Answer:
[tex]\large\boxed{\dfrac{1}{45}}[/tex]
Step-by-step explanation:
1.
2 yellow marables of 10 all marables
[tex]P(A_1)=\dfrac{2}{10}=\dfrac{1}{5}[/tex]
2.
1 yellow marable of 9 all marables
[tex]P(A_2)=\dfrac{1}{9}[/tex]
[tex]P(A)=P(A_1)\cdot P(A_2)\\\\P(A)=\dfrac{1}{5}\cdot\dfrac{1}{9}=\dfrac{1}{45}[/tex]
What is the domain of g?
Answer:
The answer is -9,9 Its funny cuz I just did this problem on Khan academy
Step-by-step explanation:
Can I get brainliest
-9,9 should be the answer
Write a function rule for the table.
f(x) = x + 1
f(x) = x
f(x) = –1 – x
f(x) = x –1
I assume one of the four options is the correct answer...
Remember that in order to determine if a function rule is correct, you should be able to plug an x value into the equation and get the corresponding y value as the answer.
The first option, f(x) = x + 1, is correct!
Answer: The correct option is (A) f(x) = x + 1.
Step-by-step explanation: We are given to write a function rule for the following table :
x -1 0 1 2
f(x) 0 1 2 3
From the given table, we see that
[tex]f(-1)=0=-1+1,\\\\f(0)=1=0+1,\\\\f(1)=2=1+1,\\\\f(2)=3=2+1.[/tex]
Therefore, the required function rule is given by
[tex]f(x)=x+1.[/tex]
Thus, option (A) is CORRECT.
Find the value of x. Round to the nearest tenth
Answer:
16.2
Step-by-step explanation:
A trick to remember for right triangles is SOH-CAH-TOA:
Sine = Opposite / Hypotenuse
Cosine = Adjacent / Hypotenuse
Tangent = Opposite / Adjacent
Here, we have the side adjacent to the angle and the hypotenuse. So we should use cosine.
cos 22° = 15 / x
x = 15 / cos 22°
x ≈ 16.2
You buy a laptop that costs £899, including VAT at 20%. How much of the purchase price is VAT?
I’m not sure if it’s right try it
For this case we propose a rule of three:
£ 899 ----------------> 100%
x ----------------------> 20%
Where "x" represents the amount of money corresponding to the VAT.
[tex]x = \frac {20 * 899} {100}\\x = 179.8[/tex]
So, the VAT is £ 179.8
ANswer:
The purchse price of VAT is £ 179.8
help me im timed i cant figure it out
For this case we have to find the inverse of a function, follow the steps below:
Replace f (x) with y.We exchange the variables.We solve for "y".Finally we change y by [tex]f ^ {- 1} (x)[/tex]Then, it is observed that of option 3:
[tex]f (x) = 4x[/tex]
Replace [tex]f (x)[/tex]with y:
[tex]y = 4x[/tex]
We exchange the variables:
[tex]x = 4y[/tex]
We solve for "y":
[tex]4y = x\\y = \frac {x} {4}[/tex]
Finally we change y by [tex]f ^ {- 1} (x):[/tex]
[tex]f ^ {- 1} (x) = \frac {x} {4}[/tex]
Answer:
The correct option is C
Answer:
It's the third choice.
Step-by-step explanation:
f(x) = y = 4x
x = 1/4 y
Change the y to x:
so the inverse g(x) = 1/4 x.
Sarah bought a car last year to drive back and forth to work after she spent $1,098 on gas this year she spent $1,562 what is the inflation rate rounded to the nearest percent
Answer:
its 42%
Step-by-step explanation:
the answer above is wrong
The inflation rate in the car is 42%.
What is the inflation rate?Inflation Rate (CPI, annual variation in %) Inflation refers to an overall increase in the Consumer Price Index (CPI), which is a weighted average of prices for different goods.
Sarah bought a car last year to drive back and forth to work after she spent $1,098 on gas this year she spent $1,562.
Based on the above information, the calculation is as follows:
[tex]\rm Inflation \ rate=\dfrac{1562-1098}{1098}\\\\ Inflation \ rate=\dfrac{464}{1098}\\\\ Inflation \ rate=0.42\\\\ Inflation \ rate=0.42 \times 100\\\\ Inflation \ rate= 42 \ percent[/tex]
Hence, the inflation rate of the car is 42%.
Learn more about the inflation rate here;
https://brainly.com/question/25892558
#SPJ2
Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s).
Consider the equation.

The value of x in terms of p is .
The value of x when p is −5 is .
Answer:
15/p and -3
Step-by-step explanation:
4(px+1)=64
Distribute 4: 4px + 4=64
Subtract 4 from both sides : 4px+4-4=64-4
Divide by 4p: 4px/4p=60/4p
x=15/p
who do I write the fraction 2/5 as an equivalent fraction with denominator 15x
Answer:
Step-by-step explanation:
multiply the top and bottom of the fraction by 15x
2*15x
=======
5*15x
30x
====
75x
how many yards can fit in 5 miles
Answer:
8800 yards
Step-by-step explanation:
1760 feet * 5 = 8800 yards
Answer:
8800
Step-by-step explanation:
I googled it
A van travels 320 miles on 16 gallons of gas. Find how many gallons the van needs to travel 420 miles
The van needs 21 gallons of gas. Take 16/(320/420)
The van will need 21 gallons of gas to travel 420 miles, based on its fuel efficiency of 20 miles per gallon.
The student is asking how many gallons of gas a van needs to travel 420 miles, given that it travels 320 miles on 16 gallons of gas.
First, we calculate the van's fuel efficiency which is found by diving the miles traveled by the gallons of gas used. For the van in the question:
Fuel efficiency: 320 miles / 16 gallons = 20 miles per gallon (MPG)
Next, we can use this fuel efficiency to find out how many gallons will be needed for 420 miles. We divide the total miles by the MPG:
Gallons needed: 420 miles / 20 MPG = 21 gallons
Therefore, the van will need 21 gallons of gas to travel 420 miles.
A rectangle has an area of 22 square miles and a base of 5 miles. What is the height? miles
Answer:
4.4 miles is the height
Step-by-step explanation:
Area = base x height
22= 5 x 4.4
Answer:22=5*4.4
Step-by-step explanation:
the base is 5 miles so you do 22 / 5 and it gives you 4.4 for the height
What are the coordinates of a point that partitions segments ab in a ratio of 1:5?
(3,6) I think is the answer
Answer:
I believe it's (19,10)
It will take Adam four hours to drive to Disney Park, and 2.5 times less time if driving 45 mph faster. What is the distance Adam should cover to get to the park?
Answer:
120 miles
Step-by-step explanation:
we know that
The speed is equal to the distance divided by the time
Let
s------> the speed in mph
d-----> the distance in miles
t -----> the time in hours
s=d/t
solve for the distance
d=s*t
It will take Adam four hours to drive to Disney Park
s=x mph
t=4 h
substitute
d=4x -----> equation A
It will take Adam 2.5 times less time if driving 45 mph faster
so
s=(x+45) mph
t=4/2.5=1.6 h
substitute
d=1.6(x+45) -----> equation B
equate equation A and equation B
4x=1.6(x+45)
Solve for x
4x=1.6x+72
4x-1.6x=72
2.4x=72
x=30 mph
Find the distance d
d=4x -----> d=4(30)=120 miles
Answer:
120 miles
Step-by-step explanation:
x and y intercepts if y=3(x-1)^2-12
The x-intercepts are: (-1,0) and (3,0).
The y-intercept is: (0,-9).
Hope this helps!
7. The coordinates of the vertices of a rectangle are go
I by
R(-3,-4), E(3, 4), C(4,4), and T(4-4). Plot these points
on the coordinate plane at the right and connect them to
draw the rectangle. Then connect points E and T to form
diagonal ET.
a. Use the Pythagorean Theorem to find the exact
length of ET.
b. How can you use the Distance Formula to find the
length of ET? Show that the Distance Formula gives
the same answer
Answer:
a. By Pythagorean Theorem: [tex]ET=\sqrt{113}[/tex]
b. By Distance Formula: [tex]ET=\sqrt{113}[/tex]
Step-by-step explanation:
The given rectangle has vertices R(-3,-4), E(-3, 4), C(4,4), and T(4-4).
The points have been plotted on the coordinate plane as shown in the attachment.
a. Using the Pythagoras Theorem;
[tex]ET^2=EC^2+CT^2[/tex]
We substitute the side lengths to obtain:
[tex]ET^2=7^2+8^2[/tex]
[tex]ET^2=49+64[/tex]
[tex]ET^2=113[/tex]
Take positive square root to obtain:
[tex]ET=\sqrt{113}[/tex]
b. The distance formula is given by:
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
The endpoints of ET are at E(-3,4) and T(4,-4).
Using the distance formula;
[tex]ET=\sqrt{(4--3)^2+(-4-4)^2}[/tex]
[tex]ET=\sqrt{(7)^2+(-8)^2}[/tex]
[tex]ET=\sqrt{49+64}[/tex]
[tex]ET=\sqrt{113}[/tex]
Share £35 in ratio 2:3
11. The slope of a linear function h(x) is 2. Suppose the function is translated 8 units up to get d(x). How can h(x) be
translated to the left or right to represent the same function d(x)? Explain your answer.
Answer:
See below.
Step-by-step explanation:
If we translate h(x) to the left it will override line d(x) because the slope of both lines is the same. H(x) will need to move 4 units to the left to do this (because the slope = 2 = 8/4).
To represent the same function as d(x), the linear function h(x) with a slope of 2 should be translated 4 units to the left, resulting in the function h(x+4). This horizontal shift increases the value of y by 8 units, which equates to the vertical shift applied to create d(x).
To translate the linear function h(x) to result in the same function as d(x), which is h(x) translated 8 units up, we need to consider the properties of linear functions and translations. Since h(x) has a slope of 2, we can denote it as h(x) = 2x + b, where b is the y-intercept. When h(x) is translated 8 units up to become d(x), the new function is d(x) = h(x) + 8 = 2x + b + 8. To counteract this vertical shift with a horizontal translation and maintain the same function as d(x), we must shift h(x) in such a way that every x value for h(x) yields the same y-value for d(x) after the translation.
To achieve this, we would have to shift h(x) to the left by 4 units, resulting in the function h(x+4). This is because for every 1 unit increase in x, the value of h(x) increases by 2 units (the slope), so a shift of 4 units left would increase y by 8 units, which is the same effect as the vertical translation applied to obtain d(x). Thus, h(x+4) = 2(x+4) + b = 2x + 8 + b, which aligns with d(x). This explanation confirms that the properties of linear functions and translation mechanics allow us to equate d(x) with a horizontally translated version of h(x).
1. Which of the following equations have rational solutions?
Select TWO that apply.
A. (X+5)^2=49
B. X^2=12
C. X^2=81
D. (X-1)^2=20
2. Which quadratic equation is a perfect square trinomial with only one root, x=-6?
A. 3x^2+x-2=0
B. X^2-15x+36=0
C. X^2+12x+36=0
Answer:
1. A. and C.2. C.Step-by-step explanation:
[tex]1.\\\bold{YES}\\A.\ (x+5)^2=49\iff x+5=\pm\sqrt{49}\\\\x+5=\pm7\qquad\text{subtract 5 from both sides}\\\\x=-13\in\mathbb{Q}\ or\ x=2\in\mathbb{Q}\\\\C.\ x^2=81\iff x=\pm\sqrt{81}\\\\x=\pm9\in\mathbb{Q}\\\\\bold{NOT}\\B.\ x^2=12\to x=\pm\sqrt{12}\notin\mathbb{Q}\\D.\ (x-1)^2=20\to x-1=\pm\sqrt{20}\notin\mathbb{Q}[/tex]
[tex]\bold{YES}\\C.\\x^2+12x+36=0\\\\x^2+2(x)(6)+6^2=0\qquad\text{use}\ (a+b)^2=a^2+2ab+b^2\\\\(x+6)^2=0\iff x+6=0\qquad\text{subtract 6 from both sides}\\\\x=-6\\\\\bold{NOT}\\A.\\3x^2+x-2=0\\3x^2+3x-2x-2=0\\3x(x+1)-2(x+1)=0\\(x+1)(3x-2)=0\iff x+1=0\ \vee\ 3x-2=0\\\text{two different solutions}\\B.\\x^2-15x+36=0\\x^2-12x-3x+36=0\\x(x-12)-3(x-12)=0\\(x-12)(x-3)=0\iff x-12=0\ \vee\ x-3=0\\\text{two different solutions}[/tex]
PLZ HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPP
How can you find the missing side length of a cube if you know the cube’s volume?
Answer:
See below
Step-by-step explanation:
In order to solve for the length of a cube, you must already know its width, depth, and volume. Then, arrange the problem as an equation:
Length x width x depth = volume
Next, solve the equation for the length. For example, If I have a cube with a width of 5ft, a depth of 5ft, and a volume of 50ft^3, I will solve for the length by arranging the values to fit the formula shown above:
L x 5 x 5 = 50
Then I'll multiply the values on the left:
25L = 50
And, finally, I will divide either side by 25, which leaves the answer:
L = 2ft
Hope this helps! Feel free to ask questions!
which of the following graphs represents the solution(s) of the following system x^2+y=7 x^2+y^2=49
UPDATE : its B
Answer:
The graph in the attached figure
Step-by-step explanation:
we have
[tex]x^{2} +y=7[/tex]
[tex]y=-x^{2}+7[/tex] ----> equation A
This is the equation of a vertical parabola open downward
The vertex is the point (0,7)
[tex]x^{2} +y^{2}=49[/tex]
[tex]x^{2} +y^{2}=7^{2}[/tex] ----> equation B
This is the equation of a circle with center at (0,0) and radius equal to 7 units
The y-intercepts of the circle are the points (0,7) and (0,-7)
therefore
The graph in the attached figure
Answer:
B
Step-by-step explanation:
Explain the following terms: positive slope, negative slope, x-intercept, y-intercept
Which of the following is equal to the rational expression when x doesn’t equal 1 or -1? 5(x-1)/(x+1)(x-1) please help
Answer:
Final answer is [tex]\frac{5}{(x+1)}[/tex].
Step-by-step explanation:
Given expression is [tex]\frac{5\left(x-1\right)}{(x+1)(x-1)}[/tex] where x doesn’t equal 1 or -1. Now we need to find about which of the given choices is equal to the given rational expression. Choices are missing but we can still solve this problem.
[tex]\frac{5\left(x-1\right)}{(x+1)(x-1)}[/tex]
cancel out common factors from top and bottom.
[tex]=\frac{5}{(x+1)}[/tex]
Hence final answer is [tex]\frac{5}{(x+1)}[/tex].
Answer:
5/x+1
Step-by-step explanation:
Look at the figure. Classify the pair of angles: <4 and <5.
Answer:
Option B
same-side interior angles
Step-by-step explanation:
Given in the question, two non parallel lines a and b.
The area between lines a and b is called the interior of the two lines.
Angles 4 and 5 are same-side interior angles.
Other options are wrong because:
A)The area which not between lines a and b is called the exterior
C)Corresponding angles are on same side of the traversal line.
Example
Angles 1 and 5
D)Alternate interior angles are in interior region but in opposite side of traversal line.
Example
Angles 3 and 5
What is the slope and y-intercept of this line?
y = –3x + 9
slope: 9, y-intercept: –3
slope: 3, y-intercept: –9
slope: –3, y-intercept: 9
slope: 1, y-intercept: –3
Answer:
C
Step-by-step explanation:
y=mx+b
b= y-intercept
m=slope
m=-3
b=9
[tex]\huge\boxed{Slope=-3,\;Y\;intercept=9.}[/tex]
___________________________________________________________
[tex]\boxed{Explanation}[/tex]
y=mx+b.
m is always where the slope is located.
b is always where the y intercept is located.
Therefore, since -3 is located at m that is the slope and 9 is located at b so that is the y intercept.
Reflection all symmetry is the quality a design has if it maintains all characteristics when it is (blank) lying in its plane.
A) rotated about an axis
B) translated along a line
C) rotated about a point
Answer:
Rotated about an axis
Step-by-step explanation:
APEX
Reflectional symmetry is the quality a design has if it maintains all characteristics when it is (blank) lying in its plane Option: A) rotated about an axis.
What is reflectional symmetry?Consider a plane. Consider a design or shape on that plane. Now consider an axis.
If we think of that axis as a mirror, and on the opposite side of that axis create the image of the considered shape, then if the shape's image looks exactly as the shape itself, then that shape is called to have a reflectional symmetry.
Instead of that mirror intuition, we can also think that we sort of rotated that image about that considered axis, and after half rotation, the figure is again onto its plane. If that rotated figure looks alike to the initial figure, then that figure has rotational symmetry.
Thus, reflectional symmetry is the quality a design has if it maintains all characteristics when it is (blank) lying in its plane Option: A) rotated about an axis.
Learn more about symmetry here:
https://brainly.com/question/7783612
6. I need help with question in the attached picture!
ANSWER
[tex]log( \frac{14}{3} ) + log( \frac{11}{5} ) - log( \frac{22}{15} ) =\log 7[/tex]
EXPLANATION
The given logarithmic expression is:
[tex] log( \frac{14}{3} ) + log( \frac{11}{5} ) - log( \frac{22}{15} ) [/tex]
We apply the product rule to the first two terms to get:
[tex]log( \frac{14}{3} \times \frac{11}{5} ) - log( \frac{22}{15} ) [/tex]
We the apply the quotient rule:
[tex]log( \frac{14}{3} \times \frac{11}{5} \div \frac{22}{15} ) [/tex]
[tex]log( \frac{14}{3} \times \frac{11}{5} \times \frac{15}{22} ) [/tex]
We cancel out the common factors and simplify to obtain:
[tex]log( 7 ) [/tex]
Required Knowledge.
log(ab) =log(a) + log(b)
log(a/b) = log(a) -log(b)
SOLUTION
log(14/3) +log(11/5) -log(22/15)
=log((14/3)×(11/5)) -log(22/15)
=log(154/15) -log(22/15
=log( (154/15) ÷ (22/15) )
=log( (154/15) × (15/22) )
=log(154/22)
=log(77/11)
=log(7)
Hence 7 is your answer...
Hope it helps...
Regards;
Leukonov/Olegion.
simplify: cos2x+cos4 all over sin2x - sin 4x
1400 answer choice B
Answer:
[tex]\frac{\cos\left(2x\right)+\cos\left(4x\right)}{\sin\left(2x\right)-\sin\left(4x\right)}=-\cot\left(x\right)[/tex]
Step-by-step explanation:
[tex]\frac{\cos\left(2x\right)+\cos\left(4x\right)}{\sin\left(2x\right)-\sin\left(4x\right)}[/tex]
Apply formula:
[tex]\cos\left(A\right)+\cos\left(B\right)=2\cdot\cos\left(\frac{A+B}{2}\right)\cdot\cos\left(\frac{A-B}{2}\right)[/tex] and
[tex]\sin\left(A\right)-\sin\left(B\right)=2\cdot\cos\left(\frac{A+B}{2}\right)\cdot\sin\left(\frac{A-B}{2}\right)[/tex]
We get:
[tex]=\frac{2\cdot\cos\left(\frac{2x+4x}{2}\right)\cdot\cos\left(\frac{2x-4x}{2}\right)}{2\cdot\cos\left(\frac{2x+4x}{2}\right)\cdot\sin\left(\frac{2x-4x}{2}\right)}[/tex]
[tex]=\frac{\cos\left(\frac{2x-4x}{2}\right)}{\sin\left(\frac{2x-4x}{2}\right)}[/tex]
[tex]=\frac{\cos\left(\frac{-2x}{2}\right)}{\sin\left(-\frac{2x}{2}\right)}[/tex]
[tex]=\frac{\cos\left(-x\right)}{\sin\left(-x\right)}[/tex]
[tex]=\frac{\cos\left(x\right)}{-\sin\left(x\right)}[/tex]
[tex]=-\cot\left(x\right)[/tex]
Hence final answer is
[tex]\frac{\cos\left(2x\right)+\cos\left(4x\right)}{\sin\left(2x\right)-\sin\left(4x\right)}=-\cot\left(x\right)[/tex]
Which of the diagrams shows a reflection of the figure above?
Help ASAP
The coordinates after the reflection of the given graph are A'(1,-4), B'(2,-1), and C'(3,-3). The correct graph that shows the reflection is D).
Given :
The graph given has points -- (1,4), (2,1), and (3,3).
The following steps can be used in order to determine the correct figure that shows the reflection of the given graph:
Step 1 - According to the given graph. the points are A(1,4), B(2,1), and C(3,3).
Step 2 - According to the given data, take the reflection of the given graph.
Step 3 - So, after reflection about the x-axis, the points become A'(1,-4), B'(2,-1), and C'(3,-3).
Therefore, the correct option is D).
For more information, refer to the link given below:
https://brainly.com/question/1878272
The Sun is vvv kilometers from the upper edge of the Earth's atmosphere and qqq kilometers from the surface of the Earth. Which of the following expressions always represents the distance between the Earth’s surface and the upper edge of the Earth's atmosphere?
Choose 1 answer:
(Choice A)
v+q
(Choice B)
| v-q|
(Choice C)
None of the above
Answer:
The distance between the Earth's surface and the upper edge of the Earth's atmosphere would be Q - V.
The distance from the Sun to the Earth is Q. The distance from the Sun to the upper edge of the atmosphere is V. If you subtract V from Q, the remaining distance is that of the Earth's atmosphere. Q - V = the atmosphere
Step-by-step explanation:
Answer:
Choice B
Step-by-step explanation:
I just did the question on khan
The volume of a sphere is 2,143.572,ft cubed. To the nearest foot, what is the radius of the sphere? Use 3.14 for pi.
Volume of a sphere is defined:
[tex]V=\frac{4\pi r}{3}[/tex]
Solve for radius.
[tex]3V=4\pi r\Longrightarrow r=\frac{3V}{4\pi}[/tex]
Now put in the data.
[tex]
r=\frac{3\cdot2143.572}{4\cdot3.14} \\ \\
r=\frac{6430.716}{12.56}\approx\boxed{30010}
[/tex]
The radius of the sphere is 30010ft.
Hope this helps.
r3t40