Answer:
Step-by-step explanation:
#1
Which statement is true
A. If a relationship is non - linear, it is not a function
B. A graph of a curve is linear
C. A graph that shows a constant rate of change is linear
D. A non - linear relationship has a constant slope.
Answer:
C is correct
Step-by-step explanation:
I just know this from having previously learned it, I'm not sure how to explain it but hope the answer helps!
A translation moves P(0,5) to P'(3,1). What are the coordinates of the image
of point (-3,-5) under the same translation?
Answer:
xxxxxxzzzjjznzjsbsbsbshj
Step-by-step explanation:
sekjxhxjdjdknxxbbxjdkekmdkdkddo
A contractor needs to buy nails to build a house. The nails come in small boxes and large boxes. Each small box has 50 nails and each large box has 350 nails. The contractor bought a total of 13 boxes that have 3350 nails altogether. Determine the number of small boxes purchased and the number of large boxes purchased.
The number of small boxes purchased = 4
and the number of large boxes purchased = 9
According to the given question, a contractor needs to buy nails to build a house.
The nails come in small boxes and large boxes. Each small box has 50 nails and each large box has 350 nails. The contractor bought a total of 13 boxes that have 3350 nails altogether.
Let x be the number of small boxes and y be the number of large boxes.
The contractor bought a total of 13 boxes that have 3350 nails altogether.
x + y = 13 ...............(1)
50x + 350y = 3350 ..........(2)
We solve above system of equations.
From equation (1),
x = 13 - y ...........(3)
Substitute x = 13- y in equation (2)
50(13 - y) + 350y = 3350
650 - 50y + 350y = 3350
300y = 2700
y = 9
Substitute above value of y in equation (3),
x = 13 - 9
x = 4
Therefore, the number of small boxes purchased = 4
and the number of large boxes purchased = 9
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A pharmacist mixes 5g of a power with 45cm of water to make a prescription medicine . how much powder should she mix with 81cm of water to make a larger amount of the same medicine.
The pharmacist should mix 9 g of a power to make a larger amount of the medicine
To solve this problem, we have to state the equation using the information of the problem
Information about the problem:
mass(1) = 5gvolume(1) = 45 cm3volume(2)= 81 cm3mass(2) = ?Calculating the rate of the medicine with the 1st mixed:
rate = mass(1)/ volume(1)
rate = 5g / 45cm3
rate = 0.11 g/cm3
Calculating how much power the pharmacist needs for the volume(2):
mass(2) = rate * volume(2)
mass(2) = 0.11 g/cm3 * 81 cm3
mass(2) = 9 g
What are algebraic operations?We can say that they are the set of numbers and symbols that are related by the different mathematical operation signs such as addition, subtraction, multiplication, division among others.
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Verify Green's Theorem in the plane for F = xy i + x^2 j and where C is the boundary of the region between the graphs of y = x^2 and y = 1.
Verify Stokes's Theorem for F = (z – y) i + (x − z)j+(x − y)k and S : z = √1−x^2−y^2. Assume outward normal.
Verify Gauss Divergence Theorem for F = xy^2 i + yx^2 j + ek^ for the solid region D bounded by z = √x^2+y^2 and z = 4.
Green's Theorem can be defined as the relationship between a line integral and a double integral over a plane region. It is named after the mathematician George Green. Gauss's Divergence Theorem can be defined as the relationship between a flux integral and a triple integral over a region.
Here, we need to verify Green's Theorem in the plane for the vector field F = xy i + x² j and where C is the boundary of the region between the graphs of y = x²
and y = 1.
Stokes's Theorem states that a line integral of a vector field around a closed loop is equal to a surface integral of the curl of the vector field over the surface bounded by the loop. The surface integral of the curl over S is∫∫S (curl F).dS= ∫∫S (-2i - 2j - 2k).(√(2 - 2x² - 2y²) dA)= -2 ∫∫S √(2 - 2x² - 2y²) dA We can change to polar coordinates to evaluate the integral. In polar coordinates, the integral becomes∫(0,2π)∫(0,1) √(2 - 2r²) r drdθ= 2π/3
Hence, by Stokes's Theorem, the line integral of F around any closed curve C in S is equal to -2π/3 times the area enclosed by C. Gauss's Divergence Theorem can be defined as the relationship between a flux integral and a triple integral over a region. Here, we need to verify the Gauss Divergence Theorem for F = xy² i + yx² j + ek for the solid region D bounded by z = √(x² + y²) and z = 4.The divergence of F is∇. F = (∂P/∂x + ∂Q/∂y + ∂R/∂z)
= y² + x²
Since the region D is a solid, we need to use the divergence theorem in its integral form:∫∫S F.N dS = ∫∫∫D ∇.F dV Here, S is the surface of the solid D and N is the outward unit normal vector to S. the Gauss Divergence Theorem is verified for the given F and region D.
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50 points!
In the morning, Devin drives to work at an average speed of 45 miles per hour
If the distance from Devin’s home to his workplace is 13 miles then his expected amount of time to get to work is ____ minutes.
PLEASE EXPLAIN YOUR ANSWER
Answer: 17.33 minutes
Step-by-step explanation:
To solve for time use the formula for time, t = d/s which means time equals distance divided by speed.
time = distance/speed
45/13= 0.288888
0.288888 * 60 (for minutes) = 17.33
Identify the percent increase or decrease to the nearest percent.
from 25 to 86
Step-by-step explanation:
To find the percentage increase, we use the following formula:
percentage increase = (new value - old value) / old value * 100%
In this case, the old value is 25 and the new value is 86. So, we can plug these values into the formula:
percentage increase = (86 - 25) / 25 * 100% = 244%
Therefore, the percentage increase from 25 to 86 is approximately 244%.
Answer:
244% increase
Step-by-step explanation:
what is (fxg)(x)
f(x)=x^3-4x+2
g(x)=x^2+2
Answer: x^6+6x^4+8x^2+2
Step-by-step explanation:
Since g comes after f then you will take g's equation and plug it into the f equation so it would turn out to be if you plugged it in
(x^2+2)^3-4(x^2+2)+2 which would equal x^6+6x^4+8x^2+2
HELP PLZ ITS TIMED
Its timed :(
Answer:
Its's 96
Step-by-step explanation:
2x + 6 is equal to 96
What is the surface area and volume of a pentagonal prism?
The surface area and volume of a pentagonal prism is 5/2 × a² × √(5 + 2√5) + 5ab and (1/4) × (5 + 2√5) × a² × h respectively. We can find the solution in the following manner.
A pentagonal prism is a three-dimensional geometric shape that consists of two parallel pentagons as the top and bottom faces, and five rectangular faces connecting them.
To find the surface area and volume of a pentagonal prism, we need to know its height, the length of the sides of the pentagon, and the length of the rectangular faces.
Let's denote the height of the pentagonal prism as "h", the side length of the pentagon as "a", and the length of the rectangular face as "b".
Surface Area of a Pentagonal Prism:
The surface area of a pentagonal prism is the sum of the areas of its faces. There are two pentagonal faces and five rectangular faces in a pentagonal prism.
Area of each pentagonal face = 5/4 × a² × √(5 + 2√5)
Area of each rectangular face = a × b
Total surface area = 2 × Area of pentagonal face + 5 × Area of rectangular face
= 5/2 × a² × √(5 + 2√5) + 5ab
Volume of a Pentagonal Prism:
The volume of a pentagonal prism is given by the formula:
Volume = (1/4) × (5 + 2√5) × a² × h
Therefore, the surface area and volume of a pentagonal prism can be calculated using the above formulas, given the values of a, b, and h.
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The surface area and volume of a pentagonal prism is sum of the areas of its faces, and (1/4) × (5 + 2√5) × a² × h.
A pentagonal prism is a three-dimensional geometric shape that consists of two parallel pentagons as the top and bottom faces, and five rectangular faces connecting them.
Surface Area of a Pentagonal Prism:
The surface area of a pentagonal prism is the sum of the areas of its faces. There are two pentagonal faces and five rectangular faces in a pentagonal prism.
Total surface area = 2 × Area of pentagonal face + 5 × Area of rectangular face
Volume of a Pentagonal Prism:
The volume of a pentagonal prism is given by the formula:
Volume = (1/4) × (5 + 2√5) × a² × h
Therefore, the surface area and volume of a pentagonal prism can be calculated using the above formulas, given the values of a, b, and h.
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based on a random sample of 1000 mosquitoes, 280 of them carried west nile virus. the 90% confidence interval for the true proportion of west nile virus infected mosquitoes is (0.26, 0.30). if we use a 95% confidence level instead of a 90% confidence level, will the confidence interval calculation from the same data produce an interval wider than (0.26, 0.30)?
If we use a 95% confidence level instead of a 90% confidence level, the confidence interval calculation from the same data will produce an interval wider than (0.26, 0.30).
In this question we have been given that a random sample of 1000 mosquitoes, 280 of them carried west nile virus. the 90% confidence interval for the true proportion of west nile virus infected mosquitoes is (0.26, 0.30).
We need to determine if we use a 95% confidence level instead of a 90% confidence level, whether the confidence interval calculation from the same data produce an interval wider than (0.26, 0.30) or not.
We know that the greater the confidence level, the wider the confidence interval.
This means, if we use a 95% confidence level instead of a 90% confidence level, the confidence interval calculation will produce the wider interval.
Therefore, for given sample 95% confidence interval calculation will produce the wider interval.
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Please please help pleaseeeeee
also .. it wouldnt let me crop the photo ..
WHAT IS THE CONFIDENCE LEVEL FOR THE FOLLOWING NUMBERS
Confidence Interval Question: What is the Confidence Interval for the following numbers: a random sample of 53 with sample proportion \( 0.88 \) and confidence of \( 0.94 \) ? Level of difficulty \( =
The confidence interval for the given numbers, with a sample proportion of 0.88 and a confidence level of 0.94, is approximately (0.798, 0.962) when rounded to two decimal places.
To calculate the confidence interval for a random sample with a sample proportion of 0.88 and a confidence level of 0.94, we can use the formula:
\[ \text{Confidence Interval} = \text{Sample Proportion} \pm \text{Margin of Error} \]
The margin of error can be calculated using the formula:
\[ \text{Margin of Error} = \text{Critical Value} \times \text{Standard Error} \]
The critical value can be obtained from the Z-table or calculated using the inverse cumulative distribution function for the standard normal distribution.
Since the level of difficulty is set to 2, we can assume a two-tailed test. The critical value for a 94% confidence level with a two-tailed test is approximately 1.99.
The standard error can be calculated using the formula:
\[ \text{Standard Error} = \sqrt{\frac{\text{Sample Proportion} \times (1 - \text{Sample Proportion})}{\text{Sample Size}}} \]
Plugging in the values:
Sample Proportion (\( p \)): 0.88
Sample Size (\( n \)): 53
Confidence Level: 0.94
Critical Value (\( z \)): 1.99
We can calculate the standard error:
\[ \text{Standard Error} = \sqrt{\frac{0.88 \times (1 - 0.88)}{53}} \]
Now, we can calculate the margin of error:
\[ \text{Margin of Error} = 1.99 \times \text{Standard Error} \]
Finally, we can calculate the confidence interval:
\[ \text{Confidence Interval} = 0.88 \pm \text{Margin of Error} \]
Calculating the values:
Standard Error ≈ 0.041
Margin of Error ≈ 0.082
Confidence Interval ≈ (0.798, 0.962)
Therefore, the confidence interval for the given numbers, with a sample proportion of 0.88 and a confidence level of 0.94, is approximately (0.798, 0.962) when rounded to two decimal places.
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HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP
HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP
Answer: 9x^2-48x+64
I was wrong originally
I am so sorry
Step-by-step explanation:
(3x-8)(3x-8)
9x^2-24x-24x+64
9x^2-48x+64
I need help plz aijahsg
Answer:
0.95
Step-by-step explanation:
I have 4 and 11/12 . how much do i need to add to get 6 and 1/2
Answer:
= 1 7/12
Step-by-step explanation:
6 1/2 - 4 11/12 =
6 6/12 - 4 11/12 =
5 18/12 - 4 11/12 =
=1 7/12
To check if the answer is right or wrong, you can add 1 7/12 to 4 11/12
4 11/12 + 1 7/12 = 5 18/12 = 6 6/12 = 6 1/2
Hope this helps and pls do mark me brainliest if you can:)
At the beginning of the business day a bank vault had $575,900. By the end of the day, $ (3.5 x 10^3) have been added to the vault how much money did the banks fault told at the end of the business day write your answer in standard form.
9514 1404 393
Answer:
$579,400
Step-by-step explanation:
The total will be ...
$575,900 +3.5×10³ = $575,900 +3,500 = $579,400
At the end of the day, the vault held $579,400.
the value of [{(6to the power 2+8 to the power 2)to the power 1/2}]to the power 3
Answer:
Step-by-step explanation:
\([(6^{2}+8^{2})^{\frac{1}{2}}]^{3} = [(36+64)^{\frac{1}{2}}]^{3}\\\\= [(100)^{\frac{1}{2}}]^{3}\\\\= 10^{3}\\\\= 1000\)
Find and classify the critical points of f(x,y)=8r³+ y² + 6xy
The critical points of the function are (0, 0) and (3/4, -9/4), To classify the critical points, we need to examine the second partial derivatives of f(x, y) at each point
To find the critical points of the function f(x, y) = 8x^3 + y^2 + 6xy, we need to find the values of (x, y) where the partial derivatives with respect to x and y are equal to zero.
Taking the partial derivative with respect to x, we have:
∂f/∂x = 24x^2 + 6y = 0.
Taking the partial derivative with respect to y, we have:
∂f/∂y = 2y + 6x = 0.
Solving these two equations simultaneously, we get:
24x^2 + 6y = 0,
2y + 6x = 0.
From the second equation, we can solve for y in terms of x:
Y = -3x.
Substituting this into the first equation:
24x^2 + 6(-3x) = 0,
24x^2 – 18x = 0,
6x(4x – 3) = 0.
Therefore, we have two possibilities for x:
1. x = 0,
2. 4x – 3 = 0, which gives x = ¾.
Substituting these values back into y = -3x, we get the corresponding y-values:
1. x = 0 ⇒ y = 0,
2. x = ¾ ⇒ y = -9/4.
Hence, the critical points of the function are (0, 0) and (3/4, -9/4).
To classify the critical points, we need to examine the second partial derivatives of f(x, y) at each point. However, since the original function does not provide any information about the second partial derivatives, further analysis is required to classify the critical points.
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Which shows the best estimate of the quotient of 377÷ 12? between 20 and 30 between 30 and 40 between 200 and 300 between 300 and 400
Answer:between 30 and 40
Step-by-step explanation:
Answer:
ikfffghhhhhhggggy7
Step-by-step explanation:
xvgdedfgfffrtttttgggg
An engineer is designing a runway for an airport. Several planes will use the runway and the engineer must design it so that it is long enough for the largest planes to become airborne before the runway ends. If the largest place accelerates at 3.30 m/s^2 and has a takeoff speed of 88.0 m/s then what is the minimum allowed length for the runway?
Answer:
d=117.33 m
Step-by-step explanation:
Initial velocity of planes, u = 0 (because they are at rest)
Acceleration, a = 3.3 m/s²
Final take off speed, v = 88 m/s
We need to find the minimum allowed length for the runway. Let it is d. d will be the distance. It can be calculated using third equation of motion as follows :
\(v^2-u^2=2ad\\\\d=\dfrac{v^2-u^2}{2a}\)
Putting all the values, we get :
\(d=\dfrac{88^2-0^2}{2\times 33}\\\\d=117.34\ m\)
Hence, the minimum allowed length for the runway is 117.33 m.
a piece of solid aluminum is in the shape of a cube. if the temperature of the cube is increased so that the length of each side increases by a factor of 0.001 (that is, by 0.10%), by what factor does the volume of the cube increase?
The factor by which the volume of cube increased is 0.0030
What is a cube ?
A cube is a three-dimensional solid object in geometry that is surrounded by six square faces, facets, or sides, three of which meet at each vertex. One of the five Platonic solids, the cube is the only regular hexahedron. It contains 8 vertices, 6 faces, and 12 edges.
The fundamental distinction between a cube and a square is that the former has three dimensions—length, breadth, and height—while the latter only has two. A cube is composed of squares, which are a type of 2-dimensional (2D) shape (such as a circle, square, triangle, etc.).
let l be the side of a cube
the new length of cube is l' = 1.001l
Initial volume (v1) = l³
final volume (v2) = (1.001)³l³
The factor by which the volume increased is = v1 / v2
= ((1.001)³l³ - l³)/l³
= 0.003003
= 3 x 0.001
≅ 0.0030
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Ronny carried his guitar one kilometer from his office to his recording studio.
To get home from his studio, Ronny must walk twice the distance from his
office to his studio. If the variable d stands for the distance Ronny can walk,
which of the following units could apply to that variable?
A. gallons
ОО
B. pounds
O
C. kilometers
D. inches
Help ASAP plz
Answer:
kilometers, C
Step-by-step explanation:
office ➡️ recording studio = 1km
recording studio ➡️ home = twice the distance = 2km
distance Ronny can walk, d
= 2km + 1km
= 3km
in using the standard normal distribution to establish a confidence interval for the average time to complete a stock trade, what is the appropriate z-value to use for a 98.54% level of confidence.
2.18 is the right z-value to utilize for a level of confidence of 98.54%.
Assuming a two-sided confidence interval,
(100-98.54)/2 = 1.46
Lower percentile = 1.46%
In terms of the information that is provided, we have that the percentile is the 3-th percentile.
We need to find the z-score associated to this percentile. How do you we do so? We need to find the
value z* that solves the equation below.
P(Z < z*) = 0.0146
The value of z" that solves the equation above cannot be made directly, it solved either by looking at
a standard normal distribution table or by approximation (the way Excel or this calculator does)
Then, it is found that that the solution is z* = -2.18
Therefore, it is concluded that the corresponding z-score associated to the given 2nd percentile is
Z =-2.18
The results found above are depicted graphically as follows:
The Z-score z = -2.18 is associated to the 2nd percentile
Hence, lower interval Z-score =-2.18
Since the standard normal distribution is symmetric around 0,
Therefore, upper interval Z-score = 2.18
Appropriate z-value =2.18
Hence, the appropriate z-value to use for a 98.54% level of confidence is 2.18
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Which choice is equivalent to the expression below?
-25
Answer:
5i
Step-by-step explanation:
Answer:
5i
Step-by-step explanation:
sqrt( -25)
Rewriting
sqrt( 25 * -1)
We know that sqrt(ab) = sqrt(a) sqrt(b)
sqrt(25) sqrt(-1)
We know that sqrt(-1) = i
±5 i
Evaluate h'(1) where h(x) = f(x) · g(x)
given the following.
• f(1) = 5
• f '(1) = −3.5
• g(1) = 3
• g'(1) = 2
Answer:
Explanation:
Quotient rule in differentiation
Select the correct answer. Which point lies on the circle represented by the equation (x − 3)2 + (y + 4)2 = 62?
The point that lies on the circle is represented by the equation (x−3)² + (y+4)² = 6² is (-3,-4).
What is an equation of a circle?A circle can be characterized by its center's location and its radius's length.
Let the center of the considered circle be at (h, k) coordinate. Let the radius of the circle be 'r' units.
Then, the equation of that circle would be:
(x-h)² + (y-k)² = r²
The sole point that lies on the circle when a circle is graphed with the equation on the graph and all the specified points are graphed is (-3,-4).
Consequently, the equation (x-3)² + (y+4)² = 6² represents the point on the circle (-3,-4).
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Kendra owns a restaurant. She charges $1.50 for 2 eggs and one piece of toast and $0.90 for one egg and one piece of toast. Write a system of equations that can be used to
determine how much she charges for each egg and each piece of toast.
Enter your answer in the space below.
√x
Answer:
Each egg costs $0.60
Each piece of toast costs $0.30
Step-by-step explanation:
Let's assume that the cost of a single egg is E
And the price of a toast as T
Kendra charges $1.50 for one toast and two eggs
The equation above will be
2E + T = $1.50
And the other equation is
E + T = $0.90
For the second equation, we make E the subject of the formula
E = 0.90 - T
Now substitute for this in equation 1
2E + T = 1.50
It will now be 2(0.90 - T) + T = 1.50
1.80 - 2T + T = 1.50
T= $0.30
price of one toast is $0.30
And now, for the price of an egg, we substitute T = 0.30 in the equation
E= $0.60
Help me please I’d really appreciate it right now .
Answer:
sales tax is $0.6
total cost is $20.60
Step-by-step explanation:
20*0.03=0.6
20*1.03=20.6
An analysis of variance is used to evaluate the mean differences for a research study comparing four conditions with a separate sample of n = 8 in each condition. If the data produce an F-ratio of F = 4.60, which of the following is the correct statistical decision?
a. There is not enough information to make a statistical decision.
b. reject the null hypothesis with either α = .05 or α = .01
c. reject the null hypothesis with α = .05 but not with α = .01
d. fail to reject the null hypothesis with either α = .05 or α = .01
Therefore, the correct statistical decision is (b) reject the null hypothesis with either α = .05 or α = .01.
To determine the correct statistical decision, we need to compare the calculated F-ratio to the critical F-value based on the degrees of freedom and the chosen alpha level (α).
The degrees of freedom for the numerator (df between) is k - 1, where k is the number of conditions (k = 4 in this case). The degrees of freedom for the denominator (df within) is N - k, where N is the total sample size (N = 8 * 4 = 32).
Using a significance level of α = .05, we can consult an F-table or use statistical software to find the critical F-value with (k-1) and (N-k) degrees of freedom. For this case, the critical F-value is 3.10.
Since the calculated F-ratio (F = 4.60) is greater than the critical F-value (3.10) at α = .05, we can reject the null hypothesis and conclude that there are statistically significant mean differences among the four conditions.
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