Every positive number is also a rational number True or false

Answers

Answer 1

Answer:

false

Step-by-step explanation:

hope this helps✨


Related Questions

Find the equation of the line with slope – 3 and that contains the point (-2,-6). Write the equation in the form y = mx +b and
identify m and b.

Answers

Answer:

m = -3

b = 0

equation of line

y = -3x

Step-by-step explanation:

in the  the equation in the form y = mx +b

m is the slope

b is the y intercept.

__________________________________________________

given slope = -3

thus,

m = -3

the required equation of line is

y = mx +b  

put m = -3

y = -3x + b

to find b , we put x = -2, y = -6 as this equation contains point (-2,-6).

-6 = -3*-2 + b

=> -6 = -6 + b

=> b = -6 + 6 = 0

thus. m = -3

b = 0

equation of line

y = -3x

Simplify. Explanation if you can.

Answers

Answer:

10

Step-by-step explanation:

This expression uses the idea of exponential edition.  The basis is, when you have the same base number being multiplied, you can add the exponentials.  

Consider the case of 2 * 2.  We know this to be 4.  When writing 2 * 2, you can write this as 2^1 * 2^1 == 2^(1+1) == 2^2 == 4.  See how we added the powers to get the new exponential?

We will apply this same idea here.

10^(1/2) * 10^(1/2) == 10^(1/2 + 1/2) == 10^(1) == 10.

So, the simplified expression is 10.

Cheers.

A car is going 8 meters per second on an access road into a highway
and then accelerates at 1.8 meters per second squared for 7.2
seconds. How fast is it then going?

Answers

Answer:

20.96 m/s is the final speed.

Step-by-step explanation:

Given that:

Initial speed of the car = 8 m/s

Acceleration of the car = 1.8 m/[tex]s ^{2}[/tex]

Time for which the car accelerates = 7.2 seconds

To find:

The speed of car after accelerating for 7.2 seconds at an acceleration of 1.8 m/[tex]s ^{2}[/tex] = ?

Solution:

First of all, let us have a look the formula given for the final velocity of an object with given initial speed, acceleration and time:

[tex]v=u+at[/tex]

Where [tex]v[/tex] is the final speed of object

[tex]u[/tex] is the initial speed of an object

[tex]a[/tex] is the acceleration of object and

[tex]t[/tex] is the time

Here, [tex]u = 8\ m/s[/tex]

[tex]a = 1.8\ m/s^{2}[/tex] and

[tex]t = 7.2\ seconds[/tex]

To find:

[tex]v = ?[/tex]

Let us put all the given values in the formula:

[tex]v =8+1.8 \times 7.2\\\Rightarrow v =8+12.96\\\Rightarrow \bold{v =20.96\ m/s}[/tex]

So, the answer is:

20.96 m/s is the final speed.

Question 8 options: Solve for the value of X. 23X = 6

Answers

Answer:

divide both sides by 23

making it to be 0.26

The value of x from the equation 23x =6 is x= 6/23.

To solve for the value of x in the equation 23x = 6, we need to isolate x on one side of the equation.

Divide both sides of the equation by 23:

(23x) / 23 = 6 / 23

Simplifying:

x = 6 / 23

Therefore, the value of x is 6 divided by 23, which can be left as a fraction or decimal depending on the desired form.

Learn more about Equation here:

https://brainly.com/question/29538993

#SPJ6

5(x – 2y)
2x+y
when x = 4 and y= -3

Answers

Answer:

50

Step-by-step explanation:

first you plug in 4 for x and -3 for y. then you solve

Answer: 50 and 5, respectively

Step-by-step explanation:

For this problem, we are given x and y. With the x and y value given, all we have to do is to plug them into the expressions and solve.

5(x-2y)                        [plug in x=4 and y=-3]

5((4)-2(-3))                 [combine like terms by using order of operations]

5(4+6)

5(10)=50

-----------------------------------------------------------------------------------------------------------

2x+y                            [plug in x=4 and y=-3]

2(4)+(-3)                     [combine like terms by using order of operations]

8-3=5

Now that we have plugged in x=4 and y=-3 into the two expressions, we get 50 for the first expression and 5 for the second equation.

Consider the solid obtained by rotating the region bounded by the given curves about the y-axis. y = ln x, y = 3, y = 5. x = 0 Find the volume V of this solid. V = ____ Sketch the region, the solid, and a typical disk or washer. (Do this on paper. Your instructor may ask you to turn in this work.)

Answers

Answer:

volume = 33965.39

Step-by-step explanation:

Attached below is a detailed solution of the problem and the required sketch

volume of this solid is calculated integrating about the axis of : 5,3

Y = In x = x = e^y

the shaded region in the sketch represent the region where the rotating takes place.

You find yourself stuck in a traffic jam. It is not rush hour. You feel frustrated and wonder what is holding up traffic Which of the following are plausible hypotheses for explaining the problem?
Check all that apply.
a) It is Friday the 13th, and you think that because this is considered a day for bad luck, that must be why there is a traffic jam. ?
b) You were in a hurry this morning, and you forgot to bring your lucky rabbit's foot with you. That's why you are now stuck in traffic.
c) There is an accident ahead, which often causes traffic to slow.
d) There is a sale at the mall near an exit up ahead, and everyone on the road is going to the sale
e) Road repairs are being made today, and you didn't know about it.

Answers

Answer:

There is an accident ahead, which often causes traffic to slow.

Step-by-step explanation:

Looking at the question closely, we understand that the traffic jam occurred at a time that is not generally regarded as a rush hour.

A traffic jam due to road repair is not really an option because roads are closed during repairs. Shop malls announce their special sales days ahead of time so that many people will hear about it.

However, it is likely that an accident occurred. An road accident may suddenly occur on an otherwise less busy road. This often leads to an unusual delay in traffic irrespective of the hour of the day when it occurs.

If f(x) = 5x + 3x² - 7x
g(x) = 3x - 5x2 - 2
h(x) = -9x² + 8

find g(x) + h(x)
A) -6x - 5x + 6
B) 3x3 - 14x + 6
C) 3x2 - 4x + 10
D) - 11x + 10

Answers

Answer:

the answer is going to be A. -6x - 14 x+ 6

2/3x-2=5/6x
A: The solution set is (_) Simplified
B: There is no solution
Pick one and if A then simplify the answer

Answers

Answer:

x = - 12

Step-by-step explanation:

2                5

--- x - 2 =   --- x

3                6

2x             5

---  - 2 =  ------ x

3             3 * 2

(2x) - 3 * 2          5x

----------------  =  --------

       3               2 * 3

x = - 12

is -17 rational or irrational?

Answers

-17 is Irrational .............

-17 is a rational number

What is a rational number?

A rational number is any number that can be expressed as the quotient or fraction p/q of two integers, with the denominator q not equal to zero. Rational numbers have finite or recurring decimal expansions. Irrational numbers are numbers that can not be expressed as the ratio or fraction of two integers. Irrational numbers have non-terminating and non-repeating decimal expansions.

Whereby -17 can be expressed as the value -17/1, based on the definition of a rational number, -17 is a rational number

Learn more on rational numbers here: https://brainly.com/question/16933806

#SPJ6

You want to get from a point A on the straight shore of the beach to a buoy which is 54 meters out in the water from a point B on the shore. B is 70 meters from you down the shore. If you can swim at a speed of 5 meters per second and run at a speed of 7 meters per second, at what point along the shore, x meters from B, should you stop running and start swimming if you want to reach the buoy in the least time possible

Answers

Answer:

[tex]x =\dfrac{45 \sqrt{6}}{ 2}[/tex]

Step-by-step explanation:

From the given information:

The diagrammatic interpretation of what the question is all about can be seen in the diagram attached below.

Now, let V(x) be the time needed for the runner to reach the buoy;

∴ We can say that,

[tex]\mathtt{V(x) = \dfrac{70-x}{7}+\dfrac{\sqrt{54^2+x^2}}{5}}[/tex]

In order to estimate the point along the shore, x meters from B, the runner should  stop running and start swimming if he want to reach the buoy in the least time possible, then we need to differentiate the function of V(x) and relate it to zero.

i.e

The differential of V(x) = V'(x) =0

=[tex]\dfrac{d}{dx}\begin {bmatrix} \dfrac{70-x}{7} + \dfrac{\sqrt{54^2+x^2}}{5} \end {bmatrix}= 0[/tex]

[tex]-\dfrac{1}{7}+ \dfrac{1}{5}\times \dfrac{x}{\sqrt{54^2+x^2}}=0[/tex]

[tex]\dfrac{1}{5}\times \dfrac{x}{\sqrt{54^2+x^2}}= \dfrac{1}{7}[/tex]

[tex]\dfrac{5x}{\sqrt{54^2+x^2}}= \dfrac{1}{7}[/tex]

[tex]\dfrac{x}{\sqrt{54^2+x^2}}= \dfrac{1}{\dfrac{7}{5}}[/tex]

[tex]\dfrac{x}{\sqrt{54^2+x^2}}= \dfrac{5}{7}[/tex]

squaring both sides; we get

[tex]\dfrac{x^2}{54^2+x^2}= \dfrac{5^2}{7^2}[/tex]

[tex]\dfrac{x^2}{54^2+x^2}= \dfrac{25}{49}[/tex]

By cross multiplying; we get

[tex]49x^2 = 25(54^2+x^2)[/tex]

[tex]49x^2 = 25 \times 54^2+ 25x^2[/tex]

[tex]49x^2-25x^2 = 25 \times 54^2[/tex]

[tex]24x^2 = 25 \times 54^2[/tex]

[tex]x^2 = \dfrac{25 \times 54^2}{24}[/tex]

[tex]x =\sqrt{ \dfrac{25 \times 54^2}{24}}[/tex]

[tex]x =\dfrac{5 \times 54}{\sqrt{24}}[/tex]

[tex]x =\dfrac{270}{\sqrt{4 \times 6}}[/tex]

[tex]x =\dfrac{45 \times 6}{ 2 \sqrt{ 6}}[/tex]

[tex]x =\dfrac{45 \sqrt{6}}{ 2}[/tex]

Need help solving please.​

Answers

Answer:

25/36

Step-by-step explanation:

Solved in steps:

- 2/9 - ( -11/12) =- 2/9 + 11/12 = - 2*4/9*4 + 11*3/12*3 =-8/36 + 33/36 = 25/36

Simplest fraction is 25/36

Fast Food and Gas Stations Forty percent of all Americans who travel by car look for gas stations and food outlets that are close to or visible from the highway. Suppose a random sample of n = 25 Americans who travel by car are asked how they determine where to stop for food and gas. Let x be the number in the sample who respond that they look for gas stations and food outlets that are close to or visible from the highway.
a. What are the mean and variance of x?
b. Calculate the interval p-±2a. What values of the binomial random variable x fall into this interval?
c. Find P(6 ≤ x ≤ 14). How does this compare with the fraction in the interval WO for any distribution? For mound-shaped distributions?

Answers

Answer:

a

mean [tex]\mu = 10[/tex] variance [tex]\sigma^2 = 6[/tex]

b

The binomial random variable x fall into this interval ranges from

     - 5  to  5

c

[tex]P(6 \le x \le 14) = 0.8969[/tex]  

Step-by-step explanation:

From the question we are told that

  The sample size is  [tex]n = 25[/tex]

   The  percentage that look for gas stations and food outlets that are close to or visible from the highway is  [tex]p = 0.40[/tex]

Generally the mean is mathematically represented as

       [tex]\mu = n * p[/tex]

=>     [tex]\mu = 0.40 * 25[/tex]

=>    [tex]\mu = 10[/tex]

The variance is mathematically represented as

      [tex]\sigma^2 = np(1- p )[/tex]

=>   [tex]\sigma^2 = 25 * 0.40(1- 0.40 )[/tex]

=>    [tex]\sigma^2 = 6[/tex]

The  standard deviation is mathematically evaluated as

     [tex]\sigma = \sqrt{\sigma^2}[/tex]

     [tex]\sigma = \sqrt{6}[/tex]

    [tex]\sigma = 2.45[/tex]

The  interval is evaluated as

       [tex]p\pm 2 \sigma[/tex]

=>   [tex]p - 2 \sigma\ \ \ , \ \ \ p + 2\sigma[/tex]

=>   [tex]0.40 - 2 *2.45\ \ \ , \ \ \ 0.40 + 2* 2.45[/tex]

=>   [tex]-4.5\ \ \ , \ \ \ 5.3[/tex]

The binomial random variable x fall into this interval ranges from

     - 5  to  5

Generally

    [tex]P(6 \le x \le 14) = P(\frac{ x - \mu }{\sigma } \le \frac{14 - 10}{{2.45}} ]-P[ \frac{ x - \mu }{\sigma } \le \frac{6 - 10}{2.45 } ][/tex]

     [tex]P(6 \le x \le 14) = P(Z \le 1.63 ]-P[ Z \le -1.63 ][/tex]

     [tex]P(6 \le x \le 14) = [1- P(Z > 1.63 ]] -[1- P[ Z > -1.63 ]][/tex]      

From the z-table  

                 [tex]P(Z > 1.63 ) = 0.051551[/tex]

And

                [tex]P(Z >- 1.63 ) =0.94845[/tex]

=>        [tex]P(6 \le x \le 14) = [1-0.051551] -[1-0.94845][/tex]      

=>        [tex]P(6 \le x \le 14) = 0.8969[/tex]  

4.) To find the distance between (17, 3) and (17, −5), Marcia used the following equation. Is Marcia correct? Explain. WILL MARK BRAINLIEST FOR RIGHT ANSWER '
D = | 3 − (−5) | = 8
a.) Marcia is not correct. Since the points are in two-dimensions, the distance formula must be used to find the distance.
b.)Marcia is correct. For any pair of points, the distance between the points can be treated as if they are in one-dimension.
c.)Marcia is correct. Since the x-coordinates are the same, the distance between the points can be treated as if they are in one-dimension.
d.)Marcia is not correct. According to the distance formula, the distance should be D=√(17-17)^2+(3-(-5))^2=√8

Answers

Answer:

C

Step-by-step explanation:

3-(-5=8

3+5=8

They are on the same x axis so all you have to do is add 3 and 5 together.

Answer:

c) Marcia is correct. Since the x-coordinates are the same, the distance between the points can be treated as if they are in one-dimension.

Step-by-step explanation:

a) Marcia is not correct. Since the points are in two-dimensions, the distance formula must be used to find the distance.

No, in this case x-coordinates are same and this can be treated same as number line

b) Marcia is correct. For any pair of points, the distance between the points can be treated as if they are in one-dimension.

No, it is not the case for any pair of points

c) Marcia is correct. Since the x-coordinates are the same, the distance between the points can be treated as if they are in one-dimension.

Yes, in this case x-coordinates are same (17)

d) Marcia is not correct. According to the distance formula, the distance should be D=√(17-17)^2+(3-(-5))^2=√8

No, formula is correct but the answer is incorrect

What is the equation of the line that passes through the point (-6, -8) and has an
undefined slope?

Answers

Answer: x=-6

Step-by-step explanation:

Undefined slopes are vertical lines, so there's no y variable in the equation. so you look at the point (-6, -8) and take out the y, which is negative eight. So your answer is negative six.

The equation of the line that passes through the point (-6, -8) and has an undefined slope will be y + 8 = m (x + 6).

What is a linear equation?

A relationship between two or more parameters that, when shown on a graph, produces a linear model. The degree of the variable will be one.

The linear equation is given as,

y = mx + c

Where m is the slope of the line and c is the y-intercept of the line.

Then the equation of the line that passes through the point (-6, -8) and has an undefined slope will be

y + 8 = m (x + 6)

The equation of the line that passes through the point (-6, -8) and has an undefined slope will be y + 8 = m (x + 6).

More about the linear equation link is given below.

https://brainly.com/question/11897796

#SPJ2

2. Two researchers make a test concerning the levels of marital satisfaction among military
families. Researcher A collects a sample of 22 married couples (n = 22); Researcher B
collects a sample of 40 married couples (n = 40). All other things being equal, which
researcher has more power to detect an effect? Explain.​

Answers

Answer:

Researcher B

Step-by-step explanation:

Power of statistics is the probability that a test will correctly reject a false null hypothesis.

This probability is more accurate with greater sample size as it is better representation of the population.

Therefore researcher B has more power to detect an effect since he has nearly twice sample size (40 vs 22)

A lake initially contains 1000 fish. Suppose that in the absence of predators or other causes ofremoval, the fish population increases by 10% each month. However, factoring in all causes, 80 fishare lost each month.Give a recurrence relation for the population of fish afternmonths. How many fish are there after5 months? If your fish model predicts a non-integer number of fish, round down to the next lowerinteger

Answers

Answer:

A) P_n = 1.06(P_(n-1)) - 80

B) 887 fishes

Step-by-step explanation:

A) We are told that the lake initially contains 1000 fishes.

Thus, P_o = 1000

Now, the number of fishes increases by 6% each month

Thus, after n months, we have;

P_n = P_(n-1) + 0.06P_(n-1)

P_n = 1.06P_(n-1)

Where P_(n-1) is the population of fish in the previous month.

We are told that 80 fishes are lost each month.

Thus;

P_n = 1.06(P_(n-1)) - 80

B) We want to find out how many fishes we have after 5 months.

Thus;

P_5 = 1.06(P_(5-1)) - 80

P_5 = 1.06(P_4) - 80

We don't know P_4,thus;

P_o = 1000

P_1 = 1.06(1000) - 80 = 980

P_2 = 1.06(980) - 80 = 958.8

P_3 = 1.06(958.8) - 80 = 936.328

P_4 = 1.06(936.328) - 80 = 912.50768

Thus,

P_5 = 1.06(912.50768) - 80 = 887.2581408 ≈ 887

If point Q is translated 5 units to the right an 5 units down , what are the coordinates of Q?

Answers

Answer:

Q  has coordinates (qx+5, qy-5)

Step-by-step explanation:

Q  has coordinates (qx, qy)

we move 5 units to the right so add 5 to the value of x

Q  has coordinates (qx+5, qy)

we move 5 units down so subtract 5 from the value of y

Q  has coordinates (qx+5, qy-5)

A five-question quiz is taken in which the first and second questions have four answer choices, the third and fourth questions have three answer choices, and the last question has five answer choices. If a student randomly marks an answer for each question, what is the expected number of questions he will answer correctly?

Answers

Answer:

1.37

Step-by-step explanation:

The student can give only 0.139 % answer correctly.

The first and second questions have four answer choices,

Probability of first and second question answer correctly is,

                [tex]P_{1}=\frac{1}{4}*\frac{1}{4} =\frac{1}{16}[/tex]

The third and fourth questions have three answer choices,

Probability of third and fourth question answer correctly is,

           [tex]P_{2}=\frac{1}{3} *\frac{1}{3}=\frac{1}{9}[/tex]

The last question has five answer choices.

Probability of fifth question answer correctly is,

              [tex]P_{3}=\frac{1}{5}[/tex]

The probability of corrected answer is,

        [tex]P=P_{1}*P_{2}*P_{3}\\\\P=\frac{1}{16} *\frac{1}{9}*\frac{1}{5}=\frac{1}{720}[/tex] = 0.139 %

Hence, The student  can give only 0.139 % answer correctly.

Learn more:

https://brainly.com/question/10734660

help!!! 10 points! <33

Answers

Answer:

B and C

Step-by-step explanation:

1/5 prefer apple juice

T = prefer orange juice

9/20 prefer apple or oranger juice

First, we can subtract 1/5 from 9/20 to get 1/4 (simplified)

Equation = 9/20  - 4/20 = 5/20 = 1/4

Plug it in:

A. 9/20 + 1/4 =1/5 (Incorrect)

B. 1/5 + 1/4 = 9/20 (Correct

C. 1/4 + 1/5 = 9/20 (Correct)

D. 1/4 - 1/5 = 9/20 (Incorrect)

Answer:

1/5 + t = 9/20

t + 1/5 = 9/20

Step-by-step explanation:

1/5 are apple + unknown for orange = apple + orange

1/5  + unknown = 9/20

Let t = unknown

1/5 + t = 9/20

order doesn't matter on the left side since we are adding

t+1/5 = 9/20

What is 12 5/13 as an improper fraction

Answers

Answer: 161/13

Step-by-step explanation: 1. Multiply the denominator by The number

2. add the answer from step one to the numerator

3. Write the answer from step 2 over the denominator

161/13 would be the answer

for 1-2 use the following inequality:
3x-4< 8
which of the following represents the solution set?
a. x ≥ 4
b. x > 4
c.x ≤ 4
d. x < 4

Answers

Answer:

D

Step-by-step explanation:

3x - 4 < 8

Add 4:

3x - 4 + 4 < 8 + 4

3x < 12

Divide by 3:

3x / 3 < 12 / 3

x < 4

Answer:

D. x<4

Step-by-step explanation:

3x-4<8

3x<8+4

3x<12

x<4

Hope this helps ;) ❤❤❤

PLS HELP The diagram was constructed with straightedge and compass tools. Points A, B, C,
D. and E are all on line segment CD. Name a line segment that is half the length of
CD. Explain how you know.

Answers

Answer:

lines CD, AE, and BD are half the length of CD

Step-by-step explanation:

All circles will have the same radius "r"

then CD = 4r

½CD = 2r

CB = AE = BD = 2r

The line CD has two circles which are equidistant from the points C and D and both meet at point B.

Point B is the midpoint of Line CD dividing line CD into two equal halves.

The line segments AE , CB and BD are line segments that are half of the length of line CD.

CB and BD form the diameters of the circles.

A diameter is a line that divides the circle into 2 equal halves. It passes through the center of the circle and joins one end point to another.

A radius is the distance from the circumference to the center of the circle.

A diameter is made up of two radius.

In the figure two equal diameters divide the line segment into two equal parts.

The third circle has the diameter AE which has radius AB and AE which are also the radius of the other two circles.

Hence the three circle are equal .

Hence the line segments AE , CB and BD are line segments that are half of the length of line CD.

https://brainly.com/question/15379859

https://brainly.com/question/15441177

A water wheel has a radius of 4 feet and the bottom of the wheel is 1 foot from the ground. One plank is painted white and it starts at the top of the wheel. The wheel is rolled forward through an angle of pi over 3 radians. How high from the ground is the white plank after this motion?

Answers

Answer:

The height of the plank after the π/3 rotation motion is 8.464 ft

Step-by-step explanation:

The radius of the wheel = 4 ft

The elevation of the bottom of the wheel from the bottom = 1 foot

The angle to which the wheel is rolled = π/3 radians

The height of a rotating wheel is given by the following relation

f(t) = A·sin(B·t + C) + D

Where;

D = Mid line =  4 + 1 = 5 feet

B·t = π/3

C = 0

A = The amplitude = 4

Which gives;

f(t) = 4×sin(π/3) + 5 = 8.464 ft

The height of the plank after the π/3 rotation motion = 8.464 ft.

Answer:7 ft

Step-by-step explanation:

C

Which list shows numbers ordered from least to greatest?

A. 1.01,2119,1.01¯¯¯¯
B. 2119,1.01,1.01¯¯¯¯
C. 1.01,1.01¯¯¯¯,2119
D. 1.01¯¯¯¯,1.01,2119

Answers

Answer:

C. 1.01,1.01¯¯¯¯,2119

Step-by-step explanation:

1.01,1.01¯¯¯¯,2119

Is arranged from the least number to the greatest number.

It shows the numbers with decimals, and it showed the number with Dec again.

Then gave a space in between then the highest number in the least follows

So option c is the answer

(6,-1) and y = – 1/3x+ 1
y = 3x + [?]

Answers

Answer:

- 19

Step-by-step explanation:

Let's consider the equation as ;

y = 3x + c

( 6, -1 ) satisfies the equation ;

-1 = 3( 6) + c

c = - 18 - 1

c = -19

So the slope - intercept is (- 19)

Given the following group of numbers (8, 12, 4, 8, 6, 0, 9, 11, 3, 10) which of the following is (are) true? The mean is 7.1 The median is 1.6 The mode is 0

Answers

Answer:

The mean is 7.1

The median IS NOT 1.6 (its 8)

The mode IS NOT 0 (its 8)

Step-by-step explanation:

The true statement is , The mean is 7.1.

What is mean, median, mode?

The mean (average) of a data set is found by adding all numbers in the data set and then dividing by the number of values in the set.

The median is the middle value when a data set is ordered from least to greatest.

The mode is the number that occurs most often in a data set.

here, we have,

given data, group of numbers (8, 12, 4, 8, 6, 0, 9, 11, 3, 10)

now, we get,

The mean is 7.1.

The median IS NOT 1.6 (its 8)

The mode IS NOT 0 (its 8).

hence, The true statement is , The mean is 7.1.

To learn more on mean, median, mode click:

https://brainly.com/question/13829039

#SPJ2

9 - 8x - 7 - 2x equals 4 solve for x​

Answers

Answer:

x = -1/2

Step-by-step explanation:

Step 1: Write out equation

9 - 8x - 8 - 2x = 4

Step 2: Combine like terms (x)

9 - 10x - 8 = 4

Step 3: Combine like terms (constants)

-10x - 1 = 4

Step 4: Add 1 to both sides

-10x = 5

Step 5: Divide both sides by -10

x = -5/10

Step 6: Simplify

x = -1/2

A car used 1/64 of a gallon of gas to drive 1/4 of a mile. At this rate, how many miles can the car travel using 1 gallon of gas?

Answers

Answer:

16 mi

Step-by-step explanation:

To find how many miles you could travel with one gallon, you want to multiply both sides of the equation by 64. This will make '1/64' to 1, so the answer should be 1/4 * 64 = 16.

What is the value of X in the given triangle?

Answers

Answer: x = 65.4

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

Work Shown:

cos(angle) = adjacent/hypotenuse

cos(x) = 5/12

x = arccos(5/12)

x = 65.375681647836 which is approximate

x = 65.4 after rounding to one decimal place

Make sure your calculator is in degree mode. The arccosine function is the same as the inverse cosine function (shortened to [tex]\cos^{-1}[/tex] ).

Other Questions
Point M is on line segment \overline{LN} LN . Given LM=5LM=5 and LN=12,LN=12, determine the length \overline{MN}. MN . If Q is the midpoint of PR, find the coordinates of R if P(l 1, -2) and Q(4, 3). Now you want to write an Interoffice Memorandum in order to ensure the strict adherence to the prescribed SOPs. As a CEO, write the Interoffice Memo having all the necessary parts. The miles-per-gallon rating of passenger cars is a normally distributed random variable with a mean of 33.8 mpg and a standard deviation of 3.5 mpg. a) What is the probability that a randomly selected passenger car gets more than 37.3 mpg Juana es ________________________________ de Mauricio.Lucia es ________________________________ de Timoteo.Sergio es _______________________________ de Daniel,Mauricio es _____________________________ de Cecilia.Rosa es ________________________________ de Juana.Cecilia es _______________________________ de Sergio.Timoteo es ______________________________ de Daniel.Beatriz es _______________________________ de Timoteo Although his younger students greeted the new practice with enthusiasm, the old guard had staked their reputations on the belief in miasmas. What type of connection does the author make between the ideas in this sentence? Am confused in this y=(2x+1) 3xDifferentiate y Kelly likes to fish at the lake near her house. She caught 8 fish last week, measured them, and put them back in the lake. Thelengths of the fish, in inches, are shown.9, 12, 10, 8, 11, 12, 13,6Assuming this data is representative of the fish in the lake, what is the mean length of the fish in the lake?OA. 1.875 inchesOB10.5 inches.3.5 inchesOD10.125 inches why do muscles pull but not push What is a change of a substance from one form to another without changing its composition called? (1 point) A. Atomic Change B. Chemical Change C. Molecular Change D. Physical Change Solve 3(2x+16)=11x+8 preform the indicated multiplication below. reduce the terms and simplify (2+i)(3-i)(1+2i)(1-i)(3+i) Under normal circumstances, bronchoconstriction is caused by ________________ and bronchodilation is caused by ________________. The following are types of numbers except one. Select the one which is not an integer.A. FloatB. IntC. LongD. Boolean plz answer this rnnn plzz will mark a brainliest. it is two pictures. According to the Fujita Tornado Intensity Scale, a category F5 tornado,has what range of wind speeds?a. 113157 miles per hourb. 261-318 miles per hourc. 207-260 miles per hourd. 40-72 miles per hour Which statements about the life of Raphael are true? Choose all answers that are correct. He was a painter, architect, and archaeologist. His first art teacher was a medieval artist. He painted a room of the Vatican for Pope Julius II and painted cartoons as designs for tapestries for the Sistine Chapel for Pope Leo X. He apprenticed with Perugino and was inspired by the art of Leonardo da Vinci and Michelangelo. A weightlifter can lift 495 lbs. How many kg is that? Please provide a step-by-step procedure. SumiCal's go cart has a gas tank with the dimensions shown below.He uses a gas can that holds 1 liter of gas, to fill the go cart tank.1 liter = 1000 cmand dcmand dems25 cm40 cmHow many full gas cans will it take to fill the go cart's gas tank? A researcher studying the habits of business school students found that, on average, students on academic probation due to low grade point averages tend to cheat more often than do other students. The researcher concluded that students who cheat are likely to receive poor grades, even if they are not caught cheating. Which of the following, if true, most seriously weakens the researcher's conclusion?a. Students who are placed on academic probation due to low grade point averages often resort to cheating as a way to improve their grades.b. Some students with high grade point averages frequently cheat in order to obtain good grades.c. Not all students who cheat get caught.d. Some students on academic probation do not cheat.e. Students who cheat in school are also likely to engage in other dishonest behavior.