Jameson started the week in Michigan where the temperature was -11 °F, and then flew to Colorado where the temperature was 8 °F. Create an inequality that correctly compares the temperatures.

Answer:

4^2+2^2, 5^2, 6^2-6

Step-by-step explanation:

4 to the power of 2 is 16 and 2 to the power of 2 is 4. 16+4 is 20.

5 to the power of 2 is 25 which is greater than 20.

6 to the power of 2 is 36 minus 6 is 30 which is greater than 25 and 20.

Answer:

The four consecutive odd integers = 15, 17, 19, 21

Step-by-step explanation:

Four consecutive odd integers in Mathematics when x is an integer is given as:

x , x + 2 , x + 4, x + 6

Where:.

First integer = x

Second integer = x + 2

Third integer = x + 4

Fourth integer = x + 6

The sum of the first and fourth is 55 greater than the opposite of the third

Hence :

x + x + 6 = -(x + 4) + 55

x + x+6 = (-x - 4) + 55

2x + 6 = -x + 51

Collect like terms

2x + x = 51 - 6

3x = 45

x = 15

Therefore,

First integer = x = 15

Second integer = x + 2 = 15 + 2 = 17

Third integer = x + 4 = 15 + 4 = 19

Fourth integer = x + 6 = 15 + 6 = 21

The four consecutive odd integers = 15, 17, 19, 21

The given function is

\(\sf y=3ln(x)\)

Which is a logarithm function. An important characteristic of logarithms is that their domain cannot be negative, because the logarithm of a negative number is undefined, the same happens for x = 0.

Therefore, the domain of this function is all real numbers more than zero.

The image attached shows the graph of this function, there you can notice its domain restriction.

So, the right answer is the first choice: x greater than 0

(3, -1) is a solution to the inequality shown in this graph.

Any point inside or boundary of feasible region is called a solution of inequality.

The point (3, -1) lies on boundary of feasible region.

Hence, (3, -1) is a solution to an inequality shown in this graph.

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Answer:

Step-by-step explanation:

soo you start with  2 /9    as the possibility of a red marble

but you pick a red one so now there is only 1/8 chance left of a red one

soooo

2/9*1/8 = 3 / 72nds  or 1/24 th    :/  long odds....  bet a lot, if you get two reds you'll win a million :D  

Answer:

trapezoid

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

The range is the right side, which is, "-8,-3,5,7" So, D

Answer:

C. 6.8, because |6.8|= 6.8

Step-by-step explanation:

The magnitude of a directed number is a property that turns the number to a positive of its value. Thus, the magnitude of a negative number equals its positive value. Examples:

Find the magnitude of the following numbers:

i. -20

ii. 10

iii. -5

iv. 2

The magnitudes of the numbers can be expressed as:

i. |-20| = 20

ii. |10| = 10

iii. |-5| = 5

iv. |2| = 2

Therefore, the magnitude of 6.8 = 6.8, because |6.8|= 6.8.

Answer:

4.8-46c+13x

Step-by-step explanation:

The monthly payment on the loan, given the financing term, is $394.50.

The monthly payment on the lease, given depreciation and rate is $398.23.

The option most affordable to the student is therefore the loan option.

To determine the monthly payment on a loan for the bike, we can use the following formula for monthly payments on a loan:

P = (PV × r × (1 + r)^n) / ((1 + r)^n - 1)

P = (13,000 × 0.004917 × (1 + 0.004917)^36) / ((1 + 0.004917)^36 - 1)

P = $394.50

To determine the monthly payment on a lease for 24 months, we first need to find the total depreciation amount:

Total depreciation = $13,000 × 15% per year × 2 years = $13,000 × 0.15 × 2 = $3,900

Use the same formula for monthly payments on a loan as before:

r = monthly interest rate = APR / 12 = 4.1% / 12 = 0.041 / 12 = 0.003417

n = number of monthly payments = 24

P = (9,100 × 0.003417 × (1 + 0.003417)^24) / ((1 + 0.003417)^24 - 1)

P = $398.23

The loan option is more affordable for the student with a monthly payment of approximately $394.50 compared to the lease option at $398.23 per month.

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a) The probability that they're not all right-handed is approximately 0.684.

b) The probability that they're not all left-handed is approximately 0.002.

c) The probability that there are no more than 5 righties is approximately 0.034.

d) The probability that there are exactly 4 of each handedness is approximately 0.167.

e) The probability that the majority is right-handed is approximately 0.678.

a) To calculate the probability that they're not all right-handed, we need to find the complement of the event that all of them are right-handed. Assuming each person is right-handed with a probability of 0.85, the probability of a person being non-right-handed is 1 - 0.85 = 0.15. Since the handedness of each person is independent, the probability that they're not all right-handed is (0.15)^10, which is approximately 0.684.

b) Similarly, the probability that they're not all left-handed can be calculated as (0.15)^10, which is approximately 0.002. This assumes that the probability of being left-handed is also 0.15.

c) To find the probability that there are no more than 5 righties, we need to sum the probabilities of having 0, 1, 2, 3, 4, or 5 right-handed individuals. We can calculate each probability using the binomial distribution. Assuming the probability of a person being right-handed is 0.85, the probability of having exactly k right-handed individuals out of 10 is given by (10 choose k) * (0.85)^k * (0.15)^(10-k). By summing these probabilities for k from 0 to 5, we find that the probability is approximately 0.034.

d) The probability of having exactly 4 of each handedness can also be calculated using the binomial distribution. We calculate the probability of having exactly 4 righties and 4 non-righties, which is given by (10 choose 4) * (0.85)^4 * (0.15)^6. Since there are two possibilities for each group (righties and non-righties), we multiply this probability by 2 to account for the two groups. The probability of having exactly 4 of each handedness is approximately 0.167.

e) Finally, to calculate the probability that the majority is right-handed, we need to find the probability of having 6, 7, 8, 9, or 10 right-handed individuals. Similar to part c, we sum the probabilities of these outcomes using the binomial distribution. By summing the probabilities for k from 6 to 10, we find that the probability is approximately 0.678.

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Answer:

14 Dimes and 56 Quarters

Step-by-step explanation:

Let D and Q stand for the numbers of Dimes(D) and Quarters(Q).  Also, I'll use pennies (not dollars) to eliminate the hassle of decimal points.

We are told that:

10D + 25Q = 1540  [Kendra has $15.40 in dimes and quarters]

We also find that:

Q = 4D     [4 times as many quarters as dimes]

Substitute the expression for Q in the second equation into the first:

10D + 25Q = 1540

10D + 25(4D) = 1540

10D + 100D = 1540

110D = 1540

D = 14

Since Q = 4D:

Q = 4(14)

Q = 56

==========

Check:

Does 10D + 25Q = 1540  ?

10(14) + 25(56) = 1540

140 + 1400 = 1540  YES

Does Q = 4D   ?

56 = 4(14)  YES

The constant of proportionality will be 3.

The complete question ks given below:-

Explain how to find the constant of proportionality for the ratio of robins to cardinals. A 2-column table with 4 rows. Column1 is labelled Cardinals with entries 5, 6, 9, and 10. Column 2 is labelled Robins with entries 15, 18, 27, and 30.

In mathematics, ratios are used to determine the relationship between two numbers it indicates how many times is one number to another number.

Given data will be arranged as follows:-

robins              15, 18, 27,  30.

cardinals         5, 6, 9, 10.

The constant of proportionality will be calculated by taking a ratio of the data:-

\(\dfrac{Cardinals}{Robins} =\dfrac{15}{5}=\dfrac{18}{6}=\dfrac{27}{9}=\dfrac{30}{10}=3\)

Therefore the constant of proportionality will be 3.

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Answer: It is and answer that is not known yet

Step-by-step explanation: so 5x5=x x would be 25

Answer:

i think its 45/2

decimal form= 22.5

Answer:

B: \(x>\frac{3}{2}\)

Step-by-step explanation:

\(12\left(\frac{1}{2}x-\frac{1}{3}\right)>8-2x\)

Expand:

\(6x-4>8-2x\)

Add 4 to both sides:

\(6x-4+4>8-2x+4\)

\(6x>-2x+12\)

Add 2x to both sides:

\(6x+2x>-2x+12+2x\)

\(8x>12\)

Divide both sides by 8:

\(\frac{8x}{8}>\frac{12}{8}\)

Hence, \(x>\frac{3}{2}\) (Option B)

Answer:

B. x>  3 /2

Step-by-step explanation:

(a) To find the critical numbers and discontinuities of f(x) = x² / (x² - 81), we first find its derivative f'(x) and check where the denominator equals zero.

f'(x) = [(2x)(x² - 81) - (2x)(x²)] / (x² - 81)², f'(x) = (2x)(-81) / (x² - 81)², Critical numbers are the values of x for which f'(x) = 0. In this case, there are no critical numbers, as the numerator is never equal to zero. Discontinuities occur when the denominator is equal to zero: x² - 81 = 0
x² = 81
x = ±√81
x = ±9
Thus, the discontinuities are x = -9 and x = 9. (b) To find the open intervals on which the function is increasing or decreasing, we analyze the sign of the derivative f'(x). f'(x) is positive when -81(2x) < 0, which occurs in the interval (-∞, -9) ∪ (9, ∞). f'(x) is negative when -81(2x) > 0, which occurs in the interval (-9, 9).

So, the function is increasing on (-∞, -9) ∪ (9, ∞) and decreasing on (-9, 9).
(c) Since there are no critical numbers, there are no relative extrema (maximum or minimum) for this function. So, the answer is DNE for both relative maximum and relative minimum.

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The statement  | - 2x + 8 | < 12 is x < 2 and x > - 2.

We know the absolute value function of the modulus function always outputs a positive value irrespective of the sign of the input.

In piecewise terms  | x | = x for x ≥ 0 and | x | = - x for x < 0.

Given, | - 2x + 8 | < 12.

∴ - ( -2x + 8) < 12 and (- 2x + 8 ) > 12.

2x - 8 < 12 and - 2x + 8 > 12.

2x < 4 and - 2x > 4.

x < 2 and - x > 2 ⇒ x > - 2.

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Work Shown:

E = exterior angle = 18 degrees

n = number of sides of a regular polygon

n = 360/E

n = 360/18

n = 20

This is a 20 sided regular polygon. It is considered a regular icosagon.

r=6cm and h=7cm

Volume of right circular cone =31πr2h

                                                 =31×722×(6)2×7

                                                 =31×22×36

                                                 =264cm3

dunno whether the formula is correct or not!

The recursive formula of the arithmetic sequence in this problem is given as follows:

An arithmetic sequence is a sequence of values in which the difference between consecutive terms is constant and is called common difference d.

The nth term of an arithmetic sequence is given by the explicit formula presented as follows:

\(a_n = a_1 + (n - 1)d\)

The parameters for the sequence in this problem are given as follows:

\(a_1 = -31, d = -7\)

Hence the recursive formula is given as follows:

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Answer:

Step-by-step explanation:

Step 1 ; Arrange in slope-intercept form;

y =mx+b

\(y =-5x +4\)

Step 2 ; Identify slope

In y = mx+b

m = slope (co-efficient of x)

b = y-intercept

\(Slope = -5\)

This equation is written in slope-intercept form but its out of order.

Slope intercept form: y = mx + b

Reorder

y = 4 - 5x

y = -5x + 4

As you can see -5 is the same place as m which means the slope.

Therefore, the slope is -5.

Best of Luck!

Answer:

180

Step-by-step explanation:

Since 3 faces have even numbers and 3 faces have odd numbers, the probability of landing on an odd number is 1/2.

1/2 × 360 = 180

Answer:

Y= -1.5x+3

Step-by-step explanation:

(Y-Y1)=m(x-x1)

0-3=m(2-0)

m= -1.5

Y= -1.5x+B

when y=3 and x=0 b=3

Answer:

(x+4)^2 =0

Step-by-step explanation:

x2 +8x+16=0

What 2 numbers multiply to 16 and add to 8

4*4 = 16

4+4 =8

(x+4) (x+4) =0

(x+4)^2 =0

Answer: 150 square inches

Step-by-step explanation:

Set up the proportional ratios (convert feet to inches first):

30 ft = 360 inches (there are 12 inches in 1 foot)

20 ft = 240 inches (I'm assuming there is an error in the question and the width is 20 ft, NOT 20 inches!)

360/15 = 240/x

x is the width of the scaled down rectangle

solve for x:

360x = 3600

x = 10 in

Now calculate Area = length x width

A = 15 x 10 = 150 square inches

Answer:

Step-by-step explanation:

The volume of a rectanguiar shape like this one is V = L * W * H, where the letters represent Length, Width and Height.  Here L is the longest dimension and is 28 - 2x; W is the width and is 22-2x; and finally, x is the height.  Thus, the volume of this box must be

V(x) = (28 - 2x)*(22 - 2x)*x

and we want to maximize V(x).  

One way of doing that is to graph V(x) and look for any local maximum of the graph.  We'd want to determine the value of x for which V(x) is a maximum.

Another way, for those who know some calculus, is to use the first and second derivatives to identify the value of  x at which V is at a maximum.

I have provided the function that you requested.  If you'd like for us to go all the way to a solution, please repost your question.

As per the unitary method, the length of his shadow changing is 30 feet.

The term unitary method is known as a process of finding the value of a single unit, and based on this value.

Here we have given that a 6-foot man is running away from the base of a streetlight that is feet high.

Then let us consider that the man be x feet away from the street light and his shadow length be y,

Here we have also consider that let the tip of the shadow be l feet away from the light is written as

=> l = x + y

Here we are given that,

=> dx/dt=2

Then as per the concept of similar triangles, we can write it as,

=> x/5 = 6x+6/31

=> 31x = 30x + 30

=> x = 30

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Answer:

6

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

3x + .8 = 18.8

subtract .8

3x = 18

divide by 3

x = 6