I need help ASAP plz

Therefore, the package with 40 hooks is the better buy in terms of cost efficiency.

To determine which package is the better buy, we need to compare the cost per hook for each package.

For the package of 25 hooks costing $9.95, we divide the total cost by the number of hooks:

Cost per hook = $9.95 / 25 = $0.398

Rounding to the nearest cent, the cost per hook is $0.40.

For the package of 40 hooks costing $13.99, we divide the total cost by the number of hooks:

Cost per hook = $13.99 / 40 = $0.3498

Rounding to the nearest cent, the cost per hook is $0.35.

Comparing the two costs per hook, we can see that the package with 40 hooks for $13.99 offers a better deal, as the cost per hook is lower at $0.35.

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Answer:

52.5

Step-by-step explanation:

Answer:

52.5 miles

2/15=7/x

15x7=105

105/2=52.5

(i)  \(\lim_{x \to \frac{\pi^-}{2}}\) h(x) = 3

(ii) \(\lim_{x \to \frac{\pi^+}{2}}\) h(x) = -1

(iii) h(0) = 1/7

The value of λ must be 7, for h(x) to be continuous at x = 0.

The given function is,

h(x) = 1/7, when x = 0

      = 1 - 2 cos 2x, when x < π/2

      = 1 + 2 cos 2x, when x > π/2

      = x cos x/sin λx, when x < 0

Now,

(i) \(\lim_{x \to \frac{\pi^-}{2}}\) h(x) = \(\lim_{x \to \frac{\pi^-}{2}}\) (1 - 2 cos 2x) = 1 - 2 cos π = 1 + 2 = 3

(ii) \(\lim_{x \to \frac{\pi^+}{2}}\) h(x) = \(\lim_{x \to \frac{\pi^+}{2}}\) (1 + 2 cos 2x) = 1 + 2 cos π = 1 - 2 = -1

(iii) h(0) = 1/7

Since the function is continuous at x = 0, so

\(\lim_{x \to 0}\) h(x) = h(0)

\(\lim_{x \to 0}\) x cos x/sin λx = 1/7

\(\lim_{x \to 0}\) cos x.\(\lim_{x \to 0}\) 1/λ(sinλx/λx) = 1/7

1/λ = 1/7

λ = 7

Hence the value of λ must be 7.

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Mr. Silva buys 5 watermelons, weighing 45000 grams in total.

Once upon a time, Mr. Silva went to the market to buy some watermelons. He saw a vendor selling jui-cy and fresh watermelons and decided to purchase some for his family. He bought a total of 5 watermelons from the vendor, each weighing around 6 kilograms.

Total no of watermelons - 5

Weight of each - 9 Kg

Therefore quantity of 5 such watermelons -5 x 9 = 45 kg

1 kg=1000 g

Total weight = 45x1000

45000 grams

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Complete Question:

Mr. Silva bought five watermelons for a school party. Each watermelon weighs 9 kilograms. How many grams do all 5 watermelons weigh?

Answer:

B

Step-by-step explanation:

Answer:

-3<lxl<5

Step-by-step explanation:

take least number than use x in absolute value bars than take highest number sorry if this is wrong I'm just a kid

Answer:

Subtraction property of equality

Step-by-step explanation:

In mathematics that are various types of properties that can be used to solve for questions

In the above question:

If 3x - 14 = 12

then 3x = 26

The property that is applied here is the Subtraction property of equality.

The subtraction property of equality states that when we subtract from one side of and algebraic expression, we must subtract from the other side

a = b

a - c = b - c

a = 3x

b = 26

c = 14

3x = 26

3x - 14 = 26 - 14

then 3x - 14 = 12

Each year, your bank account would accumulate $30 in interest.

A bank account is a financial account provided by a bank or financial institution that allows individuals or businesses to deposit money, make withdrawals, and perform various financial transactions. Bank accounts offer a secure and convenient way to manage and store your money.

To calculate the amount of money that would accumulate in your bank account each year from a $600 tax refund invested at 5% simple interest, we can use the formula:

Interest = Principal * Rate

where:

Principal = $600 (initial investment)

Rate = 5% (0.05 in decimal form)

Interest = $600 * 0.05

Interest = $30

Therefore, each year, your bank account would accumulate $30 in interest.

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Answer:

x^2+10x+21

Step-by-step explanation:

Blue box: x*x=x^2

Green box: x*3=3x

Purple box: 7*x=7x

Orange box: 7*3=21

x^2+(3x+7x)+21

Combine like term

A: x^2+10x+21

Answer:

42x + 21y = -2

~theLocoCoco

The mean for the number of people with the genetic mutation in such groups of 600 is 18.

Given that,

About 3% of the population has a particular genetic mutation.

This means that for any group of people, 3% of the people has a particular genetic mutation.

This is a binomial distribution.

Probability that people having genetic mutation = 3% = 0.03

Random sample size = 600

Mean for a binomial distribution can be calculated as,

Mean = n × p

         = 600 × 0.03

         = 18

Hence the mean number of people having genetic mutation is 18.

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The value of the missing side lengths x and y are 5√2 and 5 respectively.

The figure in the image is a right triangle.

Angle θ = 45 degree

Hypotenuse = x

Opposite to angle θ = y

Adjacent to angle θ = 5

To solve for side x and side y, we use the trigonometric ratio.

Note that:

Cosine = adjacent / hypotenuse

tangent = opposite / adjacent

Solving for x:

Cosine = adjacent / hypotenuse

Plug in the values

cos( 45 ) = 5/x

x = 5 / cos( 45 )

x = 5√2

Solving for side y:

tangent = opposite / adjacent

Plug in the values

tan( 45 ) = y/5

y = tan( 45 ) × 5

y = 5

Therefore, the value of side length x is 5 units.

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Work Shown:

952*1.046 = 995.792 = 995.79

The multiplier 1.046 represents an increase of 4.6% because

100% + 4.6% = 1+ 0.046 = 1.046

Answer:

(-infinity, infinity)

Step-by-step explanation:

Answer:

∠CDF = 23° ,  ∠CFD = 115° , ∠AFB = 115° , ∠BFD = 65° , ∠ABC = 42°

Step-by-step explanation:

m∠CDF = 180 - m∠CDE

m∠CDF = 180 - 157

m∠CDF = 23°

m∠CFD = 180 - ( m∠DCF + m∠CDF )

m∠CFD = 180 - ( 42 + 23 )

m∠CFD = 115°

m∠AFB = m∠CFD (Vertically opposite angles)

m∠AFB = 115°

m∠BFD = 180 - m∠CFD

m∠BFD = 180 - 115

m∠BFD = 65°

∠ABC

Solution 1:

m∠ABC = m∠DCF (Alternate angles)

m∠ABC = 42°

Solution 2:

In ΔAFB

m∠FAB = m∠CDF (Alternate angles)

m∠FAB = 23°

m∠ABC = 180 - ( m∠AFB + m∠FAB )

m∠ABC = 180 - ( 115 + 23 )

m∠ABC = 42°

Answer: 5,922 km

Step-by-step explanation: multiply the value in kilometers by the conversion factor '0.62137119223742'.

So, 5922 kilometers = 5922 × 0.62137119223742 = 3679.76020043 miles.

The compound amount after 3 years is $2275.22.

In this case, you are given:

Principle = $2,000

rate = 0.0353

time = 3

You need to find A, the compound amount after 3 years.

To do this, you need to plug in the values of P, r and t into the formula and use a calculator:

A=P×e^rt

A=2000×(e)^0.0353×3

A≈2275.22

Therefore, by the compound interest the answer will be $2275.22.

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259.25π in² is the surface area of the cone

The surface area of a cone can be calculated using the formula SA = πr² + πrl

where r is the radius and l is the slant height.

Given that the diameter is 17 inches, the radius (r) is half of the diameter, which is 17/2 = 8.5 inches.

The slant height (l) is given as 22 inches.

Substituting these values into the formula:

Surface Area = π(8.5)² + π(8.5)(22)

= 72.25π + 187π

= 259.25π

Therefore, the surface area of the cone is 259.25π in²

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Answer:

The slope equals -⁴/3

Step-by-step explanation:

Slope of the line passing through the origin (0, 0) and (-9, 12):

Slope = \( \frac{y_2 - y_1}{x_2 - x_1} = \frac{12 - 0}{-9 - 0} = \frac{12}{-9} = -\frac{4}{3} \)

Slope (m) = -⁴/3

Answer:

To simplify the expression (a÷b)³×(b÷c)×(c÷a)³ when a=3, b=a², c=a³, we can substitute the given values and perform the calculations.

Substituting the values of a, b, and c:

a = 3

b = a² = 3² = 9

c = a³ = 3³ = 27

Now let's simplify the expression:

(a÷b)³×(b÷c)×(c÷a)³

(3÷9)³×(9÷27)×(27÷3)³

Simplifying each term:

(3÷9) = 1/3

(9÷27) = 1/3

(27÷3) = 9

Now we can substitute the simplified values back into the expression:

(1/3)³×(1/3)×9

Simplifying further:

(1/27)×(1/3)×9

1/9

Therefore, the simplified expression is 1/9.

Answer:

Step-by-step explanation:

Let x be the total no. of strawberries, Let Sue be "S", Let Jim be "J" and Dan be "D"

S = 2x/7

J = 54+S -> J = 54+(2x/7)

D = 78

J+D = 5x/7

54+(2x/7)+78 = 5x/7

132+2x/7 = 5x/7

132 = (5x/7)-(2x/7)

132 = 3x/7

132*7 = 3x

924/3 = x

x = 308.

Therefore, there were initially 308 strawberries in the basket.

Of which; Sue had two-sevenths: 88, Jim had 142 and Dan had 78

To verify our answer, add these to see if we get 308

S+J+D = 308

88 + 142 + 78 = 308

Answer:

7/25

Step-by-step explanation:

Of means multiply in math (most of the time).

So multiply.

2/5 x 7/10 = 14/50 divided by 2/2 = 7/25

Answer:

Step-by-step explanation:

\(y=(\frac{1}{g} )x\)

Constant up a proportionally is  \(\frac{1}{g}\).

When 'a' is 10, 'c' is approximately 142.97. You can repeat this process for different values of 'a' to find corresponding values of 'c'. Keep in mind that there are infinitely many solutions to this equation

To use the elimination method to solve the equation 2a + c = 162.97, we need another equation with the same variables. However, as there is only one equation given, we cannot apply the elimination method directly.

The elimination method typically involves adding or subtracting equations to eliminate one of the variables, resulting in a new equation with only one variable. Since we have only one equation, we don't have the opportunity to eliminate variables using another equation.

In this case, we can solve the given equation directly by isolating one variable in terms of the other. Let's solve for 'c':

2a + c = 162.97

Rearrange the equation to isolate 'c':

c = 162.97 - 2a

Now, we have an expression for 'c' in terms of 'a'. This equation represents a line in the 'a-c' coordinate plane. We can choose any value for 'a', substitute it into the equation, and calculate the corresponding 'c' value.

For example, let's say we choose 'a' = 10:

c = 162.97 - 2(10)

c = 162.97 - 20

c = 142.97

So, when 'a' is 10, 'c' is approximately 142.97.

You can repeat this process for different values of 'a' to find corresponding values of 'c'. Keep in mind that there are infinitely many solutions to this equation since we have one equation and two variables.

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Answer:

1

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

You're welcome!