A cyclist rides her bike at a rate of 9 kilometers per hour. What is this rate in kilometers per minute? How many kilometers will the cyclist travel in 15 minutes? Do not round your answers.

Answer:

This is the graph of y = 0.4x

The best measurement for the angle is less than 90°. The correct option is a. less than 90°

From the question, we are to determine which of the given options is the best measurement for the angle

In the given diagram, we can observe that the angle is an acute angle. Thus, the measure of the angle will be lesser than 90°.

Hence, the best measurement for the angle is less than 90°. The correct option is a. less than 90°.

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Answer:

23

Step-by-step explanation:

the answer is the y intercept of the equation

Answer:

23m, at t=2s

Step-by-step explanation:

Putting the physics part aside, you can rewrite the height function as

[tex]h(t)= 23 - 5(t-2)^2[/tex]. Now you have a fixed value, 23, and you're subtracting to it a quantity that, being a square, is at least zero. The maximum value of that sum you have when you're not subtracting anything, that is 23. That happens when [tex]5(t-2)^2 = 0 \rightarrow t=2[/tex]

Alternatively, if you know how to determine the velocity from that kind of motion, you can find out the speed, and the highest altitude you reach when the speed is zero, which leads to a bunch of calculation for the same result.

Answer:

p = 9

Explanation:

There is no remainder when a polynomial is completely divided by divisor.

Here:

Set to zero:

Insert into equation.

f(6) = 0

(6)³ - 13(6)² + 6p(6) - 72 = 0

216 - 468 + 36p - 72 = 0

-324 + 36p = 0

36p = 324

p = 324/36

p = 9

So, the graph of f(x - 2) is just the graph of f(x) translated 2 units to the right.

Sadly we don't have the original function f(x), but we can answer in a general form.

Remember that for a general function f(x), a horizontal translation of N units can be written as:

g(x) = f(x + N).

So, the graph of f(x - 2) is just the graph of f(x) translated 2 units to the right.

So you need to resketch f(x), but just move it 2 units to the right side (positive x-axis side).

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After 24 hours, 35.4% of the initial dosage remains on the body.

The exponential decay is written as:

[tex]f(x) = A*e^{-k*x}[/tex]

Where A is the initial value, in this case 2.8mg.

k is the constant of decay, given by the logarithm of 2 over the half life, in this case, is:

[tex]k = ln(2)/16h[/tex]

Replacing all that in the above formula, and evaluating in x = 24 hours we get:

[tex]f(24h) = 2.8mg*e^{-24h*ln(2)/16h} = 0.9899 mg[/tex]

The percentage of the initial dosage that remains is:

[tex]P = \frac{0.9899mg}{2.8mg}*100\% = 35.4\%[/tex]

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The inventory account expected to have by December 31 is more than $5800. Option C

The formula for end inventory is given as ;

Ending inventory = Beginning inventory + net purchases –sales

Beginning inventory = $5800

Net purchases = $65000

Sales = $112000

Put into the formula

Ending inventory = $ [tex]5800 + 65000 - 112000[/tex]

Add first,

Ending inventory = $ [tex]70800 - 112000[/tex]

Ending inventory = $ -41, 200

Thus, the inventory account expected to have by December 31 is more than $5800. Option C

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Answer:

Step-by-step explanation:

Attached is graphed piecewise function.

Take note, if the inequality is a less than or equal to or (more than or equal to), the dots will be solid, otherwise it will be hollow.

Since this is a piecewise function, here is one question you might want to ask yourself:

Does the limit exist when x approaches 4?

Using the coordinate geometry formula, the exact area of triangle DEF is: B. 18 square units.

The coordinate geometry formula is used to find the rea of a triangle with given coordinates of its vertices. It is given as: the absolute value of [Dx(Ey - Fy) + Ex(Fy - Dy) + Fx(Dy - Ey)]/2.

Dx = -3

Dy = 4

Ex = 3

Ey =-2

Fx = 3

Fy = 4

Plug in the values:

[-3(-2 - 4) + 3(4 - 4) + 3(4 - (-2))]/2.

[-3(-6) + 3(0) + 3(6)]/2.

[18 + 0 + 18]/2.

36/2

= 18 units²

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Answer:

20

Step-by-step explanation:

To find x, note that:

Therefore,

(2x + 20)° = 60°

Removing bracket.

2x + 20 = 60

collecting like term.

2x = 60 - 20

2x = 40

dividing bothsides by 2

2x/2 = 40/2

x = 20

[tex]\Large\maltese\underline{\textsf{A. What is Asked}}[/tex]

How do I solve for X?

[tex]\Large\maltese\underline{\textsf{B. This problem has been solved!}}[/tex]

Angles [tex]\bf{60^\circ}[/tex] and [tex]\bf{2x+20}[/tex] are vertical angles. They are congruent, or equal.

Thus,

[tex]\bf{2x+20=60}[/tex] | subtract 20

[tex]\bf{2x=40}[/tex] | divide the equation by 2

[tex]\bf{x=20}[/tex]

[tex]\cline{1-2}[/tex]

[tex]\bf{Result:}[/tex]

          [tex]\bf{=x=20}[/tex]

[tex]\LARGE\boxed{\bf{aesthetic \not1\theta l}}[/tex]

Answer:

36.

Step-by-step explanation:

try this option provided on the attached picture.

The parallel lines cuts the sides in equal proportion to give NP = 0.8

The given diagram consists of a line parallel to one of the sides of the triangle.

According to the triangle proportionality theorem, the parallel line, NQ, proportionally divides the sides MR and MP, such that:

NQ || PR

By triangle proportionality theorem;

[tex]\mathbf{ \frac{ MN }{ NP} } = \frac{ MQ }{ QR } [/tex]

Which gives;

[tex] \mathbf{ \frac{ 5 }{ NP} } = \frac{ 8}{ 2 } [/tex]

2×5 = 8 × NP

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Answer:

√-1

Step-by-step explanation:

The imaginary number i is defined as √(-1)

NOTE : i² = -1

Answer: y = -3

Step-by-step explanation:

The midpoint is [tex]\left(\frac{-2+4}{2}, \frac{2-8}{2} \right)=(1, -3)[/tex].

The line given is a vertical line, so we need a horizontal line.

Thus, the equation is y = -3.

Answer:

X=-8

Step-by-step explanation:

A number x is multiplied by 4, added to 3, and then divided by x+2, leaving us with 7/2. Or, as an equation:

[tex] \frac{4x + 3}{x + 2} = \frac{7}{2} [/tex]

Now, let's cross multiply:

[tex]2(4x + 3) = 7(x + 2)[/tex]

[tex]8x + 6 = 7x + 14[/tex]

And solve:

[tex]x + 6 = 14[/tex]

[tex]x = - 8[/tex]

Answer:

6.9

Step-by-step explanation:

If you have a calculator, you can do this easily.

[tex]\sqrt{48}=4\sqrt{3}\quad \left(\mathrm{Decimal:\quad }\:6.92820\dots \right)[/tex]

Round the Decimal to the tenths place, and you get 6.9.

Using equation, He bought 3 boxes of ballpoint pens and 15  boxes of felt-tip pens

let

x = number of boxes of ballpoint pens

y = number of boxes of felt-tip pens

Therefore, the situation will form an equation.

x = 5y

Hence,

4.33x + 3.42y = 75.21,

4.33(5y) +  3.42y = 75.21

21.65y + 3.42y = 75.21

25.07y = 75.21

y = 75.21 / 25.07

y = 3

x = 5(3) = 15

Hence, he bought 3 boxes of ballpoint pens and 15  boxes of felt-tip pens

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Answer:

the answer is x<9 I found this by simplifying and separating the x

Use desmos graphing calculator, for visuals. It's easy to use as well.

A is 0 (zero)

(1x1 + 2x1 - 3)

B) D ( lies on 1 on our x-axis)

C) This tells you to draw a line at zero on the y-axis, a horizontal line BTW & read off the x values, where the line touches the pink graph/diagram.

y=x^2+2x-3 is the similar to x^2+2x-3=0 because the letter y now represents zero. So, that's why we draw the line y=0 (a horizontal line at zero). Then, use it to find the x values.

Thus, x = - 3 & x = 1

Hope this helps!

Answer:

The correct answer: a line

Answer:

67.

Step-by-step explanation:

n - m = 66

The 66 includes the number m+1   up to and including n (buy not m).

So the number of integers is 66 +1 = 67

The value of x in the proportion is x = 39/8

The proportion is given as:

3/8 =x/13

Cross multiply

8 * x = 3 * 13

Evaluate

8x = 39

Divide by 8

x = 39/8

Hence, the value of x in the proportion is x = 39/8

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Answer:

y = 2x + 3

Step-by-step explanation:

Hello!

Solve for y by isolating the variable.

The solution is y = 2x + 3.

To Calculate :-

Solution :-

⇒ -20x + 10y = 30

☆ Transposing (-20x) to R.H.S. sign would be changed to positive.

⇒ 10y = 30 + 20x

⇒ y = 30 + 20x / 10

⇒ y = 10 (3 + 2x) / 10

☆ Cancelling 10,

⇒ y = 3 + 2x / 1

⇒ y = 2x + 3

The  production department factory overhead rates for Cut and sew department is 89 and Pattern is 67.

a. Pattern Department            

Factory overhead rate=Total Overhead Cost/Direct Labor Hours

Factory overhead rate= 140,700/2700

Factory overhead rate=67

Cut and sew Department

Factory overhead rate=231,400/2600

Factory overhead rate=89

b.  Factory overhead per unit

Pattern Department:      

Small glove=.04 x 67

Small glove=2.68    

Medium glove= .05 x 67

Medium glove=3.35

Large glove= .06 x 67

Large glove=4.02

Cut and sew Department:      

Small glove=.07 x 89

Small glove=6.23    

Medium glove=.09 x 89

Medium glove=8.01  

Large glove=.11 x 89

Large glove=9.79

Therefore the  production department factory overhead rates for Cut and sew department is 89 and Pattern is 67.

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The complete question is:

Handy Leather, Inc., produces three sizes of sports gloves: small,

medium, and large. A glove pattern is first stenciled onto leather in the Pattern Department. The stenciled patterns are then sent to the Cut and Sew Department, where the glove is cut and sewed together. Handy Leather uses the multiple production department factory overhead rate method of allocating factory overhead costs. Its factory overhead costs were budgeted as follows:

Pattern department Overhead                $140,700

Cut and sew Department overhead        $231,400

Total    $372100

Direct labor labor estimated for each department was as follows:

Pattern   Dept. -                       2100 direct labor hours

Cut and Sew Department      2600

Total                                          4700 direct labor hours

Direct labor hours are used to allocate the production department overhead to the products. The direct labor hours per unit for each product for each production department were obtained from the engineering records as follows:

Production Departments        Small Glove    Medium Glove          Large Glove

Pattern dept. 0.04         0.05                          0.06

cut and sew dept.                             0.07                 0.09                          0.11

direct labor hours per unit               0.11                   0.14                          0.17

If required, round all per unit answers to the nearest cent.

a. Determine the two production department factory overhead rates.

Cut and sew department and Pattern

b. Use the two production department factory overhead rates to determine the factory overhead per unit for each product.

small glove, medium glove and large glove

Let, the points be A (8, −4) and B (1, −5). The slope of line AB exists 1/7.

Utilize the slope formula to estimate the slope of a line provided the coordinates of two points on the line.

The slope formula exists [tex]$m = (y_{2} -y_{1})/(x_{2} - x_{1} )[/tex], or the difference in the y values over the difference in the x values. The coordinates of the first point symbolize [tex]$x_{1}[/tex]and [tex]$y_{1}[/tex]. The coordinates of the second points exist [tex]$x_{2} , y_{2} .[/tex]

The slope of the line exists the ratio of the rise to the run, or rise separated by the run.

[tex]$m = (y_{2} -y_{1})/(x_{2} - x_{1} )[/tex]

The Line, AB contains points A (8, −4) and B (1, −5).

Substitute the value of points in the equation then we get

[tex]$m = (y_{2} -y_{1})/(x_{2} - x_{1} )[/tex]

m = (-5-(-4))/(1 - 8)

Simplifying the above equation, we get

m = (-5+4)/(1 - 8)

m = (-1)/(-7)

m = 1/7

Therefore, the slope of line AB exists 1/7.

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Answer:

24/5

Step-by-step explanation:

[tex]\frac{6}{1}*\frac{4}{5} = \frac{24}{5}[/tex]

[tex]\Large\maltese\underline{\textsf{A. What is Asked}}[/tex]

Multiply, and simplify your answer, and write it as a mixed number,

[tex]\Large\maltese\underline{\textsf{B. This problem has been solved!}}[/tex]

Write the first fraction as 6/1 and multiply it times 4/5.

[tex]\bf{\dfrac{6}{1}\times\dfrac{4}{5}=\dfrac{6\times4}{1\times5}}=\dfrac{24}{5}}[/tex] | Have you noticed that we multiply the numerators together, and we do the exact same thing with the denominators?

[tex]\bf{4\dfrac{4}{5}}[/tex]

[tex]\cline{1-3}[/tex]

[tex]\bf{Result:}[/tex]

                 [tex]\bf{=4\dfrac{4}{5}}[/tex]

[tex]\LARGE\boxed{\bf{aesthetic \not1\theta l}}[/tex]

Answer:

hope they do help. in case of any questions feel free to ask.

See the graph in the attached image.

The missing numbers are 13 and 50

Given the numbers;

1, 2, 3, 7, -, 24, -.

Find the numbers by preceding numbers together, thus;

1 + 1 =2

1 + 2 = 3

1 + 2 + 3 = 7

1 + 2 + 3 + 7 = 13

1 + 2 + 3 + 7 + 13 + 24 = 50

Thus, the missing numbers are 13 and 50

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