Answer:
9
Step-by-step explanation:
2/3 = 2/3 × 3/3 = 6/9
7/9 = 7/9 × 1/1 = 7/9
Find the volume *
5 in
12 in
7 in
Answer:
420
Step-by-step explanation:
multiply them by each other
Answer:
420 square inches
Step-by-step explanation:
(5x12)x7=?
12x5=60
60x7=420
(5x12)x7=420
Hope this helped!
Question 2 Please help. Find the arc length for the following:
Answer:
The answer is 9.4 units.
Mariam bought 8 gallon of gas for $31.12. How much would she pay for 11
gallons of gas at this same rate?
Answer:
$42.79
Step-by-step explanation:
Divide $31.12 by 8 to get how much money you pay for 1 gallon and multiply it by 11 to get how much to pay for 11 gallons.
A cosine function is a reflection of its parent function over the x-axis. The amplitude of the function is 11, the vertical shift is 9 units down, and the period of the function is 7pi/12. The graph of the function does not show a phase shift. What is the equation of the cosine function described?
Fill in the blanks using values from this list: -20, -11, -9, -2, 2, 9, 11, 20, 7pi/12,12pi/7,7/24,24/7
f(x)=___cos(_____x)______
We have been given that a cosine function is a reflection of its parent function over the x-axis. The amplitude of the function is 11, the vertical shift is 9 units down, and the period of the function is [tex]\frac{7\pi}{12}[/tex]. The graph of the function does not show a phase shift. We are asked to write the equation of our function.
We know that general form a cosine function is [tex]y=A\cos(b(x-c))-d[/tex], where,
A = Amplitude,
[tex]\frac{2\pi}{b}[/tex] = Period,
c = Horizontal shift,
d = Vertical shift.
The equation of parent cosine function is [tex]y=\cos(x)[/tex]. Since function is reflected about x-axis, so our function will be [tex]y=-\cos(x)[/tex].
Let us find the value of b.
[tex]\frac{2\pi}{b}=\frac{7\pi}{12}[/tex]
[tex]7\pi\cdot b=24\pi[/tex]
[tex]\frac{7\pi\cdot b}{7\pi}=\frac{24\pi}{7\pi}[/tex]
[tex]b=\frac{24}{7}[/tex]
Upon substituting our given values in general cosine function, we will get:
[tex]f(x)=-11\cos(\frac{24}{7}x)-9[/tex]
Therefore, our required function would be [tex]f(x)=-11\cos(\frac{24}{7}x)-9[/tex].
Find the magnitude of a particle's acceleration vector at t = 0 for a particle moving with position vector [tex]r(t)-(cos(t),t^3)[/tex]
1
0
2
3
Thank you
Answer:
1
Step-by-step explanation:
r(t) = (cos t, t³)
Take first derivative to find velocity:
v(t) = dr/dt
v(t) = (-sin t, 3t²)
Take derivative again to find acceleration:
a(t) = dv/dt
a(t) = (-cos t, 6t)
At t=0, the acceleration's magnitude is:
a(0) = (-1, 0)
|a(0)| = √((-1)² + 0²)
|a(0)| = 1
What the percent of 160 is 56? Use the bar model
Answer:
35%
Step-by-step explanation:
See attached for visual
160= 8*20 8 = 1/20 = 5% of 16056= 8*77*5% = 35%56 is 35% of 160
Anyone understand how to do this?
Answer:
f ( x ) = - 2x^2 + 3x + 1
Step-by-step explanation:
If f (x ) extends to → − ∞, as x→ − ∞ , provided f(x) → − ∞, as x → +∞, we can rewrite this representation as such;
− ∞ < x < ∞, while y > − ∞
Now the simplest representation of this parabola is f ( x ) = - x^2, provided it is a down - facing parabola;
If we are considering a down - facing parabola, the degree of this trinomial we should create should be even, the LCM being negative. Knowing that we can consider this equation;
Solution; f ( x ) = - 2x^2 + 3x + 1, where the degree is 2, the LCM ⇒ - 2
Solve the following quadratic equation: (x-16)^2= 256
Answer:
x = 32 or x = 0
Step-by-step explanation:
(x - 16)² = 256
Expand and simplify the equation.
x² − 32x + 256 = 256
Subtract 256 from either side of the equation.
x² − 32x + 256 − 256 = 256 − 256
Simplify the equation.
x² - 32x = 0
Factor and set the factors to 0.
x = 0 or x = 32
The answer is x = 0 or x = 32.
I have done this test on Plato/Edmentum. I can promise this answer is correct, I've gotten a 5/5.
Good luck ^^
How do you solve this question? With a step by step explanation please!
[tex]\frac{1}{4}x + 2 = -3 + \frac{1}{2} x[/tex]
First, we will take [tex]\frac{1}{4}[/tex]x to the right hand side of the equation, and -3 to the left hand side. In doing so, their signs will change (that is, they will be subtracted from the side that they are moved to).
2 -(-3) = [tex]\frac{1}{2} x - \frac{1}{4} x[/tex]
2 + 3 = [tex]\frac{1}{4}[/tex]x
[tex]\frac{1}{4} x = 5[/tex]
Now, we will multiply both sides by 4, so as to find x.
[tex]\frac{1}{4} x[/tex] x 4 = 5 x 4
x = 20
Therefore, x = 20.
The combustion of 0.25 mol of an unknown
organic compound results in the release of 320 kJ
of energy. Which of the compounds in the table
could be the unknown compound?
Answer:
ethanol
Step-by-step explanation:
The enthalpy of combustion is the amount of heat produced when one mole of ethanol undergoes complete combustion at 25 ° C and 1 atmosphere pressure, yielding products also at 25 ° C and 1 atm.
The enthalpy of combustion of the unknown compound is
ΔH = - 320 kJ / 0.25 mol = - 1280 kJ / mol
To choose a probable compound according to this combustion enthalpy, we must evaluate the deviation in relation to the values reported in the literature for the three probable compounds (methane, ethylene and ethanol). The deviation (e%) will be calculated according to the following equation,
e% = ( | ΔHx - ΔH | / ΔHx ) x 100%
where ΔHx is the enthalpy of combustion of the probable compound.
The following table shows the combustion enthalpies of the probable compounds and their deviation in relation to the enthalpy of ΔH = - 1280 kJ / mol
Compound Enthalpy of combustion (kJ/mol) Deviation
Methane - 890.7 43.8%
Ehylene -1411.2 9.3%
Ethanol -1368.6 6.5%
According to the previous table, we can say that the most probable compound is ethanol, since it has the smallest deviation in relation to the experimental enthalpy value of combustion.
Read more on Brainly.com - https://brainly.com/question/12081414#readmore
Answer: ethanol
Step-by-step explanation:
Got it right on edge
There are 197 oak trees in the park. There are 27 more pine trees than oak trees in the park how many trees are there in all
just add.................
197 + 27 = 224
hope this helps
Which is the simplified form of m Superscript negative 8 p Superscript 0?
StartFraction 1 Over m Superscript 8 Baseline p EndFraction
StartFraction 1 Over m Superscript 8 EndFraction
StartFraction p over m Superscript 8 EndFraction
m Superscript 8
i think it is C
Step-by-step explanation:
Answer:
1 or D
Step-by-step explanation:
DESPERATE GEOMETRY HELP!!!
Answer:
b. 3
Step-by-step explanation:
pi * r^2 * h = 162 pi
plug in 18 ft for h
pi * r^2 * (18) = 162 pi
simplifies to r^2 = 9
r=3
Visitors to a public library were asked how many miles they lived from the library. The table shows their responses.
Number of miles
1.5 2.3 3.5 2 1.8
1.8 1.9 0.5 2.5 2.4
4.8 3.7 0.6 2 2.4
2.5 1.5 0.5 1.8 0.8
Of these visitors, the first 10 people to check out books lived the following miles from the library.
Number of miles
0.5 1.8 0.8 1.8 3.5
4.8 0.6 2 1.5 0.5
What is the sample mean for the data?
Enter your answer in the box.
x¯ = __ mi
Answer:
The sample mean = 1.8
Step-by-step explanation:
I just completed the test and this was the correct answer
The sample mean for the data is 1.8 if the first 10 people to check out books lived out of 20 population.
What are population and sample?It is defined as the group of data having the same entity which is related to some problems. The sample is a subset of the population, it is a part of the population.
We have:
Total number of population = 20
To calculate the sample mean:
Total number of samples N = 10
Sum of the sample values ∑x = 0.5+1.8+0.8+1.8+3.5+4.8+ 0.6+ 2+1.5+0.5
∑x = 17.8
Now the mean of the sample data = ∑x/N = 17.8/10 = 1.78 ≈ 1.8
Thus, the sample mean for the data is 1.8 if the first 10 people to check out books lived out of 20 population.
Learn more about the population and sample here:
brainly.com/question/9295991
#SPJ2
Zugo delivers muffins for the Pastry-and-Muffin company. Each muffin is packed in its own
little box. An individual muffin box has the shape of a cube, measuring three inches on
each side. Zugo packs the individual muffin boxes into a larger box. The larger box is also
in the shape of a cube, measuring two feet on each side. How many of the individual
muffin boxes can fit into the larger box?
Answer:
512
Step-by-step explanation:
You can figure this a couple of ways.
1) Figure the number of muffin boxes that goes into each dimension of the larger box:
(2 ft)/(3 in) = (24 in)/(3 in) = 8 . . . . muffin boxes in each direction.
Then the total number of muffin boxes that will fit in a larger box is ...
8×8×8 = 512
512 muffin boxes can fit into the larger box.
__
2) The volume of a muffin box in cubic feet is ...
((3 in)/(12 in/ft))^3 = (1/4 ft)^3 = 1/64 ft^3
The volume of a larger box in cubic feet is ...
(2 ft)^3 = 8 ft^3
Then the number of smaller boxes that will fit in the larger box is ...
(8 ft^3)/(1/64 ft^3) = 8×64 = 512
512 muffin boxes can fit into the larger box.
A rectangular playground is 10m longer than it is wide.The area of the playground is 1400m² Calculate the width and length of the playground. solve using quadratic formula please?
Answer:
[tex] 1400 = x(x+10)= x^2 +10x[/tex]
We can rewrite this expression like this:
[tex] x^2 +10 x -1400 =0[/tex]
And we can use the quadratic formula given by:
[tex] x = \frac{-b \pm \sqrt{b^2 -4ac}}{2a}[/tex]
Where [tex] a =1 , b=10 , c= -1400[/tex]
And replacing we got:
[tex] x = \frac{-10 \pm \sqrt{10^2 -4(10)(-1400)}}{2*1}[/tex]
And solving we got:
[tex] x_1 =32.75 , x_2 = -42.75[/tex]
And since the value can't be negative the answer would be x = 32.75 and the value of y = 32.75+10 =42.75
Step-by-step explanation:
For this case we know that we have a rectangular playground and the area can be founded with this formula:
[tex] A = xy[/tex]
Where x represent the width and y the length. From the problem we know that A =1400 m^2 and the heigth is 10m longer than the wide so we can write this condition as:
[tex] y = 10 +x [/tex]
And replacing this formula into the area we got:
[tex] 1400 = x(x+10)= x^2 +10x[/tex]
We can rewrite this expression like this:
[tex] x^2 +10 x -1400 =0[/tex]
And we can use the quadratic formula given by:
[tex] x = \frac{-b \pm \sqrt{b^2 -4ac}}{2a}[/tex]
Where [tex] a =1 , b=10 , c= -1400[/tex]
And replacing we got:
[tex] x = \frac{-10 \pm \sqrt{10^2 -4(10)(-1400)}}{2*1}[/tex]
And solving we got:
[tex] x_1 =32.75 , x_2 = -42.75[/tex]
And since the value can't be negative the answer would be x = 32.75 and the value of y = 32.75+10 =42.75
Answer:
Step-by-step explanation:
Given Data:
Area = 1400m²
L = 4+w
W= w
Area = L * W
1400 = ( 4+W) W ²
1400 = 4w + w ²
w ² + 4w - 1400 = 0
- b ± √ b ² - 4ac / 2a
Where;
a = 1
b = 4
c = -1400
- 4 ± √4² - 4(1)(-1400) / 2(1)
= - 4 ± 74.94 /2
= - 4 + 74.94 / 2 or - 4 - 74.94 / 2
= 35.47 or - 39.47
Please answer.....................................
Answer:
1.25 + r = 4
1.25 - 1.25 + r = 4 - 1.25
r = 2.75
first option is the answer
Step-by-step explanation:
1. subtract 1.25 from both sides
Real World Problems with Rational Numbers
26
Directions: Drag each point to the correct location on the number line.
Jean climbed 3 of the distance to the top of the cliff as shown on the number line. Terry climbed 3 of the distance less than Jean.
Steve climbed 5 of the distance more than Jean. Drag the points to the correct locations on the number line.
Terry
Steve
1
Answer:
aiaavaobsoavvdiabajiaveoaveugwviaoqjavdjoagw
what is a measure of an angle between the perpendicular
bisectors of two adjacent sides of a regular polygon 3
Sides ?
Answer:
2/5*180=72
360/72=5
as simple as that you just need to read on polygons
Step-by-step explanation:
pls give me brainlyist
y−5/3 = 4/5
HELP ME!!
Answer:
Y=37/15
Step-by-step explanation:
Y=5/3+4/5
Y=(25+12)/15
Y=37/15
Hope you understand
Simplify the expression. Write your answer as a power. (−3)^4(−3)^1
Answer:
-243
Step-by-step explanation:
Round off 9852 to 1 significant figure
Answer:
10000
Step-by-step explanation:
9852
Means we are rounding to the thousands place
We look at the hundreds place
8 is greater than or equal to 5 so we round the thousands place up
9 becomes 10
9852 becomes 10,000
Answer:
Step-by-step explanation:
10000
Which of the following values is a solution to the inequality? 12 – 5x > -8
Answer:
x < 4
Step-by-step explanation:
12 – 5x > -8
Subtract 12 from each side
12-12 – 5x > -8-12
-5x> -20
Divide each side by -5, remembering to flip the inequality
-5x/-5 < -20/-5
x < 4
Which table represents a linear function?
Answer: C
Step-by-step explanation:
when x increases by 1 y increases by 2 and is consistent
hope this helps :3
A soda manufacturer knows that sales of soda increase during the summer. To make sure that they get a large portion of the sales, they decide to offer a contest throughout the spring. The contest is pretty simple: when you open your bottle of soda, if it says, “You win!” under the cap, you get another bottle of their soda for free. The chance of winning a free soda is 1 in 12. Lucky Lucy bought five sodas and won a free one with four of the caps. What’s the probability of that happening? Theoretically, how many sodas would you have to buy before having a greater than 50% chance of winning a free soda?
Answer:
a.) Probability = 1/5
b.) 10 soda
Step-by-step explanation:
Probability is a game of chance.
The initial chance = 1/12
If Lucky Lucy bought five sodas and won a free one with four of the caps. The probability of that happening will be 1/5
Having a greater than 50% chance of winning a free soda means having probability greater than half. That is,
Probability > 1/2
You would have to buy (12 - 2) soda. Which is equal to 10.
Solve 8.2ws 29.52. Which of the following must be true abo
OWS36
The arrow points left
The arrow points right
There is an open circle at 3.6.
There is a closed circle at 3.6.
Answer:
A B E
Step-by-step explanation:
A- w less-than-or-equal-to 3.6
B- The arrow points left.
E- There is a closed circle at 3.6.
Answer:
A B E
Step-by-step explanation:
does anyone know the answer to this ?please
Answer:B
Step-by-step explanation:
A rectangular prism has the dimensions of 2in, 5in, and 7in. What is the volume of the prism?
I NEED HELP NOOOOOWWWW!!!!!!!!
Answer: [tex]1590cm^3[/tex]
Step-by-step explanation:
[tex]V=\frac{3\sqrt{3} }{2}a^2h[/tex]
a = base
h = height
[tex]V=\frac{3\sqrt{3} }{2}(6cm)^2(17cm)[/tex]
Solve the parentheses squared first.
[tex]V=\frac{3\sqrt{3} }{2}(36cm^2)(17cm)[/tex]
2 and 36 can be simplied
2/2=1
36/2=18
[tex]V=3\sqrt{3}(18cm^2)(17cm)[/tex]
[tex]V=3\sqrt{3}(306cm^3)\\ V=1590.02cm^3[/tex]
Rounded to the nearest whole number... [tex]1590cm^3[/tex]
1.-En una estación de autobuses de la Ciudad de México hay dos líneas que llevan a Cuautla, Morelos. Ambas tienen salidas desde las 6:00 am, la primera, tiene salidas cada 15 minutos y la segunda cada 20. Si los primeros camiones de ambas líneas salen a las 6:00, ¿a qué hora coincidirán nuevamente en la salida?
2.-Tita está haciendo unos recuerdos y está colocando dulces en ellos. Tiene 48 paletas de malvavisco y 32 bolsitas de lunetas. Quiere repartirlos en partes iguales y que a cada familiar le toque el número mayor de dulces y de manera exacta. Calcula el número máximo que le puede tocar a cada persona, cuánto le toca a cada uno y hasta cuántos recuerdos puede hacer.
Answer:
1) 7 : 00 am, 2) 3 paletas de malvavisco, 2 bolsitas de lunetas, 16 recuerdos.
Step-by-step explanation:
(Both exercises are written in Spanish. Hence, explanations will be held in that language)
1) Las ecuaciones que describen el tiempo transcurrido en función del número de salidas de cada línea son, respectivamente:
Primera Línea
[tex]t_{1} = 15\cdot n_{1}[/tex]
Segunda Línea
[tex]t_{2} = 20\cdot n_{2}[/tex]
Donde t se mide en minutos. La siguiente relación se obtiene a partir de de igualar y sustituir el tiempo de ambas ecuaciones.
[tex]15\cdot n_{1} = 20\cdot n_{2}[/tex]
La siguiente relación es construida:
[tex]n_{1} = \frac{20}{15}\cdot n_{2}[/tex]
[tex]n_{1} = \frac{4}{3}\cdot n_{2}[/tex]
Tanto [tex]n_{1}[/tex] como [tex]n_{2}[/tex] son números naturales, si [tex]n_{2} = 3[/tex], entonces:
[tex]n_{1} = 4[/tex]
Finalmente, el tiempo transcurrido es:
[tex]t_{1} = 15\cdot (4)[/tex]
[tex]t_{1} = 60\,min[/tex]
En consecuencia, las salidas coincidirán a las 7 : 00 am.
2) El máximo número de recuerdos es determinado por el menor número de determinados dulces. Las bolsitas de lunetas representan el limitante, la razón de paletas de malvavisco a bolsitas de lunetas es:
[tex]x = \frac{48\,m}{32\,l}[/tex]
[tex]x = \frac{3\,m}{2\,l}[/tex]
La proporción óptima es de 3 paletas de malvavisco por cada 2 bolsitas de lunetas. Entonces, el máximo número de recuerdos es:
[tex]y = \frac{32}{2}[/tex]
[tex]y = 16[/tex]
El máximo número de recuerdos es 16.
