In quartic equation, The player will catch the ball on its way down, at about 4.346 seconds. .
What is the quartic equation's formula?
It might be argued that using this formula makes it possible to solve the quadratic with a pencil. Ax4 + bx3 + cx2 + dx + e = 0 is an analogous formula for the generic quartic equation.h = -16t2 + 70t + 4
We want to know how many seconds it takes for the ball to be 6 feet above the ground.
We want to know the value of t when h = 6 . So plug in 6 for h and solve for t .
6 = -16t2 + 70t + 4 Subtract 6 from both sides of the equation.
0 = -16t2 + 70t - 2 Let's solve this quadratic equation using the quadratic formula.
t = -70 ± √70² - 4( -16)(-2)/2(-16)
t = -70 ± √4900 -128/ -32
t = -70 ± √4772/ -32
t = -70 + √4772/ -32 ≈ 0.029
t = -70 - √4772/ -32 ≈ 4.346
So we know that
(a) at 0.029 seconds, the ball is 6 feet above the ground and on its way up, and
(b ) at 4.346 seconds, the ball is 6 feet above the ground and on its way down.
The player will catch the ball on its way down, at about 4.346 seconds.
Learn more about quartic equation
brainly.com/question/13741193
#SPJ1
Measurements are made at two different times. Find the absolute change and then find the percentage change. Round answers to the
nearest tenth if necessary.
The population of Placerville grew from 4360 a decade ago to 6590 today.
Select one:
a. Absolute change: 2230
Percentage change: 51.1%
b. Absolute change: -2230
Percentage change: 51.1%
c. Absolute change: 33.8%
Percentage change: 2230
d. Absolute change: 2230
Percentage change: 33.8%
Clear my choice
Answer:
A
Step-by-step explanation:
4360+(4360(0.511)) Equals 6590 when rounded up
The correct answer is Absolute change: 2230 and Percentage change: 51.1%. So, correct option is A.
To calculate the absolute change and percentage change, we need to subtract the initial measurement from the final measurement and then calculate the percentage change relative to the initial measurement.
Given that the population of Placerville grew from 4360 a decade ago to 6590 today, we can calculate the absolute change as follows:
Absolute change = Final measurement - Initial measurement
Absolute change = 6590 - 4360
Absolute change = 2230
Therefore, the absolute change in population is 2230.
To calculate the percentage change, we divide the absolute change by the initial measurement and multiply by 100:
Percentage change = (Absolute change / Initial measurement) * 100
Percentage change = (2230 / 4360) * 100
Percentage change ≈ 51.1%
Hence, the correct answer is:
a. Absolute change: 2230
Percentage change: 51.1%
Therefore, option a is the correct choice.
To learn more about absolute and percentage change click on,
https://brainly.com/question/33942844
#SPJ2
HELP NOW PLS In 5-7 complete sentences, write a real-world situation that can be modeled by the equation. Make it fun by using your name, if you want!
16x=14x+8
Answer:
Step-by-step explanation:
Kate needs to read 2 books over summer vacation. She doesn't have the books yet so she's not sure how many pages are in each book. Kate doesn't want to wait until the last minute to read the books so she is planning to read the same number of pages each day of her summer vacation. If Kate's summer vacation is 72 days long, how can she write a variable expression to represent the number of pages she will need to read each day?
The side lengths of a triangle are 4 inches, 6 inches, and 9 inches. Is this triangle a right triangle?
Answer:
No
Step-by-step explanation:
A right triangle needs to have a right angle in this case this triangle does not. The next answer up is a triangle with 6,8, and 10 inches. This would give you a right triangle.
Also, To check if the sides are a right triangle, check if the sum of the squares of the two smaller sides equals the length of the square of the longest side.
I haven't used triangles in a long time..... so I kinda forget but the little I remember I used. Hope this helps!
Answer: No
Step-by-step explanation: The given side lengths of the triangle are 4 inches, 6 inches, and 9 inches. To determine if the triangle is a right triangle, we can use the Pythagorean theorem.
The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides.
Let's check if the given side lengths satisfy the Pythagorean theorem:
Using the Pythagorean theorem, we can calculate the squares of the side lengths:
4^2 = 16
6^2 = 36
9^2 = 81
Now, let's compare the sum of the squares of the two shorter sides to the square of the longest side:
16 + 36 = 52
81 = 81
Since 52 is not equal to 81, the given triangle is not a right triangle.
7TH GRADE MATH PLESE HELP MEE ITS REALLY CONFUSING FOR ME PLS DO AS ASKED AND MARKING BRINLIST HELP ASAAAAPP!!!!!
Mr. Morris is going to save money and replace his sailboat's mainsail himself. He must determine the area of the mainsail in order to buy the correct amount of material. Calculate the area of the parallelogram to determine how much material should be purchased. Be sure to explain how to decompose this shape into rectangles and triangles. Describe their dimensions and show your work.
Parallelogram with base of 14 feet, height of 12 feet, and triangle base of 3 feet.
Answer:
Are of the parallelogram = 168 square feet
Step-by-step explanation:
I am not sure exactly what the question is asking for since the area of a parallelogram is simply the base x height and both are given
Are = 14 x 12 = 168 square feet
I have attached a picture with the decomposition of the parallelogram into a rectangle and two triangles.
ABCD is the parallelogram with base = 14 and height = 12
ABE and CDF are the two triangles each with base = 3 and height = 12
EBFD is a rectangle
All the dimensions are marked
I hope that helps and if you need any further clarification, please do ask
Determine whether the equation below has a one solutions, no solutions, or an infinite number of solutions. Afterwards, determine two values of xx that support your conclusion.
x+10=5
Given the expression,
x+10=5
Rearrange variables to the left side of the equation,
x = 5 - 10
Calculate the sum or difference,
x = -5
Therefore,
The value of x is = -5
Learn more about event correlation here: brainly.com/question/27669729
#SPJ9
Study these equations:
f(x) = 2x – 8
g(x) = –5x
What is h(x) = f(x)g(x)?
h(x) = 10x2 – 40x
h(x) = –10x2 + 40x
h(x) = –10x + 40
h(x) = 10x – 40
The function composite h(x) = f(x)g(x) is -10x² + 40x.
Option b)-10x² + 40x is the correct answer.
What is the function composite h(x) = f(x)g(x)?Given the functions in the question;
f(x) = 2x - 8g(x) = -5xh(x) = f(x)g(x) = ?Since h(x) = f(x)g(x), replace the function designators in f(x)g(x) with the actual functions.
h(x) = f(x)g(x)
h(x) = ( 2x - 8 )( -5x )
Apply distributive property.
h(x) = ( 2x - 8 )( -5x )
h(x) = 2x(-5x) - 8(-5x)
Perform the operation to remove the parenthesis.
h(x) = -10x² + 40x
The function composite h(x) = f(x)g(x) is -10x² + 40x.
Option b)-10x² + 40x is the correct answer.
Learn more about function composite here: https://brainly.com/question/20379727
#SPJ1
Answer:
The answer is B
Step-by-step explanation:
<3
100+ pts if correct math proofs
Using the two column proof, it has been proved that m∠2 ≅ m∠3
How to use two column proof?
From the given diagram, we can write the two column proof as follows;
Statement 1: m∠DHF = m∠EHG
Reason 1; Given
Statement 2; m∠2 + m∠1 = m∠DHF
Reason 2; Angle Addition Property
Statement 3; m∠1 + m∠3 = m∠GHE
Reason 3; Angle Addition Property
Statement 4; m∠2 ≅ m∠3
Reason 4; Definition of congruent angles
Read more about Two Column Proof at; https://brainly.com/question/5497450
#SPJ1
Let U= {q, r, s, t, u, v, w, x, y, z}
A = {q, s, u, w, y}
B = {q, s, y, z}
C= {v, w, x, y, z}
Determine the following.
11) CnA =
Answer:
CnA= {w, y}
Step-by-step explanation:
hope it helps
eddie spends £2.75 on cake and £1 on groceries and has 2/3 left over how much did he start with
answer:
£11.25
explanation:
2.75+1=3.75 this was one third so you have to multiply 3.75 by 3 so you get 11.25.
4. Avi thinks about how clock fractions can be used for division. He thinks
about what fractions correspond to 45 minutes and 15 minutes on a clock.
What is 45+ 15? Write the corresponding fractions and their quotient. Write
the fractions and quotients corresponding to the other times given below in
minutes. Explain how you divide fractions.
45 ÷ 15 =
60 ÷ 30 =
20 + 40 =
3
Hy
30 ÷ 10 =
3
15320
11
||
a household consists of a married couple, their twin three-year-old sons, and their twin eight-year-old daughters. the couple's children had no income and lived with their parents all of last year. how many exemptions can the couple claim on last year's tax return if they file with the "married filing jointly" status?
Considering that they filed the taxes using the "married filing jointly" status, six exemptions can be claimed by the couple.
What is the meaning of "married filing jointly" tax status?If a person and their spouse file taxes using the "married filing jointly" status, it means that two exemptions are claimed, one for the person and one for the spouse.
For this problem, the exemptions are given as follows:
Two for the couple, as they use the "married filing jointly" status.A total of four for the children, one for each children, considering that they have two children.2 + 4 = 6.
Hence:
Considering that they filed the taxes using the "married filing jointly" status, six exemptions can be claimed by the couple.
More can be learned about taxes and exemptions at https://brainly.com/question/16286115
#SPJ1
Answer:
6
Step-by-step explanation:
simple 2+4=6
I need help solving for X. Please tell me the steps.
Answer:
No solution for x
Step-by-step explanation:
Subtract 7 from both sides
==> [tex]5\left|x+1\right|+7-7=-38-7[/tex]
==> [tex]5\left|x+1\right|=-45[/tex]
Divide both sides by 5
==> [tex]\frac{5\left|x+1\right|}{5}=\frac{-45}{5}[/tex]
==> [tex]\left|x+1\right|=-9[/tex]
But this is not possible since absolute value cannot be negative
Hence the equation is inconsistent and therefore there are no solutions for x
Answer:
No solution
Step-by-step explanation:
5|x+1| + 7 = -38
5|x+1| = -38 - 7
5|x+1| = -45
Divide both sides by -5
|x + 1| = -9
Because of how the modulus works, whatever is inside it, whether positive or negative, will become positive.
And since the left side is always positive and the right side is always negative, there is no value of x that can satisfy the equation.
Therefore there is no solution to this equation
The data represented by the following stem-and-leaf plot range from_____ to _______. A. 61;91 B.
Answer: well i do not know
Step-by-step explanation: of well
calculate double 3 then subtract 2
3x3=6
6-2=4.
Thats the answer!!! yayayayayayayayaya
Use inverse operations to write one more correct number sentence for each of these:
a) 6x8 48
b) 29-15 = 14
The inverse operation for given sentences are 48 ÷ 8 = 6 and 14 + 15 = 29
What is inverse operation?Inverse operations, such as addition and subtraction, multiplication and division, are pairs of mathematical operations where one operation reverses the effect of the other. The term "inverse" refers to the reciprocal of a number, i.e., x - 1 = 1 / x. One results from multiplying a number by its reciprocal, or inverse. The impact of one operation on another is reversed by using inverse operations.
The inverse operation for the the equations are -
a) 6x8 = 48
⇒ 48 ÷ 8 = 6
b) 29-15 = 14
⇒ 14 + 15 = 29
To learn more about inverse operations from given link
https://brainly.com/question/20698766
#SPJ9
How could you use estimation to determine if your answer is reasonable? Explain. (2 points)
You can use estimation to determine if your answer is reasonable by ensuring that the estimated answer does not have large outliers.
What is estimation?Estimation is a rough calculation or judgment using available information based on their face values without going into detail.
Estimation, which is based on approximation, helps to determine if a reasonable solution has been found before the events occur when the actual calculations are carried out.
Estimation ensures that the obtained data or results do not vary greatly from the central values. Estimation helps calculations without adequate data and when computations involve large numbers.
Thus, you can use estimation to determine if your answer is reasonable by ensuring that the estimated answer does not have large outliers.
Learn more about estimations at https://brainly.com/question/5399974
#SPJ1
Simplify the expression below.
(4+7i)-(3-2i)
Answer: 1+9i
Step-by-step explanation:
(4+7i)-(3-2i)=
4+7i-3-(-2i)=
4+7i-3+2i=
4-3+7I+2I=1+9i
Show that the number is rational by writing
it as a quotient of two integers: 22
our number can be written as 44/2 = 22, the quotient between two integers, thus, our number is rational.
How to show that a number is rational?
A number is rational if it can be written as the quotient between two integer numbers.
In this case, we want to prove that the number 22 is rational, so we just need to find two integers that, when we take the quotient between them, the outcome is 22.
This is kinda trivial, if we take for example the product between 22 and any integer, for example, 2, we get:
22*2 = 44
Solving for 22 we get:
22 = 44/2
There is our number written as the quotient between two integers, thus, our number is rational.
Learn more about rational numbers:
https://brainly.com/question/12088221
#SPJ1
Write in decimal form then expanded form need help please!!
Answer: 49.017 inches
Step-by-step explanation:
[tex]\displaystyle\\49\frac{17}{1000} =\\\\49.017\ inches[/tex]
Bill saves 1/8 of his income. If his income is $92, how much does he save?
Given that Bill saves 1/8 of his $92 income, the amount of money he saves is $11.5.
How much does Bill saves?Given that;
Bill saves 1/8 of his incomeBill's income is $92Amount saved by bill = ?Let the amount saved by be be represented by the variable x.
Hence,
1/8 of Bill's income = Amount saved
1/8 × $92 = x
Multiply the numerators
x = 1/8 × $92
x = $92/8
Divide 92 by 8
x = $11.5
Given that Bill saves 1/8 of his $92 income, the amount of money he saves is $11.5.
Learn more word problems here: brainly.com/question/2610134
#SPJ1
$1,000 each month with .25% monthly simple interest for 1 year.
The compound interest is $2.5
What is Compound interest?
When you earn interest on both the money you've saved and the interest you earn, is called Compound interest.
Given that;
Principal amount = $1,000
Rate = .25%
Time = 1 year
Now, Amount = P (1 + r)^t
= 1,000 ( 1 + .25%)^1
= 1,002.5
And, Compound interest = P (1 + r)^t - P
Now, Amount = 1,000 ( 1 + .25%)^1
= 1,002.5
Hence, Compound interest = 1,002.5 - 1,000
= 2.5
So, The compound interest is $2.5.
Learn more about the compound interest visit:
https://brainly.com/question/24924853
#SPJ1
What expression is equivalent to 1/64
Answer:
1 ÷ 64
Step-by-step explanation:
A father is three times as old as his son. After 4 years, his age will be 4 times his son's age. Find their present ages.
If a triangle with angle AB 2x, BC 4x-10, and AC 3x-7, What is the lenght of line segment AC?
Answer:
Step-by-step explanation:
7 units long
Step-by-step explanation:
We are given a right triangle ABC
AB = 25 units
BC = 24 units
We are required to determine the length of AC
We are going to use the Pythagoras theorem;
According to the theorem, if a and b are the legs of a right triangle and c is the hypotenuse, then;
a² + b² = c²
In this case;
AB is the hypotenuse and BC is one of the legs of the triangle;
Therefore;
AB² = BC²+AC²
Rearranging the formula;
AC² = AB² - BC²
= 25² - 24²
= 625 - 576
= 49
AC = √49
Thus, AC is 7 units long
HOPE THIS HELPS :)
Work out the input that makes the output of A three times the output of B
The input that makes the output of A to be three times the output of B is; x = 9
How to Solve Algebraic Word Problems?We are told that both Machines A and B have the same input. Thus;
Output of Machine A using Algebraic Properties is;
Output A = 5x - 4
Output of Machine B using Algebraic Properties is;
Output B = 3x + 8
We want to find the input that makes the output of A to be three times the output of B. Thus;
5x - 4 = 3(3x + 8)
5x - 4 = 9x + 24
9x - 5x = -4 - 24
4x = -28
x = -28/4
x = 9
Thus, we conclude that the input that makes the output of A to be three times the output of B is; x = 9
Read more about Algebraic Word Problems at; https://brainly.com/question/21405634
#SPJ1
Identify the correct solution to the problem 3 x 9/10.
2 x 9/10
3 x 9/10
3 x 7/10
2 x 7/10
The correct solution to of 3 x 9/10 is 3 x 9/10.
The correct option is (B).
What is fraction?The horizontal bar known as the fractional bar divides the numerator and denominator of every fraction into these two halves.
The denominator shows how many pieces were used to split the entire. Under the fractional bar, it is positioned in the lower portion of the fraction.How many of the fraction's segments are represented or chosen is shown in the numerator. It is positioned in the fraction above's upper portion.Given:
3 x 9/10
1. 2x 9/10
= 18/10
= 1.8
2. 3 x 9/10
= 27/10
= 2.7
3. 3 x 7/10
= 21/10
= 2.1
4. 2 x 7/10
= 14/10
= 1.4
Hence, the correct solution is 3 x 9/10.
Learn more about fraction here:
https://brainly.com/question/10354322
#SPJ2
jada used '60' pepper slices to make '3' pizzas. how many does it take to make '6' of jada's pizzas?
Answer:
Step-by-step explanation: it takes 60 peppers to make 3 pizzas we need 6 pizzas so we just take 60 x 2= 120. So we need 120 peppers to make 6 pizzas.
When a certain odd number is divided by 5, the remainder is 1.
Which digit must be in the unit's place of the odd number?
The digit at unit's place of odd number should be 1 to be divisible by 5 and have remainder 1.
Odd numbers are the numbers that cannot be divided into two equal parts.
In odd numbers the digits in the units place always remains 1,3,5,7 and 9.
According to the question the odd number is divided by 5 and the remainder is 1.
For the number to be divisible by 5 and have remainder 1 the digit that must be in the unit place will be 1
If we see all the digits in units place of odd numbers then 1 is the only possibility as if it is 3 then the remainder will be 3. If it is 5 then the remainder will be 0, if it is 7 then the remainder will be 2 and if it is 9 then the remainder will be 4.
Hence the digit at unit's place of odd number should be 1.
Learn more about divisibility here : https://brainly.com/question/8226236
#SPJ9
If the probability of rain is 2/5 what's the problem probability of no rain
Consider these graphed number lines. 4 number lines going from negative 5 to positive 5. Graph A: points are at 1 and 4. Everything between the points is shaded. Graph B: Points are at 1 and 4. Everything to the left of 1 and to the right of 4 is shaded. Graph C: Open circles are at 1 and 4. Everything between the points is shaded. Graph D: Open circles are at 1 and 4. Everything to the left of 1 and to the right of 4 is shaded. Which number line represents the solution for the inequality |2x – 5| Greater-than-or-equal-to 3? graph A graph B graph C graph D
The number line which represents the solution of the given absolute value inequality is |2x – 5| ≥ 3 is graph B : Points are at 1 and 4. Everything to the left of 1 and to the right of 4 is shaded.
What are absolute value inequalities?An absolute value inequality is an equation of the form |p| ≥ a or |p| ≤ a
where p and are mathematical expressions.
Absolute rule for solving inequality: if |p| ≥ a then solution is p ≤ (-a ) or
p ≥ a
Now for the given inequality |2x – 5| ≥ 3 , applying above absolute rule we get :
(2x-5) ≤ -3 and (2x-5) ≥ 3
For 2x-5 ≤ -3
Adding 5 on sides we get: 2x-5+5 ≤-3+5
2x ≤ 2
On dividing both sides by 2: (2x/2) ≤ (2/2)
x ≤ 1
which means that x are all number less than or equal to 1
On the number line, everything to left of 1 and point 1 on the number line
Now, For 2x-5 ≥ 3
Adding 5 on sides we get: 2x-5+5 ≥ 3+5
2x ≥ 8
On dividing both sides by 2: (2x/2) ≤ (8/2)
x ≥ 4
which means that x are all numbers greater than or equal to 4
On the number line, everything to right of 4 and point 4 on the number line
Therefore, Graph B is the right answer which says that points are at 1 and 4 ,everything to the left of 1 and to the right of 4 is shaded.
Learn more about the absolute value inequality from here:
https://brainly.com/question/4688732
#SPJ1