Solving the quadratic equation, it is found that it took 2.5 seconds for the ball to hit the ground.
What is the quadratic equation for the ball's height?It is given by:
h(t) = -8t² + 18t + 5.
It hits the ground when h(t) = 0, hence:
-8t² + 18t + 5 = 0.
Which has coefficients a = -8, b = 18, c = 5, then:
[tex]\Delta = 18^2 - 4(-8)(5) = 484[/tex]
[tex]x_1 = \frac{-18 + \sqrt{484}}{2(-8)} = -0.25[/tex]
[tex]x_2 = \frac{-18 - \sqrt{484}}{2(-8)} = 2.5[/tex]
It took 2.5 seconds for the ball to hit the ground.
More can be learned about quadratic equations at https://brainly.com/question/24737967
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The difference between each pair of consecutive terms in this arithmetic sequence is 1 1/4 . Find the next term in the sequence. 2 3/4, 4, 5 1/4, 6 1/2 , ...
Answer:
7 3/4
Step-by-step explanation:
6 1/2 +1 1/4=7 3/4
To find any number in a sequence given the distance between each number, just add the distance to the last number in the sequence
The sunshine ski shop makes a profit of $40 on each pair of skis sold. Shop expenses for one week are 2,480. What is the minimum number of pairs of skis that must be sold in one week to make profit of at least $2,000
Answer:
Number of units to sell= 112 units
Step-by-step explanation:
Giving the following information:
Unitary contribution margin= $40
Fixed costs= $2,480
Desired profit= $2,000
To calculate the number of units to be sold, we need to use the following formula:
Break-even point in units= (fixed costs + desired profit) / contribution margin per unit
Break-even point in units= (2,480 + 2,000) / 40
Break-even point in units= 112 units
Answer:
32000
Step-by-step explanation:
Which pair of angles are alternate exterior angles?
A) 1 and 8
B) 1 and 7
C) 2 and 7
D) 2 and 9
Answer:
Option (C)
Step-by-step explanation:
From the picture attached,
Two lines are the parallel lines and one line is intersecting these lines at two distinct points.
m∠3 = ∠6 [Alternate interior angles]
Since, angles 2 and 7 are the vertically opposite angles,
m∠2 = m∠7 [Alternate exterior angles]
Therefore, angles ∠2 and ∠7 are the pair of alternate exterior angles.
Option (C) is the answer.
Jason is selling sets of knives and makes 10% commission on all sales. What would his commission be on the sale of a #3250 set of knives?
Answer:
$325
Step-by-step explanation:
Take 10 percent of $3250 dollars or 3250×.1
Answer:
Cross multiply to get $325
The average distance of the Earth from the Sun is 93 million miles. This distance is not constant due to the elliptical rotation of the Earth around the sun and can vary by approximately 1.6 million miles. Which equation can be used to represent the minimum and maximum distances between the Earth and the Sun? |x - target| = varies
Answer:
[tex]|x-93|=1.6[/tex]
Step-by-step explanation:
Let x be the Maximum and Minimum Sun Earth distance
The average distance between Earth and Sun is 93 million miles.
The distance varies by 1.6 million miles.
The equation to find the maximum and minimum value will be
[tex]|x-93|=1.6[/tex]
When modulus function is used one value of the function will be positive and the other will be negative.
[tex]x-93=1.6\\\Rightarrow x=93+1.6\\\Rightarrow x=94.6[/tex]
[tex]-(x-93)=1.6\\\Rightarrow 93-x=1.6\\\Rightarrow x=93-1.6\\\Rightarrow x=91.4[/tex]
So, the maximum and minimum Earth Sun distance is 94.6 and 91.4 million miles respectively.
One sanctuary had 180 green sea turtles come ashore to lay eggs last year. This year, the number
of turtles increased by 20%. How many turtles came ashore to lay eggs in the sanctuary this
year?
Answer:
216
Step-by-step explanation:
180 times .2 (20 percent in decimal form) = 36
36+180=216
A line has a slope of Negative three-fourths and passes through the point (–5, 4). Which is the equation of the line?
Answer:
y=-3/4x
Step-by-step explanation:
the form is "y=mx(+/-b). m is slope. b is y-intercept.
3/5x+19−320x−7 simplified is
Answer: 1597x-60/5
Step-by-step explanation:
Answer:
(60 - 1597 x)/5
Step-by-step explanation:
Simplify the following:
(3 x)/5 - 320 x - 7 + 19
Hint: | Put the fractions in (3 x)/5 - 320 x - 7 + 19 over a common denominator.
Put each term in (3 x)/5 - 320 x - 7 + 19 over the common denominator 5: (3 x)/5 - 320 x - 7 + 19 = (3 x)/5 - (1600 x)/5 - 35/5 + 95/5:
(3 x)/5 - (1600 x)/5 - 35/5 + 95/5
Hint: | Combine (3 x)/5 - (1600 x)/5 - 35/5 + 95/5 into a single fraction.
(3 x)/5 - (1600 x)/5 - 35/5 + 95/5 = (3 x - 1600 x - 35 + 95)/5:
(3 x - 1600 x - 35 + 95)/5
Hint: | Group like terms in 3 x - 1600 x - 35 + 95.
Grouping like terms, 3 x - 1600 x - 35 + 95 = (95 - 35) + (3 x - 1600 x):
((95 - 35) + (3 x - 1600 x))/5
Hint: | Combine like terms in 3 x - 1600 x.
3 x - 1600 x = -1597 x:
(-1597 x + (95 - 35))/5
Hint: | Evaluate 95 - 35.
95 - 35 = 60:
Answer: (60 - 1597 x)/5
-2x^2+5x-4=0 , find the discriminant
Answer:
The discriminant is -7
Step-by-step explanation:
The discriminant of a quadratic function/equation(ax^2+bx+c = 0) is calculated as:
[tex]b^2 -4ac[/tex]
Here
b is the co-efficient of x
a is the co-efficient of x^2
and c is the constant
Given equation is:
[tex]-2x^2+5x-4=0[/tex]
Here
a = -2
b = 5
c = -4
Putting the values in the formula for discriminant
[tex]= b^2 - 4ac\\= (5)^2 - 4(-2)(-4)\\= 25 - 32\\=-7[/tex]
As the discriminant is negative, the equation has no real solution.
Hence,
The discriminant is -7
PLEASE HELP ASAP!!
A student is working two jobs over the summer to pay for a new car. The student gets paid $25 for each lawn that
is mowed (C)and $15 for each pool that is cleaned (y). The student wants to earn $750 to pay for a down payment
on a car.
• Create a model in standard form to represent this linear relationship.
• Identify the x-intercept. Explain what this means in the context of the problem.
• Identify the y-intercept. Explain what this means in the context of the problem.
Identify two combinations that are solutions to this equation. Explain what these combinations mean in the
context of the problem.
Answer:
Step-by-step explanation:
- 25x + 15y = 750
- (30, 0) are coordinates of x-intercept. If there is no pool-cleaning job student has to do 30 lawn-mowing.
- (0, 50) are coordinates of y-intercept. If there is no lawn-mowing job student has to do 50 pool-cleanings.
- ( 15 , 25 ) mean 15 lawn-mowing and 25 pool-cleanings
$25(15) + $15(25) = $750
$375 + $375 = $750
What is the approximate value of x in the diagram below?(Hint: You will need to use one of the trigonometric ratios given in the table.)
Answer:
39.59
Step-by-step explanation:
Just took the quiz
The value of x in the given diagram is 39.59 units.
Correct option is (E).
What is Trigonometry?The trigonometric function, which comprises the sine, cosine, tangent, cotangent, secant, and cosecant, is one of the six mathematical operations used to describe the side ratios of right triangles (csc). Trigonometry can be used to solve problems in surveying, engineering, and navigation where one of a right triangle's acute angles and one side's length are known but the lengths of the other sides need to be computed.
As per the given diagram:
The length of the perpendicular (P) = 27 units
Base angle = 43°
x is the hypotenuse.
To find the value of x we can use the trigonometric ratios given in the question.
sinθ = P/H
Where H is the hypotenuse, P the perpendicular and θ the base angle.
sin(43°) = 27/x
0.682 = 27/x
x = 27/0.682
x = 39.59 units
Hence, the value of x in the given diagram is 39.59 units.
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Distribute the expression. 2(8^2−5+11)
Answer:140
Step-by-step explanation:
Answer:multiply the 2 to the # in the () then boom done
Step-by-step explanation:
Help plz:))) I’ll mark u brainliest
ASAP!!!
Answer:
isosceles
Step-by-step explanation:
the two bottom angles are equivalent
the top angle is different
two sides are also of equal length
Question 7 (10 points) Find the slopes of the lines and determine if they are perpendicular or not. y -2 = '/2 (x+4) y - 3 = -2(x + 5) m = m = Perpendicular? (yes or no)
Part A; what is an equation that can be used to solve X?
Part B; what is the value of X? THANK YOU GUYS!!
Answer:
x = 80° im pretty sure
Step-by-step explanation:
Nots sure about the equation but you could do 52° + x° + 48°= 180
Then x = 80°
An architect designed an apartment building that was to be 196 ft. High. He made a model of the building using a scale of ½ inch = 1 foot. How high was the model?
Answer:
25feet
Step-by-step explanation:
(-4 2/3) (1 1/2) as a mixed number in simplest form
Answer:
-7
Step-by-step explanation:
8. It took Sharon 85 minutes to wash three cars. She spent x minutes on each car and 10 minutes
putting everything away. Solve 3x +10 = 85 to find out how long it took to wash each car.
a. 5.5 minutes
b. 28.3 minutes
c. 25 minutes
d. 31.65 minutes
Answer:
c. 25 minutes
Step-by-step explanation:
3x + 10 = 85
3x = 85 - 10
3x = 75
x = 25
You want to sign up with Ryan's Gymboree. The registration fee is $50 and
the monthly fee is $35. Write an equation to represent the cost for Ryan's
Gymboree.
Please hurry
Answer:
35x=50
Step-by-step explanation:
this is the equation. Because its asking each month or monthly fee is $35. So its 35x=50
3⁄2 c + 23 = 38
solve to-step equations
Answer:
Step-by-step explanation:
c=10
What is the Zero of f ?
Answer:
(-1, 0)
Step-by-step explanation:
List the parts that are congruent based on the markings. Be sure to label properly!
Please helppp. I’ll give brainliest!
Answer:
Angles T and W are congruent to each other. Angles U and X are congruent to each other.
Step-by-step explanation:
Please help me out??
Answer:
Step-by-step explanation:
(20, 20) (-18 -20)
What’s the slope of
Answer:
20/19
Step-by-step explanation:
[tex]\frac{20--20}{20--18} =\frac{40}{38}= \frac{20}{19}[/tex]
I need help with my math homework
ASP
Answer:
yes
Step-by-step explanation:
yes
Answer:
No, for multiple reasons
Step-by-step explanation:
1) There is no square box to indicate it is 90 degrees
2) a + b is supposed to equal c. And (with 6 = a, 8 = b, and 12 = c) this is not true
Please helpppp algebra
Answer: (-6,-9)
Step-by-step explanation: you probably don't wanna read this but in case someone asks you about it- first start by putting the first equation into graphing form, turning it into 2y=-3x+12.
then you can go ahead and multiply the second equation by two to get 2(y=1/2x-6), which is 2y=x-12.
next, just subtraction! 2y=-3x+12 minus 2y=x-12!
You get -4x=24, which leaves you to divide both sides by -4 to get x=-6!
now to put in x for the solution, you take a equation(either one) and put in x
[y=1/2(-6)-6]
[y=-3-6]
[y=-9]
so your points are (-6,-9)
The price of a DVD is $24.00 plus 8% sales tax.What is the sales tax on this DVD in dollars and cents?
A) 25
B) 0.8
C) 1.92
D) 30
Answer:
Your answer is C) 1.92
Hope this helps ^_^
Answer:
Sales tax is $1.92 or 192 cents.
Step-by-step explanation:
Given the price of a DVD is $24.00 plus 8% sales tax.
we have to find the sales tax on this DVD in dollars and cents.
The sales tax is 8% can be calculated as
8/100 X $24
1.92
In cents
as one dollar equals 100 cents
∴ 1.92 dollar = $1.92 = 192 cents
Hence, sales tax is $1.92 or 192 cents.
So your answer is C!!
Can I try answering questions that are on your profiles
Please I need to earn points and brainliest
Answer:
Ok
Step-by-step explanation:
Go for it
PLEASE HELP !!!!!! I need help with geometry thank you !!
Answer:
Step-by-step explanationo
k:
Answer:
22
Step-by-step explanation:
4x - 1 = 2x + 5 [a bisector splits a segment into two congruent parts]2x - 1 = 5 [subtract 2x from both sides]2x = 6 [add 1 to both sides]x = 3 [divide both sides by 2]So, CD = DE = 4(3)-1 = 11, meaning CE = 22.
[tex]\sqrt{200\\[/tex]
Answer: 14.1421356237
Step-by-step explanation: We should know that 200 can be written in radical form (√200 = q × q = q2). To find the square root of 200, first you can ask yourself whether √200 is a perfect square, in which it isn’t because it doesn’t equal a whole number. Next, ask yourself if √200 is a rational or irrational number, in which it is an irrational number. After, determine whether √200 can be simplified, which in this case can be simplified to 200 = 10√2 which makes it easier to calculate the square root of 200. Lastly, the easiest and most boring way to calculate the square root of 200 is to use your calculator! Simply type in 200 followed by √x to get the answer. We did that with our calculator and got the following answer with 9 decimal numbers:
√200 ≈ 14.142135624
