Answer: t₁=1.5-0.5√3 c ≈0.634 c t₂=1.5+0.5√3 c ≈2.366 c
Step-by-step explanation:
h=-8t²+24t+4 h=16 feet t₂=?
\(16=-8t^2+24t+4\\\\16-16=-8t^2+24t+4-16\\\\0=-8t^2+24t-12\\\)
Divide both parts of the equation by -4:
\(0=2t^2-6t+3\)
Thus,
\(2t^2-6t+3=0\)
a=2 b=-6 c=3
D=b²-4ac
D=(-6)²-4(2)(3)
D=36-24
D=12
√D=√12
√D=√(4*3)
√D=2√3
\(t=\frac{-bб\sqrt{D} }{2a} \\\\t=\frac{-(-6)б2\sqrt{3} }{2(2)} \\\\t=\frac{6б2\sqrt{3} }{4} \\\\t_1=1.5-0.5\sqrt{3}\ c \\\\t_2=1.5+0.5\sqrt{3}\ c\)
Determine the product of (4.2 × 10–1) ⋅ (5.7 × 10–1). Write your answer in scientific notation. Question 7 options: A) 239.4 × 10–1 B) 2.394 × 10–1 C) 23.94 × 10–1 D) 239.4 × 10–2
Answer:
Its B
Step-by-step explanation:
B is the proper answer in scientific notation and scientific notation is only one decimal placed
The most common form of scientific notation inserts a decimal point after the first significant digit
Reflect (6,-4) across the -axis. Then reflect the result across the -axis. What are the coordinates of the final point?”
The coordinates of the final point after the reflections across the x-axis twice is (6, -4)
What are the coordinates of the final point?Reflecting a point across the x-axis means that we keep the x-coordinate the same, but change the sign of the y-coordinate.
So reflecting (6,-4) across the x-axis gives us the point (6,4).
Reflecting this result again across the x-axis means that we keep the x-coordinate the same, but change the sign of the y-coordinate again.
So reflecting (6,4) across the x-axis gives us the point (6,-4).
Therefore, the final point after both reflections is (6, -4).
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Katie uses the equation y = 30x + 70 to model the data.what is the meaning of the slope of the linear model
Answer:
Step-by-step explanation:
What is the x - intcrcept for the following equation? y=-3
What is the value of the square root of 2 to the third decimal place?
Answer:
1.414
Step-by-step explanation:
can we express 1,012 as the sum of two consecutive number?
Answer:
Step-by-step explanation:
Let's check if we can express it or not ;
Let the two consecutive number be x and x + 1 .
x + x + 1 = 1012
2x + 1 = 1012
2x = 1011
x = 505.5
Then two consecutive numbers are 505.5 and 506.5
It isn't said that number should be integer ? It can be anything . That is why " yes " would be the correct answer .
Is the equation a linear function?
y = -x + 3 +
Enter your answer and show all the steps that you use to solve this problem in the space provided.
Find the product and explain the process and reasoning.
0.67 x 0.3 =
Answer: 0.201
Step-by-step explanation:(0.67)(0.3)
0.201 The main point to focus on when multiplying decimals is to just treat the decimals normally, as if they were whole numbers by ignoring the decimal points and multiply them together. Then put the decimal point in the answer.
A formula for calculating A, the area of trapezoid, is A = 1/2 h ( b + b ), where h is height of the trapezoid, and b1 and b2 are the lengths of the parallel sides. What is A when h=4 centimeters, b1 = 10 centimeters, and b2 = 5 centimeters ? A. 35 cm 2 B. 30 cm 2 C. 25 cm 2 D. 45 cm 2 ?
The area of the trapezium is 30 square centimeters at the values of h = 4 cm, b = 10 cm, and b' = 5 cm.
We can use the formula for the area of a trapezoid:
A = 1/2 * h * (b + b')
Substituting the given values, we get:
A = 1/2 * 4 cm * (10 cm + 5 cm)
Simplifying the expression inside the parentheses:
A = 1/2 * 4 cm * 15 cm
Multiplying:
A = 30 cm²
Therefore, when h = 4 cm, b = 10 cm, and b' = 5 cm, the area of the trapezoid is 30 square centimeters.
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Gina, Jared, and Edward sat on their grandmother's porch shelling peas for dinner. There were 2 big bowls of peas, and each person shelled an equal amount.
How many bowls of peas did each person shell?
PLSS HELP
Answer: 2/3 bowl
Step-by-step explanation: you divide the 2 bowls by 3 since there are 3 people
How many 11-card hands are possible with a 20-card deck?
There is only 1 possible 11-card hand that can be formed from a 20-card deck.
To determine the number of 11-card hands possible with a 20-card deck, we can use the concept of combinations.
The number of combinations, denoted as "nCk," represents the number of ways to choose k items from a set of n items without regard to the order. In this case, we want to find the number of 11-card hands from a 20-card deck.
The formula for combinations is:
nCk = n! / (k!(n-k)!)
Where "!" denotes the factorial of a number.
Substituting the values into the formula:
20C11 = 20! / (11!(20-11)!)
Simplifying further:
20C11 = 20! / (11! * 9!)
Now, let's calculate the factorial values:
20! = 20 * 19 * 18 * ... * 2 * 1
11! = 11 * 10 * 9 * ... * 2 * 1
9! = 9 * 8 * 7 * ... * 2 * 1
By canceling out common terms in the numerator and denominator, we get:
20C11 = (20 * 19 * 18 * ... * 12) / (11 * 10 * 9 * ... * 2 * 1)
Performing the multiplication:
20C11 = 39,916,800 / 39,916,800
Finally, the result simplifies to:
20C11 = 1
Consequently, with a 20-card deck, there is only one potential 11-card hand.
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CAN SOMEONE PLEASE HELP ME WITH THIS QUESTION I NEED TO TURN IT IN TODAY
Answer:
The answer is 833.65384615385
Step-by-step explanation:
make e the subject
e-5=2f
Answer:
e-5=2f
take '-5' to the other side where '2f' is
e=2f+5
can someone please help me with this ?
You need to match them in straight horizontal lines
Step-by-step explanation:
You need to replace the coordinates in the equations.
For example let's take (-6,-9) first. - 6 is the x coordinate and - 9 is the y coordinate. Let's replace it in the different equations and see which one is accurate.
Y = 2/3 x - 5 = 2/3×(-6) - 5 = - 9
(we were supposed to get y as - 9 and therefore this one is correct)
Our first match —> (-6,-9) & y = 2/3x - 5
Next coordinate, (-9,-11.5)
Replace in second because we found the first one already.
Y = 1/2 x - 7 = 1/2×(-9) - 7 = - 11.5
(y is supposed to be -11.5 so this one is correct too)
(-9,-11.5) & y = 1/2x- 7
Next coord, ( 4,-1)
Y = 6/8×(4) - 4 = - 1
(woah this one is correct too haha, why are they in the exact order-)
(4,-1) & y = 6/8 x - 4
Last ones left are the last two obviously but we can cross check.
Y = 4/8×(-8) + 1 = -3
Correct.
(-8,-3) & y = 4/8 x + 1
A theater sells t tickets at a price of p dollars each. The theater conducts a survey and predicts that if the price of each ticket is changed by $2, the number of tickets sold will change by 15 tickets. If n is the number of times the theater changes the ticket price by $2, the expression (p+ 2n) (t-15n) can represent the theaters's total revenue, in dollars. In this expression, what does (t-15n) represent?
A. the number of tickets that the theater will sell If the ticket price is increased by $2
B. the number of tickets the theater will sell if the ticket prices increased by $2n
C.the number of tickets the theater will sell if the ticket price is decreased by $15
Answer:
B
Step-by-step explanation:
You have to look at the second term to be sure of the meaning of t - 15n
What the given term says is that the total number of tickets sold (p) will decrease by 15 times the number of increases that there are.
The other term says that the cost of 1 ticket will increase that each ticket will increase by 2 dollars for each change in the ticket prices providing that change is 2 dollars.
C is out of the question. The information talks about 2 dollars per increase which is the first term.
A is not quite correct. It implies there is exactly 1 ticket increase. The crorect answer is the ticket increases can be a number of times (n)
The answer is B
Answer:
The answer is B
Step-by-step explanation:
\(tanx^{2} -\frac{1}{3} =0\)
These are expression written as a function of sine, cosine and tangent. The value of x from the given function is 4.29
Trigonometry expression
These are expression written as a function of sine, cosine and tangent.
Given
tanx² - 1/3 = 0
Add 1/3 to both sides
tanx² - 1/3 + 1/3 = 0 + 1/3
tanx² = 1/3
x² = arctan(1/3)
x² = 18.44
x =4.29
Hence the value of x from the given function is 4.29
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Find two positive real numbers whose product is a maximum.
The sum of the first and three times the second is 42.
Answer:
21, 7
Step-by-step explanation:
1st number = x, 2nd number = y
Given x + 3y = 42 (1)
find maximum value of xy.
Multiply by x on (1), get
x^2 + 3xy = 42x
3xy = -x^2 + 42x = -(x^2 - 42x)
Make a perfect square,
3xy = -(x^2 - 42x + 21^2) + 21^2
3xy = 21^2 - (x - 21)^2
Note (x - 21)^2 is non-negative, so when x = 21, the right hand side has a maximum value of 21^2, so xy is a maximum.
Use (1) and x = 21, we get 21 + 3y = 42, 3y = 21, y = 7
Hence, the two positive real numbers are 21 and 7
Alberto changes 800 Argentine pesos (ARS) into dollars (S) when the rate is S1 - 3.8235 ARS
He spends $150 and changes the remaining dollars back into pesos when the rate is
SI - 3.8025 ARS.
Calculate the amount Alberto now has in pesos.
Answer:
Alberto now has 225.23 pesos
Step-by-step explanation:
800 (ARS) / 3.8235 = x(s)
x = 209.23 dollars (s)
209.23 dollars (s) - 150 dollars (s)
= 59.23 dollars (s)
59.23 * 3.8035 = 225.23 (ARS).
A cone has a diameter of 16 cm and a height of 35 cm. What is its volume?
Answer: if with 3.14 v= 37512.5333
if with pi v= 37531.56
Step-by-step explanation:
the formula is 1/3hπr^2
r= 2d so radius is 32
plus numbers in (square it multiple times pi or 3.14 then multiply times height and divide by 3)
John ran up and $88 Bill last Saturday the service was excellent so we decided to leave a 30% tip for the waitress how much was his tip
$26.40
ten percent is 88 divided by 10= 8.8
8.8 multiplied by 3 is 26.40
G
Where in the museum did Jake and Summer agree to meet?
at the Venus De Milo statue
at the museum cafe
in the Denon wing
at the portrait of the Mona Lisa
What’s the answer
Answer:
A) at the Venus De Milo statue
Step-by-step explanation:
do it
Jake and Summer agreed to meet in this specific part of the museum in the story Teen detectives:
At the Venus De Milo statue
Teen detectives storyThis is a reading comprehension activity about the story Teen detectives, which follows the adventures of Jake and Summer.
Reading comprehensionIn reading comprehension exercises, you have to read the text or story carefully, then read the exercise's instructions and finally select the key words that can help you understand the whole story better.
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For any positive integer n, the value of n! is the product of the first n positive integers. For example, 4! = 4 * 3 * 2 * 1 =24. What is the greatest common divisor of 5! and 7! ?
The GCD of 5! and 7! is 2^3 * 3^1 * 5^1 = 120.
the greatest common divisor of 5! and 7! is 120.
To find the greatest common divisor (GCD) of 5! and 7!, we need to factorize both numbers and identify the common factors.
First, let's calculate the values of 5! and 7!:
5! = 5 * 4 * 3 * 2 * 1 = 120
7! = 7 * 6 * 5 * 4 * 3 * 2 * 1 = 5,040
Now, let's factorize both numbers:
Factorizing 120:
120 = 2^3 * 3 * 5
Factorizing 5,040:
5,040 = 2^4 * 3^2 * 5 * 7
To find the GCD, we need to consider the common factors raised to the lowest power. In this case, the common factors are 2, 3, and 5. The lowest power for 2 is 3 (from 120), the lowest power for 3 is 1 (from 120), and the lowest power for 5 is 1 (from both numbers).
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I need the area choices below
Answer:
Area of the shape is 244.98cm² is B
Step-by-step explanation:
Area of shape=Area of semi circle+Area of trapezoid
A=1/2 πr² + 1/2(a+b)h
A=1/2×3.142×7² + 1/2(14+18)10.5
A=1/2×3.142×49 + 1/2×32×10.5
A=76.98+168
A=76.98+168
A=244.98cm²
A triangle has vertices (0, 2), (3, 1), and (6.2). What is the approximate perimeter of the triangle? Round your answer to the nearest hundredth.
Answer:
6 + 2√10 units.
Step-by-step explanation:
We can use the distance formula to find the distance between the points. The points are ,
(0,2)(3,1)(6,2)Distance 1 :-
=> D₁ = √{ (x₁ - x₂ )² + ( y₁ - y₂ )² }
=> D₁ = √{ (0-3)² + (2-1)² }
=> D₁ = √{ 3² + 1² }
=> D₁ = √{ 9+1}
=> D₁ = √10
Distance 2:-
=> D₂ = √{ (x₁ - x₂ )² + ( y₁ - y₂ )² }
=> D₂ = √{ (6-3)² + (2-1)² }
=> D₂ = √{ 3² + 1² }
=> D₂ = √{ 9 + 1}
=> D₂ = √10
Distance 3 :-
=> D₃ = √{ (x₁ - x₂ )² + ( y₁ - y₂ )² }
=> D₃ = √{ (6-0)²+(2-2)²
=> D₃ = √6²
=> D₃ = 6
→ Perimeter = D₁ +D₂ + D₃
→ Perimeter = √10 + √10 + 6
→ Perimeter = 6 + 2√10 units
Hence the perimeter is 6+2√10 units.What is the HCF of 27 and 15
Answer:
3
Step-by-step explanation:
Answer: 3
Step-by-step explanation:
5x3=15 and 3x9=27 so it’s 3.
solve the inequality and graph the solution.
4 |3x + 5| ≤ 16
The solution to the inequality is -3 ≤ x ≤ -1/3
Solving inequality with modulusGiven the inequality:
4|3x+5| ≤ 16
Let us simplify it by dividing both sides by 4 to get:
|3x+5| ≤ 4
Next, we can break the inequality into two cases, depending on whether 3x+5 is positive or negative:
First: 3x+5 ≥ 0
In this case, the inequality simplifies to:
3x+5 ≤ 4
Subtracting 5 from both sides, we get:
3x ≤ -1
Dividing by 3 (which is positive) gives:
x ≤ -1/3
Second: 3x+5 < 0
In this case, the inequality simplifies to:
-3x-5 ≤ 4
Adding 5 to both sides, we get:
-3x ≤ 9
Dividing by -3 (which is negative and requires us to flip the inequality), gives:
x ≥ -3
Therefore, the solution to the inequality is:
-3 ≤ x ≤ -1/3
The interval [-3,-1/3] is the solution set, and it includes all values of x between -3 and -1/3, including the endpoints.
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Which quadratic equation models the main cable
of the bridge correctly?
O y=0.048x^2 – 2494
y = 0.048x^2-6
y = 0.0048(x - 50)^2 + 6
y=0.0048(x - 6)^2 + 50
Answer:
Y=0.0048(x-50)^2 + 6
Step-by-step explanation:
Someone got my answer deleted but it is right on edge, and i am sure because i took this problem already :)
Answer:
Option C is your answer Y=0.0048(x-50)^2 + 6
Step-by-step explanation:
Just completed it.
PLEASE HELP WILL GIVE BRAINLIEST
The value of n that satisfies the given polynomial expression is 10
Simplifying a polynomial expressionFrom the question, we are to determine determine the corresponding value of n in the simplified expression.
The given expression is
(12x⁵ + 6x³ + x) - (x + 26)(2nx² + 1)
First, we will simplify this expression
(12x⁵ + 6x³ + x) - (x + 26)(2nx² + 1)
(12x⁵ + 6x³ + x) - (2nx³ + x + 52nx² + 26)
(12x⁵ + 6x³ + x - 2nx³ - x - 52nx² - 26)
Simplify further
(12x⁵ + 6x³ - 2nx³ - 52nx² - 26)
(12x⁵ + (6 - 2n)x³ - 52nx² - 26)
By comparison with (12x⁵ - 14x³ - 520x² - 26)
(6 - 2n)x³ = - 14x³
and
- 52nx² = - 520x²
Solve (6 - 2n)x³ = - 14x³ for n
(6 - 2n)x³ = - 14x³
6 - 2n = - 14
6 + 14 = 2n
20 = 2n
n = 20/2
n = 10
Similarly,
Solve - 52nx² = - 520x² for n
52n = 520
n = 520/52
n = 10
Hence, the value of n is 10
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the graph shows two points from the table representing a proportional relationship. Which point corresponds to the last entry in the table?
Answer:
Step-by-step explanation: second point correspond to the last entry in the table
Solve the following equation by first writing the equation in the form ax^2 = C:
t² - 490
a. t = 49
b. t = +49
C. t = 7
d. t = +7
Answer: c.) t = 7
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
edge 2021