Emma has money in two savings accounts. One rate is 6% and the other is 14%. If she has $950 more in the 14% account and the total interest is $342, how much is invested in each savings account?

Therefore , the solution of the given problem of function comes out to be (5g -2h)(x) = 5x² -4x -16 .

The study of numbers, their variations, mathematics and the regional tissue, structures, and both their actual and imagined locations, is known as mathematics. A function is a mathematical representation of the relationship between a set of inputs, each of which has an associated output. A function is a group of inputs that, when combined, result in a single, recognized output for each input. Each equation function is given a city, town, or scope, which is frequently referred to as a realm. Functions are typically denoted by the letter f. (x).

Here,

given:

g(x)=x²-2

h(x) = 2x + 3

To find : (5g -2h)(x)

So,

5g(x) = 5x²-10

and

2h(x) = 4x + 6

=>  (5g -2h)(x) = 5x²-10 - 4x -6

=> (5g -2h)(x) = 5x² -4x -16

Therefore , the solution of the given problem of function comes out to be (5g -2h)(x) = 5x² -4x -16 .

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If there are 26 cubic inches of popcorn within the box, it will be 76% full.

Volume is a unit used to describe how much room an object occupies. For instance, because two shoe boxes use twice as much space as one, they have twice as much volume.

Multiplying a rectangular prism's length, width, and height yields its volume. Volume of a rectangular prism is calculated as follows: Volume = Length x Width x Height

[tex]$$\begin{aligned}& \text { Volume }=2 \frac{1}{2} * 2 \frac{3}{4} * 5 \\& \text { Volume }=\frac{5}{2} * \frac{11}{4} * 5\end{aligned}$$[/tex]

Volume[tex]$=\frac{275}{8}$[/tex] cubic inches

Currently 26 ÷ 275/8 * 100%\s= 208/275 * 100%\s≈76%

Therefore, if the box holds 26 cubic inches of popcorn, it will be 76% full.

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KITE is a kite because each two opposite sides of kite are of equal length and satisfy the property of quadrilateral.

What is quadrilateral?

With four sides, four vertices, and four angles, a quadrilateral is a closed shape and a specific kind of polygon. Four non-collinear points are connected to form it. A quadrilateral's interior angles add up to 360 degrees in all cases.

Given:

K(0. -2),  I(1, 2),  T(7, 5) and  E(4, -1).

We have to show a quadrilateral KITE is a kite.

We have to find the distance of each side of quadrilateral using the distance formula.

[tex]d = \sqrt{(x_2-x_1))^2+(y_2-y_1)^2}[/tex]

Here,

[tex]KI = \sqrt{(1-0)^2 + (2-(-2))^2} = \sqrt{1+16} = \sqrt{17} \\IT = \sqrt{(7-1)^2 + (5-2)^2} = \sqrt{36 + 9} = \sqrt{45} = 3\sqrt{5} \\TE = \sqrt{(4-7)^2 + (-1-5)^2} = \sqrt{(9 + 36)} = \sqrt{45} = 3\sqrt{5} \\KE = \sqrt{(4-0)^2 + (-1-(-2))^2} = \sqrt{x} = \sqrt{16 + 1} = \sqrt{17}[/tex]

Hence, KITE is a kite because each two opposite sides of kite are of equal length and satisfy the property of quadrilateral.

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Domain of  y=|x-4|-2 : (-∞, ∞) by -∞ < x < ∞

Range of y=|x-4|-2: [-2, ∞) by F(x) ≥ -2

When a function is applied to its entire set of outputs, the set of outputs it produces is known as its range. The set of things that really leave the function machine after you give it all the inputs is referred to as the range in the metaphor. The set of possible output values for a function is its range.

The range of values that can be plugged into a function is known as its domain. The x values for a function like f are contained in this collection (x). The collection of numbers that the function assumes is known as its range. Following the insertion of an x value, the function outputs this sequence of values.

Domain of  y=|x-4|-2 : (-∞, ∞) by -∞ < x < ∞

Range of y=|x-4|-2: [-2, ∞) by F(x) ≥ -2

Axis interception points of |x - 4| - 2:

X Intercepts: (2, 0), (6, 0), Y Intercepts: (0, 2)

Asymptotes of |x - 4| - 2 : None

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Answer:

x=9

Step-by-step explanation:

1/3(x+7)=5 1/3

5 1/3=16/3

1/3(x+7)=16/3

x+7=(16/3)/(1/3)

x+7=(16/3)(3/1)

x+7=16/1

x+7=16

x=16-7

x=9

Answer:

x = 9

Step-by-step explanation:

Now we have to,

→ Find the required value of x.

The equation is,

→ (1/3)(x + 7) = 5 1/3

Then the value of x will be,

→ (1/3)(x + 7) = 5 1/3

→ (x + 7)/3 = 16/3

→ x + 7 = (16/3) × 3

→ x + 7 = 48/3

→ x + 7 = 16

→ x = 16 - 7

→ [ x = 9 ]

Hence, the value of x is 9.

Answer:

Maths

Step-by-step explanation:

Maths

Maths is a great way to get a job and then she can u me a little more about it and let me know if maths is a good fit for me and I can make it work for you

Answer is:

Step-by-step explanation:

6

Option D. 2x^2 - 13 is Correct.

What is the function notation?

Function notation is a way of writing mathematical functions using a specific syntax. A function is a rule that assigns a unique output to each input. In function notation, the function is represented by a letter, usually f, g, or h, followed by a variable in parentheses.

To find (f g)(x), we first need to find g(x) by substituting the value of x into the equation for g(x) = x^2 - 7:

g(x) = x^2 - 7

Next, we substitute the result of g(x) into the equation for f(x) = 2x + 1:

(f g)(x) = f(g(x)) = f(x^2 - 7) = 2(x^2 - 7) + 1

So the final result is (f g)(x) = 2x^2 - 14 + 1 = 2x^2 - 13

Hence, (f g) (x) = 2x^2 - 13

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Therefore , the solution of the given problem of order comes out to be

1/8 < 1/6 < 2/3 < 10 .

Thus putting things where they belong in accordance with some norm. The shapes in this image are arranged according to how many sides it have. Another illustration is to sort the integers 3, 12, 5, 2, and 9 from highest through lowest.

Here,

Given :

2/3 , 1/6 . 1/8 and 10

So ,

To form a proper order from least to greatest

Thus , ascending order:

So,

=> 1/8 < 1/6 < 2/3 < 10

Therefore , the solution of the given problem of order comes out to be

1/8 < 1/6 < 2/3 < 10 .

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Answer: 240

Step-by-step explanation:

The difference in cost between the two plans after 18 months is $240.

This is because the cost of Company A is consistently $35 more per month than that of Company B, which therefore would add up to $630 after 18 months.

The linear equation representing the cost of Company A is Y = 35X + 40, while the linear equation representing the cost of Company B is Y = 50X.

After 18 months, X would equal 18, and substituting this value into the two equations, we get the following for Company A:

Meanwhile, for Company B, we get:

The difference between these two values for different internet service providers is:

This question should be provided with this following data:

Company A

Month, X : 1, 2, 3, 4

Total Cost ($), Y: 75, 110, 145, 180

Company B

Month, X : 1, 2, 3, 4

Total Cost ($), Y: 60, 110, 160, 210

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Answer:

B,D,E

Step-by-step explanation:

Those should be you're answers

Options options A, B, D and F prove the triangle ABC is similar to triangle QRS by the side-angle-side similarity theorem.

Two triangles are similar if the angles are the same size or the corresponding sides are in the same ratio. Either of these conditions will prove two triangles are similar.

Given that, triangle ABC is similar to triangle QRS by the side-angle-side similarity theorem.

A) AB/QR=BC/RS (Corresponding sides are in ratio)

B) ∠C≅∠S (Corresponding angles are equal)

D) AB/QR =AC/QS (Corresponding sides are in ratio)

F) ∠A≅∠Q (Corresponding angles are equal)

Therefore, options A, B, D and F are correct answers.

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Therefore , the solution to the given problem of function comes out to be The sphere does not ricochet when launched from 0 feet, as indicated by the function's starting value.

Mathematics is the study of numbers and their variations, mathematics and adjacent tissues, shapes and actual locations, and possible locations for them. The term "function" refers to the relationship between a collection of inputs, which each have an associated output. A function is a relationship of inputs and outputs in which each input yields a single variable, distinct output.

Here,

A table with a linear function is provided to us, showing the height to which a ball would bounce when dropped from various heights.

The height to which ball bounces is 0 feet when the elevation from which it is dropped is 0 feet, according to the table.

Therefore, at the initial position, where the ball is dropped from a height of 0 feet, the ball doesn't quite bounce at all, meaning that the height at which the orb bounces is also 0 feet.

The sphere does not ricochet when launched from 0 feet, as indicated by the function's starting value.

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Answer:

It would have changed by 25 dollars.

The area of a rectangle is length ✕ width. So, width = area/length, i.e., 24 square units/4 units or 6 units.

Because its sides are coupled, it only has two distinct dimensions. The rectangle’s length is traditionally the longer of these two dimensions, although when the rectangle is displayed standing on the floor, the vertical side is commonly termed the length.

A rectangle’s opposite sides are equal and parallel. Because a rectangle is a 2-D form, it has two dimensions: length and breadth. The length of the rectangle is the longer side, while the width is the shorter side. Square units of measurement include square inches, square feet, and square meters. To calculate the area of a rectangle, multiply its length by its breadth. The formula is as follows: A = L * W, where A

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From the graph, a possible solution to the inequalities x + y ≥ 16 and 0.01x + 0.05y ≤ 0.4 is (15, 2)

An equation shows how two or more numbers and variables are related to each other.

Let x represent the number of pennies and y represent the number of nickels. One penny = $0.01 and one nickel = $0.05

She has a minimum of 16 coins, hence:

x + y ≥ 16     (1)

Also:

It is no more than $0.40 combined, hence:

0.01x + 0.05y ≤ 0.4    (2)

From the graph, a possible solution is (15, 2)

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Answer:

[tex]\frac{15}{16}[/tex]

Step-by-step explanation:

We will use the rule of KCF (Keep, Change, Flip) to solve a problem where a fraction divides by a fraction. We will start out with our original expression:

[tex]\frac{5}{8} / \frac{2}{3}[/tex]

Then, we will keep the first number, change the division sign to multiplication, and flip the last fraction, giving us:

[tex]\frac{5}{8} * \frac{3}{2}[/tex]

Then, you multiply the numerators and denominators, giving you:

[tex]\frac{15}{16}[/tex]

Then, you cannot simplify further. So, your answer is [tex]\frac{15}{16}[/tex].

Hope this helped!

The pressure for the force of 90 KN applied to the area of 15 square meters will be 6 KN/m².

The force applied perpendicularly to an object's surface per unit area over which that force is distributed is known as pressure. In comparison to the surrounding pressure, gauge pressure is the pressure. Pressure is expressed using a variety of units.

Given that the force is 90 KN and the area of the application is 15 square meters.

The pressure is calculated by the formula:-

Pressure = Force / Area

Pressure = 90 / 15

Pressure = 6 KN / m²

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Option D is correct, [tex](\frac{1}{512}) ^{\frac{1}{3} }[/tex] is equivalent to [tex](\frac{1}{64}) ^{\frac{1}{2} }[/tex]

An expression is combination of variables, numbers and operators.

Let us simplify using [tex]a^{\frac{n}{m} } =\sqrt[m]{a^{n} } :\sqrt[3]{\frac{1}{512} }[/tex]

Rewrite the expression using [tex]\sqrt[n]{ab} =\sqrt[n]{a} .\sqrt[n]{b} :\frac{1}{\sqrt[3]{512} }[/tex]

Factor and rewrite the radicand in exponential form :1/8

simplify using [tex]a^{\frac{n}{m} } =\sqrt[m]{a^{n} } :\sqrt{\frac{1}{64} }[/tex]

Rewrite their expression using  [tex]\sqrt[n]{ab} =\sqrt[n]{a}.\sqrt[n]{b} :\frac{1}{\sqrt{64} }[/tex]

Factor and rewrite the radicand in exponential form : 1/8

Hence, option D is correct, [tex](\frac{1}{512}) ^{\frac{1}{3} }[/tex] is equivalent to [tex](\frac{1}{64}) ^{\frac{1}{2} }[/tex]

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Answer:

[tex]a^2+b^2[/tex]

Step-by-step explanation:

The SUM of the SQUARES of a and b

The square of a is a^2

The square of b is b^2

The sum of them is: a^2 + b^2

Answer:

well if its about a right triangle its c^2 if not its just a^2+b^2

Step-by-step explanation:

Answer:

7. 4x^4-12x^3+7x^2+3x-2

8. x^6-4x^5+9x^4-24x^3+27x^2-36x+27

9. -x^2+3x-8

Step-by-step explanation:

Answer:

<d=102°[Vertically opposite angles are equal]

<e=36°[Vertically opposite angles are equal]

<d+<f+<e=180°[Sum of angle on St.line supplementary]

or,102°+36°+<f=180°

or,<f=180°-102°-36°

:.<f=42°

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The sum of the measures of the interior angles of a Pentagon is 540 degrees. and the sum of the exterior angles is 360 degrees.

The sum of the measures of the interior angles of a Quadrilateral is and the sum of the exterior angles is  360 degrees.

The sum of the measures of the interior angles of a Dodecagon is and the sum of the exterior angles is 1, 440 degrees.

The sum of the interior angles of a pentagon is equal to (n-2) times 180 degrees, where n is the number of sides of the polygon. For a pentagon, n = 5, so the sum of the interior angles is (5-2) x 180 = 540 degrees.

The sum of the exterior angles of a polygon is equal to 360 degrees. This is true for any polygon, regardless of the number of sides.

The sum of the interior angles of a quadrilateral is equal to (n-2) times 180 degrees, where n is the number of sides of the polygon. For a quadrilateral, n = 4, so the sum of the interior angles is (4-2) x 180 = 360 degrees.

The sum of the interior angles of a Dodecagon is equal to (n-2) times 180 degrees, where n is the number of sides of the polygon. For a Dodecagon, n = 12, so the sum of the interior angles is (12-2) x 180 = 1440 degrees.

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The numerator for the following rational expression G/h + 8/h = ?/h will be g + 8.

Simply put, a rational expression is the product of two polynomials. Or to put it another way, it is a fraction with polynomials as the numerator and denominator. A function whose value is determined by a rational expression is said to be rational.

Rational expressions resemble fractions with variable denominators and frequently, numerators as well. As you can see, there is h is denominator on both right hand side and left hand side. So, you can eliminate it and can consider all numerators as a whole at a time. Then, it will be: G+8 = G+8

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Complete question

What's the numerator for the following rational expression? G/h + 8/h = ?/h

The person that is correct in this discussion on the diagonal of the kite is Tyler.

Tyler is correct because the diagonal is just a line that is known to run from one end of a shape to the other end

When two polygonal or polyhedral vertices are not on the same edge, a diagonal in geometry is a line segment that connects them. Any sloping line is referred to as a diagonal.

The kite bounces back on itself along a line of symmetry. Segments move to congruent segments by reflections. A kite has two congruent pairs of sides placed adjacent to one another.

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The centroid of the region is (3,1).

The centroid of a region is a point that is the average of all the vertices of the region. In other words, it is the point that is the center of mass of the region. To find the centroid of a region, we need to find the x and y coordinates of the vertices of the region and then take the average of these coordinates.

To find the centroid of the region in the first quadrant bounded by the x-axis, the parabola y^2 = 8x, and the line x + y = 6, we need to find the x and y coordinates of the vertices of the region.

The parabola y^2 = 8x and the line x + y = 6 are the equations of the boundaries of the region. We can find the vertices of the region by solving for the points where these two equations intersect.

The parabola y^2 = 8x can be rewritten as y = ±√8x. So the x-coordinate of the vertex of the parabola is (3,3).

The line x + y = 6 can be rewritten as y = -x + 6. So the x-coordinate of the vertex of the line is (0,6) and (6,0).

So the three vertices of the region are (0,0), (3,3), and (6,0).

So the centroid of the region is (3,1).

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The absolute value will be used over distance coordinate formula when the line is parallel to either the y-axis or x-axis.

The common formula to find the distance between two coordinates is expressed as;

D = √[(x₂ - x₁)² + (y₂ - y₁)²]

Now, this formula is very useful when the two coordinates don't have their x coordinates equal or y coordinates equal and when the line is parallel to either the y axis or x axis.

When we have a case where the line is parallel to wither the y or x axis, then it is pertinent to note that if one coordinate is negative and the other is positive, we know that opposites have the same distance from zero, hence have the same absolute value.

Thus, we can find the absolute value to get the length.

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As a result, if [f(x) is (x)], then the equation [y is f(-x + 2)] defines the graphed function.

[y = f(-x + 2)] is the equation that describes the graphed function.

As stated in the question, a reference graph diagram and details on the function f(x), which equals the square root of "x," are given.

From the four possibilities provided, we are expected to select the equation that best explains the graphed function.

We will employ the trial-and-error approach to this problem, employing the possibilities to identify the best solution.

First off, the graph's x-axis and y-axis are both broken at (4, 0) and respectively (0, 2). As a result, [y = f(x)] requires that our equation be equal to 0 when (x = 4) is replaced and to 2 when (x = 0).

Taking into account option (A), we obtain, by substituting (x = 4) for (y = f[(- x) + 4] = sqrt[(- x) + 4]

y = sqrt[(- 4) + 4]

furthermore, y = sqrt (4 - 4)

furthermore, y = sqrt (0)

or, y = 0

The result of replacing (x = 0) is y= [(-0)+4]

or y = sqrt(4) or y = 2 or y = (4-0)

As a result, option (A) is satisfied at locations (4, 0) and (0, 2).

Similar results may be obtained for the other three possibilities by substituting and checking: for (x = 4), (y 0), and for (x = 0), (y 2).

As a result, if [f(x) = (x)], then the equation [y = f(-x + 2)] defines the graphed function.

A function in mathematics is an operator that, given an input, will carry out a predetermined series of operations.

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Answer: You take a test with 32 questions on it. You answer 24 questions correctly 92% percent of the questions do you answer correctly.

Step-by-step explanation: To solve this question we will simplify it logically,

Here, according to the statement given we have 32 question so we will find the differtence between the total number of given questions to the number of questions we solve correctly.

So there are 8 questions that we did wrong .

Now, we will find in percent , substract 8 out of 100% Then we will get the percent of the number of question taht are correct which is 92%.