An empty bulldozer weighed 5 6/8 tons. If it scooped up 6 1/2 tons of dirt, what would be the
combined weight of the bulldozer and dirt?

Answer:

y = [tex]\frac{-1}{6}[/tex]x - [tex]\frac{7}{3}[/tex]

Step-by-step explanation:

1. Find the slope -3- -2 / 4 - -2  so -3+2/4+2, -1/6 so m = -1/6

2.  Find y intercept (b)   y = mx + b so -2 = -1/6(-2) + b, -2 = 1/3 + b

b = -2-1/3, b = -6/3 - 1/3, so b = -7/3

3.  Put it all together y = mx + b so y = -1/6x -7/3

Answer:

u r correct

Step-by-step explanation:

Answer:

it is option C

hope it helps

97 And 83

Answer:

0.1

0.3

0.22

0.38

Step-by-step explanation:

Answer:

1ST BOX Picking a Comedy movie

2ND BOX picking a science  fiction movie

3RD BOX picking a dramatic movie

LAST BOX Picking a romantic movie

Step-by-step explanation:

I took the test

Answer: x= 1/2

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

x−5(x−1)=2x−(2x−3)

x−5(x−1)=2x+−1(2x−3)(Distribute the Negative Sign)

x−5(x−1)=2x+−1(2x)+(−1)(−3)

x−5(x−1)=2x+−2x+3

x+(−5)(x)+(−5)(−1)=2x+−2x+3(Distribute)

x+−5x+5=2x+−2x+3

(x+−5x)+(5)=(2x+−2x)+(3)(Combine Like Terms)

−4x+5=3

−4x+5=3

Step 2: Subtract 5 from both sides.

−4x+5−5=3−5

−4x=−2

Step 3: Divide both sides by -4.

−4x /−4 = −2 /−4

x = 1/2

Answer:

-2

Step-by-step explanation:

since the parabola opens upwards, the minimum is at the vertex of the parabola and the maximum is infinity, because the lines of a parabola goes on forever

you look for the smallest x value for the parabola and since you can see that the vertex of the parabola lies on x=-2, the minimum value of the function is -2.

Hope that helps :)

Answer:

5.8 x 10^-7

Step-by-step explanation:

Answer:

5.8 * [tex]10^{-7}[/tex]

Step-by-step explanation:

Move the decimal so there is one n zero digit to the left of the decimal point. The number of decimal places you moved will be the exponent on the 10. If the decimal moves to the right, the exponent will be negative. If it moves to the left, the exponents will be positive.

Answer:

The solution is x = 1 because 2(1) - 1 = -1

Step-by-step explanation:

Answer:

D) no real numbers

Step-by-step explanation:

Answer:

3x + 5 = 12 - 7x

⇒ 3x = 12 - 5 - 7x

⇒ 3x = 7 - 7x

⇒ 3x + 7x = 7

⇒ 10x = 7

⇒ x= 7 ÷ 10

⇒ x = 0.7

Answer:

1 8/25

Step-by-step explanation: its right

Answer:

33/25

Step-by-step explanation:

Answer:

The slope is undefined because there is no change in x, making it a vertical line

Step-by-step explanation:

Answer:

height = 184.7 feet

Step-by-step explanation:

sin 38 = height/300

0.6157 = height/300

height = 184.7 feet

Answer:

I don't know the answer but have a site that helps me with math, its called

Step-by-step explanation:

Just check it out

Answer:

9 + 22h

Explanation:

The question is incomplete as Gordon's height is not given. To solve further, we will represent this height with h

So, we have:

nine more than the [tex]product[/tex] of 22 and [tex]Gordons\ height[/tex]

More than, in this case means plus (+)

nine + the [tex]product[/tex] of 22 and [tex]Gordons\ height[/tex]

Rewrite nine as 9 and substitute h for Gordons height

9 + the [tex]product[/tex] of 22 and h

product, in this case means multiplication (*)

9 + 22 * h

So, the expression is:

9 + 22h

Answer:

Step-by-step explanation:

if ∠1=∠2

2x+12=3x+3

3x-2x=12-3

x=9

∠1=2×+12=30°

∠2=30°

∠VXW=30+30=60°

Answer:

~10.92 cm

Step-by-step explanation:

V = 4/3πr^3

5,461 = 4/3πr^3

4095.75 = πr^3

1303.72 = r^3 ≈ 10.92

Has a margin of error based on my rounding to the hundreths.

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

Explanation:

Notice how 98-2*6 = 98-12 = 86. So we're 2 standard deviations below the mean.

Start at the center, which is where the highest point is located. The value 98 is at the center. Then move 2 spots to the left, which has us move 2 standard deviations lower than the mean, and we arrive at 86. Refer to the diagram below.

From here, we add up the percentages in that diagram that are below the 86 mark. Those percentages are the 0.15% and 2.35%

So we get (0.15%) + (2.35%) = 2.5% which is the answer

Side note: This diagram is using the Empirical Rule. Some textbooks call it the "68-95-99.7 rule", but that's more clunky of a name in my opinion. The three values 68, 95 and 99.7 refer to the approximate percentage values within 1, 2 and 3 standard deviations of the mean.

Answer:

Area

Step-by-step explanation:

because

Answer:

452.16 inches

Step-by-step explanation:

A = pi r^2

A = 3.14 * (12)^2

A = 3.14 * 144

A = 452.16 inches

Answer:

Undefined Slope

Step-by-step explanation:

slope formula = y2-y1/x2-x1

-17 - 12/3 - 3

-29/0

divide by zero, undefined

If the 0's are indeed zeroes, then it would appear that you're using degrees, so that the equation

r(θ) = 2 sin(0°) + 3 sin(90°)

describes a circle r = 3 (since sin(0°) = 0 and sin(90°) = 1). In this case, the area would simply be π r ² = 9π.

But I suspect you meant to use θ, so the curve has the far more interesting equation,

r(θ) = 2 sin(θ) + 3 sin(9θ)

Since sin(9θ) has a period of 2π/9 and sin(θ) has a period of 2π, their sum has a period of 2π. (That is, 2π times the LCM of 1 and 1/9, which is 1.) But we observe r(θ) is odd, since

r(-θ) = 2 sin(-θ) + 3 sin(-9θ)

… = -2 sin(θ) - 3 sin(9θ)

… = - r(θ)

which tells us that the curve closes itself over a half-period. So the area bounded by the curve is given by the integral,

[tex]\displaystyle\int_0^\pi\int_0^{r(\theta)}r\,\mathrm dr\,\mathrm d\theta[/tex]

If you're not familiar with double integrals yet, all you need to know is that this reduces to the area formula you may/should be familiar with,

[tex]\displaystyle\frac12\int_0^\pi r(\theta)^2\,\mathrm d\theta[/tex]

Compute the integral:

[tex]=\displaystyle\frac12\int_0^\pi(2\sin(\theta)+3\sin(9\theta))^2\,\mathrm d\theta[/tex]

[tex]=\displaystyle\frac12\int_0^\pi(4\sin^2(\theta)+12\sin(\theta)\sin(9\theta)+9\sin^2(9\theta))\,\mathrm d\theta[/tex]

Apply some identities:

sin²(θ) = (1 - cos(2θ)) / 2

sin(θ) sin(9θ) = (cos(9θ - θ) - cos(9θ + θ)) / 2 = (cos(8θ) - cos(10θ)) / 2

sin²(9θ) = (1 - cos(18θ)) / 2

[tex]=\displaystyle\frac14\int_0^\pi(4(1-\cos(2\theta))+12(\cos(8\theta)-\cos(10\theta))+9(1-\cos(18\theta))\,\mathrm d\theta[/tex]

[tex]=\displaystyle\frac14\int_0^\pi(13 - 4\cos(2\theta) + 12\cos(8\theta) - 12\cos(10\theta) - 9\cos(18\theta))\,\mathrm d\theta[/tex]

[tex]=\dfrac14 \left(13\theta-2\sin(2\theta)+\dfrac32\sin(8\theta)-\dfrac65\sin(10\theta)-\dfrac12\sin(18\theta)\right)\bigg|_0^\pi[/tex]

[tex]=\dfrac1{40} \left(130\theta-20\sin(2\theta)+15\sin(8\theta)-12\sin(10\theta)-5\sin(18\theta)\right)\bigg|_0^\pi[/tex]

[tex]=\dfrac{130\pi-20\sin(2\pi)+15\sin(8\pi)-12\sin(10\pi)-5\sin(18\pi)}{40}[/tex]

= 13π/4

Answer:

2. c. 1/2

3. d. 13/16

5. d. 5/12

1. b. simplified

4. b. Nicholas did not divide the numerator and..............

Answer:

i know it’s been months since you posted this question but...

Step-by-step explanation:

2. c) 1/2, 9/18 / 9 = 1/2

3. d) 13/16, 26/32 / 2 = 13/16

5. d) 5/12, 10/24 / 2 = 5/12

1. b) simplified, you can’t simplify 8/9, it’s already smaller.

4. b) Nicholas did not divide the numerator and denominator by the same number, the GCF [greatest common factor]. 4/5 is not equivalent to 20/30. He should have divided by 10. 20/30 = 2/3.

why does that say 20/24 tho?- i think it meant 20/30.

i hope this helped! also, a definition of gcf:

GCF - A set of numbers' greatest common factor (GCF) is the largest factor that all of the numbers share. Twelve, twenty, and twenty-four, for example, all have two common factors: two and four. The GCF of 12, 20, and 24 is 4 since the highest is 4. The GCF method is often used to identify common denominators.

Answer:

x = 3

Step-by-step explanation:

The 2nd polygon is 1.5 times larger.

12 x 1.5 = 18

18-6 = 12

12/4 = 3

x = 3

Answer

7 and 83

Step-by-step explanation:

Answer:

[tex]Area = 2m^8 - 6m^4 + 4.5[/tex]

Step-by-step explanation:

Given

[tex]Base = 2m^4 - 3[/tex]

[tex]Height = 2m^4 - 3[/tex]

Required

The area

This is calculated as:

[tex]Area = 0.5 * Base * Height[/tex]

[tex]Area = 0.5 * (2m^4 - 3) * (2m^4 - 3)[/tex]

Open brackst

[tex]Area = 0.5 * (4m^8 - 6m^4 - 6m^4 + 9)[/tex]

[tex]Area = 0.5 * (4m^8 - 12m^4 + 9)[/tex]

Open bracket

[tex]Area = 2m^8 - 6m^4 + 4.5[/tex]

Step-by-step explanation:

[tex] \tt{} \frac{24}{10} [/tex]

[tex] \tt{} \frac{24 \div 2}{10 \div 2} [/tex]

[tex]\tt{} \frac{12}{5} [/tex]

[tex]\tt{}2 \frac{2}{5} \: \: \: \: \: = 2.4[/tex]