Will give, Branliest.​

The amount of money Wally and Drake have left to save is equal to $29.96 if each one of them wanted to buy a telescope.

The amount of money left to be saved can be calculated by using an algebraic expression.

First, we determine the cost of two telescopes if each one of them wanted to buy a telescope to see the moons of Jupiter.

As the cost of one telescope is $62.48, the cost of two telescopes will be;

62.48 + 62.48 = 124.96

An algebraic expression can be given as;

95 + x = 124.96

where x is the money left to be saved.

Solving for x;

x = 124.96 - 95

x = 29.96

Hence, $29.96 is the amount left to be saved for each one of them to buy a microscope.

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Answer:

\(\frac{79}{100}\)

Step-by-step explanation:

Question:

Write as a fraction in lowest terms:

Answer:

a = 79

b = 99

Country B is more efficient than Country A when it comes to producing cars and tanks.

Country A takes twice as long to produce a car (30 minutes) than Country B (12 minutes). However, Country A takes 20 minutes to produce a tank while Country B takes 10 minutes, cutting the amount of time in half.

We can measure the efficiency of each country by calculating the number of cars and tanks each country can produce in an hour. We can do this using the following formula:

Cars per hour = (60 minutes/minutes to produce car)

Tanks per hour = (60 minutes/minutes to produce tank)

For Country A, the number of cars produced in an hour is (60 minutes/30 minutes) = 2 cars per hour and the number of tanks produced in an hour is (60 minutes/20 minutes) = 3 tanks per hour.

For Country B, the number of cars produced in an hour is (60 minutes/12 minutes) = 5 cars per hour and the number of tanks produced in an hour is (60 minutes/10 minutes) = 6 tanks per hour.

Therefore, Country B is more efficient than Country A when it comes to producing cars and tanks.

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Carl deposited 10,000 into the savings account.

We can use the formula for compound interest to solve this problem:

\(A = P(1 + r/n)^{(nt)}\)

Where:

A = the final amount

P = the initial principal (what Carl deposited)

r = the annual interest rate (8%)

n = the number of times interest is compounded per year (2 for semiannual compounding)

t = the number of years (1)

Plugging in the given values and solving for P:

\(10,816 = P(1 + 0.08/2)^{(2\times 1)}\)

\(10,816 = P(1.04)^2\)

10,816 = 1.0816P

P = 10,000

Therefore, Carl deposited 10,000 into the savings account.

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(a) If x = a, then the slope of the tangent at that point is: m = 8a - 6a^2

(b) The equation of the tangent line at (1, 6) is: y - 6 = 2(x - 1) or y = 2x + 4

(c) The equation of the tangent line at (2, 4) is: y - 4 = -16(x - 2) or y = -16x + 36

(a)

To find the slope of the tangent at the point where x = a:

For the given curve, the derivative is: y' = 8x - 6x^2

(b)

To find the equation of the tangent line at the point (1, 6):

If x = 1, then the slope of the tangent is: m = 8(1) - 6(1)^2 = 2

Using the point-slope form, the equation of the tangent line at (1, 6) is: y - 6 = 2(x - 1) or y = 2x + 4

c) To find the equation of the tangent line at the point (2, 4):

If x = 2, then the slope of the tangent is: m = 8(2) - 6(2)^2 = -16

Using the point-slope form, the equation of the tangent line at (2, 4) is: y - 4 = -16(x - 2) or y = -16x + 36

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False.

The statement is incorrect because neither the z nor the t distribution is necessarily skewed symmetric. While they are both bell-shaped and have asymptotic tails, the shape of the distribution depends on the degrees of freedom for the t distribution and the mean and standard deviation for the z distribution.

The z and t distributions share several properties, which include:

1. Skewed: Both distributions are not skewed, as they are symmetric around 0.
2. Symmetric around 0: Both the z (standard normal) and t distributions are symmetric around 0, which means that they have equal probability on both sides of 0.
3. Asymptotic tails: Both distributions have asymptotic tails, which means that the tails of the distributions approach but never touch the horizontal axis.
4. Bell-shaped: Both the z and t distributions are bell-shaped, with a peak at the center (0) and tails extending to the left and right.

So, the correct properties for both z and t distributions are: symmetric around 0, asymptotic tails, and bell-shaped.

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We may use vector addition to calculate the distance between the boat and the marina. We'll divide the boat's motion into north-south and east-west components.

For the first leg of the journey:

Course: S62°W

Speed: 6 knots

Time: 20 minutes (or \(\frac{20}{60} = \frac{1}{3}\) hours)

The north-south component of the boat's movement is:

-6 knots * sin(62°) * 1.5 hours = -0.81 nautical miles

The east-west component of the boat's movement is:

-6 knots * cos(62°) * 1.5 hours = -3.13 nautical miles

For the second leg of the journey:

Course: S30°W

Speed: 4 knots

Time: 1.5 hours

The north-south component of the boat's movement is:

-4 knots * sin(30°) * 1.5 hours = -3 nautical miles

The east-west component of the boat's movement is:

-4 knots * cos(30°) * 1.5 hours = -6 nautical miles

To find the total north-south and east-west displacement, we add up the components:

Total north-south displacement = -0.81 - 3 = -3.81 nautical miles

Total east-west displacement = -3.13 - 6 = -9.13 nautical miles

Using the Pythagorean theorem, the distance from the marina is:

\(\sqrt{ ((-3.81)^2 + (-9.13)^2) }=9.98\)

≈ 9.98 nautical miles

The direction or course the boat should follow for its return trip to the marina is the opposite of its initial course. Therefore, the return course would be N62°E.

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Answer:

Step-by-step explanation:

224-146=78

Answer:

1. 4:3

2. 5:7

3. 9:4

4. 3:5

5. 7:12

Step-by-step explanation:

I'm sure you don't care how to get the answers, you just want them :)

Answer:

depending on the size of graph

Answer:

The expression equivalent are..

3x+y+2x+2+7y

Step-by-step explanation:

here we want to add the variables of the same in this case

3x    1y    

2x     7y   2

__________

5x      8y      2

All the expressions that are equivalent to 5x + 8y + 2 are;

A). 5x + 8y + 2.

B). 5x +y + 4.

C). 5x + 8y + 2

D). 5x + 8y + 2.

Expressions that are equivalent to the same thing, even when they have distinct appearances. When we enter the same value(s) for the variable, two algebraic expressions that are equivalent have the same value (s).

Given:

Four equivalent expressions,

A). 3x + y + 2x + 2 + 7y

B). 8x + 4y – 3x + 4 – 3y

C). 2 +12y + x – 4y + 5x

D). 5y + 7 + x – 5 + 4x + 3y

Simplifying,

A). 5x + 8y + 2.

B). 5x +y + 4.

C). 5x + 8y + 2

D). 5x + 8y + 2.

Therefore, A, C, and D are the equivalent expressions.

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Step-by-step explanation:

number 1 is 68 degrees Fahrenheit and number 2 is 98.6=37 degrees Celsius and 102 fahrenheit is higher than the normal

The ratio of the circumferences of the two circles is approximately 1:1 means they have the same circumference.

The ratio of the circumferences of two circles is equal to the square root of the ratio of their areas.

Let's find the radius of each circle using their areas:

Area of first circle = 67 m²

Area of second circle = 150 m²

We know that the area of a circle is given by the formula A = πr² A is the area and r is the radius.

For the first circle:

67 = πr₁²

=> r₁² = 67/π

=> r₁ = √(67/π)

The second circle:

150 = πr₂²

=> r₂² = 150/π

=> r₂ = √(150/π)

Let's find the ratio of their circumferences:

Ratio of circumferences = √(area of first circle / area of second circle)

Ratio of circumferences = √(67/150)

Ratio of circumferences = √(0.4467)

Simplifying this ratio, we get:

Ratio of circumferences = 0.668

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Therefore, the degree of the resulting polynomial is m + n when two polynomials of degree m and n are multiplied together.

What is polynomial?

A polynomial is a mathematical expression consisting of variables and coefficients, which involves only the operations of addition, subtraction, multiplication, and non-negative integer exponents. Polynomials can have one or more variables and can be of different degrees, which is the highest power of the variable in the polynomial.

Here,

When two polynomials are multiplied, the degree of the resulting polynomial is the sum of the degrees of the original polynomials. In other words, if the degree of the first polynomial is m and the degree of the second polynomial is n, then the degree of their product is m + n.

This can be understood by looking at the product of two terms in each polynomial. Each term in the first polynomial will multiply each term in the second polynomial, so the degree of the resulting term will be the sum of the degrees of the two terms. Since each term in each polynomial has a degree equal to the degree of the polynomial itself, the degree of the resulting term will be the sum of the degrees of the two polynomials, which is m + n.

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Answer:

Step-by-step explanation:

Let's say for the sake of argument that this pizza is cut into 18 slices. That means, according to the problem, that each slice has 1/6 oz of cheese on it.

\(\frac{1}{6}*18=3\) ounces of cheese for the whole pizza.

An ice cream shop has 10 flavors and one can choose 4 different flavors. The question asks for the total number of possible flavor combinations.Therefore, we need to find the number of ways in which 4 flavors can be chosen from 10 flavors.

In such cases where order does not matter and repetitions are not allowed, we can use the formula for combinations which is as follows:C(n, r) = n! / (r! (n - r)!)Where n is the total number of items, r is the number of items being chosen at a time and ! represents the factorial function.

Using this formula we can find the total number of possible flavor combinations. Substituting the values in the above formula, we get:C(10, 4) = 10! / (4! (10 - 4)!)C(10, 4) = (10 * 9 * 8 * 7) / (4 * 3 * 2 * 1)C(10, 4) = 210Hence, there are 210 possible flavor combinations when one can choose 4 different flavors

.Explanation:The formula to be used for this type of question is combination. Combination is the method of selecting objects from a set, typically without replacement (without putting the same item back into the set) and where order does not matter. The formula for combination is given by C(n,r)=n!/(r!(n-r)!).

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Answer:

Cary is wrong

Step-by-step explanation:

4* (6-4)= 4* 2=8

I think it is saying (8*2) divided by to, which in that case is 8,

but if it is asking 8 (2/2) then that would also be 8 I believe. I really hope this is correct and you have a great day :)

Answer:

Cary is inncorrect. It is 4.

Answer:

48 1/8s

Step-by-step explanation:

a whole is 8/8 so u multiply 8 by 16 to get 48

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The difference in percentage of youngest and oldest age groups is 15.4%

Start by calculating the total number of people, as follows

People = 102 + 36 + 66 + 150 + 78 + 60 + 90 + 11 + 9

Evaluate

People = 602

The number of people in the age group 11 to 20 is:

Group = 36

So, the percentage is

Percentage = 36/602

Percentage = 6.0%

Hence, the percentage from 11 to 20 is 6.0%

The number of people in the age group 31 to 40 is:

Group = 150

So, the percentage is

Percentage = 150/602

Percentage = 24.9%

Hence, the percentage from 31 to 40 is 24.9%

The number of people in the age group 71 to 80 is:

Group = 11

So, the percentage is

Percentage = 11/602

Percentage = 1.8%

Hence, the percentage from 71 to 80 is 1.8%

This is the percentage of age group 81 to 90

And, the percentage is

Percentage = 9/602

Percentage = 1.5%

Hence, the lowest percentage on the chart is 5%

The number of people in the age group 31 to 70 is:

Group = 60 + 90 = 15-

So, the percentage is

Percentage = 150/602

Percentage = 24.9%

Hence, the percentage from 51 to 60 and 61 - 70 combined is 24.9%

The youngest is 0 to 10 and the oldest is 81 to 90.

The number of people in these age groups are:

Youngest = 102

Oldest = 9

The difference is

Difference = 102 - 9

Difference = 93

So, the percentage is

Percentage = 93/602

Percentage = 15.4%

Hence, the difference in percentage of youngest and oldest is 15.4%

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Answer:

1 hour after 2 weeks

Step-by-step explanation:

She rides 3 days a week, and 10 minutes a day. Multiplying 3 and 10 gets you 30 minutes a week. Over a 2 week period, that is 60 minutes (1 hour)

Answer:

140 mins

Step-by-step explanation:

add 70+20

Answer:

x<25

Step-by-step explanation:

Johnny cannot work more than 25 hours each week that implies that the inequality sign cannot be an equal to. I do not know if there is an option where x is less than 25, but if there is that would be the answer.

Answer:

900

Step-by-step explanation:

916

1 is less than 5, so it rounds up to 900

Answer:

Distribute 1.2 to 6.3 and -7x

Combine 3.5 and 7.56

suhtract 11.06 from both sides

Answer:

156.6 square yards

Step-by-step explanation:

To find the surface area of the pyramid, find the area of each surface and add them together.

formula for area of a triangle = 1/2(b·h)

1. There are three triangles with a base of 9 and a height of 9

1/2(9·9) = 40.5

Multiply by the three triangles

40.5 · 3 = 121.5

2. There is one triangle with a base of 9 and a height of 7.8

1/2(9·7.8) = 35.1

3. Add the areas of all surfaces

121.5 + 35.1 = 156.6

The system of linear equations represented in the graph has one solution.

Linear equations are equations that involve a single variable and can be written in the form ax + b = 0, where a and b are constants, and x is a variable. Linear equations are often used to describe physical processes and are used to solve many real-world problems. They can be used to solve for velocity, distance, time, force, and more.

The line that passes through the points (0,2) and (2,1) is a linear equation, which means that any two points on the line will define a single, unique line. Therefore, the only solution to the equation is the point of intersection of the two points, (1,1.5). This point is the only solution to the system of linear equations represented in the graph.

It is important to note that the linear equation in the graph is not a two-variable equation, but rather a one-variable equation. A two-variable equation would have two lines, which would result in two solutions. However, because only one line is present in the graph, the system of linear equations represented has one solution only.

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The length of the required fence to make a square field that encloses = 5.66 km

For given question,

A farmer wants to make a square field that encloses exactly 2km² of area.

Let 'm' be the side length of the square field.

so, the area of the square field would be,

⇒ A = m²

⇒ 2 = m²

⇒ m = √2 km

We need to compute the length of the required fence.

The length of the required fence would be,

= perimeter of the square field

= 4 × m

= 4 × √2

= 5.66 km

Therefore, the length of the required fence to make a square field that encloses = 5.66 km

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