Answer:
the explanation contains numbered sticky notes please follow them in order and i do encourage you to follow along somewhere.
merry christmas :)
x = 67,
y = 124
A die was rolled 75 times with the following resulted: It landed on one-18 times, two-10 times, four-11 times, five-14 times, and six-7 times. How many times was a three rolled in these 75 times?
Answer: 15 Times
Step-by-step explanation: It's 15 Times because if you add all of the other rolled times together you'll get 60 and 75-60=15.
need help plz help me
Answer:
The last one t/5-6=-3
Step-by-step explanation:
All you have to do is plug in 15 to each equation, knowing this if you add 15 into this equation you would get 15/5-6=-3 and this is true because 15/5=3, 3-6=-3!
I hope this helps and have a great day!
How many solutions does this equation have?
9d − 8 = –8 + 9d
Answer:
Infinite many solutions
Step-by-step explanation:
9d − 8 = –8 + 9d
* add 8 to each side *
-8 + 8 cancels out
-8 + 8 cancels out
we're left with 9d = 9d
When the same number/variable is on each side of the equal sign there is an infinite amount of solutions
Suppose that the marginal cost function of a handbag manufacturer is C'(x) = 0.375x² - x + 500 dollars per unit at production level x (where x is measured in units of 100 handbags). Find the total cost of producing 10 additional units if 8 units are currently being produced. Total cost of producing the additional units: ___
Note: Your answer should be a dollar amount and include a dollar sign and be correct to two decimal places.
Answer:
$5535.00
Step-by-step explanation:
You want the cost to produce 10 more units if 8 are being produced and the marginal cost function is c'(x) = 0.375x² -x +500.
CostThe cost is the integral of the marginal cost. If we want 10 more units than the 8 being produced, the total cost for those units will be the definite integral of the marginal cost function from 8 to (8+10) = 18.
The attachment shows that integral to have a value of 5535.
The cost to produce 10 more units is $5535.00.
__
Additional comment
Many graphing calculators can do the numerical integration for you. The integral of the function is ...
C(x) = x³/8 -x²/2 +500x
The cost of interest is C(18) -C(8).
76.6, 25.5 and 10.87 estimated sum and actual sum?
estimated sum-114, actual sum-112.97
Step-by-step explanation:
76.6-77
25.5-26
10.87-11
77+26+11=114
76.6+25.5+10.87=112.97
how many sides does a regular polygon have if each of its interior angle measures 108 degree
Answer:
5
Step-by-step explanation:
180-108=72 interior + exterior angle add to 180
360/72=5
Answer:
Number of polygon sides = 360 / (180 - ONE INTERIOR ANGLE)
Number of polygon sides = 360 / (180 -108)
Number of polygon sides = 360 / 72
Number of polygon sides = 5
Source: http://www.1728.org/polygon.htm
Step-by-step explanation:
If the goal is to have the shortest commute time that which z-score would be desired? 4.25 2.55 -2.5 Question 8 If the goal is to have the highest exam score then which z-score would be desired? -2.5 0 1.5 3.5
For the shortest commute time, a z-score of -2.5 would be desired. For the highest exam score, a z-score of 3.5 would be desired.
To have the shortest commute time, a negative z-score would be desired because it represents a value below the mean. A z-score of -2.5 would indicate a commute time that is 2.5 standard deviations below the mean and would be the most desirable in terms of having the shortest commute time.
To have the highest exam score, a positive z-score would be desired because it represents a value above the mean. A z-score of 3.5 would indicate an exam score that is 3.5 standard deviations above the mean and would be the most desirable in terms of having the highest exam score.
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How do you solve \(x^2 + 7x + 2 = 0\)?
Answer:
-7 ± √6
x = ----------------
2
Step-by-step explanation:
You have several options here. One would be "completing the square," and another would be "quadratic formula."
Here the coefficients of this quadratic are a = 1, b = 7 and c = 2.
The discriminant is therefore b^2 - 4(a)(c), or 7^2 - 4(1)(2) = 6.
The roots are thus:
-7 ± √6
x = ----------------
2
11: (22, 12). (8.10)
12: (8, 20), (13, -30)
What is the slope equation?
Answer:
for number 11 the slope is 7 and for number 12 the slope is 10
Step-by-step explanation:
If triangle ABC is a right triangle AB is 21, BC is 42, and AC is 47, which of the following can be used to find the measure of Angle A? Select all that apply.
look at pic below for answer options:
Answer:
Sin(A) = 42/47
Cos(A)=21/47
Tan(A)=42/21=2
Solve the right triangle.
Round your answers to the nearest tenth.
Check
20
a
B = 48°
-0
0 =
C =
X
Answer:
∠ B = 48° , a ≈ 18.0 , c ≈ 26.9
Step-by-step explanation:
∠ B = 180° - ( 90 + 42)° = 180° - 132° = 48°
using the tangent ratio in the right triangle
tan42° = \(\frac{opposite}{adjacent}\) = \(\frac{a}{20}\) ( multiply both sides by 20 )
20 × tan42° = a , then
a ≈ 18.0 ( to the nearest tenth )
using the cosine ratio in the right triangle
cos42° = \(\frac{20}{c}\) ( multiply both sides by c )
c × cos42° = 20 ( divide both sides by cos42° )
c = \(\frac{20}{cos42}\) ≈ 26.9 ( to the nearest tenth )
(c) prove that for any positive integer n, 4 evenly divides 11n - 7n.
By mathematical induction, we have proved that for any positive integer n, 4 evenly divides 11n - 7n.
WHat is Divisibility?
Divisibility is a mathematical property that describes whether one number can be divided evenly by another number without leaving a remainder. If a number is divisible by another number, it means that the division process results in a whole number without any remainder. For example, 15 is divisible by 3
To prove that 4 evenly divides 11n - 7n for any positive integer n, we can use mathematical induction.
Base Case:
When n = 1, 11n - 7n = 11(1) - 7(1) = 4, which is divisible by 4.
Inductive Step:
Assume that 4 evenly divides 11n - 7n for some positive integer k, i.e., 11k - 7k is divisible by 4.
We need to prove that 4 evenly divides 11(k+1) - 7(k+1), which is (11k + 11) - (7k + 7) = (11k - 7k) + (11 - 7) = 4k + 4.
Since 4 evenly divides 4k, and 4 evenly divides 4, it follows that 4 evenly divides 4k + 4.
By mathematical induction, we have proved that for any positive integer n, 4 evenly divides 11n - 7n.
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Select all values that make the equation true.
2(x - 8) = x + 5x
X = -4
X = -16
X = -2
X = 0
Answer:
the only Answer is -4
Step-by-step explanation:
hope this helps
The price for gasoline is represented by the equation y = 2.72x, where y r represents the total price for x gallons of gasoline The graph goes through (5.44,2) and (8.16,3)
The graph goes through (5.44,2) and (8.16,3) is false.
What is slope intercept form of line?The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.
Given that price for gasoline is represented by the equation y = 2.72x,
where y r represents the total price for x gallons of gasoline
We have to check whether the line passes through (5.44,2) and (8.16,3)
From the equation the slope is 2.72.
Now let us check whether the two points gives the same slope.
m=3-2/8.16-5.44
=1/2.72
=0.36
Hence, the graph goes through (5.44,2) and (8.16,3) is false.
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Simplify 10 times the square root of quantity 3 x end quantity plus 4 times the square root of quantity 3 x end quantity plus 5 times the square root of quantity 3 x end quantity. 9 times the square root of quantity 3 x end quantity 9 times the square root of quantity 6 x end quantity 19 times the square root of quantity 3 x end quantity 19 times the square root of quantity 9 x cubed
The square root of the quantity x plus 7 end quantity minus 1 equals x=2.
What is square root?A number's square root is the factor that can be multiplied by itself to yield that number. Square root of, end square root is the symbol for square root. Finding an integer's square root is the inverse of squaring a number.To find the square root:
√(x + 7) − 1 = x√(x + 7) = x + 1x + 7 = (x + 1)²x + 7 = x² + 2x + 10 = x² + x − 60 = (x + 3) (x − 2)x = -3 or 2Check for extraneous solutions:
√(-3 + 7) − 1 = -3√4 − 1 = -32 − 1 = -31 = -3x ≠ -3√(2 + 7) − 1 = 2√9 − 1 = 23 − 1 = 22 = 2x = 2Therefore, the square root of the quantity x plus 7 end quantity minus 1 equals x = 2.
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The correct question is given below:
The square root of the quantity x plus 7 end quantity minus 1 equals x
It costs $363 to make 90 bags of cotton candy and $440 to make 200 bags of cotton candy.
a) find the cost equation.
Answer:
363=90bags
then you look into it and say
440=200bags
Rita made 36 brownies to share with her class. If each person has 2 brownies, how many people are in her class?
Answer:
18 people
Step-by-step explanation:
If Rita made 36 brownies and each person in her class takes two, the equation is going to look like 36/2.
36/2 = 18
Answer: 18
Step-by-step explanation:
36/2
Given a polynomial and one of its factors, find the remaining factors of the polynomial.
x^3-9x^2+27x-27; x-3
The factors of the polynomial x^3-9x^2+27x-27 are (x -3), (x - 3) and (x - 3)
What is Factor of the PolynomialThe polynomial you provided is x^3-9x^2+27x-27. If you know one of the factors of this polynomial, we can use that to find the remaining factors.
One factor of this polynomial is (x-3) as it gives remainder zero when divided by (x-3)
quotient is x² - 6x + 9
remainder is zero
So the remaining factors are (x-3) and x² - 6x + 9
Alternatively, we can factor the remaining quadratic polynomial x² - 6x + 9
by using Factor theorem or by using difference of squares
x² - 6x + 9 = (x - 3)²
So the remaining factors are (x-3) and (x - 3)
So the original polynomial can be factored as (x-3)(x-3)(x-3) = (x-3)³
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if the average value of the function f on the interval 2≤x≤6 is 3, what is the value of ∫62(5f(x) 2)dx ?
Therefore, the value of the integral ∫2^6 (5f(x))^2 dx is 900.
If the average value of the function f on the interval 2 ≤ x ≤ 6 is 3, we can express it mathematically as:
(1/(6 - 2)) ∫2^6 f(x) dx = 3
Simplifying this equation, we have:
(1/4) ∫2^6 f(x) dx = 3
Now, let's calculate the value of the integral ∫2^6 (5f(x))^2 dx:
∫2^6 (5f(x))^2 dx = 25 ∫2^6 (f(x))^2 dx
Since the average value of f on the interval 2 ≤ x ≤ 6 is 3, we can substitute it into the equation:
25 ∫2^6 (f(x))^2 dx = 25 * (4/1) * 3^2
Simplifying further, we get:
25 * (4/1) * 3^2 = 25 * 4 * 9 = 900
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help asap if you can pls!!!!!
Answer:
SAS, because vertical angles are congruent.
Find the volume
of the figure below:
Step-by-step explanation:
Use Pythagorean theorem to find the base of the right triangle
221^2 = 195^2 + b^2
b = 104 km
triangle area = 1/2 base * height = 1/2 * 104 * 195 = 10140 km^2
Now multiply by the height to find volume
10140 km^2 * 15 km = 152100 km^3
y4+5y2+9 factorise please help me
\(\displaystyle\ y^4 +5y^2+9=(y^2+3)^2-y^2=(y^2-y+3)(y^2+y+3)\)
Answer:
Solution given;
\( y^{4}+5y²+9\)
keeping \(y^{4} and 9 together \)
\(y^{4}+9+5y²\)
\((y²)²+3²+5y²\).....[I]
we have
a²+b²=(a+b)²-2ab
or
a²+b²=(a-b)²+2ab
same like that
\((y²)²+3²=(y²+3)²-6y² or (y²-3)²+6y²\)
remember that while adding or subtracting the left term 5y² either adding 6y²or subtracting 6y²
should make the term perfect square
while subtracting it makes perfect square
so
we take
(y²)²+3²=(y²+3)²-6y²
again
substituting value of
(y²)²+3² in equation 1 and it becomes
(y²+3)²-6y²+5y²
solve like terms
(y²+3)²-y²
again
we have
a²-b²=(a+b)(a-b)
by using this.
(y²+3+y)(y²+3-y)
rearrange it
(y²+y+3)(y²-y+3) is a required factorisation form.
In the simple linear regression model, the y-intercept represents the: a. change in y per unit change in x. b. change in x per unit change in y. value of y when x value ofx when y 0 n the simple linear regression model, the slope represents the a. value of y when x - (0 b. average change in y per unit change in x. c. value of x when v -0 d. average change in x per unit change in y. 8. In regression analysis, the residuals represent the: a. difference between the actual y values and their predicted values. b. difference between the actual x values and their predicted values. c. square root of the slope of the regression line. d. change in y per unit change in x.
The correct answer for the third question is a. The residuals represent the difference between the actual y values and their predicted values.
a. The y-intercept in the simple linear regression model represents the value of y when x is zero. It is the point on the y-axis where the regression line intersects.
b. The slope in the simple linear regression model represents the average change in y per unit change in x. It indicates how much y changes on average for every one-unit increase in x.
Therefore, the correct answer for the first question is c. The y-intercept represents the value of y when x is zero.
For the second question, the correct answer is b. The slope represents the average change in y per unit change in x.
In regression analysis, the residuals represent the difference between the actual y values and their predicted values. They measure the deviation of each data point from the regression line. The residuals are calculated as the observed y value minus the predicted y value for each corresponding x value. They provide information about the accuracy of the regression model in predicting the dependent variable.Therefore, the correct answer for the third question is a. The residuals represent the difference between the actual y values and their predicted values.
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Acellus
Find d. Give your answer in
the simplest form.
d = [?]
7/2
d
a
45°
30
b
С
Enter the number that belongs in
the green box.
Enter
Copyright © 2003 - 2021 Acellus Corporation. All Rights Reserved.
Answer:
d = 14
Step-by-step explanation:
\( \sin \: 45 \degree = \frac{a}{7 \sqrt{2} } \\ \\a = 7 \sqrt{2} \sin \: 45 \degree \\ \\ a = 7\sqrt{2} \times \frac{1}{ \sqrt{2} } \\ \\ a = 7 \\ \\ \sin \: 30 \degree = \frac{a}{d} \\ \\ \frac{1}{2} = \frac{7}{d} \\ \\ d = 2 \times 7 \\ \\ d = 14\)
Answer:14
Step-by-step explanation:opposite angle
Four times a number is greater than -48. Define a variable, write an inequality, and solve the problem.
Answer:
n is greater than negative 12
Step-by-step explanation:
I put the answer on the attached please see it
researchers must use experiments to determine whether relationships exist between variables. (T/F)
Researchers must use experiments to determine whether causal relationships exist between variables.
Researchers use experiments to determine causative relationships between variables. A causative relationship exists when a change in one variable (the cause) leads to a change in another variable (the effect).
Experiments allow researchers to manipulate the cause and observe the effect while controlling for other factors that could influence the relationship.
For example, if a researcher is interested in examining the relationship between smoking and lung cancer, they would conduct an experiment where they randomly assign participants to either a smoking or a non-smoking group.
The researcher would then collect data on the incidence of lung cancer in each group while controlling for other factors that might influence the relationship, such as age, gender, and socioeconomic status.
By randomly assigning participants to the smoking and non-smoking groups, the researcher can be confident that any differences in lung cancer incidence are due to the effect of smoking and not due to differences in the participants.
This type of experiment is called a randomized controlled trial and is considered the gold standard for determining causative relationships.
Experiments are essential in determining causative relationships between variables because they help to establish a cause-and-effect relationship and avoid confounding (when the relationship between two variables is observed because of a third variable that affects both).
In addition, experiments can also provide information about the direction and strength of the relationship between variables.
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--The given question is incorrect; the correct question is
"Researchers must use experiments to determine whether ______ relationships exist between variables."--
Jeff's sister drives 14 miles to her collage his brother only drives 5/7/10 miles to his collage how much farther does Jeff's sister drive than his brother
Answer:
8.3miles
Step-by-step explanation:
Here Jeff's sister drives 14 miles
his brother only drives 57/10 miles then the question is only asking the difference between their distance of driving to school knowing fully well that Jeff's sister drive farther than his brother, then we find the difference between their drives which is done bow
14miles -57/10 miles
= 83/10
= 8.3miles
Therefore, Jeff's sister drive 8.3miles farther than his brother
Can anybody help me with this question?
Answer:
A
Step-by-step explanation:
Because when you multiply anything with exponents, you multiply the coefficient and add the exponents.
how do i answer these
Answer:
Step-by-step explanation:
y = x² + 2x - 3
a = 1 ; b = 2 ; c = -3
Axis of symmetry x = -b/2a
\(=\dfrac{-2}{2*1}= -1\)
Axis of symmetry : x = -1
Vertex:
f(-1) = (-1)² + 2*(-1) - 3 = 1 -2- 3
= -4
Vertex(-1 , -4)
Domain: all real numbers;
Range: all real numbers greater than -4
-4≥ y ≤∞
a> 0, Parabola open upwards
y -intercept:
At y-intercept x = 0
f(0) = 0 + 0 - 3 = -3
Y-intercept= -3
x-intercept:
At x-intercept y = 0
x² + 2x -3 = 0
x² + 3x - x - 3 =0
x(x + 3) -(x +3)=0
(x +3)(x -1) =0
x +3 = 0 ; x - 1 = 0
x = -3 ;x = 1
X-intercept: (-3,0) & (1 , 0)
In a smoothie the ratio of ounces of blueberries to ounces of yogurt is 4 to 5.
How many ounces of yogurt would be needed for a smoothie with 10 ounces of blueberries?
A
8 ounces
B
12 ounces
C
12.5 ounces
D
20 ounces
Answer:
12.5
Step-by-step explanation:
for people who don't get another quizzez assignment about ratios from their teachers, this question showed & the correct answer was 12.5 Hope this answer somehow helps.
Ounces of yogurt need for 10 ounces of blueberries is 8 ounce
Given that;Ratio of ounces of blueberries to ounces of yogurt = 4:5
Find:Ounces of yogurt need for 10 ounces of blueberries
Computation:Ounces of yogurt need for 10 ounces of blueberries = 10[4 / 5]
Ounces of yogurt need for 10 ounces of blueberries = 2[4]
Ounces of yogurt need for 10 ounces of blueberries = 8 ounce
So, Option "A" is the correct answer to the following question.
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