If the vertex of a parabola is at (5,0) and it opens UPWARD, it will have __________ solutions.



two


one


no


infinite

Answer:

4.26 × 10-2

Step-by-step explanation:

Step-by-step explanation:

Let's take the RHS,

we've,

Let's Rationalise the Denominator.

we get,

The numerator is in form of (a-b)^2 and the denominator is in form of a^2-b^2. Now,

By formula,

Here I substituted Cosa in place of (Cosa/2)^2 - (sina/2)^2 because it's the formula of cosa in sub multiple angle form.

(sina/2)^2 + (Cosa/2)^2 =1.........( by formula)

so we have,

LHS proved.

Thank You.

Therefore, the area of the quarter circle of radius 8 cm is 16π square centimeters (or approximately 50.2655 square centimeters if we use a decimal approximation for π).

A circle is a two-dimensional shape that is defined as the set of all points that are a fixed distance (called the radius) from a central point (called the center) in a plane. It is one of the most basic geometric shapes and is often used in a variety of mathematical and scientific contexts. One important thing to note about circles is that they are symmetrical: any line passing through the center of a circle divides the circle into two halves that are mirror images of each other. Circles are commonly used in a variety of contexts, including geometry, trigonometry, physics, engineering, and many other fields. They are also used in everyday life, such as in the design of wheels and other circular objects, the calculation of the areas of circular fields or gardens, and the measurement of circular objects like plates and bowls.

Here,

The formula for the area of a quarter circle is given by:

A = (1/4)πr²

where A is the area of the quarter circle, r is the radius of the circle, and π is the mathematical constant pi (approximately 3.14159).

In this case, the radius of the quarter circle is 8 cm, so we can substitute this value into the formula and simplify as follows:

A = (1/4)π(8 cm)²

A = (1/4)π(64 cm²)

A = 16π cm²

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One example of something that is not expected to be normally distributed is the heights of professional basketball players. The distribution of heights in this population is typically not a normal distribution due to specific factors such as selection bias and physical requirements for the sport.

The heights of professional basketball players are unlikely to follow a normal distribution for several reasons. Firstly, there is a strong selection bias in this population. Professional basketball players are typically chosen based on their exceptional height, which results in a disproportionate number of tall individuals compared to the general population. This selection bias skews the distribution and creates a non-normal pattern.

Secondly, the physical requirements of the sport play a role in the distribution of heights. Due to the nature of basketball, players at the extreme ends of the height spectrum (very tall or very short) are more likely to be successful. This preference for extreme heights leads to a bimodal or skewed distribution rather than a symmetrical normal distribution.

Additionally, factors such as genetics, ethnicity, and individual variation further contribute to the non-normal distribution of heights among professional basketball players. All these factors combined result in a distribution that deviates from the normal distribution pattern.

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Answer:

\(y=60\textdegree\)

Step-by-step explanation:

The Tangent-Secant Interior Angle Measure Theorem states that the measure of an angle formed by a tangent and a secant of a circle at the point of tangency is equal to half of the measure of its intercepted arc.

Therefore, \(y=\frac{1}{2} *120\textdegree = \bf 60\textdegree\). Hope this helps!

The Wald test is a statistical test that can be used to test the significance of a group of coefficients in a multiple regression model.

The test statistic is calculated as the ratio of the estimated coefficient to its standard error. If the test statistic is significant, then the null hypothesis that the coefficient is equal to zero can be rejected.

Suppose we have a multiple regression model with three independent variables: age, gender, and education. We want to test the hypothesis that the coefficients for age and education are both equal to zero. The Wald test statistic would be calculated as follows:

Test statistic = (Estimated coefficient for age) / (Standard error of estimated coefficient for age) + (Estimated coefficient for education) / (Standard error of estimated coefficient for education)

If the test statistic is significant, then we can reject the null hypothesis that the coefficients for age and education are both equal to zero. This would mean that there is evidence that age and education are both associated with the dependent variable.

The Wald test is a powerful tool that can be used to test the significance of a group of coefficients in a multiple regression model. However, it is important to note that the test statistic is only valid if the assumptions of the multiple regression model are met. If the assumptions are not met, then the p-value of the Wald test may be inaccurate.

Here are some of the assumptions of the multiple regression model:

* The independent variables are independent of each other.

* The dependent variable is normally distributed.

* The errors are normally distributed.

* The errors have constant variance.

If any of these assumptions are not met, then the Wald test may not be accurate.

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The unit tangent vector, unit normal vector, and the binormal vector of r(t) = sin(2t)i 3tj 2 sin2(t) k can be obtained using the formulae:T(t) = r'(t) / ||r'(t)||N(t) = T'(t) / ||T'(t)||B(t) = T(t) x N(t) where r(t) is the position vector at time t, ||r'(t)|| is the magnitude of the derivative of r(t) with respect to time, i.e. the speed, and x denotes the cross product of two vectors.

Given r(t) = sin(2t)i + 3tj + 2 sin2(t) k

The derivative of r(t) is given by r'(t) = 2 cos(2t) i + 3 j + 4 sin(t) cos(t) k

The magnitude of the derivative of r(t) with respect to time is ||r'(t)|| = √(4cos2(2t) + 9 + 16sin2(t)cos2(t))

= √(13 + 3cos(4t))

Thus,T(t) = r'(t) / ||r'(t)||= [2 cos(2t) i + 3 j + 4 sin(t) cos(t) k] / √(13 + 3cos(4t))

N(t) = T'(t) / ||T'(t)|| where T'(t) is the derivative of T(t) with respect to time.

We obtain T'(t) = [-4 sin(2t) i + 4 sin(t)cos(t) k (13 + 3cos(4t))3/2 - (2cos(2t)) (-12 sin(4t)) / (2(13 + 3cos(4t))]j (13 + 3cos(4t))3/2

= [-4 sin(2t) i + 12cos(t)k] / √(13 + 3cos(4t))

Thus,N(t) = T'(t) / ||T'(t)||= [-4 sin(2t) i + 12cos(t)k] / √(16sin2(t) + 144cos2(t))

= [-sin(2t) i + 3 cos(t) k] / 2B(t) = T(t) x N(t)

= [2 cos(2t) i + 3 j + 4 sin(t) cos(t) k] x [-sin(2t) i + 3 cos(t) k] / 2

= [3 cos(t)sin(2t) i + (6 cos2(t) - 2 cos(2t)) j + 3 sin(t)sin(2t) k] / 2

Therefore, the unit tangent vector, unit normal vector, and the binormal vector of r(t) = sin(2t)i + 3tj + 2 sin2(t) k are:

T(t) = [2 cos(2t) i + 3 j + 4 sin(t) cos(t) k] / √(13 + 3cos(4t))N(t)

= [-sin(2t) i + 3 cos(t) k] / 2B(t) = [3 cos(t)sin(2t) i + (6 cos2(t) - 2 cos(2t)) j + 3 sin(t)sin(2t) k] / 2

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Answer:

56$

Step-by-step explanation:

8*2=16

10*4=40

16+40=56

A dilation or combination of stiff movements and dilations constitutes a similarity transformation.

Similar figures don't always have to have the same size but share the same form.

A transition called a dilation keeps shape but not size. So a dilatation is a motion that is not rigid. A dilation or combination of stiff movements and dilations constitutes a similarity transformation. If and only if a similarity transformation translates one of the geometric figures onto the other, then two figures are said to be similar. Similar figures don't always have to have the same size but share the same form.

Similarity transformations include translation, reflection, rotation, and dilation. Rotation, reflection, and translation retain both size and form since they are rigid movements, whereas dilation just makes sure that the shape is preserved.

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Answer:

25,69% in 2019

Step-by-step explanation:

mark me please

This is the answer to your problem

If the school now has 1,378 students enrolled, last year, the number of students enrolled was B. 1,300.

Using the mathematical operations of addition, subtraction, division, and multiplication, we can determine the number of students.

Mathematical operations help us to determine unknown values, given a known domain.

Increase in school enrollment over last year's = 6%

Enrollment for the current year = 1,378

Let last year's enrollment = 100%

And the current year's = 1.06 (100 + 6)

Therefore, the enrollment last year = 1,300 (1,378/1.06)

Thus, the enrollment (number) last school year was B. 1,300.

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The statement that is true about equations and expressions is that an example of an equation is because it shows that two expressions are equal.

While an example of an expression is because it is a mathematical phrase represented by numbers, a variable, and an operation.

An equation is a mathematical statement where two expressions are equal. It's important to note that an equation has an equals sign, so the left side of the equation is equal to the right side of the equation.

Expressions are combinations of numbers, symbols, and operators that represent a value. A symbol or letter that represents a value is a variable. It's important to note that an expression does not have an equals sign, so the value of the expression is not defined.Why is an example of an equation true?An equation can be written in the form x = y. The equals sign indicates that x and y are equal. This means that two expressions, x and y, are equal. Therefore, an equation shows that two expressions are equal.

An example of an equation is 3x + 4 = 10. This equation is an example of an equation because it shows that two expressions, 3x + 4 and 10, are equal. The left side of the equation (3x + 4) equals the right side of the equation (10). Therefore, this statement is true: "An example of an equation is because it shows that two expressions are equal."

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Many psychologists consider the distinguishing feature of adolescent thought to be the ability to think in terms of abstract concepts or hypothetical situations.

These cognitive abilities play a crucial role in adolescent development, facilitating problem-solving, decision-making, and the exploration of identity and future possibilities.

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Answer:

64 cubic feet

Step-by-step explanation:

The Volume of a rectangular prism = Length × Width × Height

Hence,

length = 8 feet

width = 4 feet

height = 2 feet.

Volume of the rectangular prism =

8 feet × 4 feet × 2 feet

= 64 cubic feet

The total number of cubic feet of dirt that the trailer can hold when it is filled so that the dirt is level with the top is 64 cubic feet of dirt

Answer:

70 +60muinte= 13

Step-by-step explanation:

so that the ans

In h hours you will go 70h far from the original position and domain of the function is the amount of hours you drive option (C) is correct.

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

The question is incomplete.

The complete question is:

Driving on the highway, you can safely drive 70 miles per hour. “How far can you drive in ‘h’ hours?” What is the domain of the function which defines this situation?

A.)The amount of gas you use.

B.) 70.

C.) The amount of hours you drive.

D.)The distance you drive

We have:

Driving on the highway, you can safely drive 70 miles per hour.

The speed of the vehicle = 70 miles per hour

As we know,

Distance = speed×time

1 hour → 70 miles

h hour → D miles

D(t) = 70h

The above expression represents the situation.

Thus, in h hours you will go 70h far from the original position and domain of the function is the amount of hours you drive option (C) is correct.

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The two solutions to the equation (2x - 3)(3x + 5) = 0 when solved are x = 3/2 and x = -5/3

Given that, we have the following equation

(2x - 3)(3x + 5) = 0

The above equation means that

2x - 3 = 0 and 3x + 5 = 0

When the equations are evaluated, the equations becoms

2x = 3 and 3x = -5

Lastly, we divide both sides of the equation by the coefficent of x i.e 2 and 3

So, we have

x = 3/2 and x = -5/3

So, the values of the solutions to the equation are x = 3/2 and x = -5/3

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Answer:

B

Step-by-step explanation:

The negative cancled out leaving the 3 postive.  

Answer: 3/8

Step-by-step explanation: If you put it into the slope formula, you would get 18 - 9 / 19 - (-5) which simplifies to 9/24 and then to 3/8.

Answer:

slope = -3/8

image attached so its not confusing :D its a negative mixed number, not negative 3 over 8

The measure of the intercepted arc is: B. 84°.

Based on the inscribed angle theorem, if an inscribed angle measures A, and the intercepted arc measures B, therefore, A = 1/2(B).

Thus, given the following:

Thus:

42 = 1/2(WV)

WV = 2(42)

WV = 84°

Therefore, the measure of the intercepted arc is: B. 84°.

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Answer:

Step-by-step explanation:

Answer:

Here is the answer.

Step-by-step explanation:

Using the concept of proportions and ratios, 684L of natural oil is required to produce 855L of Petrolyn oil.

Proportions are mathematical statements that express the equality of two ratios. A ratio is a comparison of two values, often written as a fraction. For example, if you have 5 apples and 2 bananas, the ratio of apples to bananas can be written as 5/2. A proportion is an equation that sets two ratios equal to each other, such as:

a/b = c/d

In this problem, we need to find the ratio or simply equate and calculate how many liters of natural oil are needed

4L of natural oil = 5L of synthetic oil

xL of natural oil = 855L

cross multiply both sides and solve for x

x = (855 * 4) / 5

x = 684L

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Answer:

14.2

Step-by-step explanation:

you just have to add both of the numbers shown in the question

Answer:   10.75

Step-by-step explanation: 1: Based on the given conditions, formulate: 4.3 x 2.5

2: Calculate 4.3 x 2.5 = 10.75.

Therefore, the answer is 10.75.

A distance-time graph below shows a car travelling then the Speed of the car is 8.88 miles per hour

Speed is the time rate at which an object is moving along a path,

A distance-time graph below shows a car travelling

We know that speed is distance by time

From the graph the distance is 80 and time is 9

Speed= 80/9

=8.88 miles per hour

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Therefore , the solution of the given problem of standard deviation comes out to be population MAD of 5.44 is not identical .

Variance is a measure of difference used in statistics. The average variation between both the dataset and the mean is calculated using the image size of that figure. By comparing each figure to the mean, it incorporates those data points into its calculations, unlike other tangible measures of variability. Variations may result from internal or external factors and may include unintentional errors, inflated expectations.

Here,

There are nine possible samples when samples of size 2 are randomly chosen with replacement from the community of 7, 8, and 20:

{7, 7}, {7, 8}, {7, 20}, {8, 7}, {8, 8}, {8, 20}, {20, 7}, {20, 8}, {20, 20}

The population's mean absolute variation (MAD) is:

MAD = [(|7 - 12.33| + |8 - 12.33| + |20 - 12.33|) / 3] ≈ 5.44

where 12.33 is the population's average.

For each potential sample, we can determine the MAD:

MAD = [(|7 - 7| + |7 - 7|) / 2] = 0 for 7, and MAD = [(|7 - 7.5| + |8 - 7.5|) / 2] = 0.5 for 8, respectively.

=> {7, 20}: MAD = [(|7 - 13.5| + |20 - 13.5|) / 2] = 6.25

=> {8, 7}: MAD = [(|8 - 7.5| + |7 - 7.5|) / 2] = 0.5

=> {8, 8}: MAD = [(|8 - 7.33| + |8 - 7.33|) / 2] ≈ 0.67

=> {8, 20}: MAD = [(|8 - 13.5| + |20 - 13.5|) / 2] = 6.25

=> {20, 7}: MAD = [(|20 - 13.5| + |7 - 13.5|) / 2] = 6.25

=>{20, 8}: MAD = [(|20 - 13.5| + |8 - 13.5|) / 2] = 6.25

=> {20, 20}: MAD = [(|20 - 20| + |20 - 20|) / 2] = 0

The population MAD of 5.44 is not identical to any of the sample mean absolute deviations (MAD).

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Step-by-step explanation:

#if the question is g(x)=31(x-6)2+1

first we will find ordered pairs by substitute the value of x.

but first write clearly the equation please

Answer:

v = -4

Step-by-step explanation:

2(3v - 5) = 2(v - 11) - 4

6v - 10 = 2v - 22 - 4

     +10          +10

6v = 2v -12 - 4

-2v   -2v

4v = -16

divide both sides by 4

v = -4

Hope this helps!!

The value of v = - 4.

We have the following equation -

2(3v - 5) = 2(v - 11) - 4

We have to find out the value of the variable v.

The solution of an equation is the value of variable for which the left hand side is equal to right hand side.

We have the following equation -

2(3v - 5) = 2(v - 11) - 4

2 x 3v - 2 x 5 = 2v - 2 x 11 - 4

6v - 10 = 2v - 22 - 4

6v - 10 = 2v - 26

6v - 2v = - 26 + 10

4v = -16

v = - 4

Hence, the value of v = - 4.

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The statement " the zero division error exception is raised when the program attempts to perform the calculation x/y if y = 0 " is true

Th given statement is

The zero division error exception is raised when the program attempts to perform the calculation x/y if y = 0.

Zero Division Error is defined as the  built-in Python exception that is executing when a number is divided by 0. Therefore the Zero division error is executed when the denominator of the rational number is zero

Here, in the given situation the it attempting to perform the calculation x / y, and the value of the denominator y = 0. Therefore, the zero division error will be executed in such a situation

Therefore, the given statement is true

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Answer:

Step-by-step explanation:

Volume = (1/3) * base_area * height

1/3 * 4 * 4 * 9 =

48 cm³