Find the value of the variable.

Any input number of t outside of the range [0, 3] would therefore be meaningless given the circumstances of the issue.

An equation in mathematics is a claim that two expressions are equivalent. Mathematical operations like addition, subtraction, multiplication, division, and exponentiation may be used. It typically includes one or more variables. A connection between two or more variables can be represented by an equation, and it can also be used to determine the value of an unknown variable. Finding the values of the factors that make the equation true is the first step in solving an equation.

given

The projectile is in the air for a maximum of three seconds, so the domain of h(t) is [0, 3], since the equation depicts the projectile's height in feet after t seconds.

Any input number of t outside of the range [0, 3] would therefore be meaningless given the circumstances of the issue.

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Based on the information in the graph, the perimeter of the figure would be 48.

To find the perimeter of the figure we must add the value of all the sides. In this case, this figure has 8 sides. However, in essence it is a rectangle because all the angles are 90°, so we could assume that the sides on the right add up to 6 as the side on the left. Also the bottom sides would add up to 18 like the top.

According to the above, we could infer that the perimeter of the figure is:

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The requried measures of angles a, b, c, and d are 97°, 15°, 68°, and 68° respectively.

Orientation of the one line with respect to the horizontal or other respective line is known as a measure of orientation and this measure is known as the angle.

Here,
From the figure,
The calculation of the unknown angles is as follows,
112° and ∠d are supplementary angles.

So,
112 + ∠d = 180
∠d = 180 - 112
∠d = 68°

97° and angle a are corresponding angles, so
∠a = 97°.

112 and ∠c are also supplementary angles.
112 + ∠c = 180
∠c = 68°

Now,
∠a + ∠b  = 112
∠a + 97 = 112
∠a = 15°

Thus, the requried measure of angles a, b, c, and d are 97°, 15°, 68° and 68°.

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The future value earning need to save $527.13.

The worth of a current asset at some point in the future based on an estimated rate of growth is known as future value (FV). For investors and financial planners, the future value is crucial because they use it to predict how much an investment made now will be worth in the future.

Here  $50,000 now at 3% inflation will become 50000*1.03^250 after 20 years.

i.e.  $121,363 is required in retirement years (for 20 years)

Calculate the PV of these payments 7% is calculated as below.

FV = 0; 1/y = 7%; n=20; PMT = 121363; calculate PV = $1,191,560

Now we want to get $1,191,560 at the start of retirement by saving per year  to get the per month amount.

FV = 1191560; PV = 0; n= 12*35; 1/y = 7%/12; calculate PMT  = $527.13

Hence you have to save $527.13 dollar per month.

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the positive value of "x" for the given quadratic equation will be 5.

ax²+bx+c=0, with a not, equals 0 is a quadratic equation, which is a second-order polynomial equation in a single variable. It has at least one solution because it is a second-order polynomial equation, which is guaranteed by the algebraic fundamental theorem. The answer could be simple or complicated.

Given a quadratic equation, √(4x² - 4x + 1) = 9

Simplifying the value of the given equation  to calculate the value of the variable "x",

Equation,

=> √(4x² - 4x + 1) = 9

Square both sides

=> (4x² - 4x + 1) = 81

=> 4x² - 4x - 80 = 0

Divide by 4 into both sides of the equation,

=> x² - x -20 = 0

Simplifying the equation using the factorization method,

=> x² - 5x + 4x - 20 = 0

=> x(x - 5) + 4(x - 5) = 0

=> x = -4

=> x = 5

Therefore, the positive value of "x" for the given quadratic equation will be 5.

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Answer:

C. Simple interest involves interest calculated only on the principal. Compound interest is interest computed on the original principal as well as on any accumulated interest.

Step-by-step explanation:

Answer:

q=2.1

Step-by-step explanation:

2q+3.07=7.27

take away 3.07 from both sides

2q=4.20

divide both sides by 2

q=2.10

q=2.1

Answer: To find the equation of a line parallel to 12x + 8y = -40, we need to first rearrange the equation into slope-intercept form, y = mx + b, where m is the slope and b is the y-intercept.

12x + 8y = -40

8y = -12x - 40

y = -1.5x - 5

So, the slope of the line is -1.5.

Since the line we want is parallel to this line, it will have the same slope, which is -1.5. Now we can use the point-slope form of a line to find the equation:

y - y1 = m(x - x1)

where (x1, y1) is the point through which the line passes, and m is the slope.

Substituting (6,-3) and -1.5 for x1, y1, and m respectively, we get:

y - (-3) = -1.5(x - 6)

y + 3 = -1.5x + 9

y = -1.5x + 6

So the equation of the line parallel to 12x + 8y = -40 through the point (6,-3) is y = -1.5x + 6.

Step-by-step explanation:

The answer of the given question based on the cost of mailing is , the cost of mailing a 2.5-ounce letter to Vienna, Austria would be $6.63 (rounded to the nearest cent).

An equation is  mathematical statement that shows  two expressions are equal. It contains variables, constants, and mathematical operations like  addition, subtraction, multiplication, and division.

For example, a simple equation could be:

2x + 3 = 9

The equation y = 0.25x + 6.00 represents the cost y of mailing a letter to Vienna, Austria based on the weight x of the letter in ounces. The flat rate of $6.00 is represented by the constant term 6.00 in the equation, and the additional charge of $0.25 per ounce is represented by the coefficient of x, which is 0.25.

To use this equation to determine the cost of mailing a specific letter, you would need to know the weight of the letter in ounces. You could then substitute this value for x in the equation and solve for y, which would give you the cost of postage in dollars.

For example, if a letter weighs 2.5 ounces, you could plug in x = 2.5 into the equation:

y = 0.25(2.5) + 6.00

y = 0.625 + 6.00

y = 6.625

So the cost of mailing a 2.5-ounce letter to Vienna, Austria would be $6.63 (rounded to the nearest cent).

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Using null hypothesis, we can find that the researcher has done type II error in this case.

Hypothesis testing uses sample data from the population and draws conclusions about the population's probability distribution. It looks at a data assumption and uses a variety of methods for testing assumptions. The null hypothesis is rejected or not according to the results of the hypothesis test.

The chance of rejecting the null hypothesis when it is true is what is meant by type I error.

Probability of adopting the null hypothesis when it is untrue is the definition of type II error.

Here, CAPSULES is not actually 100 Mg and you have taken the decision of fail to reject the null hypothesis, (which means that accepting the null hypothesis) so, this is a type II error.

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Answer:

No, lines of latitude on a globe are not examples of lines in elliptic geometry. Elliptic geometry is a non-Euclidean geometry in which there are no parallel lines, and the sum of the angles in a triangle is greater than 180 degrees. However, lines of latitude on a globe are examples of lines in spherical geometry, which is a type of elliptic geometry. In spherical geometry, lines of latitude are great circles, which are the largest circles that can be drawn on a sphere and are analogous to the equator on Earth. Unlike lines in Euclidean geometry, great circles on a sphere do not maintain a constant distance from each other and intersect at two points on the sphere.

Step-by-step explanation:

In this case, the equation is 6/2 = x/3, so x = 6/2 * 3/1 = 9/2.Therefore, the two possible values of x are 11/6 and 9/2.

Corresponding angles are angles that have the same relative position when two parallel lines are cut by a transversal line. When two parallel lines are cut by a transversal, corresponding angles are the same size. Corresponding angles are also known as vertically opposite angles.

In order to determine the value of x, we must assume that the two triangles in the diagram are similar. This means that the corresponding angles are equal and the corresponding sides are proportional. We will also assume that the angles of the triangle are in degrees and the sides are in the same unit of length.

Using the properties of similar triangles, we can calculate the value of x. We start by looking at the given angles, which are both 60°. Since the sides are proportional, we can set up a proportion equation between the two sides. We will use the side lengths given in the diagram to solve the proportion equation.

The proportion equation is: 11/3 = x/2.

Solving this equation for x, we get x = 11/3 * 2/1, which simplifies to x = 11/6.

We can also use the same equation to solve for x using the second given side length, which is 6. In this case, the equation is 6/2 = x/3, so x = 6/2 * 3/1 = 9/2.

Therefore, the two possible values of x are 11/6 and 9/2.

* The assumptions that I made in my working are that the two triangles in the diagram are similar and that the angles are measured in degrees and the sides are measured in the same unit of length.

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With given linear equations of lines, the straight lines AB and CD are not  parallel.

What is a linear equation?

In mathematics, a linear equation is an equation that can be written in the form:

y = mx + b

where "y" and "x" are variables, "m" is the slope of the line, and "b" is the y-intercept, which is the point where the line crosses the y-axis.

A linear equation represents a straight line on a graph and describes a linear relationship between two variables. The slope "m" determines how steep the line is, while the y-intercept "b" determines where the line crosses the y-axis.

Now,

To determine if the lines AB and CD are parallel, we need to compare their slopes. If the slopes are equal, then the lines are parallel.

The slope of a line is given by the coefficient of "x" in its equation when it is written in the form of y = mx + b, where "m" is the slope.

For line AB, we have:

OA = 3x + 7y

OB = 5x + 6y

Subtracting the equation for OA from the equation for OB, we get:

OB - OA = (5x + 6y) - (3x + 7y)

= 2x - y

So the slope of line AB is:

m_AB = (change in y) / (change in x) = -2 / 1 = -2

Now, for line CD, we have:

CD = 6x - 3y

So the slope of line CD is:

m_CD = (change in y) / (change in x) = -3 / 6 = -1/2

Since the slopes of line AB and line CD are not equal, i.e., m_AB ≠ m_CD, we can conclude that the lines are not parallel to each other.

Therefore, the geometrical relationship between the straight lines AB and CD is that they are not parallel to each other.

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The radical expression (6–√4)3 written in exponential form is 612.

Expression is a term used to describe the process of making clear or conveying one's thoughts, ideas, and feelings. It is a way of communicating with others and expressing oneself in a meaningful and effective manner. Expression can be done through verbal and non-verbal communication, including writing, art, music, dance, and other creative outlets. It can also be used to express emotions such as joy, sadness, fear, anger, and love. Expression is essential to healthy communication and can be a powerful tool for self-expression, personal growth, and development.

This is because raising a number to an exponent is the same as multiplying that number by itself the number of times specified by the exponent. In this case, the base number is 6, and the exponent is 12. When a number is multiplied by itself 12 times, it is referred to as an exponential expression. To convert the radical expression to an exponential expression, the radical needs to be converted to an exponent. The radical of 4 is 2, so the exponent is 12. This results in the answer 612.

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Answer: 35

Step-by-step explanation:

So we already know he sold $40 worth jacket so lets subtract that from 92.50

92.50-40= 52.5

So he sold $52.5 worth of notebooks

since we know each notebook costs 1.50 all we have to do is divide

52.5 / 1.50 = 35

He sold 35 notebooks

Answer:

Step-by-step explanation:

40-20 =20 then times 3 which is 60.

The equation for the proportion, p, of consumers who shop with coupons is: p = C/N where C is the number of consumers who use coupons and N is the total number of consumers asked.

An equation is a mathematical statement that indicates the equality of two expressions. It consists of two expressions separated by an equal sign (=). The expression on the left side of the equal sign is equivalent to the expression on the right side. Equations can have one or more variables, which are usually represented by letters such as x, y, or z. The goal in solving an equation is to determine the value(s) of the variable(s) that make the equation true. This involves manipulating the expressions on both sides of the equal sign using algebraic operations such as addition, subtraction, multiplication, and division, to isolate the variable on one side of the equation. Equations are used in many areas of mathematics and science to represent relationships between variables and to solve problems. They are also used in various fields such as engineering, physics, and economics to model real-world situations and make predictions based on mathematical analysis.

Here,

This equation represents the ratio of the number of consumers who use coupons to the total number of consumers. It is commonly used in statistics and market research to measure the prevalence of a certain behavior or preference among a population. By calculating the proportion of consumers who use coupons, businesses can make informed decisions about their pricing strategies, promotions, and advertising campaigns.

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Answer:404087

Step-by-step explanation:

use the calculator frfr

Answer:

404087

Step-by-step explanation:

The measurement of angle DAO in the given rhombus  is 40°

A rhombus is a quadrilateral with both pairs of opposite sides parallel and all sides the same length, i.e., an equilateral parallelogram. The word rhombus is sometimes used instead of rhombus.

Given that, ABCD is a rhombus and ADC = 50°. we need to find DAO.

Please refer to the figure attached

We know that, the diagonals of the rhombus bisects at right angle,

Therefore,

AOD is a right-angled triangle.

We know that, the sum of the acute angles of a right-angled triangle is 90°

Therefore,

∠ ADC + ∠ DAO = 90°

∠ DAO = 90° - 50°

∠ DAO = 40°

Hence, the measurement of angle DAO in the given rhombus  is 40°

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Consequently, y = (4/5)x - 4 is the equation of the line with a slope of 4/5 and a y-intercept of (0,-4).

Slope is a mathematical term that describes how steep a path is. It gives an explanation of the rate of rise or decline of the line as it moves horizontally along the x-axis. The percentage of the difference in the y-coordinate to the change in the x-coordinate at all between the two locations on a line is known as the slope of the line. In other terms, it is the line's "rise" over its "run". The letter "m" stands for slope, and the following formula is used to determine it:

m = (y2 - y1)/(x2 - x1) (x2 - x1)

given

In slope-intercept form, a line's equation is written as y = mx + b, where m is the slope and b is the y-intercept.

Given that the y-intercept is (0, -4) and the slope is 4/5, we can enter these numbers into the slope-intercept form to obtain:

y = (4/5)x - 4

Consequently, y = (4/5)x - 4 is the equation of the line with a slope of 4/5 and a y-intercept of (0,-4).

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The angle measures are given as follows:

Two angles are called supplementary when the sum of their measures is of 180º.

On a trapezoid, consecutive interior angles are supplementary, hence the pairs of supplementary angles are given as follows:

Hence the value of y is obtained as follows:

y + 145 = 180

y = 35º.

(as the two angles are supplementary we know that the sum of their measures is of 180º).

The value of x is obtained as follows:

x + 62 = 180

x = 118º.

(as the two angles are supplementary we know that the sum of their measures is of 180º).

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Because of the isosceles triangle.

The triangle whose two sides are equal length is called an isosceles triangle. The third side, known as the base, may or may not be a different length from the other two sides. An isosceles triangle also has two angles that are equal in measure, which are opposite the two equal sides.

Given that in ΔMQN: MQ=MN,

therefore, ∠MQP=60°=∠MNO (isosceles triangle )

also given in ΔMPO: MP=MO,

therefore, ∠MPO=80°=∠MOP (isosceles triangle )

For the straight line PON,

∠POM + ∠MON = 180° (straight line angle)

80° + ∠MON = 180°

∠MON = 100°

In ΔNMO,

∠NMO +∠MON + ∠MNO = 180° ()

∠NMO + 100° + 60° = 180°

∠NMO = 20°

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Answer:

Step-by-step explanation:

The cable company offers Erik 3 free months of cable if he signs a contract with them for $40 per month. This means that Erik will pay for (m - 3) months of cable service, since he will get 3 months for free. So the cost of the cable service for (m - 3) months is:

Cost = $40 per month x (m - 3) months

Cost = $40m - $120

We know that Erik spent $680 for the cable television service. So we can set up an equation to relate the cost to the number of months:

$40m - $120 = $680

To solve for m, we can isolate the variable on one side of the equation:

$40m = $800

m = 20

Therefore, Erik will have cable television service for 20 months with this deal.

The solutions of  x² - 2x - 4 = -3x + 9 are x = -4.14 and x = 3.14,

which is the x-coordinate of the intersection points of the graphs of y = x² - 2x - 4 and y = -3x + 9

"It is a polynomial equation with degree two."

"The general form of quadratic equation is  , where a, b, c are real numbers with a ≠ 0."

here, we have,

For given question,

We have been given an quadratic equation  x² - 2x - 4 =  -3x + 9

We simplify above quadratic equation.

=>  x² - 2x - 4 =  -3x + 9

solving we get,

=>  x = -4.14 and x = 3.14

Consider the graphs for y = x² - 2x - 4 and y = -3x + 9 as shown below.

Therefore, the solutions of  x² - 2x - 4 = -3x + 9 are x = -4.14 and x = 3.14,

which is the x-coordinates of the intersection points of the graphs of y = x² - 2x - 4 and y = -3x + 9

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The figure has rotational symmetry of order 2 and to achieve rotational symmetry of order 4, three plates need to added.

Explain about symmetry?

Symmetry is a property of an object that describes how it appears identical after some transformation, such as reflection, rotation, or translation. It is an essential concept in mathematics, science, art, and many other fields.

There are several types of symmetry, including:

Reflectional symmetry (also called bilateral symmetry).
Rotational symmetry.

Translational symmetry.

According to the question:

a. The figure has rotational symmetry of order 2. This means that if we rotate the figure 180 degrees around its center, the figure will look exactly the same as it did before the rotation.

b. To achieve rotational symmetry of order 4, we need to add plates in such a way that the figure looks the same after a rotation of 90 degrees, 180 degrees, and 270 degrees around its center.
To achieve this, we can add three more plates to the figure, one in between each pair of existing plates, After adding these plates, the figure has rotational symmetry of order 4. We can see this by rotating the figure 90 degrees, 180 degrees, and 270 degrees around its center

so the figure has rotational symmetry of order 4. Therefore, we only needed to add three plates to the figure to achieve rotational symmetry of order 4 around its center.

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Answer:

x + 118 = 180

Step-by-step explanation:

Because the angle x added with 118 must be 180 degree for this to be true. So, the answer is x + 118 = 180

Answer:

2.) x + 118 = 180 degrees

Step-by-step explanation:

x + 118 = 180 can be solved as taking 118 on both sides, 118 and 180.

118=0 and 180-118= 62. The other equations in the 4 options do not work.

I hope this helps : )