Answer:
[tex]6(\frac{1}{3} \times\frac{7}{5} )=(6\times\frac{1}{3} )\frac{7}{5}[/tex]
[tex]Answer: B[/tex]
-------------------------
Hope it helps...
Have a great day!!
Draw a line representing the "rise" and a line representing the "run" of the line. State the slope of the line in simplest form.
Answer:
y = -2x + 5
[tex]\frac{risex}{run} = slope =[/tex]Δy/Δx = -8/4 = -2
Step-by-step explanation:
Is there a way to solve this without l'hopital's rule?
The conclusion is that the expression [tex]\lim_{x \to \infty} \frac{6 (2^x) - 1}{5x^2+ 10}[/tex] cannot be solved without the l'hopital's rule,
How to solve the limit expression?The limit expression is given as:
[tex]\lim_{x \to \infty} \frac{6 (2^x) - 1}{5x^2+ 10}[/tex]
The limit of the expression cannot be solved without l'hopital's rule, because a direct substitution of ∞ for x would result in the following expression ∞/∞
i.e.
[tex]\lim_{x \to \infty} \frac{6 (2^{\infty}) - 1}{5(\infty)^2+ 10} = \frac{\infty}{\infty}[/tex]
So, the best way is to apply the l'hopital's rule.
This is done as follows:
[tex]\lim_{x \to \infty} \frac{f(x)}{g(x)} = \lim_{x \to \infty} \frac{f'(x)}{g'(x)}[/tex]
When the numerator and the denominator are differentiated, we have:
[tex]\lim_{x \to \infty} \frac{f(x)}{g(x)} = \frac{3\ln(2)\cdot 2^{x + 1}}{10x}[/tex]
Further, differentiate
[tex]\lim_{x \to \infty} \frac{f(x)}{g(x)} = \frac{3\ln^2(2)\cdot 2^{x + 1}}{10}[/tex]
Now, we can substitute [tex]\infty[/tex] for x
[tex]\lim_{x \to \infty} \frac{f(x)}{g(x)} = \frac{3\ln^2(2)\cdot 2^{\infty + 1}}{10}[/tex]
Evaluate the numerator
[tex]\lim_{x \to \infty} \frac{f(x)}{g(x)} = \frac{\infty}{10}[/tex]
Evaluate the quotient
[tex]\lim_{x \to \infty} \frac{f(x)}{g(x)} = \infty[/tex]
Hence, the conclusion is that the expression [tex]\lim_{x \to \infty} \frac{6 (2^x) - 1}{5x^2+ 10}[/tex] cannot be solved without the l'hopital's rule
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Please help me with these two Algebra problem. Thanks
Problem 1:
If two half planes never intersect, then their system of inequalities has no solution. True or False?
Problem 2:
If the boundary lines of two half planes are parallel, then they have no solution area. True or False?
Please answer as quick as possible and please answer as
Example:
True, because . . . .
Thanks again!!
Step-by-step explanation:
First, a half plane can be defined as one side of a line, e.g. x < y-3.
1: True. A solution to two half planes is where the two half planes intersect. If they never intersect, then there literally cannot be a solution.
2: False. Take, for example, y=x and y=x+1. These two lines are parallel because in the equation y=mx+b, m represents the slope, and in these two lines, x is multiplied by 1, so both lines have the same slope and are therefore parallel. Then, take two boundary planes -- y > x and y>x+1. If we graph this out (see picture), the planes clearly intersect when y>x+1. The solution is where the planes intersect, so there is a solution area
What type of line is PQ?
A. angle bisector
B. side bisector
C. altitude
D. median
Answer: Segment PQ is a median
Step-by-step explanation:
A median is a segment whose endpoints are the vertex of a triangle and the midpoint of the opposite side. This means segment PQ has to be a median for it meets the criteria of a median.
The segment PQ is a median.
A median is a segment whose endpoints are the vertex of a triangle and the midpoint of the opposite side.
What is the median?
The median is the middle number in a sorted, ascending, or descending list of numbers and can be more descriptive of that data set than the average.
This means segment PQ has to be a median for it meets the criteria of a median.
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5. In figure 2.9, line AB || line CD and line PQ is transversal. Measure of one of the angles is given Hence find the measures of the following angles (1) LART (ii) ZCTO (iii) ZDTO (iv) ZPRB
highest common factor of 28,40,12 and 24
Answer:
4
Step-by-step explanation:
We want to find the highest common factor
Breaking them into factors
28 = 4*7 = 2*2*7
40 = 4*10 = 2*2*2*5
12 = 4*3 = 2*2*3
24 = 3*8 = 3*2*2*2
The factor that appears in all is 2*2
2*2 =4
Answer:
4
Step-by-step explanation:
28÷4=7
40÷4=10
12÷4=3
24÷4=6
7, 10, 3 and 6 cannot be divided by any same number.
The poll report includes a table titled, "Americans Using Cash Now Versus Five Years Ago, by Age." The age intervals are
not equal. Why do you think the Gallup organization chose the age intervals of 23-34, 35-54, and 55+ to display these
results?
Answer:
These are the entervals of the people who are atleast adults and are mature enough to take the surevy seriosly and answer correctly
Step-by-step explanation:
In the figure, m_2 = 75. Find the measures of the
remaining angles.
PA
Х
1/2
4/3
-m
5/6
8/7
-N
Answer:
Step-by-step explanation:
If angle 2 is 75, the other angles that are also 75 are angles 4 (it's vertical to angle 2), angle 6 (it's corresponding to angle 2), angle 8 (it's alternate exterior to angle 2). All the other angles measure 180 - 75 which is 105.
PLEASE HELP WILL GIVE BRAINLIEST!!!!
Answer:
Step-by-step explanation:
I may get this wrong because I don't think it's clear enough.
3 Letters
The station call letters must start with 1 of 3 letters
3
The next letter must be one of 25 and the last letter is 24
3 * 25 * 24 = 1800
5 letters
3 * 25 * 24 * 23* 22 = 910800
Total 1800 + 910800 = 912600
The graphs below have the same shape. What is the equation of the blue
graph?
Answer:
B
Step-by-step explanation:
2 units to the right -> -2 in the brackets next to x
4 units down -> -4 as a constant at the end of the equation
What is 9.4582 rounded to 1?
Answer I think the answer is 9 if you round off to the nearest ones,in this case you are rounding off to 9 which will still be 9 because 4 is less than 5.
I hope this helps
please answer correctly and i will give 10 extra points
Answer:
I believe the answer would be 48.6 milliliters
Step-by-step explanation:
54 * 0.9 = 48.6
Given Isosceles Trapezoid TRAP, if mP=98, find mT
Answer:
∠ T = 82°
Step-by-step explanation:
In a Isosceles trapezoid, any lower base angle is supplementary to any upper base angle , so
∠ T + ∠ P = 180°
∠ T + 98° = 180° ( subtract 98° from both sides )
∠ T = 82°
10. Both x and y vary inversely with each other. When x is 10, y is 6,which of the following is not a possible pair of corresponding values of x and y? (A) 12 and 5 (B) 15 and 4 (C) 25 and 2.4 (D) 45 and 1.2
expain me
mods plz answer
9514 1404 393
Answer:
D) 45 and 1.2
Step-by-step explanation:
The "varies inversely" relationship is described by the equation ...
y = k/x . . . . . . y varies inversely with x (and vice versa)
The value of k can be found from known values of x and y:
xy = k . . . . . . multiply the above equation by x
(10)(6) = k = 60 . . . . using the given values
__
To check if a given pair of numbers satisfies ...
y = 60/x
you can multiply them together to see if the product is 60.
(A) 12×5 = 60
(B) 15×4 = 60
(C) 25×2.4 = 60
(D) 45×1.2 = 54 . . . . . not a possible pair of corresponding values.
45 and 1.2 are not a possible solution for x and y.
15. In a school, the ratio of boys and girls is 4:5, when 100 girls leave the school, the ratio becomes 6:7. How many boys are there in the school
Step-by-step explanation:
the ratio of boys and girls is equal to 4:5
let the number of boys be x
and the number of girls be y
so form 1st statement
x:y=4:5
now 2nd statements
x:y-100=6:7
Therefore solving equations 1 and 2
x=1200
y=1500
Tìm hai số có tổng là 177. Nếu bớt số thứ nhất đi 17 đơn vị và thêm vào số thứ 25 đơn vị thì số thứ nhất sẽ bằng 2/3 số thứ 2
Trả lời:
86 và 91
Giải thích từng bước:
Cho hai số là x và y. Nếu tổng của chúng là 177, thì;
x + y = 177 ... 1
Nếu 17 bị trừ đi số đầu tiên, nó được biểu thị là x - 17
Nếu 25 được thêm vào số thứ hai l, nó được biểu thị bằng y + 25
Nếu số thứ nhất bây giờ bằng 2/3 số thứ hai, thì:
x-17 = 2/3 (y + 25) .... 2
Từ 1, x = 177-y ... 3
Thay thế 3 thành 2
177-y-17 = 2/3 (y + 25)
160-y = 2/3 (y + 25)
3 (160-y) = 2 (y + 25)
480-3y = 2y + 50
-3y-2y = 50-480
-5y = -430
y = 430/5
y = 86
Vì x = 177-y
x = 177-86
x = 91
Do đó hai số là 86 và 91
4. What is the volume of the pyramid?
7 ft
9 ft
10 ft
Find the distance between points (a,b) and Q -a,-b)
Answer:
d = 2* sqrt(a^2 + b^2)
Step-by-step explanation:
Interesting question. You should begin by noting that 0 is not the answer although it looks like it should be.
P = (a,b)
Q= (-a,-b)
x1 = a
x2 = - a
y1 = b
y2 = - b
d = sqrt( (x2 - x1)^2 + (y2 - y1)^2 )
d = sqrt( (-a - a)^2 + (-b - b)^2 )
d = sqrt ( -2a)^2 + - (2b)^2 )
d = sqrt(4a^2 + 4b^3)
d = 2* sqrt(a^2 + b^2)
what does range mean in maths
Line A has the equation: y = 2x + 5.
Determine the equation of line B when it is parallel to line A and passes through (0 , -4).
Answer:
y=2x-4
Step-by-step explanation:
The slope of the line is 2 and y intercept is - 4. The equation will be y=2x-4
A conical lid’s height is 2 centimeters less than the radius, x, of its base. If the lid is made of 25π cubic centimeters of clay, the equation x3 +? x2 +? = 0 can be used to find that the radius of lid’s base is centimeters.
The required expression that can be used to find the radius of the conical lid's with a height 2 centimeters less than the radius, x, of its base is x³-2x²-75 = 0
The formula for calculating the volume of the conical lid's is expressed as
[tex]V = \frac{1}{3} \pi r^2h[/tex] where:
r is the radius
h is the height
v is the volume
Given the following
r = x
If the conical lid’s height is 2 centimeters less than the radius, x, then;
h = x - 2
V = 25π cm³
Substitute the given values into the formula as shown:
[tex]25 \pi = \frac{1}{3} \pi x^2 (x-2)\\3(25) = x^2(x-2)\\Expand\\75=x^3-2x^2\\Swap\\x^3-2x^2 = 75\\Equate \ to \ zero\\x^3-2x^2 - 75 = 0[/tex]
Hence the required expression that can be used to find the radius of the conical lid's with a height 2 centimeters less than the radius, x, of its base is x³-2x²-75 = 0
please help me with this also if your good at geometry please dm me I need serious help!!
Answer:
0.92
Step-by-step explanation:
cosine = adjacent/ hypotenuse
cosine of t = 12/ 13
cos t= 0.92308
Complete each congruency statement and name the rule used. If you cannot show the triangles are congruent from the given information, leave the triangle's name blank and write CNBD for "Cannot be determined" in place of the rule. b BA ∩ LC = K ∆BLK ≅ ∆ ______ by _______. PLZ ANSWER FAST!!!!!!!!
Answer:
Cannot be determined.
Step-by-step explanation:
The triangle has three different angles which are not congruent. The sides of the two triangle are not equal therefore these triangle are not determined to be congruent. These triangles share their three angles but not the three sides.
please show work it’s for calc
Answer:
24
Step-by-step explanation:
The question is asking for the net area from x=3 to x=10.
It gives you the net area from x=3 to x=5 being -18.
It gives you the net area from x=5 to x=10, being 42.
Together those intervals make up the interval we want to find the net area for.
-18+42=42-18=24
Answer:
[tex]\displaystyle \int\limits^{10}_3 {f(t)} \, dt = 24[/tex]
General Formulas and Concepts:
Calculus
Integration
IntegralsIntegration Property [Splitting Integral]: [tex]\displaystyle \int\limits^c_a {f(x)} \, dx = \int\limits^b_a {f(x)} \, dx + \int\limits^c_b {f(x)} \, dx[/tex]
Step-by-step explanation:
Step 1: Define
Identify
[tex]\displaystyle \int\limits^{5}_3 {f(t)} \, dt = -18[/tex]
[tex]\displaystyle \int\limits^{10}_5 {f(t)} \, dt = 42[/tex]
[tex]\displaystyle \int\limits^{10}_3 {f(t)} \, dt[/tex]
Step 2: Integrate
[Integral] Rewrite [Integration Property - Splitting Integral]: [tex]\displaystyle \int\limits^{10}_3 {f(t)} \, dt = 24 = \int\limits^5_3 {f(t)} \, dt + \int\limits^{10}_5 {f(t)} \, dt[/tex][Integrals] Substitute: [tex]\displaystyle \int\limits^{10}_3 {f(t)} \, dt = 24 = -18 + 42[/tex]Simplify: [tex]\displaystyle \int\limits^{10}_3 {f(t)} \, dt = 24[/tex]Topic: AP Calculus AB/BC (Calculus I/I + II)
Unit: Integration
Write an expression for the sequence of operations described below.
the product of the quotient of y and 7 and the sum of 4 and 9
Do not simplify any part of the expression.
Answer:
(y/7)x(4+9)
Step-by-step explanation:
statement one y/7
statement two 4+9
(y/7)x(4+7)
Solve the equation using the zero-product property.
(2x − 8)(7x + 5) = 0
Answer:
x=4and -5/7
Step-by-step explanation:
i hope it will be easy
[tex]\huge\text{Hey there!}[/tex]
[tex]\large\text{Equation}\downarrow[/tex]
[tex]\large\textsf{(2x - 8)(7x + 5) = 0}[/tex]
[tex]\large\text{Step-by-Step}\downarrow[/tex]
[tex]\large\text{SIMPLIFY EACH SIDES OF THE EQUATION}[/tex]
[tex]\large\textsf{14x}\mathsf{^2} \large\textsf{ - 14x - 40 = 0}[/tex]
[tex]\large\text{FACTOR the LEFT SIDE of the EQUATION}[/tex]
[tex]\large\textsf{2 (7x + 5) (x - 4) = 0}[/tex]
[tex]\large\text{SET the FACTORS to EQUAL 0}[/tex]
[tex]\large\textsf{7x + 5 = 0 OR x - 4 = 0}[/tex]
[tex]\large\text{SIMPLIFY BOTH OF YOUR EQUATIONS \& YOU HAVE YOUR ANSWER}[/tex]
[tex]\boxed{\boxed{\large\textsf{Therefore, your ANSWER is: \bf x = }\mathsf{\bf - \dfrac{5}{7}\large\textsf{ \bf or x = 4}}}} \huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
Bob has a pyramid with a volume of 14. He'd like to create a second pyramid with a volume of 28. Which would guarantee he gets the desired
result?
O Double each side of the base of the pyramid.
O Double one side of the base of the pyramid.
O Double the slant height.
• Double the height.
Answer:
D
Step-by-step explanation:
Doubling the height will guarantee that the volume gets twice since V=(1/3)*B*h
If Bob wants to create a pyramid of volume 28 then he needs to double the height of the pyramid.
What is a pyramid?Design or construction with a base that is a polygon and sides that are three or more triangles that come together at the top.
A pyramid is a 3D shape where 3 triangle comes and meet in such a way that the base side creates a triangle.
The volume of a pyramid is given by
Volume = (1/3)base²×height.
Let say
Base width is = w
Height is = h
Volume V = w²h/3
Given
14 = w²h/3
For volume to be 28
28 = w²(2h)/3
So it is clear that he needs to double the height.
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The match starts at 14 55 and ends 1 hour 50 minutes later. Work out the time the match ends
Does this graph represent a function (scatter)
A. Yes
B. No
Answer:
A. Yes
Step-by-step explanation:
it is always yes because no os negative
Answer
a
Step-by-step explanation:
it does represent a function
What is the slope of a line parallel to line B?
