b(n)=-8-2(n-1)
Find the 9th term

Answers

Answer 1

Answer:

The 9th term will be -24

Step-by-step explanation:

The 9th term will be equal to

[tex]b_{n}[/tex] = - 8 - 2(n - 1)

[tex]b_{9}[/tex] = - 8 - 2(9 - 1)

[tex]b_{9}[/tex] = - 8 - 18 + 2

[tex]b_{9}[/tex] = - 24


Related Questions

The perimeter of a rectangle is 32 meters. The length is 5 less than twice the width. Find the length and the width of the rectangle.
length:___ Width:____

Answers

Let x and y be the length and width of the rectangle respectively
2(x+y)=32...(1)
x=2y-5...(2)

From (1),we have
2x+2y=32...(3)

By sub.(2) into (3),we have
2(2y-5)+2y=32
4y-10+2y=32
6y=42
y=7

By sub.y=7 into (2),we have
x=2*7-5
x=14-5
x=9

Length =9m
Width =7m

Write the following expression in simplest radical form. Plz help

Answers

Answer:[tex]4x^{3}[/tex][tex]\sqrt[3]{25x^{2} }[/tex]

Step-by-step explanation:

Write the equation for the inverse of the function. y=Arctan (x+pi/2)

Answers

There’s no inverse for this function but d/dx is (1/((x+(pi/2))^2 +1)

Answer:

the answer is B

Step-by-step explanation:

What are the 2 inequality’s?

Answers

Answer:

y≥-1/3+2

y≥2/3-2

Step-by-step explanation:

7.88 as a percent student

Answers

788% gdkgdkgdkgdkgdkgdkgdk

Which of the following could represent the question: How many 4/9s are in 6/5 as a multiplication equation?
x*4/9=6/5
x*6/5=4/9
6/5*4/9=x
4/9*6/5=x

Answers

Answer:

Step-by-step explanation:

I am pretty sure it’s 4/9 * 6/5 = x

( I think it’s this )

A stapler weighs 8.82 ounces. For every 1 pound, there are 16 ounces.
How many pounds does the stapler weigh, rounded to the nearest hundredth?

Answers

Answer:

0,55

Step-by-step explanation:

1 pound= 16 ounces

8.82 ounces= 8.82/ 16= 0.55 pound

What ^ that person said

Factor the trinomial by guess and check

2c^2 - 14c+20

Answers

[tex]2c^2-14c+20=0 \\ c^2-7c+10=0 \\ (c-2)(c-5)=0 \\ c_1=2,c_2=5[/tex].

ME AJUDEM PFVV!!(CONTA NA FOTO)

Answers

(espero que esto ayude) La respuesta es D que es [tex]\frac{2}{3}[/tex]

Anyone 100% know dis for me I’m having a struggle

Answers

Can you write it down I can’t see any of the numbers or words

Evan is signing up for a gym membership with a one-time fee to join and then a monthly fee to remain a member. The total cost of the gym membership over tt months is given by the equation C=40t+125.C=40t+125. What is the slope of the equation and what is its interpretation in the context of the problem?

Answers

Answer:

the slope of the function is 40 which represents the monthly fee to remain a mrmber.

Step-by-step explanation:

THE SLOPE IS THE COEFFICIENT OF THE INDEPENDENT VARIABLE

C= 40t + 125

I’m so confused, how do I do this?

Answers

Answer:

x = 14

Step-by-step explanation:

These angles are vertical each other, another way of saying they are opposite each other in an X. Since these angles are vertical, they are equal!

60 = 5x - 10 | Given, from here on is basic algebra

70 = 5x | Add 10 to both sides

14 = x | Divide both sides by 5

What is the value of the constant in the equation that relates the hey width of the rectangle

Answers

Answer: 2

Step-by-step explanation:

as H=20 and W=10

So H=constant.(W)

H=2(10)

H=20

So constant is 2


Katy invests £200 000 in a savings account for 4 years. The account pays compound interest
at a rate of 1.5 % per annum.
Calculate the total amount of interest Katy will get at the end of 4 years

Answers

Answer:

212272.71

Step-by-step explanation:

we have the following equation (for interesting that compound yearly)

PV(1+i)^n

200000(1+.015)^4

212272.71

The total amount of interest Katy will get at the end of 4 years is £12,272.71

Compound interestCompound interest is the addition of interest to the principal sum of a loan or deposit, or in other words, interest on principal plus interestCompound interest refers to the phenomenon whereby the interest associated with a bank account, loan, or investment increases exponentiallyrather than linearlyover time.Compound interest (or compounding interest) is the interest on a loan or deposit calculated based on both the initial principal and the accumulated interest from previous periods

How to solve this problem?

The steps are as follow:

Given:

p = £200 000

r = 1.5%

n = 4 years

Formula to find Amount (A) after 4 years will as follow:

A = p(1+r/100)ⁿ

A = 200000(1+1.5/100)⁴

A = 212,272.71 £

The compound interest is given by:

C.I. = A - p

C.I. = 212,272.71 - 200,000

C.I. = £12,272.71

So the  total amount of interest Katy will get at the end of 4 years is £12,272.71

Learn more about Compound interest here:

https://brainly.com/question/24924853

#SPJ2

. 32+4 X (16 X �) -2
pls help

Answers

Answer:

94

Step-by-step explanation:

Write the equation of the line that passes through the point (-2,7) and is parallel to the line y= -4x+1.

Answers

Answer:

y = -4x - 1

Step-by-step explanation:

Parallel lines have same slope

y = -4x + 1    {Compare y = mx + b; m ->slope; b - y-intercept}

m = -4 ; (-2 ,7)

y - y1 = m(x - x1)

y - 7 = -4(x - [-2])

y -7 = -4(x + 2)

y -7 =x *(-4) + 2*(-4)

y -7 = -4x - 8

    y = -4x - 8 + 7

   y = -4x - 1

The formula V equals S to the third power gives the volume V of a cube with the side length S the volume of a cube that has a side length of 3 inches is__?__ inches cubed

Answers

Answer:

27

Step-by-step explanation:

The formula for the volume of a cube is given as [tex]V=s^{3}[/tex]. if s=3in, then V=27inches cubed.

help plss helppppppppppppppppppppppppppppppppppppppppp

Answers

Answer:

okkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkk

Step-by-step explanation:

answer mujha nahi pata aaaaaaaaaàaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa

In a right triangle, the measures of the legs are x and x + 14 and the measure of the hypotenuse is x + 16. Find the measure of x.

Answers

Answer:

[tex]x=10[/tex]

Step-by-step explanation:

We can use the Pythagorean Theorem:

[tex]a^2+b^2=c^2[/tex]

The two legs are x and (x + 14) and the hypotenuse is (x + 16). Therefore:

[tex](x)^2+(x+14)^2=(x+16)^2[/tex]

Expand:

[tex]\displaystyle x^2+(x^2+28x+196)=x^2+32x+256[/tex]

Combine like terms:

[tex]2x^2+28x+196=x^2+32x+256[/tex]

Subtract the right from the left:

[tex](2x^2+28x+196)-(x^2+32x+256)=0[/tex]

Subtract:

[tex]x^2-4x-60=0[/tex]

Factor:

[tex](x-10)(x+4)=0[/tex]

Zero Product Property:

[tex]x-10=0\text{ or } x+4=0[/tex]

Solve:

[tex]\displaystyle x = 10 \text{ or } x = -4[/tex]

The x cannot be negative since a side cannot measure -4. So, our only answer is:

[tex]x=10[/tex]

So, the legs are 10 and 24 with the hypotenuse being 26.

5.16 = 4n What the answer

Answers

Answer:

n=1.29

Step-by-step explanation:

Is there more options?

≻───── ⋆✩⋆ ─────≺

Answer:

[tex]5.16 = 4n[/tex]

[tex]\frac{5.16}{4} = \frac{4n}{4}[/tex]

Divide Both Sides by 4

[tex]n=1.29[/tex]

Hope this helps!

-Fishylikeswater

A physical education department wanted a single test of upper body strength that was easy to administer. Dips on the parallel bars and pull-ups on the horizontal bar were considered good tests. One faculty member thought that both tests were not needed because the correlation between the two was probably high. To evaluate this assumption, 141 students were tested on both criteria. The faculty member let X represent dips on the parallel bars and Y represent pull-ups and calculated the following from the data:

ΣX = 3,416, ΣY = 1,899, SDX = 8.84, SDY = 4.70, ΣZXZY = 109.416.

Calculate the following:

a. The mean of each variable
b. The correlation between the two variables
c. The level of confidence and the p value reached by the coefficient
d. The predicted number of pull-ups for a student who performed 20 dips
e. The standard error of the estimate
f. The predicted range of possible pull-up scores at the 95% LOC for a student who performed 20 dips

Answers

Answer:

24.23 ; 13.47 ; 0.782 ; p value < 0.00001 ;7.45

Step-by-step explanation:

Given that :

ΣX = 3,416, ΣY = 1,899, SDX = 8.84, SDY = 4.70, ΣZXZY = 109.416

Sample size, N = 141

Mean of X:

£X / N = 3416 / 141 = 24.23

Mean of Y:

£Y / N = 1899 / 141 = 13.47

B.) Correlation between the 2 variables :

£ZXZY / N - 1

= 109.416 / 140

= 0.782

C.)

Level of significance and p value :

T = [Rsqrt(n-2)] ÷ sqrt(1 - R²)

T = [0.782 * sqrt(139)] ÷ sqrt(1-0.782^2)

T = 14.79

P value from Tscore calculator

Df = 141 - 2 = 139 ; α = 0.05

Pvalue = 0.00001

Pvalue < α ; Hence, a significant positive relationship exists.

To obtain regression model :

Slope = £ZXZY / SDX²

m = 109.416 / 8.84^2 = 1. 4

yintercept = meanY - slope*x

yintercept = 13.47 - 1.4*24.3

yintercept = - 20.55

Equation in slope intercept form:

y = mx + c

y = 1.4x - 20.55

For x = 20

y = 1.4(20) - 20.55

y = 7.45

Please I’ll do anything I’m begging

Answers

Answer:

14√2

Step-by-step explanation:

This is a 45-45-90 triangle

Because both of the angles are the same all sides, but the hypotonouse are the same

this means that the other length is 14 too

we can use a²+b²=c² to solve

14²+14²=c²

=

392=c²

√392=c

√392=14√2

How are 4.730 and 4.73 eqivalent

Answers

Answer:

The zero means nothing, it's just being used as a placeholder, like .7 and 0.7 mean the same thing.

good luck, i hope this helps :)

4.730 and 4.73 are equivalent because 0 has no value therefore if 0 has no value and you take away the 0 than you get 4.73 and 4.73.

Write an equivalent fraction to 3/7 that has a denominator of 28.

Answers

answer is

[tex] \frac{12}{28} [/tex]

12/28 will be the answer

A tank is filled with 1000 liters of pure water. Brine containing 0.08 kg of salt per liter enters the tank at 6 liters per minute. Another brine solution containing 0.09 kg of salt per liter enters the tank at 5 liters per minute. The contents of the tank are kept thoroughly mixed and the drains from the tank at 11 liters per minute.
A. Determine the differential equation which describes this system. Let SG) denote the number of kg of salt in the tank after t minutes. Then ds/dt=_____.
B. Solve the differential equation for S(t).

Answers

Answer:

The answer is below

Step-by-step explanation:

Let s(t) represent the amount of salt in the tank at time t. Therefore:

ds / dt = (rate of salt flowing into the tank) - (rate of salt going out of the tank)

[tex]\frac{ds}{dt}=[(0.08\ kg/L*6\ L/min)+(0.09\ kg/L*5\ L/min)]-(\frac{s\ kg}{1000\ L}*11\ L/min ) \\\\\frac{ds}{dt}=(0.48\ kg/min+0.45\ kg/min)-(\frac{11s}{1000}\ kg/min )\\\\\frac{ds}{dt}=0.93\ kg/min-\frac{11s}{1000}\ kg/min \\\\\frac{ds}{dt}=\frac{930-11s}{1000}\ kg/min \\\\\frac{ds}{930-11s}=\frac{1}{1000}dt\\\\Integrating:\\\\\int\limits { \frac{ds}{930-11s}} \, ds=\int\limits {\frac{1}{1000}} \, dt\\\\-\frac{1}{11}ln(930-11s)=\frac{t}{1000}+C\\\\multiply\ through\ by\ -11:[/tex]

[tex]ln(930-11s)= - \frac{11t}{1000}+A\\\\Take \ exponential:\\\\930-11s=e^{ - \frac{11t}{1000}+A}\\\\930-11s=C_1e^{ - \frac{11t}{1000}}\\\\11s=930-C_1e^{ - \frac{11t}{1000}}\\\\s=\frac{930-C_1e^{ - \frac{11t}{1000}}}{11} \\\\To \ find\ C_1,s(0)=0.Hence:\\\\0=\frac{930-C_1e^{ - \frac{11(0)}{1000}}}{11} \\\\0=930-C_1\\\\C_1=930\\\\s(t)=\frac{930-930e^{ - \frac{11t}{1000}}}{11} \\\\s(t)=930(\frac{1-e^{ - \frac{11t}{1000}}}{11})[/tex]

A) So, the required value is [tex]1.01-\frac{11S}{1000}[/tex].

B) The required value is [tex]\frac{1010}{11} (1-e^{-11/1000t} )[/tex]

Differential Equation:

A differential equation is an equation that contains one or more terms and the derivatives of one variable (i.e., dependent variable) with respect to the other variable (i.e., independent variable).

                                                    [tex]\frac{dy}{dx} =f(x)[/tex]

(A) Let [tex]S(t)[/tex] denotes the number of kg of the salt in the tank at the time [tex]t[/tex] minutes.

Then,

[tex]\frac{ds}{dt}=[/tex](rate of salt in to tank)-(rate of salt of tank)

[tex]\frac{ds}{dt}=\left ( 0.08\times 0.09\times 5 \right )-\left ( \frac{s\left (t\right )}{1000}\times 11 \right ) \\ \therefore \frac{ds}{dt}=1.01-\frac{11S}{1000}[/tex]

(B)

[tex]\frac{ds}{dt}=\frac{101}{100}-\frac{11S}{1000} \\ \Rightarrow \frac{ds}{dt}=\frac{1010-11S}{1000} \\ \Rightarrow \frac{ds}{1010-11S}=\frac{dt}{1000}[/tex]

Integrating we get,

[tex]-\frac{1}{11}I_n|1010-11S|=\frac{t}{1000}+In \ C_1 \\ \Rightarrow 1010-11S=C_1e^{-11/1000t} \\ S(t)=\frac{1010-C_1e^{-11/1000t}}{11}[/tex]

Initially, [tex]S(0)=0\\\Rightarrow C_1=1010[/tex]

Then the required solution is,

[tex]\therefore S(t)=\frac{1010}{11} (1-e^{-11/1000t} )[/tex]

Learn more about the topic of Differential Equation: https://brainly.com/question/24546081

Melanie needs to write the number eighteen and eighty-one thousandths as a decimal in her computer program.How should she write this number in standard form.

Answers

Answer:

18.081

Step-by-step explanation:

I'm pretty sure it's this.

Marley and Kaitlyn are making duct tape wallets to sell at a craft fair
to make money for summer camp. They made 20 wallets over
the weekend. The need to make 125 wallets by the end of the
week. What percent of the wallets did they make over the
weekend?

Answers

Answer:

16%

Step-by-step explanation:

20/125 = 0.16

0.16 x 100 = 16% (multiply by 100 to get a percentage)

In a school, 130 students are sixth graders. If 52% of the students in the school are sixth graders, how many students are there in the school?

Answers

Answer:

250

Step-by-step explanation:

52%-> 130

100%-> 250

Subtract. Write your answer in simplest form.

5 1/2- 1 2/7

Answers

Answer:

5 1/2- 1 2/7

11/2-9/7

(11×7-9×2)/14

59/14

4 3/14

I NEED HELP ASAP PLS PLS

Answers

Answer:

im not sure sorry try asking an addalt

Step-by-step explanation:

nu4

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