Answer:
5^3x=(1/25)^x-5
5^3x=5^-2(x-5)
3x=-2x+10
3x+2x=10
5x=10
x=2
(shown)
Ben has a bag with 4 green counters 4 red counters and 12 white counters Ben takes a counter from the bag at random find the probably that Ben takes out a green counter
if the family chooses to give you a 20% tip and the tax rate is 8.5% how much will they pay in total??
Enter cost and tip percent to get a tip amount and total dinner amount. ... how many people? ... Calculate a tip or gratuity and get the total amount to pay. ... If you are splitting the cost at a restaurant among several people you can divide by the ... To calculate a gratuity or tip on any calculator it is a simple multiplication.
Answer:
Step-by-step explanation:
can someone please answer this for mee ?
Answer: 40 gallons for every 5 minutes.
Find the slope of the line y = 7x – 2.
Answer:
m = 7, b = -2
Step-by-step explanation:
The equation y = 7x - 2 is written in y = mx + b, also known as slope intercept.
In slope-intercept, m is the slope and b is the y-intercept.
m = coefficient of x
b = constant
Similarly,
m = 7
b = -2
Hence, m = 7 and b = -2.
\(\rule{350}{4}\)
\(\frak{-Dream-}\)
Combine like terms
(x+y)+(x+y)+(x+y)+(x+y)
the combine like terms is
Answer:
It is 4x + 4y.
Step-by-step explanation:
All you have to do is add all of the y's toghther and then add all of the x's toghther.
Answer:
4x+4y
Step-by-step explanation:
Combine the four "x" so x+x+x+x likewise the four "y" y+y+y+y.
A rectangular field in a park is 66.5ft wide and 110ft long. What is the area of the field in square meters? m
2
The area of the field in square meters is approximately 679.2431 m².Given: Width (W) of rectangular field in a park = 66.5ftLength (L) of rectangular field in a park = 110ftArea
(A) of rectangular field in a park in square meters.We can solve this question using the following steps;Convert the measurements from feet to meters.Use the formula of the area of a rectangle to find out the answer.1. Converting from feet to meters1ft = 0.3048m
Now we can convert W and L to meters
W = 66.5ft × 0.3048 m/ft ≈ 20.27 m
L = 110ft × 0.3048 m/ft ≈ 33.53 m2. Find the area of the rectangle
The formula for the area of the rectangle is given as;A = L × W
Substituting the known values, we have;
A = 33.53 m × 20.27 mA = 679.2431 m²
Therefore, the area of the field in square meters is approximately 679.2431 m².
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In a continuous review policy with R=1500,σ2
R=200, and L=3, what is the reorder point at a cycle service level of 95% ? 1) 4,070 2) 4,470 3) 5,970 4) 5,070
The correct option from the given choices is 4) 5,070. Determine the reorder point in a continuous review policy with a cycle service level of 95%,
We can use the following formula:
Reorder Point = R + Z * sqrt(L * \(σ^2_R\))
Where:
- R is the average demand during lead time
- Z is the Z-score corresponding to the desired service level (95% corresponds to a Z-score of approximately 1.645)
- L is the lead time
- \(σ^2_\)R is the variance of demand during lead time
Given:
R = 1500
\(σ^2\)R = 200
L = 3
Using the formula, we can calculate the reorder point:
Reorder Point = 1500 + 1.645 * sqrt(3 * 200)
Reorder Point ≈ 1500 + 1.645 * sqrt(600)
Reorder Point ≈ 1500 + 1.645 * 24.4948974
Reorder Point ≈ 1500 + 40.2570784
Reorder Point ≈ 1540.2570784
Rounding the reorder point to the nearest whole number, we get:
Reorder Point ≈ 1540
Therefore, the correct option from the given choices is 4) 5,070.
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in the polynomial below.
10x + 2
Enter only the number as your answer.
What’s the term of the polynomial below ?
Answer:
Step-by-step explanation:uywegfywieflwef
efeerewer
werwer
wer
wer
werwer
tew
rt
Answer: 2
Step-by-step explanation:
2 terms
Satoko has 303030 tokens to spend at an arcade. the three lines represent the cost of playing satoko's three favorite games for various numbers of times.
Satoko has 303030 tokens to spend at an arcade, and the three lines indicate the cost of playing her favorite games. She must also consider her personal preference for each game, as enjoyment plays a crucial role.
Satoko's objective is to make the most out of her 303030 tokens while enjoying her three favorite games at the arcade. To achieve this, she needs to allocate her tokens wisely across the three games. By analyzing the cost of playing each game for various numbers of times, she can determine the optimal strategy.
First, Satoko should identify the game with the lowest cost per play. If one game stands out as the most affordable, she can prioritize it to maximize the number of plays within her token budget. However, she must also consider her personal preference for each game, as enjoyment plays a crucial role.
Next, Satoko can distribute the remaining tokens among the other two games. She should aim to strike a balance, ensuring she has a reasonable number of plays for each while still getting the most out of her tokens. It might be beneficial to allocate more tokens to the game she enjoys the most among the remaining two.
By carefully analyzing the cost per play and her personal preferences, Satoko can make informed decisions on how to allocate her 303030 tokens at the arcade. This strategic approach will help her maximize her enjoyment and extend her gaming experience within the given budget.
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make m the subject of the formula in 3-mx/2+2y=p/q
It means we want to isolate m so...
mx/2+2y=p/q
mx/2=p/q-2y
mx=2p/q-4y
m=(2p/q-4y)/x
Hope this helped if you have any more questions ask it in questions.
What is the equation of the line shown in the graph?
Answer:
y=4x-3
Step-by-step explanation:
We're given that the equation is linear (a line), so it must be in the form y=mx+b. We're also given that it contains the points (0,-3) and (1,1).
Plugging the values of the x and y coordinates in that first point, we get the equation -3=m*0+b, simplifying to -3=b. Therefore, the b-value is -3.
Next, we can plug in the values from the second point to get the equation 1=m*1-3, which simplifies to 1=m-3. Adding 3 to both sides, we get m=4. Therefore, the equation of the line is y=4x-3.
Note that -3 is the value where the line intercepts the y-axis, which means -3 is known as the y-intercept. The value of b is always the y-intercept.
how to calculate calculate mean and standard deviation after transforming a random variable combining random variables
to calculate calculate mean and standard deviation after transforming a random variable combining random variables, use the formulae for both the expected and standard deviation of such a linear combination with random variables.
What is standard deviation?Data dispersion in regard to the mean is quantified by a standard deviation, or "σ". Data are said to be more closely grouped around the mean when the standard deviation is low and more dispersed when the standard deviation is high.
Because it makes measures easier to comprehend when the data is spread, standard deviation is significant. The data's standard deviation will increase as the data's distribution becomes more widely scattered. The deviation of each observed value from the mean is measured using this metric. The majority of data in any distribution will fall within a 2 standard deviation range of the mean.
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A rectangular garden is 45 feet long and has perimeter 150 feet. Rows
of plants are planted 3 feet apart. Find the area of the garden.
What is the y-intercept in y=4(2)*
Answer:
0
Step-by-step explanation:
Its prob 0 just because it does not show one, meaning that there is an invisible 0 in the y-intercept spot
Yolanda is eating a peanut butter and jelly sandwich for lunch. She has taken a bite of the sandwich and begun chewing the sticky sandwich. Once the bite of sandwich has been chewed, moistened, and mixed with saliva, it is called
When Yolanda has chewed, moistened, and mixed the peanut butter and jelly sandwich bite with her saliva, it is called a "bolus".
Given that, Yolanda is eating a peanut butter and jelly sandwich for lunch. She has taken a bite of the sandwich and begun chewing the sticky sandwich. Once the bite of sandwich has been chewed, moistened, and mixed with saliva, it is called a bolus. A bolus is defined as a small rounded mass of a substance, especially of chewed food at the moment of swallowing. So, Yolanda's chewed and moistened peanut butter and jelly sandwich has now become a bolus in her mouth.When Yolanda has chewed, moistened, and mixed the peanut butter and jelly sandwich bite with her saliva, it is called a "bolus."
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Graph the line with the equation y= 4/5 x+2.
Answer:
x are -5/2 and 0 . Y are 0 and 2.
Q3) Find a linear differential equation whose general solutions is y(x) = C1eZ* + Czxe2* +C,xỏe2*
The linear differential equation whose general solution is y(x) = C1e2x + C2xe2x + C3x2e2x is y'' + 4y' + 8y = 0.
To find the differential equation, we can differentiate the general solution twice. This gives us y'' + 4y' + 8y = 0. This is a linear differential equation with constant coefficients.
The general solution of a linear differential equation with constant coefficients is of the form y(x) = C1epx + C2eqx + ..., where p and q are the roots of the characteristic equation p^2 + 4p + 8 = 0. In this case, the roots are p = -2 and q = -4. Therefore, the general solution is y(x) = C1e(-2)x + C2e(-4)x + ..., which is equivalent to the given general solution.
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What is the vertex of the graph of y = x^2 - 4?
Answer:
x*2 = 4
x = 4^1/2
x=2
therefore the vertex of the graph will be equal to 2
Mapiya writes a series of novels. She earned \$75{,}000$75,000dollar sign, 75, comma, 000 for the first book, and her cumulative earnings double with each sequel that she writes.
Answer:
\(E(n)=75000 \times 2^n\)
Complete question:
write a function that gives mapiyas cumulative earnings E(n), in dollars when she has written n sequel's
Step-by-step explanation:
According to the question, she earned $75000 for the first book.
Also,We are given that her cumulative earnings double with each sequel that she writes.
Assuming she has written n sequel's
Now since we are given that her cumulative earnings double with each sequel
So, her initial earning will be \(2^n\) times
So, her earning will be : \(75000 \times 2^n\)
Now we are given that cumulative earnings is denoted by E(n)
So, the function becomes :\(E(n)=75000 \times 2^n\)
Hence a function that gives Mapiya's cumulative earnings E(n), in dollars when she has written n sequel's is \(E(n)=75000 \times 2^n\)
Use spherical coordinates to find the volume of the region outside the cone phi = pi /4 and inside the sphere rho = 4 cos phi. The volume is ____ . (Type an exact answer, using pi as needed.)
The volume is 63.717 cubic units
The limits of integration for rho are 0 and 4 cos phi, since the sphere has radius 4 cos phi. The limits for phi are π/4 and π/2, since we want to consider the region outside the cone but inside the sphere, and phi is the angle between the positive z-axis and the position vector of a point. Finally, the limits for theta are 0 and 2π, since theta is the azimuthal angle and we want to integrate over the entire azimuthal angle.
Thus, the volume of the region is given by:
V = 8 x ∫(0 to 2π) ∫(π/4 to π/2) ∫(0 to 4 cos phi) ρ² sin phi dρ dphi dtheta
Simplifying the integral using basic calculus, we get:
V = 8 x (64/3 - 16/3√2π) = 63.717
Therefore, the volume of the region outside the cone phi = π/4 and inside the sphere rho = 4 cos phi is 8(64/3 - 16/3√2π), which is an exact answer using π as needed.
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Write a numerical expression to the model above. ( Chris initially Has 450 dollars in his account, and then writes three checks worth 200, as payments for his car
The expression that represents the model is 450 - 200
How to determine the expression?The given parameters are:
Initial = 450
Check = 200
The balance after the 3 checks is:
Balance = 450 - 200
hence, the expression that represents the model is 450 - 200
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how to write thirty-two and six hundred five thousandths in decimal form
Step-by-step explanation:
32.605 is it
If it costs $4.20 per square foot to install the deck, what is the cost for design A?
The cost of design A is $1587.6.
In Plan A,
Deck Measures 18 feet by 25 feet
Garden measures 9 feet by 12 feet
Area of Garden = 12 X 9 =108 square feet
Area of Deck (in Gray) = (18 X 25) - (12 X 9) =450-108 =342 square feet
Cost of Garden =$1.40 X 108=$151.2
Cost of Deck = $4.20 X 342=$1436.4
Total Cost for Plan A= $151.2+ $1436.4 = $1587.6
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i need help i dot get it.
Estimate 55.59 ÷ 7.8 using compatible numbers.
about 7
about 8
about 5
about 6
Answer:
the answer is about 8 cuz the answer shows 7.12 if you divide mentally
Answer:
The answer is "about 8."
Step-by-step explanation:
Compatible numbers are pairs of numbers that are easy to add, subtract, multiply, or divide mentally. While it is hard to mentally calculate 55.59 divided by 7.8, it is easier to mentally calculate 56 divided by 7, because they are compatible numbers, and they are close to the numbers given in the problem (55.59 and 7.8). 56 divided by 7 leaves us with a quotient of 8, which is a good estimate for the quotient of 55.59 and 7.8.
Verda used a sensor to measure the speed of a moving car at different times. At each time, the sensor measured the speed of the car in both miles per hour and kilometers per hour. The table below shows her results.
RECORDED SPEEDS
Speed
(miles per hour)
Speed
(kilometers per hour)
11.0
26.0
17.699
41.834
34.0
54.706
Based on her results, which statement describes the relationship between m, the speed of the car in miles per hour, and k, the speed of the car in kilometers per hour?
A
The relationship is proportional because the ratio of m to k is constant.
The relationship is not proportional because the ratio of m to k is constant.
C
The relationship is proportional because the difference between m and k is constant
D
The relationship is not proportional because the difference between m and k is constant
Option B correctly describes the relationship between m and k, and it is the answer - The relationship is not proportional because the ratio of m to k is not constant.
What is proportion?
In general, the term "proportion" refers to a part, share, or amount that is compared to a whole. According to the definition of proportion, two ratios are in proportion when they are equal.
To determine the relationship between m (speed in miles per hour) and k (speed in kilometers per hour), we can use the given data to create a conversion factor between miles and kilometers -
1 mile = 1.60934 kilometers
We can use this conversion factor to convert the speeds given in miles per hour to kilometers per hour.
The table below shows the converted speeds -
RECORDED SPEEDS
Speed(miles per hour) Speed(kilometers per hour)
11.0 17.699
26.0 41.834
34.0 54.706
We can see that the ratio of m (speed in miles per hour) to k (speed in kilometers per hour) is not constant.
For example, at the first measurement, m/k = 11/17.699, while at the third measurement, m/k = 34/54.706.
Therefore, we can conclude that the relationship between m and k is not proportional.
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please factor this 9a² + 12ab + 4b²
Answer:
(3a + 2b)(3a + 2b)
Step-by-step explanation:
9a² + 12ab + 4b²
(3a + 2b)(3a + 2b)
Answer:
(3a+2b)(3a+2b)
Step-by-step explanation:
=9a^2 + 12ab + 4b^2
=9a^2 + 6ab + 6ab +4b^2
=3a(3a +2b) + 2b(3a + 2b)
=(3a + 2b) (3a + 2b)
The sum of three consecutive even numbers is 84. What are the numbers?
(A) 25,28,39
(B) 23,24,25
(C) 27,28,29
(D) 22,24,26
Answer:
27, 28, 29
Step-by-step explanation:
x +x+1 +x +2 =84
3x+3 +84
3x=84-3
3x=81
x=81 :3
x=27 (the first number
27+1 =28 (the second number
27 +2 =29 (the third number
a store employes have 11 womens and 12 mens write it as a percentage
Answer: The Store employees have 47.83% women and 52.17% men.
Step-by-step explanation:
Let,
Number of women = x
Number of men = y
Total employees = x+y
Percentage of x = (x/(x+y))*100
Percentage of y = (y/(x+y))*100
Given, x = 11, y = 12
x+y = 23
Percentage of women = (11/23)*100 = 47.826 %
Percentage of men = (12/23)*100 = 52.173%
Therefore, The Store employees have 47.83% women and 52.17% men.
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Choose the linear equations.
Answer:
y = \(\frac{3}{3}\)x - 5
y = 2x + 5
Step-by-step explanation:
In linear equations, both variables x and y must have the exponent of 1 (i.e. they cannot have a small number at the top-right). And they cannot be in the exponents (i.e. cannot be the small number at the top-right).
Find the slant height of the cone. Round to the nearest tenth.
12
16
A)20.0
B)10.0
C)8.9
D)14.4
Answer:
a....12^2+16^2=20^2
Step-by-step explanation: