Answer:
Before coming back up to the surface the maximum depth, Cassidy went was 6.25 ft. below the water surface
Step-by-step explanation:
The height of Cassidy's diving platform above the water = 6 ft.
The equation that models her dive is d = x² - 7·x + 6
Where;
d = Her vertical position or distance from the water surface
x = Here horizontal distance from the platform
At Cassidy's maximum depth, we have;
dd/dx = d(x² - 7·x + 6)/dx = 2·x - 7 = 0
x = 7/2 = 3.5
∴ At Cassidy's maximum depth, x = 3.5 ft.
The maximum depth, [tex]d_{max}[/tex] = d(3.5) = 3.5² - 7 × 3.5 + 6 = -6.25
The maximum depth, Cassidy went before coming back up to the surface = [tex]d_{max}[/tex] = -6.25 ft = 6.25 ft. below the surface of the water.
The measures of the angles of a triangle are shown in the figure below. Solve for x.
Answer:
x = 25
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Geometry
All angles in a triangle add up to 180°Step-by-step explanation:
Step 1: Set Up Equation
29° + (4x + 9)° + (x + 17)° = 180°
Step 2: Solve for x
Combine like terms: 5x + 55 = 180Isolate x term: 5x = 125Isolate x: x = 25
Which of these statements correctly compares the graphed function f(x) to the function
g(x)= x/2 +5
Answer: g= x+10/2x
Step-by-step explanation: Here a picture if you see it, hope this help
Line R T is a perpendicular bisector of Line segment U V. Line R T is a perpendicular bisector of line segment U V. The lines intersect at point S. Line segment U S and S V are congruent. What is true of any triangle created by points U, V, and any point on Line R T other than S? It will be a right triangle. It will be an acute triangle. It will be an equilateral triangle. It will be an isosceles triangle.
Answer:
D
Step-by-step explanation:
Answer:
D. It will be an isosceles triangle.
Explanation: This is the correct answer on Edge 2021, just took the quiz. Hope this helps ^-^.
write an equation in slope intercept form given slope and point for following (9,-4) slope 2/3 please helpppp
Answer:
y=2/3x -10
Step-by-step explanation:
y= m x + b
m=slope
slope = 2/3
b= y-intercept
plot point (9,-4) and count down two, left three, until reach y axis.
How can I find the answer for number 1 and 4 with explanation?
Answer:
Concept: Sequences & Series
The hint here is to try to find the common factor, you asked us to solve 1 so see the solution below.
1,-3,9, -27 : We see a common base of 3 hence we can find that the series representation is [tex]( - 3) ^{n-1} [/tex]Next we can find the next 3 terms by just plugging in the values
We want the 6th, 7th, and 8th term
So we plug 6 in for n and 7 in for n and 8 in for n
So we get the 6th term=-243
The 7th term= 729
The 8th term= -2187
Answer:
Step-by-step explanation:
1) 1 , -3 , 9 , -27 , 81 ,...........
It is Geometric sequence
ratio = 2 term ÷ first term = -3 ÷ 1 = -3
1st term = 1
2nd term = 1 * -3 = -3
3rd term = -3 *(-3) = 9
4th term = 9 *(-3) = - 27
6th term = 81 *(-3) = -243
7th term = -243 *(-3) = 729
8th term = 729 *(-3) = -2187
Next 3 terms: - 243 , 729 , - 2187,....
4)
[tex]\frac{1}{2}, \frac{1}{2} , \frac{3}{8} , \frac{1}{4} ,\frac{5}{32},.....\\\\\\Rule = \frac{n}{2^{n}}\\Term1 = \frac{1}{2^{1}}=\frac{1}{2}\\\\Term2 = \frac{2}{2^{2}}=\frac{2}{4}=\frac{1}{2}\\\\Term3 = \frac{3}{2^{3}}=\frac{3}{8}\\\\Term4 = \frac{4}{2^{4}}=\frac{4}{16}=\frac{1}{4}\\\\Temr5 = \frac{5}{2^{5}}=\frac{5}{32}\\\\Term6 = \frac{6}{2^{6}} = \frac{6}{64} = \frac{3}{32}\\\\Term7 = \frac{7}{2^{7}}=\frac{7}{128}\\\\Term8 =\frac{8}{2^{8}} = \frac{8}{256}=\frac{1}{32}\\\\[/tex]
Next 3 terms are : 3/32 , 7/128 , 1/32
Sean mixes coconut oil with several other ingredients to make homemade toothpaste for his dog Rocky. He uses 1/2 cup of coconut oil to make 2/3 cup of toothpaste. How much coconut oil does Sean use per cup of toothpaste?
Answer:
3/4 cup of coconut
Step-by-step explanation:
Given:
[tex]\frac{1}{2}[/tex] cup of coconut for [tex]\frac{2}{3}[/tex] cup of toothpaste
Required
Determine how much oil for a cup of toothpaste
Represent Coconut with C and Toothpaste with T;
So,
When
[tex]C = \frac{1}{2}\ \ T = \frac{2}{3}[/tex]
We're to solve for
C when T = 1
This can be represented as:
[tex]\frac{1}{2} = \frac{2}{3}[/tex] --- 1/2 to 2/3
[tex]C = 1[/tex]
Cross Multiply:
[tex]C * \frac{2}{3} = \frac{1}{2} * 1[/tex]
[tex]\frac{2}{3}C = \frac{1}{2}[/tex]
Solve for C
[tex]C = \frac{1}{2}/\frac{2}{3}[/tex]
[tex]C = \frac{1}{2}*\frac{3}{2}[/tex]
[tex]C = \frac{3}{4}[/tex]
This means Sean needs 3/4 cup of coconut oil
Answer:
[Picture contains answer]
PICTURE EVIDENCE:
A pound of apple costs $2.50. Represent the cost of n pounds.
Answer:
2.50n
Step-by-step explanation:
If im reading this right you're trying to represent the number of n pounds, so 2.50 * n
say you had 3 pounds:
2.50 (3) = 7.50
Maya bought a new iphone case for $40. Now, it is on sale for $25. Find the percent of change in the
price. Since the new price is less than the original price, this is a percent of decrease.
Step 1: Find the amount of decrease.
Your answer
Step 2: Find the percent of decrease.
PLEASE HELP, I WILL MARK THE FIRST PERSON AS BRAINLIEST!
Answer:
Step 1: $15
Step 2: 38%
Step-by-step explanation:
Step 1:
40 - 25 =15.
Therefore, the price would decrease by $15.
Step 2:
40 multiplied by .38 equals 24.80. You would round that up to 25. If you plugged in 37%, it would equal 25.20, which is over the price. Therefore the price decreased by 38%.
GIVING BRAINLIEST OUT FOR WHOEVER IS CORRECT AND FAST!
Look closely at the screenshot.
Answer:
Yes the standard form is 3 * 10^7+73
3*10^7+7*10+1*3
= 3 * 10^7+73
Step-by-step explanation:
hope this helps,
Please give brainliest if you like my answer,
Have a great day
Answer:
14x10∧8
Step-by-step explanation:
what is the median for 9, 37, 39, 13
Answer:
i'm not sure
Step-by-step explanation:
Answer:
(13+37)/2 = 25
Step-by-step explanation:
Is x = 3 a solution to the equation below? (substitute and check if they equal each other)
2(2x+1)+x=8x+2-3x
need step by step explanation
Answer:
yes
Step-by-step explanation:
2(2(3)+1) + 3= 8(3)+2-3(3)
14+3=24+2-9
17=17
7y+65.7=2 true or false(don't answer that I just don't want this taken down(unless you do actually have the answer) is anyone in the middle of school coming up with random math problems that you know are incorrect but still ask your teacher if they are right anyway? cause same (20 POINTS IF YOU ANSWER AND BRAINLIEST IF YOU ANSWER MY "QUESTION")
It's false and same lol
Solve for y
*show your work *
6y - 3x = 12
1/2 x + 1/4 y = 2
Step-by-step explanation:
if negative sign is there we must add and if positive sign is there subtraction should be written there.....
can anyone answer this?
Use a graphing calculator to graph the function below. What is the
minimum value of the function?
y= 22 + 8x + 7
-13
-9
-6
-3
Answer:
-3
Step-by-step explanation:
Isaac is purchasing two pairs of shoes—one pair for $37.00 and the second pair for $42.00. The state sales tax applied to Isaac’s bill is 7%. How much is Isaac’s total bill? If Isaac uses a coupon entitling him to a 25% discount off the purchase price before tax, how much will his bill be? Assume that a 7% sales tax is applied to the discounted price. Using words, explain how you found the discounted price.
Given that f(x) = x^2 + 16x + 63 and g(x) = x + 9, find f(x) + g()
Answer:
f(x) + g(x) = x² + 17x + 72
If you want to factor that, then it comes out as:
f(x) + g(x) = (x + 8)(x + 9)
Step-by-step explanation:
[tex]f(x) + g(x)\\= x^2 + 16x + 63 + x + 9\\= x^2 + 17x + 72\\= (x + 8)(x + 9)[/tex]
Which ordered pair is a solution to the system of inequalities?
y>−2 and x+y≤4
Answer:-2,-3
Step-by-step explanation:
Gary's pay is $15 per hour. He receives a 6% pay raise.
The question is incomplete, the complete question is;
Gary's pay is $15 per hour. He receives a 6% pay raise.
Which method can Gary use to correctly calculate his new hourly pay rate?
Choose Yes or No for each method.
Answer:
Multiply 15 by 0.06 and add the result to 15 is the correct method
Step-by-step explanation:
Now when you are told to obtain the percentage, it simply means to multiply the given percentage by the number.
Here is what i mean;
6% of 15 simply means
6/100 * 15
Or
0.06 * 15 = 0.9
Since his basic pay of $15 was increased by this percentage, we have to add $0.9 so we have;
15 + 0.9 = $ 15.9
Thomas can process a pile of paperwork in 4 hours less time than Frank. Together they can process the pile in 2.1 hours. How long would it take Frank to do the job alone?
Answer:
F = 7 hours
Step-by-step explanation:
Let the time taken by Frank to work alone be F.
Translating the word problem into an algebraic equation;
Thomas alone takes (F - 4) hours.
Combine time = 2.1 hours
Their individual work rate expressed in piles per hour are;
Frank = 1/F
Thomas = 1/(F - 4)
Combined rate = 1/F + 1/(F - 4)
Simplifying the equation, we have;
Combined rate = (F - 4 + F)/F(F - 4)
Combined rate = (2F - 4)/F(F - 4)
Combined rate = (2F - 4)/(F²- 4F)
Now to find the time taken when they work together is;
(2F - 4)/(F²- 4F) = 1/2.1
Cross-multiplying, we have;
2.1*(2F - 4) = F² - 4F
4.2F - 8.4 = F² - 4F
Rearranging the equation, we have;
F² - 4.2F - 4F + 8.4 = 0
F² - 8.2F + 8.4 = 0
Solving the quadratic equation by factorization;
Factors = -7 and -1.2
F² - 7F - 1.2F + 8.4 = 0
F(F - 7) - 1.2(F - 7) = 0
(F - 7)(F - 1.2) = 0
Therefore, F = 7 or 1.2 hours
The time taken by Frank alone would be 7 hours.
WHATS THE SLOPE BETWEEN THE POINTS (-2,8) AND (4,20)
Answer:
m = 12 / 6 = 2 / 1 = 2
Step-by-step explanation:
help me with my math for brainiest:)
What is the approximate circumference of the circle shown below
Answer: A) 46.5 cm
Step-by-step explanation:
Circumference = 2 π r or Circumference = π d
In this case, they give us the diameter = 14.8 cm. Therefore the radius = 14.8/2 = 7.4 cm.
π ≈ 3.14.
We can use either equation above, but because the diameter was given, we will use c = πd for simplicity.
C = π d
= (3.14)(14.8)
= 46.47 cm, which rounds to 46.5 cm
Choose the number sentence whose product is 5.85. A. 1.7 x 3.5 B. 26 x 2.25 C. 4.5 x 2.3 D. 1.3 x 4.5
Answer:
b
Step-by-step explanation:
Answer:
The actual right answer is D
Step-by-step explanation:
1.3 x 4.5 = 5.85
answer = D
What place value docs the 6 have in 764,328
Answer:
It's in the ten thousands place
Step-by-step explanation:
700,000
60,000
4,000
300
20
8
764,328
Hope this helps. Have a nice day
Answer:
6 is in the ten thousandth place
Write the expanded form
21.061
Answer:
(2 x 10) + (1 x 1) + (0 x 0.1) + (6 x 0.01) + (1 x 0.001).
please help me out! find f(-9)
Answer:
f(-9) = -64
Step-by-step explanation:
Substitute -9 for x:
f(-9) = - (-9)^2 - 4(-9) - 19
= -81 + 36 - 19
= -64
What is the slope of the line perpendicular to the line with equation 4x-5y+13=0
Answer:
m = - 5/4
Step-by-step explanation:
If two lines are perpendicular, their slopes are negative reciprocals, which means that their product is -1
We can write the equation
4*x - 5*y + 13 = 0
as: 5*y = 4*x + 13 or
y = (4/5)*x + 13 (1)
Equation (1) is the equation of a straight line in its slope point form, 4/5 is the slope, according to this the slope of a perpendicular line is
-5/4
plss plss help asap!!!
Answer:
[tex]f(x) = - 2x + 7 \\ f( - 5) = - 2( - 5) + 7 \\ f( - 5) = + 17[/tex]
The sum of x and 6.5 is 11.9. Find
he value of x.
Answer:
5.4
Step-by-step explanation:
Sum = 11.9
One decimal = 6/5
x = 11.9 - 6.5
= 5.4
Therefore x is 5.4 :)