What are the values of the coefficients and constant term of 0 = 4 – 7x2 + x in standard form?
a =
b =
c =

Answer:

[tex]\large\boxed{-\dfrac{8}{\sqrt{63}}}[/tex]

Step-by-step explanation:

[tex]\csc\theta=\dfrac{1}{\sin\theta}\\\\\cos\theta=-\dfrac{1}{8}\qquad\text{use}\ \sin^2\theta+\cos^2\theta=1\\\\\sin^2\theta+\left(-\dfrac{1}{8}\right)^2=1\\\\\sin^2\theta+\dfrac{1}{64}=1\qquad\text{subtract}\ \dfrac{1}{64}\ \text{from both sides}\\\\\sin^2\theta=\dfrac{64}{64}-\dfrac{1}{64}\\\\\sin^2\theta=\dfrac{63}{64}\to\sin\theta=\pm\sqrt{\dfrac{63}{64}}\\\\180^o<\theta<270^o\to III\ quadrant,\ \sin\theta<0.\\\\\text{Therefore}\ \sin\theta=-\sqrt{\dfrac{63}{64}}=-\dfrac{\sqrt{63}}{\sqrt{64}}=-\dfrac{\sqrt{63}}{8}.[/tex]

[tex]\csc\theta=\dfrac{1}{-\frac{\sqrt{63}}{8}}=-\dfrac{8}{\sqrt{63}}[/tex]

3.82 E+7  is just an engineering format, another way to write it will  be 3.82 x 10⁷ in scientific format, or just 3.82 x 10000000   <--- notice, seven zeros.

and the product of the above is just 38200000, or standard form.

Answer:

The correct answer option is [tex] \frac { 4 } { 4 9 } [/tex].

Step-by-step explanation:

We are to find the probability that both your parents were born on weekend (either Saturday or Sunday).

Total number of days in a week = [tex] 7 [/tex]

Number of days in weekend = [tex] 2 [/tex]

Probability of being born on weekend = [tex] \frac { 2 } { 7 } [/tex]

P (both parents were born on weekend) = [tex]\frac{2}{7} \times \frac{2}{7}[/tex] = 4/49

Answer:

[tex]\large\boxed{Q1.\ \left\{\begin{array}{ccc}y\leq-2x-1\\y\leq x+5\end{array}\right}\\\boxed{Q2.\ 6\leq y-3\leq8}\\\boxed{Q3.\ y\leq x-4}[/tex]

Step-by-step explanation:

<, > - dotted line

≤, ≥ - solid line

<, ≤ - shaded above the line

>, ≥ - shaded below the line

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

The slope intercept form of a line: y = mx + b

m - slope

b - y-intercept (0, b)

If m > 0, then the function is increasing

If m < 0, then the function is decreasing

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

y = -2x - 1 → m = -2 < 0 and b = -1

decreasing function, y-intercept -1 → (0, -1)

y = x + 5 → m = 1 > 0 and b = 5

increasing function, y-intercept 5 → (0, 5)

y = 2x - 1 → m = 2 > 0, and b = -1

increasing function, y-intercept -1 → (0, -1)

y = -x + 5 → m = -1 < 0 and b = 5

decreasing function, y-intercept 5 → (0, 5)

From the picture we have

(1) increasing function and y-intercept 5 → y = x + 5

shaded below the solid line → y ≤ x + 5

(2) decreasing function and y-intercept -1 → y = -2x - 1

shaded below the solid line → y ≤ -2x - 1

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

[tex]9\leq y\leq11[/tex]            subtract 3 from both sides

[tex]9-3\leq y-3\leq11-3\\\\6\leq y-3\leq8[/tex]

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

solid line (≤ or ≥)

shaded below the line (≤ or <)

y ≤ x - 4

Answer:

Subtract 360° to find a negative coterminal angle. Angles that measure 240° and –480° are coterminal with a –120° angle. For an angle θ in standard position, the reference angle is the positive acute angle formed by the terminal side of θ and the x-axis.

Step-by-step explanation:

No because 9:6 is 1.5 and 4:3 is 1.333...

Answer:

Step-by-step explanation:

[tex]9:6=\dfrac{9}{6}=\dfrac{9:3}{6:3}=\dfrac{3}{2}\neq\dfrac{4}{3}=4:3\\\\\text{Other method:}\\\\9:6=\dfrac{9}{6}\\\\4:3=\dfrac{4}{3}\\\\\dfrac{9}{6}=\dfrac{4}{3}\qquad\text{cross multiply}\\\\(9)(3)=(6)(4)\\\\27=24\qquad\bold{FALSE}[/tex]

Answer:

To find the mean absolute deviation of the data, start by finding the mean of the data set. Find the sum of the data values, and divide the sum by the number of data values. ... Divide the sum of the absolute values of the differences by the number of data values.

Sample Answer: First, find the mean of the data set by averaging. Next, find the absolute deviations for each data point. That is, find the distance each point is from the mean. Then find the mean of the absolute deviations.

Answer:

C.  d × 15 = 100

Step-by-step explanation:

The distance d in meters that Martin covers per second is 100 m/15 sec.

We write this as: d= 100/15. It is the same as:

d × 15 = 100

Thus, the correct answer would be C.

Answer:

The answer is C for sure . Hope everyone has a good day .

Step-by-step explanation:

Answer:

I dont know the answer

Step-by-step explanation:

But you can find the answer by figuring out what a domain and a range iss and chose which one is a domain and a range you can find what a domain and a range is on google

-The domain has all possible values of S so is the amount of sugar transported.

-The range has all possible values of C so is the cost to transport sugar

Answer:

There are 26 different possible outcomes. the probability of the computer choosing the first letter of your name is 1 out of 26.

Answer:

[tex]n\le 5[/tex]

Step-by-step explanation:

Let n be the number of tickets Makaya has to buy.

If the cost of one ticket is $1.5, then the cost of n tickets is $1.5n.

Makayla has $8 to buy tickets at the school fair, thus

[tex]1.5n\le 8\\ \\n\le \dfrac{8}{1.5}\\ \\n\le \dfrac{80}{15}\\ \\n\le \dfrac{16}{3}\\ \\n\le 5\dfrac{2}{3}[/tex]

The maximum number of tickets Makaya can buy is 5, so

[tex]n\le 5[/tex]

Answer: [tex]f(2)=44[/tex]

Step-by-step explanation:

Given the polynomial [tex]f(x) =3x^3+5x^2+x-2[/tex], you can evaluate it for the given value of the variable "x" by substituting the value [tex]x=2[/tex] into the polynomial.

Therefore, when [tex]x=2[/tex],  you get the following result:

[tex]f(x) =3x^3+5x^2+x-2 \\\\f(2) =3(2)^3+5(2)^2+(2)-2\\\\f(2)=3(8)+5(4)+2-2\\\\f(2)=24+20\\\\f(2)=44[/tex]

Answer:

C

Step-by-step explanation:

The equation represents speed as a function of time. The point (3,120) implies that the car with a speed of 40 miles per hour, travelled a total of 120 miles in a time span of 3 hours.

In this scenario, the equation ys = 40x relates the speed of the car (40 miles per hour) to the time travelled (x in hours). The 'y' in the equation represents the distance travelled by the car. So, when interpreting the point (3,120) on the graph for this equation, '3' refers to time (hours) and '120' refers to distance travelled (miles).

Thus, the point (3,120) on the graph signifies that the car travelled 120 miles in 3 hours, so the correct answer is C. The car traveled 120 miles In 3 hours.

https://brainly.com/question/1638242

#SPJ3

ANSWER

The correct answer is C

EXPLANATION

We want to find the quotient:

[tex] - \frac{10}{19} \div ( - \frac{5}{7} )[/tex]

We multiply by the reciprocal of the second fraction:

[tex]- \frac{10}{19} \times ( - \frac{7}{5} )[/tex]

We cancel out the common factors to obtain:

[tex]- \frac{2}{19} \times ( - \frac{7}{1} )[/tex]

We multiply to get

[tex]\frac{ - 2 \times - 7}{19 \times 1} [/tex]

This simplifies to :

[tex] \frac{14}{19} [/tex]

The correct answer is C

The answer is:

Option C.

[tex]\frac{14}{19}[/tex]

To perform fraction division, we need to follow the convert the expression and multiply the first fraction (numerator) by the inverse of the second fraction (denominator).

For example:

[tex]\frac{\frac{a}{b} }{\frac{c}{d} }=\frac{a}{b}*\frac{d}{c}[/tex]

So, we are given the following expression:

[tex]-\frac{10}{19}\div (-\frac{5}{7})[/tex]

Which is equal to:

[tex]\frac{-10}{19}\div (\frac{-5}{7})[/tex]

Then, calculating we have:

[tex]\frac{-10}{19}\div (\frac{-5}{7})=\frac{10}{19}*\frac{7}{5}\\\\\frac{10}{19}*\frac{7}{5}=\frac{10*7}{19*5}=\frac{70}{95}\\\\\frac{70}{95}=\frac{5*14}{5*19}=\frac{14}{19}[/tex]

Hence, we have that the correct option is:

Option C.

[tex]\frac{14}{19}[/tex]

Have a nice day!

[tex]\bf \begin{array}{ccll} book&days\\ \cline{1-2}\\ \frac{3}{4}&2\\\\ x&4\frac{1}{3} \end{array}\implies \cfrac{~~\frac{3}{4}~~}{x}=\cfrac{~~2~~}{4\frac{1}{3}}\implies \cfrac{~~\frac{3}{4}~~}{x}=\cfrac{~~2~~}{\frac{13}{3}} \implies \cfrac{~~\frac{3}{4}~~}{\frac{x}{1}}=\cfrac{~~\frac{2}{1}~~}{\frac{13}{3}}[/tex]

[tex]\bf \cfrac{3}{4}\cdot \cfrac{1}{x}=\cfrac{2}{1}\cdot \cfrac{3}{13}\implies \cfrac{3}{4x}=\cfrac{6}{13}\implies 39=24x\implies \cfrac{39}{24}=x\implies \cfrac{13}{8}=x \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ ~\hfill 1\frac{5}{8}=x~\hfill[/tex]

Answer:

48

Step-by-step explanation:

Here are two methods for finding the answer.

Method A.

In 1 foot, there are 4 1/4-foot pieces.

In 12 feet, there are 12 times as many as in 1 foot.

12 * 4 = 48

Method B.

Divide 12 ft by 1/4 ft.

12/(1/4) = 12 * 4/1 = 12 * 4 = 48

Answer: 48

48 cut from a 12 foot board.

Bed cradles and foot boards are devices that attach to your bed. They keep sheets and blankets from touching and rubbing your legs or feet. Foot boards will also keep your feet in proper position while you are in bed.

In 1 foot, there are 4 1/4-foot pieces.

In 12 feet, there are 12 times as many as in 1 foot.

12 ×4 = 48

Divide 12 ft by 1/4 ft.

12/(1/4) = 12 ×4/1

= 12 × 4 = 48

1/4 foot pieces can you cut from a 12 foot board = 48

To learn more about foot pieces, refer

https://brainly.com/question/1236214

#SPJ2

The table that best shows the impacts resulting from human activity is:

Impact of Human Activities

Human Activity Impact

Forest area cleared to construct an airport Increase in sound pollution

Vegetation cleared to construct a power plant Contamination of water

Hence the correct option is 2.

In the table illustrating the impacts resulting from human activities, the most fitting combination is the one stating that clearing forest areas to construct an airport leads to an increase in pollution, while the vegetation cleared for a power plant results in the contamination of water.

This pairing accurately reflects the environmental consequences associated with these specific human actions. When forests are cleared for airport construction, it often involves disrupting ecosystems, releasing pollutants, and contributing to air pollution.

On the other hand, clearing vegetation for a power plant can lead to water contamination, potentially through the release of pollutants into nearby water sources. This representation effectively highlights the diverse environmental impacts of human activities on both air and water quality, emphasizing the importance of responsible practices to mitigate these detrimental effects. Hence the correct option is 2.

Option 2 is correct. It directly links human activities to negative environmental consequences like sound pollution from airport construction and water contamination from power plant development.

Forest area cleared to construct an airport leading to an increase in sound pollution: This illustrates a direct impact of human activity on the environment. Clearing forests for infrastructure development like airports often leads to increased noise pollution due to aircraft operations and associated activities.

Vegetation cleared to construct a power plant leading to contamination of water: Again, this demonstrates a direct consequence of human activity. The clearance of vegetation for industrial purposes such as power plants can result in soil erosion and runoff, which may contaminate nearby water sources with sediments, chemicals, or pollutants.

Both of these impacts highlight tangible and negative consequences of human activities on the environment, emphasizing the importance of considering the environmental impacts of development and infrastructure projects. Therefore, option 2 effectively portrays the impacts resulting from human activities.

Complete Question:

Which table best shows the impacts resulting from human activity?

1) Impact of Human Activities:

Human Activity ; Impact

Forest area cleared to construct an airport  ; Increase in oxygen level

Vegetation cleared to construct an oil mine  ;  Increase in pollution

2) Impact of Human Activities:

Human Activity  ;    Impact

Forest area cleared to construct an airport  ;  Increase in sound pollution

Vegetation cleared to construct a power plant  ;  Contamination of water

3) Impact of Human Activities:

Human Activity  ;  Impact

Beehives cleared from urban areas  ;  Increase in vegetation

Dams constructed on a river    ;    Increase in fish population

4) Impact of Human Activities

Human Activity   ;  Impact

Beehives cleared from urban areas   ;  Increase in bird population

Dams constructed on a river    ;   Better quality of water

Answer:

If (x+k) is a factor of f(x), then -k is a root (or solution) of f(x).

Step-by-step explanation:

Where are the answer choices?  Please share them.

If (x+k) is a factor of f(x), then -k is a root (or solution) of f(x).

If (x+k) is a factor of f(x), then f(-k) = 0

from the question, we have the following parameters that can be used in our computation:

(x + k) is a factor of f(x)

If (x+k) is a factor of f(x), then f(-k) = 0. This is known as the factor theorem.

It states that if a polynomial f(x) has a factor of (x-a), then f(a) = 0.

In this case, since (x+k) is a factor of f(x), we can substitute -k for x in the factor theorem to get f(-k) = 0.

Read more about remainder theorem at

https://brainly.com/question/27749132

#SPJ3

Answer: 1/2, because its 0.583 and 1/2 is 0.5

Step-by-step explanation:

Answer:

Final answer is 1/2.

Step-by-step explanation:

Given numbers are 0, 1/2 and 1.

Now we need to find about which one of those three numbers is close to 7/12.

Since 7/12 has denominator 12 so let's convert each of the given number into their equivalent fractions with denominator 12.

0=0/12

1/2=6/12

1=12/12

Now we can easily compare them with 7/12 and find that 6/12 or 1/2 is closest.

Hence final answer is 1/2.

Answer:

(fog)(2)=2

Step-by-step explanation:

Given

f(x)= -2x+8

and

g(x)= √(x+7)

For finding (fog)(2), we have to find (fog)(x) first

In order to find (fog)(x) we will put the value of g(x) in f(x) in place of x.

(fog)(x)= -2g(x)+8

Putting the value of g(x)  

(fog)(x)= -2√(x+7)+8

We have to find (fog)(2), so we have to put at the place of x in the composition

(fog)(x)= -2√(2+7)+8

(fog)(x)= -2√9+8

= -2(3)+8

= -6+8

=2

So,

(fog)(2)=2   ..

Answer:

Step-by-step explanation: 4+3 =7 126/7= 18 (Ethan is 4*18) and (Aiden is 3*18) because 72+54=126 so aiden gets 54

Adíen gets 54 dollars hope this helps

Answer:

Final answer is [tex]W=\frac{CL}{100}[/tex].

Step-by-step explanation:

Given equation is [tex]C=\frac{100W}{L}[/tex].

Now we need to solve the given equation [tex]C=\frac{100W}{L}[/tex] for indicated variable W.

That means we need to isolate W. In other words move 100 and L to the right side of the equation.

[tex]C=\frac{100W}{L}[/tex]

[tex]CL=100W[/tex]

[tex]\frac{CL}{100}=W[/tex]

[tex]W=\frac{CL}{100}[/tex]

Hence final answer is [tex]W=\frac{CL}{100}[/tex].

Answer:

the equation of circle is x²  + y² + 6x - 24y + 128 = 0

Step-by-step explanation:

To find the general form of the equation of the circle with center A (-3, 12) and radius r=5,  we simply use this formula;

General Equation of a circle is   (x - a)²  +  (y-b)² = r²

(a,b) are the two point at the center of the circle which are (-3, 12)

which implies a = -3 and b = 12

r is the radius of the circle which is given as 5 from the above diagram

to get r², we simply square 5 and so r²  = 25

We can now plug in the values of our variables into the equation

(x - a)²  +  (y-b)² = r²

(x - [-3])²   +   ( y  -  12)²  =   5²

(x +3)²   +   ( y  -  12)²  =   5²

we will expand all the brackets

x² +  6x +  9  + y² -24y + 144 = 25

x² +6x + y² -24y + 153 = 25

Take 25 to the left hand side of the equation

x² +6x + y² -24y + 153  -  25 = 0

x² +6x + y² -24y + 128 = 0

Rearranging the equation to give us a standard form of the equation of the circle, we have;

x² + y² + 6x - 24y  + 128 =0

{Note:  (x + 3)²  =  (x+3)(x+3) = x² + 6x + 9 and  

(y - 12)²  = (y -12)(y-12) = y² - 24y + 144}

Therefore the general form of the equation  of a circle with center(-3, 12) and radius 5 is x² + y² + 6x - 24y  + 128 =0

Answer:

Bianca can make 28 pans of brownies in 7 hours

Step-by-step explanation:

As we know, 1 hour = 60 minutes

so, 1/2 hour = 30 minutes

Bianca takes 1/2 hour to make pans of brownies = 2 pans

Bianca takes 1 hour to make pans of  brownies = 2 / (1/2) pans

Bianca takes 7 hour to make pans of  brownies = 4 * 7 pans

                                                                                = 28 pans

So, Bianca can make 28 pans of brownies in 7 hours.

Answer:

x > -1/2

Step-by-step explanation:

Step 1: Use the Distributive Property

-2x - 1 < 0

Step 2: Isolate x

-2x < 1

Step 3: Simplify

x > -1/2

Note that when dividing by a negative in an inequality, reverse the inequality symbol.

Answer:

C

Step-by-step explanation:

Because if you have 75 baskets of 30 then you have to multiply 75x30 it is the same thing with 50x45. Hope this helps

Answer:C) 75x30) +(50x45)

Step-by-step explanation: 75 * 30 for the 30 apples in each basket and 50 * 45 for the 45 in each and put them into their own equation with parenthesees. Then add to find the total

ANSWER

A. <AKC and <TKI

D. <IKR and <AKP

EXPLANATION

Vertical angles are also called X-angles.

They are angles in the opposite corners of a figure that looks like X.

From the diagram, the options that are vertical angles are:

A. <AKC and <TKI

D. <IKR and <AKP

The correct answers are A and D.

Answer:

A and D.

Step-by-step explanation:

A pair of angles are vertical if both measure the same and both are opposite by a vertex. Then, in the figure we have that

∠AKC and ∠TKI are vertical angles

∠AKP and ∠PKI are not vertical angles (∠PKI measures more than ∠AKP and these angles are not opposite by a vertex).

∠AKT and ∠PKC are not vertical angles (same reason as the second option).

∠IKR and ∠AKP are vertical angles.

Combing like terms you have 0.25k - k = -0.75k

and 1.5 - 3.5 = -2.0

The answer would be -0.75k - 2.0

0.25k + 1.5 - k - 3.5

You must combine like terms. Like terms are the numbers with the same variable (letter) attached (in this case the numbers with the letter k are like terms)

(0.25k + (-k) )+ 1.5 - 3.5 <<<Remember that a variable with no number in front of it still has and invisible 1

(0.25k + (-1k) ) + 1.5 - 3.5

-0.75k + 1.5 - 3.5  

Numbers without any variable are also like terms

-0.75k + 1.5 - 3.5

-0.75k -2

Hope this helped!

~Just a girl in love with Shawn Mendes

Answer:

6y - 3y - 7 = -2 +3

Simplify both sides:

3y -7 = 1

Add 7 to both sides:

3y = 8

Divide both sides by 3:

y = 8/3 = 2 2/3

There is only one solution.

The answer is:

The third option,

c) [tex]h(x)=2.25x-22[/tex]

We are given the functions E(x) and K(x), since they both are function of the same variable, we need to calculate the difference between them.

From the statement we know the functions:

[tex]f(x)=9.75x+62[/tex]

and

[tex]g(x)=7.5x+84[/tex]

So, calculating the difference the functions we have:

[tex]h(x)=f(x)-g(x)[/tex]

[tex]h(x)=(9.75x+62)-(7.5x+84)[/tex]

[tex]h(x)=(9.75x+62)-(7.5x+84)[/tex]

[tex]h(x)=9.75x-7.5x+62-84[/tex]

[tex]h(x)=2.25x-22[/tex]

Hence, the answer is the third option,

c) [tex]h(x)=2.25x-22[/tex]

Have a nice day!

Answer: Option C

[tex]h(x)=2.25x-22[/tex]

Step-by-step explanation:

To find the function h(x) that models the difference between Hector's and Cari's gains, subtract the functions f(x) with g(x)

That is to say:

[tex]h (x) = f (x) -g (x)[/tex]

We know that

[tex]f (x) = 9.75x + 62\\\\g (x) = 7.5x + 84[/tex]

Then we can find the function h(x)

[tex]h(x) = 9.75x + 62 - (7.5x + 84)\\\\h(x) = 9.75x + 62 -7.5x -84[/tex]

[tex]h(x)=2.25x-22[/tex]