10. Which of the following situations represents a proportional relationship?....
F. A pizza is $7.95 plus $1.00 for each additional topping.
G. A pool fills at a rate of 90 gallons per hour.
H. A health club charges a $40.00 membership fee plus $25.00 per month.
J. A bank account begins with $350.00 and gains $30.00 per month.

Answer: possible dividend is 736, 737, 738, 739

Step-by-step explanation: The remainder cannot be divided by 5 so it can be 1, 2, 3 and 4 added to (147 ×5)

Answer:

[tex]log_{12}(\frac{1}{4})[/tex]

Step-by-step explanation:

We start with our equation that the change of base formula was applied to:

[tex]\frac{log\frac{1}{4} }{log12}[/tex]

The change of base formula describes taking the base (b) of the logarithm and setting it as the denominator while taking the remaining number (a) and setting that as the numerator.

If we reverse the formula, we end up with the supplied answer.  

[tex]log_{12}(\frac{1}{4})[/tex]

Answer:

Other guy is correct

Step-by-step explanation:

First, expand the terms inside the bracket you will get

[tex](( \tan {}^{2} (x) + 2 \tan(x) \sin(x) + \sin {}^{2} (x) - ( \tan {}^{2} (x) - 2 \tan(x) + \sin {}^{2} (x) ) {}^{2} = 16( \tan(x) + \sin(x) )( \tan(x) - \sin(x) )[/tex]

[tex]( 4 \tan(x) \sin(x) ) {}^{2} = 16( \tan(x) + \sin(x) )( \tan(x) - \sin(x) )[/tex]

[tex]16 \tan {}^{2} (x) \sin {}^{2} (x) = 16( \tan(x) + \sin(x) )( \tan(x) - \sin(x) )[/tex]

[tex]16 \tan {}^{2} (x) (1 - \cos {}^{2} (x) ) = 16 (\tan(x) + \sin(x) )( \tan(x) - \sin(x) )[/tex]

[tex]16( \tan {}^{2} (x) - \frac{ \sin {}^{2} (x) \cos {}^{2} ( {x}^{} ) }{ \cos {}^{2} (x) } [/tex]

[tex]16( \tan {}^{2} (x) - \sin {}^{2} (x) ) = 16( \tan(x) + \sin(x) )( \tan(x) - \sin(x) )[/tex]

[tex]16( \tan(x) + \sin(x) )( \tan(x) - \sin(x) = 16( \tan(x) + \sin(x) )( \tan(x) - \sin(x) )[/tex]

Answer:

28.3 ft²

Step-by-step explanation:

Area = πr²

A = π × 3²

A = 28.2743339 = 28.3 ft²

Answer:

part: 17 players = 1/4

whole: 68 players in all

percent: 17 players = 25%

Step-by-step explanation:

We'll use p as a variable for the total players, alright?

So, 25% of p usually gets called back.

This season, 17 is 25% of p OR you might say 17 = 1/4 of p

in other words, p/4 = 17

multiply each side by 4 (to get the variable alone)

p = 17 * 4

p = 68

______________

part/whole = percent/100

SUBSTITUTE!

17/68 = 25%

check!

(simplify) 1/4 = 25% true!

The answer to #11 is: x = 15

The answer to #12 is: x = 5

Answer: Given that MP \\NS , RS\\PQ and MR =NQ

MRN is a straight line with sum of angles equal to 180⁰ MQN is also a straight line triangle equal to 180⁰

Angle at R + 3 = Angle at Q +2 = 180⁰

Angle R is alternate to Q and angle 2 is alternate to 3 and both sets are equal

Therefore angle 1 is equal to 4 and this makes their third angles in the triangle equal.

Triangle MQP then becomes a perfect replica of NRS

Step-by-step explanation:

Answer:

-7 and -5

Step-by-step explanation:

Because Im smart not gonna lie.

Answer:

Is it not just EF?

Step-by-step explanation:

I mean BC is the bottom of the triangle so the corresponding part is just the other triangles bottom which is EF if it was just angle B it'd be just angle E but it's not it's both B and C so it's E and F

Answer: 5/26

Step-by-step explanation:Hope this is helpful

Answer:

3x10 to the power of -2

Step-by-step explanation:

0.03=3x0.01

0.01=10 to the power of -2

The amount of fabric needed = 2(surface area of the cone-shaped wooden frame) = 88 ft².

Surface area of a cone = πr² + πrl

Given the following dimensions of the cone-shaped wooden frame:

Amount of fabric needed = 2(surface area of the cone-shaped wooden frame) = 2(πr² + πrl)

= 2(3.14 × 2² + 3.14 × 2 × 5)

= 87.92

Amount of fabric needed ≈ 88 ft²

Learn more about surface area of a cone on:

https://brainly.com/question/10506554

Answer:

88

Step-by-step explanation:

Beta minus decay has to do with the loss of an electron.  The superscript on the daughter nucleus is 131 while the subscript  is 54;

The term beta minus decay has to do with the loss of an electron. The daughter nucleus so formed is always going to have an atomic number that is greater than that of the parent by 1 unit.

The complete nuclear reaction here is; [tex]\frac{131}{53} I ------- > \frac{131}{54} Xe + \frac{0}{-1} e[/tex] . The  daughter nucleus here is Xe while the parent nucleus is I.

Learn more about beta decay: https://brainly.com/question/25455333

Answer:

The superscript of xenon is 131

The subscript of the electron is -1

Step-by-step explanation:

ANSWER: Solve for volume

V≈79.26m³

The data of players of volleyball tournament, the mean is 56.5, median is 53, range is 56 and interquartile range is 20

The mean of the data is the average value of the given data. The mean of the data is the ratio of the sum of all the values of data to the total number of values of data.

The median of the data is the middle value of the data set when it arrange in ascending or descending order.

Mode of a data set is the value, which occurs most times for that data set. The value which has the highest frequency in the given set of data is known as the mode of that data set.

The stem-and-leaf plot shows the number of digs for the top 15 players at a volleyball tournament. The table is attached below.

The data according to the table is,

41,41,43,43,45,50,52,53,54,62,63,63,67,75,97

[tex]\mu=\dfrac{41+41+43+43+45+50+52+53+54+62+63+63+67+75+97}{15}\\\mu=\dfrac{849}{15}\\\mu=56.5[/tex]

The arranged data according to the table is,

41,41,43,43,45,50,52,53,54,62,63,63,67,75,97

Here, the middle value is 53. Thus, the median is 53.

Mode is the data which occur most offen. Here the order of modes from least to greatest is,

41   41   43   43   45   50   52   53   54   62   63   63   67   75   97  

Lowest value in data is 41 and highest is 97. Thus, the range is,

[tex]r=97-41\\r=56[/tex]

The third quartile of data is 63 while first quartile is 43. Thus, the interquartile range is.

[tex]IQR=63-23\\IQR=20[/tex]

Thus, the data of players of volleyball tournament, the mean is 56.5, median is 53, range is 56 and interquartile range is 20.

Learn more about the mean, median and mode here;

https://brainly.com/question/14532771

#SPJ1

Answer:

2.75

Step-by-step explanation:

0.3,1.5,1.5,1.5,2.6,2.9,3.8,3.8,4.2,9.1

(smaller to greater)

middle of this is 2.6 and 2.9

so, 2.6+2.9=5.5

now we divide it by 2

so, 5.5/2=2.75

Answer: yellow is 5/15 = 1/3

Blue chip is 4/14 = 2/7

1/3 × 2/7 = 2/ 21

Answer0.095 = 0.10

Step-by-step explanation:

Answer:

B, C, E

Step-by-step explanation:

Exponent Rules

[tex]a^b \cdot a^c=a^{b+c}[/tex]

[tex]\dfrac{a^b}{a^c}=a^{b-c}[/tex]

[tex]a^n \cdot b^n=(ab)^n[/tex]

[tex]a^0=1[/tex]

[tex]\dfrac{1}{a^b}=a^{-b}[/tex]

[tex](a^b)^c=a^{bc}[/tex]

[tex]\textsf{A}\quad42^{-3} \cdot 42^8=42^{-3+8}=42^5[/tex]

[tex]\textsf{B}\quad \dfrac{42^{-7}}{42^{-2}}=42^{-7-(-2)}=42^{-5}[/tex]

[tex]\textsf{C}\quad \dfrac{6^{-5}}{7^5}=6^{-5} \cdot 7^{-5}=(6 \cdot 7)^{-5}=42^{-5}[/tex]

[tex]\textsf{D}\quad 42^0 \cdot 42^5=1 \cdot 42^5=42^5[/tex]

[tex]\textsf{E}\quad \left(\dfrac{1}{42^{-5}}\right)^{-1}=(42^5)^{-1}=42^{-5}[/tex]

[tex]\textsf{F}\quad \left(\dfrac{6^{-5}}{7^5}\right)^{-1}=\left(6^{-5} \cdot 7^{-5}\right)^{-1}=\left(\left(6 \cdot 7\right)^{-5}\right)^{-1}=42^{-5(-1)}=42^5[/tex]

Check one by one

#A

[tex]\\ \rm\Rrightarrow 42^{-3}42^8=42^{-3+8}=42^5[/tex]

#B

[tex]\\ \rm\Rrightarrow \dfrac{42^{-7}}{42^{-2}}=42^{-7+2}=42^{-5}\checkmark[/tex]

#C

[tex]\\ \rm\Rrightarrow \dfrac{6^{-5}}{7^5}=6^{-5}7^{-5}=42^{-5}\checkmark[/tex]

#d

[tex]\\ \rm\Rrightarrow 42^0.42^5=42^{0+5}=42^5[/tex]

#e

[tex]\\ \rm\Rrightarrow \left(\dfrac{1}{42^{-5}}\right)^{-1}=42^{-5}\checkmark[/tex]

#f

[tex]\\ \rm\Rrightarrow \left(\dfrac{6^{-5}}{7^5}\right)^{-1}[/tex]

[tex]\\ \rm\Rrightarrow (42^{-5})^{-1}[/tex]

[tex]\\ \rm\Rrightarrow 42^5[/tex]

Answer:

A

C

B

Step-by-step explanation:

A) All the corners of the square touch the edge of the circle
B) Only 1 side of the square touches the circle so it forms a chord.

C) The circle is inside the square so the sides of the square form tangents (Perpendicular lines to the radius).

Answer:

7.265

Step-by-step explanation:

Answer:

7.364

Step-by-step explanation:

Thats my answer.Brainliest

Answer: C. 51%

Step-by-step explanation:

Answer:

the train won't always go the same distance each minute and for the second one its 4 minutes

D 2c + 4c + c

Collect Coefficients of like terms

[tex](2+4+1)\times c[/tex]

__________________________________________________

Calculate the sum or difference

[tex]7c[/tex]

__________________________________________________

Determine true/false

[tex]Determine\ whether\ 7c\ and\ 2c+4c+c\ are equivalent:[/tex]

[tex]True[/tex]

I hope this helps you

:)

Answer:

r=10%

I=1149.60

P=2874

t=(I×100)/(p×r)

(1149.60×100)/(2874×10)

114960÷28740

4 years

[tex]r = 10\%[/tex]

[tex]p = 2874[/tex]

[tex]l = 1149.60[/tex]

the numbers of year's needed for the investment.

[tex]t = \frac{l \times 100}{p \times r} [/tex]

[tex]t = \frac{1149.60 \times 100}{2874 \times 10} [/tex]

[tex]t = \frac{114960}{28740} [/tex]

[tex]t = 4[/tex]

therefore, 4 years is needed for the investment.

Answer:

Just for fun, the probability of rolling a die 60 times and getting no ones is

(600)(5/6)60=0.0018% .

Step-by-step explanation:

This 10 ones is the value with the highest probability of occurring. It has a probability of  (6010)(1/6)10∗(5/6)50≈13.7% .

Answer:

1 :

20×8=$160

160+55=$215

2:

25×8=$200

the first teenager earns more money after every shift

hope this helps you :D