Use the drop-down menus to compare −5.25 and −6.

A number line. Points are plotted at negative 5 and 25 hundredths and at negative 6.
CLEAR CHECK
−5.25
−6 because −5.25 is ...
−6 on the number line.

Answer:

0.67 or 67%

Step-by-step explanation:

The probability that a single part will pass inspection is 0.93, so the probability that all 5 parts will pass inspection is (0.93)^5 = 0.67 or 67%.

The solution is 0.67 or 67%,  is the probability that the next 5 part examined will all pass inspection.

Probability can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event.

here, we have,

given that,

Understand Only 93% of the airplane parts being examined pass inspection.

now, we have to find that the probability that the next 5 part examined will all pass inspection.

now, we have,

The probability that a single part will pass inspection is 0.93,

so the probability that all 5 parts will pass inspection is :

(0.93)^5

= 0.67

= 67%.

Hence, The solution is 0.67 or 67%,  is the probability that the next 5 part examined will all pass inspection.

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The base of a exponential function is not allowed to equal 1 because it would create a graph that would violate the properties of the exponential functions.

An exponential function cannot produce an increasing graph when base is taken as 1. This would lead to violation of its properties. However, an exponential function can have any positive number as its base, however some bases are more advantageous than others. The base 2 is useful, for instance, in computer science applications. The number represented by the letter e, however, is the most significant base. A function of the form is an exponential function, when:

f(x) = b^x

where x is any real value and b is a positive constant. B is frequently referred to as the base. Typically, the particular case b=1 is not considered because it would only produce the constant function f(x) = 1.

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The solution to the quadratic equations are

a) The number of seconds for the ball to reach the ground is t = 5 seconds

b) The number of seconds to reach the maximum height T = 2 seconds

c) The maximum height of the ball is h ( 2 ) = 144 feet

A quadratic equation is a second-order polynomial equation in a single variable x , ax² + bx + c=0. with a ≠ 0. Because it is a second-order polynomial equation, the fundamental theorem of algebra guarantees that it has at least one solution. The solution may be real or complex.

The roots of the quadratic equations are

x = [ -b ± √ ( b² - 4ac ) ] / ( 2a )

where ( b² - 4ac ) is the discriminant

when ( b² - 4ac ) is positive, we get two real solutions

when discriminant is zero we get just one real solution (both answers are the same)

when discriminant is negative we get a pair of complex solutions

Given data ,

Let the quadratic equation be represented as h ( t )

Now , the equation will be

h ( t ) = -16t² + 64t + 80   be equation (1)

a)

The number of seconds for the baseball to reach the ground be t

The height when the ball reaches the ground will be h = 0

Substituting the value of h ( t ) = 0 , we get

0 = -16t² + 64t + 80

On simplifying the equation , we get

16t² - 64t - 80 = 0

Divide by 16 on both sides of the equation , we get

t² - 4t - 5 = 0

On factorizing the equation , we get

t² + t -5t - 5 = 0

t ( t + 1 ) - 5 ( t + 1 ) = 0

( t - 5 ) ( t + 1 ) = 0

The value of t is time and it is not negative

So , when ( t - 5 ) = 0

Adding 5 on both sides of the equation , we get

t = 5 seconds

b)

The number of seconds the baseball to reach the maximum height be T

And graph of the function is a parabola open down because the leading coefficient is negative. Therefore, to get the maximum height we just have to find the vertex of this parabola

T = ( -b / 2a )

On simplifying the equation , we get

T = ( -64 / ( 2 ( 16 )

T = -64 / 32

T = 2 seconds

c)

The maximum height of the baseball is when T = 2

Substituting the value of t = 2 in the equation , we get

h ( t ) = -16t² + 64t + 80

h ( 2 ) = -16 ( 2 )² + 64 ( 2 ) + 80

On simplifying the equation , we get

h ( 2 ) = -64 + 128 + 80

h ( 2 ) = 64 + 80

h ( 2 ) = 144 feet

Hence , the equation is solved

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The is 1 four-digit integers that is a perfect squares and perfect cube and it is 4096

A perfect cube is the cube of a whole number, found by multiplying a whole number by itself three times. For example, the number 8 is a perfect cube because 2 × 2 × 2 = 8 .

A perfect square is a number that can be expressed as the product of an integer by itself or as the second exponent of an integer. For example, 25 is a perfect square because it is the product of integer 5 by itself, 5 × 5 = 25.

The only four-digit integers that is a perfect square and a perfect cube is 4096

i.e 64² = 4096

16³ = 4096

Therefore the number of four-digit number that is a perfect square and a perfect cube is 1

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The subtraction of the expression (5x + 1/3) - (3x - 1/6) is given by 2x + 1/2

Subtraction refers to one of the mathematical operations which involves finding the difference between expressions or values.

(5x + 1/3) - (3x - 1/6)

Open parenthesis

= 5x + 1/3 - 3x + 1/6

Collect like terms

= 5x - 3x + 1/3 + 1/6

= 2x + (2+1) / 6

= 2x + 3/6

= 2x + 1/2

In conclusion, 2x + 1/2 is the result of the given expression (5x + 1/3) - (3x - 1/6)

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Answer:

2x + (1/2)

Step-by-step explanation:

Given expression,

→ (5x + (1/3)) - (3x - (1/6))

Let's simplify the expression,

→ (5x + (1/3)) - (3x - (1/6))

→ 5x + (1/3) - 3x + (1/6)

→ (5x - 3x) + ((1/3) + (1/6))

→ (2x) + ((2 + 1)/6)

→ 2x + (3/6)

→ 2x + (1/2)

Hence, answer is 2x + (1/2).

The required graph has been attached below which represents the inequality x ≥ 11 on a number line.

Inequality is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are not equal.

The inequality is given in the question, as follows:

x ≥ 11

In math, a number line can be defined as a straight line with numbers arranged at equal segments or intervals throughout.

A number line is typically shown horizontally and can be extended indefinitely in any direction.

Thus, the graph has been attached below which represents the inequality on a number line.

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The range of the set is 21

The mean of the set is 10.1

The median of the set is 8

The mode of the set is 6

The median is the value that's exactly in the middle of a data set when it is ordered. It's a measure of central tendency that separates the lowest 50% from the highest 50% of values. The steps for finding the median differ depending on whether you have an odd or an even number of data points

Arrange the data points from smallest to largest.

If the number of data points is odd, the median is the middle data point in the list.

If the number of data points is even, the median is the average of the two middle data points in the list.

Given data ,

The range of the set is the difference of the largest and the smallest value in the set

So , the range R = 26 - 4 = 21

The mean of the set be represented as A

The value of A = sum of observations / total number of values in the set

The mean of A = ( 8 + 4 + 12 + 10 + 6 + 25 + 6 ) / 7

The mean of A = 71 / 7

The mean of A = 10.14

Now , the median of the set be represented as B

For calculating the median of the set

Arrange the data points from smallest to largest

The number of elements in the set is 7 which is odd

So , B = { 4 , 6 , 6 , 8 , 10 , 12 , 25 }

The median of B = the middle term of the set

The median B = 8

Now , the mode of the set be represented as C

The mode C = the mode is the value that appears the most often in a data set

So , the number 6 is the value that appear more in the set

The mode C = 6

Hence , the mean , median and mode is 10.14 , 8 and 6 respectively

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Answer: A polynomial is a mathematical expression that is composed of a sum of powers in one or more variables (indeterminates) with non-negative integer exponents, and coefficients that are real numbers.

Out of the options given, option "b" is not a polynomial.

Option "a" √3x^2-2√3x+3 is a polynomial, it consists of terms with non-negative integer exponents (x^2, x^1) and the coefficients are real numbers (√3, -2√3, 3)

Option "c" x+1/x is not a polynomial , it's called a rational function, it consists of one polynomial divided by another polynomial, it's not a polynomial because of the fraction 1/x

Option "d" 5x^2-3x+ √2 is a polynomial, it consists of terms with non-negative integer exponents (x^2, x^1) and the coefficients are real numbers (5, -3, √2)

So, option "b" 3x^3/2-5x^2-1/√2x-1 is not a polynomial, because of the fraction and the non-integer exponent (3/2)

Step-by-step explanation:

The required center of dilation and scale factor of a dilation is given as (0, -5) and k = 4/3. Option D is correct.

The scale factor is defined as the ratio of the modified change in length to the original length.

here,
To determine the center of dilation,
Draw a straight line Joining BB' and AA', this line meets at a point (0, -5) so this point is the required center of dilation.

Now,
From the ceter of the dilation,
The scale factor of the dilation is given as,
SF = OB'/OB
SF = 4/3

Thus, the required center of dilation and scale factor of a dilation is given as (0, -5) and k = 4/3. Option D is correct.

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The approximate annual cost of raising a child born in 2013 at age 17 is 15230.

Scatter plots are used to observe and plot relationships between two numeric variables graphically with the help of dots. The dots in a scatter plot shows the values of individual data points.

a) Plot (2, 12,940), (5, 12,970), (8, 12,800), (11, 13,600) 1nd (14, 14420) on graph.

b) (8, 12800) and (14, 14420)

Here, slope m=(14420-12800)/(14-8)

= 1,620/6

= 270

Substitute m=270 and (x, y)=(8, 12800) in y=mx+c, we get

12800=270(8)+c

12800=2160+c

c=10640

Substitute m=270 and c=10640 in y=mx+c, we get

y=270x+10640

c) Now, substitute x=17 in y=270x+10640, we get

y=270×17+10640

y=15230

Therefore, the approximate annual cost of raising a child born in 2013 at age 17 is 15230.

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The time it would take the space craft to reach earth from Mars would be: 1440 hours

the distance from Mars to Earth = 57.6 million km

= 57, 600,000 km

The time it takes the space craft to travel per km = 40000

We would use the formula t = d / v

where t is the unknown time we want to find

d is the distance =  57, 600,000 km

v is the velocity or speed = 40000

Hence we have

t = 57,600,000 / 40000

= 1,440 hours

It would take the space craft 1440 hours to reach mars from earth

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The graph of the Equation and Inequalities is attached below.

The graph is simply a structured representation of the data. It aids in our comprehension of the data. The numerical information gathered through observation is referred to as data.

In a line graph, the information or data is represented as a series of markers, or dots, and is then connected to one another by a straight line.

Usually, data that varies over time is represented with a line graph.

Given:

1. 2y – 4x < 8

The region is shaded by red region.

and, the inequality intersect y axis at 4 and x axis at -2.

2.  -4y > -x + 12

The region is shaded by red region.

and, the inequality intersect y axis at -3 and x axis at 12.

3. | x + 3 |= y

The vertex of the equation is (-3, 0)

4. |2x – 6| + 2 = y

The vertex of the equation is (3, 2)

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Answer: 9.8 feet!

Step-by-step explanation:

The straight line along which the squared vertical distances from the data points are reduced is known as the regression line. minimization of the squared vertical distance between the points and the line for a straight line.

What does regression line mean?

An estimated linear relationship between two variables, which is known as the real but unobserved linear relationship, is shown by a regression line. A given value for the explanatory variable is used to predict (or estimate) the value of the response variable using the equation of the regression line.

What does the term "regression line" mean?

Regress, which is derived from the Latin verb "regressus" (to go back), is the root of the word "regression" (to something). Regression, in this sense, is a method that enables "going back" from muddled, difficult-to-interpret data to a more understandable and valuable model.

                               The degree to which both variables can move in unison is defined by correlation. Regression, however, identifies how a change in the unit of a known variable (p) affects a variable that is being evaluated (q).

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If the angle ∠S and ∠Y are complementary angles. Then the measure of the angle ∠Y will be 40°.

The inclination is the separation seen between planes or vectors that meet. Degrees are another way to indicate the slope. For a full rotation, the angle is 360°.

Corresponding angle - If two lines are parallel then the third line. The corresponding angles are equal angles.

Suppose you know that ∠S and ∠Y are complementary and that ∠S = 5(∠Y) − 150°.

Then the other equation is given as,

∠S + ∠Y = 90°

5(∠Y) − 150° + ∠Y = 90°

6 (∠Y) = 240°

∠Y = 40°

If the angle ∠S and ∠Y are complementary angles. Then the measure of the angle ∠Y will be 40°.

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The equation used to determine the regular price is :

5(p - 1.50) = 48.75

Regular price of a hat and glove set = $11.25

The correct option is (B).

Equations are mathematical statements containing two algebraic expressions on both sides of an 'equal to (=)' sign. It shows the relationship of equality between the expression written on the left side with the expression written on the right side.

Given,

No. of hat and glove sets Mrs. James bought = 5

Discount with each coupon = $1.50

Total cost after using coupons = $48.75

Regular price of Hat and glove set = p

Cost of hat and glove set = p - $1.50

Cost of 5 sets of hat and glove = 5(p - 1.50)

By the question,

5(p - 1.50) = 48.75

p - 1.50 = 9.75

p = 9.75 + 1.50

p = 11.25

Regular price of a hat and glove set = $11.25

Hence, $11.25 is regular price of a hat and glove set,

5(p - 1.50) = 48.75

is the equation used to determine the regular price.

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Answer:

Step-by-step explanation:

1.7108 is the answer

Answer: Proportional and nonproportional linear relationships can be used to solve problems by creating equations and using them to find unknown values. A proportional linear relationship is a relationship in which the ratio of the dependent variable to the independent variable is constant. For example, y = kx is a proportional linear relationship, where k is the constant of proportionality. Nonproportional linear relationships, on the other hand, have a variable ratio between the dependent and independent variables. For example, y = mx + b is a nonproportional linear relationship, where m is the slope and b is the y-intercept.

To solve a system of equations is to find the values that make all the equations in the system true simultaneously. This can be done by using methods such as substitution, elimination, or graphing.

A system of equations is a set of two or more equations with the same variables, and solving such a system is finding the values of the variables that satisfy all the equations in the system.

For example, if we have a system of two equations,

y = 2x+1

y = -x+5

we can solve it by finding the values of x and y that make both equations true at the same time.

In summary, proportional and nonproportional linear relationships can be used to solve problems by creating equations and using them to find unknown values. Solving a system of equations is finding the values of the variables that satisfy all the equations in the system.

Step-by-step explanation:

Answer:

Lisa is 8 years old.

Step-by-step explanation:

If Lisa's father is 42, then we can easily find out what Lisa's age is from the problem. We simply just have to create an equation and then solve it.

The equation:

5x + 2 = 42

Solving said equation:

5x = 42 - 2

5x/5 = 40/5

x = 8

What you do to one side, must be done to the other.

Hope this helps!

Answer:

X=3+1/8

Step-by-step explanation:

X * 40/6 = 125/6

(Multiply each side by 6 to get rid of the denominator)
X *40=125
Divide each side by 40
X = 125/40
X= 25/8
X=3+1/8

Answer:

-4d - 6

Step-by-step explanation:

-1/3(12d+18)

-4d - 6

That is the simplest we can simple the function

So, the answer is -4d - 6

Answer:

The process of writing all numbers as a product of prime.

Step-by-step explanation:

For example, if we have something like the number 20. We can break that down into two factors. We can say, “well, that's 4 times 5.” And notice, 5 is a prime number. Hope it helps!

Therefore , the solution to the given problem of function comes out to be f(5) = -8.

Mathematics encompasses variables and their changes, equations and related structures, form locations and forms themselves. The relationship between a number of inputs, each of which has an associated output, is referred to as a "function." An association between inputs and outputs that yields a single, distinct outcome is known as a function. Each function has a realm and with a requested request, or scope, allocated to it. The letter f is frequently used to represent , equation functions (x). An x is entered. The four primary kinds of activities that are offered are on activities, each functions, numerous features, within characteristics, and on functions.

Here,

Given :

x -4 -1 3 5

=> f(x) -2 5 4 -8

The value of f(x) at x = 5 is f(5).

=> f(5) = -8

Therefore , the solution to the given problem of function comes out to be f(5) = -8.

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There is not sufficient data provided to answer the question. So it cannot be answered.

To find the length of the part of the ramp that is on the ground, we need to know the angle of the ramp and the height of the ramp. If the height of the ramp is 6 inches, and we know the angle of the ramp, we can use the Pythagorean theorem to find the length of the ramp.

The Pythagorean theorem states that in a right triangle, the square of the hypotenuse (the ramp in this case) is equal to the sum of the squares of the other two sides. If we call the length of the ramp "x", and the height of the ramp "h", we can write the equation as:

x^2 = h^2 + (6 inches)^2

We don't have the angle of the ramp, so we can't use the Pythagorean theorem. Therefore, we can't find the length of the part of the ramp that is on the ground with the information given. To find the length, we would need additional information, such as the angle of the ramp or the length of the ramp.

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The length of each square Kumar cuts is 10cm and 13cm, and altogether he cuts 130 squares.

Given that,

Length of paper = 65 cm

Breadth of paper = 50 cm

The length of each square,

The greatest common factor of 65 and 50 is 5.

So,

50/5 = 10

65/5 = 13

Therefore the length of each square is 10cm and 13cm.

To find the number of squares cut altogether ,

10 x 13 = 130 squares.

Therefore altogether Kumar cuts 130 squares.

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Answer:

3w(3w²+5)(3w²-5)

The sum of the lengths of any two sides of a triangle must exceed the length of the third side; therefore, 5+7 > x, which cannot happen if x = 13.

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Answer:

This is a combination problem, where order doesn't matter.

We want to find the number of ways to choose 3 exercises from a list of 25, which is denoted as 25C3.

This is also equal to (252423) / (321) which is equal to 2300.

Therefore, there are 2300 different groups of 3 exercises the fitness coach can choose from the list of 25 exercises.

Step-by-step explanation:

Mia is rolling a pair of 666-sided dice. P(n)p(n)p, left parenthesis, n, right parenthesis models the probability of the event that the sum of the dice is nnn. The number type is more appropriate for the domain of ppp is {n | n ∈ N, 2 ≤ n ≤ 12}

A perfect dice has six faces and is exactly cubical in shape. Each face has one of the numerals 1, 2, 3, 4, 5, or 6, and any two faces can have a different digit.

Now that two dice have been rolled, P(n) simulates the likelihood that the total of the two dice's faces will be n.

The domain of P is therefore given by,

{n | n ∈ N, 2 ≤ n ≤ 12}

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The coordinates of the image of point Y following these modifications are thus -2.

After these adjustments, the image of point Y has coordinates that are -2.

The coordinates of the image of point Y following these modifications are thus -2.

The complete question is,
The figure below is translated up 2 units and then rotated 180° counterclockwise. What are the coordinates of the image of point Y after these transformations?

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