What does a equal in this problem

Answer:

(x, y) is transformed into (y, -x)

This is the last option (option I) in the list of possible answers.

Step-by-step explanation:

Notice the transformation in the point you picked: (-6,4), which from this coordinates change into the point (4,6) after the rotation about the origin.

Notice that the value "4" which was the original "y" value of the point, now became the "x" value for the transformed point.

So so far we have:  (..., y) transformed into  (y, ...)

now,notice that the value "-6" which was the original x=value for the point, after the transformation appeared in the new "y" position, and with the signed reversed (from -6 into +6), so it became the new x value but with opposite sign.

Then we can complete how the transformation can be represented:

(x, y) is transformed into (y, -x)

This is the last option (option I) in the list of possible answers.

The calculated common ratio of the sequence is 4/5

How to determine the common ratio of the sequence

From the question, we have the following parameters that can be used in our computation:

[tex]F(n) = 45 \cdot (\frac45)^{n - 1}[/tex]

By definition:

A geometric sequence is represented as

[tex]F(n) = ar^{n-1}[/tex]

Where, the common ratio is r

By comparison and using the above as a guide, we have the following:

r = 4/5

Hence, the common ratio of the sequence is 4/5

Question

A sequence is defined by F(n) = 45 • (4/5) ^n-1.

What is its common ratio

Answer: B) (x-1)2+(y+1)2= 25 radius = 5 miles

Step-by-step explanation:

In order to get this answer you see that you are adding a negative to x in the first part then multiplying it by 2. Second, you add y+1 then multiplying it by 2. You get the radius of 25 which equals 5 miles. Look at the graph to also check your answers to the problem.

Answer:

B) (x-1)2+(y+1)2= 25 radius = 5 miles

Step-by-step explanation:

Equation of a circle:

(x - h)² + (y - k)² = r²

(h,k) = (1, -1)

r = 5

(x - 1)² + (y - -1)² = 5²

(x - 1)² + (y + 1)² = 25

Answer:

24 boxes to drop down

Step-by-step explanation:

Answer:

I think

1st box:2.22

2nd box:2.14

3rd box:0.30

4th box:0.19

And the last one I’m not sure I just guessed ‍♂️

Step-by-step explanation:

Answer:

272.04

Step-by-step explanation:

We must make a weighted average, as follows:

Each mean will have its weight, which would be the number of observations, therefore, the initial mean has a weight of 100.

And the final mean that we do not know its value but if its 94 (100 - 6) and the other mean that it is 688 and its weight is 6, we have the following equality:

100 * 297 = 688 * 6 + 94 * x

x would be the final mean, solving:

x = (29700 - 4128) / 94

x = 272.04

average after removing those 6 is 272.04

Answer:

[tex]c=-x^{2} +24x[/tex]

Step-by-step explanation:

Subtract on both sides to isolate c.

[tex]x^{2} -24x+c\\x^{2} -24+c-c=-c\\x^{2} -24+0=-c\\x^{2} -24x=-c\\-c=x^{2} -24x[/tex]

Have c be in positive form.

[tex]-c=x^{2} -24x\\(-)(-c)=(-)(x^{2} -24x)\\c=-x^{2} +24[/tex]

32 packages of ground meat are for sale

A division is a process of splitting a specific amount into equal parts.

Given that A butcher shop sells ground meat in 3/4 pounds packages

the shop has 24 pounds of meat available to sell,

We need to find the number of packages of ground meat are for sale .

To find this we have to divide 24 by 3/4

24/(3/4)

The denominator is multiplied to numerator by rationalising.

24×4/3

Twenty four times of fraction four by three.

32

Hence, 32 packages of ground meat are for sale

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There are 32 packages of ground meat for sale.

To find the number of packages of ground meat for sale, we need to divide the total pounds of meat available by the weight of each package.

Given that each package weighs 3÷4 pounds and the shop has 24 pounds of meat available, we can divide 24 by 3÷4 to find the number of packages.

Dividing 24 by 3÷4 is the same as multiplying 24 by the reciprocal of 3÷4, which is 4÷3. Therefore, there are 24 × (4÷3) = 32 packages of ground meat for sale.

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Answer:

[tex] {x}^{2} + 10x + 21[/tex]

Step-by-step explanation:

[tex](x + 7)(x + 3) \\ = x(x + 3) + 7(x + 3) \\ = {x}^{2} + 3x + 7x + 21 \\ \purple{ \bold{= {x}^{2} + 10x + 21}}[/tex]

Answer:

64°

Step-by-step explanation:

In circle with center P, AD is diameter.

[tex] \therefore m\angle DPE + m\angle APE = 180\degree \\

\therefore (33k-9)\degree + 90\degree = 180\degree \\

\therefore (33k-9)\degree = 180\degree -90\degree \\

\therefore (33k-9)\degree = 90\degree \\

\therefore 33k-9 = 90\\

\therefore 33k= 90+9\\

\therefore 33k= 99\\

\therefore k= \frac{99}{33}\\

\therefore k=3\\

m\angle CPD = (20k +4)\degree \\

\therefore m\angle CPD = (20\times 3 +4)\degree \\

\therefore m\angle CPD =(60+4)\degree \\

\therefore m\angle CPD =64\degree \\

m\overset {\frown}{CD} = m\angle CPD\\

\therefore m\overset {\frown}{CD} = 64\degree

[/tex]

Answer:

2n-18=16; n=17

Step-by-step explanation:

2n-18=16

   +18 +18

2n= 34

/2     /2

n=17

Hope this helped

Answer:

0.0546875 or if we are rounding 5.47%

Step-by-step explanation:

Answer:

5.46875%

Step-by-step explanation:

To answer this, we need to find 7 divided by 128. Using a calculator, we find that it is 0.0546875. To convert a decimal to a percentage, multiply the number by 100 and put a percent sign next to it. We get 5.46875%.

Answer:

$1.49 per pound of bananas at Smiths

Step-by-step explanation:

1. 10 pounds is $14.90

2. Find how much one pound costs by dividing 14.90 by 10

3. 14.90/10= 1.49

4. $1.49 per pound of bananas at Smiths

Answer: 8 i

Step-by-step explanation: The square root of negative 64 is 8 i. Whenever you are finding a negative square root you need to find what times what will equal that number. 8 x 8 = 64. So the square root is 8. But, since we are finding a negative square root, the answer will be 8 i. i states that 8 is the negative square root of 64.

So the answer is 8 i.

Always add i after the number when finding negative square roots.

Answer:

3769.92 ft

Step-by-step explanation:

The diameter of the wheel, d= 60 ft

We know the perimeter of the wheel is,

= πd

= 3.1416*60

= 188.496 ft

Wheel travel for 5 minutes. So the wheel travel,

= 5*60

= 300 sec

The wheel rotates in every 15 seconds. So the wheel rotates,

= 300/15

= 20 times

In one rotation, the wheel travels its perimeter. so is 5 minutes it travels,

= 188.496*20

= 3769.92 ft

Answer:

5 degrees Celsius

Step-by-step explanation:

initial temperature = -12°C

temperature after 4 hours = -12°C + 4(5°C)

= -12°C + 20°C

= 8°C

final temperature = 8°C - 3°C

=5°C

Answer:

5 degrees celsius

Step-by-step explanation:

C

Answer:

[tex]\sin(\theta_1) =\frac{\sqrt{55} }{8}[/tex]

Step-by-step explanation:

The angle [tex]\theta_1[/tex] is located in Quadrant I and [tex]\cos(\theta_1)=\frac{3}{8}[/tex]

From Trigonometric ratio, In the First Quadrant

[tex]\cos \theta=\frac{Adjacent}{hypotenuse}[/tex]

Adjacent =3, Hypotenuse =8

Using Pythagoras Theorem

[tex]Hypotenuse^2=Opposite^2+Adjacent^2\\8^2=Opposite^2+3^2\\Opposite^2=64-9=55\\Opposite=\sqrt{55}[/tex]

Therefore:

[tex]\sin(\theta_1)=\frac{Opposite}{Hypotenuse}\\\sin(\theta_1) =\frac{\sqrt{55} }{8}[/tex]

Answer:

1,135 people

For every 100 people only 45 people watch more than 10 hours per week. So, the ratio is (45/100), since the company has 2500 we want to know what (x/2500) is. The total ratio becomes (1,135/2,500).

The number is found by dividing 2500 by 100 to receive the common factor of 25. You multiply 45 by 25 to receive your total answer.

Step-by-step explanation:

For every 100 people only 45 people watch more than 10 hours per week. So, the ratio is (45/100), since the company has 2500 we want to know what (x/2500) is. The total ratio becomes (1,135/2,500).

The number is found by dividing 2500 by 100 to receive the common factor of 25. You multiply 45 by 25 to receive your total answer.

Answer:

He'll earn 125 in interest after 5 years.

Step-by-step explanation:

Since it's a simple interest rate, we can use the formula to calculate the amount of interest he'll earn in those years. We have:

C = P*i*t

Where C is the amount of interest earned, P is the initial amount invested, i is the interest rate and t is the total time elapsed. For this case we have:

C = 500*0.05*5

C = 2500*0.05

C = 125

He'll earn 125 in interest after 5 years.

Answer:

It's z^11

Step-by-step explanation:

To multiply exponents with the same base (z), you add the exponents so in this case you add 5 and 6 to get z^11

Answer:

[tex]z^{11}[/tex]

Step-by-step explanation:

[tex]z^{a} *z^{b}= z^{a+b} \\z^{5} *z^{6}= z^{5+6} = z^{11}[/tex]

The solution is

The equations with one solution is

y = 0.5x - 2  ;   y = -0.5x + 4

y = 2x + 1  ;  y = 4x + 1

The equations with no solution is

y = 0.5x + 5  ;  y = 0.5x + 1

y = -x - 3  ;  y = -x + 3

The equations with infinite number of solutions is

y = 3x + 2.5  ;  y = 3x + 2.5

y = -x - 2  ;  y = -x - 2

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

a)

y = 0.5x - 2   be equation (1)

y = -0.5x + 4   be equation (2)

On simplifying both the equations , we get

0.5x - 2 = -0.5x + 4

Adding 0.5x on both sides of the equation , we get

x - 2 = 4

Adding 2 on both sides of the equation , we get

x = 6

Substitute the value of x in equation (1) , we get

y = 1

The value of x is 6 and value of y is 1

b)

y = 0.5x + 5   be equation (1)

y = 0.5x + 1   be equation (2)

On simplifying both the equations , we get

0.5x + 5 = 0.5x + 1

Now , the equations are contradictory and there are no solution

c)

y = 2x + 1   be equation (1)

y = 4x + 1   be equation (2)

On simplifying both the equations , we get

2x + 1 = 4x + 1

Subtracting 2x on both sides of the equation , we get

2x + 1 = 1

Subtracting 1 on both sides of the equation , we get

2x = 0

x = 0

Substitute the value of x in equation (1) , we get

y = 1

Therefore , the value of x is 0 and value of y is 1

d)

y = 3x + 2.5   be equation (1)

y = 3x + 2.5   be equation (2)

On simplifying both the equations , we get

3x + 2.5 = 3x + 2.5

Therefore , the equations are similar and there are infinite number of solutions

e)

y = -x - 3   be equation (1)

y = -x + 3  be equation (2)

On simplifying both the equations , we get

-x - 3 = -x + 3

Now , the equations are contradictory and there are no solution

f)

y = -x - 2   be equation (1)

y = -x - 2   be equation (2)

On simplifying both the equations , we get

-x - 2 = -x - 2

Therefore , the equations are similar and there are infinite number of solutions

Hence , the system of equations are solved

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Answer:

Step-by-step explanation:

Given that three fair coins are flipped.

Sample space for the given event is

[tex]S={\{HHH, HHT, HTH, HTT, THH, THT, TTH, TTT}\}[/tex]

Let A be the events of getting atleast 2 Heads and is given by

A = {HHH, HHT, HTH, THH}

Probability of Getting atleast 2 Heads in 3 Coin Tosses  is

[tex]P(A)=\frac{n(A)}{n(S)}[/tex]

[tex]P(A)=\frac{4}{8}[/tex]

[tex]=0.5[/tex]

Complete part of Question:

Assume a factor of safety of 3.0

The Maximum stress versus logarithm of the number of cycles to fatigue failure curve for 2014-T6 Aluminium bar is attached to this solution

Answer:

The maximum allowable load amplitude is 6403.33 N

Step-by-step explanation:

diameter of the bar, d = 12 mm

d = 0.012 m

Cross sectional area of the bar, A = πd²/4

A = π*0.012²/4

A = 0.000113 m²

From the Maximum stress versus logarithm of the number of cycles to fatigue failure for 2014-T6 Aluminium bar attached to this solution;

At 10⁷ cycles, Maximum stress, S = 170 MPa

S = 170 * 10⁶ Pa

Factor of safety, N = 3.0

The tensile stress is given by the formula:

[tex]\sigma = S/N\\\sigma = \frac{170 * 10^{6} }{3} \\\sigma = 56.67 * 10^{6} N/m^{2}[/tex]

The tensile stress is also given by:

[tex]\sigma = F/A\\\sigma = F/0.000113[/tex]

F/0.000113 = 56.67 * 10⁶

F = 56.67 * 10⁶ * 0.000113

F = 6403.33 N

The maximum allowable load amplitude is 6403.33 N

Answer:

The maximum allowable load amplitude is 6408.85 Newtons

Step-by-step explanation:

Assume a factor of safety N = 3.0

From the graph attached, the maximum stress the cylindrical 2014-t6 aluminum alloy bar is subjected to is S = 170MPa

diameter d = 12.0 mm = 12*10^-3 m

area A

S = F/A

But A = (Π* d²)/4

S = 4F/(Π*d²)

By incorporating factor of safety N

S/N = 4F/(Π*d²)

F = SΠd²/4N

F = {170*10^6 *Π *(12*10^-3)}/4*3.0

F = 76906.19/12 = 6408.85 Newtons

Pls find the solution in the attached file for more explanation.

A 90° counterclockwise rotation is the same as a 270° clockwise rotation. A 180° rotation is the same as a reflection across both axes. A 90° clockwise rotation is the same as a 270° counter-clockwise rotation. Two separate rotations of 90° counter-clockwise and then 180° are the same as rotations of 90° clockwise and then 180°.

In mathematics, especially in geometry, transformations involve changing the position, size or shape of a figure. The question is about matching specific transformations or sequence of transformations to its equivalent transformation.

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Answer: 190

Step-by-step explanation: The perimeter is the measurement of every side. So multiply 29 by 2 To get 58 since there is two sides with that length. You'd then multiply 66 by 2 to get 132 For the same reason, and then finally add both of those together to get 190

Answer: 6  ≤ h ≤ 9

Step-by-step explanation:

Hi, since He charges $40 as a fixed rate for the first hour plus $20 for each additional hour, the cost of the tutoring service is equal to the fixed rate(40) plus, the product of the additional hours (h-1) and the cost per additional hour (20).

40+20(h-1)

40+20h-20

20+20h

Since a student can spend between $140 and $200, the previous expression must be greater o equal than 140, and less or equal than 200.

140≤20+20h≤200

Subtracting 20

140-20 ≤20-20+20h ≤200-20

120 ≤ 20h ≤ 180

Dividing by 20

120/20 ≤ 20h/20 ≤ 180/20

6 ≤ h ≤ 9

Final answer:

The minimum and maximum number of hours of tutoring a student can get if they can spend between $140 and $200 is 5 and 8 hours, respectively.

Explanation:

To determine the minimum and maximum number of hours of tutoring a student can get, we need to set up an inequality based on the pricing information provided. Let's denote the number of additional hours beyond the first hour as x.

The total cost of tutoring will be $40 for the first hour plus $20x for each additional hour. The student can afford to spend between $140 and $200, so the inequality is:
140 ≤ 40 + 20x ≤ 200

To find the solution, we need to isolate x. First, subtract 40 from all parts of the inequality:
100 ≤ 20x ≤ 160

Next, divide all parts of the inequality by 20:
5 ≤ x ≤ 8

Therefore, the minimum number of hours is 5 (including the first hour) and the maximum number of hours is 8 (including the first hour).

Answer:

I believe 2 batteries

Step-by-step explanation:

17.4 pounds from monday + 13.3 from Tuesday= 30.7 pounds.

30.7 pounds times $0.40 is $12.28

12.28/5.5 is 2.327272727...

You cant buy .3 of a batter so the answer should be 2

4000 g

Step-by-step explanation:

32 kg means 32000 g of watermelon

divided into 8 bowls

grams of watermelon in each bowl are 32000÷8 = 4000 g

Ally put 4,000 grams of watermelon in each bowl.

To find out how many grams of watermelon Ally put in each bowl, we need to divide the total weight of the watermelon slices by the number of bowls. Ally sliced 32 kg of watermelon and divided it equally between 8 large bowls. To convert kg to grams, we multiply by 1000. So, the total weight of watermelon in grams is 32,000 grams. To find out how many grams of watermelon went into each bowl, we divide the total weight by the number of bowls: 32,000 grams / 8 bowls = 4,000 grams.

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Answer: B and C because I got it correct so trust me

Step-by-step explanation:

Ez

If she goes 75 mph for 2 hours, that's 150 miles altogether. 45 mph for 1 hour is 45 miles, so 150 + 45 is 195 miles.

The total distance that Mishka covers on her road trip is 195 miles.

Two or more expressions with an Equal sign is called as Equation.

To calculate the total distance covered on the road trip

we need to add the distances traveled on the highway and side roads.

Distance on the highway = speed × time

= 75 mph × 2 hours

= 150 miles

Distance on side roads = speed × time

= 45 mph × 1 hour

= 45 miles

Total distance covered = Distance on the highway + Distance on side roads = 150 miles + 45 miles

= 195 miles

Therefore, the total distance that Mishka covers on her road trip is 195 miles.

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Answer:

D. 6√3.

Step-by-step explanation:

x^2 = 108

x = +/- √108

x  =  +/- √36 * √3

x = +/- 6√3