I have two hours to get this done please help me I’ve been stuck on this problem
Answers
Answer:
The answers are all bolded below. If you can, please read the explanation so you can pass a test if asked.
Step-by-step explanation:
First, the quadratic equation we are starting with is -x^2 + 10x + 9.5
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For the first part, it's asking for how high it is when it starts, commonly, we use 0 as the start point so if we plug 0 into the quadratic equation, we have 9.5. The height is 9.5 feet at start.
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For the second part I'm assuming it's asking for either a minimum or a maximum and because the equation has a -x^2, that means the parabola has a maximum. You can tell by -x^2 being negative, if it was x^2 (positive) it would have a minimum.
The maximum is found using the vertex formula(because the vertex is the max or min), -b/2a, where a is -1, b is 10, and c is 9.5 found in the equation because the quadratic is in standard form ax^2 + bx + c. This gives a vertex of 5.
We plug 5 back in the equation to get (5, 34.5).
5 is the x-coordinate so it is 5 feet horizontally and 34.5 feet high
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For the last part it's asking for a root, or when the parabola touches the x axis/the ground.
-x^2 + 10x + 9.5
You would use the quadratic formula but I'm too lazy so I just put it into a calculator.
That gives roots of around x=−0.87367 and x=10.8737.
You can't have a negative root so you're left with x= 10.8737, rounding to the tenth decimal place, 10.9.
I think that's correct, could be wrong, if it is wrong just follow the steps and it should be fine.
Related Questions
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A football is punted from a height of 2.75 ft above the ground, with an initial velocity of 48 feet per
second. The motion of the football can be modeled by the equation h = -16t2 + 48t +2.75, where
h represents the height of the football, in feet, and t represents the timelin seconds.
If the football is caught 5.25 ft above the ground, approximately how long did it remain in the air?
Roundyour answer to the nearest hundredth of a second.
Answers
Answer:
Step-by-step explanation:
The position function for this is given as
[tex]h(t)=-16t^2+48t+2.75[/tex] where h(t) is the height of the football at any time t. If the ball is caught at 5.25 feet, that h(t) value is 5.25 since we are looking for the time the ball was in the air from its initial 2.75 feet to 5.25 feet, when it was caught.
[tex]5.25=-16t^2+48t+2.75[/tex] and set this equal to 0:
[tex]-16t^2+48t-2.5=0[/tex] and factor.
When we factor we get
t = .05 and t = 2.95 in seconds.
That first time tell us how long it takes to go from the initial height of 2.75 to a point 2.5 feet higher, 5.25. To get get back down to the 5.25 foot height on the other side of the vertex, is 2.95 seconds. So the total time the ball was in the air was 3 seconds exactly.
the polygons in each pair are similar. Find the missing side length
Answers
Answer:
Since they are similar, 45/27=30/18=x/24. x=40
CAN SOMEONE HELP ME PLEASE
Answers
Answer:
.54 (54%)
Step-by-step explanation:
help me plsssssssssssss
Answers
Answer:
bro the co ordinates are in the picture itself
Answer:
A'(-3,0) ; B'(0,0); C'(3,6) ; D'(-3,6)
Step-by-step explanation:
O(-6,-6)
A( -5 , -4) = A( -6+1 , -6 + 2)
A'(-6+3 ,-6+6) = A'(-3,0)
B(-4,-4) = B(-6+2 , -6+2)
B'(-6+6,-6+6)= B'(0,0)
C(-3,-2) = C(-6+3, -6+4)
C'(-6+9 , -6+12) = C'(3,6)
D(-5 , -2) = D(-6+1 , -6 +4)
D'(-6+3, -6+12)=D'(-3,6)
Given an aritmetic progression 2,6,10,14.. find the smallest value of n such that the sum of the first n terms is greater than 200.
Answers
Answer:
Without thinking too hard, by adding the progression of number until we reach >200 and counting what n value we have we can solve this question.
The rule of this progression is to + 4 every time.
2 + 6 + 10 + 14 + 18 + 22 + 26 + 30 + 34 + 38 + 42
This will give us 242, which is greater than 200. There are 11 numbers here, so the n value is 11.
Answer:
Hello,
Step-by-step explanation:
Using n terms, the arithmetic sequence will be:
2,6,10,14,...,?
=0*4+2,1*4+2,2*4+2,3*4+2,...,(n-1)*4+2
s=(0*4+2)+(1*4+2)+(2*4+2)+(3*4+2)+...+(n-1)*4+2 >200
(2+2+2+...+2)+4(0+1+2+...+(n-1)) > 200
2*n+4*(0+(n-1))*n/2 >200
2n+2(n²-n) > 200
2n² >200
n² > 100
n >10
the smallest value of n is 11.
11 th term is (11-1)*4+2=42
sequence={2,6,10,14,...,42} which sum is 2*11²=242
Enda has job offers at two companies. One company offers a starting salary of $75,000 with a raise of $2,500 each year. The other company offers a starting salary of $55,000 with a raise of $5,000 each year. In how many years would Brenda's salary be the same with both companies? What will the salary be?
Answers
Answer:
8 years
Salary: $95000
Step-by-step explanation:
Write an equation to model the salary and its raise per year. Add the base salary to the raise per year salary times (x). Where the parameter (x) represents the number of years spent in the company.
Company (1):
75000 + 2500x
Company (2):
55000 + 5000(x)
One is asked at which year will the salaries be the same. Equate the two expressions and solve for the variable (x):
75000 + 2500x = 55000 + 5000(x)
Inverse operations:
75000 + 2500x = 55000 + 5000x
20000 + 2500x = 5000x
20000 = 2500x
8 = x
Substitute (x) into any one of the experssions and simplify to solve the epxression,
55000 + 5000(x)
x = 8
= 55000 + 5000(8)
= 55000 + 40000
= 95000
!!!!!!URGENT!!!!!
Two similar rectangles have a proportional coefficient of 1:2, and the perimeter of the smallest one is 80 m, find the
perimeter of the small rectangle
Answers
Answer:
160m
Step-by-step explanation:
Since the rectangles are similar and we have their proportion of coefficient, the larger rectangle is twice the smaller rectangle.
Furthermore, the ratio of two longer sides should equal the ratio of the two shorter sides.
Therefore, for our case, we multiply the smaller rectangle by 2.
Hence;
(80 × 2)m
= 160 m
NB:
The ratio of the areas of two similar shapes or figures is equivalent to the square of the corresponding sides.
Bart is going to paint his bedroom. His uncle told him that a gallon of paint would cover a surface of approximately 40 square feet. He knew that the ceiling in his room was 9 feet high and the paint was $22 a gallon. He also had to buy brushes, a drop cloth, and a ladder. How many gallons of paint should he buy to paint the walls in his bedroom
Answers
Answer:
The measurement for the length of the walls.
Step-by-step explanation:
Given
[tex]Cost = \$22[/tex] per gallon
[tex]Height = 9ft[/tex]
[tex]1\ gallon = 40ft^2[/tex]
See comment for complete question
Required
The additional information needed to solve the question
First, we need to calculate the area of the walls of the bedroom.
The height of the ceilings represents the length/width of the walls; so, we need the width of each side of the bedroom.
Since the width is not given, then we can conclude that the additional information needed is the length/width of the walls.
A car insurance company has determined that 9% of all drivers were involved in a car accident last year. Among the 10 drivers living on one particular street, 3 were involved in a car accident last year. If 10 drivers are randomly selected, what is the probability of getting 3 or more who were involved in a car accident last year?
Answers
Answer:
The correct answer: 0.05404
Step-by-step explanation:
Given:
Binomial distribution = x
n = 10
and p = 0.09
solution:
P(X=x) =1 0Cx*(0.09^x)*((1-0.09)^(10-x)) for x=0,1,2,...,10
So the probability is calculated by the Formula:
P(X>=3) = 1-P(X=0)-P(X=1)-P(X=2)
putting the given values in the formula
= 1-10C0*(0.09^0)*((1-0.09)^(10-0))-...-10C2*(0.09^2)*((1-0.09)^(10-2))
= 0.0540400
Thus, the correct answer: 0.05404
Please help!!
Martha works at a small jewelry store. She designs 2 rings in the first hour. Every additional hour, she designs 3 new rings.
Select all the functions that can be used to find the number of rings, r(n), she designs in n hours.
Answers
Answer:
2nd option and 4th option, other functions don't apply, remember r(1) can't be 3 since the she designs 2 rings in the first hour.
Answered by GAUTHMATH
The places X and Y are 76km apart on a highway one car starts from Y and other from X at the same time. If the cars travel in the same direction at different speeds, they meet in 5 hours. If they travel towards each other, they meet in 1 hour. What are the speeds of two cars?
Answers
Answer:
Fast car = 45.6
Slower car = 30.4
Step-by-step explanation:
Let the speed of the first car = x
Let the speed of the second car = y
Travelling towards each other.
x *1 + y*1 = 76 miles
x*5 - y*5 = 76 miles. This is kind of tricky. You have to understand that the first car that is 76 miles from the second car and makes up that 76 in 5 hours. The distance they both travel is subtracted out.
Divide by 5
x - y = 76/5
x - y = 15.2 The speeds differ by 15.2
x + y = 76
x - y = 15.2
2x = 91.2
x = 45.6
y = 76 - 45.6 = 30.4
When the two vehicles speeds are multiplied by 5, the difference is 76 km
Please find attached herewith the solution of your question.
If you have any query, feel free to ask.
Jessica purchased a DVD that was on sale for 12% off. The sales tax in her county is 3%. Let y represent the original price of the DVD. Write an expression
that can be used to determine the final cost of the DVD. HELP URGENTLY PLEASE
Answers
Answer:
If u add the number it will show u te answer which is 7
Step-by-step explanation:
Help I don’t understand this
Answers
f(0) is the y value when x=0, so you look at the graph at x=0 and look at what y value is at the point. At x=0 you get y=1, so f(0)=1.
Same thing with the other function. g(-8)= -6.
Then you substitute those values.
-8(1) + 4(-6) = -8-24 = -32
plss answer
plss answer
Answers
AYou need soneolper...
Step-by-step explanation:
Op in the chgat
Multiply: -14(y+11)
Answers
Answer:
-14y -154
Step-by-step explanation:
Multiply -14 and y = -14y
Multiply -14 and 11 = -154
Answer:
[tex]-14\left(y+11\right)[/tex]
[tex]=-14y+\left(-14\right)\cdot \:11[/tex]
[tex]=-14y-14\cdot \:1[/tex]
[tex]=-14y-154[/tex]
OAmalOHopeO
I need helppppppppppppppppppppppppppppppppppppppppppppp nowwwwwwwwwwwwwwww i am desperate
Answers
Answer: 14 2/3
This is the same as saying [tex]14\frac{2}{3}[/tex] which is the mixed number 14 and 2/3
whole part = 14
fractional part = 2/3
==================================================
Explanation:
To find the volume of a prism, we multiply the base area by the height.
The base area is shown in green as 7 1/3 square units.
This multiplies with the height 2 to get
2*(7 1/3) = 2*(7 + 1/3) = 2*(7) + 2*(1/3) = 14 + 2/3 = 14 2/3
As alternative notation, you can write 14 2/3 as 14 & 2/3.
Or you could write [tex]14 \frac{2}{3}[/tex]. Keep in mind that this does not mean 14 times 2/3.
Find the area of this circle please and thank you..
Answers
Answer:
452.39
Step-by-step explanation:
Hope this is right
[tex]\sqrt{2} \frac{7}{8}[/tex]
Answers
Answer:
[tex]\sqrt{2\frac{7}{8} } =\\\sqrt{\frac{25}{8} } =\\\sqrt{\frac{25*2}{16} } =[/tex]
±5√2/4
can i gets help with this 2x^2 – 9x + 2 = –1
Answers
A population of bacteria is treated with an antibiotic. It is estimated that 5,000 live bacteria existed in the sample before treatment. After each day of treatment, 40% of the sample remains alive. Which best describes the graph of the function that represents the number of live bacteria after x days of treatment?
f(x) = 5000(0.4)x, with a horizontal asymptote of y = 0
f(x) = 5000(0.6)x, with a vertical asymptote of x = 0
f(x) = 5000(1.4)x, with a horizontal asymptote of y = 0
f(x) = 5000(1.6)x, with a vertical asymptote of x = 0
Answers
Answer:
Step-by-step explanation:
The function is modeled after
[tex]y=a(b)^x[/tex] where a is the initial amount and b is the growth/decay factor. If we start with 5000 bacteria, then a = 5000. The decay factor is determined by the rate at which the bacteria decrease. We know that rate at which the bacteria decrease is 60% because 40% are left alive; therefore, b = .4:
[tex]f(x)=5000(.4)^x[/tex] with a horizontal asymptote of y = 0, the first choice.
The function that represents the number of live bacteria after x days of treatment can be written as f(x) = 5000(0.4)ˣ
What is a function?A relation is a function if it has only One y-value for each x-value.
Given that 40% of the sample remains alive, which means that the number of live bacteria is decreasing exponentially over time.
The base of the exponential function is 0.4, as 40% can be written as 0.4. The initial population of bacteria is 5000, so we multiply the base by 5000 to get the total number of live bacteria after x days.
The graph of this function will have a horizontal asymptote of y = 0, since the number of live bacteria will approach zero as time goes on.
f(x) = 5000(0.4)ˣ is the function represents the number of live bacteria after x days of treatment
Hence, option A is correct, f(x) = 5000(0.4)ˣ with a horizontal asymptote of y = 0.
To learn more on Functions click:
https://brainly.com/question/30721594
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find the area of this circle
Radius: 7ft
Answers
Area of circle =153.86ft²
Answer:
Solution given;
Radius[r]: 7ft
To find;
Area of circle;
Step-by-step explanation:
use formula:
Area of circle =πr²
Calculation:
Area of circle =πr²
substitute value
.Area of circle =3.14*7²=153.86ft²
If the graph of f(x) = x^2, how will the graph be affected if it is changed to f(x) = 3x^2
Answers
Answer:
C) it will get narrower
Step-by-step explanation:
In order for the parallelogram to
be a square, x = [?].
4x + 17
12x - 23
Answers
Answer:
x = 5
Step-by-step explanation:
4x + 17 = 12x - 23
23 + 17 = 12x - 4x
40 = 8x
8 8
5 = x
The value of x should be 5.
What is parallelogram?A parallelogram is a quadrilateral with opposite sides parallel (and therefore opposite angles equal).
As, to from the square using the dimension of parallelogram the value of x should be 5
as the side of square is equal.
4x + 17 = 12x - 23
23 + 17 = 12x - 4x
40 = 8x
5 = x
Learn more about parallelogram here:
https://brainly.com/question/1563728
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What is 25 over 1363
Answers
Answer:
25/1363
0.0183
Step-by-step explanation:
This question includes division. When a number is "over" that number should be the numerator of the fraction and the other number should be the denominator. So, 25 over 1363 would look like [tex]\frac{25}{1363}[/tex] in fraction form. They have no common factors so it cannot be simplified further. However, if wanted, then you could divide the two numbers to get a decimal, 0.0183. But, this is rounded because the exact answer is not rational.
please help me with this on the picture
Answers
Answer:
-3, 7, 17, 27, 37
Step-by-step explanation:
Essentially, you just put -3 for the first box, and add 10. Then you take that new number and put it in the next box.
ugh ,, im stuck again :( someone please explain this !!!
Answers
Answer:
63cm²
Step-by-step explanation:
Area of the shaded region = Area of the rectangle - Area of the two triangles
Area of the rectangle = 6(3+14)
Area of the rectangle = 6 * 17
Area of the rectangle = 102cm²
Area of the smaller triangle = 1/2 * 3 * 6
Area of the smaller triangle = 18/2 = 9cm²
Area of the larger triangle = 1/2 * 6 * (17-7)
Area of the larger triangle = 1/2 * 6 * 10
Area of the larger triangle = 60/2 = 30cm²
Area of the shaded part = 102 - (9+30)
Area of the shaded part = 102 - 39
Area of the shaded part = 63cm²
2x times -y or (2x)(-y)
Answers
Answer:
(2x)(-y)
Step-by-step explanation:
Both are technically correct, but (2x)(-y) is more professional. You can also say 2x * -y.
Hope this helps!
Five years ago, Victor was twice as old as his daughter Anika. In 10 years, the sum of their ages will equal 90. Find their ages now.
Answers
Answer: 45 and 25
Step-by-step explanation:
Given
Five years ago victor was twice as old as his daughter
Suppose the current age of victor and his daughter are x and y
For five years ago
[tex]\Rightarrow (y-5)=2(x-5)\\\Rightarrow y-5=2x-10\\\Rightarrow y=2x-5\\\Rightarrow 2x-y=5\quad \ldots(i)[/tex]
In 10 years sum of their ages is 90
[tex]\Rightarrow (y+10)+(x+10)=90\\\Rightarrow x+y=70\quad \ldots(ii)[/tex]
On solving (i) and (ii) we get
[tex]\Rightarrow x=25,y=45[/tex]
So, the current age of victor is 45 and his daughter is 25
Answer:
45 , 25
Step-by-step explanation:
please help me solve this answer, it is really crucial
Answers
Answer:
Parabolas have an axis of symmetry. If we assume that x=2 is that axis of symmetry, them that must mean the x values -2 and 6 should have the same y values, which they don't, thus an equation is not possible.
what is the correct answer for this question ?
Answers
Answer:
[tex]b)\ 61m[/tex]
Step-by-step explanation:
The given triangle is a right triangle. This means that one can use right-angle trigonometry to solve the triangle. The right angle trigonometric ratios are a set of ratios that relate the sides and angles of a triangle. These ratios are as follows,
[tex]sin(\theta)=\frac{opposite}{hypotenuse}\\\\cos(\theta)=\frac{adjacent}{hypotenuse}\\\\tan(\theta)=\frac{opposite}{adjacent}[/tex]
Bear in mind, the names (opposite) and (adjacent) change depending on the angle of reference. However, the side (hypotenuse) refers to the side opposite the right angle, this side doesn't change depending on the reference angle.
In this problem, one is given the measure of an angle, and the measure of the hypotenuse, the problem asks one to solve for the side opposite the given angle measure. It would make the most logical sense to use the ratio of sine (sin) to do this.
[tex]sin(\theta)=\frac{opposite}{hypotenuse}[/tex]
Substitute,
[tex]sin(56)=\frac{h}{73}[/tex]
Inverse operations,
[tex]sin(56)=\frac{h}{73}[/tex]
[tex]73(sin(56))=h[/tex]
[tex]60.519\approx h[/tex]
