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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X/2-5=25???????
HELP!!!!
Answer:
x = 60
Step-by-step explanation:
X/2-5=25
Add 5 to each side
X/2-5+5=25+5
x/2 = 30
Multiply each side by 2
x/2*2 = 30*2
x = 60
Answer:
60
Step-by-step explanation:
x/2 - 5 =25 /×2
x - 10 =50
x=50 +10
x=60
Austen's graduation picnic costs $2 for every attendee. Write an equation that shows the relationship between the attendees x and the cost y.
Answer:
y=2x
Step-by-step explanation:
x = attendees
y = total of cost for attendees
we know each attendee cost $2 but we don't know how many attendee are there in order to find the total cost y.
Find the value of x for which the lines p and q are parallel.
Answer:
Do you have a picture of the problem, please?
Step-by-step explanation:
Only then, can I edit this and provide an accurate answer! ;D
Answer:
x=7
Step-by-step explanation:
x=7
1
=
Using two pieces of data from the table below, write the equation of a line in slope-intercept form.
-4
0
4
8
12
29
28
27
26
25
A. y = 4x - 28
B. y = - 4x + 28
OC. y= 3x-28
OD. y=x+28
Answer:
D
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (- 4, 29) and (x₂, y₂ ) = (0, 28) ← 2 ordered pairs from the table
m = [tex]\frac{28-29}{0+4}[/tex] = - [tex]\frac{1}{4}[/tex]
The line crosses the y- axis at (0, 28 ) ⇒ c = 28
y = - [tex]\frac{1}{4}[/tex] x + 28 ← equation of line → D
stephon scores 75,75,81,95 on four math tests. what is his mean math test score?
Answer:
should be 81.5
Step-by-step explanation:
Solve the equation. 5+4x-7=4x-2-x
4(2x – 8) = 3(2 – Зх)
Using a spinner, conduct an experiment to compare experimental probability with theoretical probability.
The probability of an event is a number from 0 to 1 that measures the chance that an event will occur. In this lesson, we will look into experimental probability and theoretical probability.
The following table highlights the difference between Experimental Probability and Theoretical Probability. Scroll down the page for more examples and solutions.
he following table highlights the difference between Experimental Probability and Theoretical Probability. Scroll down the page for more examples and solutions.
Experimental vs Theoretical Probability
How to find the Experimental Probability of an event?
Step 1: Conduct an experiment and record the number of times the event occurs and the number of times the activity is performed.
Step 2: Divide the two numbers to obtain the Experimental Probability
How to find the Theoretical Probability of an event?
The Theoretical Probability of an event is the number of ways the event can occur (favorable outcomes) divided by the number of total outcomes.
Eric's cell phone service costs $40.00 a month for unlimited calls. He also pays $0.02 for each text message he sends.
Which equation represents the total cost, C. in dollars, for a month when Eric sends text messages?
O A C = 40.021
O B C = 40 -0.021
OC C = 0.021 - 40
OD. C = 0.021 + 40
Answer:
A. 40.021
Step-by-step explanation:
Unlimited calls = $40
Text message = $0.021
NOTE:There is a difference between the value you gave for cost of text messages in the question and the values given in the group of answers. I will use $0.021 for cost of text messages since it is common to all answer choices.
Total cost = Cost of unlimited calls + cost of text messages
C = $40 + $0.021
= $40.021
Therefore, the equation which represent the total cost in dollars for a month is 40.021
A. 40.021
Answer:
he is right^ A.
Step-by-step explanation:
Isaac wants to buy tomatoes and a loaf of bread. Tomatoes are $1.20 A pound, and a loaf of bread is $2.00. he has $8.00 to spend. How many pounds of tomatoes can he buy? Write the equality to solve the problem let X be the number of pounds of tomatoes.
Answer:
5 pounds of tomatoes
Step-by-step explanation:
5 pounds of tomatoes
8-2=6
6/1.20=5
Write an equation in point-slope form of the line that passes through the point (-8,
2) and has a slope of m = 5.
Answer:
y-2=5(x--8)
Step-by-step explanation:
Formula for point slope form equation: y-y1 = m(x – x1)
After that just plug in the given numbers
Simplify. 3x – 8(x + 4)
Answer:
-5x - 32
Step-by-step explanation:
Use distributive rule : a(b + c) = ab + ac
3x - 8(x + 4) =3x + x*(-8) + 4*(-8)
= 3x - 8x - 32 {combine like terms}
= -5x - 32
Miracle sells 28 dozens of donuts on Wednesday. Each dozen cost $18. How much is one
donut?
2
Answer:
$1.5
Step-by-step explanation:
if each dozen cost $18, we need to divide.......18/12........because 12 is a dozen.
18/12 = 1.5
8x^2+5=22x Need help learning factoring please put work so I can understand
Answer: (2x - 5) • (4x - 1)
STEP 1 : Equation at the end of step 1
(23x2 - 22x) + 5
STEP 2 : Trying to factor by splitting the middle term
2.1 Factoring 8x2-22x+5
The first term is, 8x2 its coefficient is 8 .
The middle term is, -22x its coefficient is -22 .
The last term, "the constant", is +5
Step-1 : Multiply the coefficient of the first term by the constant 8 • 5 = 40
Step-2 : Find two factors of 40 whose sum equals the coefficient of the middle term, which is -22 .
-40 + -1 = -41
-20 + -2 = -22 That's it
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -20 and -2
8x2 - 20x - 2x - 5
Step-4 : Add up the first 2 terms, pulling out like factors :
4x • (2x-5)
Add up the last 2 terms, pulling out common factors :
1 • (2x-5)
Step-5 : Add up the four terms of step 4 :
(4x-1) • (2x-5)
Which is the desired factorization
Final result : (2x - 5) • (4x - 1)
On highway 77, the Dobson exit is halfway between the Mt. Airy exit and the Elkin exit. If the Elkin exit is located at (-5,-2) and the Dobson exit is located at (-1,4), how far is it from the Elkin exit to the Mt. Airy exit.
Given :
The Dobson exit is halfway between the Mt. Airy exit and the Elkin exit. If the Elkin exit is located at (-5,-2) and the Dobson exit is located at (-1,4).
To Find :
How far is it from the Elkin exit to the Mt. Airy exit.
Solution :
E(-5,-2) , D(-1 ,4 ) .
It is also given that Dobson exit is halfway between the Mt. Airy exit and the Elkin exit.
Let , location of Elkin exit is A(h,k) .
So , point D in terms of A and E is given by :
[tex](\dfrac{h-5}{2},\dfrac{k-2}{2})[/tex] .
Comparing it with given D :
[tex]\dfrac{h-5}{2}=-1\\\\h=3[/tex] [tex]\dfrac{k-2}{2}=4\\\\k=10[/tex]
Therefore , the location of Mt. Airy exit is ( 3, 10 ) .
Distance between Elkin exit to the Mt. Airy exit.
[tex]D=\sqrt{(5-3)^2+(-2-10)^2}\\\\D=12.17\ units[/tex]
Therefore , distance between Elkin exit to the Mt. Airy exit is 12.17 units .
Hence ,this is the required solution .
Round to the nearest hundred, and then subtract. 4,623- 3,892
Answer:
700
Step-by-step explanation:4623=4600
3892=3900
4600-3900=700
Answer:
700
Step-by-step explanation:
4623 round to the nearest hundred : 4600
3892 round to the nearest hundred: 3900
4600-3900= 700
Simplify 4 over quantity 2 plus 7 i
Answer:
(8-28i)/53
hope it helps!
Step-by-step explanation:
HELP ME PLZ!!!! I'LL DO ABSOLUTELY ANYTHING, AND I MEAN ANYTHING!!!!!!
Please Help!! 10 points! Brainliest Answer! 2 questions
Answer:
D and C
Step-by-step explanation:
5). 3x + y = 13
5x - 2y =7
Simultaneous linear equation
Answer:
Step-by-step explanation:
6x + 2y = 26
5x - 2y = 7
11x = 33
x = 3
3(3) + y = 13
9 + y = 13
y = 4
(3,4)
Evaluate f(x) = x2 + 3x − 4 when x = 4:
Answer:
f(x)=24
Step-by-step explanation:
Replace x in the function with the value 4.
f(4)= (4)^2 + 3(4) - 4
16 + 12 -4
28 - 4
F(x)= 24
The perimeter of the equilateral triangle shown is 67.5 inches. Write and solve an equation to find the value of x.
Answer:
The answer is 14. Not -14.
Step-by-step explanation:
The value of x for the given triangle will be 14.
What is an expression?The mathematical expression is the combination of numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also be used to denote the logical syntax's operation order and other properties.
Given that the perimeter of the equilateral triangle shown is 67.5 inches. One side of the triangle is 1.75x - 2.
Perimeter = 3 ( 1.75x - 2 )
67.5 = 5.25x -6
x = ( 73.5 / 5.25 )
x = 14
Therefore, the value of x for the given triangle will be 14.
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What is the solution of the following one-step equation?
10. X + 5 = 10
a. X = -15 c. X = 5 b. X = 15 d. x = -5
Answer:
x = 5
Step-by-step explanation:
Given
x + 5 = 10 ( isolate x by subtracting 5 from both sides )
x = 5
please help asap! thanks
Answer:
its the last one i believe
Step-by-step explanation:
because u have to get m by its self so
you divide 5 square from both sides and boom
if f(x) = 2x+4 find the values of x so that f(x)=24
24 = 2x + 4
2x = 20
x = 10
.......................
Plzzz help!!!! DUE TODAY!!!!! IM DESPERATE!!! WILL GIVE BRAINLIEST!!!!!! Use the values x=−0.5, 0, 1 to prove your solution to the equation 5+x−12=2x−7. In your final answer, include all of your calculations.
5+x-12=2x-7
x=0.5
5+0.5-12=2(0.5)
Can the number 12 be apart of more than one fact family? Explain.
Yes, 12 can be a part of more than one fact family because the fact family 3*4 or 6*2 or 9+3.
Rewrite the function y=3x+8
Answer:
3x-y= -8
Step-by-step explanation:
i believe this answer is correct
What IS the solution to 1−(13q−5)=−6
Answer:
q = 12/13
Step-by-step explanation:
Step 1: Write equation
1 - (13q - 5) = -6
Step 2: Solve for q
Distribute -1: 1 - 13q + 5 = -6
Combine like terms: 6 - 13q = -6
Subtract 6 on both sides: -13q = -12
Divide both sides by -13: q = 12/13
Solve the system of equations.
5x – 7y = 58
y = -x + 2
5x-7y=58
y=-x+2
5x-7(-x+2)=585x+7x-14=5812x-14=5812x=58+1412x=72x=65x-7y=58
5(6)-7y=58
30-7y=58
-7y=58-30
-7y=28
y= -4
Answer:
x = 6, y = -4
Step-by-step explanation:
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