Please can someone help me

Nathan will therefore have captured a total of 51 ladybirds over the previous 6 days after including the 8 that he collected today in his data set.

A set is a group of unique objects, known as elements, that are treated as a singular entity in mathematics. Anything, including letters, numerals, and even other sets, can be the objects. The components of sets are typically listed between curly braces and separated by commas. Sets are typically represented by capital letters. The set of even numbers, for instance, can be represented as 2, 4, 6, 8,..., where the dots signify that the pattern is infinite. Several operations, including union, intersection, and complement, can be used to modify sets. The set of all components that are members of either set A or set B or both is the union of the two sets A and B, denoted as A B.

given

Nathan's overall catch over the previous 6 days will rise if he includes the 8 ladybirds he caught today in his data set. The new data collection will be specifically:

8, 10, 6, 5, 14, 8

We merely add up all the figures in the data set to determine the new total number of ladybirds Nathan has captured:

8 + 10 + 6 + 5 + 14 + 8 = 51

Nathan will therefore have captured a total of 51 ladybirds over the previous 6 days after including the 8 that he collected today in his data set.

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The angle of elevation of the sun is 19. 75 degrees

It is crucial to know there are six trigonometric identities.

These identities are;

From the information given,  we have that;

The angle of elevation = θ

The opposite side = The height of the building

The adjacent side = shadow of the building

Using cosine identity, we have;

cos θ = 48/51

divide the values

cos θ = 0. 9412

Take the cosine inverse

θ = 19. 75 degrees

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Answer:

Let x be the amount (in liters) of the 5% acetic acid solution to be added.

Let y be the amount (in liters) of the 10% acetic acid solution to be added.

The system of equations is:

x + y = 2 (the total amount of solution is 2 liters)

0.05x + 0.10y = 0.07(2) (the amount of pure acetic acid in the final solution is 7% of 2 liters)

Simplifying the second equation:

0.05x + 0.10y = 0.14

5x + 10y = 14 (multiplying both sides by 100)

We now have a system of two equations with two variables. We can solve it by substitution or elimination. Here, we'll use substitution:

x + y = 2 => x = 2 - y (subtracting y from both sides)

Substituting x in the second equation:

5(2 - y) + 10y = 14 (replacing x by 2 - y)

10 - 5y + 10y = 14

5y = 4

y = 0.8

So the photographer should add 0.8 liters of the 10% acetic acid solution and 2 - 0.8 = 1.2 liters of the 5% acetic acid solution. We can check that this solution satisfies both equations:

0.05(1.2) + 0.10(0.8) = 0.06 + 0.08 = 0.14

1.2 + 0.8 = 2

Therefore, the answer is:

The photographer should add 0.8 liters of the 10% acetic acid solution and 1.2 liters of the 5% acetic acid solution.

The blanks are filled by the following

8-3x   3x-6  4x-5  -2x+5

2x-3    3       2-x      x

1-2x    4x-1  3x-2  -3x+4

5x-4   6-5x -4x+7  6x-7

The blanks are filled by adding the complete row, this will be used for comparison and solve for other missing spaces.

let the missing value in each case be y

Adding the complete row gives

2x - 3 + 3 + 2 - x + x = 2x + 2

Column 1

8 - 3x + 2x - 3 + 1 - 2x + y = 2x + 2

6 - 3x + y = 2x + 2

y = 5x - 4

Column 2

y + 3 + 4x - 1 + 6 - 5x = 2x + 2

y + 8 - x = 2x + 2

y = 3x - 6

Row 4

5x - 4 + 6 - 5x + y + 6x - 7 = 2x + 2

6x - 5 + y  = 2x + 2

y = -4x + 7

Column 3

y + 2 - x + 3x - 2 - 4x + 7 = 2x + 2

y + 7 - 2x = 2x + 2

y = 4x - 5

Row 1

8 - 3x + 3x - 6 + 4x - 5 + y = 2x + 2

-3 + 4x + y = 2x + 2

y = -2x + 5

Row 3

1 - 2x + 4x - 1 + 3x - 2 + y = 2x + 2

5x - 2 + y = 2x + 2

y = -3x + 4

check

This should be equal to Row 1 which is y = -2x + 5

Column 4

y + x - 3x + 4 + 6x - 7 = 2x + 2

y + 4x - 3 = 2x + 2

y = -2x + 5

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The trinomial 4x²-20x+25 is factorable. The correct factorization of the trinomial 4x²-20x+25 is H (2x+5)².

To factor a trinomial, we need to find two numbers that multiply to give the constant term (25) and add to give the coefficient of the middle term (-20). In this case, the two numbers are -5 and -5. We can then write the trinomial as (4x²-10x-10x+25), and factor by grouping:

4x²-10x-10x+25 = (4x^(2)-10x) + (-10x+25) = 2x(2x-5) - 5(2x-5) = (2x-5)(2x-5) = (2x+5)²

Therefore, the correct factorization of the trinomial is H (2x+5)²

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Because 6 cannot equal 2, this statement is false. As a result, this equation cannot be solved.

By fusing two expressions, the equation generates a mathematical expression, similar to an expression. A common equation would have been 3x - 5 = 16. The solution to this equation reveals that the variable x has a value of 7.

First, we employ the distributive property to simplify the left side of the equation:

3(x + 2) = 3x + 6

The right side of the calculation is then made simpler by grouping related terms together:

x+2x+2 = 3x+2

The initial equation is now:

3x + 6 = 3x + 2

3x both from sides are subtracted, giving us:

6 = 2

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Alex initially had 60 two pence coins.

Algebra is a branch of mathematics that deals with symbols and the rules for manipulating these symbols. It is used to solve problems and represent mathematical relationships and formulas. In algebra, letters and other symbols are used to represent numbers and quantities, allowing us to express mathematical relationships and patterns in a more general and abstract way.

In mathematics, simplification refers to the process of reducing an expression or equation to a simpler form. This is typically done by applying mathematical operations or rules to the expression or equation to eliminate unnecessary terms, factors, or operations.

For example, if we have the expression (x^2 + 4x + 4)/(x + 2), we can simplify it by factoring the numerator and canceling out the common factor with the denominator. This gives us (x + 2), which is a simplified form of the original expression.

In the given question,

Let's start by using some algebra to solve the problem.

Let's say that Alex initially had x two pence coins. After swapping half of them for 10p coins, she would have x/2 ten pence coins. We can use this information to set up an equation relating the value of her coins to the total amount of money she ended up with:

0.02x + 0.10(x/2) = 4.20

Simplifying this equation, we get:

0.02x + 0.05x = 4.20

0.07x = 4.20

x = 60

So Alex initially had 60 two pence coins. Checking our answer, we can see that she swapped half of them for 30 ten pence coins. The value of her 60 two pence coins is 0.02 x 60 = £1.20, and the value of her 30 ten pence coins is 0.10 x 30 = £3.00. Together, these add up to £4.20, as required.

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Answer: 13,024

Step-by-step explanation:

used a converter

Answer:

Step-by-step explanation:

16 ounces is equal to 1 pound so to convert ounces to pounds just multiply by 16. 814 times 16 is equal to 13,024 or thirteen thousand and twenty-four.

The measure of the angles e, d, a, and f will be 26°, 122°, 102°, and 58°, respectively.

The inclination is the separation seen between planes or vectors that meet. Degrees are another way to indicate the slope. For a full rotation, the angle is 360°.

By the supplementary property, the equation is given as,

f + 78° + 44° = 180°

f = 58°

By the complementary property, the equation is given as,

e + 64° = 90°

e = 26°

By the corresponding angles property, the equation is given as,

c = f

c = 58°

By the supplementary property, the equation is given as,

c + d = 180°

58° + d = 180°

d = 122°

By the corresponding angles property, the equation is given as,

b = 78°

By the supplementary property, the equation is given as,

a + b = 180°

a + 78° = 180°

a = 102°

The diagram is given below.

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Answer:

The answer to your problem is, 1130

Step-by-step explanation:

Calculation of work:

discount=40% of 2500

=40/100 x 2500

=1000

discount price=1000

VAT = 13% of 1000

How to find /\:

Percetage graph:

=13/100*1000

=130

price=1000+130

=1130.

Thus, the answer to your problem is, 1130.

The amount left over is  $120,499.85.

The present value of the amount invested in the municipal bond and the high yield savings account has to be determined.

Present value = FV ÷ (1 + r)^(nm)

Where:

r = interest rate

m = number of compounding

FV = future value

Present value of the future value in the high yield savings account:

r = 9/4 = 2.25%

m = 4

200,000 ÷ ( 1 + 0.0225)^(4 x 5)

200,000 ÷ (1.0225^20)

= 128,163.29

Present value of the future value of the municipal bond: r = 6.78 / 2 = 3.39%

m = 2

100,000 ÷ (1 + 0.0339)^(2 x 10)

100,000 ÷ (1.0339^20) = $51,336.86

Amount left over = $300,000 - $51,336.86 - 128,163.29 = $120,499.85

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Answer:

We can use the concept of proportion to estimate the total number of sweets in the jar.

Let's represent the total number of sweets in the jar by "x". We know that 90 of these are pear drops. So the proportion of pear drops in the jar is 90/x.

Leona takes a random sample of 70 sweets from the jar and finds that 22 of these are pear drops. So the proportion of pear drops in the sample is 22/70.

We can assume that the proportion of pear drops in the sample is roughly equal to the proportion of pear drops in the jar. Therefore, we can set up a proportion and solve for "x":

90/x = 22/70

Cross-multiplying, we get:

22x = 90 * 70

Dividing both sides by 22, we get:

x = 90 * 70 / 22

Using a calculator, we get:

x ≈ 287

Therefore, an estimate for the total number of sweets in the jar is 287, rounded to the nearest integer.

Answer:

We can use the concept of proportion to estimate the total number of sweets in the jar.

Let's represent the total number of sweets in the jar by "x". We know that 90 of these are pear drops. So the proportion of pear drops in the jar is 90/x.

Leona takes a random sample of 70 sweets from the jar and finds that 22 of these are pear drops. So the proportion of pear drops in the sample is 22/70.

We can assume that the proportion of pear drops in the sample is roughly equal to the proportion of pear drops in the jar. Therefore, we can set up a proportion and solve for "x":

90/x = 22/70

Cross-multiplying, we get:

22x = 90 * 70

Dividing both sides by 22, we get:

x = 90 * 70 / 22

Using a calculator, we get:

x ≈ 287

Therefore, an estimate for the total number of sweets in the jar is 287, rounded to the nearest integer.

Step-by-step explanation:

The measure of ∠A is 77 degrees.

A round-shaped figure that has no corners or edges is called as Circle.

ABCD is the quadrilateral which is inscribed in the circle.

We have to find angle A measure.

The opposite angles of a cyclic quadrilateral are supplementary so we apply to find the measure.

Therefore, angle A + angle C = 180 degrees

2x+9+3x+1=180

5x+10=180

Subtract 10 from both sides

5x=170

Divide both sides by 5

x=34

Now plug in x value in angle A, 2x+9.

∠A=2x+9

=2(34)+9

=68+9

=77 degrees.

Hence, the measure of ∠A is 77 degrees.

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The minimum value is 24

To find the minimum value of z=7x+3y, we must use the given constraints to determine the values of x and y.

First, solve 4x + 6y ≥ 24. Rearrange the equation to solve for x: x ≥ (24 - 6y) / 4.

Next, solve x + 6y ≥ 12. Rearrange the equation to solve for y: y ≥ (12 - x) / 6.

Using the two equations, determine the possible values of x and y:
If y = 0, then x = 6
If x = 0, then y = 2

Substitute the possible values of x and y into the equation z = 7x + 3y and find the minimum value:
z = 7(6) + 3(0) = 42
z = 7(0) + 3(2) = 24

Therefore, the minimum value of z is 24.

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Jon's savings before he gave Rick the gift was $600.  An equation to represent this situation: 400 + (1/8)x = 475

To determine Jon's savings before he gave Rick the gift, we can use an equation. Let's represent Jon's savings with the variable x.

According to the problem, Jon gave Rick 1/8 of his savings, which is equal to (1/8)x. We also know that Rick originally had $400 and after receiving the gift, he had $475. So we can write an equation to represent this situation:
400 + (1/8)x = 475

Now, we can solve for x to find out Jon's savings before he gave Rick the gift. First, let's isolate the variable on one side of the equation:
(1/8)x = 475 - 400
(1/8)x = 75

Next, we can multiply both sides of the equation by 8 to get rid of the fraction:
x = 75 * 8
x = 600

So, Jon's savings before he gave Rick the gift was $600.

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Answer:

-12?

Step-by-step explanation:

Answer:

Below in bold.

Step-by-step explanation:

The right triangle of which ∅ is a part has

Hypotenuse = sqrt(8^2 + 15^2)

=  sqrt289

= 17,

So, sin ∅ = 8/17 and cos ∅ = 15/17

and

sin∅ + cos∅(1- cos∅)

= 8/17 + 15/17(1 - 15/17)

= 8/17 + 15/17 - 225/289

= 166/289.

(b)  tan 30 = h/96      where h is height of the mast

h = 96 tan 30.

= 55.4256

tan 60 = 55.4256/d        where d is the required distance

d = 55.4256/ tAN60

  = 32 M

The correct statements according to the model are: if the delivery location is 0 miles away, the order will take 5 minutes to be delivered, and if the delivery location is 10 miles away, the order will take 30 minutes to be delivered.

What is statements ?

A statement is a sentence that expresses a complete thought and can be either true or false. In mathematics, statements are often used to make claims or propositions that can be proven or disproven using logical reasoning and evidence.

The equation y = 2.5x + 5 models the average amount of time from when an order is placed until when it is delivered for a sandwich shop that makes home deliveries, where x is the number of miles between the shop and the delivery location, and y is the time in minutes.

To answer the question, we need to look at the statements and see which ones are correct according to the model:

If the delivery location is 0 miles away, the order will take 5 minutes to be delivered.

This statement is true because if x=0, then y=2.5(0)+5=5, which means the order will take 5 minutes to be delivered.

If the delivery location is 10 miles away, the order will take 30 minutes to be delivered.

This statement is true because if x=10, then y=2.5(10)+5=30, which means the order will take 30 minutes to be delivered.

If the delivery location is 1 mile away, the order will take 2.5 minutes to be delivered.

This statement is false because if x=1, then y=2.5(1)+5=7.5, which means the order will take 7.5 minutes to be delivered, not 2.5 minutes.

If the delivery location is 5 miles away, the order will take 20 minutes to be delivered.

This statement is false because if x=5, then y=2.5(5)+5=17.5, which means the order will take 17.5 minutes to be delivered, not 20 minutes.

Therefore, the correct statements according to the model are: if the delivery location is 0 miles away, the order will take 5 minutes to be delivered, and if the delivery location is 10 miles away, the order will take 30 minutes to be delivered.

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The distribution is binomial.

a) The probability that exactly 3 in the sample are unemployed is 0.0311, b) The probability that there are fewer than 3 in the sample are unemployed is 0.5354, c) The probability that there are more than 2 in the sample are unemployed is 0.4646, d) The probability that there are at most 3 in the sample are unemployed is 0.5665.

The binomial distribution formula is P(x) = (nCx)(p^x)(q^(n-x)), where n is the number of trials, x is the number of successes, p is the probability of success, and q is the probability of failure.

a) To find the probability that exactly 3 in the sample are unemployed, we plug in the values: n = 20, x = 3, p = 0.065, and q = 0.935.
P(3) = (20C3)(0.065^3)(0.935^17) = 1140(0.000274625)(0.099961375) = 0.0311

b) To find the probability that there are fewer than 3 in the sample are unemployed, we need to find the probability that 0, 1, or 2 are unemployed and add them together.
P(0) = (20C0)(0.065^0)(0.935^20) = 1(1)(0.1645) = 0.1645
P(1) = (20C1)(0.065^1)(0.935^19) = 20(0.065)(0.1725) = 0.2249
P(2) = (20C2)(0.065^2)(0.935^18) = 190(0.004225)(0.1812) = 0.1460
P(<3) = P(0) + P(1) + P(2) = 0.1645 + 0.2249 + 0.1460 = 0.5354

c) To find the probability that there are more than 2 in the sample are unemployed, we can subtract the probability that there are fewer than 3 from 1.
P(>2) = 1 - P(<3) = 1 - 0.5354 = 0.4646

d) To find the probability that there are at most 3 in the sample are unemployed, we can add the probabilities that there are 0, 1, 2, or 3 unemployed.
P(≤3) = P(0) + P(1) + P(2) + P(3) = 0.1645 + 0.2249 + 0.1460 + 0.0311 = 0.5665

Therefore, the answers are:
a) 0.0311
b) 0.5354
c) 0.4646
d) 0.5665

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The result of the division is a monomial, and it is in standard form: [tex]-0.195b^4[/tex]

The result of the division of the monomials is a monomial. To find the result, we need to divide the coefficients and subtract the exponents of the same variables.

The steps are as follows:

Divide the coefficients: -0.26 ÷ (4(1)/(3)) = -0.26 ÷ (4/3) = -0.26 × (3/4) = -0.195

Subtract the exponents of the same variables: a^(3-3) = a^0 = 1, b^(6-2) = b^4

Multiply the result of step 1 and step 2: -0.195 × 1 × b^4 = -0.195b^4

Therefore, the result of the division is a monomial, and it is in standard form: -0.195b^4.

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Your monthly house payment given that the bank charges 6.25% APR for a loan of 15 years will be $51.95.

To find the monthly house payment for a loan of $65,000 with a 6.25% APR for 15 years, we can use the formula:

M = P [ i(1 + i)^n ] / [ (1 + i)^n - 1]

Where:
M = monthly payment
P = principal amount
i = monthly interest rate
n = number of monthly payments

First, we need to find the monthly interest rate and the number of monthly payments:
i = 6.25% / 12 = 0.00625
n = 15 years(12 months/year) = 180 months

Now we can plug these values into the formula:
M = 65,000 [ 0.00625(1 + 0.00625)^180 ] / [ (1 + 0.00625)^180 - 1]

M = 65,000 [ 0.00625(1.00625)^180 ] / [ (1.00625)^180 - 1]

M = 65,000 [ 0.024636 ] / [ 0.171184 ]

M = 65,000 [ 0.143875 ]

M = 9,351.88

So, the monthly house payment will be $9,351.88 / 180 = $51.95.

Therefore, the monthly house payment for a loan of $65,000 with a 6.25% APR for 15 years will be $51.95.

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The distance between home plate and second base in a Major League Baseball field is approximately 127.28 feet.

The distance from home plate to second base in a major league baseball field is 127 feet and 3⅜ inches, or approximately 127.28 feet. This is because the distance between each base (from home to first, first to second, etc.) is 90 feet, and the diagonal of a square is found by using the Pythagorean theorem: a² + b² = c². In this case, a and b are both 90 feet, so the equation becomes 90² + 90² = c². Simplifying and solving for c gives us c = 127.28 feet. Therefore, the distance from home plate to second base is 127.28 feet.

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The value of x is

x=-5

Generally, An angle is a figure formed by two rays (or line segments) that share a common endpoint. Angles are usually measured in degrees, with a full angle measuring 360 degrees.

Considering that the angle on a point is 630 , we have that the missing angle is

y=360-(148+92)

y=120

Therefore

y=x+125

Hence

x=y-125

x=120-125

x=-5

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The profits exist the same (slope) but the y-intercept is more increased than the actual diagram.

A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the

change in y coordinate with respect to the change in x coordinate as,

m = Δy/Δx where, m is the slope

Given:

The slope-intercept form of a linear equation is where one side includes only "y"

2x+ 3y= 1470

y= -2/3 x + 490

Hence, the y-intercept exists at 490 and the slope is -2/3x.

As, 2x + 3y = 1593

3y = -2x +1593

y = -2/3x +531

The profits exist the same (slope) but the y-intercept is more increased than the actual diagram.

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Heather runs 3 miles in 28 minutes, so at the same rate, she would run 4.494 miles in 42 minutes.

To find out how many miles Heather would run in 42 minutes at the same rate, we use the concept of unit rate. Unit rate is a comparison of two different quantities when they are combined together. In this case, we need to find the unit rate of Heather's running speed in miles per minute.

Step 1: Find the unit rate of Heather's running speed in miles per minute.

To do this, we divide the distance she ran by the time she took to run it:

3 miles ÷ 28 minutes = 0.107 miles per minute

Step 2: Use the unit rate to find out how many miles Heather would run in 42 minutes.

To do this, we multiply the unit rate by the time she runs:

0.107 miles per minute × 42 minutes = 4.494 miles

Therefore, Heather would run 4.494 miles in 42 minutes at the same rate.

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.

Answer:

R is (-10,4) S is (-1,7) T is (-1,-2) U is (-10,-2)

Answer:

y = 3x + 3

Step-by-step explanation:

The equation of the line is in standard form, which means we need to convert it into slope intercept form [tex]y=mx+b[/tex], where m is the slope and b is the y intercept.

[tex]3x-y=3[/tex]

Add 3x to both sides

[tex]y=3x+3[/tex]

Now we need to graph it:

The y intercept is 3, so we start at 3. Our slope is [tex]\frac{3}{1}[/tex] or 3, so we go down 3 and 1 to the left.

Answer:

6

Step-by-step explanation:

Step 1: How many males are there?

40% of 60 = 0.4 × 60 = 24

There are 24 males.

Step 2: Of the 24 males, how many wear a hat?

25% of 24 = 0.25 × 24 = 6

Answer: 6