Answer:
Let q be the number of quarters and n be the number of nickels.
q + n = 108 ----> .25q + .25n = 27
.25q + .05n = 21 -------> .25q + .05n = 21
------------------------
.2n = 6
n = 30, q = 78
78 quarters, 30 nickels
Pavel hiked 6 miles on a camping trip. He hiked 3 times as many miles on his next camping trip. How many miles did Pavel hike altogether on the two trips? Part 1: True or False: The equation below can be used to find the answer.
Answer:
24 miles
Step-by-step explanation:
Alright so 6 miles times 3 miles is 18, so 18 miles plus 6 miles is 24 miles so 24 miles all together.
What is i^34?
A. -1
B. -i
C. 1
D. 1
Answer:
A.-1 all you had to do was look up the answer
Step-by-step explanation:
A hiker averages 1.4 mph downhill on a mountain trail and 0.8 mph uphill. Find the total time spent hiking in terms of the distance variable d. Remember: V = d / t.
Answer:
V=d/t.
V=(1.4)(0.8)÷8m/s
=0.14
Step-by-step explanation:
bali yung divide ay guhit sa baba
The total time spent hiking 0.14m
What is distance?Distance is defined as the product of speed and the time.
V=d/t.
t.V=(1.4)(0.8)÷8m/h
=0.14m
Hence, the total time spent hiking 0.14m
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Fiona was thinking of a number. Fiona doubles it and adds 5.1 to get an answer of 11.5.
what is the answer?
Answer:
3•2Step-by-step explanation:
let X be the unknown numberX × 2 = 2x2x + 5•1 = 11•52x = 11•5 - 5•12x = 6•4divide both sides by 2X = 3•2What is 3(b+8) in Distributive Property
Answer:
3b + 24
Step-by-step explanation:
3*b=3b
3*8=24
therefore the answer is 3b+24
Hope this helps:)...if not then sorry for wasting your time and may God bless you:)
Which equation represents the best estimate of how much more Brett painted than Sandy?
A. 12−12=0
B. 12−0=12
C. 1−12=12
D. 1 – 0 = 1
What is the probability of a rainbow is it unlikely,likely,equally likely, or certain pls help i would appreciate it
Answer:
equally likely
Step-by-step explanation:
Rainbows usually appear after it rains, but not always, there usually has to be certain specific conditions for it to happen.
Hope this helps! Have a good day! :)
Find the divergence of the vector field F
= r
and its flux through the surface S:{ a 2
x 2
+ a 2
y 2
+ a 2
z 2
=1,x>0,y>0,z>0}.
The divergence of the vector field F = r is 3, and its flux through the surface S is 2π/a³.
What is the divergence and flux of F = r through the surface S?To find the divergence of the vector field F = r = ⟨x, y, z⟩, where ⟨x, y, z⟩ represents the position vector, we need to compute the divergence operator (∇ · F).
The divergence of a vector field F = ⟨F₁, F₂, F₃⟩ is given by the following formula:
∇ · F = ∂F₁/∂x + ∂F₂/∂y + ∂F₃/∂z
Let's compute the partial derivatives of each component of F:
∂F₁/∂x = ∂x/∂x = 1
∂F₂/∂y = ∂y/∂y = 1
∂F₃/∂z = ∂z/∂z = 1
Therefore, the divergence of F is:
∇ · F = ∂F₁/∂x + ∂F₂/∂y + ∂F₃/∂z
= 1 + 1 + 1
= 3
Now, let's find the flux of F through the surface S, which is defined by the equation: a²x² + a²y² + a²z² = 1, with x > 0, y > 0, z > 0.
To calculate the flux, we can use the divergence theorem, which states that the flux of a vector field F through a closed surface S is equal to the triple integral of the divergence of F over the volume enclosed by S.
The flux through the surface S is given by the following integral:
Φ = ∬S F · dA
where dA represents the differential area vector of the surface S.
Since S is a sphere centered at the origin with a radius of 1/a, we can express dA in spherical coordinates as dA = r² sinθ dθ dφ, where r = 1/a is the radius, θ represents the polar angle, and φ represents the azimuthal angle.
Thus, the flux Φ can be calculated as:
Φ = ∬S F · dA
= ∫₀²π ∫₀⁺²π/² √(1/a²) · ⟨1/a, θ, φ⟩ · (1/a)² sinθ dθ dφ
Simplifying the expression:
Φ = ∫₀²π ∫₀⁺²π/² (1/a³) sinθ dθ dφ
= (1/a³) ∫₀²π [−cosθ]₀⁺²π/² dφ
= (1/a³) ∫₀²π (−cos(2π/2) − (−cos(0))) dφ
= (1/a³) ∫₀²π (−cos(π)) dφ
= (1/a³) ∫₀²π (−(−1)) dφ
= (1/a³) ∫₀²π (1) dφ
= (1/a³) [φ]₀²π
= (1/a³) (2π − 0)
= 2π/a³
Therefore, the flux of the vector field F through the surface S is 2π/a³.
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Which r-value represents the weakest correlation
a.-0.75 ,
b. -0.27,
c. 0.11,
d. 0.54
The weakest correlation is represented by the value of c. 0.11.
The weakest correlation is represented by the value that is closest to zero, as it indicates a weaker relationship between the variables. In this case, the answer is: c. 0.11
A correlation coefficient of 0.11 is closer to zero than the other options provided, indicating a weaker correlation compared to the rest. The negative values (-0.75 and -0.27) represent negative correlations, but their magnitudes are larger than 0.11, making them stronger correlations (although still considered weak in general). The positive value of 0.54 represents a moderate positive correlation.
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Find the measure of arc EB. Circle A is intersected by line CD at points D and E and line CB at point B, forming angle ECB outside of the circle, the measure of angle ECB is 25 degrees, arc EB is 4x plus 16 degrees, and arc DB 7x plus 6 degrees.
Answer:
\(m\widehat {EB}\) = 96°
Step-by-step explanation:
From the figure attached,
m∠ECB = 25°
\(m\widehat {EB}={(4x+16)}\) degrees
\(m\widehat{DB}=(7x+6)\) degrees
From the theorem of secants intersecting outside the circle,
m∠ECB = \(\frac{1}{2}[m\widehat {DB}-m\widehat{EB}]\)
25° = \(\frac{1}{2}[(7x + 6) - (4x + 16)]\)
25° = \(\frac{1}{2}(3x-10)\)
50 = 3x - 10
3x = 60
x = \(\frac{60}{3}\)
x = 20
\(m\widehat {EB}\) = (4 × 20 + 16)°
= (80 + 16)°
= 96°
Therefore, measure of arc EB is 96°.
Answer:
96°
Step-by-step explanation:
Got it right on the test
what does -11 - (-6) =
Answer:
-5
Step-by-step explanation:
What is the midline equation of the function g(x) = 2 cos(7x + 5) + 1?
Answer:
y = 1
Step-by-step explanation:
The midline of h(x) = 2 cos(7x + 5) is y = 0.
The graph of g(x) = 2 cos(7x + 5) + 1 is the same, except that the entire graph of h(x) is translated up by 1 unit.
Thus, the midline of g(x) = 2 cos(7x + 5) is y = 1.
In the circle below, if arc AB = 104 ° and arc CD = 26 °, find the measure of < BPA.
Find the area of the region enclosed by one loop of the curve. r = sin(10)
The curve given by r = sin(10) is a polar curve with one loop.
To find the area enclosed by one loop of the curve, we can use the formula for the area of a polar region, which is given by:
A = (1/2)∫θ2θ1 [r(θ)]^2 dθ
Since the curve has one loop, we need to find the values of θ that correspond to one complete revolution around the origin. Since sin(θ) has period 2π, we have:
r = sin(10) = sin(10 + 2π) for all values of θ
So, one complete revolution occurs when θ increases from 0 to 2π. Thus, the area enclosed by one loop of the curve is:
A = (1/2)∫02π [sin(10)]^2 dθ
Using the identity sin^2(θ) = (1/2)(1 - cos(2θ)), we can simplify this integral to:
A = (1/2)∫02π (1/2)(1 - cos(20θ)) dθ
Simplifying further, we get:
A = (1/4)∫02π (1 - cos(20θ)) dθ
Evaluating this integral gives:
A = (1/4) [θ - (1/20)sin(20θ)]02π
A = (1/4) (2π)
A = π/2
Therefore, the area enclosed by one loop of the curve r = sin(10) is π/2 square units.
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The costs of repairing iPads in UAE are normally distributed with a mean of 173 Dhs. If
3%
of the costs exceed 243 Dhs, find the standard deviation of the costs. Round your answer to the nearest diham (Whole number).
The standard deviation of the costs is 37 Dhs
The given mean is 173 and 3% of costs exceed 243. We have to calculate the standard deviation of the cost. Therefore, let's first start by calculating the z-score as follows;z-score formula = `(x - μ) / σ`z-score = `243 - 173 / σ`z-score = `70 / σ`We need to find the standard deviation of the costs. Since the z-score formula includes standard deviation, we can first calculate the z-score and then use it to calculate the standard deviation.Using the z-table, we can find the z-score for 3% = -1.88-1.88 = (243 - 173) / σσ = (243 - 173) / -1.88σ = -70 / -1.88σ = 37.23≈ 37The standard deviation of the costs is 37 Dhs. Hence, the correct option is as follows.Option D is the correct option.
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57% of people in state prisons for drug offenses in the us are african american. what percentage of illicit drug users in the us are african american?
The percentage of illicit drug users in the US are African American is a. 14%
According to data from the National Survey on Drug Use and Health, in 2019, 14.5% of African Americans reported using illicit drugs in the past month, compared to 12.4% of the overall population. While African Americans are overrepresented in state prisons for drug offenses, they do not use drugs at a significantly higher rate than other racial and ethnic groups.
It's important to note that drug use is a complex issue with many social and economic factors at play. It's crucial to approach drug use and addiction with a public health perspective that prioritizes prevention, treatment, and harm reduction over punitive criminal justice approaches.
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Your question is incomplete, but probably the complete question is :
57% of people in state prisons for drug offenses in the US are African American. What percentage of illicit drug users in the US are African American?
a. 14%
b. 28%
c. 42%
d. 56%
Karem drives his car and 96 miles in 1 1/2 hours of karem continues to drive at this rate how many miles will you travel in 2 1/2 hours?
Answer:you have to find how much hrs are together the multiply by 2 and dived really i just need points
Step-by-step explanation:
The ratio of the interior angles of a triangle is 1 : 3 : 5. What are the angle measures? Write the angle measures from least to greatest.
Answer:
angles
1x
3x
5x
1x +3x +5x = 180 (ASP)
9x = 180
x= 180÷9
x= 20
1x= 20
3x= 60
5x=100
angles are 20°, 60°, 100°
Step-by-step explanation:
hope it helps u
You may need to use the appropriate appendix table or technology to answer this question The life expectancy of a particular brand of tire is normally distributed with a mean of 50,000 miles and a standard deviation of 5,000 miles. What percentage of tires will have a life of 45,000 to 55,000 miles 15.87% 31.73% 68,27% 84.13%
The percentage of tires that will have a life of 45,000 to 55,000 miles is 68.27%. So the correct option is 68.27%.
To find the percentage of tires that will have a life of 45,000 to 55,000 miles, we can use the concept of the normal distribution.
First, we calculate the z-scores for both values using the formula:
z = (x - mean) / standard deviation
For 45,000 miles:
z1 = (45,000 - 50,000) / 5,000 = -1
For 55,000 miles:
z2 = (55,000 - 50,000) / 5,000 = 1
Next, we look up the corresponding values in the standard normal distribution table. The table will provide the proportion of data within a certain range of z-scores.
The percentage of tires with a life between 45,000 and 55,000 miles is the difference between the cumulative probabilities for z2 and z1.
Looking at the standard normal distribution table, the cumulative probability for z = -1 is 0.1587, and the cumulative probability for z = 1 is 0.8413.
Therefore, the percentage of tires that will have a life of 45,000 to 55,000 miles is:
0.8413 - 0.1587 = 0.6826
Converting this to a percentage, we get:
0.6826 * 100 = 68.26%
So the correct answer is 68.27%.
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: Let S = {1,2,3,...,18,19). Let R be the relation on S defined by xRy means "xy is a square of an integer". For example 1R4 since (1)(4) = 4 = 22. a. Show that R is an equivalence relation (i.e. reflexive, symmetric, and transitive). b. Find the equivalence class of 1, denoted 7. c. List all equivalence classes with more than one element.
a. The relation R defined on the set S = {1, 2, 3, ..., 18, 19} is an equivalence relation. It is reflexive, symmetric, and transitive, b. The equivalence class of 1, denoted [1], consists of the perfect squares in S: {1, 4, 9, 16}, c. The equivalence classes with more than one element are [1], [2], [3], ..., [18], and [19]. Each equivalence class represents a set of numbers that are squares of integers.
a. To show that the relation R is an equivalence relation, we need to demonstrate that it is reflexive, symmetric, and transitive.
i. Reflexive: For R to be reflexive, every element in S must be related to itself. Since the square of any integer is still an integer, xRx holds for all x in S, satisfying reflexivity.
ii. Symmetric: For R to be symmetric, if xRy holds, then yRx must also hold. Since multiplication is commutative, if xy is a square of an integer, then yx is also a square of an integer. Hence, R is symmetric.
iii. Transitive: For R to be transitive, if xRy and yRz hold, then xRz must also hold. Since the product of two squares of integers is itself a square of an integer, xz is also a square of an integer. Thus, R is transitive.
b. To find the equivalence class of 1, denoted [1], we determine all elements in S that are related to 1 under R. In this case, [1] consists of the perfect squares in S: {1, 4, 9, 16}.
c. The equivalence classes with more than one element are [1], [2], [3], ..., [18], and [19]. Each equivalence class represents a set of numbers that are squares of integers. The equivalence class [1] includes all perfect squares in S, while the other equivalence classes consist of a single element, which are non-square integers.
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Let f(x) = 2x² - 3x and g(x) = 5x - 1.
Find g[f(2)].
g[f(2)] =
Answer:
Step-by-step explanation:
To find g[f(2)], we need to evaluate the composite function g[f(2)] by first finding f(2) and then substituting the result into g(x).
Let's start by finding f(2):
f(x) = 2x² - 3x
f(2) = 2(2)² - 3(2)
= 2(4) - 6
= 8 - 6
= 2
Now that we have the value of f(2) as 2, we can substitute it into g(x):
g(x) = 5x - 1
g[f(2)] = g(2)
= 5(2) - 1
= 10 - 1
= 9
Therefore, g[f(2)] is equal to 9.
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. Use the following diagram, solve for x.
a bitmap is a grid of square colored dots, called
Answer:
Step-by-step explanation:
A bitmap is a digital image format that is made up of a grid of square colored dots called pixels.
Each pixel in the bitmap contains information about its color and position, which allows the computer to display the image on a screen or print it on paper. Bitmaps are commonly used for photographs, illustrations, and other complex images that require a high degree of detail and color accuracy.
However, because bitmaps store information for each individual pixel, they can be memory-intensive and may result in large file sizes. Additionally, resizing a bitmap can lead to a loss of quality, as the computer must either interpolate or discard pixels to adjust the image size.
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Suppose a company wants to Introduce a new machine that will produce a rate of annual savings (in dollars) given by the function S'(x), where is the number of years of operation of the machine, while producing a rate of annual costs (in dollars) given by the function CX) 14 8'6x + 228 -x? C'wy? al For how many years will be profitable to use this new machine? The number of profitable years is 10 SOV F t. What are the net total savings during the first year of use of the machine? The net total savings during the last year of use of the machine is Round to the nearest dollar as needed) WI c. What are the net total savings over the ordre porlod of use of the machine ert son The net tett saving over the entire period of ute of the machine is lound (Round to the nearestar as needed) Wha 10 im 3.0 Tenor found Suppose a company wants to introduce a new machine that will produce a rate of annual of operation of the machine, while producing a rate of annual costs (in dollars) given by the S'(x) = 228 – x?. C'(x)=x2: + 14 5 X a. For how many years will it be profitable to use this new machine? The number of profitable years is 10 V b. What are the net total savings during the first year of use of the machine? The net total savings during the first year of use of the machine is $ (Round to the nearest dollar as needed) c. What are the net total savings over the entire period of use of the machine? The net total savings over the entire period of use of the machine is $ (Round to the nearest dollar as needed.) 13 m 3,0
It will be profitable to use the new machine for approximately 10 years, considering positive values for the years of operation.
To determine the number of profitable years, we need to find the years of operation where the savings (S'(x)) outweigh the costs (C'(x)).
Given:
S'(x) = 228 - x
C'(x) = x^2 + 14.5x
To find the profitable years, we need to equate the savings and costs and solve for x:
228 - x = x^2 + 14.5x
Rearranging the equation:
x^2 + 15.5x - 228 = 0
Using the quadratic formula, we find:
x = (-15.5 ± √(15.5^2 - 4(1)(-228))) / (2(1))
Calculating the discriminant:
Δ = 15.5^2 - 4(1)(-228) = 3812.25
Since the discriminant is positive, there are two distinct real solutions. However, we are only interested in positive values for x, representing the years of operation.
x = (-15.5 + √3812.25) / 2 ≈ 11.26 (approx.)
x = (-15.5 - √3812.25) / 2 ≈ -26.76 (approx.)
Since the number of years cannot be negative, the machine will be profitable to use for approximately 11 years.
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Determine the formal charge on the bromine atom in the following structure. If the atom is formally neutral, indicate a charge of zero.
The formal charge on the bromine atom in the given structure is zero, indicating that it is formally neutral.
To determine the formal charge on an atom, we compare the number of valence electrons the atom should have (based on its position in the periodic table) with the number of electrons it actually has in the structure. The formula to calculate the formal charge is as follows:
Formal Charge = Valence Electrons - Lone Pair Electrons - 1/2 * Bonding Electrons
In the given structure, if we count the valence electrons on the bromine atom, we find that it has 7 valence electrons. Looking at the structure, we can see that bromine is surrounded by three bonds and one lone pair of electrons. Each bond contributes two electrons, and the lone pair contributes two electrons as well. Plugging these values into the formal charge formula, we get:
Formal Charge = 7 - 2 - 1/2 * 6 = 7 - 2 - 3 = 2 - 3 = -1
However, this formal charge of -1 does not accurately represent the bromine atom in the given structure. In reality, the bromine atom has an expanded octet, meaning it can accommodate more than eight valence electrons. The formal charge of -1 suggests that the bromine atom has an extra electron, which is not the case in this structure. Therefore, the more accurate formal charge for the bromine atom is zero, indicating that it is formally neutral.
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Ryan's school is selling tickets to a spring musical. On the first day of ticket sales the school sold
5 adult tickets and 8 child tickets for a total of $130. The school took in $210 on the second day
by selling 13 adult tickets and 8 child tickets. Find the price of an adult ticket and the price of a
child ticket.
Answer:
I DONT KNOW!
Step-by-step explanation:
Francesca is painting a picture of the purple flowers in her garden. She mixes paint to make the perfect color for each type of flower. For the daisies, she mixes 2 ounces of white paint and 5 ounces of purple paint. For the tulips, she mixes 3 ounces of white paint and 6 ounces of purple paint. Which flower is a darker shade of purple?
Find total ounces mixed for each flower:
Daisies = 2+5 = 7 ounces
Tulips = 3 +6 = 9 ounces
Now find the ratio of purple to white for each one:
Daisies = 5/7 = 0.714
Tulips = 6/9 = 0.666
Daisies have more purple so would be the darker ones.
Answer:
Daisies
Step-by-step explanation:
IXL told me it was right
Order the steps to solve the problem please help
Answer:
C
Step-by-step explanation:
the correct option is C
lim x approaches infinity (2x-1)(3-x)/(x-1)(x+3) is
The limit of (2x-1)(3-x)/(x-1)(x+3) as x approaches infinity is 0.
To find the limit of the function (2x-1)(3-x)/(x-1)(x+3) as x approaches infinity, we will divide both the numerator and denominator through the highest power of x. In this case, the highest power of x is x², so we can divide both the numerator & the denominator through x²:
\([(2x-1)/(x^2)] * [(3-x)/((x-1)/(x^2)(x+3))]\)
Now, as x approaches infinity, every of the fractions within the expression procedures zero except for (2x-1)/(x²). This fraction techniques 0 as x procedures infinity because the denominator grows quicker than the numerator. therefore, the limit of the expression as x strategies infinity is:
0 * 0 = 0
Consequently, When x gets closer to infinity, the limit of (2x-1)(3-x)/(x-1)(x+3) is 0.
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An assembly is being produced, as shown in the figure, which is adding a cylinder to the right face of a cube. The variables defined arc the following. x_1 ~ N(l0, 0.1^2), x_2 ~ N(10, 0.1^2), x_3 ~ N(l0, 0.1^2), length, width and height of the cube h ~ N(8, 0.1^2), height of the cylinder r ~ N(5, 0.1^2), radius of the cylinder pi=3.14 Assuming all the variables to be independent, what arc approximate values for the and variance of the assembly volume?
The approximate mean of the assembly volume is 3144.52 cubic units, and the approximate variance is 190.91 cubic units squared.
The volume of the assembly can be calculated as the sum of the volume of the cube and the volume of the cylinder. The volume of the cube is given by length times width times height, while the volume of the cylinder is given by pi times the radius squared times the height.
The mean of the assembly volume can be calculated by taking the expected value of the sum of the individual components, while the variance of the assembly volume can be calculated by summing the variances of the individual components.
Using the given mean and variance values for each variable and the formulas for the volumes of the cube and cylinder, we can calculate an approximate mean and variance for the assembly volume.
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