What is the slope of line a?

(I didnt mean to click the -3/4 it was by accident)

Answer:

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

Given:

Find corresponding z-score:

Find the percent value of z-score using z-table:

Jeremy is in the top 2% so he will receive a certificate.

Rounding to the nearest tenth of a foot, the ramp length is 150.7 feet.

To find the length of the ramp, we can use the Pythagorean theorem, which states that in a right triangle, the square of the length of the hypotenuse (the ramp) is equal to the sum of the squares of the other two sides (the rise and the run).

We have the rise (15 feet) and the run (150 feet), so we can use the formula: ramp length = √(rise^2 + run^2)

Plugging in the values, we have: ramp length = √(15^2 + 150^2) = √(225 + 22500) = √22725 = 150.7 feet

Therefore, rounding to the nearest tenth of a foot, the ramp length is 150.7 feet.

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The value of the additions are

The addition operation is a mathematical operation that combines two or more numbers to produce a new number.

It is symbolized by the "+" sign and can be thought of as finding the total of two or more values.

In the problem, we have two numbers, 2 and 2, 30 and 30

the addition operation would give us 2 + 2 = 2, and 30 + 30 = 60

meaning that the sum of 2 and 2 is 4. and the sum of 30 and 30 is 60

Addition is one of the basic arithmetic operations and is essential for solving many mathematical problems.

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Expected Total Amount = $900

     The simple interest formula, I = PRT (P×R×T)

     where, P = principal amount

                 R = rate of interest

                 T = time period (years)

     so, I = PRT

     I = 500×0.04×20

     I = 400

 By adding the interest (400) to the principal amount (500) , hence she will have $900 in 20 years.

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Answer:

45 jeweled and 20 enameled music boxes.

Step-by-step explanation:

( j stands for jeweled and e stands for enameled )

j + e = 25        The equation for the original total of music boxes.

3j + 2e = 65    The equation for the current total of music boxes.

15{ j } + 10{e} = 25     Since the total is 25, I know that the variable will be a multiple of 5. (since that's the only way to get a number that ends in 5).

3(15) + 2(10) = 65  

45 + 20 + 65

The statement is false because the limit of the denominator is equal to zero.

In this case, the limit of the denominator (lim x→1 x2 3x − 4) is equal to zero, so this statement is false.

The limit of the quotient of two functions is equal to the quotient of their limits only when the limit of the denominator is not equal to zero.

In this case, the limit of the denominator (lim x→1 x2 3x − 4) is equal to zero, so this statement is false.

The statement is false because the limit of the denominator is equal to zero.

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The value of c is given as follows:

a) Radical form: [tex]c = \sqrt{80}[/tex]

b) Rounded to the nearest hundredth: 8.94.

The Pythagorean Theorem states that for a right triangle, the length of the hypotenuse squared is equals to the sum of the squared lengths of the sides of the triangle.

For this problem, we have that:

Applying the Pythagorean Theorem, the value of c is obtained as follows:

c² = a² + b²

c² = 4² + 8²

c² = 80

[tex]c = \sqrt{80}[/tex]

c = 8.94 -> nearest hundredth = two decimal digits.

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The member of the art club are making keychain that require 18 bead apiece and the art club adviser brought a bag with 250 bead for them to use, if there are 70 bead left in the end, then 5 keychain were made.

The member of the art club are making keychain that require 18 bead apiece.

The art club adviser brought a bag with 250 bead for them to use.

Let the member of the art club are make x keychain.

So the number of beads used in making x keychains = 18x

The left beads are 70.

So the total beads = 18x + 70

But they have total 250 beads.

So the equation should be:

18x + 70 = 150

Subtract 70 on both side, we get

18x = 80

Divide by 18 on both side, we get

x = 5

So the member of the art club were made 5 keychains.

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The measure of central tendency best suited for the given situation are mode (a), median (b) and mean (c) respectively.

a. The measure of central tendency best suited for this situation is the mode, because it would provide the most representative score of the favorite season. The mode is the most commonly occurring value in a set of data, so it would be useful for determining the most popular season among the sample of 50 adults.

b. The measure of central tendency best suited for this situation is the median, because it would provide the most representative score of the length of stay in the hospital after a routine appendectomy. The median is the middle value in a set of data when the values are arranged in numerical order, and it is not affected by very high or very low values (as the mean is). Therefore, it would be the most useful for determining the average length of stay in the hospital for this particular sample.

c. The measure of central tendency best suited for this situation is the mean, because it would provide the most representative score of the standardized reading test scores. The mean is the average of all the values in a data set, so it would be useful for determining the average score of the sample of children from the middle-class, suburban elementary school.

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Answer: l = (2x-3) ; b = (2x-10) ; Perimeter = (10x - 26)

Step-by-step explanation:

l * b = area

area = 6x^2 - 29x + 30

l * b = 6x^2 - 29x + 30

Split the middle term of 6x^2 - 29x + 30

6x^2 - 20x - 9x + 30

2x(3x-10) -3(3x-10)

(2x-3) (3x-10)

l = (2x-3)

b = (3x-10)

Perimeter of a Rectangle = 2(l+b)

= 2 ((2x-3) + (3x-10))

= 2( 2x-3 + 3x-10 )

= 2 (5x -13)

= (10x - 26)cm

Step-by-step explanation:

The definite integral of the function (2x - 3) with respect to x can be found using the antiderivative, also known as indefinite integration.

The antiderivative of (2x - 3) is:x^2 - 3x + C, where C is the constant of integration.

For the definite integral, we need to find the antiderivative over a given interval. To calculate the definite integral, we need to evaluate the antiderivative at the limits of the interval and subtract the values.So, for example, if the interval is from a to b, the definite integral is given by:∫_a^b (2x - 3) dx = (x^2 - 3x) |_a^b = (x^2 - 3x) evaluated at b - (x^2 - 3x) evaluated at a.The definite integral of the function y³ (2y² – 3) with respect to y can be found in a similar way. The antiderivative of y³ (2y² – 3) can be found using power rule of integration.The antiderivative of y³ (2y² – 3) is:(1/4) y⁴ - 3y² + C, where C is the constant of integration.The definite integral of the function can then be found by evaluating the antiderivative at the limits of the interval and subtracting the values, as described above.

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A unit circle has a radius of 1, so r = 1. The point P(9/10, y) in the IV quadrant will have a positive x-value and a negative y-value.

Using the Pythagorean theorem we know that, x² + y² = r², in a Cartesian coordinate system. We can solve for y by rearranging the formula, r² - x2 = y², or y = ±√(r² - x²).

y = ±√(r² - x²)

y = ±√([1]² - [9/10]²)

Simplify the expression we have

y = ±√(1 - 81/100)

y = ±√(1-0.81)

y = ±√0.19, we choose the negative for quadrant IV.

y = -√0.19

y = -0.4359

Sin -0.4359 = 26 degrees in the IV quadrant, = 360-26 =334 degrees

CosA = 0.4359 in the Iv quadrant is positive we chose the positive figure 64 degrees

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The ratio of the number of children present to the number of beads is 1:24.

Define ratio.

The ratio can be defined as the number that can be used to represent one quantity as a percentage of another. Only when the two numbers in a ratio have the same unit can they be compared. Ratios are used to compare two objects. A ratio in mathematics is a comparison of two or more numbers that shows how big one is in comparison to the other. The dividend or number being divided is referred to as the antecedent, and the divisor or number that is dividing is referred to as the consequent. A ratio compares two numbers by division.

Given,

Total number of student = 25

Total number of beads = 600

If one child is absent,

So, total number of student will be = 24

The ratio of the number of children present to the number of beads:

24:600

Simplifying,

1:25

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complete question

A cla of 25 children hare 600 bead. On a day when 1 child i abent, what i the ratio of the number of children preent to the number of bead?

Step-by-step explanation:

x=15 i hope thats the right answer

The number of students in vans are 13 whereas in buses it is 31.

A set of simultaneous equations, also known as a system of equations or an equation system, is a finite set of equations for which common solutions are sought.

Given that, the School A rented and filled 5 vans and 6 buses with 251 students, and School B rented and filled 6 vans and 14 buses with 512 students.

Let the number of student in vans be v and that of in buses be b, therefore, establishing the system of equations,

5v + 6b = 251.....(i)

6v + 14b = 512....(ii)

Multiplying eq(i) by 6 and eq(ii) by 5

30v + 36b = 1506...(iii)

30v + 70b = 2560....(iv)

Subtracting eq(iii) from (iv)

(30v + 70b = 2560) - (30v + 36b = 1506)

34b = 1054

b = 31

Put b = 31 in eq(i)

5v + 6×31 = 251

5v = 65

v = 13

Hence, the number of students in vans are 13 whereas in buses it is 31.

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The set of solutions are [-6,-3,3,8,10] for the inequality

a relationship between two expressions or values that are not equal to each other is called 'inequality.

The given inequalities are 4(x + 3) ≤ 0 or x+1>3

we know that, In this system of inequalities, for a value to be the solution of the system, it is enough that it satisfies at least one of the two inequalities.

x=-6

Substitute the value of x=-6 in the inequality 1

4(-6+3)≤ 0

-12≤ 0

The value of x=-6 is a solution of the compound inequality-----> It is not necessary to check the second inequality, because the first one satisfies

Substitute the value of x=-3 in the inequality 1

0≤ 0

The value of x=-3 is a solution of the compound inequality

Substitute the value of x=3 in the inequality 1

The value of x=3 is a solution of the compound inequality

The value of x=8 is a solution of the compound inequality

The value of x=10 is a solution of the compound inequality

Hence, the set of solutions are [-6,-3,3,8,10] for the inequality

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Work Shown:

y = (1/2)x + 6

y-6 = (1/2)x

2(y-6) = x

x = 2(y - 6)

x = 2y - 12

Answer:

The lowest score was 80, because no student had gotten that grade.

7 students scored higher than 85.

The highest score there was, was 70, cause 4 student got that for a grade.

The range is 3, because the highest amount of studnets was 4 and the lowest was 1.

4 - 1 = 3

Step-by-step explanation:

Hope this helps! =D

For each of the equations;

a) Two solutions

b) Two solutions

c) Two solutions

d) Two solutions

In mathematics, the number of solutions that the equation would have has a lot to do with the kind of equation that we are dealing with. If the equation that we are dealing with is a linear equation then it would have only one solution.

In the same way, if what we have is a quadratic equation of a system of linear equations that have two variables then we are going to have two solutions for the equation.

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The line y = - (1 / 3) · x + 4 is a equation perpendicular to line y = 3 · x + 7.

Algebraically speaking, lines are described by the following equation:

y = m · x + b

Where:

And two lines are perpendicular to each other if the product of their slopes is equal to:

m · m' = - 1

Where:

Now we proceed to determine the equation of the perpendicular line. First, write the slope of the original line:

m = 3

Second, calculate the slope of the perpendicular line:

m' = - 1 / 3

Third, find the y-intercept:

b = y - m' · x

b = 0 - (- 1 / 3) · 12

b = 4

Fourth, write the resulting equation of the line:

y = - (1 / 3) · x + 4

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Answer:

Option A: 1

Step-by-step explanation:

The higher the altitude, the lower the temperature.

The highest point is the peak which corresponds to Area 1

So area 1 has the lowest temperatures

Option A

Answer:

1

Step-by-step explanation:

The higher the atmosphere the lower the temperature which is why you often have snow on top of mountains and clouds form up so high

Step-by-step explanation:

Half is paid by grandparents :

[tex] \frac{19700}{2} = 9850[/tex]

Therefore, amount paid by scholarship and grandparents:

[tex]9850 + 5000 = 14850[/tex]

Find the amount needed to pay :

[tex]19700 - 14850 = 4850[/tex]

then the student need to save per month :

[tex]4850 \div 12 = 404.167[/tex]

Therefore the closest minimum is 405 per month

Answer:

Around $174

Step-by-step explanation:

Correct me if I'm wrong

9x16=144

144+30=174

Answer:

To calculate the speed of the car, you can use the following formula:

Speed = \frac{Distance}{Time}

In this case, the speed of the car is:

Speed = \frac{44 ft}{0.5 s} = 88 ft/s

To convert from feet per second to miles per hour, you can use the following formula:

Miles per hour = \frac{Feet per second}{1.467}

Therefore, the speed of the car is:

Miles per hour = \frac{88 ft/s}{1.467} = 59.89 mph

Answer:

60 miles per hour

Step-by-step explanation:

44ft/0.5 sec * 60sec/1min * 60min/1hr * 1 mile/5280ft =

(44*60*60*1)/(0.5*1*1*5280) =

158400 miles / 2640 hour =

158400÷2640 =

60 miles per hour .

Answer:

64 2s..?

Step-by-step explanation:

I sure as hell wouldn't trust this awnser bcz I got it from a friend-..

On solving the provided question we can say that since it is given that triangles are similar and 1/2 of each other so DE will be = 13

A triangle is a polygon since it has three sides and three vertices. It is one of the basic geometric shapes. The name given to a triangle containing the vertices A, B, and C is Triangle ABC. A unique plane and triangle in Euclidean geometry are discovered when the three points are not collinear. Three sides and three corners define a triangle as a polygon. The triangle's corners are defined as the locations where the three sides converge. 180 degrees is the result of multiplying three triangle angles.

since it is given that triangles are similar and 1/2 of each other

so DE will be = 13

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yes ,it is easier to get a precise estimate of the binomial parameter when π is near 0 or 1 than when it is near 1/2

in binomial distributions, we have parameters for the probability of success or failure (either of the two conditions that the variable may take), and for the number of trials, which turn out to be easier to estimate for extreme values.

Due to the estimator's decreasing standard error, it is simpler to estimate a binomial parameter when it is closer to 0 or 1 than when it is 0.50. Since the latter has p(1 - p) in its numerator, a value close to 0 or 1 reduces the standard error to almost zero. It is simpler to estimate a binomial parameter correctly when the standard error of the estimate is exceptionally low. It is more challenging to estimate when the parameter is 0.50, which reflects the highest amount of inaccuracy. As either event is equally likely, a value of 0.50 can be thought of as introducing greater ambiguity. When it's far away from 1 or 0, it appears to be much more likely that one of the answers is correct.

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Answer:

the answer is 77

Step-by-step explanation:

suppose the answer is z and the width is x
the perimeter would be 4x+8 = 36
4x = 28
x=7
7+4=11
7*11=77

One possible transformation is a Rotation, followed by a Translation.

There are rigid and non-rigid transformations (where the preimage's size or shape is left unaltered) (where the size is changed but the shape remains the same). These are the fundamental principles that this idea abides by. It is a simple method for transforming 2D shapes.

By separating between planar transformations and spaces, the transformation can be grouped according to the dimensions of the operand sets. They can be categorised based on their characteristics as well.

An object's image will resemble its pre-image when its size is changed, whether for larger or smaller objects. Dimensions are proportionally equal for the similar figures.

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Complete question: