(e) 21. Even though Mr. Gillespie is 89 years old and Mr. Matheson is 92 years old, they still
have jobs as product testers at High-Back Rocking Chairs Incorporated. If Mr. Gillespie
can rock a chair 28 times per minute, and Mr. Matheson can rock a chair 32 times per
minute, how many minutes will it take the two of them together to rock chairs a
(combined) total of 1,020 times?

Answer:

38

Step-by-step explanation:

RST = RSQ + QST

70 = 3x-10 + 2x

Combine like terms

70 = 5x-10

Add 10 to each side

70 + 10 = 5x-10+10

80 = 5x

Divide each side by 5

80/5 = 5x/5

16 =x

Now find QSR

QSR = 3x-10

       3*16 - 10

      48-10

     38

Answer:

              [tex]\underline{x\in\left\{-6\,,\ 1\right\}}[/tex]

Step-by-step explanation:

[tex]x^2+5x-6=0\\\\a=1\,,\ \ b=5\,,\ \ c=-6\\\\x_1=\dfrac{-5-\sqrt{5^2-4\cdot1\cdot(-6)}}{2\cdot1}=\dfrac{-5-\sqrt{25+24}}2=\dfrac{-5-\sqrt{49}}2=\dfrac{-5-7}2=-6\\\\x_2=\dfrac{-5+\sqrt{5^2-4\cdot1\cdot(-6)}}{2\cdot1}=\dfrac{-5+7}2=1[/tex]

Answer:

Step-by-step explanation: Answer is B-6,1

Answer:

The answer is explained below

Step-by-step explanation:

The location of point A = (-5, -1) and point B = (4, 1).

To find the coordinate of the point that divides a line segment PQ with point P at [tex](x_1,y_1)[/tex] and point Q at [tex](x_2,y_2)[/tex] in the proportion a:b, we use the formula for the x and y coordinates:

[tex]x-coordinate:\\\frac{a}{a+b}(x_2-x_1)+x_1 \\\\While \ for\ y-coordinate:\\\frac{a}{a+b}(y_2-y_1)+y_1[/tex]

P is One-fourth the length of the line segment from A to B, Therefore AB is divided in the ratio 1:4. The location of point A = (-5, -1) and point B = (4, 1).Therefore:

[tex]x-coordinate:\\\frac{1}{1+3}(4-(-5))+(-5)=\frac{1}{4}(9)-5=-\frac{11}{4} \\\\While \ for\ y-coordinate:\\\frac{1}{1+3}(1-(-1))+(-1)=\frac{1}{4}(2)-1=\frac{-1}{2}[/tex]

Therefore the coordinate of P is (-11/4, -1/2)

Answer:

the coordinate of P is (-11/4, -1/2)

x= -11/4

y= -1/2

c on edu

Step-by-step explanation:

edu 2021

Answer:

The answer is -p^3 r^5

Hope this helps :)

Answer:

[tex]=-p^3r^5[/tex]

Step-by-step explanation:

[tex]\left(-p\right)^3r^5\\\\\left(-p\right)^3\\\\\mathrm{Apply\:exponent\:rule}:\quad \left(-a\right)^n=-a^n,\:\mathrm{if\:}n\mathrm{\:is\:odd}\\\\\left(-p\right)^3=-p^3\\\\=-p^3\\\\=-p^3r^5[/tex]

Answer:

Step-by-step explanation:

Distribute 7 to the first number

7 * -3/4 = -21/4

-21/4 = 5  -1/4

Distribute 7 to the second number

7 * -3

= -21

Put the numbers together

They separated the parenthesis.

So it is still 7 * -3/4

and

7*-3.

Hope this helps,

Kavitha

Answer:

(a) 0.2824

(b) 0.0002441

Step-by-step explanation:

Assuming that the population is large enough to behave as a binomial distribution (between whites and non-whites), the probability of 12 out of 12 juros being white is:

[tex]P(w=12) = p(w)^{12}[/tex]

Where p(w) is the proportion of the population that is white:

(a) for p = 0.90

[tex]P(w=12) = 0.90^{12}\\P(w=12) =0.2824[/tex]

The probability is 0.2824.

(b) for p = 0.50

[tex]P(w=12) = 0.50^{12}\\P(w=12) =0.0002441[/tex]

The probability is 0.0002441.

Answer:

The 13th term is 67,108,864

Step-by-step explanation:

The term goes up by -4 so you times each number by -4 until you have reached the 13th term. for example 64*-4 is the 4th term, whatever you got for 64*-4 you times by -4 until you have reached the 13th sequence :)

Answer:

Area = 70    Perimeter = 50

Step-by-step explanation:

I will begin with area.  I can find the area of each figure, then add the areas.

3 • 18 = 54

4 • 4 = 16

Area = 70

For perimeter, I will add the given lengths.

3 + 18 + 7 + 4 + 4 + 14

Perimeter = 50

Answer:

Area: 70cm

Perimeter: 50cm

Step-by-step explanation:

The shape can be separated into 2 shapes to calculate the area, a rectangle and a square. The rectangle can be measured 18cm * 3cm and the square can be 4cm * 4cm. The rectangle's area is 54cm and the square is 16cm. Add both to find the area. 54+16= 70. To find the perimeter you just add all the sides together. 3+18+7+4+4+14= 50.

Answer:

9,020,406.27

Step-by-step explanation:

Answer:

9,020,406.27

Step-by-step explanation:

Answer:

P(XX) = 69/190

Step-by-step explanation:

Given:

20 balls, 10R, 3B, 7W.

Two taken without replacement.

Find probability of two identical colours.

P(XX)

Solution:

We use the multiplication rule for the probability of each of the 2 draws

P(RR) = 10/20*9/19 = 90/380

P(BB) = 3/20*2/19 = 6/380

P(WW) = 7/20*6/19 = 42/380

Probability of drawing two identical coloured balls

P(XX) = (90+6+42)/380 = 138/380 = 69/190

Answer:

4. -1/2 and 2

5. N and R

Step-by-step explanation:

Well if you want me too do 5 I’ll do 4 too.

So for #4 it’s actually pretty simple we just have to seperate y that’s it.

So first we have to get y by itself by subtracting 3x to the other side so the equation looks like this now [tex]6y=-3x+12[/tex].

Now we have to take away the 6 and to do that we divide it to all the numbers and variables. Which gets us [tex]y=-1/2x+2[/tex].

So m and b are -1/2 and 2.

So we have to graph y = -1/2x + 2 so look at the image below.

So looking at the image we can see it passes through the points N and R.

Answer:

The line passes through points N and R.

Step-by-step explanation:

I graphed the equation on the graph below.

Answer:

x ≈ 25.4 Km

Step-by-step explanation:

Using the tangent ratio in the right triangle on the right

tan54° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{opp}{17}[/tex] ( multiply both sides by 17 )

17 × tan54° = opp , thus

opp ≈ 23.4

-------------------------------------------

Using the cosine ratio in the right triangle on the left

cos23° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{23.4}{x}[/tex] ( multiply both sides by x )

x × cos23° = 23.4 ( divide both sides by cos23° )

x = [tex]\frac{23.4}{cos23}[/tex] ≈ 25. 4 Km ( to the nearest tenth )

Answer:

An inequality is a relation which makes a non equal comparison between two of more numbers or other mathematic equations. > I'd greater than < is less than = equal to. ≥ is greater than or equal ≤ less than or equal to. = equal to ≠ not equal

Step-by-step explanation:

Inequality- is a relation which makes a non-equal comparison between two numbers or other mathematical expressions.

Answer:

VA/VB = 8

Step-by-step explanation:

You have a sphere A with diameter 12, that is, radius 6, which can be written as follow:

[tex]V_A=\frac{4}{3}\pi r_A^3=\frac{4}{3}\pi (6)^3=288\pi[/tex]             (1)

The sphere A is dilated by a scale factor of one half to sphere B. Then, you have:

[tex]V_B=\frac{4}{3}\pi r_B^3=\frac{4}{3}\pi (\frac{6}{2})^3=36\pi[/tex]       (2)

From the results of equation (2) and (1) you can calculate the ratio VA/VB:

[tex]\frac{V_A}{V_B}=\frac{288\pi}{36\pi}=8[/tex]

The ratio of the volumes of both sphere A and B is 8

Answer:

8:1

Step-by-step explanation:

hope this helps

Answer:

3:2

Step-by-step explanation:

Ewen has 48 white tiles and 16 blue tiles

The cost of each white tile was £2

The cost of each blue tile was £4

Therefore the total cost of 48 white tiles is

= 48×2

= £96

The total cost of 16 blue tiles is

= 16×4

= £64

The ratio of the total cost of the white tiles and blue tile can be calculated by dividing the cost of both tiles by their greatest common factor

The greatest common factor of £96 and £64 is 32

96/32 = 3

64/32= 2

Ratio= 3:2

Hence the ratio of the total cost of the white tiles to the blue tiles is 3:2

Answer: the value of the integral is in the range:

0.006  ≤  int ≤  0.008

Step-by-step explanation:

First, we have the function

5*tan(3x), and the range in this case is: pi/12 ≤ x ≤ pi/9

Then, the first step is find the maximum and minimum of f(x) in this range.

We know that between 0 and pi/2, tan(x) is a growing function, then

then the limits are

5*tan(3*pi/9) = 5*tan(pi/3) = M=  0.091

5*tan(3*pi/12) = 5*tan(pi/4) =m = 0.069

Then the value of the integral is between:

0.069*(3.14/9 - 3.14/12) ≤  int ≤  0.091*(3.14/9 - 3.14/12)

0.006  ≤  int ≤  0.008

Answer:

Step-by-step explanation:

THE ANGLES THST LOOK LIKE CROSS AND HAVE A STRAIGHT LINE

Answer:

A

Step-by-step explanation:

edge 2023

Answer:

28%

Step-by-step explanation:

To find the percentage, you first have to divide:

35 out of 125 Which is 35 ÷ 125 = 0.28

Then you must convert that into a percentage:

0.28 = 28%

Hope this helps you out! : )

72% (percentage) of the students passed the exam.

Percentages are a fractional representation of numbers with the denominator as 100.

For example, if we consider x%, then this is x/100.

While determining the percentage, we multiply the fraction by 100.

In the question, we are informed that in an exam 35 out of 125 students failed.

We are asked to tell the percentage of students who passed the exam.

The number of students who passed the exam = The number of students who gave the exam - the number of students who failed = 125 - 35 = 90.

Therefore, the percentage of students who passed = the fraction of student passed * 100% = 90/125 * 100% = 72%.

Therefore, 72% (percentage) of the students passed the exam.

Learn more about percentages at

https://brainly.com/question/843074

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Answer:

The perimeter of the actual playground is 22000 units

Step-by-step explanation:

By measurement, the width of the scale drawing = 16 units

The breadth of the scale drawing = 6 units

Therefore, given that the scale is 1:500, we have that the actual dimensions of the playground are;

Actual width of the playground = 500×16 = 8,000 units

Actual breadth of the playground = 500×6 = 3,000 units

Therefore;

The perimeter of the actual playground = 2 × 8000 + 2 ×3000 =  22000 units.

Answer:

lines MP and NO are parallel

Step-by-step explanation:

they will never intersect

Answer:

mp and no are the parallel sides

Answer:

-3

Step-by-step explanation:

Given the function f(x) = -(-x)

we want to evaluate f(-3)

What we do simply here is substitute the value of -3 for x in the equation

That would be ;

f(-3) = -(-(-3)) = -(3) = -3

Answer:

6

Step-by-step explanation:

From the blue graph of f(x) we can see that the function value is -6 when x = 6.  Similarly, g(5) = -5.

Then:  4*f(6) - 6*g(5) becomes:

           4*(-6) - 6*(-5), or

              -24 +  30  = 6

The value of ⋅f(6)−6⋅g(5)= 6

An operation where two functions say f and g generate a new function say h in such a way that h(x) = g(f(x)).

Given:

From the blue graph we can see that

f(x)= -6 when x = 6.

Similarly, g(5) = -5.

thus,

4*f(6) - 6*g(5)

=3 4*(-6) - 6*(-5)

=-24 +  30

= 6

Learn more about this concept here:

https://brainly.com/question/20379727

#SPJ2

Answer:

En una semana, 1344 kilos

En un mes, 5760 kilos

Step-by-step explanation:

Tambo tiene 12 vacas y cada vaca produce un promedio de 16 litros por día.

Por lo tanto, en un día, las 12 vacas podrían producir:

12 * 16 = 192 litros

En una semana, las 12 vacas podrían producir:

192 * 7 = 1344 litros = 1344 kilos

En un mes, las 12 vacas podrían producir:

192 * 30 = 5760 litros = 5760 kilos

Answer:

143.6F

Step-by-step explanation:

Entonces la ecuación establecida es;

C = [tex]\frac{5F-160}{9}[/tex]

Entonces, para resolver el Celsius, debes hacer de F el tema que hago a continuación.

[tex]C = \frac{5F - 160}{9}\\C * 9 =( \frac{5F-160}{9}) *9\\9C - 5F = 5F -160 - 5F\\9C-5F =-160 \\-5F = -160 - 9C\\\frac{-5F}{-5} = \frac{-160-9C}{-5}\\[/tex]

∴[tex]F = \frac{-160-9C}{-5}[/tex]

Ahora ingresamos los valores y resolvemos para F

F = [tex]\frac{-160 - 9(62)}{-5}[/tex]

  =[tex]\frac{-160-558}{-5}[/tex]

  = [tex]\frac{-718}{-5}[/tex]

  = 143.6

∴ 62C = 143.6F

Hey there! I'm happy to help!

To find our answer, we simply multiply the amount of water per mile by the number of miles to find the total amount Phillip drank!

2/3×4 1/2=3

Therefore. Phillip will drink 3 pints of water if he runs 4 1/2 miles.

Have a wonderful day! :D

Answer:

f(x + 1) = Five-halves f(x) (A)

Question:

The complete question as found in brainly( ID:13525864) is stated below.

Pablo generates the function f(x) = three-halves (five-halves) Superscript x minus 1 to determine the xth number in a sequence.

Which is an equivalent representation?

f(x + 1) = Five-halvesf(x)

f(x) = Five-halvesf(x + 1)

f(x + 1) = Three-halvesf(x)

f(x) = Three-halvesf(x + 1)

Step-by-step explanation:

f(x) = (3/2)(5/2)^(x-1)

Where 3/2 = three-halves and 5/2 = (five-halves)

To determine an equivalent representation, let's assign values to x to see the outcome and compare it with the options.

f(x) = (3/2)(5/2)^(x-1)

For x = 1

f(x) = (3/2)(5/2)^(1-1) = (3/2)(5/2)^(0)

f(x) =(3/2)(1) = 3/2

For x = 2

f(x) = (3/2)(5/2)^(2-1) = (3/2)(5/2)^(1)

f(x) =(3/2)(5/2)

So from the above assigned values

f(x=1) = 3/2

f(x=2) = f(x + 1) = f(1 + 1)

f(x + 1) = (3/2)(5/2)

Since f(x) = 3/2

f(x+1) = (3/2)(5/2) = f(x) × 5/2 = 5/2f(x)

From the options, an equivalent representation: f(x + 1) = Five-halves f(x)

(A)

Answer:

f(x + 1) = [tex]\frac{5}{2}[/tex]f(x)

Step-by-step explanation:

Answer:Y=9

Step-by-step explanation:

Answer:

Y=9

Step-by-step explanation:

Took the test and got 100%.

Answer:

-200, 0 and -5

Step-by-step explanation:

Area can never be zero or negative.

Answer:

Your Perimiter is 42

Step-by-step explanation:

Distance from 7,5 to -7,5 is 14

Distance from -7,5 to -7,-2 is 7

Then we double both those numbers as it is a rectangle

2l + 2w = Per...

28 + 14 = 42

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