Last week, a dairy farm produced pkg of cheese.
The dairy farm also produced 24 kg more yoghurt than cheese and 3 times as much ice cream as cheese.
The dairy farm produced more kilograms of ice cream than yoghurt last week.
Write and solve an inequality to work out the possible values of p.

Answer:

6(2)x = 384

12x = 384

12x/12 = 384/12

x = 32

Step-by-step explanation:

The percentage of scores that are less than 144 is 85.31%, given the normal distribution.

In the question, we are given that scores on a test are normally distributed with a mean of 123 and a standard deviation of 20.

We are asked to find the percent of scores that are less than 144.

Thus, we have:

Mean, μ = 123,

Standard Deviation, σ = 20.

The value to check, x = 144.

To find the percentage score, we will use the Z-Score table, with the formula, z = (x - μ)/σ.

We are asked to calculate the percentage of scores less than 144, that is,

P(X < 144)

= P(Z < (144 - 123)/20)

= P(Z < 21/20)

= P(Z < 1.05)

= 0.8531 {From the table}

= 85.31%.

Thus, The percentage of scores that are less than 144 is 85.31%, given the normal distribution.

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The value of f(x) is 13, when x = 10

Functions are used to represent equations, graphs and ordered pairs

The equation of the function is given as:

\(f(x) = x/2 + 8\)

When x =10, the equation becomes

\(f(10) = 10/2 + 8\)

Divide 10 by 2

\(f(10) = 5 + 8\)

Add 5 and 8

\(f(10) =13\)

Hence, f(x) is 13, when x = 10

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1. p=-5

2.w=20

3.x=14

4. y= 17 over 10

In order to solve these, you want to combine the variables then isolate them on one side by adding/subtracting or multiplying/dividing whatever number is still with them.

4p + 8p + 12 = −48    

We combine 4p and 8p into 12p, and 12 is subtracted from both sides to remove it from the left side make -60 on the right side.

12p = -60

Now we divide both sides by 12, to remove the 12 from 12p, and we end up with p = -5

p = -5

9w + 33 = 12w – 27

-3w = -60

w = 20

−2x + 7 = −21

-2x = -28

x = 14

25 = 10y + 8

10y = 17

y = 1.7

The integers greater than 999 but not greater than 4000 is 375.

Integers are the collection of whole numbers and negative numbers. Similar to whole numbers, integers also does not include the fractional part. Thus, we can say, integers are numbers that can be positive, negative or zero, but cannot be a fraction. We can perform all the arithmetic operations, like addition, subtraction, multiplication and division, on integers. The examples of integers are, 1, 2, 5,8, -9, -12, etc. The symbol of integers is “Z“.

The smallest number in the series is 1000, a4-digit number.

The largest number in the series is 4000, a4-digit number

The left most digits (thousands place) of each of the 4 digit numbers other than 4000 can take one of the 3 values 1 or 2 or 3.

The next 3 digits (hundreds, tens and units place) can take any of the 5 values 0 or 1 or 2 or 3 or 4.

Hence, there are 3×5×5×5 or 375 numbers from 1000 to 3999.

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Add the amount they normally sell to the amount more:

10,576 + 15,498 = 26,074

Answer: 26,074

Answer:

26,074

Step-by-step explanation:

      1  1 1

    10,576

+   15,498

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

    26,074

Answer:

53.54m

Step-by-step explanation:

Using the formulas

A=πr2

d=2r

Solving for d

d=2A

π=2·2251

π≈53.53562m

Answer:

(1/2) and 9/10

Step-by-step explanation:

\(\dfrac{1}{2}+\dfrac{9}{10}=\dfrac{1*5}{2*5}+\dfrac{9}{10}\\\\\\=\dfrac{5}{10}+\dfrac{9}{10}\\\\=\dfrac{14}{10}\\\\=\dfrac{7}{5}\\\\=1\dfrac{2}{5}\)

Answer:

The expression represents the price you paid per gallon is:

Step-by-step explanation:

To identify the expression is right, I'll show you with an example: suppose that you paid $56 buying 7 gallons of gas, now you can replace those values in the expression I gave you:

And you can check this value by multiplying the price paid by the gallon and the number of gallons, which you obtain the number of dollars you spent:

Answer:

here (edit I made a mistake)

Step-by-step explanation:

9) \(y=\frac{3}{5} x +5\)

10) y = x - 3

11)  \(y=-\frac{3}{5} x - 3\)

12) \(y=\frac{5}{4} x + 2\)

these are the slop int forms, my bad...

sorry

Answer:

9) -3/5x + y = 5

10) -x + y = -3

11) 3/5x + y = -3

12) -5/4x + y = 2

Step-by-step explanation:

Answer:

Step-by-step explanation:

A. Yes; they are vertical angles.

B. Yes; they are alternate interior angles.

C. Yes; they are alternate exterior angles.

D. No; the triangles are different sizes.

Answer:

b) Yes; they are alternate interior angles.

Step-by-step explanation:

Now we have to,

→ find whether m∠BAF = m∠CEF.

Then the answer will be,

→ m∠BAF = m∠CEF

(Because they are alternate interior angles, the line AB is parallel to CE)

Hence, option (b) is correct answer.

The required rectangle is not a golden rectangle. Option A no is correct.

The rectangle is 4 sided geometric shape whose opposites are equal in lengths and all angles are about 90°.

Here,

To find the ratio of the long side to the short side, we divide the longer side by the shorter side. If the rectangle is a golden rectangle, the ratio of the long side to the short side should be approximately 1.618.

In this case, the longer side is 8.8 and the shorter side is 2. So, the ratio is 8.8/2 = 4.4. Since 4.4 is not approximately equal to 1.618, the rectangle is not a golden rectangle.

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To identify the vertex, domain, and range of the function f(x) = (x - 2)^2/4, we can analyze the given quadratic function.

The vertex form of a quadratic function is given by f(x) = a(x - h)^2 + k, where (h, k) represents the coordinates of the vertex.

Comparing the given function f(x) = (x - 2)^2/4 with the vertex form, we can observe that:

a = 1/4 (coefficient of the squared term)

h = 2 (opposite sign of the term within the parentheses)

k = 0 (no constant term)

Vertex:

The x-coordinate of the vertex is given by h, which is 2 in this case.

The y-coordinate of the vertex is given by k, which is 0 in this case.

Therefore, the vertex of the function f(x) = (x - 2)^2/4 is (2, 0).

Domain:

The domain represents the set of all possible x-values for which the function is defined. In this case, the function is a quadratic function, which is defined for all real numbers.

Hence, the domain of the function f(x) = (x - 2)^2/4 is (-∞, +∞) or (-∞, ∞).

Range:

The range represents the set of all possible y-values that the function can take. Since the coefficient of the squared term (1/4) is positive, the graph of the function opens upwards, indicating that the function has a minimum value at the vertex. As a result, the minimum y-value of the function is 0 (which is the y-coordinate of the vertex).

Thus, the range of the function f(x) = (x - 2)^2/4 is [0, +∞) or [0, ∞).

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Let's take this problem step by step:

To find the ordered pair of the system:

⇒ must set both equations equal to each other

    ⇒ must solve for 'x'

Let's solve:

 \(x^2-2x+3=-2x+28\\x^2-2x+3+2x-28=0\\x^2-25=0\\(x-5)(x+5)=0\)

Let's find the x-values:

 \((x-5)=0\\x=5\\\\(x+5)=0\\x=-5\)

Let's find f(x)'s value for each of the 'x':

\(x=5\\f(5)=-2(5)+28=18\\\\x=-5\\f(-5)=-2(-5)+28=38\)

Answer: (5, 18), (-5,38)

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Answer:

The longer rope is 31.9882ft long or 975cm.

The shorter rope is 31.0039ft long or 945cm.

Step-by-step explanation:

Convert 63ft to cm, which is 1920cm.

Divide 1920cm by 2. Which give 960cm. So if both sides were cut equally this would be the length but one is 15cm longer.

So we add 15cm to 960 cm, which is 975cm, thus thats the length for the longer rope.

To find the shorter one we just subtract 15cm from 960cm and we get 945cm.

Convert both final measurements back to ft if required.

Answer:

a] 1400 grams

b] 200 grams

c]600 grams

Step-by-step explanation:

1.4  x 1000=1400 grams

1.4 divide by 7 is 0.2 kg

0.2 x 3 = 0.6 x 1000=600 grams

Answer:

9 pi

Step-by-step explanation:

If the radius is 12, then the diameter would be 24 and the entire circle would be 24 pi.

24 times 3/8= 9

I used 3/8 because the unit circle has a circumference of 2pi so I divided it by 2.

The centre line of a control chart is calculated by computing the average (mean) of the data for every period.

In control chart analysis, the centre line represents the central tendency or average value of the process being monitored. It is typically obtained by calculating the mean of the data points collected over a specific period. The purpose of the centre line is to provide a reference point against which the process performance can be compared. Any data points falling within acceptable limits around the centre line indicate that the process is stable and under control.

The calculation of the centre line involves summing up the values of the data points and dividing it by the number of data points. This average is then plotted on the control chart as the centre line. By monitoring subsequent data points and their distance from the centre line, deviations and trends in the process can be identified. Deviations beyond the control limits may indicate special causes of variation that require investigation and corrective action. Therefore, the centre line is a critical element in control chart analysis for understanding the baseline performance of a process and detecting any shifts or changes over time.

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Applying the general Ohm's Law, it is found that:

a) The impedance is of 8 + 4i ohms.

b) The current is of 17.6 + 8.8i amperes.

c) The impedance is of -11i ohms.

Ohm's Law states that voltage is current multiplied by impedance, that is:

\(V = IZ\)

Standard voltage of 220 volts, thus \(V = 220\).

Item a:

Current is 22 - 11i amps, thus \(I = 22 - 11i\). Then:

\(V = IZ\)

\(220 = (22 - 11i)Z\)

\(Z = \frac{220}{22 - 11i} \times \frac{22 + 11i}{22 + 11i}\)

Considering \(i^2 = -1\)

\(Z = \frac{220(22 + 11i)}{605}\)

\(Z = 0.3636(22 + 11i)\)

\(Z = 8 + 4i\)

The impedance is of 8 + 4i ohms.

Item b:

Impedance is 10 - 5i ohms, thus \(Z = 10 - 5i\). Then

\(V = IZ\)

\(220 = (10 - 5i)I\)

\(I = \frac{220}{10 - 5i} \times \frac{10 + 5i}{10 + 5i}\)

\(I = \frac{220(10 + 5i)}{125}\)

\(I = 1.76(10 + 5i)\)

\(I = 17.6 + 8.8i\)

The current is of 17.6 + 8.8i amperes.

Item c:

Current is 20i amps, thus \(I = 20i\). Then:

\(V = IZ\)

\(220 = 20iZ\)

\(Z = \frac{220}{20i} \times \frac{20i}{20i}\)

\(Z = -\frac{220 \times 20i}{400}\)

\(Z = -11i\)

The impedance is of -11i ohms.

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Answer:

C

Step-by-step explanation:

the statement (y<1/2x -4) reads "y is LESS than 1/2 x -4."

to fulfil this statement, follow these steps.

1) graph the line 1/2x -4, there will be a yintercept at (0,-4). Also the slope will be increasing (left to right) because 1/2 has no negative sign before it.

2) recognize the inequality sign. In this situation, the solution does NOT INCLUDE THE LINE, rather it includes the area BELOW/LESS THAN the line. If this, < had a line under it, it would mean less than OR equal to.

3) know that if the line is not included, the line will be broken. If the line IS included, which it is not, it would be a solid line.

Answer:

C

Step-by-step explanation:

First, graph the equation:

The y-intercept is -4.

And the slope is 1/2, an upward sloping line.

So, our graph should be either A, B, or C.

D is not correct, so eliminate that.

So, our inequality is:

\(y<\frac{1}{2}x-4\)

Note that this inequality is strictly less than. There's no "or equal to" bar. Therefore, our line should be dotted.

Thus, eliminate A and B.

So, C is our answer

Further notes:

The inequality sign means that y is less than the equation. In other words, our shaded region should be below the line.

In C, the shaded area is indeed below the line.

So, C is indeed our answer :)

The company's profit for selling 10 tractors is $48700.

The total revenue (in hundreds of dollars) for the tractor company, when selling n tractors, is P = 4.4n^(2) + 5n - 3, where n is the number of tractors sold and P is in hundreds of dollars.

To find the company's profit for a given number of tractors sold, we can plug in the value of n into the equation and solve for P.
For example, if the company sells 10 tractors, we can plug in n=10 into the equation:

P=4.4(10)^(2)+5(10)-3
P=4.4(100)+50-3
P=440+50-3
P=487

Therefore, the company's profit for selling 10 tractors is $48700 (since P is in hundreds of dollars).

Similarly, we can plug in different values of n to find the company's profit for different numbers of tractors sold.

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The radius of the sphere is changing at a negative rate because the snowball is getting smaller as time goes on. Thus, the rate of change that is dr/dt = - 4.

The rate of change (ROC) measures how quickly a variable alters over a predetermined amount of time. When discussing momentum, the term "rate of change" (ROC) is frequently used. It is typically defined as the ratio of a change in one variable to a matching change in another; visually, the rate of change is represented by the slope of a line.

The radius of the snowball, which is supposed to be a perfect spherical, is shrinking at a pace of 4 inches each hour.

I. The radius of the sphere is changing at a negative rate because the snowball is getting smaller as time goes on.

Thus, the rate of change that is dr/dt = - 4.

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Answer:

it might be 13/3 or just 13

Step-by-step explanation:

try doing 200 divided by 15

The poem For Want of a Nail is a warning about how small things can have large and unforeseen consequences. The lack of a horseshoe could lead to the loss of a horse, which could result in the loss of a rider, which could lead to the loss of a battle.

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Step-by-step explanation:

\(fog(x) = (8 - 3x)^{2} - 7(8 - 3x) - 13\)

\(fog(x) = 9 {x}^{2} - 27x - 5\)

\(fog(-1) = 31 \)

Answer:

1 hour and 4 minutes

Step-by-step explanation:

Answer:

q 3 = 3/12.2/9 q4 = 15/40.14/39

\(3x + x - 4 + 100 = 180\)

\(4x + 96 = 180\)

\(4x = 180 - 96\)

\(4x = 84\)

\( \frac{4x}{4} = \frac{84}{4} \)

\(x = 21\)

Slope is  $0.15 of the equation of cost  C=$0.15t+$35.00.

The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.

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

The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is

m=y₂-y₁/x₂-x₁

Given that A cell phone company uses the equation C=$0.15t+$35.00

C is the total cost for a month of service.

t is the number of text messages.

We have to find the slope of the equation.

slope is 0.15 and 35.00 is the y intercept of the equation given.

Hence, slope is  $0.15 of the equation of cost  C=$0.15t+$35.00.

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Answer:

output = input^3 - 2

Step-by-step explanation: