Solve the following inequality 4(3-3x)+4x>20

The amount of kibble in each bowl = 1 1/4 pounds

The correct answer is an option (d)

Let us assume that m represents the amount of kibble and n represents the number of dog bowls.

Jane shares 5 pounds of kibble equally in 4 dog bowls.

This means that m = 5 and n = 4

Let r represents the amount of kibble in each bowl.

To find the pounds of kibble in each bowl we divide the value of m by n.

i.e., r = m/n

r = 5/4

We write above fraction as an improper fraction.

r = 1 1/4

Therefore, the amount of kibble in each bowl = one and one fourth

The correct answer is an option (d)

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The complete question is:

Jane shares 5 pounds of kibble equally in 4 dog bowls. How many pounds of kibble are in each bowl?

a.one and four fifths

b.one and two fourth

c.four fifths

d.one and one fourth

The average rate of change in hours per day from 0 to 75 days is 0.027.

In Mathematics, the average rate of change of f(x) on a closed interval [a, b] is given by this mathematical expression:

Average rate of change = [f(b) - f(a)]/(b - a)

Next, we would determine the average rate of change of the function g(t) over the interval [0, 75]:

a = 0; f(a) = 9

b = 75; f(b) = 11

By substituting the given parameters into the average rate of change formula, we have the following;

Average rate of change = (11 - 9)/(75 - 0)

Average rate of change = 2/75

Average rate of change = 0.027

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Answer:

this one has to be answer 1

Step-by-step explanation:

4x - y = -5

x + 2y =1

8x - 2y = -10

x + 2y = 1

9x = -9

The correct statement the Midline of the function, y=-1.

The correct option id (D)

What is triangle wave function:

A triangular wave or triangle wave is a non-sinusoidal waveform named for its triangular shape. It is a periodic, piecewise linear, continuous real function. Triangle wave. A bandlimited triangle wave pictured in the time domain (top) and frequency domain (bottom).

The given function is:

y= 1/2 cos(2x)-1

Now,

The amplitude of the given function is, A= 1/2 = 0.5

The domain of the function is -∞<x<+∞

The period of the function is π.

The midline of the function, y=-1

Thus, the fourth point is correct.

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Answer: The slope between two points (x1, y1) and (x2, y2) is given by the formula:

m = (y2 - y1) / (x2 - x1)

We are given that the slope between (8, y) and (14, -13) is -2/3. So we can use this information to set up the equation:

-2/3 = (-13 - y) / (14 - 8)

To find y, we can solve for y:

-2/3 = (-13 - y) / 6

-2 = -13 - y

y = 11

So the value of y is 11.

Step-by-step explanation:

b = speed of the boat in still water

c = speed of the current

when going Upstream, the boat is not really going "b" fast, is really going slower, is going "b - c", because the current is subtracting speed from it, likewise, when going Downstream the boat is not going "b" fast, is really going faster, is going "b + c", because the current is adding its speed to it.

Now, the boat goes Upstream 48 miles, so Downstream must be travelling the same 48 miles back.

\({\Large \begin{array}{llll} \underset{distance}{d}=\underset{rate}{r} \stackrel{time}{t} \end{array}} \\\\[-0.35em] ~\dotfill\\\\ \begin{array}{lcccl} &\stackrel{miles}{distance}&\stackrel{mph}{rate}&\stackrel{hours}{time}\\ \cline{2-4}&\\ Upstream&48&b-c&3\\ Downstream&48&b+c&2 \end{array}\hspace{5em} \begin{cases} 48=(b-c)(3)\\\\ 48=(b+c)(2) \end{cases} \\\\[-0.35em] ~\dotfill\)

\(\stackrel{\textit{using the 1st equation}}{48=(b-c)3}\implies \cfrac{48}{3}=b-c\implies 16=b-c\implies \boxed{16+c=b} \\\\\\ \stackrel{\textit{using the 2nd equation}}{48=(b+c)2}\implies \cfrac{48}{2}=b+c\implies 24=b+c\implies \stackrel{\textit{substituting}}{24=(16+c)+c} \\\\\\ 24=16+2c\implies 8=2c\implies \cfrac{8}{4}=c\implies \boxed{2=c}~\hfill~\stackrel{ 16~~ + ~~2 }{\boxed{b=18}}\)

Answer:

-2

Step-by-step explanation:

line crosses the y- coordinate (0,-2)

SOLUTION:

Step 1:

In this question, we are to find the number of 3-digit telephone area codes possible if each digit can be from 0-9.

Step 2:

The digits here are; 0, 1, 2, 3, 4, 5, 6, 7, 8 and 9. Ten digits in all.

Step 3:

Out of these 10 digits, we are interested in 3-digit at a time, e.g 214, 719, 604, etc.

Step 4:

With the understanding of step 3, there are 10 ways of selecting a number.

For the first number (10 ways), the Second number (10 ways), and the third number (10 ways), which is 10 x 10 x 10 = 1000

CONCLUSION:

The number of possible ways 3-digit telephone area codes, if each digit can be from 0-9 is therefore 1,000 ways.



Answer:

  x = 1

Step-by-step explanation:

You want to know the value of x in the trapezoid with adjacent angles (43x+2)° and 135°.

The two marked angles can be considered "consecutive interior angles" where a transversal crosses parallel lines. As such, they are supplementary.

  (43x +2)° +135° = 180°

  43x = 43 . . . . . . . . . . . . . . divide by °, subtract 137

  x = 1 . . . . . . . . . . . . . . . divide by 43

The value of x is 1.

__

Additional comment

Given that the figure is a trapezoid, we have to assume that the top and bottom horizontal lines are the parallel bases.

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Answer:

Giselle worked as a carpenter for 12 hours and as a blacksmith for 18 hours last week

Step-by-step explanation:

Let's assume that Giselle worked as a carpenter for x hours and as a blacksmith for y hours last week.

We know that she earns $20 per hour as a carpenter and $25 per hour as a blacksmith, and that she worked a total of 30 hours, so we can write two equations based on this information:

x + y = 30 (total hours worked)

20x + 25y = 690 (total earnings)

To solve for x and y, we can use substitution or elimination. Let's use substitution.

From the first equation, we can solve for x in terms of y:

x = 30 - y

Substitute this expression for x in the second equation:

20(30 - y) + 25y = 690

Simplify and solve for y:

600 - 20y + 25y = 690

5y = 90

y = 18

So Giselle worked as a blacksmith for 18 hours last week.

To find how long she worked as a carpenter, we can substitute y = 18 into the first equation and solve for x:

x + 18 = 30

x = 12

Therefore, Giselle worked as a carpenter for 12 hours last week.

If x + 1 is a factor of p(x) = x³ + k x² + x + 6, then by the remainder theorem, we have

p (-1) = (-1)³ + k (-1)² + (-1) + 6 = 0   →   k = -4

So we have

p(x) = x³ - 4x² + x + 6

Dividing p(x) by x + 1 (using whatever method you prefer) gives

p(x) / (x + 1) = x² - 5x + 6

Synthetic division, for instance, might go like this:

-1   |   1    -4     1     6

...   |         -1    5    -6

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

...   |   1    -5    6     0

Next, we have

x² - 5x + 6 = (x - 3) (x - 2)

so that, in addition to x = -1, the other two zeros of p(x) are x = 3 and x = 2

Answer:

Between step 4 and final answer, the incorrect square root is used as a multiplier

Step-by-step explanation:

Process should be

-5√11 + 15√(6 • 4)

-5√11 + 15√6 • √4

-5√11 + 15√6 • 2

-5√11 + 30√6

Answer:

9.00002 and 0.009 igs I am trying my best to understand lol

Answer(s):

\(\displaystyle y = 4sin\:(2x + \frac{\pi}{2}) \\ y = 4cos\:2x\)

Step-by-step explanation:

\(\displaystyle y = Asin(Bx - C) + D \\ \\ Vertical\:Shift \hookrightarrow D \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \\ Amplitude \hookrightarrow |A| \\ \\ Vertical\:Shift \hookrightarrow 0 \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \hookrightarrow \boxed{-\frac{\pi}{4}} \hookrightarrow \frac{-\frac{\pi}{2}}{2} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \hookrightarrow \boxed{\pi} \hookrightarrow \frac{2}{2}\pi \\ Amplitude \hookrightarrow 4\)

OR

\(\displaystyle y = Acos(Bx - C) + D \\ \\ Vertical\:Shift \hookrightarrow D \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \\ Amplitude \hookrightarrow |A| \\ \\ Vertical\:Shift \hookrightarrow 0 \\ Horisontal\:[Phase]\:Shift \hookrightarrow 0 \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \hookrightarrow \boxed{\pi} \hookrightarrow \frac{2}{2}\pi \\ Amplitude \hookrightarrow 4\)

You will need the above information to help you interpret the graph. First off, keep in mind that although this looks EXACTLY like the cosine graph, if you plan on writing your equation as a function of sine, then there WILL be a horisontal shift, meaning that a C-term will be involved. As you can see, the photograph on the right displays the trigonometric graph of \(\displaystyle y = 4sin\:2x,\)in which you need to replase "cosine" with "sine", then figure out the appropriate C-term that will make the graph horisontally shift and map onto the cosine graph [photograph on the left], accourding to the horisontal shift formula above. Also keep in mind that the −C gives you the OPPOCITE TERMS OF WHAT THEY REALLY ARE, so you must be careful with your calculations. So, between the two photographs, we can tell that the sine graph [photograph on the right] is shifted \(\displaystyle \frac{\pi}{4}\:unit\)to the right, which means that in order to match the cosine graph [photograph on the left], we need to shift the graph BACKWARD \(\displaystyle \frac{\pi}{4}\:unit,\)which means the C-term will be negative, and by perfourming your calculations, you will arrive at \(\displaystyle \boxed{-\frac{\pi}{4}} = \frac{-\frac{\pi}{2}}{2}.\)So, the sine graph of the cosine graph, accourding to the horisontal shift, is \(\displaystyle y = 4sin\:(2x + \frac{\pi}{2}).\)Now, with all that being said, in this case, sinse you ONLY have a graph to wourk with, you MUST figure the period out by using wavelengths. So, looking at where the graph WILL hit \(\displaystyle [-1\frac{1}{4}\pi, 0],\)from there to \(\displaystyle [-\frac{\pi}{4}, 0],\)they are obviously \(\displaystyle \pi\:units\)apart, telling you that the period of the graph is \(\displaystyle \pi.\)Now, the amplitude is obvious to figure out because it is the A-term, but of cource, if you want to be certain it is the amplitude, look at the graph to see how low and high each crest extends beyond the midline. The midline is the centre of your graph, also known as the vertical shift, which in this case the centre is at \(\displaystyle y = 0,\)in which each crest is extended four units beyond the midline, hence, your amplitude. So, no matter how far the graph shifts vertically, the midline will ALWAYS follow.

I am delighted to assist you at any time.

\(f(x)=2(3)^{x+1} \\\\[-0.35em] ~\dotfill\\\\ f(2)=2(3)^{(2)+1}\implies f(2)=2(3)^3\implies f(2)=2(3^3) \\\\\\ f(2)=2(27)\implies f(2)=54\)

Answer: D

Step-by-step explanation:

1 in.=1488 milesx5=7440 miles.

Area= pi x r^2

=pi x (7440)^2 or option D.

Hope this helps :)

Answer:

Step-by-step explanation:

#1:  3t + -6,     #2:  0.2y + 0.2(2) = 0.2y + 0.4

Might help to understand why expanding works.

Multiplication is just repeated addition. 4 x 3 is the same as saying 4 + 4 + 4. So when we say 3(t - 2), we're really saying

(t - 2) + (t - 2) + (t - 2).

And if you remove the parentheses and rearrange it, you get

t - 2 + t - 2 + t - 2

t + t + t - 2 - 2 - 2

(t + t + t) + (-2 + -2 + -2)

3t + 3(-2).

Does that make sense? Drawing a picture can help too:

\(3 \times (\square + \blacksquare) = \square \blacksquare + \square\blacksquare + \square\blacksquare = (\square\square\square) + (\blacksquare\blacksquare\blacksquare) = (3 \times \square) + (3 \times \blacksquare)\)

Anyway so for #1 we have 3(t - 2), which equals 3(t) + 3(-2), which is 3t + -6.

For #2 we have 0.2(y + 2)  =  0.2y + 0.2(2)  =  0.2y + 0.4.

Answer:

Step-by-step explanation:

given that m is parallel to n,

the angle opposite (2x + 16)° is also (2x + 16)° as vertically opposite angles are equal.

using the corresponding angle rule we know that:

2x + 16 = 96

2x = 80

so x = 40

Answer:

it's is d

Step-by-step explanation:

seening this info

for every 2/3 of cold water there is 1/2 of vegetable Oil

to make this answer complte if if we add a another cup of water the amount that is requared  and since were adding 1/2 of oil which is 2/3 of water need adding 2/3+2/3=4/3

Hence 4/3 or D is right

1. The slopes of perpendicular lines are  a negative reciprocal

2. Parallel lines have the same slope.

3. The shortest distance from any point to a line is a straight line

The slope of two perpendicular lines is such that the slope of one line is equal to the reciprocal of the negative slope of the other.

if two lines of slope m and m' are perpendicular their slopes is written as

m = -1/m'

Parallel lines grow vertically and flow horizontally at the same rate. they have the same slope, they never cross.

if two lines of slope m and m' are perpendicular their slopes is written as

m = m'

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Answer:

O No, because 3²+9² <17²

Step-by-step explanation:

O No, because 3²+9² <17²

Answer:

The year 2020 is a leap year, which means February will have 29 days rather than 28, and the overall number of days will be 366 rather than 365. This was also the case in 2016, and the year 2024 will be a leap year once more.

Step-by-step explanation:

Answer:

28

Step-by-step explanation:

\(4(3)^{2}+2(-5)-(-2)=36-10+2= 28\)

Hope this helps

Option D is the correct answer.

From the graph, we can conclude that,

1. The two lines are continuous lines and not broken lines. So, the inequality sign should be either ≤ or ≥.

2. The points on the lines of the shaded region are also included in the solution.

The only option that matches with the above conditions is option D. So, option D is the correct answer.

Let us verify it.

Now, let us consider a point that is inside the shaded region and also on any one line.

Let us take (0, 2).

Plug in 0 for x and 2 for y in each of the options and check which inequality holds true.

Considering the inequalities,

y ≥ 3x - 2

x + 2y ≤ 4

Solving we get,

2 ≥ 3(0) - 2

2 ≥ -2

x + 2y ≤ 4

0 + 2(2) ≤ 4

4 ≤ 4

Here, both inequalities are correct.

So, option D is the correct answer.

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The complete question is =

Which system of linear inequalities is graphed?

A. y < 3x-2

x + 2y ≥ 4

B. y < 3x - 2

x + 2y > 4

C. y > 3x - 2

x + 2y < 4

D. y ≥ 3x - 2

x + 2y ≤ 4

When Jackson wrote different patterns for the rule "subtract 5", the patterns that he could have written include

A. 27, 22, 17, 12, 7

D. 100, 95, 90, 85, 80

It is important to note that an expression is simply used to show the relationship between the variables that are provided or the data given regarding an information. In this case, it is vital to note that they have at least two terms which have to be related by through an operator.

Some of the mathematical operations that are illustrated in this case include addition, subtraction, etc. In this case, when Jackson wrote different patterns for the rule "subtract 5", the patterns that he could have written include 27, 22, 17, 12, 7 and 100, 95, 90, 85, 80. In this cases, there are difference of 5.

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Complete question

Jackson wrote different patterns for the rule "subtract 5". Select all of the patterns that he could have written.

27, 22, 17, 12, 7

5, 10, 15, 20, 25

55, 50, 35, 30, 25

100, 95, 90, 85, 80

75, 65, 55, 45, 35

Answer:

h = 14 units

Step-by-step explanation:

area of parallelogram = bh

plug everything in: 84 = (6)h

h = 84/6 = 14

Part a; compounded semiannually (n = 2); CI =  $6,390.

Part b: compounded quarterly ( n = 4) ; CI =  $6,425

Part c: compounded monthly (n = 12): CI =  $6,450

Part d: compounded continuously; CI =  $6,467.

The compound interest is calumniated by formula.

A = P(1 + r/100n)∧nt

In which,

A  = amount after compounding

P = principal amount  ($20,000 )

n = number of time principal amount compounded in a year.

t = total time in years (7 years)

r= rate of interest (4%)

Part a; compounded semiannually (n = 2)

A = P(1 + r/100n)∧nt

A = 20,000(1 + 4/200)∧(2x7)

A = 26390

CI = A - P

CI =  26,390 -  20,000

CI =  $6,390.

Part b: compounded quarterly ( n = 4)

A = 20,000(1 + 4/400)∧(4x7)

A = 26425

CI = A - P

CI =  26,425 -  20,000

CI =  $6,425

Part c: compounded monthly (n = 12)

A = 20,000(1 + 4/1200)∧(12x7)

A = 26450

CI = A - P

CI =  26,450-  20,000

CI =  $6,450

Part d: compounded continuously.

P = P₀e∧rt

P = (20,000)(2.72)∧(0.04 x 7)

P = 20,000 x 1.32

P = 26,467

CI =  26,467 - 20, 000

CI =  $6,467.

Thus, the for compounded continuously is $6,467.

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Answer:

\(\displaystyle y=-7x-5\)

Step-by-step explanation:

Equation of the Line

The equation of a line passing through points (x1,y1) and (x2,y2) can be found as follows:

\(\displaystyle y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)\)

We'll take the first two points (-2,9) and (-1,2)

\(\displaystyle y-9=\frac{2-9}{-1+2}(x+2)\)

Operating:

\(\displaystyle y-9=\frac{-7}{1}(x+2)\)

\(\displaystyle y-9=-7(x+2)\)

\(\displaystyle y-9=-7x-14\)

Adding 9:

\(\boxed{\displaystyle y=-7x-5}\)

Substituting the last two points we can verify they also belong to the line.