Answer:
n=-17/3
Step-by-step explanation:
16-(n.6)=50
16-6n=50
-6n=34
n=34/-6
n=-17/3
What is the Y-intercept of the following quadratic graph?
(1 Point)
Answer: 1
Step-by-step explanation:
Answer:
Step-by-step explanation:
The red graph intersects the y-axis at (0, 1). This is the "y-intercept."
" Let A and B be sets. Prove: If A ⊆ B , then B^c ⊆ A^c. "Not sure how to prove using the proof skeleton:Let x\epsilonA. Meaning [ other steps to prove this]. Which ultimately means that Bc is a subset of Ac.You cannot use proof by example to prove this. It has to work for any set A or B, or their complements. Thank you. I will give feedback.
In this proof, we first assume that A ⊆ B and take an arbitrary element x of B^c. Then, we assume for the sake of contradiction that x is also an element of A.
Using the fact that A ⊆ B, we show that x must also be an element of B, which contradicts our assumption that x is in B^c. This contradiction allows us to conclude that our assumption that x is in A must be false, and therefore x is in A^c. Since x was arbitrary, we have shown that for any element of B^c, it must also be in A^c. Therefore, B^c ⊆ A^c.
To prove the statement "If A ⊆ B, then B^c ⊆ A^c," we can use the following proof skeleton:
Proof:
1. Let x be an arbitrary element of B^c.
2. Assume for the sake of contradiction that x is an element of A.
3. Since A ⊆ B, we know that x is also an element of B.
4. But this contradicts our assumption that x is an element of B^c.
5. Therefore, our assumption that x is an element of A must be false.
6. Thus, x is an element of A^c.
7. Since x was arbitrary, we have shown that for any x in B^c, x is in A^c.
8. Therefore, B^c ⊆ A^c, as required.
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Of the students at I.S. 59, 230 signed up for the school picnic. That was 50% of all students in the school. How many students attend I.S. 59
Answer: 460 students
Step-by-step explanation:
Based on the information given in the question, let the total number of students that attend I.S. 59 be represented by x.
Since we've been given the information that 230 signed up for the school picnic which was 50% of all students in the school. Then, the students in the school will be:
= 50% of x = 230
0.5 × x = 230
0.5x = 230
x = 230/0.5
x = 460
Therefore, 460 students attend the school.
Write an exponential function in the form y=ab^xy=ab x that goes through points (0, 7)(0,7) and (5, 224)(5,224).
The exponential function in the form of an equation will be equal to \(y = 7(5.6)^x\).
What is an exponential function?Exponents are used in exponential functions, as the name implies. But take note that an exponent does not have a variable as the exponents and a fixed as the base.
As per the given information in the question,
The exponential form of the equation is,
\(y = ab^x\)
As per the given points,
(0, 7) and (5, 224)
At Point (0, 7)
7 = ab⁰
a = 7
Then, at point (5, 224)
224 = 7(b)²
b = √32
b = 5.65
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PLEASE HELP ME PLZ PLZ PLZ
Answer:
4
Step-by-step explanation:
pythagoras theorem = a* + b* = c* ( by '*' i mean squared)
2* + b* = square root twenty
4 + b* = 20
b* = 16
b = 4
Which expression has an equivalent value to x2 + 9x + 8 for all values of x?
(x + 1)(x + 8)
(x + 2)(x + 6)
(x + 4)(x + 4)
(x + 5)(x + 4)
The diagram shows a cubiod of dimensions 10cm×8cm×5cm.Work out the total surface area of the cubiod.
Answer:
340cm²
Step-by-step explanation:
u multipley the values by 2
NEED ANSWER QUICKLY PLEASE
The height of a model rocket, H(f), is a function of the time since it was
launched, f.
AHD
450-
400-
350
300-
250
200-
150-
100
50-
20
30
Time (seconds)
8
The domain of H(t) is given as follows:
B. 0 ≤ t ≤ 36.
How to obtain the domain and range of a function?The domain of a function is defined as the set containing all the values assumed by the independent variable x of the function, which are also all the input values assumed by the function.The range of a function is defined as the set containing all the values assumed by the dependent variable y of the function, which are also all the output values assumed by the function.The values of x of the graph range from 0 to 36, hence the domain of the function is given as follows:
B. 0 ≤ t ≤ 36.
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Caleb decreases a number by 6 and then multiplies it by 2. He gets the same answer as
when he subtracts 8 from the original number. What is the number?
please answer!!
Answer: 4
Step-by-step explanation: If Caleb starts with 4 and subtracts 6, he'll get -2. -2 times 2, equals -4. If he starts with 4 and subtracts 8, he'll again end up with -4, meaning the original number is 4!
4-6= (-2)
-2*2= (-4)
4-8= (-4)
What is a mathematical expression in linear programming that maximizes or minimizes some quantity?.
The term "Objective Function" refers to a mathematical model in linear programming which maximizes as well as minimizes some quantity.
What is termed as the Objective Function?To solve optimization problems, the objective function is required. An objective function is a linear representation of a form Z = ax + by, for which a, b are constraints and x, y are variables that must be maximized or minimized. The decision variables are variables x and y. A few constraints govern an objective function, among them are x > 0, y > 0. Linear Programming (LP): The notion of linear programming is concerned with determining the optimal value of such a linear function, also known as an objective function. The term linear refers to all of the mathematical relationships applied to the problem, and the term program makes reference to the method used to determine a specific program or plan of action.Thus, in either a mathematical optimization problem, the objective function is the real-valued function for whom value must be minimized or maximized well over set of feasible alternatives.
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Please help me please please please please
Answer:
Step-by-step explanation:
\(\frac{y_{2} -y_{1} }{x_{2} -x_{1}}\)
lets do (1.5, 3.6) and (2.5, 6)
(6 - 3.6) / (1.5 - 2.5)
put answer in comment and i will mark
please put brainest
6) How long will it take for an investment to double in value if it earns 4.75% compoundedcontinuously?A) 14.593 yearsB) 15.711 years C) 23.129 years D) 7.296 years
A quantity that is compounded continuously follows the next equation:
\(A=Pe^{rt}\)Where:
\(\begin{gathered} A=\text{ amount in time ''t''} \\ P=\text{ initial amount} \\ r=\text{ rate of interest in decimal form} \\ t=\text{ time} \end{gathered}\)Now, the interest rate in decimal notation is determined by dividing the percentage by 100:
\(r=\frac{4.75}{100}=0.0475\)Now, we are asked to determine the time required for the quantity to double. Therefore, we need to determine "t" when:
\(A=2P\)Substituting in the formula we get:
\(2P=Pe^{rt}\)Now, we can cancel out the "P":
\(2=e^{rt}\)Now, we solve for "t". First, we take the natural logarithm to both sides:
\(ln2=lne^{rt}\)Now, we use the following property of logarithms:
\(lnx{}^y=ylnx\)Applying the property we get:
\(ln2=rtlne\)We have that:
\(lne=1\)Therefore:
\(ln2=rt\)Now, we divide both sides by "r":
\(\frac{ln2}{r}=t\)Now, we substitute the value of "r":
\(\frac{ln2}{0.0475}=t\)Solving the operations:
\(14.593=t\)Therefore, the right option is A.
can any of yalls help with this one
Answer:
it's the last option
Step-by-step explanation:
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Order the numbers 11/20, 49, 0.5 from least to greatest.
what is the solution for 3х + y = -5
\(\tt Step-by-step~explanation:\)
\(\tt Solve~for~y:\)
To solve for y, we have to move all of the terms that do not equal to y on one side, and let y be on the other side alone. Do this by subtracting 3x on both sides to cancel it out from the left side and bring it to the right.
\(\tt 3x-3x+y=-5-3x\\y=-5-3x\\y=-3x-5\)
\(\tt Solve~for~x:\)
To solve for x, we will do the same thing we did to solve for y: move all the terms that do not equal to x to one side, and leave x on another side of the equation. We can do this by first subtracting y from both sides.
\(\tt3x+y-y=-5-y\\3x=-y-5\)
Then, we divide all terms by 3 to isolate the x.
\(\tt \frac{3x}{3}=x\\\\ \frac{-y}{3}=\frac{-y}{3} \\\\\frac{-5}{3}=\frac{-5}{3}\)
\(\tt x=-\frac{y}{3} -\frac{5}{3}\)
\(\lare\boxed{\tt Our~final~answer:~y=-3x=5,~x=-\frac{y}{3}-\frac{5}{3} }\)
Which is the best estimate for the value of r in the scatter plot? NEED HELP ASAP
A 0.7
B 0
C -0.5
D 1
Answer:
The anwser is A
Step-by-step explanation:
A is the best anwser choice given
dillon (2019, unit 2, chapter 14) recommends that the amount of time college students spend studying each week should be about the amount of time spent in class.
Using a proportional relationship, it is found that:
Dillon recommends that the amount of time college students spend studying each week should be about the amount twice the time spent in class.
What is a proportional relationship?A proportional relationship is a function in which the output variable is given by the multiplication of the input variable and the constant of proportionality represented by k, according to the rule presented as follows:
y = kx
For this problem, the variables are presented as follows:
Variable x: number of units in class.Variable y: number of hours studied.From the table, the constant is calculated as follows:
k = 24/12 = 18/9 = 12/6 = 2.
Meaning that the amount of study should be twice the time spent in class.
Missing InformationThe table relating the variables is given at the end of the answer.
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ASAP "BRAINLIST" What is the slope of the line represented by the equation 3x+4y= 12? –43 –34 34 43
Answer:
m=-3/4
Step-by-step explanation:
Slope by using standard form
Answer: the answer is 3/4 and not negative
Step-by-step explanation:
i took the k12 test
Select the correct answer. What is the standard form of this complex number? 1 3 − − 4 A. 3 − 2 i B. 3 + 2 i C. 3 5 + − 2 5 D.
Answer:
A.
Step-by-step explanation:
an ecology center wants to set up an experimental garden in the shape of a rectangle. the length of the rectangle is 4 yards longer than the width. what are the dimensions of the garden if the enclosed area is 21 square yards. state units.
1. two lines that do not lie in the same plane parallel lines 2. planes that have no point in common skew lines 3. lines that are in the same plane and have no points in common parallel planes
1. Two lines that do not lie in the same plane and are parallel:
- Line 1: x = 2y + 3z
- Line 2: x = 2y + 3z + 5
In this case, both lines have the same direction vector, which is [2, 1, 0], but they do not lie in the same plane.
2. Two planes that have no point in common and are skew lines:
- Plane 1: x + 2y - z = 4
- Plane 2: 2x - 3y + z = 6
These two planes are skew because they do not intersect and have no common points.
3. Two lines that are in the same plane and have no points in common are not called parallel planes. In this case, they are referred to as coincident lines.
Parallel planes are planes that do not intersect and are always separated by a constant distance.
If you are looking for an example of parallel planes, here's one:
- Plane 1: x + 2y - z = 4
- Plane 2: x + 2y - z + 5 = 0
Both planes have the same normal vector [1, 2, -1], and they are parallel to each other.
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In the decimal equivalent to 7/22, which digits in the decimal repeat?
Answer:
18
Step-by-step explanation:
\( \frac{7}{22} \)
in the decimal is 0,3181818182
so, 18 repeats in the decimal
Properties of Matter Unit Test
1 of 121 of 12 Items
Question
A scientist adds iodine as an indicator to an unknown substance. What will this indicator reveal about the substance?(1 point)
the presence of glucose
the presence of glucose
the presence of lipids or fat
the presence of lipids or fat
the presence of baking powder
the presence of baking powder
the presence of starch
the presence of starch
A scientist adds iodine as an indicator to an unknown substance. This indicator will reveal the presence of starch about the substance.What is an indicator?An indicator is a substance that helps in identifying the presence or absence of another substance or property. Indicators can be both physical and chemical.
The iodine is used as an indicator in this scenario. It's mainly used to indicate the presence of starch in any unknown substance. It's because iodine interacts with starch to produce a bluish-black colour.How can iodine detect starch?Iodine is a dark-colored solution, usually brown, but it turns blue-black when it encounters starch molecules. It's because the iodine molecule slips between the glucose monomers in the starch molecule, forming a helix.The helix that forms between the glucose and iodine molecules causes the iodine to appear blue-black. Therefore, the presence of iodine as an indicator will reveal the presence of starch about the substance.
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write each power as a product of the same factor. Then find the value. 4^4
Answer:
256
Step-by-step explanation:
4^4 means 4raise to power 4. so, it's typically 4x4x4x4 which is 256
Which values represent the independent variable? (–2, 4), (3, –2), (1, 0), (5, 5) A. {–2, 3, 1, 5} B. {4, –2, 0, 5} C. {–2, 4, 3, –2} D. {–2, –1, 0, 5} Please select the best answer from the choices provided A B C D
Answer:
The independent variable is the variable that is manipulated or changed during an experiment. In this case, the independent variable is represented by the x-values of the given points.
So, the answer would be option A: {-2, 3, 1, 5}
Step-by-step explanation:
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a triangular window can only have an area of 120 square feet and the architect wants the base to be 4 feet more than twice the height. find the base and height of the window.
the base of the triangular window is 24 feet and the height is 10 feet.
Let's denote the height of the triangular window as h feet. According to the given information, the area of the window is 120 square feet.
The formula to calculate the area of a triangle is:
Area = (1/2) × base × height
In this case, we can write the equation as:
120 = (1/2) × base × h
Now, we are also given that the base of the window is 4 feet more than twice the height. So we can express the base as:
base = 2h + 4
Substituting this expression for the base into the area equation, we have:
120 = (1/2) × (2h + 4) × h
Now we can solve this equation for the height.
Multiplying both sides of the equation by 2 to remove the fraction:
240 = (2h + 4) × h
Expanding the right-hand side:
240 = 2h² + 4h
Rearranging the equation and setting it equal to zero:
2h² + 4h - 240 = 0
Now we can solve this quadratic equation. Factoring out a 2:
2(h² + 2h - 120) = 0
Factoring the quadratic expression inside the parentheses:
2(h + 12)(h - 10) = 0
Setting each factor equal to zero:
h + 12 = 0 or h - 10 = 0
Solving these equations, we get:
h = -12 or h = 10
Since height cannot be negative in this context, we discard the negative value. Therefore, the height of the triangular window is h = 10 feet.
Substituting the height value back into the expression for the base:
base = 2h + 4
= 2(10) + 4
= 20 + 4
= 24
Therefore, the base of the triangular window is 24 feet and the height is 10 feet.
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Yesterday Jack drove 33 1/2 miles he used 1 1/4 gallons of gasoline what is the unit rate for miles per gallon
Answer: 26 4/5 miles pee gallon
Step-by-step explanation:
From the question, we are informed that Jack drove 33 1/2 miles and that he used 1 1/4 gallons of gasoline. The unit rate for miles per gallon will be calculated by dividing 33 1/2 by 1 1/4. This will be:
= 33 1/2 ÷ 1 1/4
= 26 4/5 miles per gallon
Pls help and thankssss
Answer:
270 is the answer
-Sumin <3
Alan made $154 for 11 hours of work.
At the same rate, how much would he make for 13 hours of work?
Answer:
$182
Step-by-step explanation:
he made $154 in 11 hours
so it means that in 1 hour he makes 154/11
and then in 13 hours he makes 154/11*13=182
Answer:
$182
Step-by-step explanation:
U will divide 154 by 11 to get for one hour then ur result will be multiplyed by 13 to give u the answer.
154/11=44
44×13=182