sam had a yard sale. the next day he made a deposit with no cash back. he deposited 28 twenties, 18 tens, 32 fives, 20 ones, 18 quarters and checks for $22, $18.18 and $67.04. what was the amount of his deposit?

Answer:

the function y=5x+5

plug in the hours 4.5 for x

y=5(4.5)+5

=27.5kilometers

The poster has an area equal to 192.423 square inches.

In this problem we must determine the area of a heart shaped poster, that is, the combination of the areas of a square and two semicircles, whose resulting formula is introduced below:

A = D² + (π / 4) · D²

Where:

If we know that π = 3.14 and D = 7 in, then the area of the poster is:

A = 7² + (π / 4) · 7²

A = (5π / 4) · 7²

A = 192.423 in²

The area of the poster is equal to 192.423 square inches.

The image is missing and the statement is not well explained. A correct statement is shown below:

Sarah uses a square with side length of 7 inches and two semicircles with diameter of 7 inches to design a heart shaped poster. Find the area of the heart. Then, find the approximate area by using 3.14.

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Answer:

10 dollars

Step-by-step explanation:

he is racking in the money

The number of whole cup of milk that Charlene would use for all 8 packages would be = 8 cups of whole milk.

A square is a type of quadrilateral that has four sides with four angle 90° at each edge.

The number of chocolate square mixture Charlene would use for the party = 8 packages.

The number of packages that require a cup of milk = 1

Therefore the number of whole cups of milk that would be used for the whole 8 packages would be = 8×1 = 8 cups of whole milk.

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Answer: c

Step-by-step explanation:

A function cannot have repeated X value in a set

Answer:Convert from English to metric.

a. 1 foot = 304.8 millimeters

b. 40 lb-ft = 54.24 Newton/meters

Convert from metric to English.

a. 30 lb = 13.61 kilograms

b. 90.8 qt = 96.25 liters

26 m = 26,000,000 µm (micrometer)

60,000 cm = 600 m

8.275 L = 0.008275 kL

0.00349 km = 349 cm

Name the metric system unit that measures each of the following:

a. Light intensity - Candela

b. Mass - Gram

c. Pressure - Pascal

d. Electric current - Ampere

e. Distance - Meter

1,200 Ω = 1.2 kΩ (kilohm)

120 kΩ = 120,000 Ω (ohm)

3,500,000 Ω = 3.5 MΩ

6.03 MΩ = 6,030,000 Ω

0.000355 A = 355 µA (microampere)

0.000355 A = 0.355 mA (milliampere)

863 mV = 0.863 V (volt)

657 Ω = 0.657 kΩ (kilohm)

35 µA = 0.000035 A (ampere)

2.2 kΩ = 2200 Ω

500 kV = 500,000 MV (megavolt)

7,500,000 µA = 7.5 A (ampere)

What’s 30 percent of 150? = 45

What’s 25 percent of 2,300? = 575

Historically, the _______ was used as the basis for all measurements. = Human body

The number below the line in a fraction indicating the number of equal parts into which the unit is divided is the _______. = Denominator

In the English system, _______ is the traditional unit of pressure. = PSI (pounds per square inch)

The metric system is based on powers of _______. = 10

What unit is used for time in the metric system? = Second

20°C equals _______°F. = 68°F

45°F equals _______°C. = 7.2°C

The basic volume unit in the English measuring system is the _______. = Gallon

One ounce equals approximately _______ grams. = 28.35 grams

The value of d in the image that shows the two parallel lines that are crossed by the transversal is determined as: 125°.

In geometry, a transversal is a line that intersects two or more other lines at distinct points. When a transversal intersects a pair of parallel lines, it creates various angles and relationships between those angles.

The image attached below shows the two parallel lines which are crossed by the transversal, where angle d and 125° are vertical angles.

Since they are vertical angles, they will be equal or congruent to each other. Therefore, the value of d = 125°

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Answer:

below

Step-by-step explanation:

Answer:

5/3

Step-by-step explanation:

2 is 6/3

just type 6/3 instead of 2

6/3-1/3

5/3

Step-by-step explanation:

1.) Move the 5 to the other side of the equation

8y = -5x + 31

2.)

Divide by 8

y= .625x + 3.8

Answer:

5x + 8y = 31

8y = -5x + 31

y = -0,625x + 3,875

    y = mx + b

    m = slope

    b = intercept

y = -0,625x + 3,875

slope = -0,625

intercept = 3,875

Answer:

The rate of decay is 12% or .12

Step-by-step explanation:

Answer:

24 cm^3

Step-by-step explanation:

4x2x3=24

Answer:

2.2

Step-by-step explanation:

(1.85 x 2) - 1.50

...............

Answer:C

Step-by-step explanation:

A correlation of -0.97 is a strong negative correlation while a correlation of 0.10 would be a weak positive correlation

Answer:

C) strong negative.

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

Given that,

f(x) = 2x² - 3x + 7

To find the value of f ( 2.5 ), replace x with 2.5 and solve the equation.

Let us solve it now.

f(2.5) = 2(2.5)² - 3×2.5 + 7

f(2.5) = 12.5 - 7.5 + 7

f(2.5) = 12

Answer:

\(f(x) = 2 {x}^{2} - 3x + 7 \\ f(2.5) = 2 {(2.5)}^{2} - 3(2.5) + 7 \\ f(2.5) = 12.5 - 7.5 + 7 \\ \boxed{f(2.5) = 12}\)

I'm not sure but I'd say 31

Answer:

V = 460.68

Step-by-step explanation:

V=(lwh)/3

The amount of space or volume inside the box but outside the basketball is 6589.44 cm³.

We have to find the volume of the box and volume of the basketball to determine the space outside it.

Box is in rectangular shape.

Volume of the box = 24 × 24 × 24

                                = 13824 cm³

Basketball is spherical in shape.

Volume of the sphere = 4/3 π r³

                                     = 4/3 π (12)³

                                     = 2304π

                                     = 7234.56 cm³

Amount of space inside the box but outside the basketball is,

13824 cm³ - 7234.56 cm³ = 6589.44 cm³

Hence the required space is 6589.44 cm³.

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An order-preserving function is a function that preserves the order of its inputs. In other words, if x is less than y, then f(x) will be less than f(y).

The statement "f is order-preserving if x < y implies f(x) < f(y)" means that if x is less than y, then f(x) must be less than f(y). This is a necessary condition for a function to be order-preserving. However, it is not a sufficient condition. For example, the function f(x) = x^2 is not order-preserving, because 2 < 3, but f(2) = 4 > f(3) = 9.

In summary, order-preserving functions are useful in situations where we need to preserve the order of a set of data.

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we can interpret the value of   \(m'(12) = -15\) as the instantaneous rate of change of the amount of milk in the tanker truck, which is decreasing by 15 gallons per minute at time  \(t = 12\) minutes.

The expression "m'(12)" represents the derivative of the function m(t) with respect to time t, evaluated at t=12. Geometrically, the derivative represents the instantaneous rate of change of the function at the point t=12.

In this case, m'(12) = -15 means that at the time t=12 minutes, the rate of change of the number of gallons of milk in the tanker truck is -15 gallons per minute. This indicates that the amount of milk in the truck is decreasing at a rate of 15 gallons per minute at time t=12.

To calculate m'(12), you need to take the derivative of the function m(t) with respect to t and then evaluate the result at t=12. Assuming you have the expression for m(t), the steps are as follows:

Differentiate m(t) with respect to t:

\(m'(t) = d/dt [m(t)]\)

Evaluate  \(m'(t) at t=12:\)

\(m'(12) = m'(t=12)\)

Therefore, we can interpret the value of   \(m'(12) = -15\) as the instantaneous rate of change of the amount of milk in the tanker truck, which is decreasing by \(15\) gallons per minute at time t = 12 minutes.

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Answer:

55%

Step-by-step explanation:

He gave 1/5 + 1/4 to his friends which is equal to 9/20 = 45/100 = 45%

The rest he gave to his aunt. (100-45)% = 55%

The graph of the function \(f(x) = (9/4)x^2\) is a symmetric upward-opening parabola.

Overall, the graph represents a quadratic function with a positive leading coefficient, resulting in an upward-opening parabolic curve. The graph has been attached.

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The angle that the ramp makes with the ground is approximately 28.07 degrees.

If you know the lengths of two sides of a right triangle, you can use trigonometric ratios to calculate the measures of one (or both) of the acute angles.

Here,
The sin of the angle θ is the ratio of the opposite side (height of the ramp) to the adjacent side (length of the inclined portion of the ramp):

Sin(θ) = 8/17

We can use a calculator to find the inverse sin of this ratio to get the angle θ:

θ = sin⁻¹(8/17)

θ ≈ 28.07 degrees

Therefore, the angle that the ramp makes with the ground is approximately 28.07 degrees.

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The complete square form of - 3x² + 33 = 48x is [x + 8]² = 75

To do this, we add and subtract a constant term to the quadratic expression to make it a perfect square.

In this case, we use the formula x² + 2bx + b² = (x + b)² to rewrite the quadratic expression as a perfect square trinomial, and then we solved for the variable by isolating the squared term and taking the square root.

Here we have

- 3x² + 33 = 48x

Keep 'x' terms on one side and constant terms sides on another side

=> - 3x² - 48x = - 33

Divide by - 3 on both sides

=> -3(x² + 4x)/3 = - 33/3  

=> x² + 16x = 11      

Take half of the 'x' term and square it and add on both sides

=> x² + 2(8x) (x) + (8)² = 11 + (8)²  

Which is in the form of x² + 2bx + b² = (x + b)²

=> [x + 8]² = 75

Therefore,

The complete square form of - 3x² + 33 = 48x is [x + 8]² = 75

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The rational function graphed in this problem is defined as follows:

y = -2(x - 1)/(x² - x - 2).

The vertical asymptotes of the rational function for this problem are given as follows:

x = -1 and x = 2.

Hence the denominator of the function is given as follows:

(x + 1)(x - 2) = x² - x - 2.

The intercept of the function is given as follows:

x = 1.

Hence the numerator of the function is given as follows:

a(x - 1)

In which a is the leading coefficient.

Hence:

y = a(x - 1)/(x² - x - 2).

When x = 0, y = -1, hence the leading coefficient a is obtained as follows:

-1 = a/2

a = -2.

Thus the function is given as follows:

y = -2(x - 1)/(x² - x - 2).

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Answer:

First derivative the equation

39x²-318x-412=0

then use the quadratic formula

then x = 9.29 or x = -1.14

Answer:

Correct option is

D

(0, 0)

Form the graph, we can see that solution is (0,0).

or

The point of intersection of lines y = 3x and x = 3y must satisfies both the equation.

From the options (0,0) satisfies both the equations, hence the point of intersection of given lines is at origin i.e. (0,0).

Answer:

Step-by-step explanation:

At the point of intersection, x+3 = 3x-3

6=2x

x = 3

y = x+3 = 6

The Reflexive Property is a property of equality that states that anything is equal to itself. This property is true for numbers, shapes, angles, and more.

In the context of geometry, the Reflexive Property of Congruence states that any geometric figure is congruent to itself. This includes angles, segments, triangles, and other polygons.

So, when you see "<J ≅ <J", it's saying that angle J is congruent to angle J, which is an application of the Reflexive Property. In other words, any angle is congruent (equal in measure) to itself.

Answer:

Excise tax

Step-by-step explanation:

Correct me if I'm wrong <3

A. Equation for future value: A = P ( 1 + r / n )^(nt)

B.  Equation: $399.00 = $240.00 ( 1 + 0.06 / 12 )^(12t)

C.  The value  of the expression inside the parentheses: 1.005

D.  The number of years is t=8.4932

E.  It will take to save what you need 8 years and 6 months.

Compound interest is when you earn interest on both the money you've saved and the interest you earn.

Formula:

A = P(1 + {r}/{n})^{n.t}

here, we have,

A. Write the equation for future value (amount) of a savings account with compound interest compounded multiple times per year. Write it with vertical fractions or use parentheses correctly if you type it horizontally. Use the variables A, P, r, n, and t, and explain what each of the variables represent.

Future Value: A=$399.00

Present Value: P=$240.00

APR=Annual Percentage rate=Annual interest rate: r=6%=6/100→r=0.06

Number of compounding periods per year: n=12 (compounded monthly: 12 periods per year)

Time in years: t=?

A = P ( 1 + r / n )^(nt)

B. Write the equation again substituting in the values from the problem above. Make sure that the value that you use for "r" is correct.

Substituting the given values in the formula of part A:

$399.00 = $240.00 ( 1 + 0.06 / 12 )^(12t)

C. What is the value of the expression inside the parentheses? Give your result to at least 7 to 9 decimal places if needed, unless it comes out exact to fewer places.

Expression inside the parentheses:

1 + 0.06 / 12 = 1 + 0.005 →

1 + 0.06 / 12 = 1.005

D. Solve this equation for "t" showing all your work. State the solution as a decimal value of t to 4 decimal places. (This is the number of years).

 $399.00 = $240.00 ( 1.005 )^(12t)

Dividing both sides of the equation by $240.00

  $399.00 / $240.00 = $240.00 ( 1.005 )^(12t) / $240.00

1.6625 = ( 1.005 )^(12t)

Applying log both sides of the equation:

log (1.6625) = log ( 1.005 )^(12t)

Using that log a^b = b log a, with a=1.005 and b=12t:

log (1.6625) = 12t log (1.005)

Dividing both sides of the equation by 12 log (1.005):

log (1.6625) / [12 log (1.005)] = 12t log (1.005) / [12 log (1.005)]

log (1.6625) / [12 log (1.005)] = t

t =  log (1.6625) / [12 log (1.005)]

log (1.6625) = 0.220761654

log (1.005) = 0.002166062

t = 0.220761654 / [12 (0.002166062)]

t = 0.220761654 / 0.025992744

t = 8.493203103

Rounding to 4 decimal places:

t = 8.4932 years

E. Convert this number to years and months. State the number of years and months it will take to save what you need. Round to the nearest whole month. REMEMBER: 12 months per year!

t = 8.4932 years

t = 8 years + 0.4932 years

t = 8 years + 0.4932 years * (12 months / year)

t = 8 years + 5.9184 months

t = 8 years 5.9184 months

Rounding to the nearest whole month:

t = 8 years 6 months

It will take to save what you need 8 years and 6 months.

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