The height of a projectile that is thrown upward from ground level with an initial velocity of 98 meters per second can be modeled by the equation h = −4.9t2 + 98t, where h is the height in meters and t is the elapsed time in seconds. Find the time it takes for the projectile to hit the ground
Answer:
20 seconds
Step-by-step explanation:
The time taken by projectile to hit the ground is 20 second.
What is Quadratic equation?The polynomial equations of degree 2 for a single variable of type f(x) = ax2 + bx + c = 0, where a, b, c, ∈ R, and a ≠ zero, are known as quadratic equations. The leading coefficient is referred to as "a," and the absolute term of the quadratic equation is referred to as "c." The roots of the quadratic equation (α, β). are the values of x that satisfy the equation.
Given initial velocity of a projectile = 98 m/s
equation h = -4.9t² + 98t
where t = time and h = height of projectile,
time taken by projectile to hit the ground,
where h = 0
equation will be
-4.9t² + 98t = 0
4.9t² = 98t
4.9t = 98
t = 98/4.9
t = 20 second
Hence time taken is 20 second.
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The angle between 0° and 360° and is coterminal with a standard position angle measuring 1186° angle is
Answer:
106
Step-by-step explanation:
4.3, 3.8, 3.3, 4.0, 3.8, 4.3, 4.2, 4.3
Find the median
Answer:
the median i think is th 4.3 that is in the front and the 4.3 in the back because they are look like same numbers to me so thx
Step-by-step explanation:
pls brainly me of my answer
that the median the 2 4.3 ok
Answer:
4.1
Step-by-step explanation:
1) if to sort the given sequence to the largest term, then
3.3; 3.8; 3.8; 4.0; 4.2; 4.3; 4.3; 4.3.
2) the midpoint between 4.0 and 4.2 is 4.1, it means the median is 4.1.
I need help witha math problem.
The height of a triangle is 4 feet less than the length of its base, b. The area of the triangle is 30 square feet.
Find the base and the height of the triangle...
.
Answer:
base(b)=10 and height(h)=6
Step-by-step explanation:
From the question,
base(b)=x feet
height(h)=(x-4) feet
Area(A)=30 square feet
Now,
We know,
Area of triangle(A)=1/2*b*h
or, 30=1/2*x*(x - 4)
or, 30=1/2*x^2 -4x
or, 30*2=x^2 -4x
or, 60=x^2 -4x
or, 0 = x^2 -4x -60
or, 0 = x^2 +6x - 10x -60
or, 0 = x(x + 6) -10(x + 6)
or, 0 = (x+6) (x-10)
Either,
x+6=0. or, x-10=0
or,x= -6. or, x= 10
Since, the base of the triangle can not be negative number then, x≠ -6feet but x=10feet
Lastly,
Height(h)=X - 4
=10 - 4
=6 feet
Help me solve this I’ve been stuck on this question.
Thank you
Answer:
The answer is 94.25 sq.in
Step-by-step explanation:
Given rectangle- 7 1/4 in by 13
to fin area for one of the triangles
For triangle, base = 13 in, height = 7 1/4 in, = 29/4 in
Area- 1/3 x base x height = 1/2 x 13 x 29/4 in. 2
= 37/4 in. 2
= 94.25 sq. in
Which of the following statements are TRUE about the normal distribution? Check all that apply.
a. A z-score is the number of standard deviations a specific data value is from the mean of the distribution.
b. The Empirical Rule only applies when a value is exactly 1, 2, or 3 standard deviations away from the mean.
c. A data value with z-score = -1.5 is located 1.5 standard deviations below the mean.
d. The mean corresponds to the z-score of 1.
e. The area to the left of a z-score plus the area to the right of that same z-score will always equal 1.
Using the normal distribution, it is found that statements a, b, c and e are correct.
Normal Probability DistributionThe z-score of a measure X of a normally distributed variable with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The z-score measures how many standard deviations the measure is above or below the mean. Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.What does the Empirical Rule state?It states that, for a normally distributed random variable:
Approximately 68% of the measures are within 1 standard deviation of the mean.Approximately 95% of the measures are within 2 standard deviations of the mean.Approximately 99.7% of the measures are within 3 standard deviations of the mean.Hence, only statement D is false, as the mean corresponds to z-score of 0.
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What is the area of the figure 5 cm2cm 20cm 10cm
Answer:
2,000
Step-by-step explanation:
Hope this helps you. I'd the answer is incorrect please let me know.
solve for x
[tex]4x - 16 = 0[/tex]
thankyou ~
4
Step-by-step explanation:
1. Add 16 to both sides
2. Simplify
3. Divide both sides by the same factor
4. Simplify
Solution: x = 4
- How many "tenths" make one
Answer:
10 tenths make a one
Step-by-step explanation:
because it works like dimes making a dollar you need 10 of them to make a dollar, and they are in the tenths position.
Answer:
ten tenths
Step-by-step explanation:
10/10 = 1
Hope this helps
Brian purchased 10 shares of an aggressive growth mutual fund at $90 per share, for a total of $900, 7 years ago. Today he sold all 10 shares for $4,500. What was his average annual compound rate of return on this investment before tax?
Answer:
$514 give or take. I could be wrong so you might want some confirmation on my answer before putting it on your test or what ever you need it for because i'm only in Middle School.
Step-by-step explanation:
Simplify this expression to
have no negative exponents.
What is the area of this rectangle? and brainleist
16 m
36 m
32 sq m
39 sq m
Answer:
39 sq m
Step-by-step explanation:
Since it asking for area:
Formula for area: A = Lw {Length x Width}
Thus,
A =wl = 3·13=39
We can also do
13 + 13 + 13 = 39
Hence, Answer is 39 sq m
~lenvy~
Annabelle uses models to compare two decimal numbers. She says 0.24 is greater than 0.4 because 24 > 4.
A square partitioned into one hundred equal parts with twenty four parts shaded. To the right is a square partitioned into ten equal parts with four parts shaded.
Which of these explains Annabelle's mistake?
A. Annabelle incorrectly shaded the models. She should shade six more tenths.
B. Annabelle incorrectly counted the number of shaded parts in the models. She should compare 3 shaded parts to 4 shaded parts.
C. Annabelle incorrectly compared hundredths to tenths. She should compare 24 hundredths to 40 hundredths.
D. Annabelle incorrectly compared tenths. She should compare 4 hundredths to 4 hundredths.
Answer:
C
Step-by-step explanation:
0.24 is the same as 24 hundredths.
0.4 is the same as 4 tenths or 40 hundredths.
Liam spends $4 for 2 pounds of grapes. The grapes sell at a rate of $
per pound.
Answer:
Grapes sell at a rate of $2 per pound
Step-by-step explanation:
Step 1: Determine the price per unit
(Price of Items) / (Total Pounds)
($4) / (2)
$2
Answer: Grapes sell at a rate of $2 per pound
A phone company determined that an increase in income does not indicate a change in a customer's phone usage. What does the analysis show?There is no correlation between income and phone usage.
There is a correlation between income and phone usage. There may or may not be causation. Further studies would have to be done to determine this.
There is a correlation between income and phone usage. There is probably also causation. This is because there is likely an increase in phone usage with an increase in income.
The analysis shows there is a correlation between income and phone usage. There may or may not be causation. Further studies would have to be done to determine this.
What is correlation and causation?Correlation is a statistical measure used to measure the relationship that exists between two variables. It is used to measure the direction of change in one variable when there is a change in another variable.
Causation is when a change in one variable leads to another change in the other variable.
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I have attached a picture of the question.
The probability that a meal at a restaurant is overcooked is 10%. Estimate the probability that exactly 1 of the next 2 meals is overcooked.
Answer:
The probability that exactly 1 of the next 2 meals is overcooked = 3.34%
Step-by-step explanation:
The probability that a meal at a restaurant is overcooked is 10%
The probability that exactly 1 of the next 2 meals is overcooked = out of 3 meals 1 meal is overcooked of 10%
= 1 × 3 × 10%
= 10 × 3 %
= 3.34 %
Answer: 18.1%
Step-by-step explanation:
[tex]P($ overcooked $)=1 / 10$ \\$P($ exactly one overcooked of next two)\\\begin{$aligned}&\Rightarrow O N+N O \quad\left[\begin{array}{l}O \rightarrow \text { Overcooked } \\N \rightarrow \text { Not Overcooked}\end{array}\right. \\&\Rightarrow P(O) \cdot P(N)+P(N) P(O)\end{aligned}$$[/tex]
[tex]$$P(N)=1 - 1/10 = 9 / 10$$$P(exactly 1 overcooked)$$\begin{aligned}&=\frac{1}{10} \cdot \frac{9}{10}+\frac{1}{10} \cdot \frac{9}{10} \\&=\frac{18}{100} \\ &=\frac{9}{50} \text { }\text { or } 18.1\%\end{aligned}$$[/tex]
NEED HELP ASAP
The graph describes the number of students in each classroom during the first block at a high school.
Please no links.
What percentage of the class have at least 21 students first block.
Answer: 70%
Step-by-step explanation:
Not sure if this is correct but according to the red numbers there is a total of 20 classes. Looking at how many of these classes have 21 or more students we can see that the last three bars contain classes of 21 or more students. The last three bars contain a total of 14 of the 20 classes.
14/20 = 0.7 = 70%
meaning 70% of the classes contain at least 21 students.
Does anyone know how to
Solve the system of equations.
−3x+y=2
7x−8y=1
Evaluate the expression 43 ÷ (7 − 3) × 2.
Answer: 21.5
Step-by-step explanation:
The order of operations are:
1) Parenthesis and Brackets
2) Exponents
3) Multiplication and Division (from left to right)
4) Addition and Subtraction (from left to right)
Parenthesis are first so let's solve them first
43 ÷ (7 − 3) × 2
43 ÷ (4) × 2
Now we only have division and multiplication
So we must do this from left to right, starting by 43 ÷ 4
43 ÷ 4 × 2
10.75× 2
Finally, multiply
10.75× 2
21.5
Answer:
[tex]43 \div (7 - 3) \times 2[/tex]
using BODMAS ~
[tex]43 \div (4) \times 2 \\ \\ \dashrightarrow \: \frac{43}{\cancel{4}} \times \cancel{2} \\ \\ \dashrightarrow \: \frac{43}{2} \\ \\ \dashrightarrow \: 21.5[/tex]
hope helpful ~
What was Linda's slowest time in the 50-meter freestyle?
seconds
Submit
Solve the equation 25z2 − 140 = 29 by using square roots.
A. z = ±13/5
B. z = ±7/5
C. z = ±29/7
D. no real solutions
Answer:
Option A, [tex]z =[/tex] ± [tex]13/5[/tex]
Step-by-step explanation:
Step 1: Add 140 both sides
[tex]25z^2 - 140 = 29[/tex]
[tex]25z^2 - 140 + 140 = 29 + 140[/tex]
[tex]25z^2 = 169[/tex]
Step 2: Divide both sides by 25
[tex]\frac{25z^2}{25} = \frac{169}{25}[/tex]
[tex]z^2 = 6.76[/tex]
Step 3: Square root both sides
[tex]\sqrt{z^2} = \sqrt{6.76}[/tex]
[tex]z =[/tex] ± [tex]2.6[/tex]
[tex]z =[/tex] ± [tex]13/5[/tex]
Answer: Option A, [tex]z =[/tex] ± [tex]13/5[/tex]
if the volume of a cone is 12 what is the volume of a cylinder having the same base and height
Answer:Vol of cylinder is area of base (B) times its height(H); while the volume of a cone is area of base (B') times one-third of its height (H').
Step-by-step explanation:
What are the fractions 7 1/2 multiplied by 1/16
please help me answer this question!!
Answer:
○ [tex]\displaystyle 2\:units[/tex]
Step-by-step explanation:
[tex]\displaystyle \frac{24}{6} = \frac{6s^2}{6} \hookrightarrow \sqrt{4} = \sqrt{s^2} \\ \\ 2 = s[/tex]
I am joyous to assist you at any time.
Write 3 2/7 as an improper fraction
Answer: [tex]\frac{23}{7}[/tex]
Step-by-step explanation:
An improper fraction is a fraction with the wholes / ones in the numerator.
3 [tex]\frac{2}{7}[/tex]
3 * 7 = 21
21 + 2 = 23
[tex]\frac{23}{7}[/tex]
Answer:
23/7
Step-by-step explanation:
You multiply 7 times 3 which equals 21 then add 2 and get 23 you leave yor denominator the same.
So you multiply your denominator by your wole number then add the whole number (21) by your numerator (2) and leave your denominator (7) as it is.
Pls help on this edulastic, brainly community. Answer the questions in the pic.
Answer is C
I hope this halped you
Answer:
C. f(x) > g(x) for x > 2
Step-by-step explanation:
Using a graph is probably the easiest way to compare an exponential function with a polynomial function. There are no algebraic methods for finding points of intersection. ("Trial and error," or "table of values" will work.)
A graph of these two functions shows f(x) > g(x) except on the interval [1, 2]. That is, f(x) > g(x) for x > 2.
i need to find the area for this pls help
Answer:
Area = 261
Step-by-step explanation:
(28 x 7) + (10 x 13)/2. Solve 196 + 65 = 261
If the attendance at a baseball game is to be predicted by the equation Attendance = 16,500 − 75 Temperature, what would be the predicted attendance if Temperature is 90 degrees?
The predicted attendance if Temperature is 90 degrees will be 9750.
How to calculate the equation?From the information given, the attendance at a baseball game is to be predicted by the equation Attendance = 16,500 − 75 Temperature.
The predicted attendance will be:
= 16500 - 75(90)
= 16500 - 6750
= 9750
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