can you help mw with my work?
Answers
In this problem the function that models the hight is:
\(h(t)=-5t^2+14t+3\)So when the water hits the grownd h=0 so we replace that and solve for t so:
\(0=-5t^2+4t+3\)To solve this expression we can use the cuadratic equation:
\(x=\frac{-4\pm\sqrt[]{16-4(-5)(3)}}{-10}\)and we operate so:
\(\begin{gathered} x=\frac{-4\pm\sqrt[]{76}}{-10} \\ x=\frac{-4\pm8.7}{-10} \end{gathered}\)Now we solve bout of the equation so:
\(\begin{gathered} x_1=\frac{-4+8.7}{-10}=-0.47 \\ x_2=\frac{-4-8.7}{-10}=1.27_{} \end{gathered}\)So the answer that have sense is the secon one so the water hits the ground after 1.27 seconds
Related Questions
What’s the volume of the figure?
Answers
Answer:
4,050 ft^3
Step-by-step explanation:
Separate the figure into a cube and a square pyramid.
Volume of the cube (a^3):
15 x 15 x 15 = 3,375
3,375 ft^3
Volume of the square pyramid (lwh/3):
15 x 15 x 9/3 = 675
675 ft^3
Add the volumes of both figures:
675 ft^3 + 3,375 ft^3 = 4,050
The volume of the whole figure is 4,050 cubic feet.
Hope this helps!
What is 5/7-1/4 in simplest form?
Answers
Work out the value of s
S= ut + ½ at^2
u= 10 a=-2 t=1/2
Work out the value of s.
Answers
Answer:
s = \(\frac{19}{4}\)
Step-by-step explanation:
substitute the given values into the equation
s = (10 × \(\frac{1}{2}\) ) + ( \(\frac{1}{2}\) × - 2 × (\(\frac{1}{2}\) )² )
= 5 + (- 1 × \(\frac{1}{4}\) )
= 5 - \(\frac{1}{4}\)
= 4 \(\frac{3}{4}\)
= \(\frac{19}{4}\)
Please answer the questions and leave an explanation for each part. Thank you in advance!
Answers
a. i Find the graph in the attachment
ii. The vertical asymptotes are at x = 2 and x = 3
iii. we find the vertical asysmtotes by finding the L.C.M of the expression and equating to zero.
b. i. At x = - 1 there is a critical point.
ii. there isn't a vertical asymptote at x = - 1 because it also has a critical point at x = -1.
c. The value of x when y = 0 is x = ±4.796
a i Graph the original equation
The graph of the equation is in the attachment
ii. What are the vertical asymptotes?From the graph, the vertical asymptotes are at x = 2 and x = 3
So, the vertical asymptotes are at x = 2 and x = 3
iii. How we can use the equation to verify the asymptotes?Since y = (x + 5)/(x + 1) ÷ (x + 3)(x - 2)/(x - 4)(x + 1) - 1/(x - 2), we find the vertical asysmtotes by finding the L.C.M of the expression and equating to zero.
So, we find the vertical asysmtotes by finding the L.C.M of the expression and equating to zero.
b. i. What graphical feature occures at x = -1?The graphical feature that occurs at x = - 1 there is a critical point.
So, at x = - 1 there is a critical point.
ii. Why isn't there a vertical asymptote at x = - 1?There isn't a vertical asymptote at x = - 1 because
the factor (x + 1) cancels out in both numerator and denominator and also, from the graph, the function is undefined at x = - 1 and it also has a critical point at x = -1.So, there isn't a vertical asymptote at x = - 1 because it also has a critical point at x = -1.
c. Solve the equation for x when y = 0Since y = (x + 5)/(x + 1) ÷ (x + 3)(x - 2)/(x - 4)(x + 1) - 1/(x - 2), when y = 0, we have
0 = (x + 5)/(x + 1) ÷ (x + 3)(x - 2)/(x - 4)(x + 1) - 1/(x - 2)
(x + 5)(x - 4)(x + 1)/(x + 1)(x + 3)(x - 2) = 1/(x - 2)
(x + 5)(x - 4)/(x + 3)(x - 2) = 1/(x - 2)
(x + 5)(x - 4)/(x + 3) = (x - 2)/(x - 2)
(x + 5)(x - 4)/(x + 3) = 1
(x + 5)(x - 4) = (x + 3)
x² - 4x + 5x - 20 = x + 3
x² + x - 20 = x + 3
x² + x - x - 20 - 3 = 0
x² + 0 - 23 = 0
x² - 23 = 0
x² = 23
x = ±√23
x = ±4.796
So, the value of x when y = 0 is x = ±4.796
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Can you form a right triangle with the three lengths given 5 cm 12 cm 13 cm?
Answers
Yes, A right angled triangle with the three lengths 5 cm, 12 cm, 13 cm is possible.
What is Pythagoras Theorem?In geometry, the Pythagoras theorem states that if a right triangle has side lengths a, b, and c, with c being the longest side, then a²+b² = c². This theorem tells us that all three numbers a, b, and c that satisfy this equation are called Pythagoras numbers, and that if the three numbers are Pythagoras numbers, they can form the lengths of the sides of a right triangle. We have, provide three lengths of sides of a triangle. Let us consider a triangle ABC with side lengths a = 5cm , b = 12 cm and c = 13 cm . We check the ∆ABC is right angled triangle or not , Using Pythagoras theorem,
(a)² = (5)² = 25 , b² = (12)² = 144 and c²= (13)²
a²+ b² = c²
=> a²+ b² = 25 + 144 = 169 = c²
So, Pythagoras triples is satisfied in this case.
Thus, ∆ABC is right angled triangles.
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The zeros of a quartic polynomial function are 2, -2, 4, and -4. Use the zeros to construct a possible sketch of the function on the set of axes
Answers
The sketch of the function on the set of axes is given below:
What are Zeros?The zero of any real-, complex-, or generally vector-valued function f, is a member x of the domain of function such that f(x)=0 at x; x is the solution to the equation f(x) = 0.
Finding the function:As we have the zeros 2,-2,4,-4
The function can be:
\(f(x)=(x-2)(x+2)(x-4)(x+4)\\f(x)=(x^2-4)(x^2-16)\\f(x)=x^4-20x^2+64\)
The sketch using a graphing calculator:
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P = 14.7+
The total pressure, P, in pounds per square inch, f feet below the ocean's surface is given by
the equation above. What is the pressure at the ocean's surface in pounds per square inch?
A) 0
B) 14.7
C) 22.5
D) 331
Answers
The solution is Option B.
The pressure at the ocean's surface is given by the equation A = 14.7 pounds per square inches
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
Now , the value of A is
Substituting the values in the equation , we get
P = 14.7 + ( f/22.5 ) be equation (1)
where P is the total pressure in pounds per inch²
And , f is the height in feet below the ocean's surface
Now , pressure at the ocean's surface is when f = 0
Substitute the value of f = 0 in equation (1) , we get
P = 14.7 + ( 0/22.5 )
On simplifying the equation , we get
P = 14.7 pounds/inch²
Hence , the equation is P = 14.7 pounds/inch²
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Let r and s be the usual generators for the dihedral group of order 8...
Part a)
list the elements of D8 as 1,r,r^2,r^3,s,sr,sr^2,sr^3 and label these with the integers
1,2,...,8 respectively. Exhibit the image of each element of D8 under the left regular representation of D8 into S8....
Answers
Each element of D8 is mapped to a permutation of {1, 2, 3, 4, 5, 6, 7, 8} by considering its action on the labeled generators 1, 2, ..., 8 under composition.
The elements of D8 are 1, r,\(r^2, r^3, s, sr, sr^2, sr^3,\) which we can label with the integers 1, 2, 3, 4, 5, 6, 7, 8 respectively. The left regular representation of D8 into S8 is given by:
1 → (1)(2)(3)(4)(5)(6)(7)(8)
r → (1 2 3 4)(5 6 7 8)
\(r^2\) → (1 3)(2 4)(5 7)(6 8)
\(r^3\)→ (1 4 3 2)(5 8 7 6)
s → (1 2)(3 4)(5 6)(7 8)
sr → (1 8 3 6)(2 7 4 5)
\(sr^2\)→ (1 4)(2 3)(5 8)(6 7)
\(sr^3\) → (1 6 3 8)(2 5 4 7)
Here, each element of D8 is mapped to a permutation of {1, 2, 3, 4, 5, 6, 7, 8} by considering its action on the labeled generators 1, 2, ..., 8 under composition.
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We have exhibited the image of each element of D8 under the left regular representation into S8, represented as a product of disjoint cycles.
The left regular representation of D8 is a homomorphism from D8 to the symmetric group S8, where each element of D8 is represented as a permutation of the set {1, 2, ..., 8}.
Using the generators r and s, we can construct the elements of D8 as follows:
\(r^0\) = 1
\(r^1\)= r
\(r^2\) = rr
\(r^3\) = rrr
\(s^0\)= 1
\(s^1\) = s
\(s^2\) = 1
\(s^3\) = ss
Now, let's apply the left regular representation to each element of D8:
1 → (1 2 3 4 5 6 7 8)
r → (1 2 3 4 5 6 7 8)(1 2)
\(r^2\) → (1 2 3 4 5 6 7 8)(1 3)(2 4)
\(r^3\)→ (1 2 3 4 5 6 7 8)(1 4 3 2)
s → (1 8)(2 7)(3 6)(4 5)
sr → (1 7 3 5)(2 8 4 6)
\(sr^2\) → (1 6 3 2)(4 7 5 8)
\(sr^3\) → (1 5)(2 6)(3 7)(4 8)
Note that we can represent each permutation as a product of disjoint cycles, where each cycle corresponds to an orbit under the action of the permutation. For example, the permutation corresponding to r is a product of two cycles: (1 2) and (3 4 5 6 7 8). This means that r fixes the elements 1 and 2, and permutes the elements 3, 4, 5, 6, 7, and 8 cyclically. Similarly, the permutation corresponding to s is a product of four cycles: (1 8), (2 7), (3 6), and (4 5), which means that s fixes the pairs (1, 8), (2, 7), (3, 6), and (4, 5), and transposes each pair.
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A spinner is divided into five colored sections that are not of equal size: red, blue, green, yellow, and purple. The spinner is spun several times, and the results are recorded below:
Spinner Results
Color Frequency
Red 16
Blue 19
Green 16
Yellow 7
Purple 19
If the spinner is spun 1900 more times, about how many times would you expect to land on purple? Round your answer to the nearest whole number.
Answers
From the given data, we can see that the spinner was spun a total of 16 + 19 + 16 + 7 + 19 = 77 times. Out of these 77 spins, it landed on purple 19 times. So, the experimental probability of landing on purple is 19/77.
If the spinner is spun 1900 more times, we would expect it to land on purple about (19/77) * 1900 = 466.23 times. Rounding to the nearest whole number, we get 466.
So, if the spinner is spun 1900 more times, we would expect it to land on purple about 466 times.
i will mark you brainliest so please help help help!!!!
Answers
Answer:
28,000
Step-by-step explanation:
Answer:
28,000
Step-by-step explanation:
if u multiply 6,827 by 4 u get 27,303 and 208, 000 is way off so is 240, 000 24,000 is off by 3,303 and 28, 000 is off by 697. so it's 28,000.
The measures of the exterior angles of a pentagon are x°, 3x° 5x°, 7x°, and 8x°. Solve for x.
Answers
Answer: x=15
Step-by-step explanation: x+ 3x+ 5x+ 7x+ 8x=360
24x=360
24/24 = 360/24
Someone help me with this I will make you brain
Answers
Answer:
The correct answer is the second choice.
Answer:
2nd Is correct i literally had to study this in college I watched the history channel 24/7 to solve this. Pls brainliest!
Carl had a piece of cake in the shape of an
isosceles triangle with angles 26, 77, and 77. He
wanted to divide it into two equal parts, so he cut it
through the middle of the 26 angle to the midpoint of
the opposite side. He says that because he is dividing
it at the midpoint of a side, the two pieces are
congruent. Is this enough information?
Answers
Answer:
It is not enough information to say that the two pieces of the cake are congruent just because the cut was made through the middle of the 26 degree angle to the midpoint of the opposite side. Congruence means that two figures have the same size and shape, and the angles and side lengths are all congruent. In order to determine congruence, we would need to know more information about the measures of the sides and angles of the original triangle. Without that information, we cannot say for certain whether the two pieces of the cake are congruent or not.
Step-by-step explanation:
What is the point of homework? It just puts more stress on everybody so i dont get it......
whats ur opinion???????️
Answers
Answer:
Homework is needed for students to practice the material they are learning. The more you practice each new concept, the better you get at it, and the faster you do it. By practicing a lot, you also end up memorizing the way to solve problems.
fill in the blank to make the expression x * equivalent to the following c expression : (x << 3) (x << 1)
Answers
To make the expression x * equivalent to the C expression (x << 3) + (x << 1), the blank should be filled with 10.
In the given C expression, (x << 3) represents left-shifting the value of x by 3 bits, and (x << 1) represents left-shifting the value of x by 1 bit. To achieve an equivalent expression using multiplication, we need to determine the multiplication factor that corresponds to the left shifts.
The left shift by 3 bits is equivalent to multiplying by 2 raised to the power of 3, which is 8. Similarly, the left shift by 1 bit is equivalent to multiplying by 2 raised to the power of 1, which is 2.
Therefore, to make the expression x * equivalent to (x << 3) + (x << 1), the blank should be filled with 10, as x multiplied by 10 gives the same result as the given C expression.
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Subtract 8y+7 from 4y-8
Answers
-4y-1
Step-by-step explanation:
If you subtract \({ \green{ \tt{8y + 7}}} \)from \({ \red{ \tt{4y - 8}}}\) then the resultant answer will be as follows
\( \: \: \: \: \: { \red{ \tt{4y - 8}}} \\ - \ \: { \green{ \tt{8y + 7}}} \\ = -{ \blue{ \tt{ 4y - 1}}}\)
Ms. Hartman is packing orders for her soap business. One customer ordered 12 bars of her Orange You Fresh soap. If each bar of soap weighs 4 ounces, how many pounds will this order weigh?
Answers
The weight of the 12 bars of orange fresh soap ordered by a customer is equal to 3 pounds.
Number of Orange bars ordered by one customer = 12
Weight of each bar = 4 ounces
If one bar of soap weighs 4 ounces, then 12 bars will weigh ,
= 12 bars × 4 ounces/bar
= 48 ounces
Relation between pound and ounces we have,
1 pound = 16 ounce
To convert ounces to pounds, we need to divide by the number of ounces per pound, which is 16,
= 48 ounces / 16 ounces/pound
= 3 pounds
Therefore, the order of 12 bars of soap will weigh 3 pounds.
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A certain drug is made from only two ingredients: compound A and compound B. There are 5 milliliters of compound A used for every 4 milliliters of compound
B. If a chemist wants to make 621 milliliters of the drug, how many milliliters of compound A are needed?
Answers
Answer:
884
Step-by-step explanation:
We know the ratio of A to B is 5:8
let x = the multiplier
then
5x = amt of compound A
and
8x = amt of compound B
:
5x + 8x = 884
13x = 884
x = 884/13
x = 68 is the multiplier
therefore
5(68) = 340 millilters of compound A needed
:
:
Confirm our answer. Find the amt of B
8(68) = 544 ml of B
340 + 544 = 884
5 3/8- 4 1/15 thank you if you can help I need a solution
Answers
Here is your Answer !!!
HOPE IT HELPS :)
Answer:
1 37/120
Step-by-step explanation:
I need help, i don't understand
Answers
Answer:
Step-by-step explanation:
the sum of the angles is 360 degrees
you have 3 angles equal to 91
91*3=273
360-273=87
87/3=29
the angle g, or d, is 29
what is f(x) = -2?
a. 3
b.8
c.4
d.0
Answers
Answer:
the answer is a.3!
Step-by-step explanation:
You can find this by finding the value -2 on the graph (x axis) and find what the corresponding y value is! in this case, it is 3.
I hope this helps let me know if you have any questions!
This weekend, Jerome earned 252.50 in all. What was the dollar amount of the meals that Jerome served?
Jerome served $
worth of meals this weekend.
Answers
Using algebra, we conclude that the dollar amount of meals Jerome served this weekend is $1150.
Given: The total amount Jerome earned this weekend is $252.50.
He earned every weekend = $80.
He earned 15% of the cost of meals as tips by serving them.
To find: The cost of meals served by Jerome in this weekend.
The total amount, $252.50, is the sum of the tips amount Jerome earned from serving meals and sum of the amount Jerome earned every weekend. To solve this, we must first translate the conditions of the problem, into an algebraic expression with a variable referring to the unknown quantity. This expression is then converted to an equation to find the value of the unknown quantity.
Let x be the cost of meals that Jerome served this weekend.
The equation for the problem statement becomes
\(\$80 + \frac{15}{100} x = \$252.50\\\\\)
Keeping only the x term on the left side of the equation and constant terms on the right side we get
\(\frac{15}{100} x = \$252.50 - \$80\\\\\frac{15}{100} x = \$172.50\\\\\\\)
Multiply both the sides of the equation by 100
\(\frac{15}{100} x \times 100 = \$172.50 \times 100\\\\15x = \$17250\)
Divide both sides of the equation by 15
\(\frac{15x}{15} = \frac{\$17250}{15}\\\\x = \$1150\)
What is algebra?Algebra is a field of mathematics in which letters are substituted for numbers, and an algebraic equation depicts a scale in which what is done on one side of the scale is likewise done on the other side of the scale, with the numbers acting as constants.
What is an equation?An equation is a mathematical statement that two expressions are equal. If it is an algebraic equation, two algebraic expressions has to have the same value on either side of the equal sign.
What is an algebraic expression?A meaningful collection of numbers, variables, and signs (positive or negative) of operations that must make mathematical and logical sense is referred to as an algebraic expression.
Expressions contain any number of algebraic terms. They use signs of operation like addition, subtraction, multiplication, and division and also do not contain an equality sign (=).
Using algebra, we conclude that the dollar amount of meals Jerome served this weekend is $1150.
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the average rate of change of the height of water in a vase with respect to the volume of water in the base as the volume changes from 2.5 cups to 3.25 cups is inches per cup? what does the average rate of change tell you in this context?
Answers
The average rate of change tell you in this context the volume of water in the base as the volume changes from 2.5 cups to 4.25 cups.
The average rate of change is a mathematical concept used to describe how a change in one quantity affects another quantity.
To calculate the average rate of change, we need to know the height of water in the vase at two different volumes. Let's call the height of water at a volume of 2.5 cups "h1" and the height of water at a volume of 3.25 cups "h2". Then, the average rate of change over the interval from 2.5 cups to 3.25 cups is calculated as:
=> (h2 - h1) / (3.25 - 2.5) = (h2 - h1) / 0.75
This average rate of change tells us how much the height of water changes, on average, for every one cup increase in the volume of water in the vase.
In other words, the average rate of change provides us with a measure of the "slope" of the relationship between the height of water and the volume of water in the vase over the interval from 2.5 cups to 3.25 cups.
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Solve :-7x-6y=4
When x=-3y+8
Answers
And solve for y:
-7(-3y+8)-6y=4
21y- 56-6y =4
15y =60
Y = 60/15 = 4
And then sub y=4 in to our eqn for x to get:
x = -3(4) +8
x = -4
So we have solutions to our equations, x =-4 and y = 4 or in Cartesian form (-4,4)
replace x with x,
-7(-3y+8)-6y=4
21y-56-6y=4
now collect like terms,
21y-6y=4+56
15y=60
divide both sides by 15,
y=4
now replace y with 4 to find x,
x=-3(4)+8
x=-4
Convert the following percent to a simplified fraction or mixed number: 8%
Answers
Answer: 8/100 or 2/25
Step-by-step explanation:
8% is automatically out of 100% so it would be
8/100
and the simplified version would be 2/25
Answer: 2/25
Step-by-step explanation:
Please give me the correct answer.Only answer if you're very good at math.Please don't put a link to a website.
Answers
Answer:
-79.78 (really stinking cold)
Step-by-step explanation:
Solving the equation will go like this:
5/9(F - 32) = -62.1
multiply both sides by 9 to get rid of the fraction
5 (F - 32) = -558.9
divide both sides by 5
F - 32 = -111.78
add 32 to both sides
F = -79.78
I checked the math twice.
Let me know if you have questions.
When multiplying or dividing a negative and a negative, the result will be ___________. *
Answers
Answer:
1. Positive
2. Quadrant 4
Step-by-step explanation:
1. In a one-step equation, there must be an even amount of negatives.
2. Quadrants are numbered
A number ,x, rounded to 2 decimal places is 3.23 write down the error interval for x
Answers
Answer:
3.225 ≤ x < 3.235
Profit And Loss
1. Find the profit percent when 6 pens are sold at the cost price of 9 pens.
Answer stepwise
Answers
0.7% percent is the answer
Question 40 of 40 < - / 1 III View Policies Current Attempt in Progress(a) If A is a 4 x 5 matrix, then the number of leading 1's in the reduced row echelon form of A is at most i . Why? (b) If A is a 4 x 5 matrix, then the number of parameters in the general solution of Ax = 0 is at most i Why? (c) If A is a 5 x 4 matrix, then the number of leading 1's in the reduced row echelon form of Ais at most i . Why? (d) If A is a 5 x 4 matrix, then the number of parameters in the general solution of Ax = 0 is at most i Why?
Answers
Since there are 4 columns in A, there are no free variables, so the number of parameters in the general solution is equal to the number of non-pivot variables, which is at most 4.
(a) If A is a 4 x 5 matrix, then the number of leading 1's in the reduced row echelon form of A is at most 4. This is because the reduced row echelon form of a matrix has the property that each row has at most one leading 1, and there are only 4 rows in this case.
(b) If A is a 4 x 5 matrix, then the number of parameters in the general solution of Ax = 0 is at most 1. This is because the rank of the matrix A cannot be greater than 4, so there are at most 4 pivot variables in the reduced row echelon form of A. Since there are 5 columns in A, there is one free variable, which corresponds to the number of parameters in the general solution.
(c) If A is a 5 x 4 matrix, then the number of leading 1's in the reduced row echelon form of A is at most 4. This is because the reduced row echelon form of a matrix has the property that each row has at most one leading 1, and there are only 4 columns in this case.
(d) If A is a 5 x 4 matrix, then the number of parameters in the general solution of Ax = 0 is at most 4. This is because the rank of the matrix A cannot be greater than 4, so there are at most 4 pivot variables in the reduced row echelon form of A. Since there are 4 columns in A, there are no free variables, so the number of parameters in the general solution is equal to the number of non-pivot variables, which is at most 4.
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