Answers
\(\begin{array}{ccll} \stackrel{jam}{liters}&days\\ \cline{1-2} 32 & 8\\ 36& x \end{array} \implies \cfrac{32}{36}~~=~~\cfrac{8}{x} \implies \cfrac{8}{9} ~~=~~ \cfrac{8}{x}\implies 9=x\)
Related Questions
Unknown angle problems (with algebra)
Answers
Answer:
x = 20
Step-by-step explanation:
100 + 3x + x = 180
100 + 4x = 180
- 100 -100
4x = 80
÷4 ÷4
x = 20
360° is a full circle, and since this is half you set the numbers equal to 180°
I hope this helps!
I need your help guys !!!!!
Answers
Refer the above attachment
What are the intercepts of the graphed function?
x-intercept = (0, –1) y-intercept = (0, –3)
x-intercept = (0, –1) y-intercept = (–3, 0)
x-intercept = (–1, 0) y-intercept = (0, –3)
x-intercept = (–1, 0) y-intercept = (–3, 0) Oops! The y-intercept was incorrect!
Answers
Answer:
The first option.
Step-by-step explanation:
cara computes the mean and variance for the set 87, 46, 90, 78, and 89. she finds the mean to be 78. her steps for finding the variance are shown below. what is the first error cara made in computing the variance?
Answers
If Cara's calculation of the sum of the squared differences i.e. 1370 from the mean is incorrect, that would be the first error she made in computing the variance.
As the steps for finding the variance are not provided, it is difficult to determine the first error Cara made.
However, the formula for calculating the variance is:
Variance = (sum of the squared differences from the mean) / (number of observations)
The first error Cara may have made is in calculating the sum of the squared differences from the mean.
The correct steps to find the variance are:
Find the mean:
Mean = (87 + 46 + 90 + 78 + 89) / 5 = 78
Calculate the differences from the mean for each observation:
87 - 78 = 9
46 - 78 = -32
90 - 78 = 12
78 - 78 = 0
89 - 78 = 11
Square each difference:
\(9^2 = 81\)
\((-32)^2 = 1024\)
\(12^2 = 144\)
\(0^2 = 0\)
\(11^2 = 121\)
Find the sum of the squared differences:
81 + 1024 + 144 + 0 + 121 = 1370
Divide the sum of squared differences by the number of observations:
Variance = 1370 / 5 = 274.
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• What is the smallest distance, in meters, needed for an airplane touching the runway with a velocity of 360 km/h and an acceleration of -10 m/s2 to come to rest? HELP
Answers
Answer:
i think ..................
Step-by-step explanation:
society idsbwj ja
Select all of the expressions that have a positive value
based on the positions of a and b.
(Select all that apply.)
X
-b
a+b
a-b
a b
-
b
a
Answers
To determine which expressions have a positive value based on the positions of a and b, we need to consider the signs of a and b and then evaluate each expression:
(-b) is positive if b is negative
(a+b) is positive if both a and b are positive or if a is negative and b is greater than the absolute value of a
(a-b) is positive if a is greater than b
(ab) is positive if both a and b have the same sign (either both positive or both negative)
(-b) is negative if b is positive
(a) is positive if a is positive
So, based on the positions of a and b, the expressions that have a positive value are:
(a+b), if both a and b are positive or if a is negative and b is greater than the absolute value of a
(a), if a is positive
Therefore, the correct answers are:
a+b
a
Use the geometric definition of the cross product and the properties of the cross product to make the following calculations.
a. ((j + k) x j) x k = ____
b. (I + j) x (I x j) = ____
c. 4k x (k + j) = ____
d. (i + j) x (I – j) = ____
Answers
Using the geometric definition we get a. ((j + k) x j) x k = -j b. (I + j) x (I x j) = 0 c. 4k x (k + j) = -4i + 4j d. (i + j) x (I – j) = -2k
a. Using the cross product definition, we have (j + k) x j = (0i + 1j + 1k) x 0i + 1j + 0k = 1(j x j) + 1(k x j) = 0k + (-1)i = -i. Then, (-i) x k = -j.
b. By the properties of the cross product, the cross product of two parallel vectors is zero. Here, I and j are parallel vectors, so I x j = 0. Therefore, (I + j) x (I x j) = (I + j) x 0 = 0.
c. Applying the cross product definition, 4k x (k + j) = 4(0i + 0j + 1k) x (0i + 1j + 1k) = 4(k x j) = 4(-1)i + 4(0j) + 4(0k) = -4i + 4j.
d. Using the cross product properties, (i + j) x (I – j) = i x I + i x (-j) + j x I + j x (-j) = 0k + (-1)i + (-1)k + 0k = -2k.
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A quadratic function f(x) is hidden from view. You must find all
intervals where f(x) is negative. Choose the form of the quadratic
function f(x) that you would like to see in order to answer the
question most efficiently.
Form: Standard Form
f(x)=2x²-16x - 30
Answers
Step-by-step explanation:
f'(x)=-4x-16
f'(x)=0 <=> x=-4
evaluating the derivative of fx on the numberline we get the negative interval is (-4;+infinity)
The function f(x) = 2x² - 16x - 30 is negative between the roots x = -3 and x = 5. This is found using the quadratic formula to identify the roots and observing that the function dips below the x-axis between these two points.
Explanation:To find the intervals where f(x) is negative, you would want to determine where the quadratic function is below the x-axis, which means finding the roots of the function first.
Given the quadratic function in standard form as: f(x) = 2x² - 16x - 30
To find the roots, you can use the quadratic formula: x = [-b ± sqrt(b² - 4ac)] / 2a
When you substitute a = 2, b = -16, and c = -30 into the formula, you get x = 5 and x = -3.
Therefore, the function f(x) is negative between these two roots (that is, -3 < x < 5).
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Use x for number of
meters and y for number of kilometers.
meters
1,000
3,500
500
75
1
kilometers
1
Answers
The number of kilometers are 1,3.5,0.5,0.075,0.001.
Meters are 1000,3500,500,75,1.
The number of meters is x.
The number of kilometers is y.
kilometer = 1/1000×meter
y = 1/1000×x
The units of length and distance are meters and kilometers, respectively. The kilometer, or 1,000 meters, serves as the unit of distance measurement in the metric system. Therefore, one meter is equivalent to a thousandth of a kilometer.
A meter is denoted by the letter m, whereas a kilometer is denoted by the letter km. The default unit of length measurement in the metric system. Between the length of a ruler and the spacing between objects in a room, meters are used to measure everything.
Therefore the number of kilometers are 1,3.5,0.5,0.075,0.001.
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Kendall ate g out of 11 gumdrops. Write an expression that shows how many gumdrops Kendall has left.
Answers
Answer:
11-g
Step-by-step explanation:
You would have to subtract the number of gumdrops Kendall ate (g) from the number of gumdrops they had in the beginning (11). So the expression would be 11-g
this is linear algebraIf A is an n X n diagonalizable matrix, then each vector in Rn can be written as a linear combination of eigenvectors of A.true or false
Answers
This is linear algebra If A is an n X n diagonalizable matrix, then each vector in Rn can be written as a linear combination of eigenvectors.
It is the TRUE statement.
If A is diagonalizable, then A has n linearly independent eigenvectors in \(R^n\) By the Basis Theorem, the set of these eigenvectors spans \(R^n\).
We have to check the given statement is true or false.
Now, According to the question:
It is True statement. If A is diagonalizable, then A has n linearly independent eigenvectors in \(R^n\). By the Basis Theorem, the set of these eigenvectors spans \(R^n\). This means that each vector in \(R^n\) can be written as a linear combination of the eigenvectors of A.
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Write an expression for the function g(t) whose graph is the graph of -100(1.05) shifted to the right 5, and up 50 units. Pick a number below.
1. 0-100(1.05+5)' + 50
2. 0-100(1.05) +50
3. 0-100(1.05)
4. -100(105) + 50
Answers
The correct expression is option 1: 0-100(1.05+5)' + 50.
What is expression?Expression in math is a combination of numbers, symbols and operations used to represent a value or a mathematical relationship. Examples of expressions include algebraic expressions, polynomials, matrices, and trigonometric functions. They are often used to solve equations or solve for a certain value. Expressions are used to express relationships between variables, and can be used to describe real-world problems or situations.
This expression translates to the following: take the result of -100 multiplied by 1.05, then add 5 to it, then take the result and multiply it again by -100. Finally, add 50 to the result.
This expression is used to describe the graph of -100(1.05) shifted to the right 5, and up 50 units. This is because when the graph is shifted to the right 5, it is essentially adding 5 to the result of -100 multiplied by 1.05. When the graph is shifted up 50 units, it is adding 50 to the result. Therefore, the expression 0-100(1.05+5)' + 50 accurately expresses the function g(t) whose graph is the graph of -100(1.05) shifted to the right 5, and up 50 units.
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How many F ratios (i.e. F statistic values) are figured in a two-way analysis of variance known as a 2x2 Factorial Design?
a) as many as there are cells in the design
b) 2
c) 3
d) 1
Answers
Therefore, the correct answer is c) 3, as there are three F ratios calculated in a 2x2 factorial design.
How many F ratios in a 2x2 Factorial Design?In a two-way analysis of variance (ANOVA) known as a 2x2
factorial design, there are three F ratios or F statistic values calculated. This design involves two independent variables, each with two levels or categories.
The three F ratios represent the main effects of each independent variable and the interaction between the two variables.The main effects F ratios determine whether there are significant differences between the levels of each independent variable individually, ignoring the other independent variable.
There will be two main effects F ratios, one for each independent variable.The interaction F ratio examines whether there is a significant interaction between the two independent variables. It determines whether the effect of one independent variable differs across the levels of the other independent variable.
This F ratio assesses the joint influence of both independent variables.
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Use the drawing tool(s) to form the correct answer on the provided grid.
Lisa and Penny are guests at a beachside hotel. Lisa is laying on a towel at the beach which is 50 feet from the base of the hotel. When she looks up at an angle of 54.5 degrees, she can see her sister Penny waving to her from the hotel window.
Draw a scale representation of the triangle that models the situation and can be solved to find the straight-line distance between Penny and Lisa. Round calculations to the nearest foot. Each unit on the grid represents five feet.
Answers
Answer:
86 ft
Step-by-step explanation:
You want the straight line distance from a location 50 ft from a hotel to a window that has an angle of elevation of 54.5°.
CosineThe cosine relation between sides and angles in a right triangle is ...
Cos = Adjacent/Hypotenuse
The 50 ft distance is adjacent to the angle, and we want to find the hypotenuse. Using this equation, we can solve for the length we want:
Hypotenuse = Adjacent/Cos
ApplicationUsing the numbers in the problem statement, we find the straight-line distance to be ...
LW = LH/cos(54.5°) = (50 ft)/0.580703 ≈ 86 ft
The distance between Penny and Lisa is about 86 feet.
__
Additional comment
We don't know what drawing tools you have available. The attached diagram was drawn by locating the window at 50tan(54.5°) up from the base of the hotel. The tool provided the length of LW as 86.1.
We could have use a rotation tool to create the angle of 54.5°, or a line graphing tool to draw the line through (50, 0) with slope tan(-54.5°). Then an intersection tool could have located the window at the point of intersection of that line and the y-axis.
The calculation we did above is about the easiest for determining the distance mathematically (not having the tool measure it).
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Ray bd bisects angle abc. To prove angle abd and angle cbd are congruent using a proof by contradiction, what is the assumption statement that starts the proof? angle abd and angle cbd are adjacent angles. Angle abd and angle cbd are supplementary angles. Angle abd and angle cbd are not complementary. Angle abd and angle cbd are not congruent.
Answers
To prove angle abd and angle cbd are congruent using a proof by contradiction, the assumption statement that starts the proof is Angle abd and angle cbd are not congruent.
What is proof by contradiction?Proof by contradiction is a technique used in logic and mathematics to verify the truth or validity of a claim by demonstrating how presuming the proposition to be incorrect results in a contradiction.
A proof by contradiction first starts with the negation, or opposite of the hypothesis.
In context of the problem, the proof by contradiction will start by the opposite . Since we are to prove that angle abd and angle cbd are congruent, the opposite is Angle abd and angle cbd are not congruent.
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18 An artist makes $1,000 in profit after
renting a booth and selling 50 prints.
Another artist makes $550 after renting
a booth and selling 32 prints. Which
equation describes the relationship
between the number of prints sold, x, and
the profit, y?
F. y = -25x
- 250
G. y = 25x + 250
H. y = 25x – 250
J. y = -25x - 250
Answers
Answer:
y = 25x - 250
The inverse, f'(x), of f(x) =
X + 5
Х
can be written as
5
x-1
a) Find f(2)
b) Find f'(2)
Answers
Step-by-step explanation:
Given
\(f(x) = \frac{x + 5}{x} \)
So
\(f(2) = \frac{2 + 5}{2} \\ = \frac{7}{2} \)
Now
\( {f}^{ - 1} (x) = \frac{5}{x - 1} \)
So
\( {f}^{ - 1} (2) = \frac{5}{2 - 1} \\ = \frac{5}{ 1} \\ = 5\)
Hope it will help :)❤
The sum of three numbers is 107 . The first number is 8 less than the third . The second number is 3 times the third . What are the numbers ?
Answers
Third number = x - 7
Second number = 2(x - 7)
x + 2(x - 7) + x - 7 = 107
x + 2x - 14 + x - 7 = 107
Collect like terms.
4x - 21 = 107
4x = 128
x = 32
First number = 32
Second number = 50
Third number = 25
Total = 107.
Answer:
(x - 8) + 3x + x = 107
x - 8 + 3x + x = 107
5x - 8 = 107
5x = 115
x = 23, SO...
The first number is 23-8, which is 15
The second number is 3 x 23, which is 69
The third number is 23
15 + 69 + 23 = 107 CHECK!
Step-by-step explanation:
Can someone please help me?
Answers
Step-by-step explanation:
Creating triangles with angles require all angles to add up to 180. The first two choices are angles. Adding those up
\(100 + 70 + 10 = 180\)
\(63 + 47 + 70 = 18 0| \)
The first two choices we can cross out because those indeed can create a triangle.
The last two give you side measurements instead.
For these, you add up the two smallest sides and hope they end up be larger than the biggest side.
\(88 + 72 = 160\)
\(17 + 9 = 26\)
As you can see for the last one, 26 is bigger than 23.
But for C, it looks like 160 is NOT greater than 198, making C the answer
The t-test for dependent means is used in order to determine whether there is a significant difference in the scores of a group of respondents who are tested at two points in time. True or False?
Answers
The given statement based on t-test for dependent means representing
significant difference in the scores of a group is true.
The t-test for dependent means, also known as the paired t-test.
It is used to determine whether there is a significant difference between two sets of scores that are related in some way.
When the same group of respondents is tested at two different points in time.
It is a common statistical test used to analyze pre-test/post-test data, or data from within-subjects designs.
The test assumes that the differences between the two sets of scores are normally distributed.
Compares the mean difference between the two sets of scores to the standard error of the difference.
If the mean difference is significantly different from zero.
Then it can be concluded that there is a significant difference between the two sets of scores.
Therefore, the above statement of t-test to determine the significant difference in the score is true.
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6th ans pls anyone?
Answers
Answer:
Hi there your answer will be
Zero since when you are dividing with zero your answer will always be zero
NO MATTER WHAT IS YOUR VARIABLE
Step-by-step explanation:
EXAMPLE IF I DID A/B DIVIDE BY 0 MY ANSWER WILL ALWAYS BE ZERO
SO YOUR ANSWER TO NUMBER 6 IS ZERO/ UNDEFINED DEPENDS ON WHAT YOUR TEACHER WANTS.
What is the value of each missing angle (x)?
100
х
Х
100
Answers
Answer:
it is 80° if the sum of angels X & angel 100° is 180°
Develop the B&B tree for each of the following problems. For convenience, always select x₁ as the branching variable at node 0. Maximize z = 3x₁ + 2.8% subject to 2x + 5.x₂ = 18 4.x₁ + 2x₂ = 18 X₁, X₂0 and integer
Answers
To develop the Branch and Bound (B&B) tree for the given problem, follow these steps:
1. Start with the initial B&B tree, where the root node represents the original problem.
2. Choose \($x_1$\) as the branching variable at node 0. Add two child nodes: one for
\($x_1 \leq \lfloor x_1 \rfloor$ \\(floor of $x_1$) and one for $x_1 \geq \lceil x_1 \rceil$ (ceiling of $x_1$).\)
3. At each node, perform the following steps:
- Solve the relaxed linear programming (LP) problem for the node, ignoring the integer constraints.
- If the LP solution is infeasible or the objective value is lower than the current best solution, prune the node and its subtree.
- If the LP solution is integer, update the current best solution if the objective value is higher.
- If the LP solution is non-integer, choose the fractional variable with the largest absolute difference from its rounded value as the branching variable.
4. Repeat steps 2 and 3 for each unpruned node until all nodes have been processed.
5. The node with the highest objective value among the integer feasible solutions is the optimal solution.
6. Optionally, backtrace through the tree to retrieve the optimal solution variables.
Note: The specific LP problem and its constraints are missing from the given question, so adapt the steps accordingly.
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help please
A crafts worker is knitting a circular rug that has a diameter of 88 inches. He would like to put trim around the outer edge of the rug. If 1 inch = 2.54 centimeters, how many centimeters of trim would he need? Use π = 3.14 and round to the nearest centimeter.
208 centimeters
257 centimeters
276 centimeters
702 centimeters
Answers
Answer:
88×2.54 = 223.52cm ×3.14 =701.8528 =702cm
Answer:
The crafts worker would need 702 cm of trim.
Hope this helps!
Step-by-step explanation:
The trim is the circumference of the circle.
Circumference is 2πr.
The radius of the circle is 44 inches.
2 × π × 44 = 276.46 inches
276.56 inches × 2.54 = 702.4624 cm
How do you find the center and scale factor of a dilation?
Answers
Center point of dilation is a fixed point in a plane about which all the points of the figure expanded or contract. And scale factor of a dilation is the ratio of new formed image to the old given image.
Explanation:
Center of a dilation is considered as a fixed point in the given plane.Around the center point of dilation all the points of the given and new figure expanded or contracts.Translate the center of dilation and the given figure , now origin becomes the center and translate back to get the center of dilation.Scale factor can be calculated as the ratio of the dimension of the new image formed to the dimensions of the old given image.If new or old images not defined then ratio of larger to the smaller image gives the scale factor.Therefore, the center of the dilation can be find using the translation and scale factor can be calculated using the ratio of the new to the old images.
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Identify which of the following measurements could be accurate for the given scenarios if the given lengths create right triangles. Select the two scenarios that apply. PLEASE HURRY:(
1. A 17-foot ladder is leaning against a building so that the top of the ladder is 15 feet up the side of the building. The distance from the base of the building to the bottom of the ladder is 7 feet.
2. A small bicycle ramp is 17.9 inches long. The ramp is 7.5 inches off the ground, and the distance along the ground is 17.7 inches.
3. Tom is looking out the window from a height of 124.8 feet and sees his friend William on the ground. The straight-line distance from Tom to William is 130 feet, and the distance from William to the base of the building is 36.4 feet.
4. An airplane is in the air 30,000 feet directly above you. You are 40,000 feet from where the plane took off, and the plane has traveled 50,000 feet along a straight-line path from the takeoff point.
5. A tree that is 20 feet tall casts a 17-foot-long shadow along the ground. The straight-line distance from the top of the tree to the tip of the shadow is 26 feet.
6. A lighthouse is 65 feet tall and casts a beam of light that measures 100 feet from the top of the lighthouse to the point where it hits the ground. The distance from where the light hits the ground to the bottom of the lighthouse is 75 feet.
Answers
Two scenarios that create right angle are 3 and 4.
In both the situations, Pythagoras theorem get satisfy with the sides which theorem is only applicable when there is right angle in the triangle.
Here's the explanation using 3 as an example :
From the statement we can assume that height of the window as the perpendicular(P) and distance from base(B) of the building to William as base of the triangle and line distance from Tom to William as hypotenuse(H) of the triangle.
Therefore, H = 130, B= 36.4 and P = 124.8
By Pythagoras theorem,
H² = P² + B²;
130² = 124.8² + 36.4²,
16900 = 15575.04 + 1324.96,
16900 = 16900
Hence satisfy the Pythagoras theorem, therefore triangle is right angle.
Similarly for the 4 statement.
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The graph below shows a company's profit f(x), in dollars, depending on the price of goods x, in dollars, being sold by the company:
f(x)
150
120
Part A: What do the x-intercepts and maximum value of the graph represent in context of the described situation?
Part B: What are the intervals where the function is increasing and decreasing, and what do they represent about the sale and profit for the company in the situation
described?
Part C: What is an approximate average rate of change of the graph from x= 1 to x= 3, and what does this rate represent in context of the described situation?
Answers
The vertical axis of the graph represents profit, so the x-intercepts represent prices in the produce 0 profit. The maximum value of the graph is the maximum profit that can be obtained for anyprice
How to explain the graphThe higher or largest number of the chart is the maximum reach
B) We read the value of f(1) from the graph to be about 120, so the average rate of change is about:
(f(4) -f(1))/(4 -1) = (270 -120)/(3) = 50
The average rate of the change from x = 1 to x = 4 is about 50.* This means profit will increase on average $50 for each $1 increase in price in what interval.
If we take the peak profit to be $270 we can write f(x) as:
f(x) 16.875x(x-8)
Then f(1) = 118.15 and average rate of change is 50.625.
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HOW MANY TEASPOONS ARE IN 15 MILLIMETERS?
1 TSP = 5ML
15ML = ?? TSP
Answers
Answer:
In cubic millimeter 15 in us teaspoon 0.00304326
Step-by-step explanation:
Hope I helped?
Find the slope of the line that passes through (4, 6) and (1, 10).
Answers
Answer:
given us,
(x1y1) = (4,6)
(x2y2)= (1,10)
here
slope= (y2-y1)/ (x2-x1)
= (10-6)/ (1-4)
= 4/ (-3)
Step-by-step explanation:
4/ (-3)
a researcher wishes to survey student opinions on a proposed increase in fees at her university. she decides to select a sample for telephone interviewing by selecting every 20th name in the student directory. what is this type of sampling called?
Answers
The type of sampling described in the scenario is known as systematic sampling.
Systematic sampling involves selecting elements from a population in a systematic and predetermined manner. In this case, the researcher is selecting every 20th name from the student directory to form her sample. This method of sampling is relatively simple to execute and can be less time-consuming compared to other methods such as random sampling. However, it is important to ensure that the selected interval does not coincide with any underlying patterns in the population that may bias the results.
Overall, systematic sampling can be a useful method for obtaining a representative sample from a large population, but it is important to consider the potential limitations and biases associated with this approach.
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