How do you do c) really need help!!

Answer:

The equation of a line in slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.

In this case, the y-intercept is (0, -1) and the slope is 4. So we have:

y = 4x - 1

Therefore, the equation of the line with y-intercept (0, -1) and slope 4 is y = 4x - 1.

The correct methods for mental arithmetic are those that break down the calculation into smaller, easier-to-manage parts and simplify the calculation to make it easier to solve.

The correct methods for "thinking out computation" (mental arithmetic) are a, b, and c.

a) 7+8 Think: 7 plus 7 is 14, plus 1 more is 15. This method is correct because it breaks down the calculation into smaller, easier-to-manage parts.

b) 38 - 17 Think: 38 minus 10 is 28, minus 7 more is 21. This method is also correct because it simplifies the calculation by subtracting 10 first, and then subtracting the remaining 7.

c) 999 x 3 Think: 1000 threes is 3000 minus 1 three is 2997. This method is correct because it simplifies the calculation by multiplying 1000 by 3 first, and then subtracting 1 three to get the correct answer.

d) 150 ÷ 3 Think: what equals 150 x 3, that's 450. This method is incorrect because it is actually doing the opposite operation (multiplication instead of division) and therefore does not result in the correct answer. The correct method would be to think about how many times 3 can go into 150, which is 50.

In conclusion, the correct methods for mental arithmetic are those that break down the calculation into smaller, easier-to-manage parts and simplify the calculation to make it easier to solve.

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The correct methods for "thinking out computation" (mental arithmetic) are:
A) 7+8 Think: 7 plus 7 is 14, plus 1 more is 15
B) 38 - 17 Think: 38 minus 10 is 28, minus 7 more is 21
C) 999 x 3 Think: 1000 threes is 3000 minus 1 three is 2997
D) 150 ÷ 3 Think: what equals 150 x 3, that's 450

All four methods of "thinking out computation" provided in the question are correct and valid.

Method (a) is using the "doubles" method, which is a common mental arithmetic technique. By recognizing that 7+7 is 14, it is easy to add 1 more to get 15.

Method (b) is using the "subtracting by tens" method. By recognizing that 38 minus 10 is 28, it is easy to subtract 7 more to get 21.

Method (c) is using the distributive property of multiplication. By recognizing that 999 is very close to 1000, we can multiply 3 by 1000 and then subtract 3 to get 2997.

Method (d) is using the inverse operation of multiplication. By recognizing that 150 is a multiple of 3, we can think of 150 as 3 times some unknown number, and then determine that number by dividing 150 by 3. The answer is 50, which is the same as thinking of what equals 150 times 3 (450).

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Area of the parallelogram, using the area formula = 851 in².

The area of a parallelogram, which is expressed in square units, is the total number of unit squares that may fit inside of it (like cm², m², in² etc). It is the region that a two-dimensional parallelogram encloses or encompasses.

Hence, the following formula can be used to determine a parallelogram's area:

Area of a parallelogram is equal to b × h square units, where b is the base's length and h is its height.

Here in the question,

b = 37in.

h = 23in.

Area = b × h

= 37 × 23

= 851 in²

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The equation of the circle centered at (-4,3) with radius 3 is (x + 4)^2 + (y - 3)^2 = 9. Simplifying this equation means to simplify the terms in the equation by using the Pythagorean Theorem. The Pythagorean Theorem states that in a right triangle, the sum of the squares of the two sides is equal to the square of the hypotenuse.

In this equation, the hypotenuse is the radius, which is 3, and the sides are (x + 4) and (y - 3). Substituting the values into the Pythagorean Theorem, we get (x + 4)^2 + (y-3)^2 = 9, which is the equation of the circle centered at (-4,3) with radius 3. This equation can be simplified further by factoring the terms, which yields (x + 4) (x + 4) + (y - 3) (y - 3) = 9. This is the fully simplified equation of the circle.

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The answer to this question is as follows Given that this is a equation contradiction, 4C(-3) = 8 cannot be satisfied for any value of C. As a result, this equation cannot be solved.

A mathematical equation links two statements and utilises the equals sign (=) to indicate equality. In algebra, an equation is a mathematical assertion that proves the equality of two mathematical expressions. For instance, in the equation 3x + 5 = 14, the equal sign separates the numbers by a gap. A mathematical formula may be used to determine how the two sentences on either side of a letter relate to one another. The logo and the particular piece of software are usually identical. like, for instance, 2x - 4 = 2.

4C(-3) = 8

The phrase 4C(-3), which calls for multiplying 4 by the value of C when it equals -3, has to be evaluated.

4C(-3) = 4 x C(-3) (-3)

We must now determine what C(-3) is. This requires entering -3 for the C expression:

C(-3)

By understanding that this phrase refers to the value of C when it is equal to -3, we can make it simpler. C(-3) thus equals 3.

When we add this value back into the formula, we obtain:

4C(-3) = 4 x C(-3) = 4 x (-3) = -12

But, because we were informed that 4C(-3) = 8, we have:

8 = -12

Given that this is a contradiction, 4C(-3) = 8 cannot be satisfied for any value of C. As a result, this equation cannot be solved.

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The two functions are not equivalent.

The given functions f(x,y) = x^2 + 3y^2 and f′(x,y) = x^2 + 4xy + 7y^2 are not equivalent.

To determine if two functions are equivalent, we can compare their equations and see if they are the same. In this case, the equations of the two functions are different. The first function, f(x,y), has a term of 3y^2, while the second function, f′(x,y), has a term of 4xy and a term of 7y^2.

Therefore, the two functions are not equivalent.

It is important to note that two functions can have different equations but still be equivalent if they produce the same output for any given input. However, in this case, the two functions will produce different outputs for the same input, so they are not equivalent.

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Therefore, the order from least to greatest is:d<f<a<b<c<e

d. 2√2 x √5 ≈ 5.66, f. 3√2 x √3 ≈ 6.00, a. 4√3 = 4 x √(3) ≈ 6.93, b. 3√5 ≈ 6.71, c. 5√2 ≈ 7.07, e. 2√13 ≈ 7.21

To arrange these radicals in order from least to greatest, we need to simplify them and compare the values. We can start by simplifying the radicals using prime factorization.

a. 4√3 = 4 x √(3) = 4 x√(3)

b. 3√5 = 3 x √(5)

c. 5√2 = 5 x√(2)

d. 2√10 = 2 x √(25) = 2 x √(2) x √(5) = 2√2 x√5

e. 2√13 = 2 x √(13)

f. 3√6 = 3 x √(23) = 3 x √(2) x √(3) = 3√2 x √3

Now, we can compare the values of the radicals by comparing their coefficients and the values inside the radical:

a. 4√3 = 4 x √(3) ≈ 6.93

b. 3√5 ≈ 6.71

c. 5√2 ≈ 7.07

d. 2√2 x√5 ≈ 5.66

e. 2√13 ≈ 7.21

f. 3√2 x √3 ≈ 6.00

Therefore, the order from least to greatest is:

d. 2√2 x √5 ≈ 5.66

f. 3√2 x √3 ≈ 6.00

a. 4√3 = 4 x √(3) ≈ 6.93

b. 3√5 ≈ 6.71

c. 5√2 ≈ 7.07

e. 2√13 ≈ 7.21

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Answer:

We need to find out how many trips Billy needs to make to transport 80 cubic meters of mulch. Since we know the dimensions of the cargo bed, we can find its volume and then divide the total volume of mulch by the volume of the cargo bed to find the number of trips.

The volume of the cargo bed is:

V = l × w × h

where l is the length, w is the width, and h is the height. Using the dimensions given in the diagram, we get:

V = 4 m × 2.5 m × 1.5 m = 15 cubic meters

Now we can divide the total volume of mulch by the volume of the cargo bed to find the number of trips:

Number of trips = total volume of mulch / volume of cargo bed

Number of trips = 80 cubic meters / 15 cubic meters ≈ 5.33

Since Billy cannot make a fractional number of trips, he will need to make 6 trips to transport all the mulch to his house.

Answer:

-1 and 0

Step-by-step explanation:

This is a set of simultaneous equations. To solve them, you need to substitute one into the other. The easiest way to do this would be to rearrange x - y = -6 to make x the subject:

x = -6 + y

x = y - 6

Now we can substitute this equation into y = -x^2 + 5x + 6:

y = -(y - 6)^2 + 5(y - 6) + 6

Now simplify this equation, and rearrange to make it equal to 0:

y = -y^2 + 12y - 36 + 6

y = -y^2 + 12y - 30

0 = -y^2 + 12y - y - 30

-y^2 + 11y - 30 = 0

Now solve this quadratic equation to obtain two solutions:

y = 5, y = 6

Now substitute these values back into one of the starting equations to find the respective values for x:

When y = 5:

x - 5 = -6

x = -1

When y = 6

x - 6 = -6

x = 0

Therefore, the x solutions are -1 and 0.

Answer: Your welcome!

Step-by-step explanation:

14

13

12

11

10

9

8

7

6

O

6

7 8 9 10 11 12 13

10

1415

The answer is 14, 13, 12, 11, 10, 9, 8, 7, 6, O, 6, 7, 8, 9, 10, 11, 12, 13, 10, 14, 15. This is the result of translating the shape by the vector (5, 4). The original shape was shifted 5 units to the right and 4 units down, resulting in the new shape.

Answer:

277 milliliters

Step-by-step explanation:

945 - 668 = 277

hope this helpz ya

Answer:

277 milliliters

Step-by-step explanation:

Initial volume of ice tea = 945 milliliters

Final volume of ice tea = 668 milliliters

∴Difference in the volume of ice tea = How much tea Jeffrey drank

                                                              = Final volume - Initial volume

                                                            = [tex](945 - 668)[/tex] milliliters

                                                            = [tex]277[/tex] milliliters

Answer:

the average payout should be $157,100

hope this helps <3

Let x be the total value of the estate.

According to the problem, the youngest child received 1.25 million and the share of each child is half of the remainder of the estate after the previous child has received their share.

So, the fourth child received 1.25 million, which is half of what the third child received. Therefore, the third child received 2.5 million.

Similarly, the second child received 2 times what the third child received, which is 5 million.

Finally, the first child received 2 times what the second child received, which is 10 million.

Adding up all the shares, we get:

1st child: 10 million

2nd child: 5 million

3rd child: 2.5 million

4th child: 1.25 million

Total: 18.75 million

Therefore, the total value of the estate is 18.75 million, which is closest to option a, 18.25 million.

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The ratios of online sales to shop sales of A jewelery shop which sold 240 necklaces in a month is equals to the 3:1.

We have a jewelery shop and they sold there necklaces to the different shops.

Total number of sold necklaces in a month = 240

Number of online sold necklaces in a month = 180

Total online sales of jewelery shop = 180

and rest of necklaces were sold in a high street shop. So, the number of sold necklaces in high street shop during a month = total number of sold necklaces - online sold necklaces

= 240 - 180 = 60

Total shop sales jewelery shop = 60 necklaces

Ratio is used to determine the relationship between two or more things ( like size, quantity, etc.). It is represented by a/b or a : b ( read as a ratio b). Here, we have to calculate the ratios of online sales to shop sales. So, the ratio of online sales to shop sales = 180 : 60 or 180/60

Simplify the expression,

=> 180/60 = 3

Hence, required ratio is 3: 1.

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The solution to the given inequality |3x + 4| > 6 is x < -10/3 or x > 2/3

Inequality is a statement that is of two quantities in which one is specifically less than (or greater than) another. The symbols of inequality includes;

Greater than >

Less than <

Equal to =

Greater than or equal to ≥

Less than or equal to ≤

|3x + 4| > 6

First case:

+(3x + 4) > 6

3x + 4 > 6

subtract 4 from both sides

3x > 6 - 4

3x > 2

divide both sides by 3

x > 2/3

Second case:

-(3x + 4) > 6

-3x - 4 > 6

Add 4 to both sides

-3x > 6 + 4

-3x > 10

x < 10/-3

Hence, x < -10/3 or x > 2/3

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Answer:

  75 cm

Step-by-step explanation:

You want to know the length of the struts between the edge of a parabolic dish 120 cm in diameter and 15 cm deep, and the collector at the focus of the dish.

The equation of a parabola with its vertex at the origin and passing through points (±60, 15) can be written as ...

  y/15 = (x/60)² . . . . parabola scaled vertically by 15, horizontally by 60

  240y = x² . . . . . .  multiply by 3600

  4(60)y = x² . . . . . factor out 4 from the coefficient of y

This equation is of the form ...

  4py = x²

where p = 60 is the distance from the vertex to the focus. Since the dish is 15 cm deep, the focus lies 60-15 = 45 cm above the edge of the dish.

The length of each strut from the edge of the dish to the focus will be the hypotenuse of a right triangle with legs 45 and 60. The Pythagorean theorem tells us that length is ...

  c² = a² +b²

  c = √(a² +b²) = √(45² +60²) = 15√(9+16) = 75

The length x of each strut is 75 cm.

A box and whisker plot is the appropriate display for the data, as it shows the minimum and the maximum value of the data-set, while the range is the difference of the maximum value by the minimum value.

From left to right, the five features of the box and whisker plot are listed as follows

The range of a data-set is given as follows:

Range = Maximum value - Minimum value.

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Answer: the number that goes beneath the radical symbol is 17

The order of the values from least to greatest is -2 1/4, -1 3/4, -1 1/4, 3/4, and 1 1/4.

The values can be compared using order of operations. First, we need to calculate the numerical values of each fraction. -2 1/4 is equal to -2.25, 1 1/4 is equal to 1.25, -1 3/4 is equal to -1.75, 3/4 is equal to 0.75, and -1 1/4 is equal to -1.25.

To order the values from least to greatest, we can use the following formula:

n1 < n2 < n3 < n4 < n5

Where n1 is -2.25, n2 is -1.75, n3 is -1.25, n4 is 0.75, and n5 is 1.25.

Therefore, the order from least to greatest is -2 1/4, -1 3/4, -1 1/4, 3/4, and 1 1/4.

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The distribution is  X ~ N(46, 19), the probability that a randomly selected student's time will be between 42 and 44 minutes is 0.04147. the probability that the average time studying for the 50 students is between 42 and 44 minutes is 0.1601.

a. X ~ N(46, 19)

b. e is not defined in the problem, so it does not have a distribution.

c. z ~ N(0, 1) (standard normal distribution)

d. To find the probability that one randomly selected student's time will be between 42 and 44 minutes, we first standardize the values:

z = (44 - 46) / 19 = -0.1053

z = (42 - 46) / 19 = -0.2105

Using a standard normal table or calculator, we can find the area under the standard normal curve between these two z-scores:

P(-0.2105 < z < -0.1053) = 0.04147

Therefore, the probability that a randomly selected student's time will be between 42 and 44 minutes is 0.04147.

e. To find the probability that the average time studying is between 42 and 44 minutes, we need to use the central limit theorem. Since we have a large enough sample size (n = 50) and the population standard deviation is known, we can use the following formula to standardize the sample mean:

z = (x - μ) / (σ / √n)

Substituting the given values:

z = (44 - 46) / (19 / √50) = -0.7443

z = (42 - 46) / (19 / √50) = -1.4886

Using a standard normal table or calculator, we can find the area under the standard normal curve between these two z-scores:

P(-1.4886 < z < -0.7443) = 0.1601

Therefore, the probability that the average time studying for the 50 students is between 42 and 44 minutes is 0.1601.

f. The total study time for the 50 students follows a normal distribution with mean 5046 = 2300 minutes and standard deviation √5019 ≈ 39.70 minutes. To find the probability that the total study time is more than 2200 minutes, we standardize the value:

z = (2200 - 2300) / 39.70 = -2.5189

Using a standard normal table or calculator, we can find the area under the standard normal curve to the right of this z-score:

P(z > -2.5189) = 0.99411

Therefore, the probability that the randomly selected 50 students will have a total study time more than 2200 minutes is 0.99411.

g. The assumption of normality is necessary for parts e) and f) because we are using the normal distribution and the central limit theorem to approximate the probabilities. Without the normal assumption, we would need to use different methods for probability calculations.

h. We need to find the least total time that corresponds to the top 15% of the distribution. Using a standard normal table or calculator, we can find the z-score that corresponds to the 85th percentile:

z = 1.0364

We can then use the formula for the total study time:

x = μ + z(σ / √n)

Substituting the given values:

x = 4650 + 1.0364(19*√50) ≈ 4652.78

Therefore, the least total time that a group can study and still receive a sticker is approximately 4652.78 minutes.

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∠T has a cosine ratio of 15/17.

Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.

A triangle is a three-sided polygon that consists of three edges and three vertices.

Two triangles are said to be similar if their corresponding angles are congruent and the corresponding sides are in proportion .

PQR and STU are the similar triangles.

With the help of cosine function we can find the measure of T.

Cosine = Adjacent side/ hypotenuse

The adjacent side is thirty and hypotenuse is thirty four.

Plug in these values in the above formula.

∠T=30/34

Divide numerator and denominator by 2

∠T=15/17

Hence, ∠T has a cosine ratio of 15/17.

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The horizontal distance between the airplane and runway is, 2607.6 meters or 2.6 kilometers

To solve the problem, we can use the tangent function, which relates the opposite side of a right triangle to its adjacent side:

tanα = opposite/adjacent

where theta is the angle of depression, opposite is the height of the airplane above the ground, and adjacent is the horizontal distance between the airplane and the beginning of the runway.

We can rearrange this formula to solve for adjacent:

adjacent = opposite/tanα

Plugging in the values, we get:

adjacent = 500/tan(11°)

adjacent ≈ 2607.6

Therefore, the horizontal distance between the airplane and the beginning of the runway is approximately 2607.6 meters or 2.6 kilometers when rounded to the nearest tenth of a kilometer.

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The pair of fractions that are equal are (10)/(30) & (13)/(39).

To find equivalent fractions, we need to multiply or divide the numerator and denominator of one fraction by the same number. This will give us a new fraction that is equivalent to the original one.

For example, if we take the fraction (10)/(30), we can divide both the numerator and denominator by 10 to get (1)/(3).

Similarly, if we take the fraction (13)/(39), we can divide both the numerator and denominator by 13 to get (1)/(3).

Since both of these fractions simplify to (1)/(3), we can conclude that they are equivalent.

Therefore, pair of fractions having equal values are (10)/(30) & (13)/(39).

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12cm 6 cm 10cm 8cm tienes que medir 12 ×6 cm

The maximum value of the function z=8x+3y subject to the constraints is 94

The maximum value of the function z=8x+3y subject to the constraints y>=0, x>=4, y<=10, and 5x+2y<=60 can be found using the method of linear programming.

Graph the constraints on a coordinate plane. The constraints y>=0 and x>=4 are vertical and horizontal lines, respectively.

The constraint y<=10 is a horizontal line at y=10, and the constraint 5x+2y<=60 can be rewritten as y<=-5/2x+30 and graphed as a line with a slope of -5/2 and a y-intercept of 30.

Identify the feasible region, which is the area of the graph that satisfies all of the constraints.

In this case, the feasible region is the quadrilateral bounded by the lines x=4, y=0, y=10, and y=-5/2x+30.

Find the vertices of the feasible region. The vertices are the points (4,0), (4,10), (8,10), and (10,5).

Substitute the coordinates of the vertices into the function z=8x+3y to find the maximum value. The maximum value occurs at the vertex (8,10), where z=8(8)+3(10)=94.

Therefore, the maximum value of the function z=8x+3y subject to the constraints y>=0, x>=4, y<=10, and 5x+2y<=60 is 94.

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The domain is -7, 1, 3, 7 and the range is 2, 8

Determine if this is a function or not, find the domain, and find the range. {(7,8),(3,2),(1,8),(-7,2)} Is this a function or not? (type yes or no) What is the domain? (list the numbers in increasing order, seperated by a comma ) What is the range? (list the numbers in increasing order, seperated by a comma )

Yes, this is a function. The domain is -7, 1, 3, 7 and the range is 2, 8.

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To find all zeros for the function f(x) = x3 - 12x? - 13x + 24.

To find all zeros for the function f(x) = x3 - 12x? - 13x + 24, we can use the Rational Root Theorem to find the list of possible rational zeros.

The Rational Root Theorem states that if a polynomial f(x) = anxn + an-1xn-1 + ... + a1x + a0 has integer coefficients, then any rational zero of f(x) must be of the form p/q, where p is a factor of the constant term a0 and q is a factor of the leading coefficient an.

In this case, the constant term is 24 and the leading coefficient is 1. The factors of 24 are 1, 2, 3, 4, 6, 8, 12, and 24. The factors of 1 are 1. Therefore, the possible rational zeros are:

±1/1, ±2/1, ±3/1, ±4/1, ±6/1, ±8/1, ±12/1, ±24/1

Simplifying these fractions gives us the list of possible rational zeros:

±1, ±2, ±3, ±4, ±6, ±8, ±12, ±24

Now, we can use synthetic division to test each of these possible zeros until we find one that gives us a remainder of 0. Once we find a zero, we can factor it out of the polynomial and continue the process with the remaining polynomial until we have found all the zeros.

For example, if we test the possible zero 2, we get:

2 | 1 -12 -13 24
| 2 -20 -66
-----------------
1 -10 -33 -42

Since the remainder is not 0, 2 is not a zero of the function. We can continue testing the other possible zeros until we find all the zeros of the function.

Once we have found all the zeros, we can write them as a list. For example, if the zeros are 3, -2, and 4, we would write:

The zeros of the function are 3, -2, and 4.

Therefore, to find all zeros for the function f(x) = x3 - 12x? - 13x + 24, we can use the Rational Root Theorem to find the list of possible rational zeros, and then use synthetic division to test each possible zero until we find all the zeros of the function.

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Kobe scored 656 points in the season.

How to find and what is basketball?

If Kobe scored 82 points in a basketball game and that was 1/8 of the points he scored for the season, we can find the total points he scored in the season by multiplying 82 by 8, since 82 represents 1/8 of the total points:

Total points = 82 x 8

= 656

Therefore, Kobe scored 656 points in the season.

Basketball is a team sport played between two teams of five players each. The objective of the game is to shoot a ball through a hoop or basket that is mounted on a backboard at each end of the court, while also preventing the opposing team from doing the same.

The game is played on a rectangular court with standardized dimensions and various markings, including a center circle, free-throw lines, and three-point lines. Basketball is a fast-paced and physically demanding sport that involves a combination of offensive and defensive skills, including shooting, dribbling, passing, and rebounding.

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The angles of the diagram of a triangle is given by the statements ,

a) m∠5 + m∠6 = 180°

b) m∠2 + m∠3 = m∠6

c) m∠2 + m∠3 + m∠5 = 180°

A triangle is a plane figure or polygon with three sides and three angles.

A Triangle has three vertices and the sum of the interior angles add up to 180°

Let the Triangle be ΔABC , such that

∠A + ∠B + ∠C = 180°

The area of the triangle = ( 1/2 ) x Length x Base

For a right angle triangle

From the Pythagoras Theorem , The hypotenuse² = base² + height²

if a² + b² = c² , it is a right triangle

if a² + b² < c² , it is an obtuse triangle

if a² + b² > c² , it is an acute triangle

Given data ,

Let the triangle be represented as ΔABC

Now , the measures of angles of a triangle are

Let the Triangle be ΔABC , such that

∠A + ∠B + ∠C = 180°

So , the measure of m∠2 + m∠3 + m∠5 = 180°

And , for a straight line = 180° ( angles in a straight line is 180° )

So , m∠5 + m∠6 = 180°

And , the exterior angle of a triangle = sum of the interior opposite angles

So , m∠2 + m∠3 = m∠6

Hence , the angles of a triangle are solved

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The complete question is attached below :

Which statements are always true regarding the diagram? Select three options.

m∠5 + m∠3 = m∠4

m∠3 + m∠4 + m∠5 = 180°

m∠5 + m∠6 =180°

m∠2 + m∠3 = m∠6

m∠2 + m∠3 + m∠5 = 180°