brainiest !!!!!!!! this needs to be done asappp

Brainiest !!!!!!!! This Needs To Be Done Asappp
Brainiest !!!!!!!! This Needs To Be Done Asappp

Answers

Answer 1

The coordinates best represent the vertex of the graph is given by (1, -2).

Hence the correct option is (D).

Graph is a pictorial representation of a curve or a function or a relation.

From the given graph we can see that the curve is an upward parabola which has vertex at a point other than origin.

We can see that where the vertex is formed the value along X axis is 1 and the value along Y axis is -2 (towards down).

So the vertex of the given graph is at (1, -2).  

Hence the correct option will be (D).

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Related Questions

Given ƒ(x) = −3x², find ƒ(−10)

Answers

Answer:

  -300

Step-by-step explanation:

You want the value of f(-10) given that f(x) = -3x².

Evaluation

Put the value where the variable is and do the arithmetic.

  f(-10) = -3(-10)² = -3(100) = -300

The value of f(-10) is -300.

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CAN SOMEONE HELP WITH THIS QUESTION?

Answers

The velocity at pART a =  584

The velocity in answer B = 576

How to solve for velocity

The change in time = 4

distance traveled using the 20 second interbval is

4[ 31 + 31 + 33 + 28 + 23 ]

= 4 * 146

= 584

At the end of the time periods the velocities would be:

4[31 + 33 + 28 + 23 + 29]

= 4 x 144

= 576

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What is the surface area of the figure for #11?


*with work on how to solve please!

Answers

The surface areas of the figures are:

10.  1,376 ft² or F 1,344 ft²11.  B. 1,058.4 in².

How to determine surface area?

10.To find the surface area of this rectangular prism, find the area of each face and then add them together.

Face 1: The front and back faces both have dimensions of 12 ft by 14 ft, so the area of each is:

12 ft × 14 ft = 168 ft²

Two of these faces, so the total area is:

2 × 168 ft² = 336 ft²

Face 2: The top and bottom faces both have dimensions of 20 ft by 14 ft, so the area of each is:

20 ft × 14 ft = 280 ft²

Two of these faces, so the total area is:

2 × 280 ft² = 560 ft²

Face 3: The left and right faces both have dimensions of 12 ft by 20 ft, so the area of each is:

12 ft × 20 ft = 240 ft²

Two of these faces, so the total area is:

2 × 240 ft² = 480 ft²

Now add up the areas of all the faces:

336 ft² + 560 ft² + 480 ft² = 1,376 ft²

11. To find the surface area of the figure, add the areas of all six faces.

Find the area of the rectangular faces:

The front and back faces both have dimensions of 14 in by 14 in, so each has an area of 14 in x 14 in = 196 in².

The top and bottom faces both have dimensions of 13 in by 8.9 in, so each has an area of 13 in x 8.9 in = 115.7 in².

Find the area of the triangular faces. Use the Pythagorean theorem to find the length of the third side of each triangle:

The two side faces are congruent triangles with legs of 14 in and 13 in.

Using the Pythagorean theorem, find the length of the hypotenuse to be √(14² + 13²) ≈ 19.14 in. The area of each triangle is then 1/2 base x height = 1/2 x 19.14 in x 8.9 in ≈ 85.3 in².

Using the Pythagorean theorem, find the length of the hypotenuse to be √(8.9² + 13²) ≈ 15.8 in. The area of each triangle is then 1/2 base x height = 1/2 x 15.8 in x 14 in ≈ 110.6 in².

Finally, add up the areas of all six faces:

Front and back faces: 2 x 196 in² = 392 in²

Top and bottom faces: 2 x 115.7 in² = 231.4 in²

Side faces: 2 x 85.3 in² = 170.6 in²

End faces: 2 x 110.6 in² = 221.2 in²

The total surface area is the sum of these areas:

392 in² + 231.4 in² + 170.6 in² + 221.2 in² ≈ 1,015.2 in²

Therefore, the answer is B. 1,058.4 in².

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what is the missing step in this proof GIVEN: ABC with AD/DB= CB/BB PROVE: DE||AC

Answers

The missing step in this proof is option A. ∠ABC ≅ ∠DBE

How did we arrive at this assertion?

In order to bring about the SAS similarity criterion, the angle between the proportional sides should be congruent in the two triangles. Thus, the said angle is the same angle (angle B) in both triangles, which is reason for citing the reflexive property. It showcases ∠B ≅ ∠B.

Therefore, the answer choice showcasing angle B is option A. ∠ABC ≅ ∠DBE

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The complete question goes thus:

what is the missing step in this proof GIVEN: ABC with AD/DB= CB/BB PROVE: DE||AC

1. AD:DB = CE:EB Given

2. AD:DB+1 = CE:EB+1 Addition Property of Equality

3. (AD+DB)/DB = (CE+EB)/EB Using common denominators

4. AB = AD+ DB and CB = CE +EB segment addition

5. AB:DB = CB:EB Substitution property of equality

6. [Fill in missing statement from choices below] Reflexive property of congruence

7. ΔABC ~ ΔDBE SAS similarity criterion

8. ∠BAC ≅ ∠BDE Corresponding angles of similar triangles are congruent.

9. DE||AC If the corresponding angles formed by two lines cut by a transversal are congruent, then the lines are parallel.

What is the missing step in this proof?

A. ∠ABC ≅ ∠DBE

B. ∠BCA ≅ ∠BDE

C. ∠ACB ≅ ∠DEB

D. ∠BDE ≅ ∠ADE

E. ∠CAB ≅ ∠DAC

Tony and Jim go on a hiking trip. They start from the same spot in the morning. Tony travels 5 miles due south and Jim travels 6 miles north east, by noon. To the nearest mile, how far apart are Tony and Jim?

Answers

Answer:

To the nearest mile, Tony and Jim are 9 miles apart.

To visualize this, imagine a right triangle where Jim's starting point is at the right angle. Tony travels 5 miles due south, which is the adjacent side of the triangle. Jim travels 6 miles north east, which is the hypotenuse of the triangle. The opposite side of the triangle is the distance between Tony and Jim.

Using the Pythagorean theorem, we can find the length of the opposite side:

opposite side = sqrt(hypotenuse^2 - adjacent side^2)

opposite side = sqrt(6^2 - 5^2)

opposite side = sqrt(11)

To the nearest mile, the distance between Tony and Jim is 9 miles.

Two animals are experiencing major events in their life cycles.

Animal 1: A panther is a group of cells that are dividing within the mother.
Animal 2: A pelican has hatched from an egg.

Are these animals at the same stage in their life cycle, or different stages, and why?(20 points)
The same stage. Both the panther and the pelican are embryos.
The same stage. Both the panther and the pelican are adults.
Different stages. The panther is an embryo and the pelican is an infant.
Different stages. The panther is an egg and the pelican is an adult.

Answers

The two animals are at different stages in their life cycle.  Hence option C: Different stages. The panther is an embryo and the pelican is an infant.

What is the life cycles?

The two creatures are at distinct points of their developmental process. The panther, denoted as Animal 1, is characterized as a cluster of cells undergoing division within its maternal host. This is one that then shows that the panther is at a very early stage of growth, and that it is in embryonic phase.

The pelican, is one that is also known as Animal 2, that has successfully hatched from its egg, telling us the conclusion of its embryonic phase and the start of the post-embryonic phase.

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Find the partial sum for the sequence.

{0, −1, −3, −6, −10, ...}; S14
S14=

Answers

Answer:

-91

Step-by-step explanation:

To find the partial sum for the sequence

[tex]\large \boxed{\mathrm{ \ 0, \ -1, \ -3, \ -6, \ -10,}}[/tex]

We first notice that the first term is

[tex]\large \boxed{\mathrm{0}}[/tex],

And each subsequent term is the sum of the previous term and the next integer in the sequence starting with [tex]-1.[/tex] Therefore, we can use the formula for the sum of an arithmetic series to find the partial sum S14:

S14 = 14/2 * (2(0) + (14-1)(-1+0)/2) = 14/2 * (13/2 * -1) = -91

Therefore, the partial sum for the sequence up to the [tex]14th[/tex] term is [tex]-91.[/tex]

Answer:

[tex]91[/tex]

Step-by-step explanation:

The partial sum of a sequence is the sum of a certain number of terms in the sequence. For the given sequence

{0, −1, −3, −6, −10, ...},

The nth term can be represented as Tn = n(n-1)/2. This means that the partial sum of the first 14 terms of the sequence, denoted by S14, can be calculated by adding up the first 14 terms using the formula: S14 = 0 + (-1) + (-3) + (-6) + (-10) + ... + T14.

Simplifying this expression using the formula for Tn, We get S14 = 91. Therefore, the partial sum for the given sequence up to the 14th term is equal to 91.

1
Select the correct answer.
What does it mean when the correlation coefficient has a positive value?
O A.
OB.
O C.
O D.
When x increases, y decreases, and when x decreases, y increases.
When x increases, y increases, and when x decreases, y decreases.
When x increases, y decreases, and when x is constant, y equals zero.
When x increases, y increases, and when x is constant, y decreases.

Answers

Answer:

The correct answer is B.

When x increases, y increases, and when x decreases, y decreases.

CAN SOMEONE HELP WITH THIS QUESTION?

Answers

The displacement of the particle at time t is 11t - t², and the total distance traveled by the particle in 2 seconds is 9 meters.

The displacement of a particle moving along a straight line can be calculated by finding the area under the velocity-time graph. In this case, the velocity function is v(t) = 11 - 2t for 0 ≤ t ≤ 2.

To find the displacement at time t, we need to find the area under the velocity-time from t = 0 to t = t. The formula for displacement is the integral of the velocity function with respect to time:

s(t) = ∫v(t) dt = ∫(11 - 2t) dt = 11t - t²

Therefore, the displacement of the particle at time t is given by s(t) = 11t - t².

To find the total distance traveled by the particle in 2 seconds, we need to consider both the forward and backward motion. Since the velocity is decreasing at a constant rate of 2 m/s², the particle will come to rest at t = 11/2 seconds.

The total distance traveled by the particle in 2 seconds is given by:

d(2) = ∫|v(t)| dt =  [tex]\int\limits^{11/2}_0[/tex] v(t) dt + [tex]\int\limits^2_{11/2}[/tex]|v(t)| dt from 11/2 to 2

= [[tex]\int\limits^{11/2}_0[/tex](11t - t²) ] + [[tex]\int\limits^2_{11/2}[/tex](-11t + t²) ]

= (121/2 - 121/4) + (4 - 121/2) = 9 meters

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Gretta travels 77 miles per hour for 5 hours, find the distance traveled in miles

Answers

Answer: 358 miles

Step-by-step explanation:

Answer: 385

Step-by-step explanation: 77x5

the surface area of a rectangular prism is 1,648 inches, the width is 16 inches and the hight is 20 inches. What is the length

Answers

Answer:

14

Step-by-step explanation:

l = length, w = width, h = height.

The surface area of a rectangular prism is:

2lw + 2wh + 2lh.

If the total surface area is 1648, your equation will be:

2lw + 2wh + 2lh = 1648.

lw + wh + lh = 824.

Plug in your width and height values.

16l + 16*20 + 20l = 824.

36l = 504.

Length = 14.

Answer:

[tex]\boxed{\sf l=14(in)}.[/tex]

Step-by-step explanation:

1. Write the surface area equation for rectangular prisms.

[tex]\sf SA=2(wl+hl+hw)[/tex]

2. Substitute the variables by the given values in the formula.

Surface area (SA)= 1,648 inches;

Width (w)= 16 inches;

Height (h)= 20 inches.

[tex]\sf 1648(in)=2((16(in))l+(20(in))l+(20(in))(16(in)))[/tex]

3. Simplify the expression.

Let's remove the units for these steps to make the algebra a little bit easier to understand.

[tex]\sf 1648=2(16l+20l+320)\\ \\1648=2(36l+320)[/tex]

Here, we apply the distributive property of multiplication. Check attached image 1.

[tex]\sf 1648=(2)(36l)+(2)(320)\\\\1648=72l+640[/tex]

Now solving the equation for "l" to find its value.4. Subtract "640" from both sides of the equation.

[tex]\sf 1648-640=72l+640-640\\ \\1008=72l\\ \\72l= 1008[/tex]

5. Divide both sides by "72".

[tex]\sf \dfrac{72l}{72} = \dfrac{1008}{72} \\ \\\\ \boxed{\sf l=14(in)}.[/tex]

6. Verification.

If you want to verify this answer simply take the surface area formula for rectangular prisms and calculate the value for the SA using these values of lengh, width and height:

[tex]\sf SA=2((16)(14)+(20)(14)+(20)(16))=\boxed{\sf 1648}. That's\,correct![/tex]

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Find the missing point of the following rectangle. (1, 8) (0, 8) (2, 8) (3, 7)

Answers

The missing point of the rectangle is determined as (3, 8).

What is a rectangle?

A rectangle is a four-sided flat shape in which the opposite sides are equal in length and parallel to each other, and all four angles are right angle.

The area of a rectangle is equal to the length multiplied by the width, and the perimeter is equal to the sum of the lengths of all four sides.

Since each angle of a rectangle must be 90 degrees, the length of each opposite side must be equal.

the missing side must be parallel to point (0, 8) and perpendicular to point (3, 7).

the side must be (3, 8)

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An air traffic controller is tracking two planes. To start, Plane A is at an altitude of 2775 feet and Plane B is just taking off. Plane A is gaining altitude at 25.25 feet per second and Plane B is gaining altitude at 80.75 feet per second.

Answers

When the planes are at the same altitude after 48 seconds, they will be at an altitude of 4014 feet.

Let's assume that after t seconds, Plan A will be at an altitude of A and Plan B will be at an altitude of B. We want to find the value of t when A = B.

We can use the following equations to model the altitude of each plane after t seconds:

A = 2172 + 35.25t

B = 80.5t

We can set A equal to B and solve for t:

2172 + 35.25t = 80.5t

Subtracting 35.25t from both sides, we get:

2172 = 45.25t

Dividing both sides by 45.25, we get:

t = 48 seconds (rounded to the nearest second)

Therefore, the planes will be at the same altitude after 48 seconds.

To find the altitude they will be at, we can substitute t = 48 into either of the altitude equations. Let's use the equation for Plan A:

A = 2172 + 35.25t

A = 2172 + 35.25(48)

A = 4014 feet

Correct Question :

An air traffic controller is tracking two planes. To start, Plan A is at an altitude of 2172 feet and Plan B is just taking off. Plan A is gaining altitude at 35.25 feet per second and Plan B is gainnig altitude at 80.5 feet per second.

How many seconds will pass before the planes are at the same altitude?

What will their altitude be when they're at the same altitude?

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La base de un rectangulo mide el doble de su altura. Cuales son sus dimensiones Si el perimetro mide 144 cm ?

Answers

Answer:

Las dimensiones del rectángulo son:

altura = 24 cm

base = 48 cm

Step-by-step explanation:

Consideración:

La formula del perímetro de un rectángulo es:

p = 2(altura+base)

Planteamiento:

144 = 2(a+b)

b = 2a

a = longitud de la base del rectángulo

b = longitud de la altura del rectángulo

de la primer ecuación del planteamiento:

144/2 = a+b

72 = a+b

b = 72-a

igualando este último valor con el de la segunda ecuación del planteamiento:

2a = 72 - a

2a + a = 72

3a = 72

a = 72/3

a = 24 cm

b = 2a

b = 2*24

b = 48 cm

Comprobación:

144 = 2(24+48)

144 = 2*72

Ivy Tech Tuition was $88.34 per credit hour in 2006. Use the CPI values to determine what the school would be charging in 2013 if they only increased tuition based on inflation.

Answers

Answer: they would be charging $102.66 per credit hour in 2013.

Step-by-step explanation:

To determine what Ivy Tech would be charging in 2013 if they only increased tuition based on inflation, we need to use the CPI values to adjust for inflation between 2006 and 2013.

First, we need to calculate the inflation rate between the two years:

Inflation rate = CPI in 2013 / CPI in 2006

Inflation rate = 234.531 / 201.6 = 1.162

This means that the cost of living increased by 16.2% between 2006 and 2013.

Next, we can use this inflation rate to calculate the adjusted tuition cost for 2013:

Tuition in 2013 = Tuition in 2006 x (CPI in 2013 / CPI in 2006)

Tuition in 2013 = $88.34 x (234.531 / 201.6)

Tuition in 2013 = $102.66 (rounded to the nearest cent)

Therefore, if Ivy Tech only increased tuition based on inflation, they would be charging $102.66 per credit hour in 2013.

Contrary to common belief, the price of a single item as listed in the CPI (Consumer Price Index) does not always rise and fall in tandem with the price of the same item in the PPI (Producer Price Index). Which of the following is not a reason that makes this so?
a.
Imports are excluded from PPI, but included in CPI.
b.
Taxes paid as part of the purchase are not included as part of the PPI but are included in the CPI.
c.
The PPI includes the prices of goods purchased by other producers while the CPI includes only the prices of goods purchased by consumers.
d.
Since the PPI measures the change of the price the producer receives for their product and the CPI measure the change of the price the consumer pays for the product, one should rise while the other will fall.

Answers

What does not make the context given as such is since PPI measures the change of the price the producer receives for their product and the CPI measure the change of the price the consumer pays for the product, one should rise while the other will fall. The Option D is correct.

Why does the price not always rise and fall in tandem?

This is because two indexes measure different things. The PPI measures change in prices of goods and services at the producer level while CPI measures the change in prices of goods and services at the consumer level.

That tells us PPI assess prices producers receive for their goods while CPI assess prices consumers pay for those same goods. So, while we have overlap between them, they are measuring different aspects of the economy and their trends may not always move in lockstep with each other.

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(ECONOMICS- sorry there’s no button for it )

What motivates producers and consumers in the black market

Answers

The motivations for producers and consumers in the black market are largely driven by financial incentives and a desire to avoid legal consequences.

The black market refers to the illegal trade of goods and services that are not permitted by law, such as drugs, counterfeit items, and stolen goods. Producers and consumers in the black market are motivated by a variety of factors, including:

High profits, Producers in the black market can earn higher profits than they would in legal markets due to the lack of regulation and taxes.

Escaping legal consequences: Producers and consumers may participate in the black market to avoid legal consequences, such as fines or imprisonment, for engaging in illegal activities.

Limited availability, Some goods and services are only available on the black market due to legal restrictions or limited supply.

Low prices, Consumers in the black market can often purchase goods and services at lower prices than in legal markets due to the lack of taxes and regulations.

Desire for anonymity, The black market can provide anonymity for both producers and consumers, allowing them to engage in illegal activities without fear of detection or retribution.

However, participating in the black market also comes with significant risks, including the possibility of arrest, fines, and even violence.

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Using the integers −9 to 9 at most one time each, place a digit in each box ( ___ , ____) and. ( ___ , ____) to create endpoints for the longest possible line segment both numerically and graphically whose midpoint is (1, 3)

Answers

Using the integers −9 to 9 at most one time each, place a digit in each box (1, 3) and (9, 3) or (-9, 3) to create endpoints for the longest possible line segment both numerically and graphically whose midpoint is (1, 3).

To find the endpoints of the longest possible line segment with midpoint (1, 3), we can use the midpoint formula, which states that the midpoint of a line segment with endpoints (x₁, y₁) and (x₂, y₂) is ((x₁+x₂)/2, (y₁+y₂)/2).

In this case, we know the midpoint is (1, 3), so we can set up two equations using the variables for the endpoints (x and y) and solve for them:

(x₁ + x₂)/2 = 1

(y₁ + y₂)/2 = 3

We also know that the line segment must be as long as possible, so the endpoints should be as far away from each other as possible. To maximize the distance between the endpoints, we can choose one endpoint to be -9 and the other endpoint to be 9. This gives us:

(x₁ + x₂)/2 = 1 => x₁ + x₂ = 2

(y₁ + y₂)/2 = 3 => y₁ + y₂ = 6

Now we can solve for x₁ and y₁, since x₂ and y₂ will be 2-x₁ and 6-y₁ respectively:

x₁ + (2-x₁) = 2 => x₁ = 1

y₁ + (6-y₁) = 6 => y₁ = 3

So the endpoints of the longest possible line segment with midpoint (1, 3) are (1, 3) and (9, 3) or (-9, 3), and its length is 8 units.

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The first three terms of a sequence are given. Round to the nearest thousandth (if necessary).
3,6,12,...
Find the 9th term.

Answers

Answer:

We can see that the sequence is formed by multiplying each term by 2 to obtain the next term. Therefore, the fourth term is 12 x 2 = 24, the fifth term is 24 x 2 = 48, and so on.

To find the ninth term, we can multiply the third term by 2 six times:

3 x 2^6 = 3 x 64 = 192

Therefore, the ninth term of the sequence is 192.

Based on the best available econometric estimates, the market elasticity of demand for your firm’s product is −2.0. The marginal cost of producing the product is constant at $75, while average total cost at current production levels is $140.

Determine your optimal per unit price if:

Instructions: Enter your responses rounded to two decimal places.

a. you are a monopolist.

$



b. you compete against one other firm in a Cournot oligopoly.


$


c. you compete against 19 other firms in a Cournot oligopoly.


$

Answers

Answer:

c. Cournot oligopoly (20 firms):

The optimal per unit price for a Cournot oligopoly with 20 firms is $485.10.

Step-by-step explanation:

Select the correct answer. A company manufactures computers. Function N represents the number of components that a new employee can assemble per day. Function E represents the number of components that an experienced employee can assemble per day. In both functions, t represents the number of hours worked in one day. Which function describes the difference of the number of components assembled per day by the experienced and new employees? A. B. C. D. Reset Next

Answers

The function that describes the difference of the number of components assembled per day by the experienced and new employees is:

E(t) - N(t)

This is because E(t) represents the number of components assembled by an experienced employee in t hours, and N(t) represents the number of components assembled by a new employee in t hours. Therefore, the difference between the two functions will give us the difference in the number of components assembled per day by the two types of employees.

Out of the given options, option A represents the correct answer:

E(t) - N(t) = (5t) - (3t) = 2t

Therefore, the correct answer is A.

What is the sum?
X
3
2
+
x+3 x+3 " x+3
0
+
5
X+5
x+3
X+5
3x+27
Ex
x+3

Answers

Answer: 2, 2, 135, 9, 5, 35, 15, 10, 15, 15

Step-by-step explanation:

HELP PLEASE IM GIVE BRAINLIST

Answers

The triangle which could be drawn as per the given description is only option b. isosceles triangle with measure 20° and 80°.

An acute triangle with sides measuring 7, 4, and 2

In an acute triangle, the sum of the squares of the two shorter sides must be greater than the square of the longest side .

According to the Pythagorean Theorem.

Here, 7² is greater than (4² + 2²).

So this is not possible.

An isosceles triangle with angles measuring 20° and 80°

In an isosceles triangle, two angles are equal, so if two angle measures 20° and 80°,

Then the third angle measures is

180° - 20° - 80°= 80°

Two angles are congruent implies two sides are congruent.

It is possible to form isosceles triangle.

An obtuse triangle with sides measuring 5, 10, and 15

In an obtuse triangle, the longest side is opposite the largest angle.

Sum of squares of two shorter sides is less than square of longest side according to Pythagorean Theorem.

However, 15²is greater than (5²+ 10²),

so this is not possible.

A scalene triangle with angles measuring 110° and 35°

The sum of the angles of any triangle is 180°,

so the third angle must measure

180° - 110° - 35° = 35°.

Two angles are congruent so it is isosceles triangle.

It is not possible to form scalene triangle.

Therefore, the triangle possible to draw as per the given condition is only option b. isosceles triangle with measure 20° and 80°.

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Select the correct answer.
Which number has a repeating decimal form?

A. 15
B. 11/25
C.3/20
D.2/6

Answers

D. 2/6

2/6 is equivalent to 1/3, which is 0.33 continued forever, also written as 0.3

Answer:

2/6

Step-by-step explanation:

15 isn't a decimal number

11/25=0.44 not recurring (not repeating)

3/20=0.15 not recurring (not repeating)

2/6=0.333333 recurring

so the answer is D

PLEASE HELP! CORRECT ANSWERS ONLY!

Part A: You invest 12% of your paycheck into your 401k retirement plan. If your paycheck is 2,100, how much is being invested?

Part B: Your company will contribute half of what you invest. If you invest 10% of your 2,100 paycheck, how much is your company putting in?​

Answers

A. The amount invested is given as follows: $252.

B. The amount being put in is given as follows: $105.

How to obtain the amounts?

The amounts are obtained applying the proportions in the context of the problem.

For item a, the amount is of 12% of 2100, hence it is given as follows:

0.12 x 2100 = $252.

For item b, the amount is half of 10% of 2100, hence it is given as follows:

0.5 x 0.1 x 2100 = $105.

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A sample of bacteria is decaying according to a half-life model. If the sample begins with 500 bacteria, and after 20 minutes there are 100 bacteria, after how many minutes will there be 20 bacteria remaining? When solving this problem, round the value of k to four decimal places and round your final answer to the nearest whole number.

Answers

The constant k is  0.08

The time taken is 40 minutes

What is the half life?

The half-life of a specific radioactive substance is determined by its decay constant, which is a measure of how quickly the substance decays.

Given that;

P= Poe^-kt

P = population at time t

Po = initial population

k = rate of decay

t = time taken

Then;

100 = 500e^-k20

100/500 = e^-k20

0.2 = e^-k20

ln0.2 = e^-k20

k = ln0.2/-20

k = 0.08

We know that;

20 = 500e^-0.08t

20/500 = e^-0.08t

0.04 = e^-0.08t

ln 0.04 = e^-0.08t

ln0.04 = -0.08t

t = ln0.04/-0.08

t = 40 minutes

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I put the question in the photo but it’s basically a contingency table I just can’t find which like formula to us

Answers

a) The probability that exactly one of them will be a girl = 0.3407

b) The probability that at least one of them will like the football = 0.7672

a) If we select three students then the probability that exactly one of them will be a girl

From the attached two way table we can observe that the total number of girls = 22

the total number of boys = 18

and the total number of students = 40

The possible outcomes for selecting 3 students from 40 would be,

⁴⁰C₃

Using combination formula,

⁴⁰C₃ = 40! / (3! × (40 - 3)!)

      = 9880

If there is exactly one girl then other two must be boys in the set of 3 selected students.

So, the required probability would be,

P = (²²C₁ × ¹⁸C₂) / ⁴⁰C₃

P = (22 × 153)/9880

P = 0.3407

b) The number of students like the football = 15

and the number of students who don't like the football are 40 - 15 = 25

The probability that at least one of them will like the football would be,

P = (¹⁵C₃ × ²⁵C₀ + ¹⁵C₂ × ²⁵C₁ + ¹⁵C₁ × ²⁵C₂) / ⁴⁰C₃

P = ((455 × 1) + (105 × 25) + (15 × 300)) / 9880

P = 0.7672

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Tim has 6 more books than Moby. The variable m represents the number of books Moby has. Which expression represents the number of books Tim has? ​

Answers

Answer m+6=b

Step-by-step explanation:

m means Moby since Moby is being added by six compared to Tim, we put a 6 after m to show how many more books Tim has, then we use b for book.

Answer: The number of books belonging to Tim is m+6

Step-by-step explanation: Here variable "m " represents the number of books Moby owns.

Let "b" be the variable representing the number of books owned by Tim.

The question directs that Tim has 6 more books than Moby.

To find the number of books belonging to Tim, one has to add six more books than that of Moby

Therefore by the simple addition of these variables, we will get to know the solution

So, the number of books belonging to Tim (b) will be m+6,

that is m+6=b

Hence proved.

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Michel-Eugène Chevreul found that the greatest intensity came from placing ________colors next to each other.

tertirary

analogous

complementary

arbitrary

Answers

Answer:

C. complementary

Michel-Eugène Chevreul discovered that placing complementary colors next to each other can create the greatest contrast and vibrancy in color perception. This is because complementary colors are located opposite each other on the color wheel and, when placed side by side, they enhance each other and create a strong visual impact. For example, placing yellow next to violet or blue next to orange can create a dynamic and eye-catching effect. In contrast, placing tertiary colors (colors made by mixing primary and secondary colors) or arbitrary colors next to each other may not create as much contrast or visual interest. Overall, understanding color theory and the relationships between different colors can be helpful for creating visually appealing designs, artworks, or other color-based projects.

(X-3)/4+(x-1)/5-(x-2)/3=1

Answers

i Got u Bro! Answer:X=8x/15+77/15

:D

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