Identify who made the error and what she did wrong.

1) Amelia made the error when she added 3.

2) Amelia made the error when she subtracted 4x.

3) Susie made the error when she subtracted 2.

4) Susie made the error when she subtracted 2x.

Answer:

maybe 149 cell phone chargers or 219 cell phone chargers

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

The question is hard and i understand why youre confused but its C because i learned about stuff like this in 5th grade and im good at it im so sorry if im wrong but im almost positive its C hope i helped!

y = f(x + c) will shift f(x) left by c units

For a reflection about the x-axis, a NEGATIVE SIGN in placed in front of f.

Knowing this fact, the answer is -f(x + 4).

Answer:

  11%

Step-by-step explanation:

You want to know the rate of inflation if the price of a haircut increased from $7 to $20 in 10 years.

The inflation of prices is modeled by an exponential function.

  p(t) = p₀·(1 +r)^t

where p₀ in the price at t=0, r is the annual inflation rate, and t is the number of years.

Solving for r, we find ...

  p(t)/p₀ = (1 +r)^t . . . . . . . . divide by p₀

  (p(t)/p₀)^(1/t) = 1 +r . . . . . . take the t-th root

  r = (p(t)/p₀)^(1/t) -1 . . . . . . . subtract 1

For the given numbers, we find the rate to be ...

  r = (20/7)^(1/10) -1 ≈ 0.11 = 11%

The rate of inflation is 11% per year.

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Answer:

Hope this will help you.

Answer:

x = 53 and y = 59

Step-by-step explanation:

So 127+x = 180 so x = 53

112 is supplementary to the angle in the tiny triangle so 180-112 = 68

So 68 + y + 53 = 180 so y = 59

Hello !

Answer:

\(\Large \boxed{\begin{cases}x=7 \\y=6\end{cases}}\)

Step-by-step explanation:

We want to find the values of x and y that satisfy the following system of equations :

\(\begin{cases}\sf 3x-3y=3 \\\sf x+y=13\end{cases}\)

First, let's divide both sides of the first equation by 3 :

\(\begin{cases}\sf\frac{1}{3}(3x-3y)=\frac{3}{3} \\\sf x+y=13\end{cases}\)

\(\begin{cases}\sf x-y=1 \ \ \ \ (*)\\\sf x+y=13\end{cases}\)

Now let's add the two equations and combine like terms :

\(\sf x-y+(x+y)=1+13\\2x=14\)

Let's divide both sides by 2 :

\(\sf\frac{2x}{2} =\frac{14}{2} \\\boxed{\sf x=7}\)

The value of x is now known .

Let's substitute 7 for x in the first equation :

\(\sf 7-y=1\)

Substract 7 from both sides :

\(\sf 7-y-7=1-7\\-y=-6\)

Finally, let's multiply both sides by -1 :

\(\sf-1(-y)=-1(-6)\\\boxed{\sf y=6}\)

Have a nice day ;)

When solving proportions, we set the cross products equal, and then we solve for the unknown variable.

When solving proportions, we set the cross products equal to each other and then proceed to solve for the unknown variable. A proportion is an equation that states that two ratios or fractions are equal. To solve a proportion, we first identify the two ratios involved and set their cross-products equal.

For example, consider the proportion: a/b = c/d

To solve for the unknown variable, we set the cross products (a * d) and (b * c) equal:

a * d = b * c

This equation allows us to find the value of the unknown variable by manipulating the equation through multiplication or division to isolate the variable on one side of the equation.

By setting the cross products equal, we essentially establish an equality between the two ratios, indicating that the fractions on either side of the proportion are equivalent. Solving for the unknown variable allows us to determine its value based on the relationship between the given ratios.

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The midpoint is given by the following expression:

Where:

Therefore:

Replacing:

Mx= 5 and My=6

Qx= X1 =-1 and Qy= y1=3

Rx=X2 and Ry= Y2

Equating the x component and solving for X2:

Doing the same with the y component:

Answer: the coordinates of R are: (X2,Y2) = (11 , 9).

Answer: nominal GDP. GDP Deflator.

Step-by-step explanation:

Answer:

4/35x5/16=1/7x1/4=1/28 the final answer is1/28

Answer:

Step-by-step explanation:

Population density is the number of people per unit of area:

Population density

Answer:

The answer is 36.

Step-by-step explanation:

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First, divide 108 by 12.

The result is 9.

Now square root 9.

The result is 3.

Now, multiply 12 by 3.

The result is 36.

To check that this is the pattern, we multiply 36 by 3, and we indeed see that 3 times 36 is equal to 108.

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Answer:

(5, - 3 )

Step-by-step explanation:

4x + 3y = 11 → (1)

2x - 5y = 25 ( add 5y to both sides )

2x = 25 + 5y → (2)

note that 4x = 2(2x)

substitute 2x = 25 + 5y into (1)

2(25 + 5y) + 3y = 11

50 + 10y + 3y = 11

13y + 50 = 11 ( subtract 50 from both sides )

13y = - 39 ( divide both sides by 13 )

y = - 3

substitute y = - 3 into (2)

2x = 25 + 5(- 3) = 25 - 15 = 10 ( divide both sides by 2 )

x = 5

solution is (5, - 3 )

Answer:

D= 10

Step-by-step explanation:

\(d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\d=\sqrt{(0-6)^2+(1-9)^2}\\d=\sqrt{(-6)^2+(-8)^2}\\d=\sqrt{(36)+(64)}\\d=\sqrt{100}\\d=10\)

Answer:

The answer is B

Step-by-step explanation:

Step-by-step explanation:

Total number of students taking Geometry

74 + 47 + 112 + 51 = 284

12th grade students taking Geometry = 51

Answer : 51/284 = 0.18

The average student complete after 12 lessons is 57.74 entries per minute.

To find s(x), we need to integrate ds/dx with respect to x:

ds/dx = 9(x + 4)^(-1/2)

Integrating both sides, we get:

s(x) = 18(x + 4)^(1/2) + C

To find the value of C, we use the initial condition that the average student can complete 36 entries per minute with no lessons (x = 0):

s(0) = 18(0 + 4)^(1/2) + C = 36

C = 36 - 18(4)^(1/2)

Therefore, s(x) = 18(x + 4)^(1/2) + 36 - 18(4)^(1/2)

To find how many entries per minute the average student can complete after 12 lessons, we simply plug in x = 12:

s(12) = 18(12 + 4)^(1/2) + 36 - 18(4)^(1/2)

s(12) ≈ 57.74 entries per minute

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The average student can complete 72 entries per minute after 12 lessons.

To find the data entry speed as a function of the number of lessons, we need to integrate the rate of change equation with respect to x.

Given: ds/dx = 9(x + 4)^(-1/2)

Integrating both sides with respect to x, we have:

∫ ds = ∫ 9(x + 4)^(-1/2) dx

Integrating the right side gives us:

s = 18(x + 4)^(1/2) + C

Since we know that when x = 0, s = 36 (no lessons), we can substitute these values into the equation to find the value of the constant C:

36 = 18(0 + 4)^(1/2) + C

36 = 18(4)^(1/2) + C

36 = 18(2) + C

36 = 36 + C

C = 0

Now we can substitute the value of C back into the equation:

s = 18(x + 4)^(1/2)

This gives us the data entry speed as a function of the number of lessons, s(x).

To find the data entry speed after 12 lessons (x = 12), we can substitute this value into the equation:

s(12) = 18(12 + 4)^(1/2)

s(12) = 18(16)^(1/2)

s(12) = 18(4)

s(12) = 72

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Exponential growth model represents the population growth of a species over a period of time under ideal conditions, where the resources are unlimited.

The formula for exponential growth is given as;

P(t) = P0ert

Where;

P(t) = population at a specific time 't'

P0 = the initial population

r = the rate of growth t = time elapsed In this problem,

the initial population P0 is 217, and after 4 months, the population has increased to 434.

To find the rate of growth r, we can substitute the given values in the formula and solve for r.

434 = 217e4r

Dividing both sides by 217;

2 = e4r

Taking the natural logarithm of both sides;

ln(2) = 4rln(e)ln(2) = 4r

∴ r = ln(2)/4

The population will reach 4640 when;

P(t) = P0ert

4640 = 217e(ln(2)/4)t

Dividing both sides by 217;

21.42201835 = e(ln(2)/4)t

Taking the natural logarithm of both sides;

ln(21.42201835) = ln(e(ln(2)/4)t)ln(21.42201835)

= (ln(2)/4)tln(2.6528)

= (ln(2)/4)t

Dividing both sides by

ln(2)/4;t = ln(2.6528) / ln(2)/4t

= 25.44 ≈ 25 months (rounded to the nearest whole number)Therefore, after 25 months, the catfish population will reach 4640. Answer: 25 months.

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Answer:

\( angle \: 1 \: is \: corresponding \: to \: angle \: 7\)

Answer:

Angle 3 is corresponding to angle 7.

Step-by-step explanation:

Answer: your correct  but the answer should be y<-14

Step-by-step explanation: i dont get the y>4 but if you solve -5(y + 5) > 45 you should get y<-14

hope this helped :)

Since, Alice ate 5 cookies and 2 carrots for a total of 590 calories; bob ate 3 cookies and 4 carrots for a total of 410 calories. Therefore, In a cookie there are 110 calories.

A calorie is a unit of energy that food and drink provide. we can usually find out how many calories are listed in foods, and wearables like the best fitness trackers let you monitor how many calories you're burning in different activities. Certain foods, such as processed foods, tend to be high in calories. Other foods, such as fresh fruits and vegetables, tend to be low in calories. there is not. Calories are needed to give you enough energy to move, keep warm, grow, work, think, and play. Our circulation and digestion also need to work well with the energy we get from calories.

Let x = calories in cookies.

     y = calories in carrots.

Now, according to the question:

     5x + 2y = 590                   --------------------------------------- (1)

     3x + 4y = 410                    -------------------------------------- (2)

Multiplying equation(1) by 3 and equation(2) by 5:

         15x + 6y = 1770                       ---------------------------(3)

         15x + 20y = 2050                   ---------------------------(4)

Solving we get:

    y = 280/14

or, y = 20 units.

Putting the value of y = 20 in equation (2)

    3x + 4y = 410

⇒  3x + 4 × 20 = 410

⇒ 3x = 410 - 80

⇒ x = 330/3

⇒ x = 110 Units

Therefore, the calories of cookies is 110 units .

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Answer:

\(3k^2+18k-13\)

Step-by-step explanation:

Simplify each term. Apply the distributive property.

\(8k+k^2-6-(10k)-1*7-(-2k^2)\)

Simplify.

\(8k+k^2-6+10k-7+2k^2\)

Simplify by adding terms.

Add \(8k\) to \(10k\).

\(18k+k^2-6-7+2k^2\)

Add \(k^2\) and \(2k^2\).

\(18k+3k^2-6-7\)

Simplify the expression.

Subtract \(7\) from \(-6\).

\(19k+3k^2-13\)

Reorder \(18k\) and \(3k^2\)

\(=3k^2+18k-13\)

Answer:

\(y-2 = -3(x-2)\)

Step-by-step explanation:

Find the diagram to the question attached.

The standard equation of a line in point-slope form is expressed as:

\(y-y_0 = m(x-x_0)\) where:

m is the slope of the line

\((x_0, y_0)\) is coordinate point on the line

First is to get the slope of the line.

\(m = \frac{y_2-y_1}{x_2-x_1}\)

If after buying 2 lattes, she has $2 left, hence one of the coordinate of the line is (2, 2). We can get the other coordinates from the graph. From the graph, it can be seen that when x = 0, y = 8. Hence the other coordinates is (0, 8)

\(m = \frac{8-2}{0-2}\\m = \frac{6}{-2}\\m = -3\)

Hence the slope is -3

Substitute m = -3 and the point (2, 2) into the formula to get the required equation (note that any of the points can be used)

\(y-y_0 = m(x-x_0)\\y-2 = -3(x-2)\)

Hence the equation of the line in point-slope form is \(y-2 = -3(x-2)\)

Answer:

4-3 = 1

Step-by-step explanation:

hopefully it will help you anyway

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\(f(x) = - 110.5x - 400.5\)

OR

\(f(x) = - \frac{221}{2} x - \frac{801}{2} \\ \)

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The value for the hotspots of the similar triangles ∆ABC and ∆PWR are:

(1). angle B = 68°

(2). PQ = 5cm

(3). BC = 19.5cm

(4). area of ∆PQR = 30cm²

Similar triangles are two triangles that have the same shape, but not necessarily the same size. This means that corresponding angles of the two triangles are equal, and corresponding sides are in proportion.

(1). angle B = 180 - (22 + 90) {sum of interior angles of a triangle}

angle B = 68°

Given that the triangle ∆ABC is similar to the triangle ∆PQR.

(2). PQ/7.5cm = 12cm/18cm

PQ = (12cm × 7.5cm)/18cm {cross multiplication}

PQ = 5cm

(3). 13cm/BC = 12cm/18cm

BC = (13cm × 18cm)/12cm {cross multiplication}

BC = 19.5cm

(4). area of ∆PQR = 1/2 × 12cm × 5cm

area of ∆PQR = 6cm × 5cm

area of ∆PQR = 30cm²

Therefore, the value for the hotspots of the similar triangles ∆ABC and ∆PWR are:

(1). angle B = 68°

(2). PQ = 5cm

(3). BC = 19.5cm

(4). area of ∆PQR = 30cm²

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Answer:

17. 49

18. 139

19. 131

Step-by-step explanation:

17. The question is asking for angle BEF. This angle is complementary to angle DEB, which means that when we add the two angles up, we get 90 degrees. Knowing this and knowing the value of angle DEB, we get 41 + BEF = 90. So we subtract 41 from both sides and we get BEF = 49.

18. The question is asking for angle CEB. We first get that CEF is 90 degrees because CED is a straight line, and DEF is 90 degrees, so CEF is also 90 degrees (90 + 90 = 180). CEB is just angle CEF and angle BEF added together and we have both. CEB = 90 + 49 = 139.

19. The question is asking for angle AEF. We first need to realize that angle AEC and DEB are equal. AEF is just equal to AEC + CEF, and now we have both. AEF = 41 + 90 = 131.