Answer:
3 units to the right
Step-by-step explanation:
Given f(x) then f(x + a) represents a horizontal translation of f(x)
• If a > 0 then a shift of a units to the left
• If a < 0 then a shift of a units to the right
Thus
g(x) = (x - 3)² is f(x) shifted to the right by 3 units
Name the values represented by the box plot.
Lower quartile:
Upper quartile:
Median:
Answer:
Lower quartile=46
Upper Quartile=52
Median=48
Step-by-step explanation:
Look at the three dots on/in the plot the first one is the lower quartile and the middle is the median and the last one in the box plot (52)is the upper quartile, the ones on the outsides are the minimum and the maximum.
Can someone help with step by step
Answer:
See explanation
Step-by-step explanation:
[tex] In\: \triangle ABC \:\&\: \triangle EDC\\
\angle ABC \cong \angle EDC... (Right \: \angle s) \\
\angle ACB \cong \angle ECD... (Vertical \: \angle s) \\\therefore \triangle ABC \sim \triangle EDC... (By\: AA\: Postulate) \\[/tex]
What is the probability of spinning a 1 and flipping heads
Answer:6/11
Step-by-step explanation:
The probability of spinning a 1 and flipping a heads is given by the equation A = 1/10
What is Probability?The probability that an event will occur is measured by the ratio of favorable examples to the total number of situations possible
Probability = number of desirable outcomes / total number of possible outcomes
The value of probability lies between 0 and 1
Given data ,
Let the probability of spinning a 1 and flipping a heads be A
Now , the equation will be
The total number of values in the spinner = { 1 , 2 , 3 , 4 , 5 }
So , the number of possible outcomes = 5
The probability of spinning a 1 = 1 / number of possible outcomes
Substituting the values in the equation , we get
The probability of spinning a 1 = 1/5
The number of outcomes for flipping a coin = { heads , tails }
Now , the probability of flipping a head = 1/2
So , the probability of spinning a 1 and flipping a heads A = probability of spinning a 1 x probability of flipping a head
Substituting the values in the equation , we get
The probability of spinning a 1 and flipping a heads A = ( 1/5 ) ( 1/2 )
On simplifying the equation , we get
The probability of spinning a 1 and flipping a heads A = 1/10
The probability of spinning a 1 and flipping a heads A = 0.1
Hence , the probability is 1/10
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Ben makes $39,600 a year. What the maximum amount he can afford for a mortgage each month ?
Answer:825
Step-by-step explanation:
Solve for x.
x + 23 = -22
Enter your answer in the box.
Answer:
X= -45
Step-by-step explanation:
Subract 23 from both sides to solve for x.
Answer:
x = -45
Step-by-step explanation:
x + 23 = -22
x = -22-23
x = -45
What is the slope line through (-5,-10) and (-1,5)
Answer:
5
Step-by-step explanation:
what is the 50th term of the sequence that begins -2, 4, 10, 16
290
294
292
296
Answer: 292
Step-by-step explanation:
The formula is: [tex]a_n=a_1+(n-1)d[/tex]
Where;
[tex]a_n=[/tex] [tex]n^t^h[/tex] term or the term we're trying to find.
[tex]a_1=[/tex] First term
[tex]d=[/tex] Common difference.
To find the common difference, take [tex]a_2-a_1[/tex], or [tex]a_3-a_2[/tex] or [tex]a_4-a_3[/tex]
4-(-2)=?
4+2=?
6 -> this is our common difference
---------------------------------
10-4=?
6 -> this is our common difference
--------------------------------
16-10=?
6 -> this is our common difference
------------------------------------------------------------
Knowing this, we plug into the formula the number we're trying to find.
[tex]a_n=a_1+(n-1)d\\a_5_0=-2+(50-1)6\\a_5_0=-2+(49)6\\a_5_0=-2+294\\a_5_0=292[/tex]
Answer:
C. 292
Step-by-step explanation:
Please help me!! I don't get this question! I will mark Brainliest!
Circle A has a diameter of 4 inches, a circumference of 12.56 inches, and an area of 12.56 square inches. The diameter of circle B is 2 inches, the circumference is 6.28 inches, and the area is 3.14 square inches. SHOW ALL STEPS.
Part A: Using the formula for circumference, solve for the value of pi for each circle. (10 points)
Part B: Use the formula for area and solve for the value of pi for each circle. (10 points)
Part C: What observation can you make about the value of pi for circles A and B? (10 points)
Answer:
Part A:
Formula for circumference: C = diameter x pi
=> pi = C/diameter
=> pi(A) = 12.56/4 =3.14
=> pi(B) = 6.28/2 = 3.14
Part B:
Formula for area: A = radius^2 x pi = (diameter/2)^2 x pi
=> pi = A/(diameter/2)^2
=> pi(A) = 12.56/(4/2)^2 = 12.56/4 = 3.14
=> pi(B) = 3.14/(2/2)^2 = 3.14/1 = 3.14
Part C:
pi(A) = pi(B) = 3.14 in both ways of calculation derived from circumstance and area.
=> pi is a constant value: 3.14
Answer:
A) pi = 3.14
B) pi = 3.14
C) pi has the same value for all calculations, pi is a constant
Step-by-step explanation:
Circumference = pi × d
12.56 = 4 × pi
pi = 3.14
6.28 = 2 × pi
pi = 3.14
Area = pi × r²
12.56 = pi × (4/2)²
12.56 = 4pi
pi = 3.14
3.14 = pi × (2/2)²
3.14 = pi
Answe the photo and I’ll mark brainliest
Answer:
A ( 1.5, 6 ), B ( 15, 33 ), Slope ⇒ 2
Step-by-step explanation:
We are given the line y - 2x = 3;
For the value 6, let us substitute this value in terms of y such to compute the value of x on the line y - 2x = 3;
6 - 2 * x = 3 ⇒ Subtract 6 on either side,
-2 * x = - 3 ⇒ Divide - 2 on either side of equation
x = 1 and 1 / 2 for y = 6,
Solution; A ( 1.5, 6 )
Now for the value 15, let us substitute this value in terms of x to compute the value of y on the line y = 2x - 3;
y - 2 * ( 15 ) = 3 ⇒ Multiply 15 by 2,
y - 30 = 3 ⇒ Add remaining terms,
y = 33 for x = 15,
Solution; B ( 15, 33 )
To determine the slope of this we could take the formula ( y2 - y1 )/ ( x2 - x1 ) for the two points we have derived or, for simplicity, take a look at the format of the equation;
y - 2x = 3 ⇒ Convert to point slope form, in format y = ax + b, where a ⇒ slope, and b ⇒ y - intercept
y = 2x + 3, ⇒ Solution; Slope ⇒ 2
bz is tangent to circle o. ac is a diameter. mbc=90. mcd=30. mde=20.
state the theorem(s) that you used to find the measures of angles 1-10.
Answer:
1. Arc angle
2. Angle at circumference
3. Base angle of an isosceles triangle
4. Sum interior of angles in a triangle
5. Sum interior of angles in a triangle
6. The sum of angles on a straight line
7. Sum interior of angles in a triangle
8. Sum interior of angles in a triangle
9. Angle from a tangent to the radius of a circle
10. Alternate angles of line crossing two parallel lines
Step-by-step explanation:
Here, we note that, the angles where derived as follows;
1. mBC = 90°, therefore, angle subtended by the arc BC at the center of the circle = 1 = 90°
2. 90° The angle at the center which is the straight line diameter with angle 180° = 2 × angle at the circumference
∴ The angle at the circumference, angle 2 = 180°/2 = 90°
3. Angle subtended by the sum of arcs CD + DE at the center = 50°, therefore, ∡EOC = 50° and ∡EOA = 180° - 50° = 130° (the sum of angles on a straight line), since ΔAOE is an isosceles triangle, therefore, ∡OAE = ∡OEA = (180° - 130°)/2 = 25°
4. ∡A + ∡E + ∡C = 180° (Sum interior of angles in a triangle)
∴ 25° + 90° + ∡C = 180°
Hence ∡C = 180° - (90° + 25°) = 65°
5. From arc CD = 30°, ∡COD = 30°, ∴ ∡OBD = 30° = base angle of isosceles triangle with sides equal to the radius
Hence ∡8 = 30° from ∡8 + ∡1 + ∡OBD = 180° which gives
∡8 + 90° + 30° = 180°, hence;
∡8 = 180° - (90° + 30°) = 60°
∡8 = opposite ∡8 = 60°
Opposite ∡8 + ∡C + ∡5 = 180° (Sum interior of angles in a triangle)
Therefore ∡5 = 180° - (opposite ∡8 + ∡C) = 180° - (60° + 65°) = 55°
6. Angles 6 plus angle 5 = 180° (The sum of angles on a straight line)
Therefore, ∡6 = 180° - ∡5 = 180° - 55° = 125°
7. ∡7 + opposite ∡5 + ∡E = 180° (Sum interior of angles in a triangle)
∡E + ∡2 = 180° (The sum of angles on a straight line)
∴ ∡E = 180° - ∡2 = 180° - 90° = 90°
Hence, ∡7 + opposite ∡5 + ∡E = 180° = ∡7 + 55° + 90° = 180°
∴ ∡7 = 35°
8. ∡8 = 60° as found above
9. ∡9 = 90° (Angle from a tangent to the radius of a circle)
10. ∡10 = ∡8 = 60° (Alternate angles).
what is the value of x and y
Answer:
x = 10.6
y = 10.6
Step-by-step explanation:
To answer this question you will need to use trigonometry. If you don't already have an understanding of trigonometry, this will be very hard to explain. please let me know in the comments if you would like me to give it a go.
I hope this was helpful :-)
5n + 5= 45 Please help...
constant=_, coefficient=_
Answer:
Step-by-step explanation:
5n + 5 = 45
Coefficient of n = 5
Constant = 5 & 45
Answer:
a numerical or constant quantity placed before and multiplying the variable in an algebraic expression (e.g. 4 in 4x y)
Coefficient of n = 5
In Algebra, a constant is a number on its own, or sometimes a letter such as a, b or c to stand for a fixed number. Example: in "x + 5 = 9", 5 and 9 are constants.
Constant = 5 & 45
polynomial division
(4x^2 +7x +6) ÷(x+ 2)
Answer:
4x2 + 7x - 6
————————————
x - 2
Step-by-step explanation:
Answer:
Step-by-step explanation:
There are many methods but I give you the factorisation:
[tex]4x^{2} +7x+6= 4x^{2} + 8x - x - 2 +8= (4x^{2} + 8x )- (x + 2) +8\\= 4x(x+2)-(x+2) -8\\=(x+2)(4x-1) +8[/tex]
So
[tex]\frac{4x^{2} +7x+6}{x+2}=\frac{(x+2)(4x-1)+8}{x+2} =\frac{(x+2)(4x-1)}{x+2}+\frac{8}{x+2}\\ \\=4x-1 +\frac{8}{x+2}[/tex]
That means the quotient is 4x-1 and the remainder is 8.
Which of these groups of values plugged into the TVM Solver of a graphing calculator will return the amount of a 20-year loan with an APR of 19.2%, compounded monthly, that is paid off with monthly payments of $510? site:brainly.com
Answer:
my answer was B.
Step-by-step explanation:
I chose C and i got it wrong
What is the area of the triangle shown below?
Answer:
65
Step-by-step explanation:
In order to find the area you have to complete a formula for triangles going Area = 1/2 bh ( bh means base time the height height is the 13 and the base is the 10 in the photo.)
Tomas selects one of these garments at random. Let AAA be the event that he selects a blue garment and let BBB be the event that he chooses a shirt.
Please help!!!
Answer:
can u explain it more lol
Step-by-step explanation:
1)The probability of choosing a blue garment is 1/2
2)The probability of choosing a shirt is 1/3.
Thomas has 1 blue shirt
Thomas has 1 green shirt
Thomas has 1 blue hat
Thomas has 1 green scarf
Thomas has 1 blue pair of pants
Thomas has 1 green pair of pants
So, number of blue garments = 3
Number of shirts = 2
Total garments =6
What is probability?Probability is the measure of the likelihood of an occurrence.
P(event) = Favorable outcomes / Total outcomes
P(blue garment) = 3/6 =1/2
P(shirt) = 2/6 =1/3
Hence, 1)The probability of choosing a blue garment is 1/2
2)The probability of choosing a shirt is 1/3.
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Use the Counting Principle to find the probability.
rolling a 1 on each of 4 number cubes?
Answer:
1 / 1296
Step-by-step explanation:
Rolling a 1 for one of the cubes is 1 / 6
1 / 6 * 1 / 6 * 1 / 6 * 1 / 6 = 1 / 1296
Answer:
1 / 1296
Step-by-step explanation:
We have been given that three cubes are being rolled and we are required to find the probability of getting 4 on 1 cubes.
We know the probability of rolling a 4 on one cube will be . the probability of rolling 4 in each of the individual cubes will be .
But we want 4 to be rolled on 1 cubes at once, in order for that to happen, we need to get a four on first cube AND second cube AND third cube. Since there is AND between the events, we will multiplied their probabilities as per counting principle. Thus, the required probability of rolling 4 on each of the 1 cube is which simplifies to . 1 / 1296
Hope this helps
a box measures 1/3 ft.long, 1/4 ft. wide, and 1/6 ft. high. find the volume of the box in inches. do not incluye units in your answer
Answer:
23 in
Step-by-step explanation:
Convert the stuff they gave you to inches 4*3*2= 23
then use the volume formula
i hope this helped <33
Melanie's bedroom floor has length equal to 6x + 5 and width equal to 9x – 2 points
4. What equation represents the area of the floor?
Answer:
(6x+5)(9x-2)
Step-by-step explanation:
Area = Length x Width
Answer:
54[tex]x^{2}[/tex] +33x - 10
Step-by-step explanation:
you have to use F.O.I.L. First Outter Inner Last
(6x + 5)(9x - 2)
First (6x)(9x) = 54 [tex]x^{2}[/tex]
Outter (6x)(-2) = -12x
Inner (5)(9x) = 45 x
Last (5)(-2) = -10
combine middle terms
54[tex]x^{2}[/tex] +33x - 10
Please Help!!! As quickly as possible!!!
Answer: Bristol's heart rate reaches a maximum of 120
bpm
Step-by-step explanation:
Answer:
Bristol's heart rate reaches a maximum of 120 bpm
At the end of yoga class, Bristol's heart rate returned to her resting heart rate
The graph that models Bristol's heart rate is a parabola
Step-by-step explanation:
Simplify the expression
Answer:
x^(3)y^(4)\sqrt(2)
Step-by-step explanation:
What is the point-slope form of a line with slope -3 that contains the point
(10,-1)?
A. y+ 1 = 3(x + 10)
B. x + 1 = -3(y-10)
C. y + 1 = -3(x-10)
D. y + 1 = 3(x-10)
Answer:
C
Step-by-step explanation:
Since we have a point and a slope, we can use the point slope formula.
The point slope formula is:
[tex]y-y_{1} =m(x-x_{1})[/tex]
where m is the slope, and (x1, y1) is the point given.
We know that the slope is -3, and the point given is (10, -1)
Therefore, our m is -3, x1 is 10, and y1 is -1.
y- -1 = -3(x-10)
y--1 is the same as y+1
y+1= -3(x-10)
Therefore, choice C is correct.
The square root of a number is between 5 and 6. Which of the following could be the
number? Select all that apply.
42
26
31
11
Answer:
26 and 31
Step-by-step explanation:
The square root of 26 is between 5 and 6, and so is the square root of 31.
If A = (0,0) and B = (6,3), what is the length of AB?
O A. 6.24 units
O B. 7.73 units
O C. 5.20 units
O D. 6.71 units
Answer:
D. 6.71 units
Step-by-step explanation:
In order to solve this, we need to use the distance formula, which states that for two points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]:
d = [tex]\sqrt{(y_2-y_1)^2+(x_2-x_1)^2}[/tex]
Here, we have (0, 0) and (6, 3), so:
d = [tex]\sqrt{(y_2-y_1)^2+(x_2-x_1)^2}[/tex]
d = [tex]\sqrt{(3-0)^2+(6-0)^2}=\sqrt{9+36} =\sqrt{45} =3\sqrt{5}[/tex] ≈ 6.71
The answer is thus D.
Answer:
D 6.71 units
Step-by-step explanation:
AB² = (6 - 0)² + (3 - 0)²
AB² = 36 + 9
AB² = 45
AB = 3sqrt(5)
Approximately 6.71
Answer Choices:
y= x + 10; linear
y= x + 10; non linear
y= 10x + 1; linear
y= 10x + 1; nonlinear
C. =10x+1
y-intercept is 1 because it is the start up cost. 10 is the factor because it says "$10 a month" The variable x is the months
Please help me out! i have a few more of these questions, about 5
Answer: You could plot the points (0,-2) ( 1,0) ( 2,2) (3,4) ( 4,6) (5,8) ( -1,-4) (-2.-6)
Step-by-step explanation:
y= 2x - 2
x y
0 -2
1 0
2 2
3 4
4 6
5 8
-1 -4
-2 -6
A dice was rolled five times and the following were rolled: 1, 3, 3, 4, 4
Based on this information, find the experimental P(1).
Answer:
1/5
Step-by-step explanation:
the 5 is the total number of times he tried
the 1 is how many times he rolled a 1
What is cosA?
a. 12/13
b. 5/13
c. 5/12
Find the value of x and y. WILL MARK BRAINLIEST
Answer:
y = 15
x = 30
Step-by-step explanation:
Answer:
y = 15
x = 30
Step-by-step explanation:
Since adjacent are equal, that means all 4 angles are equal to 90 degrees
6y = 90
Divide by 6
6y/6 = 90/6
y = 15
3x = 90
Divide by 3
3x/3 = 90/3
x = 30
Select the table that represents a linear function.
Answer:
D
Step-by-step explanation:
A linear function has a constant slope. Meaning that for any equal change in x, there will be an equal change in y.