Which graph represents a linear function that has a slope of 0.5 and a y-intercept of 2? On a coordinate plane, a line goes through points (negative 2, 0) and (0, 1). On a coordinate plane, a line goes through points (0, 2) and (4, 0). On a coordinate plane, a line goes through points (0, 2) and (2, 3). On a coordinate plane, a line goes through points (negative 4, 0) and (0, 2).

Answer:

h = 1.38 cm

Step-by-step explanation:

The question is at what value is the height of both cylinders the same:

The area of the circular base on each cylinder is:

[tex]Area=\pi r^2\\A=4\pi \ cm^2\\B=25\pi \ cm^2[/tex]

The initial volume in cylinder A is:

[tex]V=4\pi *10\\V=40\pi\ cm^3[/tex]

We have that Va + Vb = 40π. The height of water in each cylinder as a function of volume is:

[tex]h_A=\frac{V_a}{4\pi}\\h_B=\frac{V_b}{25\pi}[/tex]

If both heights are the same:

[tex]\frac{V_a}{4\pi}=\frac{V_b}{25\pi}\\V_b=\frac{25}{4}V_a \\V_a+V_b=40\pi\\V_a+\frac{25}{4}V_a=40\pi\\V_a=5.5172\pi\ cm^3[/tex]

The height 'h' is:

[tex]h=\frac{5.5172\pi}{4\pi}\\ h=1.38\ cm[/tex]

Answer:

x=45

Step-by-step explanation:

the sum of straight angle=180

2x+45+x=180

3x=180-45

3x=135

x=135/3=45

Answer:

45 degree

Step-by-step explanation:

Since it is an straight line it means all of the added angles together equal 180

2x+45+x=180

3x+45=180

3x=135

x=135/3

x=45

Hey there! :)

Answer:

[tex]\frac{121}{9}[/tex]

Step-by-step explanation:

We can solve this by first converting -3 2/3 to an improper fraction:

[tex]-3\frac{2}{3} = \frac{-11}{3}[/tex]

Square the fraction:

[tex](\frac{-11}{3})^{2} = (\frac{-11}{3}) * (\frac{-11}{3}) = \frac{121}{9}[/tex]

Answer:

67

Step - Step - Explanation

Answer:

The chemical element loses 4% of its weight everyday

Step-by-step explanation:

Here, we are interested in knowing the percentage weight loss of the chemical each day.

The key to answering this is looking at the expression inside the bracket.

We can express M(t) = 169•(0.96)^t as

M(t) = 169•(1-0.04)^t

So what this means is that we need to find the percentage value corresponding to 0.04 since it is a constant term here

Mathematically, 0.04 is same as 4/100, so we can clearly say that the constant percentage loss is 4%

Answer:

0.96

Step-by-step explanation:

The exponential function modeling the mass of the sample is of the form M(t)=A⋅Bt. Therefore, AAA determines the initial mass of the sample (when Clemence began studying it) and BBB determines the daily change in the mass of the sample.

The mass of the sample is multiplied by \it{0.96}0.960, point, 96 every day. Since 0.96<10.96<10, point, 96, is less than, 1, the mass of the sample shrinks by a factor of 0.960.960, point, 96 every day.

Every day, the mass of the sample shrinks by a factor of 0.960.960, point, 96.

The slope of a line is the average rate of change of the line.

The graph that represents [tex]\mathbf{y = x - 2}[/tex] is graph (a)

The line equation is given as:

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

To do this, we simply test the options until we get the correct graph

(a) Line that passes through (-2,-4) and (0,-2)

This means that:

[tex]\mathbf{(x_1,y_1) = (-2,-4)}[/tex]

[tex]\mathbf{(x_2,y_2) = (0,-2)}[/tex]

Substitute values for x1 and y1 in [tex]\mathbf{y = x - 2}[/tex]

[tex]\mathbf{-4 = -2 - 2}[/tex]

[tex]\mathbf{-4 = -4}[/tex]

This point is true for [tex]\mathbf{y = x - 2}[/tex]

Substitute values for x2 and y2 in [tex]\mathbf{y = x - 2}[/tex]

[tex]\mathbf{-2 = 0 - 2}[/tex]

[tex]\mathbf{-2 = - 2}[/tex]

This point is also true for [tex]\mathbf{y = x - 2}[/tex]

Hence, the graph that represents [tex]\mathbf{y = x - 2}[/tex] is graph (a)

See attachment for the graph of [tex]\mathbf{y = x - 2}[/tex]

Read more about linear functions at:

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Answer:

graph 4 i think

Step-by-step explanation:

Answer:

Step-by-step explanation:

[tex]\frac29x+3>4\frac59\\{}\quad-3\quad-3\\\\\frac29x\ >\ 1\frac59\\\div\frac29\quad \, \div\frac29\\\\x>1\frac59\div\frac29\\\\x>\frac{14}9\times\frac92\\\\x>\frac{7}1\times\frac11\\\\x>7[/tex]

That means every x wich is greater than 7

Answer:

AB =√( (13 - 5)² + (13-12)²) = √(8² + 1²) = √65

BC = √( (13 - 11)² + (13-5)²) = √(2² + 8²) = √68

AC =√( (11 - 5)² + (5-12)²) = √(6² + 7²) = √85

AB ≠ BC ≠ AC ∴ ABC is Scalene

Step-by-step explanation:

A scalene triangle is a triangle in which all the sides are different lengths.

In order to prove that ABC is scalene, we need to calculate the sidelengths and show them to be different.

The line between points A(x₁, y₁) and B(x₂, y₂) can be denoted AB.

the difference in x-coordinate is x₂ - x₁, and the difference in y-coordinates is y₂ - y₁.

this forms a triangle of length x₂ - x₁ and height y₂ - y₁ and the hypotenuse AB can be calculated using pythagoras' theorem:

AB = √((x₂ - x₁)² +(y₂ - y₁)²)

The triangle ABC with vertices A(5, 12) B(13, 13) and C (11,5) is a scalene triangle.

A triangle is a three-sided polygon that consists of three edges and three vertices.

The given three vertices of triangle ABC are A(5, 12) B(13, 13) and C (11,5).

We know that in a scalene triangle all the three sides lengths are different.

Let us find distance of AB,BC, CA

Distance=√(x₂-x₁)²+(y₂-y₁)²

A(5,12), B(13, 13)

AB=√(13-5)²+(13-12)²

=√8²+1²=√64+1=√65

B(13, 13) C (11,5).

BC=√(11-13)²+(5-13)²

=√4+64=√68

C (11,5).A(5,12),

CA=√(5-11)²+(12-5)²

=√(-6)²+(7)²

=√36+49=√85

The lengths of triangle ABC are different so the triangle is Scalene.

Hence the triangle ABC with vertices A(5, 12) B(13, 13) and C (11,5) is a scalene triangle.

To learn more on Triangles click:

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Answer:

see below

Step-by-step explanation:

red triangle= 36/2= 18

orange circle= 45- 18= 27

blue square= 53- 27= 26

Step-by-step explanation:

red= 18

yellow= 27

blue= 26

Answer:

5

Step-by-step explanation:

if u substitute the x's then u can see that it makes sense

ex. 5(1)+5 = 10 true

ex. 5(5)=5 = 30 true

hope this helps

Answer:

The answer is below

Step-by-step explanation:

A function shows relationship between variables usually between inputs (an independent variable) and outputs (a dependent variable).

C(F) = 5/9(F - 32) shows the relationship between C and F. C(F) is the temperature in degree Celsius for any temperature in Fahrenheit. This means that the function C(F) represents the conversion of temperature from Fahrenheit to degree Celsius.

Answer:

yes; by AA~

Step-by-step explanation:

The triangles are similar because vertical angles are congruent and alternate interior angles are both 39 degrees.

Answer:

85 ft^2

Step-by-step explanation:

Let us calculate the area of the triangles and the base.

For the triangles, we can use the area formula and get 5 • 3 which is 15. Since there are 4, we multiply it by 4 and get 60.

For the base, we have 5 • 5, which is 25. Adding it together, we get 85.

If you are stuck on how to find surface area, all you have to do is find the area of each side and add.

I hoped this helped!

Answer: hexacontagon

has 60 sides and interior angles is 10440 degrees.

Step-by-step explanation:

I kinda think its wrong but hope this helps, if its wrong, im sorry

Answer:

Heather's polygon has 3 sides.

Step-by-step explanation:

S = 60x       Try plugging in number for x that will work

I found that when x = 3, the equation was true

S = 60x     Substitute

S = 60(3)   Multiply

S = 180      If the sum of the interior angles is 180, the only shape that can be made is a triangle, which has 3 sides.

Answer:

C.  

Step-by-step explanation:

5/8 = 20/32

20/32 ÷ 2 = 10/16

10/16 ÷ 2 = 5/8

Answer:

C

Step-by-step explanation:

You can see that both of the numbers are being multiplied by 4/4 which gives you a proportional relationship unlike the other answers there.

Answer:

b || c

Step-by-step explanation:

a can only be parallel to c is if c is parallel to either a or b as both a and b are parallel to each other. By the way || means that they are parallel lines.

Answer:

x+2

Step-by-step explanation:

write the problem out and then understand

Answer:

3(3a+2b)

Step-by-step explanation:

9a+6b

3 times 3a=9a

3 times 2b=6b

Answer:

3(3a+2b)

Step-by-step explanation:

9a+6b

3²•a+(2.3)b

3(3²•a/3 +2•3b/3)

3(3²-¹ •a +2b)

3(3a+2b)

Answer:

number of gallons of water the family will use every morning = 50  gallons

Step-by-step explanation:

Every minutes 2.5 gallons of water flows from the shower . The amount of water disperse by the shower for every 1 minutes is 2.5 gallons. The family using the shower are 4 in numbers . And each of them spend on average of  5 minutes showering .

Let us find how many gallons of water will flow for 5 minutes since family member spent an average of 5 minutes bathing every morning/. Therefore,

2.5 gallons  = 1 minutes

? gallons  =  5 minutes

cross multiply

number of gallons of  water each family member uses every morning = 2.5 × 5 = 12.5 gallons

They are 4 family members in number since each person uses 12.5 gallons of water , 4 of them will use 4 × 12.5 = 50  gallons

Answer:

[tex]y=\frac{-5}{2}x+1.5[/tex]

Step-by-step explanation:

Well the equation we have [tex]y-4=\frac{-5}{2}(x-2)[/tex] is in slope-point form so we have to transfer it to slope intercept look at the first image below to see how I got [tex]y=\frac{-5}{2}x+9[/tex].

So we know that line T which is parallel to line S crosses through point (-1,4)

and we know that the slope stays the same and that its the y intercept has to change so the answer is [tex]y=\frac{-5}{2}x+1.5[/tex]. Look at the image second below.

Answer:

30

Step-by-step explanation:

It's just not a perfect square.

Answer:

30

Step-by-step explanation:

Perfect squares are numbers that can be expressed by another numbers times itself. The only number that is not a perfect square in this list is 30.

Answer:

11%

Step-by-step explanation:

We need to fill the missing cells of the table first and are interested in first row for under age 15

1. 152- 65= 87 for the top left cell

2. 165- (87+60)= 18 for car column on same row

now we have number 18 and the total of the first row is 165:

So the first choice- 11% is the answer

Answer:

11% is the pecentage of students under the age of 15 that travel by car to school.

Answer:

Step-by-step explanation:

[tex]a^{-m}=\frac{1}{a^{m}}\\\\Therefore, \frac{1}{a^{-m}}=a^{m}[/tex]

[tex]11^{-5}[/tex] ÷ [tex]11^{-3} = 11^{-5} * 11^{3}\\\\[/tex]            {[tex]a^{m}*a^{n} = a^{m+n}[/tex]  }

                   [tex]11^{-5+3} \\\\= 11^{-2}[/tex]

Answer:

11^ -2  = 1 / 11^2 = 1/121

Step-by-step explanation:

11^-5 ÷ 11^-3

When the bases are the same, we subtract the exponents when dividing

11 ^ ( -5 - -3)

11 ^ ( -5+3)

11 ^ -2

We know that a^ -b = 1/a^b

1/ 11^2

1/121

Answer:

Reflection.

Step-by-step explanation:

The reflection of the point (x,y) across  the x-axis is the point (x,-y).

The reflection of the point (x,y) across  the line y = x is the point (y, x).

Given the preimage (2,-3).

Therefore, the type of transformation that has occured is Reflection.

Answer:

Δ ABC is right angled

Step-by-step explanation:

If the triangle is right then the longest side squared will equal the sum of the squares on the other 2 sides.

longest side = 65, then

65² = 4225

16² + 63² = 256 + 3969 = 4225

Since 65² = 16² + 63² then Δ ABC is right

Answer:

We can know if it is a right angled triangle by using the Pythagoras theorem ( a²+b²=c²)

Step-by-step explanation:

To identify, we can take the largest length of the triangle as hypotanuse( that is, AC:65) And the rest as base and perpendicular ( 63 and 16 cm)

By applying Pythagoras theorem,

AB²+BC²= AC² ; (63)²+(16)²= (65)²

63² is 3969, 16² is 256… 65² is 4225.

Now, if 63²+16²:65²… then the triangle mentioned is a right angled triangle.

3969+256=4225

LHS = RHS, So, triangle ABC is a right angled triangle as it satisfies the condition of Pythagoras theorem.

Answer:

[-3, -3]

Step-by-step explanation:

Simply divide the matrices together and you should find your solution.

Answer:

Option B.

Step-by-step explanation:

If you begin with one dollar a day there will get you more by the end of the month because on day 2 your on 201 already which is more than you get in that month with one cent.

The first option (A) will give you more money than option (B).

A geometric progression is a sequence in which any element after the first is obtained by multiplying the previous element by a constant which is called a common ratio denoted by r.

The difference between every two successive terms in a sequence is the same this is known as an arithmetic progression (AP).

Given that

Case A). Doubling each day

1 + 2+ 4 + 8 + 16 .... it is form a GP series with common ratio (r) 4/2 = 2

Number of terms (n)

Sum =  30( [tex]2^{30}[/tex] - 1)/(2 - 1) = $2147483464.

Case B). Adding $100 each day

1 + (101 + 201 + 301 ....) it is form a ap series with common difference d = 201 - 101 = 100.

Number of terms = 29

Sum = 1 + 29/2 + [ 2 (101) + 28(100)] = $43530

Hence it is clear that case (A) will give you more money.

For more information about the geometrical progression

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Answer:

The correct answer is B. 880

Step-by-step explanation:

220%=2.2

2.2(400)=880

Answer:

B. 880

Step-by-step explanation:

220% × 400

= 220/100 × 400

= 88000/100

= 880

Answer:

3.5

Step-by-step explanation:

63 divided by 18 is 3.5

35 divided by 10 is 3.5

Answer:  ∠1 = 52°, ∠4 = 40°, ∠7 = 100°, ∠10 = 49°, ∠13 = 65°

Step-by-step explanation:

There are three formulas you need to find the angles. Each formula is based on where the vertex lies.

On the circle: Measure of the angle = (1/2) the arc (Images 1-3)

∠4 = (1/2)°80             ∠10 = (1/2)(18° + 80°)           ∠13 = (1/2)130°

    = 40°                           = (1/2)98°                            = 65°

                                       = 49°

Inside the circle: (1/2) Sum of the Big arc and Little Arc (Image 4)

∠7 = (1/2) (130° + 70°)

    = (1/2)200°

   = 100°

Outside the circle: (1/2) Difference of Big arc and Little Arc (Image 5)

∠1 = (1/2)[(62° + 130°) - (70° + 18°)]

    = (1/2) (192° - 88°)

   = (1/2)104°

   = 52°

I can only add 5 attachments.  If you want to see image 6 (which contains the measures for all of the angles), you will need to ask the question again.  Sorry!