Answer:
x = 7
y = -3
Step-by-step explanation:
the first equation is already solved for 'y' so we can substitute '-2x+11' for 'y' in second equation
3x + (-2x + 11) = 18
x + 11 = 18
x = 7
solve for 'y'
y = -2(7) + 11
y = -14 + 11
y = -3
Given right triangle ABC with altitude BD drawn to hypotenuse AC. If AD = 4
and BD = 6, what is the length of DC? (Note: the figure is not drawn to scale.)
A
4
D
-
Answer:
Submit Answer
Answer:9
Step-by-step explanation:
6/4 = x/6
4x=36
4x/4 36/4
x=9
The length of the segment DC will be 9 units.
What is triangle?A two dimensional shape made up of the three sides and making an angle of 180 degrees is called as triangle.
Given that:-
Right triangle ABC with altitude BD drawn to hypotenuse AC. If AD = 4 and BD = 6, what is the length of DC?The length of DC will be calculated by using the ratios:-
6/4 = x/6
4x=36
4x/4 36/4
x=9
Therefore the length of the segment DC will be 9 units.
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Nemo wrote two correct variable expressions to represent the phrase "the product
of a number and 7." Which variable expressions could Nemo have written?
The variable expression Nemo could have written either "7x" or "x * 7" to represent "the product of a number and 7."
We have,
Nemo could have written the following two correct variable expressions to represent the phrase "the product of a number and 7":
= 7x
In both expressions, "x" represents the unknown number, and the product of "x" and 7 is obtained by either multiplying "x" by 7 (7x) or by multiplying 7 by "x" (x * 7).
Both expressions are equivalent and correctly represent "the product of a number and 7."
Thus,
The variable expression Nemo could have written either "7x" or "x * 7" to represent "the product of a number and 7."
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What is the distance between points (6, 2) and (4, 1) to the nearest tenth
Answer:
Distance is 2.2.
Step-by-step explanation:
Use the Pythagorean theorem.
\(Distance=\sqrt{(6-4)^{2} +(2-1)^{2} } =\sqrt{4+1} =\sqrt{5}=2.23\)
A project under consideration has a 10-year projected life. The initial investment for the project is estimated to have a mean of $10,000 and a standard deviation of $1,000. The annual receipts are independent, with each year’s expected return having a mean of $1,800 and a standard deviation of $200. MARR is 12 percent. Assuming that initial investment and annual receipts are independent and normally distributed, estimate the probability that the present worth is negative using NORM.INV function in excel.
This value represents the present worth below which the probability is 0.5, indicating a negative present worth.
To estimate the probability that the present worth is negative using the NORM.INV function in Excel,
we need to calculate the present worth of the project and then determine the corresponding probability using the normal distribution.
The present worth of the project can be calculated by finding the sum of the present values of the annual receipts over the 10-year period, minus the initial investment. The present value of each annual receipt can be calculated by discounting it back to the present using the minimum attractive rate of return (MARR).
Using the given information, the present value of the initial investment is $10,000. The present value of each annual receipt is calculated by dividing the expected return of $1,800 by \((1+MARR)^t\),
where t is the year. We then sum up these present values for each year.
We can use the NORM.INV function in Excel to estimate the probability of a negative present worth. The function requires the probability value, mean, and standard deviation as inputs.
Since we have a mean and standard deviation for the present worth,
we can calculate the corresponding probability of a negative present worth using NORM.INV.
This value represents the present worth below which the probability is 0.5. By using the NORM.INV function,
we can estimate the probability that the present worth is negative based on the given data and assumptions.
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The surface area of a cube is 6(a/4)2 , where a is a positive constant. Which of the following gives the perimeter of one face of the cube?
A) a/4
B) a
C) 4a
D) 6a
The perimeter of one face of the cube is given by the option (A) a/4.
The surface area of a cube is given by the formula 6a^2, where a is the length of one side of the cube. In the given expression 6(a/4)^2, we can simplify it as follows:
6(a/4)^2 = 6(a^2/16) = (6/16) * a^2 = 3/8 * a^2
We know that the perimeter of a square is equal to 4 times the length of one side. In this case, we have a cube, and each face of the cube is a square. Therefore, the perimeter of one face of the cube is 4 times the length of one side.
Hence, the correct option is (A) a/4, as it represents the perimeter of one face of the cube.
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What is the slope-intercept equation
for the following line?
Answer: y = -1/2x + 1
question jordan wondered if the bean burritos at restaurant a tend to be heavier than bean burritos at restaurant b. to investigate, she visited each restaurant at 10 randomly selected times, ordered a bean burrito, and weighed the burrito. the 95% confidence interval for the difference (a - b) in the mean weight of the burrito is 0.06 ounce 0.20 ounce. based on the confidence interval, which conclusion is most appropriate?
The conclusion of question as discuss below.
Define the term mean?The mean is a measure of central tendency that represents the average value of a set of numbers. It is calculated by adding up all the values in the set and then dividing by the total number of values.
Based on the given information, we can say that there is a 95% chance that the true difference (a - b) in the mean weight of the bean burritos between Restaurant A and Restaurant B falls within the interval 0.06 ounce to 0.20 ounce.
Since the confidence interval does not include zero, we can conclude that there is a statistically significant difference between the mean weights of the bean burritos at the two restaurants. Specifically, we can say that the mean weight of the bean burritos at Restaurant A is likely to be heavier than the mean weight of the bean burritos at Restaurant B.
However, it's important to note that we cannot determine the magnitude of the difference or the direction of causation (i.e., whether Restaurant A intentionally makes their burritos heavier or whether they use different ingredients that naturally result in heavier burritos).
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We can infer that there is a statistically significant difference among the mean weights of the bean burritos at the two eateries because the confidence interval does not include zero.
Define the term mean?The mean, which reflects the average value of a group of numbers, is a metric of central tendency. It can be calculated by adding up all of the values in the collection, dividing by the total number of values, and then taking the remainder away.
Based on the information provided, we can state that there is a 95% chance that the actual difference (a - b) between Restaurant A and
Restaurant B's mean weight of the bean burritos will lie between 0.06 ounce and 0.20 ounce.
We can infer that there is a statistically significant variance among the mean weights of the bean burritos at the two eateries because the confidence interval does not include zero. We can specifically state that the bean burritos' average weight at Restaurant A is probably heavier than the average bean burrito's weight at Restaurant B.
It's crucial to remember that we cannot establish the size of the difference or the causal relationship. (i.e., whether Restaurant A intentionally makes their burritos heavier or whether they use different ingredients that naturally result in heavier burritos).
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corey walked three blocks east and then six blocks north. all the blocks were the same length what is the value of the slope of the line from where corey began walking to where he finished
Answer:
the answer is 2
Step-by-step explanation:
Answer:
I got 2 aswell
Step-by-step explanation:
got it right on edge 2020
PLEASE PLEASE I NEED HELP
Answer:
1. 20
2. 34
Step-by-step explanation:
A group of friends were working on a student film. They spent $481 on costumes, which was 37% of their total budget. What was the total budget for their student film?
The total budget for the student film was $1300 and $481 was spent on costumes
What is an equation?An equation is an expression that shows the relationship between two or more variables and numbers.
Let x represent the total budget for the student film.
The student spent $481 on costumes, which was 37% of their total budget, hence:
37% of x = 481
0.37x = 481
x = $1300
The total budget for the student film was $1300 and $481 was spent on costumes
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Please help!!!!
Identify the polynomial
1-3
Answer:
Step-by-step explanation:
2 hundredths + 6 hundredths = ________ hundredths?
Answer:
8 hundredths
Step-by-step explanation:
2 + 6 = 8
Which fraction and decimal forms match the long division problem?
Answer: C
Step-by-step explanation: C
2 divided into 9 parts is 2/9.
Let's' explain this visually
Take this pizza, (image below)
Let's say we have two pizzas for 8 friends (including ourselves), so naturally, we'll cut the pizza's each into 9 slices, 1 for each, now everyone gets 1/9 of a pizza, but there are two pizzas, so if we add 1/9+1/9, we'll get two ninths.
Now 2/9=0.2 repeating!
This is how I got my answer sorry for the vague explanation
a good hypothesis should be: (select all that are correct, 3 correct) a. testable b. falsifiable c. negative d. positive
4)
2.5cm
1.2m
2.5cm
1.5cm
1cm
2cm
5cm
Perimeter =
cm
Answer:
Perimeter = 15.5 cm
Step-by-step explanation:
Perimeter = sum of all sides
Perimeter = 5 + 1 + 1.5 + 2.5 + 2.5 + (5-1.5-2.5) + 2
perimeter = 5 + 1 + 1.5 + 2.5 + 2.5 + 1 + 2
perimeter = 15.5cm
simplify y = (204 - 12p) /12
Answer:
y = 17 - p
Step-by-step explanation:
Given y = (204 - 12p) /12
we need to simplify
To do so all we have to do is divide what is inside of the parenthesis by 12
204/12=17
-12p/12=-p
we're left with y = 17 - p
For which mapped relation is the domain ?
Answer:
C.
Step-by-step explanation:
For any of the given functions, all of the first input values (x-values) in the relation are considered the domain values. On the other hand, the output values (y-values) are called the range values of the given equation.
The mapped relation is the domain (1, 2, 3). Since this is domain values (x-values), the correct answer will be the mapped with 1, 2, and 3 on the left side.
The correct answer is C.
Hope this helps!
Help help help help math math
Answer:
Answer:The circumference of this circle is 60.
Hope you could get an idea from here.
Doubt clarification - use comment section.
In the equation 80 divided by 10 equals 8, the number 80 is the…. A: dividend. B: quotient. C: divisor. D: remainder.
Answer:
he dividend number is 80, the number used to divide another number is 10 and the result of the dividing two number is 8.
Step-by-step explanation:
ABCD is an isosceles trapezium. Prove that: (1) (2) (3) AC=BD BE = CE AE = DE
is there a picture included in this problem? if so please comment it so i can answer this problem.
Find the unit tangent vector t(t) at the point with the given value of the parameter t. r(t) = 4 t i 3t2 j 3t k, t = 1
The unit tangent vector t(1) at t = 1 is:
t(1) = (4 i + 6 j + 3 k) /\(\sqrt{(61)}\)
To find the unit tangent vector,
we need to calculate the derivative of the position vector r(t) with respect to the parameter t, and then normalize the resulting vector.
Given the position vector r(t) = 4t i + 3t^2 j + 3t k,
we can find the derivative:
r'(t) = d(r(t))/dt
= 4 i + 6t j + 3 k
Now, we can evaluate r'(t) at t = 1:
r'(1) = 4 i + 6(1) j + 3 k
= 4 i + 6 j + 3 k
To obtain the unit tangent vector,
we need to normalize r'(1):
t(1) = r'(1) / ||r'(1)||
where ||r'(1)|| represents the magnitude or length of r'(1).
The magnitude of r'(1) is given by:
||r'(1)|| = \(\sqrt{((4^2) + (6^2) + (3^2))}\)
= \(\sqrt{61}\))
This is the normalized vector representing the direction of the tangent to the curve at the point where t = 1.
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72 = 8(v − 86)
please help me !! i hate ixl lol
Hey! Your answer would be V=95
Write the equation of the ellipse that has its center at the origin with focus at (0,4) and vertex (0,7).
1) Notice that, in this case, the center is at (0,0) the focus at (0,4) and the Vertex is at (0,7)
2) Since the focus is at the y-axis, and the center is at the origin we can start from the following formula:
\(undefined\)write the equation of the line with the given the following two points (3,2)(0,-8)
Answer:
By using formula of two points form
y-y1=y2-y1/ x2-x1(x-x1)
y-2= (-8)-2/0-3( x-3)
y-2 = -10/-3 (x-3)
3y-6 = 10x-3
10x-3y+3= 0 is the equation
hope you have understand
Subway creates a paid promotion featuring a different 6-inch sub of the day each day of the week. The sub of the day is only $3. 50. Subway utilizes the radio to spread the word. Which promotion method is subway using?.
Based on the information provided, the promotion method subway is using is sales promotion.
What is promotion?It is a marketing tool that involves letting know potential customers about a product that a company wants to sell.
What are the promotion methods?Most common methods include:
Direct selling.Public relations.Sales promotion.What is sales promotion?This involves promoting or advertising products through sales, which means customers are offered special discounts or lower prices. This is the method used by the subway because the sub of the day is a sales.
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How do I solve this?
Answer:
sin (330)
csc (60)
cos (390)
Step-by-step explanation:
Solve the trigonometric equation by isolating the function and then taking the inverse. Use the period to find the full set of all solutions
Help me with the even numbers. 2,4,6,and8
2= 2
4=10
i cant see 6 or 8
The box plot shows the calorie count in a few meals from a fast food chain. What is the least number of calories in a meal?
Answer:
220
Step-by-step explanation:
Got it right :)
Pls make me brainliest
Answer:
220
Step-by-step explanation:
This laboratory experiment requires the simultaneous solving of two equations each containing two unknown variables. There are two mathematical methods to do this. One: rearrange one equation to isolate one variable (eg, AH = ...), then substitute that variable into the second equation. Method two: subtract the two equations from each other which cancels out one variable. Prepare by practicing with the data provided below and use equation 3 to solve for AH, and AS. Temperature 1 = 15K Temperature 2 = 75 K AG= - 35.25 kJ/mol AG= -28.37 kJ/mol
The values for AH and AS using the given data and the two methods described are:
AH = -36.4 kJ/mol.
AS = -0.115 kJ/(mol*K),
How to solve for AH and As using the two methods?We shall apply the two provided methods to solve for AH and AS on the provided data.
Method One:
We'll use the Gibbs free energy equation:
ΔG = ΔH - TΔS
where:
ΔG = change in Gibbs free energy,
ΔH = change in enthalpy,
ΔS = change in entropy,
T= temperature in Kelvin.
Given:
T1 = 15 K
T2 = 75 K
ΔG1 = -35.25 kJ/mol
ΔG2 = -28.37 kJ/mol
We set up two equations using the provided data:
Equation 1: ΔG1 = ΔH - T1ΔS
Equation 2: ΔG2 = ΔH - T2ΔS
Method Two:
We subtract Equation 1 from Equation 2 to eliminate ΔH:
ΔG2 - ΔG1 = (ΔH - T2ΔS) - (ΔH - T1ΔS)
ΔG2 - ΔG1 = -T2ΔS + T1ΔS
ΔG2 - ΔG1 = (T1 - T2)ΔS
Now we have two equations:
Equation 3: ΔG1 = ΔH - T1ΔS
Equation 4: ΔG2 - ΔG1 = (T1 - T2)ΔS
Next, we solve these equations to find the values of AH and AS.
Plugging in the values from the given data into Equation 3:
-35.25 kJ/mol = AH - 15K * AS
AH = -35.25 kJ/mol + 15K * AS
Put the values from the given data into Equation 4:
(-28.37 kJ/mol) - (-35.25 kJ/mol) = (15K - 75K) * AS
6.88 kJ/mol = -60K * AS
So, we got two equations:
Equation 5: AH = -35.25 kJ/mol + 15K * AS
Equation 6: 6.88 kJ/mol = -60K * AS
We can solve these two equations simultaneously to find the values of AH and AS.
Substituting Equation 6 into Equation 5:
AH = -35.25 kJ/mol + 15K * (6.88 kJ/mol / -60K)
AH = -35.25 kJ/mol - 1.15 kJ/mol
AH = -36.4 kJ/mol
Put the value of AH into Equation 6:
6.88 kJ/mol = -60K * AS
AS = 6.88 kJ/mol / (-60K)
AS = -0.115 kJ/(mol*K)
So, AH = -36.4 kJ/mol and AS = -0.115 kJ/(mol*K).
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find the point at which the line intersects the given plane. x = 3 − 3t, y = 4t, z = 1 t; x 2y − z = 6
Answer:
(x,y,z)= (0,1,0)
Step-by-step explanation:
Explanation:
Given
[1]XXXx=−1−t
[2]XXXy=2+t
[3]XXXz=1+t
[4]XXX3x+y+3z=1
Substitute the expressions for x,y,z from [1], [2], and [3] into [4]
[5]XXX3(−1−t)+2+t+3(1+t)=1
Simplify [5]
[6]XXX2+t=1
[7]XXXt=−1
(x,y,z)=(−1−(−1),2+−1,1+−1)
XXXX=(0,1,0)