I need to know how to simplify expressions. Specifically decimal expressions for example 18.18 + 22.74

Answer:

C.

Step-by-step explanation:

Edge2021

The graph of the answer is plotted and attached.

Inequality is the mathematical statement formed when two expressions are joined by an inequality operator.

The inequality is  –9x² + 4y² – 18x + 16y – 29 ≤ 0,

The inequality represents a hyperbolic inequality.

The graph of inequality is plotted and attached with the answer.

The shaded portion is the representation of inequality.

The shaded portion shows that the graph is a graph of a hyperbola.

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Answer:

x = 22

Step-by-step explanation:

158 + x + 148 + 32 must sum up to 360 as this is a quadrilateral.  Thus:

x + 338 = 360.

Subtracting 338 from both sides, we get x = 22

The zeroes of the quadratic function 2x² - 7x - 4 is 1 and 4,

known as roots.

A quadratic equation is an algebraic expression in the form of variables and constants.

itsA quadratic equation has two roots as it's degree is two.

We know, The general form of a quadratic equation is x² + bx + c.

Let, y = x² + bx + c.

At, (0, - 2).

- 2 = 0 + 0 + c.

c = - 2.

At, (4, 0).

0 = 4² + 4b - 2.

0 = 14 + 4b.

b = - 7/2.

So, It is x² - (7/2)x - 2 = 0.

2x² - 7x - 4 = 0.

2x² - 8x + x - 4 = 0.

2x(x - 4) - 1(x - 4) = 0.

(x - 4)(x - 1) = 0.

So, the zeroes of the function are 4 and 1.

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Answer:

6 hours.

Step-by-step explanation:

To find out her speed, divide 174 by 3.

She is driving 58mph.

Now, divide 348 by 58 to see how many hours it will take.

348/58=6.

6 hours.

To determine which waiting times are more variable, we can calculate the coefficient of variation (CV) for both sets of data. The coefficient of variation is a measure of relative variability and is calculated by dividing the standard deviation by the mean and multiplying by 100 to express it as a percentage.

For the waiting times of people admitted for additional treatment:

Mean = 67 minutes

Standard deviation = 17.3 minutes

For the waiting times of patients discharged after receiving treatment:

Mean = 95 minutes

Standard deviation = 9.8 minutes

Comparing the calculated coefficients of variation, we find that the waiting times for people admitted for additional treatment have a higher coefficient of variation (25.8%) compared to the waiting times for patients discharged after receiving treatment (10.3%).

Therefore, the waiting times for people admitted for additional treatment are more variable than the waiting times for patients discharged after receiving treatment.

The example provided, where Advanced Steel, Inc. decides to buy one of the brick plants that produce the specific brick required for its kilns, is an instance of forward integration. Correct option is D).

Forward integration is a business strategy where a company expands its operations by acquiring or owning businesses that are part of the downstream supply chain or distribution channels. It involves moving closer to the end consumers of a product or service. In this case, Advanced Steel, Inc. is involved in the production of unusually strong steel, and it requires a specific type of brick to line its kilns to achieve high temperatures safely.

By deciding to buy one of the brick plants, Advanced Steel, Inc. is integrating forward in its supply chain. It is moving closer to the source of the specific brick it needs, ensuring a consistent and reliable supply. This integration allows Advanced Steel to have more control over the production and availability of the required brick, reducing dependence on external suppliers and potential disruptions in the supply chain.

By owning the brick plant, Advanced Steel can align the production of the necessary brick with its own manufacturing processes, potentially improving efficiency, quality control, and cost management. This forward integration strategy helps Advanced Steel to secure a critical input for its production process and strengthen its overall business operations.

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Answer:

\(\displaystyle 1\frac{1}{8}\) ft³

Step-by-step explanation:

     First, the box is one foot tall. In other words, it has a height of 1 foot. Since one cube is equal to \(\frac{1}{4}\) ft, and the box is four cubes tall,

\(\frac{1}{4}\) ft + \(\frac{1}{4}\) ft + \(\frac{1}{4}\) ft + \(\frac{1}{4}\) ft = 1 foot

    Now, it has a width of  \(\frac{3}{4}\) ft because, as stated above, one cube is equal to \(\frac{1}{4}\) ft. The box has three cubes making up the width.  

\(\frac{1}{4}\) ft  + \(\frac{1}{4}\) ft  + \(\frac{1}{4}\) ft = \(\frac{3}{4}\) ft

   Next, it has a length of  \(\frac{3}{2}\) ft because, as stated twice above, one cube is equal to \(\frac{1}{4}\) ft. The box has six cubes making up the length.  

\(\frac{1}{4}\) ft  + \(\frac{1}{4}\) ft  + \(\frac{1}{4}\) ft + \(\frac{1}{4}\) ft  + \(\frac{1}{4}\) ft  + \(\frac{1}{4}\) ft = \(\frac{6}{4}\) ft = \(\frac{3}{2}\) ft

  Lastly, we will solve for the full volume of the box.

V = L * W * H

V = \(\frac{3}{2}\) ft * \(\frac{3}{4}\) ft * 1 ft

V = \(\displaystyle \frac{3*3*1}{2*4}\) ft³

V = \(\displaystyle \frac{9}{8}\) ft³

V = 1  \(\displaystyle \frac{1}{8}\) ft³

Answer:

D \(1 \frac{1}{8}\) ft³

Step-by-step explanation:

V= area of base * h

A of base= 3(1/4) × 6(1/4) = 18

↓

a of base = 0.75 x 1.5 = 1.125

=

1.125 x 4(1/4)

↓

1.125 x  1 = 1.125

1.125 = x/y ⇒ \(1 \frac{1}{8}\)

Your answer is D \(1 \frac{1}{8}\) ft³

Hope this helps! Let me know if you have any questions. Have a great day!

To calculate how long it would take to pay off 60% of the debt,

we can use the same facts as in problem #16. Let's go through the steps:

1. Determine the total amount of debt: Find the original debt amount given in problem #16.

2. Calculate 60% of the debt: Multiply the total debt by 0.6 to find the amount that represents 60% of the debt.

3. Divide the amount obtained in step 2 by the monthly payment: This will give us the number of months it will take to pay off 60% of the debt.

Now, let's apply these steps to the options provided:

a. About 45 months: To determine if this is the correct answer, we need to perform the calculations outlined above using the original debt amount and the monthly payment given in problem #16.

b. About 50 months: Same as option a, perform the calculations using the original debt amount and the monthly payment.

c. About 55 months: Perform the calculations outlined above using the original debt amount and the monthly payment.

d. About 37 months: Perform the calculations outlined above using the original debt amount and the monthly payment.

After performing the calculations for each option, compare the results with the options provided to find the correct answer.

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Therefore , the percentage of case 1 is 68% and percentage of case 2 is 47.4%

One percent (symbolized as 1%), being the hundredth component, is represented as 100 percent, while 200 percent signifies twice the amount specified. As an illustration, 1% of 1,000 chickens is equal to 1/100 of 1,000, or 10 birds, and 20% of the quantity is equal to 20% of 1,000, or 200.

Here,

Given: Total number of freshman =500

mean =75 and standard deviation =7

a) the percentage of scores that fell between 68 and 82

340 is the number of freshman whose  scores that fell between 68 and 82

thus,

percentage = 340 /500 * 100

=> percentage = 68%

b)the percentage of scores that fell between 61 and 75

237 is the number of freshman whose  scores that fell between 61 and 75

thus,

percentage = 237/500 * 100

=> percentage = 47.4%

Therefore , the percentage of case 1 is 68% and percentage of case 2 is 47.4%

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Answer:

x = 14

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

An equation of the linear function represented by the table above in slope-intercept form is y = 3x - 4.

In Mathematics, the point-slope form of any straight line can be calculated by using the following mathematical expression:

y - y₁ = m(x - x₁) or y - y₁ = (y₂ - y₁)/(x₂ - x₁)(x - x₁)

Where:

At point (-1, -7), an equation of this line in slope-intercept can be calculated by using the point-slope form:

y - y₁ = (y₂ - y₁)/(x₂ - x₁)(x - x₁)

y - (-7) = (2 - (-7))/(2 - (-1))(x - (-1))

y + 7 = 3(x + 1)

y = 3x + 3 - 7

y = 3x - 4

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Answer:

Try C :)

If it is wrong im sorry

Step-by-step explanation:

Brainlest pls?

Answer:

The expressions are not equivalent because Ella did not know that you can’t use substitution to test for equivalence.

Step-by-step explanation:

Equivalent algebraic expressions are those expressions which on simplification give the same resulting expression.

Two algebraic expressions are said to be equivalent if their values obtained by substituting any values of the variables are same.

Two expressions 3f+2.6 and 2f+2.6 are not equivalent, because when f=1,

Method of substitution can only help her to decide the expresssions are not equivalent, but if she wants to prove the expressions are equivalent, she must prove it for all values of f.

This is true only when f=0.

Hence,

The expressions are not equivalent because Ella did not know that you can’t use substitution to test for equivalence.

i hope this helps :) Brainlest please and thank you

Answer:

-1 5/28

Step-by-step explanation:

-3/7 + (-3/4)

Get a common denominator of 28

-3/7 *4/4 = -12/28

-3/4 *7/7 = -21/28

-12/28 + -21/28

-33/28

-28/28 - 5/28

-1 5/28

Answer:

He makes £470 profit

Step-by-step explanation:

He pays $160 for 60 jumpers.

He sells 80% (48) for $12 each. Income of $576

He puts the remaining (12) on sale for one full one half off.

He sells 3 for half price ($6) and 3 for full price ($12) Income of $54

$576 + $54 = $630

$630 - $160 = $470

In pounds sorry about the USD

Answer:

Yes, and if you need extra help try yay math

Step-by-step explanation:

Answer:

a=25

angle abq=139 degrees

bcr=41

Step-by-step explanation:

(2a-9)+(5a+14)=180

7a+5=180

7a=175

a=25

2(25)-9=41

180-41=139

angle abq=139 degrees

bcr=41

Answer:

the first one because when x=-1 y=-2 and that does not directly vary with x

Step-by-step explanation:

For the year in which they earned $176,500, the partners will receive $52,950, $35,300, and $88,250 respectively.

Here let the partners be A, B, and C.

According to the question, A: B: C = 3: 2: 5

This implies that if the profits are divided into

3 + 2 + 5 = 10 equal parts, 3 of those parts will go to A, 2 of those parts will go to B and 5 of those parts will go to C.

Here the profits for the year are $176,500.

Now dividing them into 10 equal parts will give us the value of each part to be

$176, 500/10 = $17,650

Hence A will receive $17,650 X 3 = $52,950

B will receive $17,650 X 2 = $35,300

C will receive $17,650 X 5 = $88,250

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Answer:

Step-by-step explanation:

\(\sqrt{40}\) = \(\sqrt{4}\) x \(\sqrt{10}\) = \(2\sqrt{10\)

\(\frac{20}{2\sqrt{10} }\) = \(\frac{10}{\sqrt{10} }\)

\(\frac{10}{\sqrt{10} } * \frac{\sqrt{10} }{\sqrt{10} } = \frac{10\sqrt{10} }{10} = \sqrt{10} }\)

\(\frac{1}{\sqrt{2} } = \frac{1}{\sqrt{2} } * \frac{\sqrt{2} }{\sqrt{2} } = \frac{\sqrt{2} }{2}\)

From the above since \(\frac{20}{\sqrt{40} }\)   is not equal to  \(\frac{1}{\sqrt{2} }\) it implies that they are not the same

When we say p < .05, it suggests that there is less than 5% chance in 100 that any differences found were not due to the hypothesized reason.

The probability value (p-value) is a statistical measure that aids researchers in determining the likelihood of obtaining a particular observation if the null hypothesis is true. A null hypothesis is a statement or assumption that an experiment's result has no relation to the parameters being tested or the population at large.

The significance level (alpha) of the statistical analysis determines whether or not to accept the null hypothesis. If the calculated p-value is less than the significance level, the null hypothesis may be rejected, indicating that there is a statistical difference between the two datasets. If the p-value is greater than the significance level, there is insufficient evidence to reject the null hypothesis.A p-value of less than 0.05 is considered statistically significant, indicating that the likelihood of getting the observed result due to chance is less than 5%.

The rejection region in a hypothesis test is set to this level, implying that if the p-value is less than 0.05, we can conclude with 95% confidence that the null hypothesis should be rejected.

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There are 64 teams in the sample space. There are 16 teams in the event W. p(W) = 0.25, is the probability that a randomly chosen team is in event W.

Since the teams are divided equally into four regions, there are 16 teams in the event W (assigned to the West region). The probability that a randomly chosen team is in event W, p(W), is the number of teams in event W divided by the total number of teams in the sample space. So, p(W) = 16/64 = 1/4 or 0.25. There are 64 teams in the sample space. There are 16 teams in the event W (since each region has 16 teams). P(W) = 16/64 = 0.25, which is the probability that a randomly chosen team is assigned to the West region.

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The expected value of the distribution is 1.98.

Given probability distribution is, \(X  0 1 2 3 4 5\)

Probability \((P(X)) 0.14 0.1 0.16 0.18 0.05 0.09 0.67(i) \\Mean (μ) \\= ∑xP(X)X P(X)0 0.14 1 0.1 2 0.16 3 0.18 4 0.05 5 0.09μ \\= ∑xP(X) \\= (0 × 0.14) + (1 × 0.1) + (2 × 0.16) + (3 × 0.18) + (4 × 0.05) + (5 × 0.09) \\= 1.98\)

Therefore, the mean is 1.98.

(ii) Variance (σ2) \(= ∑ (x - μ)2P(X)x P(X)x - μP(X)(x - μ)2P(X)0 0 - 1.98 (-1.98)2 0.03842 1 0.1 - 1.98 (-0.98)2 0.08408 2 0.16 - 1.98 (-0.98)2 0.08408 3 0.18 - 1.98 (1.02)2 0.18612 4 0.05 - 1.98 (2.98)2 0.22322 5 0.09 - 1.98 (3.98)2 0.28326 σ2 = ∑ (x - μ)2P(X) \\= 0.03842 + 0.08408 + 0.08408 + 0.18612 + 0.22322 + 0.28326 \\= 0.89918\)

Therefore, the variance is 0.89918.

(iii) Standard deviation

\((σ) = √σ2\\= √0.89918\\= 0.9482(approx)\)

Therefore, the standard deviation is 0.9482 (approx).

(iv) Expected value \(= E(X) \\= ∑xP(X)x P(X)0 0.14 1 0.1 2 0.16 3 0.18 4 0.05 5 0.09E(X) \\= ∑xP(X) \\= (0 × 0.14) + (1 × 0.1) + (2 × 0.16) + (3 × 0.18) + (4 × 0.05) + (5 × 0.09) \\= 1.98\)

Therefore, the expected value of the distribution is 1.98.

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Calculating this expression will give us the amount the farmer needs to save annually over the 8-year period.

Given:

Payment required at the end of each year: P50,000

Number of years until the daughter starts college: 8

Interest rate: 7% (compounded annually)

We can calculate the annual savings using the formula for the present value of an ordinary annuity:

P = \dfrac{PMT \times (1 - (1 + r)^{-n}{r}

Where:

P = Present value (amount to be saved annually)

PMT = Payment amount (P50,000)

r = Interest rate per period (7% or 0.07)

n = Number of periods (8)

Let's substitute the given values into the formula:

\[ P = \dfrac{50,000 \times (1 - (1 + 0.07)^{-8}{0.07} \]

Calculating this expression will give us the amount the farmer needs to save annually over the 8-year period.

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The solution of the expression ( 9y² - 4x )( 9y ² + 4x) will be 81y⁴ - 16x².

Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

Given expression ( 9y² - 4x )( 9y ² + 4x) will be solved as below:-

Use the formula:- ( a + b ) ( a - b ) = a² - b²

a = 9y²

b = 4x

( 9y² - 4x )( 9y ² + 4x ) = ( 9y² )² - ( 4x )²

Therefore, solution of the expression ( 9y² - 4x )( 9y ² + 4x) will be 81y⁴ - 16x².

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the merchant uses 48 pounds of the $3 tea and 32 pounds of the $2.75 tea in the blend.

To determine the amount of each type of tea used in the blend, we can set up a system of equations based on the given information. Let's assume x pounds of the $3 tea are used and y pounds of the $2.75 tea are used.

The first equation represents the total weight of the mixture: x + y = 80 (equation 1).

The second equation represents the average price per pound of the mixture: (3x + 2.75y) / 80 = 2.90 (equation 2).

To solve this system of equations, we can use the method of substitution or elimination.

Using substitution, we can solve equation 1 for x: x = 80 - y. Substituting this into equation 2, we have (3(80 - y) + 2.75y) / 80 = 2.90.

Simplifying the equation, we get (240 - 3y + 2.75y) / 80 = 2.90.

Combining like terms, we have (240 - 0.25y) / 80 = 2.90.

Cross-multiplying, we get 240 - 0.25y = 2.90 * 80.

Simplifying further, we have 240 - 0.25y = 232.

Subtracting 240 from both sides, we get -0.25y = -8.

Dividing both sides by -0.25, we find y = 32.

Substituting this value of y into equation 1, we have x + 32 = 80.

Solving for x, we get x = 80 - 32 = 48.

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Answer:

1,570

Step-by-step explanation:

10×2=20

20×3=60

30×5=150

40×7=280

50×4=250

60×3=180

70×8=630

Now,

20+60+150+ 280 +250+ 280+ 630=1,570

this is the answer

Answer:

\( \huge{ \boxed{ \bold{ \tt{45.31}}}}\)

❀ Explanation :

✑ Let's Know about A.M ( Arithmetic Mean )

In statistics , a single number can be calculated from a group of data which shows the character of the whole data. This number is called the average of the while data. An average is also called the arithmethic mean or simply mean which is a measure of central tendency.

☄ To calculate the average of the given type of data ( discrete series )  , follow the steps given below :

✐ Remember :

\( \underline{ \boxed{ \sf{mean \: = \frac{Σfx}{Σf} \: or \: \frac{Σfx}{n}}}} \)

Where , Σf = N = Sum of the frequency and the symbol ' Σ ' ( sigma ) means " summation of " .

( See the workings in attached picture )

Hope I helped!

♪ Have a wonderful day / night ツ

~~

Answer:

Step-by-step explanation:

56.1,12.1,23.6

No, there is no value of q that makes the net electrostatic force on each of the four particles zero.

This is because the electrostatic force is inversely proportional to the square of the distance between the charges. Therefore, even if the charges were equal, the force between the charges would not be zero due to the distance between them.

Additionally, the forces between the charges would not cancel out because they are acting in different directions. Therefore, there is no value of q that would make the net electrostatic force on each of the four particles zero.

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Answer:

A

Step-by-step explanation:

In this case, the equation that represents a nonlinear function is A.

Isolate y and see what the function is:

x(y-5)=2

y-5=2/x

y=2/x + 5 = (2+5x)/x

This is now a rational function. Unlike all the other choices, this is not linear.