If you sold 17 units this week out of 153 units in inventory, what percent of your inventory did you sell?

Answer:

50(5π + 6) cm²

Step-by-step explanation:

TSA of figure = 1/2 of TSA(Cylinder) + Area of rectangle

= 1/2 of 2πr(h+r) + 20*15

= πr(h+r) + 300

= 10π(15+10) + 300

= 250π + 300 cm²

or 50(5π + 6) cm²

According to the Pythagorean Theorem 1. b = 122. a = 1/4 for more detail scroll down.

The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides. The theorem can be written as an equation: c^2 = a^2 + b^2, where c is the length of the hypotenuse and a and b are the lengths of the other two sides.

1. To use the Pythagorean theorem to find the length of side b, you can use the equation: c^2 = a^2 + b^2. In this case, c = 15 and a = 9, so you can substitute those values into the equation and solve for b:

15^2 = 9^2 + b^2

225 = 81 + b^2

b^2 = 225 - 81

b^2 = 144

b = sqrt(144)

b = 12

2. In the second case a is unknown and the other two sides are in fraction form, so we can use Pythagorean theorem to find the value of a.

The equation is c^2 = a^2 + b^2

(5/12)^2 = a^2 + (4/12)^2

25/144 = a^2 + 16/144

a^2 = 9/144

a = sqrt(9/144)

a = sqrt(1/16)

a = 1/4

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Answer:

#1 is 39

#2 is 10 1/2

Step-by-step explanation:

Hopefully this helped, if not HMU and I will try my best to get you a better answer!

Have a great thanksgiving break :)

Answer:22 centimeters

Step-by-step explanation:

The vector v+w has a magnitude of 2√2 and its direction is along the positive x-axis.

What is meant by vector?

A vector is a quantity that has both magnitude and direction. It is represented as an arrow with its length representing the magnitude and its direction representing the direction of the quantity.

What is meant by the x-axis?

The x-axis is the horizontal line on a coordinate plane that is used as a reference for plotting and describing the positions of points in two-dimensional space. It is often referred to as the "horizontal axis" or the "abscissa".

According to the given information

Here the vector v has a magnitude of 2 and a direction of 45° so the components of vector v are:

v_x = 2 cos 45° = √2

v_y = 2 sin 45° = √2

Vector w has a magnitude of 2 and a direction of 45° South of East. This means that the angle between vector w and the positive x-axis is 45°, and the angle between vector w and the negative y-axis is 45°. Therefore, the components of vector w are:

w_x = 2 cos 45° = √2

w_y = -2 sin 45° = -√2

Now we can add the components of vectors v and w to find the components of the vector v+w:

(v+w)_x = v_x + w_x = √2 + √2 = 2√2

(v+w)_y = v_y + w_y = √2 - √2 = 0

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Answer:

I'm not sure but ... \(0\leq h \leq 63\)

Step-by-step explanation:

500 divided by 8 is 62.5 so I just rounded it to 63

Answer:

---------------------------------

Real distance is 4.4 miles and on the map it is 8 inches.

The scale is:

or

Answer:

it will take her 2 hours and 45 minutes

The value of e can be calculated by  e = A - f/2.

Usually, simplification involves proceeding with the pending operations in the expression.

For example, 5 + 2 is an expression whose simplified form can be obtained by doing the pending addition, which results in 7 as its simplified form.

Simplification usually involves making the expression simple and easy to use later.

We have been given an expression as;

A =e+f/2

We need to find the solution for 'e'.

So,

A = e+f/2

Subtract from f/2 on each side, we get;

A - f/2 = e

Thus, e = A - f/2

Therefore, the value of e can be calculated by  e = A - f/2.

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Answer:

f(x)  :  exponential growth

g(x);  exponential growth

h(x):  exponential growth

j(x):   exponential decay

Step-by-step explanation:

In an exponential function such as
\(m(x) = a \cdot b^x\)

the factor that determines whether it is a growth or decay function depends entirely on the value of b since x cannot be negative

If b > 1, it is a growth function

If b < 1 then it is a decay function

If b = 1 neither growth or decay function values are constant

In this context
f(x) has b = 2 > 1 . Hence it is a growth function
g(x) has b = 3 > 1 hence growth function
h(x) has be = 3/2 > 1; hence growth function
j(x) has be = 0.5 < 1 hence decay function

Answer:

O f(x)  :  exponential growth

O g(x);  exponential growth

O h(x):  exponential growth

O j(x):   exponential decay

Step-by-step explanation: I used to do this before :)

Mrs. Grubbs would get more cookie to eat by choosing the 4 smaller cookies with diameter 5 cm each rather than the single cookie with diameter 14 cm.

To compare the amount of cookie Mrs. Grubbs would get by eating a single cookie with diameter 14 cm and 4 smaller cookies with diameter 5 cm each, we need to consider the total area of the cookies.

The area of a cookie with diameter 14 cm can be calculated as follows:

A = πr^2 = π(7 cm)^2 = 49π cm^2

where r is the radius of the cookie.

On the other hand, the area of a single small cookie can be calculated as follows:

A1 = \(πr^2\) = \(π(2.5 cm)^2\)= \(6.25π cm^2\)

where r is the radius of the small cookie.

Therefore, the total area of 4 small cookies is:

A2 = 4A1 = \(4(6.25π cm^2)\) = \(25π cm^2\)

Comparing the two options, we see that the total area of the 4 small cookies is greater than the area of the single large cookie:

A2 > A

\(25π cm^2 > 49π cm^2\)

It's worth noting that this comparison assumes that the thickness or volume of the cookies is the same for both options. If the cookies have different thicknesses, then the comparison would need to take into account the volume of the cookies instead of just the area.

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Answer:

  independent: day number; dependent: hours of daylight

  d(t) = 12.133 +2.883sin(2π(t-80)/365.25)

  1.79 fewer hours on Feb 10

Step-by-step explanation:

a) The independent variable is the day number of the year (t), and the dependent variable is daylight hours (d).

__

b) The average value of the sinusoidal function for daylight hours is given as 12 hours, 8 minutes, about 12.133 hours. The amplitude of the function is given as 2 hours 53 minutes, about 2.883 hours. Without too much error, we can assume the year length is 365.25 days, so that is the period of the function,

March 21 is day 80 of the year, so that will be the horizontal offset of the function. Putting these values into the form ...

  d(t) = (average value) +(amplitude)sin(2π/(period)·(t -offset days))

  d(t) = 12.133 +2.883sin(2π(t-80)/365.25)

__

c) d(41) = 10.34, so February 10 will have ...

  12.13 -10.34 = 1.79

hours less daylight.

Answer:

C

Step-by-step explanation:

y-intercept represents the starting value, slope is the rate of change

slope is rise/run

Answer:

C is correct! :D

Step-by-step explanation:

Edge nuity 2021

Given:

Radius of circle is 4

Sol:.

In triangle ABC is a right angle triangle:

Use pythagoras theorem then:

Area of triangle is:

Perimeter of circle is:

Length of CDB is:

Perimeter of figure.

Area of figure.

Area of circle:

Area of CDB is:

Area of figure:

Perimeter of figure is 24.50 and area of figure 45.68.

So, Gina's farm produced approximately 471.8 tons of sweet potatoes this year. Rounded to the nearest whole number, this is 472 tons.

When we talk about an increase, we are referring to a change in quantity or value that is greater than the original amount. In other words, an increase means that something has gotten bigger, larger, or more than it was before.

Given by the question.

To find out how much sweet potatoes Gina's farm produced this year, we need to add 40% of last year's production to the amount produced last year:

40% of 337 tons = 0.4 x 337 = 134.8 tons

Adding this to last year's production gives:

337 + 134.8 = 471.8 tons

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The expression that is equal to the given Polynomial expression is (x^3-4)(2x+5).

The polynomial expression given is 2x^4+5x^3-8x-20. We have to identify the expression that is equal to this given polynomial expression.

We will factor the given polynomial expression to determine the equivalent expression. We can use factorization by grouping to factor the expression completely and determine the equivalent expression .

Factorization by grouping:

We can group the first two terms 2x^4 and 5x^3 together and factor out x^3 from them. We can also group the last two terms -8x and -20 together and factor out -4 from them.

This gives us;2x^4+5x^3-8x-20= x^3(2x+5)-4(2x+5) =(x^3-4)(2x+5)

Therefore, the expression that is equal to the given polynomial expression is (x^3-4)(2x+5).

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Answer:

3x+2x+a=180 degree(being linear pair)

5x+25=180

5x=180-25

x=155/5

x=31

Step-by-step explanation:

Answer:

It looks just fine! Well done!

It looks just fine! Well done!A bit more simply,

It looks just fine! Well done!A bit more simply,(A+C)(AD+AD)+AC+C=(A+C)AD+AC+C=AAD+CAD+AC+C=AD+(AD+A+1)C=AD+C

Step-by-step explanation:

Hope this helped

Answer:

\(a=\dfrac{5}{6}=0.83\:\: \sf (2\:d.p.)\)

\(c=\dfrac{13}{6}=2.17\:\:\sf(2\:d.p.)\)

Step-by-step explanation:

Tan trigonometric ratio

\(\sf \tan(\theta)=\dfrac{O}{A}\)

where:

Therefore, from inspection of the given triangle:

\(\implies \tan A=\dfrac{a}{b}\)

\(\textsf{If }\: \tan A=\dfrac{5}{12}\:\:\textsf{ and }\:\:b=2\:\:\textsf{then}:\)

\(\implies \dfrac{a}{2}=\dfrac{5}{12}\)

\(\implies 12a=5 \cdot 2\)

\(\implies 12a=10\)

\(\implies a=\dfrac{10}{12}\)

\(\implies a=\dfrac{5}{6}\)

Pythagoras Theorem explains the relationship between the three sides of a right triangle.

  \(a^2+b^2=c^2\)

where:

Substitute the value of b and the found value of a into the formula and solve for c:

\(\implies \left(\dfrac{5}{6}\right)^2+2^2=c^2\)

\(\implies \dfrac{25}{36}+4=c^2\)

\(\implies c^2=\dfrac{169}{36}\)

\(\implies c=\sqrt{\dfrac{169}{36}}\)

\(\implies c=\dfrac{\sqrt{169}}{\sqrt{36}}\)

\(\implies c=\dfrac{13}{6}\)

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Now

Then

Answer:

65 units

Step-by-step explanation:

solution Given:

apothem(a)=10

no of side(n)= 10

First, we need to find the length of one side (s).

We can find the length of one side using the following formula:

\(\boxed{\bold{s = 2 * a * tan(\frac{\pi}{n})}}\)

substituting value:

\(\bold{s = 2 * 10 * tan(\frac{\pi}{10})=6.498}\)   here π is 180°

Now

Perimeter: n*s

substituting value:

Perimeter = 10*6.498= 64.98 in nearest tenth 65 units

Therefore, the Perimeter of a regular decagon is 65 units.

Answer:

65.0 units

Step-by-step explanation:

A regular decagon is a 10-sided polygon with sides of equal length.

To find its perimeter, we first need to find its side length (s).

As we have been given its apothem, we can use the apothem formula to find an expression for side length (s).

\(\boxed{\begin{minipage}{5.5cm}\underline{Apothem of a regular polygon}\\\\$a=\dfrac{s}{2 \tan\left(\dfrac{180^{\circ}}{n}\right)}$\\\\where:\\\phantom{ww}$\bullet$ $s$ is the side length.\\ \phantom{ww}$\bullet$ $n$ is the number of sides.\\\end{minipage}}\)

Given the apothem is 10 units and the number of sides is 10, substitute a = 10 and n = 10 into the formula and solve for s:

\(10=\dfrac{s}{2 \tan \left(\dfrac{180^{\circ}}{10}\right)}\)

\(10=\dfrac{s}{2 \tan \left(18^{\circ}\right)}\)

\(s=20 \tan \left(18^{\circ}\right)\)

The perimeter (P) of a regular polygon is the product of its side length and the number of sides. Therefore, the perimeter of the given regular decagon is:

\(P=s \cdot n\)

\(P=20 \tan \left(18^{\circ}\right) \cdot 10\)

\(P=200 \tan \left(18^{\circ}\right)\)

\(P=64.9839392...\)

\(P=65.0\; \sf units\;(nearest\;tenth)\)

Therefore, the perimeter of a regular decagon with an apothem of 10 units is 65.0 units, to the nearest tenth.

Answer:

1,600 of the 2,000 significantly improved

Step-by-step explanation:

I will just show you the mathematics behind the question, but will leave the rest up to you:

We are trying to find what is 80% of the 2,000 people to see how many the ointment helped and not helped:

2000 x 0.8 = 1600, therefore the ointment helped 1,600 of the 2,000.

2000 - 1600 = 400, therefore the ointment did not help 400 of the 2,000.

I would guess that it is a valid conclusion, as 80% of 2,000 test helped, which would mean it most likely will help with most people.  But, if it was something like 80% of 10 people, that would almost be like random chance, but because 2,000 is a high number, it most likely does help.

Hope I helped :)

The correct pairings are:

a) Four less than the quotient of a number cubed and seven, increased by three: (n³/7) - 4 + 3

b) Five times the difference of a number squared and six: 5(n² - 6)

c) Nine more than the quotient of six and a number cubed, decreased by four: (6/n³) + 9 - 4

d) O twice the difference of nine and a number squared: 2(9 - n²)

The correct pairings of descriptions and expressions are as follows:

Four less than the quotient of a number cubed and seven, increased by three: (n³/7) - 4 + 3

This expression represents taking a number, cubing it, dividing the result by seven, subtracting four, and then adding three.

Five times the difference of a number squared and six: 5(n² - 6)

This expression represents taking a number, squaring it, subtracting six, and then multiplying the result by five.

Nine more than the quotient of six and a number cubed, decreased by four: (6/n³) + 9 - 4

This expression represents taking the cube of a number, dividing six by the cube, adding nine, and then subtracting four.

O twice the difference of nine and a number squared: 2(9 - n²)

This expression represents taking a number, squaring it, subtracting it from nine, and then multiplying the result by two.

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The fraction 3/2 divided by 4/5 represents C. Shanika's height.

A fraction is simply a piece of a whole. The number is represented mathematically as a quotient where the numerator and denominator are split. In a simple fraction, the numerator as well as the denominator are both integers.

The three main types of fractions are as follows. Proper fractions, inProper fractions, and mixed fractions are these three types. The terms with a numerator and a denominator are called fractions.

A fractional equation is one that contains one or more terms that are fractions. The first step in solving a fractional equation is to eliminate the fractions by multiplying both sides of the equation by the LCD of each term.

Here, the fraction for Lekika is 3/2 and this was given as 4/5 the height of Shanika. Therefore, fraction 3/2 divided by 4/5 represents Shanika's height. In conclusion, the correct option is C.

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Answer:

The answer is 132 square units

Step-by-step explanation:

Cutting the shape

we have two trapeziums

A=(area of small +Area of big)Trapezium

A=1/2(3+9)8 + 1/2(9+12)8

A=1/2×12×8 + 1/2×21×8

A=12×4 + 4×21

A=48+84

A=132 square units

Answer:

I have completed the answers and attached them to the explanation.

Step-by-step explanation:

Answer:

Step-by-step explanation:

The question asks for a subtraction expression:

length is always a positive number so bigger number first here.

OB = 4-(-1)              >only moves in x direction so subtract x's

AB = 4-(-2)             >only moves in y direction so subtract y's

Answer:

-2

Step-by-step explanation:

To find the mean, add all of the values together. With that sum, divide it by the amount of addends/values. In this case 3.

-8 + -1 + 3 = -6

-6/3= -2

hope this helps :D

Answer:

How heavy is a full grown black bear?

2-3 feet at the shoulders and weights average 150 -300 pounds, with females smaller than males; some male bears weighing 700-800 pounds have been documented.

Step-by-step explanation:

HOPE THIS HELPED ✨

The weight difference between a female black bear and a female key deer is 80 or lower.

a female black bear can weight up to 180 pounds while a female key deer can weight up to 100 pounds.

the weight difference between a male black bear and a male key deer is 510 pounds.

a male black bear can weigh up to 660 punds while a male key deer can weigh up to 150 pounds.

Answer:

x=3

Step-by-step explanation:

Hey there!

In order to solve this equation, we must first distribute the 3

3x + 9 = -4x + 30

Now we combine like terms

7x = 21

Then we divide both sides by 7 to get x by itself

x = 21/7

x = 3

Answer: x=3

Step-by-step explanation:

To solve the given equation, it means to find the value of x. We want to use inverse properties to isolate x. The inverse properties are add/subtract and multiply/divide. Be sure to use the corresponding inverse operation.

3(x+3)=-4x+30                 [distribute]

3x+9=-4x+30                    [add both sides by 4x]

7x+9=30                            [subtract both sides by 9]

7x=21                                 [divide both sides by 7]

x=3

Therefore, we get x=3.

The annual interest rate is 2%. Therefore, the correct answer is: B. The amount of money she will receive grows by 4% each year.

Compound interest is a type of interest that is calculated on the initial principal amount as well as on any accumulated interest from previous periods. In other words, it is interest that is earned not only on the initial amount of money, but also on the interest that has been earned previously.Compound interest is different from simple interest, which is calculated only on the initial principal amount and does not take into account any accumulated interest. Compound interest tends to result in higher returns over time because the interest earned in each period is added to the principal, leading to a larger base for earning interest in the next period.

The formula for compound interest with biannual compounding is:

A = P\((1 + r/2)^{2t}\)

where:

A = the amount of money Kristina will receive after x years

P = the principal amount lent ($10,000)

r = the annual interest rate (unknown)

t = the time in years (x)

Using the given function, we have:

A = 10000\((1 + 0.04/2)^{2x}\) = 10000\((1.02)^{2x}\)

Comparing this to the formula for compound interest with biannual compounding, we can see that r/2 = 0.04/2 = 0.02, which means the annual interest rate is 2%. Therefore, the correct answer is:

B. The amount of money she will receive grows by 4% each year.

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