Chang bought 15 pounds of flour for $7.
How many pounds of flour did he get per dollar?
Ũ poundsper dollar

It will take Naomi approximately 4 quarters and 8 months, or 4.67 quarters to reach her goal.

To find the number of quarters required to reach $100,000 with a quarterly payment of $1500 and an interest rate of 4.4% compounded quarterly, we will  use the  formula below:

N = log((A / P) + 1) / log(1 + r)

Where:

N = number of quarters

A = target amount ($100,000)

P = payment per quarter ($1500)

r = interest rate per quarter (4.4%/4 = 1.1%)

Substituting the values, we have that

N = log((100,000 / 1500) + 1) / log(1 + 0.011)

N = log(66.67) / log(1.011)

N = 4.67 quarters

In conclusion, It will take Naomi approximately 4 quarters and 8 months, or 4.67 quarters to reach her goal.

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Answer:

y = 4x - 1

Step-by-step explanation:

y + 1 = 4(x + 0)

y = 4x -1

Answer:

y = 4x - 1

Step-by-step explanation:

All you want to do is put the equation into the form y = mx + b where m is the slope and b is the y-intercept (an example would be y = 2x + 1 which would have 2 is the slope and 1 is the y-intercept)

Since you have:

slope or m = 4

y-intercept or b = -1

The equation would be y = 4x - 1

lm pretty sure the answer is d

Answer:

a = 120°

b = 60°

Step-by-step explanation:

Angle a and 60° are suplementary. The sum of supplementary angles is 180° (straight angle).

a + 60° = 180°

a = 180° - 60°

a = 120°

The sum of angles in the quadrilateral is 360°. Notice how two of the angles in the quadrilateral are marked as right angles (angles marked with a square). Each of them is 90°.

b + 90° + a + 90° = 360°

Substitute a with the value calculated in the previous step.

b + 90° + 120° + 90° = 360°

Solve for b.

b + 300° = 360°

b = 60°

The sum of the measures of the interior angles of a polygon with n sides can be found using the formula (n-2) * 180 degrees.

For a 10-sided figure, we have (10-2) * 180 = 8 * 180 = 1,440 degrees.

Therefore, the sum of the measures of the interior angles of a 10-sided figure is 1,440°.

The answer is A.

Answer:

b

Step-by-step explanation:

The marginal revenue curves for the given demand curves are: MR = -0.5  Q + 12 In a monopoly market, the marginal revenue curve is always below the demand curve. This is because a monopolist can only increase their revenue by decreasing the price of their product, and therefore they must lower the price for all units sold, not just the last one.

For the first demand curve, P = -5Q + 25, the marginal revenue curve can be found by taking the derivative of the demand curve with respect to Q. This gives us:

MR = dP/d Q = -5

So the marginal revenue curve is a horizontal line at MR = -5. Adding the intercept of the demand curve at P = 25, we get:

MR = -5Q + 25

For the second demand curve, P = -0.5Q + 12, the marginal revenue curve can be found in the same way:

MR = dP/dQ = -0.5

So the marginal revenue curve is a horizontal line at MR = -0.5. Adding the intercept of the demand curve at P = 12, we get:

MR = -0.5Q + 12

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Answer:

10

Step-by-step explanation:

\(2(x + y)^{2} = 116 \\ {(x + y)}^{2} = \frac{116}{2} \\ {(x + y)}^{2} = 58....(1) \\ xy = 24.....(2) \\ \because \: {(x + y)}^{2} = {x}^{2} + {y}^{2} + 2xy \\ \therefore \: 58 = {x}^{2} + {y}^{2} + 2 \times 24 \\ \therefore \: 58 = {x}^{2} + {y}^{2} + 48 \\ \therefore \: {x}^{2} + {y}^{2} = 58 - 48 \\ \huge \purple{ \boxed{\therefore \: {x}^{2} + {y}^{2} = 10}}\)

Answer:

10

Step-by-step explanation:

2(x+y)^2=116

xy= 24

x^2+y^2 =?

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

x^2+y^2= (x+y)^2- 2xy

Answer:

h=84

Step-by-step explanation:

You need to set up two equations. The first will be math + history = 240, or m + h = 240. and than you have to h = m - 72 and after that you have to use the second equation to replace the "h" in the first equation: m + m - 72 = 240. and than do 2m - 72 = 240 and solve it. and add 72 to both sides 2m=312 than divide both sides by 2 which will be m = 156 which than you do 156+ h and that will give you 240. than subtract 156 from both sides and your Answer would be here=84.

well, we know the circle passes through (0 , 3/2) so the distance from the center and that point is its radius, so

\(~~~~~~~~~~~~\textit{distance between 2 points} \\\\ (\stackrel{x_1}{0}~,~\stackrel{y_1}{-8})\qquad (\stackrel{x_2}{0}~,~\stackrel{y_2}{\frac{3}{2}})\qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ \stackrel{radius}{r}= \sqrt{(~~ 0- 0 ~~)^2 + (~~ \frac{3}{2}- (-8) ~~)^2} \implies r= \sqrt{0 + (~~ \frac{3}{2} +8 ~~)^2} \\\\\\ r=\sqrt{\left( \frac{19}{2} \right)^2}\implies r=\cfrac{19}{2} \\\\[-0.35em] ~\dotfill\)

\(\textit{equation of a circle}\\\\ (x- h)^2+(y- k)^2= r^2 \hspace{5em}\stackrel{center}{(\underset{0}{h}~~,~~\underset{-8}{k})}\qquad \stackrel{radius}{\underset{\frac{19}{2}}{r}} \\\\[-0.35em] ~\dotfill\\\\ ( ~~ x - 0 ~~ )^2 ~~ + ~~ ( ~~ y-(-8) ~~ )^2~~ = ~~\left( \cfrac{19}{2} \right)^2\implies x^2+(y+8)^2~~ = ~~\cfrac{361}{4}\)

The complex number z = 2 - 8i in Trigonometric form ,the correct option is: 8.246(cos 75.964° + isin 75.964°).

The complex number z = 2 - 8i in trigonometric form, The trigonometric form is typically written as z = r(cos θ + isin θ), where r represents the magnitude and θ represents the argument.

The magnitude of z, we use the formula: |z| = sqrt(Re(z)^2 + Im(z)^2), where Re(z) is the real part and Im(z) is the imaginary part of z.

In this case, Re(z) = 2 and Im(z) = -8, so we have:

|z| = sqrt(2^2 + (-8)^2) = sqrt(4 + 64) = sqrt(68) ≈ 8.246

The argument (angle) of z, we use the formula: θ = atan(Im(z)/Re(z)), where atan is the arctangent function.

In this case, θ = atan((-8)/2) = atan(-4) ≈ -75.964° or 284.036° (adding or subtracting multiples of 360° does not change the angle).

Putting it all together, the complex number z = 2 - 8i can be expressed in trigonometric form as:

8.246(cos 75.964° + isin 75.964°) or 8.246(cos 284.036° + isin 284.036°).

Therefore, the correct option is: 8.246(cos 75.964° + isin 75.964°).

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120 children and 120 adults were admitted to the amusement park if the admission fee collected was $1980.00

The number of children and adults that entered the park can be calculated using linear equations.

Considering x to be the number of adults and y to be the number of children;

As 240 people entered the park, therefore;

x + y = 240

As the fee for children is $3.50 and for adults is $13, therefore;

13x + 3.50y = 1980

Determining the value of y in the first equation;

x + y = 240

y = 240 - x

Putting this value of y in the second equation;

13x + 3.50y = 1980

13x + 3.50(240 - x) = 1980

13x + 840 - 3.50x = 1980

9.5x = 1980 - 840

9.5x = 1140

x = 1140 / 9.5

x = 120

To determine the value of y, we Substitute this value of x in the first equation;

y = 240 - x

y = 240 - 120

y = 120

Hence, 120 children and 120 adults entered the park if the admission fee for children was $3.50 and for adults was $13.00

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Answer:

fortnite fortnite fortnite

Answer:

y=4

Step-by-step explanation:

3×−4y=8(−2−4)

Multiply 3 and −4 to get −12.

−12y=8(−2−4)

Subtract 4 from −2 to get −6.

−12y=8(−6)

Multiply 8 and −6 to get −48.

−12y=−48

Divide both sides by −12.

y=

−12

−48

​

Divide −48 by −12 to get 4.

y=4

Answer:

X= - 12

Step-by-step explanation:

3x-4*3=-16-32

3x-12= - 48

3x= - 48+12

3x= - 36

X= - 36:3

X = - 12

Answer:

the blue one but not sure

Answer:

the third one i think

Step-by-step explanation:

The probability of choosing a letter other than the letter a from a bag that contains the fifteen letters of the Indian city Palasa Kasibugga is 11/15.

According to the question,

We have the following information:

Words are:

Palasa Kasibugga

Now, total number of letters = 15

Number of a in these words = 4

Number of letters other than a = 11

We know that the following formula is used to find the probability of an event:

Probability = Number of favorable outcomes/total number of outcomes

Probability = 11/15

Hence, the probability of choosing a letter other than the letter a from a bag that contains the fifteen letters of the Indian city Palasa Kasibugga is 11/15.

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By the Comparison Test, we can conclude that Σ (4sin(n))/(\(n^2\) - 1) converges.

We can use the Limit Comparison Test to determine the convergence or divergence of the series:

∑(4 sin(n))/n

To do this, we need to find a series whose convergence is known and which can be compared to the given series. Let's choose the series ∑(1/n) since we know that it diverges.

We take the limit of the ratio of the nth term of each series as n approaches infinity:

lim n→∞ (4 sin(n)/n)/(1/n) = lim n→∞ 4 sin(n) = DNE

Since the limit does not exist, we cannot apply the Limit Comparison Test. Therefore, Therefore, by the Comparison Test, we can conclude that Σ (4sin(n))/(\(n^2\) - 1) converges.

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Answer:

The value of the experimental probability is greater

Step-by-step explanation:

For the theoretical probability;

the probability that a card with the number 3 is selected is 1/5

We consider that the probabilities of each selection are equal, for the theoretical probability

For the experimental, we simply place the frequency of the selection 3 over the total

that will be 128/400 = 8/25

As we know that 8/25 is greater than 1/5

We can conclude that the value of the experimental probability is greater than that of the theoretical

Answer:

I hate math

Step-by-step explanation:

Answer:

There are 102 marbles in the jar

Step-by-step explanation:

16+18 = 34

34 = 1/3

3×34 = total marbles

3×34 = 102

Using Rolle's theorem, we can show that 2 is the only solution to the equation 31 + 4x = 5x.

To apply Rolle's theorem, we first need to ensure that the given function, f(x) = (3x + 4x^2 - 1) + 2, satisfies the conditions. Rolle's theorem states that for a function f(x) to have a solution to the equation f(a) = f(b), where a ≠ b, three conditions must be met: (1) f(x) must be continuous on the closed interval [a, b], (2) f(x) must be differentiable on the open interval (a, b), and (3) f(a) = f(b).

In our case, the function f(x) = (3x + 4x^2 - 1) + 2 satisfies these conditions. It is continuous and differentiable for all real numbers, and we need to find a and b such that f(a) = f(b).

Let's find the values of f(2) and f(5) to check if they are equal:

f(2) = (3(2) + 4(2^2) - 1) + 2 = 15

f(5) = (3(5) + 4(5^2) - 1) + 2 = 86

Since f(2) = 15 ≠ f(5) = 86, we can conclude that there is no interval [a, b] where f(a) = f(b) and, therefore, no solution to the equation 31 + 4x = 5x other than x = 2.

Using Rolle's theorem, we have shown that 2 is the only solution to the equation 31 + 4x = 5x. The function f(x) = (3x + 4x^2 - 1) + 2 satisfies the conditions of Rolle's theorem, but the values of f(2) and f(5) are not equal, indicating that there is no other value of x that satisfies the equation. Therefore, the only solution is x = 2.

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Answer:

The least number of pens they could have is 24 pens.

Step-by-step explanation:

6: 6, 12, 18, 24, 30, 36, 42, 48

8: 8, 16, 24, 32, 40, 48

Answer:

24 is my answer

i hop it helps you

Answer:

Equations: 40-7=33 and 33÷11=3

Step-by-step explanation:

40-7=33

Since there are 3 sides,(q) then you do 33 divided by 3=11.

Equations: 40-7=33

And

33÷11=3

The economic order quantity (EOQ) for the switch connectors is approximately 97 units.

To determine the economic order quantity (EOQ) for the switch connectors, we can use the following formula:

EOQ = √((2 * Annual Demand * Order Cost) / Holding Cost)

Given the following information:

Annual Demand = 15,400 units

Holding Cost = $24 per unit

Order Cost = $74 per order

Plugging in the values into the formula, we get:

EOQ = √((2 * 15,400 * 74) / 24)

EOQ = √(227,200 / 24)

EOQ = √(9,466.67)

EOQ ≈ 97.28

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Answer: 4500

Step-by-step explanation:

Given function:y = √(1 – x³)We need to find dy/dx.As per the chain rule of differentiation, if y = f(u) and u = g(x), then the derivative of y with respect to x is given by dy/dx = dy/du * du/dx.

Now, let u = 1 – x³. Then, y = √u ⇒ y = u^(1/2).

dy/dx = dy/du * du/dxdy/du = 1/(2√u) = 1/(2√(1 – x³))du/dx = -3x²Therefore, dy/dx = dy/du * du/dx = 1/(2√(1 – x³)) * (-3x²) = (-3x²)/(2√(1 – x³)).

Therefore,  (A) 3(1 - x²)².Option (A) is the correct answer.

The given function is y = √(1 – x³) and we need to find dy/dx. As per the chain rule of differentiation, if y = f(u) and u = g(x), then the derivative of y with respect to x is given by dy/dx = dy/du * du/dx.

Let u = 1 – x³. Then, y = √u ⇒ y = u^(1/2).

We need to find dy/dx.dy/dx = dy/du * du/dxdy/du = 1/(2√u) = 1/(2√(1 – x³))du/dx = -3x².

Therefore, dy/dx = dy/du * du/dx = 1/(2√(1 – x³)) * (-3x²) = (-3x²)/(2√(1 – x³)).

Thus, dy/dx = (-3x²)/(2√(1 – x³)).Therefore, the correct option is (A) 3(1 - x²)².  

The derivative of the given function y = √(1 – x³) with respect to x is (-3x²)/(2√(1 – x³)) and the correct option is (A) 3(1 - x²)².

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Answer:

5^8/5^6 = 5^(8-6) = 5^2 = 25. Therefore, 5^8/5^6 simplified to a single power of 5 is 25.

Step-by-step explanation:

Answer:

the answer for that is 5^6-3 = 5^3 = 125

Step-by-step explanation:

From the given parameter, the total amount that Lou spent on the gas is; $30.8

We are told that Lou​'s car had 6.2 gallons in the 15 gallons in the ​-gallon tank on the coldest day of the year.

Now, Lou filled the tank with gas that cost ​$ 3.50 per gallon.

Thus;

Amount of gas that Lou bought = 15 - 6.2

Amount of gas that Lou bought = 8.8 gallons

Since he bought these gallons at the cost of ​$3.50 per gallon, then it means that;

Total amount he spent = 8.8 * 3.5

Total amount he spent = $30.8

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Complete question is;

Some people advise that in very cold​ weather, you should keep the gas tank in your car more than half full. Some people advise that in very cold​ weather, you should keep the gas tank in your car more than half full. Lou​'s car had 6.2 gallons in the 15 gallons in the ​-gallon tank on the coldest day of the year.

Lou filled the tank with gas that cost ​$ 3.50 per gallon. How much did Lou spend on​ gas?

Given:

defective units = 29.1

total production = 9,700

Hence:

substituting values in the formula:

ANSWER

0.3 percent of the production is defective.