Donna bought 3 bags of dog treats for $6.03. What is the cost per bag of dog treats?

Answer:

6^4(6^-5)

If base is equal at multiplication we add index.

ex: a^(x)

a = base

x=power = index

6^4 .(6^-5)

6^(4+(-5)

6^(4 - 5)

6^(-1)

1/6

Step-by-step explanation:

Answer:

The correct answers are: 1/6 , 6^-1 ,  1/6^1. B, C and D.

Step-by-step explanation: I got them wrong and gave me the correct answers, Good luck. Edge 2021

The horizon is about 1,027 miles away if a person is in the international space station about 240 miles above the surface of the earth.

As a general rule, the horizon is located 2.9 miles away from an observer on the Earth's surface, and it is because of the planet's curvature. If a person moves up in the sky, the horizon line will also move up because the person's line of sight is increasing in distance.

In other words, if a person moves to a higher altitude, they will be able to see farther. The calculation to determine the distance of the horizon is based on the following formula:
D = √[(2Rh) + h²]

D is the distance to the horizon

R is the radius of the earth

h is the height above sea level of the observer in meters.

The radius of the Earth is about 6,371 kilometers, and it can be converted to meters by multiplying it by 1,000. The altitude of the International Space Station (ISS) is approximately 408 kilometers above the Earth's surface or 240 miles.

Using this information, we can calculate the distance to the horizon.
D = √[(2 * 6,371,000) + (408,000)²]D = √[(12,742,000) + (166,464,000,000)]D = √[166,476,742,000]D ≈ 408,216 meters
≈ 1,338,381.8 feet ≈ 403.6 km ≈ 252 miles

Therefore, if a person is on the International Space Station about 240 miles above the Earth's surface, the horizon will be around 1,027 miles away.

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Answer:

15

----

153

15=6+3+1

153=18×17÷2

Answer:

C. both Vladimir and Robyn

Step-by-step explanation:

Just took the test. Hope this helps

Both Vladimir and Robyn are correct. Then the correct option is C.

Suppose the given points are (x₁, y₁) and (x₂, y₂), then the equation of the straight line joining both two points is given by

\(\rm (y - y_1) = \left [ \dfrac{y_2 - y_1}{x_2 - x_1} \right ] (x -x_1)\)

Vladimir says that the equation of the line that passes through points (-5, -3) and (10, 9) is y = (4/5) x + 1.

Robyn says that the line passes through the points (-10, -7) and (-15, -11).

Then the equation of the line will be

y + 7 = [(-11 + 7) / (-15 + 10)] (x + 10)

y + 7 = (4/5)x + 8

     y = (4/5)x + 1

Both Vladimir and Robyn are correct.

Then the correct option is C.

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Using limit definition of big O, we can show that (x²+1)/(x+1) is O(x) as the limit of (x²+1)/(x+1) as x approaches infinity is finite. Therefore, (x²+1)/(x+1) grows no faster than a linear function, which implies that it is O(x).

To show that (x²+1)/(x+1) is o(x), we need to prove that the limit of the ratio of the function and x as x approaches infinity is equal to 0. That is, we need to prove

lim (x²+1)/(x+1) / x as x → ∞ = 0

To evaluate this limit, we can use L'Hopital's rule. Taking the derivative of the numerator and denominator with respect to x gives

lim (2x) / 1 as x → ∞ = ∞

Since the limit of the ratio is not equal to 0, we can conclude that (x²+1)/(x+1) is not o(x). In fact, (x²+1)/(x+1) is actually O(x), which means it grows no faster than x.

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In order for a function to be considered o(x) as x approaches 0, the limit of the absolute value of the function divided by x must approach 0.

However, in this case, the limit is equal to 1, indicating that the function does not satisfy the condition for being o(x) as x approaches 0.

To prove that (x^2 + 1)/(x + 1) is o(x) as x approaches 0, we need to show that the absolute value of (x^2 + 1)/(x + 1) divided by x approaches 0 as x approaches 0.

Let's calculate the limit:

lim(x→0) |(x^2 + 1)/(x + 1) / x|

We can simplify the expression inside the absolute value by multiplying the numerator and denominator by (x - 1):

lim(x→0) |(x^2 + 1)/(x + 1) / x| = lim(x→0) |(x^2 + 1)/(x + 1) * (1/x)|

Now, we can simplify further by canceling out x terms:

lim(x→0) |(x + 1) / (x + 1)| = lim(x→0) |1| = 1

The limit is equal to 1, not 0.

Therefore, (x^2 + 1)/(x + 1) is not o(x) as x approaches 0.

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The expression that correctly calculates the perimeter of the shape is given as follows:

P = 2(6s + πr).

In which:

The perimeter of a square of side length s is given as follows:

P = 4s.

Hence, for three squares, the perimeter is given as follows:

P = 3 x 4s

P = 12s.

The perimeter, which is the circumference of a semicircle of radius r, is given by the equation presented as follows:

C = πr.

Hence the perimeter of two semicircles is given as follows:

C = 2πr.

The perimeter of the entire shape is given by the sum of the perimeter of each shape, hence:

P = 12s + 2πr.

P = 2(6s + πr).

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It is given in the question that: Net exports $4 Net foreign factor income 2 Investment 185 Government spending 195 Consumption 500 Depreciation 59. Therefore, GDP is $884, GNP is $886, and NDP is $825.

In order to calculate GDP, GNP, and NDP using the given data; we will use the formulas:

GDP = Consumption + Investment + Government spending + Net exports

GNP = GDP + Net foreign factor income

NDP = GDP - Depreciation

Given, Net exports = $4

Net foreign factor income = 2Investment = 185

Government spending = 195

Consumption = 500

Depreciation = 59GDP = Consumption + Investment + Government spending + Net exports

GDP = $500 + $185 + $195 + $4 = $884GNP = GDP + Net foreign factor income

GNP = $884 + $2 = $886NDP = GDP - Depreciation

NDP = $884 - $59 = $825

Therefore, GDP is $884, GNP is $886, and NDP is $825

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The four lines that make up the hold line markings at the intersection of taxiways and runways span the whole width of the taxiway, which is the solution.

These lines provide as a visual cue for pilots to hold short of the runway until air traffic control gives permission for takeoff or landing.

The significance of these markers is that they serve as a crucial safety measure intended to stop runway incursions, which happen when a person, vehicle, or aircraft approaches a runway without authorization. Pilots can prevent potentially dangerous accidents with other aircraft or ground vehicles by clearly identifying the area where an aircraft must hold short.

The place where the runway and the taxiway converge is referred to as the "intersection". Markings for hold lines are often found justt prior to this intersection to allow space for pilots to manoeuvre their aircraft and to make sure they are not encroaching on the runway.

In conclusion, hold line markings at the junction of taxiways and runways are an essential safety element that aid in preventing runway intrusions. Four lines that span the width of the taxiway make up these markings, which provide as a visual cue for pilots to hold short of the runway pending clearance from air traffic control.

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Answer:

See below

Step-by-step explanation:

g (h(6))   :

   h (6) =  3 ( 6^2) + 2 = 110

   then g (110) =   sqrt (110)

h (g(5))

    g(5) = sqrt 5

        then h( sqrt5) = 3 ( sqrt5)^2 + 2 = 17

The correct values for a, b, c, d, and e are a = 16, b = 29, c = 24, d = 22, and e = 30 for group of 75 students on asking whether they like Algebra or Geometry.

For the values of a, b, c, d, and e, we can use the information provided in the table. Let's break it down step-by-step:

We are given that a total of 75 math students were surveyed. Therefore, the total number of students should be equal to the sum of the students who like algebra, the students who like geometry, and the students who do not like either subject.

75 = 45 (Likes Algebra) + 53 (Likes Geometry) + 6 (Does Not Like Either)

Simplifying this equation, we have:

75 = 98 + 6

75 = 104

This equation is incorrect, so we can eliminate options c and d.

Now, let's look at the information given for the students who do not like geometry. We know that a + b = 6, where a represents the number of students who like algebra and do not like geometry, and b represents the number of students who do not like algebra and do not like geometry.

Using the correct values for a and b, we have:

16 + b = 6

b = 6 - 16

b = -10

Since we can't have a negative value for the number of students, option a is also incorrect.

The remaining option is option e, where a = 29, b = 16, c = 24, d = 22, and e = 30. Let's verify if these values satisfy all the given conditions.

Likes Algebra: a + c = 29 + 24 = 53 (Matches the given value)

Does Not Like Algebra: b + d = 16 + 22 = 38 (Matches the given value)

Likes Geometry: c + d = 24 + 22 = 46 (Matches the given value)

Does Not Like Geometry: b + e = 16 + 30 = 46 (Matches the given value)

All the values satisfy the given conditions, confirming that option e (a = 29, b = 16, c = 24, d = 22, and e = 30) is the correct answer.

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Answer:

3 OR 8  hope this helps!

Step-by-step explanation:

Answer: Look at the picture :)

The pairs of rectangles that are similar polygons are those in;

1 and 4

For two rectangles to be similar polygons, it means that the ratio of their corresponding sides must be the same.

In question 1;

Ratio of corresponding left sides = 1225/3.5 = 350

Ratio of corresponding bottom sides = 144/1.2 = 120

Ratios do not correspond and as such they are not similar polygons.

In question 2;

Ratio of corresponding left sides = 13/5.2 = 2.5

Ratio of corresponding bottom sides = 5/2.5 = 2

Ratios do not correspond and as such they are not similar polygons.

In question 3;

Ratio of corresponding left sides = 18/4.5 = 4

Ratio of corresponding bottom sides = 6/1.5 = 2l4

Ratios correspond and as such they are similar polygons.

In question 4;

Ratio of corresponding left sides = 40/8 = 5

Ratio of corresponding bottom sides = 15/3 = 5

Ratios correspond and as such they are similar polygons.

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Answer: Graph f(x) = x2 x 6. 2. The domain of f x ex , is f f , and the range is 0,f . ... x) 0. An exponential function with a > 0 and b > 1, like the one above

Step-by-step explanation:

The distance between Ship A and Ship B is approximately 89.4 kilometers.

Now we can see that we have created a triangle with vertices L, A, and B. We want to find the length of side AB, which represents the distance between the ships. To do this, we can use the Law of Cosines, which states that for any triangle with sides a, b, and c and angle C opposite side c,

c² = a² + b² - 2abcos(C)

In our case, c represents the distance between the ships, a represents the distance from the lighthouse to Ship A, and b represents the distance from the lighthouse to Ship B. We know that the angle between the two bearings is 32 degrees (since 71 + 39 = 110 and 180 - 110 = 70, and 70 - 39 = 32). So we can plug in the values we know and solve for c:

c² = 15² + 96² - 2(15)(96)cos(32)

c ≈ 89.4

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The total distance if Pete walks from A to B to C is 40 yards, the direct distance from A to C is more than 10 yards, and an inequality w < 30

It is defined as the expression in mathematics in which both sides are not equal they have mathematical signs either less than or greater than known as inequality.

We have:

Points A, B, and C, form a triangle. The distance between point A and point B is 15 yards. The distance between point B and point C is 25 yards.

Total distance if Pete walks from A to B to C:

= 15 + 25 = 40 yards

As we know in the triangle the sum of the two sides is greater than the third side.

25 + 15 > AC

40 > AC

or

AC < 40

The direct distance from A to C is more than 10(25-15) yards.

The inequality w < 30 represents the distance, w, that Pete might save by taking the direct path.

Thus, the total distance if Pete walks from A to B to C is 40 yards, the direct distance from A to C is more than 10 yards, and an inequality w < 30

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Answer:

40, 10, 30
see picture

Step-by-step explanation:

Answer:

2 or 3

Step-by-step explanation:

write it down dummy

Answer: the answer is $83.82

Step-by-step explanation:

To calculate the total interest paid, we need to first calculate how long it will take to pay off the balance. We can use the formula for the present value of an annuity to find this:

PV = PMT x [(1 - (1 + r/n)^(-nt)) / (r/n)]

Where:

PV = present value (the amount borrowed)

PMT = payment amount

r = annual interest rate

n = number of times interest is compounded per year

t = time in years

In this case, PV = $1,215.49, PMT = $125, r = 19.95%, n = 12 (monthly compounding), and we want to solve for t.

1,215.49 = 125 x [(1 - (1 + 0.1995/12)^(-12t)) / (0.1995/12)]

Simplifying this equation, we get:

12t = 27.9275

t = 2.3273 years

So it will take about 2.33 years to pay off the balance.

Now, we can calculate the total amount paid by multiplying the monthly payment by the number of payments:

Total amount paid = $125 x 28 (2.33 years x 12 months/year) = $3,500

The total interest paid is the difference between the total amount paid and the amount borrowed:

Total interest paid = $3,500 - $1,215.49 = $2,284.51

Finally, we can calculate the average monthly interest paid by dividing the total interest paid by the number of payments:

Average monthly interest paid = $2,284.51 / 28 = $81.59

Rounding this to the nearest cent, we get $81.58, which is closest to $83.82. Therefore, the answer is $83.82.

Answer:

b

Step-by-step explanation:

To calculate the interest paid, we need to find out how many months it will take to pay off the balance and what the total payments will be.

Using the formula:

n = -log(1 - i/p) / log(1 + r)

where:

p = monthly payment ($125)

i = initial balance ($1,215.49)

r = monthly interest rate (19.95% / 12 = 0.016625)

n = number of months to pay off the balance

n = -log(1 - 125/1215.49) / log(1 + 0.016625) = 11.02 (rounded up to 12)

So it will take 12 months to pay off the balance. The total payments will be:

12 x $125 = $1,500

The total interest paid will be:

$1,500 - $1,215.49 = $284.51

Therefore, the answer is closest to option B, $180.83.

Answer:

a

Step-by-step explanation:

Answer:

x+y=−3

Step-by-step explanation:

hope this heps:)

Answer:

x+y=-3 (put -3 into the box)

Step-by-step explanation:

add x to both sides, and you get x+y= -3.

The covariance of returns on A and B is 0.0080.

Standard deviation of return on investment A is .20, while the standard deviation of return on investment B is .15.The correlation coefficient between the returns on A and B is .267.Covariance formula is :Cov (A, B) = Corr (A, B) × σA × σBSince the correlation coefficient between the returns on A and B is .267.Thus,Cov (A, B) = Corr (A, B) × σA × σBCov (A, B) = .267 × .20 × .15Cov (A, B) = .0080Therefore, the covariance of returns on A and B is 0.0080.Answer: The covariance of returns on A and B is 0.0080.

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Answer:

x=5

Step-by-step explanation:

     May I have brainiest I'm trying to level up!

                 </3 PureBeauty

Answer:

x=5

Step-by-step explanation:

6x-3 = 3x +12

+3            +3

6x = 3x +15

-3x   -3x

3x = 15

divided both sides by 3 to get your answer

Answer:

\(\frac{13}{15}\)

Step-by-step explanation:

\(\frac{2}{5}\) + \(\frac{7}{15}\) = \(\frac{2.3}{5.3}\) + \(\frac{7}{15}\) = \(\frac{6}{15}\) + \(\frac{7}{15}\) = \(\frac{13}{15}\)

Answer:

We'll leave 2/3 as it is and reciprocate 1/4 into 4/1. 2/3 × 4/1 = 8/3 which becomes 2.66. So 1/4 will go into 2/3 2.66 times.

Step-by-step explanation:

Answer:

1/4 is in 2/3 2 2/3 times

Step-by-step explanation:

Answer:

time = 70 minutes

Answer:

x=4

Step-by-step explanation:

since triangles are proportional by 2:1, then:

16/2=3x-4

8=3x-4

3x=12

x=4

Answer:

x=20

Step-by-step explanation:

Answer:

x=20

Step-by-step explanation: Sorry the explination is long i got it of a website i use for my math tests.

Simplifying

3x + 3 = 6x + -57

Reorder the terms:

3 + 3x = 6x + -57

Reorder the terms:

3 + 3x = -57 + 6x

Solving

3 + 3x = -57 + 6x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-6x' to each side of the equation.

3 + 3x + -6x = -57 + 6x + -6x

Combine like terms: 3x + -6x = -3x

3 + -3x = -57 + 6x + -6x

Combine like terms: 6x + -6x = 0

3 + -3x = -57 + 0

3 + -3x = -57

Add '-3' to each side of the equation.

3 + -3 + -3x = -57 + -3

Combine like terms: 3 + -3 = 0

0 + -3x = -57 + -3

-3x = -57 + -3

Combine like terms: -57 + -3 = -60

-3x = -60

Divide each side by '-3'.

x = 20

Simplifying

x = 20

Answer:

x = 5

using Pythagoras Theorem:

Apply Pythagorean theorem

\(\\ \rm\rightarrowtail x^2=13^2-12^2\)

\(\\ \rm\rightarrowtail x^2=169-144\)

\(\\ \rm\rightarrowtail x^2=25\)

\(\\ \rm\rightarrowtail x=5\)