Answers to 10 11 and 12 with explanations

Answer:

Step-by-step explanation:

The questions are asking you whether the calculation of each needs to be exact or an estimate. An estimate is used when the final value needs to be close to what is needed but is ok if it surpasses the needed value. Exact values are used when the final value needs to be exact and cannot be over or under the needed value or it will cause errors. Therefore, the answers are the following...

1. exact

2. estimate

3. exact

4. estimate

5. exact

6. exact

Answer:

C. 4.5 inches

Step-by-step explanation:

Given the following data;

Force, F = 10 pounds

Extension, e = 3 inches

First of all, we would determine the spring constant (k) using the following formula;

Force = spring constant * extension

10 = spring constant * 3

Spring constant = 10/3

Spring constant = 3.33 pounds per inches.

Next, we would find the extension of the spring when a force of 15 pounds is applied;

F = ke

15 = 3.33 * e

Extension, e = 15/3.33

Extension, e = 4.5 inches.

Answer:

Step-by-step explanation:

<SRQ = 270 degrees

<RPQ is just 31 degrees short of that amount.

<RPQ = <SRQ - 31

<RPQ = 270 - 31

<RPQ = 239

Answer:

An explicit formula designates the nth term of the sequence, as an expression of n (where n = the term's location). It defines the sequence as a formula in terms of n. It may be written in either subscript notation a n, or in functional notation, f (n). Sequence: {10, 15, 20, 25, 30, 35, ...}.

Step-by-step explanation:

Answer:

An explicit formula designates the nth term of the sequence, as an expression of n (where n = the term's location). It defines the sequence as a formula in terms of n. ... This example is an arithmetic sequence(the same number, 5, is added to each term to get to the next term).

Step-by-step explanation:

This question is incomplete, the complete question is;

If 8 people invest $500 each in a stamp collection and after a year the collection is worth $3,800, how much did each person lose? show work​

Answer:

Each person lost $25

Step-by-step explanation:

Given the data in the question;

Number people that invested = 8

Amount each invested = $500

worth after a year the collection = $3,800

Now, the amount each person lost will be;

[tex]Lost_{each-person[/tex] = Total loss / total number of persons

[tex]Lost_{each-person[/tex] = [ ( 500 × 8 ) - 3800 ] / 8

[tex]Lost_{each-person[/tex] = [ 4000 - 3800 ] / 8

[tex]Lost_{each-person[/tex] = 200 / 8

[tex]Lost_{each-person[/tex] = 25

Therefore, each person lost $25

Answer:

56

Step-by-step explanation:

Answer:

0.56 or 56

Step-by-step explanation:

3.92/0.07 is 56 if you wanted to place it in decimal for you would have to move the decimal point 2 places over to get a decimal.

Answer:

♨ [tex] \underline{ \underline{ \red{\large {\tt{Step - By - Step \: Explanation}}}}} : [/tex]

☄ [tex] \underline{ \underline{ \large{ \pink{ \tt{G \: I\: V\: E \: N}}}}} : [/tex]

☂ [tex] \underline{ \underline{ \large{ \purple{ \tt{T \: O \: \: F \: I \: N \: D}}}} }: [/tex]

☃ [tex] \underline{ \underline{ \large{ \orange{ \tt{ S \: O \: L \: U \: T \: I \: O\: N}}} }}: [/tex]

☼ [tex] \boxed{ \large{ \sf{Area \: of \: a \: parallelogram = base(b) \times height(h)}}}[/tex]

~Plug the known values & then multiply!

⤑ [tex] \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \large{ \tt{16 \: cm \times 4cm}}[/tex]

⤑ [tex] \: \: \: \: \: \: \: \: \: \: \: \: \ \: \: \: \: \: \: \: \: \: \: \: \ \boxed{\boxed{\large{ \tt{64 \: {cm}^{2} }}} }[/tex]

☥ [tex] \large{ \boxed{ \tt{Our \: Final \: Answer : \boxed{ \underline{ \bold{ \red{ \tt{64 \: {cm}^{2} }}}}}}}}[/tex]

♡ Hope I helped! ツ

Have a wonderful day / night !

✎ [tex] \underbrace{ \overbrace{ \mathfrak{Carry \: On \: Learning}}}[/tex] ✔

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Answer:

[tex]\huge \fbox \pink {A}\huge \fbox \green {n}\huge \fbox \blue {s}\huge \fbox \red {w}\huge \fbox \purple {e}\huge \fbox \orange {r}\huge \fbox \pink {:}\huge \fbox \pink{-}[/tex]

Given:

base[b]=16cm

height [h]=4cm

we have

Area of parallelogram=base ×height

=16×4=64cm²is your answer.

Answer:

5, 3

Step-by-step explanation:

1,-1  enlarged by 4

New coordinates = 4 + 1 = 5

-1 + 4 = 3

The required scaled image of (1, -1) after dilation by scale factor 4 is (5,3).

As per the question, determine the image of (1, -1) after dilation by a scale factor of 4 centered at the origin.

The scale factor is defined as the ratio of modified change in length to

Coordinate, is represented as the values on the x-axis and y-axis of the graph

Here,
The dilation of the coordinate by a scale factor of 4 can be given as,
x = 1 + 4 = 5
y = -1 + 4 = 3

Thus, the required scaled image of (1, -1) after dilation by scale factor 4 is (5,3).

Learn more about Scale factors here:

https://brainly.com/question/22312172

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Answer:

482.5 ft^2.

Step-by-step explanation:

The figure can be regarded as a rectangle with a triangle cut out of one corner.

The base of the triangle = 25-20 = 5 in and the height = 20 - 13 = 7 in.

The required area = area of rectangle - area of triangle

= 25*20 - 1/2 * 5 * 7

= 500 - 17.5

= 482.5 ft^2

9514 1404 393

Answer:

  482.5 square inches

Step-by-step explanation:

The figure can be considered to be a 25 in by 20 in rectangle with a 5 in by 7 in triangle cut off the corner. Then the area of the figure is the area of the rectangle, less the area of the triangle.

  A = LW - 1/2bh

  = (25 in)(20 in) - 1/2(5 in)(7 in) = 500 in² -35/2 in² = 482 1/2 in²

The area of the figure is 482.5 square inches.

Answer:

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Answer: 68 1/18

Step-by-step explanation:

Area of the large rectangle:

11 1/3 x 7 = 79 1/3

Area of tiled floor:

4 5/6 x 2 1/3 = 11 5/18

79 1/3 - 11 5/18 = 68 1/18

Answer:

68 1/18

Step-by-step explanation:

7 x 11 1/3 = 79 1/3

4 5/6 x 2 1/3 = 11 5/18

79 1/3 - 11 5/18 = 68 1/8

Answer:

540 in³

Step-by-step explanation:

v = lwh

v = 18 * 10 * 3

c = 540 in³

Answer:

v= length x width x height so 10x18x3= 540in cubed

Step-by-step explanation:

Answer:

I can't really see the question. Maybe the below will help anyway

Step-by-step explanation:

Use SOH CAH TOA to recall how the trig functions fit on a triangle

SOH: Sin(Ф)= Opp / Hyp

CAH: Cos(Ф)= Adj / Hyp

TOA: Tan(Ф) = Opp / Adj

Answer:

B

Step-by-step explanation:

if you connect and extend to points it forms a line with a y-intercept of 2 when x is zero

   y = mx + b      m the slope equals 1

   y = x +2

Answer:

d.233 is the answer

Step-by-step explanation:

hope it helps you

Answer:

See attachment for plots

Step-by-step explanation:

Given

The attached equations and points

Required

Plot the graph for each

[tex](a)\ y = x + 3[/tex]

[tex]x = \{-2,0,2\}[/tex]

For each value of x, we have:

[tex]y =x +3[/tex]

[tex]y =-2 +3 =1[/tex] ------ [tex](-2,1)[/tex]

[tex]y =0 +3 =3[/tex] ---- [tex](0,3)[/tex]

[tex]y =2 +3 =5[/tex] ----- [tex](2,5)[/tex]

[tex](b)\ y = \frac{1}{2}x - 2[/tex]

[tex]x = \{-2,0,2\}[/tex]

For each value of x, we have:

[tex]y = \frac{1}{2}x - 2[/tex]

[tex]y = \frac{1}{2}*-2 - 2= -3[/tex] ------ [tex](-2,-3)[/tex]

[tex]y = \frac{1}{2}*0 - 2= -2[/tex] ---- [tex](0,-2)[/tex]

[tex]y = \frac{1}{2}*2 - 2= -1[/tex] ----- [tex](2,-1)[/tex]

See attachment for both plot

Answer:

1.016 cm

Step-by-step explanation:

1 inch = 2.54 cm

0.4 inch = 2.54 * 0.4 cm = 1.016 cm

Answer:

F

Step-by-step explanation:

Andrew, Blake, Jamal, Ernesto

Answer:

the 1st one

Step-by-step explanation:

The graph A satisfy the condition. Then the correct option is A.

A statement, principle, or policy that creates the link between two variables is known as a function. Functions are found all across mathematics and are required for the creation of complex relationships.

The condition for the maximum will be

f(x)'' < 0

The condition for the minimum will be

f(x)'' > 0

The graph has the maximum value at 3 and the minimum value at –9.

In the graph A, the curve start from the minimum of negative 9 and reaches to the maximum value of 3.

Then the graph A satisfy the condition.

Then the correct option is A.

More about the maximum and minimum value of the function link is given below.

https://brainly.com/question/13581879

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Answer:

C! I remember this hehehehe xD

Answer:

Step-by-step explanation:

Answer:

See explanation below

Step-by-step explanation:

The width is 4 inches

So, the area of the base is 20 inches squared

The height is 4 inches

So, the volume of the prism is 80 inches cubed

Answer:

is this like BxH or is there a specific equation

Step-by-step explanation:

Answer:

From the first definition, we can conclude that any imaginary number is also a complex number. From the second definition, we can conclude that any real number is also a complex number.

Answer:

B. 35

Step-by-step explanation:

The order in which the flowers are chosen is not important, which means that the combinations formula is used to solve this question.

Combinations formula:

[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

In this question:

4 flowers from a set of 7. So

[tex]C_{n,x} = \frac{7!}{4!(7-4)!} = 35[/tex]

The correct answer is given by option B.

Answer:

96 people.

Step-by-step explanation:

Exponential equation for a decreasing amount:

The exponential equation for a decreasing amount is given by:

[tex]A(t) = A(0)(1-r)^t[/tex]

In which A(0) is the initial rate and r is the decay rate, as a decimal.

Currently, the number of people entering a shopping mall is 109.

This means that [tex]A(0) = 109[/tex]

It is estimated that the number of people entering the shopping mall will decrease by 3% each hour.

This means that [tex]r = 0.03[/tex]

So

[tex]A(t) = A(0)(1-r)^t[/tex]

[tex]A(t) = 109(1-0.03)^t[/tex]

[tex]A(t) = 109(0.97)^t[/tex]

Find the total number of people entering the shopping mall at the end of 4 hours.

This is A(4). So

[tex]A(4) = 109(0.97)^4 = 96.49[/tex]

Rounding to the nearest whole number, 96 people.

Answer:

20

Step-by-step explanation:

its is 20 for both because the 0 and 20 are the same.

Answer:

The intersections of a transversal with two lines create various types of pairs of angles: consecutive interior angles, consecutive exterior angles, corresponding angles, and alternate angles.

9514 1404 393

Answer:

  h(g(x)) = (1/5)x² +4/5

Step-by-step explanation:

  [tex](h\circ g)(x)=h(g(x))=h(x^2+2) = \dfrac{(x^2+2)+2}{5}=\dfrac{x^2+4}{5}\\\\\boxed{(h\circ g)(x)=\dfrac{1}{5}x^2+\dfrac{4}{5}}[/tex]