Solve the following equation for x.

|x/4+3|<6

Answer:

[tex]cos(-\theta) = -0.73[/tex]

Step-by-step explanation:

It is given that:

[tex]sin(\theta -\dfrac{\pi}{2}) = 0.73[/tex]

Formula to be used:

[tex]1.\ sin(-x) = -sinx\\2.\ sin(\dfrac{\pi}{2}-x) = cosx\\3.\ cos(-x) = cosx[/tex]

Using Formula (1) written above:

[tex]\Rightarrow sin (\theta - \dfrac{\pi}{2})=sin(-(\dfrac{\pi}{2}-\theta ))\\\Rightarrow -sin(\dfrac{\pi}{2}-\theta)[/tex]

Now, using Formula (2) written above:

[tex]\Rightarrow -sin(\dfrac{\pi}{2}-\theta) = -cos \theta[/tex]

So, we can say that:

[tex]sin(\theta -\dfrac{\pi}{2}) = -cos\theta = 0.73 ...... (1)[/tex]

We have to find the value of [tex]cos(-\theta)[/tex].

Using Formula (3) written above:

[tex]cos(-\theta) = cos\theta[/tex]

So, ultimately we need to find the value of [tex]cos\theta[/tex]

Using equation (1):

[tex]-cos\theta = 0.73\\\Rightarrow cos\theta = -0.73[/tex]

So, the answer is [tex]cos(-\theta) = -0.73[/tex].

Answer:

The one with the better deal would be 30 ride tickets for $22.50 this is because you pay less money for more rides.

Step-by-step explanation:

First you divide 20 by 14. Doing this will give you the cost of a ride per ticket.

20/14 = 1.42

Then you do the same thing to 30 and 22.50.

30/22.50 = 1.30

Last you compare which deal has less money per ride.

1.42 > 1.30

Answer:

(A)[tex]2^n[/tex]

Step-by-step explanation:

Given a set with "n" number of elements, the collection of all subsets of the set is referred to as the Power set of the given set.

To find the  number of possible subsets of any set, we use the formula: [tex]2^n[/tex]

Take for example the set: A={2,3,4)

A has 3 elements, therefore n=3

The number of possible subsets of A is: [tex]2^3=8$ subsets[/tex]

Answer: (b) 15.07 to 19.93 miles

Step-by-step explanation:

Confidence interval is written in the form,

(Sample mean - margin of error, sample mean + margin of error)

The sample mean, x is the point estimate for the population mean.

Margin of error = z × s/√n

Where

s = sample standard deviation = 3.8

n = number of samples = 20

From the information given, the population standard deviation is unknown and the sample size is small, hence, we would use the t distribution to find the z score

In order to use the t distribution, we would determine the degree of freedom, df for the sample.

df = n - 1 = 20 - 1 = 19

Since confidence level = 99% = 0.99, α = 1 - CL = 1 – 0.99 = 0.01

α/2 = 0.02/2 = 0.005

the area to the right of z0.005 is 0.025 and the area to the left of z0.025 is 1 - 0.005 = 0.995

Looking at the t distribution table,

z = 2.861

Margin of error = 2.861 × 3.8/√20

= 2.43

the lower limit of this confidence interval is

17.5 - 2.43 = 15.07 miles

the upper limit of this confidence interval is

17.5 + 2.43 = 19.93 miles

Answer:

The first one matches with f(x)√x because a square root cannot be negative

The second one matches with f(x)=√(x-5) because the square root would be negative if it were less than five.

The third one matches with f(x)=8x because there is nothing that makes it a not possible answer

The last one matches with 7/(x-8) because there cannot be a denominator of zero.

Answer: C ( yes, both lines have a slope of 2/3. )

Step-by-step explanation:

Answer: C

Step-by-step explanation:

Answer:

Step-by-step explanation:

To find the Taylor series of sinc(x) we will use the taylor series of sin(x). We have that

[tex]\sin(x) = \sum_{n=0}^{\infty}\frac{(-1)^n x^{2n+1}}{(2n+1)!}[/tex]

which is the taylor series expansion based at 0. Then for [tex]x\neq 0[/tex], by dividing both sidex by x, we have that

[tex]\text{sinc}(x) = \frac{\sin(x)}{x}= \sum_{n=0}^{\infty}\frac{(-1)^n x^{2n}}{(2n+1)!}[/tex]

which is the taylor series expansion for the sinc function. Since the series of sine converges for every value of x. Then the taylor series of sinc converges for every value of x, but 0.

Answer:

0.5 or C on edge2021

Step-by-step explanation:

The multiplicative rate of change of the function will be:

The multiplicative rate of change is the common factor that the numbers can be multiplied with to get the succeeding figures.

For instance, if 0.25 is multiplied by 0.5, the result will be 0.125. Also, if 0.125 is multiplied by 0.5, the result will be 0.0625.

Learn more about the multiplicative rate of change here:

https://brainly.com/question/4319809

#SPJ9

Answer:

Step-by-step explanation:

Sometimes problems of this nature are easily worked by considering groups of items. Here, it is convenient to consider a group as 1 hot dog and 3 sodas, so the number of sodas in the group is 3 times the number of hotdogs in the group.

Each group is 4 items, so 152/4 = 38 groups were sold.

In the 38 groups, there were 38 hot dogs and 3×38 = 114 sodas.

114 sodas and 38 hot dogs were sold.

Answer:

The range of the random variable is {0, 1, 2}.

Step-by-step explanation:

The bag contains red and blue marbles.

The experiments consists of two draws, with reposition.

The random variable assigns the number of blue  marbles to each outcome.

If we have only two draws, we can only get 0, 1 or 2 blue marbles.

The range of the random variable is {0, 1, 2}.

Answer:

(a) -2,0 and 2,5 and (b) 2,-1 and 10,9

Question:

The question is incomplete without the answer choice. Let's consider the following:

A line has a slope of -4/5. Which ordered pairs could be points on a line that is perpendicular to this line? select two options

a) -2,0 and 2,5

b) -4,5 and 4,-5

c) -3,4 and 2,0

d) 1,-1 and 6,-5

e) 2,-1 and 10,9

Step-by-step explanation:

The ordered pairs that could be points on a line that is perpendicular to this line would have same slope as that of the line.

Let's check out the slope of the options.

The line has slope = -4/5

Slope = m = (y subscript 2 -y subscript 1)/(x subscript 2 - x subscript 1)

The coordinates is in the form of (x,y)

Find attached the workings.

a) -2,0 and 2,5

m = 5/4

b) -4,5 and 4,-5

m = -5/4

c) -3,4 and 2,0

m = -4/5

d) 1,-1 and 6,-5

m = -4/5

e) 2,-1 and 10,9

m = 5/4

Two lines are perpendicular if (m subscript 1) × (m subscript 2) = -1

In other words, the slopes

of the two lines must be negative reciprocals of each other.

If 1st slope = -4/5

For the lines to be perpendicular, the slope of every other line = 5/4

2nd slope = 5/4

The ordered pairs that are points on the line perpendicular to the line:

(a) -2,0 and 2,5 and (b) 2,-1 and 10,9

Answer:AandE

Step-by-step explanation:

Answer:

6163.2 years

Step-by-step explanation:

A_t=A_0e^{-kt}

Where

A_t=Amount of C 14 after “t” year

A_0= Initial Amount

t= No. of years

k=constant

In our problem we are given that A_t is 54% that is if A_0=1 , A_t=0.54

Also , k=0.0001

We have to find t=?

Let us substitute these values in the formula

0.54=1* e^{-0.0001t}

Taking log on both sides to the base 10 we get

log 0.54=log e^{-0.0001t}

-0.267606 = -0.0001t*log e

-0.267606 = -0.0001t*0.4342

t=\frac{-0.267606}{-0.0001*0.4342}

t=6163.20

t=6163.20 years

PLEASE MARK BRAINLY

Answer:

9

Step-by-step explanation:

"5.2 times a number is 46.8" as an equation is:

[tex]5.2*n=46.8[/tex]

Solve for 'n':

[tex]5.2*n=46.8\\5.2/5.2*n=46.8/5.2 \leftarrow \text {Division Property of Equality} \\\boxed {n=9}[/tex]

Answer:

A . 0.85 + (0.15 +(-3)) = -2

B . [(-3)+(-3)]+(-3) = - 9

Step-by-step explanation:

Explanation:-

Associative  property with addition

(a+(b+c)) = (a+b) + c

A)

Given 0.85 + (0.15 +(-3)) = (0.85 +0.15)+(-3)

                                       = 1 - 3

                                       = -2

B)  Given [(-3)+(-3)]+(-3) = ( (-3)+[( -3)+(-3))]

                                     = ( -3 +[-3-3]

                                    =  -3 -6

                                    = -9

Final answer:-

A . 0.85 + (0.15 +(-3)) = -2

B . [(-3)+(-3)]+(-3) = - 9

Answer:

d = 2[tex]\sqrt{17}[/tex]

Step-by-step explanation:

P1 (-5, 4) P2 (-3, -4)

Use the distance formula: d = [tex]\sqrt{(x2 - x1)^{2} + (y2 - y1)^{2} }[/tex]

Plug in the values and simplify

d = [tex]\sqrt{(-3 + 5)^{2} + (-4 -4)^{2} }[/tex]

d = [tex]\sqrt{(2)^{2} + (-8)^{2} }[/tex]

d = [tex]\sqrt{4 + 64 }[/tex]

d = [tex]\sqrt{68}[/tex]

d = 2[tex]\sqrt{17}[/tex]

I hope this helps :)

Answer: scalene and right

Step-by-step explanation:

Answer:

Find g(f(−1)).

g(f(−1)) =  64

Find f(g(−1)).

f(g(−1)) = -6

f(g(−1)) is - 8.

A composite functions is a function where two or more than two functions are combined.The output of the previous function is the input of the next function.

According to the given question we have to find a composite function.

Assuming f(x) = x² + 9x and g(x) = x³.

To find f(g(-1)) first we have to put x = -1 for g(x) which is

= g(-1) = (-1)³ = -1.

Now we put this value of g(-1) in f(x).

∴ f(g(-1))

= f(-1)

= (-1)² + 9(-1)

= 1 - 9

= - 8.

learn more about composite functions here :

https://brainly.com/question/20379727

#SPJ2

Answer:

Step-by-step explanation:

  We know that = Liability

[tex]PLiability= \frac{6000}{1.05^{4} }[/tex]

[tex]\frac{6000}{1.05^{4} }=\frac{A}{1.05^{2} }+\frac{B}{1.05^{6} }\\\\6000(1.05^{2} ) = (1.05^{4} ) +B\\B= 6000(1.05^{2} )-(1.05^{4} )----------(1)\\\\[/tex]

dAssets =dLiability

[tex]4=2*\frac{\frac{A}{1.05^2} }{\frac{6000}{1.05^4} } +6*\frac{\frac{B}{1.05^6} }{\frac{6000}{1.05^4} } \\4={\frac{6000}{1.05^4}= 2*\frac{A}{1.05^2} +6*\frac{B}{1.05^6}\\\\4[6000(1.05^2)]= 2*A(1.05^4)+6*B[/tex]

From equation 1 we have

[tex]4[6000(1.05^2)]= 2*A(1.05^4)+6*6000(1.05^2)-6*A(1.05^4)\\4*A(1.05^4)=2*6000(1.05^2)\\A=\frac{2*6000(1.05^2)}{4*(1.05^4)} \\A=272.088435\\[/tex]

Going back to equation 1 we have

[tex]B= 6000(1.05^2)-A(1.05^4)\\B= 3307.5\\|A-B|= |2721.088435-3307.5|= 586.411565[/tex]

Answer:

a. 3

b. 5

c. 4

d. 4

e. 10

Step-by-step explanation:

Answer:

read below

Step-by-step explanation:

a.3

b.5

c.2

d.2

6. 8p

Answer:

42

Step-by-step explanation:

Mean = Sum of numbers/ Total numbers

Sum of 6 numbers = 32 x 6

= 192

If one number is excluded the mean reduce by 2 . so it becomes 30

Sum of 5 Numbers = 5 x 30

=150

Therefore the excluded number is

= 192 - 150

= 42.

Answer:

52300

Step-by-step explanation:

When you multiply by ten the decimal dot moves one space to the right, so here you multiply by ten four times, so you move the dot four spaces to the right and you get 52300

Answer:

a) 38

Step-by-step explanation:

The normal distribution can be applied if:

[tex]np \geq 5[/tex] and [tex]n(1-p) \geq 5[/tex]

In this question:

[tex]p = 0.27[/tex]

Then

a) 38

n = 38.

Then

38*0.27 = 10.26

38*0.73 = 27.74

Satisfies. But is this the smallest sample of the options which satisfies.

b) 14

n = 14

Then

14*0.23 = 3.22

14*0.77 = 10.78

Does not satisfy

c) 10

Smaller than 14, which also does not satisfy, so 10 does not satisfy.

d) 48

Greater than 38, which already satisfies. So the answer is a)

Answer:

[tex]x = \frac{-41}{17} , y = \frac{-1}{17}[/tex]

Step-by-step explanation:

Step(i):-

Given equations are  2 x+3 y=-5  ...(i)

                                   5 x-y=-12 ...(ii)

Multiply equation (ii) by '3'

                                    2 x + 3 y  = -5  

                                   15 x - 3 y  = - 36

                                  17 x  = - 41

                                   [tex]x = \frac{-41}{17}[/tex]

Step(ii):-

Substitute [tex]x = \frac{-41}{17}[/tex]  in equation (i)

                             2 ([tex]\frac{-41}{17}[/tex]+3 y=-5

                                 3 y = - 5 + [tex]\frac{82}{17}[/tex]

                               [tex]3 y = \frac{-85 + 82}{17} = \frac{-3}{17}[/tex]

                               [tex]y = \frac{-1}{17}[/tex]

The solution of the two equations

 ( x, y ) = [tex](\frac{-41}{17} , \frac{-1}{17})[/tex]

Properties of the logarithm: for any base of logarithm,

log(a*b) = log(a) + log(b)

If we replace b with 1/b, or b^-1, we have

log(a/b) = log(a) + log(1/b) = log(a) - log(b)

since

log(1/b) = log(b^-1) = - log(b)

using the power property of logarithms,

log(b^n) = n log(b)

Now,

ln35 = ln(5*7) = ln5 + ln7

ln(1/7) = - ln7

ln25 = ln(5^2) = 2 ln5

Putting everything together, we have

(ln35 + ln(1/7))/ln25 = (ln5 + ln7 - ln7)/(2 ln5) = ln5/(2 ln5) = 1/2

Answer:

2 acute and one right.

Step-by-step explanation:

plz mark brainliest!

Answer:

2 acute 1 right, you asked for ASAP so theres no explanation

You cant mix right and obtuse, and you cant have more than 1 obtuse in a triangle. There has to be at least 2 acute angles.

Answer:

.75 teaspoons per ounce

Step-by-step explanation:

Take the number of teaspoons and divide by the number of ounces

10.5 / 14

.75 teaspoons per ounce

Green

x=14.7

y=8.5

Red

x=3.5

y=6

Answer: 360 cubic centimeters.

Step-by-step explanation:

Since it  has a base shaped like a square and we know that it has a side length of 6 cm then we could square it an multiply it by the height.

6^2 = 36  

36 * 10 = 360

Answer:

The margin of error is 370.8.

The 90​% confidence interval for the population mean is between $167.2 and $908.8

The correct interpretation is that we are 90% sure that the true mean price for all cellphones in within the interval end-points, so option B.

Step-by-step explanation:

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 6 - 1 = 5

90% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 5 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.9}{2} = 0.95[/tex]. So we have T = 2.0150

The margin of error is:

M = T*s = 2.0150*184 = 370.8.

In which s is the standard deviation of the sample.

The lower end of the interval is the sample mean subtracted by M. So it is 538 - 370.8 = $167.2

The upper end of the interval is the sample mean added to M. So it is 538 + 370.8 = $908.8

The 90​% confidence interval for the population mean is between $167.2 and $908.8

The correct interpretation is that we are 90% sure that the true mean price for all cellphones in within the interval end-points, so option B.