Josiah invests $360 into an account that accrues 3% interest annually. Assuming no deposits or withdrawals are made, which equation represents the amount of money in Josiah’s account, y, after x years?

Answer:

Step-by-step explanation:

x / 2.25 seconds = 28 times / 12 seconds

multiply by sides by 2.25 seconds

x / 2.25 seconds * 2.25 seconds = 28 times / 12 seconds * 2.25 second

x = 2.3333333  times/ second * 2.25 seconds

x = 5.8333

Answer:

315 times

Step-by-step explanation:

We know that the friend can clap his hands 28 times in 12 seconds. First, we need to know how many times can he clap his hands in 1 second:

To do it we have to divide the times he can clap his hands by the time in seconds:

28/12 = 2.333333

He can clap his hands 2.333333 times in 1 second:

Now we want to know how many times will he clap his hands in 2.25 minutes

We have to change 2.25 minutes into seconds:

1 (minute) = 60 (seconds in 1 minute)

2.25 (minutes) * 60 (seconds in 1 minute) = 135 seconds

After we get the seconds he is going to clap his hands, we have to multiply the times he claps times the seconds:

2.3333333 times * 135 seconds = 315

315 times in 2.25 minutes

Answer:

Required additive inverse is [tex]-7-5i[/tex].

Step-by-step explanation:

Given number is [tex]-7+5i[/tex].

Now we need to find about what is that additive inverse of the given number [tex]-7+5i[/tex].

We know that if complex number is [tex]a+bi[/tex] then it's additive inverse is given by [tex]a-bi[/tex].

Basically we need to change the sign of imaginary term.

imaginary term in given number [tex]-7+5i[/tex] is +5i.

Changing sign of +5i gives -5i.

Hence required additive inverse is [tex]-7-5i[/tex].

Option: A is the correct answer.

The quadratic equation that fits these data is:

            A.   [tex]y=2.09x^2+0.33x+3.06[/tex]

We are given a table of values as:

    x          y

    -4        35

    -3        20

    -2         12

    -1           6

    0           2

     1           6

     2          10

     3          24

     4          38

From the given data values we see that the points follow a parabolic path this means that the line of best fit will has a quadratic equation.

Also, the line that best represents these data points as is done by the regression calculator is:

                A.   [tex]y=2.09x^2+0.33x+3.06[/tex]

The function can be written as g(x)=(x+15/2)^2 +(-9/4)

Some quadratic equations are difficult to factor and are not presented in a way that enables us to apply the square root property right away. However, by "completing the square," we may transform the quadratic formula into a perfect square trinomial. The square root property is then used to factor the trinomial and answer the equation.

How to Complete the Square in Equations to Solve the Problem

1. Transform the original equation into x2 + bx = c.

2. Add the term required to complete the square to both sides.

3. Factor the trinomial with a perfect square.

4. Apply the square root property to the resulting equation

If x2 + bx is a binomial, then adding  will result in a perfect square trinomial.   is the square of half the coefficient of the linear x.  

A perfect square trinomial can be factored, so the equation can then be solved by taking the square root of both sides.

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Answer:

g(x)=(x+15/2)^2 +(-9/4)

Step-by-step explanation:

hence y is 7 ,x is 1/7

hope it helps you

Answer:

B

Step-by-step explanation:

A parabola is symmetric about the vertex point. The x-coordinate of the vertex is 4.6.

So the parabola has 1 intersection point at x = 0 (origin as shown) and the line of symmetry is at x = 4.6. That is, from 0 to 4.6, it is 4.6 units. Hence, the other intersection point at the x-axis should be from 4.6 to 4.6 units to the right.

Hence, 4.6 + 4.6 = 9.2

The x-intercept would be (9.2, 0)

Correct answer is B

Answer:

16

Step-by-step explanation:

So the number of tulips (t) plus the number of daffodils (d) should equal up to 20. So if we write that as an equation, it would t + d = 20. So now we have to find what two numbers could add up to 20, but let's not forget that the number of daffodils is equal to the square root of the number of tulips.

So now we have to find a number when added to its square root is 20. So going by process of elimination, you can eliminate 5 because the square root of that is a decimal and 5 plus a decimal isn't going to add up to 20. You know you can eliminate 20 because it already reaches the limit with the number of tulips, not allowing enough room for daffodils. You can eliminate 4 because the square root of that is 2, and 4 + 2 = 6, not 20.

So that leaves 16... The square root of 16 is 4, because 4 divided by itself twice equals 16. Now, let's add them and see if it equals 20. 16 tulips + 4 daffodils = 20. So 16 is your answer.

Sorry I am bad at explaining things, but I hope this helps anyway!

Answer:

Option B is the correct answer.

Step-by-step explanation:

She used x tulips and some daffodils in the bouquet.

The number of daffodils is equal to the square root of the number of tulips.

[tex]\texttt{Number of daffodils = }\sqrt{x}[/tex]

The total number of flowers in the bouquet is 20

That is

             [tex]x+\sqrt{x}=20[/tex]

Solving

         [tex]x+\sqrt{x}=20\\\\\sqrt{x}=20-x\\\\x=(20-x)^2\\\\x=400-40x+x^2\\\\x^2-41x+400=0\\\\(x-25)(x-16)=0\\\\\texttt{x=25 or x = 16}[/tex]

Total number is less than 20 so 25 is not possible

Number of tulips used = 16

Option B is the correct answer.

Answer:

Choice B is correct

Step-by-step explanation:

The normal distribution has extensive applications in statistics. The distribution is characterized by a symmetric bell-shaped density curve. Most of the observations or data points fall in the middle of the distribution while both the right and left tails are equally longer.

The histogram that can be approximated by a normal distribution must meet the above conditions.

The histogram in alternative A is skewed to the right since most of the values fall in the lower end of the distribution. A skewed distribution is not symmetric.

The histogram in choice C is approximately uniformly distributed since most of the observed values have an approximately equal frequency. Each of the values is approximately equally likely. The uniform distribution is not symmetric.

The histogram in D follows no know pattern and nevertheless it lacks the symmetric property.

The histogram in B is approximately symmetric in distribution since most of the observed data values fall in the middle of the distribution while the left and right tails are nearly equal. This histogram can thus be approximated by a normal distribution.

Answer:

132 calories in a bowl that holds 2 servings

Step-by-step explanation:

In order to find what 1 serving equals, you have to divide 858 by 13 and you get 66, but since the bowl holds 2 servings you have to multiply 66 by 2 and you get 132

Answer:

78

Step-by-step explanation:

Subtract 2 serving out of 13 and the then divide 858 by the number.

Answer:

520

Step-by-step explanation:

Is means equals and of means multiply

78 = 15% * W

Change to decimal form

78 = .15 *W

Divide by .15 on each side

78/.15 = .15W/.15

520 = W

Answer:

520

Step-by-step explanation:

78/0.15 = 520

Answer:

The measure of angle k is (1/2)(140°) = 70°.

Answer:= 1.599 × 107

Step-by-step explanation:

here you go

For this case we must find the inverse of the following function:

[tex]f (x) = 8 \sqrt {x}[/tex]

For this, we follow the steps below:

We change f (x) to y:

[tex]y = 8 \sqrt {x}[/tex]

We exchange the variables:

[tex]x = 8 \sqrt {y}[/tex]

We solve for y:

[tex]8 \sqrt {y} = x[/tex]

We divide between 8 on both sides of the equation:

[tex]\sqrt {y} = \frac {x} {8}[/tex]

We raise both sides of the equation to the square to remove the root:

[tex]y = (\frac {x} {8}) ^ 2\\y = \frac {x ^ 2} {64}[/tex]

So, the inverse is:[tex]f ^ {- 1} (x) = \frac {x ^ 2} {64}[/tex]

ANswer:

Option C

Answer:

24, 32, 40 can be the lengths of the three sides of a right triangle

Step-by-step explanation:

Pythagoras theorem:

c^2 = a^2 + b^2

40^2 = 1,600

32^2 + 24^2 = 1024 + 576 = 1,600

If the square of the length of the hypotenuse (longest side length)  is equal to the sum of the squares of the lengths of the other two sides then it's a right triangle

So

40^2 = 32^2 + 24^2

1,600 = 1,600

24, 32, 40 can be the lengths of the three sides of a right triangle

Answer:

16.629

Step-by-step explanation:

Start by setting up the numbers like the first picture. The borrow. To borrow we have to go the whole way over to the 7 since you can't borrow from 0. So the 7 becomes a 6 and the 0 becomes  10. Then the 10 becomes a 9 and the 0 becomes a 10. Then the 10 becomes a 9 and the 3 becomes a 13. Then subtract. Just bring the decimal point down.

the answer is B because you will add and subtract each element with it's corresponding one

The result of this operation is option B. This is obtained by using matrix addition and subtraction.

Adding and subtracting the terms of the matrix since these are matrices with same order. Hence we get,

[tex](\left[\begin{array}{ccc}13&10&7\\6&8&1\\2&5&0\end{array}\right] -\left[\begin{array}{ccc}3&-2&6\\14&-6&11\\8&-12&9\end{array}\right] ) +\left[\begin{array}{ccc}6&10&15\\10&0&9\\1&0&7\end{array}\right][/tex]

= [tex]\left[\begin{array}{ccc}10&12&1\\-8&14&-10\\-6&17&-9\end{array}\right] +\left[\begin{array}{ccc}6&10&15\\10&0&9\\1&0&7\end{array}\right][/tex]

=[tex]\left[\begin{array}{ccc}16&22&16\\2&14&-1\\-5&17&-2\end{array}\right][/tex]

Thus the required matrix is option B.

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Answer:

C

Step-by-step explanation:

We can see that there is a closed dot and the function is going left and it is a cubic function.

Additionally, the only one with a [tex]x^3+n\leq 2[/tex] inequality is C.

Answer:

help me first

Step-by-step explanation:

Answer:

200.96

Step-by-step explanation:

First, divide 50.24 by the pi (3.14)

50.24 / 3.14 = 16

Second, divide 16 by two (so that the radius is found).

16 / 2 = 8

Now that we have the radius length, solve for the area.

area of circle = πr^2

Area of circle = (3.14) (8^2)

Area of circle = 3.14 x 64

Area of circle = 200.96

Answer:

Next term doubles

Hope this helps :)

Have a great day !

5INGH

Brainliest please

Step-by-step explanation:

Answer:

C.  522 m^2.

Step-by-step explanation:

The area of the 3 rectangles in the net

= 10 * (9 + 16.6 + 14)

= 10 * 39.6

= 396. m^2.

The area of the 2 triangles

=  2 * 1/2 * 14 * 9

= 126 m^2.

Total surface area =  522 m^2.

Answer:

Option A. [tex]17.5\ units[/tex]

Step-by-step explanation:

we know that

The measure of the median is the semi-sum of the bases

so

[tex]\frac{1}{2}(11+24)=17.5\ units[/tex]

Answer:

17.5

Step-by-step explanation:

1/2(11+24)=17.5

Answer:

[tex]\boxed{f(x) - g(x) = 2x(2x^{2} + x + 1)}[/tex]

Step-by-step explanation:

f(x) = 9x³ + 2x² - 5x + 4; g(x)=5x³ -7x + 4

Step 1. Calculate the difference between the functions

(a) Write the two functions, one above the other, in decreasing order of exponents.

ƒ(x) = 9x³ + 2x² - 5x + 4

g(x) = 5x³           - 7x + 4

(b) Create a subtraction problem using the two functions

        ƒ(x) =    9x³ + 2x² - 5x + 4

      -g(x) =  -(5x³           - 7x + 4)

ƒ(x) -g(x)=

(c). Subtract terms with the same exponent of x

        ƒ(x)   =    9x³ + 2x² - 5x + 4

      -g(x)  =   -(5x³          -  7x + 4)

ƒ(x) -g(x) =      4x³ + 2x² + 2x

Step 2. Factor the expression

y = 4x³ + 2x² + 2x

Factor 2x from each term

y = 2x(2x² + x + 1)

[tex]\boxed{f(x) - g(x) = 2x(2x^{2} + x + 1)}[/tex]

100, 104, 114, 116, 117, 118, 122, 126, 151

That was the correct answer for the test I took

Answer:

$0.2456 / card in ink for printer B

Step-by-step explanation:

The formatting of the data tables isn't great in your question and it's hard to be sure of which numbers go where.

Since the question is about printer B, we'll assume the number of hours for printer B is 50 for week1, 50 for week2 and 3 for week3.

The numbers don't make much sense overall, but let's work with them.

We'll first calculate the ratio of hours worked by printer B with the overall hours all the printers worked, over the 3 weeks:

Printer A : 140 hours

Printer B : 130 hours

Printer C: 145 hours

Total 415 hours total, for the 3 printers.

Ratio of Printer B: 130 / 415 = 31.325%

Total of cards produced:

7,950 + 7,800 + 9,600 = 25,350 cards over 3 weeks.

We'll assume the productivity per hour is the same for all printers, since no indication otherwise.  So, the portion of those 25K cards of printer B should be the same as the ratio of the hours worked:

25,340 * 31.325% = 7941 cards (rounded to the nearest unit)

Since we know printer B ran for 130 hours, and it costs $15/hour in ink, we have:

130 hours * 15$/hour = $1,950 in ink.

Now, we divide by the number of cards:

$1,950 / 7941 cards = $0.2456 / card in ink for printer B

Answer:

b

Step-by-step explanation:

took test

Answer:

[tex]E = 3.46\ movies[/tex]

Step-by-step explanation:

The formula to find the error is:

[tex]E = z_{\frac{\alpha}{2}}\frac{\sigma}{\sqrt{n}}[/tex]

Where:

[tex]\sigma[/tex] is the standard deviation

n is the sample size

So

n = 80 people

[tex]\sigma[/tex] = 12 movies

Then

[tex]1- \alpha[/tex] = confidence level = 0.99

[tex]\alpha= 1-0.99[/tex]

[tex]\alpha = 0.01\\\\\frac{\alpha}{2} = 0.005[/tex]

We look for the Z value: [tex]Z_{0.005}[/tex]

[tex]Z_{0.005}=2.58[/tex]  Looking in the normal standard tables

Therefore:

[tex]E =2.58*\frac{12}{\sqrt{80}}\\\\E = 3.46\ movies[/tex]

Answer:

36

Step-by-step explanation:

half dollar equals 50 cents.

72/2=35

Answer:

36

Step-by-step explanation:

divide it by two since it says that each are half a dollar meaning 50 cents each.

Answer:

The area of the composite figure is 1360 ft.

Step-by-step explanation:

First, you should split up the composite figure into separate shapes.

So to find area of the triangle all the way on the left, you multiply base x height then divide by 2.

30 x 34 = 1020 ÷ 2 = 520.

Then, moving on to next shape, we can break up the trapezoid into a rectangle and a triangle.

To find area of the rectangle you multiply length x width.

16 x 30 = 480.

Finally, we have the last triangle right above the rectangle. Keep in mind that the rectangle does not have a length of 40!

You have to subtract 40 - 16 which equals 24.

30 x 24 = 720 ÷ 2 = 360.

Now that we have all 3 numbers, we simply add them all together and you will get an answer of 1360 ft.

Remember to label your answer!

Answer:

1080 ft^2

Step-by-step explanation:

We are given a composite figure that consists of a triangle and a trapezoid.

We know that the area of these two shapes is given by the following formulas so we will put in the given values to get:

Area of triangle = [tex]\frac{1}{2} \times b \times h[/tex] = [tex]\frac{1}{2} \times 16 \times 30[/tex] = 240 ft^2

Area of trapezoid = [tex]\frac{a+b}{2} h[/tex] = [tex]\frac{16+40}{2} 30[/tex] = 840 ft^2

Area of composite figure = [tex]240+840[/tex] = 1080 ft^2

Answer:

Option 1

Step-by-step explanation:

In order to find the value of the function at x=6, we have to replace x by 6 in the given function.

[tex]f(x)=\frac{3}{2}x -\frac{1}{2}[/tex]

Replacing(Substituting) x = 6 in above equation we get:

[tex]f(6)=\frac{3}{2} (6) -\frac{1}{2}\\\\f(6)=9-\frac{1}{2}\\\\ f(6)=\frac{18}{2}-\frac{1}{2}\\\\ f(6)=\frac{17}{2}\\\\ f(6)=8\frac{1}{2}[/tex]

Thus, 1st option gives the correct answer.

Answer:

The correct answer is option 1

8 1/2

Step-by-step explanation:

It is given that,

f(x) = 3x/2 - 1/2

We have to find f(x) when x = 6

To find the value of f(6)

we have, f(x) = 3x/2 - 1/2

when x = 6

f(x) = f(6)

f(6) = (3 * 6)/2 - 1/2

 = 18/2 - 1/2

 = (18 - 1)/2 = 17/2

 = 8 1/2

Therefore the correct answer is first option

Answer:

11/3 . . . or . . . 3 2/3

Step-by-step explanation:

Adding the three equations will give 2x+2y+2z:

(x +y) +(y +z) +(z +x) = 6 +7 +9

2x +2y +2z = 22

Dividing by 2 gives the sum of three variables:

x +y +z = 11

The average of x, y, and z is their sum divided by 3:

(x +y +z)/3 = 11/3

Answer:

142 degrees

Step-by-step explanation:

Since LON is 180 degrees...

9x - 91 + 6x + 76 = 180

15x - 15 = 180

15x = 165

x = 11

MON = 6(11) + 76

MON = 66 + 76

MON = 142