Answer:
C. and A.
Step-by-step explanation:
4. 5(x + 3) - 2x
5x + 15 - 2x
3x + 15
5. -6x + 2.5(x - 1) - 5x
-6x + 2.5x - 2.5 - 5x
-8.5x - 2.5
Given: x is an integer. Conjecture: -x is negative. Counterexample:
Using zero as a counterexample, it disproves the conjecture '-x is negative', because when x=0, -x (which becomes -0) equals 0, not negative.
Explanation:A counterexample is an example that disproves a statement or proposition. In this case, we are given the conjecture '-x is negative'. If x is an integer, it can be positive, negative, or zero. To counter this statement, we can use zero as a counterexample. When x=0, -x (which becomes -0) is not negative but equals to 0. This proves that the original conjecture is not always correct, as it can have exceptions.
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The number of potato chips in a bad is normally distributed with a mean of 75 and a standard deviation of 5 approximately what precent of bags contain between 65 and 85 potato chips
Answer:
95%
Step-by-step explanation:
We have that:
The number of potato chips in a bad is normally distributed with a mean of 75 and a standard deviation of 5.
We want to use the empirical rule to solve this:
We know that:
65=75-2(5)
That means
[tex]65 = 75 - 2 \sigma[/tex]
Also, 85=75+2(5)
[tex]85 = 75 + 2 \sigma[/tex]
According to the the empirical rule approximately 95% of the distribution is within 2 standard deviation of the mean
o
A teacher wrote the equation 3y + 12 = 6x on the board. For what value of b would the additional equation 2y = 4x +
b form a system of linear equations with infinitely many solutions?
Ob= -8
Ob=-4
Ob=2
O b = 6
Intro
Done
Answer:
b= -8
Step-by-step explanation:
we have: 3y +12 = 6x <=> y + 4 = 2x <=> y= 2x - 4
=> 2y=4x + b
<=> 2(2x-4) = 4x +b
<=> 4x - 8= 4x +b
<=> b = -8
Iris's Botanical Garden produced flowers throughout the year. A graph demonstrating how many flowers she produced over a 11-month period is shown:
A: The domain represents a 180-month period of flower production.
B: The domain represents a 11-month period of flower production.
C: The domain represents the total number of flowers produced each month.
D: The domain represents the total number of flowers produced in 11 months.
Answer:
B: The domain represents a 11-month period of flower production.
Step-by-step explanation:
The domain of a Function
It's the set of all the values a function can take in its independent variable. The independent variable (usually x) is represented as the horizontal axis of a graph, where we can know the interval of values considered for values of the function.
In the provided graph, we can see the horizontal axis is labeled 'Months' and its values range from 1 to 11. The vertical axis is labeled "Number of flowers produced" which will be the Range of the function.
From the options presented, we can discard the C and D because they are related to the number of flowers produced, which is not the domain of the function. The option A talks about the months of production but the months range up to 180. Option B is the correct choice.
B: The domain represents a 11-month period of flower production.
A submarine lies 3 kilometers from the path of a target ship. The sub’s torpedoes have a range of 5 kilometers. For what distance along its path will the target ship be within range of the torpedoes?
The distance along the path of the ship be within the range of the torpedoes is 4 kilometers.
Explanation:
The submarine lies 3 km from the target ship.
Let B denotes the target ship and C denotes the submarine.
Let AC denotes the the target ship would be within the range of the torpedoes.
The image attached below illustrates that the distance between submarine and the target ship and the range of the torpedoes.
Let BC denotes the distance between the target ship and the submarine. Let AC denotes the range of the torpedoes.
To determine the length of AB, let us use Pythagorean theorem,
[tex]AC^{2} =AB^{2} +BC^{2}[/tex]
Substituting the values of BC = 3 and AC = 5, we have,
[tex]5^{2} =AB^{2} +3^{2}[/tex]
Squaring the terms, we get,
[tex]25 =AB^{2} +9[/tex]
Subtracting both sides by 9, we have,
[tex]16 =AB^{2}[/tex]
Taking square root on both sides,
[tex]AB = 4[/tex]
Thus, the distance along the path of the ship be within the range of the torpedoes is 4 kilometers.
-8-w/9 + 4s use w=36 and s equal 5
Answer:
ight man that answer is 43 your welocome smart aint i
Step-by-step explanation:
Answer:
answers: 8
Step-by-step explanation:
1/4(10-7y)=15
Solve for y
Answer:
1/3 (39.09)=17 thats all thanks
4.5+16.02 work and answer
Answer: 20.52
Step-by-step explanation:
Answer:20.52
Step-by-step explanation:
A line the decimals on top of each other then add the whole numbers and the numbers outside of the decimal
Yesterday 5/7 of the 49 students in a contest gave their speeches. How many students gave their speeches? Write your Answer in simplest form.
Answer:
35
Step-by-step explanation:
given total number of students = 49
fraction of students that gave speeches = 5/7
number of students that gave speeches
= (5/7) x 49
= (5 x 49) / 7
= 245/7
= 35
Answer:35 students have their speeches
Step-by-step explanation:
1/7 of 49 is 7, so if it is 5/7 of the students multiply 5x7
The ellipse x^2/4 + y^2/16 = 1
Has a vertical axis of??
8
16
4
3
The vertical axis of the given ellipse x^2/4 + y^2/16 = 1 is 8 units long, and each semimajor axis for an ellipse with a major axis of 16 cm would be 8 cm. An ellipse with an eccentricity of 0.8 would be considered elongated.
Explanation:The ellipse given by the equation x^2/4 + y^2/16 = 1 has a vertical major axis. This can be deduced because the larger denominator is under the y^2 term, meaning the ellipse stretches further in the y-direction. In this case, the length of the major axis is 2 times the square root of 16, which is 2 times 4, equaling 8. Therefore, the major axis is 8 units long, and since each semimajor axis is half of the major axis, the semimajor axis would be 4 units long. Consequently, for the given options, the vertical axis of the ellipse is 8.
Considering a different ellipse with a major axis of 16 cm, the semimajor axis would be half of this length, resulting in 8 cm. If such an ellipse has an eccentricity of 0.8, it is more elongated than circular. Typically, ellipses with lower eccentricities (closer to 0) appear more circular, while those with higher eccentricities (closer to 1) appear more elongated.
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Which three statements about the expression x² + 7x + 6 are true? Can you choose which are correct please?
x is a variable in the expression.
2 is the coefficient of one term of the expression.
The expression has three terms.
6 is a factor of the expression.
7 is the coefficient of one term of the expression.
Answer:
A, C, and E are correct
Step-by-step explanation:
B can't be right because 2 is an exponent, not a coefficient
D can't be right because 6 doesn't go into 7
Hope this helped!
whats the answer for
2×(9×4-35)+27=
Answer:
Step-by-step explanation: 2× (9×4-35) +27
Using BODMAS
= 2× (36-35)+27
=2×(1) + 27
=2 + 27
=29
What could be the scale factor of the following similar figures?
A. 2/3
B. 3/4
C. 1
D. 3/2
E. 4/3
There are two correct answers.
Answer:
2/3 and 3/2
Step-by-step explanation:
I got a problem like that in class today and I got it right lol
The scale factor of the following similar figures is 2/3 or 3/2.
Similar FiguresTwo figures are said to be similar if they have the same shape and proportional sides.
Therefore the ratio of their corresponding sides are constant. The scale factor is the same as the ratio of their corresponding sides.
From the question:
Scale factor = 6/9 or 9/6 = 2/3 or 3/2Hence the scale factor of the following similar figures is 2/3 or 3/2.
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The following diagram shows that the state of Nevada is shaped somewhat like a trapezoid. Which measurement is the approximate area of the state of Nevada 320 miles, 200 miles, and 480 miles?
The area of Nevada, based on map measurements converted to actual miles using the map's scale, is calculated to be approximately 156,800 square miles.
Explanation:The question relates to finding the area of the state of Nevada using its scaled measurements from a map. Given that the scale on the map is 1/2" to 20 miles, and the physical distances measured on the map are 8" wide and 12.25" long, we need to convert these measurements into actual miles before calculating the area. To do this conversion, we set up a proportion based on the scale given:
0.5 inch/20 miles = 12.25 inches/x milesBy cross-multiplying, we find that x, the actual length in miles, is approximately 490 miles. Having converted both the width (8" which is equivalent to 320 miles) and the length, we can now calculate the area of the trapezoid that represents Nevada. Assuming the shape is close to rectangular for simplicity, the area would be width × length, or:
Area = 320 miles × 490 miles = 156,800 square miles.
The length of a rectangle is 2 feet more than the width. If it’s perimeter is 40 feet, find the length and width
Answer:
w=9 feet
l=11 feet
Step-by-step explanation:
Let the length of the rectangle be l and width be w
Condition 1:
l=2+w --------(I)
Condition 2:
2l+2w=40--------(2)
Putting eq (1) in (2)
2(2+w)+2w=40
4+2w+2w=40
4+4w=40
4w=40-4
4w=36
Dividing both sides by 4
w=9
Now
Putting w=9 in eq (1)
l=2+9
l=11
(0.3x + 64) degrees (0.1 + 32) degrees find the value of x
Answer:
[tex]x=-15[/tex]
Step-by-step explanation:
Complete question : In a right triangle other two angles are [tex](0.3x+64)\textdegree\ and\ (0.1x+32)\textdegree[/tex] find the value of [tex]x[/tex].
In a right angle the third angle is [tex]90\textdegree[/tex]
we know that
Sum of angle in a triangle [tex]=180\textdegree[/tex]
[tex](0.3x+64)+(0.1x+32)+90=180\\\\0.3x+64+0.1x+32+90=180\\\\0.4x+96+90=180\\\\0.4x+186=180\\\\0.4x=-6\\\\[/tex]
Dividing [tex]0.4[/tex] both sides
[tex]\frac{0.4x}{0.4}=\frac{-6}{0.4}\\\\x=\frac{-60}{4}\\\\x=-15[/tex]
PLZ answer this question correctly
Simplify the expressions and evaluate for (i) y = -2, (ii) y = 3.
3y (2y-7) - 3 (y - 4) - 63
Simplified expression is 6y² - 24y - 51. Value for y=-2 is 21 and value for y=3 is -69.
Step-by-step explanation:
Step 1: Given expression is 3y(2y-7) - 3(y - 4) - 63. Simplify it.⇒ 6y² - 21y - 3y + 12 - 63
⇒ 6y² - 24y - 51
Step 2: Find value of the expression for y = -2⇒ 6y² - 24y - 51 = 6(-2)² - 24(-2) - 51 = 24 + 48 - 51 = 21
Step 3: Find value of the expression for y = 3⇒ ⇒ 6y² - 24y - 51 = 6(3)² - 24(3) - 51 = 54 - 72 - 51 = -69
If 3 (x+6)= 39, Then x =
The value of x = 7
What are linear equalities in one variable?
The linear equation in one variable is an equation that is expressed within the form of ax+b = zero, where a and b are integers, and x is a variable and has only one answer.
Conclusion: For example, 2x+3=8 is a linear equation having a single variable in it. therefore, this equation has only one solution, which is x = 5/2.
3 (x+6)= 39
3x + 18 = 39
3x = 39 - 18
3x = 21
x = 21/3
x = 7
The above question is an example of linear equalities in one variable.
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I do not get how to do this problem
Answer:
Cross multiply
Step-by-step explanation:
[tex]\frac{2x+1}{3}\geq 5\\\\ 2x+1\geq 15\\2x\geq 15-1\\2x\geq 14\\\frac{2x}{2}\geq \frac{14}{2}\\ x\geq \frac{(2)(7)}{2}\\ x\geq 7[/tex]
simplify ( 1/2 x− 3/8 )÷ 1/3 + 4/7 (5− 1/4 x)
Answer:
19x/14 + 97/56
Step-by-step explanation:
You roll a six-sided die. How likely is it that you roll a number less than 6?
A) certain
B) likely
C) unlikely
D) impossible
Answer:
b
Step-by-step explanation:
1/6 / 1 2/3 divide fraction to simplest form
Answer:
1/10
Step-by-step explanation:
1/6 / 1 2/3
Convert 1 2/3 to 5/3.
1/6 / 5/3
1/6 x 3/5
3/30 or 1/10
The result of the division of 1/6 by 1 2/3 can be found by first converting 1 2/3 to an improper fraction, then taking the reciprocal of this fraction and multiplying it by 1/6. This gives the result as 1/10.
Explanation:To solve this fraction division problem, we first need to convert the mixed number 1 2/3 to an improper fraction. A mixed number like 1 2/3 means one plus 2/3, and it can be converted to an improper fraction by multiplying the whole number by the denominator and adding the numerator. For 1 2/3, this means: (1*3 + 2)/3 = 5/3.
Now, we have the problem 1/6 / 5/3. In fraction division, we can replace the division with multiplication by the reciprocal of the second fraction. The reciprocal of a fraction is created by switching the numerator and the denominator. So, the reciprocal of 5/3 is 3/5.
Our equation 1/6 / 5/3 then becomes 1/6 * 3/5 = 3/30 = 1/10 when simplified. Hence, the result of 1/6 divided by 1 2/3 in its simplest form is 1/10.
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A local hamburger shop sold a combined total of 402 hamburgers and cheeseburgers. The number of cheeseburgers sold was two times the number of hamburgers sold. How many hamburgers were sold?
Answer:
134
Step-by-step explanation:
They sold 134 hamburgers. The shop sold 268 cheeseburgers. 268 is 2x as much as 134. Divide 402 by 3, and you can find the amount of hamburgers. Times it by 2, and you find the amount of cheeseburgers.
What is the value of the expression 22 + 62 ÷ 22? 10 13 16 36
Answer:10, hope it helps!! :)
Step-by-step explanation:
22 + 62 ÷ 22=
4 + 36 ÷ 4=10
What is the slope of a line that is parallel to the line shown on the graph?
−4
4
Answer:
C (1/4)
Step-by-step explanation:
Answer:
C 1/4
Step-by-step explanation:
PLEASE HELP QUICK I CANT FAIL THIS TEST
Simplify: 2x2(4x3 - 3x2 + 6x).
A) 6x5 - 5x4 + 8x3
B) 6x6 - 5x4 + 8x2
C) 8x5 - 3x4 + 12x2
D) 8x5 - 6x4 + 12x3
Answer:
24+24x I believe is the answer. Good luck on your test :)
Answer:
D
Step-by-step explanation:
2x2(4x3 - 3x2 + 6x)
= 2x²(4x³ - 3x² + 6x)
= 8x^5 - 6x⁴+ 12x³
What combination equals 12345
There are 120 combination in 12345.
What is Combination?A combination is a technique to determines the number of possible arrangements in a collection of items where the order of the selection does not matter.
Given that;
To find number of combination in 12345.
Since, There 5 digits in the given number.
Hence, Possible combinations are,
⇒ 5!
⇒ 5 × 4 × 3 × 2 × 1
⇒ 120
Thus, There are 120 possible combination in 12345.
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Complete question is,
How many combinations with 12345 without repeating the numbers?
A given line has the equation 2x+12y= -1
What is the equation in slope intercept form of the line that is perpendicular to the given line and passes through the point (0,9)
Step-by-step explanation:
Equation of the given line is :
[tex] 2x +12y= - 1\\
\therefore 12y = - 2x - 1\\
\therefore y = \frac {- 2}{12}x - \frac {1}{12}\\
\therefore y = - \frac {1}{6}x - \frac {1}{12}\\[/tex]
Equating above equation with [tex] y= m_1x + c
[/tex] we find:
[tex] m_1 = - \frac{1}{6}[/tex]
Where [tex] m_1[/tex] is the slope of given line:
Let the slope of required line be [tex] m_2.[/tex]
Since lines are perpendicular
[tex] \therefore m_1 \times m_2= - 1\\
\\\therefore - \frac{1}{6} \times m_2= - 1\therefore m_2= 6\\[/tex]
Equation of required line in slope point form is given as:
[tex] y-y_1 =m_2(x-x_1) \\
\therefore y-9 =6(x-0)\\
\therefore y-9 =6x\\
\huge\orange {\boxed {\therefore y =6x+9}} \\[/tex]
Answer: A. Y= -6x+9
Step-by-step explanation:
John, Mark, and Michael completed a total of 25 laps during track practice on Thursday. If John completed a laps,mark completed b laps, and Michael completed c laps, which equation BEST describes the number of laps Michael ran?
Answer:
25-a-b=c or also c=25-a-b
Step-by-step explanation:
We need to get "c" by itself.
The equation for the total amount of laps is a+b+c=25
To get c by itself, we subtract a and b from both sides
Thus, we get c=25-a-b
Hope this helped!