Please answer this question I give Please answer this question I give brainliest thank you! Number 11

Answer:

Step-by-step explanation:

Answer:

24th term

Step-by-step explanation:

Given

\(S_n = 600\)

\(Sequence:2,4,6,8..\)

Required

Find n

First, calculate common difference d

\(d = 4 -2 = 2\)

Calculate n using:

\(S_n = \frac{n}{2}[2a + (n - 1)d]\)

So:

\(600 = \frac{n}{2}[2*2 + (n - 1)*2]\)

\(600 = \frac{n}{2}[4 + 2n - 2]\)

Multiply by 2

\(120 = n[2 + 2n]\)

\(1200 = 2n^2 + 2n\)

Rewrite as:

\(2n^2 + 2n - 1200 = 0\)

Divide by 2

\(n^2 + n - 600 = 0\)

Solve quadratic equation.

It gives:

\(n = -25\ n = 24\)

Since n can't be negative;

Then

\(n = 24\)

Answer:

I'm guessing it would be 48⁰ since it looks like I was 90⁰ so 90⁰ minus 42⁰ is 48⁰ sorry if its wrong brain is having a brain fart

Answer:

(1,1)

Step-by-step explanation:

Answer:

Step-by-step explanation:

The equation of the line with the given points is y = 6x - 4. This can be derived by calculating the slope of the line, which is 6, and then using the point-slope form of the equation of a line, y - y1 = m(x - x1), where m is the slope and (x1, y1) is a point on the line. In this case, the given points are (x1, y1) = (1, 10), so the equation of the line is y - 10 = 6(x - 1) or y = 6x - 4.

Answer y == 3

+7

Step-by-step explanation:

The graph of a linear relationship contains the points (1, 10) and (3, 16).

Write the equation of the line in slope-intercept fo

Step-by-step explanation:

the general slope-intercept form is

y = ax + b

a is the slope, which is the ratio of "y coordinate change / x coordinate change" when going from one point to another on the line.

b is the y-intercept - the y value when x = 0.

for the slope we see

x changes by +2 (from 1 to 3)

y changes by +6 (from 10 to 16)

so, the slope a is +6/+2 = 3

and the semi-ready equation is

y = 3x + b.

now we use one of the points in the equation to solve for b. I picked (1, 10) :

10 = 3×1 + b = 3 + b

b = 7

so, the full equation is

y = 3x + 7

Answer:

This statement would be true.

Step-by-step explanation:

Answer:

0.6

Step-by-step explanation:

Jessica's family ate six-tenths of the cake she baked.

Convert the 'six - tenths' into a decimal:

\(\frac{6}{10}=0.6\)

'Six - tenths' as a decimal is 0.6.

Hope this helps.

Answer: The product of 6,370*30 is 191,100

Answer:

(10x)^2

Step-by-step explanation:

Answer:

3490 is the perfect square

Answer:

490 is the correct answer

Step-by-step explanation:

By using trigonometry, the missing sides are

Example 1: x = 16.7

Example 2: x = 3.2

Example 3: x = 23.5

Example 4: x = 9.3

From the question we are to determine the value of the missing sides in the given triangles

We can determine the value of the missing sides by using SOH CAH TOA

Example 1

Angle = 42°

Opposite side = x

Hypotenuse = 25

Thus,

sin (42°) = x / 25

x = 25 × sin (42°)

x = 16.7

Example 2

Angle = 75°

Opposite side = 12

Adjacent side = x

Thus,

tan (75°) = 12 / x

x = 12 / tan (75°)

x = 3.2

Example 3

Angle = 36°

Hypotenuse side = x

Adjacent side = 19

Thus,

cos (36°) = 19 / x

x = 19 / cos (36°)

x = 23.5

Example 4

Angle = 53°

Opposite side = x

Adjacent side = 7

Thus,

tan (53°) = x / 7

x = 7 × tan (53°)

x = 9.3

Hence,

The missing sides are 16.7, 3.2, 23.5 and 9.3

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Answer:

no solution

Step-by-step explanation:

If you end up with a false equality, then the initial statement is false, meaning that there are no solutions.

1) If the sales of McDonald's for one year is $650,000 and increasing at 4% annually (exponential growth), their sales after 5 years will be $790,824.

2) If the population of a school is 800 students and is increasing at a rate of 2% per year (exponential growth), after 6 years, the population will be 901.

3) With 70 northern sea otters growing at a rate of 18% annually (exponential growth), after 4 years, the population will be 136.

4) If the annual sales for a furniture stores are $375,000 and increasing (exponential growth) at a rate of 6.75% each year, the sales after 9 years will be $675,060.

5) If the population of Indiana showed an annual growth rate of 0.6% (exponential growth) and their population in 1999 was 273,000, the population in 2007 will be 286,383.

Exponential growth refers to the consistent increase in quantity over time and at a constant growth rate.

Exponential growths are modeled using the exponential growth function y = a(1+r)^t.

1. McDonalds:

y= a(1+r)^t

Where a = $650,000

r = 0.04 (4%)

t = 5 years

Sales after 5 years, y= a(1+r)^t

= $650,000 (1.04)^5

= $650,000 × 1.2166529

= $790,824

2) School Population:

Current population = 800

Annual increasing rate = 2%

a = 800

r = 2%

t = 6 years

Population after 6 years, y= a(1+r)^t

= 800(1.02)^6

=901

3) Northern Sea Otters:

a = 70

r = 18% or 0.18

t = 4 years

Population after 6 years, y= a(1+r)^t

= 70(1.18)^4

= 136

4) Furniture Stores:

a = $375,000

r = 6.75% or 0.0675

t = 9 years

Sales after 9 years, y = a(1+r)^t

= 375,000(1.0675)^9

= $675,060

5) Indiana Population:

a = 273,000

r = 0.6% or 0.006

t = 8 years (2007 - 1999)

Population after 8 years, y = a(1+r)^t

= 273,000(1.006)^8

= 286,383

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Answer: There are 9 mangoes left in the basket.

Step-by-step explanation:

(2/5) * 15 = 6.

15 - 6 = 9.

Approximately 99.7% of scores lie in the shaded region.

We have,

The empirical rule, also known as the 68-95-99.7 rule, provides an estimate of the percentage of scores that lie within a certain number of standard deviations from the mean in a normal distribution.

According to this rule:

Approximately 68% of scores lie within 1 standard deviation of the mean.

Approximately 95% of scores lie within 2 standard deviations of the mean.

Approximately 99.7% of scores lie within 3 standard deviations of the mean.

Now,

In the given scenario, the shaded region represents the area between -2 and 3 standard deviations from the mean on the x-axis.

This encompasses the area within 3 standard deviations of the mean.

And,

Since 99.7% of scores lie within 3 standard deviations of the mean, we can estimate that approximately 99.7% of scores lie in the shaded region.

Therefore,

Approximately 99.7% of scores lie in the shaded region.

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Answer:

a. 2/25 =135/x

Hope it helps  :)

Step-by-step explanation:

Check the picture below.

so the parabolic path of the object is more or less like the one shown below in the picture, now this object has an initial of 1240 ft, as it gets thrown from the ski lift, so from 0 seconds is already higher than 1000 feet.

\(h=-16t^2+32t+1240\hspace{5em}\stackrel{\textit{a height of 1000 ft}}{1000=-16t^2+32t+1240} \\\\\\ 0=-16t^2+32t+240\implies 16t^2-32t-240=0\implies 16(t^2-2t-15)=0 \\\\\\ t^2-2t-15=0\implies (t-5)(t+3)=0\implies t= \begin{cases} ~~ 5 ~~ \textit{\LARGE \checkmark}\\ -3 ~~ \bigotimes \end{cases}\)

now, since the seconds can't be negative, thus the negative valid answer in this case is not applicable, so we can't use it.

So the object on its way down at some point it hit 1000 ft of height and then kept on going down, and when it was above those 1000 ft mark  happened between 0 and 5 seconds.

(a) The probability for f(x) = 1/12 for 0<x<12 is found using a uniform probability density function with a=0 and b=12, resulting in Pr(0.7<x<1.7) = 0.0833.

(b) To find Pr(0.7<x<1.7) for f(x) = 5e⁻⁵ˣ for 0<x, the pdf is integrated from 0.7 to 1.7, resulting in 0.0742.

(c) Pr(0.7<x<1.7) for f(x) = (3/7)x² for 1<x<2 is found by integrating the pdf from 0.7 to 1.7, resulting in 0.461.

(d) For the piecewise function f(x) = x for 0<x<1, f(x) = 2-x for 1<x<2, and 0 otherwise, Pr(0.7<x<1.7) is found by splitting the integral into two parts, resulting in 0.6005.

(a) Since f(x) is constant between 0 and 12, it is a uniform probability density function with a = 0 and b = 12. Thus, the probability is the area of the rectangle bound by 0.7 and 1.7, divided by the total area of the rectangle bound by 0 and 12:

Pr(0.7 < x < 1.7) = (1/12) * (1.7 - 0.7) = 0.0833

(b) To find the probability for this exponential distribution, we need to integrate the pdf from 0.7 to 1.7:

Pr(0.7 < x < 1.7) = ∫[0.7,1.7] 5e⁻⁵ˣ dx

= [-e⁻⁵ˣ]₀.₇⁻¹.⁷

= -e⁸.⁵ + e³.⁵

= 0.0742

(c) Again, we integrate the pdf from 0.7 to 1.7:

Pr(0.7 < x < 1.7) = ∫[0.7,1.7] (3/7)x² dx

= [(1/7)x³]₀.₇⁻¹.⁷

= (1/7)(1.7³ - 0.7³)

= 0.461

(d) This pdf has a piecewise function with a discontinuity at x = 1. To find the probability for this distribution, we split the integral into two parts:

Pr(0.7 < x < 1.7) = ∫[0.7,1] x dx + ∫[1,1.7] (2 - x) dx

= [(1/2)x²]₀.₇¹ + [(2x - (1/2)x²)]₁¹.⁷

= (1/2)(1² - 0.7²) + [(2(1.7) - (1/2)(1.7)²) - (2(1) - (1/2)(1)²)]

= 0.6005

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Complete question:

Problem 7-10 For each random variable having the following probability density functions, determine Pr(0.7 < x < 1.7)

(a) f(x)=1/12 for all 0 < x < 12

Probability = ?

(b) f(x)=5e⁻⁵ˣ for all 0 < x

Probability = ?

(c) f(x)=(3/7)x² for all 1 < x < 2

Hint: Be careful with the lower limit of your integral.

Probability = ?

(d) f(x)=x for all 0 < x < 1

f(x)=2-x for all 1 < x < 2

f(x)=0 otherwise

Probability = ?

Answer:Felix's total tax due is "$560".

According to the question,

Gross income,

$18,000

Standard deduction,

$12,400

Now,

The taxable income will be:

=  

=  

=  ($)

hence,

The tax due will be:

=  

=  

=  ($)

Thus the above approach is right.

Answer

$21.70

Step-by-step explanation:

Answer:

If they can be the same fraction, like 2/3 + 2/3, then yes. If they can have different denominators, like 4/5 + 1/2, then yes. Any other way is no.

Step-by-step explanation:

The same fraction (2/3 + 2/3) will equal 4/3, which is more than 1.

Different denominators (4/5 + 1/2) will equal 13/10, which is more than 1.

Nd if I'm wrong, my bad. I really tried.

\(let \: x \: be \: the \: length \\ let \: y \: be \: the \: width\)

\(perimeter = 2x + 2y \\ area = xy\)

\(2x + 2y = 80 \\ xy = 380 \\ \\ x + y = 40 \\ xy = 380 \\ \\ x = 40 - y \\ (40 - y)y = 380 \)

\(40y - y {}^{2} = 380 \\ y {}^{2} - 40y + 380 = 0 \\ y {}^{2} - 40y + 400 = 20 \\ (y - 20) {}^{2} = 20 \\ y - 20 =± \sqrt{20} \\ y_{1}=20-√20≈15.52786\\ y_{2}=20+√20≈24.4721\)

Answer:

Solve for x

x ≤ −4 or x ≥ 4

Answer:

-2,1,6,13,22

Step-by-step explanation:

cn = n^2 -3

Let n=1

c1 = 1^2 -3 = 1-3 = -2

Let n=2

c2 = 2^2 -3 = 4-3 = 1

Let n=3

c3 = 3^2 -3 = 9-3 = 6

Let n=4

c4 = 4^2 -3 = 16-3 = 13

Let n=5

c5 = 5^2 -3 = 25-3 = 22

Based on the information, there are 25 cars with good brakes and good tires.

Total cars = 50

Cars with faulty brakes = 10

Cars with faulty tires = 15

Cars with faulty brakes and good tires = 2

Let's calculate the number of cars with good brakes and good tires:

Cars with faulty brakes or faulty tires = Cars with faulty brakes + Cars with faulty tires - Cars with faulty brakes and good tires

= 10 + 15 - 2

= 25

Cars with good brakes and good tires = Total cars - Cars with faulty brakes or faulty tires

= 50 - 25

= 25

Therefore, there are 25 cars with good brakes and good tires.

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Step-by-step explanation:

The definite integral of sin^5(x)dx from 0 to pi/2 can be evaluated using the method of substitution.

Let u = sin(x), then du = cos(x)dx

The integral becomes:

∫sin^5(x)dx = ∫u^5du from 0 to sin(π/2)

= (u^6)/6 evaluated at sin(π/2) and 0

= (sin^6(π/2))/6 - 0

= (1^6)/6

= 1/6

So, the definite integral of sin^5(x)dx from 0 to pi/2 is equal to 1/6.

Answer:

294 cm^2

Step-by-step explanation:

This question is asking for the surface area of all 6 sides of the Shoe box. Hence we will have to multiply all the dimensions with each other twice to get the surface area of all the sides.

9x10x2=180

9x3x2=54

10x3x2=60

Adding them together we get 294 cm^2.