Note

Number

of notes

b) John returns from holiday with these notes.

The exchange rate is £1 = $1. 29.

Work out how much he will get in total

when he changes these notes.

I

$50

NOT

$20

+

$10

7

$5

3

[4]

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Ellie Craven

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Answer:

Step-by-step explanation: The answer is

6y+10

Answer:

The answer is 6y + 10

Answer:

(-2,-1) i am pretty sure this is the answer because the 1/3 gives a big hint

This pyramid has the same base as the prism and its height is three times the height of the prism. What is the ratio of the volume of the

pyramid to the volume of the prism?

1

A} volume of Pyramid

volume of priam

B} volume of pyramid

volume of priuam

C} volume of pyramid

volume of priim

D} Volume of pyramid

volume of

prime

____________________________________________

volume of the prism

Answer:

Each small ice sculpture costs $79 and each large one costs $134

Step-by-step explanation:

3 small + 4 large = $773

2 small + 4 large = $694

3 - 2 = 1

$773 - $694 = $79

So one small = $79

$79 x 3 = $237

$773 - $237 = $536

$536 / 4 = $134

So one large = $134

Answer:

Step-by-step explanation:

Let's say L for 'Large ice sculpture' and S for 'Small ice sculpture'.

We know that:

Work:

       2S + 4L = 694

This means that one small ice sculpture will cost $79. Let's substitute the value of S into the first equation to find out the value of L.

Hence, the cost of a small ice sculpture is $79 and the cost of a large ice sculpture is $134.

Hoped this helped.

\(BrainiacUser1357\)

We have a sample of x=weights with the following data:

• Min = 107

• Q1(x) = 197

• Median(x) = 264

• Q3(x) = 312

• Max(x) = 426

1) The percent of the chicks weight more than 197, this is the value of the Q1. The quartile 1 represent the value of x that the 25% of the sample has a value less o equal to that.

So the percent of chicks that have a weight greater than 197 is 75%.

2) For the weight more than 264, correspond to the Median, so the 50% of sample has a weight lower or equal 264, and the other 50% has a weight greater or equal to 264.

So, the percent is 50%.

3) The weight of 312 correspond with Q3, so the 75% of the sample has a weight less or equal to 312, and the other 35% has a weight greater than 312.

So, the percent is 25%.

4) The weigth are the percentil Q1 and Q3, respectively. So the percent of chicks that have a weigth between 197 and 312 is 75%-25% = 50%

Answer:

y = 8

Step-by-step explanation:

y= \(\frac{1}{3} x\) + 6

\(x\) = -6

y=(\(\frac{1}{3}\) x 6) + 6

y= 2+6 = 8

statisticians have been able to show that the normal bell curve property also occurs when the sample size is 30 observations or fewer: False.

The majority of the observations are centred around the middle peak of the normal distribution, which is a continuous probability distribution that is symmetrical around its mean. 

The normal distribution is a continuous probability distribution with symmetry around its mean, a central peak around which the majority of observations cluster, and a tapering off of probabilities in both directions for values that are farther from the mean.

When a result is significant, it simply implies that you may be certain that it is true, not that you merely got fortunate (or unlucky) in the sample selection.

Thus, the statement given in the question is false.

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Answer:

Step-by-step explanation:

As we know that a polynomial with three terms is said to be a trinomial.

Considering the trinomial of a form

\(ax^2+bx+c\)

As

a = 1

so

\(x^2+bx+c\)

For example,

\(x^2+7x+10\)

\(=\left(x^2+2x\right)+\left(5x+10\right)\)

\(=x\left(x+2\right)+5\left(x+2\right)\)

\(\mathrm{Factor\:out\:common\:term\:}x+2\)

\(=\left(x+2\right)\left(x+5\right)\)

Therefore, Trinomials in the form \(x^2+bx+c\) can often be factored as the product of two binomials.

Answer:

0

Step-by-step explanation:

move x's to one side and constants to another

7x-3x-4x=4-4

add constants and combine like terms

0=0

Answer:

x ≈ 11.1

Step-by-step explanation:

Using the cosine ratio in the right triangle.

cos42° = \(\frac{adjacent}{hypotenuse}\) = \(\frac{x}{15}\) ( multiply both sides by 15 )

15 × cos42° = x, then

x ≈ 11.1 ( to the nearest tenth )

Answer:

The area is 200.96 in^2

Step-by-step explanation:

Answer:

200.96 in^2

Step-by-step explanation:

circle area formula is πr^2

radius = diameter / 2, radius is 8

8^2.π  = 64π  

π  = 3,14

final answer is 64 X 3.14= 200.96 in^2

For all x,

sin²(x) + cos²(x) = 1

so we have

(1 - cos²A) csc²A = sin²A csc²A

and since csc(x) = 1 / sin(x), so the expression reduces to 1.

Answer:

-4

Step-by-step explanation:

Try writing the question in variable form using x as "a number"

\(\frac{1}{2} x - 3 = -5\)

add 5 to the right side of the equal sign and then do the same thing to the left of the equal sign (do the opposite of the number to both sides)

\(\frac{1}{2} x +2 = 0\)

now we kind of do the same process but with the number 2. Subtract two from the left and right side

\(\frac{1}{2}x = -2\)

now since this equation is saying "multiply one half by x" we can do the OPPOSITE so now divide one half from both sides

\(x= \frac{-2}{.5}\)

NOTICE THAT I CONVERTED 1/2 to .5 they mean the same thing

so now just divide -2 by .5

the answer is -4

The area of the polygon is 80 units².

What is a Polygon?

A polygon is a plane figure made up of line segments connected to form a closed polygonal chain. The segments of a closed polygonal chain are called its edges or sides.

Dividing the polygon into parts marked in the attached figure so as to calculate the area easily.

For triangle, DEF

Area = \(\frac{1}{2} bh\)

        = \(\frac{1}{2}\) × 3 × 4

       = 6 units²

For triangle BCD

Area = \(\frac{1}{2}bh\)

        = \(\frac{1}{2}\) × 2 × 4

        = 4 units²

For trapezoid ABFG,

Area = \(\frac{1}{2} (a + b) h\)

        = \(\frac{1}{2}\) × (5.5 + 12) × 8

        = 70 units²

Hence, total area = 6 + 4 + 70

                             = 80 units².

Therefore, the total area of the polygon is 80 units².

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Answer: x = 45/4

Step-by-step explanation:

Answer:

11 1/4 simplified form

45/4 exact form

11.25 decimal form

Amount of pretzel each person receives is 17/16 lb.

Fractions are numbers which are of the form a/b where a and b are real numbers. This implies that a parts of a number b.

Here, a is called the numerator and b is called the denominator.

Total weight of the bag of pretzels = 34 ounce

Elisa shares this among her two sisters equally.

Share of pretzels each sister gets = 34 / 2 = 17 ounces

We need this amount in pounds.

We know that,

16 ounce = 1 lb.

17 ounces = 17/16 lb.

Hence the amount of pretzels each get is  17/16 lb.

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Answer: m=-9

Step-by-step explanation:

The slope formula is \(m=\frac{y_2-y_1}{x_2-x_1}\). The corresponding points can be plugged into the formula to solve.

\(m=\frac{-10-8}{-4-(-6)} =\frac{-18}{2} =-9\)

Therefore, the slope is m=-9.

Question :-

Answer :-

\( \rule{180pt}{4pt}\)

Solution :-

As per provided information in the given question, we have been given that the:

To calculate the slope, we will use the formula below :-

\( \qquad \sf\bigstar \: \: \: \: \boxed{ \sf{ \: \: \: m = \dfrac{y_2 - y_1}{x_2 - x_1} \: \: \: }}\)

So, by substituting the given values into the above formula:

\( \sf{m = \dfrac{y_2 - y_1}{x_2 - x_1} = \dfrac{ - 10 - 8}{ - 4 - ( - 6)} = \dfrac{ - 18}{2} = \pink{ - 9}}\)

Therefore :-

\( \\ \)

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Have a great day! <33

Answer:

n-2, n-1, n, n+1, n+2, n+3

Step-by-step explanation:

We have to,

→ find the numbers from n-3 to n+4.

Then the numbers are,

→ n-3, n-2, n-1, n, n+1, n+2, n+3, n+4

Hence, there are 6 numbers.

Answer:

D (3/2

Step-by-step explanation:

Simplify both side of the equation: 5(4x - 10) + 10x = 4(2x - 3) + 2(x - 4)

(5)(4x) + (5)(−10) + 10x = (4)(2x) + (4)(−3) + (2)(x) + (2)(−4)

Then you distribute: 20x + −50 + 10x = 8x + −12 + 2x + −8

(20x + 10x) + (−50) = (8x + 2x) + (−12 + −8)

Combine like terms: 30x + −50 = 10x + −20

30x - 50 = 10x - 20

Subtract 10x from both sides: 30x − 50 − 10x = 10x − 20 − 10x

20x - 50 = -20

Add 50 to both sides: 20x - 50 + 50 = -20 + 50

20x = 30

Divide both sides by 20: 20x / 20 = 30 / 20

x = 3/2

Boom! I hope that helped :)

Answer:

So if 5 soda cost $3.75 per can, multiply 3 times $3.75 and that would be your answer:  $11.25

Step-by-step explanation:

Answer:

D. <KLN and < HIL

Step-by-step explanation:

Corresponding angles make the letter F.

Answer: The answer is -30 - 45 k

Step-by-step explanation:

The given statement that Diagonal WY bisects angles ZWX and ZYX has been proven below to be true.

Bisection of an angle is simply defined as dividing an angle into two equal parts.

We are given that Diagonal WY bisects angles ZWX and ZYX.

Now, from the image attached, we can see that side XY is congruent to side ZY and so; XY ≅ ZY.

Similarly, XW is congruent to ZW and as such; XW ≅ ZW

Since XY is congruent to ZY and XW is congruent to ZW, then the statement that  diagonal WY bisects angles ZWX and ZYX is true

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We need to determine the score a student must achieve to place in the top 5% of all students taking the SAT Verbal test with an N(\(515, 109\)) distribution, which came out to be \(695\) marks.

Identify the mean (μ) and standard deviation (σ) of the distribution: In this case, µ \(= 515\) and σ\(= 109\).

Determine the percentile rank: To place in the top \(5%\)% of students, we need to find the score corresponding to the \(95th\) percentile, as this represents the point where \(95\)% of students have a lower score.

Use a standard normal (Z) table or calculator to find the Z-score corresponding to the \(95th\) percentile: A Z-score represents the number of standard deviations a data point is from the mean.

For the \(95th\) percentile, the Z-score is approximate \(1.645\).

Apply the Z-score formula to find the required SAT score: \(X =\) µ \(+ Z*\) σ. In this case, \(X = 515 + (1.645 *109)\).Calculate the result: \(X = 515 + (1.645 *109)\)

\(=515 + 179.305 = 694.305\).

Round up to the nearest whole number: Since a student's SAT score must be a whole number, round up to \(695\). A student must score \(695\) or higher on the SAT Verbal test to place in the top \(5\)% of all students taking the test, given the N(\(515, 109\)) distribution.

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Answer:

Find the area of the triangle side, then multiply by the length of the prism.Area of triangle = 1/2 x height x baseArea  = 1/2 x 2 x 3 = 3 square cmVolume = 3 x 4 = 12 cubic cm.Answer is A)

Step-by-step explanation:

Answer:

Step-by-step explanation:

1.  x -> opposite side of 48°

   o → hypotenuse

   b → adjacent side of  48°

\(\sf Sin \ 48^\circ = \dfrac{opposite \ side }{hypotenuse}\\\\\\0.7431 = \dfrac{15}{o}\\\\\\0.74 * o = 15\\\\\\ o = \dfrac{15}{0.74}\\\\\\\)

o = 20.27

\(\sf cos \ 48^\circ = \dfrac{adjacent \ side }{hypotenuse}\\\\\\0.67 =\dfrac{b}{o}\\\\\\0.67=\dfrac{b}{20.27}\)

b = 0.67*20.27

b = 13.58

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

2) i → opposite side of 25°

n → adjacent side of 25°

\(\sf Sin \ 25 =\dfrac{i}{t}\\\\\\0.42=\dfrac{i}{30}\\\\\\0.42*30=i\)

i = 12.6

\(\sf Cos \ 30^\circ =\dfrac{n}{t}\\\\0.91=\dfrac{n}{30}\\\\\\0.91*30 = n\)

n = 27.3

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

3) a → opposite side of 70°

e → adjacent side of 70°

\(Sin \ 70^\circ =\dfrac{a}{l}\\\\0.94 =\dfrac{a}{25}\\\\0.94*25=a\)

a = 23.5

\(\sf Cos \ 70^\circ =\dfrac{e}{l}\\\\0.34=\dfrac{e}{25}\\\\0.34*25=e\)

e = 8.5

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

4)

\(\sf Sin \ 52^\circ = \dfrac{x}{75}\\\\0.79*75=x\\\)

x = 59.25

\(\sf Cos \ 52^\circ = \dfrac{z}{75}\\\\0.62*75 =z\)

z = 46.5

The tangent of y(x) at x = 1 is y'(1) = 4 + C₁, and the value of f(1) is 5, we can solve for C₁ to get C₁ = 1. Therefore, the function y(x) = x⁴ / 4 + x + C₂, where C₂ is another constant.

The given equation is  f (x) = 5, and it is the tangent of the function y = x³ / 3 at x = 1.To get y = x (x² / 2 + C), we integrate the second derivative of y with respect to x.∫(d²y/dx²)dx = ∫(12x²)dx => y = 4x³ + C₁ Solve for C₁ by applying the point-slope equation at the point x = 1:f(1)

= 5

= y(1)

= 4(1)³ + C₁

=> C₁ = 1Therefore, the equation of y is: y = 4x³ + 1.For a more in-depth and better explanation, here are 150 words: A second derivative represents the rate of change of the first derivative with respect to x.

Therefore, if we have a second derivative of y with respect to x, we can integrate it twice to get a function of y with respect to x. Given y''(x) = 12x², we can integrate it once to obtain y'(x) = 4x³ + C₁, where C₁ is a constant. We integrate y'(x) once again to get y(x) = x⁴ / 4 + C₁x + C₂, where C₂ is another constant. Now, to find C₁ and C₂, we need to use the fact that the function f(x) = 5 is tangent to y(x) at x = 1.

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The tangent of y(x) at x = 1 is y'(1) = 4 + C₁, and the value of f(1) is 5, we can solve for C₁ to get C₁ = 1. Therefore, the function y(x) = x⁴ / 4 + x + C₂, where C₂ is another constant.

The given equation is  f (x) = 5, and it is the tangent of the function

y = x³ / 3 at x = 1.

To get y = x (x² / 2 + C),

we integrate the second derivative of y with respect to x.

∫(d²y/dx²)dx = ∫(12x²)dx

=> y = 4x³ + C₁

Solve for C₁ by applying the point-slope equation at the point

x = 1:f(1)

= 5

= y(1)

= 4(1)³ + C₁

=> C₁ = 1Therefore, the equation of y is: y = 4x³ + 1

.For a more in-depth and better explanation, here are 150 words: A second derivative represents the rate of change of the first derivative with respect to x.

Therefore, if we have a second derivative of y with respect to x, we can integrate it twice to get a function of y with respect to x.

Given y''(x) = 12x²,

we can integrate it once to obtain

y'(x) = 4x³ + C₁, where C₁ is a constant.

We integrate y'(x) once again to get

y(x) = x⁴ / 4 + C₁x + C₂, where C₂ is another constant.

Now, to find C₁ and C₂, we need to use the fact that the function

f(x) = 5 is tangent to y(x) at x = 1.

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Answer: $301.51 [recheck the answer]

Step-by-step explanation:

y = a(1+r/n)^nt

y = 200(1+0.069/4)^4*6

y = 301.505

Answer:

Step-by-step explanation:

One antifreeze solution is 26% alcohol and another is 11% alcohol how much of each mixture should be added to make 24 l of a solution that is 21% alcohol?

Let us represent

First solution =>x

Second solution => y

System of equations

x + y = 24.....Equation 1

x = 24 - y

26% × x + 11% × y = 21% × 24

= 0.26x + 0.11y = 5.04... Equation 2

Answer:

You have to translate these sentences into expressions.  I am not going to solve all of these because if I explain one/two problems to you, you'll get the hang of it.  Seven more than three times a number: 7+3x; Five times a number decreased by six: 5x-6

Step-by-step explanation:

Why?  We don't know what number that is, so we can put any variable like (x, y, z, a, b, etc.). Three times a number is simply that number times 3.  In this case we would input: 3*x, or 3x.  7 more than that number is 3x+7.  Five times a number decreased by six: 5x-6 .  Remember: it is simply 5*x which simplifies to 5x.  Decreased is take away, so take away 6, and get 5x-6

Key words: Quotient: the result after dividing two/or more numbers; Product: the result after multiplying two/ or more numbers; Decreased: take away (Example: x decreased by 7=x-7)

I hope you understand!! It is very simple after you start to get the hang of it!!