NEED HELP ON THIS TOO OK PLZ OK THANKS OK

Answer:

The first four terms of the sequence are: {-10,-23,-62,-179}

Step-by-step explanation:

Given recursive formula is:

[tex]a_n = 3a_{n-1}+7[/tex]

First term = a1 = -10

The first term is already known. In order to find the next terms, we will put n=2,3,4 in the recursive formula.

Putting n=2

[tex]a_2 = 3a_{2-1}+7\\a_2 = 3a_1+7\\a_2 = 3(-10)+7\\a_2 = -30+7\\a_2 = -23[/tex]

Putting n=3

[tex]a_3 = 3a_{3-1}+7\\a_3 = 3a_2+7\\a_3 = 3(-23)+7\\a_3 = -69+7\\a_3 = -62[/tex]

Putting n=4

[tex]a_4 = 3a_{4-1}+7\\a_4 = 3a_3+7\\a_4 = 3(-62)+7\\a_4 = -186+7\\a_4 = -179[/tex]

Hence,

The first four terms of the sequence are: {-10,-23,-62,-179}

Answer:

Ai. Common ratio = 2/3

Aii. First term = 54

B. Sum of the first five terms = 422/3

Step-by-step explanation:

From the question given above, the following data were obtained:

3rd term (T3) = 24

6Th term (T6) = 64/9

First term (a) =?

Common ratio (r) =?

Sum of the first five terms​ (S5) =?

Ai. Determination of the common ratio (r).

T3 = ar²

T3 = 24

24 = ar²....... (1)

T6 = ar⁵

T6 = 64/9

64/9 = ar⁵......... (2)

The equation are:

24 = ar²....... (1)

64/9 = ar⁵......... (2)

Divide equation 2 by equation 1.

64/9 ÷ 24 = ar⁵ / ar²

64/9 × 1/24 = r³

8/27 = r³

Take the cube root of both side

r = 3√(8/27)

r = 2/3

Thus, the common ratio is 2/3

Aii. Determination of the first term (a).

T3 = ar²

3rd term (T3) = 24

Common ratio (r) = 2/3

First term (a) =?

24 = a(2/3)²

24 = 4a/9

Cross multiply

24 × 9 = 4a

216 = 4a

Divide both side by 4

a = 216/4

a = 54

Thus, the first term (a) is 54

B. Determination of the sum of the first five terms.

Common ratio (r) = 2/3

First term (a) = 54

Number of term (n) = 5

Sum of first five terms (S5) =?

Sn = a[1 –rⁿ] / 1 – r

S5 = 54[1 – (⅔)⁵] / 1 – ⅔

S5 = 54 [1 – 32/243] / ⅓

S5 = 54 (211/243) × 3

S5 = 54 × 211/81

S5 = 6 × 211/9

S5 = 2 × 211/3

S5 = 422/3

Thus, the sum of the first five terms is 422/3

Answer:

Step-by-step explanation:

Given

[tex]Length = 450\ m[/tex]

[tex]Width = 1200\ m[/tex]

Required

Determine the number of hectares  in this dimension

First, we need to calculate the area of the land

[tex]Area = Length * Width[/tex]

[tex]Area = 450m * 1200dm[/tex]

Convert dm to m

[tex]Area = 450m * 120m[/tex]

[tex]Area = 54 000 m^2[/tex]

[tex]1 hectare = 0.0001m^2[/tex]

So, we have:

[tex]1\ hectare = 0.0001m^2[/tex]

Multiply by 54000

[tex]Hectare = 0.0001 * 54000[/tex]

[tex]Hectare = 5.4[/tex]

Hence, there are 5.4 hectares

Answer: 1/12

Step-by-step explanation:

Answer:

y = 8x + 13

Step-by-step explanation:

slope-intercept form: y = mx + b

Given equation: [tex]y = -\frac{1}{8}x -2[/tex]

Second equation: unknown

Slope: unknown

Given point: (-2, -3)

When two lines are perpendicular, their slopes are negative reciprocals. So, since the slope(m) of the given line is [tex]-\frac{1}{8}[/tex], the slope of the line perpendicular to it is 8.

Now we know the slope of the line. To find the y-intercept, input the values of the slope and the given point into the equation format and solve for b:

y = mx + b

-3 = 8(-2) + b

-3 = -16 + b

13 = b

The y-intercept is 13.

Now that we know the slope and the y-intercept, we can write the equation:

y = 8x + 13

Hope this helps :)

Answer:

ez pts tysm

Step-by-step explanation:

Answer:

a

Step-by-step explanation:

:P

Answer:

Yes, that's right:  the cross section will be a rectangle (but also a parallelogram).

Step-by-step explanation:

The probability that a randomly selected camper likes to have a cookout or swimming, but not both, is 0.10.

The Probability in mathematics is the possibility of an event in time. In simple words, how many times that incident is happening in any given time interval.

The Venn diagram displays the campers’ preferences.

One circle is labeled S, 0.06,

the other circle is labeled C, 0.04,

the shared area is labeled 0.89,

and the outside area is labeled 0.01.

The probability that a randomly selected camper likes to have a cookout or swimming, but not both,

= 0.06 + 0.04

= 0.10

Therefore, 0.10 is the required probability.

To learn more about the probability;

brainly.com/question/11234923

#SPJ5

Answer: 12 1/3

hope this helps.. stay safe and have a great day

Step-by-step explanation:

Answer: 4,405.66

Step-by-step explanation:

Add all the amounts together.

Answer:

25

Step-by-step explanation:

trust me it's right it might be easier if you use paoer

Answer:

no you scam me if I see what is promises I will help you

Answer:

1000000000000000005

Answer:

1000000000000005

Step-by-step explanation:

Answer:

Can give you the example then you have to figure out.

Step-by-step explanation:

We are assuming the center of the tower is at the origin, so we can use the standard form of a horizontal hyperbola centered at the origin: \displaystyle \frac{{x}^{2}}{{a}^{2}}-\frac{{y}^{2}}{{b}^{2}}=1

​a

​2

​​  

​

​x

​2

​​  

​​ −

​b

​2

​​  

​

​y

​2

​​  

​​ =1, where the branches of the hyperbola form the sides of the cooling tower. We must find the values of \displaystyle {a}^{2}a

​2

​​  and \displaystyle {b}^{2}b

​2

​​  to complete the model.

First, we find \displaystyle {a}^{2}a

​2

​​ . Recall that the length of the transverse axis of a hyperbola is \displaystyle 2a2a. This length is represented by the distance where the sides are closest, which is given as \displaystyle \text{ }65.3\text{ } 65.3  meters. So, \displaystyle 2a=602a=60. Therefore, \displaystyle a=30a=30 and \displaystyle {a}^{2}=900a

​2

​​ =900.

To solve for \displaystyle {b}^{2}b

​2

​​ , we need to substitute for \displaystyle xx and \displaystyle yy in our equation using a known point. To do this, we can use the dimensions of the tower to find some point \displaystyle \left(x,y\right)(x,y) that lies on the hyperbola. We will use the top right corner of the tower to represent that point. Since the y-axis bisects the tower, our x-value can be represented by the radius of the top, or 36 meters. The y-value is represented by the distance from the origin to the top, which is given as 79.6 meters. Therefore,

x

2

a

2

−

y

2

b

2

=

1

Standard form of horizontal hyperbola

.

b

2

=

y

2

x

2

a

2

−

1

Isolate  

b

2

=

(

79.6

)

2

(

36

)

2

900

−

1

Substitute for  

a

2

,

x

,

and  

y

≈

14400.3636

Round to four decimal places

The sides of the tower can be modeled by the hyperbolic equation

\displaystyle \frac{{x}^{2}}{900}-\frac{{y}^{2}}{14400.3636 }=1,\text{or}\frac{{x}^{2}}{{30}^{2}}-\frac{{y}^{2}}{{120.0015}^{2} }=1

​900

​

​x

​2

​​  

​​ −

​14400.3636

​

​y

​2

​​  

​​ =1,or

​30

​2

​​  

​

​x

​2

​​  

​​ −

​120.0015

​2

​​  

​

​y

​2

​​  

​​ =1

The shape of hyperbolic cooling tower is a conic section that can be described with a formula equation.

a = 28.5, b ≈ 52.65

[tex]Equation \ of \ hyperbola;\ \dfrac{x^2}{28.5^2} - \dfrac{(y-155)^2}{56.62^2} = 1[/tex]

Reasons:

The parameters of the hyperbolic cooling tower are;

Minimum diameter = 57 feet

The height at which the diameter occurs = 155 ft.

The diameter of the tower = 175 feet

Total height of the tower = 200 feet

Height at which the center of the hyperbola occurs = 155 feet

Solution:

The equation of a hyperbola is; [tex]\dfrac{(x - h)^2}{a^2} - \dfrac{(y- k)^2}{b^2} = 1[/tex]

The center of the hyperbola = (0, 155)

[tex]a = \dfrac{57}{2} = 28.5[/tex]

At y = 155,  

Therefore;

[tex]\dfrac{x^2}{28.5^2} - \dfrac{(y -155)^2}{b^2} = 1[/tex]

At y = 200 feet [tex]x = \dfrac{75 \ feet}{2} = 37.5 \ feet[/tex]

Therefore;

[tex]\dfrac{37.5^2}{28.5^2} - \dfrac{(200 -155)^2}{b^2} = 1[/tex]

b² = 2769.0340909

b ≈ 52.62

The equation of the hyperbola is therefore;

[tex]\dfrac{x^2}{28.5^2} - \dfrac{(y-155)^2}{56.62^2} = 1[/tex]

Learn more here:

https://brainly.com/question/3351710

Answer:

y=2

Step-by-step explanation:

y = 26

If you substitute x for -3 in the equation y = 6x + 8, your equation becomes:

y = 6(-3) + 8 now you can simplify it and solve for y

6 x -3 = -18

18 + 8 = 26

y = 26

Divide 4 wholes by 2/3 pieces to fnd number of pieces.

4 / 2/3

When you divide by a fraction, flip the fraction over then multiply:

4 x 3/2 = (4 x 3)/2 = 12/2 = 6

There are 6 pieces.

Answer:

6

Step-by-step explanation:

lets put this in terms of 3, because of 2/3. the number above the three will be divided by three to get to four. So if we multiply three by four to get twelve, we can put that over 3, and then find our answer. 12/3=4, so we know that is correct. and since we need to find how many 2/3 pieces we need, we divide 12/3 by 2/3 to get 6. so you need 6 2/3 pieces to get four wholes.

Answer:

C. Supplementary angles

Step-by-step explanation:

Supplementary angles always equal 180 degrees.

The answer is (C) because, the sum of both the angle is equals to 180° i.e they are pair of supplementary angles.

The first option is correct.

if we multiply the 34 and 12 so it comes 408

And according to first option, it we add 340 and 68 so it comes 408.

Learn more: brainly.com/question/16911495

Answer:

There are no partial products to this equation. There is only one product! Okay first we will multiply 4 x 6 to get 4 in our ones place, carry the 2 over the zero put the 2 down 4 x 7 is 28 put the 8 down carry the 2, 4 x 3 is 12 + 2 is 14! So you're final product is 14,824!!!

The partial products of the given expression will be ( 3000 x 4 ) + ( 706 x 4 ).

Multiplication is the process of determining the product of two or more numbers in mathematics. A product, or an expression that specifies factors to be multiplied, is what happens when you multiply two numbers in mathematics.

The accepted method for representing both integer and non-integer numbers is the decimal numeral system. Decimal notation is the term used to describe the method of representing numbers in the decimal system.

The given product is 3706 x 4 and can be written as:-

3706 x 4 = [ 3000 x 4 + 706 x 4 ]

Therefore, the partial products of the given expression will be ( 3000 x 4 ) + ( 706 x 4 ).

To know more about multiplication follow

brainly.com/question/10873737

#SPJ2

Answer:

A little over 4 and a half

Step-by-step explanation:

8 divided by 2 (making it one half) is 4 and 7/8 is greater than 1/2

Answer:

the last one is an increase of $.22

Step-by-step explanation:

the last one is an increase of $.22

Answer: 16

Step-by-step explanation:

All you have to do is plug 3.2 into the expression. So 5 * 3.2  is 16.

In 3 hours, one good worker can paint one fourth of your house. Three good workers can thus paint three fourths of your house in three hours, leaving one fourth to be done by bad workers.

One bad worker can paint one twelfth of your house in 3 hours. There are three twelfths in one fourth, so you will need to hire three bad workers to have your house painted on time.

Answer:

It's C

Step-by-step explanation:

In step 2, he should have divided. Have a great day!

Answer:

C: In step 2 he should divide the equation on both sides by 5.

Step-by-step explanation:

Took the test, got it right.

Let x be -b/2a

x = -193/2•(-16)

x = -193/-32

x = 6.03125

Now, plug this value of x into every x in the function and simplify. The max is the y value.

Can you finish?

The time at which the rocket will hit the ground to the nearest hundredth of seconds is 13 seconds.

An algebraic equation of the second degree in x is a quadratic equation. The quadratic equation is written as ax2 + bx + c = 0, where x is the variable, and a must not be zero.

As per the given height of tower y in terms of time is seconds x

y = -16x² + 193x + 128

The height of the tower when the rocket hit the ground will be zero.

Thus, y = 0

0 = -16x² + 193x + 128

16x² - 193x - 128=0

By quadratic equation formula,

x = [-(-193) ± √((-193)²-4×16×(-128))]/ 2×16

x = [193 ± 213.168]/32

x = 12.69 and x = -0.63 since time can be never negative thus 12.69 seconds will be correct.

12.69 to the nearest hundred is 13.

Hence "The time at which the rocket will hit the ground to the nearest hundredth of seconds is 15 seconds".

For more about the quadratic equation,

https://brainly.com/question/17177510

#SPJ5