Grapphing
Give the equation for the function which would have graph shown below. Use f(x) for the output. 8 7 6 5 4 3 -12 -11 -10 -9 -8 -7 -6 -4 6 10 XX 12 -3 -2 2 7 12 3 5 6 7 -8 -9+

Answer:

5

Step-by-step explanation:

12g - 18 > 6g + 12

12g > 6g + 30

6g > 30

g = 5

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Answer:

(1, 0 )

Step-by-step explanation:

A translation of 5 units left means subtract 5 from the x- coordinate

A translation of 1 unit down means subtract 1 from the y- coordinate, thus

(6, 1 ) → (6 - 5, 1 - 1 ) → (1, 0 )

Answer: 40%

Step-by-step explanation:

There are four red marbles and six blue marbles, so there is a total of 10 marbles. Since four of those marbles are red, there is a 4 in 10 chance to select a red marble, or 4/10. 4/10 equals 0.4 which in terms of percentage is 40% (multiply by 100).

Answer:

Step-by-step explanation:

the value of x is 55 degree because the relationship between 55 degree and is that they are corresponding angles and corresponding angles are equal.

Answer:

55°

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Answer:

96.80%
97%
cost

distance in miles

Step-by-step explanation:

The first number is given in the data, you have to round up the percentage for the second answer, and for the last two its given in the directions.

The complete statement is: the value of r2 = 96.80% tells us that about 97% of the variation in the cost of the shuttle bus is accounted for by the linear relationship created with the distance of the shuttle bus.

From the table, we have the following parameter;

R-Sq = 96.80%

The above value represents the coefficient of determination, r^2.

So, we have:

r^2 = 96.80%

Approximate

r^2 = about 97%

From the question, the dependent variable (y) is cost, while the independent variable (x) is distance.

Since the coefficient of determination (r^2) measures the variation between the dependent and the independent variables, the blanks would be completed with 96.80%, 97%, cost and distance, in that order

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Answer:

d. 14% of increase

Step-by-step explanation:

0.32 to 0.37 = increase

0.37 - 0.32 = 0.05

What percentage is 0.05 of 0.37

X/100 = 0.05/0.37

(0.05 * 100)/0.37

X = 13.51 = 14%

We have;3 × b × l ≠ πr²h This can also be written as;3 × b × l ≠ 2V, where V is the volume of the cylinder.

Given that the cross-sectional areas of a right triangular prism and a right cylinder are congruent. The right triangular prism has a height of 6 units, and the volume of the triangular prism is twice the volume of the cylinder.

O The volume of the triangular prism is not equal to the volume of the cylinder.A right triangular prism is a solid 3D shape having two congruent, parallel bases.

The bases of a right triangular prism are right triangles, while the other faces of the prism are rectangular. A cylinder is a 3D shape that has two circular bases.

It has constant cross-sectional areas that are congruent.The volume of a triangular prism is given by;V = 1/2 × b × h × lWhere b and h are the base and height of the triangle, respectively, and l is the length of the prism.

Given that the prism has a height of 6 units, the volume can be given as;V = 1/2 × b × h × l= 1/2 × b × 6 × l= 3 × b × lThe volume of a cylinder is given by;V = πr²h, where r is the radius of the cylinder and h is the height of the cylinder.

Since the cross-sectional areas of the prism and cylinder are congruent, their base areas must be equal. Therefore, the base area of the triangular prism is equal to the area of the circular base of the cylinder.

We can equate these areas to get;3 × b × l = πr² (since the height of the cylinder is the same as the height of the prism)The volume of the triangular prism is twice the volume of the cylinder.

Therefore, we can write;3 × b × l = 2πr²hHowever, the volume of the triangular prism is not equal to the volume of the cylinder.

Therefore, the volume of the triangular prism is twice the volume of the cylinder, but the volume of the prism is not equal to the volume of the cylinder.

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The 715 cm² area of the disc and the ±5 cm² error tolerance, gives;

a) x = √(715/π) cm

b) The range for the radius is; [√(710/π) cm, √(720/π) cm]

c)

f(x) = π•x²

L = 715 cm²

E = 5 cm

d = √(5/π) cm

Area of the circular metal disk = 715 cm²

a) Required; The disk radius

Let A represent the area of the disk and let x represent the radius, we have;

A = π•x²

Therefore;

x = √(A/π)

Which gives;

x = √(715/π) cm

b) Allowed area error tolerance = ± 5 cm²

The allowed range of values for the area is therefore;

Which gives;

√(710/π) ≤ x ≤ √(720/π)

c) From the \( \epsilon / \delta \) definition of limits, we have;

\( \lim\limits_{x → √(715/π)} f(x) = 715 \)

Which gives;

f(x) = A = π•x²

L = 715

|f(x) - L| < E = 5 cm

|x - √(715/π)| < d = √(5/π)

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Answer:b

Step-by-step explanation:

just took the quiz

Answer: number 1 2 and four are correct

Step-by-step explanation:

I DID THE SAME THING

Answer:

1,2,4

Step-by-step explanation:

The given relation "r" defined as "greater than" on the set of integers is a valid relation.

To determine whether the given relation is valid, we need to verify if it satisfies the definition. The definition states that for any two integers, x and y, x is related to y (x r y) if and only if x is greater than y. In other words, x r y holds true if x > y. This is a well-known and widely used relation in mathematics.

In this case, the relation "r" is defined as the greater than relation on the set of integers, which means that for any two integers x and y, x r y if and only if x > y. This definition aligns perfectly with the given relation, as it satisfies the requirement.

Therefore, we can conclude that the given relation is indeed valid and consistent with the definition of the greater than relation on the set of integers.

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Answer:

40

Step-by-step explanation:

anything percent out of 100 is the same number without percent

Answer:

60

Step-by-step explanation:

40% of 100 = 40 100-40 = 60

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Answer:

true

Step-by-step explanation:

the y intercept is the value of y when x = 0. in this case, y=2 when x-0, so it is true

Answer:

true

Step-by-step explanation:

or false, i think it is false

refer to the attached image

The value of the give expression is, 6260/8591

An expression in maths is a sentence with a minimum of two numbers or variables and at least one maths operation.

Given an expression,  9/11 + 3/13 × 26/33 - (21/121÷ 71/111)

9/11 + 3/13 × 26/33 - (21/121÷ 71/111) =

= 9/11+3x2/33-(21/121x111/71)

= 9/11+6/33-2331/8591

= 9/11+2/11-2331/8591

= 1-2331/8591

= 6260/8591

Hence. the value of the give expression is, 6260/8591

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Answer:

12.5

Step-by-step explanation:

16+0.14x = 21+0.1x

-16 -16

0.14x=5+0.1x

-0.1 -0.1

0.4x=5

5/0.4 = 12.5

Equation of a line is \(x+3y =-3\).

A perpendicular bisector is a line that cuts a line segment connecting two points exactly in half at a 90 degree angle. To find the perpendicular bisector of two points, all you need to do is find their midpoint and negative reciprocal, and plug these answers into the equation for a line in slope-intercept form.

Given that,

Endpoints of the line segment are (\(x_{1},y_{1}\)) = (4, 1) and (\(x_{2},y_{2}\)) = (2, -5).

First find the midpoints of the given line segment.

M = \(\left(\frac{x_{1}+x_{2} }{2},\frac{y_{1}+y_{2} }{2}\Right)\)

    =  \(\left(\frac{4+2 }{2},\frac{1-5 }{2}\Right)\)

M   =  \((3,-2)\)

Now, Find the slope of the line :

It is perpendicular to the line with (4,1) and (2,-5)

Slope between (\(x_{1},y_{1}\)) and (\(x_{2},y_{2}\)) = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

so,

the slope between (4,1) and (2,-5)  =  \(\frac{-5-1 }{2-4 }\)

                                                         = 3

perpendicular lines have slopes the multiply to get -1

3 times m=-1

m= \(\frac{-1}{3}\)

The equation of a line that has a slope of m and passes through the midpoints M(3,-2)  is

\(y-y_{1} =m(x-x_{1} )\)

\(y-(-2) =\frac{-1}{3} (x-3 )\)

\((y+2) =\frac{-1}{3} (x-3 )\)

if we want slope intercept form

\((y+2) =\frac{-1}{3} x+1\)

\(y= \frac{-1}{3} x-1\)

If we want standard form

\(\frac{1}{3} x+y = -1\)

\(x+3y =-3\)

Hence, Equation of a line is \(x+3y =-3\).

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There are approximately 1,716,190 ways the business can pick 8 applicants to interview from a pool of 31 applicants.

To determine the number of ways the business can pick 8 applicants to interview from a pool of 31 applicants, we can use the concept of combinations.

Specifically, we need to calculate the number of combinations of 31 applicants taken 8 at a time.

The number of combinations, denoted as "C(n, r)" or "nCr", represents the number of ways to choose r items from a set of n items without regard to their order.

The formula for combinations is:

C(n, r) = n! / (r!(n - r)!)

where n! denotes the factorial of n, which is the product of all positive integers up to n.

Using this formula, we can calculate the number of ways to pick 8 applicants from a pool of 31:

C(31, 8) = 31! / (8!(31 - 8)!)

Simplifying further:

C(31, 8) = 31! / (8! * 23!)

Since calculating factorials of large numbers can be cumbersome, we can simplify the expression further by canceling out common terms in the numerator and denominator:

C(31, 8) = (31 * 30 * 29 * 28 * 27 * 26 * 25 * 24) / (8 * 7 * 6 * 5 * 4 * 3 * 2 * 1)

C(31, 8) = 69,090,840 / 40,320

C(31, 8) ≈ 1,716,190

Therefore, there are approximately 1,716,190 ways the business can pick 8 applicants to interview from a pool of 31 applicants.

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Answer:

13/24

Step-by-step explanation:

divide both sides by 10.

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Answer:

13/24

Divide the numbers by 10.

\(\frac{130/10}{240/10} = \frac{13}{24}\)

With that information, the answer is 13/24.

Answer:

I have inserted a photo.

Hope this helps :D

Answer:

Step-by-step explanation:

The ratio of flour to honey is always 10/8 because she uses a constant ratio.

1. The missing values in the table would be the value of honey (1, 16, 30, h) times 10/8.

2. The equation would be f = (10*h)/8

3. Plug 15 and 17 into the equation above.

The latest time for pickup, found by converting the 150 minutes maximum time provided by the school, from minutes to hours is about 5:45 pm

Minutes can be converted into hours by dividing the number of minutes by 60, which is the number of minutes in an hour.

The time that school ends = 3:15 pm

The latest time for pick up after school care = 150 minutes after school ends

Therefore, the latest time for pick up after school care = 3:15 pm + 150 minutes

60 minutes = 1 hour

150 minutes = (1/60) × 150 = 2.5

The latest for pick up = 3:15 pm + 2.5 hours = 5:45 pm

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Answer:

x    y

2    2

4     4

9       9

Step-by-step explanation:

Answer:

Step-by-step explanation:

Since this is a test/homework I'll give a hint.

For a linear equation, you have no idea what x and y is, but thats ok! The test itself has already given you 4 options, so you can just input the x/y coordinates, and if they fit, good for you! If they don't, you may need to try again. There are other more complex and faster ways, but they are (a) more complex.

Hope this helps!

Answer:

16

Step-by-step explanation:

(b/2)^2

(8/2)^2 = (4)^2 = 16

(x^2+8x+16) = -3+16

(x+4)^2 = 13

so on so forth, but basically you add 16 which completes the square

Answer:

What are the problems?

Step-by-step explanation:

Answer:

x= 89°

Step-by-step explanation:

Let's use the rule of corresponding angles.

x+ 32°= 121° (corr. ∠s)

x= 121° -32°

x= 89°

Answer:

i think its 4*1

Step-by-step explanation:

hope this helps

have a great day

~Zero~

Answers

Explainations

Answer:

200 in²

Step-by-step explanation:

To find the area, you need to split it into two squares. The upper square would be 10 inches times 10 inches which would give you 100 inches squared. Since both are the same size, you can add both square areas together to give you 200 inches squared.

The ordered pair that is a solution to the inequality y>x+5 is:

None of the above

We are given the inequality as:

y > x + 5

Let us look at each of the given options to get:

a) At (12, 8):

8 > 12 + 5

8 > 17

This is false

b) At (11, 7):

7 > 11 + 5

7 > 16

This is false

c) At (8, 6):

6 > 8+ 5

6 > 14

This is false

d) At (4, 7):

7 > 4+ 5

7 > 9

This is false

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