Answer:
B. because there are too many side lengths to be a triangle
Tara and Mallory are practicing their passing at a volleyball practice. Tara bumps the ball from a height of 3 feet above the ground with an initial upward velocity of 12 feet/second. at the same time, mallory serves the ball from a height of 3.25 feet above the ground with an initial upward velocity of 9 feet/second.
if x represents the number of seconds since each ball is passed and y represents the height of the ball, which system of equations models the projectile motion of the two balls? recall that the acceleration due to gravity is -32 feet/second
Answer:
The system of equation that models the projectile of the two balls is option;
C. y = -16·x² + 12·x + 3
y = -16·x² + 9·x + 3.25
Step-by-step explanation:
The general equation for vertical (upward) motion under gravity is presented as follows;
h - h₀ = u·t + 1/2·g·t²
Where;
h = The final height reached
h₀ = The initial height
u = The initial velocity
g = The acceleration due to gravity ≈ -32 feet/second
t = The time taken
We can rewrite the above equation with different letters for the variables as follows;
h = y,
h₀ = y₀, and
t = x
Therefore, we have;
y - y₀ = u·x - 1/2 × 32 × x²
y = u·x - 1/2 × 32 × x² + y₀ = u·x - 16· x² + y₀
y = u·x - 16· x² + y₀ = -16·x² + u·x + y₀
y = -16·x² + u·x + y₀
For Tara, we have;
u = 12 feet/second
y₀ = 3 feet
Therefore, we get;
y = -16·x² + 12·x + 3
For Mallory, we have;
u = 9 feet/second
y₀ = 3.25 feet
Therefore, we get;
y = -16·x² + 9·x + 3.25
The correct option is therefore;
y = -16·x² + 12·x + 3
y = -16·x² + 9·x + 3.25
Level 2: Find the area of the shape:
8 ft
6 ft
14 ft
5 ft
5 ft
Area:
ft2
Help please!!!!
Step-by-step explanation:
a triangle is the area of 2
Laura wants to learn more about her new high school. Which of the following is a statistical question Laura could ask?
A. What is the address of the school
B. Who is the principal
C. How old are the students at the school
D. Does the high-school have a jazz band
Answer:
D.
Step-by-step explanation:
There is no explanation
8th grade math, explain if you can please.
Answer:
I'm pretty sure that the answer is 1.76?
Step-by-step explanation:
The formula is this tho:
V=πr^2h
Which of the following is true about the expression 7 + V3?
Answer:
is this a multiple-choice question?
Step-by-step explanation:
**i'll go back and change my answer, i promise**
Peter is the owner of a hardware supply shop. He has hired you to check his machines calibration prior to starting production on a large order. To check this, you set the machine to create 2.0 inch nails and manufacture a random sample of 200 nails. That sample of nails has an average length of 2.024 inches with a standard deviation of 0.205 inches.
Does this sample provide convincing evidence that the machine is working properly or should it be shut down for repairs?
Answer:If we compare the p value and the significance level assumed we see thatso we can conclude that we have enough evidence to FAIL reject the null hypothesis, so we can conclude that the true mean is not different from the specification at 1% of signficance.
Step-by-step explanation:
The machine is working properly based on the convincing evidence provided by the sample.
How to calculate the test statistics.For the null hypothesis, we would test that:
H0 : p = 2
For the alternate hypothesis, we would test that:
Ha > p = 2
In Mathematics, the test statistics of a given sample is calculated by using this formula:
[tex]Z=\frac{x\;-\;u}{\frac{\sigma}{\sqrt{n} } }[/tex]
Where:
x is the sample mean.u is the mean.is the standard deviation.n is the sample size.Substituting the given parameters into the formula, we have;
[tex]Z=\frac{2.024\;-\;2}{\frac{0.205}{\sqrt{200} } }\\\\Z=\frac{0.024}{\frac{0.205}{14.14} }\\\\Z=\frac{0.024}{0.0145 }[/tex]
Z = 1.66.
For the p-value:
P(Z > Zo) = P(Z > 1.66)
P(Z > 1.66) = P(Z < -1.66)
P(Z < -1.66) = 0.0485.
From the z-table, a z-score of 1.66 corresponds has a p-value of 0.0485. Therefore, the p-value for this test is 0.0485 < 2 while assuming a confidence level of 95%.
In conclusion, we fail to reject the null hypothesis because 0.0485 < 2.
Read more on null hypothesis here: https://brainly.com/question/14913351
Please help and will give brainliest
9514 1404 393
Answer:
12 m³
Step-by-step explanation:
The bottom platform has dimensions 2m × 4m × 3m, so a volume of ...
V = LWH
V = (2 m)(4 m)(3 m) = 24 m³
The top platform has dimensions 2m × 3m × 2m, so a volume of ...
V = (2 m)(3 m)(2 m) = 12 m³
The bottom platform has a larger volume by ...
24 m³ -12 m³ = 12 m³
The bottom prism has a 12 m³ larger volume.
Answer:
the answer is 12m squared
Aretha had 9 pencils. She gave her
sister 1/3 of the pencils. How many
pencils did Aretha give her sister?
Answer:
3
Step-by-step explanation:
9 divided by 3 is 3
An expression is shown.
95-34
What is the value of the expression?
Answer:
61
Step-by-step explanation:
95
- 34
_______
61
Help... need it right now ;-;
Answer:
1
Step-by-step explanation:
|3 + 2 - 6| = |5 - 6| = |-1| = 1
Answer:
1
Step-by-step explanation:
Hello There!
For this one, like the other one, all we have to do is plug in the values
so
l 3 - (-2) + (-6) l
3 - (-2)
the two negative signs cancels out so now its
3+2 which is equal to 5
5-6=-1
l-1l remember l l means absolute value and the absolute value of -1 is 1 so the answer is 1
Plz help this is 400 points. Nancy bought a Reuben sandwich and received her change in several coins. The cashier handed Nancy 2 half dollars, 3 quarters, 4 dimes, 4 nickels, and 1 penny. How much money did Nancy get in change?
Answer:
2.35
Step-by-step explanation:
2x50=100
3x25=75
4x10=40
4x5=20
100+75+40+20=2.35
what is x
I'm confused
Answer:
x = 3
Step-by-step explanation:
the diagonals bisect each other so:
6x + 2 = 20
subtract 2 from both sides of the equation:
6x = 18
x = 18/6
x = 3
In ΔRST, s = 3.5 cm, r = 5.4 cm and ∠R=49°. Find all possible values of ∠S, to the nearest 10th of a degree.
Answer:
29.3
Step-by-step explanation:
Sin(49)/5.4 = Sin(S)/3.5
Cross multiply.
0.4891636168
Sin^-1(0.4891636168) = 29.28562335
Round to nearest tenth.
29.3
factor g(x) =6x^3 +13x^2 -2x -1 if (2x + 3) is a factor.
what is the number 21.0384 rounded to the nearest hundredth?
Answer:
21.04
Step-by-step explanation:
the 8 is closest to 10 so that would make the 3 a 4.
What decimal is equivalent to 8/40?
Answer:
0.20
Step-by-step explanation:
8 divided by 40 equals 0.2
0.20 is the decimal is equivalent to 8/40.
What is decimal?A group of numbers between integers on a number line are known as decimals. They are merely an additional mathematical representation of fractions. Decimals allow us to express measurable quantities like length, weight, distance, money, etc. with greater accuracy. Integers, also known as whole numbers, are represented to the left of the decimal point, while decimal fractions are represented to the right of the decimal point. The next place, which is (1/10)th or tenth place value, is (1/10) times smaller if we move immediately from the first place.
Given:
Fraction = 8/40
Now, simplifying the given fraction
8/40
= 8/( 8x 5)
= 1/5
=0.20
Hence, 0.20 is the decimal is equivalent to 8/40.
Learn more about decimal here:
https://brainly.com/question/109147
#SPJ2
Previous data estimates the proportion of adults who are fully literate in Colombia to be 0.92. Suppose a random sample of adults from Columbia is to be taken and used to construct a 95% confidence interval for the proportion of adults who are fully literate. What is the MINIMUM sample size which should be used to construct this interval if the margin of error for the interval is to be 0.03 or less
Answer:
The minimum sample size which should be used is 315.
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which
z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].
The margin of error is:
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
Previous data estimates the proportion of adults who are fully literate in Colombia to be 0.92.
This means that [tex]\pi = 0.92[/tex]
95% confidence level
So [tex]\alpha = 0.05[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.05}{2} = 0.975[/tex], so [tex]Z = 1.96[/tex].
What is the MINIMUM sample size which should be used to construct this interval if the margin of error for the interval is to be 0.03 or less?
The minimum sample size that should be used is n for which M = 0.03. So
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
[tex]0.03 = 1.96\sqrt{\frac{0.92*0.08}{n}}[/tex]
[tex]0.03\sqrt{n} = 1.96\sqrt{0.92*0.08}[/tex]
[tex]\sqrt{n} = \frac{1.96\sqrt{0.92*0.08}}{0.03}[/tex]
[tex](\sqrt{n})^2 = (\frac{1.96\sqrt{0.92*0.08}}{0.03})^2[/tex]
[tex]n = 314.2[/tex]
Rounding up
The minimum sample size which should be used is 315.
A quality-conscious disk manufacturer wishes to know the fraction of disks his company makes which are defective. Step 1 of 2: Suppose a sample of 2346 floppy disks is drawn. Of these disks, 1971 were not defective. Using the data, estimate the proportion of disks which are defective. Enter your answer as a fraction or a decimal number rounded to three decimal places.
Answer:
The proportion of disks which are defective is 0.16.
Step-by-step explanation:
The proportion of defective disks is the number of defective disks in the sample divided by the size of the sample.
In this question:
2346 disks.
1971 not defective, so 2346 - 1971 = 375 defective.
[tex]p = \frac{375}{2346} = 0.16[/tex]
The proportion of disks which are defective is 0.16.
I need help ASAP I’m confused with this problem
Answer:
I believe it's A
Step-by-step explanation:
not sure but
A triangle has sides with lengths of 10 centimeters, 23 centimeters, and 26 centimeters. Is it
a right triangle?
Answer:
No, it is not a right triangle. It is an obtuse triangle.
Step-by-step explanation:
How to know a right traingle
A right triangle is a triangle in which one of the angles is a 90∘ angle. The "square" at the vertex of the angle indicates that it is 90 degrees. A triangle can be determined to be a right triangle if the side lengths are known. If the lengths satisfy the Pythagorean Theorem (a2+b2=c2) then it is a right triangle.
15 less than 3 times a number is 5 more than half of the number.
Answer:
Mystery Number is 8
Step-by-step explanation:
3x - 15 = 5 + 1/2x
3x - 1/2x = 15 + 5
5/2x = 20
x = 20 / 5/2
x = 20 * 2/5
x = 40 / 5
x = 8
28 is equal to how many hundredths and tenths
Answer:
0 hundredths. 2 tenths and 8 ones
Which of the following is a statistical question? A. How many girls named Jennifer are there in the class? B. What is the age of students in Ron's school? C. How many artifacts are there in the museum? D. What is the capital of Texas?
Answer:
bbbb
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
It may vary
Are congruent triangles also similar?
Answer: yes they are
Step-by-step explanation:
If two pairs of corresponding angles in a pair of triangles are congruent, then the triangles are similar. We know this because if two angle pairs are the same, then the third pair must also be equal.
Answer:
Yes
Step-by-step explanation:
While congruent triangles are similar, similar triangles may not be congruent.
Sally has a clock with a minute hand that extends to the clock's edge. The 10 points
minute hand is 5.25 inches long. What is the CIRCUMFERENCE of the
clock? *Hint* the minute hand is the radius. *
16.485 inches
32.97 inches
about 86.55 inches
None of the above
Answer:
no se ingles así que no se pero te doy gracias por los puntos
Cole is 6 years older than Ryan. The sum of their ages is 84. How old is Cole
Answer:
It will be 78
Step-by-step explanation:
Because if you do 84 minus 6 you get 78
Meggie starts with 100$ in her account.she wants to deposit 5$ per week . write an equation in slope intercept form to represent this situation
Answer:
y = 5x + 100
Step-by-step explanation:
Playland Park charges $25 admission plus $2 per ride. Funland Park charges $35 admission plus $1 per ride. For what number of rides is the total cost the same at both parks?
The width of a kitchen is 4.2 metres.
Kitchen cupboard widths are 60cm.
How many kitchen cupboard will fit in 4.2 metres?
Enter the number only
Given:
The width of a kitchen is 4.2 metres.
Kitchen cupboard widths are 60 cm.
To find:
The number of kitchen cupboard that will fit in 4.2 metres.
Solution:
Let x be the number of kitchen cupboard that will fit in 4.2 metres.
Width of 1 cupboard = 60 cm
Width of x cupboards = 60x cm
We know that, 1 m = 100 cm.
Width of a kitchen = 4.2 metres
= 4.2×100 cm
= 420 cm
Now, the width of the x cupboards is equal to width of the kitchen.
[tex]60x=420[/tex]
[tex]x=\dfrac{420}{60}[/tex]
[tex]x=7[/tex]
Therefore, the number of kitchen cupboard that will fit in 4.2 metres is 7.
How much times does it take to put 0.3 into 5.7 whoever answers first and the most accurate gets brainliest
Answer:
what is the answer to this
Two optometrists (eye doctors) each compiled data from 10 different random samples. The table contains their respective data sets.
Doctor A Doctor B
Corrective Lenses Glasses Contacts Corrective Lenses Glasses Contacts
745 643 102 763 651 112
726 634 92 736 625 111
769 670 99 735 622 113
765 658 107 759 624 135
756 636 120 748 631 117
742 624 118 756 621 135
757 641 116 765 653 112
748 655 93 761 647 114
770 649 121 768 646 122
738 629 109 761 646 115
Part A
Are there any noticeable outliers in either of the data sets? What does this mean about the best measures to use for center and variability?
Step-by-step explanation:
the answer is 19
Step-by-step explanation:
5.7/0.3=19