Answers
Answer:
10[tex]\leq[/tex]D+R
D[tex]\geq[/tex]R/3 (or 3D[tex]\geq[/tex]R)
Step-by-step explanation:
Say that D = Decaf and R = Regular
10[tex]\leq[/tex]D+R
D[tex]\geq[/tex]R/3 (or 3D[tex]\geq[/tex]R)
Related Questions
Find the equation of the line that is perpendicular to the line x = −5 and passes through the point (1, 3.14).
A) y = 3.14
B) y = 3.14x
C) y =
1
5
x
D) y = −5x
Answers
Answer:
A
Step-by-step explanation:
Perpendicular to x = -5 is going to be a horizontal line.
Since it passes through (1,3.14),
Equation is y = 3.14
What is -3t + -8 =25
Answers
Step-by-step explanation:
-3t-8=25
-3t=25+8
-3t=33
t=33/-3
t=(-11)
-3t=25+8
-3t=33
t=33/-3
t=(-11)
Given the functions f(n) = 11 and g(n) = −2(n − 1), combine them to create an arithmetic sequence, an, and solve for the 31st term.
Answers
To create an arithmetic sequence using the given functions, we add the functions together and substitute the desired term. The 31st term of the arithmetic sequence is -49.
Explanation:To combine the functions f(n) = 11 and g(n) = -2(n - 1) into an arithmetic sequence, we need to find the common difference between the terms. The common difference between the terms in an arithmetic sequence is obtained by subtracting one term from the previous term. In this case, the common difference is g(n). So, the arithmetic sequence can be expressed as an = f(n) + g(n).
For the 31st term, we substitute n = 31 into the equation and calculate:
a31 = f(31) + g(31)
a31 = 11 + [-2(31 - 1)]
a31 = 11 + [-2(30)]
a31 = 11 + [-60]
a31 = -49
Therefore, the 31st term of the arithmetic sequence an is -49.
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2/sqrt(10) simplified
Answers
Answer:
20qrt/s / as in over
Step-by-step explanation:
To simplify 2/√(10), multiply the numerator and denominator by √(10) to get √(10)/5. This process removes the square root from the denominator.
To simplify the expression 2/√(10), we rationalize the denominator. This involves removing the square root from the denominator by multiplying the numerator and the denominator by the square root of 10.
Multiply the numerator and denominator by √(10):2/√(10) × √(10)/√(10)This gives us:
(2 × √(10)) / (√(10) × √(10)) = 2√(10) / 10Simplify the expression by cancelling common factors:
2√(10) / 10 = √(10) / 5
So, the simplified form of 2/√(10) is √(10)/5.
john is 3 times as old as susan. Mark is 5 years younger than john the sum of their ages is 30. how old is susan
Answers
Answer:
Susan is 5 years old
Step-by-step explanation:
Make a system of equations based on the info:
J=3S
M=J-5
J+M+S=30
Since we have the value of J, plug it in to either equation:
M=3S-5
Same deal with M:
3S+3S-5+S=30
7S-5=30
7S=35
S=5
So Susan is 5 years old
what’s the slope of (2,-7) and (-1,6)
Answers
Answer:
m = -13/3
Step-by-step explanation:
The difference of your y's divided by the difference of your x's.
M=13/3
Solve for a
- 8a = 24
Answers
Answer:
a = -3
Step-by-step explanation:
Isolate the variable, a. Note the equal sign, what you do to one side, you do to the other.
Divide -8 from both sides:
(-8a)/-8 = (24)/-8
a = 24/-8
a = -3
a = -3 is your answer.
Answer:
a = -3 to find this answer divide both sides by -8
Evaluate each function at each of the four points.
Functions:
f(x) = x2 – 5x – 6
f(x) = 23 – 22 – 12
f(x) = 5.24
Points:
f(0)
f(2)
f(-1)
f(6)
Answers
1) f(0)= -6 , f(2)= -12, f(-1)= 0, f(6)= 0
2) f(0)= -12 , f(2)= -8 , f(-1)= -14 , f(6)= 168
3) f(0)= 5 , f(2)= 20, f(-1)= 2.5 , f(6)= 320
Step-by-step explanation:
1) The given function is f(x) = x² – 5x – 6.
To find the values of f(0) , f(2), f(-1), f(6) :
Substitute x=0 in f(x) = x² – 5x – 6
f(0) = -6
Therefore, f(0) = -6
Substitute x=2 in f(x) = x² – 5x – 6
f(2) = (2)² -5(2)-6
⇒ 4-10-6
⇒ 4-16
⇒ -12
Therefore, f(2) = -12
Substitute x= -1 in f(x) = x² – 5x – 6
f(-1) = (-1)² - 5(-1) -6
⇒ 1+5-6
⇒ 6-6
⇒ 0
Therefore, f(-1) = 0
Substitute x= 6 in f(x) = x² – 5x – 6
f(6) = (6)² - 5(6) -6
⇒ 36 -30 -6
⇒ 36-36
⇒ 0
Therefore, f(6) = 0
2) The given function is f(x) = x³– x²–12.
To find the values of f(0) , f(2), f(-1), f(6) :
Substitute x=0 in f(x) = x³– x²–12
f(0) = -`12
Therefore, f(0) = -12
Substitute x= 2 in f(x) = x³– x²–12
f(2) = (2)³ - (2)² -12
⇒ 8-4-12
⇒ 8-16
⇒ -8
Therefore, f(2) = -8
Substitute x= -1 in f(x) = x³– x²–12
f(-1) = (-1)³ - (-1)² -12
⇒ -1-1-12
⇒ -14
Therefore, f(-1) = -14
Substitute x= 6 in f(x) = x³– x²–12
f(6) = (6)³ - (6)² -12
⇒ 216 -36 -12
⇒ 216-48
⇒ 168
Therefore, f(6) = 168
3) The given function is f(x) = [tex]5.24^{x}[/tex]
To find the values of f(0) , f(2), f(-1), f(6) :
Substitute x=0 in f(x) = [tex]5.2^{x}[/tex]
f(0) = 5 × [tex]2^{0}[/tex]
Any number with power zero is 1.
f(0) = 5
Therefore, f(0) = 5
Substitute x=2 in f(x) = [tex]5.2^{x}[/tex]
f(2) = 5 × 2²
⇒ 5×4
⇒ 20
Therefore, f(2) = 20
Substitute x= -1 in f(x) = [tex]5.2{x}[/tex]
f(-1) = [tex]5\times2^{-1}[/tex]
⇒ 5 × 1/2
⇒ 5 × 0.5
⇒ 2.5
Therefore, f(-1) = 2.5
Substitute x= 6 in f(x) = [tex]5.2^{x}[/tex]
f(6) = [tex]5\times 2^{6}[/tex]
⇒ 5 × 64
⇒ 320
Therefore, f(6) = 320
Round each addend to 0,1/2, or 1. What is the best estimate for the sum of 5/6 + 3/7
Answers
Answer:
Step-by-step explanation:first round the fractions then add decide if it goes to 0,1/2,or 1
The best estimate for the sum of 5/6 and 3/7 by rounding to the nearest 0, 1/2, or 1 is 1.5 or 3/2.
To estimate the sum of 5/6 and 3/7, we round each addend to the nearest of the given values: 0, 1/2 (0.5), or 1. Five-sixths is closer to 1 than it is to 1/2 or 0. So, we round 5/6 to 1.
Three-sevenths is closer to 1/2 than to 1 or 0. So, we round 3/7 to 1/2. After rounding, our new equation for estimation is 1 + 1/2.
The best estimate for the sum thus becomes 1 + 1/2 which equals 1.5 or 3/2. This is a quick way to find a rough estimate of the sum without finding a common denominator or adding the actual fractions.
The recursive formula to describe a sequence is shown below
a1=4
an=an-1+2n
State the first four terms of this sequence.
Answers
Given that the recursive formula for a sequence is [tex]a_n=a_{n-1}+2n[/tex]
The first term of the sequence is [tex]a_1=4[/tex]
We need to determine the first four terms of the sequence.
Second term:
The second term of the sequence can be determined by substituting n = 2 in the recursive formula.
Thus, we have;
[tex]a_2=a_{2-1}+2(2)[/tex]
[tex]a_2=a_{1}+2(2)[/tex]
[tex]a_2=4+4[/tex]
[tex]a_2=8[/tex]
Thus, the second term of the sequence is 8.
Third term:
The third term of the sequence can be determined by substituting n = 3 in the recursive formula.
Thus, we have;
[tex]a_3=a_{3-1}+2(3)[/tex]
[tex]a_3=a_{2}+2(3)[/tex]
[tex]a_3=8+6[/tex]
[tex]a_3=14[/tex]
Thus, the third term of the sequence is 14.
Fourth term:
The fourth term of the sequence can be determined by substituting n = 4 in the recursive formula.
Thus, we have;
[tex]a_4=a_{4-1}+2(4)[/tex]
[tex]a_4=a_{3}+2(4)[/tex]
[tex]a_4=14+8[/tex]
[tex]a_4=22[/tex]
Thus, the fourth term of the sequence is 22.
Hence, the first four terms of the sequence is 4, 8, 14, 22.
The vertices of a polygon are P(0,4), Q(5,4), R(5-3) and S(0,-3). What is the perimeter of the polygon? (Show work please)
Answers
Answer:
The perimeter of the polygon are
PQ = 5
RS = 5
PR = √74 = 8.60
QS = √74 = 8.60
QR = 7
Step-by-step explanation:
To calculate the perimeter of a polygon, polygon is like a coordinate with points, to find the length, we use this formula
d = √(x _2 - x_1)^2 + (y_2 - y_1)^2
Let's start from the first two vertices P ( 0 , 4) and Q(5 , 4)
x_1 = 0
y_1 = 4
x_2 = 5
y_2 = 4
PQ = √ ( 5 - 0)^2 + ( 4 - 4)^2
= √ 5^2 + 0^2
= √ 25
= 5
Between R( 5 , -3) and S ( 0 , -3)
x_1 = 5
y_1 = -3
x_2 = 0
y_2 = -3
RS = √ ( 0 - 5)^2 + ( -3 - (-3))^2
= √( -5)^2 + ( -3 + 3)^2
= √ 25 + 0
= √ 25
= 5
Between P( 0 , 4) and R (5 , -3)
x_1 = 0
y_1 = 4
x_2 = 5
y_2 = -3
PR = √( 5 - 0)^2 + ( -3 - 4)^2
= √ 5^2 + (-7)^2
= √ 25 + 49
= √ 74
= 8.60
Between Q ( 5 , 4) and S(0 ,-3)
x_1 = 5
y_1 = 4
x_2 = 0
y_2 = -3
QS = √ ( 0 - 5)^2 + ( -3 - 4)^2
= √ -5^2 + -7^2
= √ 25 + 49
= √ 74
= 8.60
Between Q( 5,4) and R(5 , -3)
x_1 = 5
y_1 = 4
x_2 = 5
y_2 = -3
QR = √ (5 - 5)^2 + ( -3 - 4)^2
= √ 0^2 + (-7)^2
= √ 0 + 49
= √ 49
= 7
Hiroki and Mapiya were asked to find an explicit formula for the sequence 125, 25, 5, 1,
Answers
Answer:
You always have to divide the total for 1/5
for instance:
125/5 = 25
25/5 = 5
5/5 = 1
brainliest please ;)
Answer:
Only Hiroki
Step-by-step explanation:
His formula makes the most sense to the sequence.
The product of 5 and an odd number will end in what value?
A) 0
B) 1
C)3
D)5
Answers
Answer:
D) 5
Step-by-step explanation:
If we multiply 5 and an odd number, the end value will not be 0, 1, and 3. For example,
5 × 1 = 5
5 × 9 = 45
Therefore, in both the product, the end value is 5 and not 0, 1, and 3.
Therefore, option D is correct.
If we multiply 5 by any of the odd number, we can get the end value of 5. The following examples are the valid reasons why we will get 5.
5 × 3 = 15
5 × 5 = 25
So, option A, B, and C are wrong.
Answer:
A) 0
B) 1
C)3
D.5 ←
Integer Operation:
Adding Integers
1) 85 + (-96) =
Answers
Anytime your adding a negative number, its the same as subtract a positive number.
85 + (-96) → 85 - 96
85 - 96 = -11
Best of Luck!
The volume of a rectangular prism is 1,000^3 mm. Use the formula V = lwh to determine which of the statements are true. Choose all that apply
The prism could be a cube with a side length of 10 mm.
It is possible for the length to be 1,000 mm.
The length, width, and height must end in zero.
It is possible that the length is 2.5 mm.
Answers
(A) The prism could be a cube with a side length of 10 mm.
(B) It is possible for the length to be 1,000 mm.
(D) It is possible that the length is 2.5 mm.
Explanation:
Volume = l×w×h
where l is the length, w is the width and h is the height
It is possible that the length is 2.5 mm
Then volume = 2.5 × 10 ×40 = 1000 mm³
It is possible for length to be 1000 mm
Then volume = 1000 × 0.1 × 10 = 1000 mm³
The prism could be a cube of length 10 mm
Then volume = 10 × 10 × 10 = 1000 mm³
The major and minor axes of an ellipse are 25 inches and 4 inches in length. What is the area of the ellipse?
Answers
Answer:
Therefore, the area of the ellipse is:
Area = 78.5 inches
Step-by-step explanation:
The formula to find the area of the ellipse is
[tex]\:a\:\times \:b\:\times \:\pi[/tex]
The major axis of an ellipse = 25 inches
The minor axis of an ellipse = 4 inches
The value of a = major axis/2 = 25/2 = 12.5 inchesThe value of b = minor axis/2 = 4/2 = 2 inchesThus
The area of the ellipse:
Area = [tex]\:a\:\times \:b\:\times \:\pi[/tex]
[tex]=\:12.5\:\times\:2\:\times\:\pi[/tex]
[tex]=25\pi[/tex]
[tex]=78.5[/tex] inches ∵ [tex]\pi =3.14[/tex]
Therefore, the area of the ellipse is:
Area = 78.5 inches
Wes wants to buy 3 pepper plants from the garden center. The regular price of a pepper plant
is $5. If Wes buys 3 plants, he can use a 20%-off coupon. If he buys 4 plants, he can use a
30%-off coupon Wes wants to know if buying 4 plants is less expensive than buying 3 plants.
What is the sale price of 3 pepper plants after a 20% discount?
Answers
Answer: 12
Step-by-step explanation: cuz i said so
The sale price of 3 pepper plants after a 20% discount is $12.
Explanation:To figure out the sale price of 3 pepper plants after a 20% discount, we first calculate 20% of the regular price. The regular price of one pepper plant is $5, so 20% of $5 is $1. Therefore, the sale price of one pepper plant is $5 - $1 = $4. As Wes wants to buy 3 plants, we multiply this sale price by 3, so the total price after discount for 3 plants is $4 * 3 = $12.
So, the sale price of 3 pepper plants after a 20% discount is $12.
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Need this done ASP, What is trhe volume of the cone?
Answers
Answer:
490pi/3
Step-by-step explanation:
The volume of the cone is V=1/3*b*h, as shown in the image. The height is 10, the base is pi*radius^2, and the radius is 7 making V=1/3*10*pi*7^2 or 490pi/3 after the calculations
6
Create two sets of data with the following characteristics.
• Each data set has 5 values.
The mean of set 1 is greater than the mean of set 2.
The MAD of set 1 is less than the MAD of set 2.
Answers
121111111111111111111
She earns $20 per hour as a carpenter and $25 per hour as a blacksmith. Last week Giselle worked both jobs for a total of 30 hours and earn a total of $690 how long did she work as a carpenter last week and how long did she work as a blacksmith
Answers
Answer:
There is a few combinations but as carpenter it is (9.5hrs x $20=$190 ) and as a blacksmith 20 x $25= 500
Step-by-step explanation:
is -3 1/2 a rational number
Answers
Answer:
yes
Step-by-step explanation:
Yes, -3 1/2 is a rational number.
We have,
A rational number is any number that can be expressed as a fraction, where both the numerator and the denominator are integers.
-3 1/2 can be expressed as the fraction -7/2, where -7 is the numerator and 2 is the denominator.
Both -7 and 2 are integers, so -3 1/2 is a rational number.
Thus,
Yes, -3 1/2 is a rational number.
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Which ordered pair is a solution of the equation?
7x-2y=-57x
Answers
Answer:
D Neither
Step-by-step explanation:
D neither
Hope it helps you in your learning process.
Which property was applied to create this equivalent expression?
7 x + (5 + 6 x) right-arrow (7 x + 5) + 6 x
A.the commutative property only
B.the associative property only
C.the distributive property only
D.both the commutative property and the associative property
Answers
Answer:
wrong it is B.the associative property only
Step-by-step explanation:
A model of a barn is composed of a cube and a triangular prism. The dimensions of the model of the barn are shown. What is the surface area, in square centimeters, of the model?
a 3,000
b 3,048
c 3,504
d 3,624
Answers
Answer: c
Step-by-step explanation:
you must have not known the questions for the connections acadamy benchmark i may be your classmate
13-(-6) helpppp meee
Answers
Answer:
19
Step-by-step explanation:
Step 1: Solve
13 - (-6)
13 + 6
19
Answer: 19
A circle has a circumference of 6. It has an arc of length 17/3. What is the central angle of the arc, in degrees?
Answers
Answer:
340 degrees
Step-by-step explanation:
So the key thing here is to notice that we are given the circumference which will allow us to find a value for the radius of the circle and hence the angle subtended by the arc (the central angle).
So the circumference of a circle = 2pi(r)
This means:
6 = 2pi(r)
Which means that
r = 6/2pi or r = 3/pi
Now we can use this value of r to find our angle in conjunction with the value of the arc length. So:
Arc length is defined by: length = θr
Where θ is our angle value.
So lets plug in:
[tex]\frac{17}{3} = (angle)\frac{3}{\pi }[/tex]
Multiply by pi to get:
[tex]\frac{17\pi }{3} = 3(angle)[/tex]
Divide by 3 to get that:
θ = 17pi/9
So if we convert that from radians to degrees we get 340 degrees.
Three of the shapes have the same area. Which one does not?
Answers
Answer:A
Step-by-step explanation:
Answer:
No the answer is c. because it is the only one not equal to 24.
Step-by-step explanation:
choice a is a parallelogram which would be equal to 24 because for a parallelogram to find the area you multiply base times height.
6 times 4 is 24.
What is 23 x 3/5?? I don’t get it at all please help!!
Answers
Answer:69/5
Step-by-step explanation:
7)
A radio costs $20. Harold buys it for $16. What percent off did he receive?
Answers
Answer:20%
Step-by-step explanation:
20-16=4
4/20=0.2
Move the decimal to the right twice and you get 20
What’s a linear function
Answers
Answer:
What is Linear Function? - Equation, Graph, Definition
A linear function is a function that represents a straight line on the coordinate plane. For example, y = 3x - 2 represents a straight line on a coordinate plane and hence it represents a linear function. Since y can be replaced with f(x), this function can be written as f(x) = 3x - 2.
Step-by-step explanation: