Answer: 1/21
Step-by-step explanation:
There are 21 total slips of paper.
Only one has the persons name on it.
1/21 is the probability he chooses his name
Y = 5x + 4
Y = 3x+10
solve for the solution (x,y)?
Answer:
The solution (x,y) is (3,19).
Step-by-step explanation:
We are given two equations for y.
y = 5x + 4
y = 3x + 10
They are equal, which means that we can find x. So
5x + 4 = 3x + 10
2x = 6
x = 3
With x, we can find y:
y = 5*3 + 4 = 19
So the solution (x,y) is (3,19).
Given the following exponential function, identify whether the change represents growth or decay, and determine the percentage rate of increase or decrease.
y=57(0.4)^x
Answer:
Decay, 60%
Step-by-step explanation:
Remember that the exponential function is written in the form [tex]y=ab^x[/tex]. In this problem, a=57 and b=0.4. A function is considered a growth function when [tex]b>1[/tex]. Since 0.4 not greater than 1, this is an exponential decay function.
Now, to find the rate of decrease we can use part of the form [tex]y=a(1-r)^x[/tex].
[tex]1-r[/tex] represents the percentage decrease, in this case, 0.4. If that entire term is 0.4, we need to solve for [tex]r[/tex].
[tex]1-r=0.4\\r=0.6[/tex]
So, the rate of percentage decrease is 60%.
I hope this helps!
x
8
17
Find the exact value of x.
X=
Answer:
621
629
Step-by-step explanation:
We know that
sin
(
x
+
y
)
=
sin
x
cos
y
+
sin
y
cos
x
If
cos
x
=
8
17
and
sin
y
=
12
37
We can use,
cos
2
x
+
sin
2
x
=
1
and
cos
2
y
+
sin
2
y
=
1
To calculate
sin
x
and
cos
y
sin
2
x
=
1
−
cos
2
x
=
1
−
(
8
17
)
2
=
225
17
2
sin
x
=
15
17
cos
2
y
=
1
−
sin
2
y
=
1
−
(
12
37
)
2
=
1225
37
2
cos
y
=
35
37
so,
sin
(
x
+
y
)
=
15
17
⋅
35
37
+
12
37
⋅
8
17
=
621
629
Answer link
Shwetank Mauria
Nov 22, 2016
sin
(
x
+
y
)
=
621
629
or
−
429
629
depending on the quadrant in which sine and cosine lie.
Explanation:
Before we commence further, it may be mentioned that as
cos
x
=
8
17
,
x
is in
Q
1
or
Q
4
i.e.
sin
x
could be positive or negative and as
sin
y
=
12
37
,
y
is in
Q
1
or
Q
2
i.e.
cos
y
could be positive or negative.
Hence four combinations for
(
x
+
y
)
are there and for
sin
(
x
+
y
)
=
sin
x
cos
y
+
cos
x
sin
y
, there are four possibilities.
Now as
cos
x
=
8
17
,
sin
x
=
√
1
−
(
8
17
)
2
=
√
1
−
64
289
=
√
225
289
=
±
15
17
and
as
sin
y
=
12
37
,
cos
y
=
√
1
−
(
12
37
)
2
=
√
1
−
144
1369
=
√
1225
1369
=
±
35
37
Hence,
(1) when
x
and
y
are in
Q
1
sin
(
x
+
y
)
=
15
17
×
35
37
+
8
17
×
12
37
=
525
+
96
629
=
621
629
(2) when
x
is in
Q
1
and
y
is in
Q
2
sin
(
x
+
y
)
=
15
17
×
−
35
37
+
8
17
×
12
37
=
−
525
+
96
629
=
−
429
629
(3) when
x
is in
Q
4
and
y
is in
Q
2
sin
(
x
+
y
)
=
−
15
17
×
−
35
37
+
8
17
×
12
37
=
525
+
96
629
=
621
629
(4) when
x
is in
Q
4
and
y
is in
Q
1
sin
(
x
+
y
)
=
−
15
17
×
35
37
+
8
17
×
12
37
=
−
525
+
96
629
=
−
429
629
Hence,
sin
(
x
+
y
)
=
621
629
or
−
429
629
long division: Problem type 2 Divide, (12x3 +14x2+24x+9) = (4x2+2x) Your answer should give the quotient and the remainder Quotient: 3 3 Remainder: 1 X ?
9514 1404 393
Answer:
quotient: 3x +2remainder: 20x +9Step-by-step explanation:
Just as with numerical long division, the product of the partial quotient and the divisor is subtracted from the dividend to get the new dividend. The partial quotient is the ratio of the highest-degree terms of dividend and divisor. The process ends when the degree of the dividend is less than the degree of the divisor.
I need some homework help please.
Answer:
x^2-5x=6
x^2-5x-6=0
x^2+x-6x-6=0
x(x+1)-6(x+1)=0
(x-6)(x+1)=0
x=6, -1
-5x= -30, 5
Step-by-step explanation:
Vicky is renting an apartment.In addition to the first month’s rent, the landlord requires him to pay half of a month's rent as security-deposit and 40% of a month's rent for utility bills before moving in.The total amount he has to pay the landlord before moving in is $3800. What is monthly rent ?
Answer:
$2000Step-by-step explanation:
Let the monthly rent be x.
Then we have:
x + 0.5x + 0.4x = 38001.9x = 3800x = 3800/1.9x = 2000Monthly rent is $2000
Answer:
the answer to your question is $2000
The right triangle on the right is a scaled copy of the right triangle on the left. Identify the scale factor. Express your answer as a whole number or fraction in simplest form.
Answer:
1/3
Step-by-step explanation:
the one on the left is 3 times larger than the one on the right. in other words, the right triangle's dimensions times 1/3 is equal to the left triangle's dimensions.
Two sides of a triangle have the same length. The third side measures 3 m less than twice that length. The perimeter of the triangle is 25m. Find the lengths of the three sides.
Answer:
two sides have the length of 7m
third side is 11m
Step-by-step explanation:
perimeter is the sum of all sides
let 'n' = length of congruent sides
let '2n - 3' = length of third side
25 = n + n + 2n - 3
25 = 4n - 3
28 = 4n
n = 7m
2(7) - 3 = 11m
What is the value of x in the equation 3x-4y=65, when y=4?
O x=134
O x=21 1 / 3
O x=23
O x=27
Answer:
27
Step-by-step explanation:
3x-4y=65
3x-4(4)=65
3x-16=65
3x=65+16
3x=81
x=81/3
x=27
13/10 ÷ 2/10 = ?????
Answer:
6.5
Step-by-step explanation:
13/10÷2/10= 13/10*10/2
cancel out the 10 and that leaves you with 13/1*1/2=13/2
simplify 13/2 and that leaves you with 6.5
Answer:
[tex]6\frac{1}{2}[/tex]
Step-by-step explanation:
[tex]\frac{13}{10}[/tex] · [tex]\frac{10}{2}[/tex] (Cross out the tens) = [tex]\frac{13}{2}[/tex]
2/13 = 6 R.1 [tex]6\frac{1}{2}[/tex]
Sixteen players participated in a tennis tournament. Three players will be awarded for first, second, and third prize. In how many different ways can first, second and third prizes be awarded?
Answer:
Total number of ways in which first, second and third prizes will be awarded = 560
Step-by-step explanation:
As given,
There are 16 players participated in a tennis tournament.
and 3 players will be awarded for first, second, and third prize.
As we know,
ⁿCₓ = [tex]\frac{n!}{x! (n-x)!}[/tex]
n = the number of items.
x = how many items are taken at a time.
As given, n = 16 , x = 3
⇒¹⁶C₃ = [tex]\frac{16!}{3! (16-3)!} = \frac{16!}{3! (13)!} = \frac{16.15.14.13!}{3! (13)!} = \frac{16.15.14}{3!} = \frac{16.15.14}{3.2.1} = \frac{3360}{6} = 560[/tex]
∴ we get
Total number of ways in which first, second and third prizes will be awarded = 560
3 x 10 ^4 as an ordinary number
Answer:
30,000
Step-by-step explanation:
First exponents first so 10^4 is 10,000
10,000 times 3 is 30,000
The ordinary number for the given scientific notation is 30000.
What is scientific notation?Scientific notation is a method for expressing a given quantity as a number having significant digits necessary for a specified degree of accuracy, multiplied by 10 to the appropriate power such as 1.56×10⁷.
The given scientific notation is 3×10⁴.
To write scientific notation in ordinary number, multiply the number of 10 powers.
Now, 10⁴ can be expanded as 10×10×10×10=10000
So, 3×10⁴=3×10000
= 30000
Therefore, the ordinary number is 30000.
To learn more about the Scientific notation visit:
https://brainly.com/question/18073768.
#SPJ2
How do you write 246% as a fraction or mixed number?
Answer:
246/100 as a fraction, and 2 46/100 as a mixed number..
Step-by-step explanation:
Answer: Divide using long division. The whole number portion will be the number of times the denominator of the original fraction divides evenly into the numerator of the original fraction, and the fraction portion of the mixed number will be the remainder of the original fraction division over the denominator of the original fraction.
2 and 23/50
or as a simplified fraction 123/50
Step-by-step explanation:
Mrs. Hanley wants to put her 29 students into groups of 6 how many groups of 6 can she make if she puts any remaining students in the smaller group how many students will be in that group. Haley wants to put 29 students into groups of six how many of six can she make if she puts any remaining students in a smaller group how many students will be in
Answer: she can make 4 groups of 6 and there will be 5 left in the other group
Step-by-step explanation: because im right
A car is traveling at a constant speed. Find the number of miles the car travels in 1 hour at the given rate of 135 miles in 3 hours.
Ms. Rios washed 2 5 of her laundry. Her son washed 1 3 of it. Who washed most of the laundry? How much of the laundry still needs to be washed?
Answer:
The son has washed most of the laundry.
Step-by-step explanation:
PLS I NEED HELP: Which one of the following is an exponential growth function?
A. y = (1.5)^x
B.y = (2/3)^x
C. y = (1/2)^x
D. y = (0.5)^x
According to the National Weather Service, the average monthly high temperature in the Dallas/Fort Worth, Texas area from the years of 2006-2008 is given by the following table:
Month
Average Maximum Monthly Temperature
Jan
48.1
Feb
50.9
Mar
62.4
Apr
67.0
May
76.5
Jun
83.9
Jul
86.8
Aug
88.1
Sep
79.2
Oct
69.9
Nov
59.5
Dec
49.6
Plot the data on a scatter plot. Produce a sine regression model for the data. Round the values for a, b, c, and d to the nearest 0.001.
a.
y = 67.577 sine (0.500 x minus 1.959) + 20.077
b.
y = 20.077 sine (0.500 x minus 1.959) + 67.577
c.
y = 20.077 sine (1.959 x minus 0.500) + 67.577
d.
y = 20.077 sine (67.577 x minus 1.959) + 0.500
Answer:
b. y = 20.077 sin(0.500x - 1.959) + 67.577Step-by-step explanation:
The easiest way to solve
1. Plot the points for one year2. Add the functions to same graph and compareThis gave us the option B as the best fit line
See the graph below
Step-by-step explanation:
the dude above me is right
What is the area of the shaded region? Round to the nearest tenth.
Answer:
The answer is 50.2cm²
Step-by-step explanation:
Area of the whole circle (the whole shape)
A= πr²
A= 3.14 x (5cm)²
A= 3.14 x 25cm
A= 78.5cm²
Area of the part in the middle (non-shaded part)
A= πr²
A= 3.14 x (3cm)²
A= 3.14 x 9cm
A= 28.26cm²
78.5cm² - 28.26cm² = 50.24cm²
Answer rounded to the nearest tenth: 50.2cm²
Hope this helps :)
3
8
8
1
.
2. I need help!!!!!
Answer:
3 7/8
Step-by-step explanation:
8 3/8 - 4 1/2 =
8 3/8 - 4 4/8=
7 11/8 - 4 4/8 =
3 7/8
Answer:
The person above is correct
Step-by-step explanation:
When subtracting fraction you should make sure the deniminators (bottom number of fraction) of both fractions are the same number so you can subtract evenly. Also note whatever you do to the deniminator, you do to the numerator (top number). In this example you turn 1/2 to 4/8 in order to subtract.
What’s the right answer ?
Answer:
B
Step-by-step explanation:
the answer is in the attachment
What type of angle is this?
A. Straight angle
B. Supplementary
C. Complementary
Factor the expression using the GCF.
100 – 80
Answer:
The Greatest Common Factor (GCF) for 100 and 80, notation GCF (100,80), is 20.
Step-by-step explanation:
Answer:
20 gcf
Step-by-step explanation:
JCF the first 20 yan ata hehehheheheheheheh
SOMEONE PLZZ HELP, I HAVE A TEST AND DONT KNOW HOW TO DO THIS!!
PLEASE I WILL MARK BRAINLIEST 22. Find the measure of angle HJK.
Answer:
i think its 38 but i could be wrong sorry
Step-by-step explanation:
Andres bought 3 shirts that each cost the same amount and a pair of jeans that cost $40. The items he
bought cost a total of $106 before tax was added.
PART A: Create an equation to find s, the cost of each shirt.
Reminder! Your equation should not have any spaces included in it. Ex. 4x+2=10
PART B: What is the cost of each shirt?
shirt-x
a.3s+40=106
b. 3s= 66
s=22
if my answer helps please mark as brainliest.
Please help, I have no idea how to do this one
helppppppppppppppppppppppppppppp
4*((7x-6)+(4x-3))=360
7x-6+4x-3=90
11x=99
x=9
∠ACD = (7x-6)=7*9-6 = 57°
In the jone school library,10/20 of the computers have scanners.in simplest form, which fraction of the computers have scanners? 1/2 1/4 5/10 6/12
Answer:
1/2
Step-by-step explanation:
Suppose you have a student loan of $45,000 with an APR of 9% for 30 years. Complete parts (a) through (c) below.