When Deema begins her drive, she is 400 mi from home. For the first two hours, she drives on country roads at

an average rate of 25 mph. Then she drives at an average rate of 75 mph until she gets home. Draw a graph to

represent this situation. Show any calculations you need to determine the graph.

Answer:

5:6

Step-by-step explanation:

20 divided by 4 = 5

24 divided by 4 = 6

So the ratio is 5:6

Answer:

∠DAB=140

∠BAC=60

∠EBF=40

∠ACB=80

∠BCG=100

Step-by-step explanation:

Answer:

V≈471.4cm³

Step-by-step explanation:

V =

[tex] \frac{1}{3} \times \sqrt{2} \times {a}^{3} [/tex]

V= 471.4

Answer:

Here we have given that the all edges if octahedron are 10 cm. We need to find the volume of regular octahedron.

[tex] \rule{300}{1.5}[/tex]

As we know that the formula of volume of octahedron is :

[tex]\longrightarrow{\pmb{\sf{Volume_{(Octahedron)} = \dfrac{1}{3} \times \sqrt{2} {a}^{3}}}}[/tex]

Substituting all the given values in the formula to find the volume of regular octahedron :

[tex]{\longrightarrow{\sf{Volume_{(Octahedron)} = \dfrac{1}{3} \times \sqrt{2} {a}^{3}}}}[/tex]

[tex]{\longrightarrow{\sf{Volume_{(Octahedron)} = \dfrac{1}{3} \times \sqrt{2} \times {(10)}^{3}}}}[/tex]

[tex]{\longrightarrow{\sf{Volume_{(Octahedron)} = \dfrac{1}{3} \times \sqrt{2} \times {(10 \times 10 \times 10)}}}}[/tex]

[tex]{\longrightarrow{\sf{Volume_{(Octahedron)} = \dfrac{1}{3} \times \sqrt{2} \times {(1000)}}}}[/tex]

[tex]{\longrightarrow{\sf{Volume_{(Octahedron)} = \dfrac{1}{3} \times \sqrt{2} \times 1000}}}[/tex]

[tex]{\longrightarrow{\sf{Volume_{(Octahedron)} = \dfrac{ \sqrt{2} }{3} \times 1000}}}[/tex]

[tex]{\longrightarrow{\sf{Volume_{(Octahedron)} = 0.471404 \times 1000}}}[/tex]

[tex]{\longrightarrow{\sf{\underline{\underline{\red{Volume_{(Octahedron)} \approx 471.404 \: {cm}^{3}}}}}}}[/tex]

Hence, the volume of regular octahedron is 471.404 cm³.

[tex] \rule{300}{1.5}[/tex]

Answer:

Your answer would be y= -x + 5

Step-by-step explanation:

Hope I helped!

Answer:

-x+5

Step-by-step explanation:

khan told me ;p

Answer:

2nd choice

Step-by-step explanation:

Answer:

3.2t -2.4

Step-by-step explanation:

Combine like terms then solve (-1.9t +5.1t)+(-3.6+1.2)

Answer:

A. Slope is -12 feet per second

B. Yes, it is constant.

Skills needed: Linear Equations, Substitution and Division

Step-by-step explanation:

1) Solving Part A (we need to find the slope):

2) Using the y-values of 1150 and 1090, and their corresponding x-values (5 and 10 respectively), we can get the slope:

- [tex]\frac{y_2-y_1}{x_2-x_1}[/tex] ==> [tex]\frac{1090-1150}{10-5}[/tex] ==> [tex]1090-1150=-60, 10-5=5[/tex] ==> [tex]\frac{-60}{5}[/tex]

[tex]\frac{-60}{5} =-12[/tex], so the slope is -12.

==================================================================

1) Part B (analysis)

We can see that no matter what 2 y-values and their corresponding x values we use, the slope always is the same. This means that the rate of change is constant.

Answer:

y=-4x+13

Step-by-step explanation:

y=mx+b

slope =

1--3/3-4

4/-1

-4/1

y-1=-4(x-3)

y-1=-4x+12

y=-4x+13

Answer:

[tex]y = -4x + 13[/tex]

Step-by-step explanation:

First, find the slope (denoted by the variable, m). Use the following equation:

slope [tex](m) = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

Let:

[tex](x_1, y_1) = (4 , -3)\\(x_2, y_2) = (3 , 1)[/tex]

Plug in the corresponding numbers to the corresponding variables:

[tex]m = \frac{y_2 - y_1}{x_2 - x_1} = \frac{1 - (-3)}{3 - 4} = \frac{1 + 3}{-1} = \frac{4}{-1} = -4[/tex]

Use the slope-intercept form. The slope-intercept form is:

[tex]y = mx + b[/tex]

Use one of the given points to plug in for (x ,y). Also note that the slope (m) is equal to -4. Plug in the corresponding numbers to the corresponding variables:

[tex]y = mx + b\\(x , y) = (3 , 1)\\m = -4\\\\\\1 = (-4 * 3) + b\\1 = (-12) + b\\1 (+12) = b - 12 (+12)\\b = 1 + 12\\b = 13[/tex]

Plug in the slope (m) and the y-intercept (b) to get your equation:

[tex]y = -4x + 13[/tex]

~

Answer:

A

Step-by-step explanation:

Answer:

5y - 6x = 8 or y = 6x/5 + 8/5

Step-by-step explanation:

let M1= gradient of line AB and M2= gradient of the second line

When two lines are perpendicular, the product of their gradients is -1

i.e, M1M2= -1

M2= -1/M1

A(2,9) and B(8,4)

gradient= (y2-y1)/(x2-x1)

M1= (4-9)/(8-2)

= -5/6

M2= -1÷ -5/6

-1 × -6/5= 6/5

Equation of the line passing through C(-3,-2)

[y-(-2)]/[x-(-3)= 6/5

(y+2)/(x+3)= 6/5

5(y+2)= 6(x+3)

5y+10=6x+18

5y= 6x + 8

y= 6x/5 + 8/5

As per the slope-intercept form of a straight line, the equation of the required line is 5y = 6x + 8.

The slope-intercept form of a straight line is: y = mx + c

Here, m = slope of the line , c = y-intercept

If the slope of a line is 'a', then the slope of the line that is perpendicular to the given line is (- 1/a).

The given coordinates of the points A, B, C are (2, 9); (8, 4); and C(- 3, - 2) respectively.

Therefore, the slope of the line AB is (m)

= (y₂ - y₁)/(x₂ - x₁)

= (4 - 9)/(8 - 2)

= (- 5)/6

Slope of the required line is perpendicular to AB.

Therefore, the slope of the required line is

= - 1/(- 5/6)

= 6/5

This line passes through point C(- 3, - 2).

- 2 = - 3(6/5) + c

⇒ c = -2 + 18/5

⇒ c = 8/5

The equation of the required line is

y = (6/5) x + (8/5)

⇒ 5y = 6x + 8

Learn more about the slope-intercept form of a straight line here: https://brainly.com/question/19465597

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Answer:

13. 70(two digits 7 times 10 which is a multiple of 5)

Hope This Helps!!!

Answer:

x = 4

Step-by-step explanation:

72 = 2x + 16x , that is

72 = 18x ( divide both sides by 18 )

4 = x

Answer:

x=4

Step-by-step explanation:

72=18x

72/18=4

x=4

Answer:

- 2 < x < 6

Step-by-step explanation:

- 6 < x - 4 < 2 ( add 4 to each interval )

- 2 < x < 6

Answer:

D is the correct answer

Step-by-step explanation:

Answer:

[tex]-2\frac{2}{5}[/tex]

Step-by-step explanation:

[tex]\frac{-4}{5} *\frac{3}{1}[/tex] multiply across

[tex]\frac{-12}{5}[/tex] turn into mixed number

[tex]-2\frac{2}{5}[/tex]

Answer:

1 golf ball : $2.50

Step-by-step explanation:

Answer:

w represents

Step-by-step explanation:

up 2 is the y coordinates

Answer:

h = - 103/8

Step-by-step explanation:

1) Re-order terms so constants are on the left

8h = = -2(8)²+4(8)-7

2) Evaluate the exponent

8h = -2·64+4(8)-7

3) Multiply the numbers

8h = -128+4(8)-7

4) Multiply the numbers

8h = -128+32-7

5) Add the numbers

8h = -103

6) Divide both sides of the equation by the same term

8h/8 = -103/8

7) Simplify

- Cancel terms that are in both the numerator and denominator

h = -103/8

the answer to your question is B. A 5-minute reduction in the time to run a race

Answer: B

Step-by-step explanation: it is B bc all of them r postitive... 5 more worker is more people to help at a buisness

HAVE A WONDERFUL DAY!

Answer:

95

Step-by-step explanation:

Hope this helps :)

Merry Christmas. Have fun.

The size of ∠CDE labelled d° = 95° Given,

An angle is formed when two straight lines or rays meet at a common endpoint. The common point of contact is called the vertex of an angle.

Given,

In triangle DAF

∠DAF = 25°

∠DFA = 40°

Sum of all interior angles is 180°

∠DAF + ∠DFA + ∠ADF = 180°

25° + 40° + ∠ADF = 180°

65° + ∠ADF = 180°

∠ADF = 180° - 65°

∠ADF = 115°

Triangle DFE is equilateral

∠FDE = 60°

ABCD is an square

∠CDA = 90°

Now,

∠CDA + ∠ADF + ∠FDE + ∠CDE = 360°

90° + 115° + 60° + d° = 360°

d° = 360° - 265°

d° = 95°

Hence, 95° is the size of ∠CDE labelled d°.

Learn more about angle here:

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Answer:

none of them bc they're all bad kids

Step-by-step explanation:

Answer:

5/72

Step-by-step explanation:

this is the answer hope it helps

Answer:

correct answer is 10

Step-by-step explanation:

5/6÷1/12

5/6×12/1

5×2

=10

Answer:

2x+5

Step-by-step explanation:

Equation  y = 3x + 5  correctly represents the situation.

Two algebraic expressions having same value and symbol '=' in between are called as an equation.

Given:

Darrian creates caricatures for an initial fee of $5 then charges $2 each minute.

Let x be the number of each extra minutes.

And y be the total fees.

So, the equation;

The total fee = Charges of x minutes + initial fee.

y = 3x + 5

Therefore, the equation is  y = 3x + 5.

To learn more about the equation;

https://brainly.com/question/12788590

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Answer:

[tex]\huge\purple{\overline{\quad\quad\quad\quad\quad\quad\quad\quad\quad \ \ \ }}[/tex]

»ANSWER«

(1) Write properties of function:

x intercept/zero:

[tex] x_{1} = \frac{3}{4} [/tex]

y intercept:

[tex]y = - 12[/tex]

domain:

[tex]( - \infty \: \infty )[/tex]

type of function: cubic fraction

standard form:

[tex]f(x) = 4 {x}^{3} - 3 {x}^{2} + 16x - 12[/tex]

factorize form:

[tex]f(x) = (4x - 3)( {x}^{2} + 4)[/tex]

even/odd/neither: neither

bounce/cross x axis:

[tex]x = \frac{3}{4} \: across[/tex]

increasing interval:

[tex]( - \infty \: \infty )[/tex]

decreasing interval: no

number of positive real zeros: 1

number of possible turning point: 2

order/degree: 3

leading term:

[tex]4x ^{3} [/tex]

leading coefficent: 4

constant term: -12

end behavior:

[tex]as \: x \: → \infty f(x) → \infty \: as \: x → - \infty f(x) → - \infty [/tex]

#CarryOnLearning

Answer:

1. 100

2. 10000

3. 10

Answer:

So 9 months is 273 days and 394200 minutes so if the butterfly spends  30 days means one month so it is 43800 minutes old .

hope it gonna help you.

Step-by-step explanation:

(x + a)^2 + b form can be achieved by a method known as completing the square.

Step 1: Divide the b term by 2 and square it

8 / 2 = 4

4^2 = 16

Step 2: Add and subtract 16 from the expression

---Adding 16 creates a perfect square trinomial between x^2 + 8x + 16. But, if we add 16, we also need to subtract it. So, we will subtract 16 from our c term, 14.

x^2 + 8x + 16 + 14 - 16

x^2 + 8x + 16 - 2

Step 3: Factor the perfect square trinomial

(x^2 + 8x + 16) - 2

(x + 4)(x + 4) - 2

(x + 4)^2 - 2

Answer: (x + 4)^2 - 2

Hope this helps! :)

Answer:

last one

Step-by-step explanation: