If Sarah has one coin with circumference 56.206 mm, two coins with circumference 76.302 mm, and one coin with circumference 59.974 mm, what coins does she have. How much money is it? Use 3.14 for p.

Answer:

[tex]Y-\frac{\pi}{2} =\frac{\pi}{2} (x+\sqrt{\frac{1}{7}})[/tex]

Step-by-step explanation:

The equation of the curve is

[tex]Y = sin^{-1}(7x)[/tex]

To find the equation of tangent we need to differentiate this equation w.r.t x

So, differentiating we get

[tex]Y'=\frac{7}{\sqrt{1-49x^2} }[/tex]

This would give the slope of the tangent line at any given point of which x coordinate is known. In the present case it is  [tex]x = \sqrt{\frac{1}{7} }[/tex]

Then slope would accordingly be

[tex]Y'=\frac{7}{\sqrt{1-49/49} }[/tex]

= ∞

For, [tex]x = \sqrt{\frac{1}{7} }[/tex], [tex]Y = sin^{-1}(7/7)= \pi/2[/tex]

Equation of tangent line, in the point slope form, would be [tex]Y-\frac{\pi}{2} =\frac{\pi}{2} (x+\sqrt{\frac{1}{7}})[/tex]

The probability that Dan buys a sandwich and gets the bus will be 0.16.

Its basic premise is that something will almost certainly happen. The percentage of favorable events to the total number of occurrences.

The probability that Dan buys a sandwich is 0.2.

The probability that Dan gets the bus is 0.8.

Assuming the events are independent.

Then the probability that Dan buys a sandwich and gets the bus will be

P = 0.2 × 0.8

P = 0.16

More about the probability link is given below.

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Answer:

minimum 56

Median (Q2) 65

Lower Quartile (Q1) 60

Upper Quattile (Q3) 67

Maximum 75

Step-by-step explanation:

If you notice, there are 5 distinguished points of data, and I used all the points for each thing you asked for. You just have to recognize the minimum and maximum are the largest and smallest of all the data, and there is clearly nothing outside of the range of 56-75. then Q1, Q2, and Q3 are on the box itself. The median, just like with numbers, will always be the middle line. It is not directly in the center because there are more people in the 65-75 value range than the 56-65 value range.

hope this helps!

Answer:

minimum 56

Median (Q2) 65

Lower Quartile (Q1) 60

Upper Quattile (Q3) 67

Maximum 75

Step-by-step explanation:

i go to k12

Answer:

14 × 10^(-19) m

Step-by-step explanation:

We are told that the diameter of the red blood cell is 7 × 10^(-6) m

And that number of red blood cells in the person is; 2 × 10^(-13) red blood cells

Since they are held end to end, the length of the line would be;

7 × 10^(-6) × 2 × 10^(-13) = 14 × 10^(-19) m

Answer:

just subtract 6-12 =?

and then 9-16=?

Step-by-step explanation:

=6/7

Answer:

-1/12

Step-by-step explanation:

6/9 - 12/16

divide to the simplest

2/3 - 3/4

find the LCM = 12

therefore,

8 - 9 all over 12

-1/12

Answer:b

Step-by-step explanation:

The requried function represented in the graph is given as y = [-x + 2,  x<1] and y = {x + 1, x ≥ 1} Option A is correct.

The graph is a demonstration of curves that gives the relationship between the x and y-axis.

Functions are the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.

The equation of the function shown in the graph is given as,
y = [-x + 2,  x<1]

y = {x + 1, x ≥ 1}

Thus, the requried function represented in the graph is given as y = [-x + 2,  x<1] and y = {x + 1, x ≥ 1} Option A is correct.

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Answer:

The derivative of a function may be used to determine whether the function is increasing or decreasing on any intervals in its domain. If f′(x) > 0 at each point in an interval I, then the function is said to be increasing on I. f′(x) < 0 at each point in an interval I, then the function is said to be decreasing on I.

Step-by-step explanation:

Answer:

5x-y

Step-by-step explanation:

Answer:

Part A - [tex]l_{1} + l_{2} = 5\cdot x^{2} + 7\cdot x -4[/tex], Part B - Polynomial of second degree and formed by 3 monomials, Part C - [tex]l_{3} = 5\cdot x^{3} -x^{2}-8\cdot x +1[/tex]

Step-by-step explanation:

Part A - The total length of the sides 1 and 2 is equal to the addition between respective polynomials:

[tex]l_{1} + l_{2} = (3\cdot x^{2} - 2\cdot x - 1) + (9\cdot x + 2\cdot x^{2} - 3)[/tex]

[tex]l_{1} + l_{2} = (3\cdot x^{2} + 2\cdot x^{2}) + (9\cdot x - 2\cdot x) +[(-1) + (-3)][/tex]

[tex]l_{1} + l_{2} = 5\cdot x^{2} + 7\cdot x -4[/tex]

Part B - The degree is the highest exponent of the polynomial and the classification is related to the number of monomial that make part of the algebraic expression. In this case, we conclude that resulting expression is a polynomial of second degree and formed by 3 monomials.

Part C - The length of the third side of the triangle by subtracting the expression found in part A from the polynomial of the perimeter of the triangle:

[tex]l_{3} = p - l_{1} - l_{2}[/tex]

[tex]l_{3} = (5\cdot x^{3}+4\cdot x^{2}-x-3) -(5\cdot x^{2}+7\cdot x -4)[/tex]

[tex]l_{3} = 5\cdot x^{3} + [4+(-5)]\cdot x^{2}+[(-1)+(-7)]\cdot x +[(-3)+ 4][/tex]

[tex]l_{3} = 5\cdot x^{3} -x^{2}-8\cdot x +1[/tex]

Answer:

Part A; Total length of side 1 and 2  = 5·x² + 7·x - 4

Part B; The degree of the polynomial is 2

The classification of the polynomial is a trinomial quadratic equation

Part C; 5·x³ - 4·x² - 6·x + 2

Step-by-step explanation:

The length of the sides of the rectangle are;

Side 1: 3·x² - 2·x - 1

Side 2: 9·x + 2·x² - 3

The perimeter of the rectangle is 5·x³ + 4·x² - x - 3

Part A

The given expression for the sides of the rectangle are;

Side 1: 3·x² - 2·x - 1

Side 2: 9·x + 2·x² - 3

The total length of side 1 and side 2 is given by add ing the given expressions as follows;

Total length of side 1 and 2  = 3·x² - 2·x - 1 + 9·x + 2·x² - 3 = 5·x² + 7·x - 4

Part B

The degree of the polynomial is 2 and the classification of the polynomial is a trinomial quadratic equation

Part C

Given that a rectangle rectangle consists of two pairs of equal opposite sides, we have;

The length of the third side = The perimeter - (2 × The length of side 1 + The length of side 2)

The length of the third side = 5·x³ + 4·x² - x - 3 - (2 × (3·x² - 2·x - 1) + 9·x + 2·x² - 3)

The length of the third side = 5·x³ + 4·x² - x - 3 - (8·x² + 5·x - 5)

The length of the third side = 5·x³ - 4·x² - 6·x + 2

Answer:

17 weeks

Step-by-step explanation:

Amt. of money left to save

£495 - £108 = £387

Amt. of money he saves each week

40/100 x £60 = £24

Ans: 387/24 = 16.125

= 17 weeks

16 x £24 = £384(not enough, must save one more week)

Answer:

(4,-5)

Step-by-step explanation:

Hi there!

The problem asks us to solve by elimination, where we will add the two equations together to clear one variable, solve for the other variable, and then substitute the value of the other variable to find the value of the first variable

here's the system:

4x-9y=61

10x+3y=25

we'll clear y to start

multiply the second equation by 3

3(10x+3y)=3(25)

30x+9y=75

  4x-9y=61

now add the equations together (the 9y's clear because one is positive and another is negative)

34x=136

divide by 34

x=4

the value of x is 4

now to find y:

substitute the value of x into either one of the equations to solve for y

if we were to do the first equation for example:

substitute x as 4 into the equation

4(4)-9y=61

multiply

16-9y=61

subtract

-9y=45

divide

y=-5

so the answer is x=4, y=-5. If you need it as a point, it's (4,-5)

Hope this helps! :D

Answer:

C

Step-by-step explanation:

93/35= 2.657

100/2.657= 37.636

round up

Answer: Hope This Helps!

Step-by-step explanation:

1: Streak: Streak is a word referring to the color of the streak that a rock makes when it is scraped against the unglazed side of a white ceramic tile (or, the unglazed bottom of a white coffee cup or toilet tank cover).

2: Luster: The luster of a mineral is best observed on a surface that is free of moisture, dirt, tarnish, and abrasion. Geologists in the field usually carry a rock hammer to break rocks so that their true luster and color can be observed.

3: They could both be the same mineral: The minerals pyrite and gold are always metallic yellow in color and streak (although they differ in other characteristics such as hardness).

4: The rocks contain fossils: Sedimentary rocks are most likely to contain fossils. Fossils are formed when the bodies or remnants of living organisms (plants and animals) are covered and are thus protected from predators or microbial decay. And thats exactly what a sedimentary rock is.

Answer:

[tex]\text{A. 8}i[/tex]

Step-by-step explanation:

The math constant [tex]i[/tex] represents [tex]\sqrt{-1}[/tex]. Because [tex]\sqrt{a\cdot b}=\sqrt{a}\cdot\sqrt{b}[/tex], we can rewrite the equation given the problem as [tex]\sqrt{-64}=\sqrt{64}\cdot \sqrt{-1}=\boxed{8i}[/tex].

Answer:

what that person said

Step-by-step explanation:

Answer:

15

Step-by-step explanation:

Let the smallest integer be x. The integers will be x, x+1, x+2, all the way up to x+6.

119 = 7x + (1+2+3+4+5+6)

119 = 7x + 21

7x = 98

x = 14

The second smallest integer will be x+1, so x+1 = 15.

Answer:

⊥H∀∩K  y∅∪

Step-by-step explanation:

Answer:

8/27

Step-by-step explanation:

Answer:

21.9 ft²

Step-by-step explanation:

Hello!

To find the area of this figure, we must find the area of the 6 x 6 square and subtract the area of a semi-circle with a diameter of 6.

Area square:

Area semi-circe:

Area shape:

The units are ft², so the answer is 21.9 ft²

Answer:

124 degree

Step-by-step explanation:

Since 9y + 7 and 4y+4 are supplementary,

9y + 7 + 4y + 4 = 180

13y + 11 = 180

13y = 180 - 11 = 169

y = 169/13

y = 13

Therefore, 9y + 7 = 9*13 + 7 = 124

4y + 4 = 4*13 + 4 = 56

Since Angle 6 and angle 9y + 7 are vertically opposite angles, they are equal.

angle 6 = 9y + 7

Angle 6 = 124

Hope u understand.

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Thank You

Answer:

77.975degrees

Step-by-step explanation:

Given the following;

Length of the ladder = 12foot (Hypotenuse)

Distance from the wall to the base of the ladder = 2.5feet (adjacent)

Using the SOH CAH TOA identity;

Cos theta = adjacent/Hypotenuse

Cos theta = 2.5/12

Cos theta = 0.2083

theta = arccos (0.2083)

theta = 77.975

Hence the angle that the ladder makes with the ground is 77.975degrees

Given:

Principal = $600

Rate of simple interest = 3% per year

Time = 8 years

To find:

The simple interest.

Solution:

Formula for simple interest is:

[tex]I=\dfrac{P\times r\times t}{100}[/tex]

Where, P is principal, r is the rate of interest in percent and t is the number of years.

Substituting [tex]P=600,\ r=3,\ t=8[/tex] in the above formula, we get

[tex]I=\dfrac{600\times 3\times 8}{100}[/tex]

[tex]I=6\times 3\times 8[/tex]

[tex]I=144[/tex]

Therefore, the simple interest is $144.

Answer:

???

Step-by-step explanation:

Answer:

16

Step-by-step explanation:

if x=23, 23-7=16

Answer:

b yes the full field of veiw sta point a is

Answer:

D,  [tex]10i\sqrt{2}[/tex]

Step-by-step explanation:

Separate -1, 2, and 100 from each other inside the radical. You can take out -1 as i, and 100 as 10. You now have 10i on the outside of the radical and 2 on the inside. Hope this helps.

Answer:

the answer is D.

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