5. Given the points A(-3, -4) and B(2, 0), find the coordinates of the point P on
directed line segment AB that partitions AB in the ratio 1 to 4.

Answer:

this is your test right pls study and answer

Answer: no sorry it looks fine to me

Answer:

Volume of slice is  40 in³

Volume of the remaining cake is 197.014 in³

Step-by-step explanation:

hope this helps!!

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Answer:

7 1/2 pounds

Step-by-step explanation:

When three electrons are removed from this configuration, they are removed from the 4s² and 3d³ orbitals. As a result, the effective nuclear charge experienced by the remaining 3d electrons increases even more, and the electrons are pulled even closer to the nucleus, resulting in an even smaller ionic radius. Therefore, V³⁺ has an ionic radius of 73 pm.

The successive ionization energies (IE) provide information about the electronic configuration of an element. This configuration is less stable than the noble gas configuration, and the ion has a smaller ionic radius as a result.

The first two ionization energies (IE₁ and IE₂) correspond to the removal of one or two electrons from the outermost energy level (valence shell). The third ionization energy (IE₃) corresponds to the removal of an electron from the next energy level (the one below the valence shell).

Using the given ionization energies, we can determine the full electron configuration of the Period 2 element as follows:

IE₁: 801 kJ/mol (removal of one electron from valence shell)

1s² 2s² 2p⁶ → 1s² 2s² 2p⁵ + e⁻

IE₂: 2427 kJ/mol (removal of second electron from valence shell)

1s² 2s² 2p⁵ → 1s² 2s² 2p⁴ + e⁻

IE₃: 3659 kJ/mol (removal of electron from the next energy level)

1s² 2s² 2p⁴ → 1s² 2s² 2p³ + e⁻

IE₄: 25,022 kJ/mol (removal of electron from the next energy level)

1s² 2s² 2p³ → 1s² 2s² 2p² + e⁻

IES: 32,888 kJ/mol (removal of electron from the next energy level)

1s² 2s² 2p² → 1s² 2s² 2p¹ + e⁻

The full electron configuration of the Period 2 element is therefore: 1s² 2s² 2p¹.

The ionic radius of an ion depends on its electronic configuration and the number of electrons it has. In the case of V²⁺, the ion has lost two electrons, which means that its electronic configuration is now 1s² 2s² 2p⁶. This is a noble gas configuration, and the ion has a stable electronic structure, which causes the ionic radius to be relatively large.

In contrast, V³⁺ has lost three electrons, which means that its electronic configuration is now 1s² 2s² 2p⁵. This configuration is less stable than the noble gas configuration, and the ion has a smaller ionic radius as a result.

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Answer:

The answer is B: A captured boy learned there was a mine that contained a vein of pure gold.

Step-by-step explanation:

Took the test.

Answer:

The answer is B

Step-by-step explanation:

A captured boy learned there was a mine that contained a vein of pure gold.

The simplified ratio of men to women is 142:89. There were 568 men and 356 women,

To find the ratio of men to women, we need to divide the number of men by the number of women.

Given that there were 568 men and 356 women, the ratio of men to women can be calculated as:

Ratio = Number of Men / Number of Women

Ratio = 568 / 356

To simplify the ratio, we can divide both the numerator and denominator by their greatest common divisor (GCD). In this case, the GCD of 568 and 356 is 4.

Ratio = (568 / 4) / (356 / 4)

Ratio = 142 / 89

Therefore, the simplified ratio of men to women is 142:89.

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Answer:

solve or simplify? if solve, what is x

Step-by-step explanation:

We will investigate how to use ratios to determine the actual distance between cities as per defined scale.

We are given a scale conversion ( ratio ) at which distances are scaled down:

We will use the given scale ratio to determine the actual distance between two citites. The scale distance between Hawthorne and Doyelstown can be read.

Now utilize the scale conversion ratio to determine the actual distance:

Therefore, the distance between Hawthorne and Doylestown is:

Answer:its upside down sir

Step-by-step explanation:

600 élèves :

On sait que 7/30+1/6 ne font pas partie des 400 élèves qui possèdent téléphone portable et ordinateur . 7/30+1/6=12/30=2/5 mais parmi ces élèves figurent ceux qui n'ont ni l'un, ni l'autre. Ils font donc partie des 2/5 qui viennent d'être dénombrés

Il faut donc les retrancher, sinon ils seraient comptés deux fois

donc le nombre n'ayant ni l'un ni l'autre est : 2/5-1/15=5/15=1/3

Par conséquent 2/3 ont unt téléphone et un ordinateur

Comme ces 2/3 correspondent à 400 élèves, le nombre total d'élèves interrogés sera donc de 400*3/2=600 élèves.

Answer:

a=108

b=90

c=120

d=42

e=135

f=15

g=60

h=45

i=75

j=60

Step-by-step explanation:

Answer:

Step-by-step explanation:

equation of finding a midpoint is (x2+x1)/2 and (y1+y2)/2

7) (4+12)/2 = 8 and (9+-4)/2= 2.5

hence midpoint is (8,2.5)

8) we are told the midpoint so we can now find the co-ordinates of the other endpoint:

(5+x)/2= -3

rearrange to find x--> 5+x =-6, so x=-11

(-7+y)/2=2

rearrange to find y--> -7+y=4, so y=11

other endpoint: (-11,11)

5) the gradient of the new equation is parallel to y=3x+7 so it will stay the same

y=3x+c

we know that the points this line passes through is: (-4,-8) so we substitute this into our new equation to find c

-8= (3 x -4) +c

-8=-12 +c

so c= 4

Hence our new equation is y=3x+4

6) perpendicular gradient means that our existing gradient needs to be reciprocated (turned into negative and then flipped)

new gradient is -1/3

y=-1/3x+c

we know the value for x and y so we can substitute into our new equation to find c

9=(-1/3 x -6) +c

9=2 + c

c= 7

Hence our new equation is y=-1/3x+7

Hope this helps!

Thomas can pack the items into a maximum of 20 bags, with each bag containing 24 items after calculated with greatest common divisor.

To find the maximum number of bags Thomas can pack, we need to find the greatest common divisor (GCD) of 120, 168, and 192. The GCD will represent the maximum number of items that can be packed into each bag.

To find the GCD, we can use the Euclidean algorithm. First, we find the GCD of 120 and 168:

168 = 1 * 120 + 48

120 = 2 * 48 + 24

48 = 2 * 24 + 0

Therefore, the GCD of 120 and 168 is 24.

Next, we find the GCD of 24 and 192:192 = 8 * 24 + 0

Therefore, the GCD of 120, 168, and 192 is 24.

So, Thomas can pack 24 items into each bag. To find the maximum number of bags he can get, we divide the total number of items by 24:

Total number of items = 120 + 168 + 192 = 480

Number of bags = 480 / 24 = 20

Therefore, Thomas can get a maximum of 20 bags.

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Answer:

-88

Step-by-step explanation:

8 x -11 = 88

Answer:

X = Y(W + Z)

Step-by-step explanation:

X/Y - Z = W

X/Y = W + Z

X = Y(W + Z)

By calculating the present value of the investment and determining the rate of return, we can assess the financial attractiveness and potential profitability of the investment opportunity.

(a) To calculate the present value of the investment, we need to discount the future cash flow of $5,000 back to the present using the appropriate discount rate of 8 percent. The formula for present value is given by PV = CF / (1 + r)^n, where PV is the present value, CF is the future cash flow, r is the discount rate, and n is the number of periods. By substituting the given values into the formula, we can calculate the present value.

(b) In this part, we are provided with the information that the investment is selling for $1,061 and will yield $5,000 in 33 years. We need to determine the rate of return investors earn on this investment. The rate of return, also known as the yield or internal rate of return (IRR), is the rate at which the investment grows over time. By using the formula for rate of return and rearranging it to solve for r, we can determine the rate of return when the investment is purchased for $1,061 and yields $5,000 in 33 years.

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A large-scale bakery needs an oven that can accommodate around 933 units of bread to produce 4000 units per hour with a 14-minute baking time.

We need to find the oven capacity to produce 4000 units of bread per hour while taking into account the 14-minute baking time.

Convert the baking time to hours
14 minutes = 14/60 = 7/30 hours
Calculate the number of baking cycles per hour
1 hour / (7/30 hours per cycle) = 30/7 cycles per hour
Calculate the number of bread units needed per baking cycle
4000 units per hour / (30/7 cycles per hour) = 4000 * (7/30) = 2800/3 ≈ 933.33 units per cycle
Round to the nearest integer
The required oven capacity is approximately 933 units of bread that can be baked simultaneously.

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From the equation above, we can conclude that for any n >= 0, the following must hold:\((n(n-1) + 3n + 2)C_n = 0 or (n+2)(n+1)C_{n+2} = (n+1)C_{n+1} + nC_n.\) This implies that \(C_{(n+2)} = C_{n+1} + C_n\).

Given a differential equation:

y" + (-3x + 2)y' + 2y = 0, where y = [infinity] Σn=0\(C_nx^n\) n=0 is a solution.

Hence, the coefficients Cn of this solution are related by the equation: \(C_{n+2 = C_{n+1 }+ C_n.\)

Proof: Let's substitute y into the differential equation. Since we have

\(y = [infinity]\sum n=0 C_nx^n n=0,\)

we get:\(y' = [infinity] \sum n=0 nC_nx^n-1\)and

\(y" = [infinity] \sum n=0 n(n-1)C_nx^n-2.\)

Now substituting y', y" and y into the differential equation,

we get:\([infinity]\sum n=0 n(n-1)C_nx^n-2 + (-3x + 2)[infinity]\sum n =0 nC-nx^n-1 + 2[infinity]\sum n=0 Cnx^n= [infinity]\sum n=0 (n(n-1)Cn + 3nCn + 2Cn)x^n-2 = 0\).

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No, 1 gram is not equal to 1 mole. The numerical values of mole and gram are different for an object.

What is 1 gram?

Avogadro number of atoms makes up one mole. It is possible to convert a mole into grams if you know the mole quantity.

Mole: The International System of Units uses the mole (symbol: mol) as the unit of material quantity. How many elementary entities of a particular substance are present in an object or sample is determined by the quantity of that material. It is specified that the mole contains exactly 6.02214076×10²³ elementary entities.

The relation between  gram  and mole is

1 gram = Mole × atomic weight.

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, assuming that there is a complete dataset somewhere, we can use a   hypothesis    test to determine if there is a significant difference in treatment means for the fuel economy of the company fleet vehicles.

The null hypothesis would be that there is no significant difference in treatment means, while the alternative hypothesis would be that there is a significant difference. We can use a one-way ANOVA test to compare the means of multiple treatment groups.

To perform this test, we would need to calculate the sample means and standard deviations for each treatment group and then calculate the F statistic. We would then compare the calculated F value to the critical value of F with degrees of freedom equal to the number of treatment groups minus 1 and the total sample size minus the number of treatment groups.

If the calculated F value is greater than the critical value, we would reject the null hypothesis and conclude that there is a significant difference in treatment means. If the calculated F value is less than or equal to the critical value, we would fail to reject the null hypothesis and conclude that there is no significant difference.

Without more information about the data, it is not possible to say whether or not the sample provides sufficient evidence to conclude that there is a significant difference in treatment means.

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Answer:

n= -5/3. 3n+7>2, 3n>2-7, 3n>-5

Answer: width = 60 yd

and Length= 110 yd

Step-by-step explanation:

Step 1

Perimeter of rectangle field  is given as  2 ( L+ b)

Let the width be represented as x

'and length which is  50 yd longer than the width be

=x+ 50

such that the Perimeter with 340 yd can be expressed as

Perimeter = 2 ( L+ b) = 2L + 2B

Step 2---Solving

Perimeter = 2L + 2B

340 = 2(X+ 50) + (2 x)

340 = 2X+ 100 + 2X

340=4X + 100

340-100=4X

240= 4X

X= 240/4

X= 60

Width = x = 60 yards

 ;Length = 50 + x= 50 + 60 = 110yards

Answer:

Width=60 yd

length=110 yd

Step-by-step explanation:

Answer:he sum is 3x+6, which is equal to 108. Thus . If you plugged in 38 as the largest number, then the previous even integer The sum of three consecutive even integers equals 72.  Therefore, the largest value is n + 3, or 11. .Let x be the smallest of the four integers. We can add the terms together and set it equal to 32

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Step-by-step explanation:

Answer:

6

Step-by-step explanation:

When the number of ounces is 9, the cost per ounce would be 40 cents. To solve , we can use the concept of inverse variation, which states that two variables are inversely proportional if their product remains constant.

Let's denote the cost per ounce as C and the number of ounces as N. According to the problem, we know that when N = 6, C = 60 cents per ounce. Using the inverse variation equation, we have: C × N = k, where k is the constant of variation. Substituting the given values, we get: 60 × 6 = k; k = 360.

Now, we can find the cost per ounce when N = 9: C × 9 = 360. Dividing both sides by 9, we have: C = 360 / 9; C = 40. Therefore, when the number of ounces is 9, the cost per ounce would be 40 cents.

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Answer:

A. (0,-2)

Step-by-step explanation:

Meaning of a rational number is a number that can be expressed as the quotient or fraction

p/q of two integers, a numerator p and a non-zero denominator q.

Answer:

(A). (0,-2)

Step-by-step explanation:

y-intercept means the points in which the funtion crosses the y-axis. According to the graph you can see that at (0,-2) it crosses the axis and therefore (0,-2) is the answer.

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Answer:

a) 6 gigabytes

b) $100

Step-by-step explanation:

Let c represent the total cost in dollars and d represent the amount of data used in gigabytes.

For the first smartphone

One smartphone plan costs $52 per month for talk and messaging and $8 per gigabyte of data used each month.

Equation =

c = 52 + 8d

For the Second smartphone

A second smartphone plan costs $82 per month for talk and messaging and $3 per gigabyte of data used each month.

Equation =>

c = 82 + 3d

How many gigabytes would have to be used for the plans to cost the same?

We would equate both cost to each other

52 + 8d = 82 + 3d

Collect like terms

8d - 3d = 82 - 52

5d = 30

d = 30/5

d = 6

Therefore,

a) The number of gigabytes for the cost of both Smartphone data plans to be the same = 6 gigabytes.

b) The cost of both plans if 6 gigabytes is used =>

c = 52 + 8d

c = 52 + 8 × 6

c = $100