please answer quick. Select the numbers that are arranged from greatest to least.

Answer:

-2x =34

Step-by-step explanation:

-2x = 34

or , -x = 34 ÷2

or , -x = 17

x = -17

Answer:

x = -17

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Step-by-step explanation:

Step 1: Define Equation

-2x = 34

Step 2: Solve for x

Step 3: Check

Plug in x into the original equation to verify it's a solution.

Here we see that 34 does indeed equal 34.

∴ x = -17 is the solution of the equation.

Answer:

Answer:

34

Step-by-step explanation:

Hypotenuse is the longest side

I hope this helped have a great day

Your answer is -1.43

Given:

Norfolk had a population of 24, 100 in 2010.

By the year 2014, the population grew to 29,015.

We will write the exponential equation that models the population of the city.

The general form of the equation will be as follows:

Where: p is the population in terms of the number of years (n)

a is the initial population in the year 2010

n is the number of years from 2010

b is the rate of growth of the population

So, in 2010, n = 0, a = 24,100

And in 2014, n = 2014 - 2010 = 4, a = 24,100, p = 29,015

Substitute with the values of the year 2014 to find the value of (b)

Solve the equation to find (b) as follows:

Rounding the value of (b) to 4 decimal places

So, the value of b = 1.0475

The equation of the population will be as follows:

Now, we will use the equation to predict the population in 2022.

So, n = 2022 - 2010 = 12

So, substitute with n = 12 into the equation of the population:

So, the population in 2022 should be = 42,060

In what year will the population reach 76,500?

So, we will substitute with p = 76,500 and find the value of n

rounding to the nearest whole number n = 25

So, the year will be = 2010 + 25 = 2035

So, the answer will be the population reach 76,500 in 2035

Answer:

82+54=136

180-136=44

x=44

y=z=180-44=136°

Step-by-step explanation:

Answer:

x < 18 and x > −72

Step-by-step explanation:

Chay can use 3 bags of mulch per flower bed.

Chay is buying mulch for the zoo's summer flower beds. She has enough in her budget to purchase 55 bags of mulch. If there are 20 flower beds, how many bags of mulch can be used in each flower bed?The number of bags of mulch that can be used in each flower bed can be found by dividing the total number of bags of mulch by the number of flower beds, as given by the problem.Let X be the number of bags of mulch used in each flower bed. Then, the following equation can be written:Total number of bags of mulch = X × number of flower beds (20)Or, 55 = 20XDividing both sides of the equation by 20, we get: X = 55/20X = 2.75.Therefore, Chay can use 2.75 bags of mulch in each flower bed. However, since we cannot have a fraction of a bag of mulch, she would have to round up to 3 bags of mulch per flower bed to ensure each flower bed has enough mulch.

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Answer:

  8/36, 9/36

Step-by-step explanation:

Denominators 9 and 4 have no common factors, so their least common multiple is their product: 36. Using a denominator of 36, the fractions can be written ...

  \(\dfrac{2}{9}=\dfrac{2}{9}\cdot\dfrac{4}{4}=\boxed{\dfrac{8}{36}}\\\\\dfrac{1}{4}=\dfrac{1}{4}\cdot\dfrac{9}{9}=\boxed{\dfrac{9}{36}}\)

Answer:

Step-by-step explanation:

Step-by-step explanation:

4=2×2

8=2×4

12=2×6

16=2×8

20=2×10

24=2×12

Answer:

Find the definitions and points below.

Step-by-step explanation:

1. Food Handling refers to any of the stages in the preparation, storage, transportation, packaging, and delivery of food.

2. Utensils are those vessels and tools that are used to carry, cut, stir, and store items and ingredients required in food preparation.

3.  Three quality points for dairy and eggs which indicate quality and freshness are;

a. Smell: A decaying and pungent smell indicates a lack of quality.

b. Color: An abnormal color with physical signs of rottenness shows a lack of quality.

c. The sinking test is used to check for the freshness of eggs. If an egg sinks when put in a glass of water, it is a sign of freshness. If it floats, it is an indication of decay.

4. Three quality points for dry goods that indicate quality and freshness:

Moisture: The presence of moisture in dry food shows a lack of quality.

Weight: Heaviness might be an indication that one coconut is better than another.

Texture: A dry food that is sticky might indicate a lack of freshness. Smoothness, crunchiness, hardness, and toughness are other qualities to look out for.

5. Five ways I could increase the nutritional value of pastries include

1. Using fresh ingredients: Fresh ingredients free from contamination will guarantee that foods with good nutritional values are produced.

2. Preparing them in a hygienic environment: A hygienic environment will prevent food poisoning by bacteria and other contaminants.

3. Using proper measurements: When the right measurements are used in the preparation of pastries a balanced snack is produced.

4. Good preservation techniques: The right preservation techniques will prevent food spoilage.

5. Good packaging and wrapping: These will prevent exposure of the food to moisture, rodents, and other unwanted factors. Thus, the nutritional value is preserved.

Answer:

13

Step-by-step explanation:

3^2+4

13

The inverse of the function f(x) = 1/3x^2 - 3x + 5 is  f-1(x) = 9/2 + √[3(x + 7/4)], the sum of the arithmetic series is 1078 and the common ratio of the sequence is 2

The function is given as:

f(x) = 1/3x^2 - 3x + 5

Next, we rewrite the function as in vertex form

Using a graphing calculator, the vertex form of the function f(x) = 1/3x^2 - 3x + 5 is

f(x) = 1/3(x - 9/2)^2 - 7/4

Express f(x) as y

y = 1/3(x - 9/2)^2 - 7/4

Swap x and y

x = 1/3(y - 9/2)^2 - 7/4

Add 7/4 to both sides

1/3(y - 9/2)^2 = x + 7/4

Multiply through  by 3

(y - 9/2)^2 = 3(x + 7/4)

Take the square root of both sides

y - 9/2 = √[3(x + 7/4)]

Add 9/2 to both sides

y = 9/2 + √[3(x + 7/4)]

Rewrite as an inverse function

f-1(x) = 9/2 + √[3(x + 7/4)]

Here, we have:

5 + 18 + 31 + 44 + ... 161

Calculate the number of terms using:

L = a + (n -1)d

So, we have:

161 = 5 + (n - 1) * 13

This gives

(n - 1) * 13 = 156

Divide by 13

n - 1 = 12

Add 1

n = 13

The sum is then calculated as:

Sn = n/2 * [a + L]

This gives

Sn =13/2 * (5 + 161)

Evaluate

Sn = 1078

Hence, the sum of the arithmetic series is 1078

Here, we have:

T11  = 32 * T6

The nth term of a geometric sequence is

Tn = ar^(n-1)

This gives

ar^10 = 32 * ar^5

Divide by ar^5

r^5 = 32

Take the fifth root

r = 2

Hence, the common ratio of the sequence is 2

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Answer:

A'(4,-6) , B'(0,1), C'(-2,-2)

Step-by-step explanation:

From the given graph the coordinates of ΔABC area A (2,-2), B(-2,5) and C(-4,2)

If a translation is applied on ΔABC two units to the right and four units down  to create ΔA'B'C'.

Then to find the coordinates of ΔA'B'C' will be we need to apply the translation rule

\((x,y)\rightarrow(x+2,y-4)\)

Now, \(A(2,-2)\rightarrow A'(2+2,-2-4)=A'(4,-6)\)

\(B(-2,5)\rightarrow B'(-2+2,5-4)=B'(0,1)\)

and \(C(-4,2)\rightarrow C'(-4+2,2-4)=C'(-2,-2)\)

Answer:

Step-by-step explanation:

From the given information:

The present value of the house = 128000

interest rate compounded monthly r = 7.8% = 0.078

number of months in a year n= 12

duration of time t = 30 years

To find their regular monthly payment, we have:

\(PV = P \begin {bmatrix} \dfrac{1 - (1 + \dfrac{r}{n})^{-nt}}{\dfrac{r}{n}} \end {bmatrix}\)

\(128000 = P \begin {bmatrix} \dfrac{1 - (1 + \dfrac{0.078}{12})^{- 12*30}}{\dfrac{0.078}{12}} \end {bmatrix}\)

128000 = 138.914 P

P = 128000/138.914

P = $921.433

∴ Their regular monthly payment P = $921.433

To find the unpaid balance when they begin paying the $1400.

when they begin the payment ,

t = 30 year - 5years

t= 25 years

\(PV= 921.433 \begin {bmatrix} \dfrac{1 - (1 - \dfrac{0.078}{12})^{25*30}}{\dfrac{0.078}{12}} \end {bmatrix}\)

PV = $121718.2714

C) In order to estimate how many payments of $1400  it will take to pay off the loan, we have:

\(121718.2714 = \begin {bmatrix} \dfrac{1300 (1 - \dfrac{12.078}{12}))^{-nt}}{\dfrac{0.078}{12}} \end {bmatrix}\)

\(121718.2714 = 200000 \begin {bmatrix} (1 - \dfrac{12.078}{12}))^{-nt} \end {bmatrix}\)

\(\dfrac{121718.2714}{200000 } = \begin {bmatrix} (1 - \dfrac{12.078}{12}))^{-nt} \end {bmatrix}\)

\(0.60859 = \begin {bmatrix} (1 - \dfrac{12}{12.078}))^{nt} \end {bmatrix}\)

\(0.60859 = (0.006458)^{nt}\)

\(nt = \dfrac{0.60859}{0.006458}\)

nt = 94.238 payments is required to pay off the loan.

How much interest will they save by paying the loan using the number of payments from part (c)?

The total amount of interest payed on $921.433 = 921.433 × 30(12) years

= 331715.88

The total amount paid using 921.433 and 1300 = (921.433 × 60 )+( 1300 + 94.238)

= 177795.38

The amount of interest saved = 331715.88  - 177795.38

The amount of interest saved = $153920.5

Answer:

Just find the LCM of all the days.

LCM of 4,5 and 12 is 60

Therefore, u will have to do all the activities again after 60 days.

Answer:

43.6 has 3 significant figures.

Step-by-step explanation:

you mean A = area of the rectangle ?

and p = the perimeter of the rectangle ?

the area of the rectangle is

length×width = 2y × 2x = 4xy

the perimeter is

2×length + 2×width = 2×2y + 2×2x = 4x + 4y

based on the primary circle function

x² + y² = 4

we get

y² = 4 - x²

y = sqrt(4 - x²)

1)

f(x) = 4xy = 4x×sqrt(4 - x²) = g(x)×h(x)

g(x) = 4x

h(x) = h(i(x)) = sqrt(4 - x²)

i(x) = 4 - x²

the zeros of the first derivation gives us the extreme point(s).

f'(x) = g'(x)×h(x) + g(x)×h'(x)

g'(x) = 4

(h(i(x))' = h'(i(x))×i'(x)

h'(x) = 1/(2×sqrt(x))

i'(x) = -2x

so,

f'(x) = 4×sqrt(4 - x²) + 4x×-2x/(2×sqrt(4 - x²)) =

= 4×sqrt(4 - x²) - 4x²/sqrt(4 - x²)

f'(x) = 0

4×sqrt(4 - x²) - 4x²/sqrt(4 - x²) = 0, x² < 4, -2 < x < 2

sqrt(4 - x²) - x²/sqrt(4 - x²) = 0

sqrt(4 - x²) = x²/sqrt(4 - x²)

let's multiply by sqrt(4 - x²)

4 - x² = x²

4 = 2x²

x² = 2

x = sqrt(2)

therefore, the largest A (area of the rectangle) is for

x = sqrt(2), which also makes y = sqrt(2), which makes the rectangle a square.

2)

f(x) = 4x + 4×sqrt(4 - x²)

f'(x) = 4 + 4×-2x/(2×sqrt(4 - x²)) = 0, -2 < x < 2

4 - 4x/sqrt(4 - x²) = 0

1 - x/sqrt(4 - x²) = 0

1 = x/sqrt(4 - x²)

multiply by sqrt(4 - x²)

sqrt(4 - x²) = x

square both sides

4 - x² = x²

4 = 2x²

x = sqrt(2)

so, also the perimeter of the rectangle is at maximum with

x = sqrt(2) and the rectangle is again a square.

\( \sf \longrightarrow \: 5 \bigg( \: n - \frac{1}{10} \bigg) = \frac{1}{2} \\ \)

\( \sf \longrightarrow \: 5 \bigg( \: \frac{n}{1} - \frac{1}{10} \bigg) = \frac{1}{2} \\ \)

\( \sf \longrightarrow \: 5 \bigg( \: \frac{10 \times n - 1 \times 1}{1 \times 10} \bigg) = \frac{1}{2} \\ \)

\( \sf \longrightarrow \: 5 \bigg( \: \frac{10n - 1}{ 10} \bigg) = \frac{1}{2} \\ \)

\( \sf \longrightarrow \: \: \frac{50n - 5}{ 10} = \frac{1}{2} \\ \)

\( \sf \longrightarrow \: \: 2(50n - 5) =1(10) \\ \)

\( \sf \longrightarrow \: \: 2(50n - 5) =10 \\ \)

\( \sf \longrightarrow \: \: 100n - 10=10 \\ \)

\( \sf \longrightarrow \: \: 100n =10 + 10\\ \)

\( \sf \longrightarrow \: \: 100n =20\\ \)

\( \sf \longrightarrow \: \:n = \frac{2 \cancel{0}}{10 \cancel{0}} \\ \)

\( \sf \longrightarrow \: \:n = \frac{1}{5} \\ \)

Answer:-

To solve the equation \(\sf 5(n - \frac{1}{10}) = \frac{1}{2} \\\) for \(\sf n \\\), we can follow these steps:

Step 1: Distribute the 5 on the left side:

\(\sf 5n - \frac{1}{2} = \frac{1}{2} \\\)

Step 2: Add \(\sf \frac{1}{2} \\\) to both sides of the equation:

\(\sf 5n = \frac{1}{2} + \frac{1}{2} \\\)

\(\sf 5n = 1 \\\)

Step 3: Divide both sides of the equation by 5 to isolate \(\sf n \\\):

\(\sf \frac{5n}{5} = \frac{1}{5} \\\)

\(\sf n = \frac{1}{5} \\\)

Therefore, the solution to the equation \(\sf 5(n - \frac{1}{10})\ = \frac{1}{2} \\\) is \(\sf n = \frac{1}{5} \\\), which corresponds to option (d).

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Answer:

27

Step-by-step explanation:

-5a-b

-5(-6)-3

30-3

2

-5a - b

a = -6

b = 3

(-5 * -6) - 3

30 - 3 = 27

The critical F value for a sample of 6 and 4 degrees of freedom at a .10 two-tailed significance level can be found using a F-distribution table. The exact value depends on the specific table used.

For the comparison between Mark and Debbie, we would need to perform an F-test for equality of variances to determine if there is more variation in Mark's data. The null hypothesis is that the variances are equal, and the alternative hypothesis is that the variance of Mark's data is greater. The test statistic would be the ratio of the larger variance to the smaller variance, with the degrees of freedom being the smaller of the two sample sizes minus 1.

A .05 significance level means that we reject the null hypothesis if the p-value is less than .05. The p-value can be found using an F-distribution table or a statistical software.

The conclusion would depend on whether the p-value is less than .05 or not.

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We can reject the null hypothesis and conclude that there is evidence to support the alternative hypothesis that the left foot is longer than the right foot.

A statistical test is required to determine whether the length of the left foot is greater than the length of the right foot. The null hypothesis states that there is no difference in average length between the left and right feet. The alternative hypothesis is that the left foot's average length is greater than the right foot's average length.

This hypothesis is one-tailed, as we are only interested in whether the left foot is longer than the right foot. We are not considering the possibility that the right foot could be longer than the left foot.

A t-test can be used to determine whether the difference in average length between the left and right feet is statistically significant. We can reject the null hypothesis and conclude that there is evidence to support the alternative hypothesis that the left foot is longer than the right foot if the p-value of the t-test is less than the chosen significance level (e.g., 0.05).

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Answer:

x = 24°

Step-by-step explanation:

If two parallel lines are being intersected by the same line, the opposite inside angles are congruent. This means that ∠EFH should be equal to ∠JHF. However, we cannot set these angles equal because we do not know the value of ∠JHG.

Line IG is intersected by line HJ. This means the value of ∠JHG is 24° (180° - 156° = 24°). Know that we know this value, we can set up an equation to find "x".

∠EFH = 2x

∠JHG = 24°

∠GHF = x

∠EFH = ∠JHF                                  <----- Opposite interior angles are equal

∠EFH = ∠JHG + ∠GHF                   <----- Break ∠JHF into 2 angles

2x = 24 + x                                      <----- Insert values

x = 24                                             <----- Subtract x from both sides

Answer:

8) 0

9) undefined

Answer:

yes

Step-by-step explanation:

the sum of any 2 sides is greater than the

Answer:

y = 15 , x = 6

Step-by-step explanation:

you can easily find y from first equation

Move y to the other side of the equation and reverse its sign

so (-11) changes to (+11) and now we have this equation

y = 15

now you must replace 15 instead of y in second equation ,then we have this equation

15 = 2x + 3

now we have to find x

move (+3) to other side of equation and reverse its sign

(+3) changes to (-3)

we have this equation now

15 - 3 = 2x

12 = 2x

x = 12 ÷ 2 = 6

Answer:

15 ml

Step-by-step explanation:

Find the volume of the tank which is 1.8m*0.6m*0.5m=0.54m^3

For every 0.18m^3,5ml of treatment is added,what of 0.54m^3

(0.54m^3*5ml)/(0 18m^3)=15ml

if Jenny chooses to buy from Daikin, the monthly installment price would be approximately RM98.89, and the total installment price to be paid would be approximately RM1,779.98 (18 monthly installments * RM98.89).

Calculating the loan amount for each brand by subtracting the down payment from the cash price:

Loan amount for Daewoo = RM1,899 - RM300 = RM1,599

Loan amount for Daikin = RM1,699 - RM300 = RM1,399

Loan amount for Mitsubishi = RM1,999 - RM300 = RM1,699

Calculating the interest charge for each brand:

Interest charge for Daewoo = Loan amount for Daewoo * Interest rate = RM1,599 * 0.04 = RM63.96

Interest charge for Daikin = Loan amount for Daikin * Interest rate = RM1,399 * 0.04 = RM55.96

Interest charge for Mitsubishi = Loan amount for Mitsubishi * Interest rate = RM1,699 * 0.04 = RM67.96

To find the monthly installment price, divide the total amount (cash price + interest charge) by the number of monthly installments:

Monthly installment price for Daewoo = (Cash price of Daewoo + Interest charge for Daewoo) / Number of monthly installments = (RM1,899 + RM63.96) / 18 ≈ RM107.22

Monthly installment price for Daikin = (Cash price of Daikin + Interest charge for Daikin) / Number of monthly installments = (RM1,699 + RM55.96) / 18 ≈ RM98.89

Monthly installment price for Mitsubishi = (Cash price of Mitsubishi + Interest charge for Mitsubishi) / Number of monthly installments = (RM1,999 + RM67.96) / 18 ≈ RM116.72

Therefore, if Jenny chooses to buy from Daikin, the monthly installment price would be approximately RM98.89, and the total installment price to be paid would be approximately RM1,779.98 (18 monthly installments * RM98.89).

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Answer:

Attached is an example of a circle with a radius of 5 and a diameter of 10.

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Have a GREAT day!!!

Answer:

72-12k plz mark brainlest

Step-by-step explanation:

Answer:

\(\huge\boxed{\boxed{72-12k}}\)

Step-by-step explanation:

Hello.

Please remember that the Distributive property states that

a(b+c)=ab+ac

Now, simplify:

12(6-k)

distribute 12 by multiplying it times 6 and -k:

72-12k

And we're done!

I hope it helps & have an outstanding day!
~ST2710 :)