Answer:
45.25 in
Step-by-step explanation:
To solve this question you would plug 7/2 or 3.5 in for t and solve for h(t).
h(t)=-3(7/2)^2+12(7/2)+40
=-3(49/4)+(84/2)+40
=(-147/4)+42+40
=-36.75+42+40
=45.25 in
x2 is to 441 as x3 is to ___.
Solve for c in x^2 = 441
Taking the square root of both sides x = 21
Now x^3 = 21^3 = 9,261
The answer is 9,261
The solution is x² is to 441 as x³ is to 9261
What is 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 ,
x² = 441
Taking square roots on both sides , we get
x = 21
Therefore , x³ = 21 × 21 × 21
x³ = 9261
Hence , x² is to 441 as x³ is to 9261
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Solve the equation by factoring.
[tex]2x^{2} +20x=7x+7[/tex]
(PLEASE SHOW YOUR PROCESS)
Which of these is an example of typing at an average rate of 42 words per minute?
Select one
Answer:
typing 16 words in 2/3 of a minute
Step-by-step explanation:
very very sorry for the late response wish i could have seen this earlier
Step-by-step explanation:
Answer:
typing 16 words in 2/3 of a minute
Step-by-step explanation:
17y-5x+8=9 in standard form?
Answer:
-5X + 17Y -1 A = -5X B = 17Y. C = -1
Step-by-step explanation:
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The equation of a line 17y - 5x + 8 = 9 in standard form
is - 5x + 17y - 1 = 0.
What are lines and their slopes?We know lines have various types of equations, the general type is
Ax + By + c = 0, and the equation of a line in slope-intercept form is
y = mx + b.
Where slope = m and b = y-intercept.
the slope is the rate of change of the y-axis with respect to the x-axis and the y-intercept is the (0,b) where the line intersects the y-axis at x = 0.
Given, 17y - 5x + 8 = 9 we have to convert in standard form Ax + By + c = 0.
∴ 17y - 5x + 8 = 9.
- 5x + 17y - 1 = 0.
So, A = - 5, B = 17 and, c = - 1.
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The regular price of a video game is $50. The game is on sale for 20% off the regular price.
Find the sale price of the game.
Find the total price, with a sales tax rate of 8%. (*Hint: Sales tax is an additional amount paid.)
HELP PLEASE!!!
Answer:
Sale Price:
50x-20%=10
50-10= 40
Total Price:
40x-8%=3.20
40+3.20= 43.20
Step-by-step explanation: If you encounter more problems like this, use the x and - method! Its easier to understand and a shorter method :)
a bolt has 6 1/2 turns per inch how many turns would be in 2 1/2 inches of threads
Answer:
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Step-by-step explanation:
Frank bought 5 pounds of dog food for 8.75. At this rate how much would he pay for 8 pounds
$14
you need to set up a preportion
if 5 lbs costs 8.75 then we need to figure out how much 8 lbs cost, obviously lol.
anyways what ya finna do is make a fraction
5 8
--- = ----
8.75 x
then u cross multiply. 8 x 8.75 = 70
70 = 5x
x= $14
help
state the multiplicity for each root
[tex]3(x^{2} + 5)^ {2} ( {x}^{2} - 25)^{3} (x - 8)^{4} = 0[/tex]
state the multiplicity for each root
Answers:
The two complex or imaginary roots [tex]x = i\sqrt{5}[/tex] and [tex]x = -i\sqrt{5}[/tex] have multiplicity 2.The two real roots x = 5 and x = -5 have multiplicity 3The root x = 8 has multiplicity 4======================================================
Explanation:
We'll use the zero product property to solve.
[tex]3(x^2+5)^2(x^2-25)^3(x-8)^4 = 0\\\\(x^2+5)^2=0 \text{ or } (x^2-25)^3=0 \text{ or } (x-8)^4 = 0\\\\x^2+5=0 \text{ or } x^2-25=0 \text{ or } x-8 = 0\\\\x^2=-5 \text{ or } x^2=25 \text{ or } x = 8\\\\x=\pm\sqrt{-5} \text{ or } x=\pm\sqrt{25} \text{ or } x = 8\\\\x=\pm i\sqrt{5} \text{ or } x=\pm 5 \text{ or } x = 8\\\\[/tex]
where [tex]i = \sqrt{-1}[/tex]
----------------------
The notation [tex]x=\pm i\sqrt{5}[/tex] breaks up into [tex]x=i\sqrt{5} \text{ or } x=-i\sqrt{5}[/tex]. The multiplicity of these two roots is 2 as it's the exponent of the factor [tex](x^2+5)^2[/tex]. Focus on the outermost exponent.
The notation [tex]x = \pm 5[/tex] becomes [tex]x = 5 \text{ or } x = -5[/tex]. The multiplicity of these two roots is 3 since it's the outermost exponent of the factor [tex](x^2-25)^3[/tex]
And finally, the multiplicity of the root x = 8 is 4 because it is the outermost exponent of the factor [tex](x-8)^4[/tex]
9x - 4 = 5x - 4 + 4x
Answer:
X = 1
Step-by-step explanation:
HOPE THIS HELPS
am i answering the same question over and over again?
whatever
PLZ MARK BRAINLIEST
According to the synthetic division below, which of the following statements
are true?
Check all that apply.
The question is not complete, so i have attached it.
Answer:
Options A, B & E are correct
Step-by-step explanation:
In the synthetic division attached, we see that:
: 2 , -2 & -12 are the coefficient of the dividend of the function 2x² - 2x - 12
: The divisor is 3
Thus;
x = 3 is a root of f(x) = 2x² - 2x - 12
Thus, (x - 3) is a factor of the dividend which is the function f(x) = 2x² - 2x - 12
- Now, from the attached image, the coefficients of the quotient are 2 , 4
- The quotient will be 1 degree less than the dividend since it was divided by the factor (x - 3)
The degree of the dividend will be 2 since it contains x²
Thus, the degree of the quotient will be 1
Therefore, the quotient in factor form is (2x + 4)
Looking at the given statements in the options;
- Option A is true, because we have established earlier that 3 is a root of f(x) = 2x² - 2x - 12
- Option B is true because we have established that (x - 3) is a factor of 2x² - 2x - 12
- Option C is not true because the factor is (x + 3) and not (x - 3)
-Option D is not true because the root is 3 and not -3
- Option E is true because we have established that quotient as a factor is: (2x + 4)
Thus, the correct options are A , B , E
A jeweler has 36 inches of sliver chain. She needs 5 times that much to make some necklaces. How much sliver chain does the jeweler need to make her necklaces?
Answer:
180 inches
Step-by-step explanation:
36x5= 180
Answer:
if she already has 36 inches and we are tying to find how much she need we need to take that 5 and multiple it to the 36 because the word TIMES means to multiple so 36x5= 180. so your answer will be she will need 180 in (since that is the measurement we are using)
Step-by-step explanation:
Solve for n.
n - 26 = -13
n =
Answer:
n= 13
Step-by-step explanation:
.................
Answer:
n=13
Step-by-step explanation:
because 26 is a negative you know that n has to be a positive so you subtract 13 from 26 and that's your answer
Answer my math question I asked so many times I lost most of points help by
y-intercept: (0, 1)
Line of symmetry calculation: x = -b/2a = -(-2)/2(2) = 0.5
Line of symmetry: x = 0.5
Open UP or DOWN: Opens UP
Min or Max: Min
Vertex: (0.5, 0.5)
Domain: {x|x ∈ ℝ}
Range: {y|y ≥ 1/2}
Wow...I forgot how to do this please help
Answer:
B. y = -6x+7
Step-by-step explanation:
change in x is positive 6 change in y is negative 1
6/-1 is the slope
-6 is the slope
Someone please help me, please
1. Carisa is going to play outside with her friends. She is going to randomly pick a ball to play with out of the
garage. There is a soccer ball, a basketball, a baseball, and a football. What is the probability she is going to
pick the basketball or the soccer ball?
Answer:
50% chance
Step-by-step explanation:
if there are four balls there is a 50% chance she will pick the basket ball or the scoccer ball. Hope this helped.
how do I answer this please help homework due tomorrow x
Answer:
63.6 m^2
Step-by-step explanation:
A = (pi)r^2
r = d/2 = 9 m / 2 = 4.5 m
A = (3.142)(4.5 m)^2
A = 63.6 m^2
a. 320 km in 5 hours is a rate of ______ per hour.
b. 48 books bought for $360 is at the rate of _______ per book.
c. If 900 litres of water flows through a tap in 2 hours, it is the rate of _____ per minute.
d. Richard works for 10 hours and is paid $145. His rate of pay is _____ per hour.
e. 5kg of peas cost $12.58, which equals _____ per kg.
Answer:
a. 64
b. 7.5
c. 7 min 5 sec
d. 14.5
e. 2.52
The rate per hour is known as the average speed.
Average speed = total distance / time
320 / 5 = 64 km / hr
The rate per book is the cost of one book.
Cost of one book = total cost of the book / number of books bought
$360 / 48 = $7.50
The rate per minute = total litres / total minutes
900 / (2 x 60)
900 / 180 = 5 litres per minute
Rate pay per hour = total amount earned / total hours worked
$145 / 10 = $14.50 per hour
Cost per kg = total cost of the peas / total weight of the peas
$12.58 / 5 = $2.52 per kg
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3 (1 - x)=2 (-4x + 7)
Solve for X.
Answer:
x = 11/5
Step-by-step explanation:
3-3x = -8x +14
5x = 11
x= 11/5
please help me pls and ty
which inequality is shown in the graph
Answer:
hgyuu by 7vb j 8gv c ryuug
A 2 1/2 pound bag of grass seed covers 1/8 of an acre.How much grass seed is needed for 1 acre
Answer: 8 times more 8*2 1/2 = 20 pounds.
Step-by-step explanation: If 2.5 pounds cover 1/8 then simply multiply the 2.5 by 8, since you'll need 8/8. 8/8=1.
I hope this helps :)
A carnival charges $8 to enter and $3 per ride. Fill in the table of values for the total cost for a person to enter and go on 0 to 5 rides
Answer:
Look at the picture
Step-by-step explanation:
For 0 rise it would just be eight dollars
rewrite 4^-3 using a positive exponent an evaluate the result.
Answer: 1/4³
Step-by-step explanation:
When finding the negative exponent of a number, you turn it into a fraction, with the numerator being 1, and the denominator being the base of the exponent, and the exponent being positive.
Examples:
2^-2 = 1/2²
3^-3 = 1/3³
4^-4 = 1/4⁴
What is the solution to the equation shown below? (2/3)x + 5 = 1
Answer:
The solution is x = −6.
Step-by-step explanation:
Describe the set of all complex numbers that are at a distance of 2 units from the origin.
Answer:
The description of the set is [tex]A = \{s\in \mathbb{C}|\|s\| = 2\}[/tex].
Step-by-step explanation:
From Complex Analysis, we remember that complex numbers are numbers whose form is:
[tex]s = a+i\, b[/tex], [tex]a,b \in \mathbb{R}[/tex] (1)
Where [tex]i = \sqrt{-1}[/tex].
In addition, the distance from the origin is defined by the following Pythagorean identity:
[tex]\|s\| = \sqrt{a^{2}+b^{2}}[/tex] (2)
The following condition must be satisfied:
[tex]\|s\| = 2[/tex]
Then, the set of all complex numbers that are at a distance of 2 units from the origin is described below:
[tex]A = \{s\in \mathbb{C}|\|s\| = 2\}[/tex] (3)
The set of all complex numbers that are at a distance of 2 units from the origin is [tex]\{z\in \mathbb{C} :\text{ }|z|=2\}[/tex]
A complex number, written in rectangular form is
[tex]z=a+ib\\a,b\in \mathbb{R}[/tex]
The distance of a complex number from the origin (the modulus of the complex number, denoted by [tex]|z|[/tex]) is given by the formula
[tex]|z|=\sqrt{a^2+b^2}[/tex]
Since we want all the complex numbers to be at the distance of 2 units from the origin, they must satisfy
[tex]|z|=2[/tex]
thus, the set we are looking for is
[tex]D=\{z\in \mathbb{C} :\text{ }|z|=2\}[/tex]
where [tex]\mathbb{C}[/tex] is the set of all complex numbers
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TNMILLER this for youuuuuuu!
Answer:
??
Step-by-step explanation:
i am so confused... love ur pfp tho
Answer:
:D
Step-by-step explanation:
thank
George saves $163 a month. George saves $142 less each month than Lane. How much will Lane save in 2 years.
Answer:
504
Step-by-step explanation:
take 163 and subtract 142 then times by 24
The closing amount of the Dow Jones Industrial Average on the stock market for four days is shown in the table below.
Date
Closing amount (in points)
01/27
13,895.98
01/28
13,881.93
01/29
13,954.4
01/30
13,860.42
Which best represents the greatest amount of change that took place from one day to the next day over the four-day period?
a loss of 93.98 points
a loss of 72.47 points
a gain of 72.47 points
a gain of 93.98 points
Answer:
The first option
Step-by-step explanation:
Answer:
a
Step-by-step explanation:
g(n) = 1 + 5(n - 1)
Complete the recursive formula of g(n).
g(1) =
g(n) = g(n-1)+
Answer:
Hi... U should do like this
The recursive formula will be g(n) = g(n-1) + 5
What is recursive formula ?"A recursive formula refers to a formula that defines each term of a sequence using the preceding term(s). The recursive formulas define the following parameters:
The first term of the sequence.
The pattern rule to get any term from its previous term.
Recursive Formula for Arithmetic Sequence
The recursive formula to find the nth term of an arithmetic sequence is:
an = an-1 + d for n ≥ 2
where
an is the nth term of a A.P.
d is the common difference."
Given,
[tex]g(n) = 1 + 5(n-1)[/tex]
Let the remaining term be x
Now,
[tex]g(n) = g(n-1) + x 1 + 5(n-1) = 1 + 5(n - 1 - 1) + x\\\\ 1 + 5n - 5 = 1 + 5n - 10 + x \\\\x = 5[/tex]
So, [tex]g(n) = g(n-1) + 5[/tex]
And, [tex]g(1) = 1 + 5(1 - 1) + 5[/tex]
[tex]g(1) = 6[/tex]
Hence, [tex]g(1) = 6[/tex] and [tex]g(n) = g(n-1) + 5[/tex]
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