50
The graph shows a proportional relationship between the
number of kilometers traveled by a bicycle (y) and the number of
minutes (x).
45
40
35
30
Distance traveled (km)
What is the unit rate, expressed in kilometers per minute?
25
20
O 0.30 km/min
15
(40, 12)
O 0.33 km/min
03.10 km/min
->
5 10 15 20 25 30 35 40 45 50
Time (min)
3.33 km/min
1
2
3
4
5
6
7
8
Next
9
10

Answers

Answer 1

Given a graph with a line running through coordinates (0,0) and coordinates (40,12), the unit rate of the relationship between the number of kilometers traveled by a bicycle (y) and the number of minutes (x) is given by the slope of the line.

Related Questions

I just need help with Part C

Answers

the domain is simply the values that "t" or the independent variable can safely take whilst not producing any extraneous values.

well, the context from the table is that it starts at time of 10 days and goes on to the 40th day, so "t" starts off at 10 and ends at 40, well, that is the domain in context, [10 , 40].

1. a) Solve the following quadratic-quadratic system of equations graphically.
y– 3x² +12x = 16
y + 4x²– 16x = -12

b.) GRAPH

c.) verify your solution (s) algebraically.

Answers

Answer:

see explanation

Step-by-step explanation:

look at the photo

The perimeter of a rectangle is 12 meters. Find the maximum area of such a rectangle. You must support your answer with calculus; an answer without support will receive no credit

Answers

Answer:

Step-by-step explanation:

12 divided by 4 is 3

3 multiplied by 3 is 3

The maximum area of the rectangle that has a perimeter of 12 meters would be equal to 6x - x^2.

What is the area of the rectangle?

The area of the rectangle is the product of the length and width of a given rectangle.

The area of the rectangle = length × Width

Let x be the length of the rectangle and y be the width of the rectangle

The perimeter of a rectangle = 2( l + b)

12 = 2(x + y)

(x +y) = 6

y = 6- x

The area of the rectangle = length × Width

= x × y

= x ( 6- x)

= 6x - x^2

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Ann's car can go 288 miles on 8 gallons of gas. During a drive last weekend, ann used 5 gallons of gas. How far did she drive?

Answers

Answer:

180 miles

Step-by-step explanation:

Ann's car can go 288 miles on 8 gallons

Base rate

= No. of miles / No. of gallons= 288 / 8⇒ 36 miles per gallon [Important to rememeber!]

5 gallons

Distance for 5 gallons = base rate x 5Distance = 36 x 5Distance = 180 miles

Answer:

180

Step-by-step explanation:

288:8=36 means with 1 gallon can drive 36 km

5 gallon used last week so 5*36 =180 km

Find the x-intercept and y-intercept of the line.
=+6x3y−6

Answers

The answer is:

The x and y-intercepts are 3/7 and -3
Respectively.The slope is 7.

Find the area of the shaded polygon.

Answers

Answer:

A = 64 sq. un

Step-by-step explanation:

This is a trapezium.

The formula od an area of a trapezium:

A = 1/2(a + b) · h

We have:

a = 10, b = 6, h = 8

substitute:

A = 1/2 · (10 + 6) · 8 = 1/2 · 16 · 8 = 8 · 8 = 64

Answer:

A = 64 sq. un

Step-by-step explanation:

6 * 8 + (4 * 8)/2 =

48 + 4 * 4 =

48 + 16 =

5x+9y=−10
7x+10y=−1

help how do i solve this

Answers

Answer:

{x,y} = {7,-5}

Step-by-step explanation:

Solve equation [2] for the variable y

[2] 10y = -7x - 1

[2] y = -7x/10 - 1/10

Plug this in for variable y in equation [1]

[1] 5x + 9•(-7x/10-1/10) = -10

[1] -13x/10 = -91/10

[1] -13x = -91

Solve equation [1] for the variable x

[1] 13x = 91

[1] x = 7

By now we know this much :

x = 7

y = -7x/10-1/10

Use the x value to solve for y

y = -(7/10)(7)-1/10 = -5

Answer:

(x , y) = (7 , -5)

Step-by-step explanation:

{x, y} = {7, -5}

System of Linear Equations entered :

1. 5x + 9y = -10

2. 7x + 10y = -1

(Shown on graph below)

Solve equation 3 for the variable the y

10y = -7x - 1

y = -7x/10 - 1/10

Plug this in for variable y in equation 1

5x + 9•(-7x/10-1/10) = -10

-13x/10 = -91/10

-13x = -91

Solve equation 1 for the variable x
13x = 91

x = 7

By now we know this much :

x = 7

y = -7x/10-1/10

Use the x value to solve for y

y = -(7/10)(7)-1/10 = -5

Hence, (x , y) = (7 , -5)

Which quadratic function in standard form has the values a = –3. 5, b = 2. 7, and c = –8. 2? f(x) = 2. 7x2 – 8. 2x – 3. 5 f(x) = 2. 7x2 – 3. 5x – 8. 2 f(x) = –3. 5x2 – 8. 2x 2. 7 f(x ) = –3. 5x2 2. 7x – 8. 2.

Answers

The answer which would absolutely be pi (I’m incorrect am I.)

yo how you people doing what's -25 - 57 + 35 ?????

Answers

Answer:

-47

Step-by-step explanation:

you don't you use the calcaulator

For this question you simply do -25 - 57 which is -82, -82 + 35 is -47
The answer is -47

531x22 long mutipulcation

Answers

Answer:

11,682 the answer is that hope you get a A!

531

×22

+1062

=11682

Therefore:

531 × 22 = 11,682

The population of Bloom Falls, Mass (population 937)is slowly moving to a
bigger city. Every year the population drops by 4.5%.
What is the population after 3 years

Answers

Answer:

Step-by-step explanation:

When the population drops by 4.5%, there will be (1 - 4.5%) = 0.955 portion of the original population staying. When it happens 3 years in a row with an original population of 937, there will be:

937*0.955*0.955*0.955 = 816.11

~816 people staying in Bloom Falls.

Determine whether or not the equation below is balanced. If it isn’t balanced, write the balanced form. Also, identify the reactant(s) and product(s) in this equation. Finally, label this as one of the five types of reactions: combination, decomposition, substitution, double replacement, or reversible.

Zn+ HCl → ZnCl2 + H2

Answers

Answer:

1. The equation isn't balanced because there aren't equal numbers of hydrogen or chlorine atoms on both sides of the equation. To correct this, a coefficient of 2 must be placed in front of HCl on the left-hand side of the equation.

Zn+2HCl→ZnCl2+H2

Zn and 2HCl are the reactants; ZnCl2 and H2 are the products. This is a substitution reaction because a free element (Zn) replaces another element (H) in a compound.

2. This is a balanced equation because the same types of atoms and the same numbers of each atom are present on both sides of the equation. 8 S atoms are found on both sides of the equation, and 48 F atoms are found on both sides of the equation. S8 and 24F2 are the reactants; 8SF6 is the product. This is a combination reaction because two substances (S8 and 24F2) undergo a chemical union to form a more complex substance (8SF6).

S8+24F2→8SF6

3. In ferric oxide (Fe3O4), there are 3 atoms of iron (Fe) and 4 atoms of oxygen (O). From the Periodic Table of Elements, we know that the atomic mass of iron is 55.8457 and the atomic mass of oxygen is 15.9994.

Fe3 = 55.8457 × 3 = 167.5371

O4 = 15.9994 × 4 = 63.9976

167.5371 + 63.9976 = 231.5347 (231.535 rounded)

Therefore, the molecular mass of ferric oxide is 231.535.

4. The percentage composition of chlorine in CaCl2 is derived as follows:

The molecular mass of the entire compound is:

Ca = 40.078 × 1 = 40.078

Cl2 = 35.4527 × 2 = 70.9054

40.078 + 70.9054 = 110.9834 (110.983 rounded)

The atomic mass of each element (or its multiple) is divided by the molecular mass of the compound:

Ca = 40.078 ÷ 110.983 = 0.361

Cl2 = 70.9054 ÷ 110.983 = 0.639

Multiplying each by 100 will turn these into percents. Therefore, the percentage composition of chlorine is 63.9%.

5. i. a, c, f, h

ii. e

iii. b, d, g, i

iv. i

Step-by-step explanation:

PENN FOSTER

The given chemical equation represents a type of reaction known as a single replacement (or displacement) reaction. In this reaction, zinc (Zn) displaces hydrogen (H) from hydrochloric acid (HCl) to form zinc chloride ([tex]ZnCl_2[/tex]) and hydrogen gas ([tex]H_2[/tex]).

The given chemical equation is:

[tex]Zn + HCl \rightarrow ZnCl_2 + H_2[/tex]

To determine if the equation is balanced, we need to check if the number of atoms of each element is the same on both sides of the equation.

On the left side (reactant side):

Zinc (Zn) atoms: 1

Hydrogen (H) atoms: 1

Chlorine (Cl) atoms: 1

On the right side (product side):

Zinc (Zn) atoms: 1

Hydrogen (H) atoms: 2 (from[tex]ZnCl_2 + H_2[/tex])

Chlorine (Cl) atoms: 2 (from [tex]ZnCl_2[/tex])

The number of hydrogen (H) and chlorine (Cl) atoms is not balanced between the reactants and products. To balance the equation, we need to have the same number of atoms on both sides.

Balanced equation:

[tex]Zn + 2HCl → ZnCl_2 + H_2[/tex]

Now, the equation is balanced with the following number of atoms on both sides:

On the left side (reactant side):

Zinc (Zn) atoms: 1

Hydrogen (H) atoms: 2

Chlorine (Cl) atoms: 2 (2 from HCl)

On the right side (product side):

Zinc (Zn) atoms: 1

Hydrogen (H) atoms: 2 (from H2)

Chlorine (Cl) atoms: 2 (from ZnCl2)

Identification of reactants and products:

Reactants: Zn (zinc) and HCl (hydrochloric acid)

Products: [tex]ZnCl_2[/tex] (zinc chloride) and [tex]H_2[/tex] (hydrogen gas)

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Calculate the area of the equilateral triangle using the formula for area of a regular polygon, and compare it to Bianca’s answer. The apothem, rounded to the nearest tenth, is units. The perimeter of the equilateral triangle is units. Therefore, the area of the equilateral triangle is , or approximately 43. 5 units2. The calculated areas are.

Answers

The calculated areas of both are the same instead of using the different formulas that are 43. 5 squared unit.

What is the area of a regular polygon?

The area of the polygon is the product of half of the apothem of the triangle and perimeter.

The area of the polygon = [tex]\frac{1}{2} \times h \times p[/tex]

The side of the triangle is 10 units.

Apothem of an equilateral triangle

[tex]s = \frac{\sqrt{3} a}{6}[/tex]

s= [tex]\sqrt{3} \times 10/6[/tex]

s = 2.88

Here, a is the side of the triangle.

Thus the apothem of the triangle is 2.9 units.

The perimeter of the equilateral triangle is equal to the three times the sides.

Perimeter of the equilateral triangle ,

P = 3(10)

P = 30

Therefore, the perimeter of the equilateral triangle is 30 units.

The area of the equilateral triangle-

The area of the polygon = [tex]\frac{1}{2} \times h \times p[/tex]

A = [tex]1/2 \times 2.9 \times 30[/tex]

A = 43.5

Thus the area of the equilateral triangle is 43.5 squared units.

Therefore, The calculated areas of both are the same instead of using the different formulas.

Learn more about the apothem;

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Answer:

(A) 2.9

(A)1/2(2.9)(30)

(D)The same despite using different formulas

Step-by-step explanation:

I did it

Which number rounds to 5,600 when its rounded to the nearest hundred?

Answers

Answer:

number is either 5600 or 5550 or 5560 or 5570 or 5580 or 5590

Step-by-step explanation:

Do mark BRAINLIEST

Four friends went to a basketball game. Each ticket
cost $80 and all four friends bought jerseys
for $15 each.
a. What does the expression 4(80 + 15) represent?
Explain in words.
b. Evaluate the expression in question 1.
c. Evaluate the expression 4.80 +4. 15. What do
you notice?

Answers

Answer:

a) four friends bought each ticket for $80 and also

bought a Jersey for $15

b) 4(95)

= 380

c) 8.95 - the answer is in decimal

Find the angle measurements and side lengths for the triangle below

Capital letters are angels , lower case letters are sides

A=

B=

C=

a=

b=

c=

Answers

Answer:

Step-by-step explanation:

Sin(A) = 5/7

Sin(A) = 0.7143

A = sin-1(0.7143

A = 45.58

B = 180 - 45.58 - 90

B = 44.43

C = 90

c = 7

a = 5

b^2 = c^2 - a^2

b^2 = 7^2 - 5^2

b^2 = 49 - 25

b^2 = 24

b = 4.899

Reflect (-5,-3) over the -axis.
Then translate the result down 2 units.
What are the coordinates of the final point?

Answers

Answer:

(-5,-1)

Step-by-step explanation:

Figure #2 Volume =____ in^3

Answers

Answer:

480 in^3

Step-by-step explanation:

Multiplying the length of each of the sides together gives the volume, so [tex]12*4*10=480[/tex]

480in^3

you must multiply each side together in order to find the volume

I need help making a proof for geometry! Here is the question I really need help on this question my marking period ends soon!
There are 2 parts I have to make a proof and then I also have to find the measures of AB and AC!

Answers

Answer:

Step-by-step explanation:

Johan can get lunch at Joe’s Deli for $12, and he can get lunch at Majestic for $8. In one month, Johan spent $96 on lunches (and he only went to those two places, and he always got the same thing). Which equation represents possible combinations of how many lunches Johan bought at Joe’s and Majestic?
A)y=4x+96
B)12x+8y=20
C)y-8=96(x-12)
D)12x+8y=96

Answers

Answer: D

Step-by-step explanation:

It’s really obvious just circle D

Identify C on the following diagram

Answers

Answer: X-axis

Step-by-step explanation: The arrow is pointing to the horizontal line on the on the graph. That horizontal line is the x-axis.

What are the step to solving
3(5x - 2 = 3x + 8 - 2x

Answers

this should be the answer

A tree is broken at a height of 5 m from the ground and its top touches the ground at a

distance of 12 m from the base of the tree. Find the original height of the tree.

Answers:

Answers

Answer:

AB = 18 m . Thus, the original height of the tree = 18 m.

Step-by-step explanation:

Use the diagram below for Questions 1 and 2. It would be helpful to draw and label the diagram in your journal. Labeling the angle and arc measures will make the problems easier.

A local TV news station has their cameras positioned at Points A, X, and B for their newscasts.

Answers

Answer: 110 degrees

Step-by-step explanation:

A local TV news station has its cameras positioned at Points A, X, and B for their newscasts.

So the m<1 = 110°

Is the measure of arc and angle the same?

An arc of a circle is a section of the circumference of the circle between two radii. A central angle of a circle is an angle between two radii with the vertex at the center. The central angle of an arc is the central angle subtended by the arc. The measure of an arc is the measure of its central angle.

Please check the attached file for an explanation.

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write an equation for a circle that has a center at (-6,5) and passes through the point (-11,3)

Answers

Answer:

Your equation would be:
(x + 6)² + (y - 5)² = 29

Step-by-step explanation:

Have a great rest of your day
#TheWizzer

4 qt =
С

Show me the steps please

Answers

Answer:

cups =15.99994. according to the holy bible.

Step-by-step explanation:

Please I need help
Will give brainlest answer !!!!!!

Answers

Answer:

See below ↓

Step-by-step explanation:

We need to check the different time intervals to find the max. height

t = 0 or 1 [both give same result]f(1) = -16(1) + 16(1) + 12 = 12 feet

2. t = 2

f(2) = -16(2)² + 16(2) + 12 = -20 feet

⇒ Clearly as she is diving, her maximum height will be her initial height which is 12 feet

⇒ To achieve this, it takes her 0 seconds [initial height = no time needed]

Taking f(x) = 0 [surface of water → just touching/hit the water]

0 = -16x² + 16x + 124x² - 4x - 3 = 04x² - 6x + 2x - 3 = 02x(2x - 3) + 1(2x - 3) = 0(2x + 1)(2x - 3) = 0x is positivex = 3/2 = 1.5 seconds

⇒ After 1 second, she is 12 feet above the water

⇒ The diving board is 12 feet above the water

Express in the form n : 1. Give n as a fully simplified fraction. 10 : 12

Answers

Answer:

[tex]\frac{5}{6}:1[/tex]

Step-by-step explanation:

[tex]10:12[/tex] divide both sides of this ratio by 12 to give a ratio in the form [tex]n:1[/tex]

[tex]\frac{10}{12}:1[/tex] which simplifies to [tex]\frac{5}{6}:1[/tex]

Theresa entered a photo contest. Each entry was judged by three judges in four different categories. Each category was a percent of the overall score: Originality was 20%, technique was 35%, composition was 20%, and impact was 25%. Entries could earn up to 50 points in each category.

Theresa's scores are shown in the table.

Judge Originality Technique Composition Impact
A 40 45 30 45
B 45 45 40 40
C 35 40 35 40
This equation can be used to find her weighted score for each judge.

weighted score = (weight⋅originality)+(weight⋅technique)+(weight⋅composition)+(weight⋅impact)

What was Theresa's weighted score from each judge?

Enter your answers in the boxes.

Theresa's weighted score for Judge A was
.

Theresa's weighted score for Judge B was
.

Theresa's weighted score for Judge C was
.

Question 2
What is Theresa's overall average score from the three judges?

Enter your answer in the box. Round your answer to the nearest tenth.

points

Answers

Step-by-step explanation:

Judge A: 41 (0.20 x 40)+(0.35 x 45)+(0.20 x 30)+(0.25 x 45)

Judge B: 42.75 (0.20 x 45)+(0.35 x 45)+(0.20 x 40)+(0.25 x 40)

Judge C: 38 (0.20 x 35)+(0.35 x 40)+(0.20 x 35)+(0.25 x 40)

Total score: 40.6

Make a number line and mark all the points that represent the following values of x. X≤2 or x<5

Answers

The inequalities x≤2 or x<5 are unequal expressions

The common points of both inequalities are {.......0,1,2}

What are inequalities?

Inequalities are expressions that have unequal values

What are number lines?

Number lines are lines that are used to represent numbers and expressions at regular intervals

How to determine the number line?

The inequalities are given as;

x≤2 or x<5

This means that:

x is less than or equal to 2

And

x is less than 5

So, we have:

x≤2 = {.......0,1,2}

x<5 = {.......0,1,2,3,4}

The common points of both inequalities are:

x≤2 or x<5 = {.......0,1,2}

See attachment for the number line