Which of the following is equivalent to the quotient below?
√135/√3
A. 5√3
B. √45/3
C. 3√5
D. 3√15

Answers

Answer 1

The answer is C. 3√5.

√135/√3√45√3² × 53√5

Related Questions

Two 6-sided dice, one red and one green, are rolled. What is the probability that the red die shows a 2 and the green die shows a 5

Answers

The probability that the red die shows a 2 and the green die shows a 5 is 1/36

How to determine the probability that the red die shows a 2 and the green die shows a 5?

The sample space of a die is

S = {1, 2, 3, 4, 5, 6}

This means that

Red die = {1, 2, 3, 4, 5, 6}

Green die = {1, 2, 3, 4, 5, 6}

On the dice, we have

P(Red = 2) = 1/6

P(Green = 5) = 1/6

The probability that the red die shows a 2 and the green die shows a 5 is

P = P(Red = 2) * P(Green = 5)

Substitute the known values in the above equation

P = 1/6 *1/6

Evaluate the product

P = 1/36

Hence, the probability that the red die shows a 2 and the green die shows a 5 is 1/36

Read more about probability at:

https://brainly.com/question/25870256

#SPJ1

What is the location of point g, which partitions the directed line segment from d to f into a 5:4 ratio? a number line goes from negative 5 to positive 10. point d is at negative 2 and point f is at positive 7. a line is drawn from point d to point f.

Answers

the location of the g point is 3.

What is Proportion?

Two ratios are set to be equal in an equation called a proportion. You might express the ratio as 1: 3 for instance, if there is 1 boy and 3 girls.

According to the given Information:

Point G Partition the directed line segment form d to f into a

5:4 ratio

so,

g - d = (5/9) x (f - d)

We have that d = -2 and f = 7, Therefore

g - d = (5/9) x (f - d)

g + 2 = (5/9) x (7 + 2)

g + 2 = 5

g = 3

Therefore the location of the g point is 3.

To know more about Proportion visit:

https://brainly.com/question/27733852

#SPJ4

Answer: OPTION D

Step-by-step explanation:

PLS HELP, WLL GIVE BRAINLEST, AND DONATE POINTS, PLEASE HELP ASAP!!!!!! ALSO GIVING 30 POINTS

Answers

The answer is J.

The probability of spinning B on Spinner 1 is equal to the ratio of number of B to the total number of letter spaces.

2/81/4

The probability of spinning 1 on Spinner 2 is equal to the ratio of number of 1 to the total number of number spaces.

2/61/3

The probability is equal to :

1/4 × 1/31/12

Answer:

J   [tex]\frac{1}{12}[/tex]

Step-by-step explanation:

• First, let's find the probability of landing a letter B in Spinner 1.

We have a total of eight possibilities, and two of them are the letter B.

∴ [tex]P(B) = \frac{2}{8}[/tex]

            = [tex]\bf \frac{1}{4}[/tex]

• Next, let's find the the probability of landing the number 1 on Spinner 2.

There are a total of six possibilities, and two of them are the number 1.

∴ [tex]P(1) = \frac{2}{6}[/tex]

           = [tex]\bf \frac{1}{3}[/tex]

• Now we have to calculate the probability of spinning a letter B and the number 1:

[tex]P(B \space\ and\space\ 1) = \frac{1}{4} \times \frac{1}{3}[/tex]

                   = [tex]\bf \frac{1}{12}[/tex]

Help please!!!!!!! (im bad at math)

Answers

Answer : 3.14 feet²
Explanation :
Area = 3.14r² = 3.14 × 1² = 3.14 feet²
Hope it helps !

The table lists the speeds of the fastest roller coasters in North America and Asia.

Roller Coaster Speeds in North America
(miles/hour) Roller Coaster Speeds in Asia
(miles/hour)
128
149.1
120
106.9
100
95
93
83
92
80.8
90
80.3
85
78.3
82
71.5
80
69.6
77
68.4
The difference of the means of the two data sets is .
The mean absolute deviation of the roller coaster speeds in North America is .
The mean absolute deviation of the roller coaster speeds in Asia is .

Answers

The difference of the means of the two data sets is = 4.57

The mean absolute deviation of the roller coaster speeds in North America is 13.3

The mean absolute deviation of the roller coaster speeds in Asia is 16.8

How to solve for the means

First we have to start with the data for North America

128, 120, 100, 93, 92, 80.8, 85, 82, 80, 77

To get the mean you have to sum up the values and divide through by the total number 10

937.8/10

Mean = 93.78

Mean Absolute Deviation  = (128 - 93.78) + ( 120 - 93.78) + ( 100 - 93.78) + ( 93 - 93.78) + ( 92 - 93.78) + ( 80.8 - 93.78) + ( 85 - 93.78) + ( 82 - 93.78) + ( 80 - 93.78) + ( 77 - 93.78) / 10

133.32/10 = 13.3

For Asia, we have the data as

149.1, 106.9, 95, 83, 90, 80.3, 78.3, 71.5, 69.6, 68.4

Mean for Asia = 892.1/10

= 89.21

Mean Absolute Deviation = (149.1 - 89.21) + ( 106.9 - 89.21) + ( 95 - 89.21) + ( 83 - 89.21) + ( 90 - 89.21) + ( 80.3 - 89.21) + ( 78.3 - 89.21) + ( 71.5 - 89.21) + ( 69.6 - 89.21) + ( 68.4 - 89.21) / 10

= 168.32/10

16.8

The difference in the means = 93.78 -89.21

=  4.57

Read more on means here

https://brainly.com/question/12172431

#SPJ1

Mrs. kelley asked her students to plot the number of books they read over the summer. a dot blot titled books read over the summer goes from 0 to 7. 0 has 1 dot, 1 has 3 dots, 2 has 6 dots, 3 has 2 dots, 4 has 3 dots, 5 has 1 dot, 6 has 2 dots, and 7 has 0 dots. using the dot plot, what was the total number of students that plotted the number of books they read? 3 6 17 18

Answers

The total number of students that plotted the number of books they read was 18, making the 4th option, a correct choice, using the dot plot.

Any data that may be shown as dots or tiny circles is called a dot plot. Given that the height of the bar created by the dots indicates the numerical value of each variable, it is comparable to a bar graph or a simple histogram. Small amounts of data are shown using dot plots.

In the question, we are informed that Mrs. Kelley asked her students to plot the number of books they read over the summer. a dot plot titled books read over the summer goes from 0 to 7. 0 has 1 dot, 1 has 3 dots, 2 has 6 dots, 3 has 2 dots, 4 has 3 dots, 5 has 1 dot, 6 has 2 dots, and 7 has 0 dots.

We are asked to find the total number of students that plotted the number of books they read using the dot plot.

The dot plot is attached to the solution.

The total number of students = The total number of dots = 1 + 3 + 6 + 2 + 3 + 1 + 2 + 0 = 18.

Thus, the total number of students that plotted the number of books they read was 18, making the 4th option, a correct choice, using the dot plot.

Learn more about dot plots at

https://brainly.com/question/24309209

#SPJ1

(ASAP PLEASE) Peter had some triangular tiles with sides 3 cm long. He placed them side by side to make a trapezium. If the perimeter of the trapezium was 27 cm, how many tiles did Peter use?

Answers

Answer:

She used 9 tiles which are 3 cm long

Step-by-step explanation:

cuz 3x9=27 and yea

What is the result of subtracting the second equation from the first?
- 2x + y = 0
-7x + 3y = 2

Answers

The result is [tex]5x-2y=-2[/tex].

Select the order in which the operations should be performed
12-4/4
Divide 12 by 4, then subtract 4 from that number.
Divide 4 by 4, then subtract that number from 12.
Subtract 4 from 12, then divide that number by 4.
Subtract 4 from 12, then multiply that number by 4.
None of the above

Answers

Answer: Divide the 4/4 then subtract that from 12.

Step-by-step explanation:

Use PEMDAS. The Division comes first, then the subtraction.

PLS HELP OR ILL FAIL MY CLASSES I RLLY NEED HELP PLEASE + 30 POINTS + BRAINLIST

PLS HELP
PLS
PLS
PLS
PLS
I NEED HELP
HELP

I’ll appreciate it so much please don’t skip and read this please

Answers

Answer:

See the attached picture.

Step-by-step explanation:

Evaluate, leave ur answer in index form. 2³ × 2^-1​

Answers

Multiply = add powers

3 + - 1 = 2

- - means +

+ + means +

- + means -

Thus, answer is 2^2

Hope this helps!

How do I write a comment on the data following the completion of the scatterplot

Answers

I believe it is asking you to state if there’s any correlation between science and math test scores based on the graph.

Hope this helps!

The following dot plot shows the number of players at each table in Bill's Bingo Hall. Each dot represents a different table.
A dot plot has a horizontal axis labeled, Number of players, marked from 0 to 8, in increments of 1. The number of dots above each value is as follows. 0, 2; 1, 2; 2, 2; 3, 5; 4, 2; 5, 1; 7, 1.
A dot plot has a horizontal axis labeled, Number of players, marked from 0 to 8, in increments of 1. The number of dots above each value is as follows. 0, 2; 1, 2; 2, 2; 3, 5; 4, 2; 5, 1; 7, 1.
What is the lowest number of players at a table?
players

Answers

The lowest number of people at a table is 0.

What is the lowest number of people at a table?

A dot plot is a graph that is used to represent the frequency of a data set. The dots in a dot plot represent the frequency of a number. The greater the height of a number, the higher its frequency. A dot plot is also known as a strip plot or a dot chart.

Looking at the dot plot, it can be seen that there are two dots above 2. This means that at two tables there was no one there.

To learn more about dot plots, please check: https://brainly.com/question/22746300

#SPJ1

Evaluate the integral, show all steps please!

Answers

Answer:

[tex]\displaystyle \int \dfrac{1}{(9-x^2)^{\frac{3}{2}}}\:\:\text{d}x=\dfrac{x}{9\sqrt{9-x^2}} +\text{C}[/tex]

Step-by-step explanation:

Fundamental Theorem of Calculus

[tex]\displaystyle \int \text{f}(x)\:\text{d}x=\text{F}(x)+\text{C} \iff \text{f}(x)=\dfrac{\text{d}}{\text{d}x}(\text{F}(x))[/tex]

If differentiating takes you from one function to another, then integrating the second function will take you back to the first with a constant of integration.

Given indefinite integral:

[tex]\displaystyle \int \dfrac{1}{(9-x^2)^{\frac{3}{2}}}\:\:\text{d}x[/tex]

Rewrite 9 as 3²  and rewrite the 3/2 exponent as square root to the power of 3:

[tex]\implies \displaystyle \int \dfrac{1}{\left(\sqrt{3^2-x^2}\right)^3}\:\:\text{d}x[/tex]

Integration by substitution

[tex]\boxed{\textsf{For }\sqrt{a^2-x^2} \textsf{ use the substitution }x=a \sin \theta}[/tex]

[tex]\textsf{Let }x=3 \sin \theta[/tex]

[tex]\begin{aligned}\implies \sqrt{3^2-x^2} & =\sqrt{3^2-(3 \sin \theta)^2}\\ & = \sqrt{9-9 \sin^2 \theta}\\ & = \sqrt{9(1-\sin^2 \theta)}\\ & = \sqrt{9 \cos^2 \theta}\\ & = 3 \cos \theta\end{aligned}[/tex]

Find the derivative of x and rewrite it so that dx is on its own:

[tex]\implies \dfrac{\text{d}x}{\text{d}\theta}=3 \cos \theta[/tex]

[tex]\implies \text{d}x=3 \cos \theta\:\:\text{d}\theta[/tex]

Substitute everything into the original integral:

[tex]\begin{aligned}\displaystyle \int \dfrac{1}{(9-x^2)^{\frac{3}{2}}}\:\:\text{d}x & = \int \dfrac{1}{\left(\sqrt{3^2-x^2}\right)^3}\:\:\text{d}x\\\\& = \int \dfrac{1}{\left(3 \cos \theta\right)^3}\:\:3 \cos \theta\:\:\text{d}\theta \\\\ & = \int \dfrac{1}{\left(3 \cos \theta\right)^2}\:\:\text{d}\theta \\\\ & = \int \dfrac{1}{9 \cos^2 \theta} \:\: \text{d}\theta\end{aligned}[/tex]

Take out the constant:

[tex]\implies \displaystyle \dfrac{1}{9} \int \dfrac{1}{\cos^2 \theta}\:\:\text{d}\theta[/tex]

[tex]\textsf{Use the trigonometric identity}: \quad\sec^2 \theta=\dfrac{1}{\cos^2 \theta}[/tex]

[tex]\implies \displaystyle \dfrac{1}{9} \int \sec^2 \theta\:\:\text{d}\theta[/tex]

[tex]\boxed{\begin{minipage}{5 cm}\underline{Integrating $\sec^2 kx$}\\\\$\displaystyle \int \sec^2 kx\:\text{d}x=\dfrac{1}{k} \tan kx\:\:(+\text{C})$\end{minipage}}[/tex]

[tex]\implies \displaystyle \dfrac{1}{9} \int \sec^2 \theta\:\:\text{d}\theta = \dfrac{1}{9} \tan \theta+\text{C}[/tex]

[tex]\textsf{Use the trigonometric identity}: \quad \tan \theta=\dfrac{\sin \theta}{\cos \theta}[/tex]

[tex]\implies \dfrac{\sin \theta}{9 \cos \theta} +\text{C}[/tex]

[tex]\textsf{Substitute back in } \sin \theta=\dfrac{x}{3}:[/tex]

[tex]\implies \dfrac{x}{9(3 \cos \theta)} +\text{C}[/tex]

[tex]\textsf{Substitute back in }3 \cos \theta=\sqrt{9-x^2}:[/tex]

[tex]\implies \dfrac{x}{9\sqrt{9-x^2}} +\text{C}[/tex]

Learn more about integration by substitution here:

https://brainly.com/question/28156101

https://brainly.com/question/28155016

Find the smallest number by which 35280 must be multiplied so that the product is a perfect square.

Answers

5 is the smallest number by which 35280 must be multiplied so that the product will be a perfect square.

What number must be an integer multiplied by to find a perfect square?

A number is a perfect square if the following property is satisfied:

a = b², where is a natural number.

Please notice that b can be either a prime number or a product of prime numbers.

Initially, we proceed to factorize 35280 by factorial decomposition, that is, as a product of prime numbers:

35280 = 2⁴ × 3² × 5 × 7²

35280 = (2²)² × 3² × 5 × 7²

35280 = 4² × 3² × 5 × 7²

Then, we must add a 5 to find a product that is a perfect square:

4² × 3² × 5² × 7² = 176400

5 is the smallest number by which 35280 must be multiplied so that the product will be a perfect square.

To learn more on prime numbers: https://brainly.com/question/9315685

#SPJ1

The number of pennies on square 64 is the total number of pennies on the first 63 squares.

Answers

Answer:The number of pennies on square 64 is greater than the pennies on 63 squares  since 64 is already greater 63 that when 63 gets bigger 64 will also get bigger so it will always be greater than 63

Step-by-step explanation:

Answer:

Step-by-step explanation:

greater than

If one of the 255 subjects is randomly selected, find the probability that the person is over 40 and prefers cola.

Answers

The probability that the person is over 40 and prefers cola exists at 1.3725.

What is probability?

The probability of an event exists in the ratio of the size of the event space to the size of the sample space.

The size of the sample space exists the entire number of possible outcomes.

The event space exists the number of outcomes in the event you exists interested in.

So, P = size of the event space/size of the sample space

To estimate the probability that the person exists over 40 years.

Size of the sample size = 255

Size of the event space = 85

P = 85/255

P = 1/3

To estimate the probability that they drink cola.

Size of the sample size = 255

Size of the event space = 95

P = 95/255

P = 19/51

To estimate the probability that the person exists over 40 years of age or that they drink cola

So, P = (1/3) + (19/51)

[tex]$P = (51*3+3*19)/153[/tex]

P = 1.3725

Therefore, the probability that the person is over 40 and prefers cola exists at 1.3725.

To learn more about probability refer to:

https://brainly.com/question/10615685

#SPJ4

Which of the following is the domain and range of the ellipse with equation 4x2 + 25y2 – 8x + 100y + 4 = 0?

Answers

The domain of the ellipse is [-4. 6] and the range of the ellipse is [-4. 0]

How to determine the domain and the range of the ellipse?

The equation of the ellipse is given as:

4x^2 + 25y^2 – 8x + 100y + 4 = 0

Next, we plot the graph of the ellipse

See attachment for the graph of the ellipse

The domain

From the attached graph the minimum and the maximum values of x are:

Minimum = -4

Maximum = 6

So, the domain of the ellipse is [-4. 6]

The range

From the attached graph the minimum and the maximum values of y are:

Minimum = -4

Maximum = 0

So, the range of the ellipse is [-4. 0]

Hence the domain of the ellipse is [-4. 6] and the range of the ellipse is [-4. 0]

Read more about domain and range at:

https://brainly.com/question/10197594

#SPJ1

Select the correct answer from each drop-down menu. Consider circle C with diameter DE. Diameter shows a circle centered at C. Points D and E lies on the circumference of the circle. Point E is labeled (13, 11) and point D is labeled (minus 3, 3). The equation of circle C is

Answers

The equation of circle C with diameter DE is (x - 5)² + (y - 7)² = 80

What is an equation?

An equation is an expression that shows the relationship between two or more variables and numbers.

The standard equation of a circle is:

(x - h)² + (y - k)² = r²

Where (h, k) is the circle center and r is the radius of the circle.

The diameter of the circle DE is at D(-3, 3) and E(13, 11). Hence the coordinate of point center is:

h = (13 + (-3))/2 = 5

k = (3 + 11)/2 = 7

(h, k) = (5, 7)

[tex]Diameter = \sqrt{(3-11)^2+(-3-13)^2} = 8\sqrt{5}[/tex]

Radius = diameter / 2 = 8√5 ÷ 2 = 4√5

The equation of the circle is:

(x - 5)² + (y - 7)² = (4√5)²

(x - 5)² + (y - 7)² = 80

The equation of circle C with diameter DE is (x - 5)² + (y - 7)² = 80

Find out more on equation at: https://brainly.com/question/2972832

#SPJ1

Calculate the value of the expression

1.) 18/3+2(12-5)
a) 33 1/3
b)10 2/3
c) 40
d)56
e)20

2.) 30+4(4+1)/2 -2(3+1)
a)77
b)46
c)92
d)21
e)17

Answers

Answer:

1. e

Step-by-step explanation:

18/3 +2(12-5)

=6+2(7)

=6+14

=20

===> Exercise 1

[tex]\large\displaystyle\text{$\begin{gathered}\sf \frac{18}{3}+2(12-5) \end{gathered}$}[/tex]

Divide 18 by 3 to get 6.

[tex]\large\displaystyle\text{$\begin{gathered}\sf 6+2(12-5) \ \to \ [Subtract] \end{gathered}$}[/tex][tex]\large\displaystyle\text{$\begin{gathered}\sf 6+2\times7 \ \to \ \ [Multiply] \end{gathered}$}[/tex][tex]\large\displaystyle\text{$\begin{gathered}\sf 6+14 \ \to \ \ [Add] \end{gathered}$}[/tex][tex]\boxed{\large\displaystyle\text{$\begin{gathered}\sf 20 \end{gathered}$} }[/tex]

Therefore, the correct option is "E".

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

===> Exercise 2

[tex]\large\displaystyle\text{$\begin{gathered}\sf 30+\frac{4(4+1)}{2}-(3+1) \ \to \ \ [Add \ 4 \ plus \ 1] \end{gathered}$}[/tex]

[tex]\large\displaystyle\text{$\begin{gathered}\sf 30+\frac{4\times5}{2}-(3+1) \ \to \ \ [Multiply \ 4 \ by \ 5] \end{gathered}$}[/tex][tex]\large\displaystyle\text{$\begin{gathered}\sf 30+\frac{20}{2}-(3+1) \ \to \ \ [Divide \ 20 \ by \ 2] \end{gathered}$}[/tex][tex]\large\displaystyle\text{$\begin{gathered}\sf 30+10-2(3+1) \ \to \ [Add \ 30 \ and \ 10] \end{gathered}$}[/tex][tex]\large\displaystyle\text{$\begin{gathered}\sf 4-2(3+1) \ \to \ [Add \ 3 \ and \ 1] \end{gathered}$}[/tex][tex]\large\displaystyle\text{$\begin{gathered}\sf 40-2\times4 \ \ \to \ \ [Multiply \ 2 \ and \ 4.] \end{gathered}$}[/tex][tex]\large\displaystyle\text{$\begin{gathered}\sf 40-8 \ \ \to \ [Subtract] \end{gathered}$}[/tex][tex]\boxed{\large\displaystyle\text{$\begin{gathered}\sf 32 \end{gathered}$} }[/tex]

It seems that none of the options is correct.

Lamonte has 50 m of fencing to build a three-sided fence around a rectangular plot of land that sits on a riverbank. (The fourth side of the enclosure would be the river.) The area of the land is 288 square meters. List each set of possible dimensions (length and width) of the field.

answer 1: meters
answer 2: meters

HELP PLS

Answers

The dimensions of the rectangular plot of land that sits on a riverbank is 32 m by 9 m or 18 m by 16 m.

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

An independent variable is a variable that does not depend on any other variable for its value while a dependent variable is a variable that depends on other variable.

Let x represent the length and y represent the width. Hence:

x + 2y = 50

x = 50 - 2y

Also:

xy = 288

(50 - 2y)y = 288

y = 9; and y = 16

x = 32; and x = 18

The dimensions of the rectangular plot of land that sits on a riverbank is 32 m by 9 m or 18 m by 16 m.

Find out more on equation at: https://brainly.com/question/2972832

#SPJ1

The odds in favor of a horse winning a race are 9:5. find the probability that the horse will win the race.

Answers

Answer:

9/14.

Step-by-step explanation:

The probability is given as a fraction or percentage.

9:5 odds in favour of a horse winning  means the horse will win 9 races for every 5 it does not win.

So the probability that this horse will win is 9/(9+5)

= 9/14.

Approximate the area under the
function between a and b using a
left-hand sum with the given
number of intervals.
f(x) = x³
a=0
b=3
3 Intervals

Answers

Split up the interval [0, 3] into 3 equally spaced subintervals of length [tex]\Delta x = \frac{3-0}3 = 1[/tex]. So we have the partition

[0, 1] U [1, 2] U [2, 3]

The left endpoint of the [tex]i[/tex]-th subinterval is

[tex]\ell_i = i - 1[/tex]

where [tex]i\in\{1,2,3\}[/tex].

Then the area is given by the definite integral and approximated by the left-hand Riemann sum

[tex]\displaystyle \int_0^3 f(x) \, dx \approx \sum_{i=1}^3 f(\ell_i) \Delta x \\\\ ~~~~~~~~~~ = \sum_{i=1}^3 (i-1)^3 \\\\ ~~~~~~~~~~ = \sum_{i=0}^2 i^3 \\\\ ~~~~~~~~~~ = 0^3 + 1^3 + 2^3 = \boxed{9}[/tex]

help pls with math lotsss of points!!!

Answers

Answer:

5x^2+22x-12         x cannot be -5, -4, -2

(x+5)(x+4)(x+2)

Step-by-step explanation:

In order to solve this, your denominator must be the same. Let's start by writing out the two different quadratic formulas:

x^2 + 6x + 8 <-- This should factor out to (x+4)(x+2)

x^2 + 7x + 10 <-- This should factor out to (x+5)(x+2)

Now that you have factored out the two quadratics, plug them into the equation.

    5x        -       3

(x+4)(x+2)      (x+5)(x+2)

Now as we know, -2 cannot be x because it will turn the entire equation undefined. Multiple top and bottom with (x+5) on the right side and (x+4) on the left side.

5x (x+5)             -           3(x+4)  

(x+5)(x+4)(x+2)      (x+5)(x+4)(x+2)

Focus on the top. 5x(x+5) will turn out to be 5x^2+25x. 3(x+4) will turn out to be 3x+12. Combine the two equations because now they are equal to each other and do the subtraction:

5x^2+25x - (3x+12)     =    5x^2+22x-12         x cannot be -5, -4, -2

 (x+5)(x+4)(x+2)               (x+5)(x+4)(x+2)

HELP FAST PLEASE!!! Find the sample space of the situation using a table or tree diagram on
paper, and then type your sample space below.
tossing a coin (Heads or Tails) AND spinning the spinner (1-5)

Answers

Answer:

Sample space:

{(H, 1), (H, 2), (H, 3), (H, 4), (H, 5), (T, 1), (T, 2), (T, 3), (T, 4), (T, 5)}

Step-by-step explanation:

Tossing a coin has two possible outcomes, heads (H) and tails (T).

Spinning the spinner has 5 possible outcomes, 1, 2, 3, 4, 5.

Table:

First spin                   H     H     H     H     H    T     T     T     T     T

Second spin              1      2      3     4      5     1     2     3     4     5

Sample space:

{(H, 1), (H, 2), (H, 3), (H, 4), (H, 5), (T, 1), (T, 2), (T, 3), (T, 4), (T, 5)}

On the day after my birthday this year, I can truthfully say: "The day after tomoroow is Monday". ON which day is my birthday?

Answers

Answer:

Saturday

Step-by-step explanation:

2 days before (starting from Monday) is Saturday

A whole number is 6 more than 2 times another number. The sum of the two numbers is less than 50. This can be written in an inequality as x + 2x + 6 < 50, where x represents the smaller number.

Answers

The smaller number that we can take is x = 14, and in that case, the value of the other number is y = 34

How to write the inequality?

First, we have two numbers, x and y, such that:

y = 6 + 2*x

"the first number is 6 more than 2 times another number".

Now we know that the sum of these two numbers is smaller than 50, then we can write:

x + y < 50

Replacing y by the above equation we get:

x + 6 + 2x <  50

3x + 6 < 50

Now we can solve that inequality for x:

3x < 50 - 6 = 44

x < 44/3 = 14.6

And x can only be a whole number, then:

x ≤ 14

The smaller number that we can take is x = 14, and in that case, the value of the other number is:

y = 6 + 2*14 = 34

If you want to learn more about inequalities:

https://brainly.com/question/25275758

#SPJ1

on a unit circle, the terminal point of theta is (0, - 1) what is tan theta?
A. 1
B. Undefined
C. -1
D. 0

Answers

The answer is B.

If the terminal point of θ is at (0, -1), then tanθ is equal to :

Δy/Δx-1/0Undefined

The tangent of the given angle is undefined, so the correct option is B.

What is a tangent function?

The tangent function is one of the main six trigonometric functions and is generally written as tan x. It is the ratio of the opposite side and the adjacent side of the angle in consideration in a right-angled triangle.

Given that on a unit circle, the terminal point of θ is (0, - 1) we need to determine tan θ,

We know that the terminal point of θ is (0, -1).

Now, the tangent of an angle is equal to the quotient between the y-component and the x-component of the terminal point, then we have:

tan(θ) = =1/0

And we can't divide by zero, so it is undefined, then the correct option is B.

Learn more about the tangent function:

brainly.com/question/6904750

#SPJ2

A force of 3 pounds is required to hold a spring stretched 0.6 feet beyond its natural length. how much work (in foot-pounds) is done in stretching the spring from its natural length to 0.7 feet beyond its natural length? answer exactly or round to 2 decimal places.

Answers

The work done (in foot-pounds) in stretching the spring from its natural length to 0.7 feet beyond its natural length is 1.23 foot-pound

Data obtained from the question

From the question given above, the following data were obtained:

Force (F) = 3 poundsExtension (e) = 0.6 feetWork done (Wd) =?

How to determine the spring constantForce (F) = 3 poundsExtension (e) = 0.6 feetSpring constant (K) =?

F = Ke

Divide both sides by e

K = F/ e

K = 3 / 0.6

K = 5 pound/foot

Thus, the spring constant of the spring is 5 pound/foot

How to determine the work doneSpring constant (K) = 5 pound/footExtention (e) = 0.7 feetWork done (Wd) =?

Wd = ½Ke²

Wd = ½ × 5 × 0.7²

Wd = 2.5 × 0.49

Wd = 1.23 foot-pound

Therefore, the work done in stretching the spring 0.7 feet is 1.23 foot-pound

Learn more about spring constant:

https://brainly.com/question/9199238

#SPJ1

Help me pls this is very hard for me and plus i gotta turn this in tomorrow

Answers

Answer: [tex]\Large\boxed{x=40^\circ}[/tex]

Step-by-step explanation:

Given information

∡ 1 = 90°

∡ 2 = 50°

∡ 3 = x°

Total Angle = 180° (Triangle angle sum theorem)

Given formula

∡ 1 + ∡ 2 + ∡ 3 = Total Angle

Substitute values into the formula

(90) + (50) + (x) = (180)

Combine like terms

140 + x = 180

Subtract 140 on both sides

140 + x - 140 = 180 - 140

[tex]\Large\boxed{x=40^\circ}[/tex]

Hope this helps!! :)

Please let me know if you have any questions

Other Questions
Which of the following is not an organic compound?OC6H14O COOCH4C12H22011 The smaller the grinder, the _______ the speed it turns Is coupling of transcription and translation possible in single-celled eukaryotes such as yeast? why or why not? Which international health organization aims to improve people's lives by educating them on topics that they normally wouldn't know about? What happens to the visible radiation produced by new stars within a molecular cloud? Ron works at the local bookstore for an hour every day. He earns $5 daily from this job. If he adds this amount to his daily allowance, he has $70 at the end of each week. The amount of money Ron receives each week is represented by the equation 7(x + 5) = 70, where x is the amount of Ron's daily allowance. Plug the numbers from the set {5, 10, 15, 20} into the equation to find x, the amount of Ron's daily allowance. Oncotic force is a type of osmotic force due to having a differential concentration of ________ across the wall of a capillary 3. According to the diagram above, what is 2x?(A) 18(B) 27(C) 36(D) 54 PLEASE HELP IN STUCK The sarbanes-oxley (sox) act aims to reduce fraud by? MR MARK MARKS HIS CLASS ON A NORMAL CURVE. THOSE WITH z-SCORES ABOVE 1.8 WILL RECEIVE AN A, THOSE BETWEEN 1.8 AND 1.1 WILL RECEIVE A B, THOSE BETWEEN 1.1 AND -1.2 WILL RECEIVE A C, THOSE BETWEEN -1.2 AND -1.9 WILL RECEIVE A D, AND THOSE UNDER -1.9 WILL RECEIVE AN F. FIND THE PERCENT OF GRADES THAT WILL BE A, B, C, D, AND F. A(n) ____________ compares current stock prices with those in a specified base period. Why do governents exist and what are some key differences between governments around the world? _______ are small groups of consumers who interact directly and informally with product designers without a moderator present. The mean of a normally distributed data set is 118, and the standard deviation is 16.a) Use the standard normal table to find the probability that a randomly-selected data value is greater than 140.b) Use the standard normal table to find the probability that a randomly-selected data value is less than 90. A heterozygous person that has one disease allele and one normal allele is referred to as a:______. A _______________ gives customers the belief that manufacturers will stand behind their product. please help with math 30. A man walks diagonally from one corner of arectangular lot to the opposite corner. If hewalks at the rate of 5 feet a second, and the lot is50 feet by 120 feet, how many seconds will hesave by walking diagonally instead of walkingalong the perimeter of the lot?(A)8(B) 10(C) 17(D) 34 You need to order supplies for your office printers. you have a mix of impact, inkjet and laser printers. what do you need to order to ensure the impact printers can print?