Answer: 48
Step-by-step explanation:
Given, A box has a white, a green, a blue, and an orange marble.
Total possible outcomes of pulling marbles = 4
There is also a fair 12-sided die labeled with the numbers 1 through 12.
Total possible outcomes of rolling the die = 12
By Fundamental counting principle , we have
Possible outcomes are in the sample space for pulling a marble out of the box and rolling the die = (Total possible outcomes of pulling marbles ) x (Total possible outcomes of rolling the die)
= 4 x 12
= 48
Hence, the correct answer is "48".
-\dfrac{1}{6} \times \left(-\dfrac{9}{7}\right)− 6 1 ×(− 7 9 )minus, start fraction, 1, divided by, 6, end fraction, times, left parenthesis, minus, start fraction, 9, divided by, 7, end fraction, right parenthesis
Answer:
[tex]\dfrac{3}{14}[/tex]
Step-by-step explanation:
The even number of minus signs means the product will be positive. A factor of 3 can be removed to simplify the product. As usual, the numerator of the product is the product of numerators, and the denominator of the product is the product of denominators.
[tex]-\dfrac{1}{6} \times \left(-\dfrac{9}{7}\right)=\dfrac{1\cdot 9}{6\cdot 7}=\dfrac{3\cdot 3}{3\cdot 14}=\boxed{\dfrac{3}{14}}[/tex]
Answer:
→ 3/4 ←
-1/6 × (-9/7)= 1·9/6·7 3·3/3·14 = 3/4
What is —4р + (- 6р) equals?
Answer
[tex] \boxed{10p}[/tex]
Step by step explanation
[tex] \mathsf{ - 4p + (- 6p)}[/tex]
When there is a ( + ) in front of an expression in parentheses, the expression remains the same
[tex] \mathsf{ - 4p - 6p}[/tex]
Collect like terms
[tex] \mathsf{ - 10p}[/tex]
Hope I helped!
Best regards!
3/4a-1/6=2/3a+1/4? Please i need help!!!!
Answer: a=5
Step-by-step explanation:
1/12a=10/24
24a=120
a= 5
Variance 0.7775
Find the standard deviation (hint: the standard deviation is the square root of the variance)
Answer:
0.88175960442
Step-by-step explanation:
The square root of 0.7775 is 0.88175960442
The value of standard deviation will be;
⇒ 0.8803
What is mean by square root of a number?
A square root of a number is a value that multiplied by itself gives the same number.
Given that;
The value of Variance = 0.7775
Now,
Since, The standard deviation is the square root of the variance.
Hence, We can formulate;
The value of standard deviation = √0.7775
= 0.8803
Thus, The value of standard deviation will be;
⇒ 0.8803
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What x value solves the equation? 3x – 5 = 1 x =
Answer:
x = 2
Step-by-step explanation:
3x - 5 = 1
Adding 5 to both sides gives us:
3x - 5 + 5 = 1 + 5
3x = 6
Dividing the equation by 3 gives us:
3x / 3 = 6 / 3
x = 2
Answer:
x = 2 Hfizfifsits96eotst9s
Suppose that there are two types of tickets to a show: advance and same-day. The combined cost of one advance ticket and one same-day ticket is $65 . For one performance, 25 advance tickets and 35 same-day tickets were sold. The total amount paid for the tickets was 1875 . What was the price of each kind of ticket?
Answer:
same day = 25
advanced = 40
Step-by-step explanation:
Let a = advanced tickets
s = same day tickets
s+a = 65
25a+35s = 1875
Multiply the first equation by -25
-25s -25a = -1625
Add this to the second equation
25a+35s = 1875
-25a -25s= -1625
---------------------------
10s = 250
Divide each side by 10
10s/10 = 250/10
s =25
Now find a
s+a = 65
25+a = 65
a = 40
Answer: same day = 25
advanced = 40
5/14, 7/10, 5/6, 11/15, 19/2
Answer:
5/14 = 0.36
7/10 = 0.7
5/6 = 0.83
11/15 = 0.73
19/21 = 0.9
(round to the tenth)
so the answer is;
5/14, 7/10, 11/15, 5/6, 19/21
Step-by-step explanation:
Hope it helps!
A rectangle's length and width are in a ratio of 3:1. The perimeter is 72 inches. What are the length and width?
Answer:
Step-by-step explanation:
If the sides exist in a ratio to one another, then when you multiply some number x by both the length and the width, they still remain as a ratio. The length will be 3x and the width will be 1x. The perimeter formula is
P = 2L + 2W and since our perimeter is 72 and we have both the length and the width, we can fill in the formula and solve for x:
72 = 2(3x) + 2(1x) and
72 = 6x + 2x and
72 = 8x so
9 = x.
If x = 9, then 1x = 9 and 3x = 27. Let's check the perimeter against those side lengths.
P = 2(3x) + 2(1x) and
P = 2(27) + 2(9) and
P = 54 + 18 so
P = 72
and you're done! (The bold numbers above are the width and length, respectively.)
Function g can be thought of as a scaled version of f(x)=|x| what is the equation for g(x)?
Answer:
A
Step-by-step explanation:
Khan academy
The equation for the g(x) is g(x) = -4|x| if function g can be thought of as a scaled version of f(x)=|x| option (B) is correct.
What is a function?It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
We have:
Function g can be thought of as a scaled version of f(x)=|x|
The function f(x):
f(x) = |x|
The blue lines represent the function f(x)
First reflect the function f(x) around the x-axis
F(x) = -|x|
Multiply by the factor 4 to stretch the function:
g(x) = -4|x|
Thus, the equation for the g(x) is g(x) = -4|x| if function g can be thought of as a scaled version of f(x)=|x| option (B) is correct.
Learn more about the function here:
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One leg of a right triangle measures 8 units and the hypotenuse measures 12 units. The perimeter of the triangle is irrational. True False
Answer:
TRUE
Step-by-step explanation:
Length of other leg [tex]= \sqrt {12^2 - 8^2} \\
= \sqrt {144 -64} \\
= \sqrt {80} \\
= 4\sqrt {5} \\[/tex]
Since, [tex] \sqrt 5[/tex] is an irrational number, hence Perimeter of triangle will also be irrational.
TRUE
Answer:
True.
Step-by-step explanation:
The length of the other side = sqrt ( 12^2 - 8^2)
= sqrt (144 - 64)
= sqrt ( 80) which is irrational so the perimeter is also irrational.
(The sum of a rational number and an irrational is irrational).
Solve for x.
13(x-3) = 39
x=1
x=4
x=6
x= 10
Answer:
x=6
Step-by-step explanation:
13(x-3) = 39
Divide each side by 13
13/13(x-3) = 39/13
x-3 = 3
Add 3 to each side
x-3+3 = 3+3
x = 6
Answer:
x=6 ,is right.
6-3=3&multiply 13=39
so answer is x=6
mark brainleast plz
PLEASE help me with this question! This is really urgent! No nonsense answers please.
Answer:
140°
Step-by-step explanation:
[tex] \because m\widehat{BG} = 360\degree - m\widehat{GCB} \\
\therefore m\widehat{BG} = 360\degree - 300\degree \\
\therefore m\widehat{BG} = 60\degree \\
\because m\widehat{BGD} = m\widehat{BG}
+m\widehat{GD}\\
\therefore m\widehat{BGD} = 80\degree+60\degree\\
\therefore m\widehat{BGD} = 140\degree\\
\because m\angle BAD = m\widehat{BGD} \\
\huge\purple {\boxed {\therefore m\angle BAD =140\degree}} [/tex]
please help me for the homework
Answer:
refer to the pic attached
If an arrow is shot upward on Mars with a speed of 62 m/s, its height in meters t seconds later is given by y = 62t − 1.86t². (Round your answers to two decimal places.) Estimate the speed when t = 1. Can you please show me the steps to solve this?
Answer:
Approximately [tex]58.28\; \rm m \cdot s^{-1}[/tex].
Step-by-step explanation:
The velocity of an object is the rate at which its position changes. In other words, the velocity of an object is equal to the first derivative of its position, with respect to time.
Note that the arrow here is launched upwards. (Assume that the effect of wind on Mars is negligible.) There would be motion in the horizontal direction. The horizontal position of this arrow will stays the same. On the other hand, the vertical position of this arrow is the same as its height: [tex]y = 62\, t - 1.86\, t^2[/tex].
Apply the power rule to find the first derivative of this [tex]y[/tex] with respect to time [tex]t[/tex].
By the power rule:
the first derivative of [tex]t[/tex] (same as the first derivative of [tex]t^2[/tex] (same as [tex]t[/tex] to the second power) with respect toTherefore:
[tex]\begin{aligned}\frac{dy}{d t} &= \frac{d}{d t}\left[62 \, t - 1.86\, t^2\right] \\ &= 62\,\left(\frac{d}{d t}\left[t\right]\right) - 1.86\, \left(\frac{d}{d t}\left[t^2\right]\right) \\ &= 62 \times 1 - 1.86\times\left(2\, t) = 62 - 3.72\, t\end{aligned}[/tex].
In other words, the (vertical) velocity of this arrow at time [tex]t[/tex] would be [tex](62 - 3.72\, t)[/tex] meters per second.
Evaluate this expression for [tex]t = 1[/tex] to find the (vertical) velocity of this arrow at that moment: [tex]62 - 3.72 \times 1 =58.28[/tex].
Answer:
58.28 m/s
Step-by-step explanation:
y = 62t - 1.86t²
Speed, S = dy/dt = 62 - 2(1.86)t
S = 62 - 3.72t
When t = 1
S = 62 - 3.72 = 58.28 m/s
Help please on this question. I’d appreciate it if you answered.
Ok so the letters overwrap all of the alphabets and the other terms are in.
Answer:
see below
Step-by-step explanation:
Consonants and vowels do not overlap
There are no consonants that are vowels and no vowels that are consonants
That means the circles will never touch
Covert the verbal expression into an algebraic expression.
The product of 23 and a number x
Answer:
23×x
=23x
Hope it helps
Answer:
23x
Step-by-step explanation:
"The product of" indicates that we will be multiplying the two quantities. 23 multiplied by x can be written as 23 * x which simplifies to 23x.
Celine is Drake’s granddaughter. Her age is 4 years greater than of Drake’s age. If Celine is 28 years old, how old is Drake?
Answer:32
Step-by-step explanation:
if selling is 28 and she is 4 years greater than Drake then that is 28-4 which is 32 so Drake is 32 years old
Answer:
The answer is 32.
Step-by-step explanation:
If Celine is 28 and Drake is four years older than her, we do 28+4.
find y.
picture attached
A 2-column table with 8 rows. The first column is labeled x with entries negative 6, negative 5, negative 4, negative 3, negative 2, negative 1, 0, 1. The second column is labeled f of x with entries 34, 3, negative 10, negative 11, negative 6, negative 1, negative 2, negative 15. Using only the values given in the table for the function, f(x), what is the interval of x-values over which the function is increasing? (–6, –3) (–3, –1) (–3, 0) (–6, –5)
Answer:
Step-by-step explanation:
The only place that the function is increasing is [-3, -1] (learn your interval notation). At x = -3, y = -11; at x = -2, y = -6 (-6 is greater than -11); and at x = -1, y = -1 (-1 is greater than -6). The next x value, 0, returns a y value of -2. But -2 is less than -1, the value before it, so it begins deceasing again at x = 0.
Based on the values given in the table for f(x), the interval of x-values that show the function increasing is (-3, -1).
Which interval shows the function increasing?The value of f(x) was decreasing from 34 until it got to -11 where it then started to rise again. The relevant value of x here is -3.
The value then began to rise until it reached -1 where it then fell to -2. The x value here is -1.
The interval of x-values where the function is increasing is therefore (-3, -1).
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Factor completely 2c5 + 44c4 + 242c3. 2c3(c + 11)2 2(c + 11)2 2c3(c + 11)(c − 11) 2c3(c2 + 22c + 121)
Answer:
2c^3(c+11)^2
Step-by-step explanation:
2c^5 + 44c^4 + 242c^3
Factor out the greatest common factor
2c^3(c^2+22c+121)
Recognizing inside the parentheses is (a+b) ^2 where a =c and b = 11
2c^3(c+11)^2
40 POINTS!!!!
ANSWER ASAP!!!
What is the value of y?
O 3 sqrt 3 units
O 6 sqrt 3 units
O 9 sqrt 3 units
O 12 sqrt 3 units
Answer:
6 sqrt(3) = y
Step-by-step explanation:
We can use the leg rule to find y
hyp leg
----- = -------
leg part
9+3 y
----- = -------
y 9
Using cross products
12*9 = y^2
108 = y^2
Taking the square root of each side
sqrt(108) = sqrt(y^2)
sqrt(36 *3) = y
6 sqrt(3) = y
Answer: B) 6/3 units
Step-by-step explanation:
PLEASE HELP ME I WILL GIVE 5 STARS TO THE FIRST ONE WHO GETS THIS RIGHT !
Answer:
Option 1 and option 4
Step-by-step explanation:
The inverse of 12^2 is the √12 so option 4 is correct. 12^1/2 also equals √12 so option 1 is also correct.
Answer:
12 [tex]\frac{2}{1}[/tex]
Step-by-step explanation:
The line plot below displays the fraction of incoming calls answered before the second ring by a group of employees. What fraction of employees answered less than of their incoming calls before the second ring?
Answer:
1/6
Step-by-step explanation:
People who answered less than 1/2 were: 2 + 1 + 3 = 6 people.
There are a total of 36 people.
People who answered their calls before the second ring were only 6/36.
When we simplify the fraction, we get 1/6.
So, the answer is 1/6
Someone help me plzz
Step-by-step explanation:
distance around the running track means to find the perimeter of whole solid figure
radius(r) = 30/2 =15m
perimeter = 50+ pi× r + 50+ pi × r
= 100 + 2 × pi ×r
= 100 + 2× 22÷7 × 15
= 1360/ 7 m
= 194.285 m
A plane set off to Paris at a speed of 300mph. On the return flight of 12 hours, the plane cruised at 242mph. How many hours long was the flight to Paris
Answer:well the answer is 2 hours 16 minutes.
Step-by-step explanation:
To find your plane's rate of speed, you calculate the distance ... amount of time in the air (2 hours and 16 minutes) to.
a cone with base radius 7 cm has a volume of 308 cm cube find the vertical height of the cone take π 22/7
pls now
Answer:
h=6.003 cm
Step-by-step explanation:
[tex] \frac{1}{3} \pi {r}^{2} h \: \: is \: the \: volume \: of \: cone[/tex]
1/3×22/7×7×7×h=308
h=308/51.3
Answer:
h = 6 cm
Step-by-step explanation:
r = 7 cm
Volume of cone = 308 cm³
[tex]\frac{1}{3}\pi r^{2}h=308\\\\\\\frac{1}{3}*\frac{22}{7}*7*7*h=308\\\\\\h=\frac{308*3*7}{22*7*7}\\\\\\h=2*3[/tex]
h = 6 cm
Which expression represents the prime factorization of 243?
Answer:
[tex]\boxed{3^5}[/tex]
Step-by-step explanation:
Hey there!
Look at the image below↓
By looking at the image we can tell the PR expression is [tex]3^5[/tex].
Hope this helps :)
Answer:
Below in bold.
Step-by-step explanation:
Dividing by primes:
3 ) 243
3 ) 81
3 ) 27
3) 9
3.
So the prime factors of 243 are 3 * 3 * 3 * 3 * 3 or 3^5.
Find the length of AB
Answer:
AB = 3π
Step-by-step explanation:
The formula for the circumference of a circle is:
C = 2πr
By substituting 27 for r:
C = 2π(27)
C = 54π
The whole circumference is 54π. A circle is 360º around. We can set up a proportion to find the length of the 20º arc:
[tex]\frac{360}{54p}[/tex] = [tex]\frac{20}{x}[/tex]
Cross-multiply:
360x = 1080π
Divide both sides by 360:
x = 3π
AB = 3π
Answer:
AB = 3π
Step-by-step explanation:
The arc AB can be calculated as
AB = circumference of circle × fraction of circle
The central angle is equal to the measure of arc AB = 20° , thus
AB = 2πr × [tex]\frac{20}{360}[/tex]
= 2π × 27 × [tex]\frac{1}{18}[/tex] ( cancel 18 and 27 by 9 )
= 2π × 3 × [tex]\frac{1}{2}[/tex] = 6π × [tex]\frac{1}{2}[/tex] = 3π
help please, got a little lost in everything
Answer:
375 mm cubed
Step-by-step explanation:
The volume would stay the same because the same number of the same pennies are being used.
If the question was asking for the surface area, then the answer would be different.
Hope that helped!!! k
Answer: 375 mm cubed
Dtermine the answer to (−5) + 4 and explain the steps using a number line
Answer:
Step-by-step explanation:
=-5 +4
= -1
put a dot on -1 and go from -5 to -1 and then from -1 to -5