Evaluate 3(6-14) over -4

Answer:

He increased the distance he hiked each day by 1/3 milestep

Step-by-step explanation:

The two points (0,-4) and (-4/3,0) are solutions to the inequality 6x +2y<-8.

Given the inequality 6x +2y<-8,

The equation 6x - 2y = 8 divides the coordinate plane into two parts. The shaded region contains all points with coordinates (x,y).

Such that 6x + 2y > 8. Because the sign of the inequality is not equal (is strongly <), the boundary line should be dashed.

Choose two points:

When x = 0, 2y< -8, and y can be -4. You get point (0, -4);

if y=0, then 6x <-8, and x can be -4/3. You get the idea (-4/3,0).

To learn more about inequality refer to :

https://brainly.com/question/25275758

#SPJ1

Answer:A topic sentence is used to bring

to a paragraph.

Step-by-step explanation:

A topic sentence is used to bring

to a paragraph.

Step-by-step explanation:

Slope 1/2    point    5,1  

  in point slope form would be

    (y-1) = 1/2 (x-5)

Answer: \(b)~\Large\boxed{\frac{19}{2} }\)

Step-by-step explanation:

sin²5° + sin²10° + sin²15° +... sin²85° + sin²90°

sin²x + cos²x = 1

sin(x) = cos (90 - x)

There are in total these terms:

5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60, 65, 70, 75, 80, 85, 90

In total, there are 18 terms, and the first one matches with the second to the last one:

5 -- 85

10 -- 80

.

.

.

40 -- 50

There are 2 terms left over:

sin²45 and sin²90

sin²5 = cos² (90 - 5) = cos²85

sin²10 = cos² (90 - 10) = cos²80

.

.

.

sin²40 = cos² (90 - 40) = cos²50

i.e. sin²85 and cos²85

Using the concept of sin²x + cos²x = 1

sin²85 + cos²85 = 1

sin²80 + cos²80 = 1

.

.

.

sin²50 + cos²50 = 1

Total = (16/2) × 1 = 8 × 1 = 8

sin²45 = (sin45) (sin45) = (√2 / 2) (√2 / 2) = 1/2

sin²90 = (sin90) (sin 90) = (1) (1) = 1

\(8+\dfrac{1}{2} +1=\Large\boxed{\frac{19}{2} }\)

Hope this helps!! :)

Please let me know if you have any questions

Total 18 different paths are there from a to b that go through the point circled in the following lattice

In the given question, we have to find how many different paths are there from a to b that go through the point circled in the following lattice.

The diagram of the lattice is given below:

Therefore, we must first go from A to the encircled point.

We must travel 2 horizontally and 2 vertically to do that.

Now, to get to this point, we have ways = \(C_{2}^{4}\) ways

Total ways to go from A to the encircled point = \(\frac{4!}{2!(4-2)!}\)

Total ways to go from A to the encircled point = 6 ways

Additionally, we must travel 2 horizontal and 1 vertical units to get from the encircling point to B.

As a result, total ways to go from the encircling point to B = \(C^{3}_{1}\)

Total ways to go from the encircling point to B = \(\frac{3!}{1!(3-1)!}\)

Total ways to go from the encircling point to B = 3 ways

So, different paths are there from a to b = 6×3

Different paths are there from a to b = 18 ways

To learn more about permutation and combination link is here

brainly.com/question/16837159

#SPJ4

Answer:

Dotted line on (0,4) and shaded upwards.

Step-by-step explanation:

y > 4 means that there is a dotted line on the Y-axis on the number 4. The shading will be done upwards, shading everything greater than 4.

Answer:

  (a)  83°

Step-by-step explanation:

You want the measure of angle 5, given that the adjacent angle 6 has a measure of 97° where the lines cross.

The two angles, 5 and 6, are a linear pair, so are supplementary.

  ∠5 = 180° -∠6

  ∠5 = 180° -97°

  ∠5 = 83°

<95141404393>

The inequality represented by the graph is given as follows:

y > 3x - 4.

The slope-intercept definition of a linear function is given as follows:

y = mx + b.

In which:

The graph crosses the y-axis at y = -4, hence the intercept b is given as follows:

b = -4.

When x increases by 1, y increases by 3, hence the slope m is given as follows:

m = 3.

Hence the equation of the line is:

y = 3x - 4.

The inequality is composed by the values to the right (greater) of the line, and has an open interval due to the dashed line, hence:

y > 3x - 4.

More can be learned about linear functions at https://brainly.com/question/24808124

#SPJ1

9514 1404 393

Answer:

  (b)  m∠1 = 67.4°, m∠2 = 104.5°

Step-by-step explanation:

It is easiest to find angle 2 first, then make your answer selection based on that.

The exterior angle 121.8° is the sum of the remote interior angles 17.3° and angle 2. Then ...

  angle 2 = 121.8° -17.3° = 104.5° . . . . . . . matches the second choice

__

Angle 2 is an exterior angle of the top triangle. It, too, is the sum of the remote interior angles:

  104.5° = angle 1 + 37.1°

  angle 1 = 104.5° -37.1° = 67.4°

Answer:

C!

Step-by-step explanation:

m∠1 = 75.5°, m∠2 = 67.4°

Answer:

The standard form of a circle is (x - c)² + (y - d)² = r² where (c, d) is the center and r is the radius. This means that the center is (0, -7) and the radius is 8.

Answer:  Center = (0, -7)

                Radius = 8

Step-by-step explanation:

The equation of a circle is: (x - h)² + (y - k)² = r²     where

       x²   + (y + 7)² = 64

→   (x - 0)² + (y - (-7))² = 8²

           ↓              ↓       ↓

          h=0        k=-7     r=8

EXPLANATION

Given ordered pairs: (-3,7) and (9,-1)

(x1,y1) (x2,y2)

The equation that represents the line that passes through the points will be given as:

y = mx + b

First, we need to calculate the slope:

Now, taking either one pair, we can calculate the value of b in this way:

Simplifying:

Clearing b:

Finally, the equation will be:

Answer:

The _______ for a procedure consists of all possible simple events or all outcomes that cannot be broken down any further.

Let A, B, and W denote the sets of students apply to Addis Ababa Uni (A), Bahir Dar Uni (B), or Wachemo Uni (W). Let U denote the universal set of all students in the class.

We're given the cardinalities of several sets:

• total number of students: \(n(U) = 60\)

• A applicants: \(n(A) = 30\)

• B applicants: \(n(B) = 25\)

• W applicants: \(n(W) = 24\)

• A and B applicants: \(n(A\cap B) = 11\)

• A and W applicants: \(n(A \cap W) = 6\)

• B and W applicants: \(n(B\cap W) = 9\)

• non-applicants: \(n(U \setminus (A\cup B\cup W)) = 4\)

The last cardinality tells us \(n(A\cup B\cup W) = 60-4 = 56\) students applied anywhere at all.

We want to find \(n(A\cap B\cap W)\), the number of students that applied to each of the three universities.

By the inclusion/exclusion principle,

\(n(A\cup B\cup W) = n(A) + n(B) + n(W) \\\\~~~~~~~~~~~~~~~~~~~~~~~~ - n(A\cap B) - n(A\cap W) - n(B\cap W)\\ \\~~~~~~~~~~~~~~~~~~~~~~~~ + n(A\cap B\cap W)\)

That is, we count up all the students in the sets A, B, and W, then subtract the number of students in each pairwise intersection to not double-count, then add back the number of students in the intersection of all three sets since it was removed in the previous step.

Now solve.

\(56 = 30 + 25 + 24 - 11 - 6 - 9 + n(A\cap B\cap W)\)

\(\implies n(A\cap B\cap W) = \boxed{3}\)

The theoretical probability of spinning red is given as follows:

1/3.

The parameters that are needed to calculate a probability are listed as follows:

Then the probability is calculated as the division of the number of desired outcomes by the number of total outcomes.

For the spinner in this problem, 2 out of 6 regions are red, hence the theoretical probability is given as follows:

2/6 = 1/3.

Learn more about the concept of probability at https://brainly.com/question/24756209

#SPJ1

Answer

M= 42.80 - 12

Step-by-step explanation:

Answer:

3. 2(π)(4)

Step-by-step explanation:

The expression for the circumference of a circle is 2πR.

The R stands for the radius which is 4.

Hope this helps...

Please mark me brainliest

Answer:

0.79

Step-by-step explanation:

Answer:

12 grams of butter

Step-by-step explanation:

all u need to do is divide 120 by 10 to get the amount of grams to make 1 cookie

120÷10= 12

MARK AS BRAINLIEST PLS

Answer:θ ≈ 2.57 radians

θ ≈ 0.58 radians

Step-by-step explanation:We can solve this quadratic equation in sin(θ) by factoring:

4sin^2(θ) + 7sin(θ) - 5 = 0

(4sin(θ) - 1)(sin(θ) + 5) = 0

Therefore, either:

4sin(θ) - 1 = 0

sin(θ) = 1/4

or:

sin(θ) + 5 = 0

sin(θ) = -5 (not possible, since sin(θ) is between -1 and 1)

So, we have sin(θ) = 1/4. Since 0 ≤ θ < 2π, we can find the two solutions in the interval [0, 2π) by using the inverse sine function:

θ = arcsin(1/4)

Using a calculator, we find:

θ ≈ 0.2531 or θ ≈ 2.8887

Therefore, in radians, the solutions for θ are approximately:

0.2531 (which is less than 2π)

2.8887 (which is greater than 2π)

So the only answer that satisfies 0 ≤ θ < 2π is:

Answer:

\(y = 32 - \frac{1}{2}x\)

Step-by-step explanation:

Given

\(Cups = 32\) ---- not 52

\(Students = x\)

\(Remainder = y\)

\(Each = \frac{1}{2}\) --- not z

Required

The equation for y

The remainder y is calculated as:

\(y = Cups - Students * Each\\\)

\(y = 32 - \frac{1}{2}x\)

The similarity ratio of polygon STUV to polygon GFIH is 5 / 1

An equation is an expression that shows the relationship between two or more numbers and variables.

An independent variable is a variable that does not depends on other variable while a dependent variable is a variable that depends on other variable.

Two polygons are similar if the ratio of their corresponding sides are in the same proportion. Hence:

Similarity ratio of STUV to GFIH = TU / GH = 5 / 1

The similarity ratio of polygon STUV to polygon GFIH is 5 / 1

Find out more on equation at: https://brainly.com/question/2972832

#SPJ1

The mean absolute deviation is $106.6.

Given the table shows the amount Bill spent on 5 days last week.

DayAmount12622313126534To find the mean of the amount he spent: The formula for calculating the mean of a given set of values is mean=∑x/n where x represents the values, n represents the number of values, and ∑x represents the sum of the values.

Mean=total sum of values/total number of values Mean=(26+23+31+26+534)/5Mean=640/5Mean=128So,

the mean of the amount he spent is $128.To find the mean absolute deviation: The mean absolute deviation (MAD) is the average distance between each data value and the mean. MAD shows how much the data set deviates from the mean. The formula for calculating the MAD is MAD=∑|xi−m|/n where xi represents the values, m represents the mean, and n represents the number of values. So, the calculation for each day is:

Day Amount Absolute deviation from mean1 26 |128-26|=102 23 |128-23|=105 31 |128-31|=974 26 |128-26|=102 534 |128-534|=406

The sum of all absolute deviations is:

10+10+97+10+406=533The mean absolute deviation (MAD) is: MAD=533/5=106.6So.

For more question deviation

https://brainly.com/question/475676

#SPJ8

Answer:

15.924 feets

Step-by-step explanation:

The height I'd the flagpole can be obtained using trigonometry ;

Solution triangle has been attached below,

The height, h of flagpole

Tan θ = opposite / Adjacent = h / 12

Tan 53 = h / 12

h = 12 * tan 53

h = 15.924

Answer:

Step-by-step explanation:

Eso tiene que ser una respuesta propia

Step-by-step explanation:

hdgjgdsthtdbtxht yfspgjsdhjdjevrg

Answer:

66

Step-by-step explanation:

the difference of 54 and 32 is 54 - 32 = 22

the difference of 8 and 5 is 8 - 5 = 3

then

22 × 3 = 66