Step 1: -10 + 8x < 6x-4
Step 2: -10 <-2x - 4
Step 3: -6<-2x
Step 4:
What is the final step in solving the inequality - 2(5 -
4x) < 6x - 4
O X<-3
OX-3
O x<3
Ox>3

Answer:

7(x+9)=2

Step-by-step explanation:

Answer:

C)

Step-by-step explanation:

The correct answer is C: Tony did not use the property correctly because he did not multiply every term on both sides of the equals sign by 1/4.

To solve the equation 4x = 12x + 20, Tony used the multiplicative property of equality but made an error in the application. The correct approach would be to multiply every term on both sides of the equals sign by the reciprocal of the coefficient of x, which is 1/4 in this case.

However, Tony only multiplied one term on each side by 1/4, resulting in equation x = 3x + 20. This action is incorrect because it does not apply the property to every term containing x. To solve the equation correctly, Tony should have multiplied both sides by 1/4, resulting in x/4 = (3x + 20)/4.

Answer:

87 degrees

Step-by-step explanation:

9x+6 + 7x-2 = 148

16x+4 = 148

16x = 144

x = 9

Plug into 9x+6

9(9)+6 = 87

Answer:

1.35kg

Step-by-step explanation:

450g : 6 people

x : 18 people

To get from 6 to 18, multiply by 3 so do the same to the other side

450 × 3 = 1350g

To convert from g to kg divide by 1000

1350 ÷ 1000 = 1.35kg

Answer:

6x-8=2x+4

6x-2x=8+4

4x=12

x=3

The probability of event B occurring is 0.2.

P(B) = P(A ∪ B) − P(A)

P(B) = 0.3 - 0.1

P(B) = 0.2

The probability of event B occurring can be calculated by subtracting the probability of event A occurring but event B not occurring, from the probability of the union of both events A and B occurring. The formula for this calculation is P(B) = P(A ∪ B) − P(A). In this case, the probability of event A occurring but event B not occurring is 0.1 and the probability of the union of both events A and B occurring is 0.3. By inputting these values into the formula, we got P(B) = 0.3 - 0.1 = 0.2, meaning that the probability of event B occurring is 0.2.

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Answer:

The coordinates of the centroid are:

\(O\:=\:\left(4,\:5\right)\:\:\)

The diagram is also attached below.

Step-by-step explanation:

Given the vertices

We know that the intersection of medians brings the centroid of the triangle.

The centroid of a triangle is given by

\(O\:=\:\left(\frac{P_x+Q_x+R_x}{3},\:\frac{P_y+Q_y+R_y}{3}\:\right)\)

In this example,

\(P_x=-1,\:P_y=7\)

\(Qx=9,\:Q_y=5\)

\(Rx=4,\:R_y=3\)

substituting in the formula

\(O\:=\:\left(\frac{-1+9+4}{3},\:\frac{7+5+3}{3}\:\right)\:\:\)

\(O\:=\:\left(\frac{12}{3},\:\frac{15}{3}\:\right)\:\:\)

\(O\:=\:\left(4,\:5\right)\:\:\)

Therefore, the coordinates of the centroid are:

\(O\:=\:\left(4,\:5\right)\:\:\)

The diagram is also attached below.

We've been given with the co-ordinates of vertices of the triangle and asked to calculate the co-ordinates of the centroid.

★ Centroid of a triangle :-

We have :

Substituting the values :

★ For x co-ordinate:-

\(: \: \implies \: \sf{x\: = \: \dfrac{x_{1} \: + \: x_2 \: + \: x_3}{3} } \\ \\ : \: \implies \: \sf{x\: = \: \dfrac{ - 1 \: + \: 9 \: + \: 4}{3}} \\ \\ : \: \implies \: \sf{x\: = \: \dfrac{ 8 \: + \: 4}{3} } \\ \\ : \: \implies \: \sf{x\: = \: \dfrac{ 12}{3} } \\ \\ : \: \implies \: \sf{x\: = \: \cancel\dfrac{ 12}{3} } \\ \\ : \: \implies \: \sf{x\: = \: 4 }\)

★ For y co-ordinate:-

\(: \: \implies \: \sf{y\: = \: \dfrac{y_{1} \: + \: y_2 \: + \: y_3}{3} } \\ \\ : \: \implies \: \sf{y\: = \: \dfrac{ 7 + 5 + 3}{3}} \\ \\ : \: \implies \: \sf{y\: = \: \dfrac{ 10 \: + \: 5}{3} } \\ \\ : \: \implies \: \sf{y\: = \: \dfrac{ 15}{3} } \\ \\ : \: \implies \: \sf{y\: = \: \cancel\dfrac{ 15}{3} } \\ \\ : \: \implies \: \sf{y\: = \: 5 }\)

★ Henceforth,

Additional Information :

★ Midpoint of two points:-

★ Distance Formula :-

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Using compound interest, it is found that:

\(A(t) = P\left(1 + \frac{r}{n}\right)^{nt}\)

In this problem:

Then, the balance is:

\(A(5) = P\left(1 + \frac{r}{n}\right)^{nt}\)

\(A(5) = 5000\left(1 + \frac{0.03}{4}\right)^{4(5)}\)

\(A(5) = 5804\)

With interest compound quarterly, the balance is of Php 5,804.

Now, with annual interest, we have that \(n = 1\), and:

\(A(5) = P\left(1 + \frac{r}{n}\right)^{nt}\)

\(A(5) = 5000\left(1 + \frac{0.03}{1}\right)^{1(5)}\)

\(A(5) = 5796\)

With interest compound annually, the balance is of Php 5,796.

Due to the higher balance, the quarterly compound gives the higher interest.

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Answer:

≅3.33 miles per hour

Step-by-step explanation:

take total distance and divide it by time

5/1.5

3.33

Answer:

if you make a drawing, you will see that you have created a right triangle with the angle of elevation opposite the leg that is the height of the flagpole.

The length of the shadow is the other leg, adjacent to the angle of elevation.

Applying the trigonometric identity for right triangles:

tan(angle of elevation) = opposite/adjacent -->

tan(15) = height/37 -->

height = 37 * tan(15) = 9.9

Answer:-94 i took the quiz/test

Step-by-step explanation:

Answer:y=9

Step-by-step explanation:

Answer:84 boats

Step-by-step explanation:3/4 of all boats in the marina are white. Therefore, the remaining 1/4 of boats are not white. From the 1/4 of non-white boats, 4/7 of them are blue. That means that 3/7 of the 1/4 non-white boats are red. We know that summing up all fractions of boat colors should give us a value of 1, shown below.

fraction of white boats + fraction of blue boats + fraction of red boats = 1

3/4 + 1/4(4/7) + 1/4(3/7) = 1

The fraction of red boats out of all boats is 1/4(3/7) or 3/28.

If we let the variable T = total number of boats and R = number of red boats, the number of red boats over total should equal the fraction of red boats, R/T = 3/28.

Plugging in R = 9, we can solve for the total number of boats in the marina.

R/T = 3/28

9/T = 3/28

9 = 3T/28

9*28/3 = T

T = 84

There are 84 boats in the marina.

i hope i have helped u and have a wonderful night

Answer:

There are 10 boys and 6 girls in the class

Step-by-step explanation:

The given parameters are;

The number of boys = The number of girls + 4

The number of students in the class = 16

Let x represent the number of girls in the class and let y represent the number of boys in the class

Therefore;

y = x + 4...(1)

x + y = 16...(2)

Making y the subject of equation (2) gives;

y = 16 - x

Equating the values of y from equation (1) and equation (2) gives;

x + 4 = 16 - x

Which gives;

2·x = 16 - 4 = 12

x = 12/2 = 6

x = 6

The number of girls = x = 6

From equation (1), we have;

y = x + 4 = 6 + 4 = 10

y = 10

The number of boys = y = 10.

Answer:

y=-1/2x+2.5

Step-by-step explanation:

The slope is negative so the line would be ing to left side of the coordinate plane. the next point would be (-1,3) meaning that the line would pass the y-axis at 2.5.

a) The exact real interest rate is approximately -5.75%.

b) The exact real interest rate is approximately 4.24%.

c) The exact real interest rate is approximately -2.38%.
d) The exact real interest rate is approximately -99.85%.
e) When the nominal interest rate (i) is greater than the inflation rate (π), the real interest rate (R) is positive.

Step by step:

a) To find the exact real interest rate (R), we can use the formula R = (1+π)/(1+i) - 1, where π is the inflation rate and i is the nominal interest rate.
Given that i = 5.5% and π = 4.5%, we can substitute these values into the formula:

R = (1+0.045)/(1+0.055) - 1
R = 1.045/1.055 - 1
R ≈ 0.9425 - 1
R ≈ -0.0575

Therefore, the exact real interest rate is approximately -5.75%.


b) For i = 18% and π = 23%:
R = (1+0.23)/(1+0.18) - 1
R = 1.23/1.18 - 1
R ≈ 1.0424 - 1
R ≈ 0.0424

Therefore, the exact real interest rate is approximately 4.24%.


c) For i = 5% and π = 2.5%:
R = (1+0.025)/(1+0.05) - 1
R = 1.025/1.05 - 1
R ≈ 0.9762 - 1
R ≈ -0.0238

Therefore,  

d) For i = 1.05% and π = 1.2%:
R = (1+0.012)/(1+0.0105) - 1
R = 1.012/1.0105 - 1
R ≈ 0.0015 - 1
R ≈ -0.9985

Therefore, the exact real interest rate is approximately -99.85%.

e) From the results obtained, we can draw the following conclusions about interest rates and inflation:

- When the nominal interest rate (i) is greater than the inflation rate (π), the real interest rate (R) is positive.

- When the nominal interest rate (i) is equal to the inflation rate (π), the real interest rate (R) is approximately zero.

- When the nominal interest rate (i) is less than the inflation rate (π), the real interest rate (R) is negative.

- Higher inflation rates generally lead to lower real interest rates, as the purchasing power of money decreases.

- Lower inflation rates generally lead to higher real interest rates, as the purchasing power of money increases.

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The adjustments may involve balancing the nutrient composition, addressing amino acid imbalances, increasing calcium and phosphorus levels, ensuring adequate sodium content, and considering different feed forms.

Based on the given information, the poultry layer ration contains the following ingredients:

- Maize: 612 g/kg

- Barley: 158 g/kg

- Molasses: 20 g/kg

- Cottonseed Meal: 100 g/kg

- Fish Meal: 100 g/kg

- Dicalcium Phosphate: 10 g/kg

The ration also provides the total requirements for various nutrients, such as metabolizable energy (ME), crude protein (CP), lysine (LYS), methionine (MET), phenylalanine (PHE), tryptophan (TRP), calcium (Ca), phosphorus (P), and sodium (Na).

The complaints regarding funny-looking and terrible-tasting eggs, along with a slight decrease in feed intake, suggest that there may be issues with the ration that are impacting egg quality and palatability. Based on this information, here are some possible explanations and recommendations:

1. Imbalanced Nutrient Composition: The nutrient content of the ration may be imbalanced, leading to poor egg quality and taste. It's important to ensure that the nutrient levels are appropriate for poultry layer production. A consultation with a poultry nutritionist or veterinarian would be beneficial to determine the correct nutrient ratios for the ration.

2. Inadequate Amino Acid Balance: The amino acid balance in the ration is crucial for egg production and quality. The levels of lysine (LYS), methionine (MET), phenylalanine (PHE), and tryptophan (TRP) should be carefully evaluated. Supplementing the ration with specific amino acids or adjusting the protein sources may help improve egg quality.

3. Insufficient Calcium and Phosphorus: Calcium and phosphorus are essential for eggshell formation. The provided ration appears to have low levels of calcium (Ca) and phosphorus (P), which can lead to weak or abnormal eggshells. Increasing the levels of these minerals, either by adjusting the ratio of existing ingredients or incorporating additional calcium and phosphorus sources, may help address this issue.

4. Sodium Imbalance: Sodium (Na) is required for various physiological functions, including egg production. However, the ration seems to have a low sodium content. Ensuring adequate sodium levels in the diet might help stimulate feed intake and improve overall performance.

5. Texture and Processing: The ration is described as a coarsely ground mash. The texture and processing of the feed can influence how well the birds consume and utilize the ration. It might be worth exploring different feed forms (e.g., pellets or crumbles) to improve intake and digestion.

Overall, to alleviate the reported issues with egg quality and palatability, it is recommended to consult with a poultry nutritionist or veterinarian to reformulate the ration. The adjustments may involve balancing the nutrient composition, addressing amino acid imbalances, increasing calcium and phosphorus levels, ensuring adequate sodium content, and considering different feed forms.

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Step-by-step explanation:

The LCM of  x² - x and 3 - 3x is given by the  expression 6x² −3x³  −3x.

Equatiοns are statements in mathematics that have twο algebraic expressiοns οn either side οf the equals (=) sign.

It shοws that the expressiοns printed οn the left and right sides have an equal relatiοnship.

In any mathematical equatiοn, we have LHS = RHS (left hand side = right hand side).

Equatiοns can be sοlved tο find the value οf an unknοwn variable that represents an unknοwn quantity.

LCM of unkone terms are given by their product:

(x² - x) × (3 - 3x)

= (3x² -  3x³) - (3x -3x²)

= 3x² -  3x³ - 3x + 3x²

= 6x² −3x³  −3x

Thus, the LCM of  x² - x and 3 - 3x is given by the  expression 6x² −3x³  −3x.

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Answer:

5

Step-by-step explanation:

Answer:

Rewrite the expression= 5^2

Step-by-step explanation:

With the same base number of 5, one adds the exponents.

In this case 5^-2*5^-4*5^8    8-6=2 as the exponent

Answer:

18

Step-by-step explanation:

We will try to find the angle on the left side of the small triangle. So we have to use Tan.

SOHCAHTOA

TanФ = 12/8

\(Tan^{-1}\) = 12/8   = 56.31°

So the other one is 33.69°  It's the top left one of the smaller triangle.

The top right side of the bigger triangle is 56.31 because they both add up to make 90°

Now that we have an angle of the bigger triangle we will find the x.

Tan 56.31 = x/12

x = 18

Theres probably a easier way but i dunno

a. A graph of the functions f(x) and g(x) is shown in the image attached below.

b. A function that could be described as exponential is f(x).

c. The value of x for which the function values are equal is -2.678.

In Mathematics and Geometry, an exponential function can be modeled by using this mathematical equation:

\(f(x)=a(b)^x\)

Where:

In this scenario, we would use an online graphing calculator to plot the given exponential function as shown in the graph attached below.

Part b.

By critically observing the graph of the functions f(x) and g(x), we can logically deduce that only f(x) represent an exponential function.

Part c.

For the value of x for which the function values are equal, we have:

\(0.3333x + 7 = 1.1487e^{-0.624x}\\\\7 = 1.1487e^{-0.624x}-0.3333x\)

x = -2.678.

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Step-by-step explanation:

18hr.

2m =1hr

but go 2m it will slips down 1m

is 1m =1hr

i am not sure

Answer:

NO SE

Step-by-step explanation:

The margin of error for a poll is a measure of the uncertainty surrounding the results, expressed as a percentage. It represents the range within which the true value of the population parameter being estimated (e.g., support for a political candidate) is likely to fall with a certain level of confidence (usually 95%).

To calculate the margin of error for a poll with a sample size of 800 people, we can use the following formula:

Margin of Error = (1.96 * sqrt(p * (1 - p) / n)) * 100

Here, "1.96" is the critical value for a 95% confidence level, "p" is the estimated proportion (assuming a 50% proportion for the maximum possible margin of error), and "n" is the sample size (800 in this case).

Plugging in the values:

Margin of Error = (1.96 * sqrt(0.5 * (1 - 0.5) / 800)) * 100

Margin of Error ≈ 3.49%

Rounding to the nearest hundredth of a percent, the margin of error for a poll with a sample size of 800 people is approximately 3.49%. This means that the true value of the population parameter is likely to fall within a range of ±3.49% of the poll's reported value with a 95% confidence level.

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Answer:

1, 0, 2, 3

Step-by-step explanation:

Answer:

1, 0, 2, 3

Step-by-step explanation:

The x-coordinate of the point on the curve where the tangent line has a slope of 27 is \(\((-1/52)^2 + 1 = \frac{1}{2704} + 1 = \frac{2705}{2704}\).\)

The slope of the tangent line is given as 27. We can find the slope of the curve by differentiating y with respect to x. Using implicit differentiation, we have:

\(\(\frac{dy}{dx} = \frac{\frac{dy}{dt}}{\frac{dx}{dt}}\)\)

Taking the derivatives of x and y, we get:

\(\(\frac{dy}{dt} = 2t - 1\)\)

\(\(\frac{dx}{dt} = 2t\)\)

Substituting these derivatives into the slope equation, we have:

\(\(27 = \frac{2t - 1}{2t}\)\)

Simplifying the equation, we get:

\(\(27 = 1 - \frac{1}{2t}\)\)

To find the value of t, we solve for \(t\) by isolating the term with \(t\) on one side:

\(\(\frac{1}{2t} = 1 - 27\)\)

\(\(\frac{1}{2t} = -26\)\)

Taking the reciprocal of both sides and simplifying, we have:

\(\(2t = -\frac{1}{26}\)\)

\(\(t = -\frac{1}{52}\)\)

Therefore, the x-coordinate of the point on the curve where the tangent line has a slope of 27 is\(\((-1/52)^2 + 1 = \frac{1}{2704} + 1 = \frac{2705}{2704}\).\)

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The outcomes that satisfy event A are A = {3, 6}. These are the numbers on which the die can land to fulfill the condition of being a multiple of 3.

The study of probabilities, which are determined by the ratio of favorable occurrences to probable cases, is known as probability.

In the given sample space S = {1, 2, 3, 4, 5, 6}, we have all the possible outcomes when rolling a six-sided die.

The event A is defined as "The die lands on a multiple of 3." Multiples of 3 in the given sample space are 3 and 6 since these numbers can be divided evenly by 3 without any remainder.

Therefore, A = 3, 6 is the set of outcomes that satisfy event A. These are the possible outcomes for the die to land on in order to satisfy the requirement of being a multiple of 3.

The complete question is:

Consider rolling a six-sided die, numbered 1-6. Whatever number lands face up is your score. Fill in the missing value to describe the sample space of a single roll of the dice: S = {1, 2 , 3, 4, 5, 6} And suppose you were interested in the event A = The die lands on a multiple of 3. Fill in the blanks to show all the outcomes which satisfy A:

A = {_ , _ }

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The diameter in the first week is 24 m

The diameter in the second week is 47.9 m

The circumference of a circle is the distance around its outer edge. It is calculated by multiplying the diameter of the circle by the mathematical constant pi (π)

We have that;

Circumference in the first week = 75.36 m

We know thatr;

C = 2πr

C = circumference

r = radius

Thus;

r = C/2π

r = 75.36/2 * 3.14

r = 12

D = 2r

= 2(12) = 24 m

Again

r = C/2π

r = 150.42/2 * 3.14

r = 23.95 m

D = 2(23.95)

D = 47.9 m

Then the ratio is; 47.9 m/24 m

= 2 times

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