Step-by-step explanation:
78+x=180 and x=102
50+52+x=180
102+x=180
x=180-102
x=78
URGENT
You have 8 cups of flour. It takes 1 cup of flour to make 24 cookies. The function C(f) = 24f represents the number of cookies, C, that can be made with f cups of flour. Which set of ordered pairs represent points on the graph of C(f) = 24f?
Answer:
{(12. 12), (1, 24), (2, 48)}
Step-by-step explanation:
I got it right
8 This year, John played in 10 baseball games. In
these games he had hit the ball 2, 3, 0, 1, 3, 2, 4, 0,
2, and 3 times. In the first 10 games he plays next
year, John wants to increase his average (mean) hits
per game by 0.5. What is the total number of hits
John needs over the first 10 games next year to
achieve his goal?
1) 5
2) 2
3) 20
4) 25
The total number of hits John needs over the first 10 games next year to
achieve his goal is 25.
The correct answer is option 4.
To find the total number of hits John needs over the first 10 games next year to achieve his goal, we first need to calculate his current average hits per game.
The total number of hits John made in the 10 games this year is: 2 + 3 + 0 + 1 + 3 + 2 + 4 + 0 + 2 + 3 = 20.
To find the average hits per game, we divide the total number of hits (20) by the number of games (10): 20 / 10 = 2.
Since John wants to increase his average hits per game by 0.5, his target average for the next 10 games will be 2 + 0.5 = 2.5 hits per game.
To calculate the total number of hits John needs over the next 10 games, we multiply the target average by the number of games: 2.5 hits/game * 10 games = 25 hits.
Therefore, the correct answer is option 4) 25. John needs a total of 25 hits over the first 10 games next year to achieve his goal of increasing his average hits per game by 0.5.
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The average of 3 different positive integers a, b and c is 50. If a < b < c and b=30, what is the least possible value of c?
Answer:
61
Step-by-step explanation:
If the average of 3 different positive integers, a, b and c, is 50 then:
\(\implies \dfrac{a+b+c}{3}=50\)
If b = 30:
\(\implies \dfrac{a+30+c}{3}=50\)
\(\implies a+30+c=150\)
\(\implies a+c=120\)
If a < b < c then the least possible value of c is one more than the average of a + c.
Average of a + c:
\(\implies \dfrac{a+c}{2}=\dfrac{120}{2}\)
\(\implies \dfrac{a+c}{2}=60\)
So the least possible value of c is 60 + 1 = 61.
please, someone help me
Answer:
the equation of the parabola in vertex form is y=3(x+2\()^{2}\)-4
Step-by-step explanation:
can someone please help me solve this
Answer:
d
Step-by-step explanation:
A segment joining the midpoints of a triangle is
• Parallel to the third side
• Half the length of the third side
The segment DF joins the midpoints of 2 sides of Δ ABC , then
BC = 2 × DF = 2 × 4 = 8
Ruth wants to buy a skateboard for $56. She has $90 in her account. She spent $11.65 to buy stationary. She also wants to buy some comic books for $3.72 each. What is the maximum number of comic books, n, that Ruth can buy so that she has enough money left to buy the skateboard? n ≥ 6 n ≤ 6 n ≤ 16 n ≥ 16
Answer:
6
Step-by-step explanation:
first we do 90-11.65=78.35
then we need to find out how much money she can spend
so you do 78.35-56=22.35
so she can spend a total of 22.35 on her comic books
now you need to find out how much books she can buy with the 22.35 that she has
so the equation would be 22.35÷3.72=6
she can buy 6 comics total
Answer:
A.) n >- 6
Step-by-step explanation:
im doin tha test but im 90% sure dat is A
PLS CHECK
you and 9 friends are playing a game of basketball. after the game is overall, everyone shakes hands. how many distinct handshakes took place if every player shook hands with everyone who played?
45 Distinct handshakes took place when every player shook hands with everyone who played.
To find out how many distinct handshakes took place if every player shook hands with everyone who played, we will
use the concept of combinations.
Identify the number of players involved, which is 10 (you plus 9 friends).
Use the formula for combinations: C(n, k) = n! / [k! × (n-k)!],
where n is the total number of players and k is the number of players in each handshake (which is 2).
Plug in the values: C(10, 2) = 10! / [2! × (10-2)!].
Calculate the factorial values: 10! = 3,628,800, 2! = 2, and 8! = 40,320.
Plug in the factorial values and calculate: C(10, 2) = 3,628,800 / (2 × 40,320) = 3,628,800 / 80,640 = 45.
So, 45 distinct handshakes took place when every player shook hands with everyone who played.
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1. Write an equation (y = a/x) that shows this relationship. Use y as your number of tacos and x as the price 2. How many tacos would you buy if they were $2.40 each ? 3. What would the price of a taco be if you bought 16 tacos? Your answer
Answer:
The equation that shows the relationship between the number of tacos (y) and the price (x) is: y = a/x If we use y as the number of tacos and x as the price of one taco, we can substitute the given values to find a. Let's assume that you would buy 5 tacos when the price is $1.20 each. Then we have: 5 = a/(1.20) Multiplying both sides by 1.20, we get: a = 6 So the equation becomes: y = 6/x Now we can answer the other questions: 2. If the price of a taco is $2.40 each, we can substitute x = 2.40 into the equation to find y: y = 6/2.40 = 2.5 So you would buy 2.5 tacos, whichWrite the equation of a line in standard form that passes through (-2, 5) and is perpendicular to
the line x – 2y = 8.
Answer:
Step-by-step explanation:
x - 2y = 8
Write this in y = mx +b form
- 2y = -x + 8
Divide the equation by (-2)
\(\dfrac{-2y}{-2}=\dfrac{-x}{-2}+\dfrac{8}{-2}\\\\\\y =\dfrac{1}{2}x-4\)
Slope = 1/2
The slope of the perpendicular line = -1/m
\(=\dfrac{-1}{\dfrac{1}{2}}=1*\dfrac{-2}{1} = -2\)
m = -2 , ( -2 , 5)
Equation: y = mx +b
Plug in m = -2 ,x = -2 and y =5
5 = (-2)*(-2) + b
5 = 4 + b
5 - 4 = b
b = 1
Equation of the line:
y = mx +b
y = -2x + 1
Solve the equation:
-7(-3n+3) = -21 +21n
Answer:
0=0
yeah i dont know how i got it, but yeah
A square has side lengths as shown in the picture and a perimeter of 54.8 centimeters. Write an equation to find the value of x
The value of x is 10.7 cm and an equation that finds the value of x is 4(x + 3) = 54.8. By using the perimeter of a square, the required equation is evaluated.
How to find the perimeter of a square?A square has 4 sides with equal lengths. We know that the perimeter is the total circumference of the shape. So, if the length of the square is 'a' then its perimeter is 4a.
Calculation:It is given that, the length of the square a = x + 3 cm
The perimeter of the square 4a = 54.8 cm
Thus, on substituting the 'a' value into the perimeter, we get
4(x + 3) = 54.8
This is the required equation that finds the value of 'x'.
and on simplifying the obtained equation, we get
4x + 12 = 54.8
⇒ 4x = 54.8 - 12 = 42.8
∴ x = 42.8/4 = 10.7 cm
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A family buys 4 airline tickets online. The family buys travel insurance that costs $19 per ticket. The total cost is $724. Let x represent the price of one ticket. Write an equation for the total cost. Then find the price of one ticket.
Answer:
total cost equation = ( 9+x) times 4 = 724. Total,price of a ticket is 162$
Step-by-step explanation:
Since insurance for each ticket costs 19$ and the family bought four and the ticket itself costs x, the costs of the four tickets is (19+x) times 4. If thr total cost is 724 then we can take 19 times4 and subtract that from it because 19times 4 + x times 4 is the same as (19+x) times 4. From this we fet 648. Now we have x4 or x times 4 = 648 leftover, so divided 648 by 4 to get one x out of it since it is made up of four x. You get 162 from this, so the price of a ticket without insurance is 162$
Steve prepreformed the chemistry experiment in which divided 5/8 of a box of baking soda evenly among the five bottles he then added vinegar and water teach volatile to make them bubble up like volcanoes how much baking soda do you put in each bottle
Answer:
\(\mathbf{ \dfrac{1}{8} \ box}\)
Step-by-step explanation:
Given that:
Steve divided 5/8 of a box evenly among 5 bottles. To determine the amount of baking soda added;
Then, mathematically:
\(=\dfrac{5}{8} \ box \div 5\)
\(= \dfrac{5}{8} \ box \times \dfrac{1}{5}\)
\(\mathbf{= \dfrac{1}{8} \ box}\)
can someone help. I'm gonna cry lolz. thank you.
Answer:
i think the 3rd one i have not done that in a while
Step-by-step explanation:
sorry if its not right
Write the equation in standard form for the conic section described below.
The sum of the distance of any point (x,y) in this conic to the two focuses F1=(-3,0) and F2=(3,0) is constant and equal to 10
Answer:
\(16x^2+25y^2-400=0\)
Step-by-step explanation:
Given:
The sum of the distance of any point (x, y) in this conic to the two focuses F₁=(-3,0) and F₂=(3, 0) is constant and equal to 10.There are 4 types of conic sections:
Circles (one focus).Parabolas (one focus).Ellipses (two foci).Hyperbolas (two foci).The definition of an ellipse is:
The set of points in a plane such that the sum of the distance from a point to each focus is constant.Therefore, the given definition is one for an ellipse.
\(\boxed{\begin{minipage}{7.4 cm}\underline{General equation of an ellipse}\\\\$\dfrac{(x-h)^2}{a^2}+\dfrac{(y-k)^2}{b^2}=1$\\\\where:\\\phantom{ww}$\bullet$ $(h,k)$ is the center. \\ \phantom{ww}$\bullet$ $(h\pm a,k)$ or $(h,k\pm b)$ are the vertices. \\ \phantom{ww}$\bullet$ $(h\pm c,k)$ or $(h,k\pm c)$ where $c^2=a^2-b^2$.\\\end{minipage}}\)
As the given foci are (-3, 0) and (3, 0), they are on the x-axis. Therefore:
h = 0k = 0c = 3Therefore, the major axis is on the x-axis and the vertices are (h±a, k) and the co-vertices are (h, k±b).
The constant is the major axis which is 2a. Given the constant is 10:
\(\implies 2a=10\)
\(\implies a=5\)
Since c² = a² - b²:
\(\implies 3^2=5^2-b^2\)
\(\implies b^2=5^2-3^2\)
\(\implies b^2=25-9\)
\(\implies b^2=16\)
Therefore, the equation for the conic section (ellipse) is:
\(\implies \dfrac{(x-0)^2}{5^2}+\dfrac{(y-0)^2}{16}=1\)
\(\implies \dfrac{x^2}{25}+\dfrac{y^2}{16}=1\)
In standard form:
\(\implies 25 \cdot \dfrac{x^2}{25}+25 \cdot \dfrac{y^2}{16}=25 \cdot 1\)
\(\implies x^2+\dfrac{25}{16}y^2=25\)
\(\implies 16 \cdot x^2+16 \cdot \dfrac{25}{16}y^2=16 \cdot 25\)
\(\implies 16x^2+25y^2=400\)
\(\implies 16x^2+25y^2-400=400-400\)
\(\implies 16x^2+25y^2-400=0\)
can y'all help me please
Answer:
options 1 & 4
Step-by-step explanation:
The difference of 5 and 3:
5-3
One fourth of this difference:
(1/4) × (5-3)
Hope this helps
calculate 7^10 mod 11=
calculate (14 * 161 - 7 ) mod 5 =
with clear steps
Answer: The Final results:- 7^10 mod 11 = 1
- (14 * 161 - 7) mod 5 = 2
Step-by-step explanation:
Let's calculate the given expressions step by step:
1. Calculate 7^10 mod 11:
To calculate this, we can use the property of modular exponentiation. We'll perform the exponentiation and then take the modulus.
Step 1: Compute 7^10:
7^10 = 282,475,249
Step 2: Take the modulus:
282,475,249 mod 11 = 1
Therefore, 7^10 mod 11 is equal to 1.
2. Calculate (14 * 161 - 7) mod 5:
Here, we'll first perform the multiplication and subtraction, and then take the modulus.
Compute 14 * 161:
14 * 161 = 2,254
Subtract 7:
2,254 - 7 = 2,247
Take the modulus:
2,247 mod 5 = 2
Therefore, (14 * 161 - 7) mod 5 is equal to 2.
Final results:
- 7^10 mod 11 = 1
- (14 * 161 - 7) mod 5 = 2
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Felipe swam 29 kilometers to an island. Then he swam 19 kilometers to a boat. How far did he swim in all?
48 kilometers
29 + 19 = 48
hope this is helpful!
Find the value of x that give the critical point of y=ax^2 bx c, where a, b, and c are constant. under what conditions on a, b, and c is the critical
The value of x that gives the critical point of the quadratic function y = ax^2 + bx + c is x = -b/(2a). The condition for the critical point to correspond to a minimum or maximum is that the leading coefficient 'a' must be non-zero, i.e., a ≠ 0.
To find the critical point of the quadratic function y = ax^2 + bx + c, we need to determine the value of x that results in a horizontal tangent line, or in other words, the vertex of the parabola.
The critical point occurs when the derivative of the function is equal to zero. Taking the derivative of y = ax^2 + bx + c with respect to x, we get:
dy/dx = 2ax + b
Setting this derivative equal to zero:
2ax + b = 0
Solving for x:
x = -b/(2a)
The critical point is thus given by x = -b/(2a).
As for the conditions on a, b, and c, the critical point exists for any values of a, b, and c. However, to ensure that the critical point corresponds to a minimum or maximum, rather than a point of inflection, the leading coefficient 'a' must be non-zero.
In other words, a ≠ 0. This condition ensures that the parabola opens upward or downward, allowing for a minimum or maximum value.
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consider the function f(x)=x−2x 1. (a) find the domain of f(x).
The domain of the function f(x) = x² - 2x + 1 is all real numbers, which is denoted as (-∞, +∞).
To find the domain of the function f(x) = x² - 2x + 1, we determine the set of all possible values for x that make the function well-defined.
The given function is a polynomial-function, and polynomial functions are defined for all real numbers. So, the domain of f(x) = x² - 2x + 1 is the set of all real numbers, which can be represented as (-∞, +∞).
It means that any real-number can be substituted into the function, and it will give a valid output. There are no limitations on the possible values of x in this case.
Therefore, the domain is all real numbers.
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The given question is incomplete, the complete question is
Find the domain of the function f(x) = x² - 2x + 1.
the company shows that its median listing is $150,000. if the range of the listings is $50,000, is it possible for the company to have a house listed for $200,000?
Answer:
no
Step-by-step explanation:
what is the slope intercept form simplified to this? pleaseee
=========================================================
Explanation:
As you probably can guess (or already know), the term "slope intercept form" means that all we need are the slope and y intercept to get the equation.
To get the slope, we need two points. Pick any two points you want. I'll pick (3,-7) and (6,-9). Notice how we go down 2 units and then over to the right 3 units when we move from the first point to the second point.
See diagram below.
So the slope is rise/run = -2/3. The negative rise indicates we go down. The run is always moving to the right. This produces the downhill trend when we move from left to right.
--------------------
We can also use the slope formula. I'll use those two points mentioned earlier.
m = (y2-y1)/(x2-x1)
m = (-9-(-7))/(6-3)
m = (-9+7)/(6-3)
m = -2/3
We get the same result as earlier
--------------------
The y intercept is where the graph crosses the vertical y axis. This is at 5. So b = 5 is the y intercept.
Since the slope is m = -2/3 and the y intercept is b = 5, we go from y = mx+b to y = (-2/3)x-5 which is our final answer.
i need help can anyone help???
Answer:
x=75.4
360-(13.2*2)=333.6
333.6=(8+4)4
333.6=32+4x
301.6=4x
***x=75.4***
3. The functions f and g are defined by
\( f(x) = \frac{8}{x - 2} + 2 \: for \: x > 2\)
\(g(x) = \frac{8}{x - 2} + 2 \: for \: 2 < x < 4\)
(a)(i) State the range of the function f.
(ii) State the range of the function g.
(iii) State the range of the function fg.
(b) Explain why the function gf cannot be formed.
Can someone help me with this and show work pleaseee!!!
Answer:
10 units and 157.84 units
Step-by-step explanation:
4
substitute t = 1 into the equation
h = - 16(1)² + 6 = - 16 + 6 = - 10
the value is negative since the ball travels down
the ball has travelled 10 units after 1 second
5
substitute t = 3.2 into the equation
h = - 16(3.2)² + 6 = - 16(10.24) + 6 = - 163.84 + 6 = - 157.84
the well is 157.84 units deep
More companies are posting job advertisements on industry specific sites, because the applicants are usually more qualified. Please select the best answer from the choices provided T F
Answer:
True
Step-by-step explanation:
Answer:
true
Step-by-step explanation:
just took the test
Let F=32x3+yi+2(cosz+3y3)j+32z3k be the vector field. Use the Divergence Theorem to find the flux across S, where S is the surface of the solid bounded by the hemisphere z=−4−x2−y2 and the plane z=0.
The flux of F across S is equal to 2304/5π.
Given vector field is F= 32x3 + yi + 2 (cosz + 3y3) j + 32z3k.
The surface S is the one which is bounded by the hemisphere z = - 4 - x2 - y2
and the plane z = 0.
This is a closed surface enclosing a region R which is the upper part of the solid sphere x2 + y2 + z2 = 16.
The divergence theorem states that the flux of the vector field across a closed surface is equal to the triple integral of the divergence of the vector field over the region it encloses. Hence, the flux can be calculated as follows:
S F . n d S = R (del. F) d V where n is the outward pointing unit normal vector on the surface S.
The divergence of F is given by del.
F = 96x2 + 3 + 2 (-sinz) + 96z2
Therefore, R (del . F) d
V = ∫0π/2∫0π/2∫04- r
2sinΦ (96r2cos2Θ + 96r
2sin2Φ + 3) + 2(-sin(4 + r2)) drdΘdΦ
where R is the region enclosed by the surface S.
So, we have the following equation after integrating it: R (del . F) dV = 2304/5π.
The flux of F across S is equal to 2304/5π.
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what is the area of 10in circle
Answer:
Step-by-step explanation:
going by the assumption tha the radius is 10inches.
area would be pi r^2
which would be pi(10)^2 = 100pi =314.16 (rounded)
an official from the ohio department of education claims that, in recent years, 3% of ohio high school seniors drop out. last year, podunk high school had 30 dropouts from their total enrollment of 600 students. is there sufficient evidence to conclude that the dropout rate at this school is different from the state level?
The alternative and hull hypotheses is H₀: P=0.03, H₁: P≠0.03.
Given that,
According to a representative of the Ohio Department of Education, 3% of graduating high school seniors in Ohio have dropped out in recent years. Out of the 600 pupils enrolled, 30 students from Podunk High School dropped out of school last year.
We have to find is there enough data to say that this school's dropout rate is higher than the state average. Using symbols and words, state the alternative and hull hypotheses.
We know that,
n is 600,
3% Ohio high school seniors dropout.
30 dropout out of 600 in Podunk high school.
Here,
H₀: μ₁=μ₂ vs H₁:μ₁≠μ₂
In coordinates,
H₀⇒ dropout number is equal for both schools.
H₁⇒ dropout number not equal for both schools.
H₀: P=0.03, H₁: P≠0.03.
Therefore, The alternative and hull hypotheses is H₀: P=0.03, H₁: P≠0.03.
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Use the following graph of the function f(x) = 3x4 − x3 + 3x2 + x − 3 to answer this question:
graph of 3 x to the fourth, minus x cubed, plus 3 x squared, plus x minus 3
What is the average rate of change from x = 0 to x = 1?