The difference of a number and fifteen is two. Write and Algebra Sentence then solve the number.

Answer:

x=−3

Step-by-step explanation:

Answer:

Jim is 36. Anna is 27.

Step-by-step explanation:

63 -9 = 54

54 ÷ 2 = 27

27 + 9 = 36

Anna's age is 39 years old while Jim's age is 63-year old based on the formation of the equation for their age.

Determine the known quantities and designate the unknown quantity as a variable while trying to set up or construct a linear equation to fit a real-world application.

Let's say Anna's age is A while Jim's age is J.

As per the given,

Anna is 9 years less than twice Jim's age.

A = 2J - 9

And,

Sum A + J = 63

By solving both equations,

63 - J = 2J - 9

63 + 9 = 3J

J = 24 years old.

A = 2(24) - 9 = 39 years old.

Hence "Anna's age is 39 years old while Jim's age is 63-year old based on the formation of the equation for their age".

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Answer:

625 inches

Step-by-step explanation:

so technically you are trying to find the area of the poster so...

25(25) = 625

so you would need 625in

Area of wall needed for the poster is equal to \(\boldsymbol{625}\) square inches.

The area of a the double region, form, or planar lamination in the planes is the quantity that describes its extent.

Measurement of the poster is \(25\) inches by \(25\) inches.

Therefore,

Area of wall needed for the poster \(=\boldsymbol{25\times 25}\)

                                                          \(=\boldsymbol{625}\) square inches

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The maximum daily profit the company can earn is $2,350.

It is a set of points in a coordinate plane that represents the values of the function for different inputs.

The function P(x) = −6x² + 156x + 1,000 models the daily profit of the company, where x is the number of $5 price increases for each solar panel. The graph of the function has a vertex at approximately (15, 2350), which represents the maximum point on the graph.

Therefore, the maximum daily profit the company can earn is $2,350.

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the value is find the valu of y and it willl be x

Answer:

(2x +12) + (3x +23) = 180

5x + 35 = 180

5x = 145

x = 29

2(29) + 12

58 + 12

70

180 - 70 = 110

y = 110

or

3(29) + 23

87 + 23

110

corresponding angles are equal

y = 110

The lines CA and CD are tangents to the circle O, hence; EA = 4, AB = 15, m∠ABO = 90°, m∠ODC = 90°, and m∠EAB = 30°.

The tangent to a circle theorem states that a line is tangent to a circle if and only if the line is perpendicular to the radius drawn to the point of tangency

If OB = 6 and AB = 8, then;

OA = √(8² + 6²) {by Pythagoras rule}

OA = √100

OA = 10

EA = OA - OE(radius)

EA = 10 - 6 = 4

If DE = 16 and EA = 9, then;

OA = (diameter/2) + EA

OA = 8 + 9 = 17

AB = √(17² - 8²)

AB = √225

AB = 15

OB is perpendicular to line CA tangent to the circle so m∠ABO = 90°

OD is perpendicular to the line CD tangent to the circle so m∠ODC = 90°

If m∠DOB = 120° then;

120° = m∠ABO + m∠EAB {exterior angle of a triangle is equal to the two opposite interior angles}

m∠EAB = 120° - 90°

m∠EAB = 30°

In conclusion, for the lines tangent to the circle, we have that;

EA = 4, AB = 15, m∠ABO = 90°, m∠ODC = 90°, and m∠EAB = 30°

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Answer:

y=x+7

y=7x+y

=7xy

Step-by-step explanation:

right answer is 7xy

9514 1404 393

Answer:

  (b)  m∠1 = 67.4°, m∠2 = 104.5°

Step-by-step explanation:

It is easiest to find angle 2 first, then make your answer selection based on that.

The exterior angle 121.8° is the sum of the remote interior angles 17.3° and angle 2. Then ...

  angle 2 = 121.8° -17.3° = 104.5° . . . . . . . matches the second choice

__

Angle 2 is an exterior angle of the top triangle. It, too, is the sum of the remote interior angles:

  104.5° = angle 1 + 37.1°

  angle 1 = 104.5° -37.1° = 67.4°

Answer:

C!

Step-by-step explanation:

m∠1 = 75.5°, m∠2 = 67.4°

The remainder theorem code piece D can be used to determine if (x + 2) is a factor of 3x^3 + x^2 -4.

The Remainder Theorem tells us that, in order to evaluate a polynomial p(x) at some number x = a, we can instead divide by the linear expression x − a. The remainder, r(a), gives the value of the polynomial at x = a.

The remainder theorem can be used to determine if a factor can actually divide a polynomial.

If x+ 2 is a factor then f(-2) should be 0

substitute x = -2 in the function

\(3(-2)^{3} + (-2)^{2} -4\) = -24\(\neq\) 0

Therefore (x+2) is not a factor of the polynomial

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The effect of the decrease on the salary of $54000 will be b. Benefit would decrease by $7,020 annually.

Social security is the safety net that a society offers to individuals and families to ensure that they have access to health care and to assure financial stability, particularly in circumstances of old age, unemployment, illness, invalidity, work injuries, maternity, or the death of a primary earner.

One possible solution to a diminishing Social Security payroll is to decrease the Social Security benefit by 13%. The effect of the decrease will be:

= 13% × $54000

= $7020

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The points 2, -1+i√3, and -1-i√3 form an equilateral triangle on the Argand plane.

To prove that the points 2, -1+i√3, and -1-i√3 form an equilateral triangle on the Argand plane, we need to show that the distances between these points are equal.

Let's calculate the distances between the points using the distance formula:

Distance between 2 and -1+i√3:

d₁ = |2 - (-1+i√3)|

= |3 - i√3|

= √(3² + (√3)²)

= √(9 + 3)

= √12

= 2√3

Distance between -1+i√3 and -1-i√3:

d₂ = |-1+i√3 - (-1-i√3)|

= |-1+i√3 + 1+i√3|

= |2i√3|

= 2√3

Distance between -1-i√3 and 2:

d₃ = |-1-i√3 - 2|

= |-3 - i√3|

= √((-3)² + (√3)²)

= √(9 + 3)

= √12

= 2√3

We have shown that the distances between the three pairs of points are all equal to 2√3.

Therefore, the points 2, -1+i√3, and -1-i√3 form an equilateral triangle on the Argand plane.

To find the length of a side of this equilateral triangle, we can take any of the distances calculated above. In this case, each side of the triangle has a length of 2√3.

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Answer:

Obtuse and the rest of the question is incomplete.

Step-by-step explanation:

Li's annual interest rate is 8.5%

We know that ,I=Prt.

First, we have to find the interest / I. In the question is asked: '' he had earned $2975 in interest" so we know that the Interest/ I is $2,975.      

$2,975= $17,500/P*r*2/t in years   (Substitute)                                                    

$2,975= 35,000r                             (Multiply)                                              

$2,975/35,000= $35,000r/$35,000 (Divide each side by $35,000)                          

$2,975/$35,000=0.085                                                                                          

Covert the decimal 0.085 to a percent.

To do so multiply the decimal by 100  0.085*100= 8.5, add the percent sign and you got the answer 8.5%                          

Li's annual interest rate is 8.5% (we were finding the rate/r)

Hence , Li's annual interest rate is 8.5% .

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Answer: x=1   x=2

Step-by-step explanation:

x²-3x+2=0

x²-x-2x+2=0

(x²-x)-(2x-2)=0

x(x-1)-2(x-1)=0

(x-1)(x-2)=0

x-1=0

x-1+1=0+1

x=1

x-2=0

x-2+2=0+2

x=2

The traveler must walk 17 blocks to reach the State Building.

The traveler needs to walk 8 blocks from the intersection of Orovada Street and Washington Avenue to the State Building.

She also knows that the intersection of Orovada Street and Washington Avenue is 5 blocks from the intersection of Wyoming Street and Washington Avenue, so she needs to walk 5 blocks from the intersection of Wyoming Street and Washington Avenue to the intersection of Orovada Street and Washington Avenue.

Also, the traveler had to walk 4 blocks to get from the intersection of Wyoming Street and Green Avenue to the intersection of Orovada Street and Green Avenue.

Therefore, the traveler must walk 8 + 5 + 4 = 17 blocks to reach the State Building.

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Answer:

y = \(\sqrt{55}\)

Step-by-step explanation:

using the Altitude- on- Hypotenuse theorem

(altitude)² = product of parts of hypotenuse

then

y² = 11 × 5 = 55 ( take square root of both sides )

y = \(\sqrt{55}\)

To find all points on the x-axis that are 16 units away from the point (5, -8), we can use the distance formula. The distance between two points (x₁, y₁) and (x₂, y₂) is given by the formula:

d = √((x₂ - x₁)² + (y₂ - y₁)²)

In this case, the y-coordinate of the point (5, -8) is -8, which lies on the x-axis. So, any point on the x-axis will have a y-coordinate of 0. Let's substitute the given values and solve for the x-coordinate.

d = √((x - 5)² + (0 - (-8))²)

Simplifying:

d = √((x - 5)² + 64)

Now, we want the distance d to be equal to 16 units. So, we set up the equation:

16 = √((x - 5)² + 64)

Squaring both sides of the equation to eliminate the square root:

16² = (x - 5)² + 64

256 = (x - 5)² + 64

Subtracting 64 from both sides:

192 = (x - 5)²

Taking the square root of both sides

√192 = x - 5

±√192 = x - 5

x = 5 ± √192

Therefore, the two points on the x-axis that are 16 units away from the point (5, -8) are:

Point 1: (5 + √192, 0)

Point 2: (5 - √192, 0)

In summary, the points on the x-axis that are 16 units away from the point (5, -8) are (5 + √192, 0) and (5 - √192, 0).

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Answer:

11

Step-by-step explanation:

Answer:

11

Step-by-step explanation:

Answer:

Step-by-step explanation:

\(\frac{d}{dx} [cos(3x^2) \sqrt[3]{5x^3 -1} +sin(4x^3)]^4\\\\=4[cos(3x^2) \sqrt[3]{5x^3 -1} +sin(4x^3)]^3\; \frac{d}{dx} [cos(3x^2) \sqrt[3]{5x^3 -1} +sin(4x^3)] --- eq(1)\)

Lets look at the derivative part:

\(\frac{d}{dx} [cos(3x^2) \sqrt[3]{5x^3 -1} +sin(4x^3)] \\\\= \frac{d}{dx}[cos(3x^2) \sqrt[3]{5x^3 -1} ] + \frac{d}{dx}[sin(4x^3)]\\\\=cos(3x^2) \frac{d}{dx}[ \sqrt[3]{5x^3 -1} ] + \sqrt[3]{5x^3 -1}\frac{d}{dx}[ cos(3x^2) ] + cos(4x^3) \frac{d}{dx}[4x^3]\\\\=cos(3x^2) \frac{1}{3} (5x^3 -1)^{\frac{1}{3} -1} \frac{d}{dx}[5x^3 -1] + \sqrt[3]{5x^3 -1} (-sin(3x^2))\frac{d}{dx}[ 3x^2] + cos(4x^3)[(4)(3)x^2]\)

\(=\frac{cos(3x^2) 5(3)x^2}{3(5x^3 - 1)^{\frac{2}{3} }} -\sqrt[3]{5x^3 -1}\; sin(3x^2) (3)(2)x + 12x^2 cos(4x^3)\\\\=\frac{5x^2cos(3x^2) }{(5x^3 - 1)^{\frac{2}{3} }} -6x\sqrt[3]{5x^3 -1}\; sin(3x^2) + 12x^2 cos(4x^3)\)

Substituting in eq(1), we have:

\(\frac{d}{dx} [cos(3x^2) \sqrt[3]{5x^3 -1} +sin(4x^3)]^4\\\\=4[cos(3x^2) \sqrt[3]{5x^3 -1} +sin(4x^3)]^3\; [\frac{5x^2cos(3x^2) }{(5x^3 - 1)^{\frac{2}{3} }} -6x\sqrt[3]{5x^3 -1}\; sin(3x^2) + 12x^2 cos(4x^3)]\)

162

Step-by-step explanation:

(12 square - 15 + 17) + 16

=(144 - 15 + 17) + 16

=146 + 16

=162

Answer:

A.Reject Upper H0 because the​ P-value is less than or equal to to α.

B.There is sufficient evidence to support the claim that the percentage of adults that would erase all of their personal information online if they could is more than 51​%.

Step-by-step explanation:

Given the claim :

Less than 51% will erase their personal information :

We take this as the null ;

H0 < 0.51 ;

Alternative hypothesis which is the opposite of the Null

H1 > 0.51

P value = 0.0148

α = 0.05

At α = 0.05 ; if p value is less than α ; reject the the Null

If p value is greater than Null ; then we fail to reject the Null

Pvalue < α

The P value is less than 0.05; then we reject the Null

B.) There is significance evidence to support the Alternative hypothesis claim, that the percentage of adult that would erase all their personal information online if they could is more Than 51%

Answer:

On the x-axis, the time is being measured with hours as the unit; on the y-axis you have temperature being measured in degrees fahrenheit

Answer:

D

Step-by-step explanation:

The only option with coordinates within the triangle is D.

Coordinates included within the triangle. (-1, 0), (-1, -2), and (-1, -1)

(-1, -1) is the only one listed in the given options.

Answer:

400 litres

Step-by-step explanation:

Answer:

-8.66666666666666666666666666666666666

-9

Step-by-step explanation:

P(z<2.04) is approximately 0.9793 or 97.93% (rounded to two decimal places).

We can use a table or a calculator that offers the cumulative distribution function (CDF) of the standard normal distribution to determine the area under the standard normal curve below a specified value of z.

The chance that a standard normal random variable is less than or equal to a specified value is provided by the CDF.

In this case, we want to find the value of P(z<2.04), which represents the probability that a standard normal random variable is less than 2.04. Using a table or a calculator, we can look up the value of the CDF at z = 2.04, which is approximately 0.9793.

Therefore, we can say that the value of P(z<2.04) is approximately 0.9793, or about 97.93% (rounded to two decimal places).

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Answer:

19

Step-by-step explanation:

Let us solve the parenthesis first according to PEDMAS (Parenthesis, Exponent, which ever comes first from left to right Multiplication and Division, which every comes first from left to right Addition and Subtraction.)

x=6, y=2

4x-12

Substitute using the given values

4*6 - 12 = 24 - 12 = 12

xy - 5

Substitute using the given values

6*2 - 5 = 12 - 5 = 7

Add up the two answers because we need to find the value of (4x - 12) + (xy - 5)

12 + 7 = 19

The answer is 19

Hope this helps :)

Have a nice day!