look ate the picture down below, and please help me i would really appreciate it

Answer:

p = q

Step-by-step explanation:

There are 180 degrees in a triangle. If you subtract 50 and 60 from 180, you get 70. If you subtract 30 an 80 from 180, you get 70. therefore p = q.

Answer:

Option A.Exponential decay, 55% decrease

Step-by-step explanation:

we have

[tex]f(x)=54(0.45)^{x}[/tex]

This is a exponential function of the form

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

where

a is the initial value

b is the base

b=(1+r)

r is the rate of change

In this problem

a=54

b=0.45

so

0.45=1+r

r=0.45-1

r=-0.55

Convert to percentage

r=-55% ------> is negative because is a exponential decay

Answer:

Exponential decay, 55% decrease

Step-by-step explanation:

[tex]f(x) = 54(0.45)^x[/tex]

General exponential growth function is [tex]y=a(1+r)^x[/tex]

exponential growth function is [tex]y=a(1-r)^x[/tex]

The value of 1-r is less than 1 then it is exponential decay

In the given f(x) , the 1-r is 0.45 that is less than 1

So it is exponential decay.

[tex]1-r= 0.45[/tex]

Subtract 1 on both sides

[tex]r=0.55[/tex]

Multiply by 100 to get %

r= 55%

Exponential decay, 55% decrease

Answer:

  84.8 in³

Step-by-step explanation:

The formula for the volume of a cylinder is ...

  V = πr²h

The volume Mary will be filling will be 3/4 of the 9-inch height of the vase, so is ...

  V = π(2 in)²(3/4·9 in) = 27π in³ ≈ 84.8 in³

_____

Comment on the answer

In more conventional units of measure, that is very nearly 3 pints of water.

Answer:

10x

Step-by-step explanation:

Note the place values of the value 3 in both of the decimals.

The value of the 3 in 46.132 is in the hundredths place.

The value of the 3 in 8.553 is in the thousandths place.

Divide thousands with hundreds: 1000/100 = 10

The value of the 3 in 46.132 is 10x larger than the value of 3 in 8.553

~

The inverse of the function f(x) = x + 2 is found by swapping the variables and solving for y, resulting in f^-1(x) = x - 2.

The function f(x) = x + 2 is a simple linear function in Mathematics. The inverse of any function can be found by swapping the x and the y, and then solving for y. In this case, step-by-step, it would work like this:

So the inverse of the function f(x) = x + 2 is f^-1(x) = x - 2.

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The inverse of the function f(x) = x + 2 is found by switching the roles of x and y and solving for y, resulting in the inverse function h(x) = x - 2. None of the provided options is correct.

To determine the inverse of the function f(x) = x + 2, you need to first replace f(x) with y, resulting in the equation y = x + 2. Next, swap x and y to get x = y + 2. Solve for y to find the inverse function: y = x - 2. Therefore, none of the options provided is the correct inverse of the function f(x) = x + 2. The correct inverse is h(x) = x - 2.

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Answer:

5.5% per year

Step-by-step explanation:

Using Formula A = P (1 + rt)

Where

A = Final amount = $10,000 + $6,600  = $16,600

P = Principal = Beginning Amount = $10,000

t = time = 12 years

r = rate in $/year (which we need to find)

Assembling the formula

A = P (1 + rt)

16,600 = 10,000 (1 + 12r)

[tex]\frac{16,600}{10,000}[/tex] = 1 + 12r

1.66 = 1 + 12r

1.66 - 1 = 12r

0.66 = 12 r

r = 0.055 = 5.5%

Answer:

[tex]AB =3 \sqrt{5} = 6.708203932...[/tex]

Step-by-step explanation:

[tex]A( - 1,6) \:,\: B(5,3)\\ AB = \sqrt{{(x1 - x2)}^{2} + {(y1 - y2)}^{2} } \\ AB = \sqrt{ {( - 1 - 5)}^{2} + {(6 - 3)}^{2} } \\ AB = \sqrt{ {( - 6)}^{2} + {(3)}^{2} } \\ AB = \sqrt{36 + 9} \\ AB = \sqrt{45} = 3 \sqrt{5} = 6.708203932...[/tex]

The distance between A and B to 3 significant figure is 6.71

The formula for calculating the distance between two points is expressed as:

[tex]D =\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Given the coordinate points (-1, 6) and (5, 3)

Substitute the given coordinates into the formula;

[tex]D =\sqrt{5+1)^2+(3-6)^2}\\D =\sqrt{(6^2+(-3)^2}\\D=\sqrt{36+9}\\D=\sqrt{45}\\D= 6.71\\[/tex]

Hence the distance between A and B to 3 significant figure is 6.71

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Answer:

see below

Step-by-step explanation:

Events are independent when the probability of one of them does not depend on the other one. That is, P(A|B) = P(A) and P(B|A) = P(B).

They are not independent if the above condition is not met.

A quick assessment of the given table shows ratios of one row to the next are different between columns, and vice versa. Hence the events are not indpendent.

Answer:

  7.5 ft

Step-by-step explanation:

The distance can be found using the Pythagorean theorem. The given distances form the legs of a right triangle, and the ending distance (d) between the players is its hypotenuse. The Pythagorean theorem tells you ...

  d² = (6 ft)² +(4.5 ft)² = 36 ft² +20.25 ft²

  d² = 56.25 ft² = (7.5 ft)² . . simplifying and rewriting as a square

  d = 7.5 ft . . . . . . . . . . . . . . . taking the positive square root

The ball must be passed a distance of 7.5 ft for it to reach between players.

_____

If you recognize the given numbers as having the ratio 3:4, then you may realize they are the legs of a 3-4-5 right triangle with a scale factor of 1.5. The distance between players will be 1.5×5 = 7.5 feet.

Answer:

[tex]\boxed{\text{7.5 ft}}[/tex]

Step-by-step explanation:

If the players are running perpendicular to each other, we have a right triangle, as in the diagram below.

We can apply Pythagoras' Theorem.

[tex]\begin{array}{rcl}a^{2} & = & b^{2} + c^{2}\\& = & 4.5^{2} + 6^{2}\\& = & 20.25 +36\\& = & 56.25\\a & = & \sqrt{56.25}\\& = & \mathbf{7.5}\\\end{array}\\\text{The distance between the two players will be } \boxed{\textbf{7.5 ft}}[/tex]

Answer:

11.15 packs of paper are used in 5 days; therefore, 133.85 are left

Step-by-step explanation:

Set this up as ratio with days on top and packs of paper on the bottom.  Filling in the ratio with the info we have, keeping in mind we are looking for packs of paper left after 5 days:

[tex]\frac{days}{packs}:\frac{65}{145}=\frac{5}{x}[/tex]

Cross multiply to get 65x = 725 and x = 11.15.  This represents the number of packs used.  To get the number of packs remaining, subtract 11.15 from 145 to get 133.85 remaining after 5 days.

Answer:

-6

Step-by-step explanation:

8,-6,-3,4,7 rearranged in ascending order produces -6, -3, 4, 7, 8.

-6 is the least of these scores (i. e., -6 is the lowest score).

Final answer:

Jack's least score from his last 5 card games is -6, as it is the smallest number in the set of his scores.

Explanation:

The question involves identifying the least score from a set of given numbers. To find the least score, Jack's scores from the last 5 card games are considered: 8, -6, -3, 4, 7.

Upon reviewing these numbers, it can be determined that -6 is the least because it is the smallest number and also it has a negative value, which makes it less than all the positive scores or any potential zero scores. Thus, the least of Jack’s scores is -6.

Answer:

I want to say that the answer is C.

Hope this helps!

Answer:

x = 9

Step-by-step explanation:

Those are chords of a circle, and the theorem to find x is, in this context:

6(3) = 2(x) so

18 = 2x and

x = 9

Answer:

its one

Step-by-step explanation:

ape x legends

Answer:

Step-by-step explanation:

the translation (x,y) --> (x+6,y-4):

(1, 5)--> (1+6,5-4)=(7,1)

(2, 2)--> (2+6,2-4)=(8,- 2)

(6, 3)--> (6+6,3-4)=(12,- 1)

the image of A triangle has vertices of (1, 5), (2, 2), and (6, 3) is :

the triangle has vertices of (7, 1), (8,- 2), and (12, -1)

Hello There!

-The Numbers Ordered From Least To Greatest-

-59   -41   -23   -11

The closer the number is to zero, it is going to be a bigger number than a number far away from zero.

Answer:

The vertex of the parabola is (2 , 2) ⇒ answer B

Step-by-step explanation:

* Lets revise the equation of a parabola

- The equation is in the form (x − h)² = 4p (y − k), where h and k are the

 vertex of the parabola

- If  p > 0, the parabola opens up  

- If p < 0, the parabola opens down

* Lets solve the problem

∵ The equation of the parabola is (x - h)² = 4p (y - k)

∵ The equation of the parabola is (x - 2)² = -12 (y - 2)

- By comparing the two equations

∴ 4p = -12 ⇒ divide both sides by 4

∴ p = -3 ⇒ -3 < 0

∵ p < 0

∴ The parabola opens down

- From the two equations

∴ h = 2 ⇒ the x-coordinate of the vertex

∴ k = 2 ⇒ the y-coordinate of the vertex

∴ The vertex of the parabola is (2 , 2)

The vertex of the given parabola (x - 2)^2 = -12(y - 2) is at the point (2, 2), which corresponds to Option B.

The vertex of the parabola defined by the equation (x - 2)^2 = -12(y - 2) can be found by identifying the point (h, k), where the equation fits the general form (x \\- h)^2 = 4p(y \\- k). Here, h and k represent the coordinates of the vertex, and p indicates the distance from the vertex to the focus or directrix. The given equation can be rearranged to match the general form with h = 2 and k = 2, making the vertex (2, 2). Hence, the correct answer is Option B.

Answer:

The equation of the nth term is an = -621 + 42n

Step-by-step explanation:

* Lets revise the arithmetic sequence

- There is a constant difference between each two consecutive numbers

- Ex:

# 2  ,  5  ,  8  ,  11  ,  ……………………….

# 5  ,  10  ,  15  ,  20  ,  …………………………

# 12  ,  10  ,  8  ,  6  ,  ……………………………

* General term (nth term) of an Arithmetic sequence:

- U1 = a  ,  U2  = a + d  ,  U3  = a + 2d  ,  U4 = a + 3d  ,  U5 = a + 4d

- Un = a + (n – 1)d, where a is the first term , d is the difference

  between each two consecutive terms

, n is the position of the term

* Lets solve the problem

∵ an = a + (n - 1)d

∴ a14 = a + (14 - 1)d

∴ a14 = a + 13d

∵ a14 = -33

∴ a + 13d = -33 ⇒ (1)

- Similar we can find another equation from a15

∵ a15 = a + (15 - 1)d

∴ a15 = a + 14d

∵ a15 = 9

∴ a + 14d = 9 ⇒ (2)

- We will solve equations (1) and (2) to find a and d

* Lets subtract equation (2) from equation (1)

∴ (a - a) + (13 - 14)d = (-33 - 9)

∴ -d = -42 ⇒ × both sides by -1

∴ d = 42

- Substitute this value of d in equation (1) or (2)

∵ a + 13d = -33

∵ d = 42

∴ a + 13(42) = -33

∴ a + 546 = -33 ⇒ subtract 546 from both sides

∴ a = -579

* Now lets write the equation of the nth term

∵ an = a + (n - 1)d

∵ a = -579 and d = 42

∴ an = -579 + (n - 1) 42 ⇒ open the bracket

∴ an = -579 + 42n - 42

∴ an = -621 + 42n

* The equation of the nth term is an = -621 + 42n

Answer:

x=7 satisfy the equation, so it is the solution.

x=4 doesn't satisfy the equation so it is extraneous solution.

Step-by-step explanation:

The equation given is:

[tex]\sqrt{x-3}+5=x[/tex]

Adding -5 on both sides

[tex]\sqrt{x-3}=x-5[/tex]

Taking square on both sides

[tex](\sqrt{x-3})^2=(x-5)^2[/tex]

Now solving

[tex]x-3 = x^2 -10x+25\\Arranging\\x^2-10x-x+3+25=0\\x^2-11x+28=0\\Factorizingx^2-7x-4x+28=0\\\\x(x-7)-4(x-7)=0\\(x-4)(x-7)=0\\x-4=0 \,\,and\,\, x-7=0\\x=4 \,\,and\,\, x=7[/tex]

Verifying solutions:

Putting x=4 in the equation

[tex]\sqrt{x-3}+5=x[/tex]

[tex]\sqrt{4-3}+5=4[/tex]

[tex]\sqrt{1}+5=4[/tex]

[tex]1+5=4[/tex]

[tex]6\neq 4[/tex]

So, x=4 doesn't satisfy the equation so it is extraneous solution.

Now Putting x=7 and verifying

[tex]\sqrt{x-3}+5=x[/tex]

[tex]\sqrt{7-3}+5=7[/tex]

[tex]\sqrt{4}+5=7[/tex]

[tex]2+5=7[/tex]

[tex]7=7[/tex]

x=7 satisfy the equation, so it is the solution.

Answer:

= 7

Step-by-step explanation:

Answer:

a 16

Step-by-step explanation:

16 x 12 = 192 plates

496 total plates - 192 = 304

304 packages of 8 plates

304 / 8 = 38 sets of 8 plates

38 + 16 = 54 packs of plates

Answer:

  16.5 ft by 25.5 ft

Step-by-step explanation:

Let w represent the width of the garden in feet. Then w+9 is the garden's length, and w(w+9) represents its area.

The surrounding walkway adds 8 feet to each dimension, so the total area of the garden with the walkway is ...

  (w+8)(w+9+8) = w^2 +25w +136

If we subtract the area of the garden itself, then the remaining area is that of the walkway:

  (w^2 +25w +136) - (w(w+9)) = 400

  16w + 136 = 400 . . .simplify

  16w = 264 . . . . . . . . subtract 136

  264/16 = w = 16.5 . . . . . width of the garden in feet

  w+9 = 25.5 . . . . . . . . . . .length of the garden in feet

Answer:

C. [tex]490 \textrm{ units}^{2}[/tex]

Step-by-step explanation:

The formula for surface area is

LA + 2B

LA indicated Lateral Area and can be found multiplying perimeter of base by the height.

7 + 7 + 14 + 14 = 42 * 7 = 294

Multiply the LA from above with the area of base times 2.

98 * 2 = 196

294 + 196 = 490, so the surface area of the rectangular prism is 490 units.

To find the surface area of a rectangular prism, add up the areas of all six faces by multiplying length by width.

To find the surface area of a rectangular prism, you need to add up the areas of all six faces. Each face is a rectangle, so to find the area, you multiply the length by the width. Then, you add up the areas of all the faces to get the total surface area.

For example, if the length of one side is 4 units, the width is 2 units, and the height is 3 units, the surface area would be:
Face 1: 4 units x 2 units = 8 square units
Face 2: 4 units x 2 units = 8 square units
Face 3: 4 units x 3 units = 12 square units
Face 4: 4 units x 3 units = 12 square units
Face 5: 2 units x 3 units = 6 square units
Face 6: 2 units x 3 units = 6 square units
Total surface area: 8 + 8 + 12 + 12 + 6 + 6 = 52 square units.

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Answer:

Mean = 47.52 degrees

Step-by-step explanation:

We will use the following method to find the mean

Class interval     Frequency(f)     Class Mark(X)     fx

40-44                      3                              42               126

45-49                      4                              47               188

50-54                     10                             52               520

55-59                      6                              57               342

60-64                      2                              62               124

.........................................................................................................

                               25                                                1188

.........................................

The formula for mean is:

Mean = ∑fx / ∑f

= 1188/25

= 47.52 degrees

The computed mean is less than the actual mean of 51.8 degrees ..

Answer:

C) 4,850

Step-by-step explanation:

                  No. of

LED bulbs : CFL bulbs : Total

       2        :        3         :    5

   5000     :     7500     : 12 500

Percentage of non-defective LED bulbs = 100% - 3% = 97%

No. of non-defective LED bulbs = 97% x 5000 = 4850

Answer:

B. 10.

Step-by-step explanation:

This is the number of combinations of 3 from 5.

5C3  = 5! / 3! (5-3)!

= 5*4*3*2*1 / 3*2*1 * 2*1

= 5*4/2*1

= 10.

Answer: 10 i think

Step-by-step explanation:

Answer:

There is a 1 and 6 chance (16.666...%)

Answer:

h = 2 and k = 6

Step-by-step explanation:

Since the lines intersect at (- 3, 1) then this is the solution to the system of equations.

That is x = - 3 and y = 1

Substitute these values into the equations and solve for h and k

hx - 4y = - 10

- 3h - 4 = - 10 ( add 4 to both sides )

- 3h = - 6 ( divide both sides by - 3 )

h = 2

Similarly

kx + 3y = - 15

- 3k + 3 = - 15 ( subtract 3 from both sides )

- 3k = - 18 ( divide both sides by - 3 )

k = 6

Answer:

Step-by-step explanation:

The zeros are where the graph crosses the x-axis (y=0). They are x=-2 and x=4.

The factors are the binomials that are zero when x has the value of a zero:

  y = (x +2)(x -4)

Answer:

The last choice availablle

Step-by-step explanation:

The way you can tell the points the function has in common with the x-axis (also known as the solutions, roots, or zeros of the functiion) you have to factor it to solve for x.  When you throw this into the quadratic formula you get that there is a negative under the square root sign, which is indicative of imaginary solutions.  Imaginary solutions do NOT cross the x-axis.  So the answer to your problem is the last choice.

Answer:

21 jk

Step-by-step explanation:

Answer:

  -8

Step-by-step explanation:

For roots r and s, the quadratic can be factored ...

  f(x) = (x -r)(x -s) = x^2 -(r+s)x +rs

Then the value of r^2+s^2 can be determined from the coefficient of x (-(r+s)) and the constant (rs) by ...

  r^2 +s^2 = (-(r+s))^2 -2(rs) = (r^2 +2rs +s^2) -2rs = r^2 +s^2

Comparing this to your given equation, we have the coefficient of x as (-2m) and the constant term as (m^2+2m+3). Forming the expression ...

  (x-coefficient)^2 -2(constant term)

we get ...

  r^2 +s^2 = (-2m)^2 -2(m^2 +2m +3) = 2m^2 -4m -6

  r^2 +s^2 = 2(m -1)^2 -8

The minimum value of this quadratic expression is where m=1 and the squared term is zero. That minimum value is -8.