Ada realized she had 2 more quarters than she had originally thought in her pocket, if all of the change in his quarters and it totals to $8.75. how many quarters did he originally think we're in his pockets?​

Answer:

B. 11

Step-by-step explanation:

√380.13/pi = 10.99, Round: 11

Answer:

Step-by-step explanation:express the 15% as a fraction divided by 100.Multiply the result by $9000.

The result is $ 1350

Subtract the result from new price of the car.$9000-$1350

=$7650

The measure of segment HI is given as follows:

HI = 7.

The measure of segment HI for this problem are obtained considering the triangle midsegment theorem, which states that the length of the midsegment of the triangle is equals to half the length of the base, hence the base has the length that is twice the midsegment.

The lengths are given as follows:

Hence the value of x is obtained as follows:

EF = 2HI

-21 + 5x = 2(-9x + 70)

-21 + 5x = -18x + 140

23x = 161

x = 7.

Hence the length HI is given as follows:

HI = -9(7) + 70

HI = 7.

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The length of side m is, 5.1 inches.

A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.

Given that;

In ΔMNO,

⇒ o = 8 inches, m ∠M = 28° and m ∠O = 48°.

Now, Let the length of side m = x

So, By sine rule, we get;

[tex]\rightarrow \sf \dfrac{sin \ M}{m} = \dfrac{Sin \ O}{o}[/tex]

Substitute all the values, we get;

[tex]\sf \rightarrow \dfrac{sin \ 28^\circ}{x} = \dfrac{sin \ 48^\circ}{8}[/tex]

[tex]\sf \rightarrow \dfrac{0.47}{x} = \dfrac{0.74}{8}[/tex]

[tex]\sf \rightarrow x=\dfrac{ 0.47 \times 8}{0.74}[/tex]

[tex]\sf x = 5.08\thickapprox 5.1 \ inches[/tex]

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The polynomial function in factored form with roots x = 7, x = -10, and x = 3, each with a multiplicity of 1, is  [tex]f(x) = x^3 - 76x + 210.[/tex]

To write a polynomial function in factored form with the given roots, we can use the factored form equation:

f(x) = (x - r1)(x - r2)(x - r3)...

Where r1, r2, r3 represent the roots of the polynomial.

Given the roots x = 7, x = -10, and x = 3, we can write the factored form equation as:

f(x) = (x - 7)(x + 10)(x - 3)

Expanding this equation will give us the polynomial function in factored form:

[tex]f(x) = (x - 7)(x + 10)(x - 3)[/tex]

[tex]= (x^2 - 7x + 10x - 70)(x - 3)[/tex]

[tex]= (x^2 + 3x - 70)(x - 3)[/tex]

[tex]= x^3 - 3x^2 + 3x^2 - 9x - 70x + 210[/tex]

[tex]= x^3 - 76x + 210[/tex]

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The area of the logo 1 in square feet is  38.465 ft²

Remember that the area of a circle of radius R is given by the formula:

A = 3.14*R²

Here we can see that the radius of the circle is (1/2 in), but we wat the are in square feet, so let's write that in feets.

1 in = 7ft, then:

(1/2 in) = (7/2 ft) = 3.5 ft.

Replace that in the formula for the area:

A = 3.14*(3.5 ft)²

A = 38.465 ft²

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Answer:

  125/384 ≈ 0.32552

Step-by-step explanation:

You want the area between the curves y = 5x and y = 8x².

The difference between the curves is ...

  f(x) = 5x -8x² = x(5 -8x)

This difference is zero when ...

  x = 0

  5 -8x = 0   ⇒   x = 5/8

The area will be the integral of f(x) with the limits 0 and 5/8:

  [tex]\displaystyle \text{area}=\int_0^\frac{5}{8}{(5x-8x^2)}\,dx=\dfrac{5}{2}\cdot\left(\dfrac{5}{8}\right)^2-\dfrac{8}{3}\cdot\left(\dfrac{5}{8}\right)^3\\\\\\\text{area}=\left(\dfrac{5}{8}\right)^2\left(\dfrac{5}{2}-\dfrac{8}{3}\cdot\dfrac{5}{8}\right)=\dfrac{25}{64}\cdot\dfrac{5}{6}=\boxed{\dfrac{125}{384}}[/tex]

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Answer:

d

Step-by-step explanation:

To calculate the average budget across the four quarters, we need to add the budget for each quarter and divide by 4:

Average budget = (5623 + 5892 + 6382 + 5325) / 4 = 5805.5

Next year's estimated budget is £6,032 per quarter.

To calculate the percentage difference, we can use the following formula:

Percentage difference = (new value - old value) / old value x 100%

Percentage difference = (6032 - 5805.5) / 5805.5 x 100% = 3.9%

Therefore, the answer is (d) 3.9%.

The time needed before the doctor administers the medication again is given as follows:

d) 22.2 hours.

The exponential function giving the amount of the medicine in the patient's bloodstream after t hours is given as follows:

[tex]A(t) = 500(0.93)^t[/tex]

The medication will be applied when the amount is given as follows:

A(t) = 100.

Hence the time needed is obtained solving the exponential function as follows:

[tex]100 = 500(0.93)^t[/tex]

[tex](0.93)^t = \frac{100}{500}[/tex]

[tex](0.93)^t = 0.2[/tex]

The logarithm of base 10 is the inverse of the exponential, hence:

[tex]t = \frac{\log{0.2}}{\log{0.93}}[/tex]

t = 22.2 hours.

Which is the time needed before the doctor administers the medication again.

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To determine the optimal number of matted and unmatted pictures to maximize the company's profit, we can set up a linear programming problem.

Let's denote:

- x: the number of matted pictures

- y: the number of unmatted pictures

The objective is to maximize the profit, which can be expressed as:

Profit = 40x + 35y

We need to consider the following constraints:

1) The number of pictures completed each day cannot exceed 36:

x + y ≤ 36

2) The total man-hours of labor cannot exceed 80:

4x + 2y ≤ 80

3) The number of pictures cannot be negative:

x, y ≥ 0

Now we can solve this linear programming problem to find the optimal values for x and y.

First, let's graph the feasible region defined by the constraints:

```

x + y ≤ 36

4x + 2y ≤ 80

x, y ≥ 0

```

The feasible region is the area of the graph that satisfies all the constraints.

Next, we need to evaluate the objective function (Profit = 40x + 35y) at the vertices of the feasible region to find the maximum profit.

We can use different methods such as the corner-point method or the simplex method to determine the vertices and evaluate the profit at each vertex.

Thus, once we find the vertex that yields the maximum profit, we will have the optimal values for x and y.

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Answer:

Step-by-step explanation:

Ok so, as given in the table, the cost of the 3rd tank is 800$, we can thus determine the cost of 1 cubic inch for a tank and use that to determine the cost of the other tanks.

[tex]volume =L\times W\times H\\=24\times 24\times 24\\=13824 in^3[/tex]

thus, to compute the cost of one cubic inch, we can divide the cost by the volume of the 3rd tank (in cubic inches)

[tex]\frac{800}{13824}=0.0579[/tex] [tex]usd/in^3[/tex]

now, we can determine the dimensions of the second tank that will make it cost 150$

[tex]0.0579\times 18\times W\times 24=150[/tex]

[tex]W=\frac{150}{0.0579\times 18\times 24} =6 in.[/tex]

Now to determine the cost of the first tank, we can multiply its volume by the cost per cubic inch:

[tex]cost=0.0579\times36\times 36\times 36=2700[/tex]$

As of question B, the cost will increase as the width increases.

For Question C, we can find the volume of the sphere by the formula:

[tex]volume=\frac{4}{3}\pi r^3 =\frac{4}{3}\pi \times 24^3=57905 in^3[/tex]

To find the cost of that tank, we just multiply its volume by the cost per unit volume:

[tex]cost=57905\times 0.0579=3352[/tex]$ (roughly)

Answer:

To find the sum of (-2.1x + 3.7) and (5 + 4.9x), we need to add the like terms (terms with the same variable and exponent). In this case, the x term is the like term. Therefore:

(-2.1x + 3.7) + (5 + 4.9x) = -2.1x + 4.9x + 3.7 + 5

Combining like terms, we get:

(-2.1x + 4.9x) + (3.7 + 5) = 2.8x + 8.7

Therefore, the sum of (-2.1x + 3.7) and (5 + 4.9x) is 2.8x + 8.7.

So, the answer is: 2.8x+8.7.

Step-by-step explanation:

Solution 2:

The correct answer is 2.8x+8.7.

Here's the solution:

(-2.1x +3.7) + (5 + 4.9x) =

-2.1x + 3.7 + 5 + 4.9x =

-2.1x + 4.9x + 3.7 + 5 =

2.8x + 8.7: answer

The final transformed graphs are 1) f'(x) = (1/2)|x + 1| + 3, 2) f'(x) = -√x + 1 and 3) f'(x) = -√x - 2.

1. Break down the transformations step by step.

Start with the function f(x) = |x|.

a. Shrink vertically by a factor of 1/2: Multiply the function by 1/2.

g(x) = (1/2)|x|.

b. Shift to the left 1 unit: Replace x with (x + 1).

h(x) = (1/2)|x + 1|.

c. Shift upward 3 units: Add 3 to the function.

f'(x) = (1/2)|x + 1| + 3.

Therefore, the equation for the final transformed graph is f'(x) = (1/2)|x + 1| + 3.

2. Start with the function f(x) = √x.

a. Reflect in the x-axis: Multiply the function by -1.

g(x) = -√x.

b. Shift 1 unit upward: Add 1 to the function.

f'(x) = -√x + 1.

Therefore, the equation for the final transformed graph is f'(x) = -√x + 1.

3. Start with the function f(x) = √x.

a. Reflect in the y-axis: Multiply the function by -1.

g(x) = -√x.

b. Shift 2 units down: Subtract 2 from the function.

f'(x) = -√x - 2.

Therefore, the equation for the final transformed graph is f'(x) = -√x - 2.

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The statement that describes the type of solutions of the specified  equation is the third option C.;

C. The equation has two valid solutions and no extraneous solutions

A solution to an equation are values of the variables of the equation that make the equation true.

The possible equation obtained from a similar question on the website can be presented as follows;

4/(3·x + 1) = x/(2·x + 10)

The above equation expressions can be combined into a quadratic equation as follows;

4 × (2·x + 10) = x × (3·x + 1)

8·x + 40 = 3·x² + x

3·x² + x - 8·x - 40 = 0

3·x² - 7·x - 40 = 0

3·x² - 15·x + 8·x - 40 = 0

3·x·(x - 5) + 8·(x - 5) = 0

(3·x + 8)·(x - 5) = 0

x = -8/3 and x = 5

Therefore, the equation has two valid solutions and no extraneous solutions

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Answer:

6 hours

Step-by-step explanation:

So therefore,

4 roofers= 1 hour

1 roofer= 9 * 4

= 36 hours

6 roofers= 36/6=6 hours

Answer:

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

Given:

Convert the interest rate to a decimal:

Convert the time from months to years:

Now, we can calculate the simple interest using the formula:

Finally, add the interest to the principal to find the amount due:

Susan's amount due for the loan is $1047.50.

The simple interest amount of Susan for time of 8 months is A = $ 1047.50

Given data ,

To calculate the amount due, we need to consider the principal amount borrowed, the interest rate, and the time period.

Principal (P) = $1000

Time (t) = 8 months

Interest rate (r) = 7 1/8% per annum

First, we need to convert the interest rate from a percentage to a decimal. To do this, we divide the given rate by 100:

r = 7 1/8% = 7.125% = 7.125/100 = 0.07125 (decimal)

Next, we can calculate the simple interest using the formula:

Simple Interest (I) = Prt

I = $1000 x 0.07125 x (8/12)

I = $1000 x 0.07125 x (2/3)

I = $47.50

Finally, to find the amount due, we add the principal amount to the simple interest:

Amount Due = Principal + Simple Interest

Amount Due = $1000 + $47.50

Amount Due = $ 1047.50

Hence , the amount is A = $ 1047.50

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Sorry for bad handwriting

if i was helpful Brainliests my answer ^_^

hello

the answer is:

1)

Sin 28° = x/19 ----> x = 8.91 or 9

2)

tan 41° = x/32 ----> x = 27.8 or 28

3)

Cos 21° = x/26 ----> x = 24.2 or 24

4)

Cos 55° = 8/x ----> x = 13.9 or 14

5)

Sin 33° = 15/x ----> 27.57 or 28

6)

Cos 43° = 36/x ----> x = 49.2 or 49

7)

tan 72° = 25/x ----> x = 8.12 or 8

8)

Cos 64° = x/11 ----> x = 4.81 or 5

The rocket's maximum height is 800 feet. It reached its maximum height at 5 seconds after launch.

To solve this problem, we need to find the vertex of the parabola represented by the equation Y= -16t^2+160t. The vertex of a parabola is the point where the parabola changes direction, from increasing to decreasing or vice versa.

The vertex of the parabola is given by the following formula:

(-b/2a, c - b^2/4a)

In this case, the value of b is 160 and the value of a is -16. Plugging these values into the formula, we get the following:

(-160/2(-16), 800 - 160^2/4(-16))

(5, 800)

Therefore, the rocket reached its maximum height at 5 seconds after launch. The maximum height is 800 feet.

Candidate A would win the election using the plurality method.

According to the given preference schedule, the number of votes and the corresponding preferences are as follows:

Candidate A: 15 (1st preference: A, 2nd preference: D, 3rd preference: B)

Candidate B: 11 (1st preference: D, 2nd preference: C, 3rd preference: A)

Candidate C: 9 (1st preference: B, 2nd preference: C, 3rd preference: A)

Candidate D: 6 (1st preference: C, 2nd preference: D, 3rd preference: A)

Candidate E: 2 (1st preference: C, 2nd preference: D)

To determine the winner using the plurality method, we look at the candidate with the highest number of first preference votes.

In this case, Candidate A has 15 first preference votes, which is the highest.

Therefore, Candidate A would win the election using the plurality method.

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UIF at 1% of the basic salary is R234.

The actual dimension of the kitchen on the floor is 0.036 meters.

2.2.1. UIF stands for Unemployment Insurance Fund.

2.2.2. To calculate UIF at 1% of the basic salary, we multiply the basic salary by 1%:

UIF = 1% of Basic Salary

= 1/100 x Basic Salary

Given that the Basic Salary is R23,400, we can calculate UIF:

UIF = 1/100 x 23,400

= 234

Therefore, UIF at 1% of the basic salary is R234.

2.2.3. One benefit of contributing UIF by the employee is that it provides financial protection against unemployment. If an employee becomes unemployed, they may be eligible to receive UIF benefits, which can provide temporary financial support during the period of unemployment.

2.2.4. Unfortunately, the values of B and C are not provided in the given information. If you provide the values, I can assist you with determining them.

3.1.1. The scale used is 1:100.

3.1.2. If the dimension (length) of the kitchen on the plan is 3.6 cm, to determine the actual dimension in meters, we need to scale it up by the scale factor:

Scale factor = 1/100 (since it's a 1:100 scale)

Actual dimension = Dimension on the plan x Scale factor

= 3.6 cm x (1/100)

= 0.036 meters

Therefore, the actual dimension of the kitchen on the floor is 0.036 meters.

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The equation of the circle with center (-4, 4) and passing through (-2, 4) is [tex](x + 4)^2 + (y - 4)^2 = 4.[/tex]

We have,

To determine the equation of a circle, we need the center coordinates and the radius. The center coordinates are given as (-4, 4), and we have a point on the circle as (-2, 4).

The distance between the center (-4, 4) and the point on the circle (-2, 4) represents the radius of the circle.

Using the distance formula.

[tex]radius = √[(x_2 - x_1)^2 + (y_2 - y_1)^2]\\= \sqrt{(-2 - (-4))^2 + (4 - 4)^2}\\= \sqrt{2^2 + 0^2}\\= \sqrt{4}\\= 2[/tex]

Now that we have the center coordinates (-4, 4) and the radius 2, we can write the equation of the circle in standard form:

[tex](x - h)^2 + (y - k)^2 = r^2[/tex]

Substituting the values:

[tex](x - (-4))^2 + (y - 4)^2 = 2^2\\(x + 4)^2 + (y - 4)^2 = 4[/tex]

Therefore,

The equation of the circle with center (-4, 4) and passing through (-2, 4) is [tex](x + 4)^2 + (y - 4)^2 = 4.[/tex]

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The measure of each missing indicated side of the triangle would be given as follows;

1.) X = 2.7

2.) X = 15.2

For question 1.)

Using the sine formula such as given below;

a/sinA = b/sin B

where ;

a = X

A = 27°

b = 6

B = 90°

That is;

X/sin27° = 6/sin90°

X = 6×0.453990499/1

= 2.7

For question 2.)

a/sinA = b/sin B

where ;

a = X

A = 47.4°

b = 14

B = 180-(47.4+90)

= 180-137.4

= 42.6

That is;

X/sin47.4° = 14/sin42.6°

X = 14×0.736097087/0.676875969

= 10.305359218/0.676875969

= 15.2

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The volume of the two prisms compares that the volume of prism B will double.

We are given that side length of the cube measured 18 inches in length. She built another prism (Prism B) with the same dimensions as the cube, except she doubled its height.

When the prism is such that if we slice it horizontally at any height smaller or equal to its original height, the cross-section is same as its base, then its volume is:

V = B x h

So, the volume of the two prism A= V = B x h

V = 18 x h = 18h

the volume of the two prism B= V = B x h

V = 18 x 2h = 36h

So, the volume of prism B will double thus the correct option is B.

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The complete question is;

Anna built a prism (Prism A) out of a cube of wood. The side length of the cube measured 18 inches in length. Anna built another prism (Prism B) with the same dimensions as the cube, except she doubled its height.

How does the volume of the two prisms compare?

The volume of prism B will triple.

The volume of prism B will double.

The volume of prism B will decrease.

The volume of prism B will be cut in half.

The exact value of cos theta if the terminal side of theta in standard position contains the point (6,-8) is, 3 / 5

We have to given that;

the terminal side of theta in standard position contains the point (6,-8)

Hence, For given condition we get;

The exact value of cos theta if the terminal side of theta in standard position contains the point (6,-8) is,

Here, x = 6, y = - 8

Hence, We get;

r = √x² + y²

r  = √6² + 8²

r = √36 + 64

r = √100

r = 10

So, The exact value of cos theta if the terminal side of theta in standard position contains the point (6,-8) is,

cos θ = x / r

cos θ = 6 / 10

cos θ =  3 / 5

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Answer:

360

Step-by-step explanation:

80*5=400 and .25*400=100 so it costs 300 for five nights without tax, and adding on the tax raises the cost to 60 (300+(.2*300)=360)

The period of the trigonometric function in this problem is given as follows:

A) 540º.

The standard definition of the sine function is given as follows:

y = Asin(B(x - C)) + D.

For the tangent function, we have that it is similar to the sine function, that we use tan() instead of sin().

For which the parameters are given as follows:

The coefficient B for the equation is given as follows:

B = 2/3.

Hence the period of the function is given as follows:

2π/(2/3) = 3π = 540º.

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