Roxanne has already jarred 10 liters of jam and will jar an additional 3 liters of jam every
day. How many days does Roxanne need to spend making jam if she wants to jar 16 liters
of jam in all?
Explain please and how to do the equation

Answer:

a8 = 512.

Step-by-step explanation:

This is geometric sequence with common ratio r = 2 and first term a1 = 4.

nth term = a1 r^(n-1)

So a8 = 4 2(^8-1)

= 4 * 2^7

= 4*128 = 512.

Answer:

2.828

Step-by-step explanation:

Answer:

\( \sqrt{125 {p}^{2} } = p \sqrt{25} \sqrt{5} = 5p \sqrt{5} \)

D is the correct answer.

Answer:

messy... but hope it helps you.

The volume of each sphere rounded to two decimal places are as follows;

In Mathematics and Geometry, the volume of a sphere can be calculated by using the following mathematical equation (formula):

Volume of a sphere, V = 4/3 × πr³

Where:

r represents the radius.

By substituting the given parameters into the formula for the volume of a sphere, we have the following;

Volume of sphere, V = 4/3 × 3.14 × 4³

Volume of sphere, V = 803.84/3 = 267.95 in³.

Volume of sphere, V = 4/3 × 3.14 × 12³

Volume of sphere, V = 21,703.68/3 = 7,234.56 ft³.

Volume of sphere, V = 4/3 × 3.14 × 22³

Volume of sphere, V = 803.84/3 = 267.95 yd³.

Volume of sphere, V = 4/3 × 3.14 × 7³

Volume of sphere, V = 133,738.88/3 = 44,579.63 in³.

Volume of sphere, V = 4/3 × 3.14 × 2³

Volume of sphere, V = 100.48/3 = 33.49 yd³.

Volume of sphere, V = 4/3 × 3.14 × 15³

Volume of sphere, V = 42,390/3 = 14,130 ft³.

Volume of sphere, V = 4/3 × 3.14 × 18³

Volume of sphere, V = 73,249.92/3 = 24,416.64 in³.

Volume of sphere, V = 4/3 × 3.14 × 23³

Volume of sphere, V = 152,817.52/3 = 50,939.17 ft³.

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Answer:

Just divide the 5 and 3 to get 1.6, meaning he will use 1.6 pounds per house.

Step-by-step explanation:

Answer:

0.6 pounds of nails

Step-by-step explanation:

3/5=0.60

2 Answers. It is certainly possible (in mostly silly cases). For example, suppose you sample the same x value twice and get two experimental y values that differ. One such case might be getting the points (0,−1) and (0,1) if we sample x=0 twice.

Answer:

yes because for data you need more than one line.

Step-by-step explanation:

Answer:

C.

Step-by-step explanation:

It says from least to greatest. You start off looking at the whole numbers and 1 is the least. Your going to start at 1 2/5 (that rules off A and B). The next number you need to compare is 3/10 and 5/8. Since 5/8 is bigger than 3/10 the answer would be C.

Answer:

Ans 26

Step-by-step explanation:

F(x) = x/2

proof:

at x=0, f(x)=0

at x= -2 , f(x) = -1

and x = -4 , f(x) = -2

that's it.

Answer:= 87.50m

Step-by-step explanation: base × height ÷2

                                                25 ×  7     ÷    2

                                                175      ÷ 2  

                                              =   87.50

To calculate the line integral of the given vector field, we will use the formula of line integral. For the given function, the formula will be:∫CF.v dlWhere v = (x²+2yz)i + y²j and dl = dx i + dy j + dz kTherefore,∫CF.(x²+2yz) dx + y² dy … (1)Here, C is the curve from point (0,0,0) to (1,1,1) along the given route, that is, (0,0,0) + (1,0,0) + (1,1,0) + (1,1,1).∴

The above line integral is the required value. So, we need to evaluate this integral. To calculate the line integral of the given vector field, we will use the formula of line integral. For the given function, the formula will be:

∫CF.v dl

Where

v = (x²+2yz)i + y²j

and

dl = dx i + dy j + dz k

Therefore,

∫CF.(x²+2yz) dx + y² dy … (1)

Here, C is the curve from point (0,0,0) to (1,1,1) along the given route, that is, (0,0,0) + (1,0,0) + (1,1,0) + (1,1,1).∴ The above line integral is the required value. So, we need to evaluate this integral.The integral is a line integral of a vector field, with the curve path of integration is given by C as follows: C: (0,0,0) + (1,0,0) + (1,1,0) + (1,1,1)In other words, we need to evaluate the integral of the dot product of the vector field v with the differential of the curve:

∫CF.v dl...

where

v = (x²+2yz)i + y²j

and

dl = dx i + dy j + dz k

We must split the curve C into three distinct segments before we can start evaluating the integral. The segments will be from (0,0,0) to (1,0,0), from (1,0,0) to (1,1,0), and from (1,1,0) to (1,1,1).Let's start with the first segment, from (0,0,0) to (1,0,0). We can set x = t, y = 0, z = 0, with t varying from 0 to 1, to parametrize this segment. Then dx = dt, dy = 0, dz = 0. We have:∫(0,0,0)to(1,0,0)

vdl = ∫0to1(x²+2yz)dx + y²dy + 0dz= ∫0to1(t²+0)dt + 0 + 0= [t³/3]0to1= 1/3

Now, let's evaluate the second segment, from (1,0,0) to (1,1,0). We can set x = 1, y = t, z = 0, with t varying from 0 to 1, to parametrize this segment. Then dx = 0, dy = dt, dz = 0. We have:

∫(1,0,0)to(1,1,0)vdl = ∫0to1(x²+2yz)dx + y²dy + 0dz= ∫0to1(1²+0)dx + t²dy + 0dz= 1∫0to1(t²)dt= [t³/3]0to1= 1/3

Finally, let's evaluate the third segment, from (1,1,0) to (1,1,1). We can set x = 1, y = 1, z = t, with t varying from 0 to 1, to parametrize this segment. Then dx = 0, dy = 0, dz = dt. We have:

∫(1,1,0)to(1,1,1)vdl = ∫0to1(x²+2yz)dx + y²dy + 0dz= ∫0to1(1²+2(1)(t))dx + 1²dy + 0dz= ∫0to1(1+2t)dt + 1(0to1)+ 0= [t²+t]0to1+ 1= 3/2

Therefore, the line integral is the sum of the integrals along the three segments:

∫CF.v dl= 1/3+ 1/3+ 3/2= 2

Thus, the value of the line integral of the given function v = x²+2yzi + y²j from (0,0,0) the point (1,1,1) by the route (0,0,0) + (1,0,0) + (1,1,0) + (1,1,1) is equal to 2.

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Answer:

y=2x

Step-by-step explanation:

So it meets the y axis at 0 to there is no y intercept needed to be put into the equation

The line goes up by 2 and across by 1 so the gradient = 2/1 = 2

So: y = 2x

Answer:

Yessir he's coming soon

Step-by-step explanation:

The measure of each angle is 104° and 76°.

Supplementary refers to angles that come together to form a straight angle. It indicates that when two angles sum up to 180 degrees, they are said to be supplementary angles. If two angles Supplementary one another if,

It has an acute angle on one side and an obtuse angle on the other.

The angles are both right angles.

Given An angle that measures 28° more than the measure of its supplementary angle,

let the angle be x

and  supplementary angle of x =  180 - x

according to condition

x = 28 + 180 - x

2x = 208

x = 208/2

x = 104°

and  supplementary angle of x =  180 - x

 supplementary angle of x =  180 - 104

 supplementary angle of x = 76°

Hence the angles are 104° and 76°.

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Answer:

3rd one

Step-by-step explanation:

Answer:

it would be 19/15k

Step-by-step explanation:

Answer:

Hi! I think it's 15/8t and 19/15k

The true direction of the plane with the wind is approximately N112.9°E, and its true speed is approximately 273.6 mph.

To find the true direction and speed of the plane with the wind, we need to consider the effect of the wind on the plane's motion. We can break down the plane's velocity into two components: the component in the direction of the bearing and the component perpendicular to the bearing.

The component in the direction of the bearing can be found using trigonometry. The bearing of 150° can be represented as an angle measured clockwise from the north, so the component in the direction of the bearing is given by 280 mph * cos(150°). This yields a value of approximately 140 mph.

The component perpendicular to the bearing is the effect of the wind. The wind blows in the direction of N30°E, which is an angle measured clockwise from the north. The component of the wind's velocity in the perpendicular direction is given by 40 mph * sin(30°). This yields a value of approximately 20 mph.

To find the true direction, we add the wind's component perpendicular to the bearing to the bearing. The resulting direction is approximately N112.9°E.

To find the true speed, we use the Pythagorean theorem. The true speed is the magnitude of the vector sum of the plane's velocity in the direction of the bearing and the wind's velocity in the perpendicular direction. This gives us approximately 273.6 mph.

Therefore, the true direction of the plane with the wind is approximately N112.9°E, and its true speed is approximately 273.6 mph.

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The required white effective interest rate is 0.71% more than his nominal interest rate.

Compound interest is the interest on deposits computed on both the initial principal and the interest earned over time.

Here,

White Effective interest R,
\(R=(1+i/m)^m)-1\\R=(1+0.1362/4)^4)-1\\R =0.1433*100=\)
R = 14.33 percent

So

Difference in interest = 14.33%-13.62%
                                    =0.71%

Thus, the required white effective interest rate is 0.71% more than his nominal interest rate.

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The value of the expression sec (-π) is equal to -1 if the given expression is undefined.

As given in the question,

Given expression: sec (-π)

Standard position of unit circle: -π is representing semicircle with terminal point on negative x-axis with coordinates (-1, 0)

Hypotenuse = √ (-1)² + 0²

                     = 1

Value of the expression is given by

sec α = Hypotenuse / Base (x-coordinate)

⇒sec(-π) = 1 / -1

⇒sec(-π) = -1

Therefore, the value of the expression sec (-π) is equal to -1.

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The answer is option (C), that is, the events of rolling a fair die two times are independent. The events are neither disjoint nor exclusive.

When rolling a fair die two times, one can get any one of the 36 possible outcomes equally likely. Let A be the event of obtaining an even number on the first roll and let B be the event of getting a number greater than 3 on the second roll. Let’s see how the outcomes of A and B are related:

There are three even numbers on the die, i.e. A={2, 4, 6}. There are four numbers greater than 3 on the die, i.e. B={4, 5, 6}. So the intersection of A and B is the set {4, 6}, which is not empty. Thus, the events A and B are not disjoint. So option (A) is incorrect.

There is only one outcome that belongs to both A and B, i.e. the outcome of 6. Since there are 36 equally likely outcomes, the probability of the outcome 6 is 1/36. Now, if we know that the outcome of the first roll is an even number, does it affect the probability of getting a number greater than 3 on the second roll? Clearly not, since A∩B = {4, 6} and P(B|A) = P(A∩B)/P(A) = (2/36)/(18/36) = 1/9 = P(B). So the events A and B are independent. Thus, option (C) is correct. Neither option (A) nor option (C) can be correct, so we can eliminate options (D) and (E).

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r as a percent is a) a = 79, b = 1.002, and r = 0.2%.

The formula given, q = abt = a(1+r)t, represents exponential growth, where a is the starting value, b is the growth factor, r is the growth rate, t is the time period, and q is the final value after t periods.

Given q = 79(1.002)^t, we can see that:

a = 79 (the starting value)

b = 1.002 (the growth factor)

r = 0.2% or 0.002 (the growth rate, expressed as a decimal)

So, the correct answer is a) a = 79, b = 1.002, and r = 0.2%.

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Based on the arithmetic sequence with the first term −5 and the common difference 4 is 660, we could find m = 20.

To find the sum of the first m terms of an arithmetic sequence, we can use the formula:

sum = (m/2)(2a + (m-1)d),

where a is the first term,

d is the common difference,

and m is the number of terms.

In this case, we are given a = −5, d = 4, and sum = 660. We can plug these values into the formula and solve for m:
660 = (m/2)(2(-5) + (m-1)(4))
660 = (m/2)(-10 + 4m - 4)
660 = (m/2)(4m - 14)
1320 = m(4m - 14)
0 = 4m^2 - 14m - 1320

Now we can use the quadratic formula to solve for m:
m = (-b ± √(b^2 - 4ac))/(2a)
m = (-(−14) ± √((−14)^2 - 4(4)(-1320)))/(2(4))
m = (14 ± √(196 + 21120))/8
m = (14 ± √21316)/8
m = (14 ± 146)/8

Now we have two possible values for m:
m = (14 + 146)/8 = 160/8 = 20
m = (14 - 146)/8 = -132/8 = -16.5

Since m must be a positive integer, we can conclude that m = 20. Therefore, the sum of the first 20 terms of the arithmetic sequence is 660.

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The graph of the equation x^2/49 + (y + 1)^2/4 = 1 is added as an attachment

The expression that represents the function in words is given as

StartFraction x squared Over 49 EndFraction + StartFraction (y + 1) squared Over 4 EndFraction = 1

Express the equation properly

So, we have

x^2/49 + (y + 1)^2/4 = 1

The above equation is an ellipse

Next, we plot the graph on a coordinate plane using a graphing tool

See attachment for the graph of the equation

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Answer:

Yes

Step-by-step explanation:

According to the analysis;

There are four 1/4 cups in one whole

There are eight 1/4 cups in two wholes

Then the fraction 2/4 = 1/4 + 1/4 Hence there are two 1/4 cups in 2/4.

Altogether we have the fraction 2 2/4 as 8 + 2 = 10 measures of 1/4 cups

To confirm, 10 * 1/4 = 2 2/4

Therefore, the analysis is correct.

Answer:

Option B

25/100

Step-by-step explanation:

0.25 = 25/100

Thus, The answer is 25/100

-TheUnknownScientist 72

Answer: B

Step-by-step explanation:

The answer is B 0.25 is 25/100

Answer:

Natural numbers are the numbers that start from 1 and go on till infinity. Natural numbers example- 1...2...3..4...5..6..7..8..9..10.....and so on.

Hope this helped.

Answer:

Examples of natural number => 1 , 2 , 3 ,  4 , 5...∞