Solve for h.
-110 = 13 + 3 (4h - 6)

The equation of the new function will be g(x) = x² – 6. Then the correct option is A.

It's the locus of a moving point that keeps the same distance between a stationary point and a specified line.

The equation of a quadratic function, of vertex (h, k), is given by:

y = a(x – h)² + k

where a is the leading coefficient.

The function is given below.

f(x) = x²

If you vertically shift this function down 6 units.

Then the equation of the new function will be

If the value of k is negative, then the function get shifted downwards.

Then the new function will be

g(x) = x² – 6

Then the correct option is A.

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Answer:d

Step-by-step explanation:

The answer is d. None of the above is true.

To calculate velocity, we need to use the equation:

Velocity = M * P / Y

Given:

M = 1,000

P = 2.25

Y = 2,000

Plugging in the values:

Velocity = 1,000 * 2.25 / 2,000

Simplifying:

Velocity = 2.25 / 2

The result is:

Velocity = 1.125

Therefore, the correct answer is: d. None of the above is true.

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Answer: The maximum students that would be able to attend the trip is 40 students. Because 25 multiplied by 40 is = 1,000 and the budget is only 3,000 the answer is 40 students

Step-by-step explanation: Hope this helps =)

Answer:

B. Addition Property of Equality; Division Property of Equality

Step-by-step explanation:

The answer is D, because in step c. you add  to both sides to get rid of the  on the right hand, so you use the fact that you can add the same number to both sides of an equation.

Likewise, in step f. you divided both sides by  to get rid of the  coefficient, so you use the fact that you can divide both sides of an equation by the same number.

...............................................................................................................................................

Answer:

Option C and B

Step-by-step explanation:

In the question step C is 23 + 11 = -11 +(-4x) + 11

which is in the form of a + b = c + a

In step C we have added 11 on both the sides to eliminate 11 from right side of the equation.

property which signifies this step is

Addition property of equality :

In step 'f' expression is

In this step equation has been divided by -4 on both the sides to eliminate 4 from the numerator.

In this step division property of equality has been applied.

Therefore Option C and B are the correct options.

Answer:

B. Addition Property of Equality; Division Property of Equality

Step-by-step explanation:

hope it helps...

Answer:

X = 900

Step-by-step explanation:

0.9x = 830 - 20  

0.9x = 810

x = 900

(1) The Upper Control Limit (UCL) for this 95% confidence interval is 54.22 months.

(2) The Lower Control Limit (LCL) for this 95% confidence interval is 50.78 months.

(3) Yes, it is possible that the length of life of the battery could be as long as 54 months on average. The 95% confidence interval shows that the true mean length of life of the battery is likely to be between 50.78 months and 54.22 months. The manufacturer's claim that the mean length of life of the battery is 54 months is within this range.

The Upper Control Limit (UCL) and Lower Control Limit (LCL) are calculated using the following formulas:

UCL = \(x + t * s / sqrt(n)\)

LCL = \(x - t * s / sqrt(n)\)

where:

x is the sample mean

t is the critical value for the desired confidence level and degrees of freedom

s is the sample standard deviation

n is the sample size

In this case, the critical value for a 95% confidence level and 15 degrees of freedom is 2.13. The sample mean is 52 months, the sample standard deviation is 6 months, and the sample size is 15.

Plugging these values into the formulas above, we get the following:

UCL =\(52 + 2.13 * 6 / sqrt(15) = 54.22\)

LCL =\(52 - 2.13 * 6 / sqrt(15) = 50.78\)

This means that we are 95% confident that the true mean length of life of the battery is between 50.78 months and 54.22 months. The manufacturer's claim that the mean length of life of the battery is 54 months is within this range, so it is possible that the battery could last for as long as 54 months on average.

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The correct representation of 6/1 is in figure A.

Given:

The four figures with shaded regions and unshaded regions.

To find:

The figure with the correct representation of 6/1.

Solution:

In figure A

Fraction of one box =\(\frac{1}{1}\)

There are six individual boxes that will be represented as:

\(\frac{1}{1}+\frac{1}{1}+\frac{1}{1}+\frac{1}{1}+\frac{1}{1}+\frac{1}{1}=\frac{6}{1}\)

In figure B

The number of shaded regions = 5

The total number of regions = 6

The representation will be :

\(\frac{\text{Shaded region}}{\text{Total regions}}=\frac{5}{6}\)

In figure C

Fraction of one box =\(\frac{1}{1}\)

There are five individual boxes that will be represented as:

\(\frac{1}{1}+\frac{1}{1}+\frac{1}{1}+\frac{1}{1}+\frac{1}{1}=\frac{5}{1}\)

In figure D

The number of shaded regions = 1

The total number of regions = 1

The representation will be:

\(\frac{\text{Shaded region}}{\text{Total regions}}=\frac{1}{6}\)

The correct representation of 6/1 is in figure A.

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Answer:

xm-xn+2m-2n

Step-by-step explanation:

The binary string 01001010001100 is the number  9496 in decimal format.

This is further explained below.

Generally, The decimals that have the same total number of places after the decimal point are referred to as similar decimals. Equivalent decimals are different representations of the same decimal number that have the same numerical value.

For instance, 3.42 and 6.05 are equivalent to decimals since each number has two positions for the decimal point.

As an example, 0.3 and 0.30 are both considered to be comparable decimals since they both represent the same number.

The supplied binary string has one at positions 3, 4, 8, 10, and 13. (when counted from 0 starting from the unit place).

If there are any zeros in the provided number, the results of those locations will also be zero.

In conclusion, binary string 01001010001100 will be the figure

2^3 + 2^4 + 2^8 +2^10 + 2^13= 9496

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The problem states that the function f(x) = cos(x) - 3x + 1 has a root in the interval [0, and asks to find the value of x₂ using the Newton-Raphson method with an initial guess of xo = 0.5. The solution is expected to be rounded to 8 decimal places.

To apply the Newton-Raphson method, we start with an initial guess of x₀ = 0.5. The iterative formula for Newton's method is given by the equation xₙ₊₁ = xₙ - f(xₙ) / f'(xₙ), where f(x) is the function and f'(x) is its derivative.

First, we calculate f(x₀) and f'(x₀). Plugging in x₀ = 0.5 into the function f(x), we get f(x₀) = cos(0.5) - 3(0.5) + 1 ≈ -1.52137971. Next, we find f'(x) by differentiating f(x) with respect to x, which gives f'(x) = -sin(x) - 3.

Now, we can apply the Newton-Raphson formula to find x₁:

x₁ = x₀ - f(x₀) / f'(x₀) = 0.5 - (-1.52137971) / (-sin(0.5) - 3).

Continuing this process, we iterate using the value of x₁ to find x₂:

x₂ = x₁ - f(x₁) / f'(x₁).

By performing the above calculations iteratively, rounding to 8 decimal places after each iteration, we can find the value of x₂ using the Newton-Raphson method.

Note: Since the problem does not provide the specific number of iterations required, the process can be repeated until the desired level of accuracy is achieved.

Therefore, by applying the Newton-Raphson method, we can find the value of x₂, which satisfies f(x) = 0, to the specified precision of 8 decimal places.

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This type of data is cross-sectional data.

In statistics and econometrics, cross-sectional data, or a cross-section of a study population, is a type of data gathered by monitoring numerous subjects (such as individuals, firms, countries, or regions) at one point or throughout the course of time. It's also possible that the analysis disregards variations in time. Cross-sectional data analysis often entails contrasting the variations among pre-selected respondents.

Time series data, in which the same small-scale or aggregate entity is seen multiple times in time, differs from cross-sectional data. A different kind of data called panel data (also known as longitudinal data) combines the concepts of cross-sectional and time series data and examines how the topics (firms, people, etc.) develop throughout a time series. Panel data differs from cross-sectional data that has been pooled over time.

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Answer:

There are 60 6th graders in band.

Step-by-step explanation:

Let x represent the number of 6th graders in band. If there are 25% more in 7th grade, you can write it as (5/4)x. (You could also say 1.25x, but I think fractions would be easier in this situation.) Set up an equation:

x+(5/4)x=135

Now solve for x.

(4/4)x+(5/4)x=135

(9/4)x=135

(1/4)x=15

x=60

There are 60 6th graders in band.

Hope I could help you!

Answer:

It is A

From the x-value of 3 to the x-value of 8, the y-value goes down from 3 to -6

Uh...I have no clue. Sorry. :(

The diameter of the base of the cone = 4 ft

The radius of the base of the cone, r = 4/2 = 2 ft

Slant height, l = 6ft

Where r = radius of the base, l = slant height

The limit as x tends to infinity will be infinity. Hence, we can conclude that the area of the region is infinite.

We are given the limits of integration, which is 0 and infinity. So, we can start solving this problem by using the integration method.

The integral that will give the area is given by

Area = ∫(0, ∞) y dx

We can substitute y with 32x², giving;

= ∫(0, ∞) 32x² dx

We can then integrate to get;

= [32x³/3]∞0

= 32/3 ∞³ - 32/3(0)

Here, the limit as x tends to infinity will be infinity. Hence, we can conclude that the area of the region is infinite.

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Answer:

D

Step-by-step explanation:

It's D because 60 +70 +(180-130)=180

= 60+70+50=180

Answer:

1/2 ÷1/6=1/2×6/1

=6/2=3.

the answer is 3

even though I didn't get the question I hope it helps

Answer:

4:3

Step-by-step explanation:

because 32:24 simpified is 4:3

Step-by-step explanation:

so, if car have 120km/hr it maximum speed will be 85-95km/hr so the car travel 300km in around 5 or 5 unhalf hour

answer is 3 packs of $28 packs

you can buy 41 indivigle packs

Step-by-step explanation:

The standard form of the given numbers is 207360 × 10¹⁷.

The number system is a way to represent or express numbers.

A decimal number is a very common number that we use frequently.

Since the decimal number system employs ten digits from 0 to 9, it has a base of 10.

Any of the multiple sets of symbols and the guidelines for utilizing them to represent numbers are included in the Number System.

Given the numbers is  (5 x 1,000,000) (6 x 100,000) (4 x 10,000) (8 x 1,000) (3 x 100) (2 x 10) (4 x 0.1) (9 x 0.001)

Now standard form means we need to write the exponents form.

So,

5 x 6 x 4 x 8 x 3 x 2 x 4 x 9 = 207360

And

1,000,000 x  100000 x 10000 x 1000 x 100 x 10 x 0.1 x 0.001 = 10¹⁷

So, combine 207360 x  10¹⁷

Hence "The standard form of the given numbers is 207360 × 10¹⁷".

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Answer:

5, 6 are the solutions

step-by-step explanation:

Here, the cost of attending the festival is constant, the bottles of hot sauce keeps changing until less amount of money reached.

Inequality:

5h + 16 = 50

5h = 50 - 16

5h = 34

h = 34/5

h = 6.8

So, he can buy max or less than 6 bottles of hot sauce.

Answer:

second option ∠C = 60 degrees

Step-by-step explanation:

To find the angle C

we know that the sum of all interior angles of triangle is 180

∠A + ∠B + ∠C = 180 (sum of interior angles)

90 + 30 + ∠C = 180

120 + ∠C= 180

∠C = 180 - 120

∠C = 60

Answer: B. 60

Concept:

Here, we need to know the idea of the triangle angle sum theorem.

The triangle angle sum theorem states that the sum of interior angles is 180 degrees.

Step-by-step explanation:

Given information

∠A = 90°

∠B = 30°

∠C = unknown

Given expression deducted from the triangle angle sum theorem

∠A + ∠B + ∠C = 180

Substitute values into the expression

90 + 30 + ∠C = 180

Combine like terms

120 + ∠C = 180

Subtract 120 on both sides

120 + ∠C - 120 = 180 - 120

∠C = \(\boxed{60}\)

Hope this helps!! :)

Please let me know if you have any questions

Part A: In Step 4, the missing expression should be "104 - 18.6 + 6". Part B: In Step 6, the missing expression should be "49 + 3".


In Step 3, we have the expression "-18.6 + 6", which simplifies to -12.6.

In Step 4, the expression "104 - 18.6 + 6" is obtained by replacing the simplified expression (-12.6) from Step 3 with the original expression (-18.6 + 6) and adding 104 to it.

So, the missing expression in Step 4 is "104 - 18.6 + 6".

Part B: In Step 6, the missing expression should be "49 + 3".

In Step 5, we have the expression "104 - 18.6 + 6", which simplifies to 91.4.

In Step 6, the expression "49 + 3" is obtained by replacing the simplified expression (91.4) from Step 5 with the original expression (104 - 18.6 + 6) and adding 49 to it.

So, the missing expression in Step 6 is "49 + 3".
To summarize:
In Step 4, the missing expression should be "104 - 18.6 + 6".
In Step 6, the missing expression should be "49 + 3".
The missing expressions in Step 4 and Step 6 are "104 - 18.6 + 6" and "49 + 3", respectively. In Step 4, the original expression "-18.6 + 6" is replaced by its simplified form (-12.6), and then 104 is added to it.

Therefore, the missing expression in Step 4 is "104 - 18.6 + 6". In Step 6, the simplified expression from Step 5 (91.4) is replaced with the original expression (104 - 18.6 + 6), and then 49 is added to it. Hence, the missing expression in Step 6 is "49 + 3". Following these steps, we can solve the given expression.

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In data analytics, a population refers to all possible data values in a certain dataset.

Data analytics is a set of procedures and processes for examining datasets in order to draw conclusions from the information they contain, often aided by specialized systems and software. Organizations use data analytics to aid decision-making, increase efficiency, and evaluate outcomes.

The population and sample are two concepts in statistics. The population and sample are two concepts in statistics. The population is the entire set of objects or individuals being studied, while the sample is a subset of the population that is chosen for analysis. The sample is a subset of the population, chosen at random or according to some other criteria in order to represent the population as a whole.

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Answer:

C,D,A,A

Step-by-step explanation:

Answer:

1. B

2. B

3. C

4. B

The total cost before the sales tax was 19.828 pounds.

For a party, Jordan purchased 3.8 pounds of turkey, 2.2 pounds of cheese, and 3.6 pounds of egg salad.

We have to determine the total cost before sales tax.

As per the question, we have prices as:

cost of turkey = 3.95 per pound

cost of egg cheese = 1.3 per pound

cost of egg salad = 0.89 per pound

The total cost of turkey = 3.8 × 3.95  = 15.01 pounds

The total cost of cheese = 2.2 × 1.3 = 2.86 pounds

The total cost of egg salad = 2.2 × 0.89 = 1.958 pounds

The total cost before sales tax = 15.01 + 1.958 +2.86

Apply the addition operation, and we get

The total cost before sales tax = 19.828 pounds

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The question seems to be incomplete the correct question would be:

Jordan bought 3.8 pounds of turkey, 2.2 pounds of cheese, and 3.6 pounds of egg salad for a party. If prices are 3.95 per pound turkey, 1.3 per pound cheese and 0.89 per pound egg salad What was the total cost before sales tax?