HELP PLEASE
I have no idea what to do anything I try fails.

(a) Linus's score for Test 1 is 80. (b) The percentage increase in his test score from Test 2 to Test 3 is 4.3%.

(a) Let's denote Linus's score in Test 1 as "x." Since he received 12 more marks in Test 2, his score for Test 2 is "x + 12." The 15% improvement means that (x + 12) is 115% of x:

x + 12 = 1.15x

Now, we can solve for x:

12 = 0.15x

x = 12 / 0.15

x = 80

So, Linus's score in Test 1 was 80.

(b) Linus made a 4-mark improvement in Test 3, so his score was (x + 12) + 4, which is (80 + 12) + 4 = 96. To find the percentage increase from Test 2 to Test 3, we can use the formula:

Percentage increase = ((New score - Old score) / Old score) * 100

Percentage increase = ((96 - 92) / 92) * 100

Percentage increase = (4 / 92) * 100

Percentage increase ≈ 4.35

The percentage increase in his test score from Test 2 to Test 3 is approximately 4.3% (correct to 1 decimal place).

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The given values for uo and u3 are uo = 1 and u3 = 21. We can use the recurrence relation Un+2 = 2 * Un+1+1* Un to find the remaining terms:

U1 = U3 - 2U2 - 1*U0
U1 = 21 - 2U2 - 1*1
U1 = 20 - 2U2

U2 = U1 - 2U0 + 1*U0
U2 = 20 - 2U0 + 1*1
U2 = 19 - 2U0

Therefore, the first four terms are: 1, 19, -17, -53

So, the answer is: 1, 19, -17, -53.

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The average number of books bought per year by customers in the survey is approximately 4.85 books.

To find the average number of books bought per year, we need to calculate the mean of the data set. We can do this by using the formula:

Average = (Sum of all data points) / (Number of data points)

However, we do not have the actual number of data points. Instead, we have percentages. Therefore, we need to convert the percentages into actual numbers.

Out of 100 customers surveyed:

30% bought 3 books, which is equal to 30/100 x 100 = 30 customers

25% bought 5 books, which is equal to 25/100 x 100 = 25 customers

45% bought 6 books, which is equal to 45/100 x 100 = 45 customers

Now, we can calculate the average number of books bought per year using the formula mentioned earlier:

Average = (30 x 3) + (25 x 5) + (45 x 6) / (30 + 25 + 45)

Simplifying the above equation, we get:

Average = (90 + 125 + 270) / 100

Therefore, the average number of books bought per year is:

Average = 485/100

Average = 4.85 books per year (rounded to two decimal places)

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The total number of possible lock combination using the 40 possible numbers for making lock of 3 numbers is equal to 64,000.

Possible number used for lock combination are 40.

Range is 0 - 39.

Total number chosen for lock combination is equal to 3.

Since there are 40 possible numbers to choose from for each of the three positions on the combination lock.

The total number of possible combinations is equal to ,

40 x 40 x 40

= 40^3

= 64,000

Therefore, there are 64,000 possible lock combinations when choosing 3 numbers out of 40 possible numbers, assuming repeated numbers are allowed.

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We can expect  4 giant swallowtails to visit Ellie's garden.

In total, there were 96 butterfly visits (32 monarchs + 56 gulf fritillaries + 8 giant swallowtails).

Now, we can calculate the probability of a giant swallowtail visit:
Probability

= (number of giant swallowtails) / (total butterfly visits)

= 8/96

= 1/12

Given that 48 butterflies visit her garden, we can expect the number of giant swallowtails to be:
Expected giant swallowtails

= (total butterflies) × (probability of giant swallowtails)

= 48 × (1/12)

= 4

So, we can expect approximately 4 giant swallowtails to visit Ellie's garden out of the 48 butterflies.

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The percentage of plastic beads on clearance is 98.99%.

To calculate the percentage of plastic beads on clearance, you need to divide the number of plastic beads by the total number of beads and then multiply by 100 to get the percentage.

In this case, the total number of beads on clearance is the sum of plastic beads and metal beads:

In this question, you are given the number of plastic beads and metal beads on clearance, and you are asked to find the percentage of plastic beads.

To do this, you need to calculate the total number of beads on clearance by adding the number of plastic beads and the number of metal beads.

Once you have the total number of beads, you can find the percentage of plastic beads by dividing the number of plastic beads by the total number of beads.

And then multiplying by 100 to convert the answer into a percentage. This formula can be expressed as:

Percentage of plastic beads = (Number of plastic beads / Total number of beads) x 100%

Plugging in the given values, we get:

Total number of beads = 882 + 18 = 900

Percentage of plastic beads = (882 / 900) x 100% = 98.99%

So, the answer is that 98.99% of the beads on clearance are plastic.

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The percentage of the data values that are greater than 16, as shown in the box plot is: 75%.

A box plot shows how the data points of a data set are distributed, in such a way that, 25% of the data points lie below the lower quartile, % lie below the median, and 75% lie below the upper quartile.

In the box plot given, the values that are greater than 16 lie above the upper quartile, which equals about 75% of the data values.

Therefore, the percentage of the data values that are greater than 65, as shown in the box plot is: 75%.

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There were 19 teachers sitting in the school auditorium.

The question provides us with the total number of people present in the auditorium, which is 81. It also tells us that 19 of them were teachers. Therefore, the number of students present in the auditorium can be found by subtracting the number of teachers from the total number of people, which is 81 - 19 = 62.

Since the question only asks about the number of teachers present in the auditorium, the answer is simply 19. This is because the question already provides us with the information that there were 19 teachers present.

Alternatively, we can use algebra to solve the problem. Let x be the number of students present in the auditorium. Then, we can write an equation based on the total number of people in the auditorium: x + 19 = 81. Solving for x, we get x = 81 - 19 = 62. Therefore, the number of teachers present in the auditorium is 19.

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Herbert will earn $63,417 for his tenth year of work which is calculated using compound interest formula.

After graduating from college, Herbert decided to join a new company. He agreed to a salary which will increase by 4.5% each year. This means that every year, Herbert's salary will increase by 4.5% of his previous year's salary. For example, if his salary in the first year is $50,000, his salary in the second year will be $52,250, and so on.

To find out Herbert's salary for his tenth year of work, we need to use compound interest formula. The formula is:

A = P(1 + r)ⁿ

Where:
A = Final amount (salary in the tenth year)
P = Initial amount (salary in the first year)
r = Annual interest rate (4.5%)
n = Number of years (10)

Substituting the values in the formula, we get:

A = $50,000(1 + 0.045)¹⁰
A = $63,417

Therefore, Herbert will earn $63,417 for his tenth year of work. It is important to note that the increase in salary is a result of compound interest, which means that the salary growth rate accelerates over time. This is a good incentive for Herbert to stay with the company and work hard.

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The count of duration that is needed for Dr. Aghedo's money to be deposited is 22.3 years, under the condition that if interest is compounded continuously at a rate of 3. 1

The derived formula for doubling time with continuous compounding is applied to evaluate the length of time it takes to double the money in an account or investment that has continuous compounding. The formula is
Doubling time = ln 2 / r

Here,
r =annual interest rate as a decimal.

For the required case, the interest rate is 3.1% that can be written as  0.031 in the form of decimal. Then the doubling time will be
Doubling time = ln 2 / 0.031
≈ 22.3 years

Then, it should take approximately 22.3 years for Dr. Aghedo's money to double if interest is compounded continuously at a rate of 3.1%.
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The height of the building is approximately 102.3 feet, rounded to the nearest tenth.

Step 1: Draw a right triangle with Sheila's eye-height as the base, the building's height as the vertical side, and the distance between Sheila and the building as the horizontal side.

Step 2: We are given the angle of elevation (71 degrees) and the horizontal distance (33 feet). To find the vertical distance, we can use the tangent function in trigonometry. The formula is:
tan(angle) = (opposite side) / (adjacent side)

Step 3: Plug in the given values into the formula:
tan(71) = (vertical distance) / 33

Step 4: Solve for the vertical distance:
vertical distance = 33 * tan(71) ≈ 96.9 feet

Step 5: Add Sheila's eye-height to the vertical distance to find the total height of the building:
total height = eye-height + vertical distance
total height = 5.4 + 96.9 ≈ 102.3 feet

The height of the building is approximately 102.3 feet, rounded to the nearest tenth.

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Answer:

rita and john are susseful the job

js school

It would cost $735 to buy a cover for the pool at $0.30 per square foot

From the complete question (see attachment), we have the following parameters that can be used in our computation:

Unit rate = $0.30 per square foot

Dimensions = 10 inches by 20 inches

Scale = 2 inches : 7 feet

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

Total cost = Unit rate * Area of pool

Where

Area of the pool = 10 inches * 20 inches

Using the scale, we have

Area of the pool = (10 * 7/2)* (20 * 7/2) square feet

Area of the pool = 2450 square feet

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

Total cost = $0.30 per square feet * 2450 square feet

This gives

Total cost = $735

Hence, it would cost $735 to buy a cover for the pool

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Complete question

The blueprint of a pool has a scale of 2 inches equals 7 feet. The scale drawing is shown below (see attachment)

How much would it cost to buy a cover for the pool that cost $0.30 per square foot

The fraction value of 0.64 is 16/25 using the greatest common factor method to represent. There are no repeating digits in value.

The given decimal value = 0.64

There are no repeating numbers in the given decimal number 0.64.

To convert the given number into a fraction, we need to multiply the value with 10 on both sides to move the decimal point two places to the right.

0.64 × 100/100 = 64/100

Now simply this value by dividing both the numerator and denominator with the greatest common factor of both values. The greatest common factor is 4.

64/100 = 16/25

Therefore, we can represent the fraction value of 0.64 as 16/25.

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The prize wheel's area is approximately 12.56 square yards.

The area of a circle can be calculated using the formula A = πr², where A represents the area, r represents the radius, and π is approximately 3.14. In Lucy's case, the big prize wheel has a radius of 2 yards.

To find the area of the prize wheel, we can plug the radius value into the formula:

A = π(2 yards)²

Squaring the radius (2 yards) gives us:

A = π(4 square yards)

Now, we can multiply by the given value of π (3.14):

A = 3.14 × 4 square yards

Finally, multiplying these values together, we get:

A = 12.56 square yards

Therefore, the area of the prize wheel is approximately 12.56 square yards. This calculation helps us understand the size of the prize wheel, which can be useful for various purposes such as determining the space required for the game show set or designing the prize sections on the wheel.

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Answer:

Not enough info

Step-by-step explanation:

Volume of cone formula is: V = 1/3 π r²h

You did not give the radius so it is not possible to find the solution

If radius is given, isolate h by dividing the V by 1/3 π r²

Then simplify the left side of the equation and that is what h is

The measure of the angle WXY is 152 degrees

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

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

m∠MYW = 104 - 90

m∠MYW = 14

The inscribed angle opposite to the same arc is half of the external angle

So, we have

mw = 2 * m∠MYW

mw = 2 * 14

mw = 28 degrees

Also, we have

my = 180 degrees

So, we have

Angle WXY = 180 - 28

Evaluate the difference

Angle WXY = 152

Hence, the measure of the angle is 152 degrees

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Answer:

13 units

Step-by-step explanation:

To find the distance between the two points, use the distance formula.

[tex]\sqrt{(x-x)^{2}+(y-y)^{2} }[/tex]

Plug in the point values.

[tex]\sqrt{(-8--3)^{2}+(-6-6)^{2} }[/tex]

Simplify the parenthesis.

[tex]\sqrt{(5)^2+(-12)^2}[/tex]

Get rid of the parenthesis.

[tex]\sqrt{25+144}[/tex]

Simplify.

[tex]\sqrt{169}[/tex]

Solve.

13 units

The height of the triangle is given as follows:

[tex]h = 2\sqrt{3}[/tex] cm.

The area of the triangle is given as follows:

[tex]A = 4\sqrt{3}[/tex] cm².

The Pythagorean Theorem states that in a right-angled triangle, the square of the length of the hypotenuse (the longest side) is equal to the sum of the squares of the lengths of the other two sides.

The theorem is expressed as follows:

c² = a² + b².

In which:

Considering an equilateral triangle, in which all the side lengths are of 4, we have a right triangle in which:

Hence the height is obtained as follows:

h² + 2² = 4²

h² = 12

[tex]h = \sqrt{3 \times 4}[/tex]

[tex]h = 2\sqrt{3}[/tex] cm

The area of a triangle is given as half the multiplication of the base and of the height, hence:

[tex]A = 0.5 \times 4 \times 2 \sqrt{3}[/tex]

[tex]A = 4\sqrt{3}[/tex] cm².

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Answer:

there both symmetrical

Answer:

Congruent

Step-by-step explanation:

When visualizing how two angles are related, try squashing the two parallel lines into each other. When you do that with these angles, they go from appearing like =\= to appearing like -\-, with x and y being catty-corner from each other.

Because the parallel lines are straight, x and y are both half of a pair that adds up to 180. However, x and y aren't sharing a straight line, so they cannot add up to 180 with each other. That leaves only one possibility, that x and y have the same angle measure.

Answer:

39.27 square units

Step-by-step explanation:

In circle E with m∠DEF = 70∘ and DE=8, we want to find the area of sector DEF. To do this, we can use the formula for the area of a sector:

A_sector=1/2 r^2⋅

α

where r is the radius of the circle and α is the central angle in radians. In our case, r=8 and α=70 ∘ ⋅ π/180∘ = 7π/18 radians

Now, we can plug these values into the formula:

A_sector = 1/2(8^2) ⋅ 7π/18 = 32 ⋅ 7π/18 ≈ 39.27

So, the area of sector DEF is approximately 39.27 square units, rounded to the nearest hundredth.

The area of sector DEF in circle E is approximately 6.10 square units, rounded to the nearest hundredth.

To find the area of sector DEF in circle E, we need to use the formula for the area of a sector:

Area of sector = (Central angle / 360°) * π * r^2

where "Central angle" is the measure of angle DEF in degrees, "r" is the radius of the circle (DE in this case).

Given that m/DEF = 70° and DE = 8, we can calculate the area of sector DEF as follows:

Area of sector = (70° / 360°) * π * 8^2

Now, perform the calculations step by step:

Area of sector = (70/360) * π * 64

Area of sector = (7/36) * π * 64

Area of sector ≈ 3.14 * (7/36) * 64

Area of sector ≈ 3.14 * 1.9444

Area of sector ≈ 6.10 (rounded to two decimal places)

Therefore, the area of sector DEF in circle E is approximately 6.10 square units, rounded to the nearest hundredth.

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Answer:

C.

Step-by-step explanation:

3 = 1.5 * 2

9 = 1.5 * 6

15 = 1.5 * 10

33 = 1.5 * 22

The density of deer for 400 square miles is around 1:4 based on stated number of deers.

The density of deer will be given by the formula -

Population density of deer = number of deer/ area

Population density is the amount or number of individuals of a population on land per unit area.

Keep the value in formula to find the population density

Population density = 100/400

Cancelling zero as common in both numerator and denominator

Population density = 1:4

Thus, there is 1 deer for every 4 square mile.

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The dealer should have sold the article for 103,500 naira to make a profit of 15%.

Let C be the cost price of the composition.  According to the problem, the dealer  vended the composition at a loss of 10, so he  entered 90 of the cost price.  thus, 90 of C is equal to 81,000 naira.

C =  81,000

C =  81,000/0.9

 C =  90,000  

So, the cost price of the composition is 90,000 naira.

  Now, let's find out the selling price  needed to make a profit of 15   Let S be the  needed selling price to make a profit of 15.  We know that profit chance is equal to( profit/ cost price) × 100.

Thus,(15/100) × 90,000 =

S- 90,000 , 500

=  S- 90,000  

S =  90,000 13,500

S =  103,500

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The value of x in the similar figures is 2.33

When two figures have the same shape but their sizes are different, then such figures are called similar figures

The two polygons are similar

We have to find the value of x

Let us form a proportional equation

4590/21=510/x

4590x=21×510

4590x=10710

Divide both sides by 4540

x=10710/4590

x=2.33

Hence, the value of x in the similar figures is 2.33

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Answer:

shape a is 20 cm squared

Step-by-step explanation:

shape a is a parallogram, A =b×h. 5x4=20

shape b is a trapezoid. The picture is cut off but here are the steps for you to solve. A=0.5h(base1+base2) count the number of squares on the top and bottom of the shape. I can see the top is 2, you will need to tfind the length of the bottom base.then count the height, how far to get from the bottom to top, here it is 4.

area=0.5*4(2+bottom base) simply and that's your answer! Don't forget your units

The two true statements are:

A "When the time starts, there are 13.5 gallons of water in the pool."

C "The water is draining at a rate of 1.25 gallons per minute."

Here we have the linaer equation y = –1.25x + 13.5 that represents the gallons of water y left in an inflatable pool after x minutes.

And we want to see which of the given statements are true.

We can see that the slope is -1.25, this means that the volume of water is reducing (due to the negative sign) then the statement C is true.

We also can see that the y-intercept is 13.5, that would be the initial volume of water in the pool, then the statement A "When the time starts, there are 13.5 gallons of water in the pool." is also true.

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To solve exercise 3 on the first page of the handout, we need to first isolate y in the given equation 2.23 - 3y = 8, which gives us y = -1.59.

To find y", we need to differentiate both sides of the equation with respect to x twice. The first derivative gives us:
-3(dy/dx) = 0
Simplifying, we get dy/dx = 0.
Differentiating again, we get:
-3d^2y/dx^2) = 0
Simplifying, we get d^2y/dx^2 = 0.

Therefore, the equation we obtain after differentiating both sides of the given equation with respect to x is d^2y/dx^2 = 0, which is the second derivative of y with respect to x.
To solve the equation given on the first page of the handout, 2.23 - 3y = 8, first isolate y:
1. Subtract 2.23 from both sides: -3y = 5.77
2. Divide both sides by -3: y = -5.77/3
Your answer: y = -5.77/3

The original equation doesn't have any x terms, so differentiation with respect to x is not applicable in this case.

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Answer:

Ф  Exponential.                                

Step-by-step explanation:

The most appropriate for tehe data shown is:

Ф  Exponential.                                          

...