HELP! NEED ANSWERS FAST

Answer:

62.25

Step-by-step explanation:

Rectangle Area Formula: A=l•w

7.5•5=37.5

=hbb/2=7.5·4.2/2=15.75

=hbb/2=7.5·2.4/2=

Add all three =62.25

Transactions are larger than others Bank B may be the cheaper option even if you make more than 35 transactions.

To compare the cost of using Bank A and Bank B need to consider the total cost based on the number of transactions.

Let's say you make x transactions in a month.

For Bank A the monthly cost is a fixed fee of $45 regardless of the number of transactions.

For Bank B the monthly cost is a fee of $20 plus $0.70 for each transaction.

So the total cost for Bank B is:

Total cost = $20 + $0.70x

The break-even point where the total cost of Bank A and Bank B are equal need to solve the following equation:

45 = 20 + 0.70x

Subtracting 20 from both sides, we get:

25 = 0.70x

Dividing both sides by 0.70, we get:

x = 35.71

If you make more than 35 transactions in a month Bank A is the cheaper option.

If you make fewer than 35 transactions Bank B is the cheaper option.

Analysis assumes that all transactions are of the same amount.

To compare the total cost of both banks based on the actual amounts of the transactions.

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From the calculation, she can't carry all but she can carry her suitcase with clothes in it and three out of the four gift items.

We know that we have to consider the restriction that the airline has placed. We have been told that the luggage that have to be packed in this case would have to be less than 22.7 kg.

We would now have to look at all the things that Haley would need to pack so as to determine what can be packed and what can not be packed.

Total luggage  that she has to pack;

Mass of empty suitcase + mass of her clothes + mass of 4 gifts

Total luggage = 5.1 Kg + 14.8 Kg + 4(0.87) = 23.38 Kg

This implies that she can't carry all but she can carry her suitcase with clothes in it and three out of the four gift items.

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Answer: (5x+6)(x+4)

Step-by-step explanation:

5x^2 + 26x + 24

5x^2 + 20x + 6x + 24

(5x^2 + 20x) + (6x + 24)

5x(x + 4) + 6(x + 4)

5x(x + 4) + 6(x + 4)

(5x + 6)(x + 4)

The area of a right triangle is 70 yds².

We have,

Base= 17 yards

Height = 8 yards

The area of a triangle is given by the formula:

Area = (1/2) x base x height

Substituting the given values, we get:

Area = (1/2) x 17 x 8

Area = 68 square yards

Therefore, the area of a right triangle is 70 yds².

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A) Yes, (x+2) is a factor of the function, because the remainder is zero.

B) All the factor are,

⇒ (x + 2) (x² - 5x + 3)

C) All the zeroes are,

x = - 2

x = (5 ± √13)/2

Given that;

Function is,

⇒ f (x) = x³ - 3x² - 7x + 6

Now, We can check (x + 2) is a factor of function or not as;

If x + 2 is a factor of function, then x = - 2 is satisfy the function.

So, Put x = - 2;

⇒ f (x) = x³ - 3x² - 7x + 6

⇒ f (- 2) = (- 2)³ - 3 (- 2)² - 7 (- 2) + 6

⇒ f (- 2) = - 8 - 12 + 14 + 6

⇒ f (- 2) = 0

Thus, (x + 2) is a factor of the function,

Hence, We can find all the zeroes as;

(x + 2) ) x³ - 3x² - 7x + 6 (x² - 5x + 3

          x³ + 2x²

         ------------

              - 5x² - 7x

              - 5x² - 10x

              ----------------

                       3x + 6

                       3x + 6

                      ------------

                              0

Thus, We get;

⇒ x³ - 3x² - 7x + 6

⇒ (x + 2) (x² - 5x + 3)

Since, x² - 5x + 3 = 0

x = - (- 5) ± √(- 5)² - 4×1×3 / (2×1)

x = (5 ± √25 - 12) / 2

x = (5 ± √13)/2

Thus,

A) Yes, (x+2) is a factor of the function, because the remainder is zero.

B) All the factor are,

⇒ (x + 2) (x² - 5x + 3)

C) All the zeroes are,

x = - 2

x = (5 ± √13)/2

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Answer:

1.91

Step-by-step explanation:

12+4.67+1.42=18.09

20-18.09=1.91

Answer:

Exact form: 2.5185185185185

Simplified form: 2.52

Fraction form: 63/25

Step-by-step explanation:

Melissa will drink 7/32 gallons more water than Holden after hiking 14 miles.

Holden drinks 1/8 gallon of water every 2 miles, so after hiking 14 miles, he would have drank (14/2) * (1/8) = 7/16 gallons of water.

Melissa drinks 3/8 gallon of water every 2 miles, so after hiking 14 miles, she would have drank (14/2) * (3/8) = 21/32 gallons of water.

The difference in the amount of water they drink is:

21/32 - 7/16 = 21/32 - 14/32 = 7/32 gallons

Therefore, Melissa will drink 7/32 gallons more water than Holden after hiking 14 miles.

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The surface area of the cylinder is 603.19 square meters

From the question, we have the following parameters that can be used in our computation:

Radius, r = 8 meters

Height, h = 4 meters

Using the above as a guide, we have the following:

Surface area = 2πr(r + h)

Substitute the known values in the above equation, so, we have the following representation

Surface area = 2π * 8 * (8 + 4)

Evaluate

Surface area = 603.19

Hence, the surface area is 603.19 square meters

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Yes, Both diagonal are equal in length with √ 80 units.

We have to given that;

The coordinates of rectangle PQRS are P(1, 6), Q(1, 2), R(9, 2), and S(9, 6).

Hence, The length of diagonal are PR and QS.

Since, We know that;

The distance between two points (x₁ , y₁) and (x₂, y₂) is,

⇒ d = √ (x₂ - x₁)² + (y₂ - y₁)²

Hence, Length of PR is,

PR = √ (x₂ - x₁)² + (y₂ - y₁)²

PR = √ (9 - 1)² + (2 - 6)²

PR = √ 64 + 16

PR = √ 80

And, Lenght of QS is,

QS = √ (x₂ - x₁)² + (y₂ - y₁)²

QS = √ (9 - 1)² + (2 - 6)²

QS = √ 64 + 16

QS = √ 80

Thus, Both diagonal are equal in length with √ 80 units.

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The sine of an angle 0 in the third quadrant is -0.5. So the value of cos∅ is -√(3)/2.

In the third quadrant, both sine and cosine are negative. We know that the sine of ∅ is -0.5, so we can use the Pythagorean identity to find the cosine of ∅:

sin²(∅) + cos²(∅) = 1

Substituting -0.5 for sin(∅), we get:

(-0.5)² + cos²(∅) = 1

Simplifying:

0.25 + cos²(∅) = 1

cos²(∅) = 1 - 0.25

cos²(∅) = 0.75

Taking the square root of both sides:

cos(∅) = ±√(0.75)

Since we're in the third quadrant where cosine is negative, we take the negative square root:

cos(∅) = -√(0.75)

Simplifying the square root:

cos(∅) = -√(3/4)

cos(∅) = -√(3)/2

Therefore, the value of cos(∅) is -√(3)/2.

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Answer:

Step-by-step explanation:

Let’s define the number of rides that Zeek can ride as “r”.

To determine how many rides Zeek can ride, we need to first subtract the cost of admission from his total budget:

$30 - $13 = $17

This means that Zeek has $17 left to spend on rides. Since each ride costs $2, we can set up the following equation:

$2r = $17

To solve for “r”, we divide both sides of the equation by $2:

r = $8.50

So Zeek can ride a maximum of 8 rides with the $17 he has left after paying for admission. However, since he cannot ride a fraction of a ride, he may be limited to only 8 rides or fewer.

The actual distance from A to the mid-point of BC is 42 m.

The actual distance from B to the mid-point of AC is 27 m.

A scale of 1 cm to 10 m can draw the triangular field ABC as follows:

        C

       / \

85 /   \ 90

    /      \

  A-------B

     30

Here, we draw AB as a horizontal line segment of length 9 cm (since AB is 90 m and the scale is 1 cm to 10 m), BC as a vertical line segment of length 3 cm (since BC is 30 m and the scale is 1 cm to 10 m) and AC as the hypotenuse of a right triangle with legs of length 8.5 cm and 9 cm (since AC is 85 m and AB is 90 m).

We can use a ruler to measure the actual distances from A to the mid-point of BC and from B to the mid-point of AC on the scale drawing.

The actual distance from A to the mid-point of BC, we first locate the mid-point of BC on the scale drawing is at a distance of 1.5 cm from B.

Then, we measure the distance from A to the mid-point of BC on the scale drawing is approximately 4.2 cm.

The scale of 1 cm to 10 m, we can convert this to the actual distance:

Actual distance = 4.2 cm × 10 m/cm

= 42 m

The actual distance from B to the mid-point of AC first locate the mid-point of AC on the scale drawing is at a distance of 4.25 cm from A.

Then, we measure the distance from B to the mid-point of AC on the scale drawing is approximately 2.7 cm.

Using the scale of 1 cm to 10 m, we can convert this to the actual distance:

Actual distance = 2.7 cm × 10 m/cm

= 27 m

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The required heat energy required to boil 75.25 g of ethanol is 62.1835 kJ.

The heat energy required to boil a substance can be calculated using the formula:

Q = m × Hv

where Q is the heat energy, m is the mass of the substance, and Hv is the heat of vaporization. From the given, we have m = 75.25 g and Hv = 0.826 kJ/g

Substituting the given values, we get:

Q = 75.25 g × 0.826 kJ/g

Q = 62.1835 kJ

Where kJ (kilojoule) is the unit of heat.

Therefore, the heat energy required to boil 75.25 g of ethanol is 62.1835 kJ.

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In the graph, the closing price per share of stock for a company is represented each day for 28 days. After analyzing the graph, the variable which is represented on the horizontal axis is days and the stock price generally increasing in the first week. The closing price of the stock decrease for at least 3 days in a row during day 7 to day 10.

The graph represents the closing price per share of stock for a company each day for 28 days. That's the number of days in the first week. So days is the variable represented in the horizontal axis.

In the first seven days, the graph is basically going up, and then it gets slower and then it's going up. So it's increasing the entire time. Not at the same rate, but it's increasing.

From day 7 to day 10, the closing price of the stock was decreasing three days in a row.

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The absolute value function y = |x| looks like a "V" shape, with the vertex at the origin and the arms going off to positive and negative infinity. To shrink this function vertically by a factor of 2/9, we can multiply the entire function by 2/9:

y = (2/9)|x|

This new function has the same "V" shape, but the y-values are only two-ninths as large as they would be for the original function at any given value of x. The vertex of the new function is still at the origin, and the arms still go off to positive and negative infinity.

Answer:

220 in.²

Step-by-step explanation:

top face - rectangle: A = LW = 4 in. × 2 in. = 8 in.²

bottom face - rectangle: A = LW = 9 in. × 2 in. = 18 in.²

left face - rectangle: A = LW = 12 in. × 2 in. = 24 in.²

right upper face - rectangle: A = LW = 8 in. × 2 in. = 16 in.²

right lower face - rectangle: A = LW = 4 in. × 2 in. = 8 in.²

middle horizontal face - rectangle: A = LW = (9 - 4) in. × 2 in. = 10 in.²

front L-shaped face - 2 rectangles: A = (12 × 4 + 5 × 4) in.² = 68 in.²

back L-shaped face - same as front L-shaped face: A = 68 in.²

total surface area = (8 + 18 + 24 + 16 + 8 + 10 + 68 + 68) in.²

total surface area = 220 in.²

Answer:

16/40 = 40%

Step-by-step explanation:

I divided 16/40 and got 0.4,

To turn a decimal into a percentage, either multiply by 100 or move the decimal to the right 2 times.

The equation of the circle is (x + 6)² + (y - 1)² = 7² and it's center is (-6, 1)

The standard equation of a circle is given by:

(x - h)² + (y - k)² = r²

Where (h,k) is the coordinates of center of the circle and r is the radius.

In the given problem, the equation is;

x² + y² + 12x - 2y - 12 = 0

This can be rewritten as;

(x + 6)² + (y - 1)² = 7²

The center of the circle is (-6, 1)  from the coordinates (h, k) of the equation of the circle.

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The statement that the [tex]x^ky^{n-k}[/tex] in the expansion of ( x + y )ⁿ equals [tex]\binom{k}{n}[/tex] is False.

The coefficient of the term [tex]x^ky^{n-k}[/tex] in the expansion of ( x + y )ⁿ  is given by the binomial coefficient C ( n, k ), not C ( k, n ) . It should therefore be written as C ( n, k ), not C ( k, n ).

Stated alternatively, the quantity in question is the combination of k items selected from a pool of n items, rather than the inverse arrangement. As a result, the accurate binomial coefficient has been determined such that:

C ( n, k ) = n! / [ k! ( n - k ) ! ], where " ! " denotes the factorial function.

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The question is:

The coefficient of [tex]x^ky^{n-k}[/tex] in the expansion of ( x + y )ⁿ equals [tex]\binom{k}{n}[/tex]

True

False.

Answer:

Yes, .023 is a rational number.

Step-by-step explanation:

A rational number is defined as any number that can be expressed as a ratio of two integers, where the denominator is not zero.

To show that .023 is a rational number, we can express it as a fraction in which the numerator and denominator are integers.

We can write:

.023 = 23/1000

Both the numerator (23) and denominator (1000) are integers, so .023 is a rational number.

Answer:

20 times

Step-by-step explanation:

There are 5 color options that are all the same size.

So orange = 1/5.

(1/5) * 100 = 20 times

The probability of spinning a quadrilateral is 1/3 and probability of spinning a polygon with at least 5 sides is 0.5

Probability is a measure of the likelihood of an event to occur.

The probability formula is defined as the possibility of an event to happen is equal to the ratio of the number of favorable outcomes and the total number of outcomes.

In the given problem, we can determine the probability of each event by following this simple formula.

a. The probability of spinning a quadrilateral.

P(quadrilateral) = 2 / 6 = 1/3

NB: A quadrilateral is any figure or shape with four sides.

b. The probability of a polygon with at least 5 sides.

P(polygon > 5 sides) = 3/6 = 1/2

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The mean monthly income is $3300, the median monthly income is $3000, there is no mode, and the range of the monthly income is $3000.

To find the mean, median, mode, and range of the monthly incomes, we'll perform the following calculations:

Mean:

The mean is calculated by summing all the values and dividing by the total number of values.

Mean = (2000 + 2500 + 3000 + 4000 + 5000) / 5

Mean = 16500 / 5

Mean = 3300

The mean monthly income is $3300.

Median:

The median is the middle value when the data is arranged in ascending order. In this case, since we have an odd number of values, the median is the middle value.

Arranging the incomes in ascending order: $2000, $2500, $3000, $4000, $5000

The median monthly income is $3000.

Mode:

The mode is the value(s) that appear most frequently in the data. In this case, there is no value that appears more than once, so there is no mode.

The data has no mode.

Range:

The range is calculated by subtracting the minimum value from the maximum value.

Range = Maximum Value - Minimum Value

Range = $5000 - $2000

Range = $3000

The range of the monthly income is $3000.

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The complete question is as follows:

Mean, Fractiles, median, and mode are called the measures of central tendency. A group of friends recorded their monthly incomes in dollars. The incomes are as follows: $2000, $2500, $3000, $4000, $5000. Determine the mean, median, mode, and range of their monthly incomes.

Answer:

$690

Step-by-step explanation:

To find the interest earned in three years, we can use the interest formula

Interest = Principal x Rate x Time

- Principal = $600 (the amount John deposited)

- Rate = 5% per year (as a decimal, this is 0.05)

- Time = 3 years

Interest = $600 x 0.05 x 3 = $90

Therefore, John will earn $90 in interest over 3 years.

To find his account balance, including interest, after 3 years, we can simply add the interest earned to the original principal:

Account balance = Principal + Interest

Account balance = $600 + $90 = $690

Therefore, John's account balance, including interest, after 3 years will be $690.

Answer:

Simple interest: 690, compound interest: 694.5

Step-by-step explanation:

Simple interest  = PRT/100 = 600*5*3/100 = 90 = 600+90 = 690

compound interest = P(1+r/100)^n = 600(1+5/100)^3 = 694.5

Your answer depends on if its simple or compound interest if not said so either of the answers I have given to you is right :)