Answer:
Unit price= $4.30 create equation x= 4.50y
where x= total cost and y= $4.30
solve by multiplying $4.30x 4.50
x=$19.35
final answer: the total cost of the material was $19.35
Step-by-step explanation:
The height of a certain plant can be modeled by the formula h = 4 t + 5 where h is the height in millimeters and t is the time in days.
Answer:
The dependent variable is h and the independent variable is t
Step-by-step explanation:
Given
\(h(t) = 4t + 5\)
Required
The dependent and the independent variable
The \(dependent\) \(variable\)is the \(variable\) whose value \(depends\) on another.
In the above equation, the height (h) depends on time (t) for its value
Hence,
The \(depe ndent\) \(variable\) is h and the \(indep endent\) \(variable\) is t
order reads: klotrix 0.35 meq/lb po dissolved in 6 oz of orange juice at 8 am; available: klotrix 8 meq/ml. how many ml of klotrix will you add to the orange juice for a 20.5 kg patient? round your answer to the nearest tenth.
We will add 2 ml of klotrix to the orange juice for a 20.5kg patient.
We know that , 1 kg=2.20462 pounds
Therefore, 20.5kg=20.5x2.20462 pounds= 45.195 pounds or 45.195 lb
Additionally we have, 1 lb = 0.35 mEq
Therefore, 45.195 lb= 0.35 mEq × 45.195 = 15.818 mEq.
Also, 8mEq=1 mL
By using unitary method,
1 mEq=1/8 mL
Converting 15.818 mEq to mL, we get
15.818mEq = 15.818 ÷ 8 = 1.9 mL
Thus, 15.818mEq = 1.9 mL
Rounding off the answer we get,
The amount of klotrix required to add to the orange juice for a 20.5 kg patient is 2mL
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the regression sum of squares (ssr) can be greater than the total sum of squares (sst). group of answer choices true false
The given statement is False . That is regression sum of squares (ssr) can be greater than the total sum of squares (sst).
Regression sum of squares (ssr)
The sum of squares regression is the sum of the differences between the predicted value and the mean of the dependent variable.
SSR = ∑( yᵢ-cap - y-bar)² and i = 1 to N
Total Sum of Squares (SST) :
Total Sum of Squares is the deviation of the value of the dependent variable from the sample mean of the dependent variable. Essentially, the total sum of squares quantifies the total sample variation. It can be found using the formula:
SST = ∑(yᵢ - y-bar )²
The first is that the regression sum of squares cannot be computed as a total sum of squares. Let's find an explanation for this. We know that the sum of squares can be divided. There's the dualism of squares, some of the squares and regressions, sums of squares, dead food. A regression sum of squares is not formed, it is a total sum of squares. This means the statement is false. The next processing is the value, which is always positive, but we know that the value the confession of the adjustment, in the range -1 to 1.
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The rule of scientific notation is to write all exponents with a base of..?
A; 5
B: 10
C: 100
D: 50
Answer:
B!
Step-by-step explanation:
Let's use the number 5000 as an example... In scientific notation it would be written as 5•10^3 ('^' means exponents) No matter what it's always
n= s•10^e (Letters are random)
Hope this helped!
We have that Base of 10 is an established rule used by scientist all round the world and is a standard in most fields of learning
Option C
10
From the question we are told
The rule of scientific notation is to write all exponents with a base of..?
A; 5
B: 10
C: 100
D: 50
Generally
it goes without saying that the scientific notation is to write all exponents with a base of 10
This is an established rule used by scientist all round the world and is a standard in most fields of learning
Since
Base of 10 is an established rule used by scientist all round the world and is a standard in most fields of learning
Option C
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A sculpture is formed from a cylinder resting on top of a cuboid...
The cylinder has radius 40 cm and height 70 cm.
The cuboid measures 80 cm by 80 cm by 140 cm.
The sculpture is made of steel.
The steel has a density of 8.05 g/cm³.
Calculate the total mass of the sculpture in tonnes.
The most appropriate choice for volume of cuboid and cylinder will be given by-
Total mass of sculpture is 10.0464 tonnes
What is volume of cuboid and cylinder?
Cuboid is a three dimensional figure that has 6 faces, 12 edges and 8 vertices.
Volume of cuboid is given by the formula length \(\times\) breadth \(\times\) height
Cylinder is a three dimensional round figure that has two circular bases at the end
If r is the radius of the cylinder and h is the height of the cylinder, volume of the cylinder is given by the formula
V = \(\pi \times r^2 \times h\)
Here,
Radius of cylinder = 40 cm
Height of cylinder = 70 cm
Volume of cylinder = \(\pi \times r^2 \times h\)
= \(\frac{22}{7} \times (40)^2 \times 70\\\)
= 352000 \(cm^3\)
Length of cuboid = 80 cm
Breadth of cuboid = 80 cm
Height of cuboid = 140 m
Volume of cuboid = \(80 \times 80 \times 140\)
= 896000 \(cm^3\)
Total volume of sculpture = (352000 + 896000) \(cm^3\)
= 1248000 \(cm^3\)
Density of sculpture = 8.05 \(g / cm^3\)
Mass of sculpture = \(1248000 \times 8.05\)
= 10046400 g
= 10046.4 kg
= 10.0464 tonnes
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5. The state-space representation for 2x + 4x' + 5x = 10e¹ is 0 0 = [₁]. + + [9] e 98 99 910 0 1 6. Calculate the eigenvalue of the state-space coefficient matrix [-₁ using the methods -7a -2a demonstrated in your lecture notes (Note that a is a positive constant, do not assume values for a). If your eigenvalues are real and different, let ₁ be the smaller of the two eigenvalues when comparing their absolute values, for example, if your eigenvalues are -3 and 7, their absolute values are 3 and 7 with 3 < 7 and ₁ = -3. If your eigenvalues are a complex conjugate pair, let ₁ be the eigenvalue with the positive imaginary part. The eigenvalue you must keep is 2₁ : = q11a + 912 a j Note that if is real valued that 912 = 0 7. The general solution of a non homogeneous state-space equation is given below. Use the initial conditions to determine the value of C₁. X [*] = C₁ ¹² [2¹₁] + €₁₂-²¹ [ 2 ] + [4] given Xx(0) = 0,x(0) = 2 C₁e(2j) t C₂e-2jt x' You calculated that C₁ = 913+914 j Note that if C₁ is a real number that 914 = 0. et
The eigenvalue of the state-space coefficient matrix [-1] is λ = -1.
To calculate the eigenvalue of the state-space coefficient matrix [-₁, we need to use the methods demonstrated in the lecture notes. Let's proceed with the calculation.
To find the eigenvalues, we need to solve the characteristic equation |A - λI| = 0, where A is the coefficient matrix, λ is the eigenvalue, and I is the identity matrix.
The coefficient matrix is:
[-1]
Subtracting λ from the diagonal elements, the characteristic equation becomes:
|[-₁ - λ]| = 0
Expanding the determinant, we have:
(-₁ - λ)(- λ) - ( - ₁)(0) = 0
Simplifying further:
(λ + ₁)(λ) = 0
The eigenvalues are the values of λ that satisfy this equation. From the equation, we can see that there are two eigenvalues: λ = -₁ and λ = 0.
Now, we need to determine the value of ₁ based on the given conditions. Since the eigenvalues are real and different, we take the smaller absolute value, which is 0. Therefore, ₁ = 0.
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FILL IN THE BLANK. you must not pass on a curve or the crest of a hill if you cannot see at least ________ ahead.
You must not pass on a curve or the crest of a hill if you cannot see at least 500 feet ahead.
This statement is referring to a basic safety rule of driving. Passing on a curve or the crest of a hill can be very dangerous since visibility is limited, and the driver may not be able to see approaching vehicles until it is too late to avoid a collision.
The amount of distance that a driver must be able to see ahead before passing depends on various factors such as the speed of the vehicles, road conditions, and weather conditions.
However, a general rule of thumb is that a driver should be able to see at least 400 feet ahead before passing. This distance allows the driver enough time to react if another vehicle suddenly appears or if there is an obstacle on the road.
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What is sum of angles of a triangle class 7?
According to the triangle's "angle sum property," a triangle's interior angles add up to 180°.
The smallest polygon with three sides and three interior angles is a triangle.
A triangle is a three-sided polygon that consists of three vertices, three sides, and three angles. Three types of triangles—scalene, isosceles, and equilateral—can be distinguished based on the length of their sides.
It can be an acute-angled, obtuse-angled, or right-angled triangle depending on the size of its angles. A triangle's internal angles add up to 180 degrees. Two more terms—altitude and triangle median—are introduced to you in this essay.
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Which choice is equivalent to the quotient below when -2s x< 2? 14-x? v5 2 - x O A. 1 OB. +2+ x O c. w2+x-x O D. 12-*
we have the quotient
\(\frac{\sqrt[]{4-x^2}}{\sqrt[]{2-x}}\)\(\frac{\sqrt[]{4-x^2}}{\sqrt[]{2-x}}=\sqrt[]{\frac{4-x^2}{2-x}}=\sqrt[]{\frac{(2-x)(2+x)}{2-x}}=\sqrt[]{2+x}\)therefore
the answer is option BThe ratio of men to women working for a company is 7:5. If there are 192 employees total, how many women work for the company?
7:5 mean that to every 7 men there is 5 woman.
There are 54 women working for the company.
What is Ratio?The ratio is defined as a relationship between two quantities, it is expressed as one divided by the other.
The ratio of men to women working for the company is 7:5, which means that for every 7 men, there are 5 women.
We can express this as a fraction by writing 7/7 as 1 and 5/7 as 5/7, so the ratio becomes 1:5/7.
This fraction can be rewritten as 7/7:35/7, and since the two fractions have the same denominator, we can say that the ratio is equal to 7:35.
Since there are 192 total employees, and the ratio of men to women is 7:35, we can set up the following proportion:
7/35 = x/192
We can solve this proportion by cross-multiplying:
7/35 × 192 = x
This simplifies to:
x = 54
Therefore, the company hired 54 female employees.
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Hellohello, if you able to help me then please do. (:
Answer:
g=12
Step-by-step explanation:
3 + g = 15
g = 15-3
g = 12
In science class, Beth learned that light travels faster than sound. Her teacher explained that
you can estimate how far away a lightning strike is by counting the number of seconds
between seeing the lightning and hearing thunder. She told Beth that light from a lightning
strike is visible almost instantly, but that thunder from the lightning strike travels 1 mile
every 5 seconds. You can use a function to estimate how far away lightning Is If It takes x
seconds to hear the thunder.
Is the function linear or exponential?
linear
exponential
Which equation represents the function?
g(x) - (-)*
g(x) = x
If the teacher explained that you can estimate how far away a lightning strike is by counting the number of seconds.
The function is linearThe equation that represents the function is g(x) = 1/5x.What is the equation?A linear function is used to calculate how far away lightning is depending on how long it takes to hear thunder.
The function is represented by the equation:
Distance = Time × Speed
Where:
Distance is measured in miles
Speed is measured in miles per second = 1 mile per 5 seconds
Time is measured in seconds as the duration of the thunderclap.
The equation is
Distance = (1/5) x time
Therefore the equation for the function is g(x) = 1/5x.
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2 students want pancakes and 9 students want waffles. What is the ratio of the number of
students who want pancakes to the number of students who want waffles?
Answer:
2:9
Step-by-step explanation:
To create the ratio, put the number of students that want pancakes to the number that wants waffles.
Since 2 want pancakes and 9 want waffles, the ratio will be 2:9
So, the answer is 2:9
Answer:
2:9
Step-by-step explanation:
beacause if every 2 students want pancakes and 9 want waffles
Please help me please
Answer:
(C)(C)(D)(B)(C)(A)Step-by-step explanation:
Hope it helps!!!
Factor this polynomial completely.
x2 - 8x + 16
Answer:
The choose B. (x-4)(x-4)
I hope I helped you^_^
Answer:
B.(x-4)(x-4)
Step-by-step explanation:
x²-8x+16
(x²-4x)(-4x+16)
x(x-4)-4(x-4)
(x-4)(x-4)
The initial value is the —————
in a linear function.
O Slope
O Y
Y-value
OY-intercept
O X-value
a subset of a population used by statisticians to make predictions about a population is called a
A subset of a population used by statisticians to make predictions about a population is called a sample.
a sample is a smaller, representative group selected from the larger population. The sample is used to gather data and make inferences about the entire population. By analyzing the sample, statisticians can make predictions about the characteristics, trends, or behaviors of the population without having to study every individual within it. This method saves time, resources, and effort while still providing accurate results.
A sample is a crucial tool in statistical analysis, allowing statisticians to make informed predictions about a population based on the study of a smaller, representative subset.
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need help urgently!!!
The angles pairs that match each of the stated angle relationship are:
∠2 and ∠11 → alternate interior angles
∠9 and ∠16 → alternate exterior angles
∠1 and ∠10 → No relationship
∠3 and ∠5 → consecutive interior angles
∠7 and ∠15 → corresponding angles
What are Alternate Interior Angles?Alternate Interior angles are angles that are found lying inside different parallel lines that are crossed by a transversal but on alternate sides along the transversal.
What are Alternate Exterior Angles?Alternate exterior angles are similar to alternate interior angles, but are angles that lie outside different parallel lines that are crossed by a transversal but on alternate sides along the transversal.
What are Corresponding Angles?Angles that are referred to as corresponding angles are angles that are at relative corners on different parallel lines that are cut across by a transversal.
The angles named in the image above can be marched as follows:
∠2 and ∠11 → alternate interior angles
∠9 and ∠16 → alternate exterior angles
∠1 and ∠10 → No relationship
∠3 and ∠5 → consecutive interior angles
∠7 and ∠15 → corresponding angles
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A data set that consists of observations on a variable or several variables over time is called a _____ data set.
A data set that consists of observations on a variable or several variables over time is called a time-series data set.
It is used to study the behavior of a variable over time, and it has a natural ordering of observations. It is widely used in econometrics, finance, and other fields that require the analysis of time-dependent data.Time-series data can be either a continuous data set or a ., depending on the frequency of the observations. Continuous data sets have observations at each moment in time, whereas discrete data sets have observations at specific points in time such as daily, weekly, monthly, quarterly, or yearly.
The analysis of time-series data involves several techniques, such as trend analysis, seasonal analysis, and cyclical analysis. These techniques are used to identify patterns and trends in the data. Time-series data is an essential tool in the study of economic, financial, and social phenomena, and it provides valuable information for decision-making
Time-series data sets are a set of data that contains observations of one or more variables over time. Such data sets are crucial in the fields of finance, economics, and various other areas of research that depend on the analysis of time-dependent data.
There are two types of time-series data: continuous and discrete. The former records observations at every moment in time, while the latter has data at specific points in time, such as daily, weekly, or monthly. Trend, seasonal, and cyclical analyses are all examples of methods used to analyze time-series data.
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18. If f(x) = arccos(x^2), then f'(x) =
The derivative of f(x) = arccos(x^2) is: f'(x) = -2x / √(1-x^4)
The derivative of f(x) = arccos(x^2), we'll use the chain rule. The chain rule states that the derivative of a composite function is the derivative of the outer function times the derivative of the inner function. In this case, the outer function is arccos(u) and the inner function is u = x^2.
First, let's find the derivative of the outer function, arccos(u). The derivative of arccos(u) is -1/√(1-u^2). Next, we'll find the derivative of the inner function, x^2. The derivative of x^2 is 2x.
Now we'll apply the chain rule. We have:
f'(x) = (derivative of outer function) * (derivative of inner function)
f'(x) = (-1/√(1-u^2)) * (2x)
Since u = x^2, we'll substitute that back into our equation:
f'(x) = (-1/√(1-x^4)) * (2x)
So, the derivative of f(x) = arccos(x^2) is:
f'(x) = -2x / √(1-x^4)
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Please help if you can :)
Graph the polynomial equation H(x) = 2x^2+9x+10
Part I: Describe the end behaviors of the graph of H(x). Explain.
Part II: What can you say about the shape of the graph? Will there be a maximum or minimum? How do you know?
Part III: Find the x-intercepts. Hint: Use quadratic equation or factor. Show your work.
Part IV: Find the y-intercept.
Part V: Plot the x- and y-intercepts and sketch the end behaviors on the graph.
Answer:
In the pictures linked.
Step-by-step explanation:
The pictures I linked have the answers. Brainly wouldn't let me submit it because I apparently used bad words.
2/5(a+2b)^2 (if a=3 and b=-4)
The answer is 10. Hope this helps.
Multiply the numbers
2/5 •(3-8)^2
Subtract (3-8)
2/5• (-5)^2
A negative base raised to an even power equals a positive
2/5• (5)^2
Reduce the expression with 5.
2•5
10
What is the difference in simplest form?
5 5/6 – 3 1/3 =
Answer:
5/2
Step-by-step explanation:
First convert the fractions to improper fractions:
5 5/6→ 35/6
3 1/3→ 10/3
Then make the two fractions have the same denominatior by multiplying 10/3 by 2:
10/3→ 20/6
Next subtract the two fractions:
35/6 -20/6 = 15/6
Simply
(15/6)/3=5/2
Answer is 5/2
What is the inverse operation of a power or exponent?
Answer:
The inverse of a power function of exponent n is a nth root radical function. For example, the inverse of y = 10x^2 is y = √(x/10) (at least for positive values of x and y).
A bug ran from -47 to -12 in 7 mins. How far did the bug ran. What was its average speed
Answer:
Step-by-step explanation:
The distance that the bug ran is the absolute value of the difference between its initial position and final position:
distance = |-47 - (-12)| = |-47 + 12| = 35
Therefore, the bug ran a distance of 35 units.
To calculate the average speed, we need to divide the distance by the time:
average speed = distance / time = 35 / 7 = 5
The units of average speed are units of distance divided by units of time, so the average speed of the bug is 5 units per minute (unit/min).
Assume the price of snacks is $4, the price of meals is $10, and the consumer has $240 remaining on their meal card. Which consumption bundle will NOT be the consumer's choice given our assumptions about consumers choosing the optimal consumption bundle?
A) 5 Snacks, 20 Meals
B) 30 Snacks, 12 Meals
C) 20 Snacks, 16 Meals
D) None of the bundles will be chosen.
E) There is not enough information to tell
The consumption bundle that will not be the consumer's choice, given the assumptions of choosing the optimal bundle, is option B) 30 snacks and 12 meals. To determine the optimal consumption bundle, we need to consider the consumer's budget constraint and maximize their utility.
Given that the price of snacks is $4 and the price of meals is $10, and the consumer has $240 remaining on their meal card, we can calculate the maximum number of snacks and meals that can be purchased within the budget constraint.
For option A) 5 snacks and 20 meals, the total cost would be $4 × 5 + $10 × 20 = $200. Since the consumer has $240 remaining, this bundle is feasible.
For option B) 30 snacks and 12 meals, the total cost would be $4 × 30 + $10 × 12 = $240. This bundle is on budget constraint, but it may not be the optimal choice since the consumer could potentially consume more meals for the same cost.
For option C) 20 snacks and 16 meals, the total cost would be $4 × 20 + $10 × 16 = $240. This bundle is also on budget constraint.
Since options A, C, and D are all feasible within the budget constraint, the only bundle that will not be the consumer's choice is option B) 30 snacks and 12 meals. The consumer could achieve a higher level of utility by reallocating some snacks to meals while staying within the budget constraint. Therefore, the correct answer is option B.
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if f: x = 7x - 5,determin:
f -1(18)
The function of f⁻¹ is (x + 5)/7 and the value of f⁻¹(18) is 23/7
Function:
Function is defined as the relation between a set of inputs and a set of permissible outputs with the property that each input is related to exactly one output.
Given,
Here we have the function f(x) = 7x - 5
Now, we need to find the f⁻¹(18).
In order to find the value of f⁻¹(18), first we need to find the inverse function,
To find the inverse function, swap x and f(x), and solve the resulting equation for x.
If the initial function is not one-to-one, then there will be more than one inverse.
So, swap the variables: f(x) =7x − 5 becomes x=7f(x) − 5.
Now, solve the equation x =7f(x) −5 for y.
x + 5 = 7 f(x).
f⁻¹(x) = (x + 5) / 7
Now we have to apply the value value of x as 18, then we get,
f⁻¹(18) = (18 +5) /7
f⁻¹(18) = 23/7
Therefore, the value of f⁻¹(18) = 23/7.
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To make 5 blueberry pies, Mindy needs about 2 pounds of blueberries. How many pounds of blueberries does Mindy need to make 20 blueberry pies?
Answer:
8 pounds
Step-by-step explanation:
20/5=4
2*4=8
hope this helps :3
if it did pls mark brainliest
Answer:
Mindy would need 8 pounds of blueberries to make 20 blueberry pies.
Step-by-step explanation:
Since 5 blueberry pies requires 2 pounds, you can multiply both numbers by 4 to get 20 blueberry pies requiring 8 pounds.
what is the slope of (1,-1) (4,8)
Answer:
The slope of the line passing through the points (1, -1) and (4, 8) is 3.
Step-by-step explanation:
The slope of a line passing through two points (x1, y1) and (x2, y2) is given by the following formula:
\(slope = (y2 - y1) / (x2 - x1)\)
Here, the given points are (1, -1) and (4, 8). So,
\(slope = (8 - (-1)) / (4 - 1) = 9 / 3 = 3\)
Therefore, the slope of the line passing through the points (1, -1) and (4, 8) is 3.
Janine is running at 10 kilometers per hour. How long will it take Janine to travel 15 kilometers?
Step-by-step explanation:
janine is running 10 kilometer per 60 minutes
means janine runs 1 km in
=60/10
=6
since,Janine runs 1 km per 6 minutes
how much time does janine takes to run 15 km
=15 ×6
=90
Therefore Janine takes 90 minutes to run 15 km ie1 hour 30 minutes