For the following arithmetic sequence, find the value of a and d and hence find the term indicated: - 2 , 2 , 6 , 10 , . . . , t 7. If the first term of an arithmetic sequence is 7 and the 4th term is 28, find the value of d.

G

Solution:

Here,

y+2x=2

y=2-2x

Now,

Putting the value of y

y+4x=0

2-2x+4x=0

2+2x=0

2(1+x)=0

1+x=0

x=-1

Then,

Putting the value of x

y=2x-2

=2×-1-2

=-2-2

=-4

Hence,the solution is (-1,-4)

Answer: if you're solving by x it would be x=43/2

Step-by-step explanation:

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Answer: 4583.33$

Explanation:

55000 / 12

I hope this helped!

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Answer:

n = 2 and a = - 4

Step-by-step explanation:

(1)

- 4n - 8 = 4(- 3n + 2) ← distribute parenthesis

- 4n - 8 = - 12n + 8 ( add 12n to both sides )

8n - 8 = 8 ( add 8 to both sides )

8n = 16 ( divide both sides by 8 )

n = 2

(2)

a - 15 = 4a - 3 ( subtract a from both sides )

- 15 = 3a - 3 ( add 3 to both sides )

- 12 = 3a ( divide both sides by 3 )

- 4 = a

Answer:

umm actually x is equal to 15 cause

5 (15) + 11 = 86 try solving it hope it helps

cause all you had to do is find the value of X

thank me later if it's right, kk?

Answer:

B: 13000 m²

Step-by-step explanation:

To find how much wood is used, we will have to find the surface area of the wooden building.

Formula for surface area of a rectangular pyramid is;

SA = lw + l√(h² + w²/4) + w√(h² + l²/4)

We are given;

l = 100 m

w = 50 m

h = 40 m

Thus;

SA = (100 × 50) + 100√(40² + 50²/4) + 50√(40² + 100²/4)

SA = 5000 + 4717 + 3201.56

SA = 12918.56

Approximating to 2 significant figures gives;

SA = 13000 m²

Answer:

Part A

The 95% confidence interval is approximately 12.66 ≤  [tex]m_R[/tex] - [tex]m_D[/tex] ≤ 13.34

Part B

We are 95% confident that the true difference in the mean amount of waste per dollar stated by the two categories of adults is larger than zero and it is approximately between 12.66 and 13.34

Step-by-step explanation:

Part A

The given parameters are;

The mean amount adults that consider themselves Republican say is wasted for every dollar, [tex]m_R[/tex] = 54 cents

The standard deviation of the statistics, s₁ = 2.9 cents

The number of respondents in the group, n₁ = 513

The mean amount adults that consider themselves Democrats say is wasted for every dollar,   [tex]m_D[/tex]  = 41 cents

The standard deviation of the statistics, s₂ = 2.6 cents

The number of respondents in the group, n₂ = 513

The F-test, F = s₁²/s₂² = 2.9²/2.6² = 1.244

The critical-t, t* = 1.962

F ≤ t*, therefore, we pool the data

[tex]s_p =\sqrt{\dfrac{\left ( n_{1}-1 \right )\cdot s_{1}^{2} +\left ( n_{2}-1 \right )\cdot s_{2}^{2}}{n_{1}+n_{2}-2}}[/tex]

[tex]s_p =\sqrt{\dfrac{\left ( 513-1 \right )\cdot 2.9^{2} +\left ( 513-1 \right )\cdot 2.6^{2}}{513+513-2}} = \sqrt{7.585}[/tex]

The 95% confidence interval is given by the following formula;

[tex]\left (m_R- m_D \right )\pm t^* \cdot s_p \cdot\sqrt{\dfrac{1}{n_{1}}+\dfrac{1}{n_{2}}}[/tex]

The test statistic, is given as follows;

[tex]t = \dfrac{m_R - m_D}{s_p \times\sqrt{ \dfrac{1}{n_1} + \dfrac{1}{n_2}} }[/tex]

Therefore;

[tex]t = \dfrac{54 - 41}{\sqrt{7.585} \times\sqrt{ \dfrac{1}{513} + \dfrac{1}{513}} } \approx 75.598[/tex]

Given that the test statistic, t = 75.598 > The critical-t, t* = 1.962, we reject the null hypothesis, therefore, there is significant statistical evidence to suggest that there is a difference in the mean stated by the two sets

[tex]s_p =\sqrt{\dfrac{\left ( 513-1 \right )\cdot 2.9^{2} +\left ( 513-1 \right )\cdot 2.6^{2}}{513+513-2}} = \sqrt{7.585}[/tex]

[tex]C. I. = \left (54- 41 \right )\pm 1.962 \times \sqrt{7.585} \times \sqrt{\dfrac{1}{513}+\dfrac{1}{513}}[/tex]

The 95% confidence interval, C.I. ≈ 12.66 ≤  [tex]m_R[/tex] - [tex]m_D[/tex] ≤ 13.34

Part B

From the 95% confidence interval, we are 95% confident that the true difference in the mean amount adult who consider themselves Republicans say politicians waste and the true difference in the mean amount adult who consider themselves Democrats say politicians waste is between 12.66 and 13.34

Given that there is no '0' in the range of values in the 95% confidence for the difference in mean from the two groups,  difference in the mean amount of waste per dollar observed by the two categories of adults.

Answer:

Height = 4 ft

Step-by-step explanation:

Base are : 84.3 ft square

Volume : 337.2 square cuboid

Answer:

92

Step-by-step explanation:

plug -4 into the function

3(-4)²-10(-4)+4

48+40+4

92

Answer:

92

Step-by-step explanation:

f(-4)=3(-4)^2-10(-4)+4

=3(16)-10(-4)+4

=48+40+4

=92

Answer:

7x + 2y = 9

Step-by-step explanation:

standard form is always written as:

Ax + By = C

Answer:

Box A

Step-by-step explanation:

Answer:

B is the correct answer

Answer:

D.

Step-by-step explanation:

7×3 = 21.

t × t = t².

y = y.

21t²y.

hope it helps. :)

Answer:

Step-by-step explanation:

C)  3X

Answer: C. 3x

Step-by-step explanation:

Since x and 3x both have x, you can add them together to get 4x (if there is x by itself, it really means that there is one of it, so it would be 1x.)

Then, you subtract 7x by 4x, which gives you the answer, 3x. You could also solving it by asking yourself: What number plus 4x equals 7x, which would give you 3x.

Answer:

A

Step-by-step explanation:

The dot at A is an outlier because it is far outlying the skewed pattern of the data, and is basically isolated from the rest of the data.

Step-by-step explanation:

[tex]x: 77 = 7 : 11 \\x = \frac{77 \times 7}{11} = \\ = 49[/tex]

From the given equivalent ratio the value of x is the number 49.

The ratio is defined as the comparison of two quantities of the same units that indicates how much of one quantity is present in the other quantity.

The given equivalent ratios are x:77=7:11

"Two or more ratios that reflect the same relation or comparison of numbers are known as equivalent ratios," according to the definition of the equivalent ratio. The idea of corresponding fractions is comparable. The term "proportion" also refers to the equivalence of two ratios.

Here, x/77 = 7/11

Multiply both the numerator and denominator of the ratio 7/11 by 7, we get 49/77

Now, x/77 = 49/77

So, x=49

Therefore, the value of x is 49.

To learn more about the ratio visit:

brainly.com/question/13419413.

#SPJ2

Answer:

ST = 44.5 feet

Step-by-step explanation:

sing SOH CAH TOA to solve the problem;

Given

m<T  = 90

m<R = 39 degrees

TR = 55feet

Required

ST = opposite to m<R

TR is the adjacent

tan theta = opp/adj

tan m<R = ST/TR

tan 39 = ST/55

ST = 55tan39

ST  = 55*0.8098

ST = 44.5 feet

Answer:

Experimental study

Step-by-step explanation:

Answer:

y = -3x + 4

Step-by-step explanation:

x   y

0  4

1    1

2  -2

Going down 3 for every increase of x by 1, when x = 0, y = 4

Answer:  $4467.25

Step-by-step explanation:

Exponential decay problem. 8000(0.89)^5.  

100-11 = 89

89/100= 0.89, that is how we got the decimal.

Then, solve.

0.89 * 0.89 * 0.89 * 0.89 * 0.89 = 0.5584059449

0.5584059449 * 8000 = 4467.2475592

Round the decimal part to the nearest hundredth, which is $4467.25.

Answer:

y = 4.

Step-by-step explanation:

I suppose that this question relates to the image that can be seen below.

In the image, the green line represents the exponential function and the blue line represents the linear function.

The y-value after which the exponential function will always be greater than the linear function is the y-value where bot graphs intersect, such that after that point, the blue line starts increasing fast, and is always above the green line.

In this case, this point is the second intersection, and we can see that this intersection happens in the point (2, 4)

Remember that the usual notation for points is (x, y).

Then the y-value after which the exponential function will always be greater than the linear function is y = 4.

Answer:

-60

Step-by-step explanation:

Well just follow the equation from left to right

Add it all up.

Answer:

$15 for 5 cupcakes

Answer:

the slope of the line is .5

Step-by-step explanation:

start at point a and rise 1 and run 2 to point d which makes the slope 1/2

Answer:

Each shirt costed 9 dollars.

Step-by-step explanation:

35+10=45 (initial price)

45/5=9 dollars per shirt

The y-intercept of the line shown is -4.

Answer:

7

Step-by-step explanation;

Rewriting our equation with parts separated:

4+1/7+2+6/7

Solving the whole number parts:

4+2=6

Solving the fraction parts:

1/7+6/7=7/7 (7/7 is a whole number) But first before simplifing, reduce the fraction, 7/7=1/1. Then 1/1=1.

Combining the whole and fraction parts:

(Solving the whole number parts - 6)

(Solving fraction parts - 1)

Answer:

$12.50

Step-by-step explanation:

100%-20% -> $10

80% -> $10

100% -> [tex]\frac{100}{80}[/tex] × $10 = $12.50

Answer:

The original price was $12