In this graph, the number of containers is plotted along the x-axis and the amount of water in the container is along the y-axis

Answer:

It will take 20 times for both cost to be same

Step-by-step explanation:

What we want to do here is to calculate the number of times it will take someone who’s wants to rent a boat by Billyboat will be able to rent Lisa boat.

The first thing to do here is calculate how much that is charged to rent Billyboats

That would be;

Let the number of times be n

so the amount will be

105 + 9.50n

Now, renting at 14.75 at n times would be 14.75n

Mathematically, we equate both

14.75n = 105 + 9.5n

14.75n - 9.5n = 105

5.25n = 105

n = 105/5.25

n = 20 times

Answer:

The plotting the points 1 and then you will be able to compare the materials and how they work in comparison to the other material

Answer:

Bar graph

Step-by-step explanation:

Cuz he will make bars in order to show the materi

Answer: y ≥ (3/5)*x - 3

Step-by-step explanation:

In the graph, we can see that we are above a bold line, that goes through the points (0, -3) and (5, 0)

First, let's find the equation for this line:

y = a*x + b

the value of a is the slope and is equal to:

a = (0 - (-3))/(5 -0) = 3/5

and the value of b is the point where the line intersects the y-axis, in this case, b = -3

then our line is

y = (3/5)*x - 3

As the shaded part is above the line, this equality represents the minimum value that y can take for a given x, and because the line is not a doted line, we know that the equality is valid, so we must use the ≥ symbol.

y ≥ (3/5)*x - 3

Answer:

i believe that would be -8...

Step-by-step explanation:

Answer:

the correct answer is -8

plz mark as brainliest

Step-by-step explanation:

Step-by-step explanation:

1. AB = BC (B is the midpoint of AC)

2. DE = EF (E is the midpoint of DF)

3. EB is common

4. ∠ABE = ∠CBE; ∠BED = ∠BEF (EB⊥AC, EB⊥DF)

5. ΔDEB ≅ ΔFEB (RHS)

6. DB = FB (corresponding ∠s of ≅ Δs)

7. ∠EFB = ∠CBF; ∠EDB = ∠ABD (alternate interior angles, AC║DF)

8. ΔABD ≅ ΔCBF (SAS)

Answer:

2.2

Step-by-step explanation:

The usual margin of error we strive for is a 95% probability that our estimate is within the margin.   Assuming a normal distribution (and that we have a big enough sample not to worry about t tests) that corresponds to between minus and plus two standard deviations of the mean (remember the 68-95-99.7 rule).   So our margin of error is plus or minus two standard deviations.

Answer: ±2%

Answer:

x = 3

Step-by-step explanation:

log(4x - 10)32 is not properly formed; it's also ambiguous.

If you mean to say that (4x - 10) is the base, then you have to do the rather awkward typing shown below:

log               32     =      5

      (4x - 10)                                         (where (4x - 10) is assumed to

                                                             be the base)

                      log                32

                             (4x - 10)      

Then (4x - 10)                                 = (4x - 10)^5

or                                            32 = (4x - 10)^5, or

                                               2^5 = (4x - 10)^5

which tellus us that 2 = 4x - 10, or     4x = 12, or x = 3

Answer:

[tex]y>2x-5[/tex]

Step-by-step explanation:

[tex]y +2>1/3 (6x-9)[/tex]

Expand 1/3(6x-9).

[tex]y +2>6/3x-9/3[/tex]

[tex]y +2>2x-3[/tex]

Subtract 2 on both sides.

[tex]y +2-2>2x-3-2[/tex]

[tex]y>2x-5[/tex]

The rewritten form of y +2 > 1/3 (6x – 9) where the y-term us isolated is; y > 2x -5

To isolate the y-term;

The following operations are carried out;

By finally isolating y; we have;

y > 2x -5

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Answer:

0

Step-by-step explanation:

Okay...um. Any number times 0 is 0 so the expression you choose should equal 0.

The required explicit formula for the sequence is [tex]a_n = 9+(n+1)(-3)[/tex]. Option B is correct.

Given, an arithmetic sequance is given in the form of [tex]\left \{ {{a_1=9} \atop {a_n =a_{n-1}-3} \right.[/tex] .
Explicit formula for the sequence is to be determined.

Arithmetic progression is the sequence of numbers that have common differences between adjacent values.
Example,  1, 2, 3, 4, 5, 6. this sequence as n = 6 number with a = 1 (1st term)  and common differene d = 2- 1 = 1.

Given arithmetic sequance is in the form of [tex]\left \{ {{a_1=9} \atop {a_n =a_{n-1}-3} \right.[/tex]
From above expression
[tex]a_n-a_{n-1}= -3[/tex]
common difference (d) = -3
with d = -3 and [tex]a_1 = 9[/tex]
The equation for the nth term in an arithmetic sequence is given by
[tex]a_n =a +(n-1)d[/tex]
[tex]a_n = 9 +(n-1)(-3)[/tex]
The above expression is the explicit form of the arithmetic equation.

Thus, the required explicit formula for the sequence is [tex]a_n = 9+(n+1)(-3)[/tex]. Option B is correct.

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Answer:

  4 : 3

Step-by-step explanation:

The first segment is 4/7 of the whole, so the second segment is 1 - 4/7 = 3/7 of the whole. Then the ratio of the two segments is ...

  (4/7) : (3/7) = 4 : 3

Answer:

Given

Hope it helps..

Step-by-step explanation:

The options that apply are:

4/18= 6/27

3/4= 9/12

How to check:

Multiple the middle two terms

Then divide the product by one of the outer terms

If you get the other outer term, its a valid proportion

Answer:

C

Step-by-step explanation:

The y-intercept is at x=0, y=3.

Answer:

2

Step-by-step explanation:

m= (y-y1)/(x-x1)

Points are (3, -2) and (6, 4)

m= (-2-4)/(3-6)= -6/-3= 2

m=2 to replace ? mark

Answer:

33

Step-by-step explanation:

V = 3*2 * 5 1/2

V = 6 * 11/2

V = 33

Answer:

V=whl

Step-by-step explanation:

V=51/2 * 3*2

V=153

Answer:

Step-by-step explanation:

Using SOH CAH TOA in trigonometry identity to find the sin Y, cos Y and Tan Y

Note that the hypotenuse is the longest side = 25

The opposite will be the side facing the acute angle Y

Opposite = 7

Adjacent = 24

For Sin Y

[tex]\sin =\frac{Opposite}{Hypotenuse}[/tex]

Sin Y = 7/25

For cos Y:

[tex]\cos Y = \frac{Adjacent}{Hypotenuse}[/tex]

Cos Y = 24/25

For tan Y:

[tex]\tan Y = \frac{Opposite}{Adjacent }[/tex]

Tan Y = 7/24

Answer:

Since the slope is -2 and y-int. is 3 the slope-intercept form is y = -2x + 3 which in standard form is 2x + y = 3.

Answer:

y = -2x + 3

Step-by-step explanation:

→ We know the slope so we can automatically plug that into the y = mx + c formula so,

y = -2x + c

→ Now we substitute in the coordinates (0,3) to find the c value and therefore complete the equation

y = -2x + c

3 = ( -2 × 0 ) + c ⇔ 3 = 0 + c ⇔ c = 3

y = -2x + 3

Answer:

[tex]h=\frac{1}{3} \pi r^{2} v[/tex]

Step-by-step explanation:

height is equal to one third times pi times radius squared times volume

The expression of the volume of the cone in terms of height H will be as H = 3V/(πR²).

A mixture of variables, numbers, addition, subtraction, multiplication, and division are called expressions.

An expression is a mathematical proof of the equality of two mathematical expressions.

As per the given volume of the cone,

V=(1/3)πR²H

Manipulate the above formula as,

[V (3/1)]/(πR²) = H

H = 3V/(πR²)

Hence "The expression of the volume of the cone in terms of height H will be as H = 3V/(πR²)".

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Step-by-step explanation:

You hiked 5400 - 3800 = 1600 feet in 4 hours so the mean change is 1600 / 4 = 400 ft/hour.

Answer:

Finding the vertex by completing the square

1) The vertex = (4/3, -4/3)

2) The vertex = (-1/2, 36)

3) The vertex = (2/3, 26/3)

Finding the value of x by completing the square

1) x = 1 or -4

2) x = 3/2 or -7/2

3) x = 1 or -3

Step-by-step explanation:

Finding the vertex by completing the square

The vertex form of the quadratic equation y = ax² + bx + c is written as follows;

y = a(x - h) + k

Therefore, we have;

Y = 3·x² + 4 - 8·x = a(x - h)² + k

Hence, a  = 3

Which gives;

3×(x² - 2·x·h + h²) + k

Hence, we have 3×2×h = 8

h = 8/6 = 4/3

The constant term = k

We note that 3 × h² + k = 4

∴ k = 4 - 16/3 = -4/3

The vertex form is therefore;

Y = 3(x - 4/3)² - 4/3

The vertex = (4/3, -4/3)

2) Where Y = 4·x² + 4·x + 36

a = 4

4× -2·h = 4

∴ h = 4/(4 × (-2)) = 4/-8 = -1/2

Also, 4 × h² + k = 36

Which gives;

4 × (-1/2)² × k = 36

k = 36

The vertex form becomes

y = 4(x - (-1/2)) + 36

The vertex = (-1/2, 36)

3) Where Y = -3·x² + 4·x + 10, we have

a = -3

3×2×h = 4

∴ h = 4/(2×3) = 2/3

a×h² + c = k

-(3)×(2/3)² + 10 =  26/3

Which gives;

Y = -3(x - 2/3) + 26/3

The vertex = (2/3, 26/3)

To find the value of x by completing the square, we have;

1) 2·x² = -6·x + 8

2·x² + 6·x =  8

2·(x² + 3·x) = 8

x² + 3·x = 8/2 = 4

x² + 3·x + (3/2)² = 4 + (3/2)² = 25/4

(x + 3/2)² = 25/4

∴ x + 3/2 = ±5/2

x = 5/2 - 3/2 or -5/2 - 3/2

x = 1 or -4

2) 8·x² + 16·x = 42

8·(x² + 2·x) = 42

x² + 2·x = 42/8 = 21/4

x² + 2·x + 1 = 21/4 + 1 = 25/4

(x + 1)² = 25/4

x + 1 = √(25/4) = ± 5/2

x = 5/2 - 1 or -5/2 - 1

∴ x = 3/2 or -7/2

3) -x² + 2·x = -3

-x² + 2·x = -3

-1×(-x² + 2·x) = -1 ×-3 = 3

x² - 2·x = 3

x² - 2·x + 1 = 3 + 1 = 4

(x - 1)² = 4

x - 1 = √4 = ±2

∴ x = 2 - 1 or -2 - 1

x = 1 or -3

Answer:

Step-by-step explanation:

area of side triangles=2(1/2×6×4)=24 units²

area of 3 rectangles=6×7+2(5×7)==42+70=112 units²

or=(6+5+5)×7=16×7=112 units²

Total surface area=24+112=136 units²

Answer:

D

Step-by-step explanation:

Because its a line and the only three undefined terms are line,point,plane

Answer:

complementary, b = 90 - 37 = 53

step-by-step explanation:

Answer:

see below

Step-by-step explanation:

These angles are complementary.

b + 37 = 90

b = 53°

Answer:

(i) ∠ABH  = 14.5°

(ii) The length of AH = 4.6 m

Step-by-step explanation:

To solve the problem, we will follow the steps below;

(i)Finding  ∠ABH

first lets find <HBC

<BHC + <HBC + <BCH  = 180°  (Sum of interior angle in a polygon)

46° + <HBC  + 90 = 180°

 <HBC+ 136°  = 180°

subtract 136 from both-side of the equation

 <HBC+ 136° - 136°  = 180° -136°

 <HBC  = 44°

lets find <ABC

To do that, we need to first find <BAC

Using the sine rule

[tex]\frac{sin A}{a}[/tex] =  [tex]\frac{sin C}{c}[/tex]

A = ?

a=6.9

C=90

c=13.2

[tex]\frac{sin A}{6.9}[/tex] = [tex]\frac{sin 90}{13.2}[/tex]

sin A = 6.9 sin 90  /13.2

sinA = 0.522727

A = sin⁻¹ ( 0.522727)

A ≈ 31.5 °

<BAC  = 31.5°

<BAC + <ABC + <BCA = 180° (sum of interior angle of a triangle)

31.5° +<ABC + 90° = 180°

<ABC  + 121.5°  = 180°

subtract 121.5° from both-side of the equation

<ABC  + 121.5° - 121.5°  = 180° - 121.5°

<ABC = 58.5°

<ABH = <ABC - <HBC

           =58.5° - 44°

            =14.5°

∠ABH = 14.5°

(ii) Finding the length of AH

To find length AH, we need to first find ∠AHB

<AHB + <BHC = 180°  ( angle on a straight line)

<AHB + 46° = 180°

subtract 46° from both-side of the equation

<AHB + 46°- 46° = 180° - 46°

<AHB  = 134°

Using sine rule,

[tex]\frac{sin 134}{13.2}[/tex]  = [tex]\frac{sin 14.5}{AH}[/tex]

AH = 13.2 sin 14.5 / sin 134

AH≈4.6 m

length AH = 4.6 m

Answer: tan(70)=x/800

Step-by-step explanation:

Since we are looking at the altitude and x and 800 are given, we will need tangent. Tangent is opposite/adjacent. We can eliminate sin(70). Between our 2 tangent choices, the answer is tan(70)=x/800. Tan(70)=800/x is very close but incorrect. 800/x is adjacent/opposite. That is not a trigonometric function. We are looking for opposite/adjacent.

Answer:

H' = (4, -2)

Step-by-step explanation:

Translating point H three units up and one unit right places it at (4, 2).

Then after a reflection across the x-axis, the y value is reversed, and the point is placed at (4, -2)

Answer:

6.4

Step-by-step explanation:

By the Pythagorean Theorem:

[tex]c=\sqrt{5^2+4^2}= \\\\\sqrt{25+16}= \\\\\sqrt{41}\approx 6.4[/tex]

Hope this helps!

Answer:

To solve we need to use pythogorean theorm. So first we take the square of both giving us 25, 16. Then we add them and get 41. So the answer is squareroot of 41 and if you round you get 6.4

Answer:

B. A reflection across the y axis.

Step-by-step explanation:

Only B. A reflection across the y axis will work because all the other options make it move somewhere else or flip it upside down. The trapezoid has a line of symmetry down the y-axis so reflecting it across the y-axis will make the same exact figure in the same exact spot.

Answer: B

Step-by-step explanation:

The area of a circle is pi*radius^2. But only a diameter is given, so in order to find the radius, you must divide the diameter by 2:

3.6/2 = 1.8

Now, you can plug the radius, 1.8, into the equation pi*radius^2 ([tex]\pi r^{2}[/tex]):

[tex]\pi (1.8)^2 = \pi(3.24)[/tex] = about 10.18

Lastly, you must divide the area 10.18 by 2 because you are looking for only half the area.

10.18/2 = 5.09

The area of the shaded region is 5.09 square cm if the radius of the circle is 1.8 cm, option (B) is correct.

It is described as a set of points, where each point is at the same distance from a fixed point (called the centre of a circle)

We have:

The diameter of the circle = 3.6 cm

The radius of the circle = 3.6/2 = 1.8 cm

Area of shaded region = (180/360)π(1.8)²

Area of the shaded region = 5.089 ≈ 5.09 square cm

Thus, the area of the shaded region is 5.09 square cm if the radius of the circle is 1.8 cm, option (B) is correct.

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