9514 1404 393
Answer:
1.56×10^10 cL
Step-by-step explanation:
There are 1000 liters in a cubic meter, so 10^5 centiliters in a cubic meter. The 1.56×10^5 cubic meters will then have ...
(1.56×10^5 m^3)×(10^5 cL/m^3) = 1.56×10^10 cL
_____
That's 15,600,000,000 cL.
"Centi-" is a prefix meaning 1/100.
Given that f(x)=x^2 and g(x)=5x+2 , find (f-g)(2), if it exists.
Answer:
(f - g)(2) = -8
General Formulas and Concepts:
Pre-Algebra
Distributive PropertyAlgebra I
Terms/CoefficientsFunctionsFunction NotationStep-by-step explanation:
Step 1: Define
Identify
f(x) = x²
g(x) = 5x + 2
Step 2: Find
Substitute in functions: (f - g)(x) = x² - (5x + 2)[Distributive Property] Distribute negative: (f - g)(x) = x² - 5x - 2Substitute in x [Function (f - g)(x)]: (f - g)(2) = 2² - 5(2) - 2Evaluate: (f - g)(2) = -8Need the answer for all of them
What are the solutions to the quadratic equation x^2-16=0
Answer:
x = ±4
Step-by-step explanation:
Hi there!
[tex]x^2-16=0[/tex]
Move 16 to the other side
[tex]x^2=16[/tex]
Take the square root of both sides
[tex]\sqrt{x^2}=\sqrt{16}\\x=\pm4[/tex]
I hope this helps!
Given the directrix of y = 6 and focus of (0, 4), which is the equation of the parabola?\
Answer:
The directrix is y=6 and focus is (0,4)
The equation of the parabola is,
20-4y=x²
Point J is the midpoint of the line segment KI Find the length of JI.
Answer:
I belive i is 5
Step-by-step explanation:
the angles of a quadrilateral are x°,3x°,5x°and 6x° find x and hence calculate the angles of the quadrilateral.
Answer:
Step-by-step explanation:
The sum of the angles of a quadrilateral is 360°
x + 3x + 5x + 6x = 360
15x = 360
x = 24
Angles:
x = 24°
3x = 72°
5x = 120°
6x = 144°
Factor out the GCF of the three terms, then complete the factorization of 6x3 + 6x2 – 1202.
Answer : 2( 3x^3 +3x^2 - 601 )
What is the reason for each step in the solution of the equation?
-5(x - 6) = 10x
Drag and drop the reasons into the boxes to correctly complete the table.
–5(x – 6) = 10x
Given
-5x + 30 = 10x
30 = 15x
2 = x
Division Property of Equality
Commutative Property
Addition Property of Equality
Given
Distributive Property
Answer:
Distributive property (-5 is being multiplied to x and - 6)
Addition property of equality (5x is being added in both side of the equation)
Division property of equality (15 is being devided in both side of the equation)
Brainliest please~
The reason for each step will be
Distributive property (-5 is being multiplied to x and - 6)
Addition property of equality (5x is being added in both sides of the equation)
Division property of equality (15 is being divided into both sides of the equation)
What are algebraic properties?
We can solve mathematical equations thanks to algebra's inherent characteristics. The algebraic properties are distributive property, addition property of equality, and division property of equality.
Given expressions are:-
-5x + 30 = 10x
30 = 15x
2 = x
-5x + 30 = 10x ⇒ Distributive property (-5 is being multiplied to x and - 6)
30 = 15x ⇒ Addition property of equality (5x is being added in both sides of the equation)
30 = 15x ⇒ Division property of equality (15 is being divided into both sides of the equation)
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Find the sum of the series if possible, if not possible explain why:
1+(−2/5)+(−2/5)^2+(−2/5)^3+⋯
Answer:
Step-by-step explanation:
5/7
Sum of a geometric series is a/(1-r) = 1/(1-(-2/5)) = 5/7
An object is dropped from 24 feet below the tip of the pinnacle atop a 1468-ft tall building. The height h of the object after t seconds is given by the equatior h= - 16t2 + 1444. Find how many seconds pass before the object reaches the ground. seconds pass before the object reaches the ground. (Type an integer or a decimal.)
Answer:
9.5 seconds pass before the object reaches the ground.
Step-by-step explanation:
Height of the ball:
The height of the ball after t seconds is given by the following equation:
[tex]h(t) = -16t^2 + 1444[/tex]
Find how many seconds pass before the object reaches the ground.
This is t for which h(t) = 0. So
[tex]h(t) = -16t^2 + 1444[/tex]
[tex]-16t^2 + 1444 = 0[/tex]
[tex]16t^2 = 1444[/tex]
[tex]t^2 = \frac{1444}{16}[/tex]
[tex]t^2 = 90.25[/tex]
[tex]t = \pm \sqrt{90.25}[/tex]
Since it is time, we only take the positive value.
[tex]t = 9.5[/tex]
9.5 seconds pass before the object reaches the ground.
Use the distributive property to remove parentheses.
-8(x-3w-2)
9514 1404 393
Answer:
= -8x +24w +16
Step-by-step explanation:
The factor outside multiplies each term inside parentheses.
-8(x -3w -2) = (-8)(x) +(-8)(-3w) +(-8)(-2)
= -8x +24w +16
Which of the following is true about congruent figures?
yannie read 24 pages of a book. one fourth of the book is unread.how many pages are there?
Answer:
32
Step-by-step explanation:
24/3=8, 24+8=32
that's how I think of it
Q2 (a). Workout the value of each expression:
i)
X-y when x =
10 and y = 15
n when m
10 and n= = 2
iii) f+2g when f= 5 and g = 10
30
m
Step-by-step explanation:
x=10, y=15
x-y = -5
n=10, m=2
n-m= 8
f=5, g=10
f+2g
5+2(10)
=25
3x-2=2(x-5)
find the value of x
Now we have to,
find the required value of x.
Let's begin,
→ 3x-2 = 2(x-5)
→ 3x-2 = 2x-10
→ 3x-2x = -10+2
→ x = -8
Hence, value of x is -8.
Answer:
x = -8
Step-by-step explanation:
3x - 2 = 2 ( x + 5
Solve for x.
Let's solve,
3x - 2 = 2 ( x + 5 )
Step 1:- Distribute 2.
3x - 2 = 2 × x + 2 × 5
3x - 2 = 2x - 10
Step 2 :- Move constant to the right-hand and change their sign.
3x = 2x - 10 + 2
Step 3:- Add -10 and 2.
3x = 2x - 8
Step 4 :- Move variable to the left-hand side and change their sign.
3x - 2x = -8
Step 5 :- Subtract 2x from 2x.
x = -8
Hence, value of x = -8.
1/2 litre of kerosene costs $1.50what is the cost ofn2 litre of kerosene
Answer:
$6
Step-by-step explanation:
1.5 × 2 = 3
1 liter = $3
3 × 2 = 6
2 liters of kerosene is $6
In 1995 the U.S. federal government debt totaled 5 trillion dollars. In 2008 the total debt reached 10 trillion dollars. Which of the following statements about the doubling time of the U.S. federal debt is true based on this information?
Where are the statements?
Multiply (8 + 3i)(3 + 5i).
39 + 491
9+ 491
24 + 152
24 + 491 + 15/2
(8+3)(3+5)=88
88+(39+491)= 618.
88+(9+491)= 588
88+(24+152)= 264.
sorry could not find the last ansswer..
When male workers were asked how many hours they worked in the previous week, the mean was with a standard deviation of . Does this suggest that the population mean work week for men exceeds hours
Answer:
We can conclude that the population mean work week for men exceed 40 hours.
Step-by-step explanation:
Given that :
Mean, xbar = 45.6
Standard deviation, s = 14.6
Sample size, n = 893
x = 40
Hypothesis :
H0 : μ = 40
H1 : μ > 40
Using test statistic for one sample t test :
Test statistic = (xbar - μ) ÷ (s/√(n))
Test statistic = (45.6 - 40) ÷ (14.6/√(893))
T = (5.6 / 0.4885703)
Test statistic = 11.46
Using the Pvalue approach :
Reject H0 : if Pvalue < α
Pvalue for test statistic of 11.46 will be approximately 0 (Extremely low)
Hence, Pvalue < α ; We reject H0 ; and conclude that population mean work week for men exceed 40 hours
Find dy/dx given that y = 1 - cos x / sin x
Answer:
tan x
Step-by-step explanation:
The given function y is a quotient, so we must apply the quotient rule first. Recall that (d/dx)cos x = -sin x and that (d/dx)sin x = cos x.
Then the derivative of the given quotient is:
(sin x)[0 - (-sin x)] [sin x]^2
dy/dx = --------------------------- = ----------------- = 1
[sin x]^2 [sin x]^2
Cho xOz ‘ và yOz ‘ là 2 góc kề bù. Gọi Ot là phân giác của yOz ‘. Biết xOz ‘ = 50◦ , tính xOt
Answer:
ask in English then I can help u
Write an expression representing the unknown quantity.
There are 5,682,953 fewer men than women on a particular social media site. If x represents the number of women using that site, write an expression for the number of men using that site.
The expression for the number of men is
.
9514 1404 393
Answer:
x - 5,682,953
Step-by-step explanation:
If x is the number of women, and the number of men is 5,682,953 less, then the number of men is x -5,682,953
Please help, I will give brainliest if you answer.
An angle measures 78.6° more than the measure of its supplementary angle. What is the measure of each angle?
Answer:
so required angles are 50.7°and 129.3°
Step-by-step explanation:
Let the angle be x
another angle = x + 78.6°
so,
x + x + 78.6° = 180° {being sum of supplementary angle}
so, 2x + 78.6° = 180°
or, 2x = 180° - 78.6°
or, x = 101.4/2
so, x = 50.7°
so another angle = x + 78.6°
= 50.7° + 78.6°
= 129.3°
Module 8: Directions: Respond to this question to demonstrate your understanding of the topic/content. Be sure to provide adequate and relevant details learned in the module to support your response. Pay close attention to organizing your response so it makes sense and uses correct grammar. Your response should be at least 5-7 sentences at a minimum.
Question: Describe how to eliminate the parameter to change from parametric to rectangular form. How does this ability help us with graphing parametric equations?
Answer:
rectangular equation, or an equation in rectangular form is an equation composed of variables like xx and yy which can be graphed on a regular Cartesian plane. For example y=4x+3y=4x+3 is a rectangular equation.
A curve in the plane is said to be parameterized if the set of coordinates on the curve, (x,y)(x,y) , are represented as functions of a variable tt .
x=f(t)y=g(t)x=f(t)y=g(t)
These equations may or may not be graphed on Cartesian plane.
Step-by-step explanation:
I hope this helps
2. What polygon is formed if you divide this figure into three equal parts? A squares B. triangles C. rhombuses D. kites
Answer: C
Step-by-step explanation:
please help I WILL GIVE BRAINLIEST TO WHOEVER SOLVES
ALSO 13 POINTS
plz help
whats the common difference of p+q, p , p-q
Answer:
- q
Step-by-step explanation:
p - ( p + q )
= p - p - q
= - q
p - q - p
= p - p - q
= - q
Common difference is - q.
A store offers different brands of a product. It decides to eliminate the brand
that is most likely to be returned. The table shows the number of items of
each brand that were returned over the past year and the total sold.
Retums
Total sold
Brand A
40
913
Brand B
38
792
Brand C
21
626
Brand D
15
451
Which brand should the store eliminate?
Answer:
In my points of view brand D should elimininate.In table have show the brand of D.If I am wrong I am sorry for talking 5pbt
The brand B must be eliminated since it has highest percentage 4.79%.
What is percentage?Percentage is defined as a given part or amount in every hundred. It is a fraction with 100 as the denominator and is represented by the symbol "%".
Here,
Brand A percentage = 40/913 ×100
= 4.38%
Brand B percentage = 38/792 ×100
= 4.79%
Brand C percentage = 21/626 ×100
= 3.35%
Brand D percentage = 15/451 ×100
= 3.32%
Therefore, brand B must be eliminated since it has highest percentage 4.79%.
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The scores for a particular examination are normally distributed with a mean of 68.5% and a standard deviation of 8.2%. What is the probability that a student who wrote the examination had a mark between 80% and 100%? Give your answer to the nearest hundredth.
Answer:
[tex]P(80/100<x<100/100)=0.08[/tex]
Step-by-step explanation:
We are given that
Mean,[tex]\mu=68.5[/tex]%=68.5/100
Standard deviation, [tex]\sigma=8.2[/tex]%=8.2/100
We have to find the probability that a student who wrote the examination had a mark between 80% and 100%.
[tex]P(80/100<x<100/100)=P(\frac{80/100-68.5/100}{8.2/100}<\frac{x-\mu}{\sigma}<\frac{100/100-68.5/100}{8.2/100})[/tex]
[tex]P(80/100<x<100/100)=P(1.40<Z<3.84)[/tex]
We know that
[tex]P(a<Z<b)=P(Z<b)-P(Z<a)[/tex]
Using the formula
[tex]P(80/100<x<100/100)=P(Z<3.84)-P(Z<1.40)[/tex]
[tex]P(80/100<x<100/100)=0.99994-0.91924[/tex]
[tex]P(80/100<x<100/100)=0.0807\approx 0.08[/tex]
#14 Find the angle measure m
Step-by-step explanation:
here's the answer to your question
