallel sides have a measure of 17 inches and 31 inches respectively. The height is 11.7 inches:

Area = (1/2)(7.9 + 10.8)(6.2) = 57.97 cm²

The area is 57.97 cm²

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Therefore , the solution of the algebraic expression is the value of 3b - 5c when b = 5 and c = 2 is 5

An algebraic expression is a mathematical phrase that can contain numbers, variables, and mathematical operations. It represents a mathematical relationship, but it does not have a specific value. Algebraic expressions can be simple or complex, and they can be used to represent mathematical concepts or to perform calculations.

Here,

To find the value of 3b - 5c when b = 5 and c = 2, we can substitute these values into the expression and simplify it.

Given 3b - 5c = 3(5) - 5(2) = 15 - 10 = 5

Hence, the value of 3b - 5c when b = 5 and c = 2 is 5

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Answer:

2/3<85

I hope I help you in this ans and tq.

Answer: 96 and 97

Step-by-step explanation:

The formula for the area of a rhombus is a = d1d2, where d1 and d2 are the lengths of the diagonals. The equivalent equation is d1 = 2A/d2 and d2 = 2A/d1.

The formula for rhombus area is as follows:

A= 1/2 d1d2

where d1d2 and are the rhombus's diagonals.

The comparable expressions must be found.

Because A =  1/2 d1d2

We must first eliminate the denominator 2, regardless of whether we need to construct the corresponding statement in terms of d1 or d2. When we multiply the two sides of the previous equation by two, we get

2A =  d1d2

So, the equivalent expressions are d1 = 2A/d2 and d2 = 2A/d1

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Answer:

The height is 32

Step-by-step explanation:

The ratio of width to height is

4:3

We know the height is 24  so to go from 3 to 24 is multiplying by 8.

Multiply all terms by 8

4 * 8  : 3 * 8

32: 24

The ratio of the width to height is

32:24

The height is 32

=================================================

Work Shown

width/height = 4/3

w/24 = 4/3

3w = 24*4

3w = 96

w = 96/3

w = 32 cm is the width

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

Another approach.

The ratio of width to height is 4:3, meaning a screen that has width 4 cm and height 3 cm is possible. Instead, we want the "height 3 cm" to be "height 24 cm". This is a jump of "times 8".

Multiply both parts of that ratio by 8 to get...

4:3

8*4:8*3

32:24

A screen that is 32 cm wide and 24 cm tall will give us a ratio 4:3 when simplifying fully.

The order of the numbers is important. We have the width listed first simply because it was listed first in the phrasing "ratio of width to height".

The measure of the remaining angle is 71 degrees.

The measure of the remaining angle in a triangle can be found by subtracting the sum of the measures of the other two angles from 180 degrees.

Key points:

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Answer:

128 дней (days)

Step-by-step explanation:

5375/42 = 128 (округляем)

Answer:

128 days

Step-by-step explanation:

To solve this problem, we simply have to divide the total amount of oil in the tank by the amount of oil used each day.

[tex]5375 \textrm{ liters} \times \dfrac{1 \textrm{ day}}{42 \textrm{ liters}} = \dfrac{5375}{42} \textrm{ days} \approx 128 \textrm{ days}[/tex]

So, the tank will be empty after 128 days.

Note that the number of days is approximate; normally when measuring in the real world, whole numbers are used, as decimals in certain contexts (like in this situation) are confusing. So to simplify our answer, we can simply round up to 128 because by the end of the 128th day, the tank will be empty.

Mariu buy computer for £915. 00 each and ell them for £2081. 00 each. then the total profit on the ale of 13 computer is £15158.00

What is a simple definition of profit?

the excess of returns over expenditure in a transaction or series of transactions. especially : the excess of the selling price of goods over their cost. 3. : net income usually for a given period of time.

The profit on the sale of 1 computer is the difference between the selling price and the buying price.

Profit on 1 computer:

£2081.00 - £915.00 = £1166.00

The profit on 13 computers is 13 times the profit on 1 computer.

13 × £1166.00 = £15158.00

£15158.00

hence Mariu buy computer for £915. 00 each and ell them for £2081. 00 each.then the total profit on the ale of 13 computer is £15158.00

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Jacob poured 39/20 liters of water into the pitcher to make it 2 7/10 liters

An equation is an expression showing two or more numbers and variables linked together by a mathematical operation. Types of equations are linear, quadratic, cubic and so on depending on the degree of the variable.

Let x represent the amount of water that Jacob pour into the pitcher.

There is 3/4 liter of water in a pitcher. Then, Jacob pours more water into the pitcher. Now there are 2 7/10 liters of water in the pitcher.

2 7/10 liters = 27/10 liters

The equation is given as:

x + 3/4 = 27/10

x = 39/20

Jacob poured 39/20 liters of water into the pitcher

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Answer: 94%

Step-by-step explanation:  

solution: 47/50 as a percent is 94%

The area of the figure, which has a triangle and a rectangle with the same height, is 275 cm2.

You may also refer to it as a quadrilateral that is equiangular, meaning that all of its angles are equal. The parallelogram could alternatively have a straight angle. Rectangles with four sides that are all the same size are called squares. Four 90-degree vertices and equal parallel sides make up a quadrilateral with the rectangular shape. A rectangle is also referred to as a parallelogram since its opposing sides are parallel and equal.

given

Area of Figure = Area of Rectangle + Area of Triangle 

= l*b+ 1/2*b*h 

= 10 * 20 * 1/2 * 15 * 10 

= 275cm2

The area of the figure, which has a triangle and a rectangle with the same height, is 275 cm2.

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Answer:

[tex]12x^3-16x^2[/tex]

Step-by-step explanation:

[tex]10x^3-15x^2+2x^3-x^2=12x^3-16x^2[/tex]

Answer:

Step-by-step explanation:

If two right triangles share an acute angle measure, they are similar by angle-to-angle similarity. Corresponding side length ratios in the triangle are the same. The ratio of the side lengths of a right triangle depends only on the acute angle.