Answer:
H = 21.5
Step-by-step explanation:
H - 6.5 = 15
Add 6.5 to both sides, -6.5+6.5 = 0 | 15+6.5 = 21.5
When line t is perpendicular to both line l and line m, then lines l and m are _____. 1)parallel
2)perpendicular
3)congruent
4)intersecting
1. parallel
Answer:
Parallel
Step-by-step explanation:
Answer:
1)parallel
Step-by-step explanation:
1)parallel
if I have 3 cookies and i give 4 away how many do i have(:
3 because you shouldn't give away your cookies ◔◡◔.
Answer:
-1 cookie (true answer)
Step-by-step explanation:
I would have 3 cookies still cause I would never give any away.
Have a good day!
helllpppp plzzz??!!!
Answer:
Step-by-step explanation:
tan28=h/150
h=150tan28
h=79.8ft
x/(12+8)=5/8
x/20=5/8
x=100/8
x=12.5
1. (Exercise 2.3 of textbook) (2+2+1=5 pts) Answer each part for the following context-free grammar G.
R→XRX∣S
S→aTb∣bTa
T→XTX∣X∣ε
X→a∣b
a. What are the variables of G ? b. What are the terminals of G ? c. Which is the start variable of G ?
(a) The variables of the given context-free grammar G are R, S, T, and X.(b) The terminals of the grammar G are a and b. (c) The start variable of the grammar G is R.
In a context-free grammar, variables (also known as non-terminals) represent symbols that can be replaced by one or more production rules, while terminals represent symbols that cannot be further expanded or replaced. In this case, the variables R, S, T, and X are non-terminals that can be expanded according to the given production rules, while the terminals a and b are symbols that cannot be further expanded.
The start variable is the initial non-terminal from which the derivation of the language begins. In this grammar, the start variable is R. The language generated by the grammar can be derived by starting with R and applying the production rules to expand the variables until only terminals are left. To summarize, the context-free grammar G has variables R, S, T, and X; terminals a and b; and the start variable is R.
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Mel divided dozens of cookies between 7 classrooms, each
received two dozen. If she had 216 cookies to begin with,
how many dozens did she have left after dividing them up?
Pls help me
Answer:
4 dozen(48)
Step-by-step explanation:
216/dozen(12) =18 dozen(12)
7x2 dozen = 14 dozen
18 dozen - 14 dozen = 4 dozen(48)
Answer:
4
Step-by-step explanation:
Two dozens = 12 × 2 = 24
24 × 7 = 168
216 - 168 = 48
48 ÷ 12 =4
i need to find 2 standard form equations that represent the table.
We can find the two linear equations by using the point-slope form of a line: y - y1 = m(x - x1), where m is the slope and (x1, y1) is a point on the line.
For the first equation:
Using the first point (-2, 8), we have m = (y2 - y1) / (x2 - x1) = (-3 - 8) / (-2 - (-2)) = -11/0, which is undefined. This means the first line is a vertical line.
The equation can then be written as x = -2, since the x-coordinate is constant.
For the second equation:
Using the second point (-1, 4), we have m = (y2 - y1) / (x2 - x1) = (-2 - 4) / (-1 - (-2)) = -2.
The equation can then be written as y - 4 = -2(x + 1), or y = -2x - 2.
Thus, the system of linear equations is:
x = -2
y = -2x - 2
Written in standard form:
x + 0y = -2
-2x + y = -2
ii) What is the base of and exponent of −24 ? Base: Exponent:
The base and exponent of −2^4 are
Base: -2
Exponent: 4
How to determine the base and the exponentFrom the question, we have the following parameters that can be used in our computation:
-2^4
In the expression -2^4, -2 is the base and 4 is the exponent.
The base is the number that is being multiplied by itself and the exponent is the number of times the base is being multiplied by itself.
In this case the base is -2 and the exponent is 4.
So the expression -2^4 means -2 multiplied by itself 4 times.
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I need to know this quick
Answer:
1) 943.895 mm3
2) 144 cm3
Step-by-step explanation:
1)
First we need to find the volume of the rectangular prism:
Volume_1 = 9 * 11 * 6 = 594 mm3
Then, we can find the volume of the half cylinder above the prism:
Volume_2 = 0.5*(pi * (4.5^2) * 11) = 349.895 mm3
So the volume of the figure is the sum of both volumes:
Volume_total = Volume_1 + Volume_2 = 943.895 mm3
2)
The volume of a pyramid is one third of the base area multiplied by the height, so we have:
Volume = (1/3) * 6 * 8 * 9 = 144 cm3
Answer:
1. Volume of the composite figure is 943.89 mm³
2. The volume, of the is 144 cm³
Step-by-step explanation:
1. The composite figure comprises of a cube and a half cylinder;
Volume of a cube = 9 mm × 11 mm × 6 mm = 594 mm³
Volume of the half cylinder = area of base × length = (π·r²)/2 × l
Where:
r = (Diameter of base)/2 = 9/2 = 4.5 mm
l = 11 mm
Therefore, plugging the values, gives;
Volume of the half cylinder = (π × 4.5²)/2 × 11 = 349.89 mm³
Hence, volume of the composite figure = Volume of the cube + Volume of the half cylinder
Volume of the composite figure = 594 mm³ + 349.89 mm³ = 943.89 mm³
2. The volume, V of a pyramid is given by the following relation;
\(V = \frac{l \times w \times h}{3}\)
Where:
l = Length of base = 8 cm
w = Width of the base = 6 cm
h = Height of the pyramid = 9 cm
\(V = \frac{8 \times 6 \times 9}{3} = 144 \ cm^3\)
Here we have that a cube of side x, therefore, the area = x·x, integrating we have;
\(\int\limits^x_0 {x \cdot x} \, dx = \frac{x^3}{3}\)
Where:
Length, height width of the pyramid = x
It can therefore be shown, that for a pyramid of length, l, width, w, and height, h, the volume, \(V = \frac{l \times w \times h}{3}\) .
Suppose you are taking a multiple choice test and you randomly guess in order to answer each question. Each question has four choices. What is the probability of getting the first two questions correct? a. 0.25 b. 0.5625 c. 0.4375 d. 0.0625
The probability of getting the first two questions correct by randomly guessing is option D: 0.0625.
Since each question has four choices and you are randomly guessing, the probability of guessing the correct answer for each question is 1 out of 4, or 1/4 = 0.25.
To find the probability of getting both questions correct, we multiply the probabilities of each event since they are independent. So, the probability of getting the first question correct is 0.25, and the probability of getting the second question correct is also 0.25.
To find the probability of both events occurring, we multiply the individual probabilities:
P(both questions correct) = P(first question correct) * P(second question correct) = 0.25 * 0.25 = 0.0625.
Therefore, the probability of getting the first two questions correct by randomly guessing is 0.0625, which corresponds to option D.
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how long are the sides of a rectangle if its diagonal is 13 inches
Given that the diagonal of a rectangle is 13 inches. We need to find out the length of the sides of the rectangle. Let the length of the rectangle be 'l' and the width be 'w'. We know that in a rectangle, the diagonal is the hypotenuse of the right-angled triangle and can be found using the Pythagoras theorem.
Diagonal of the rectangle, d = 13 inches Length of the rectangle, l = ?Width of the rectangle, w = ?According to Pythagoras theorem,a² + b² = c²Where a and b are the two sides of the right-angled triangle and c is the hypotenuse of the right-angled triangle. Therefore, from the above formula, we getl² + w² = d²l² + w² = 13²l² + w² = 169Now we can solve for l or w by using the values given for the other variable.
Let's solve for l this time. Subtracting w² on both sides, we get:l² = 169 - w²Taking square root on both sides, we get: l = √(169 - w²)Therefore, the length of the rectangle is l = √(169 - w²) inches. It was a definite and specific offer that could be accepted by anyone who met the requirements. It is an example of a unilateral offer since it was an open offer, anyone who agreed to the terms of the contract could have accepted it. Furthermore, it was a clear and unambiguous offer since it did not require any more clarification. Shawna and Beatrice, by virtue of their status as the offerees, had the option of accepting or rejecting the offer. The acceptance must meet the requirements of a valid contract. The acceptance must be communicated clearly and immediately. In addition, the acceptance must conform to the offer's terms. In Hyde v Wrench (1840), the court held that an acceptance must be unconditional and absolute and that if the acceptance is not in line with the terms of the offer, it is a counteroffer that terminates the original offer. Since Shawna and Beatrice had not yet responded to the offer, there was no acceptance of the contract. Therefore, there was no legal agreement between the parties as a contract must have both an offer and an acceptance in order to be considered valid.
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Make x the subject of m = n + X/P
Hello there, and welcome to Brainly!
In this case, x is to be made the subject of the equation, setting x by itself.
Note the equal sign, what you do to one side, you do to the other.
Do the opposite of PEMDAS. PEMDAS is the order of operation, and stands for:
Parenthesis
Exponents (& Roots)
Multiplication
Division
Addition
Subtraction
~
First, subtract n from both sides of the equation:
m (-n) = n (-n) + (x/p)
m - n = x/p
Next, fully isolate the x by multiplying p to all terms on both sides of the equation:
(p) * (m - n) = (x/p) * (p)
p * (m - n) = x
Next, simplify. Distribute p to all terms within the parenthesis:
p(m - n) = x
pm - pn = x
x = pm - pn is your answer.
~
If a matrix is in reduced form, say so. If not, explain why and indicate a row operation that completes the next step of Gauss-Jordan elimination. 0 52 0 1-53 0-4 30 1 Or Select the correct choice below and, if necessary, fill in the answer box to complete your choice. OA. The matrix is in reduced form. SOB. The matrix is not in reduced form. The next step is to add row 1 to row 2. OC. The matrix is not in reduced form. The next step is to interchange row 2 and row 3. OD. The matrix is not in reduced form. The next step is to multiply row 2 by (Type an integer or a fraction.) and add it to row 3. ACCES
The reduced row-echelon form. It appears that the given matrix is not in reduced form and requires additional row operations.
The given matrix is not in reduced form. To bring it into reduced row-echelon form, we can perform the following row operations:
Multiply row 1 by (-53) and add it to row 2: This will eliminate the entry in the second column of the second row.
New row 2: 1 -53 0 -52 0 -4 30 1
Multiply row 1 by (30) and add it to row 3: This will eliminate the entry in the second column of the third row.
New row 3: 0 52 0 1 -53 0 -1489 1
Multiply row 2 by (52/4) and add it to row 3: This will eliminate the entry in the sixth column of the third row.
New row 3: 0 52 0 1 -53 0 -1489 1
The resulting matrix is:
0 52 0 1 -53 0 -4 30 1
0 52 0 1 -53 0 -52 0 0
0 52 0 1 -53 0 -1489 1 0
Now, we can proceed with further row operations to obtain the reduced row-echelon form.
It appears that the given matrix is not in reduced form and requires additional row operations. Therefore, the correct choice is OC. The matrix is not in reduced form. The next step is to interchange row 2 and row 3.
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a blank CD can hold 80 minutes of music you have burned m minutes of music onto the cd which equation models the amount of time that is left on the cd
The equation that models the amount of time that is left on the cd is 80 - m.
What is an equation?An equation is the statement that illustrates that the variables given. In this case, two or more components are taken into consideration to describe the scenario.
It is vital to note that an equation is a mathematical statement which is made up of two expressions that are connected by an equal sign.
In this case, the blank CD can hold 80 minutes of music you have burned m minutes of music onto the cd. The time left will be:
= Total minutes - Time used
= 80 - m
This illustrates the equation.
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I NEEEDDD HELPPP!!! someone please help me outttt
Answer:
45°
Step-by-step explanation:
Segments GJ and HK intersect at F.
That makes angles JFK and GFH vertical angles and congruent.
An arc has the same measure as its central angle.
m<GFH = 45°
m<JFK = m<GFH
m<JFK = 45°
student x pushes a 10-n box with a force of 2 n. at the same time, student y pushes the same box with a force of 6 n, but in the opposite direction. which would most likely occur? (ignore friction.)
3 less than the square root of a number p
Answer:
what's the number? .. . mmxmxmx
1. Differentiate the function f(x) = ln (81 sin^2 (x)) f’(x) 2. Differentiate the function P(t) = in ( √t2 + 9) p' (t) 3. if x2 + y2 + z2 = 9, dx/dt = B, and dy/dt = 4, find dz/dt when (x,y,z) = (2,2,1)
dz/dt =
First you will get 4dz
You are driving a car when a deer suddenly darts across the road in front of you. Your brain registers the emergency and sends a signal to your foot to hit the brake. The car travels a reaction distance D , in feet, during this time, where D is a function of the speed r , in miles per hour, that the car is traveling when you see the deer, given by D(r)=11 r+5/10 . Find the inverse and explain what it represents. Is the inverse a function?
The inverse of the given equation is r = (10D - 5)/11 which represents the reaction speed of the car in terms of the reaction distance.
The car travels a distance of D feet, where D is a function of the speed r miles/hour given by D(r) = (11r + 5)/10
D = (11r + 5)/10
⇒ 10D = 11r +5 (multiply by 10 on both sides)
⇒ 10D - 5 = 11r (subtracting 5 on both sides)
⇒ (10D - 5)/11 = r (dividing by 11 on both sides)
Therefore, the inverse of the given equation is r = (10D - 5)/11.
Inverse represents the speed of the car (miles/hour) in terms of the reaction distance D.
The inverse is also a function, which represents the reaction speed of the car in terms of the reaction distance.
Therefore. the inverse of the given equation is r = (10D - 5)/11 which represents the reaction speed of the car in terms of the reaction distance.
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Julianne is using a biking app that compares his position to a simulated bike or traveling Julianne’s target speed. When Julianne is behind the simulated biker he has a negative position. I took a screenshot of the problem I am having difficulty with.
Given
\(\begin{gathered} Speed=20\frac{km}{h} \\ Time\text{ }taken=15\text{ }minutes \\ Initial\text{ }distance=2\frac{1}{4}km \end{gathered}\)To find:
The average speed of Julian.
Explanation:
It is given that,
\(\begin{gathered} Speed=20\frac{km}{h} \\ Time\text{ }taken=15\text{ }minutes \\ Initial\text{ }distance=2\frac{1}{4}km \end{gathered}\)That implies,
\(\begin{gathered} Distance\text{ }traveled=Speed\times Time \\ =20\frac{km}{h}\times15minutes \\ =20\frac{km}{h}\times15(\frac{1}{60})h \\ =20\frac{km}{h}\times\frac{1}{4}h \\ =5km \end{gathered}\)Therefore,
\(\begin{gathered} Average\text{ }speed=\frac{Final\text{ }distance-Initial\text{ }distance}{Time\text{ }taken} \\ =\frac{(5-2\frac{1}{4})km}{\frac{1}{4}h} \\ =\frac{5-\frac{9}{4}}{\frac{1}{4}}\frac{km}{h} \\ =\frac{\frac{20-9}{4}}{\frac{1}{4}}\frac{km}{h} \\ =11\frac{km}{h} \end{gathered}\)Hence, the average speed of Jean is 11 km/h.
Answer plsssssssss fastttt
One cubic meter represents a cube shape that measures 1 meter in all three dimensions. how long is each side in centimeters?
Each side of cube is 100 cm.
What is a cube?In Maths or in Geometry, a Cube is a solid three-dimensional figure, which has 6 square faces, 8 vertices and 12 edges. It is also said to be a regular hexahedron.
Given that,
Volume of cube = 1 cubic meter
We know that,
1 m = 100 cm
Also volume of cube = \(a^{3}\)
Then,
Volume of cube = 1000000 cm
\(a^{3}\) = \(100^{3}\)
a = 100 cm
Hence, Each side of cube is 100 cm.
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Researchers wanted to analyze daily calcium consumption by children based on the types of meat they eat. The data represent the daily consumption of calcium (in mg) of 8 randomly selected children from each of three groups: those who only eat lean meats, those who eat a mixture of lean and higher fat meats, and those who only eat higher-fat meats. Lean Meats 844 745 773 824 812 759 811 791 Mixed Meats 868 878 919 807 842 916 829 890 Higher-Fat Meats 843 862 791 877 791 847 772 851 At the 0.05 level of significance, test the claim that the mean calcium consumption for all 3 categories is the same.
To test the claim that the mean calcium consumption for all three categories (lean meats, mixed meats, higher-fat meats) is the same, we can conduct a one-way analysis of variance (ANOVA) test.
The null hypothesis, denoted as H0, assumes that the means are equal across the three groups: μ1 = μ2 = μ3. The alternative hypothesis, denoted as Ha, assumes that at least one mean is different.
We calculate the test statistic, F-statistic, using the formula:
F = (SSB / (k - 1)) / (SSE / (n - k))
where SSB is the sum of squares between groups, SSE is the sum of squares within groups, k is the number of groups, and n is the total sample size.
We calculate the sum of squares, degrees of freedom, and mean squares for both between groups and within groups. Then we compare the calculated F-value to the critical value from the F-distribution at a significance level of 0.05, with degrees of freedom (k - 1) and (n - k).
If the calculated F-value is greater than the critical value, we reject the null hypothesis and conclude that there is evidence to support the claim that the mean calcium consumption differs across the three categories. Otherwise, if the calculated F-value is not greater than the critical value, we fail to reject the null hypothesis and conclude that there is not enough evidence to support a difference in means.
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Find the Area of the shaded region of the trapezoid below. (show your work or explain how you got your answer in words) *
Certify Completion Icon Tries remaining: 3 A high school has 52 players on the football team. The summary of the players' weights is given in the box plot. What is the median weight of the players?
Certify Completion Icon Tries remaining: 3 A high school has 52 players on the football team. The summary of the players' weights is given in the box plot. The median weight of the players on the football team is 160 pounds.
The box plot shows that the median weight of the players is the middle value of the distribution. In this case, the median weight is halfway between the 26th and 27th players, which is 160 pounds.
The box plot also shows that the minimum weight of the players is 150 pounds and the maximum weight is 212 pounds. The interquartile range, which is the range of the middle 50% of the data, is 20 pounds.
In conclusion, the median weight of the players on the football team is 160 pounds. This means that half of the players on the team weigh more than 160 pounds and half of the players weigh less than 160 pounds.
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(PLEASE HELP! WILL GIVE BRAINLIEST)
The length of each of the two congruent sides of an isosceles triangle is 2x + 3. The length of the third side is 2x. Its perimeter is 36 centimeters. Choose an equation that could be used to find the value of x. Choose the correct answer for x and choose the correct length of all three sides. Choose 3 answers.
Answer:
Im sorry, but I dont know all of the answers. try a and c.
Step-by-step explanation:
well, I did this question before, but unfortunately got it wrong because I incorrectly guessed the last one.
What is the product or quotient of 45.3 x 10 to the 3rd
Answer:
45300
Step-by-step explanation:
Answer:
4.53 * 10 ^ 4 = 45300
Step-by-step explanation:
10^3 is 1000.
45.3 *1000 is 4.53 * 1000 *10 is 4.53 *10000 is 4.53 * 10 ^ 4 (4 zeros)
Find the slope of the line that passes through (4.4) and (5,3)
Answer:
- 1
Step-by-step explanation:
Slope of the line
\( = \frac{3 - 4}{5 - 4} \\ \\ = \frac{ - 1}{1} \\ \\ = - 1\)
3x-4y=8 solve for x only
solve it step by step accurate answer pls
#Algebra 2
Answer:
3/4x-2
Step-by-step explanation:
3−4=8
∴3=4+8
∴4=3−8
∴=14(3−8)=34−2
Answer + Step By Step:
pls help me quick erg
The distance Chyna ran is 7 1 / 2 kilometres.
How to find the distance Chyna ran?Ronaldo ran 9 / 10 fewer kilometres than Chyna ran. Ronaldo ran 6 3 / 5
kilometres
Therefore, the distance Chyna ran in kilometres can be calculated as follows:
Therefore,
Distance Ronaldo ran = 6 3 / 5 = 33 / 5 kilometres
Hence,
Distance Chyna ran = 33 / 5 + 9 / 10
Distance Chyna ran = 66 + 9 / 10
Distance Chyna ran = 75 / 10
Therefore,
Distance Chyna ran = 7 5 / 10
Distance Chyna ran = 7 1 / 2 kilometres
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The information used in the DSS can be obtained from various sources. Discuss. (12)
Decision Support Systems (DSS) draw information from a variety of sources, including internal data generated within the organization and external data obtained from outside sources. Internal data encompasses data such as sales figures, financial statements, and customer records, providing an organization-specific view. External data includes market research reports, industry benchmarks, and government data, offering a broader context and insights into market trends and customer preferences. DSS can also utilize external databases and sources, such as data aggregators and public repositories, to access specialized data sets. By combining internal and external data sources, DSS can provide comprehensive decision support, enabling organizations to make informed choices based on a wide range of information.
Decision Support Systems (DSS) rely on a wide range of data sources to provide valuable information for decision-making processes. These sources can be categorized into internal and external data, each offering unique perspectives and insights.
Internal data refers to information generated and stored within an organization. This data can include sales figures, financial statements, customer records, inventory levels, and employee performance data. Internal data provides an organization-specific view and can be readily accessible for analysis within the DSS.
External data, on the other hand, encompasses information obtained from sources outside the organization. It can include market research reports, industry benchmarks, economic indicators, government data, social media feeds, and customer feedback. External data offers a broader context and helps organizations gain insights into market trends, competitor analysis, customer preferences, and regulatory changes.
Furthermore, DSS can also tap into various external databases, such as data aggregators, research institutions, and public repositories. These sources provide specialized data sets related to specific industries, demographics, geographies, or subjects of interest. By integrating these external sources, DSS can enhance its analytical capabilities and provide comprehensive decision support.
In conclusion, the information used in a Decision Support System can be obtained from both internal and external sources. By leveraging internal data and tapping into external databases and sources, DSS can provide a holistic and informed perspective for decision-making processes.
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