Answer:
Part A
1.5 seconds
Part B
By substitution and factorization because h = 0 at ground level
Step-by-step explanation:
Part A
The height from which the soccer player heads the ball, h = 6 feet
The initial velocity of the ball, v = 20 ft./s
The height of the ball in feet, h = -16·t² + 20·t + 6
From the given equation of the ball, we have;
At the initial height, t = 0, from the given equation, h = 6
At the ground level, the height, h = 0, therefore, we get;
0 = -16·t² + 20·t + 6
Factorizing using a graphing calculator gives;
0 = 2 × (-8·t² + 10·t + 3) = -2 × (8·t² - 10·t - 3) = -2 × (2·t -3)·(4·t + 1)
∴ (2·t -3)·(4·t + 1) = 0
t = 1.5 or t = -1/4 = -0.25
Therefore;
The time it takes the ball to hit the ground, t = 1.5 seconds.
Part B
The method used in solving the given quadratic equation is by plugging in the value of 'h' as h = 0 in the given equation and factorizing the result because at ground level, the height, h = 0.
sam said the absoulute value of 14 is -14. Kai said the absolute value of 14 is 14. Who is correct. Explain
Answer:
Kai is right.
Step-by-step explanation:
Absolute Value is always positive.
Answer:
Kia is Right.
Step-by-step explanation:
14 always stay positive and when it is like -14, So -14 Is a negative number so just take out the negative sign and you well be all set.
HELP DUE IN 15 MINS!
Assume that any lines that appear to be tangent are tangent.
perimeter =??
Answer:
Perimeter = 55.4
Step-by-step explanation:
8 + 8 + 8.7 + 8.7+ 11 + 11 = 55.4
Hope this helps!
Each card in a set of cards has one of the letters from the word MATHEMATICS. The cards are shuffled. Suppose you draw a card from the set of cards, record the letter, return the card to the set, and shuffle the cards. You repeat this experiment 22 times. Would you expect the experimental probability of drawing a vowel to be the same as the theoretical probability? YES or NO and Explain you answer
Answer:
No
Step-by-step explanation:
Theoretical probability is the expected probability of anything. For example we expect a probability of 1/6 for each number when we roll a die .
Experimental Probability is the one that is obtained by the actual experimenting of rolling the die.
The theoretical probability is the example of perfect probability and experimental probability is the example of actual occurrence.
Their formulas are
Theoretical Probability = number of possible outcomes/ total number of possible outcomes
Experimental Probability = number of favorable outcomes/ total number of actual outcomes
If we a roll a fair die several times we may get 2 repeated number of times or any other number that is on the die.
So the experimental probability is bit different from the theoretical probability.
Now if the cards are shuffled and the experiment is repeated 22 times
experimental probability of drawing a vowel would not be the same as the theoretical probability because n is small.
If n→1000 or more
n→∞
According to K. Pearson or Buffon when n tends to infinity the theoretical probability becomes equal to experimental probability.
They experimented this on a coin and put forward their results.
3. During geometry class, Mr. Jones constructed the perpendicular bisector of segment AB as
shown below.
If AC = 4x + 12 and BC = 2x + 18, find AB.
A. 3
B. 6
C. 24
D. 48
Answer:
D
Step-by-step explanation:
Which of the following is the solution to the inequality below?
-3/2(x-1/3)> -5x
A. x> -3/35
B. x>2/21
C. x< 2/21
D. x< -3/35
Answer:1/3
Step-by-step explanation:
Rearrange the equation by subtracting what is to the right of the greater than sign from both sides of the inequality :
3/2*(x-1/3)-(-5*x)>0
Step by step solution :
STEP
1
:
1
Simplify —
3
Equation at the end of step
1
:
3 1
(— • (x - —)) - -5x > 0
2 3
STEP
2
:
Rewriting the whole as an Equivalent Fraction
2.1 Subtracting a fraction from a whole
Rewrite the whole as a fraction using 3 as the denominator :
x x • 3
x = — = —————
1 3
Equivalent fraction : The fraction thus generated looks different but has the same value as the whole
Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator
Adding fractions that have a common denominator :
2.2 Adding up the two equivalent fractions
Add the two equivalent fractions which now have a common denominator
Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:
x • 3 - (1) 3x - 1
——————————— = ——————
3 3
Equation at the end of step
2
:
3 (3x - 1)
(— • ————————) - -5x > 0
2 3
STEP
3
:
3
Simplify —
2
Equation at the end of step
3
:
3 (3x - 1)
(— • ————————) - -5x > 0
2 3
STEP
4
:
Equation at the end of step
4
:
(3x - 1)
———————— - -5x > 0
2
STEP
5
:
Rewriting the whole as an Equivalent Fraction :
5.1 Subtracting a whole from a fraction
Rewrite the whole as a fraction using 2 as the denominator :
-5x -5x • 2
-5x = ——— = ———————
1 2
Adding fractions that have a common denominator :
5.2 Adding up the two equivalent fractions
(3x-1) - (-5x • 2) 13x - 1
—————————————————— = ———————
2 2
The equation at the end of step
5
:
13x - 1
——————— > 0
2
STEP
6
:
6.1 Multiply both sides by 2
6.2 Divide both sides by 13
x-(1/13) > 0
Solve Basic Inequality :
6.3 Add 1/13 to both sides
x > 1/13
Find US, find MN, find YZ
Answer:
I think the answer it 5
Step-by-step explanation:
Compare the box plots for two data sets.
Which statement is true?
-
Set A
Set A
TI
Set B
20
22
24 26 28
30
32 34
36
38 40
The range for Set B is greater than the range for
Set A
The median for Set A is greater than the median
for Set B.
The ranges for both sets are equal
The medians for both sets are equal.
Answer:
The median for Set A is greater than the median
for Set B.
Step-by-step explanation:
From the boxplot attached, we can deduce the following :
Median (vertical line in between the box on a boxplot).
Median, set A = 30
Median, set B = 29
Range = (Maximum - Minimum. Value)
Set A :
Maximum = 35 ; Minimum = 21
Range = 35 - 21 = 14
Set B :
Maximum = 37 ; Minimum = 24
Range = 37 - 34 = 3
Hence, from the options, the only correct statement is The median for Set A is greater than the median for Set B.
On Monday, a dental hygienist cleans teeth of 5 patients by the time she takes her lunch break at noon. On average, she is able to clean the teeth of 9 patients in 4 hours
Write a function to represent the number of patients she sees, y, and the number of hours, 2. the hygienist works after lunch on Monday.
Enter your answer in the box
PLEASE HELP!
The function that represents the number of patients she sees is; y = 9/4x + 5 and number of patients after 2 hours is 9 patients
How to write Functions?We are given;
Number of patients the dental hygeinist cleans before lunch = 5
Average number that she cleans after lunch = 9 patients in 4 hours
Thus, number of patients per hour is 9/4
The formula for slope intercept form is;
y = mx + c
Thus, equation to represent the situation in the question is;
y = 9/4x + 5
At 2 hours after lunch, number of patients is;
y = 9/4(2) + 5
y = 9.5
Approximately 9 patients
Read more about Functions at;
https://brainly.com/question/1415456
#SPJ2
If 5 people have 8 1/2 pounds of cherries equally, how many pounds of cherries does each person get?
Answer : 1.7 pounds
Step-by-step explanation:
8 1/2 / 5 = 1.7
Volume (look at the picture)
Answer:
192 is the volume
Step-by-step explanation:
Answer:
192 cubic (measurement you are using)
Step-by-step explanation:
Formula for the volume of a pyramid is length of base times width of height times the height of the pyramid all over 3 so it would be 8x8x9 all over 3 which is 576, and 576 divided by 3 is 192
2x + 2y = -2
3x - 2y = 12
Solve By Elimination
Pls give me the hole equation
Answer:
x = 2
y = -3
Step-by-step explanation:
2x + 2y = -2, then 2y = -2 - 2x
3x - 2y = 12, then 2y = 3x - 12
so:
-2 - 2x = 3x - 12
add 2x and 12 to each side of the equation:
5x = 10
divide both sides by 5:
x = 2
2y = 3(2) - 12
2y = -6
divide both sides by 2:
y = -3
For the past week, your restaurant revenue was $28,675 and your food cost was $9,274. Calculate your gråss margi
percentage (revenue - food cost)lrevenue). Remember to round to the nearest percent.
a) 63%
b) 68%
C) 73%
d) 78%
Answer: b) 68%
Step-by-step explanation:
Gross margin is used to calculate the amount left of revenue after the costs of goods sold is accounted for.
The formula is:
= (Revenue - Cost) / Revenue
= (28,675 - 9,274) / 28,675
= 0.67658
= 68%
Someone plz help me
Answer:
C - Triangle, Pentagon, Hexagon, Decagon
Step-by-step explanation:
Triangle - 3 sides
Pentagon - 5 sides
Hexagon - 6 sides
Decagon - 10 sides
From Least to greatest!
:)
HELP NEEDED ASAP!!! FASTEST CORRECT ANSWER GETS BRAINIEST!!!
Determine which of the following sampling methods is the best way to select a group of people for a study if you are interested in making statements about the larger population?
•Convenience sampling
•Random sampling
•Purposive sampling
•Quota sampling
Answer: C. Purposive Sampling
Step-by-step explanation:
This sampling is the use of a portion of the population to represent the whole or larger population. If you wanted to make statements about the larger population this would be the best way to go about it.
Find the missing angle.
Round to the nearest tenth.
B = 50°
b = 8
a = 10
A=
Answer: 73.2 degrees
Step-by-step explanation:
Have a great summer
Ms. Pacheco wrote the following expression. [7 x (4 + 11)] - 9 What is the value of the expression?
Answer: 105x-9
Step-by-step explanation:
Sorry love don’t feel like typing the explanation! :(
Arnetta’s monthly gross pay is $4,200 federal withholding is 16.05%
Answer: $3204.06
Step-by-step explanation:
Here's the complete question:
Arnetta's monthly gross pay is $4,200. Federal withholding is 16.05% of her pay. Her other deductions total $321.30. Find her net pay.
First, we calculate the Federal witholding which will be:
= 16.05% × $4200
= 0.1605 × $4200
= $674.10
The total deduction will now be:
= $674.10 + $321.30
= $995.40
The net pay will now be:
= Gross pay - Total deductions
= $4,200 - $995.40
= $3204.06
Therefore, Arnetta’s net pay is $3204.06
Karen and Max tracked the number of emails that they received each day over the last month. Which statement is supported by the data?
A. Max and Karen’s IQR values are the same.
B. Max’s median is greater than Karen’s median.
C. Max’s maximum is greater than Karen’s maximum.
D. Max’s data is more symmetrical than Karen’s data.
Answer:
Step-by-step explanation:
Math question:
I'm not good at math so pls help me
Answer:
c
Step-by-step explanation:
Answer: D: 1/14
Step-by-step explanation:
1/7 chance of picking orange marble, times 1/2 chance of flipping tails.
1/7 X 1/2 = 1/14
when twice a number is increased by 10, the sum is 42.what is the number?
The figure is made up of a hemisphere and a cylinder.
What is the exact volume of the figure?
Enter your answer in the box.
Answer:
90π in^3.
Step-by-step explanation:
Total Volume = volume of cylinder + volume of the hemisphere.
= πr^2h + 1/2*4/3πr^3
= π * 3^2 * 8 + 2/3 π 3^3 ( Note the radius r = 1/2 diameter = 1/2*6 = 3)
= 72π + 18π
= 90π in^3.
Answer: The answer above me is correct.
Step-by-step explanation: good luck on the quiz :)
what is 4(2/3x +2) = 3x
Answer:
x = 8
Simplified
3x = 8 + 8/3x
Step-by-step explanation:
4(2/3x + 2) = 3x
8/3x + 8 = 3x
8/3x - 8/3x + 8 = 3x - 8/3x
8 = x
X+4-1=3 x=
Please help me!
Answer:
x=0
Step-by-step explanation:
add 4 to -1 that gives you 3 and then slide 3 to the other side which gives you 3-3 and that equals 0.
NEED THE ANSWER PLEASE
Answer:
d. 89°
Step-by-step explanation:
The given measure of the angles formed are;
m∠AED = 48°, m[tex]\widehat{AG}[/tex] = 175°
According to circle theorem, the angle formed by a chord and a tangent of a circle is given by half of the measure of the arc intercepted by the chord in the direction of the angle;
Therefore;
m∠AED = (1/2) × m[tex]\widehat{ABE}[/tex] = 48°
∴ m[tex]\widehat{ABE}[/tex] = 2 × 48° = 96°
m∠AEF = (1/2) × m[tex]\widehat{AGE}[/tex]
m[tex]\widehat{ABE}[/tex] + m[tex]\widehat{AGE}[/tex] = 360° (angle round a circle)
∴ m[tex]\widehat{AGE}[/tex] = 360° - m[tex]\widehat{ABE}[/tex] = 360° - 96° = 264°
m[tex]\widehat{AGE}[/tex] = m[tex]\widehat{AG}[/tex] + m[tex]\widehat{EG}[/tex]
∴ m[tex]\widehat{EG}[/tex] = m[tex]\widehat{AGE}[/tex] - m[tex]\widehat{AG}[/tex] = 264° - 175° = 89°
m[tex]\widehat{EG}[/tex] = 89°.
I HAVE LIKE 2 MORE QUESTIONS, HELP ME PLZ!
Given:
Base length of triangle = 10 units
Height of triangle = [tex]\sqrt{44}[/tex] units
Length of hypotenuse of triangle = 12 units
To find:
Exact value of Cos A
Steps:
The cosine of any angle is equal to the length of the adjacent side by the length of the hypotenuse side.
So,
Cos A = [tex]\frac{adjacent}{hypotenuse}[/tex]
Cos A = [tex]\frac{10}{12}[/tex]
Cos A = 0.833
Therefore, the exact value of cos A is 0.833.
Happy to help :)
If u need any help, feel free to ask
Mrs. McClure's famous peanut butter cookies call for 1 cup of peanut butter for every 1 2 of a cup of oil. Today, she wants to make a huge batch with 1 cup of oil. How much peanut butter should she use?
Answer:
Amount of butter need for 1 cup of oil = 2 cup of butter
Step-by-step explanation:
Given:
Amount of butter need for 1/2 cup of oil = 1 cup
Find:
Amount of butter need for 1 cup of oil
Computation:
Amount of butter need for 1/2 cup of oil = 1 cup
1 cup butter = 1/2 cup oil
So,
Amount of butter need for 1 cup of oil = 1 / [1/2]
Amount of butter need for 1 cup of oil = 1 / [0.5]
Amount of butter need for 1 cup of oil = 2 cup of butter
Please help What is the value of x. Look at picture.
Answer:
x = 50
Step-by-step explanation:
3x - 10 and 2(x + 10) are vertical angles and congruent , so
3x - 30 = 2(x + 10)
3x - 30 = 2x + 20 ( subtract 2x from both sides )
x - 30 = 20 ( add 30 to both sides )
x = 50
pls answer i need the answer
1 ticket
2 tickets
3 tickets
4 tickets
Answer:
3
Step-by-step explanation:
Answer:
2 tickets
Step-by-step explanation:
a + c = 5
9a + 4c = 30
let a = 5-c
substitute:
9(5-c) + 4c = 30
45 - 9c + 4c = 30
45 - 5c = 30
-5c = -15
c = 3
a = 2
A competitive diver dives from a 33-foot high diving board. The height of the diver in feet after 't' seconds is given by u(t) = −16t^2 + 4t + 33. At the moment the diver begins her dive, another diver begins climbing the diving board ladder at a rate of 2 feet per second. At what height above the pool deck do the two divers pass each other? Please answer it quickly, it's for my homework.
Answer:
[tex]t = 0.375s[/tex]
Step-by-step explanation:
Given
[tex]h(t) = -16t^2 + 4t + 33[/tex] --- driver 1
[tex]Rate = 2ft/s[/tex] -- driver 2
[tex]height = 33ft[/tex]
Required
The time they passed each other
First, we determine the function of driver 2.
We have that:
[tex]Rate = 2ft/s[/tex] and [tex]height = 33ft[/tex]
So, the function is:
[tex]h_2(t) = Height - Rate * t[/tex]
[tex]h_2(t) = 33 - 2t[/tex]
The time they drive pass each other is calculated as:
[tex]h(t) = h_2(t)[/tex]
[tex]-16t^2 + 4t + 33= 33 - 2t[/tex]
Collect like terms
[tex]-16t^2 + 4t + 2t= 33 - 33[/tex]
[tex]-16t^2 + 6t= 0[/tex]
Divide through by 2t
[tex]-8t + 3= 0[/tex]
Solve for -8t
[tex]-8t = -3[/tex]
Solve for t
[tex]t = \frac{-3}{-8}[/tex]
[tex]t = 0.375s[/tex]
6 = 3s
s=?
What does s=?
Answer:
s=2
Step-by-step explanation:
6=3s
6/3=3s/3 divide both sides by 3
2=s