i do be needing help tho ngl

I Do Be Needing Help Tho Ngl

Answers

Answer 1

Answer:

6^5

Step-by-step explanation:

( I put ^5 to show that I mean 6 with an exponent of 5) Hope this helped

Answer 2

Answer:

ok so it is written as 6^5

Step-by-step explanation:

That means 6 times 5 of it's self. when ya get the hang of it. it'll be fun lol


Related Questions

What weight of ugar yrup would you get if you made each of the following. 12% ugar yrup uing 5g of ugar

Answers

The weight of Sugar Syrup is 42 grams

What is Weight?

The amount or quantity of bulk or heaviness; the weight of something. Physics. In an area of constant gravitational acceleration, mass is typically used as a measure of mass since the force of gravity acting on a body is equal to the body's mass times the local acceleration of gravity.

First calculate the mass

Adding * grams of water

= 5/5+x

= 0.12

⇒ 5 = 012x ( x + 5)

⇒ 5 = 012x + 0.6

= 4.4/0.12

= 37grams

Total mass of these two materials will be

= 5 + 37

= 42 grams

weight of Sugar Syrup will be

x = 5 / 0.12

= 42 grams

The weight of Sugar Syrup is 42 grams

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Consider the plate dealt with in Example 8.1. Plot has a function of the angle of inclination of the plate as the hot side is tilted both upward and downward over the range +90°. Note that you must make do with discontinuous formulæ in different ranges of 0.

Answers

The question refers to the plot of the plate's function of the angle of inclination. When the hot side is tilted both upward and downward over the range of +90°, the discontinuous formulas must be used in different ranges of 0.

It refers to the plot of the function of the angle of inclination of a plate. It is a graph that shows the relationship between the angle of inclination and the plate's function. A plate is tilted on its hot side both upward and downward over a range of +90°. The graph shows that different discontinuous formulas are needed for different ranges of 0. A discontinuous formula refers to a formula that consists of two or more parts, each with a different equation. The two or more parts of a discontinuous formula have different ranges, such that each range requires a different equation. These formulas are used in cases where the same equation cannot be applied throughout the entire range.

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A sea turtle is 3 feet below the surface of the sea. If its position can be recorded as - 3 feet, what would the position 0 represent in this situation? (4 points) A the surface of the sea.B the distance above the surface of the sea.C the distance below the surface of the sea. D the height of the turtle​

Answers

I am thinking it’s 1

Answer:

A.

Step-by-step explanation:

URGENT i need the answer for number 23 tyyyy

URGENT i need the answer for number 23 tyyyy

Answers

No your friend I’d not correct although the slope is 4, the y-intercept is -3 because of the minus 3 in the equation.

Answer:

The y-intercept should be -3 since it is 4x-3 so no your friend is not right

Step-by-step explanation:

find an ordered pair x-2y=4​

Answers

Answer:

Step by Step:
x-2y=4
+2y +2y
x=-2y+4

x-2y=4
-4 -4
x-2y-4=0
+2y +2y
x-4=2y
Divid by 2
1/2x-2= y

x=-2y+4
x=-2(1/2x-2)+4
x=-x+4+4
x=-x+8
+x +x
2x= 8
x=4

y=1/2x-2
y=1/2(4)-2
y=2-2
y=0
(4,0)

The ordered pair for the equation x-2y=4​ will be (-4,-4).

What is the equation?

A mathematical equation is a claim that two expressions, which may contain variables or numbers, are equal. Equations are essential questions, and the main motivations for the development of mathematics have been efforts to methodically discover answers to these questions.

It is given that the equation is x-2y=4​.

We have to find the ordered pair for the triangle.

You may run a test to see whether an ordered pair is a solution to an equation. Put the ordered pair's x-value into the equation after identifying it. It is clear that the ordered pair is a solution to the equation if, after simplifying, the y-value you obtain matches the y-value in the ordered pair.

The question is incomplete.

The complete question is to find the ordered pair of the equation  x-2y=4​ is the coordinates (-4,y)

x-2y=4​

-4-2y=4

-2y=4+4

2y=-8

y= -4

Thus the ordered pair will be (-4,-4).

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I need help please, this is so confusing

I need help please, this is so confusing

Answers

Answer:

g(x) = |x+1| + 2

Step-by-step explanation:

In functions for horizontal shifts left or right we look at 'h' in the absolute value function formula: f(x) = a |x-h| +k, the h is opposite of what we think in functions here. an h value of 4 would indicate 4 to the left, -4 would indicate 4 to the right. Since we move 4 to the left we have '+4' and add that to the -3 in the function, giving us a h value of -1, so the new function would be g(x) = |x+1| + 2

Today, Andrew borrowed R200 000 from a bank. The bank charges interest at 5.25%p.a, a compounded quarterly. Andrew will make make payments of R6 000 at the end of 3 months. His first repayment will be made 3 months from now, how long in years will it take for Andrew to settle the loan

Answers

In order to calculate the time it will take for Andrew to settle the loan, we can use the formula for compound interest. So, it will take Andrew approximately 5.22 years to settle the loan.

The formula is given as A = P(1 + r/n)^(nt), Where: A = the final amount, P = the principal (initial amount borrowed), R = the annual interest rate, N = the number of times the interest is compounded in a year, T = the time in years.

We know that Andrew borrowed R200 000 from a bank at an annual interest rate of 5.25% compounded quarterly and that he will make repayments of R6 000 at the end of every 3 months.

Since the first repayment will be made 3 months from now, we can consider that the initial loan repayment is made at time t = 0. This means that we need to calculate the value of t when the total amount repaid is equal to the initial amount borrowed.

Using the formula for compound interest: A = P(1 + r/n)^(nt), We can calculate the quarterly interest rate:r = (5.25/100)/4 = 0.013125We also know that the quarterly repayment amount is R6 000, so the amount borrowed minus the first repayment is the present value of the loan: P = R200 000 - R6 000 = R194 000

We can now substitute these values into the formula and solve for t: R194 000(1 + 0.013125/4)^(4t) = R200 000(1 + 0.013125/4)^(4t-1) + R6 000(1 + 0.013125/4)^(4t-2) + R6 000(1 + 0.013125/4)^(4t-3) + R6 000(1 + 0.013125/4)^(4t)

Rearranging the terms gives us: R194 000(1 + 0.013125/4)^(4t) - R6 000(1 + 0.013125/4)^(4t-1) - R6 000(1 + 0.013125/4)^(4t-2) - R6 000(1 + 0.013125/4)^(4t-3) - R200 000(1 + 0.013125/4)^(4t) = 0

Using trial and error, we can solve this equation to find that t = 5.22 years (rounded to 2 decimal places). Therefore, it will take Andrew approximately 5.22 years to settle the loan.

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1. Randomly selected statistics students participated in a study to test their ability to determine when 1 minute (60 seconds) has passed. Forty students yielded a sample mean of 58.3 sec, with a standard deviation of 5.5 sec. Construct an 99% confidence interval estimate of the population mean of all statistics students' times.

Answers

the 99% confidence interval estimate of the population mean of all statistics students' times in determining when 1 minute has passed ranges from approximately 55.7 seconds (58.3 - 2.355) to 60.9 seconds (58.3 + 2.355).

To construct a 99% confidence interval estimate of the population mean of all statistics students' times in determining when 1 minute has passed, we can use the sample mean, sample standard deviation, and the t-distribution. With a sample mean of 58.3 seconds and a standard deviation of 5.5 seconds, the 99% confidence interval estimate ranges from approximately 55.7 seconds to 60.9 seconds.

To construct a confidence interval, we use the formula: Confidence Interval = sample mean ± (critical value * standard error), where the critical value is obtained from the t-distribution for a given confidence level, and the standard error is calculated as the sample standard deviation divided by the square root of the sample size.

Given that the sample mean is 58.3 seconds, the sample standard deviation is 5.5 seconds, and the sample size is 40, we can calculate the standard error as 5.5 / √40 ≈ 0.871.

Next, we need to find the critical value for a 99% confidence level. Since the sample size is small (less than 30) and the population standard deviation is unknown, we use the t-distribution. With 39 degrees of freedom (n-1), the critical value for a 99% confidence level is approximately 2.704.

Using these values in the confidence interval formula, we have: Confidence Interval = 58.3 ± (2.704 * 0.871) ≈ 58.3 ± 2.355.

Therefore, the 99% confidence interval estimate of the population mean of all statistics students' times in determining when 1 minute has passed ranges from approximately 55.7 seconds (58.3 - 2.355) to 60.9 seconds (58.3 + 2.355).


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What type of function is this:

a1 = 2

an = an-1+4

Arithmetic and Explicit
Arithmetic and Recursive
Geometric and Explicit
Geometric and Recursive

Answers

Answer:

Gravity, also called gravitation, in mechanics, the universal force of attraction acting between all matter. ... On Earth all bodies have a weight, or downward force of gravity, proportional to their mass, which Earth's mass exerts on them. Gravity is measured by the acceleration that it gives to freely falling objects.

\( \\ \)

Two circles with radius $1$ are externally tangent at $B$, and have $\overline{AB}$ and $\overline{BC}$ as diameters. A tangent to the circle with diameter $\overline{BC}$ passes through $A$, and a tangent to the circle with diameter $\overline{AB}$ passes through $C,$ so that the tangent lines are parallel. Find the distance between the two tangent lines.

Answers

The distance between the two tangent lines is $0$.

Let's first draw a diagram to better understand the problem:

css

Copy code

       A

      / \

     /   \

    /     \

   B-------C

We are given that $AB$ and $BC$ are diameters of circles with radius $1$. Let $O_1$ and $O_2$ be the centers of the circles with diameters $AB$ and $BC$, respectively. Since $AB$ and $BC$ are diameters, $O_1$ and $O_2$ coincide with $B$.

Let $D$ be the point where the tangent to the circle with diameter $BC$ intersects $AB$, and let $E$ be the point where the tangent to the circle with diameter $AB$ intersects $BC$. Since the tangent lines are parallel, we have $\angle CDE = \angle ABC$. Furthermore, we know that $\angle ABC =\(90^\circ$\) since $AB$ is a diameter. Therefore, $\angle CDE = \(90^\circ$.\)

css

Copy code

       A

      / \

     /   \

    /     \

   B-------C

     \   /

      \ /

       D

Since $\angle CDE = \(90^\circ$\), we have $CD \perp DE$. Since $AB$ is a diameter, $AB \perp DE$. Therefore, $CD$ and $AB$ are parallel lines.

Let $F$ be the point where the tangent to the circle with diameter $BC$ intersects $CD$. We know that $AB \parallel CD$, so $\angle CDF = \angle ABC =\(90^\circ$\). This means that $CDF$ is a right triangle.

css

Copy code

       A

      / \

     /   \

    /     \

   B-------C

     \   / |

      \ /  |

       D   |

       |   |

       F   |

Let $x$ be the distance between the tangent lines. We want to find the value of $x$.

We have $DF = 1$ since $DF$ is a radius of the circle with diameter $BC$. We also have $CD = x$ since $CD$ is parallel to $AB$. Using the Pythagorean theorem in triangle $CDF$, we can find $CF$:

\($CF^2 = DF^2 + CD^2 = 1^2 + x^2 = x^2 + 1$\)

Since $CF$ is a radius of the circle with diameter $AB$, we have $CF = 1$. Therefore,\($x^2 + 1 = 1^2\)$, which gives us \($x^2 = 0$\). Since $x$ represents a distance, we can conclude that $x = 0$.

Therefore, the distance between the two tangent lines is $0$.

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Two circles with radius $1$ are externally tangent at $B$, and have $\overline{AB}$ and $\overline{BC}$

Enzo drew Triangle K L N. In Enzo’s triangle, Measure of angle K is represented as x degrees. The measure of Angle L is 5 times Measure of angle K. The measure of Angle N is 16 degrees less than 8 times Measure of angle K. Which statements must be true about the angle measures of Enzo’s triangle? Check all that apply.

Answers

the following statements are true: Angle K measures 14 degrees.

Angle L measures 70 degrees (5 times Angle K). Angle N measures 96 degrees (16 degrees less than 8 times Angle K). So all of the statements are true.

What is triangle?

A triangle is a three-sided polygon with three angles. It is a fundamental geometric shape and is often used in geometry and trigonometry.

We know that in a triangle, the sum of the measures of the angles is always 180 degrees. Using this fact and the given information, we can write:

Angle K + Angle L + Angle N = 180

Substituting the given expressions for Angle L and Angle N:

Angle K + 5Angle K + (8Angle K - 16) = 180

Simplifying:

14Angle K - 16 = 180

14Angle K = 196

Angle K = 14

Now we can find the measures of Angle L and Angle N:

Angle L = 5Angle K = 5(14) = 70

Angle N = 8Angle K - 16 = 8(14) - 16 = 96

Therefore, the following statements are true:

Angle K measures 14 degrees.

Angle L measures 70 degrees (5 times Angle K).

Angle N measures 96 degrees (16 degrees less than 8 times Angle K).

So all of the statements are true.

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Which of these functions from R to R are bijections? (Check all that apply.) Check All That Apply f(x) = -3x+4 f(x) = -3 22 + 7 f(x)= 2+1 2+2 f(x)= x + 1

Answers

The functions f(x) = -3x + 4 and f(x) = x + 1 are bijections.

A bijection is a function that is both injective (one-to-one) and surjective (onto). In other words, for a function to be a bijection, each input value must have a unique output value, and every output value must have a corresponding input value.

Let's analyze each function given:

1. f(x) = -3x + 4:

This function is a linear equation with a slope of -3. Since the coefficient of x is non-zero, the function is one-to-one. Also, as the range of this function spans all real numbers, it is onto. Therefore, f(x) = -3x + 4 is a bijection.

2. f(x) = -3²² + 7:

This function is a constant function, which means it has a fixed output value for all input values. It is not one-to-one since multiple inputs can yield the same output. Thus, f(x) = -3²² + 7 is not a bijection.

3. f(x) = 2 + 1² + 2:

This function is a constant function as well and does not vary with the input value x. Similar to the previous function, it is not one-to-one and fails to be a bijection.

4. f(x) = x + 1:

This function is a simple linear equation with a slope of 1. It is one-to-one since each input value corresponds to a unique output value. Additionally, the range of the function spans all real numbers, making it onto. Therefore, f(x) = x + 1 is a bijection.

In summary, the functions f(x) = -3x + 4 and f(x) = x + 1 are the bijections among the given options.

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help me please ??????

help me please ??????

Answers

Answer:

if your dividing its 4 pounds

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

I'm still not sure but sorry if I get it wrong

Help llsss happy holidays

Help llsss happy holidays

Answers

Answer:

D) The economy has done well for a while and is at its highest point of the cycle.

Step-by-step explanation:

I believe that it is "D" considering this is the highest point on the graph. Also the fact that, that's the only statement that makes sense for point "A".

I hope this helps!!!

Answer: C

Step-by-step explanation:

A just means that the growth of the cycle will keep increasing and will not decrease, which is wrong.

B means that point A is at its lowest point in the cycle, which is wrong too.

C is correct because before the dot that’s labeled A the growth was going down. But then point A showed the cycle growing slowly.

D is incorrect because point a isn’t the highest point, point A and point C are equal.

The edge of Robbie’s favorite pizza pie from Pizza Hut is 34.1 inches. How much cheese did the store use to cover Robbie’s favorite pizza pie? (Use 3.14 for pi) cheese = area so circumference to area

Answers

You divide circumference by 3.14 to find the diameter

Divide the diameter by 2 to get the radius

Use the formula for area with the radius that you just found and you should get your answer

Step-by-step explanation:

A stream, which is polluted with insecticide at concentration 10 g/m³, flows at a rate of 27 m³/day into a pond of volume 2100 m³. At the same time, water from the pond is flowing into the sea at rate 27 m³/day. The initial insecticide concentration in the pond is 3.5 g/m³. (a) Let y(t) be the amount of insecticide (in grams) in the pond at time t (days). Write down and solve an appropriate differential equation for y(t) along with the appropriate initial condition. (b) After a long time, what happens to the concentration of insecticide in the pond? (c) It is known that if the insecticide concentration in the pond reaches 8 g/m³ the water beetles in the pond will die. How many days does it take for the insecticide concentration to reach this threshold?

Answers

In this problem, we are given the initial concentration of insecticide in a pond and the rates at which polluted water enters and exits the pond. We need to determine the amount of insecticide in the pond over time, write a differential equation to model this situation, analyze the long-term behavior of the insecticide concentration, and find the time it takes for the concentration to reach a critical threshold.

(a) Let's denote the amount of insecticide in the pond at time t as y(t). The rate of change of y(t) is influenced by two factors: the inflow of polluted water and the outflow of water from the pond. The differential equation that governs this situation is dy/dt = (10 g/m³ - y(t)/2100 m³) * 27 m³/day. The initial condition is y(0) = 3.5 g/m³.

(b) To analyze the long-term behavior, we need to find the equilibrium point of the differential equation. As time goes to infinity, the concentration will approach the concentration of the inflowing water, which is 10 g/m³. Therefore, the concentration of insecticide in the pond will eventually stabilize at 10 g/m³.

(c) To find the time it takes for the insecticide concentration to reach 8 g/m³, we solve the differential equation with the initial condition and track the time until y(t) reaches 8 g/m³. The exact solution will depend on the specific form of the differential equation.

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you pick two cards, one at a time, from a standard 52-card deck. what is the probability of being dealt a red card (diamonds or hearts of any rank) as your first card, followed by a queen (of any suit) as your second card?

Answers

The probability of being dealt a red card followed by a queen is 0.0392. This is a problem of probability without replacement.

How to count the probability without replacement

A standard deck of 52 cards consists of four suits that are hearts, diamonds, clubs, and spades. The hearts and diamonds are red. While, the clubs and spades are black. Each suit consist of 13 ranks. They are Ace, 2, 3, 4, 5, 6, 7, 8, 9, 10, Jack, Queen, King.

If you pick two cards, one at a time, what is the probability that you draw a red card (of any rank) as the first card, and a queen card (of any suit) as the second card?

The number of red cards (hearts and diamonds of any rank) is 26.The number of queen cards (of any suit) is 4.

P(1st is red ∩ 2nd is queen)

= P(1st is red) × P(2nd is queen)

= (26/52) × (4/51)

= 104/2,652

= 0.0392

Hence, the probability of being dealt a red card followed by a queen is 0.0392.

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Solve for x

\( {5}^{x} = 200\)

Answers

The answer would be 40. 5 • 40 = 200

Se dispone de 10 m de alambre para rodear un terreno de forma rectangular.a. ¿Cuánto mide el largo del terreno si de ancho tiene 1 m? ________________________________b. ¿Y si tiene 2 m de ancho? __________________________________

Answers

Yo no see lol it no se

help please! geometry help needed.

help please! geometry help needed.

Answers

Answer:

83 in^3

Step-by-step explanation:

We will need to find the volume of the cube, and then subtract the volume of the pyramid to find the space between.

Volume of pyramid = lwh/3 = 41.67

Volume of cube = lwh = 5*5*5 = 125 Subtract these 2 to get

125-41.67 = 83.33

Please let me know if this helped <3

On April 5, Fair Coffee, Incorporated purchased merchandise with a list price of $2,700 and credit terms 2/10, n/30. On April 6, Fair Coffee returns $100 of the merchandise. Assuming Fair Coffee uses a perpetual inventory system, the journal entry on April 13, to record the payment of the amount owed, would be:

Answers

The journal entry on April 13, to record the payment of the amount owed would be: Debit Credit Account Receivable$2,637 (2% discount on $2,700) Cash$2,584 [(Cost of Merchandise - return) - discount] Cost of Merchandise$2,700 Inventory $2,700 (original price of merchandise purchased)

On April 5, Fair Coffee, Incorporated purchased merchandise with a list price of $2,700 and credit terms 2/10, n/30. On April 6, Fair Coffee returns $100 of the merchandise.On April 5, Fair Coffee, Incorporated purchased merchandise with a list price of $2,700 and credit terms 2/10, n/30. The company receives a discount of 2% if they pay within 10 days.On April 6, Fair Coffee returns $100 of the merchandise. The company will deduct the return amount from the cost of merchandise they will pay for.On April 13, the company is making payment of the amount owed. Since the company is eligible for a discount of 2% as they are paying within 10 days. The journal entry would be to debit the Account Receivable for the amount after deducting the discount and credit the cash account for the amount they are paying. The cost of merchandise purchased account would be credited with the original amount and inventory would be debited for the same amount.

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Enter the next 3 terms from the geometric sequence below.
1
-2,1,
2

Answers

Answer:

-1,2 and 3

Step-by-step explanation:

Please help i will mark brianliest.

Please help i will mark brianliest.

Answers

3:1 it can also be written as 3/1 (three over one)

work out the circumference of the circle when the radius is 6mm and give the answer in terms of pie.

Answers

_______________________________

Hey!!

Solution,

Radius(r)= 6 mm

Circumference of circle=?

Now,

Circumference of circle=2 pie r

=2*pi*6

=12 pie

So the answer is 12 pie.

Hope it helps...

Good luck on your assignment

______________________________

The circumference of the circle is 12\(\pi\) mm.

What is circumference of circle ?

The boundary of a circle, i.e. the length of the full arc of a circle is called circumference of circle.

What is the formula of circumference of circle ?

Let, radius of the circle be r

Then, Circumference of circle = \(2\pi r\) unit

What is the value of required circumference ?

Given, The radius is 6 mm

Circumference of the circle = \(2\pi r\)

                                                  = (\(2\pi\)× 6) mm

                                                  = 12\(\pi\) mm

Hence, Circumference of the circle = 12\(\pi\) mm

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what information can the chi-square goodness-of-fit test provide?

Answers

The chi-square goodness-of-fit test can provide information on categorical data match an expected distribution and which categories are contributing to any deviation from that distribution.

The chi-square goodness-of-fit test is a statistical test used to determine whether a set of observed categorical data matches an expected distribution. Specifically, the test compares the observed frequencies of each category to the expected frequencies based on a hypothesized distribution, and calculates a chi-square statistic. This statistic measures the degree of difference between the observed and expected frequencies, with larger values indicating greater deviation from the expected distribution. If the chi-square statistic is large enough to reject the null hypothesis (i.e., the observed data do not match the expected distribution), the test can provide information on which categories are contributing the most to the discrepancy. This can help identify which categories are over-represented or under-represented in the observed data, and can inform further investigation into potential causes of the deviation. In summary, the chi-square goodness-of-fit test can provide information on whether observed categorical data match an expected distribution and which categories are contributing to any deviation from that distribution.

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Which of the following ratios is
not equivalent to the other three?

A 2/3 B 4/5

C 4 to 6 D 8 to 12

Answers

Answer:

B: 4/5

Step-by-step explanation:

Here, we simply go on to express the ratios of each of the options in its smallest form

2/3 is already in it’s smallest form

4/5 cannot be divided further

4/6 is same as 2/3

8/12 is same as 2/3

1. The first table you create should be to keep track of the flowers you stock in the


flower shop. Use the types of flowers, color, and initial quantity listed in Question 4,


Part I for this table.


I

Answers

Here is an example table for tracking the flowers stocked in the flower shop, based on the information provided in Question 4, Part I:

A flower is the reproductive structure found in flowering plants.

Flower Type Color Initial Quantity

Roses          Red 50

Roses          Pink 30

Tulips         Yellow 25

Tulips          Red 20

Lilies         White 40

Lilies          Pink 15

In this table, each row represents a specific flower type and color, and the initial quantity of that flower type and color that the shop stocks. This table can be used to track inventory levels and monitor when certain types and colors of flowers need to be restocked.

Additional columns can be added as needed to track other information, such as supplier information, purchase dates, or prices.

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Determine if Ginny factored correctly. If not, explain
where she made an error.

Answers

Answer:

The answer is A

Step-by-step explanation:

Which equation is equivalent to ? x + 9 = x + 10 x + 9 = x2 + 20x + 100 x2 + 81 = x2 + 100 x2 + 81 = x2 + 20x + 100.

Answers

The equation  (√x^2+81 = x+10 ) is equivalent to D: ( x^2 + 81 = x^2 + 20x + 100).

To prove that ( √x^2+81 = x+10  )is equivalent to ( x^2 + 81 = x^2 + 20x + 100 ), we will show that one equation is a consequence of the other.

First, we begin by squaring both sides of the equation ( √x^2+81 = x+10 ). This gives us ( x^2+81 = x^2+20x+100 ).

We can see that if ( √x^2+81 = x+10 ) is true, then  (x^2 + 81 = x^2 + 20x + 100)  must also be true because the left side of the equation is the square of the right side.

The other way around, if ( x^2 + 81 = x^2 + 20x + 100 ) is true, then we can take the square root of both sides and get  (√x^2+81 = x+10 ).

So, the equation ( √x^2+81 = x+10 ) is equivalent to ( x^2 + 81 = x^2 + 20x + 100).

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Peter's parents follow a regular schedule for taking care of the car. They change the plugs every 30 000km, rotate the tyres every 10 000km and replace the brake pads blades every 15 000km. After how many kilometers will they have to change the plugs, rotate the tyres and replace the brake pads all at once for the first time?

Answers

The point after 30, 000 km will they first have to change the oil, rotate the tires and replace the wiper blades all at once.

What is Arithmetic Progression?

Arithmetic Progression (AP) is a numerical series in which the difference between any two consecutive numbers is a constant value. Arithmetic Sequence is another name for it.

The First term is an "oil change" with a step d = 3000 km;

and, the second term is tire rotation = 10, 000 Km

and, the third term is replacement of wiper blades = 15, 000 Km

Now, we know from the formula of Arithmetic Progression is

\(a_n\) = \(a_1\)+ d(n-1)

So, 15,000 = 10,000 + 10,000 (n-1)

15, 000 = 10,000 + 10, 000n- 10,000

150000 = 10000n

n = 1.5

This means that at the point 15 000 km and all three progressions will not intersect.

Now, We take the second term of the progression as \(a_n\) = 30,000 km

So, 30,000 = 10,000 + 10,000 (n-1)

20,000 = 10,000n - 10,000

30, 000 = 10,000n

n= 3

Similarly, check this intersection point for the first progression with a step of d = 3 000 km we get n =9.

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