Use a half angle formula to find the exact value of the expression tan 22.5 degree

The functions that the left endpoint lead to an under approximation and right endpoints lead to and over approximation is the positive and increasing function.

It should be noted that function simply means the illustration that shows the relationship between the variables.

In this case, the functions that the left endpoint lead to an under approximation and right endpoints lead to and over approximation is the positive and increasing function.

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Answer: 101.6

Step-by-step explanation:

y∝(1/x)

this implies that

y=k/x    eq(*)

when y=12.7 and x=8

12.7=k/8

(12.7)(8)=k

101.6 =k

The linear inequality wthat will not have a shared solution set with the graphed linear inequality is C. y > 5/3x + 2.

It should be noted that the graph shows the shaded area as y < 5/3x + 1.. The slope of the line will be 5/3.

The two parallel lines are the same. The graph of the inequality is also attached.

The complete question is:

Which linear inequality will not have a shared solution set with the graphed linear inequality?

A. y < 5/3x – 2

B. y < -5/3x + 1

C. y > 5/3x + 2

D. y > -5/3x + 2

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Answer:

-5

Step-by-step explanation:

x+8=3

x=3-8

we can easily say +3-8=-5

[tex]\large\displaystyle\text{$\begin{gathered}\sf 7x-2(x+1)=6x+4 \end{gathered}$}[/tex]

Use the distributive property to multiply −2 by x+1.

Combine 7x and −2x to get 5x.

Subtract 6x on both sides.

Combine 5x and −6x to get −x.

Add 2 to both sides.

Add 14 and 2 to get 16.

Multiply both sides by −1.

[tex]\huge\text{Hey there!}[/tex]

[tex]\huge\textbf{Equation:}[/tex]

[tex]\mathsf{7x - 2(x + 1) = 6x + 14}[/tex]

[tex]\huge\textbf{DISTRIBUTE 2 WITHIN the}\\\\\huge\textbf{PARENTHESES:}[/tex]

[tex]\mathsf{7x - 2(x) + 2(1) = 6x + 14}[/tex]

[tex]\mathsf{7x - 2x - 2 = 6x + 14}[/tex]

[tex]\huge\textbf{COMBINE the LIKE TERMS (if you}\\\\\huge\textbf{have any):}[/tex]

[tex]\mathsf{(7x - 2x) - 2 = 6x + 14}[/tex]

[tex]\mathsf{5x - 2 = 6x + 14}[/tex]

[tex]\huge\textbf{ADD 2 to BOTH SIDES:}[/tex]

[tex]\mathsf{5x - 2 + 2 = 6x + 14 + 2}[/tex]

[tex]\huge\textbf{SIMPLIFY IT!}[/tex]

[tex]\mathsf{5x = 6x + 16}[/tex]

[tex]\huge\textbf{SUBTRACT 6x to BOTH SIDES}[/tex]

[tex]\mathsf{5x - 6x = 6x + 16 - 6x}[/tex]

[tex]\huge\textbf{SIMPLIFY IT!}[/tex]

[tex]\mathsf{-x = 16}[/tex]

[tex]\mathsf{-1x = 16}[/tex]

[tex]\huge\textbf{DIVIDE -1 to BOTH SIDES}[/tex]

[tex]\mathsf{\dfrac{-1x}{-1} = \dfrac{16}{-1}}[/tex]

[tex]\huge\textbf{SIMPLIFY IT!}[/tex]

[tex]\mathsf{x = \dfrac{16}{-1}}[/tex]

[tex]\mathsf{x = -16}[/tex]

[tex]\huge\text{Therefore, your answer should be: \boxed{\mathsf{x = -16}}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Answer:

Step-by-step explanation:

Givens

t1 = 2

r = 3

n = 10

Formula

tn = a*r^(n -1)         Substitute the givens into the this formula

Solution

t10 = 2 * 3^(10 - 1)

t10 = 2 * 3^9

t10 = 2 * 19683

t10 = 39366

Answer: 39366

Using the normal distribution, it is found that the probabilities are given as follows:

a) 0.8871 = 88.71%.

b) 0.0778 = 7.78%.

c) 0.8485 = 84.85%.

The z-score of a measure X of a normally distributed variable with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The parameters in this problem are given as follows:

[tex]\mu = 1140, \sigma = 310, n = 16, s = \frac{310}{\sqrt{16}} = 77.5[/tex]

Item a:

The probability is the p-value of Z when X = 1250 subtracted by the p-value of Z when X = 1000, hence:

X = 1250:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

By the Central Limit Theorem

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{1250 - 1140}{77.5}[/tex]

Z = 1.42

Z = 1.42 has a p-value of 0.9222.

X = 1000:

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{1000 - 1140}{77.5}[/tex]

Z = -1.81

Z = -1.81 has a p-value of 0.0351.

0.9222 - 0.0351 = 0.8871 = 88.71% probability.

Item b:

The probability is one subtracted by the p-value of Z when X = 1250, hence:

1 - 0.9222 = 0.0778 = 7.78%.

Item c:

The probability is the p-value of Z when X = 1220, hence:

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{1220 - 1140}{77.5}[/tex]

Z = 1.03

Z = 1.03 has a p-value of 0.8485.

0.8485 = 84.85% probability.

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Answer:

Rs 328

Step-by-step explanation:

Find the principal amount invested.

Simple Interest Formula

I = Prt

where:

Given:

Substitute the given values into the formula and solve for P:

⇒ 320 = P(0.05)(2)

⇒ 320 = P(0.1)

⇒ P = 3200

Compound Interest Formula

[tex]\large \text{$ \sf I=P\left(1+\frac{r}{n}\right)^{nt} -P$}[/tex]

where:

Given:

Substitute the given values into the formula and solve for I:

[tex]\implies \sf I=3200\left(1+\frac{0.05}{1}\right)^{2} -3200[/tex]

[tex]\implies \sf I=3200\left(1.05\right)^{2} -3200[/tex]

[tex]\implies \sf I=3200\left(1.1025\right) -3200[/tex]

[tex]\implies \sf I=3528-3200[/tex]

[tex]\implies \sf I=328[/tex]

Therefore, the compound interest on the same sum for the same time at the same rate is Rs 328.

The required length of GH is 7.7.

Given, HJ = 10
         m∠J = 40°

These are the equation which contains trigonometric operators such as sin, cos.. etc.. In algebraic operation.

Let assume that there is right angle triangle GHJ.
Where HJ is base and GH is perpendicular.
Now,
cos40 = GH/HJ
GH = cos40 HJ
GH = 10 cos40
GH = 7.7

Thus, the required length of GH is 7.7.

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Answer:

1

Step-by-step explanation:

There is one whole 3 inside of 4 1/2 or 4.5.

Multiples of 3 are 3x1=3   3x2=6....

Only a single whole 3 can be inside of 4.5.

Answer:

One

Step-by-step explanation:

ONE

4.5 ÷ 3 = 1 . 5   <=====so there is one and a half 3's in 4.5

The problem proves that the distributor's claim is true and he has a right to complain.

But when the confidence interval is changed from 95% to 90% the distributor's claim proves to be false.

The Confidence Interval for 95%  is 0.9687;0.98532

For a sample size of n>30 the central limit theorem allows us to assume that the sampling distribution of x~ is approximately normal.

The critical region is Z ≥ 1.28 therefore the 1.877 lies in the rejection region that the distributor's claim is not true.

The Confidence Interval for 90%  is 0.97156;0.982431

Here

μ = 0.977

s= σ= 0.03

95 % confidence interval is given by

x~± z∝/2 (s/√n)

Putting the values

0.977 ± 1.96 (0.03/√50)

=0.977 ± 0.008315

0.9687;0.98532

Part B:

x~+ 0.95= 0.977+0.95= 1.927

The critical region is Z ≥ 1.96 therefore the 1.927 lies in the acceptance region that the distributor's claim is true.

Part C:

For a sample size of n>30 the central limit theorem allows us to assume that the sampling distribution of x~ is approximately normal.

Part D:

μ = 0.977

s= σ= 0.03

90 % confidence interval is given by

x~± z∝/2 (s/√n)

Putting the values

0.977 ± 1.28 (0.03/√50)

=0.977 ± 0.005431

0.97156;0.982431

Part D:

x~+ 0.90= 0.977+0.90= 1.877

The critical region is Z ≥ 1.28 therefore the 1.877 lies in the rejection region that the distributor's claim is not true.

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1 subract 6

2 add 8

3 add 11

4 subract 5

5 add 10

Answer:

Step-by-step explanation:

Answer:

4 cups of tea

Step-by-step explanation:

12 ounces ÷ 2/3 ounces = 18 cups of tea.

12/1 ÷ 2/3

12/1 x 3/2

= 36/2

=18

Answer:

4 cups of tea

Step-by-step explanation:

Given Trinity has 12 ounces of tea leaves, and 1 cup of tea requires 3 ounce of tea leaves,

No. of cups of tea = Total amount of tea leaves / Tea leaves required per cup of tea

= 12 / 3

= 4 cups of tea.

The solution to the given equation is x = ±7. The correct option is d. x = ±7

From the question, we are to determine the solution to the given equation

The given equation is

x²-49 = 0

NOTE: I assumed the variable is x

Solving the equation

x²-49 = 0

Writing in the form ax²= c

x² = 49

∴ x = ±√49

x = ±7

Hence, the solution to the given equation is x = ±7

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The rate of return earned on the investment of $475 five years ago in the corporate stock is 312.63%.

The rate of return is the net gain or loss of an investment expressed as a percentage of the investment's initial cost.

It is given by the formula,  R= {Vf - Vi}/{Vi} x 100.

Where:

R = Rate of return

Vf = final value, including dividends and interest

Vi = initial value

Investment cost = $475

Dividends received:

1st two years = $80 ($10 x 8)

Three years = $180 ($15 x 12)

Total dividends received = $260 ($80 + $180)

Total revenue from sale = $1,700

Total proceeds = $1,960 ($1,700 + $260)

Total return = $1,485 ($1,960 - $475)

Rate of return = 312.63%  ($1,485/$475 x 100)

Thus, the rate of return is 312.63%.

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The amount of interest you would be paying in Year 2 is: $2,492.62.

First step is to calculate the Equal Monthly Payment

Equal Monthly Payment=P×r×(1+r)^t/(1+r)^t-1

Where:

P=Principal=$36,500

r=Rate=7.7%

t=Time=7 years

Equal Monthly Payment=36,500×0.077×(1+0.077)^7÷(1+0.077)^7-1

Equal Monthly Payment=36,500×0.077×(1.077)^7÷(1.077)^7-1

Equal Monthly Payment=36,500×0.077×1.6807763÷1.6807763-1

Equal Monthly Payment=4,723.82/0.6807763

Equal Monthly Payment=$6,938.875

Second step is to calculate Year 1 Closing balance

Year 1 Closing balance  = Beginning  balance + Interest - EMI Payment

Year 1 Closing balance=  $36,500 +($36,500×7.7%) - $6,938.875

Year 1 Closing balance=  $36,500 + $2,810.5 -$6,938.875

Year 1 Closing balance =   $32,371.625

Third step is to calculate year 2 interest

Year 2 Interest= $32,371.625×7.7%

Year 2 Interest=$2,492.62

Therefore the amount of interest you would be paying in Year 2 is: $2,492.62.

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Answer:

11 , 17 , 24

Step-by-step explanation:

• Since the Lowest number is 11 and the range is 13 then

The greatest number is 11 + 13 = 24

• Therefore the three numbers are  11 , 17 and 24

because the median of the set 11 , 17 , 24 is 17

Step-by-step explanation:

gd seek is sssa eh uiiio if fsssw we to i if i jobs sss

Answer:

[tex]y^2 + 55[/tex]

Step-by-step explanation:

Solution

Step 1: Plug in value of b as 5.

Step 2: Simplify

Therefore, the answer is y^2 + 55.

[tex]\huge\text{Hey there!}[/tex]

[tex]\huge\textbf{Equation:}[/tex]

[tex]\mathbf{2b^2 + b + y^2}[/tex]

[tex]\huge\textbf{Conversion:}[/tex]

[tex]\mathbf{2(5)^2 + 5 + y^2}[/tex]

[tex]\huge\textbf{Simplify it:}[/tex]

[tex]\mathbf{2(5)^2 + 5 + y^2}[/tex]

[tex]\mathbf{= 2(5\times5) + 5 + y^2}[/tex]

[tex]\mathbf{= 2(25) + 5 + y^2}[/tex]

[tex]\mathbf{= 50 + 5 + y^2}[/tex]

[tex]\mathbf{= 55 + y^2}[/tex]

[tex]\mathbf{= y^2 + 55}[/tex]

[tex]\huge\textbf{Therefore, your answer should be: }[/tex]

[tex]\huge\boxed{\textsf y\frak{^2 + 55}}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

a. [tex]x^4 + 4x^2 + 4[/tex]

b. x = ∛-1 and -3

a.  Given

(x² + 2)²

First, we open up the bracket

[tex](x^2 + 2) (x^2 + 2)[/tex]

Multiply through

[tex]x^4 + 2x^2 + 2x^2 + 4[/tex]

Collect like terms

[tex]x^4 + 4x^2 + 4[/tex]

b. Let's factorize

[tex]x^4 + 4x + 3[/tex]

Find the factors of 3 that are products of 4, they are 3 and 1

Use it to replace 4x as 3x and x

[tex]x^4 + 3x + x + 3[/tex]

Let's make the expression two

[tex](x^4 + 3x) (x+ 3)[/tex]

Find the common factor

[tex]x^3(x + 3)+ 1(x+ 3)[/tex]

So,

[tex]x^3 + 1 = 0[/tex] and [tex]x + 3 = 0[/tex]

[tex]x = 3\sqrt{-1}[/tex] and x = -3

Thus, x = ∛-1 and -3

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The total contribution to the GDP is $5.49.

GDP, the gross domestic product is the sum of all final goods and services produced in an economy within a given period.

When calculating GDP, only the value added of final goods and services are included. Intermediate goods are not added.

Therefore,

Total contribution to GDP = 7.99 - (10 X 0.25) = $5.49.

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Using translation concepts, the changes are described as follows:

a) The function is vertically stretched by a factor of 3, and shifted down 2 units.

b) The function is shifted 1 unit right and 4 units down.

c) The function is horizontally compressed by a factor of 2 and shifted up  5 units.

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.

Item a:

The changes are as follows:

Item b:

The changes are as follows:

Item c:

The changes are as follows:

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The measure of m<WUV is 53 degrees

Given the following parameters

m<TUW = 22 +7x,

m<WUV = 41+ 6x

m<TUV. = 89

The related expression is given as:

m<TUV + m<WUV = m<TUV.

Substitute

22+7x+41+6x = 89

63 + 13x = 89

13x = 89 - 63

13x = 26

x = 2

Determine the measure of m<WUV

m<WUV = 41 + 6(2)

m<WUV = 41 + 12

m<WUV =53 degrees

Hence the measure of m<WUV is 53 degrees

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Step-by-step explanation:

what is the problem ? this is very straight forward with a calculator :

cos(64°) = y/8

y = 8×cos(64°) = 8×0.438371147... = 3.506969174... ≈

≈ 3.5

Answer:

20%

Step-by-step explanation:

Total Litres in mixture=(0.60+0.4)=1 Litre

alcohol in first portion:=0.10(0.60)=0.06 Litres

alcohol in second portion:=0.35(0.40)=0.14 Litres

Total alcohol in mixture = 0.06 +0.14 = 0.20

% of alcohol in mixture:

                                          [tex]\frac{0.2}{1} (100) = 20%[/tex]%

Answer: 20%. Based on the given conditions, formulate:: 35% * 0.4 + 0.6 * 10% / 0.4 + 0.6Calculate the product

Answer:

  6

Step-by-step explanation:

The average of a set of numbers is their sum divided by their number. This fact lets us write an equation to find the missing number.

Let x represent the missing number. The average of the 4 numbers is ...

  (x +18 +11 +25)/4 = 15

Multiplying by 4 gives ...

  x +54 = 60

Subtracting 54, we find the missing number:

  x = 6

The other number is 6.

Answer:

in the 8 is ADB, in the 7 I'm not sure about you need to do sorry, or maybe you need to classify what triangle it is think is a scalene triangle because has a different measurements

Answer:

Here you go with your answer

Mark me as brainlist may your parents live long life

Answer:

Step-by-step explanation:

for reflection around x-axis.

(x,y)→(x,-y)

so P' is (-7,4)