13.95 + 0.49x = 50 - 13.95 - x
Whats the value of x please i have a test today

The six trigonometric functions at 11π/3 are as follows-

sin (11π/3) = -\(\sqrt{3}\)/2

cos (11π/3) = 1/2

tan (11π/3) = -\(\sqrt{3}\)

cot (11π/3) = -1/\(\sqrt{3}\)

sec (11π/3) = 2

cosec (11π/3) = -2/ \(\sqrt{3}\)

Let us evaluate the six trigonometric functions at 11π/3 as follows -

11π/3 can be written as (6π+5π)/3 = 2π + 5π/3.

a. sin (11π/3) = sin (2π + 5π/3)

this angle is greater than or equal to 0 and less than 2π.

= sin (5π/3)

Finding the angle with equivalent trigonometric values in the first quadrant. Also, sin is negative in the 4th quadrant.

= -sin (π/3)

= -\(\sqrt{3}\)/2

Hence, sin (11π/3) = -\(\sqrt{3}\)/2

b. cos (11π/3) = cos (2π + 5π/3)

this angle is greater than or equal to 0 and less than 2π.

= cos (5π/3)

Finding the angle with equivalent trigonometric values in the first quadrant. Also, cos is positive in the 4th quadrant.

= cos (π/3)

= 1/2

Hence, cos (11π/3) = 1/2

c. tan (11π/3) = tan (2π + 5π/3)

this angle is greater than or equal to 0 and less than 2π.

= tan (5π/3)

Finding the angle with equivalent trigonometric values in the first quadrant. Also, tan is negative in the 4th quadrant.

= -tan (π/3)

= -\(\sqrt{3}\)

Hence, tan (11π/3) = -\(\sqrt{3}\)

d. cot (11π/3) = 1/ tan (11π/3)

Hence, cot (11π/3) = - 1/ \(\sqrt{3}\)

e. sec (11π/3) = 1/ cos (11π/3)

Hence, sec (11π/3) = 2

f. cosec (11π/3) = 1/ sin (11π/3)

Hence, cosec (11π/3) = -2/ \(\sqrt{3}\)

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Using the information in the given diagram, the value of the missing angle is: m∠1 = 75°

The transverse line theorem states that If two parallel lines are cut by a transversal, then corresponding angles are congruent. Two lines cut by a transversal are parallel IF AND ONLY IF corresponding angles are congruent.

Now, when we draw a horizontal line parallel to lines a and b and directly cutting across the vertex of angle 1, we can see that angle 1 will be composed of two angles.

Now, for the transverse line theorem we can say that:

Angle 1 will be composed of two angles namely:

48 degrees and (180 - 153) degrees.

Thus:

m∠1 = 48° + 27°

m∠1 = 75°

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Answer:

17

Step-by-step explanation:

Use a graph bro and use pythagorean theorem on it

The reconciliation for Bane can be summarized as,

Adjusted bank balance = $1380.

A bank reconciliation is defined as a method which is used to match the balances for a cash account in an organization's records of accounting with the bank statement.

Given that,

Beginning checkbook balance is $1400.

Service charge = $20

Adjusted balance = $1400 - $20 = $1380

Also, given that,

Ending balance on the statement = $1480

Deposit in transit = $200

Checks outstanding = $300

Adjusted balance = $1480 + 200 - 300

                              = $1380

Hence the adjusted balance is $1380.

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Answer:

Step-by-step explanation:

(x-8)/2 = -5

x - 8 = -10

x = -2

(y+5)/2=0

y + 5 = 0

y = -5

(-2, -5)

The correct proof of the equation is cos3θ =cos(2θ + θ) =  cos²θ - 3cosθsin²θ (Proved)

Given the trigonometry identity below:

cos3∅=cos²∅-3cos∅sin²∅

We are to prove that both sides of the equation are equal.

cos 3θ = cos(2θ + θ)

Using the double angle formula for cosine, we can expand the first term:

cos(2θ + θ) = cos2θ cos θ - sin2θ sinθ

Since cos2θ = cos²θ - sin²θ

cos(2θ + θ) =  cos²θ - sin²θ - 2cosθsinθsinθ

cos(2θ + θ) = cos²θ - sin²θ - 2cosθsin²θ

On simplifying, we can see that;

cos3θ =cos(2θ + θ) =  cos²θ - 3cosθsin²θ (Proved)

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As a result, choice C is the equation that best represents the algebraic tiles since we only need to determine the total or difference.

It is possible either multiply, distribute, add, or negate in mathematics. The trying to follow is how a expression is put together: Number, expression, and scientific operator The ingredients of a mathematical expression include numbers, variables, and operations (such as addition, subtraction, multiplication or division etc.) It is possible to combine expressions and phrases. An expressions, often known as an arithmetic operation, is any mathematical statement that contains variables, numerals, and a numerical operation between them. That instance, the word m there in given equation is separated from the terms 4m and 5 by the arithmetic symbol +, as is the variable m in the phrase 4m + 5.

given

To address this issue, we just need to determine the total or difference that yields 2x2 + 2x + 2

Option A: ( x2 + 4x -2) + (x2 - 2x - 4) = 2x2 + 2x - 6

Option B: ( x2 + 4x - 2 ) + ( x2 + 2x + 4 ) = 2x2 + 6x + 2

Option C: ( x2 + 4x - 2) - ( -x2 + 2x - 4)= x2 + 4x - 2 + x2 - 2x + 4

= 2x2 + 2x + 2

As a result, choice C is the equation that best represents the algebraic tiles since we only need to determine the total or difference.

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The complete question is:-

Select the correct answer.

Which sum or difference is modeled by the algebra tiles?

A. (-x2 + 2x + 3) − (x2 − 2x − 1) = -2x2 + 2

B. (-x2 + 2x + 3) − (-x2 + 2x + 1) = -2x2 + 2

C. (-x2 + 2x + 3) + (-x2 + 2x + 1) = -2x2 + 2

D. (-x2 + 2x + 3) + (-x2 − 2x − 1) = -2x2 + 2

According to the equation the given all necessary math work are:

\(A: (x -f)^2 +(y -g)^2 = h^2\)

B:  domain: [-5, 11]; range: [-9, 7]

C:  yes, inside

The hypοtenuse's square is equal tο the sum οf the squares οf the οther twο sides if a triangle has a straight angle (90 degrees), accοrding tο the Pythagοras theοrem. Keep in mind that BC² = AB² + AC² in the triangle ABC signifies this. Base AB, height AC, and hypοtenuse BC are all used in this equatiοn. The lοngest side οf a right-angled triangle is its hypοtenuse, it shοuld be emphasized.

Part A:

Use οf the Pythagοrean theοrem gets yοu tο the equatiοn fοr a circle in essentially οne step:

sum οf squares οf sides = square οf hypοtenuse

\((x -f)^2 +(y -g)^2 = h^2\) . . . . . . circle cantered οn (f, g) with radius h

Part B:

The circle will be defined fοr values οf x in the dοmain f ± h, and fοr values οf y in the range g ± h.

dοmain: 3 ± 8 = [-5, 11]

range: -1 ±8 = [-9, 7]

Part C:

The distance frοm pοint (10, -4) tο (f, g) is ...

\(h^2 = (10 -3)^2 +(-4 -(-1))^2\)

\(h^2 = 7^2 +(-3)^2 = 49 +9 = 58\)

h = √58 < 8 . . . . the distance tο the pοint is less than h=8.

The pοint is inside the circle.

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Answer:

For the parallel line it will still have a slpoe of 2/3

Step-by-step explanation:

as for the perpendicular line it will be double like 4/6 so it can meet it at a 90° angle.

-3.2(-5.6)(4)

= -3.2 - 5.6 x 4

= -3.2 - 22.4

= -25.6

Vaishyas were merchants and farmers, Shudras were manual laborers, and Dalits, also known as Untouchables, were considered outside the caste system and faced significant social and economic discrimination.

These are the traditional castes or social classes in Hinduism. The Brahmins were highly respected as they were members of this highest caste. Priest, scholars, and teachers were some of the jobs in this cast so I chose praying hands and a book to represent them.

The praying hands shows they were religious leaders who passed down oral and written traditions. The book represents the teachers in this caste, they would share knowledge and Information about their way of life.

Kshatriyas were warriors and rulers,

However, the caste system has been officially abolished in India, and discrimination based on caste is now illegal.

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A .The canoe left the campsite did the motorboat catch up with it 3 hrs and 40 minutes

B . The motorboat travel at 1 hr 40 minutes

A group of campers and one group leader left a campsite in a canoe.

They traveled at an average rate of 10 km/h.

1st Group DATA:

rate = 10 km/h ; distance = x km ; time = d/r = x/10 hrs

Two hours later, the other group leader left the campsite in a motorboat.

He traveled at an average rate of 22 km/h.

Group Leader DATA:

rate = 22 km/h ; distance = x km ; time = d/r = x/22 hrs

A. How long after the canoe left the campsite did the motorboat catch up with it?

Group time - Leader time = 2 hr

x/10 - x/22 = 2

Multiply thru by 110 to get:

11x - 5x = 220

6x = 220

x = 110/3 = km

canoe total time = x/10 = (110/3)/(10) = 11/3 = 3 hrs and 40 minutes

B. How long did the motorboat travel?

motorboat time = x/22 = (110/3)/22 = 1 hr 40 minutes

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16/36, 24/54, 32/72 and 40/90.

these are the equivalent fractions of 8/18

PLEASE MARK MY ANSWER AS BRAINLIEST

Answer:

16/36, 4/9, 24/54, 32/72

Answer:

Our three numbers are 8, 48, and 16.

Step-by-step explanation:

Let the first, second, and third numbers be x, y, and z, respectively.

The sum of them is 72. In other words:

\(x + y + z = 72\)

The second number y is three times the third number z. So:

\(y = 3z\)

And the third number z is eight more than the first number x. So:

\(z = x + 8\)

To find the numbers, solve for the system. We can substitute the last two equations into the first:

\(x + (3z) + ( x + 8) = 72\)

Substitute again:

\(\displaystyle x + 3(x+8) + x+8 = 72\)

Solve for x. Distribute:

\(x+3x+24+x+8=72\)

Combine like term:

\(5x + 32 = 72\)

Subtract:

\(5x = 40\)

And divide:

\(x=8\)

Thus, the first number is eight.

And since the third number is eight more than the first, the third number z is 16.

The second number is three times the third. Thus, the second number y is 3(16) or 48.

Our three numbers are 8, 48, and 16.

The value of x is given as follows:

x = 16.2.

Similar triangles are triangles that share these two features listed as follows:

First we must obtain the bases, splitting the figure into two separate similar triangles, with equivalent dimensions given as follows:

Hence the proportional relationship used to obtain the value of y is given as follows:

16/y = 30/(34 - y)

Hence:

30y = 16(34 - y)

46y = 544

y = 544/46

y = 11.83.

Hence the bases are:

11.83 and 34 - 11.83 = 22.17.

Applying the geometric mean theorem, the value of x is given as follows:

x = sqrt(11.83 x 22.17)

x = 16.2.

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Answer: 40 pupils

Step-by-step explanation:

 35           14

-------   =   --------

100             ?

find the denominator.

multiply 14 and 100:

14 x 100 = 1400

divide 1400 by 35

1400/35 = 40

Therefore there are 40 students

The required image T of triangle ABC under the transformation (x,y) → (x-4, y+1) is formed by connecting the vertices A'(a-4, b+1), B'(c-4, d+1), and C'(e-4, f+1)

To find the image T of triangle ABC under the transformation (x,y) → (x-4, y+1), apply this transformation to each of the vertices of triangle ABC and then connect the new vertices to form the image T.

Let's assume that the coordinates of the vertices of triangle ABC are A(a,b), B(c,d), and C(e,f).

To find the image of vertex A under the transformation, we substitute x = a and y = b into the transformation equation:

(x,y) → (x-4, y+1)

(a,b) → (a-4, b+1)

Therefore, the image of vertex A is A'(a-4, b+1).

Similarly, we can find the images of vertices B and C:

B'(c-4, d+1)

C'(e-4, f+1)

Therefore, the image T of triangle ABC under the transformation (x,y) → (x-4, y+1) is formed by connecting the vertices A'(a-4, b+1), B'(c-4, d+1), and C'(e-4, f+1)

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Answer:

7

Step-by-step explanation:

First, we solve for j in the first equation:

4j+3=-5

4j=-8

j=-2

Now we plug j into j+9:

-2+9=7

So j+9 is 7

Answer:

R$ 5.938,12

Step-by-step explanation:

Para calcular o preço de venda sugerido, precisamos levar em consideração o custo do produto, as comissões sobre o custo, o ICMS sobre o preço de venda, o PIS e COFINS sobre o preço de venda e o IPI sobre o preço com impostos e comissões.

Custo do Produto: R$ 5.000,00

Comissões sobre o custo do produto: 2%

ICMS sobre o preço de venda: 7%

PIS e COFINS sobre o preço de venda: 3,65%

IPI sobre o preço com impostos e comissões: 5%

Vamos calcular os valores dos impostos e comissões separadamente primeiro:

Comissões sobre o custo do produto:

2% de R$ 5.000,00 = R$ 100,00

ICMS sobre o preço de venda:

7% de preço de venda = 7% de (Custo do Produto + Comissões)

7% de (R$ 5.000,00 + R$ 100,00) = R$ 350,00

PIS e COFINS sobre o preço de venda:

3,65% de preço de venda = 3,65% de (Custo do Produto + Comissões + ICMS)

3,65% de (R$ 5.000,00 + R$ 100,00 + R$ 350,00) = R$ 196,25

IPI sobre o preço com impostos e comissões:

5% de preço com impostos e comissões = 5% de (Custo do Produto + Comissões + ICMS + PIS/COFINS)

5% de (R$ 5.000,00 + R$ 100,00 + R$ 350,00 + R$ 196,25) = R$ 292,87

Agora, podemos somar todos esses valores ao custo do produto para obter o preço de venda sugerido:

Custo do Produto: R$ 5.000,00

Comissões: R$ 100,00

ICMS: R$ 350,00

PIS/COFINS: R$ 196,25

IPI: R$ 292,87

Preço de Venda Sugerido = Custo do Produto + Comissões + ICMS + PIS/COFINS + IPI

Preço de Venda Sugerido = R$ 5.000,00 + R$ 100,00 + R$ 350,00 + R$ 196,25 + R$ 292,87

Preço de Venda Sugerido = R$ 5.938,12

Portanto, o preço de venda sugerido para o produto, levando em consideração as informações fornecidas, é de R$ 5.938,12.

Answer:

Total money: $348.26

Step-by-step explanation:

Paige: $49.75

Nevaeh: 2.5*$49.75

Naomi: 3.5*$49.75

2.5*49.75 = 124.38

3.5*49.75 = 174.13

(I rounded the cents up.)

124.38

174.13

+49.75

$348.26

Hope this helps!! Have an awesome day C:

Answer:A z-score is measured in units of the standard deviation. ... is two, the value 11 is three standard deviations above (or to the right of) the mean. ... The following two videos give a description of what it means to have a data set that is “normally” distributed. ... The z-scores for µ+3σ and µ–3σ are +3 and –3 respectively.

Step-by-step explanation:

Answer:

expanded form:  x= (159)/(10) decimal form: 15.9 mixed number form: x= 15(9)/(10) hope im right

The difference between the median and mean income can be explained by the distribution of the data.

A data set's mean (average) is calculated by summing all of the numbers in the set, then dividing by the total number of values in the set. When data collection is ranked from least to greatest, the median is the midpoint. The mode is the number that occurs most often in a data set.

The median and mean are both measures of center used to describe a distribution of data. In this case, the median income of American households in 2021 is reported as $70,000, which means that half of the households have an income below $70,000 and a half have an income above $70,000.

On the other hand, the mean income of these same households in 2021 is reported as $100,000. This means that if we were to add up the income of all households and divide by the total number of households, we would get an average of $100,000 per household.

The difference between the median and mean income can be explained by the distribution of the data. If the data is symmetrically distributed around the center (i.e., the median), the mean and median will be similar. However, if the data is skewed, meaning it is not evenly distributed, then the mean and median will be different.

In this case, it is possible that a small number of households have very high incomes, which would pull up the mean income while not affecting the median income as much. This could explain why the mean income is higher than the median income.

It's also worth noting that while the median and mean income are both useful measures, they do not tell the whole story about income distribution.

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Answer:

2400

Step-by-step explanation:

x+y+z=147

x+(x+1)+(x+2)=147

3x+3=147

3x=144

x=48

The three consecutive positive numbers are 48, 49, and 50.

48 • 50 = 2400

Answer:

2400 just believe me I’m correct

Answer:

Quotient = 58.5

Step-by-step explanation:

Long division is a method used to divide large numbers by breaking the division down into multiple steps.

Parts of long division:

The divisor is placed to the left of the parenthesis.

The dividend is placed to the right of the parenthesis.

The quotient is placed above the dividend and separated from it by a bar.

To finish the given long division, subtract 64 from 68:

⇒ 68 - 64 = 4

Now divide the result by the divisor:

⇒ 4 ÷ 8 = 0.5

Finally, add 0.5 to 58 to give the final quotient:

⇒ 58 + 0.5 = 58.5

\(\large \begin{array}{r}58.5\\8{\overline{\smash{\big)}\,468\phantom{))}}}\\{-~\phantom{(}\underline{40\phantom{))..}}\\68\phantom{))}\\-~\phantom{()}\underline{\phantom{)}64\phantom{))}}\\4\phantom{))}\\-~\phantom{()}\underline{\phantom{)}\phantom{)}4\phantom{))}}\\0 \phantom{))}\\\end{array}\)

Therefore, from inspection of the given long division:

Answer:

y = m x + b    standard form of straight line

y = 2 x + 5

The slope is m and = 2

the y intercept is 5  because when x = o y = 5

if y = 0 then x = -2/5 and would be the x intercept

x is the independent variable and y is the dependent variable

I am not familiar with your definitions for domain and range but

both x and y can vary from -∝ to = ∝

Answer:

Step-byHow do I calculate the mean?

The mean can be calculated only for numeric variables, no matter if they are discrete or continuous. It's obtained by simply dividing the sum of all values in a data set by the number of value

-step explanation:

46+57+66+63+49+52+61+68= 462/8 the total number of observation

the answer 57

Divide 1000 by 38:

1000/ 38 = 26.316

Use the whole number and multiply it by 38:

26 x 38 = 988

The number is 988

Answer:  " x = 7 ".
____

{Note:  If one is interested, the following information provides a "step-by-step" explanation.}:

____

Method 1)

Make a ratio:
"(2x + 10) : 40 :: 3:5 " ;

Write this ratio in the form of a fraction:
→ " \(\frac{(2x+10)}{40}=\frac{3}{5}\) ";
Cross-factor multiply :
Note:  Given:  " \(\frac{a}{b} = \frac{c}{d}\) " ; "\(ad = bc\)" ; ["\(b\neq 0 ; d\neq 0\)"] ;
→As such: " \(5(2x+10) = 3 * 40\) "  ; Solve for "x";
⇒  { 5(2x + 10} / 5 =  (3 * 40)/5 ;  ⇒   2x + 10  = 120/5 ;

to get:  2x + 10  = 24 ;
   →  or:  "{5(2x + 10}/5 = \(\frac{4*30}{5}\) ";

⇒ On the "right-hand side" of the equation:
       The "30" in the numerator cancels to "6" ; and the "5" in the denominator cancels to "1" ; {since:  "30÷5 = 6" ; & since: "6÷6 = 1"} ;

and we can rewrite the equation:
⇒ 2x + 10 = 24 ; → Subtract "10" from each side of the equation:
  → 2x + 10 - 10 = 24 - 10 ;  to get:  " 2x = 14 " ;

⇒Now, divide each side of the equation by "2" ;

to isolate "x" on one side of the equation; & to solve for "x" :
→ 2x/2 = 14/2 ;  to get:  " x = 7 " .
________
Alternately, when we have:  " 2x + 10 = 24 " ; we can simplify this equation by dividing each side of the equation by "2" ;
________
⇒  {2x+10}/2 = {24/2} ;  
to get:  → (2x/2) + (10/2) = (24/2); → to get: "x + 5 = 7" ;

⇒ Then:  Subtract "5" from each side of the equation; to isolate "x" on one side of the equation; & to solve for "x" ;
⇒ x + 5 - 5 = 12 - 5 ;    to get:  " x = 7 " ;
________

Method 2)

Write this ratio in the form of a fraction:
     →    " \(\frac{(2x+10)}{40}=\frac{3}{5}\) " ;  
Cross-factor multiply :
Note:  Given:  " \(\frac{a}{b} = \frac{c}{d}\) " ; "\(ad = bc\)" ; ["\(b\neq 0 ; d\neq 0\)"] ;
As such:   →  " \(5(2x+10) = 3 * 40\) "  ;
⇒ Now; to solve for "x" ;   → "  \(5(2x+10) = 3 * 40\)  " ;

⇒ Note: Re: the "left-hand side" of the equation:
________

 " 5(2x + 10) " ;

Note the "distributive property of multiplication" :
⇒  a(b + c)  =  ab + ac ;
As such:  
→  " \(5(2x+10)\) "  ↔= " (5*2x) + (5*10) = (10x) + (50) = 10x + 50 ;
→ Then, take note of the "right-hand side" of the equation:

⇒  (40*3) = 120 ;
→ Now, we can rewrite the equation as: " 10x + 50 = 120 " ;
⇒To solve for "x": We can subtract "50" from each side of the equation:
 ⇒  10x + 50 - 50 = 120 - 50 ;  →  to get:  "10x = 70 " ;
→  Now, we can divide each side of the equation by "10"; to isolate "x" on one side of the equation; & to solve for "x" ;
________
10x/10 = 70/10 ;  to get:  "x = 7" .
________
Alternately:  " 10x + 50 = 70 " ;  Solve for "x" ;  
→ Divide each side of the equation by "10"; to simplify the equation:
→{10x+50}/10 = 120/10 ; → (10x/10) + (50/10) = 12;
→ to get: → "x+5 = 12"; Then: Subtract "5" from each side of the equation; to isolate "x" on one side of the equation; & to solve for "x ;
→ x + 5 - 5 = 12 - 5 ;  → to get:  " x = 7 " ;
________

Alternately:  We have: "10x + 50 = 120"; Solve for "x";  
→ Factor out a "10" in the "left-hand-side" of the equation:
⇒ 10(a ± b) = 120 ; Now; Solve for "a" and for "b" :
⇒ To solve for a:  →" 10a=10x "; Divide each side of the equation by "10" ; to isolate "a" on one side of the equation; & to solve for "a":
⇒ "10a/10 = 10x/10"; to get: → a = ⁺1x = ⁺x ;  → "a = x";
⇒ To solve for b : " 10b = 50 ";  Divide each side of the equation by "10";
to isolate "b" on one side of the equation;  & to solve for "b" ;
⇒  " 10b/10 = 50/10 "; to get: "b = ⁺5";
→ So; we can rewrite the equation as: "10(x + 5) = 120"; →To solve for "x" ; ⇒ Let us divide each side of the equation by "10" ;

⇒"{10(x+5)}/10 = 120/10"; → to get: "x + 5 = 12" ;
→ Then:  Subtract "5" from each side of the equation;
to isolate "x" on one side of the equation; & to solve for "x";
→ x + 5 - 5 = 12 - 5 ; →  to get:  " x = 7 " ;
____

Alternately:    → "  \(5(2x+10) = 3 * 40\)  " ; Solve for "x" :
→ Divide each side of the equation by "5";
→ {5(2x+10}/ 5 = (3*40)/5 ;  → to get: 2x + 10 = (120)/5;
to get: "2x + 10 = 40" ; and then continue using any of the variant methods described above;  to get: "x = 7" .
____
The answer would be "x = 7 cm" ; but the question asks for only a numerical value; & since both [two of the three] given measurements (in the imaged attached) are in units of "cm" ["centimeters"], we shall assume the units of measurements are all the same (in "cm"); since there is no indication to the contrary.
____
Hope this helps!
____