Answer:
x = 5 and x = 11
Step-by-step explanation:
The segment through the center is a perpendicular bisector of the chord, thus
5x - 6 = 2x + 9 ( subtract 2x from both sides )
3x - 6 = 9 ( add 6 to both sides )
3x = 15 ( divide both sides by 3 )
x = 5
-------------------------------------------------------
Tangents to a circle from an external point are congruent, thus
4x - 1 = 3x + 10 ( subtract 3x from both sides )
x - 1 = 10 ( add 1 to both side
Answer:
x = 5 and x = 11
Step-by-step explanation:
The segment through the centre is a perpendicular bisector of the chord, thus
5x - 6 = 2x + 9 ( subtract 2x from both sides )
3x - 6 = 9 ( add 6 to both sides )
3x = 15 ( divide both sides by 3 )
x = 5
-------------------------------------------------------
Tangents to a circle from an external point are congruent, thus
4x - 1 = 3x + 10 ( subtract 3x from both sides )
x - 1 = 10 ( add 1 to both sides )
x = 11
I NEED HELP PLEASE !!! :(
Answer:
11^5/3
Step-by-step explanation:
when you move the 5 over to the right, it always goes above the other exponent. if that makes sense? I use this shortcut.
another way of showing is:
[tex]x\frac{a}{b} = \sqrt[b]{x^a}[/tex]
Answer:
[tex]11^{\frac{3}{5} }[/tex]
Step-by-step explanation:
Proof:
The power of a fraction is:
[tex]x^{\frac{a}{b} } =\sqrt[b]{x^{a} }[/tex]
what is x? answer fast please!
Answer:
[tex]\Huge \boxed{{x=15\°}}[/tex]
Step-by-step explanation:
Angles on a straight line add up to 180 degrees.
We can create an equation.
x + 165 = 180
Solve for x.
Subtract 165 from both sides.
x + 165 - 165 = 180 - 165
Simplify the equation.
x = 15
Answer:
15°
Step-by-step explanation:
Angle of a line with a center is 180°
To find x:
x = 180 - 165°
x = 15°
15° is the answer.
The area of this rectangle is 5x squaredWhat does the coefficient 5 mean in terms
of the problem?
width x
length 5x
A. The total area of the square is 5.
B. The width is 5 times the length.
ОО
C. The length is 5.
D. The length is 5 times the width.
Answer:
D. The length is 5 times the width
because width is x
and the length is x x x x x
If a fish experiences an acceleration of 9.8 m/s^2 over a period of 1.4s (It must be falling), then what is its change in velocity?
Answer:
Change In velocity= 13.72 ms^-1
Step-by-step explanation:
fish experiences an acceleration of
9.8 m/s^2 over a period of 1.4s
Change in velocity/time= acceleration
Time in seconds= 1.4 s
Acceleration in meter per second square= 9.8 m/s^2
Change in velocity/time= acceleration
Change In velocity= acceleration*time
Change In velocity= 9.8*1.4(m/s^2 *s)
Change In velocity= 13.72 ms^-1
Choose the product of
(3+v7)(3-7)
Answer:
In descending order, you answer would be (70v - 18). Hope this helps!
Step-by-step explanation:
Answer:
the answer is C on edge
Step-by-step explanation:
Hello please help me
Idk if the answer is 16 or 19
4 - 16 ÷ 4 + 4²
Answer:
4 - 16 ÷ 4 + 4² =
Step-by-step explanation:
= 4 - 16 ÷ 4 + 4²
= 4 - 16 ÷ 4 + 16
= 4 - ( 16 ÷ 4 ) + 16
= 4 - 4 + 16
= 16
5. Which equation in point-slope form contains the point (4, –1) and has slope 3?
Answer:
y+1 = 3(x-4)
Step-by-step explanation:
Point slope form is
y-y1 = m(x-x1) where m is the slope and (x1 , y1) is a point on the line
y - -1 = 3(x-4)
y+1 = 3(x-4)
Which graph shows a proportional relationship?
Answer:
The second option
Step-by-step explanation:
The rate of change needs to stay constant.
The rate of change can be explained by looking at the "rise" (y) over the "run"(x)
The rate of change for the second option is 2. We know this because...
Rise(2)
----------
Run(1)
Try looking at one of the points, now go up 2 and over 1, you should now be at the second point, do it again but twice, you should now be at the third point. A proportional relationship must also go through the origin (0,0)
THE SEVEN APPLEWOMEN
Seven apple women, possessing respectively 20, 40, 60, 80, 100, 120, and 140
apples, went to market and sold all their apples at the same price, and each
received the same sum of money. What was the price?
Answer:
The amount each took home was 20 unit currency.
Step-by-step explanation:
The given parameters are
The number of apples with each of the seven apple women = 20, 40, 80, 100, 120, and 140
The number of apples each woman has can be written in the following formula obtained online which is a series formula
a·n + (n - 1), (a + b)·n + (n - 2), (a + 2·b)·n + (n - 3), (a + 3·b)·n + (n - 4), (a + 4·b)·n + (n - 5), (a + 5·b)·n + (n - 6), (a + 6·b)·n + (n - 7)
Which gives;
a·n + (n - 1) = 20
(a + b)·n + (n - 2)=40
(a + 2·b)·n + (n - 3) = 60
(a + 3·b)·n + (n - 4) = 80
(a + 4·b)·n + (n - 5) = 100
(a + 5·b)·n + (n - 6) = 120
(a + 6·b)·n + (n - 7) = 140
Solving the above system, we get
n = 7, a = 2, b = 3
Which gives
2×7 + 6 = 20
5×7 + 5=40
8×7 + 4 = 60
11×7 + 3 = 80
14×7 + 2 = 100
17×7 + 1 = 120
20×7 + 0 = 140
Whereby all the women sold the apples for the same sum price, based on market pricing if groups of apples are sold at 1 unit currency for 7, and extras are sold for 3 unit currency per extra 1, we have the amount taking home by each of them given as follows;
2×1 + 6×3 = 20
5×1 + 5×3=20
8×1 + 4×3 = 20
11×1 + 3×3 = 20
14×1 + 2×3 = 20
17×1 + 1×3 = 20
20×1 = 20
Therefore, the amount each took home was 20 unit currency.
What is the probability of randomly picking a five-digit number whose leftmost digit is 1 and units digit is 9 from all the odd five-digit numbers that have different digits? 1/80 1/40 1/25 1/20 1/10
Answer:1/25
Step-by-step explanation: do 5 to the second power which will get all combinations then do 1 as the numerator over the denominator which is the number of combinations.
Jaycee Alvarez deposits $425 in a savings account at City Bank. The account pays an annual interest rate of
5.5 percent. She makes no other deposits or withdrawals. After three months the interest is calculated. How
much simple interest does her money earn?
Answer: $5.84
Step-by-step explanation:
Simple interest is calculated using the formula: PRT/100
where P = principal = $425
R = rate = 5.5%
T = time = 3/12 = 1/4 = 0.25
S.I = PRT/100
= (425 × 5.5 × 0.25)/100
= $584.375/1000
= $5.84
uhh pls help lol i’m confused
Answer:
50°
Step-by-step explanation:
angle ABE and angle CBD are vertical angles and has same measure so <ABE = 50°
Which sign makes this number sentence true?
|-56| __ |56|
A. >
B. <
C. =
D. x
Answer:
C) =
Step-by-step explanation:
I -56I = I56I
Absolute value of a number I X I is always non-negative value
Value of I -2 I = 2 & I 2I = 2
Answer:
C
Step-by-step explanation:
Since they are absolute value, they are both the same distance from zero
If f(x) = 7x6cos-1x, find f '(x).
Answer:
F(x)=g'(x)h(X)+g(x)h'(x)
F(x)=90x9tan-1-[9*10/(1+x2)}
The derivative of f(x) is f'(x) = 42x⁵ * cos⁻¹(x) - 7x⁶ / (√(1 - x²))
To find the derivative of the function f(x) = 7x⁶ * cos⁻¹(x), we'll use the chain rule and the power rule of differentiation.
The chain rule states that if we have a function of the form f(g(x)), then its derivative is given by f'(g(x)) * g'(x).
Let's break down the function f(x) into two parts:
u(x) = 7x⁶
v(x) = cos⁻¹(x)
Now, we'll find the derivatives of u(x) and v(x):
u'(x) = d/dx (7x⁶) = 6 * 7x⁵ = 42x⁵
To find v'(x), we differentiate cos⁻¹(x) using the inverse trigonometric differentiation formula:
d/dx [cos⁻¹(x)] = -1 / (√(1 - x²))
Now, applying the chain rule to the function f(x) = 7x⁶ * cos⁻¹(x), we get:
f'(x) = u'(x) * v(x) + u(x) * v'(x)
f'(x) = 42x⁵ * cos⁻¹(x) + 7x⁶ * (-1 / (√(1 - x²)))
So, the derivative of f(x) is:
f'(x) = 42x⁵ * cos⁻¹(x) - 7x⁶ / (√(1 - x²))
To know more about derivative:
https://brainly.com/question/32963989
#SPJ2
0.580 repeating as a fraction
Answer:
Write out your decimal as the numerator of a fraction:
0.50 /1
Multiply to remove the 2 decimal places:
0.50 /1 × 100 /100= 50 /100
Find the Greatest Common Factor of 50 and 100:
GCF is 50
Divide both numerator and denominator by 50:
50 ÷ 50
100 ÷ 50 = 1 /2
therefore your answer is 1/2
Hope this helps! (づ ̄3 ̄)づ╭❤~
Answer:
115/198
Step-by-step explanation:
The correct answer is 115/198.
The length of a rectangle is 3 more than twice the width. The area of the rectangle is 119 square inches. What are the dimensions of the rectangle
Find P (Junior|Girl) Hint: P(A and B)
P(B)
Classroom of Students
Boys Girls
Freshman
4 48
Sophomore S 17 12
Junior 2 3 5
Senior 4 5
12 18
Reduce your fraction to lowest terms.
Enter the number that belongs in the green box.
Enter
1
====================================================
Explanation:
There are two methods to approach this type of problem.
-------------------------------------
Method 1
A = junior
B = girl
P(A) = probability of selecting a junior
P(B) = probability of selecting a girl
P(B) = (number of girls)/(number total)
P(B) = (4+7+3+4)/(4+4+5+7+2+3+1+4)
P(B) = 18/30
P(B) = 9/15
P(A and B) = probability of selecting a girl who is a junior
P(A and B) = (number of girl juniors)/(number total)
P(A and B) = 3/30
P(A and B) = 1/10
P(A given B) = P(A and B)/P(B)
P(A given B) = (1/10) divided by (9/15)
P(A given B) = (1/10) times (15/9)
P(A given B) = (1*15)/(10*9)
P(A given B) = 15/90
P(A given B) = 1/6
-------------------------------------
Method 2
This method doesn't involve dividing two fractions which could get messy, which is why I find this the easier route. Since we are given the person is a girl, this means we only need to focus on the "girls" column. There are 3 who are juniors out of 4+7+3+4 = 18 total. The probability of selecting a girl junior is 3/18 = 1/6
What is the value of this expression?
(-2)5
Answer:
the answer is -10
Step-by-step explanation:
-2 × 5 = -10
Use this table to construct the function that it represents.
A.f(x) = 4x + 7
B.f(x) = 7x - 4
C.f(x) = -4x-1
D. f(x) = x + 7
Answer:
Option A. f(x) = 4x + 7
Step-by-step explanation:
To obtain the answer to the question, we simply try each of the equation using the first two value of x in the table to see which of them will satisfy the table. This is illustrated below:
For option A
1. f(x) = 4x + 7
x = - 1
f(x) = 4(-1) + 7
f(x) = - 4 + 7
f(x) = 3
2. f(x) = 4x + 7
x = 0
f(x) = 4(0) + 7
f(x) = 0 + 7
f(x) = 0
For option B
1. f(x) = 7x - 4
x = - 1
f(x) = 7(-1) - 4
f(x) = - 7 - 4
f(x) = - 11
2. f(x) = 7x - 4
x = 0
f(x) = 7(0) - 4
f(x) = 0 - 4
f(x) = - 4
For Option C
1. f(x) = -4x - 1
x = - 1
f(x) = -4(-1) - 1
f(x) = 4 - 1
f(x) = 3
2. f(x) = -4x - 1
x = 0
f(x) = -4(0) - 1
f(x) = 0 - 1
f(x) = - 1
For Option D
1. f(x) = x + 7
x = - 1
f(x) = - 1 + 7
f(x) = 6
2. f(x) = x + 7
x = 0
f(x) = 0 + 7
f(x) = 7
From the illustrations made above, only option A satisfy the table.
What is this please answer quick it’s easy
I think you multiply 3/5 times 14. You would get 8.4 pounds which would be 8 2/5.
Question 1 (1 point)
Simplify the expression 167x - x by combining like terms.
a) 166x
b) 167x
c) 167
D) 166x*2
Answer:
a) 166x.
Step-by-step explanation:
167x - x
= 166x.
Answer:
The correct answer is A) 166x
Hoped I helped
Cheeseburgers are two for
$5.00. How much would 5
cheeseburgers cost?
Answer:
5 cheeseburgers would be 12.50
Step-by-step explanation:
5 / 2 is 2.50 , 2.50 for one cheeseburger times 5 is 12.50
Answer: If two cheeseburgers are $5 the then one cheeseburger is 2.50
So 2.50 x 5 is 12.50
So it's 12.50 for 5 cheeseburgers
Marc wants to guess how many marbles are in a box that has a height of 18 inches. He calculates that there are 32 marbles in a height of 5 inches. Approximately how many marbles are in the box?
So every 5 inches in height, there are 32 marbles. You want to know how many marbles there are per 18 inches in height.
[tex]\frac{32}{5} = \frac{x}{18}[/tex]
To get from 5 to 18, you multiply by 3.6.
Do the same thing to the numerator; 32 × 3.6 = 115.2.
Since 0.2 marbles is no marbles, you round down.
There are 115 marbles in the box.
♡ Hope this helps! ♡
❀ 0ranges ❀
the graph models the projected populations, in thousands, of two towns after x years. both towns experience a 1.9% annual growth rate. which equation represents g(x) as a transformation of f(x)?
a. g(x) = f (x+3/5)
b. g(x) = f (x-5/3)
c. g(x) = f (x) + 3/5
d. g(x) = 5/3 * f(x)
Answer:
d. g(x) = 5/3 * f(x)
Step-by-step explanation:
A transformation is the movement of a point from its initial position to a new position. Transforming an object involves transforming all the points in the object. Types of transformation are rotation, reflection, dilation and translation.
From the graph When x = 0, y = f(0) = 30, also when x = 16, y = f(16) = 40
For the graph of g(x), when x = 0, y = g(0) = 50 and when x = 16, y = g(16) = 67
This means that g(x) = 5/3 * f(x), g(0) = 5/3 * f(0) = 5/3 * 30 = 50, also g(16) = 5/3 * f(16) = 5/3 * 40 = 67
Answer:
D.)
Step-by-step explanation:
One number is times a first number. A third number is 100 more than the first number. If the sum of the three numbers is , find the numbers. The three numbers are nothing. (Use a comma to separate answers as needed.)
Question:
One number is 7 times a first number. A third number is 100 more than the first number. If the sum of the three numbers is 505, Find the numbers.
Answer:
The numbers are 45, 315 and 145
Step-by-step explanation:
Represent the three numbers with A, B and C
Required
Find A, B and C
From the first statement;
[tex]B = 7 * A[/tex]
[tex]B = 7A[/tex] --- (i)
From the second;
[tex]C = 100 + A[/tex] ---- (ii)
From the third;
[tex]A + B + C = 505[/tex] ---- (iii)
Substitute 7A for B and 100 + A for C in (iii)
[tex]A + 7A + 100 + A = 505[/tex]
Collect like terms
[tex]A + 7A + A = 505 - 100[/tex]
[tex]9A = 405[/tex]
Divide both sides by 9
[tex]A = 45[/tex]
Substitute 45 for A in (i)
[tex]B = 7A[/tex]
[tex]B = 7 * 45[/tex]
[tex]B = 315[/tex]
Substitute 45 for A in (ii)
[tex]C = 100 + A[/tex]
[tex]C = 100 + 45[/tex]
[tex]C = 145[/tex]
Hence, the numbers are 45, 315 and 145
1. Martha can paint a room in 2 hours. Jamie can paint the same room in 6
hours. How long, to the nearest tenth of an hour, will it take them to paint
the room together?
2. Sally can paint a room in 4 hours. Joe can paint a room in 6 hours. How
long will it take if they paint the room together?
3. Nicole can paint a room in six hours, Alexandra can paint a room in 5 hours,
and Liana can paint a room in 4 If all three work together, how long
will it take them to paint the room?
4. Jake can paint a room in 7 hours, and Karen can paint the same room in 5
hours. How long will it take to paint the room if they work together?
Answer:
3. 60/37 hours
4. 35/12 hours
Step-by-step explanation:
3.
Nicole: 1 room in 6 hours; in 1 hour: 1/6 room
Alexandra: 1 room in 5 hours; in 1 hour: 1/5 room
Liana: 1 room in 4 hours; in 1 hour: 1/4 room
Combined in 1 hour:
1/6 + 1/5 + 1/4
When they work together, they paint a room in x hours.
In 1 hour: 1/x room
1/6 + 1/5 + 1/4 = 1/x
10/60 + 12/60 + 15/60 = 1/x
37/60 = 1/x
x = 60/37
Answer: 60/37 hours
4.
Jake: 1 room in 7 hours; in 1 hour: 1/7 room
Karen: 1 room in 5 hours; in 1 hour: 1/5 room
Combined in 1 hour:
1/7 + 1/5
When they work together, they paint a room in x hours.
In 1 hour: 1/x room
1/7 + 1/5 = 1/x
5/35 + 7/35 = 1/x
12/35 = 1/x
x = 35/12
35/12 hours
Answer: 35/12 hours
How do I rewrite the expression x^3+10x^2+13x+30/x^2+x^2+2x+1
Answer:
A
Step-by-step explanation:
x²+2x+1)x³+10x²+13x+39 (x+8
- x³+2x²+x
+ - -
--------------------
8x²+12x+39
8x²+16x+ 8
- - -
____________
-4x+31
Why the correct answer of this question is 7 while I always find 3 as the minimum value instead of 7? The picture includes two different solutions.
Answer:
see below
Step-by-step explanation:
This solution is based off of the Triangle Inequality, which states that the sum of the two shortest sides of a triangle must be greater than the longest side of the triangle. The solution looks at the diagram on the bottom where y = DB. Looking at ΔABD, to find the range of values for y, we must consider two possible cases: y is either the shortest side or the longest side. If y is the shortest side then y + 5 > 6 which means y > 1 and if y is the longest side then 6 + 5 > y which means 11 > y. Therefore, the range of values for y is 1 < y < 11.
Next, they made y as small as possible, which would be 1.1 in this case. Looking at ΔDCB, again, to find the range of values for x, we must consider two possible cases: x is either one of the shortest sides or x is the longest side. If x is one of the shorter sides then 1.1 + x > 8 so x > 6.9 and if x is the longest side, 1.1 + 8 > x so 9.1 > x. Therefore, the range of values for x is 6.9 < x < 9.1. The smallest integer value that satisfies this inequality is x = 7.
A retailer buys pairs of shoes for $45.50 each. He marks up all his merchandise 25%. How much will he sell the shoes for? (Round to the nearest cent.) $36.40 $47.99 $56.87 $56.88
Answer:
56.88
Step-by-step explanation:
2 ways to do this
45.50 x 25% = 11.375
45.50 + 11.375 = 56.875
and that rounds to 56.88
for option 2 I recommend a calculater
45.50 + 25% = 56.875
56.88
Find the probability of selecting a multiple of 2 or a multiple of 3 from the integers 1-20
Answer:
Step-by-step explanation:
I have listed every number and unbolded the numbers that are divisible by 2 and 3
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
so it is 13/20
The probability of selecting a multiple of 2 or a multiple of 3 from the integers 1-20 is 13/20.
What is probability?Probability is the likeliness of happening an event among all the events possible to happen. The formula of calculating probability is number/ events/total numbers/ total events. The value of probability lies between 0 and 1.
How to calculate probability?We have to find out the probability of selecting a multiple of 2 or a multiple of 3 from the integers 1-20.
Multiples of 2 from 1 to 20=2,4,6,8,10,12,14,16,18,20= 10 numbers
Multiples of 3 from 1 to 20=3,6,9,12,15,18=6 numbers
Common multiples 6,12,18=3 numbers
Total numbers from 1 to 20=20
Probability=(10+6-3)/20
[ we have deducted 3 because we have to just take a number once while calculating probability]
=13/20
Hence the probability of selecting a multiple of 2 or a multiple of 3 from the integers 1-20 is 13/20.
Learn more about probability at https://brainly.com/question/24756209
#SPJ2