parentheses. Write the rounded value on the line
1. 5 672 874 627
(nearest millions)

Answer:

5/6 is greater than 4/5

Step-by-step explanation:

4/5 = 0.8

5/6 = 0.833333

Answer:

no

Step-by-step explanation:

5/6 is greater than 4/5

The answer is , the arc length of the circle is 18π/7 cm.

To find the arc length of a circle with a 9-centimeter radius and a central angle of 2π/7 radians, we can use the formula:
Arc length = radius x central angle
Substituting the given values, we get:
Arc length = 9 cm x 2π/7 radians
Simplifying this expression, we get:
Arc length = 18π/7 cm
Therefore, the arc length of the circle is 18π/7 cm.

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Answer:

d like who doesnt know how to do it

Step-by-step explanation:

The maximum height of the projectile is 56.53 meters.

The height of a projectile at time t is represented by the function h (t)= −4.9 t² +18t + 40, where h(t) is the height in meters and t is the time in seconds.

This is a quadratic function of the form h(t) = at² + bt + c, where a = -4.9, b = 18, and c = 40.

To find the maximum height of the projectile, we need to find the vertex of the parabolic graph of the function h(t).

The vertex of the parabola is at the point (t, h(t)) where t = -b/2a. Substituting the values of a and b, we get t = -18/(2(-4.9)) = 1.8367 seconds.

To find the maximum height, we need to substitute t = 1.8367 seconds into the function h(t). h(1.8367) = -4.9(1.8367)^2 + 18(1.8367) + 40 = 56.53 meters.

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Bahama Foods sets the selling price per unit at $39.50, which allows them to cover both their fixed costs and variable costs per unit.

To find the selling price per unit at Bahama Foods, we need to consider the break-even point, fixed costs, and variable costs.

The break-even point represents the level of sales at which total revenue equals total costs, resulting in zero profit or loss. In this case, the break-even point is given as 1,600 units.

Fixed costs are costs that do not vary with the level of production or sales. Here, the fixed costs are stated to be $44,000.

Variable costs, on the other hand, are costs that change in proportion to the level of production or sales. It is mentioned that the variable cost per unit is $12.

To determine the selling price per unit, we can use the formula:

Selling Price per Unit = (Fixed Costs + Variable Costs) / Break-even Point

Substituting the given values:

Selling Price per Unit = ($44,000 + ($12 * 1,600)) / 1,600

= ($44,000 + $19,200) / 1,600

= $63,200 / 1,600

= $39.50

Therefore, the selling price per unit at Bahama Foods is $39.50.

This means that in order to cover both the fixed costs and variable costs, Bahama Foods needs to sell each unit at a price of $39.50.

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Margin of error for 99% confidence interval is 0.0021

What is confidence interval?

he range of values that, should you repeat your experiment or resample the population in the same manner, you would anticipate your estimate to fall within a particular percentage of the time.

Main Body:

Given :

99% Confidence Interval for p

p = 0.24,n = 276000

Significance level = α = 1− confidence = 1 − 0.99 = 0.01

Critical z-value = zα/2 = z0.01/2 = z0.005 = 2.58 (closest value From z table)

Standard e

or of p : SE =

√p× (1 − p)n=√0.24 × 0.76276000

≈ 0.0008129

E = zα/2 ×√p× (1 − p)n

= 2.58 × 0.0008129 ≈ 0.002097

Hence ,Margin of Error or, E = 0.00210

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If we change x by -0.7, we can expect the value of f(x) to decrease by approximately 2.1 units.

Assuming you meant to say "let f be a differentiable function where f(9) = 4 and f'(9) = 3. If we change x by -0.7 and we change y by 0.3, then we can expect the value of f(x) to change by approximately what amount?"

Using the linear approximation formula, we have:

\(Δf(x) ≈ f'(9) Δx\)

where Δx = -0.7 and we want to find Δf(x) when Δy = 0.3.

We can rearrange the formula to solve for Δf(x):

\(Δf(x) ≈ f'(9) Δx\)

Δf(x) ≈ 3(-0.7)

Δf(x) ≈ -2.1

This means that if we change x by -0.7, we can expect the value of f(x) to decrease by approximately 2.1 units. However, this is only an approximation based on the linear behavior of the function near x = 9, so it may not be exactly accurate for large changes in x.

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Answer:

m=-3

Step-by-step explanation:

move the -22 to the other side by adding 22 on both sides:

m-22+22=-25+22

Simplify:

m=-3

Answer: m=-3

Hope this helps!

Answer:

B. Yes

Step-by-step explanation:

Answer:

10.77

Step-by-step explanation:

√(4-0)²+(10-0)²

√4²+10²

√16+100

√116

10.77

Answer:

11

Step-by-step explanation:

For this problem, we simply need to apply the distance formula:

distance = sqrt[ (y2 - y1)^2 + (x2 - x1) ]

distance = sqrt[ (10 - 0)^2 + (4 - 0)^2 ]

distance = sqrt[ (10)^2 + (4)^2 ]

distance = sqrt[ 100 + 16]

distance = sqrt [ 116 ]

distance ~= 10.77

The approximate distance rounded to a whole number is 11.

Cheers.

Since the group has rejected the null hypothesis, we can conclude that there is evidence to suggest that the mayor's claim that 51% of the residents favor annexation of a new bridge is inaccurate.

If the community group has rejected the null hypothesis at the 0.05 level, it means that they have found evidence to suggest that the true proportion of residents who favor the annexation of a new bridge is different from 51%.

The null hypothesis (H0) is that the true proportion is equal to 51%, while the alternative hypothesis (Ha) is that it is different from 51%.

H0: p = 0.51

Ha: p ≠ 0.51

The community group's decision to reject the null hypothesis means that the p-value of the test statistic is less than 0.05. The p-value is the probability of obtaining a test statistic as extreme or more extreme than the observed value, assuming the null hypothesis is true.

If the p-value is less than the level of significance (0.05 in this case), we reject the null hypothesis in favor of the alternative hypothesis.

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Answer:

SA = 94 ft²

Step-by-step explanation:

To find the surface area of a rectangular prism, you can use the equation:

SA = 2 ( wl + hl + hw )

SA = surface area of rectangular prism

l = length

w = width

h = height

In the image, we are given the following information:

l = 4

w = 5

h = 3

Now, let's plug in the information given to us to solve for surface area:

SA = 2 ( wl + hl + hw)

SA = 2 ( 5(4) + 3(4) + 3(5) )

SA = 2 ( 20 + 12 + 15 )

SA = 2 ( 47 )

SA = 94 ft²

If this answer helped you, please leave a thanks!

Have a GREAT day!!!

Answer:

m = -1/3

Step-by-step explanation:

a. 540 cubic meters of the iceberg is below the water .

b. 480 cubic meters is volume of the iceberg are below the waterline.

Proportion is a mathematical concept that relates two or more quantities in a fixed relationship or ratio. In other words, a proportion is a statement that two ratios are equal. For example, the statement "2/5 equals 4/10" is a proportion, because both ratios simplify to 2:5.

Proportions are often used in problem-solving and real-world applications, such as in cooking recipes, financial calculations, and engineering designs. Proportions can be used to find missing values or to scale up or down quantities while maintaining the same ratio. They can also be used to compare two different sets of data by calculating their relative sizes or growth rates.

a) If 60 cubic meters of the iceberg are visible above the water and the ratio of visible iceberg to total iceberg is 1:9, then we can set up the proportion:

visible iceberg/total iceberg = 1/9

We can solve for the total iceberg by cross-multiplying and simplifying:

visible iceberg/1 = total iceberg/9

total iceberg = 9 * visible iceberg

total iceberg = 9 * 60 cubic meters

total iceberg = 540 cubic meters

b) The total volume of the iceberg is 540 cubic meters, and we know that the visible portion of the iceberg is 60 cubic meters. Therefore, the volume of the iceberg below the waterline is:

total volume - visible volume = 540 - 60 = 480 cubic meters

So, 480 cubic meters of the iceberg are volume.

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Answer:

D. 31 years

Step-by-step explanation:

To find the range subtract the greatest number by the least number.

Answer:

23,26,28,32,33,25,38,40,41,54

Now subtract the largest value from smallest one .

54 - 23 = 31

So, Range = 31 years

Hope it helpful to you

The equation of the tangent to the curve at the point (1, 1) is y = -x + 2.

To find the equation of the tangent to the curve at the point corresponding to the parameter value t = 1, we need to calculate the derivative dy/dx and substitute the given value of t into it.

Given the parametric equations:

x = t - t⁻¹

y = 1/t²

We differentiate both equations with respect to t:

dx/dt = 1 + t⁻²

dy/dt = -2/t³

To find dy/dx, we use the chain rule:

dy/dx = (dy/dt)/(dx/dt) = (-2/t³)/(1 + t⁻²)

Substituting t = 1 into dy/dx:

dy/dx = (-2/1³)/(1 + 1⁻²) = -2/2 = -1

Therefore, the slope of the tangent at t = 1 is -1. Since the point corresponding to t = 1 is (1, 1), we can use the point-slope form of a line to find the equation of the tangent:

y - y1 = m(x - x1)

y - 1 = -1(x - 1)

y - 1 = -x + 1

y = -x + 2

Thus, the equation of the tangent to the curve at the point corresponding to t = 1 is y = -x + 2.

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Answer:

There are different ways to approach this problem, but one possible method is:

Define the event A as "the student owns a trampoline".

Find the probability of A: P(A) = 21/23, because 21 out of 23 students said they owned a trampoline.

Find the probability of the complement of A, which is "the student does not own a trampoline". We can denote this event as A', and it is equivalent to "the student is one of the 2 students who did not say they owned a trampoline". Therefore, P(A') = 2/23.

Check that P(A) + P(A') = 1, because the student either owns a trampoline or does not.

Answer the question: the probability that the student does not own a trampoline is P(A') = 2/23, or approximately 0.087 or 8.7% (rounded to one decimal place).

Therefore, the answer is: the probability that the student does not own a trampoline is 2/23, or approximately 0.087 or 8.7%.

Diameter = 17 cm

Radius = r = Diameter /2 = 17/2 =8.5 cm

Surface area of a sphere: 4 π r^2

Replacing with the values given:

SA = 4 π (8.5) ^2 = 907.92 cm^2

The 64th term of the arithmetic sequence -3, -14 -25, will be - 696.

An arithmetic sequence is the sequence of numbers where each consecutive numbers have same difference.

Given that;

The arithmetic sequence is,

⇒ -3, -14 -25.

Now,

Since, We know that;

⇒ nth term = a + (n - 1)d

Where, 'a' is first term, 'd' is common difference.

Here, The arithmetic sequence is,

⇒ -3, -14 -25.

First term (a) = - 3

Common difference (d) = - 14 - (-3)

                                    = - 14 + 3

                                    = - 11

So, We get;

⇒ 64th term = - 3 + (64 - 1) (-11)

                    = - 3 + 63 × - 11

                    = - 3 - 693

                    = - 696

Thus, 64th term = - 696

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Answer:

5x...................

Answer:

7 rides

Step-by-step explanation:

38/5=7 with a remainder of 3. He need 5 tickets to ride so he can only take 7 rides.

The yearly insurance fee is paid for a house valued at 4,500 naira if the fee is 1/8 of it's value is 562.5.

The term "percentage" comes from the Latin phrase "per centum," meaning means "by the hundred." Percentages is fractions with a denominator of 100.

In other terms, it is the relationship between portion and whole in which the value of the whole is always assumed to be 100.

Calculating a percentage implies determining a portion of a whole in term of 100. A percentage can be calculated in two ways:

Now, according to the question;

The initial value of the house is 4,500.

The insurance fee is 1/8 of 4,500.

1/8 in percentage is;

= (1/8)×100

= 12.5

Now, calculate the 12.5 of 4,500.

= (12.5×4,500)/100

= 562.5

Therefore, the insurance fee paid for the house is 562.5.

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It would take the automated car wash 20 hours to wash 120 cars.

What is rate ?

In general, a rate is a measure of how much of something happens within a certain period of time. It can be thought of as a ratio that compares two different units of measurement.

In the context of the problem, the rate at which the automated car wash can wash cars is the number of cars that it can wash per unit of time.

The rate at which the automated car wash can wash cars is 30 cars per 5 hours. To find out how long it would take to wash 120 cars, we can use the formula:

Time = (Number of cars / Rate)

Time = (120 cars / 30 cars per 5 hours)

Time = (120/30) * 5 hours

Time = 20 hours

So it would take the automated car wash 20 hours to wash 120 cars.

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The rate at which the automated car wash can wash cars is 30 cars per 5 hours. To find out how long it would take to wash 120 cars, we can use the formula:

Time = (Number of cars / Rate)

Time = (120 cars / 30 cars per 5 hours)

Time = (120/30) * 5 hours

Time = 20 hours

So it would take the automated car wash 20 hours to wash 120 cars.

Answer:

2(5a-4a)+6a

= 10a-8a+6a

= 2a+6a

= 8a

Gerard concluded that triangle with given sides cannot be used as  building-frame support because it is not right triangle, he come to this conclusion because the Pythagoras-theorem is not satisfied.

In order to check if a triangle is "right-triangle", Gerard used the Pythagorean theorem. According to this theorem, in right triangle, the square of length of hypotenuse (the side opposite the right angle) is equal to sum of squares of other two sides,

So, the squares of the given sides are :

Square of √95 feet = (√95)² = 95 feet

Square of 8 feet = 8² = 64 feet

Square of √150 feet = (√150)² = 150 feet

We see that, 95 feet + 64 feet = 159 feet ≠ 150 feet,

Since the square of the longest side (√150) is not equal to the sum of the squares of the other two sides (√95 and 8), the Pythagorean-theorem is not satisfied.

Therefore, Gerard concluded that the triangle with sides √95 feet, 8 feet, and √150 feet is not a right triangle.

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The given question is incomplete, the complete question is

Gerard concluded that the triangle with sides √95 feet, 8 feet, and √150 cannot be used as a building frame support on the house because it is not a right triangle. How did Gerard come to that conclusion? explain.

Pressure is the amount of force applied per unit area. It is a measure of how much force is distributed over a given surface area and is commonly measured in units such as Pascals (Pa) or pounds per square inch (psi). In physics, pressure can be described by the formula:

The pressure between Jenny and the floor can be calculated by dividing the force she applies by the total area of her feet. First, we need to convert the area of her feet from cm² to m², since pressure is measured in N/m². We can do this by dividing the area by 10,000 (since there are 10,000 cm² in 1 m²):

160 cm² ÷ 10,000 = 0.016 m²

Now we can calculate the pressure:

Pressure = Force ÷ Area
Pressure = 600 N ÷ 0.016 m²
Pressure = 37,500 N/m²

Therefore, the pressure between Jenny and the floor when she stands on both feet is 37,500 N/m². This means that for every square meter of floor that Jenny's feet are in contact with, there is a force of 37,500 N pushing against it. It's worth noting that this is quite a high pressure - for comparison, the average atmospheric pressure at sea level is around 101,325 N/m². This is because Jenny's weight is concentrated over a relatively small area (her feet), whereas the weight of the entire atmosphere is distributed over the entire surface of the Earth.

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the ratio 1 is to 2 is equivalent to 3: 6

What is an equivalent ratios?

A ratio compares two quantities named as antecedent and consequent, by the means of division. For example, when we cook food, then each ingredient has to be added in a ratio. Thus, we can say, a ratio is used to express one quantity as a fraction of another quantity.

Two ratios are equivalent to each other if one of them can be expressed as the multiple of the other. Hence, to get the equivalent ratio of another ratio, we have to multiply the two quantities (antecedent and consequent) by the same number.

Given ratios are 2:1 and 3:1

we can write it as 2/1 and 3/1.

The lcm of 2 and 3 is 6.

Multiply denominator of both ratio with 6, we get

2/6 and 3/6 And we can see both the ratios are not equal.

Hence, there are not equivalent ratios.

4:1 and 8:3 are equivalent ratios -----> is false, because 4:1 is equivalent to 8:2

11:2 and 2:11 are equivalent ratios------> is false (because, are reciprocal ratios, not equivalent ratios)

3:1 and 9:3 are equivalent ratios ------> is true

because 3:1 multiply both sides by 3 -----> 3*3:1*3=9:3

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Answer:

There's no A so I'm going to assume you meant X

X = 23

Step-by-step explanation:

X is equal to 23, because 23 - 18 = 5

or 5 + 18 = 23