2x + 5x+3 combine like terms

Answer:

1. 75 feet per hour

2. [tex]\frac{15}{7}[/tex] pounds per year

Step-by-step explanation:

The rate of change can be represented as the slope of the equation.

The slope of any relationship is rise over run.

In number 1, we can see that the climber gained 300 feet in 4 hours. This means that the rate of change will be [tex]300\div4=75[/tex] feet per hour.

In number 2, we can see that the teacher gained 45 pounds in a timeframe of 21 years. This means that the slope is [tex]\frac{45}{21}[/tex], which can be simplified down to [tex]\frac{15}{7}[/tex]l

Hope this helped!

Answer:

H₀ should be rejected, yogurt cups are under-filling, the manager has to check the process

Step-by-step explanation:

Normal distribution and n < 30. We must use t-student test.

a) If it is required to test   H₀    μ >= 6     Hₐ   μ < 6  is a one tail test (left-tail)

At  α = 5 %     α = 0,05    and   n = 16  then degree of freedom is n -1

df = 15  find   t(c) = - 1,753

μ = 5,85     and  s  = 0,2      ( sample mean and standard deviation respectevily)

T compute   t(s)

t(s)  =  ( μ  -  μ₀ ) / s/√n

t(s)  =  ( 5,85 - 6 ) /0,2/√16

t(s)  =  - 0,15*4/0,2

t(s)  =  - 3

t(s) < t(c)       -3 < - 1,753

Then t(s) is in the rejection region we reject H₀. There is enough evidence to claim the yogurt cups are under-filling.

Manager has to check on the process

Answer:

4k=16

k=4

Step-by-step explanation:

please give 5 star i need it

Answer:

George Washington

Step-by-step explanation:

[tex] &#128075 [/tex] Hello! ☺️

R- George Washington

[tex]<marquee direction="left" scrollamount="2" height="100" width="150">Mynea04</marquee>[/tex]

Answer:

a. 95%

Step-by-step explanation:

We solve this question, using z score formula.

Z score formula = (x - μ)/σ/√n

where x is the raw score

μ is the population mean

σ is the population standard deviation.

n is number of samples

For z1, where x1 = 460, μ = 500, σ = 20, n = 140

z score formula = (460 - 500)/ 20

= -40/20

= -2

We find the probability of the z score using the z score table.

P(x = 460) = P(z = -2)

= 0.02275

For z2, where x2 = 540, μ = 500, σ = 20

z score formula = (540 - 500)/20

= 40/20

= 2

We find the probability of the z score using the z score table.

P(x = 540) = P(z = 2)

= 0.97725

The probability that the cargo containers will weigh between 460 pounds and 540 pounds is calculated as:

= 460 < x < 540

= P(z = 2) - P(z = -2)

= 0.97725 - 0.02275

= 0.9545

Converting to percentage

0.9545 × 100

= 95.45%

Therefore,the percentage of the cargo containers will weigh between 460 pounds and 540 pounds is 95%

Answer:

speed of Logan is 37.5 m/minutes

speed of Milo is 33.33 meters per minutes

Speed of Logan is greater than speed of Milo

difference in speed = 37.5 - 33.33 = 4.17 meters per minutes

Step-by-step explanation:

we will calculate speed in meters per minutes

we know 1 hour = 60 minutes and

1 minutes = 60 seconds

speed = distance/time

____________________________________

For Logan

distance = 750 meters

time = 1/3 of hour = 1/3 *60 minutes = 20 minutes

speed = 750/20 = 37.5 meters per minute

__________________________________________________

For milo

distance = 2/3 of Logan's distance = 2/3 * 750 meters = 500 meters

time = 1/4 of hour = 1/4 *60 minutes =15 minutes

speed = 500/15 = 33.33  meters per minute

Thus, speed of Logan is 37.5 m/minutes

speed of Milo is 33.33 meters per minutes

Speed of Logan is greater than speed of Milo

difference in speed = 37.5 - 33.33 = 4.17 meters per minutes

Answer:

16 miles long to work it would be 0 miles shorter

Step-by-step explanation:

8+8 is 16

if the road was just one street it would still be the same distance

I hope this helps. THIS MIGHT BE WRONG though if someone say something else, take a good look at their answer too because the way I did it, seems like it's a little too simple.

Answer:   The distance will be about 11 miles . 2) The man's one way-trip will be 5 miles shorter.

Step-by-step explanation:

If the man  drove east by 8 miles and  North by 8 miles and we want to determine the distance that is directly  from east to north then we will use the Pythagorean Theorem  solve for that distance.

Now since we are solving for the distance directly from his home to work we will be looking for the hypotenuse in this case.

a^2 + b^2 =c^2  where c is the hypotenuse

8^2 + 8^2 =c^2

64 +64 = c^2  

c= [tex]\sqrt{128}[/tex]  

c =  11.31

  In this case the distance from his home directly to his work will be about 11 miles.

2.   To find out how much shorter the man will travel ,add the east and north distance and subtract 11.31 from it.

8 + 8 = 16

16  - 11.31 = 4.69

Answer:

6 hours?

Step-by-step explanation:

12:00    0 hour(s)

1:00       1 hour(s)

2:00      2 hour(s)

3:00      3 hour(s)

4:00      4 hour(s)

5:00      5 hour(s)

6:00      6 hour(s)

Answer:

0.01

Steps:

The definition of "reciprocal" is simple. To find the reciprocal of any number, just calculate "1 ÷ (that number)." For a fraction, the reciprocal is just a different fraction, with the numbers "flipped" upside down (inverted). For instance, the reciprocal of 3/4 is 4/3

Answer:

It  is 100

Step-by-step explanation: A reciprocal is is obtained by inverting a fraction.

100 is the same as 100/1

So the reciprocal of 100 is 1/100

Answer:

See Below.  

Step-by-step explanation:

We are given the two functions:

[tex]\displaystyle g(x) = 3x - 6 \text{ and } h(x) = 5x[/tex]

Part A)

Recall that:

[tex](g\cdot h)(x)=g(x)\cdot h(x)[/tex]

Substitute and simplify:

[tex]\displaystyle \begin{aligned} (g\cdot h)(x) & = (3x-6)\cdot(5x) \\ \\ &=5x(3x)-5x(6) \\ \\&=15x^2-30x \end{aligned}[/tex]

Part B)

Recall that:

[tex](g+h)(x)=g(x)+h(x)[/tex]

Substitute and simplify:

[tex]\displaystyle \begin{aligned} g(x) + h(x) & = (3x-6) + (5x) \\ \\ & = 8x- 6 \end{aligned}[/tex]

Part C)

Recall that:

[tex]\displaystyle (g-h)(x) = g(x) - h(x)[/tex]

Hence:

[tex]\displaystyle \begin{aligned} (g-h)(-1) & = g(-1) - h(-1) \\ \\ & = (3(-1)-6) - (5(-1)) \\ \\ & = (-9) + (5) \\ \\ & = -4\end{aligned}[/tex]

Answer:

Option (C)

Step-by-step explanation:

Graph of a function f(x) when shifted by 'a' unit to the right, the new equation of the function becomes as,

g(x) = f(x - a)

Then a point (p, q) on the function 'f' will become (p + a, q)

Following the same rule,

When of a function w(x) is shifted 19 units to the right, a point (r, s) on the graph will move to w[(r + 19), s].

Therefore, Option (C) will be the correct option.

Answer:

C) A point (r, s) on the graph of w(x) moves to (r + 19, s).

Step-by-step explanation:

got it right on edge :)

Answer:

12 cells every hour.

Step-by-step explanation:

You would do 2 x 6

(the 2 is the cells per hour, and the 6 is the amount of hours)

Answer:bruh

Step-by-step explanation:u really need that easy ahh question?

Answer:

x = -13

Step-by-step explanation:

3(x + 7) = -18

Divide both sides by 3.

x + 7 = -6

Subtract 7 from both sides.

x = -13

Answer:

B.) 2x2 + 8x – 24 = 0

Step-by-step explanation:

For x= 2 and x= -6

Let's determine the equation of the solutions.

(X-2)(x+6)=0

X²+6x -2x -12= 0

X² +4x -12= 0

So the above is the real equation to the solution of x= 2 and x= -6

But in the options, we don't have something like that.

But let's try and multiply the solution will a positive or negative integer.

Lets start with +2

2(X² +4x -12= 0)

2x² + 8x -24 = 0

Yeah, option B is the answer

Answer:

There is sufficient evidence to support the claim that the mean temperature is different from 42 deg

Step-by-step explanation:

From the given information, we are being told that:

The manufacturer of a refrigerator system for beer kegs produces refrigerators that are supposed to maintain a true mean temperature, μ, of 42°F

i. e  mean  μ = 42

The owner of the brewery does not agree with the refrigerator manufacturer, and claims he can prove that the true mean temperature is incorrect.

Assuming that a hypothesis test of the claim has been conducted and that the conclusion is to reject the null hypothesis, state the conclusion in nontechnical terms.

From above;

The null and the alternative hypothesis can be computed as:

[tex]\mathbf{H_o : \mu = 42} \\ \\ \mathbf {H_1 : \mu \neq 42}[/tex]

Here , the hypothesis test of the claim is the alternative hypothesis.

The conclusion based on the decision rule:  is to reject the null hypothesis

∴

The conclusion in non technical terms is that :

There is sufficient evidence to support the claim that the mean temperature is different from 42 deg

Answer:

Smaller integer = -6

Larger integer = -5

Step-by-step explanation:

Let the two consecutive integers = [tex]x[/tex] and ([tex]x+1[/tex])

As per the given statement,

Larger i.e. ([tex]x+1[/tex]) is 7 greater than twice ([tex]2\times x[/tex]) the smaller integer.

To find:

The value of integers = ?

Solution:

First of all, let us learn about integers.

The integers are of the form (put in increasing order):

[tex]-\infty, ...., -3, -2,-1, 0, 1, 2, 3, ...., \infty[/tex]

and -1 > -2

So the consecutive integers are 1 greater than the smaller.

Therefore, the two integers can be [tex]x, x+1[/tex]

Now, writing the given condition in the form of an equation:

[tex]x+1=2x+7\\\Rightarrow 1-7=2x-x\\\Rightarrow -6=x\\\Rightarrow \bold{x=-6}[/tex]

So, the smaller integer = -6

Larger integer = -6+1 = -5

Answer:

You have to put in the whole word problem

Step-by-step explanation:

Answer: 0.49

Step-by-step explanation:

given data:

no of computer services firms =200

no of firms under $1million = 102

no of firms between $1million to $20million = 61

no of firms $20million and above = 37

solution:

probability that a firm selected has 1$million or above.

P ( x ≥ $1million )

= 61/200 + 37/200

= 49/100

= 0.49

the probability of selecting with $1million or more in income taxes is 0.49%

Answer:

the answer is 69

Step-by-step explanation:

you find the square root of 4761

Answer:

its 69

Step-by-step explanation:

Answer:

58.6 miles / hour

Step-by-step explanation:

The formula is

d= rt  where d is the distance, r is the rate ( speed) and t is the time

205 miles = r * 3.5 hours

Divide each side by 3.5

205 miles/ 3.5 hours = r

58.57142857 miles / hour = r

To the nearest tenth

58.6 miles / hour

Answer:

58.6

Step-by-step explanation:

So the truck traveled 205 miles in 3.5 hours.

As given, the distance is the product of the rate and the time. In other words:

[tex]d\text{ mi}=r\cdot t\text{ hours}[/tex]

Substitute 205 for d and 3.5 for t. Thus:

[tex]205\text{ mi} =r\cdot (3.5)\text{hours}[/tex]

Divide both sides by 3.5 hours. Thus:

[tex]r=\frac{205\text{ mi}}{3.5\text{ hours}}[/tex]

Divide 205 and 3.5:

[tex]r\approx58.6\text{ mi/hr}[/tex]

Answer:

2 Values

Step-by-step explanation:

For a five-year moving average, two values will be lost at the beginning and end of the time series.

This is because we add the first five elements and divide it by 5 to get the five year moving average. But the middle value of 5 is 2.5 which is greater than 2 so the result is placed against the third value. In this way the first two and last 2 values are lost.

For understanding let us compute the 5 year moving average as

a1= 1/5( y1+ y2+y3+ y4+y5)

a2= 1/5 ( y2+y3+ y4+y5+ y6)

a3 = 1/5(y3+ y4+y5+ y6+ y7)

a4= 1/5(y4+y5+ y6+ y7+ y8)

a5= 1/5(y5+ y6+ y7+y8+y9)

The average so obtained are placed opposite the middle year of each group.

So the values at the y1,y2 ,at the beginnign and at the end y8 and y9 are lost.

Answer:

[tex]x = - 1 + \sqrt{17}\\and\\x = - 1 - \sqrt{17}\\[/tex]

Step-by-step explanation:

given equation

[tex]x^2 +2x +1 = 17[/tex]

subtracting 17 from both sides

[tex]x^2 +2x +1 = 17\\x^2 +2x +1 -17= 17-17\\x^2 +2x - 16 = 0\\[/tex]

the solution for quadratic equation

[tex]ax^2 + bx + c = 0[/tex] is given by

x = [tex]x = -b + \sqrt{b^2 - 4ac} /2a \\\\and \ \\-b - \sqrt{b^2 - 4ac} /2a[/tex]

________________________________

in our problem

a = 1

b = 2

c = -16

[tex]x =( -2 + \sqrt{2^2 - 4*1*-16}) /2*1 \\x =( -2 + \sqrt{4 + 64}) /2\\x =( -2 + \sqrt{68} )/2\\x = ( -2 + \sqrt{4*17} )/2\\x = ( -2 + 2\sqrt{17} )/2\\x = - 1 + \sqrt{17}\\and\\\\x = - 1 - \sqrt{17}\\[/tex]

thus value of x is

[tex]x = - 1 + \sqrt{17}\\and\\x = - 1 - \sqrt{17}\\[/tex]

x = negative 1 plus-or-minus StartRoot 17 EndRoot

Answer:

function

Step-by-step explanation:

A function is a rule that pairs each element in one set with exactly one element from a second set.​

A function is a rule that pairs each element in one set with exactly one element from a second set.​

A function is a relation from a set A to a set B where the elements in set A only maps to one and only one image in set B. No elements in set A has more than one image in set B.

Function is a relation.

Let a set A = {1, 2, 3, ........} and set B = {1, 4, 9, .....}

Let f(x) = x² be the function.

f(1) = 1 , so 1 is mapped to 1

f(2) = 4, so 2 is mapped to 4.

...............

It goes on like this.

No element would map to more than one element.

1 will only map to 1, not to 4, 9, .......

Similarly, 2 will map to 4 only, not any other element.

But more than one element in set A can be mapped to same element in set B.

Suppose A = {......, -2, -1, 0, 1, 2, .......} and B = {1, 4, 9, .....}

We have f(1) = f(-1) = 1

Also, f(2) = f(-2) = 4

But this is a function.

Hence the rule is that pairs each element in one set with exactly one element from a second set.​

Learn more about Functions here :

https://brainly.com/question/12431044

#SPJ1

Answer: -19/4

Step-by-step explanation:

Answer:

-4.75

Step-by-step explanation:

-3+16/4

= -19/4

= -4.75

Answer:

369

Step-by-step explanation:

Hello. If we write this number as square root of (41)^2 x 9^2, 41 and 9 will exit in the root. So, 41 x 9 = 369.

Answer:

Prove that (A-B) U (B-A) =(A U B) - (A intersection B). 2. See answers ... izvoru47 and 170 more users found this answer helpful

Answer:

Explained below.

Step-by-step explanation:

Let the random variable X be defined as the number of Americans who travel by car look for gas stations and food outlets that are close to or visible from the highway.

The probability of the random variable X is: p = 0.40.

A random sample of n =25 Americans who travel by car are selected.

The events are independent of each other, since not everybody look for gas stations and food outlets that are close to or visible from the highway.

The random variable X follows a Binomial distribution with parameters n = 25 and p = 0.40.

(a)

The mean and variance of X are:

[tex]\mu=np=25\times 0.40=10\\\\\sigma^{2}=np(1-p)-25\times0.40\times(1-0.40)=6[/tex]

Thus, the mean and variance of X are 10 and 6 respectively.

(b)

Compute the values of the interval μ ± 2σ as follows:

[tex]\mu\pm 2\sigma=(\mu-2\sigma, \mu+ 2\sigma)[/tex]

           [tex]=(10-2\cdot\sqrt{6},\ 10+2\cdot\sqrt{6})\\\\=(5.101, 14.899)\\\\\approx (5, 15)[/tex]

Compute the probability of P (5 ≤ X ≤ 15) as follows:

[tex]P(5\leq X\leq 15)=\sum\limits^{15}_{x=5}{{25\choose x}(0.40)^{x}(1-0.40)^{25-x}}[/tex]

                        [tex]=0.0199+0.0442+0.0799+0.1199+0.1511+0.1612\\+0.1465+0.1140+0.0759+0.0434+0.0212\\\\=0.9772[/tex]

Thus, 97.72% values of the binomial random variable x fall into this interval.

(c)

Compute the value of P (6 ≤ X ≤ 14) as follows:

[tex]P(6\leq X\leq 14)=\sum\limits^{14}_{x=6}{{25\choose x}(0.40)^{x}(1-0.40)^{25-x}}[/tex]

                        [tex]=0.0442+0.0799+0.1199+0.1511+0.1612\\+0.1465+0.1140+0.0759+0.0434\\\\=0.9361\\\\\approx P(5\leq X\leq 15)[/tex]

The value of P (6 ≤ X ≤ 14) is 0.9361.

According to the Tchebysheff's theorem, for any distribution 75% of the data falls within μ ± 2σ values.

The proportion 0.9361 is very large compared to the other distributions.

Whereas for a mound-shaped distributions, 95% of the data falls within μ ± 2σ values. The proportion 0.9361 is slightly less when compared to the mound-shaped distribution.

Probabilities are used to determine the chance of an event.

The given parameters are:

[tex]\mathbf{n = 25}[/tex]

[tex]\mathbf{p = 40\%}[/tex]

(a) Mean and variance

The mean is calculated as follows:

[tex]\mathbf{Mean = np}[/tex]

[tex]\mathbf{Mean = 25 \times 40\%}[/tex]

[tex]\mathbf{Mean = 10}[/tex]

The variance is calculated as follows:

[tex]\mathbf{Variance = np(1 - p)}[/tex]

So, we have:

[tex]\mathbf{Variance = 25 \times 40\%(1 - 40\%)}[/tex]

[tex]\mathbf{Variance = 6}[/tex]

(b) The interval  [tex]\mathbf{\mu \pm 2\sigma}[/tex]

First, we calculate the standard deviation

[tex]\mathbf{\sigma = \sqrt{Variance}}[/tex]

[tex]\mathbf{\sigma = \sqrt{6}}[/tex]

[tex]\mathbf{\sigma = 2.45}[/tex]

So, we have:

[tex]\mathbf{\mu \pm 2\sigma = 10 \pm 2 \times 2.45}[/tex]

[tex]\mathbf{\mu \pm 2\sigma = 10 \pm 4.90}[/tex]

Split

[tex]\mathbf{\mu \pm 2\sigma = 10 + 4.90\ or\ 10 - 4.90}[/tex]

[tex]\mathbf{\mu \pm 2\sigma = 14.90\ or\ 5.10}[/tex]

Approximate

[tex]\mathbf{\mu \pm 2\sigma = 15\ or\ 5}[/tex]

So, we have:

[tex]\mathbf{\mu \pm 2\sigma = (5,15)}[/tex]

The binomial probability is then calculated as:

[tex]\mathbf{P = ^nC_x p^x \times (1 - p)^{n - x}}[/tex]

This gives

[tex]\mathbf{P = ^{25}C_5 \times (0.4)^5 \times (1 - 0.6)^{25 - 5} + ...... +^{25}C_{15} \times (0.4)^{15} \times (1 - 0.6)^{25 - 15}}[/tex]

[tex]\mathbf{P = 0.0199 + ..... + 0.0434 + 0.0212}[/tex]

[tex]\mathbf{P = 0.9772}[/tex]

Express as percentage

[tex]\mathbf{P = 97.72\%}[/tex]

This means that; 97.72% values of the binomial random variable x fall into the interval [tex]\mathbf{\mu \pm 2\sigma}[/tex]

[tex]\mathbf{(c)\ P(6 \le x \le 14)}[/tex]

The binomial probability is then calculated as:

[tex]\mathbf{P = ^nC_x p^x \times (1 - p)^{n - x}}[/tex]

So, we have:

[tex]\mathbf{P = ^{25}C_6 \times (0.4)^6 \times (1 - 0.4)^{25 - 6} + ...... +^{25}C_{14} \times (0.4)^{14} \times (1 - 0.4)^{25 - 14}}[/tex]

[tex]\mathbf{P = 0.0422 +.............+0.0759 + 0.0434}[/tex]

[tex]\mathbf{P = 0.9361}[/tex]

This means that:

93.61% values of the binomial random variable x fall into the interval 6 to 14

By comparison, 93.61% is very large compared to the other distributions., and the proportion 93.61 is slightly less when compared to the mound-shaped distribution.

Read more about binomial probability at:

https://brainly.com/question/19578146

Answer:

6

Step-by-step explanation:

The cat's bridge of its nose lines up directly on the line of symmetry, so let's say it's (0,0). If the cat's right eye is 3 inches away from its nose, then that point is (3, 0). The cat's left eye is also 3 inches away from the bridge of its nose, so that point is (-3, 0). How do you go from -3 to 3? You must add 6!

Answer:

D

Step-by-step explanation:

first of all we need to solve the inequalities

[tex]3-x\geq 2\\\\3-x+x\geq 2+x\\\\3\geq2+x \\\\3-2\geq 2-2+x\\\\1\geq x\\\\x\leq 1[/tex] (-∞,1] or ]-∞,1]

the second inequality is

[tex]4x+2\geq 10\\\\4x+2-2\geq 10-2\\\\4x\geq 8\\\\\frac{4x}{4}\geq \frac{8}{4} \\\\x\geq 2[/tex] [2,∞) or [2,∞[

so the answer is D

Answer: D

Step-by-step explanation:

To graph the inequalities on the number line, let's first solve them.

3-x≥2                                [subtract both sides by 3]

-x≥-1                                [divide both sides by -1, remember to flip inequalities]

x≤1

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

4x+2≥10                           [subtract both sides by 2]

4x≥8                                 [divide both sides by 4]

x≥2

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

Now, we have our inequalities, x≤1 and x≥2. Notice that both inequalities are greater/less than or equal to. The "or equal to" part means that x is equal to 1 and 2. Therefore, when graphed, it is a closed circle. This let's us automatically eliminate B and C because they have open circles.

For x≤1, we know that x is going to be 1 and below, meaning it starts at 1 and travels left where it gets smaller and smaller. This tells us that the answer is D, but let's check to be sure.

For x≥2, we know that x is going to be greater than 2. This let's us know that the arrow will be pointing to the right, where the numbers are getting bigger and bigger. Knowing this, we can confirm that D is the correct answer.

Answer:

1 MILE

Step-by-step explanation: