Answer:
7.4secs
Step-by-step explanation:
If the path of a swim team member is modeled by the equation
h(t) = -0.875t²+5.25t+14
where t is time in seconds and h is the height above the surface of the water
If she need to finish in no later than 5feet above the surface, the expression will become:
-0.875t²+5.25t+14≤5
-0.875t²+5.25t+14-5≤0
-0.875t²+5.25t+9≤0
Rewriting using fraction
-7/8t²+21/9t+9≤0
To get the time that this happens we will need to factorize the resulting expression above;
On factorising
Find the roots of the equation using the formulas
t = 3+3√105/7
t = 3+ 3(10.25)/7
t = 3 + (30.75)/7
t = 3 + 4.393
t = 7.393
t = 7.4secs
Hence this happens at t = 7.4secs
Answer:
The time when the swim team member is 5 feet above the water surface is 7.4 seconds.
Step-by-step explanation:
You want to know when a member of the swim team finished his jump no later than 5 feet above the surface of the water to prepare for the splash, that is, when t is 5 feet above the surface of the water. Substituting h(t) for this value 5 in the equation you obtain:
5= -0.875*t²+5.25*t+14
A quadratic equation has the general form:
a*x² + b*x +c= 0
where a, b and c are known values and a cannot be 0.
Taking the equation 5= -0.875*t²+5.25*t+14 to that form, you get:
-0.875*t²+5.25*t+14-5=0
-0.875*t²+5.25*t+9=0
The roots of a quadratic equation are the values of the unknown that satisfy the equation. And solving a quadratic equation is finding the roots of the equation. For this you use the formula:
[tex]\frac{-b+-\sqrt{b^{2}-4*a*c } }{2*a}[/tex]
In this case, solving the equation is calculating the values of t, that is, you find the time when the swim team member is 5 feet above the water surface.
Being a= -0.875, b=5.25 and c= 9, then
[tex]\frac{-5.25+-\sqrt{5.25^{2}-4*(-0.875)*9 } }{2*(-0.875)}[/tex]
[tex]\frac{-5.25+-\sqrt{27.56+31.5 } }{-1.75}[/tex]
[tex]\frac{-5.25+-\sqrt{59.06 } }{-1.75}[/tex]
[tex]\frac{-5.25+-7.685}{-1.75}[/tex]
Then:
[tex]t1=\frac{-5.25+7.685}{-1.75}[/tex] and [tex]t2=\frac{-5.25-7.685}{-1.75}[/tex]
Solving for t1:
[tex]t1=\frac{2.435}{-1.75}[/tex]
t1= -1.39 ≅ -1.4
Solving for t2:
[tex]t2=\frac{-12.935}{-1.75}[/tex]
t2= 7.39 ≅ 7.4
Since time cannot be negative, the time when the swim team member is 5 feet above the water surface is 7.4 seconds.
how do you subtract 8.43x^3 - 2.7x10^2
Answer:
Step-by-step explanation:
I tried this on a calculator but you could also do it on paper hope this helped!
what are some ways to write 4 times x
Answer:
Some ways to write 4 times x are: 4x, 4*x
Can some one plz help me plz
1. 10 + 5x = 20
2. 5 + 10x = 20
3. 20 - 5x = 10
4. x/5 + 10 = 20
Is ✓ 10 greater than, less than or equal to 5? Use the drop-down menus to explain your answer.
Because 10 lies between two consecutive perfect squares,
Choose.
1.110 is located between the choose...
these two numbers
of
This means that 10 is located between
Choose
.so V 10 is
Choose
5
Answer:
Step-by-step explanation:
✓9 = 3
And
✓16=4
=> ✓10 is between number 3 and 4
=> ✓10 is less than 5
Number √10 is less than 5.
Because 10 lies between two consecutive perfect squares of 3 and 4.
What is Number system?
A system of writing to express the number is called number system.
Given that;
The number is √10.
Since, Value of √10 = 3.16
Which is less than 5.
That is, 3.16 < 5
And, Value of 3² = 9
Value of 4² = 16
⇒ 3² < 10 < 4²
Hence, 10 is lies between two consecutive perfect squares 3 and 4.
Thus, Number √10 is less than 5.
Because 10 lies between two consecutive perfect squares of 3 and 4.
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Which deal is better? Pizza A is 10-inch diameter for $15 or Pizza B is a 12-inch diameter for $27? Which do you get more pizza per dollar spent?
Answer:
the answer is pizza b
Step-by-step explanation:
first i did 15 divided by 10=1.50
then i did 27 divided by 12=2.25
then i did 1.25%of 12=0.15
then 2.25 of 12=0.27
you get more pizza per dollar with pizza b
6) Andy is going kyacking. He has $341 to spend on parking and paddles. Parking costs $30 and paddles cost $45.20 per person. Determine how many people can go kyacking
Answer:
6 people can go
Step-by-step explanation:
341-30=311
311-45.2x=0
45.2x=311
x=6.88
6.88 people can go but .88 of a person doesnt exist
The numbers 20 through 30 were written on individual cards and placed in a bag. If you take one card from the bag, what is the probability that it will not have the digit 2 on it?
Answer:
1/10
Step-by-step explanation:
20 21 22 23 24 25 26 27 28 29 30
X. X. X. X. X. X. X. X. X. X. V
1/10
20-29 all have a 2 in it meaning 30 is the only digit that doesnt have a 2 so 1/10 numbers
If one card taken from the bag then the probability that will not have the digit 2 on it is 1/11.
What is probability ?Probability shows possibility to happen an event, it defines that an event will occur or not. The probability varies from 0 to 1.
Given that,
Numbers from 20 to 30 are written on individual cards.
The total numbers of cards = 11
And numbers on cards = 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30
To find the probability of cards that have not the digit 2 on it.
Since, there is only one digit 30, which does not have digit 2,
Therefore, probability = favorable outcome / total outcome
= 1 / 11
The required probability of choosing a card that will not have the digit 2 on it is 1/11.
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Please help me solve 5 and 4!
can anyone help me with this one
Answer:
180+216= 396cm²
please mark brainliest♡♡
Step-by-step explanation:
First separate the shape into two rectangular
27 - 9= 18
18×10= 180cm²
9×24= 216c m²
Answer:
396 cm²
Step-by-step explanation:
Area = 10 x (27 - 9) + 24 x 9
= 10 x 18 + 24 x 9
= 20 x 9 + 24 x 9
= 44 x 9
= 396 cm²
A car dealer organizes the inventory of a specific model of car into a frequency table comparing the type of car and the model year. the dealer used the data from the frequency table to create this conditional relative frequency table by column. a 4-column table with 3 rows titled car inventory. the first column has no label with entries current model year, previous model year, total. the second column is labeled coupe with entries 0.9, 0.1, 1.0. the third column is labeled sedan with entries 0.75, 0.25, 1.0. the fourth column is labeled nearly equal 0.79 , nearly equal to 0.21, 1.0. which is the best description of the 0.1 in the table? given that a car is a coupe, there is a 10% chance it is from the previous model year. given that a car is from the previous model year, there is a 10% chance that it is a coupe. there is a 10% chance that the car is from the previous model year. there is a 10% chance that the car is a coupe.
A car is from the previous model year, there is a 10% chance that it is a coupe. Then the correct option is A.
What is probability?Probability means possibility. It deals with the occurrence of a random event. The value of probability can only be from 0 to 1. Its basic meaning is something is likely to happen. It is the ratio of the favorable event to the total number of events.
A car dealer organizes the inventory of a specific model of a car into a frequency table comparing the type of car and the model year.
The dealer used the data from the frequency table to create this conditional relative frequency table by column.
A car is from the previous model year, there is a 10% chance that it is a coupe.
More about the probability link is given below.
https://brainly.com/question/795909
Answer:
A.) Given that a car is a coupe, there is a 10% chance it is from the previous model year.
Step-by-step explanation:
The person above me is correcttt~
edge2022
good luck! :)
~nxmbus
Find the value of x. (It's an obtuse scalene triangle with two angles of 33° and 29°)
Answer:
118
Step-by-step explanation:
33+29 = 62
180 - 62 = 118
if you drive 25 miles at a rate of 50 miles per hour. how long will this take?
Answer:
30 minutes
Step-by-step explanation:
50/25 =2 x 15 = 30
A number is chosen at random from the whole numbers
between 1 and 100, inclusive.
(a) What is the probability that the number ends in a zero?
(b) What is the probability that the number is odd?
(c) What is the probability that the number is odd or ends in
a zero?
Answer:
90 for the first oneoneoneone
Step-by-step explanation:
Find the area of the circle with the diameter of 16
Answer:
64 [pi]
Step-by-step explanation:
pi r²=pi (8) 2=64 pi [use the symbol]
hope this helps! :)
Answer:
803.84
Step-by-step explanation:
A=3.14r^2
A=3.14x16^2
16x16=256
256x3.14=803.84
Hope this helps : )
ILL GIVE BRAINIEST TO WHOEVER IS CORRECT!! PLEASE HELP ASAP!! WITH WORK PLEASE!!!
Answer:
14,10
Step-by-step explanation:
8=(x+2)/2
16=x+2
x=14
4=(y-2)/2
8=y-2
y=10
Answer:
Step-by-step explanation:
I need help you ASAP I need the answer
Answer:
[tex]\huge\boxed{<BCA = 48\°}[/tex]
Step-by-step explanation:
The measure of exterior angle is equal to the sum of the non-adjacent interior angles.
So,
∠NAB = ∠ABC + ∠BCA
105° = 57° + ∠BCA
Subtracting 57 to both sides
∠BCA = 105°-57°
∠BCA = 48°Hope this helped!
~AnonymousHelper1807The scores of the students on a standardized test are normally distributed, with a mean of 500 and a standard deviation of 110. What is the probability that a randomly selected student has a score between 350 and 550? Use the portion of the standard normal table below to help answer the question. Z Probability 0. 00 0. 5000 0. 25 0. 5987 0. 35 0. 6368 0. 45 0. 6736 1. 00 0. 8413 1. 26 0. 8961 1. 35 0. 9115 1. 36 0. 9131 9% 24% 59% 91%.
The probability of the students to be randomly selected between 350 and 550 will be 0.2395 or 24%
What will be the probability?we know that the formula for probability is given by
[tex]Z=\dfrac{X-\mu }{\sigma}[/tex]
where,
Z = Z score,
X = raw score,
μ = mean,
σ = standard deviation,
The probability of the students to be selected randomly between 350 and 550 will be given as
[tex]=P(350 < X < 550)[/tex]
[tex]=P(350-500 < X-500 < 550-500)[/tex]
[tex]=P(\dfrac{350-500}{110} < \dfrac{X-500}{110} < \dfrac{550-500}{110}[/tex]
[tex]=P(-1.36 < Z < 0.45)[/tex]
[tex]=P(Z-1.36)-P(Z-0.45)[/tex]
[tex]=(0.9131-0.6736)[/tex]
[tex]=0.2395[/tex]
Thus the probability of the students to be randomly selected between 350 and 550 will be 0.2395 or 24%
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simplify 2 1/3 + 1 3/10 - 3 2/15
please help me quick i will mark you as brainliest and this question also gives 18 points
Answer:
7
Step-by-step explanation:
2 x 1/3 + 1 x 3/10 - 3 x 2/15
Multiplying each Side by the LCM which is 30
u will get 10 (2x1) + 3 (1x3) - 2 (3x2)
10(2) + 3(3) - 2(6)
20 + 9 -12
19 -12
7
Jessica paid $25.50 for 3.4 pounds of shrimp. How much would it cost her to buy 8 pounds?
Answer: The answer would be $60
Step-by-step explanation: You would first wanna solve for how much one pound of shrimp costs, which is $7.5 (you divide 25.50 by 3.4) Then you would want to multiply 7.5 by 8 to get how much 8 pounds of shrimp costs.
how many bases does a rectangular pyramid have?
Answer:
it has a 4 sided,1 base
Step-by-step explanation:
Answer:
One base, look at the image I uploaded;
A line passes through the points
(4,3) and (9, -7).
What is the equation for the line in
slope-intercept form?
Answer:
y=-2x+7
enter the point into point slope form to find the slope and then use one of the points in point slope form and rearrange it to have y by itself
What is the first step needed to solve
() -6=
IN
2
5
X-6= -16?
O a
Subtract 16 from both sides
Ob
Add 6 to both sides
Ос
Divide both sides by 5
O d
Multiply both sides by 2
What is the image of (x,y) after a translation of 3 units left and 7 units down?
Answer:
[tex](x + 3, y - 7)[/tex]
Step-by-step explanation:
Given
[tex]Function = (x,y)[/tex]
Translation:
[tex]Left = 3\ units[/tex]
[tex]Down = 7\ units[/tex]
Required
Determine the image of the function
Apply the first translation
[tex]Left = 3\ units[/tex]
When function (x,y) is 3 units translated left, we add the units to the x value.
The new function becomes:
[tex](x,y) -> (x + 3, y)[/tex]
Apply the second translation
[tex]Down = 7\ units[/tex]
We subtract 7 units from the y value
[tex](x,y) -> (x + 3, y)[/tex]
becomes:
[tex](x + 3, y) ->(x + 3, y - 7)[/tex]
Hence:
The image of the function is:
[tex](x + 3, y - 7)[/tex]
Need a quick help with the point lol
Answer: Point
Step-by-step explanation: Point
Answer:
its 14 because you divide the circumfrece and then pi
Step-by-step explanation:
What is the value of log Subscript 0. 5 Baseline 16? –4. 00 –0. 25 1. 51 2. 41.
The value of the logarithm expression [tex]log_{0.5}(16)[/tex] evaluated is given by : Option A: -4.00
What is logarithm and some of its useful properties?When you raise a number with an exponent, there comes a result.
Lets say you get
[tex]a^b = c[/tex]
Then, you can write 'b' in terms of 'a' and 'c' using logarithm as follows
[tex]b = log_a(c)[/tex]
Some properties of logarithm are:
[tex]\log_a(b) = \log_a(c) \implies b = c\\\\\log_a(b) + \log_a(c) = \log_a(b \times c)\\\\\log_a(b) - \log_a(c) = \log_a(\frac{b}{c})\\\\\log_a(b^c) = c \times \log_a(b)\\\\\log_b(b) = 1\\\\\log_a(b) + log_b(c) = \log_a(c)\\[/tex]
Log with base e = 2.71828... is written as [tex]\ln(x)[/tex] simply.
Log with base 10 is written as [tex]\log(x)[/tex] simply.
For this case, we have to simplify the expression [tex]log_{0.5}(16)[/tex]
Let this is equal to 'a', then:
[tex]a = \log_{0.5}(16)\\\\0.5^a = 16\\(\dfrac{1}{2})^a = 16\\\\1^a/2^a = 2^4\\\\1 = 2^4 \times 2^a\\2^0 = 2^{4+a}\\\\0 = 4 + a\\a = -4[/tex]
(we used the property that: [tex]b^0 = 1[/tex] and [tex]k^m \times k^n = k^{m+n}[/tex] )
Thus, the value of the logarithm expression [tex]log_{0.5}(16)[/tex] evaluated is given by : Option A: -4.00
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(5, 3) and (5,-9) slope:
30 POINTS
Determine what comes next in the given pattern.
15, 10, 14, 10, 13, 10,
Answer:
→ 12..........
I hope this will help you....
Answer: 12, 10,
Step-by-step explanation:
Number 5 please I’m having trouble
Answer:
B
Step-by-step explanation:
you would just divide 37 from 8659
35. Priscila's age is k years while Mary's age is byears. If Mary is 15 years older than b Priscila, which of the following stateinents is correct? 2k + b = 15 -K= 15 6 K-6= 15 D. 20+k=15 A. В.
The relationship between Priscilla's and Mary's age illustrates algebraic expression
The correct representation of the statements is b - k = 15
How to determine the representation of their ages?From the question, we have:
Priscilla = k
Mary = b
Mary = 15 years older
The third highlight above means that:
Mary = 15 + k
Substitute b for Mary
b = 15 + k
Subtract k from both sides
b - k = 15
Hence, the correct representation of the statements is b - k = 15
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 The ratio of men to women working for a company is 8 to 5 if there are 135 woman working for the company what is the total number of employees
Answer:
351 employees
Step-by-step explanation:
5x27=135
8x27=216
135+216=351