Σ not 0.8). . 1 Let us consider the series (n +29)(n+31) Note: Write the exact answer not the decimal approximation (for example write Answer: (1) Let {n} be the sequence of partial sums. Then 62 2n+62 ( n m2 +62n +930 Osn 1 2 930 Osn= 61 930 2n+61 n2 +61n+930 2 Osn 1/2 61 2n +62 930 n2 +61n +930 62 2n +62 930 m2 +62n +930 Osn (ii) If s is the sum of the series then S = 40

Answer:

x=−1

Step-by-step explanation:

I hope this help helps

Answer:

8-8(1+3x)=23-x

8-8-24x=23-x

-24x=23-x

-23=-x+24

-23=23x. (÷b.s by 23)

x= -1

The inverse of the given function is represented by Data Table B.

A function is a law that relates a dependent and an independent variable.

The Inverse of the function is determined by interchanging the values of a and y in an f(x,y) function and then express the equation of y in terms of x.

Th table of the function is

Miles to go             Miles Travelled

0                                       0

100                                  310

200                                  450

340                                   550

650                                   650

The inverse of this data table will be

 Miles Travelled             Miles to go

650                                        650

340                                        550  

200                                       450

100                                        310

0                                             0

This is represented by Data Table B.

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Answer:

she is saving in an exponential way, that is an amazing habit that will multiply her savings over time. At the end of the second week of July she will have 126 if she kept multiplying the amount every week from June into July but she will  have 38 if she starts over with saving 2 on the 1st week of the second month. I save money often, my way of saving is only spending the money i have on things I need rather than want. I also save in a linear way buy saving five dollars every month which is slower than aishas way in the long run but it is easy for me. There are so many different ways of saving money but some are slower than others and some are faster.

Step-by-step explanation:

Hope this helps, please give brainliest, i never got it before

Therefore, the total distance Gabe will paddle is 2x + 400 meters. The exact value of x depends on the width of the river, which is not provided in the given information.

To find the total distance Gabe will paddle, we need to consider the distance he will travel from Q to P, then from P to R, and finally from R back to Q.

First, let's consider the distance from Q to P. Since Gabe will paddle in a diagonal line across the river, this distance can be calculated using the Pythagorean theorem.

The length of the bridge (PR) is given as 400 meters, which is the hypotenuse of a right triangle. The width of the river can be considered as the perpendicular side, and the distance Gabe will paddle from Q to P is the other side. Let's call this distance x.

Using the Pythagorean theorem, we have:

x^2 + (width of the river)^2 = PR^2

Since the width of the river is not given, we'll represent it as w. Therefore:

x^2 + w^2 = 400^2

Next, let's consider the distance from P to R. Gabe will paddle along a route beside the bridge, which means he will travel the length of the bridge (PR) again. So, the distance from P to R is also 400 meters.

Finally, Gabe will paddle back from R to Q along the shore. Since he will follow the shoreline, the distance he will paddle is equal to the distance from Q to P, which is x.

To find the total distance, we add up the distances:

Total distance = QP + PR + RQ

= x + 400 + x

= 2x + 400

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The correct option that represents the electric field is:

Option D: E = 4πε₀Q(x² + y² + z²)^(3/2)x^ + y^ + z^

The electric field is given by the formula:

E = -∇V

where:

∇ is the del operator, which in Cartesian coordinates is represented as:

∇ = (∂/∂x)x^ + (∂/∂y)y^ + (∂/∂z)z^

Taking the negative gradient of V gives us:

E = -∇V = -[(∂V/∂x)x^ + (∂V/∂y)y^ + (∂V/∂z)z^]

First, let's calculate the partial derivatives of V with respect to x, y, and z:

(∂V/∂x) = (∂/∂x)[4πε₀(Q/√(x² + y² + z²))]

= -4πε₀(Qx/√(x² + y² + z²)³)

(∂V/∂y) = (∂/∂y) [4πε₀(Q/√(x² + y² + z²))]

= -4πε₀(Qy/√(x² + y² + z²)³)

(∂V/∂z) = (∂/∂z) [4πε₀(Q/√(x² + y² + z²))]

= -4πε₀(Qz/√(x² + y² + z²)³)

Now, substituting these derivatives into the expression for E:

E = -[(-4πε₀(Qx/√(x² + y² + z²)³))x^ + (-4πε₀(Qy/√(x² + y² + z²)³))y^ + (-4πε₀(Qz/√(x² + y² + z²)³))z^]

Simplifying, we have:

E = 4πε₀Q(x/√(x² + y² + z²)³)x^ + 4πε₀Q(y/√(x² + y² + z²)³)y^ + 4πε₀Q(z/√(x² + y² + z²)³) z^

Therefore, the correct option is:

(d) E = 4πε₀Q(x² + y² + z²)^(3/2)x^ + y^ + z^

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Answer:

  A.  60 ft·lb

Step-by-step explanation:

You want the work done lifting a 15-lb flower pot to a height of 4 ft.

Work is the product of force and distance. When the pot is raised 4 ft, the work done is ...

  W = F·d

  W = (15 lb)(4 ft) = 60 ft·lb

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Answer: need to clam and not worry to much and study a lot to be come great and great at math

Step-by-step explanation: i try and i give it all i can and not give up

Answer:

130 is the answer

Answer:

b.angle 5 and angle 4

Step-by-step explanation:

b.angle 5 and angle 4

Answer:

Step-by-step explanation:

Answer:

0.9333=9333 / 10000

Step-by-step explanation:

Rewrite the decimal number as a fraction with 1 in the denominator

0.9333=0.9333 / 1

Multiply to remove 4 decimal places. Here, you multiply top and bottom by 104 = 10000

0.9333 / 1   ×   10000 / 10000  =  9333 / 10000

In conclusion,

0.9333  =  9333 / 10000

x= 6 is the answer

Step-by-step explanation:

hope it helps

Answer:

 -x • (x2 - 5x + 1) • (3x - 4)

Step-by-step explanation:

STEP

1: Equation at the end of step 1

 (((x2) -  5x) +  1) • (4x -  3x2)

STEP2:STEP

2:Pulling out like terms

 Pull out like factors :

4x - 3x2  =   -x • (3x - 4)

Trying to factor by splitting the middle term

 Factoring  x2 - 5x + 1

The first term is,  x2  its coefficient is  1 .

The middle term is,  -5x  its coefficient is  -5 .

The last term, "the constant", is  +1

Step-1 : Multiply the coefficient of the first term by the constant   1 • 1 = 1

Step-2 : Find two factors of  1  whose sum equals the coefficient of the middle term, which is   -5 .

     -1    +    -1    =    -2

     1    +    1    =    2

Observation : No two such factors can be found !!

Answer:

x = 24.571

Step-by-step explanation:

A circles angle is 360 degrees, so you can work out x by equalling everything to 360

360 = 5x + 12 + 9x + 4

360 = 14x + 16

360 - 16 = 344

344 = 14x

344 ÷ 14 = 24.571

x = 24.571

So the smaller angle is 225°

And the bigger angle is 135°

(I'm guessing shape isn't to scale)

Using the Z-table, you can find the z-score that corresponds to a cumulative probability of 0.70, which is approximately 0.52. So, the z-score for the 7th decile on the standard normal curve is 0.52.

To find the z-score that corresponds to the 7th decile of the standard normal curve, we first need to determine the cumulative probability up to that point.

The 7th decile represents the point where 70% of the data lies below it and 30% lies above it. Using a standard normal distribution table or calculator, we can find the z-score that corresponds to a cumulative probability of 0.70.

The z-score that corresponds to a cumulative probability of 0.70 is approximately 0.524. Therefore, the z-score that corresponds to the 7th decile of the standard normal curve is 0.524.

To find the z-score corresponding to the 7th decile on the standard normal curve, you'll need to use the cumulative probability distribution function (also known as the Z-table or standard normal table). The 7th decile represents the point where 70% of the data is below it, so you'll be looking for a cumulative probability of 0.70.

Using the Z-table, you can find the z-score that corresponds to a cumulative probability of 0.70, which is approximately 0.52. So, the z-score for the 7th decile on the standard normal curve is 0.52.

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Answer:

Shift right by 4

Step-by-step explanation:

Given f(x)=x^2

g(x)= x^2-8x+16

Using

Horizontal Shift theorem dealing with the question

If the graph were to be move to to the right, we must use of graph f (x-L)

Where L= 4 and

NOTE:

POSITIVE L MAKES GRAPH SHIFT RIGHT

2) NEGATIVE MAKES GRAPH SHIFT LEFT

g(x)= x^2-8x+16

If we factorize this we have

(x-4)(x-4)

Since the two terms are the same we have (x-4)^2

Then it can move by factor of 4 to the right since constant 4 can be substracted from the parents function

Answer:

Left by 4

Step-by-step explanation:

graph x^2 and x^2 − 8x + 16 on Desmos . com

you start at f(x) and end at g(x)

Answer:

C is Cassandra's age, it is being multiplied by 2(Doubling). G is replaced by 9 and you will find the mother's age

Step-by-step explanation:

Answer:

D 18%

Step-by-step explanation:

18/100 = 18%so D is the answer

The required value of x for the given proportion is 45.31

What is proportion?

Proportion is a mathematical relationship or ratio between two or more values. It is used to compare the size, quantity, or degree of two or more objects or measurements. Proportion can be expressed as a fraction, decimal, or percentage. It is often used in geometry, algebra, and calculus to determine the size of a shape or to solve an equation. Proportion is also used in statistics to compare data sets. In everyday life, proportion is used to make sure that items are in good balance with each other. For instance, proportions are used when baking a cake or making a recipe to ensure that the ingredients are properly combined.

Given, the proportion

x : 15 = 29 : 9.6

or, x = \(\frac{29}{9.6}\) × 15

or, x = 45.31

Hence, the required value of x for the given proportion is 45.31

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Answer:

1

Step-by-step explanation:

m=(y-y1)/(x-x1)

Points are (5,2) and (4,1)

m= (2-1)/(5-4)= 1/1= 1

m=1 to replace ? mark

Answer:

Original volume = (4/3)π(6^3) = 288π

New volume = (4/3)π(18^3) = 7,776π

7,776π ÷ 28π = 27

When the radius of a sphere is tripled, the volume of the new sphere is 27 times the volume of the old sphere.

Answer:

;)))

Step-by-step explanation:

Answer:

12.5

Step-by-step explanation:

Answer:

All I know is the axis is horizontal lol

Step-by-step explanation:

Step-by-step explanation:

Since it's a right triangle, you can use Pythagoras

a^2 + b^2 = c^2

We have b and c, we just need a, so let's plug it in

\( {x}^{2} + {24}^{2} = {25}^{2} \)

\( {x}^{2} + 576 = 625\)

\( {x}^{2} = 49\)

\(x = 7\)

Answer: 7ft

Step-by-step explanation:

hypotenuse (h) = 25

perpendicular (p) = 24

base (b) = ?

We know by using Pythagoras theorem

b = √h² - p²

= √ 25² - 24²

= √ 49

= 7 ft

Assets of respondents in a survey is a quantitative data and the level of measurement is a ratio scale.

Qualitative properties are properties that are observed and can generally not be measured with a numerical result.

Examples of quantitative data include, number of students in a class, weight of students in a class, etc.

Quantitative data is the value of data in the form of counts or numbers where each data set has a unique numerical value. This data is any quantifiable information that researchers can use for mathematical calculations and statistical analysis to make real-life decisions based on these mathematical derivations.

Examples of qualitative data include hair color, religion, nationality, etc.

Thus, assets of respondents in a survey is a quantitative data and the level of measurement is a ratio scale.

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The correct answer is:

(a) No, because the column space of a 4 x 7 matrix is a subspace of R^4. There is a pivot in each row, so the column space is 4-dimensional. Since any 4-dimensional subspace of R^4 is R^4, Col A = R^4.

Explanation:

The column space of a matrix represents all possible linear combinations of its column vectors. In this case, since there are four pivot columns in the matrix A, it means that there are four linearly independent columns.

Therefore, the column space of A, Col A, is a subspace of R^4, and specifically, it is 4-dimensional. Thus, the correct answer is option B: Yes, because the column space of a 4 x 7 matrix is a subspace of R^4. There is a pivot in each row, so the column space is 4-dimensional. Since any 4-dimensional subspace of R^4 is R^4, Col A = R^4.

For the question about Nul A (null space), the information is not provided in the question, so we cannot determine its dimension or relationship to R^3.

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A researcher obtains z = -6.45. The decision for a one-tailed test, upper-tail critical, at a .05 level of significance to retain the null hypothesis, option B.

Now, determining the critical value for the one-tailed test, upper-tail critical, at a .05 level of significance. Using a z-table, we find that the critical value for a one-tailed test at the .05 level of significance is 1.645.
Then, compare the obtained z-value to the critical value. In this case, the obtained z-value is -6.45, and the critical value is 1.645.
Further, making a decision based on the comparison. Since the obtained z-value (-6.45) is less than the critical value (1.645), we fail to reject the null hypothesis.
Therefore, the correct option is B) to retain the null hypothesis.

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SOLUTION:

Step 1:

In this question, we are given the following:

Brian has reduced his cholesterol level by 6% by following a strict diet and regular exercise.

This means that the remaining level will be ( 100 - 6 ) % = 94%

Step 2:

If his original level was 280,

Then, the approximate cholesterol level now will be:

CONCLUSION:

The final answer is:

A p-value is a probability.

A p-value is the probability of obtaining a test statistic as extreme or more extreme.

The observed value, assuming the null hypothesis is true.

It ranges in value from 0 to 1 and represents the strength of evidence against the null hypothesis.

A p-value cannot be negative, as it is a probability and probabilities are always between 0 and 1.

A p-value also cannot be larger than 1, as it represents a probability.

A probability cannot exceed 1.

Finally, a p-value cannot be smaller than 0, as it represents a probability.

A probability cannot be negative.

the correct option is b. is a probability.

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To calculate your fuel consumption in gallons per hour, divide the speed (in miles per hour) by the fuel efficiency (in miles per gallon). This will give you the gallons per hour (GPH).

For example, if your speed is 50 mph and your fuel efficiency is 30 mpg, your fuel consumption would be 1.67 GPH (50/30). You can then use this result to estimate your fuel costs and overall fuel consumption over a certain period of time.

To understand this concept better, it is important to know that speed (in mph) and fuel efficiency (in mpg) are inversely related. This means that as your speed increases, your fuel efficiency decreases, and as your speed decreases, your fuel efficiency increases.

So, if you want to maximize your fuel efficiency, you need to drive at the lowest possible speed. Additionally, the higher the fuel efficiency, the lower the fuel consumption in GPH.

In short, you can use the readout from your odometer and fuel efficiency meter to calculate your fuel consumption in GPH by dividing the speed (in mph) by the fuel efficiency (in mpg). This result can help you estimate your fuel costs and overall fuel consumption.

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