Mathematics Literacy Graphs Question 1 Homework

Answer:

24

Step-by-step explanation:

thats what i got from the math i did

The total surface area is 1308 meters square

From the question, we have the following dimensions

Length = 19 m

Width = 16 m

Height = 10 m

The total surface area is then calculated as:

Total surface area = 2 * (Length * Width + Width * Height + Length * Height)

Substitute the known values in the above equation

Total surface area = 2 * (19 * 16 + 16 * 10 + 19 * 10)

Evaluate the expression

Total surface area = 1308

Hence, the total surface area is 1308 meters square

The question is incomplete, and the resources cannot be found online.

So, I used the attached figure to answer the question

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Answer:1,238yd squared

Step-by-step explanation:

Answer:

51°

Step-by-step explanation:

posted answer to the question

Answer:

Step-by-step explanation:

The rate of the current is 6 mile/hour.

In this context, the rate is tantamount to speed o velocity in a linear motion. The S.I unit will be mile per hour.

Given that a boat takes 10 hours to sail a distance of 100 nautical miles with the current. The rate at which the boat move will be

The rate R1 = 100/10

R1 = 10 mile/hour

And when it moves against the current, it takes the boat 25 hours to sail the same distance. The rate at which the boat move will be

The rate R2 = 100/25

R2 = 4 mile/hour

The rate of the current R will be the difference between the two calculated rate. That is,

R = R1 - R2

R = 10 - 4

R = 6 mile/hour

Therefore, the rate of the current is 6 mile/hour.

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The inverse of function f(x) = 9x+7 is f-1(x) = x/9 - 7/9

The function is given as:

f(x) = 9x + 7

Express f(x) as y

y = 9x + 7

Swap the positions of x and y in the above equation

x = 9y + 7

Subtract 7 from both sides

9y = x - 7

Divide through by 9

y = x/9 - 7/9

Express as an inverse function

f-1(x) = x/9 - 7/9

Hence, the inverse of function f(x) = 9x+7 is f-1(x) = x/9 - 7/9

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The paragraph looks like:

Since AC, MN, and DB intersect at O, ∠AOM ≅ ∠NOC and ∠MOD ≅ ∠BON by the vertical angles theorem. It is given that ∠BON ≅ ∠NOC, so by the transitive property of congruence, ∠AOM ≅ ∠MOD.

In the question, we are asked to convert the given proof to the paragraph format, where the proof is already given to us.

The proof given to us is:

Statements________________________Reasons

1. AC, MN, and  DB intersect at O.______1. given

2. ∠AOM ≅ ∠NOC__________________2. vertical angles theorem.

3. ∠MOD ≅ ∠BON__________________3. vertical angles theorem.

4. ∠BON ≅ ∠NOC__________________4. given.

5. ∠AOM ≅ ∠MOD_________________5. transitive property of congruence.

To convert this proof to the paragraph format, we need to translate each statement along with its reason in the paragraph.

Thus, the paragraph looks like:

Since AC, MN, and DB intersect at O, ∠AOM ≅ ∠NOC and ∠MOD ≅ ∠BON by the vertical angles theorem. It is given that ∠BON ≅ ∠NOC, so by the transitive property of congruence, ∠AOM ≅ ∠MOD.

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Answer:

I don't understand the format of the questions and choices.  I simply made a few observation.

Step-by-step explanation:

The fraction - (2) can be described as the opposite of a positive number divided by a positive number.

-(2/1)?

A positive number divided by a positive number results in a Choose...     Negative Number

quotient, and its opposite is always Choose...    Opposite?  Still a negative number.

I don't understand the following:

The fraction can be described as a positive number divided by a negative number, which

-12

always results in a Choose...

quotient.

value, so Liam Choose...

The fractions have

Choose...

Y

correct.

I believe the slope is negative. If it was positive then it would have been " / "

Answer:

C

Step-by-step explanation:

• A vertical line has an undefined slope

• A horizontal line has a slope of zero

• A line sloping downwards from left to right has a negative slope

• A line sloping upwards from left to right has a positive slope

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

the line here slopes downwards from left to right and has a negative slope

Answer:

It is the second picture.

Step-by-step explanation:

Answer:

x = 36

Step-by-step explanation:

The two lines are parallel and intersected by a transversal line.

The co-interior angles formed will sum up to 180°

Here angles 3x and 2x are the co-interior angles

So 3x + 2x = 180

5x = 180

x = 180/5 = 36

Answer:

Step-by-step explanation:

2x + 2x + 3x + 3x = 180°

10x = 180°

x = 180° : 10 =

x = 18°

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

check

2 × 18 + 2 × 18 + 3 × 18 + 3 × 18 = 180°

the answer is good

Answer:

If  m(x) = x^3 - x^2 - 5x - 3 then x - 3 is a factor.

Step-by-step explanation:

By the Factor Theorem if  (x - a) is a factor of f(x) then f(a) = 0.

m(x) = x^3 - x^2 - 5x - 3

m(3) = 27 -  9  - 15 - 3 = 0

- so x - 3 is a factor

Answer:

  8

Step-by-step explanation:

The given ratios can be combined to a composite ratio using least common multiples.

We can identify each of the entities with a 2-letter designation:

  TT - Tumtum tree; TW - tulgey wood; BS - frumious Bandersnatch;

  ST - slithy tove; BG - borogoves; MR - mome raths; JW - Jabberwocky;

  JB - Jubjub birds.

Then the given ratios are ...

The path from BS to JW is unique, so we can work our way there one ratio at a time. Having done this once, we can go back and do it again with the least possible multiplier.

Here, that turns out to be 125 Bandersnatches. We can combine these to the composite ratio ...

  125 BS : 125 TW : 2500 TT : 25 JB : 5 ST : 2 BG : 400 MR : 200 JW

Then the ratio of Bandersnatches to Jabberwocks is 125 : 200 = 5 : 8.

If there are 5 frumious Bandersnatches, there should be 8 Jabberwocks.

__

Additional comment

We know 1 JW : 2 MR and 200 MR : 1 BG. In order to get a common value of 200 MR in these ratios, we need to multiply the first by 100:

  100 JW : 200 MR : 1 BG

Next, we notice the other ratio involving BG is 2 BG : 5 ST, which means we need to multiply by 2 again:

  200 JW : 400 MR : 2 BG : 5 ST

The number of JB is 5 times the number of ST, so this extends to ...

  ... 5 ST : 25 JB

The number of TT is 100 times the number of JB, so we have ...

  ... 5 ST : 25 JB : 2500 TT

Continuing in like fashion, we get the composite ratio shown above. We originally worked this starting from BS. Reducing the JB/TT ratio from 2/200 to 1/100 helped eliminate an extra factor of 2.

Step-by-step explanation:

it's not really a math problem per se, it is more like a regular riddle with numbers.

true, everything involving numbers is essentially math, but then what will you do in life with things like earning a salary, going shopping, checking a calendar and schedules for bus, train and flights or business meetings, sharing a pizza with friends, playing computer games, ...

life is for a big part numbers and therefore math.

so, don't be afraid, just use your brain and common sense !

let's think this through (just be strict, concentrated, and follow each line literally) :

5 fr. Band. means 5 tulgey woods.

which means 20×5 = 100 tumtum trees.

as there are 2 jubjub birds in 200 tumtum trees, that means that there is 1 jubjub bird in the given 100 tumtum trees.

as there are 5 jubjub birds in 1 slithy toves, but we have only 1 bird, that means we have only 1/5 slithy toves.

there are 5 slithy toves in 2 borogoves. that means 1 slithy toves in 2/5 borogoves. and 1/5 slithy toves in 2/5 / 5 = 2/25 borogoves.

there are 200 mome raths in each borogove. and we have 2/25 borogoves. that means we have

200 × 2/25 = 400/25 = 16 mome raths.

and there are 2 mome raths per jabberwocky. we have 16 raths. how many pairs of raths does that make ?

16/2 = 8 pairs of raths = jabberwocks.

so, there should be 8 jabberwocks.

you see ? that's all that was needed. this was like a labyrinth riddle, where you need to find the way from an inside starting point to the exit without crossing a line (or wall).

[tex]~~~~~~\textit{initial velocity in feet} \\\\ h(t) = -16t^2+v_ot+h_o \quad \begin{cases} v_o=\textit{initial velocity}&96\\ \qquad \textit{of the object}\\ h_o=\textit{initial height}&160\\ \qquad \textit{of the object}\\ h=\textit{object's height}&h\\ \qquad \textit{at "t" seconds} \end{cases} \\\\\\ h(t)=-16t^2+96t+160[/tex]

Check the picture below.

[tex]\textit{vertex of a vertical parabola, using coefficients} \\\\ y=\stackrel{\stackrel{a}{\downarrow }}{-16}x^2\stackrel{\stackrel{b}{\downarrow }}{+96}x\stackrel{\stackrel{c}{\downarrow }}{+160} \qquad \qquad \left(-\cfrac{ b}{2 a}~~~~ ,~~~~ c-\cfrac{ b^2}{4 a}\right) \\\\\\ \left(-\cfrac{ 96}{2(-16)}~~~~ ,~~~~ 160-\cfrac{ (96)^2}{4(-16)}\right) \implies \left( - \cfrac{ 96 }{ -32 }~~,~~160 - \cfrac{ 9216 }{ -64 } \right)[/tex]

[tex](3~~,~~160 + 144)\implies \underset{~\hfill feet}{\stackrel{seconds~\hfill }{(\stackrel{\downarrow }{3}~~,~~\underset{\uparrow }{304})}}[/tex]

Answer:

roots (1,0) (3,) the vertical intercept is (0,-12)

Step-by-step explanation:

Answer:

7.a) 5

7.b) 1/2

8. 1

Step-by-step explanation:

7.

a)

Read the points on the graph (0, 0) and (1, 5).

slope = (5 - 0)/(1 - 0) = 5/1 = 5

b)

read the points on the graph (0, 0) and (4, 2).

slope = (2 - 0)/(4 - 0) = 2/4 = 1/2

8.

Points (1, 4) and (5, 8)

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

Answer:

  See attached

Step-by-step explanation:

Each point on the line segment moves to 2 times its previous distance from the origin.

The center of dilation, the origin, is an invariant point. It doesn't move for any dilation factor. One end of the line segment is there, so it will not move.

The coordinates of each point are multiplied by the dilation factor. The other end of the line segment is (5, 5), so it moves to 2×(5, 5) = (10, 10).

The dilated line segment extends from (0, 0) to (10, 10). It is shown in red in the attached graph.

The function [tex]B(t) = 182(1.065)^t[/tex] represents the annual population of bees in a county park, the growth rate is 6.5%.

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

An independent variable is a variable that does not depend on any other variable for its value while a dependent variable is a variable that depends on other variable.

Length of Charles garden = 12.5 m * 12 = 150 m

Length of Stephen chain = 150 m /18 = 25/3 m

Breadth of Charles garden - 25/3 * 10 = 250/3 m

Area of Charles garden = 150 m * 250/3 m = 12500 m =

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Answer:

ther r 2group 5%

i hope this is helpful to you

Answer:

3

Step-by-step explanation:

i used process of elimination... 1 and 2 looks unreasonable, and 4 doesn't work cus i tried it irl. i might be wrong though, don't rely on me :>

Answer:

[tex]3x+2y^2+2(x+y)+2y+1[/tex]

Step-by-step explanation:

1) Split the second term in [tex]2{(x+2y)}^{2}+3(x+2y)+1[/tex] into two terms.

1 - Multiply the coefficient of the first term by the constant term.

[tex]2\times1=2[/tex]

2 - Ask: Which two numbers add up to 3 and multiply to 2?

2 and 1.

3 - Split  [tex]3x+2y[/tex] as the sum of [tex]2(x+y)[/tex]  and [tex]x+2y[/tex].

[tex]2x+2y^2+2(x+y)+x+2y+1[/tex]

2) Collect like terms.

[tex](2x+x)+2y^2+2(x+y)+2y+1[/tex]

3) Simplify.

[tex]3x+2y^2+2(x+y)+2y+1[/tex]

Thank you,

Eddie

The time that the ball is in the air if the player lets the ball drop is 2.145 sec

What is a quadratic equation?

A quadratic equation is an algebraic equation of the second degree in x. The quadratic equation in its standard form is ax²+ bx + c = 0, where a and b are the coefficients, x is the variable, and c is the constant term.

-16t²+32t+5

by comparing this equation to the standard form of the quadratic equation we get

a=-16 b=32 c=5

the time (t) needed for the ball to reach its maximum height using the axis of symmetry formula (x = -b/2a) for a parabola:

the time at which the ball reaches the maximum height using the axis of symmetry formula is (x=-b/2a)

t = -32/2×-16

t=1sec

by putting h(t) to zero and determining the time (t) when the ball hits the ground:

-16t²+32t+5=0

-16(t²+2t+5/16)=0

t²-2t-5/16=0

(t)²-2×1×t+(1)²-5/16=1

(t-1)²=21/16

t-1=√21/√16

t=1+4.58/4

t=1+1.145

t=2.245sec

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Answer:

Step-by-step explanation:

ggggggg

[tex]( \: 2 \: 3 \: 4 \: 5 \:6 \: 7 \:8 \: 9 \: 10 \: )[/tex]

[tex]Event \: P \\P:"choosing \: a \: natural \: number \: from \: 2 \: to \: 10 \: inclusive"[/tex]

Answer: Option (4)

Step-by-step explanation:

The graph has a y-intercept of 2.

The graph passes through (2,4).

This leaves option (4) as the correct answer.

Using proportions, it is found that the value of x is of 5.

A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct or inverse proportional, can be built to find the desired measures in the problem.

In this problem, since Figure A is a scale of Figure B, the side lengths are proportional, hence the following rule of three is established:

x/12.5 = 2/5

Applying cross multiplication:

5x = 25

x = 5.

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Answer:

3 tiels are in the factor 2: 2 are labeled x and 1 is labeled negative

Answer: B

Step-by-step explanation:

Answer:

1/9^2

Step-by-step explanation:

simplify

9^(7-9)

simplify further

9^-2

simplify even more

1/9^2

Answer:

9^16

Step-by-step explanation:

just took the test

The value of length HL is 8.

A secant is a line that intersects a circle in exactly two points

When two secants intersect outside a circle, the circle divides the secants into segments that are proportional with each other.

Therefore,

(EF + FL)FL = HL(GH + HL)

(10 + 14)10 = (HL + 30 - HL)HL

240 = 30(HL)

divide both sides by 30

Hence,

240 / 30 = 30HL / 30

8 = HL

Therefore,

HL = 8

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