Answer:
1/13, 12/13
Step-by-step explanation:
There are 4 aces in a 52 card deck so P(Ace) = 4 / 52 = 1 / 13.
There are 52 - 4 = 48 cards that are not aces out of the whole 52 cards in the deck so P(not Ace) = 48 / 52 = 12 / 13.
An apple that was 4 meters off the ground was blown off a tree. The angle between the final position of the apple and the original
position of the apple was 35
4 m
35
Note: picture not drawn to scale
Which equation can be used to find the horizontal distance, r, that the apple was displaced?
we also need the vertical distance between the original spot and the ground to solve this,
Answer:
tan 35° = \frac{4m}{r}
Step-by-step explanation:
Tan is the length of the opposite leg over the length of the adjacent length and for angle 35 4 was the length of the opposite leg and r was the length of the adjacent leg
Use multiples to write two fractions equivalent to 9/10 - 12/13, 36/40 18/20, 10/11 8/9 * 27/30 18/20, 27/30
Answer:
27/30 18/20
Step-by-step explanation:
The graph of function f is shown. Function g is represented by this equation g(x) = 2(2)^x. A. They have different y-intercepts but the same end behavior. B. They have same y-intercepts but different end behavior. C. They have different y-intercepts and different end behavior. D. They have the same y-intercept and the same end behavior
Answer:
G(×)=2(2)^×.Q
Step-by-step explanation:
As per the function, they have different y-intercepts and different end behavior.
To compare with function f, we need to analyze its y-intercept and end behavior. If the y-intercept and end behavior of both functions are the same, the answer would be D. However, if they differ in either the y-intercept or the end behavior, the answer would be either A, B, or C.
The functions f and g have different y-intercepts since the y-intercept of g is 2, whereas the y-intercept of f would be the value of f(0) based on its graph. Additionally, they have different end behavior since function g approaches positive infinity as x increases, while function f appears to approach a horizontal asymptote.
Answer: C. They have different y-intercepts and different end behavior.
To know more about graph here
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To convert a fraction into a decimal number, divide the denominator by the numerator. TrueFalse
oof I'm wrong he's right I thought is said do idea numerator by denominator sowwy
Answer:
false; you divide the NUMERATOR by the denominator.
How many gallons each of 15% alcohol and 5% alcohol should be mixed to obtain 10 gal of 14% alcohol?
How many gallons of 15% alcohol should be in the mixture? _____ gal
Answer:
Step-by-step explanation:
each gallon 15% alcohol
and 5% alcohol
*is this question correct?
Answer:
Step-by-step explanation:
Let x = Gallons of 15% alcohol
y = gallons of 5% alcohol
x + y = 10 gallons
y = 10 - x
15% of x + 5% of y = 14% of 10 gallons
0.15x + 0.05y = 0.14 * 10
0.15x + 0.05 * ( 10 - x) = 1.4
0.15x + 0.05*10 - x * 0.05 = 1.4
0.15x + 0.5 - 0.05x = 1.4
Add like terms
0.10x + 0.5 = 1.4
Subtract 0.5 from both sides
0.10x = 1.4 - 0.5
0.10x = 0.9
Divide both sides by 0.10
x = 0.9/0.1
x = 9
x = 9 gallons
y = 1 gallons
What method can be used to write the equation of a line in slope-intercept form given two points? Find the slope using the formula , and then substitute one point and the slope into the equation to find the y-intercept. Find the slope using the formula , and then substitute one point and the slope into the equation to find the y-intercept. Find the y-intercept using the formula , and then substitute one point and the y-intercept into the equation to find the slope. Find the y-intercept using the formula , and then substitute one point and the y-intercept into the equation to find the slope.\
I'm sorry it took this lobg
Find the Missing Side Lengths
the Leave your answers as radicals in simplest form.
Answer:
x = √3
y = 1
Step-by-step explanation:
The side x, the hypotenuse 2 and the 60 degree angle are related as follows:
x
sin 60 degrees = ----------
2
and so side x is equal to 2 sin 60 degrees, or 2( (√3)/2), or √3.
By the Pythagorean Theorem, x^2 + y^2 = 2^2, or
3 + y^2 = 4, and so
y^2 = 1
so side y has length 1
x = √3
y = 1
Pleas help!!!!
Click to review the online content. Then answer the question(s) below, using complete sentences. Scroll down to view additional
questions
Online Content: Site 1
Explain what is meant by domain and range.
Answer:
Domain are the values of x-coordinates
Range are the values of y-coordinates
Step-by-step explanation:
In the set of ordered pairs {(-2, 0), (0, 6), (2, 12), (4, 18)}, the domain is the set of the first number in every pair (those are the x-coordinates): {-2, 0, 2, 4}. The range is the set of the second number of all the pairs (those are the y-coordinates): {0, 6, 12, 18}.
{(-2, 0), (0, 6), (2, 12), (4, 18)}
Domain: {-2, 0, 2, 4}.
Range: {0, 6, 12, 18}
Answer:
Domain- set of x-values
Range- set of y-values
Step-by-step explanation:
Domain
The domain of a function is the complete set of possible values of the independent variable. The domain is the set of all possible x-values which will make the function "work", and will output real y-values.
When finding the domain:
The denominator (bottom) of a fraction cannot be zero The number under a square root sign must be positive in this section
Range
The range of a function is the complete set of all possible resulting values of the dependent variable (y, usually), after we have substituted the domain. The range is the resulting y-values we get after substituting all the possible x-values.
How to find the range
The range of a function is the spread of possible y-values (minimum y-value to maximum y-value) Substitute different x-values into the expression for y to see what is happening. Make sure you look for minimum and maximum values of y. Draw a sketch!Suppose a cube is given.
How many different segments can be formed by connecting the vertices of the cube?
Answer:
I believe it is 12
I'm not 100% sure but if its right let me know
Sry if its not :/
State all possible names for a figure.
A) quadrilateral, rectangle
B) parallelogram
C) quadrilateral, parallelogram, rectangle
D) parallelogram, rectangle
ANSWER QUICK
Answer:
C) quadrilateral, parallelogram, rectangle
Step-by-step explanation:
The figure has four sides, so it is a quadrilateral. The quadrilateral has four right angles and two equal (in length) opposite sides, so it is a rectangle.
All rectangles are parallelograms, because the two opposite sides of a rectangle are parallel.
Option C should be the correct answer.
Based on the shape and the available option, the possible names for a figure here is the quadrilateral, parallelogram, rectangle
What is quadrilateral?Quadrilateral is a type of shape that is closed shape and a type of polygon that has four sides, four vertices, and four angles.
Generally, a Quadrilateral is formed by joining four non-collinear points. The sum of the interior angles of quadrilaterals is always equal to 360 degrees.
In this case, the figure has four sides, so it is a quadrilateral. The quadrilateral has four right angles and two equal (in length) opposite sides, so it is a rectangle.
All rectangles are parallelograms because the two opposite sides of a rectangle are parallel.
Hence, in this case, it is concluded that the correct answer is option C. quadrilateral, parallelogram, rectangle
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True or false? The illustration below is an example of a regular tessellation.
Answer:
B.) False
Step-by-step explanation:
A regular tessellation is a pattern made by repeating a regular polygon. But in this image, it is a demiregular tessellations. Demiregular tessellations are a set of tessellations made from 2 or more regular polygon faces.
Hope this helps you out! : )
The given illustration is not example of a regular tessellation due to overlapping of polygons which is option(B) false.
What is regular tessellation?A regular tessellation is defined as consist of a repeating pattern of one or more regular polygon. There are a few qualifications for a pattern to be a tessellation. These include:
Regular polygon cannot overlap.
Regular polygon cannot have space between them.
The patterns are created by rotating, translating, or reflecting the shapes.
Hence, the given illustration is not example of a regular tessellation due to overlapping of polygons.
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Solve for x.....................
Answer:
15
Step-by-step explanation:
In order to find the the value of x, first we need to calculate the length of the perpendicular dropped from the right angle to the hypotenuse of the given triangle.
Therefore, by geometric mean property, we have:
[tex]l(perpendicular) \\ = \sqrt{9 \times (25 - 9)} \\ = \sqrt{9 \times 16} \\ = \sqrt{144} \\ l(perpendicular) = 12 \: units \\ \\ Now \: by \: Pythagoras \: Theorem:\\ {x}^{2} = {9}^{2} + {12}^{2} \\ {x}^{2} = 81 + 144 \\ {x}^{2} = 225 \\ x = \sqrt{225} \\ x = 15[/tex]
-4/5 times (-7/6) please help
Answer:
14/15
Step-by-step explanation:
-4/5 × -7/6
Multiply numerator with numerator and denominator with denominator.
(-4×-7)/(5×6)
28/30
Simplify.
14/15
Answer:
[tex] \frac{14}{15} [/tex]
solution,
[tex] \frac{ - 4}{5} \times \frac{ - 7}{6} \\ = \frac{ - 4 \times ( - 7)}{5 \times 6} \\ = \frac{28}{30} [/tex]
divide 28 and 30 by 2 ,you will get:
[tex] \frac{14}{15} [/tex]
hope this helps..
Good luck on your assignment..
Use the interactive to graph the line with a y-intercept of –2 and slope of –1/3.
What is the x-intercept of the line?
–6
–3
3
6
Answer:
-6
Step-by-step explanation:
Question 22 on this pictured math sheet please. Have a great day!
Answer:
The required graph is shown below.
Step-by-step explanation:
The given equation is
[tex]4x-3y=12[/tex]
To draw the graph we need at least two points which satisfy the given equation.
At x=0,
[tex]4(0)-3y=12[/tex]
[tex]-3y=12[/tex]
[tex]y=\dfrac{12}{-3}[/tex]
[tex]y=-4[/tex]
At y=0,
[tex]4x-3(0)=12[/tex]
[tex]4x=12[/tex]
[tex]x=3[/tex]
So, (0,-4) and (3,0) are two solutions of the given equation. Plot these two points on the coordinate plane and connect them by a straight line.
The required graph is shown below.
please solve each inequality and show you work thank you so much:)
2x – 7 > 3= ?
[tex]\frac{x}{4} +11\geq 8[/tex]= ?
[tex]-6x+7\geq 19[/tex]= ?
-10+4x>50= ?
[tex]\frac{x}{-2}[/tex]-17>-13= ?
[tex]8-2x\leq 46[/tex]= ?
[tex]-13x+1\leq -25[/tex]= ?
[tex]-7+\frac{x}{3} \ \textgreater \ -4[/tex]= ?
[tex]-9x-19\geq 17[/tex]= ?
[tex]16-x\ \textgreater \ 9[/tex]= ?
Answer:
1) [tex]\boxed{x > 5}[/tex]
2) [tex]\boxed{x \geq -12}[/tex]
3) [tex]\boxed{x \leq -2}[/tex]
4) [tex]\boxed{x > 15}[/tex]
5) [tex]\boxed{x < -8}[/tex]
6) [tex]\boxed{x \geq -19}[/tex]
7) [tex]\boxed{x \geq 2}[/tex]
8) [tex]\boxed{x > 9}[/tex]
9) [tex]\boxed{ x \leq - 4}[/tex]
10) [tex]\boxed{x < 7}[/tex]
Step-by-step explanation:
1) [tex]2x-7 > 3[/tex]
Adding 7 to both sides
=> 2x > 3+7
=> 2x > 10
Dividing both sides by 2
=> x > 5
2) [tex]\frac{x}{4} + 11 \geq 8[/tex]
Subtracting 11 to both sides
[tex]\frac{x}{4} \geq 8 -11\\\frac{x}{4}\geq -3[/tex]
Multiplying both sides by 4
x ≥ -3 * 4
x ≥ -12
3) -6x+7 ≥ 19
Subtracting 19 to both sides
=> -6x ≥ 19-7
=> -6x ≥ 12
Dividing both sides by -6
=> x ≤ -2
4) -10 + 4x > 50
Adding 10 to b.s
=> 4x > 50+10
=> 4x > 60
Dividing b.s by 4
=> x > 15
5) [tex]\frac{x}{-2} - 17 > -13[/tex]
[tex]\frac{x}{-2} - 17 > -13\\Adding \ 17 \ to \ both \ sides\\\\\frac{x}{-2} > -13+17\\\\\frac{x}{-2} > 4\\Multiplying both sides by -2[/tex]
=> x < 4*-2
=> x < -8
6) 8 - 2x ≤ 46
Subtracting 8 from b.s
=> -2x ≤ 46-8
=> -2x ≤ 38
Dividing b.s by -2
=> x ≥ -19
7) -13x+1 ≤ -25
Subtracting 1 from both sides
=> -13x ≤ -25-1
=> -13x ≤ -26
Dividing both sides by -13
=> x ≥ 2
8) [tex]-7 + \frac{x}{3} > -4[/tex]
Adding 7 to b.s
=> x/3 > -4+7
=> x/3 > 3
Multiplying 3 to b.s
=> x > 3*3
=> x > 9
9) -9x-19 ≥ 17
Adding 19 to both sides
=> -9x ≥ 17+19
=> -9x ≥ 36
Dividing both sides by -9
=> x ≤ -4
10) 16 - x > 9
Adding x to both sides
=> 16 > 9 + x
Subtracting 9 from both sides
=> 16 - 9 > x
=> 7 > x
OR
=> x < 7
NOTE: Whenever, we divide the inequality by a negative signed term, the inequality changes to its opposite.
Answers:
[tex]\boxed{x > 5}\\ \boxed{x \geq -12}\\\boxed{x \leq -2}\\\boxed{x > 15}\\\boxed{x < -8}\\\boxed{x \geq -19}\\ \boxed{x \geq 2}\\\boxed{x > 9}\\\boxed{ x \leq -4}\\ \boxed{x < 7}[/tex]
Step-by-step explanation:
2x - 7 > 3
2x > 10
x > 5
x/4 + 11 ≥ 8
x/4 ≥ -3
x ≥ -12
-6x + 7 ≥ 19
-6x ≥ 12
x ≤ -2
-10 + 4x > 50
4x > 60
x > 15
-x/2 - 17 > -13
-x/2 > 4
-x > 8
x < -8
8 - 2x ≤ 46
-2x ≤ 38
x ≥ -19
-13x + 1 ≤ -25
-13x ≤ -26
x ≥ 2
-7 + x/3 > -4
x/3 > 3
x > 9
-9x -19 ≥ 17
-9x ≥ 36
x ≤ -4
16 - x > 9
-x > -7
x < 7
Write an expression to describe the sequence below. Use n to represent the position of a term in the sequence, where n = 1 for the first term. 50, 100, 150, 200, .
Answer:
50n
Step-by-step explanation:
This problem can be solved using concept of Arithmetic progression(AP)
In AP series
the series increases or decreases by certain number which is called common difference.
common difference d is given by
d= nth term - (n-1)th term
nth term = a + (n-1)d
where a is the first term of the series
thus series can be a , a+d, a+2d, a+3d, a+4d, ...........a + (n-1)d
_______________________________________
Given series
50, 100, 150, 200
a = 50
to find d lets use 3rd term as nth term and 2nd term as (n-1)th term
d = 150 -100 = 50
Thus,
nth term = 50 + 50(n-1) = 50 + 50n -50 = 50n
50n can represent the position of the term of the sequence.
To validate this lets put n = 4
50*4 = 200 which is the same as the fourth term given in the series.
hence our solution is correct.
Which of the following represents the factorization of
the binomial below?
25x2 - 64y2
A. (5x - 8y)(5x-8y)
B. (5x + 8y) (5x + 8y)
C. (5x - y)(x + 8y)
D. (5x - 87)(5x + 8y)
I need number 5 done can someone help me please I need it done ASAP
Answer: B
Step-by-step explanation:
(4/3) x 3.14 x 3.7^3
Plug into a calculator
212.067
Brainliest would be appericiated!
If f(x) = -15x + 3, then f^-1(x) =
Answer:
f^-1(x) is - (x -3)/15
Step-by-step explanation:
f(x) = -15x + 3
To find f^-1(x) equate f(x) to y
That's
y = f(x)
Which is
y = -15x + 3
Next interchange the terms x becomes y and y becomes x
That's
x = - 15y + 3
Make y the subject
We have
-15y = x - 3
Divide both sides by - 15
We get
y = x-3/-15
y = - x - 3/15
Therefore f^-1(x) is - (x -3)/15
Hope this helps you
Here is a list of numbers:
2, 13, 13, 6, 10,4 16,14,20
State the median.
Answer:
Median = 13
Step-by-step explanation:
Arranging it in ascending order:
=> 2,4,6,10,13,13,14,16,20
Median is the middlemost no.
So,
=> Median = 13
One of the sides of a parallelogram has a length of 5 in. Can the lengths of the diagonals be: 4 in and 3 in?
Answer:
No
Step-by-step explanation:
Pls help guys: Find the perimeter of rectangles which measure: 9m x 12.6m.and also I need help with this so: complete the table of measurements of triangles. Base. 12cm. 12cm. 30.5cm. Height. 15cm. 32cm Area. 60cm2 72cm2. 112.5cm2 122cm2 160cm2 Fill in the blanks pls and also tell me why it is. I will mark brainliest if you help me for real
Answer:
1. perim is 43.2
2. where are the blanks? dont see any
Step-by-step explanation:
Which rule describes the composition of
transformations that maps
ABC to A'B'C"?
Answer:
translation
Step-by-step explanation:
Please help, just answer this question.
Answer:
[tex] - \frac{5}{2} [/tex]Given that,
Slope of line A=2/5
We know that , slope of perpendicular line is product of slopes.
i.e. M1 • M2=-1
[tex] m1 = \frac{2}{5} \: \: [/tex]
m2=?
Now,
[tex] \frac{2}{5} \times m2 = - 1 \\ or \: m2 = - 1 \times \frac{5}{2} \\ \: m2 = - \frac{ 5}{2} [/tex]
Therefore, Slope of line B is -5/2.
Hope this helps..
Good luck on your assignment..
[tex]g(x) = 3x - 6[/tex]and
[tex] {g}^{ - 1}(x) = \frac{x + 6}{3} [/tex]. With g(x) and
[tex] {g}^{ - 1}(x)[/tex], find
[tex] {g}^{ - 1}(g(10))[/tex]. Make sure to show your work.
Hey there! :)
Answer:
[tex]g^{-1} (g(10))=10[/tex]
Step-by-step explanation:
Begin by calculating g(10):
g(x) = 3x - 6
Substitute in 10 for x:
g(10) = 3(10) - 6
g(10) = 30-6
g(10) = 24.
Plug '24' into 'x' into [tex]g^{-1} (x)[/tex]
[tex]g^{-1} (24)=\frac{(24) + 6}{3}[/tex]
Simplify:
[tex]g^{-1} (24)=\frac{30}{3}[/tex]
[tex]g^{-1} (24)=10[/tex]
Points O, A, B lie on the same line. OA = 12 cm, OB = 9 cm. Find the distance between the midpoints of segments OA and OB if point O lies on the segment AB?
Answer: 1.5cm
Step-by-step explanation:
12-9=3 because it is midpoint 3/2=1.5
The Grade 8 students held a graduation dance.
Four out of 7 students attended.
There are 112 Grade 8 students.
How many students attended the dance?
**In the blank ONLY write the number, no words/sentences, for example if the
answer is 4 students are going in the blank type: 4
Answer:
64
Step-by-step explanation:
4/7
16x7= 112
4x16=64
What is the value of X in the equation..[tex]\frac{8}{5}x+5=-19[/tex]
PLS SHOW WORK!
Answer:
8/5x + 5 = -19
8/5x = -24 (Subtract 5)
x = -15 (Multiply by 5/8)
3^x+x³=17
solve for x
Answer:
Hello!
~~~~~~~~~~~~~~~
3^x+x³=17
= x = 2
Step-by-step explanation: Graph each side of the equation. The solution is the x - value of the point of intersection.
Hope this helped you! Brainliest would be nice! ❤︎