Answer:
the number of drinks purchased
Step-by-step explanation:
Answer:
2, the number of drinks purchased.
Step-by-step explanation:
one drink costs $3, and since Sarah is going to the food truck with her friends, she needs to buy more than one drink. So, it would be 3 · y, y being the number of drinks she needs to buy.
if 26 children were to be born in a hospital on a given day, how many combinations of 6 boys and 20 girls would exist? 230,230 4 x 10^26 500,000 15 Z
The number of combinations of 6 boys and 20 girls that can exist among 26 children born in a hospital on a given day is 230,230.
]To calculate the number of combinations, we can use the concept of binomial coefficients. The formula for calculating the number of combinations is C(n, k) = n! / (k!(n-k)!), where n is the total number of objects and k is the number of objects we want to select.
In this case, we have 26 children in total, and we want to select 6 boys and 20 girls. Plugging these values into the formula, we get C(26, 6) = 26! / (6!(26-6)!) = 230,230. Therefore, there are 230,230 different combinations of 6 boys and 20 girls that can exist among the 26 children born in the hospital on that given day.
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A direct variation includes the points (3, -18) and (-2, n). Find n. Write and solve a direct variation equation to find the answer.
n =
Using Direct Variation, the value of n = 26
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
We need to Write y = kx based on the conditions stated.
Replace with: -18 = k x 3
Turn the sides around: k × 3 = -18
Now Subtract the coefficient of the variable from both sides of the equation:
k = 26 compute the product or quotient.
Write the function's equation as;
y = 26x
Replace with:
n = 26 × 4
n = 104; compute the product or quotient.
Response: n = 26
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9.375, 9.75, 9.125 or 9.5 can you help me list each one from greatest to least
greatest to least:
9.75, 9.5, 9.375, 9.125
Choose the system of equations which matches the following graph.
A. 3x-6y=12
9x-18y=36
B. 3x+6y=12
9x+18y=36
The system of equations that matches the given graph is:
A. 3x - 6y = 12
9x - 18y = 36
To determine which system of equations matches a given graph, we need to analyze the slope and intercepts of the lines in the graph.
Looking at the options provided:
A. 3x - 6y = 12
9x - 18y = 36
B. 3x + 6y = 12
9x + 18y = 36
Let's analyze the equations in each option:
For option A:
The first equation, 3x - 6y = 12, can be rearranged to slope-intercept form: y = (1/2)x - 2.
The second equation, 9x - 18y = 36, can be simplified to 3x - 6y = 12, which is the same as the first equation.
In option A, both equations represent the same line, as they are equivalent. Therefore, option A does not match the given graph.
For option B:
The first equation, 3x + 6y = 12, can be rearranged to slope-intercept form: y = (-1/2)x + 2.
The second equation, 9x + 18y = 36, can be simplified to 3x + 6y = 12, which is the same as the first equation.
In option B, both equations also represent the same line, as they are equivalent. Therefore, option B does not match the given graph.
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what value of x makes 1/2 (3x+ 4) = 1/2 x true
The value of x which makes the given expression 1/2(3x+4) = 1/2x true is -2
We have to simplify the given expression to find the value of x
1/2(3x + 4) = 1/2x
Cancel 1/2 from both sides
⇒ 3x + 4 = x
⇒ 2x = -4
⇒ x = -2
Hence, the value of x is -2 which makes the given expression true.
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PLEASE ANSWER THIS QUESTION I ONLY HAVE 30 MINUTES!!!! I WILL GIVE YOU BRAINLIEST!!!! Broccoli costs 3.14 a pound at the market. Aunt Jaime bought 2.5 pounds. what is the cost? PLS ANSWER I NEED TO MAKE MY SISTER BREAKFIST!!!!
Answer:
The final cost is 7.85
Step-by-step explanation:
Take 3.14 and multiply it by 2.5
suppose . (a) find a vector parametric equation for the parabola from the origin to the point using as a parameter. (b) find the line integral of along the parabola from the origin to .
Step-by-step explanation:
To find the vector parametric equation for the parabola from the origin to a point P, we need to express the position vector of P as a function of a parameter. Let's assume the coordinates of P are (x, y).
(a) Vector Parametric Equation for the Parabola: We can represent the position vector of P as a linear combination of two vectors. The first vector will point from the origin to P, and the second vector will be perpendicular to it.
Let's consider the vector from the origin to P as OP. Since P lies on the parabola, the magnitude of OP is given by the equation y = x^2. Therefore, the magnitude of OP is √(x^2 + (x^2)^2) = √(x^2 + x^4).
The unit vector in the direction of OP can be found by dividing OP by its magnitude: u = OP / √(x^2 + x^4).
To find a perpendicular vector, we can take the cross product of u with the vector (0, 0, 1) (which is perpendicular to the xy-plane). This will give us a vector perpendicular to the plane containing the parabola.
Let's call the perpendicular vector v. The cross product of u and (0, 0, 1) is given by: v = u × (0, 0, 1).
Finally, the vector parametric equation for the parabola from the origin to P is given by: r(t) = tu + tv, where t is the parameter ranging from 0 to 1.
(b) Line Integral along the Parabola: To find the line integral of a vector field F along the parabola from the origin to P, we need to evaluate the line integral: ∫(F · dr) from 0 to 1, where F is the vector field, dr is the differential vector along the parabola, and the integral is taken with respect to t.
The line integral can be calculated as follows: ∫(F · dr) = ∫(F · (du/dt) dt), where du/dt is the derivative of the unit vector u with respect to t.
Substituting r(t) = tu + tv into the above expression, we can find the line integral.
Please provide the vector field F so that I can assist you further in evaluating the line integral.
What is (2)(-3)(-4)
Answer:
No, No, Yes, Yes.
Step-by-step explanation: 2 times -3 = -6. -6 times -4 = 24.
So, with that said, the first one multiples out to -24.
The second multiplies out to again -24.
12 times 2 = 24.
A negative and a negative multiply to become a positive, so -4 times -6 = 24.
Answer:
24 i belive
so you should choose
Step-by-step explanation:
(6) (-4) = no
(-3) (8) =no
(12) (2) =yes
(-4) (-6)= yes
A2 Shape C is similar to shape D
9 cm
C
x cm
9.6 cm
Work out the value of x.
D
6 cm
T
10
Answer:
If Shape C is similar to Shape D, then we know that the ratio of corresponding side lengths is the same. In this case, we can set up the following proportion:
9 / 6 = x / 10
To solve for x, we can cross-multiply and simplify:
9 * 10 = 6 * x
90 = 6x
x = 15
Therefore, the value of x is 15 cm.
Answer:
The answer for x is approximately 5.6
Step-by-step explanation:
9/9.6=x/6
cross multiply
9.6x=9×6
9.6x=54
divide both sides by 9.6
9.6x/9.6=54/9.6
x=5.625
x≈5.6
solve for h V=2πr^2h
Answer: h= V/2πr^2
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
can someone please answer this fast!!
9. The distance from Pablo's house to a mall is 1 more mile than 5 times the distance from his house to his school.
The distance from Pablo's house to the mall is 16 miles.
Write and solve an equation to find the distance d from Pablo's house to his school.
The equation will be 5d + 1 = 16 and the distance from Pablo's house to school will be d = 3 miles.
It is given that distance from Pablo's house to mall is 1 more than 5 times the distance from his house to his school. Also , the distance from Pablo's house to the mall is 16 miles.
We have to find out an equation and distance d from Pablo's house to his school.
What will be the expression for 2 times of a number x added with 2 ?
The expression will be 2x+2.
Let's assume the distance from Pablo's house to his school is d miles.
The distance from Pablo's house to the mall will be ;
= 5d + 1
This distance will be equal to 16 miles as given in the question.
∴ The equation will be ;
5d + 1 = 16
Now to find the distance from Pablo's house to his school, we have to solve this equation. The distance will be
5 × d = 15
or
d = 3 miles
Thus, the equation will be 5d + 1 =16 and the distance from Pablo's house to school will be d = 3 miles.
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A truck's distance from a warehouse, d, (measured in miles) is modeled by the formula d=t^2+70t where t represents the number of hours since the truck left the warehouse. The truck's destination is 437.75 miles away. a. How many hours will it take the truck to reach its destination? (You may need to use your graphing calculator to answer this question). hours b. A car left the warehouse at the same time as the truck and its driver plans to arrive at the destination (by driving the same route as the truck) at the same time as the truck. What constant speed should the car travel to reach the destination at the same time as the truck? miles per hour
a) Time cannot be negative, we discard the negative value and conclude that it will take approximately 14.09 hours for the truck to reach its destination.
b) The car should travel at a constant speed of approximately 31.06 miles per hour to reach the destination at the same time as the truck.
a. To find the number of hours it will take the truck to reach its destination, we need to set up the equation d = 437.75 and solve for t.
The equation representing the truck's distance from the warehouse is given as d = t^2 + 70t. By substituting 437.75 for d, we have:
437.75 = t^2 + 70t
To solve this equation, we can rearrange it into a quadratic equation:
t^2 + 70t - 437.75 = 0
Using a graphing calculator or factoring, we find that the equation can be factored as (t + 35)(t + 35) - 437.75 = 0. Simplifying this equation gives us:
(t + 35)^2 - 437.75 = 0
Next, we can solve for t by taking the square root of both sides of the equation:
t + 35 = ±√437.75
t + 35 = ±20.91
Solving for t gives us two possible solutions:
t = -35 + 20.91 = -14.09
t = -35 - 20.91 = -55.91
Since time cannot be negative, we discard the negative value and conclude that it will take approximately 14.09 hours for the truck to reach its destination.
b. To find the constant speed at which the car should travel to reach the destination at the same time as the truck, we need to determine the time it takes for the truck to reach the destination and the distance between the warehouse and the destination.
We already know that it takes approximately 14.09 hours for the truck to reach the destination. The distance between the warehouse and the destination is given as 437.75 miles.
Using the formula speed = distance / time, we can calculate the constant speed the car should travel:
speed = 437.75 miles / 14.09 hours
Calculating this gives us:
speed ≈ 31.06 miles per hour
Therefore, the car should travel at a constant speed of approximately 31.06 miles per hour to reach the destination at the same time as the truck.
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Please help me!! I will mark brainliest! Explain!!!
Answer:
\(ratio \: = 3 \: to \: 5 \\ thus \: if \: 3 = 15 \\ then \: 5 = \frac{15 \times 5}{3} = 25\)
The vector x is in a subspace H with a basis B = {b1,b2}. Find the B-coordinate vector of x.
b1 = [\begin{array}{c}1\\4\\-3\end{array}\right]
b2 = [\begin{array}{c}-3\\-11\\8\end{array}\right]
b3 = [\begin{array}{c}-5\\-17\\12\end{array}\right]
[x]_B =[\begin{array}{c} \\ \end{array}\right]
The B-coordinate vector of x is then: [x]_B = [\begin{array}{c} c1 \\ c2 \end{array}\right]
To find the B-coordinate vector of x, we need to express x as a linear combination of the basis vectors b1 and b2. Since x is in the subspace H with a basis B = {b1, b2}, we know that any vector in H can be expressed as a linear combination of b1 and b2. So we have:
x = c1*b1 + c2*b2
where c1 and c2 are scalars. To find the B-coordinate vector of x, we need to solve for c1 and c2. We can do this by setting up a system of equations:
1*c1 - 3*c2 = x1
4*c1 - 11*c2 = x2
-3*c1 + 8*c2 = x3
where x1, x2, and x3 are the components of x. This system can be written in matrix form as:
[\begin{array}{cc} 1 & -3 \\ 4 & -11 \\ -3 & 8 \end{array}\right] [\begin{array}{c} c1 \\ c2 \end{array}\right] = [\begin{array}{c} x1 \\ x2 \\ x3 \end{array}\right]
We can solve for c1 and c2 using row reduction or matrix inversion. The B-coordinate vector of x is then:
[x]_B = [\begin{array}{c} c1 \\ c2 \end{array}\right]
Note that we only need two basis vectors to find the B-coordinate vector of x, since H is a two-dimensional subspace. The third basis vector b3 is not needed.
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C, D OR E PLEASE
help I will crown brainliest!!!!
Answer:
Step-by-step explanation:
c. y = (x^2 + 3)(x + 4)
y = x^3 + 4x^2 + 3x + 12
d. y = (x^2 + x) / √x
y = (x^2 + x) / x^1/2
y = x^2/ x^1/2 + x / x^1/2
y = x^(2 - 1/2) + x(1 - 1/2)
y = x^3/2 + x^1/2
or x = √(x^3) + √x
e. y = 5 /x^2
y = 5x^(-2)
Here is the histogram of a data distribution. All class widths are 1.
4
3-
2
1
What is the median of the distribution?
Answer: Option C, the median is 5.
Step-by-step explanation:
The median is the value that is just in the middle of our data set (the possible values in the histogram)
the set is S = {2, 3, 4, 5, 6, 7, 8, 9}
And if we take in account the number of times that each value is repeated, we get:
S = {2, 3, 3, 4, 4, 4, 4, 4, 5, 5, 5, 6, 6, 7, 7, 8, 9}
So we have 17 values, and the one exactly in the middle will be the median.
To find the point in the middle, we can use that we have 17 values, because 17 is odd, we can do
17 - 1 = 16
16/2 = 8.
17 - 8 = 9.
Then the 9nth point is our median:
the 9th point is a 5.
Then the correct option is C
a marketing analyst would like to know whether women are indifferent to the color of the car they purchase. he selected 4 colors: white, black, red and silver for a sample of 500 women and asked them what color they prefer. white 135 black 115 red 150 silver 100 test whether there is the proportions of color preference of cars by women are different. do women care about the color of their car? what is the decision at 5% significant level? group of answer choices no they do not care because we do not reject the null hypothesis. yes they care because we reject the null hypothesis. yes they care because we do not reject the null hypothesis. no they do not care because we reject the null hypothesis.
B) Yes they care because we reject the null hypothesis.
The marketing analyst performed a chi-square test in order to determine if there were differences in the preferences of car colors by women. The null hypothesis states that there is no difference in the proportions of car color preferences among women. By running the chi-square test with the given data, the analyst received a p-value of 0.000, which is less than 0.05, the significant level set at 5%.
This indicates that the differences in proportions of car color preference among women are statistically significant. Therefore, the null hypothesis is rejected and the conclusion is that women do care about the color of their cars.
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Can someone help me graph these? Right answers get brainliest!!
Answer:
Step-by-step explanation:
Into the value of a 1/2 + (-1/2)- (-4)
Answer: 4
1/2 + (-1/2)- (-4)
1/2 -1/2 +4
8/2
4
a proportional relationship can be shown in two different ways:
Beth had 1/4 box of candy. she ate 1/5 of the candy. If she decides to refill the box , what fraction of the box would need to be refilled ?
Hello I need help can someone explain?
Answer:
As x increase, y decreases.
The rate of change for y as a function of x is not constant, therefore the function is non-linear.
For all values of x, the function y > 0.
The y-intercept of the graph is the function value y = 8.
When x = 1, the function value y = 5.
What is the slope of the line below?
Answer:
-1/2 is the answer of this question
Find the value of x.
6x+3(-3x+4)=13
Answer
Well I’d distribute first
So if simplified you’d get
6x-9x+12=13
-3x+12=13
-3x=1
x= 1/-3
X is - 1/3
A case of tomato cans weighs 563 dekagrams. A case of soup cans weighs 458 dekagrams. How much do the two cases weigh together in decigrams? Use the metric table to help answer the question
The two cases weigh 102,100 decigrams together.
First, we need to convert dekagrams to decigrams, since the question asks for the weight in decigrams.
1 dekagram = 10 grams
1 gram = 10 decigrams
Therefore, 1 dekagram = 100 decigrams
Now, let's calculate the weight of the two cases in decigrams:
Weight of tomato cans case = 563 dekagrams x 100 decigrams/dekagram = 56,300 decigrams
Weight of soup cans case = 458 dekagrams x 100 decigrams/dekagram = 45,800 decigrams
The weight of the two cases together is the sum of the two weights:
Total weight = 56,300 decigrams + 45,800 decigrams = 102,100 decigrams
Therefore, the two cases together weigh 102,100 decigrams.
To solve this problem, we need to first convert the weight of the two cases from dekagrams to decigrams so we can add them together.
1 dekagram = 10 grams
1 gram = 10 decigrams
So,
563 dekagrams = 5630 grams
5630 grams = 56300 decigrams
and
458 dekagrams = 4580 grams
4580 grams = 45800 decigrams
Now we can add the weights of the two cases in decigrams:
56300 decigrams + 45800 decigrams = 102,100 decigrams
Therefore, the two cases weigh 102,100 decigrams together.
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Answer the following question
Step-by-step explanation:
the answer is 4.8 hope it helps
A screwdriver is a simple machine called a?
Answer:
Wheel & axle
Step-by-step explanation:
Answer: it is called a
wheel and axle
Step-by-step explanation:
sheeeeeeeeeeeeeeeeeeeeeeeeeeeesh
A football coach compared the yards per game of two of his running backs over the course of 10 games.
Based on the data represented in the box plots, which football player had greater success during the 10 games?
Nasir was more successful because he had the greatest number of yards in one game.
Aaron was more successful because he had a greater total spread.
Nasir was more successful because he had the greater measure of center.
Aaron was more successful because he had an outlier.
Answer: C. Nasir was more successful because he had the greater measure of center.
Step-by-step explanation: Just did the assignment in Edugenuity
Answer:
Nasir was more successful because he had the greater measure of center.
Step-by-step explanation:
A runner takes 6. 6 seconds to complete a sprint. If they run the sprint 8 times, how many total seconds would it take?
Answer:
52.8 seconds
multiply 6.6 times 8
Step-by-step explanation:
Find the slope of the line
Answer:
3/4
Step-by-step explanation: