Allison owns a trucking company. For every truck that goes out, Allison must pay the driver $11 per hour of driving and also has an expense of $1 per mile driven for gas and maintenance. On one particular day, the driver drove an average of 15 miles per hour and Allison's total expenses for the driver, gas and truck maintenance were $286. Write a system of equations that could be used to determine the number of hours the driver worked and the number of miles the truck drove. Define the variables that you use to write the system.

Answer:

20%

Step-by-step explanation:

14/70x100=20%

Answer:

C: 56

Step-by-step explanation:

Hi there,

To find the least common multipul (LCM) of 8 and 14, you can list off the multipules of each, and see what they have in common.

Multiples of 8:

8, 116, 24, 32, 40, 48, 56, 64, 72, 80, 88, 96, 104, 112

Multiples of 14:

14, 28, 42, 56, 70, 84, 98, 112, 126, 140, 154, 168, 182

When you list off the multipules of both numbers, they have 56, and 112, in common. The problem is asking for the least common multiple the answer is 56.

Hope this helps!

- Emily

Answer:

degree: linear

terms: binomial

Step-by-step explanation:

The polynomials are :

Solution :

To classify polynomials, we look at the number of terms and the degree of the polynomial.

monomial - 1 term

binomial - 2 terms

trinomial - 3 terms

polynomial - 4 terms or more

first

second  (quadratic)

third

fourth (quartic)

etc.

_________________

[tex]\pmb{3x+12}[/tex] has 2 terms and its highest exponent is 1. Hence it's a binomial.

[tex]\pmb{x^3-8}[/tex] has 2 terms and its highest exponent is 3, hence we have a third-degree binomial.

Answer:

B: 50% chance

Step-by-step explanation:

50/50 chance of happening is an equal chance

Answer:

no its B

Step-by-step explanation:

Because you have a 50 50 % chance

Answer:

y = 4x (? See parentheses in explanation)

Step-by-step explanation:

First, change this equation to slope-intercept form.

Then, look at the slope and that is the slope of the parallel line.

(I don't know if the line is supposed to pass through a specific point, but if it does, then use point-slope form.)

Answer:

There are an infinite number of solutions to this queston, but you can find an answer by writing:  

8x+2y = k   ;  where k is any number but 12.

Step-by-step explanation:

The ball hits the ground at t=0 or t=3 seconds. The maximum height of the ball is 9 feet. The ball reaches its highest point at t=1.5 seconds.

To find out how long after the kick the ball hits the ground, we need to solve the equation h=-4t^2+12t  for t when h=0. We can set the equation to zero and solve for t by factoring or using the quadratic formula. In this case, you can factor out a t from the equation and solve for t to find that t=0 or t=3.

To find out how high the soccer ball gets, we need to find the maximum height of the ball. The maximum height occurs at the vertex of the parabolic equation. The formula for finding the x-coordinate of the vertex is x = -b/2a. In this case, a = -4 and b = 12, so the x-coordinate of the vertex is x = -12/(2*-4) = 1.5. Substituting this value into the equation, we can find the maximum height by solving for h, which is h = -4*(1.5)^2 + 12*(1.5) = 9 feet.

The soccer ball hits its highest point at the x-coordinate of the vertex. In this case, the highest point occurs at t = 1.5 seconds.

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Answer:

C. 14

Step-by-step explanation:

2 shirts in each pile x 7 piles of shirts = 14 shirts in total

2 x 7 = 14

Final answer:

To determine how many shirts Mark folded, multiply the number of shirts per pile (2) by the number of piles (7), which equals 14 shirts.

Explanation:

The question asks us to calculate the total number of shirts Mark folded if he put 2 shirts in each pile and there are 7 piles of shirts.

To find the total number of shirts, we need to multiply the number of shirts per pile by the number of piles. So, the calculation is as follows:

Determine the number of shirts per pile: 2 shirts.

Determine the total number of piles: 7 piles.

Multiply the number of shirts per pile by the number of piles: 2 shirts x7 piles = 14 shirts.

Therefore, Mark folded a total of 14 shirts.

Answer:

your expression is (10x+15)+11x

Step-by-step explanation:

let the missing number be X

(10x+15)+11x

Answer:

The value of k is 0.448.

Step-by-step explanation:

Given the exponential growth function is

[tex]A=23e^{kt}[/tex]

A= The population of the country

k= growth rate.

The population of the country increased by 10 million in 13 years after 1982.

Then the population is =(23+13)million = 36 million.

Here,

A= 36 million, t= 13

[tex]A=23e^{kt}[/tex]

[tex]\Rightarrow 36=23e^{13k}[/tex]

[tex]\Rightarrow e^{13k}=\frac{36}{23}[/tex]

Taking ln function both sides

[tex]\Rightarrow ln|e^{13k}|=ln|\frac{36}{23}|[/tex]

[tex]\Rightarrow {13k}=ln|\frac{36}{23}|[/tex]

[tex]\Rightarrow {k}=\frac{ln|\frac{36}{23}|}{13}[/tex]

[tex]\Rightarrow k=0.448[/tex]

The value of k is 0.448.

Answer: A) y=25,   B) y=10  C) y=-5  D)y=-20

Step-by-step explanation:

So whenever you have a question like this just plug in the values.

A) x=0

y= -3x+25 will now turn into y=0+25, so y=25

B) x=5

y= -3x+25 is now y= -15 +25, so y=10

C) x=10

y= -3x+25 is now y= -30+25, so y=-5

D) x=15

y=-3x+25 is now y= -45+25, so y=-20

Answer:

$63.54

Step-by-step explanation:

If something is 35% off you pay 65% of the price

115*.65= 74.75

same thing again but with 15% and multiplying by .85

74.75*.85=63.54

Answer:

yes

Step-by-step explanation:

n

Answer:

False

Step-by-step explanation:

The image is after pre-image

Answer: Your sister is not correct. You can determine how far the overhang should extend by dividing 8 by [tex]tan(70\°)[/tex]

Step-by-step explanation:

The complete exercise is attached.

Observe the picture attached. You can identify that the angle A and the angle B are congruent (which means that they have equal measure).

Let be "CB" is the length in feet that the overhang should be in order to keep the Sun out when it is at its highest point in the sky.

You need to use the following Trigonometric Identity:

[tex]tan\alpha =\frac{opposite}{adjacent}[/tex]

You can notice that, in this case:

[tex]\alpha =70\°\\\\opposite=8\ ft\\\\adjacent=CB[/tex]

Knowing these values you can substitute them into  [tex]tan\alpha =\frac{opposite}{adjacent}[/tex] and then solve for "CB" in orde to find its value.

You get:

[tex]tan(70\°)=\frac{8}{CB}\\\\CB*tan(70\°)=8\\\\CB=\frac{8}{tan(70\°)}\\\\CB=2.91[/tex]

Therefore, your sisteter is not correct.

Answer:

Your sister is not correct. You can determine how far the overhang should extend by dividing 8.

Step-by-step explanation:

You can determine how far the overhang should extend by dividing

Observe the picture attached. You can identify that the angle A and the angle B are congruent (which means that they have equal measure).

Let be "CB" is the length in feet that the overhang should be in order to keep the Sun out when it is at its highest point in the sky.

You need to use the following Trigonometric Identity:

You can notice that, in this case:

Knowing these values you can substitute them into   and then solve for "CB" in orde to find its value.

Therefore, your sisteter is not correct.

Answer:

27

Step-by-step explanation:

StartRoot 27 EndRoot cm

Final answer:

To solve the equation by factoring, we factor out common terms from both sides of the equation and set each factor equal to zero. We consider the factors separately and solve for θ to find the solutions.

Explanation:

To solve the given equation, we need to factorize the trigonometric terms. Let's start by factoring out the common factor of sin(θ) cot(θ) from the left side of the equation:

csc(θ) cot(θ) − sin(θ) tan(θ) = cos(θ)

sin(θ) cot(θ)(csc(θ) − tan(θ)) = cos(θ)

Now we have a product of two factors equal to zero, so we can set each factor equal to zero and solve for θ:

sin(θ) cot(θ) = 0

csc(θ) − tan(θ) = cos(θ)

To find the solutions for sin(θ) cot(θ) = 0, we can consider the factors separately:

sin(θ) = 0 or cot(θ) = 0

For sin(θ) = 0, the solutions are θ = kπ, where k is an integer.

For cot(θ) = 0, we can rewrite it as cos(θ)/sin(θ) = 0, which means cos(θ) = 0 and sin(θ) ≠ 0. The solutions for cos(θ) = 0 are θ = (2k + 1)π/2, where k is an integer.

Now let's solve csc(θ) − tan(θ) = cos(θ):

csc(θ) − (sin(θ)/cos(θ)) = cos(θ)

(1/sin(θ)) − (sin(θ)/cos(θ)) = cos(θ)

Using a common denominator, we can combine the fractions:

(cos(θ) − sin(θ))/sin(θ) = cos(θ)

Now we have a fraction equal to a constant. This can only be true if the numerator is zero:

cos(θ) − sin(θ) = 0

Using the identity cos(θ) − sin(θ) = −√2 sin(θ + π/4), we can rewrite the equation as:

−√2 sin(θ + π/4) = 0

Solving for sin(θ + π/4) = 0, we get θ + π/4 = kπ, where k is an integer.

Therefore, the solutions to the equation csc(θ) cot(θ) − sin(θ) tan(θ) = cos(θ) are:

θ = kπ (for sin(θ) cot(θ) = 0)

θ = (2k + 1)π/2 (for csc(θ) − tan(θ) = cos(θ))

Answer:

1. A. Factor and use the zero-product property; x = 0, -16

   B. Use the quadratic formula; y=-3-√11, -3+√11

   C. Take the square root of each side; x = -6, 6

   D. Complete the square; p= -2(√3 + 1). 2(√3 - 1)

2. A. Downward; coefficient of x² is negative

    B. Above; k is positive

Step-by-step explanation:

1. A. x² = –16x

Factor and use the zero-product property

[tex]\begin{array}{rcl}x^{2} & = & -16x\\x^{2} + 16x & = & 0\\x(x + 16) & = &0\\x = \mathbf{0} & & x+ 16 = 0\\& & x = \mathbf{-16}\\\end{array}[/tex]

B. y² + 6y – 2 = 0

Use the quadratic formula

a = 1; b = 6; y = -2

[tex]\begin{array}{rcl}y & = & \dfrac{-b\pm\sqrt{b^2-4ac}}{2a} \\\\ & = & \dfrac{-6\pm\sqrt{6^2-4\times1\times(-2)}}{2\times1} \\\\ & = & \dfrac{-6\pm\sqrt{36+8}}{2} \\\\ & = & \dfrac{-6\pm\sqrt{44}}{2} \\\\ & = & \dfrac{-6\pm2\sqrt{11}}{2} \\\\ & = & -3\pm\sqrt{11}\\y=\mathbf{-3-\sqrt{11}} & &y= \mathbf{-3+\sqrt{11}}\\\end{array}[/tex]

C. 2a² = 72

Take the square root of each side.

[tex]\begin{array}{rcl}2a^{2} & = & 72\\a^{2} & = & 36\\a & = & \pm 6\\a= \mathbf{-6} & & a = \mathbf{6}\\\end{array}[/tex]

D. p² + 4p = 8

Complete the square.

[tex]\begin{array}{rcl}p^{2} + 4p & = & 8\\p^{2} + 4p + 4 & = & 12\\(p + 2)^{2}& = & 12\\p + 2& = & \pm \sqrt{12}\\& = & \pm 2\sqrt{3}\\p + 2 = -2\sqrt{3} & & p +2=-2\sqrt{3}\\p = -2 - 2\sqrt{3} & & p = -2 +2\sqrt{3}\\p= \mathbf{-2(\sqrt{3}+1)} & & p= \mathbf{2(\sqrt{3}-1)}\\\end{array}[/tex]

2. y = –2x² + 3x + 4

a = -2; b = 3; c = 4

A. Direction of opening

The parabola opens downward because the coefficient of x² is negative.

B. Vertex

The vertex form of a parabola is

y = a(x - h)² + k

where (h, k) are coordinates of the vertex.

The vertex will be above. on, or below the x-axis if k is positive, zero, or negative.

[tex]\begin{array}{rcl}k& = & \dfrac{4ac-b^{2}}{2a}\\\\& = & \dfrac{4\times(-2) \times 4 - 3^{2}}{2\times4}\\\\& = & \dfrac{-32 - 9}{-8}\\\\& = & \dfrac{-41}{-8}\\\\& > &\mathbf{0}\\\end{array}[/tex]

The vertex is above the x-axis because k is positive.  

The graph below shows that your parabola opens downward and the vertex is above the x-axis.

Answer:

The area of the corral is 2976 ft²

Step-by-step explanation:

Here, we have the perimeter of the rectangle given as 220 ft

Therefore, since in a rectangle, we have 2 sides of the four sides equal, that is;

Perimeter = 2×One side + 2×Other side

or Perimeter = 2×X + 2×Y

Here perimeter = 220 ft = 2×X + 2×Y

As one of the sides is 48 ft, we have;

220 ft = 2 × 48 + 2×Y

Therefore, 2×Y = 220 ft - 2×48 ft = 124 ft

∴ Y = 124 ft ÷ 2 = 62 ft

The area of the corral = Area of rectangle = Length × Width = 62 ft × 48 ft

Area of the corral = 2976 ft².

Answer:

[tex]d = \sqrt{3} * a = \sqrt{3} * 5 = 8.7[/tex]

Step-by-step explanation:

plz give brainliest

Answer:

36 is the answer........

Answer:

36

Step-by-step explanation:

You can use the bus stop method on this

540 how many 15 goes in it =36

Answer:

The probability that the first block will be green and the second will be yellow is  [tex]\frac{1}{9}[/tex]  or 0.111.

Step-by-step explanation:

We are given that a bag contains 5 yellow blocks, 2 green blocks and 3 blue blocks.

Also, we choose one block and then another block without putting the first one back in the bag.

Firstly, as we know that Probability of any event is given by ;

           Probability of an event  =  [tex]\frac{\text{Favorable number of outcomes}}{\text{Total number of outcomes}}[/tex]  

SO, Probability that the first block will be green =  [tex]\frac{\text{Number of green blocks}}{\text{Total blocks in the bag}}[/tex]

Here, Number of green blocks = 2

Total number of blocks in bag = 5 yellow + 2 green + 3 blue = 10 blocks

So, Probability that the first block will be green  =  [tex]\frac{2}{10}[/tex]

Similarly, Probability that the second block will be yellow =  

                               [tex]\frac{\text{Number of yellow blocks}}{\text{Total number of remaining blocks in the bag}}[/tex]

Here, Number of yellow blocks = 5

Total number of remaining blocks in bag = 10 - 1 = 9 blocks  {because we haven't put the block back after choosing the first}

So, Probability that the second block will be yellow  =  [tex]\frac{5}{9}[/tex]

Now, Probability that the first block will be green and the second will be yellow  =  [tex]\frac{2}{10} \times \frac{5}{9}[/tex]

            =  [tex]\frac{1}{9}[/tex]  = 0.111

Hence, the required probability is 0.111.

Final answer:

The possible side lengths for a cubic aquarium that can hold between 4096 cubic inches and 8000 cubic inches of water are between 16 inches and 20 inches.

Explanation:

To find the possible side lengths of an aquarium in the shape of a cube that holds between 4096 cubic inches and 8000 cubic inches of water, you need to find the cube root of each volume since the volume of a cube is V = s³, where s is the side length.

For the minimum volume (4096 cubic inches):
[tex]\sqrt[3]{4096}[/tex] = 16 inches.

For the maximum volume (8000 cubic inches):

[tex]\sqrt[3]{8000}[/tex] = 20 inches.

Hence, the side lengths of the aquarium must be between 16 inches and 20 inches.

Answer:

(-6, 7), r=9

Step-by-step explanation:

The opposite of the number next to the x is -6, the opposite of the number next to the y is 7.  The square root of the number on the right (81) is 9, so 9 is the radius.

Step-by-step explanation:

The concert organizers estimate people will attend if it is not raining = 19000

If its raining people will attend = 4000

On the day of the​ concert, meteorologists predict a 90​% chance of rain.

This means 10 % chance of not raining

The expected number of people = 90% (4000) + 10% (19000)

   = 360 + 1900

  = 2260

The expected number of people who will attend this concert = 2260

Answer:

48

Step-by-step explanation:

Answer:

lower quartile: 163  upper quartile: 184

Step-by-step explanation:

1. put the numbers in order from least to greatest. 97, 163, 169, 175, 184, 199

2. find the median. 172

3. find the median of the first 3 numbers to get your Q1. 163

4. find the median of the last 3 numbers to get your Q3. 184

Answer: 80 degrees

Step-by-step explanation:

A triangle has 180 degrees.

25+75=100

180-100= 80

That means the other angle must equal 80 degrees

Use the slope formula to find slope m. y2-y1/x2-x1

m=2/5

Answer:i would say A i think

Step-by-step explanation:

Answer:

I believe the correct answer is C, sorry for the late answer/response, but I believe this is the right answer. Have a nice day

Step-by-step explanation:

:)

Final answer:

The quotient of the polynomial division (3x³ - x² - x - 1) ÷ (x - 1) is 3x² + 2x + 1 using synthetic division.

Explanation:

To find the quotient of (3x³ - x² - x - 1) ÷ (x -1), we can use polynomial long division or synthetic division. In this case, the coefficient in front of x in the divisor (x - 1) is 1, so we can use synthetic division directly.

Set up the synthetic division by writing the coefficients of the dividend, which are 3, -1, -1, and -1, and the zero of the divisor, which in this case is +1. Carry out the synthetic division process to get the quotient.

The result of the synthetic division gives us the coefficients of the quotient, which are the coefficients for the powers of x in the quotient polynomial, starting from one degree less than the original polynomial because we are dividing by a first-degree polynomial.

The remainder, if there is one, would be the constant at the end or the remainder over the divisor.

The quotient of the polynomial division is (3x² + 2x + 1) with no remainder.

Answer:

The frequency of the note a perfect fifth below C4 is;

B- 174.42 Hz

Step-by-step explanation:

Here we note that to get the "perfect fifth" of a musical note  we have to play a not that is either 1.5 above or 1.5 below the note to which we reference. Therefore to get the frequency of the note a perfect fifth below C4 which is about 261.63 Hz, we have

1.5 × Frequency of note Y = Frequency of C4

1.5 × Y = 261.63

Therefore, Y = 261.63/1.5 = 174.42 Hz.

The frequency of the note a perfect fifth below C4 is 174.42 Hz

The perfect fifth is a musical interval corresponding to a pair of pitches with a frequency ratio of 3:2, or very nearly so.

For the perfect fifth of a musical note,

we have to play a not that is either 1.5 above or 1.5 below the note to which we refer.

Therefore to get the frequency of the note a perfect fifth below C4 which is about 261.63 Hz,

We have

[tex]1.5 \times Frequency of note Y = Frequency of C4[/tex]

[tex]1.5 \times Y = 261.63[/tex]

divide both sides by 1.5

Y = 261.63/1.5 = 174.42 Hz.

Therefore we get, the frequency of the note a perfect fifth below C4 is  174.42 Hz.

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