A 4000 kg truck is parked on a 7.0° slope. How big is the friction force on the truck?

Answer:

Make a proportion

X/8 = 16.5/6

Solve for X

X = 22

Answer:

35 degrees

Step-by-step explanation:

This is because the angles on the same line are supplementary meaning that they add up to 180 degrees.  This means that the two angles which are not x are 180 - 90 = 90 degrees and 180 - 125 = 55 degrees.  Since the angles in a triangle are also supplementary as well, then 180 - 90 - 55 = 35 degrees.

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Answer:

35°

Step-by-step explanation:

Angles on a straight line add up to 180°

The angle opposite 90° will be 90° because

180° - 90° = 90°

The angle opposite 125° will be 55° because

180° - 125° = 55°

So now we know that 2 of the 3 angles sum to 145° ( 55° + 90° ), we have to work out p so

180° - ( 55° + 90° ) = 180° - 145° = 35

Answer:

Step-by-step explanation:

[tex]\sqrt{x+4}-1=8\\\\\text{Domain:}\ x+4\geq0\to x\geq-4\\\\\sqrt{x+4}-1=8\qquad\text{add 1 to both sides}\\\\\sqrt{x+4}=9\qquad\text{square both sides}\\\\\left(\sqrt{x+4}\right)^2=9^2\\\\x+4=81\qquad\text{subtract 4 from both sides}\\\\x=77\in D[/tex]

Hello!

Answer:

[tex]\boxed{x=4, x=-7}\checkmark[/tex]

Step-by-step explanation:

First, expand.

[tex]x^2+3x-10=18[/tex]

Then, subtract by 18 both sides.

[tex]x^2+3x-10-18=18-18[/tex]

Simplify and solve.

[tex]x^2+3x-28=0[/tex]

Therefore, the solution to this equation is x=4, and x=-7.

x=4 and x=-7 is the correct answer.

Hope this helps you!

Have a nice day! :)

Thank you!

Answer:

Solution of the given equation: [tex]x=4 , -7[/tex]

Step-by-step explanation:

An equation is a mathematical statement that states that two things are equal to each other.

A linear equation in one variable is of the form [tex]ax^2+bx+c=0[/tex] where a,b,c are coefficients and x is variable .

Here. given: [tex](x-2)(x+5)=18[/tex]

Using rule (Multiplication is distributive over addition) : [tex]a(b+c)=ab+ac[/tex] ,

we can write this equation as,

[tex](x-2)(x+5) =18\\ x(x+5)-2(x+5) =18\\ x^2+5x-2x-10 =18\\ x^2+3x-10-18 =0\\ x^2+3x-28 =0\\[/tex]

On comparing this equation with [tex]x^2[/tex] - (sum of roots)[tex] x [/tex]+(product of roots) = 0, we get

sum of roots=3 (7-4)

product of roots = -28 [tex]\left ( 7\times -4 \right )[/tex]

Using this fact , we can write this equation as ,

[tex]x^2+7x-4x-28=0\\x\left ( x+7 \right )-4\left ( x+7 \right )=0\\\left ( x-4 \right )\left ( x+7 \right )=0\\\Rightarrow x=4\,,\,x=-7[/tex]

Answer:

63v +23

Step-by-step explanation:

7(v+9)-8(5-7v)

Distribute

7v+7*9 - 8*5 -8(-7v)

7v+63 -40 +56v

Combine like terms

63v +23

The complementary angle for 45 degrees is 45 degrees.

Given,

An angle = 45 degree

We need to find the measure of a complementary angle.

When the sum of two angles is 90 degrees the angles are called complementary angles.

Find complementary angles of 45 degrees.

Let. x be the complementary angle for 45 degrees.

x + 45 = 90

Subtracting 45 on both sides

x = 90 - 45

x = 45 degrees

We see that the required complementary angle is 45 degrees

Thus the complementary angle for 45 degrees is 45 degrees.

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Answer:

The probability of choosing a black card then a white card, without

replacement is 24/91

Step-by-step explanation:

* Lets explain how to solve the problem

- There is a box contain some cards

- There are 8 white cards in the box

- There are 6 black cards in the box

- Two cards are choosing from the box a black card and then a white

 card, without replacement

∵ The number of the white cards in the box is 8

∵ The number of the black cards in the box is 6

∴ The total number of the cards in the box = 8 + 6 = 14

- We will chose the first card which is a black card

- We have 6 choices from 14 choices

∵ The number of the black cards is 6

∵ The total number of the cards is 14

∴ P(black) = 6/14 = 3/7

- Now the number of the black cards is 5 and the total number of the

 cards is 13 because there is no replacement

- We will chose the second card which is a white card

- We have 8 choices from 13 choices

∵ The number of the white cards is 8

∵ The total number of the cards is 13

∴ P(white) = 8/13

- Lets find the probability of choosing a black card then a white card

∵ P(black) = 3/7 and P(white) = 8/13

∴ P(black and white) = 3/7 × 8/13 = 24/91

* The probability of choosing a black card then a white card, without

  replacement is 24/91

Answer: Congruent

Step-by-step explanation:

Congruent describes the shapes below that are the same shape but not the same size.

If it is possible to superimpose one geometric figure on the other so that their entire surface coincides, that geometric figure is said to be congruent or to be in the relation of congruence.

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Answer:

Step-by-step explanation:

[tex]Domain:\\\\2g+8\neq0\ \wedge\ g^2-16\neq0\\\\g\neq-4\ \wedge\ g\neq4\\====================\\\\\dfrac{3}{2g+8}=\dfrac{g+2}{g^2-16}\qquad\text{cross multiply}\\\\3(g^2-16)=(2g+8)(g+2)\\\\\text{use the distributive property}:\ a(b+c)=ab+ac\\\text{and}\ FOIL:\ (a+b)(c+d)=ac+ad+bc+bd\\\\(3)(g^2)+(3)(-16)=(2g)(g)+(2g)(2)+(8)(g)+(8)(2)\\\\3g^2-48=2g^2+4g+8g+16\qquad\text{subtract}\ 2g^2\ \text{from both sides}\\\\g^2-48=12g+16\qquad\text{subtract}\ 12g\ \text{and}\ 16\ \text{from both sides}[/tex]

[tex]g^2-12g-64=0\\\\g^2+4g-16g-64=0\\\\g(g+4)-16(g+4)=0\\\\(g+4)(g-16)=0\iff g+4=0\ \vee\ g-16=0\\\\g+4=0\qquad\text{subtract 4 from both sides}\\g=-4\notin D\\\\g-16=0\qquad\text{add 16 to both sides}\\g=16\in D[/tex]

Answer:

c is the answer. (Assuming that's a positive 5)

Step-by-step explanation:

You would use the slope formula: (y1 - y2)/(x1-x2).

Plugging in gives

(3--2)/(2-1)

(3+2)/(2-1)

which simplifies to:

5/1

= 5

Hope this helps!

Answer:

The correct option is C.  5

Step-by-step explanation:

Points to remember

slope of the line  passing through the point (x₁, y₁) and (x₂, y₂) is given by

Slope m = (y₂ - y₁)/(x₂ - x₁)

To find the slope of the given line

Here (x₁, y₁) = (2, 3)  and (x₂, y₂) = (1, -2)

Slope m = (y₂ - y₁)/(x₂ - x₁)

 = (-2 - 3)/(1 - 2)

 = (-5)/(-1)

 = 5

Therefore the slope of given line is 5

The correct option is C.  5

Answer:

d

Step-by-step explanation:

Answer:

No x-intercept.

Step-by-step explanation:

The zeroes are not real so it will not pass through the x axis.

Answer:

The correct option is A) No x-intercepts.

Step-by-step explanation:

Consider the provided information.

Nature of solution based on the value of discriminant :

If D = b² − 4ac > 0 then there exist two Real Solutions or roots.

If D = b² − 4ac = 0 then there exist one Real Solutions or roots.

If D = b² − 4ac < 0 then there exist no Real Solutions or roots

Here, we need to remember that the root of an equation and x-intercepts are the same thing.

Now consider the provided information.

The graph of an equation with a negative discriminant means:

D = b² − 4ac < 0

From the above values of discriminant we can say, there exist no Real roots or no x-intercepts.

Thus, the correct option is A) No x-intercepts.

Answer:

340/3

Step-by-step explanation:

1 yard = 3 feet.

To find out how many yards 340 feet is, divide 340 by 3.

So, your answer is 340/3.

Answer:

yes

Step-by-step explanation:

Answer:

5, − one third , one half

Step-by-step explanation:

If the number 'n' is a zero of f(x), then f(n)=0.

We could solve this problem by factorizing the polynomial, but the quickest way is by plugging the options into the equation.

We know that f(x) = 6x3 − 31x2 + 4x + 5.

Then:

Then, the correct option is: 5, − one third , one half.

Finally, the factorized form is: (x−5)(2x−1)(3x+1). If you expand it, you will get the original polynomial.

Answer:  The correct option is

(B) 5, − one third , one half.

Step-by-step explanation:  We are given to select the correct option that represents the zeroes of the following cubic function :

[tex]f(x)=6x^3-31x^2+4x+5~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)[/tex]

We know that

if for any number a, the function f(x) is zero at x =a , then x = a is a zero of the function f(x).

We have, for the given function, at x = 5,

[tex]f(5)\\\\=6\times5^3-31\times5^2+4\times5+5\\\\=125\times6-31\times25+20+5\\\\=750-775+25\\\\=0[/tex]

So, x = 5 is a zero of the function f(x).

Now, we have

[tex]f(x)\\\\\=6x^3-31x^2+4x+5\\\\=6x^2(x-5)-x(x-5)-(x-5)\\\\=(x-5)(6x^2-x-1)\\\\=(x-5)(6x^2-3x+2x-1)\\\\=(x-5)(3x(2x-1)+1(2x-1))\\\\=(x-5)(3x+1)(2x-1)[/tex]

The zeroes of f(x) are given by

[tex]f(x)=0\\\\\Rightarrow (x-5)(3x+1)(2x-1)=0\\\\\Rightarrow x-5=0,~~3x+1=0,~~2x-1=0\\\\\Rightarrow x=5,-\dfrac{1}{3},\dfrac{1}{2}.[/tex]

Thus, the zeroes of f(x) are 5, -one-third, one half.

Option (B) is CORRECT.

Answer:

Part 1) see the procedure

Part 2) [tex]4.95x+49.95 < 9.95 x[/tex]

Part 3) [tex]x > 9.99\ months[/tex]

Part 4) The minimum number of months, that he needs to keep the website for site A to be less expensive than site B is 10 months

Step-by-step explanation:

Part 1) Define a variable for the situation.

Let

x ------> the number of months

y ----> the total cost monthly for website hosting

Part 2) Write an inequality that represents the situation.

we know that

Site A

[tex]y=4.95x+49.95[/tex]

Site B

[tex]y=9.95x[/tex]

The inequality that represent this situation is

[tex]4.95x+49.95 < 9.95 x[/tex]

Part 3) Solve the inequality to find out how many months he needs to keep the website for Site A to be less expensive than Site B

[tex]4.95x+49.95 < 9.95 x[/tex]

Subtract 4.95x both sides

[tex]4.95x+49.95-4.95x < 9.95 x-4.95x[/tex]

[tex]49.95 < 5x[/tex]

Divide by 5 both sides

[tex]49.95/5 < 5x/5[/tex]

[tex]9.99 < x[/tex]

Rewrite

[tex]x > 9.99\ months[/tex]

Part 4) describe how many months he needs to keep the website for Site A to be less expensive than Site B.

The minimum number of months, that he needs to keep the website for site A to be less expensive than site B is 10 months

To make Site A less expensive than Site B, James needs to host his website there for at least 10 months.

Let's define m as the number of months James would host his website. We write an inequality that represents the situation: $4.95m + $49.95 <= $9.95m. This represents the total cost of Site A being less than or equal to Site B.

To solve the inequality, subtract $4.95m from both sides of the equation: $49.95 <= $5m. Dividing both sides by 5 gives: m >= 9.99, which we round up to 10 because we can't have a fraction of a month.

So, James would need to keep his website hosted on Site A for at least 10 months to be less expensive than Site B.

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Answer:

y - 3 = 5(x + 1)

Step-by-step explanation:

The equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

here m = 5 and (a, b) = (- 1, 3), hence

y - 3 = 5(x - (- 1)), that is

y - 3 = 5(x + 1) ← in point- slope form

Answer:

The answer is (B)

Step-by-step explanation:

It would not be a, the maximum score is 180, so it would be less than or equal to.

It is (B), since they need to sell at least 40 bags a day, and max is 180.

Hope this helps!

Answer with explanation:

The two linear Inequality given below is:

  1.→ 4 x + 5 y < 180

  2.→x + y > 40

We have to express this inequality into a Situation.

→Representation of Option A in terms of equation

     x=Question which has 4 points

      y=Question which has 5 points

1. x +y =40

2. 4 x +5 y ≤ 180

→→→→Representation of Option B in terms of equation

x=Number of 4 pound bag

y=Number of 5 Pound bag

1. 4 x +5 y < 180

2. x +y > 40

→Representation of Option C in terms of equation

x=Number of cotton balls which are sold at $ 4

y=Number of cotton balls which are sold at $ 5

1. 4 x +5 y < 180

2. x +y > 40

3. 4 x < 180

4. 5 y <180

→Representation of Option D in terms of equation

x=Number of notebooks in a set of Notebooks which contain 4 notebook

y=Number of notebooks in a set of Notebooks which contain 5 notebook

1. 4 x +5 y < 180

2. x +y > 40

3. 4 x < 180

4. 5 y < 180

Option B ,is most Appropriate representation of the situation.

Answer:

sqrt(80)

sqrt(18)

sqrt(12)

Step-by-step explanation:

sqrt(196) = 14 which is rational.

7/18 is a fraction. There is nothing the matter with it. It is rational.

sqrt(80) = sqrt(16 * 5) = sqrt(4*4* 5) = 4 sqrt(5) which is irrational.

sqrt(18) = sqrt(9*2) = sqrt(3*3*2) = 3*sqrt(2) which is irrational.

sqrt(12) = 2sqrt(3) which is irrational

Rule: if there is anything left under the root sign then the starting number is irrational.

The Punic Wars led to demographic changes in Rome, with soldiers returning to find their lands claimed by others, resulting in their migration to the city and growth in the proletariat. This growth contributed to Rome's population reaching over one million by the first century BCE. The wars' aftermath also brought political upheaval that contributed to the fall of the Republic.

The Punic Wars significantly affected the demographic and social structure of Rome. Initially, Roman citizens were predominantly engaged in operating small family farms, with property ownership being a prerequisite for military service. Due to extended military campaigns during the Punic Wars, many soldiers found their lands neglected or in the hands of others upon their return. Consequently, this led to a mass migration of disenfranchised veterans and their families to Rome, swelling the ranks of the proletariat. The city's population ballooned, by some estimates reaching over one million by the first century BCE.

Additionally, the influx of wealth and resources from victories over Carthage markedly altered the political landscape. Disagreements on the distribution of wealth created political factions, primarily the Populares, who championed the cause of the common people, and the Optimates, who defended the interests of the elite. These developments precipitated deep social and political fractures, contributing to the eventual fall of the Roman Republic.

Answer:

C (2,-4)

Step-by-step explanation:

You could graph the circle and then graph the points and see...

Or you could them in and see which point makes the left hand less than 4?

So if you wanted to draw it is a circle with center (2,-3) and radius 2.

If you want to do it the other way:

Plug in time!

(2,-5)?

(2-2)^2+(-5+3)^2

0^2+(-2)^2

0+4=4 so not this one

(2,-4)?

(2-2)^2+(-4+3)^2

0+1

1<4  so this one  (you can also see this in the drawing:

Answer:

x = 7

Step-by-step explanation:

Using the rule of logarithms

[tex]log_{b}[/tex] x = n ⇔ x = [tex]b^{n}[/tex]

Hence

[tex]log_{x}[/tex] 343 = 3 ⇒ 343 = x³

Take the cube root of both sides

x = [tex]\sqrt[3]{343}[/tex] = 7

Answer:

Step-by-step explanation:

you first have to find the slope by make it rise over run.

rise over run would be 6-4/-4-8. this is the slope or m in the equation y=mx+b. this means that the slope is -1/6

The sum of -2 and -18 is -20.

When you add two negative numbers together, you're essentially combining their magnitudes while keeping the negative sign. In this case, you're adding the magnitudes of 2 and 18, which equals 20, and since both numbers are negative, the sum retains the negative sign. So, -2 plus -18 equals -20.

Answer:

Value of a = 7/6 and a = -1/5

Step-by-step explanation:

We need to solve the equation

30a^2 -7 = 29a

Adding -29a on both sides

30a^2-29a-7=0

Solving the quadratic equation using quadratic formula.

[tex]a=\frac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]

here a= 30, b =-29 and c=-7

Putting values, and finding the value of a

[tex]a=\frac{-(-29)\pm\sqrt{(-29)^2-4(30)(-7)}}{2(30)}\\a=\frac{29\pm\sqrt{841+840}}{60}\\a=\frac{29\pm\sqrt{1681}}{60}\\a=\frac{29\pm41}{60}\\a=\frac{29+41}{60} \,\, and \,\,a=\frac{29-41}{60}\\a=\frac{70}{60} \,\, and \,\,a=\frac{-12}{60}\\a=\frac{7}{6} \,\, and \,\,a=\frac{-1}{5}[/tex]

So, value of a = 7/6 and a = -1/5

Answer:

3/-2

Step-by-step explanation:

(3x) km/3 -2x=4 (x3) times 3 on both sides because you need to get the x by itself and your dividing so the opposite of dividing is multiplying.

9km - 2x = 12

-9               -9 subtract on both sides

-2x = 3

-2      -2 divide on both sides.

so x= 3/-2

I'm in algebra too, and i'm relearning it, so hope i have helped you in anywy and if i haven't I'm sorry.