What is the final step in solving the inequality –2(5 – 4x) < 6x – 4?

Answer:

Step-by-step explanation:

Equate whats inside (arguments) \sin with base period of sine function 2\pi and solve for x to get period,

\pi x=2\pi\implies x=2

So the period of the graph of the given function is precisely 2.

Hope this helps :)

Answer:

\(\frac{30meters}{second}\)

600meters

Step-by-step explanation:

Use conversion factors that represent 1.  You can cross cancel wods just like numbers.

\(\frac{108km}{1hour}\) · \(\frac{1hour}{60 minutes}\) · \(\frac{1minute}{60seconds}\) ·\(\frac{1000meters}{1 km}\)

\(\frac{108000meters}{3600seconds}\)

\(\frac{30meters}{second}\)

\(\frac{30meters}{second}\) ·\(\frac{20seconds}{1}\)

600 meters

Helping in the name of Jesus.

The measures of the angles and arcs of the circle are;

The sum of the digits in the shaded = 1  + 3 + 7 + 2 + 3 + 4 + 6 = 26

26 - 14 = 12

Using the decoder wheel, we get; FVMMO

An arc is a portion or part of the circumference of the circle.

The arc angles from the diagrams indicates;

1. mPR = 90 + (90 - 67) = 113

2. mQST = mQR + mRST

mQST = 23 + 180 = 203

3. 8·x - 15 + (3·x + 8) = 180 (Linear pair angles)

11·x - 7 = 180

11·x = 187

x = 187/11 = 17

x = 17

4. LM = 3·x + 8

Therefore; LM = 3 × 17 + 8 = 59

LM = 59

5. m∠DAC = 156/2 = 78

6. mBC = 180 - 156 = 24

7. m∠ADB = 43

mAB = 43 × 2 = 86

mABD = 180 + 86 = 266

8. 2 × (7·x -3) = 17·x - 30

14·x - 6 = 17·x - 30

17·x - 14·x = 3·x = 30 - 6 = 24

x = 24/3 = 8

x = 8

9. m∠YZX = 7·x -3

m∠YZX = 7 × 8 - 3 = 53

m∠YZX = 53

10. m∠WXZ = 62/2 = 31

The angle formed by the intersection of WY and XZ is therefore;

mWZY = 180 - (2 × 53) + 63 = 137

mWXY = 180 - (2 × 31) + (17 × 8 - 30) = 224

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From the two column proof below, we have seen ∠BAC ≅ ∠DAC by CPCTC

The two column proof to show that ∠BAC ≅ ∠DAC is as follows:

Statement 1: ΔABD is Isosceles with base BD, AC ⊥ BD

Reason 1: Given

Statement 2: AB ≅ AD

Reason 2:  Definition of isosceles Triangles

Statement 3: ∠1 and ∠2 are right angles

Reason 3: Definition of perpendicular

Statement 4: AC ≅ AC

Reason 4: Reflexive Property

Statement 5: ΔABC and ΔADC are right triangles

Reason 5: Definition of right triangle

Statement 6: ΔABC ≅ ΔADC

Reason 6: HL Congruency

Statement 7: ∠BAC ≅ ∠DAC

Reason 7: CPCTC

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Answer:

8 hours and 26 minutes

Step-by-step explanation:

To convert 506 minutes to hours and minutes, we can use the fact that there are 60 minutes in one hour.

First, we can divide 506 by 60 to find the number of hours:

506 ÷ 60 = 8 with a remainder of 26

This means that 506 minutes is equal to 8 hours and 26 minutes.

Therefore, the conversion of 506 minutes to hours and minutes is:

8 hours and 26 minutes

Answer:

Step-by-step explanation:

V = \(\pi r^{2} h\)

V = (3.14)(16)(12)

V = 50.24 cm³

Similarity statement and justification for two similar figures with given measurements. The given figures are AB = 40, AC = 50, and BC = 60. For the second figure, YX = 37.5, YZ = 30, and ZX = 45.

To write a similarity statement, we compare the ratios of corresponding sides of the two figures. So, we can compare AB/BC to YX/ZX and AC/BC to YZ/ZX.AB/BC = 40/60 = 2/3YX/ZX = 37.5/45 = 5/6AC/BC = 50/60 = 5/6YZ/ZX = 30/45 = 2/3Since the ratios of the corresponding sides of both figures are the same, we can say that the two figures are similar.

A similarity statement for these figures can be written as:ΔABC ~ ΔXYZThis statement indicates that the two triangles ABC and XYZ are similar. The symbol ~ is used to denote similarity.

The justification for this similarity statement is based on the fact that the ratios of the corresponding sides of the two figures are equal.

Therefore, by the definition of similarity, we can conclude that the two triangles are similar.

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Answer:

Rational

hope this helps

have a good day :)

Step-by-step explanation:

The average ticket cost for each concert is given as follows:

The ticket costs are obtained by a system of equations, for which the variables are given as follows:

It cost a total of $1707 to purchase six tickets for concert A and six tickets for concert B, hence:

6a + 6b = 1707

a + b = 284.5.

Three tickets for concert B cost a total of $687, hence the cost for concert B is of:

3b = 687

b = 287/3

b = $95.67.

Replacing into the first equation, the cost for concert A is given as follows;

a = 284.5 - 95.67

a = $188.83.

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Answer:

-12

Step-by-step explanation:

(-3)4

-3*4

-12

Elaborate ur question about - 34

Answer:

x = -1 or x = 3

Answer:

-4 is an integer however NOT a whole number.

Step-by-step explanation:

Integer include numbers that can be written as a fraction(whole number) and their negative selfs. So: 1,2,3,4... and -1,-2,-3,-4...

Whole numbers are numbers that can be written as a fraction but do not include negative, so any number like: 1,2,3,4... but it can't be negative.

Ace

Answer:

t = 248.18 years

Step-by-step explanation:

Continuous exponential growth is described with:

P(t) = P0e^(rt), where

P0 = 5,549,000 is the initial population size.

r = 0.033 is the annual interest rate in decimal form

t = is the time in years (we need to find)

P(t) = 20,000,000,000 is the population size after t years (1 person for every square yard of land mean there will be 20,000,000,000 people)

P0e^(rt) = P(t)

5,549,000e^(0.033t) = 20,000,000,000

e^(0.033t) = 20,000,000,000/5,549,000

t = (1/0.033) ln(20,000,000,000/5,549,000)

t = 248.18 years

No, the estimate of 11 × 2 = 22 tells us that 2.6509 is too small and the decimal point is placed incorrectly. The product has four decimal places and should have been 26.5090, but a missing zero on the end caused the decimal to end up in the wrong position.

PLEASE MARK BRAINLIEST

Answer:

b=130°

Step-by-step explanation:

The relationship between these two angles is about the fact that they are supplementary

i.e their sum is 180°

Answer:

1. m = -3 b = 2

2. m = 1/2 b = -1

3. m = -1 b = 79

4. m = 2 b = -2

5. y = -4x + 3

Step-by-step explanation:

1. the equation y=mx + b is used in number 1. m = slope and b = y intercept. so, because -3 is in the m spot, it is the slope, and because 2 is in the b spot, it is the y intercept.

2. apply the same concept as number 1. 1/2 is in the m spot, so it is the slope, and -1 is in the b spot, so it is the y intercept

3. To know the slope of the graph, you do rise/run. meaning, from one point on the graph, count how many times you go down to get to the next points, and then how many times you go over to get to the point. So, the slope of this line is -2/2, which is equal to -1. So, m = -1. To get the y intercept, take a pair of points from the graph (for example, (3,76)) and take the slope, and fill those in to the y = mx + b equation, and then solve for b. so, you get 76 = -1(3) + b. then do -1 times 3 and get -3. add 3 to both sides and you get b = 79.

4. apply the same concept on number 4 as you did number 3. Find rise/run, and you get 2/1, so m = 2. then take a point from the line (like point (0,-2)) and and the slope and fill it in to  y = mx + b. you get -2 = -2(0) + b. so, b = -2.

5. simply fill in the information into the y = mx + b equation. remember, m is the slope, and b is the y intercept. so, you get y = -4x + 3

Answer:

they will have to sample 60 machined metal parts

Step-by-step explanation:

Given that;

Margin of Error E = 6.74

at 90% Confidence Interval, z = 1.645  { from table }

Range R = maximum range - minimum range = 220 - 93 = 127

standard deviation σ = R / 4 = 127/4= 31.7500

How many machined metal parts would they have to sample n = ?

to get our sample size, we use the following formula

n = [ zσ / E ]²

we substitute in our values

n = [ 1.645 × 31.7500 / 6.74 ]²  

n = [ 52.2287 / 6.74 ]²  

n = [ 7.7490 ]²          

n = 60.047 ≈ 60  

Therefore, they will have to sample 60 machined metal parts

You can use the margin of error with the z value and standard deviation to get the result.

The number of metal machine parts would be 60.

The number of machined metal parts that have to be sampled.

Range = Max. value - min. value = 220 - 93 = 127

The standard deviation is approximately the quarter of the range of the distribution.

Thus, \(\sigma = 127 \div 4 = 31.75\)

For 90% confidence, the z value is 1.645 (from z tables)

Thus, from the formula for size of sample, we have:

\(n = (\dfrac{z\sigma}{E})^2 = (\dfrac{1.645 \times 31.75}{6.74})^2 = (7.749)^2 \approx 60\)

The number of metal machine parts would be 60.

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Answer:

sin(-pi/2) = -1

Step-by-step explanation:

sin (pi/12) cos((7pi)/12) -cos (pi/12) sin((7pi)/12) = -1

cos(-pi/2) = 0

sin(-pi/2) = -1

cos((2pi)/3) = -1/2

sin((2pi)/3) = (√3)/2

The numeric value of the function f(x) = 14/[3 + ae^(kx)] at x = 2 is given as follows:

f(2) = 0.172.

The function for this problem is defined as follows:

f(x) = 14/[3 + ae^(kx)]

When x = 0, y = 2, hence we can obtain the coefficient a as follows:

2 = 14/(3 + a)

6 + a = 14

a = 8.

Hence:

f(x) = 14/[3 + 8e^(kx)]

When x = 1, y = 1/2, hence the coefficient k is given as follows:

0.5 = 14/(3 + 8e^k)

1.5 + 4e^k = 14

4e^k = 12.5

e^k = 12.5/4

k = ln(12.5/4)

k = 1.14.

Hence:

f(x) = 14/[3 + 8e^(1.14x)]

Then the numeric value of the function at x = 2 is given as follows:

f(2) = 14/[3 + 8e^(1.14(2))]

f(2) = 0.172.

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12.5% is the percentage error of eve's estimation.

The accuracy and proximity of an estimate to the actual value of a specific experiment or quantity are measured in terms of percent error. Using this strategy, you may assess whether or not the data collecting is going in the proper path. Experts in statistics and big businesses are its main users. Students that are interested in studying economics should place a high priority on it.

Given, Eve took a road trip to visit an old friend. She expected the drive to take 3 hours and 30 minutes, but she was delayed by construction and it actually took 4 hours.

From the general formula of percentage error = \(\frac{actual value - expected value}{actual value}* 100\)

for our given data, Actual value = 4

estimated value = 3.5

Thus, percentage error = (4-3.5)/ 4 = (1/8)*100 = 12.5

Therefore, Eve's estimate has a percentage inaccuracy of 12.5%.

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The marginal frequency of students who chose dancing is 37.

The correct answer to the given question is option 3.

The marginal frequency of students who chose dancing can be calculated by adding up the number of students who chose dancing in each row or column. In this case, we need to add up the number of art students who chose dancing (22) and the number of music students who chose dancing (15), which gives us a total of 37. This is the marginal frequency of students who chose dancing.

Based on the survey results, it appears that a slightly higher percentage of art students prefer dancing (41.5%) compared to music students (31.9%). However, both groups of students seem to be fairly evenly split between dancing and playing sports, with a slight preference for playing sports overall.

It's worth noting that cardiovascular activity is important for overall health and well-being, and both dancing and playing sports can provide great opportunities for exercise and physical activity. Additionally, both activities can also be enjoyable and provide a sense of community and social connection, which is important for middle school students who are still developing their social skills and relationships. Ultimately, the choice between dancing and playing sports will depend on individual interests, preferences, and abilities.

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Answer:

t=1/50

Step-by-step explanation:

2/5t=20

2=100t

2/100=t

t=1/50

The gradient of the line joining the points (1,-1) and (4,9) is 10/3, while the gradient of the line joining (5,1) and (2,-2) is 1. The x-intercept of the equation 3y = 2x - 2 is 1, and the y-intercept is -2/3. These calculations follow the formula for gradient and the methods for finding intercepts in linear equations.

1) To find the gradient of a line joining two points, you can use the formula: gradient = (change in y)/(change in x).
Given the points (1,-1) and (4,9), the change in y is 9 - (-1) = 10 and the change in x is 4 - 1 = 3.
Therefore, the gradient of the line joining these points is 10/3.
2) Similarly, to find the gradient of a line joining two points (5,1) and (2,-2), we can use the same formula. The change in y is -2 - 1 = -3 and the change in x is 2 - 5 = -3.
Therefore, the gradient of the line joining these points is -3/-3 = 1.
3) To find the x-intercept, we set y to 0 and solve for x.
Given the equation 3y = 2x - 2, if we substitute y with 0, we have 3(0) = 2x - 2, which simplifies to 0 = 2x - 2.
To solve for x, we can add 2 to both sides: 0 + 2 = 2x - 2 + 2, which gives us 2 = 2x.
Dividing both sides by 2, we get x = 1.
Therefore, the x-intercept of the equation 3y = 2x - 2 is 1.
To find the y-intercept, we set x to 0 and solve for y.
Using the same equation, if we substitute x with 0, we have 3y = 2(0) - 2, which simplifies to 3y = -2.
To solve for y, we can divide both sides by 3: (3y)/3 = (-2)/3, which gives us y = -2/3.
Therefore, the y-intercept of the equation 3y = 2x - 2 is -2/3.
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Answer:

Step-by-step explanation:

a hexogon is a six sided polygon so half of 42 is 21 plus 7 and 8 p2 might be 11 THIS MIGHT NOT BE CORECT I NEED A PITURE

The equation of the line tangent to y = x^3 + 3x^2 + 2 at its point of inflection is y = -3x - 1.

To find the point of inflection, we need to take the second derivative of the function and set it to zero:

f(x) = x^3 + 3x^2 + 2

f'(x) = 3x^2 + 6x

f''(x) = 6x + 6

Setting f''(x) = 0, we get:

6x + 6 = 0

x = -1

So the point of inflection is (-1, f(-1)),

f(-1) = (-1)^3 + 3(-1)^2 + 2 = 2

So the point of inflection is (-1, 2).

To find the equation of the tangent line at this point, we need to find the slope of the tangent. The slope of the tangent is the first derivative evaluated at the point of inflection:

f'(x) = 3x^2 + 6x

f'(-1) = 3(-1)^2 + 6(-1) = -3

So the slope of the tangent line is -3.

Now we use the point-slope form of the equation of a line, with the point (-1, 2) and the slope -3:

y - 2 = -3(x + 1)

Simplifying, we get:

y = -3x - 1

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Answer:c

Step-by-step explanation:

Did the test

Answer:

D. 2:1 & 6:3

Step-by-step explanation:

Proportion means equal so we need to see which ratios are equal.

To do that we need to make one fo the numbers in the ratio equal the corresponding number in the other ratio, then see if the other matches.

A:

1:2 & 4:2

The second number is already the same but the first isn't, therefore it is not proportional.

B:

1:2 & 6:3

To get 1 to equal 6 we must multiply it by 6, and what you do to one side you must do to the other so we have to multiply 2 by 6 as well

6:12 & 6:3

The first numbers are the same but the second isn't, therefore it is not proportional.

C:

2:1 & 2:4

The first numbers are the same but the second isn't, therefore it is not proportional

D:

2:1 & 6:3

to get 2 to equal 6 we need to multiply it by 3, which means we have to multiu 1 by 3 too

6:3 & 6:3

These are equal so this is proportional.

The coordinates of the point on the directed line segment from (-7, 9) to (3, -1) that partitions the segment into a ratio of 2 to 3 are (-3, 5).

To find the coordinates of the point that divides the directed line segment from (-7, 9) to (3, -1) into a ratio of 2 to 3, we can use the section formula.

Let's label the coordinates of the desired point as (x, y). According to the section formula, the x-coordinate of the point is given by:

x = (2 * 3 + 3 * (-7)) / (2 + 3) = (6 - 21) / 5 = -15 / 5 = -3

Similarly, the y-coordinate of the point is given by:

y = (2 * (-1) + 3 * 9) / (2 + 3) = (-2 + 27) / 5 = 25 / 5 = 5

Therefore, the coordinates of the point that divides the line segment in a ratio of 2 to 3 are (-3, 5).

To understand this conceptually, consider the line segment as a distance from the starting point (-7, 9) to the ending point (3, -1). The ratio of 2 to 3 means that the desired point is two-thirds of the way from the starting point and one-third of the way from the ending point. By calculating the x and y coordinates using the section formula, we find that the desired point is located at (-3, 5).

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Answer:

z > -4/5

Step-by-step explanation:

-9 - (2z - 7) > -2z - 6 - 5z

Get rid of the parenthesis

-9 - 2z + 7 > -2z - 6 - 5z

Combine like terms:

       -2 - 2z > -7z - 6

       +2       >       +2

Add 2 to both sides.

 -2z > -7z - 4

 +7z > +7z

Add 7 to both sides.

5z > -4

Divide both sides by 5 to get z.

z > -4/5

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

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Hope this helps! :)

Answer:

\(35 - 3 \times 9 \\ = > 35 \: - 27 \\ = > 08\)

hope helpful <3

Answer:

8

Step-by-step explanation:

the most important thing to remember here is the priority, multiplication  before substraction

35 - 3 * 9 = 35 - 27 = 8