Answer:
[tex]Given:[/tex]
[tex]8x-6 > 12 + 2x[/tex]
[tex]8x-2x>12+6[/tex]
[tex]6x>18[/tex]
[tex]x>18/6[/tex]
[tex]x>3[/tex]
[tex]5>3[/tex]
[tex]ANSWER: D)\:5[/tex]
------------------------
Hope it helps...
Have a great day!!
Find the height in centimeters of a square pyramid with a volume of 72cm^ 3 and a base edge length equal to the height
Answer:
The height of the pyramid is 6 cm.
Step-by-step explanation:
The volume of a square pyramid is given by:
[tex] V = \frac{1}{3}A_{b}h = 72 cm^{3} [/tex]
Where:
[tex]A_{b}[/tex]: is the area of the base
h: is the height
Since the base edge length is equal to the height, the area of the base is:
[tex]A_{b} = l^{2} = h^{2} [/tex]
Hence, the height is:
[tex] 72 cm^{3} = \frac{1}{3}A_{b}h = \frac{1}{3}h^{2}h [/tex]
[tex] h = (3*72 cm^{3})^{1/3} = 6 cm [/tex]
Therefore, the height of the pyramid is 6 cm.
I hope it helps you!
What happens when the weather gets colder?
A.The air pressure will decrease slowly.
B. The air pressure will rise.
C.The air pressure will decrease quickly.
D. The air pressure will not change.
Step-by-step explanation:
B. The air pressure will rise.
hope this helps you
have a nice day
Answer:
B
Step-by-step explanation:
4. Name the first five terms of the arithmetic sequence. a1 = -35, d=4
Answer:
Step-by-step explanation:
We first have to write the equation for the sequence, then finding the first five terms will be easy. Follow the formatting:
[tex]a_n=a_1+d(n-1)[/tex] and we are given enough info to fill in:
[tex]a_n=-35+4(n-1)[/tex] and
[tex]a_n=-35+4n-4[/tex] and
[tex]a_n=-39+4n[/tex] or in linear format:
[tex]a_n=4n-39[/tex] where n is the position of the number in the sequence. We already know the first term is -35.
The second term:
[tex]a_2=4(2)-39[/tex] so
[tex]a_2=8-39[/tex] and
[tex]a_2=-31[/tex]
The third term:
[tex]a_3=4(3)-39[/tex] and
[tex]a_3=12-39[/tex] so
[tex]a_3=-27[/tex] and we could go on like this forever, but the nice thing about this is when we know the difference all we have to do is add it to each number to get to the next number.
That means that the fourth term will be -27 + 4 which is -23.
The fifth term then will be -23 + 4 which is -19. You can check yourself by filling in a 5 for n in the equation and solving:
[tex]a_5=4(5)-39[/tex] and
[tex]a_5=20-39[/tex] so
[tex]a_5=-19[/tex]
Find the value of each variable.
Step-by-step explanation:
180 - 37 = x angles on a straight line
x = 40
180 - 40 = y angles on a straight line
y = 140
180 - 140 = z angles om a straight line
z = 40
Calculate the mean, median, and mode of the following set of data. Round to the nearest tenth. 7,3,2,1,13,8,1,5,14,11,15
Step-by-step explanation:
7+3+2+1+13+8+1+5+14+11+15= 80(total scores)
number of scores is 11, then divide 80 by 11
ans=7.27
The graph shows a line and two similar triangles.
On a coordinate plane, a line goes through (0, 0) and (6, 4). A small triangle has a rise of 2 and run of 3. A larger triangle has a rise of 4 and run of 6.
Which expression finds the equation of the line?
StartFraction y Over x EndFraction = three-halves
StartFraction y Over x EndFraction = two-thirds
StartFraction y Over 2 EndFraction = StartFraction 3 Over x EndFraction
StartFraction y Over 3 EndFraction = StartFraction x Over 2 EndFraction
Answer: Choice B) [tex]\frac{y}{x} = \frac{2}{3}[/tex]
This is the same as saying y/x = 2/3
Or I suppose you could say "y over x = two-thirds".
===============================================
Explanation:
Recall that slope is rise over run
slope = rise/run
The rise being the change in y, while the run is the change in x.
So we could informally think of it as slope = y/x
-----------
Since we're told that it "has a rise of 2 and run of 3", this means slope = 2/3.
The slope is both y/x and also 2/3.
Equating the two expressions leads us to y/x = 2/3. This is why choice B is the final answer.
-----------
Side notes:
This trick only works when the line goes through the origin (0,0)To rephrase the last bullet point, the line must have y intercept 0.If you multiplied both sides by x, then you get y = (2/3)xAnswer:
B
Step-by-step explanation:
(-_-)
At the movie theatre, child admission is $5.20 and adult admission is $9.00. On Monday, 156 tickets were sold for a total sales of $1065.80. How many adult
tickets were sold that day?
Answer:
67 adult tickets were sold that day
Step-by-step explanation:
x= Number of adults that day, y=Number of children that day
ATQ, x+y=156 and 5.2*x+9*y=1065.8. Solving it, we will get x=89 and y=67
Help!!
I think I got these wrong, so please help!! Thank you!
Answer:
(x+3)(x+4)(x-4)
x+2 and x-3 are not factors but x-4 is
Step-by-step explanation:
let's factor it :)
x^3 + 3x^2 - 16x -48
first we will factor this:
x^3 + 3x^2
x^2(x + 3)
then factor the second part :
- 16x - 48
-16(x + 3)
so now,
x^2(x + 3) - 16(x + 3)
factor out x+3
(x+3)(x^2 - 16)
factor x^2 - 16
(x+3)(x+4)(x-4)
find the measure of x . Answer me please
Answer:
40
Step-by-step explanation:
The sum of measure of exterior angles is equal to 360
5x-20+2x+5+x+15+x = 360 add like terms
9x = 360 divide both sides by 9
x = 40
quickly answer i am in a rush!
Answer:
-4/5
Step-by-step explanation:
sin theta = opp/ hyp
sin theta = -3 /5
Using the Pythagorean theorem
opp ^2 + adj ^2 = hyp ^2
(-3) ^2 + adj ^2 = 5^2
9+ adj ^2 = 25
adj ^2 = 25 - 9
adj ^2 = 16
Taking the square root of each side
adj = ±4
Since we are in the 3rd quadrant sin and cos are both negative so adj must be negative
adj = -4
cos theta = adj / hyp
cos theta = -4/5
The distance traveled (in meters) by a frog is modeled by the equation d=0.2t where d is the distance traveled in meters and t is the time in minutes. Find the distance traveled in 25 minutes
Answer:
5 meters traveled in distance.
Step-by-step explanation:
Since we are finding the distance of a frog traveling ? distance in 25 mins, we can substitute t for 25. If we do, 0.2 x 25 = 5, d = 5.
Hope this helps!
how would one solve this
A computer company makes a rectangular screen with a diagonal of 20 inches. The width of the screen is 4 inches less than its length. The dimensions of the computer screen are modeled by the equation x2 + (x – 4)2 = 202. What is the value of x, the length of the screen? x = –16 x = –12 x = 12 x = 16
Answer:
Step-by-step explanation:
x = length of screen
x-4 = width of screen
x² + (x-4)² = 20²
x² + (x²-8x+16) = 400
2x² - 8x - 384 = 0
x² - 4x - 192 = 0
use the quadratic formula to solve for x
x = [4 ± √(4²-4·1(-192))]/[2·1]
= [4 ± √784]/2
= 4 ± 28]/2
= 16, -12
-12 is an extraneous solution, so x = 16 inches.
:::::
Exponents need to be marked with a ^. For example, (x-4)² can be written (x-4)^2.
Answer:
x = 16
Step-by-step explanation:
The answer above is correct.
keep the body and soul together .....what figure of speech is contained in the sentence
Answer:
The expression "Keep body and soul together" is an idiom, a well-known phrase or collection of words that together mean something distinctly.
The vertices of the polygon are A (3,5), B (6,5), C (6, 9), and D (3,9). Find the distance between the vertices B and C.
Answer:
4
Step-by-step explanation:
B = (6,5) C = (6,9)
√(x2 - x1)² + (y2 - y1)²
√(6 - 6)² + (9 - 5)²
√(0)² + (4)²
√16
= 4
2. Jessica is applying for a new job as a cosmetologist. Job A offers $40,000 starting salary with at $1000 raise
each year . Job B offers $35,000 starting salary with a 8% raise each year. If Jessica is looking to stay at this
position for over 10+ years, which job should she pick?
Answer:
Job B
Step-by-step explanation:
If we calculate her salary after 10 years
For job A:
it would be 40,000+10,000=$50,000
For job B:
it would be $75,562.3749
How does the formula for the sample mean differ from the formula for population mean? Multiple choice question. To calculate the sample mean, you divide by the sample number plus one. The formulas are functionally the same, but 'n' (the sample size) is used instead of 'N' (the population size). For sample mean, the sum of values is divided by the number of values minus one.
Answer:
The formulas are functionally the same, but 'n' (the sample size) is used instead of 'N' (the population size).
Step-by-step explanation:
The sample mean is the average value for a set of observations which is derived from a population. While the population mean is the average value for the entire set of observation belonging to a particular study of interest.
The set of observation belonging to a population is denoted by 'N' ; while the sample size is denoted as 'n' :
The mean formula is written thus :
Population mean = Σx / N
Sample mean = Σx / n
Where, x = set of values.
50 Points:
What are the coordinates of the point that is
2/3 of the way from A to B?
Point A: -4,-1
Point B: 5,5
A. 1,2
B. 0,5/3
C. 2,3
D. -1,1
Answer:
(-2,3)
Step-by-step explanation:
For the point to be 2/3 of the way; it means it divides AB into the ratio 2 to 1
Now, we can use the internal section formula to get the coordinates of this point
(x,y) = (nx1 + mx2)/(m + n), (ny1 + my2)/(m + n)
where (m,n) = (2,1)
(x1,y1) = (-4,-1)
(x2,y2) = (5,5)
(x,y) = (1(-4) + 2(-1)/(1+2), (1(-1)+2(5)/(1+2)
(x,y) = (-4-2)/3, (-1 + 10)/3
(x,y) = (-2,3)
Estimate the product of 32 and 19 ?
Answer:
608
Step-by-step explanation:
32 x 19
= 32 x ( 10 + 9 )
= 320 + 288
= 608
HELP ASAP Simplify the following polynomial expression. The polynomial simplifies to an expression that is a ____ _______ with a degree of ___.
Answer:
The polynomial simplifies to an expression that is a
quadratic trinomial with a degree of 2 .
Step-by-step explanation:
trial and error
Answer:
Have a great rest of your day :)
Step-by-step explanation:
Simplify 3x+2x
BRAINLIEST
Answer:
5x
Step-by-step explanation:
3x+2x
Combine like terms
x(3+2)
x(5)
5x
Answer:
5x
Step-by-step explanation:
3x + 2x
Step 1 :- Calculate like terms by adding their coefficient.
( 2 + 3 ) xStep 2 :- Combine like terms.
( 5 ) xStep 3 :- Multiply ; 5 times x.
5xHow do we find an equation of a linear function by giving two
points
Answer:
the right side of the image is truncated,
but "A" seems to be the answer....
take (2,3) and (3,4)
#1) y2-y2/x2-x1 ... 4-3/3-2 = 1 ... slope = 1
#2 ) y = 1x + b
#3 plug in (2,3) ... 3 = 1(2) + b ... B=1
#4 Y= 1 x + 1
Step-by-step explanation:
Cuánto dinero me gasto en colocarle baldosas a una sala comedor que tiene 9.30 de largo por 4.20 metros de ancho
La pregunta está incompleta ya que no se da el costo de la colocación de baldosas por m².
Suponga que el costo de los mosaicos por m² = c
Respuesta:
39.06c
Explicación paso a paso:
El costo del embaldosado será:
El costo por m² * área total a embaldosar
Dado que :
La dimensión de la habitación a embaldosar es:
Longitud = 9,30 metros
Ancho = 4.20 metros
El área total de la habitación a embaldosar es = Largo * ancho
Área total de la habitación a embaldosar = 9,30 m * 4,20 m
Superficie total de la habitación a embaldosar = 39,06 m²
Si el costo del mosaico por m² = c
El costo de embaldosar la habitación será:
39,06 * c = 39,06c
Describe the relationship between the area of a circle and it’s circumference
Answer: We know that for any circle with radius r the formula for the area and circumference of the circle is given as: Area of circle=πr². ... Hence, to describe the relationship between the area of a circle and its circumference. The Area of circle is 1/2 times the radius times the circumference.
Step-by-step explanation:
The dimensions of a conical funnel are shown below: A conical funnel is shown with the height of the cone as 8 inches and the radius of the base as 3 inches. Nisha closes the nozzle of the funnel and fills it completely with a liquid. She then opens the nozzle. If the liquid drips at the rate of 15 cubic inches per minute, how long will it take for all the liquid to pass through the nozzle? (Use π = 3.14.) 3.34 minutes 5.02 minutes 13.39 minutes 15.07 minutes
Answer:
B
Step-by-step explanation:
r=3 in
h=8 in
Volume of funnel
[tex]V=\frac{1}{3}\pi r^2h\\=\frac{1}{3} \times 3.14 \times 3^2 \times 8\\=75.36 in.^3\\time ~taken~to~drip out=\frac{75.36}{15}\\\approx 5.02~minutes.[/tex]
Answer:
5.02 is right
Step-by-step explanation:
i hope this helps
please tell this question answer I dont know
Answer:
a (26+10)-2 =34
b (34+42)-42 = 34
c ( 39+40)-45 =34
d (52+25)-43 =34
e(25+22)-13 =34
f (47+11)-24 =34
g(59+19)-35 =34
h (71 +7)-44= 34
solved
Assume that abc = pqr. Which of the following congruence statements are correct? Check all that apply
Answer:
A and E are correct congruence statements.
Answer:
A E
Step-by-step explanation:
I NEED THIS NOWW HELPP REAL ANSWERS ONLY WILL GRANT BRAINLIEST
Answer:
Reflect over the y-axis, vertically stretch by a factor of 3, and then shift down 1 unit
Step-by-step explanation:
The general form of the straight line equation is, y = m·x + c
Where;
m = The slope
c = The y-intercept
The parent function is, f(x) = x
The slope of the parent function, m₁ = 1
The y-intercept of the parent function, c₁ = 0
The x-intercept of the parent function = 0
The equation of the given function g(x) is derived as follows;
Two points on the line g(x) are (-2, 5) and (1, -4)
The slope of g(x), m₂ = (-4 - 5)/(1 - (-2)) = -3
The equation of g(x) is therefore;
y - 5 = -3 × (x - (-2)) = -3·x - 6
∴ y = -3·x - 6 + 5 = -3·x - 1
y = -3·x - 1
The slope of the given function, m₂ = -3
The y-intercept of the given function, c₂ = -1
The x-intercept of the function = -1
We have that a reflection of (x, y) across the y-axis gives (-x, y)
Therefore, the function g(x) is a reflection of f(x) across the y-axis
The slope of g(x) = -3 × The slope of f(x), therefore, g(x) is obtained by a vertical stretch of of f(x) by a factor of 3
The y-intercept of g(x) is lower than the y-intercept of g(x) by -1, therefore, f(x) is shifted down vertically by 1 unit to obtain g(x)
Therefore, the sequence of transformation that can be used to obtain g(x) from the parent function f(x) are;
Reflect over the y-axis, vertically stretch by a factor of 3, and then shift down 1 unit
Please if someone can help me
[tex]\huge\underline\gray{✏ANSWER}[/tex]
[tex] \frac{6}{7} [/tex]
I hope it helps!
#BrainliestBunch
WILL GIVE BRANLIEST AND BE SOOO HAPPY PLEASE HELP!!! 30 POINTS SHARE YOUR SMARTNESS!!
Step-by-step explanation:
For the 1st picture,
The 2nd option is the answer.
Let say we have
[tex] a_{3}[/tex]
Replace it into the recursive formula.
[tex] a_{3} = a_{3 - 2} + (a) _{3 - 1}[/tex]
We are given a,1 and a,2 so the 3rd terms has to be
[tex]2[/tex]
So the second option is the answer.
For the second picture, a geometric sequence is a group of terms that has the same ratio between each consecutively.
Infinite means going on forever
The fourth option is the answer.
Answer:
1,1,2,3,5
part #2 none are exactly correct... the terms go on forever, so 1 &2 are out...
the "difference" is definitely not the same, so three is out..
4 is the closest, but the ratio is not the same, there is a trend in the ratio..
this is the Fibonacci sequence, and the ratio trends toward the "golden ratio" ( φ -phi) but never is exactly φ because φ is irrational
Step-by-step explanation: