The time taken by the swimmer to reach the lowest depth will be 9 seconds. The correct option is D.
What is an expression?Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.
Given that a swimmer dives straight into the ocean. His depth, d, in meters after t seconds, can be modeled using the equation d = (t - 3)² - 16.
The time will be calculated as below;-
d = ( t - 3 )² - 16.
16 = ( t - 3 )² - 16
32 = ( t - 3 )²
√32 = t - 3
5.67 = t - 3
t = 5.67 + 3 = 8.67 ≅ 9 seconds
Therefore, the time taken by the swimmer to reach the lowest depth will be 9 seconds. The correct option is D.
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If the pattern below follows the rule "starting with 10, every consecutive line has a number 1 less than the previous line," how many marbles must be in the seventh line?
Answer: B: 4
Step-by-step explanation: just took the test
The seventh line will be having 4 marbles which can be determined by taking the given data as an arithmetic progression with the first term as 1 and the common difference -1. Hence, option B is the right choice.
What is an Arithmetic Progression?An arithmetic progression (A.P.) is a series where every term is the sum of the previous term and a common difference.
The first term of an arithmetic progression is denoted by a, and its common difference is denoted by d. The n-th term of an arithmetic progression can be found using the formula
n-th term = a + (n-1)d.
How do we solve the given question?We are given a pattern, starting with 10 marbles and every consecutive line has 1 less marble than the previous line. We are asked to find the number of marbles in the 7th line.
This can be seen as an arithmetic progression with the first term a = 10, and the common difference d = -1.
We are asked to find the number of marbles in the 7th line. This can be taken as the 7th term of the given arithmetic progression.
n-th term = a + (n-1)d
or, 7th term = 10 + (7-1)(-1) = 10 + 6(-1) = 10 - 6 = 4.
∴ The seventh line will be having 4 marbles which can be determined by taking the given data as an arithmetic progression with the first term as 1 and the common difference -1. Hence, option B is the right choice.
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100 students went on a field trip. 6 buses were filled and 10 students traveled to the destination in cars with their parents. How many students were on each bus?
Answer:
15 students on each bus!
Step-by-step explanation:
100-10(with parents)
90÷6(how many busses)
15 students on each
The students travelling on each bus are 15.
What are arithmetic operations?The arithmetic operations are the fundamentals of all mathematical operations. The example of these operators are addition, subtraction, multiplication and division.
Total number of students is given as 100.
The students to travel on car are 10.
Then, the students to travel on bus are given by following operation as,
Total students - Students to travel on car
⇒ 100 - 10 = 90
Now, the students on each bus can be obtained by using the division operation as below,
Students to travel on bus ÷ Total number of bus
⇒ 90 ÷ 6 = 15
Hence, the number of students on each bus is obtained as 15.
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find the missing value
We can write a ratio:
15/5 = 36/x
Let "x" equal the unknown part of the triangle.
Solution:
15/5 = 36/x
~Cross multiply
15x = 180
~Divide 15 to both sides
x = 12
Best of Luck!
A zoo has 1,361 visitors on Saturday and 549 visitors on Sunday. What is the best estimate of the total number of visitors?
Answer:
1,900
Step-by-step explanation:
Answer:
1900 is my pick
Step-by-step explanation:
3<5+6h<10
please do step by step
Answer:
see explanation
Step-by-step explanation:
Given
3 < 5 + 6h < 10 ( subtract 5 from each interval )
- 2 < 6h < 5 ( divide each interval by 6 )
- [tex]\frac{1}{3}[/tex] < h < [tex]\frac{5}{6}[/tex]
Please help me with this question ASAP Inequalities 9+3/5x>81/5
Answer:
9+3/5x-(81/5)=0
Step-by-step explanation:
POSSIBLE POINT
Evaluate each expression if a = 4, b = 6, and c = 2
What is
ab - c
3x-2=7????????????????
Answer:
x=3
Step-by-step explanation:
Step 1: Add two to 7 and inverse the minus 2
3x=7+2 3x=9
Step 2: Divide each number by 3.
3x/3=x and 9/3=3
so x=3
I really really need help with this question!!! I do not know how to write it and everywhere else I've looked for help with this tries to make me pay to get help and an understanding. Will someone please help me with this???? I will give you "brainliest." I just REALLY need help with this one question. Someone please help me!!!
Answer: for part c the gas would not remain a liquid.
Step-by-step explanation: Because as stated, the tempature dropped to -49 degrees farhenheit, and for instance, oxygen, a gas, becomes a liquid if you cool it down to - 297 degrees Fahrenheit (really, REALLY cold) and if you cool it down further to -362 degrees Fahrenheit it becomes a solid, so therefore it definetly couldnt stay a liquid if the temp raised so high. it would seconense back.
i do not know if this is correct but i did try so i am deeply sorry if this fails.
Which of the following statements best describes the value of the expression 8x – 5, when x = 3? A. The result is not a whole number. B. The result is a prime number. C. The result is a composite number. D. The result is a whole number that is neither prime nor composite. help lol
Answer:b
Step-by-step explanation:8 times 3 is 24 minus 5 is 19. prime numbers are 1 times itself so its B and composite numbers are like four 2 times 2 and 4 times 1.
Answer: B
Step-by-step explanation: When you insert the 3 in place of x, the equation is 8(3)-5 which equals 19. Composite means that numbers can be multiplied to get it. For example, the number 12. You can multiply 3 and 4 or 2 and 6 to get it, making it a composite number. For a number to be prime, the only numbers that can be multiplied to get it is 1 and itself. Let's use the number 3 as an example. The only way you can get 3 by multiplying is by multiplying 1 and 3 (1 and itself as said before). Hope this helps!
can anyone help me with this?
h = -4.9t^2 + vt
In our problem,
v = 12
t = 2
Let's plug our numbers into the equation.
h = -4.9(2)^2 + (12)(2)
h = -19.6 + 24
h = 4.4 m
Evaluate the expression for g = 3. Write your answer as a decimal or whole number. 39(–0.5g + 2)^2 =
Answer:
9.75
Step-by-step explanation:
instructions in pic :)
Answer:
9.75
Step-by-step explanation:
g = 3
39(-0.5g + 2)²
plug in g
39(-0.5•3 + 2)²
solve within parentheses
39(-1.5 + 2)²
39(0.5)²
solve the exponent
39(0.25)
multiply
9.75
simplify 3x+6=18, please
Answer:
x = 4
Step-by-step explanation:
Step 1: Write out equation
3x + 6 = 18
Step 2: Subtract 6 on both sides
3x = 12
Step 3: Divide both sides by 3
x = 4
Answer:
4
Step-by-step explanation:
3x +6 =18
3x =18 - 6
3x =12
x =12 :3
x =4
Which expression is equivalent to (X^5 +2X^2−4)−(−5X^5−3X^2+2X−7)?
Answer:
6[tex]x^{5}[/tex] + 5x² - 2x + 3
Step-by-step explanation:
Given
([tex]x^{5}[/tex] + 2x² - 4) - (-5[tex]x^{5}[/tex] - 3x² + 2x - 7)
Remove the parenthesis on the first factor and distribute the second by - 1
= [tex]x^{5}[/tex] + 2x² - 4 + 5[tex]x^{5}[/tex] + 3x² - 2x + 7 ← collect like terms
= 6[tex]x^{5}[/tex] + 5x² - 2x + 3 ← in standard form
A car covers a distance of 14.75km in 20 minutes. In how many seconds, will it cover a distance of 73.75km
Answer:
6000 seconds.
Step-by-step explanation:
Given:
A car covers a distance of 14.75km in 20 minutes.
find:
In how many seconds, will it cover a distance of 73.75km
solution:
the idea is ratio and proportion to get the time based on 73.75 km from 14.75km./20min. in seconds.
14.75 km. = 73.75 km --------> cross multiply
20 min. t
14.75 (t) = 73.75 (20)
14.75 (t) = 1475
t = 1475
14.75
t = 100 min. -----------> convert min to seconds.
100 min. x 60 secs. = 6000 seconds
1 min.
therefore,
the time in seconds to travel a distance of 73.75 km is 6000 seconds.
For each triangle below find the side that marked with the letter
Soh coh toa please please
Answer:
Step-by-step explanation:
Answer: All to 1 decimal place
3) a = 11.4
4) b = 11.2
5) c = 4.5
6) e = 6.4
7) f = 30.8
8) g = 67.9
Step-by-step explanation:
3) cos(18) = a/12
12xcos(18) = a
a = 11.4
4) tan(25) = b/24
b = 24xtan(25)
b = 11.2
5) cos(51) = c/7.2
c = 7.2xcos(51)
c = 4.5
6) sin(28) = e/13.6
e = 13.6 x sin(28)
e = 6.4
7) cos(47) = 21/f
f = 21/cos(47)
f = 30.8
8) sin(33) = 37/g
g = 37/sin(37)
g = 67.9
All to 1 decimal place
A square has a perimeter of 28 ft. What is the length of each side?
Answer:
7 Centimeters (CM)
Step-by-step explanation:
You want to divide the perimeter by 4 to find the individual lengths. (28/4) Therefore each side of the square is 7cm long.
You are increasing all sides by a scale factor of 3.
This gives each side a length of 21cm
Hope this helped!
Answer:
7ft
Step-by-step explanation:
A square has 4 congruent sides so that means all sides are the same.
28 ÷ 4 = 7
I NEED HELP ASAP PLEASEEEE
Evaluate the expression for m = –38.
–23(m + 39) =
Answer: -23
Step-by-step explanation:
Since we are given the value of m, all we have to do is to plug m into the expression and solve.
-23(-38+39) [parenthesis]
-23(1) [multiply]
-23
Now, we know that the expression is -23 when m=-38.
6+(-6) what is the answer to this I’m confused and I have test about this tommorow
Answer: The answer is 0
WILL GIVE BRAINLIEST!!!! Which choice is this explicit formula for the following geometric sequence
Answer:
c
Step-by-step explanation:
im doing apex too lol just got the answer right
A worker finds that it takes 9 tiles to cover one square foot of floor. Which equation represents relationship between the square feet (f) and the number of tiles
Lindsey started a savings account with $260. After 4 weeks, she has $315 dollars. After
8 weeks, she had $370. What is the rate of change of money in her savings account per
week?
Answer:
$13.75
Step-by-step explanation:
0 weeks = 260
4 weeks = 315
8 weeks = 370
Every 4 weeks, the rate of change is $55 as can be seen by 315 - 260 = 55 and 370 - 315 = 55.
Per week, the rate of change is $13.75 This is because $55 ÷ 4 weeks = rate of change per week
55 ÷ 4 = 13.75
pls help me find the slope of the mountain that descends 100 meters for every horizontal distance of 1000 meters
Answer:
Step-by-step explanation:
wish i can help but can u raise the points to 10 atleast
what's -8+(-8)+(-9) and what is a negative number whose absolute value is greater
can someone help me with this please
Answer:
I think the answer is E.
Step-by-step explanation:
-3 -4= -7 and that's less than nine.
if x was 3 it would be -7 + 3 = -4 which is still less than nine
if x was -11 it would be -7 -11 = -18 which is also lower than nine
if x was -3 it would be -7 -3 = -10 that's less than nine as well
Answer:
I only
Step-by-step explanation:
I) 3
9 > -3 - 4(3)
9 > -3 - 12
9 > -15
9 is great than -15 so the value of 3 works.
II). -11
9 > -3 - 4(-11)
9 > -3 +44
9 > 41
9 is actually less than 41 so the value of -11 does not work
III). -3
9 > -3 - 4(-3)
9 > -3 + 12
9 > 9
9 is equal to 9, not greater than so the value of 3 does not work
can someone help me i'm having trouble with this
Answer: it should be D i hope this helped (if it did let me know)
which algebraic rule will produce a translation that is 5units to the right?
Answer:
(x, y) --> ( x+5, y)
Step-by-step explanation:
In “The Raven and the First Men: The Beginnings of the Haida,” which evidence best helps the reader infer that the Haida might find it acceptable behavior to play tricks on one another?
Answer:
The story presents Raven's trick against the Sky Chief in a matter-of-fact manner.
Step-by-step explanation:
The myth shows what they find valued or acceptable in their culture.
help me answer this question please need asap
Answer:
what is the question
Step-by-step explanation:
Answer:
hey
Step-by-step explanation:
its me makayla my account got blocked so this is my new one
Please help, appreciated!
Answer:
-8
Step-by-step explanation:
-4 | 5+m|
Let m = -3
-4 | 5+-3|
Solve inside the absolute values first
-4 |2|
The absolute value of 2 is 2
-4 * 2
-8
Answer:
the value of the expression is -8
Step-by-step explanation:
-4|5+m|Substitute m = -3 in the expression -4|5+(-3)|-4|2|the absolute value of 2 is 2 so -4(2)-8