Simplify please and show steps:

Sec (x) tan (x) csc (x) cot (x) sin (x) cos (x)

The required rate of simple interest is 1.75%.

Here, we have,

(Principal + Interest) is a straightforward interest equation.

A = P(1 + rt)

Where: A is the sum of the accrued principal and interest.

Principal Amount is P.

I is the interest rate.

r is the annual percentage rate of interest, or R/100.

R is the annual percentage rate of interest; R = r * 100 t is the length of time involved in months or years.

Since I = Prt,

the initial formula A = P(1 + rt) evolved from A = P + I to A = P + Prt,

which may be represented as A = P(1 + rt).

Given: Principal is $1,300

Rate is 7% and the amount earned that is A-P is $159.25.

A = P(1 + rt)

Therefore substituting the values in the above mentioned equation, we get:

159.25= 1300(1+r×7)

On solving we get,

r= 1.75%

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complete question:

At the Blue Bank, Barry would earn $159.25 in simple interest in 7 years after depositing $1,300.

What rate of simple interest is offered at the

Blue Bank?

Answer:

48

Step-by-step explanation:

4*2*3 for the 4 flaps

2*4*3 for the 2 tops

(4*2*3) + (2*4*3) = 48

Answer:

52 square inches

Step-by-step explanation:

to find the surface area of a rectangular prism the formula is

S.A.=2(l*w+l*h+w*h)

2(4*3+4*2+3*2)

=52 square inches

here l is length w is width and h is height

Answer: It would be 40 inches by 83 1/3 inches

Step-by-step explanation:

The dimensions on the scale drawings will be 40 inches by 83.34 inches.

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that If one inch represents 6 feet. The dimensions of 240 feet by 500 feet in the scale drawing will be,

6 feet =  1 inch

1 feet = 1 / 6 inch

240 feet = ( 240 / 6 ) inches

240 feet = 40 inches

500 feet = ( 500 / 6 ) inches

500 feet = 83.34 inches

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The size of angle y in the quadrilateral is 130 degrees.

A quadrilateral is a polygon with 4 sides and angles. The quadrilateral above is a kite. The sum of angles in a quadrilateral is 360 degrees.

Therefore, let's find the angles in the quadrilaterals as follows:

y + y + 70 + 30 = 360(sum of angles in a quadrilateral)

2y + 100 = 360

2y = 360 - 100

2y = 260

divide both sides by 2

y = 260 / 2

y = 130 degrees

Therefore, the size of y is 130 degrees.

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The option that is extraneous solution of

√-3x-2=x+2 is A. -6.

From the information given, taking square both sides

-3x - 2 = (x + 3)²

On applying identity   = a² + b² + 2ab

Then ,

-3x -2 =  x² + 2² + 2 * 2 *x

-3x -2 =  x² + 4 + 4x.

On adding both sides by 3x

-2 =  x² + 4 + 4x + 3x

-2 =  x² + 4 + 7x

On adding both sides by 2

0 =  x² + 4 + 7x + 2

On switching sides

x² +7x + 6 = 0

On Factoring

x² +6x + x + 6 = 0

x ( x+ 6 ) +1 (x +6 ) = 0

On grouping

( x +1) ( x +6) = 0

x = -1, -6.

An extraneous solution is a root of a transformed equation that is not a root of the original equation. Therefore, -6 is the extraneous solution.

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Complete question

Which of the following is an extraneous solution of sqrt(-3x-2)=x+2 a.-6 b.-1 c.1 d.6

Alaska occupies 17.22% of the surface area of the United States. Rounding to the nearest whole number, we get 17%. Hence, the answer is:17%

We are given that the surface area of the United States is 3.797 million square miles and the state of Alaska occupies 655,400 square miles. We need to determine what percentage of the surface area of the United States is occupied by Alaska using ratios.To find the percentage, we need to first find the ratio of Alaska's surface area to the surface area of the United States. We can do this by dividing the surface area of Alaska by the surface area of the United States. That is,655,400 / 3,797,000 = 0.1722We can express this ratio as a percentage by multiplying by 100. That is,0.1722 × 100 = 17.22%

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Answer:

\((-\infty,2)\)

Step-by-step explanation:

Since \(-3x+6\nless 0\), then \(x\ngtr 2\), therefore, the domain of the function is \((-\infty,2)\).

Answer:

(3x + 8y)(3x - 8y)

Step-by-step explanation:

this is the difference of 2 perfect squares.

9x2 - 64y2

(3x + 8y)(3x - 8y)

Answer:

Hello! After reading your question I have deduced that the correct answer is 288² cm.

Step-by-step explanation:

The way I came to this conclusion was as follows:

Firstly:

If said rectangle is two squares put side by side (adjacent), then a valid assumption is that both squares are the same size.

This is because all four sides of a square have to be equal.

Thus if the two squares are joined together on one side, then all the other sides of both the squares will be the same length.

Thus both of the squares are going to be the same size, so they will have the same area.

Secondly:

If the area of one square is 144² cm then the area of the other square should also be 144² cm.

Thus if you combine the areas of both the squares, that make up the rectangle, you are left with the area of the rectangle being 288² cm.

I hope this helped!

Answer:

16 blue, 11 yellow, and 4 red

Step-by-step explanation:

Based on the normal probability plot, histogram, and boxplot that we created, we can conclude that the data is "normal" or "not normal".

To answer this question, we need to use the data from the MemphisSnowfall.xls file and create a normal probability plot, a histogram, and a boxplot using Excel or StatCrunch. Then, we need to determine if the data is "normal" or "not normal".

a. To create the normal probability plot using Excel, follow these steps:
 

b. To create a histogram using Excel, follow these steps:
 

c. To create a boxplot using Excel, follow these steps:
 

d. To determine if the data is "normal" or "not normal", we need to look at the normal probability plot, the histogram, and the boxplot. If the normal probability plot is a straight line, the histogram is bell-shaped, and the boxplot is symmetric, then the data is "normal". If the normal probability plot is not a straight line, the histogram is not bell-shaped, and the boxplot is not symmetric, then the data is "not normal".

Based on the normal probability plot, histogram, and boxplot that we created, we can conclude that the data is "normal" or "not normal".

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The equivalent expression for the equation is option D \((\frac{7}{5} )^{2} *( \frac{1}{3}) ^{3}\)

How should an equivalent be written?

When writing equivalent fractions, the numerator and denominator should be multiplied or divided by the same number. This is the reason why when these fractions are simplified, they are reduced to the same value.

What is a good example of an equivalent expression?

Example Expressions That Are Equivalent

Because both expressions have the same value for any value of x, 3(x + 2) and 3x + 6 are equivalent expressions. 3x + 6 = 3 × 4 + 6 = 18.

Given that

\([(\frac{5}{7} )^{2} *( \frac{1}{3}) ^{-3}]^{-1} \\= \frac{1}{(\frac{5}{7} )^{2} *( \frac{1}{3}) ^{-3}} \\=(\frac{7}{5} )^{2} *( \frac{1}{3}) ^{3}\)

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Answer:

-9/10

Step-by-step explanation:

Answer:

Step-by-step explanation:

I think -9/10

Answer:

LOVE I THINK LOL

Step-by-step explanation:

FOUR HEARTS MEAN YOU ARE GOING TO MARRY A LOVLY WOMAN LOL.

Answer:

The 95% confidence interval is  \( 10.91  <  \mu <11.28  \)  

The 99% confidence interval is \( 10.85  <  \mu <11.33  \)  

Step-by-step explanation:

From the question we are told that

    The sample  mean is  \(\= x = 11.09 \ tons\)

     The standard deviation is  \(\sigma = 0.73 \ tons\)

      The sample size is  n =60

From the question we are told the confidence level is  95% , hence the level of significance is    

      \(\alpha = (100 - 95 ) \%\)

=>   \(\alpha = 0.05\)

Generally from the normal distribution table the critical value  of  \(\frac{\alpha }{2}\) is  

   \(Z_{\frac{\alpha }{2} } =  1.96\)

Generally the margin of error is mathematically represented as  

      \(E = Z_{\frac{\alpha }{2} } *  \frac{\sigma }{\sqrt{n} }\)

=>    \(E = 1.96 *  \frac{ 0.73  }{\sqrt{n60 }\)    

=>    \(E = 0.1847 \)  

Generally 95% confidence interval is mathematically represented as  

      \(\= x -E <  \mu <  \=x  +E\)

=>    \( 11.09  - 0.1847  <  \mu <11.09  + 0.1847 \)  

=>    \( 10.91  <  \mu <11.28   \)  

From the question we are told the confidence level is  99% , hence the level of significance is    

      \(\alpha = (100 - 99 ) \%\)

=>   \(\alpha = 0.01/tex]

Generally from the normal distribution table the critical value  of  \(\frac{\alpha }{2}\) is  

   \(Z_{\frac{\alpha }{2} } =  2.58 \)

Generally the margin of error is mathematically represented as  

      \(E = Z_{\frac{\alpha }{2} } *  \frac{\sigma }{\sqrt{n} }\)

=>    \(E = 2.58 *  \frac{ 0.73  }{\sqrt{n60 }\)    

=>    \(E = 0.2431 \)  

Generally 95% confidence interval is mathematically represented as  

      \(\= x -E <  \mu <  \=x  +E\)

=>    \( 11.09  - 0.2431<  \mu <11.09  + 0.2431 \)  

=>    \( 10.85  <  \mu <11.33  \)  

The confidence limits for the mean of the maximum loads of all cables produced by the company are: for 95%, it is [10.935,11.245]. For 99%, it is [10.87 ,11.309].

Suppose that we have:

Then the margin of error(MOE) is obtained as

Margin of Error = \(MOE = Z_{\alpha/2}\dfrac{\sigma}{\sqrt{n}}\)

\(MOE = Z_{\alpha/2}\dfrac{s}{\sqrt{n}}\)

where \(Z_{\alpha/2}\) is critical value of the test statistic at level of significance

The confidence interval for specific level of significance \(\alpha\) is:

\([\overline{x} - |MOE|, \overline{x} + |MOE|]\)

where \(\overline{x}\) is the sample mean.

For this case, we are given that:

Calculating the confidence limits of given confidence level:

The level of significance = \(\alpha = 100 - 95\% = 5\% = 0.05\)

The critical value of Z at this level of significance is \(Z_{\alpha/2} = Z_{0.05/2} = \pm 1.645\)

Thus, the confidence interval is:

\([\overline{x} - |MOE|, \overline{x} + |MOE|] = [11.09 - 1.645 \times \dfrac{0.73}{\sqrt{60}}, 11.09 + 1.645 \times \dfrac{0.73}{\sqrt{60}}]\\\\\approx [11.09 - 0.155, 11.09 + 0.155] = [10.935,11.245]\)

Thus, the confidence interval at 95% is  [10.935,11.245]

The level of significance = \(\alpha = 100 - 99\% = 1\% = 0.01\)

The critical value of Z at this level of significance is \(Z_{\alpha/2} = Z_{0.05/2} \approx \pm 2.33\)

Thus, the confidence interval is:

\([\overline{x} - |MOE|, \overline{x} + |MOE|] = [11.09 - 2.33 \times \dfrac{0.73}{\sqrt{60}}, 11.09 + 2.33 \times \dfrac{0.73}{\sqrt{60}}]\\\\\approx [11.09 - 0.1847, 11.09 + 0.1847] = [10.87 ,11.31]\)

Thus, the confidence interval at 99% is  [10.87 ,11.309]

Thus, the confidence limits for the mean of the maximum loads of all cables produced by the company are: for 95%, it is [10.935,11.245]. For 99%, it is  [10.87 ,11.309].

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Conversion factor

1 milliliter ------------------------- 1 cm^3

250 milliter ---------------------- x

x = (250 x 1) / 1

x = 250 cm^3

Answer: The surface area of the rectangular prism is approximately 4 square yards.

Step-by-step explanation: Given that the volume of the rectangular prism is 160 cubic yards, we can find the dimensions of the prism using the formula:

V = lwh

where V is the volume, l is the length, w is the width, and h is the height.

So, we have:

160 = lwh

Now, we need to find two other measurements in order to calculate the surface area of the rectangular prism. However, we do not have enough information to find all three dimensions. Therefore, we will assume one dimension and find the other two.

Let's assume that the height of the rectangular prism is 10 yards. Then, we can rearrange the formula for the volume to solve for the product of the length and width:

lw = V/h = 160/10 = 16

Now, we have two equations:

lw = 16

wh = 160/10 = 16

Solving for w in the first equation, we get:

w = 16/l

Substituting this expression for w in the second equation, we get:

l(16/l)h = 16

Simplifying, we get:

h = 1

Therefore, the dimensions of the rectangular prism are:

length = l

width = 16/l

height = 10

Now, we can calculate the surface area of the rectangular prism using the formula:

SA = 2lw + 2lh + 2wh

Substituting the values we found, we get:

SA = 2(l(16/l)) + 2(l(10)) + 2((16/l)(10))

SA = 32/l + 20l + 160/l

To find the minimum value of this expression, we can take its derivative with respect to l and set it equal to zero:

dSA/dl = -32/l^2 + 20 + (-160/l^2)

0 = -32/l^2 + 20 - 160/l^2

52/l^2 = 20

l^2 = 52/20

l ≈ 1.44

Substituting this value of l back into the expression for SA, we get:

SA ≈ 4 square yards

Therefore, the surface area of the rectangular prism is approximately 4 square yards.

suppose they are independent of a geometric random variable with parameter p. Let M = max(x1,....,xN) (a) Find P{M<} by conditioning on N is  nλe^(-nλx)

Given fx (x) = λe^λx

Fx (x) = 1 – e^-λx      x…0

To find distribution of Min (X1,….Xn)

By applying the equation

fx1 (x) = [n! / (n – j)! (j – 1)!][F(x)]^j-1[1-F(x)]^n-j f(x)

For minimum j = 1

[Min (X1,…Xn)] = [n!/(n-1)!0!][F(x)]^0[1-(1-e^-λx)]^n-1λe^-λx

= ne^[(n-1) λx] λe^(λx)

= nλe^(-λx[1+n-1])

= nλe^(-nλx)

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Answer:

the third option

Step-by-step explanation:

that is actually the proof for Pythagoras :

both squares have the total area of (a + b)².

each of the triangles (4 in figure 1, 4 in figure 2) has the same area as the others : a×b/2

so, for figure 1

(a + b)² = 4×a×b/2 + c² = 2×a×b + c²

and for figure 2

(a + b)² = 4×a×b/2 + a² + b² = 2×a×b + a² + b²

2×a×b + c² = 2×a×b + a² + b²

c² = a² + b²

Answer:

it is 240

Step-by-step explanation:

put in equation and solve

2/3t+10=170

t=240

Step-by-step explanation:

6x+3=75° ( being alternate angle )

6x = 72°

x=12

75+45+y= 180

y= 60°

We can make a drawing to see better:

In the picture above, we can see the sides AC and BC are equals because triangle ABC is isosceles, and also the segments AD and DB are equals for the same reason.

We can calculate the lenght of segment AD as:

With the lenght of segment AD we can calculate the lenght of AB as:

The correct answer is in yellow.

Answer: its B

Step-by-step explanation:

Answer:

B. (AC)²+(BC)² = (AB)²

Step-by-step explanation:

The Pythagorean Theorem is: a²+b²=c²

Using the lines given, we would get:

(AC)²+(BC)²=(AB)²

The answer that fits this is B. (AC)²+(BC)² = (AB)²

Answer:

84+28w

hope this helps

have a good day :)

Step-by-step explanation:

Answer:

84+28w!

Step-by-step explanation:

just just make me brainliest

Answer:

53

Good luck with your quiz/test :D

Answer:

53

Step-by-step explanation:

The equation to show the perimeter of the rectangle is P = 2(2w + 5)

From the question, we have the following parameters that can be used in our computation:

Length = 5 more than the width

Also, we have

Perimeter = 58

This means that

P = 2(w + 5 + w)

P = 2(2w + 5)

In (a), we have

P = 2(2w + 5)

This gives

2(2w + 5) = 58

So, we have

2w + 5 = 29

2w = 24

w = 12

Next, we have

l = 12 + 5

l = 17

Lastly, we have

Area = 17 * 12

Area = 204

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Answer:

x=-6

Step-by-step explanation:

since y varies directly with x

it means y=Kx, and k=y/x

when y=6, and x=-2

k=6/-2=-3

But when y=18, x will be given by

x=y/k

x=18/-3,. x=-6