(8x + 6) - (x + 4).

Answer:

1/5, 20%, 0.2

1/4, 25%, 0.25

1/2, 50%, 0.5

2/3, 66.6%, 0.6

Answer:

D.

Step-by-step explanation:

Answer:

You move right 3, and down 7

9514 1404 393

Answer:

  C  f(x) = {4e^x -5, ..., -x +7, ...

Step-by-step explanation:

The easiest portion to check is the constant section in the interval [0, 6]. All of the function definitions agree on that, so that doesn't help choose the right answer.

__

Next easiest is the linear section at the right. It has a negative slope. Extension of the line to the y-axis shows it has a positive y-intercept. This eliminates choices A and D.

__

The horizontal asymptote of the exponential portion at the left is -5. Both of the remaining choices B and C agree on that. The exponential is increasing at an increasing rate, so its coefficient is positive. This eliminates choice B.

The appropriate description of the function on the graph is offered by choice C.

_____

The graph below plots the function. We note that the given graph seems to show the exponential curve incorrectly.

Answer:

12 slides

Step-by-step explanation:

Okay so we know that Val:

takes 1/6 hours to do each slide

has 2hrs

To figure this question out we have to divide fractions.

To divide a fraction you multiply the dividend by the reciprocal of the divisor.

My simple dictionary:

Dividend - The First number in a fractional problem

Divisor - The second number in a fractional problem

Reciprocal - a fraction flipped upside down so that the numerator is now the denominator. For example 3/2 = 2/3

Now that that is done let's look at the problem.

We have to divide 2 by 1/6 or multiply 2/1 by 6/1

To multiply a fraction we just multiply numerator by numerator and denominator by denominator.

2 x 6 = 12

1 x 1 = 1 (duh)

So, in conclusion, Val can create 12 slides in 2 hours :D

that was some really explicit stuff .-.

Answer:

~

Step-by-step explanation:

To make it easier to graph using a translation, we can rewrite the given equation as:

y - 5 = √√4x + 16

This is obtained by subtracting 5 from both sides of the equation.

The graph of the original equation y = √√4x+16 +5 can be obtained by taking the graph of y = √√4x + 16 and shifting it upwards by 5 units. The graph of y = √√4x + 16 is a square root function that has a vertical stretch of 2, a horizontal compression of 4, and a vertical translation of 16 units upwards. So the graph of the given equation y = √√4x+16 +5 will be the same as the graph of y = √√4x + 16, but shifted upwards by 5 units.

The probability that the mean amount of cereal in 5 randomly selected boxes is at most 9.65 ounces is 0.4808.

The Central limit theorem is used to find the probability

Data given:

sample size = 5.

mean, μ = 9.70 ounces

standard deviation, σ = 0.03 ounce.

To calculate the probability, we determine the z-score corresponding to the sample mean of 9.65 ounces using the z-score formula.

x is the sample mean,

μ is the population mean,

σ is the population standard deviation, and

n is the sample size.

For the sample mean of 9.65 ounces in 5 boxes:

z = (9.65 - 9.70) / (0.03 / √5)

z ≈ -0.05 / (0.03 / √5)

Using a calculator, we find that the probability is approximately 0.4801.

Therefore, the probability that the mean amount of cereal in 5 randomly selected boxes is less than 9.65 ounces is approximately 0.4801.

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Answer:

Step-by-step explanation:

Add up the 3 equations and solve for s:

The missing side and angle of the similar polygons are as follows:

Similar polygons are two polygons with the same shape, but not the same size.

Similar polygons have corresponding angles that are congruent, and corresponding sides that are proportional.

Therefore, polygon ABCD is similar to polygon FGHI. This means the corresponding angles are congruent and the corresponding sides are proportional.

Therefore,

∠C is corresponding angle to ∠H. This means they are both congruent.

Hence,

∠H = 90 degrees

Let's find FI,

10 / 6  = 9 / FI

cross multiply

FI = 54 / 10

FI = 5.4

Let's find IH

10 / 6 = 8 / IH

cross multiply

IH = 48 / 10

IH  = 4.8

Let's find BC

10 / 6 = BC / 4.6

cross multiply

BC = 46 / 6

BC = 7.66666666667

BC = 7.7

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The following statements which must be true is \(\lim_{x \to \1} _1\) f ( x ) = ∞.

Given :

the values f ( x ) of a function f can be made arbitrarily large by taking x sufficiently close to 1 but not equal to 1.

Function :

In simple words, a function is a relationship between inputs where each input is related to exactly one output.

Every function has a domain and a co - domain.

x sufficiently close to 1 means x → 1

but x ≠ 1.

so function = \(\lim_{x \to \1} _1\) f ( x ) = ∞

Therefore the following statements which must be true is \(\lim_{x \to \1} _1\) f ( x ) = ∞.

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The mean of the distribution in this problem is given as follows:

19.5625 pounds.

The mean of a data-set is given by the sum of all observations in the data-set divided by the cardinality of the data-set, which represents the number of observations in the data-set.

The dot plot shows the absolute frequency of each observation in the context of the problem.

Considering the dot plot, the sum of the observations in this problem is given as follows:

2 x 12 + 4 x 15 + 1 x 16 + 1 x 18 + 2 x 20 + 1 x 22 + 3 x 25 + 2 x 29 = 313.

The number of observations is given as follows:

2 + 4 + 1 + 1 + 2 + 1 + 3 + 2 = 16.

Hence the mean is given as follows:

313/16 = 19.5625 pounds.

The problem is given by the image presented at the end of the answer.

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Answer:

2.83333333333

Step-by-step explanation:

(3 2/5) / (1 1/5) = 2.83333333333

Answer:

85/30 or 2.833333333

Step-by-step explanation:

When dividing fractions, you must find the reciprocal of the second number and multiply it as usual.

It is also much easier to solve after you convert these numbers to improper fractions.

In this case,

3 2/5 = 17/5

1 1/5 = 6/5

17/5 ÷ 6/5

17/5 x 5/6

85/30 (17/6 reduced)

or

2.83333333333333333333

Using the table feature of a graphing utility  the intensity of an earthquake with an amplitude of 200,000 micrometers for 0.5 seconds would be 2.16 x 10¹⁴ joules/second/meter².

First, note that the   intensity of an earthquake with an amplitude of 200,000 micrometers for 0.5 seconds can be calculated using the formula..

I = (1/2)ρv²

Here I   Intensity

ρ = density of the medium - this is a constatnt

v = velocity of the S-waves

If we used a graphing tool

a coumun ffor v will be created

a column for the formula for velocity will also be created.

The formula for velocity is

V = A/ T

A = amplitude

T = time or period in seconds


Since A = 200,000 micrometers; and

T = 0.05 secons

v = 200,000 / 0.5

v = 400,000 micrometer/sec

Back o the table, we ahve to add another oclumn for V²

then enter the values for V²

V² = 400,000²
v² = 160,000,000,000 micrometer²/sec²


Nowe we add another column which is

I = 1/2(pv²)

I = 2.16 x 10¹⁴ joules/second/meter².


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Answer:

Step-by-zbastep explanation:

Answer:

Fraction of cars 4/15

Total number of vehicles 15

4 is the numerator and 15 is the denominator

Step-by-step explanation:

Answer: Nope, im currently doing well right now. Thank you though.

Step-by-step explanation:

Answer:

\(f(x) = \frac{x + 1}{4}\)

Step-by-step explanation:

To inverse the function switch the places of x and y like this:

x = 4y - 1

Now, solve for y:

\(x + 1 = 4y\\\frac{x + 1}{4} = y\)

It's that easy!

I hope this helps!!

- Kay :)

Answer:

1/8 because pretend that you have 1/4 of a pie you divide that quarter by two you have 1/8.

Answer:

1/4 ÷ 2 = 1/8 in fraction form. 1/4 ÷ 2 = 0.125 in decimal form.

Step-by-step explanation:

Hope it helps :)

Answer:

The coordinates of point that divides the given line in ratio 1:2 are (-1,-6)

Step-by-step explanation:

Given that:

(x1,y1) = (-6,-10)

(x2,y2) = (9,2)

If a point (x,y) divides a line into ratio m:n, the coordinates can be found out by the formula

\((x,y) = (\frac{nx_1+mx_2}{m+n} , \frac{ny_1+my_2}{m+n})\)

As given ratio is: 1:2

so m= 1

n = 2

Putting the values in the formula we get

\(= (\frac{(2)(-6)+(1)(9)}{1+2} , \frac{(2)(-10)+(1)(2)}{1+2})\\=(\frac{-12+9}{3} , \frac{-20+2}{3})\\=(\frac{-3}{3} , \frac{-18}{3})\\=(-1,-6)\)

Hence,

The coordinates of point that divides the given line in ratio 1:2 are (-1,-6)

Answer:

angle g = 37 degrees

Step-by-step explanation:

angle g = 180-90-53 = 37 degrees

Answer:

Mean = 59.1, Median = 61

(there might have been a mistake in calculation (a lot of numbers!))

Step-by-step explanation:

The sample size is 40,

Now, the formula for the mean is,

Mean = (sum of the sample values)/(sample size)

so we get,

\(Mean = (49+63+78+22+41+39+75+61+63+65+58+37+45+52+81+75+78+72+68+59+72+85+63+61+75+39+41+48+59+55+61+25+61+52+58+71+75+82+49+51)/40\\Mean = 2364/40\\Mean = 59.1\)

To find the median, we have to sort the list in ascending (or descending)order,

we get the list,

22,25,37,39,39,41,41,45,48,49,

49,51,52, 52,55,58, 58, 59, 59, 61,

61, 61, 61, 63, 63, 63, 65, 68, 71, 72,

72, 75, 75, 75, 75, 78, 78, 81, 82, 85

Now, we have to find the median,

since there are 40 values, we divide by 2 to get, 40/2 = 20

now, to find the median, we takethe average of the values above and below this value,

\(Median = ((n/2+1)th \ value + (n/2)th \ value )/2\\where, \ the\ (n/2)th \ value \ is,\\n/2 = (total \ number \ of \ samples) /2\\n/2=40/2\\(n/2)th = 20\\Hence\ the (n/2)th \ value \ is \ the \ 20th \ value\)

And the (n+1)th value is the 21st value

Now,

The ((n/2)+1)th value is 61 and the nth value is 61, so the median is,

Median = (61+61)/2

Median = 61

Option (D) She can use the commutative property to rewrite the expression as (70 + 30 + 12.8) + 6.1 is correct.

It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has a basic four operators that is +, -, ×, and ÷.

It is given that:

Patti is using mental math to evaluate the expression (70 + 12.8 + 30) + 6.1.

The number expression is:

= (70 + 12.8 + 30) + 6.1

As we know from the commutative property

a +  b = b + a

Applying commutative property in the number expression:

= (70 + 30+ 12.8) + 6.1

She can use the commutative property to rewrite the expression as (70 + 30 + 12.8) + 6.1.

Thus, option (D) She can use the commutative property to rewrite the expression as (70 + 30 + 12.8) + 6.1 is correct.

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The equation that represents the total price of Michigan State University per semester is determined by the number of classes taken (c) and the total cost for the semester, which includes a one-time fee for room and board (t).

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Answer:

B

Step-by-step explanation: i took the test on docs/forms

A. P(6, then 1) = 1/90

B. P(even, then 5) = 1/18

C. P(8, then odd) = 1/18

D. P(3, then prime) = 2/45

E. P(prime, composite) = 4/15

F. P(even, then 3, then 5) = 1/144

Given:

Total number of cards: 10

A. P(6, then 1):

P(6, then 1) = 1/10 x 1/9

= 1/90

B. P(even, then 5):

Number of favorable outcomes: 5 x 1 = 5

P(even, then 5) = 5/10 x 1/9

= 1/18

C. P(8, then odd):

Number of favorable outcomes: 1 x 5 = 5

P(8, then odd) = 1/10 x 5/9

= 1/18

D. P(3, then prime):

Number of favorable outcomes: 1 x 4 = 4

P(3, then prime) = 1/10 x 4/9

= 2/45

E. P(prime, composite):

Number of favorable outcomes: 4 x 6 = 24

P(prime, composite) = 4/10 x 6/9

= 4/15

F. P(even, then 3, then 5):

Number of favorable outcomes: 5 x 1 x 1 = 5

P(even, then 3, then 5) = 5/10 x 1/9 x 1/8

= 1/144

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\(\dispalystyle a_1=11 ~\\\\~ d=a_2-a_1=19-11=8 \\\\ a_{10}=a_1+(10-1)d=11+9d=11+72=\boxed{83} \\\\\\ \huge\boxed{\mathfrak{Answer}:a_{10}=83}\)

The graph of the feasible region is attached

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

\(\left\{ \begin{array}{lr} y + 7x \ge 10 \\ 8y + 2x \ge 20 \\ y + x \ge 4 \\ y + x\le 10 \\ x \ge 0 \\ y \ge 0\end{array}\)

To plot the graph of the feasible region, we plot each inequality in the domain x ≥ 0 and y ≥ 0

Using the above as a guide, the graph is attached

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The number of questions that were answered per minute 20 questions

the question reads: Jamie answered 16 questions in 4/5 minutes. How many questions were answered per minute?

You should number that a minute is made up of 60 seconds

This implies that 4/5 of a minute is given as 4/5 * 60

This is equal to 48 seconds

So every 48 seconds, Jamie answers 16 questions

This implies that (16*60)/48 = 20

Therefore in one minute Jamie would answer 20 questions

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Answer: y=mx+b

There are no choices, so I am not sure if it is in point-slope form or slope-intercept form....but that is the formula for slope intercept.

y=3x+6 would be the answer if this is being written in slope intercept form.

Step-by-step explanation: