Help me with this ,8th grade math look at attachment
100 points

The third term of the sequence is 41.

Given,

Tn = 50 - n²

Tn = 50 - (3)²

Tn = 50 - 6

Tn = 41

As the third term is required substitute the value in the main equation 50 - n² which gives T3 = 41.

As the third term is necessary, replace 50 - n² in the main equation, yielding T3 = 41.

Arithmetic Progression is a series of numbers in which the difference between consecutive terms is constant. One approach is to calculate the arithmetic mean. To do this, sum all the values ​​and divide the sum by the number of values. For arithmetic sequences, use the expression a = a1 + (n1) d. where a is the term, a1 is the difference of the first term, and d is the difference of the subsequent term.

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Justin has sold 5 popsicles so from the original 9 if we take away 5, he has 4 popsicles left to eat.

The assumption that the sample means follow a roughly normal distribution is used to calculate a confidence interval for a population mean with a known standard deviation.

A confidence interval gives a range of values that will probably include the actual mean. For example, let's say that our sample has a mean of x=10 and we have generated the 90% confidence interval (5, 15), with EBM = 5. For instance, we might not be able to speak to everyone in Colorado if we wanted to find out the typical age of Colorado residents who enjoy bananas. However, we could conduct in-depth interviews with a representative sample and make an educated guess or calculation to provide us with a range of ages.

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Answer:

Step-by-step explanation:

ŷ = − 2.6s + 1.1.

residual value = Measured value - Predicted value

Measured value = actual y-coordinate of the point, y

Predicted value = value of y from the equation, y1

residual value = (actual y-coordinate of the point, y) - (value of y from the equation, y1)

residual value = y - y1

For s = 1.3

     y  = 1.2

value of y from the equation, y1:

y1 = -2.6*(1.3) + 1.1

y1 = -3.38 + 1.1

y1 = -2.28

residual value = y - y1

residual value = 1.2 -  -2.28

residual value = 1.2 + 2.28

Since the predicted value is far less than the observed value, the line of best fit underpredicts the temperature change.

Answer:

3.48; The line of best fit underpredicts the temperature change.

Step-by-step explanation:

i took the test :)

Answer:

B

Step-by-step explanation:

All the rest = 3/5, 3 shaded out of 5

:]

Answer:

Step-by-step explanation:

There are 9 squares filled halfway, and 5 squares filled completely.

9 x 0.5 = 4.5

4.5 + 5 = 9.5

There are 25 squares in the shape.

9.5  / 25 = 0.38

38% of the square is shaded.

We identify the proportional relationship because it does not have a constant term, the correct option is:

y = (1/4)x

A proportional relationship between two variables x and y is written as:

y = k*x

Where k is called the constant of proportionality.

Here the options are:

The only option that has not a constant term is the second one:

y = (1/4)*x

And that is the proportional relationship.

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Answer:

y=(1/4)x

Step-by-step explanation:

I took the test :)

The point which describe the rate of change for the line modeled by y = 4/3x+2 would be; C. Vertical change of 4 units for each horizontal change of 3 units

Suppose that the considered linear equation is of the form y=mx+c

Then, when we change x by 1 unit, then:

[tex]y + \delta y = m(x + 1) + c\\mx + c + \delta y = mx + c + m\\\delta y = m[/tex]

where  [tex]\delta y[/tex]  shows the change in y as x changes by 1 unit.

It is found that this change is the value of 'm' called slope of the line this equation represents (each linear equation represents a line).

We have been given that the line modeled by y = 4/3x+2

The slope is given as m = 4/3

The point which describe the rate of change for the line modeled by y = 4/3x+2 would be;

C. Vertical change of 4 units for each horizontal change of 3 units

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Answer: 2/15  in/hour

Step-by-step explanation:

[tex]\displaystyle\\1)\ 6:36=\\\\6\frac{36}{60}=\\\\6\frac{3(12)}{5(12)}=\\\\6\frac{3}{5}=\\\\\frac{6*5+3}{5}=\\\\\frac{30+3}{5}=\\\\\frac{33}{5} \ hours[/tex]

[tex]\displaystyle\\2)\ 9-\frac{33}{5} =\\\\\frac{9(5)-33}{5}=\\\\\frac{45-33}{5} =\\\\\frac{12}{5}\ hours[/tex]

[tex]\displaystyle\\3)\ \frac{8}{25}:\frac{12}{5} =\\\\\frac{8}{25}*\frac{5}{12} =\\\\\frac{8(5)}{25(12)} =\\\\\frac{2*4*5}{5*5*4*3} =\\\\\frac{2}{5*3} =\\\\\frac{2}{15}\ in/hour[/tex]

Considering that the pumpkin is on the ground at x = 0 and x = 50, it is found that:

5. The roots of the quadratic function are: r1 = 0, r2 = 50.

6. The function is written as follows: y = a(x - 0)(x - 50).

7. The leading coefficient is a = -0.0992.

8. The function is: y = -0.0992(x - 0)(x - 50).

9. Applying the distributive property, the function is: y = -0.0992(x² - 50x).

10. The graph is given at the end of the answer.

A quadratic function of roots x' and x'' is defined as follows:

y = a(x - x')(x - x'').

In the context of this problem, the roots are the values of x when the pumpkin is on the ground, hence:

x' = 0, x'' = 50.

Hence, considering the roots, the function is written as:

y = a(x - 0)(x - 50).

The maximum height obtained by the pumpkin is of 62 feet, after a horizontal distance of 25 feet(mean of the roots), hence the vertex is given by these following coordinates:

(25, 62)

The coordinates are used to find the value of a, which is the leading coefficient of the function, as follows:

62 = a(25² - 50 x 25)

62 = -625a

a = -62/625

a = -0.0992.

Then the equation is written as:

y = -0.0992(x - 0)(x - 50).

The distributive property means that the outer term multiplies each the inside terms, and then the common terms are added, hence the function is:

y = -0.0992(x² - 50x).

Which is sketched at the end of the answer.

The pumpkin is on the ground when x = 0 and x = 50.

The maximum height obtained by the pumpkin is of 62 feet, after a horizontal distance of 25 feet.

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Hey there!

[tex]3-3k+7k=5b[/tex]

Assuming you're trying to solve for b or k, I'll solve both.

Solve for b:

[tex]3-3k+7k=5b[/tex]

We will need to flip the equation:

[tex]5b=4k+3[/tex]

Now, let's divide both sides by 5:

[tex]\frac{5b}{5} =\frac{4k+3}{5}[/tex]

[tex]b=\frac{4}{5} k+\frac{3}{5}[/tex]

Solve for k:

[tex]3-3k+7k=5b[/tex]

Let's add -3 to both sides:

[tex]4k+3+-3=5b+-3\\4k=5b-3[/tex]

Now, let's divide both sides by 4:

[tex]\frac{4k}{4} =\frac{5b-3}{4}[/tex]

[tex]k=\frac{5}{4} b+\frac{-3}{4}[/tex]

Now, we've solved for b and k.

Hope this helps!

A triangle is translated 6 units left and then dilated by a factor of 0.5. the statement about the triangle's image and pre-image that is correct is: The image and pre-image are not congruent figures because one of the  transformations is a rigid transformation, and the other is not.

Transformation is a term that refers to movement of an image from one position to the other.

When the intervals or distances between the points of the image being moved is not altered then the transformation is rigid transformation. However when the interval is altered it is a rigid transformation.

Translation is a rigid transformation while dilation is a non rigid transformation.

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Answer: Similar by SAS

Step-by-step explanation:

Note that [tex]\frac{AC}{AB}=\frac{JG}{HG}=\frac{1}{4}[/tex].

So, the triangles are similar by SAS (since the congruent angle is included between the proportional sides).

Simply put, probability is the likelihood that something will occur.When we don't know how an event will turn out, we can discuss the likelihood or likelihood of several outcomes.Statistics is the study of events that follow a probability distribution.

Calculate probability ?

Therefore,

p = 0.43

if, in fact, 43% of shoppers make a purchase before leaving a store;

p = 78/200

=  0.39

if, in a sample of 200 shoppers, 78 make a purchase.

The sample proportion is a random variable that can't be predicted with certainty because it fluctuates from sample to sample.

It will be represented as a random variable by the letter P.

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The two whole numbers  between which is √12 are 3 and 4.

What is an example of a whole number?

Any positive number that does not contain a fractional or decimal component is referred to as a whole number. The numbers 0, 1, 2, 3, 4, 5, 6, and 7 are all whole numbers, for instance, as a result. -3, 2.7, or 3 12 are examples of non-whole numbers.

The closest perfect squares near 12 are 16 and 9 which are the perfect squares of 4 and 3 respectively Therefore the root of 12 lies between 3 and 4.

i.e  3 < √12 < 4

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The coordinates of the other endpoint of the Line segment is (-2,-5).

If M(x.y) divides the line formed by two points A(a,b) and B(c,d) into a ratio m:n. Then the coordinates of the point M can be found out by using the formula,

x = (mc + na)/(m+n)

y = (md + nb)/(m+n)

This above mentioned formula is known as The section Formula.

The one of the End point of the line is (10,-1) and the point (7,-2) is dividing the line in the ratio of 1:3.

Let us assume the other end point to be (a,b).

Now, applying Section Formula,

7 = [(1)(a)+(3)(10)]/4 and

-2 = [(1)(b)+(3)(-1)]/4

Further solving,

a = -2 and

b = -5

So, the coordinates of the endpoint is (-2,-5).

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If you have saved some money to purchase five different songs to download to your portable music device. The inequality that represents the prices you can pay for each song if you have saved no more than 20 dollars is : 5 x ≤ 20.

Given:

Numbers of different songs to download = 5

Cost = $20

Hence,

The inequality  is ; 5 x ≤ 20

Now let solve the inequality

5 x ≤ 20

x = 20 /5

x = 4

So,

=  x ≤ 4

Therefore the inequality is  5 x ≤ 20.

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Answer:

860 degrees

Step-by-step explanation:

-210+210=0

0+650=650

650+210=860

80 : 22 :: x : 11

x = (11 x 80) / 22

x = 880/22

x = 40

The missing number is 40

Answer:

php 40,000

Step-by-step explanation:

In the ratio, Marvin corresponds to 12 and Victor to 2.

Marvin invested php 240,000.

His part of the ratio is 12.

240,000/12 = 20,000

Victor's part in the ratio is 2.

Victor's investment amount is 2 × php 20,000 = php 40,000

Answer:

-32

Step-by-step explanation:

m=3 , n=-1 ( given )

then, -4(m-n)2 = -4(3-(-1))2 = -32

The ratios aren't proportional as D. No, because one ratio reduces to different values.

A ratio is simply used to show the comparison between the numbers that are illustrated in a data.

In this case, the fractions that are given include 46/48 and 69/84.

To have an equivalent ratio, it's important to have the numerator and the denominator divided by the same number.

In this case, this isn't possible with 46/48 and 69/84.

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Answer:

A

Step-by-step explanation:

17 < 9 + x ( subtract 9 from both sides )

8 < x , then

x > 8

Rose walks 3.2 miles every day. How many miles will she have walked in 5 days?

3.2*5 = 16 miles

Christie was on a road trip. She travelled 320.95 miles on day one, 231.45 miles on day two, and 120.32 miles on day three. How many miles did she travel during her three-day trip?

320.95 + 231.45 + 120.32 = 672.72 miles

Hugh drove 774.4 miles. His car averaged 24.2 miles per gallon of gas. How many gallons of gas did the car use?

774.4/24.2 = 32 gallons

Answer: the answer to that problem is

X=2

[tex]\quad \huge \quad \quad \boxed{ \tt \:Answer }[/tex]

[tex]\qquad\displaystyle \tt \rightarrow \: y = \frac{6}{5} x + 1[/tex]

____________________________________

[tex] \large \tt Solution \: : [/tex]

[tex]\qquad\displaystyle \tt \rightarrow \: 5y - 6x = 5[/tex]

[tex]\qquad\displaystyle \tt \rightarrow \: 5y = 6x + 5[/tex]

[tex]\qquad\displaystyle \tt \rightarrow \: y = \frac{6}{5} x + \frac{5}{5} [/tex]

[tex]\qquad\displaystyle \tt \rightarrow \: y = \frac{6}{5} x + 1[/tex]

Answered by : ❝ AǫᴜᴀWɪᴢ ❞

Answer:

yes

Step-by-step explanation:

ac goes straight forever and df does straight forever and they are parallel

Step-by-step explanation:

The length of the band is the number of units it covers

The actual length of the band is: \mathbf{40 + 10\pi}40+10π

The diameter of 1 pencil is given as:

\mathbf{d = 10}d=10

The circumference of 1 pencil is:

\mathbf{C = \pi d}C=πd

So, we have:

\mathbf{C = 10\pi }C=10π

Multiply by 4, to calculate the circumference of all pencils

\mathbf{4C =4 \times 10\pi }4C=4×10π

\mathbf{4C =40\pi }4C=40π

The rubber band covers a quarter of the 4 pencils.

So, we divide by 4

\mathbf{C = 10\pi }C=10π

The length of the band on one pencil is:

\mathbf{L = 10}L=10

Multiply by 4, for the 4 pencils

\mathbf{L = 40}L=40

So, the actual length of the band is:

\mathbf{Length = 40 + 10\pi}Length=40+10π

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The decimal notation of 4.93 x 10³ will be 4930.00.

What is Multiplication?

To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

Given that;

The expression is;

4.93 x 10³

Now, Solve for decimal notation as;

4.93 x 10³ = 4.93 x 10 x 10 x 10

               = 49.3 x 10 x 10

               = 493 x 10

              = 4930.00

Thus, The decimal notation of 4.93 x 10³ will be 4930.00.

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The nth term for the given series is given by 4n-3.

What is meant by series?

The number series is 1, 5, 9, 13, 17,...

Common deviation (d)=5-1=4

A=1 is the first phrase.

A+(n1)d=1+(n1) is the formula for the nth term.

4=4n−3

∴tn =4n−3

The nth term for the given series is given by 4n-3.

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