what is the measure of Arc XY

Answer:

A. (1, 10).

Step-by-step explanation:

I'm going to assume that it is 2*5^x, then

2 * 5^1

= 2 * 5 = 10.

So a point on the grapg is (1, 10).

(0, 1) is on the graph of [tex]f(x)=2.5^{x}[/tex].

Graph is a mathematical representation of a network and it describes the relationship between lines and points.

Given function

[tex]f(x)=2.5^{x}[/tex]

Drawing this function in a graph we can see that (0, 1) is on the graph.

Hence,

(0, 1) is on the graph of [tex]f(x)=2.5^{x}[/tex].

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Answer:

Step-by-step explanation:

[tex]\left\{\begin{array}{ccc}12x=76-20y&\text{change the signs}\\8x=84-20y\end{array}\right\\\\\underline{+\left\{\begin{array}{ccc}-12x=-76+20y\\8x=84-20y\end{array}\right}\qquad\text{add both sides of the equations}\\.\qquad-4x=8\qquad\text{divide both sides by (-4)}\\.\qquad x=-2\\\\\text{put the value of x to the second equation}\\\\8(-2)=84-20y\\-16=84-20y\qquad\text{subtract 84 from both sides}\\-100=-20y\qquad\text{divide both sides by (-20)}\\5=y\to y=5[/tex]

Answer:

d. y = 0.1x+ 200

Step-by-step explanation:

His weekly salary is 200, that is the y intercept

He makes 10%   (.10 in decimal form) of his weekly sales, that is the slope

y= mx+b

y = .1x+200

Answer:

x = -2

x = -10

Step-by-step explanation:

Step 1 : Rearrange

x² + 12x + 20 = 0

Step 2: Factorise

(x + 2)(x + 10)

Step 3: Find the roots / values of x

Make each bracket equal zero.

(x + 2) = x = -2

(x + 10) = x = -10

Hope this helps!

Answer: -2 PLEASE GIVE BRAINLIEST

Step-by-step explanation:

Subbing 8 for x

-5(-8)-5y=50

Simplifying

40 + -5y = 50

Solving

40 + -5y = 50

Solving for variable 'y'.

Move all terms containing y to the left, all other terms to the right.

Add '-40' to each side of the equation.

40 + -40 + -5y = 50 + -40

Combine like terms: 40 + -40 = 0

0 + -5y = 50 + -40

-5y = 50 + -40

Combine like terms: 50 + -40 = 10

-5y = 10

Divide each side by '-5'.

y = -2

Simplifying

y = -2

Answer:

5

Step-by-step explanation:

If x=5...

2/3(5)=10/3

That would be true.

Answer:

x=5

Step-by-step explanation:

2/3 x = 10/3

Multiply each side by 3

3 *2/3 x = 10/3*3

2x = 10

Divide each side by 2

2x/2 = 10/2

x = 5

Answer:

undefined

Step-by-step explanation:

Answer:

It's the image that is more compressed. This is because the period is decreased.

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

20*5=100

Answer:

10 meters

Step-by-step explanation:

Let at 100 degrees Celsius, the aluminum bar is x m long.

We have been given that aluminum bar is 2 m long at a temperature of 20 degrees Celsius.

Thus, we have the equation

[tex]\frac{2}{20}=\frac{x}{100}[/tex]

Solve the equation for x

[tex]x=\frac{2\times100}{20}\\\\x=10[/tex]

Thus, at 100 degree Celsius, the aluminium bar is 10 meters long.

Answer:

tan(45°) = 1

Step-by-step explanation:

We know that sin (45°) = √2/2, and cos(45°) = √2/2.

Given that tan(x) = sen(x) / cos(x), we get:

tan(45°) = (√2/2) / (√2/2) = 1

Therefore, tan(45°) = 1

Attached you will find the important angles summary

Answer:

Step-by-step explanation:

We will use the pattern f(x)= a(b)^t where a is the initial value, b is the base of the exponent. All these questions are about exponent function

A) Number of trout fish in the pound = 7 , it means a =7

population increases double every year. It means b=2

f(x)= a(b)^t

f(x)=7(2)^t

B) Cost of machine = $3000

The value depreciated every year = 7%

It means 100%-7%= 93% which is equal to 0.93

Therefore,

a = 3000

b = 0.93

f(x)= a(b)^t

f(x)=3000(0.93)^t

C) Initial population of a colony of ants = 300

The number of ants increase at a rate of 1.5%

It means 100%+1.5%=101.5%

101.5% = 1.015

Therefore,

a= 300

b = 1.015

f(x)= a(b)^t

f(x)=300(1.015)^t

D) A research laboratory is testing a new vaccine on 300 infected cells

The decay rate is 1.5% per minute

It means 100%-1.5% =98.5%

98.5% = 0.985

Therefore,

a = 300

b = 0.985

f(x)= a(b)^t  

f(x)= 300(0.985)^t ....

Answer:

D

Step-by-step explanation:

To convert from polar to rectangular form

• x = rcosΘ , y = rsinΘ

• r = [tex]\sqrt{x^2+y^2}[/tex] ⇒ r² = x² + y²

Given

r = 8cosΘ

r = 8 × [tex]\frac{x}{r}[/tex] ( multiply both sides by r )

r² = 8x, hence

x² + y² = 8x ⇒ D

Answer:

The correct answer is D

Step-by-step explanation:

Plato

Answer:

the third side is √11

Step-by-step explanation:

By Pythagoras theorem, we can find the third side

c^2 = a^2 + b^2

if a = √2

b = 3

then,

c^2 = a^2 + b^2

c^2 =(√2)^2 + (3)^2

c^2 = 2+9

c^2 = 11

Taking square root on both sides:

√c^2 = √11

c = √11

So, the third side is √11

Answer:

P=0.954 or 95.4%

Step-by-step explanation:

Using the formula for the standardized normal distribution to find Z:

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

Where μ is the mean (μ=20) and σ is the standard deviation (σ=2.6).  

[tex]Z_{1} =\frac{14.8-20}{2.6}=-2.0[/tex]

[tex]Z_{1} =\frac{25.2-20}{2.6}=2.0[/tex]

In the table of the normal distribution, we can look for positive values z, and these values are going to represent the area under the curve between z=0 and the values searched. the negatives values are found by symmetry (with the corresponding positive value but remember this area is under the left side of the curve).  To find a value in the table, find the units in the first column and the follow over the same row till you find the decimals required.

[tex]P_1=0.4772[/tex]

[tex]P_2=0.4772[/tex]

[tex]P_1[/tex] represents the probability of length being between 14.8 and 20 (the mean) and [tex]P_2[/tex] represents the probability of length being between 20 and 25.2, The requested probability is the sum of these two.

[tex]P=P_1+P_2=0.954[/tex]

Answer:

95%

Step-by-step explanation:

Answer:

x ≥ -2; -2 ≤ x

Step-by-step explanation:

Your number line shows a closed diamond -2.

That shows that 2 is a member of the solution set.

One interpretation of the inequality is

x ≥ -2

Another inequality with the same solution set is

-2 ≤ x

Answer:

x≥ -2

-2≤x

Step-by-step explanation:

In the given number line, the arrow is towards right. We know that if the arrow is towards right then the sign of the inequality is greater than >

Now, at the end point, which is 2, there is a solid circle. Hence, we must include 2 in our solution set.

Thus, there must be ≥ sign.

Hence, the inequality is x≥ -2

We can rewrite this as -2≤x

Sixth and seventh options are correct.

Answer: The base of the square is 52.67

Step-by-step explanation:

256=1/2bh

b=base

h=height

256=1/2(12)b

256=6b

52.67=b

Answer:

1) y = (x + 8)² + 7; 5) y = (x - 6)² + 10; 7) y = (x - 3)² - 4

Step-by-step explanation:

Complete the square in order to figure these out. To complete the square, use the formula [½B]². Each time you do this, you get a perfect trinomial in the form of a product of two monomials [h], then you have to figure out how much more to deduct from or add on to your C they gave you in each exercise [k].

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Answer:

250

Step-by-step explanation:

If Bulan's team rows their boat at a rate of

2

minutes per

500

meters, they row at a rate of

1

minute per

250

meters. We know this because

1

minute is

1

2

of

2

minutes, and in this time, they will have to have rowed

1

2

the distance they would row in

2

minutes (

500

m).

1

2

of

500

is

250

.

So, we now have the rate in min/m.

If, every

1

minute, Bulan's team rows

250

meters, this means that every

250

meters, they have rowed for

1

minute.

Bulan's team's rowing rate in m/min is

250

m/

1

min.

Answer with explanation:

Speed of rowing boat by Bulan is given as:

→ 2 Minute = 500 meter

→ 1 Minute = 250 Meter

So, Bulan Rowing rate is equal to

  [tex]250 \frac{\text{meter}}{\text{minute}}[/tex]

Answer:

(6, - 31)

Step-by-step explanation:

The equation of a parabola in vertex form is

y = a(x - h)² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

f(x) = (x - 6)² - 31 ← is in vertex form

with vertex = (6, - 31 )

Answer:

Option D is correct.

Step-by-step explanation:

We are given c = 12

m∠B = 27°

a = 9

We need to find b

We would use Law of Cosines

[tex]b = a^2 + c^2 -2ac\,cosB[/tex]

Putting values and solving

[tex]b^2 = (9)^2 + (12)^2 -2(9)(12)\,cos(27°)\\b^2 = 81 + 144 - 216(0.891)\\b^2 = 81 + 144 - 192.456\\b^2 = 32.54\\taking\,\,square\,\,roots\,\,on\,\,both\,\,sides\\\\\sqrt{b^2} = \sqrt{32.54}\\ b = 5.7[/tex]

So, Option D is correct.

Answer:

D. 5.7

Step-by-step explanation:

We have been given that in △ABC,c=12, m∠B=27°, and a=9. We are asked to find the value of b.

We will use law of cosines to solve for b.

[tex]b^2=a^2+c^2-2ac\cdot \tect{cos}(B)[/tex]

Upon substituting our given values in law of cosines, we will get:

[tex]b^2=9^2+12^2-2\cdot 9\cdot 12\cdot {cos}(27^{\circ})[/tex]

[tex]b^2=81+144-216\cdot 0.891006524188[/tex]

[tex]b^2=225-192.457409224608[/tex]

[tex]b^2=32.542590775392[/tex]

Now, we will take square root of both sides of our equation.

[tex]b=\sqrt{32.542590775392}[/tex]

[tex]b=5.70461136059[/tex]

[tex]b\approx 5.7[/tex]

Therefore, the value of b is 5.7 and option D is the correct choice.

Net pay is the gross pay after all the deductions.

1. Net pay = 980 - 156.00 - 60.76 - 14.21 = 749.03

The answer is A.

2. Total deductions = Gross pay - Net Pay:

980 - 749.03 = 230.97

The answer is A.

Answer:

A. $749.03

A. $230.97

Step-by-step explanation:

Jones's total deductions are :

[tex]156+60.76+14.21=230.97[/tex] dollars

His gross pay = $980

Net pay = gross pay - deductions

Net pay = [tex]980-230.97=749.03[/tex] dollars

Part A: Net pay is : A. $749.03

Part B : total deductions are : A. $230.97

Answer:

C. x-5y = 12 and 3x+2y = -15

Step-by-step explanation:

We need to substitute the solution into the equations

A. x-5y = -12 and 3x+2y = -15

    -3 -5(-3) = -12

   -3 +15 = -12

  False

B. x-5y = -12 and 3x+2y = 15

 -3 -5(-3) = -12

   -3 +15 = -12

  False

C. x-5y = 12 and 3x+2y = -15

 -3 -5(3) = 12      3(-3) +2(-3) = -15

   -3 -15 = 12          -9 -6 = -15

  True                     True

D. x-5y = 12 and 3x+2y = 15

-3 -5(3) = 12      3(-3) +2(-3) = 15

   -3 -15 = 12         -9 -6 = 15

  True                       False

Answer:

D

Step-by-step explanation:

The line segments drawn from each vertex of the triangle and intersecting at H are the Altitudes of the triangle.

The point H is called the Orthocenter

Answer:

D. Ortho-center.

Step-by-step explanation:

We have been given an image of a triangle. We are asked to find the term that describes point H.

We can see that point H is the point, where, all the altitudes of our given triangle EFF are intersecting.

We know that ortho-center of a triangle is the point, where all altitudes of triangle intersect. Therefore, point H is the ortho-center of our given triangle and option D is the correct choice.

Answer:

the degree measure of pie/4 is 45

Step-by-step explanation:

=pie/4

=180/4

=45

The basic formula that need to be recalled is:

Circular Area = π x R²

Circle Circumference = 2 x π x R

where:

R = radius of circle

The area of sector:

[tex]\text{Area of Sector} = \frac{\text{Central Angle}}{2 \pi} \times \text{Area of Circle}[/tex]

The length of arc:

[tex]\text{Length of Arc} = \frac{\text{Central Angle}}{2 \pi} \times \text{Circumference of Circle}[/tex]

Let us now tackle the problem!

This problem is about conversion unit of angles

Remember that :

[tex]\large {\boxed {1 \pi ~ \text{radians} = 180^o} }[/tex]

[tex]\frac{\pi}{4} = \frac{1}{4} \times 180^o = \boxed {45^o}[/tex]  

Another Example:

[tex]\frac{\pi}{6} = \frac{1}{6} \times 180^o = \boxed {30^o}[/tex]  

[tex]\frac{\pi}{3} = \frac{1}{3} \times 180^o = \boxed {60^o}[/tex]  

[tex]\frac{\pi}{2} = \frac{1}{2} \times 180^o = \boxed {90^o}[/tex]

[tex]\frac{3\pi}{2} = \frac{3}{2} \times 180^o = \boxed {270^o}[/tex]

[tex]\frac{3\pi}{4} = \frac{3}{4} \times 180^o = \boxed {135^o}[/tex]

[tex]\frac{4\pi}{3} = \frac{4}{3} \times 180^o = \boxed {240^o}[/tex]

Grade: College

Subject: Mathematics

Chapter: Trigonometry

Keywords: Sine , Cosine , Tangent , Opposite , Adjacent , Hypotenuse, Circle , Arc , Sector , Area , Radian , Degree , Unit , Conversion

Answer:

B

Step-by-step explanation:

you cannot have to same x

Hence , Option B  set is not a function

A function is an equation which states relation between x and y variable.

a-{(5,2),(4,2),(3,2),(2,2),(1,2)}

Here, x: x>1 ,x∈N, hence function is possible.

b. {(−4,−2),(−1,−1),(3,2),(3,5),(7,10)}

here ,x can't be established as same x has different values.

c. {(−8,−3),(−6,−5),(−4,−2),(−2,−7),(−1,−4)}

Here, every x has it's unique value hence function can be established.

d. {(−6,4),(−3,−1),(0,5),(1,−1),(2,3)}

Here, every x has it's unique value , hence function can be established.

∴option B - {(−4,−2),(−1,−1),(3,2),(3,5),(7,10)} is one from which we can't establish function.

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Answer: $1578

Step-by-step explanation:

1) Take your discount rate of 3.5% and convert it to decimal form (0.035)

2) Then, 0.035 * 13.5 = 1.59109

3) 1.59109 * 992 = $1578

Answer:

Part A: OC. 16π square inches

Part B: OC. 36π square inches

Step-by-step explanation:

Part A:

Given

Diameter of circular picture = d = 8 inches

We need to find the radius first to find the area

So,

Rdius = r = d/2 = 8/2 = 4 inches

[tex]Area = \pi r^2\\= \pi *(4)^2\\= 16\pi\ square\ inches[/tex]

Therefore, option C is the correct answer..

Part B:

As two inches frame is added around the picture, the diameter will become 8+4 =12 inches

The new radius will be:

r = 12/2 = 6

So,

[tex]Area\ with\ frame = \pi r^2\\=\pi *(6)^2\\=36\pi\ square inches[/tex]

Therefore, option C is correct ..

Answer:

d. 45%

Step-by-step explanation:

In total there are 30 + 25 = 55 students in total that like rock. From these there are 25 who are in grades 11-12. This makes that (25/55) * 100% = 45.45% of the students that like rock are in grades 11-12.

Answer: d. 45%

Step-by-step explanation:

According to the frequency table there are 30 sudents who like rock in grades 9-10 and 25 students that like rock and are in grades 11-12.

25 ÷ 55 = n ÷ 100          

25 · 100 = 55 · n      

2500 ÷ 55 = n         n  = 45.454545        n = 45%

55 is the total amount of students that like rock

25 is the total amount of students that like rock in grades 11-12

100 is the total percentage

[tex]\bf (\stackrel{x_1}{10}~,~\stackrel{y_1}{-9})~\hspace{10em} slope = m\implies -2 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-(-9)=-2(x-10)\implies y+9=-2(x-10)[/tex]

The function f(x) = -3x is always decreasing, has a domain of all real numbers, and also has a range of all real numbers. The statement about the function always increasing is false.

When considering the function f(x) = -3x, we can evaluate its properties to determine which statements are true. First, since the coefficient in front of x is negative, the function has a negative slope, indicating that it is always decreasing, not increasing. This rules out the first statement.

Second, the domain of this function is indeed all real numbers because there are no restrictions on the values that x can take in the equation. So, the second statement is true.

Third, because x can take on any real number value and there's a constant multiplier of -3, the output can also take on any real number value, but will always be the opposite sign of x or zero. This means the range of the function is also all real numbers. Therefore, the statement about the range is incomplete as provided, but it is true that the range of f(x) is all real numbers.