Complete the conversion using dimensional analysis.

8.9 g = _______ dg

The value of k is 3.

Quadratic functions are polynomial functions of second degree.

The general form of a quadratic function is f(x) = ax² + b x + c.

Given is a quadratic function,

y = 2x² - 8x + 7

This function is identical to some function y = a(x - h)² + k

We have to write the given quadratic function in the form y = a(x - h)² + k.

2x² - 8x + 7 = (2x² - 8x) + 7

                   = 2(x² - 4x) + 7

                   = 2(x² - 4x + 4) + 7 - 4

We have the algebraic identity, (a - b)² = a² - 2ab + b²

                   = 2 (x - 2)² + 3

a = 2, h = 2 and k = 3

Hence the value of k is equal to 3.

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Answer:

No, the diagonals of a parallelogram cannot have lengths of 4 in. and 3 in. The diagonals of a parallelogram bisect each other and have equal length. Therefore, if one diagonal has a length of 4 in., the other diagonal must also have a length of 4 in. and cannot have a length of 3 in.

Step-by-step explanation:

Yes, I know you pretty much

Answer:

gemma gets 6 and zac gets 12

Step-by-step explanation:

zac gets double the about

The probability of selecting 4 defective calculators is 0.0009.

The probability of selecting 4 defective calculators out of a group containing 47 defective and 29 non-defective calculators can be calculated using the formula for a combination. The formula is n!/r!(n-r)! where n is the total number of items and r is the number of items being selected. In this case, n is 76 (47 defective + 29 non-defective) and r is 4. Therefore, the probability of selecting 4 defective calculators is 0.0009. To round this answer to four decimal places, the answer is 0.0009.

To calculate this answer, the first step is to calculate the total number of combinations that can be made using 4 items out of 76 items. This is calculated using the formula n!/r!(n-r)!. The numerator, n!, is equal to 76! which is equal to 5.43e+102. The denominator, r!(n-r)!, is equal to 4!(76-4)! which is equal to 5.90e+09. By dividing the numerator by the denominator, the probability of selecting 4 defective calculators is 0.0009. To round this answer to four decimal places, the answer is 0.0009.

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Answer:

hi !!

Step-by-step explanation:

you have to do an Euclidean division :

4689/15 = 312

the quotient is 312 so there will be 312 jelly beans per bags . The rest is 9 so there are 9 jelly beans left

The total distance that Ross hiked is 4000 feet.

From the question, we have the following parameters that can be used in our computation:

This means that the total distance travelled is

Total distance = 2 * Initial distance hiked

Substitute the known values in the above equation, so, we have the following representation

Total distance = 2 * 2000

Evaluate

Total distance = 4000

Hence, the total distance hiked is 4000 feet

See attachment for the graph

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Jennifer has 48 nickels, which means she has 144 quarters.

Let's call the number of nickels Jennifer has "n".

Since Jennifer has three more dimes than nickels, she has n + 3 dimes.

And since she has three times as many quarters as nickels, she has 3n quarters.

We can start by figuring out the total value of the nickels and dimes in terms of cents:

n * 5 cents + (n + 3) * 10 cents = 750 cents

Expanding the right side of the equation and solving for n:

5n + 10n + 30 cents = 750 cents

15n + 30 cents = 750 cents

15n = 720 cents

n = 48

So Jennifer has 48 nickels, which means she has 3 * 48 = 144 quarters.

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Answer:

Step-by-step explanation:

112+120+133+128+100+x=720

593+x=720

x=720-593

x=127

Answer:

18.75

Step-by-step explanation:

Resultant speed of the motorboat is 9.4 m/s.

Pythagorean theorem states that the squared value of longest side in an right angle triangle will be equal to the addition of the squared value of two smaller sides. Thus, the resultant speed of the boat is 9.4 m/s

This is the concept of application of the pythagorean theorem.

The boat is traveling in the east direction at a speed of 8 m/s but the river has a northward current of 5 m/s. We know than both the directions (East and North) are perpendicular to each other. The bend tending toward east but the river slows down the speed and makes the boat tending toward north-east.

Thus, by applying Pythagorean theorem, the resultant speed can be calculated as:

c² = a² + b²

c² = 8² + 5²

c² = 64 + 25

c² = 89

c = [tex]\sqrt{89}[/tex]

c = 9.4 m/s

Hence, the resultant speed of boat is 9.4 m/s.

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Answer:

9.4

Step-by-step explanation:

just took the quiz

The measure of angle Y is given as follows

m < XYZ = 72.9º.

The three trigonometric ratios are defined as follows:

For angle Y, we have that:

Applying the tangent function, the measure is obtained as follows:

tan(Y) = 13/4

Y = arctan(13/4)

Y = 72.9º.

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Answer:

10x+30x

Step-by-step Explanation:

Answer:

strong:0.93

moderate:0.52

weak:-0.01

Step-by-step explanation:

The following inequalities are correct ,

1. −3 ≤ −1

2. −3<−1

So, Option A & B is correct

Inequalities are the comparison of mathematical expressions, whether one quantity is greater or smaller in comparison to another quantity.

We use these symbols to represent inequalities, '>' , '<', '≥', '≤'

Given that,

The inequalities,

Statement 1:   negative 3 less than or equal to negative 1

−3 ≤ −1

It is correct

Statement 2:  negative 3 less than or equal to negative 1

−3 < −1

It is also correct

Statement 3: negative 3 equals negative 1

−3 = −1

It is Incorrect because -3 is less than -1

Statement 4:  negative 3 greater than or equal to negative

−3 ≥ −1

It is also Incorrect because  -3 is less than -1

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Answer: He has 290 dollars.

Step-by-step explanation:

3 x 20 is 60

300-60 is 240

240 + 50 is 290.

The overall change is 110 dollars.

To find the value of q, we can use the point-slope form of a line:

y - y1 = m(x - x1)

where m is the slope of the line, (x1, y1) is a point on the line, and (x, y) is a second point on the line.

In this case, we have the slope of the line as -9 and the point ( -9, 1), so we can plug in the values:

y - 1 = -9 (x - (-9))

Expanding and solving for y, we get:

y = -9x + 90

Next, we want to find the value of y when x = -10. Substituting this value into the equation:

q = -9(-10) + 90

Solving for q:

q = -90 + 90 = 0

So, the value of q is 0.

A. The y-intercept is at the point (0, 0).

B.  The zeros are x = 0 or x = ±√5

C.

A) The y-intercept of this graph is the point where x = 0.

When  x = 0, the value of y

= 0^4 - 5*0^2

= 0.

Therefore, the y-intercept is at the point (0, 0).

B) The x-intercepts/roots of the function are the values of x that make y = 0.

To find these values, we need to set y = 0 and solve for x:

x⁴ - 5x² = 0

x⁴ = 5x²

x² = x⁴/5

x = ±√(x⁴/5)

We can simplify this expression by factoring x² out of both sides:

x²(x² - 5) = 0

x² = 0 or x² - 5 = 0

x = 0 or x = ±√5

hence the x-intercepts are at x = 0 and x = ±√5.

C) The end behavior of this function refers to how the graph of the function approaches the x-axis as x approaches positive infinity and negative infinity.

x → ∞ f(x) → ∞

x → -∞ f(x) → -∞

D) The graph is attached

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The gross pay for the given service is $1307.6.

Gross pay is what employees earn before taxes, benefits and other payroll deductions are withheld from their wages.

Given that, the regular salary of some service is $1100, we need to calculate the gross payment with over time rate, which is $10.38 per hour (20 hours overtime to be paid)

Therefore,

To find, gross payment, we will multiply by 10.38 by 20, and add to regular salary,

Gross payment = 10.38 × 20 = 207.6 + 1100

= 1307.6

Hence, the gross pay is $1307.6

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The two samples must be independent, which means that the results of one sample should not influence the results of the other.

To lead a hypothesis test for the contrast between two examples implies, certain prerequisites should be met. The examples, right off the bat, should be free, implying that the two examples ought to be arbitrarily chosen and the people in a single example ought not to be available in another example.

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Answer:

-50 (Hopefully I gave the right answer. If I didn't, I'm sorry)

step-by-step explanation:

ABD= 2x-3 and DBE= 3x+8

2x-3=3x+8

Add 3 to both sides.

2x=3x+11

Now subtract 3x from both sides

-1x=11

Now divide both sides by -1

x=-11

Plug -11 in for x

2(-11)-3 and 3(-11)+8

-22-3 and -33+8

-25 and -25

-25+-25=-50

The solution is, the area after 6 years is 3198.

A percentage is a number or ratio that can be expressed as a fraction of 100. A percentage is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, "%", although the abbreviations "pct.", "pct" and sometimes "pc" are also used. A percentage is a dimensionless number; it has no unit of measurement.

here, we have,

Rate of reduction = 100 - 3.25 = 96.75%

After 6 years, the reduction in trees =0 .9675^6

                                                            =0.820

Area after 6 years = 3900 x  0.820

                              = 3198

Hence, The solution is, the area after 6 years is 3198.

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The order of given numbers is 4.42<4.427<4.625<4.64.

Comparing decimals involves starting with the digits having the highest place value, just like when comparing other whole numbers. We begin the comparison by putting the provided decimal numbers in a place value table. We move on to the digits in the next place to the right if the digits on the biggest place value match. Up till the digits that are different are reached, we continue comparing digits.

The given numbers are [tex]4\frac{7}{11}[/tex] =4.64, 37/8 =4.625, 4.427, 4.42

From least to greatest is

4.42<4.427<4.625<4.64

Therefore, the order of numbers is 4.42<4.427<4.625<4.64.

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The equation to model the price based on the size of the pack can be written as p = 0.25t, where p is the price and t is the size of the pack.

An equation is the statement of two expressions located on two sides connected with an equal to sign. The two sides of an equation is usually called as left hand side and right hand side.

Given that the cost of cherry tomatoes as,

Cost of 12 pack = $3

Cost of 16 pack = $4

Cost of 24 pack = $6

......

Cost of 1 pack = 3/12 = 4/16 = 6/24 = $0.25

Let t be the size of the pack and p be the price.

p = 0.25t

Hence the equation representing the price is p = 0.25t.

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Answer:

Step-by-step explanation:

no it isnt

Answer:

No, this sample is not likely to be representative of the population. The sample only includes people who attended a country music concert, which means it does not include people who prefer other genres of music. Therefore, the survey results would likely be biased towards country music, and not necessarily reflective of the general population's music preferences.

Answer:

115 apples were picked last year

Step-by-step explanation

It says there are 50% more apples picked this year than last year. So, we divide 230 by 2 because 50% is half of 100%. 230÷2 = 115

115 apples

Step-by-step explanation:

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Justin used average two rolls of ribbon in total, using 1/5 of one and 2/5 of another.

Justin had 3 rolls of ribbon before he started tying parcels and presents. He used 1/5 of a roll of ribbon to tie a parcel, and then used 2/5 of another roll of ribbon to tie a present. This means that he used two rolls of ribbon in total, with 1/5 of one and 2/5 of the other. He still has one roll of ribbon remaining, meaning that he didn't use all three rolls of ribbon. To calculate the total amount used, you would need to multiply 1/5 and 2/5 by the length of the ribbon, or alternatively multiply the two fractions together to get 2/5 of a roll of ribbon used. This means that he used two rolls of ribbon in total, with 1/5 of one and 2/5 of the other.

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The distance between the two curves, with respect to the curves changing can be calculated as follows:

3-(3-2sin(2θ))

[tex] \frac{dx}{dθ} 2 \sin(20) [/tex]

2cos(20)

4cos(20)

[tex]4 \cos(2 \frac{\pi}{3} ) = - 2[/tex]

The Fréchet distance is a mathematical metric for comparing the similarity of curves that takes into account the position and arrangement of curve points. Maurice Fréchet is honored by having his name used. The pairs of points that make up the Fréchet distance sweep continuously along their respective curves, so the Fréchet metric takes the flow of the two curves into account. As a result, the Hausdorff distance and other similarity measures for arbitrary point sets are inferior to the Fréchet distance for curves. Two curves might have a small Hausdorff distance but a large Fréchet distance.

Note that the full question is:

The distance between the two curves changes for 0<θ<π/2. Find the rate at which the distance between the two curves is changing with respect to θ when θ = π/3.

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