Joseph buys a gallon of milk every 6th day and a box of cereal every 8th day. He bought both items today. In how many days will he buy both items together again?

Answer:

F will be +5

Step-by-step explanation:

The power expression "w^5" can be entered as "w^5".

To represent a power using the caret symbol, follow these steps:

Start with the base variable or term, in this case, "w".

Type the caret symbol (^), which can be accessed by pressing SHIFT-6 on your keyboard.

Immediately after the caret symbol, enter the exponent or power value, in this case, "5".

The resulting power expression "w^5" represents the variable "w" raised to the power of 5.

Regarding the use of the fraction tool, it is not required to represent the power "w^5" as it does not involve any fraction. The fraction tool is typically used to enter fractions or rational expressions in the form of numerator/denominator.

Therefore, to represent the power "w^5", simply write it as "w^5" without using the fraction tool.

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Answer:

43.6 has 3 significant figures.

Answer: I think 5

Step-by-step explanation: because think about what would equal 9 so 9x1 equals 9 I thought so I did it for the division 5/5 is 1 so 9/1 is 9 so do multiply 5/5 is 1

then 9x1 is 9 so N=5

hope that helps

Answer:

Expressing the information in terms of f we have;

Explanation:

Given that the amount of garbage G, produced by a city with population p is given as;

G - in tons per week

p - in thousands of people

Given that the town of Tola has a population of 30,000 and produces 11 tons of garbage each week then;

so, by substituting the values of G and p into the function above, the function becomes;

Therefore, expressing the information in terms of f we have;

Answer: D

Step-by-step explanation:

I know that B has no solution

I know that C is a decimal -0.875

D is true for all

and A is also a decimal 1.25

Using the radius of the Ferris wheel and the angle between the two positions, the time spent on the ride when they're 28 meters above the ground is 12 minutes

The radius of the Ferris wheel is 30 / 2 = 15 meters.

The highest point on the Ferris wheel is 15 + 4 = 19 meters above the ground.

The time spent higher than 28 meters is the time spent between the 12 o'clock and 8 o'clock positions.

The angle between these two positions is 180 degrees.

The time spent at each position is 10 minutes / 360 degrees * 180 degrees = 6 minutes.

Therefore, the total time spent higher than 28 meters is 6 minutes * 2 = 12 minutes.

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Answer:

B. 1.618

Step-by-step explanation:

I calculated it logically

Answer:

The answer should be 7 \(cm^{2}\)

Step-by-step explanation:

If I make a 4 by 4 rectangle around the figure, I will have a 4 by 4 square.

The area will be 16.  Now subtract out the triangle on the bottom left and top right.

The triangles have a length and a height of 3.

a = 1/2 (lxh)

1/2(3x3) + 1/2(3x3) = 9

Subtract 9 from 16

16-9 = 7

angle E= 48° Angle W= 32°

from the first triangle,

calculating for the measure of E

32°+100° +m<E= 180° (sum of angle in a triangle equal 180°)

132°+m<E= 180

M<E= 180- 132= 48°

for the second triangle

calculating for the measure of W

48°+100°+m<W= 180°(sum of angle in a triangle equal 180°)

148° + W = 180°

W = 180-148= 32°

Based on the limited information provided, it is not possible to definitively determine the type of economy in Country A. More specific details and factors would be necessary to make a conclusive determination.

Answer:

y = 4x + 2

Step-by-step explanation:

You would use point slope to solve this. y-y = m(x-x) m represents the slope. With your numbers it would look like this ------> y-6 = 4(x-1)-----> distribute the 4 -----> y-6 = 4x - 4 ------> add six on both sides ------> they cancel out on the left ------> y = 4x + 2. Hope this helped!!!!

Answer:

The products of 7 pairs of 2-digit numbers form 3-same digit numbers.

444=12*37

555=15*37

666=18*37

777=21*37

888=24*37 & 12*74

999=27*37

so the answer is 7

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

consider the coordinates of points C and A

C (4, - 1 ) and A (- 3, 2 )

4 → - 3 in the x- direction is - 7

- 1 → 2 in the y- direction is + 3

then the translation rule is

(x, y ) → (x - 7, y + 3 )

Answer:

x = 65.26 degrees or x = 245.26 degrees.

Step-by-step explanation:

To solve the equation 4tan(x)-7=0 for 0<=x<360, we can first isolate the tangent term by adding 7 to both sides:

4tan(x) = 7

Then, we can divide both sides by 4 to get:

tan(x) = 7/4

Now, we need to find the values of x that satisfy this equation. We can use the inverse tangent function (also known as arctan or tan^-1) to do this. Taking the inverse tangent of both sides, we get:

x = tan^-1(7/4)

Using a calculator or a table of trigonometric values, we can find the value of arctan(7/4) to be approximately 65.26 degrees (remember to use the appropriate units, either degrees or radians).

However, we need to be careful here, because the tangent function has a period of 180 degrees (or pi radians), which means that it repeats every 180 degrees. Therefore, there are actually two solutions to this equation in the given domain of 0<=x<360: one in the first quadrant (0 to 90 degrees) and one in the third quadrant (180 to 270 degrees).

To find the solution in the first quadrant, we can simply use the value we just calculated:

x = 65.26 degrees (rounded to two decimal places)

To find the solution in the third quadrant, we can add 180 degrees to the first quadrant solution:

x = 65.26 + 180 = 245.26 degrees (rounded to two decimal places)

So the solutions to the equation 4tan(x)-7=0 for 0<=x<360 are:

x = 65.26 degrees or x = 245.26 degrees.

Answer:

0

Step-by-step explanation:

Use rise over run (y2 - y1) / (x2 - x1)

Plug in the 2 points:

(y2 - y1) / (x2 - x1)

(7 - 7) / (8 - 0)

0/8

= 0

So, the slope is 0.

The slope is 0.

The slope is defined as the ratio of the vertical change between two points, the rise, to the horizontal change between the same two points, the run.

Given:

(0,7) and (8, 7)

slope = (y2 - y1)/ (x2 -x1)

slope = (7-7) / (8-0)

slope = 0/7

slope= 0

Hence, the slope is 0.

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If the archaeologist found a fossil whose length is 489.44 inches, using the conversion table, the length in feet, to the nearest tenth, is 40.8 feet.

The conversion table refers to the tabulated standard units of measurement, showing temperature, length, area, volume, weight, and metric conversions

For instance, the conversion table shows that 12 inches equal 1 foot.

The length of the fossil = 489.44 inches

12 inches = 1 foot

489.44 inches = 40.8 feet (489.44 ÷ 12)

Thus, using the conversion table, which relies on multiplication or division operations using the conversion factors, the length in feet of the fossil is 40.8 feet.

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first one:

Let's simplify the expression step by step:

4(a+5) - 5(a^2-4a+7)

= 4a + 20 - 5a^2 + 20a - 35 (distributing the 4 and -5)

= -5a^2 + 24a - 15 (combining like terms 4a and 20a, and combining 20 and -35)

So the simplified expression is -5a^2 + 24a - 15.

second one:

3(c-4) - 5(c^2+4c-8)

= 3c - 12 - 5c^2 - 20c + 40 (distributing the 3 and -5)

= -5c^2 - 17c + 28 (combining like terms 3c and -20c, and combining -12 and 40)

So the simplified expression is -5c^2 - 17c + 28.

Answer:

1. -5a^2+24a-15

2. -5c^2-17c+28

Step-by-step explanation:

1.

Distribute: 4a+20-5a^2+20a-35

Subtract the numbers: 4a-15-5a^2+20a

Combine like terms: 24a-15-5a^2

Rearrange terms: -5a^2+24a-15

2.

Distribute: 3c-12-5c^2-20c+40

Add the numbers: 3c+28-5c^2-20c

Combine like terms: -17c+28-5c^2

Rearrange terms: -5c^2-17c+28

Hope this helped!!!

Good luck!!!

Answer:

4x (x²+2)

Hope that helps

Answer:

4x(x+2x)

Step-by-step explanation:

There is no further explanations on it

Answer:

4 consecutive goals

Step-by-step explanation:

If 3 of last 10 field goals = 30%

Which is equivalent to

(Number of goals scored / total games played) * 100%

(3 / 10) * 100% = 30%

Number of consecutive goals one has to score to raise field goal to 50% will be:

Let y = number of consecutive goals

[(3+y) / (10+y)] * 100% = 50%

[(3+y) / (10+y)] * 100/100 = 50/100

[(3+y) / (10+y)] * 1 = 0.5

(3+y) / (10+y) = 0.5

3+y = 0.5(10 + y)

3+y = 5 + 0.5y

y - 0.5y = 5 - 3

0.5y = 2

y = 2 / 0.5

y = 4

Therefore, number of consecutive goals needed to raise field goal to 50% = 4

Using the x-intercept concept, the function has x-intercept of 4 when c = -2.

The x-intercepts of a function are the values of x when y = 0.

In this problem, the function is:

cx - 5y + 8 = 0.

When y = 0, we have that:

cx + 8 = 0

x = 4, hence:

4c = -8

c = -2.

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Answer:

To calculate the new sample mean and standard deviation after adding 5 to each mark, we simply add 5 to each mark and then recalculate the mean and standard deviation:

Original marks: 25, 26, 13, 23, 23, 25, 17, 22, 17, 19, 12, 26, 30, 30, 18, 14, 12, 26, 17, 18

New marks: 30, 31, 18, 28, 28, 30, 22, 27, 22, 24, 17, 31, 35, 35, 23, 19, 17, 31, 22, 23

New sample mean = (30 + 31 + 18 + 28 + 28 + 30 + 22 + 27 + 22 + 24 + 17 + 31 + 35 + 35 + 23 + 19 + 17 + 31 + 22 + 23) / 20

= 25.65

New sample standard deviation = sqrt[((30-25.65)^2 + (31-25.65)^2 + (18-25.65)^2 + ... + (23-25.65)^2)/19]

= 10.71

Therefore, the answer is option B: 25.65, 10.71.

Answer:

option (C): 25.65, 5.71.

Step-by-step explanation:

To find the new sample mean and standard deviation after adding 5 marks to each student's mark, we can use the following formulas:

New sample mean = Old sample mean + 5

New sample standard deviation = Old sample standard deviation

Using the given values, the old sample mean is 20.65, so the new sample mean is:

New sample mean = 20.65 + 5 = 25.65

To find the new sample standard deviation, we simply use the given value of 5.71:

New sample standard deviation = 5.71

Therefore, the answer is option (C): 25.65, 5.71.

The probability of selecting a girl and a boy for the class committee can be calculated by considering the total number of outcomes and the number of favorable outcomes.

Identify the number of girls and boys in the class. In this case, there are 5 girls and 7 boys.

Determine the total number of students in the class. That is 5 + 7 = 12.

Determine the number of ways to select two students from the class.

Here we can use the combination formula, which is written as C(n, r), where n is the total number of items and r is the number of items to be chosen.

In our case, n = 12 (total number of students) and r = 2 (number of students to be selected).

C(12, 2) = 12! / (2!(12-2)!) = 66.

Determine the number of favorable outcomes.

In this case, we want to select one girl and one boy. We multiply the number of girls by the number of boys: 5 x 7 = 35.

To find the probability, we divide the number of favorable outcomes (35) by the total number of outcomes (66):

Probability = Number of favorable outcomes / Total number of outcomes = 35 / 66 = 5/6.

So, the probability of selecting a girl and a boy for the class committee is 5/6.

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Answer:

the answer is pythagoras thorium

Answer:

7 schools have fewer than 50 classrooms.

The maximum amount you can finance is $896.

We are given that;

The monthly gross income = $3,200

Now,

28% of your gross monthly income on your mortgage, including taxes and insurance

The percentage = 28%

3200* 28/100

=32*28

=896

Therefore, by percentage the answer will be $896.

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