2. The temperature at the North Pole is 30°F and is expected to drop 5°F per hour for the next
several hours. Write an equation that represents the relationship between temperature and
time. Explain what information your numbers and variables represent.
The answer is F(t)=30-5t
What are linear equations?Linear equations help in representing the relationship between variables such as x, y, and z, and are expressed in exponents of one degree. In these linear equations, we use algebra, starting from the basics such as the addition and subtraction of algebraic expressions.
Given here: The temperature at the North Pole is 30°F and is expected to drop 5°F per hour for the next several hours.
let the time in hours be t and F(t) be the temperature after t hours then we have the following equation:
F(t)=30-5t
Hence, The answer is F(t)=30-5t
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Help?? Thanks if you do
Answer:
l = 6[tex]a^{4}[/tex] + 2a - 1
Step-by-step explanation:
the area (A) of a rectangle is calculated as
A = lw ( l is the length and w the width )
given A = 18[tex]a^{5}[/tex] + 6a² - 3a and w = 3a , then
3aw = 18[tex]a^{5}[/tex] + 6a² - 3a ( divide each term by 3a )
w = [tex]\frac{18a^{5} }{3a}[/tex] + [tex]\frac{6a^2}{3a}[/tex] - [tex]\frac{3a}{3a}[/tex] = 6[tex]a^{4}[/tex] + 2a - 1
One of the legs of a right triangle measures 13 cm and its hypotenuse measures 17 cm. Find the measure of the other leg. If necessary, round to the nearest tenth.
To find the lengths of a right triangle, we can use what is called Pythagorean Theorem: a^2 + b^2 = c^2, where a and b are the legs of the triangle and c is the hypotenuse.
13^2 + b^2 = 17^2
169 + b^2 = 289
b^2 = 120
b = 11.0 cm
The length of the other leg of the triangle is 11.0 cm (rounded).
Hope this helps!
The length of the other leg of the triangle is 11.0 cm rounded to the nearest tenth.
What is the Pythagoras theorem?The Pythagoras theorem states that the square of the longest side must be equal to the sum of the square of the other two sides in a right-angle triangle.
[tex]a^2 + b^2 = c^2[/tex]
Given that One of the legs of a right triangle measures 13 cm and its hypotenuse measures 17 cm.
To find the lengths of a right triangle, we can use Pythagorean Theorem:
[tex]a^2 + b^2 = c^2[/tex],
where; a and b are the legs of the triangle and c is the hypotenuse.
[tex]13^2 + b^2 = 17^2\\169 + b^2 = 289\\b^2 = 120[/tex]
b = 11.0 cm
Therefore, The length of the other leg of the triangle is 11.0 cm rounded to the nearest tenth.
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Find a fraction that is bigger than ⅚, but smaller than 6/7. Show how you did it!!
1.What is the theoretical probability of popping a striped balloon?
2.What is the experimental probability of not popping a polka dot balloon?
18 solid balloons, 5 polka dot balloons and 17 striped balloons
The probability of popping a balloon is the likelihood of the balloon
The theoretical probability of popping a stripped balloon is 1/3The experimental probability of not popping a polka dot is 0.875How to determine the probability?The given parameters are:
Solid balloons = 18Polka dots = 5Stripped balloons = 17There are three balloons.
So, the theoretical probability of popping a stripped balloon is:
P = 1/3
The experimental probability of not popping a polka dot is calculated as:
P = 1 - P(Polka dot)
This gives
P = 1 - 5/40
Evaluate
P = 0.875
Hence, the experimental probability of not popping a polka dot is 0.875
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Expression Expanded Evaluated[tex]-6^{5} \\(-2)^{3} \\-3^{4}\\(-1)^{5}[/tex]
"7 * 4
the * is times
Step-by-step explanation:
that's it in expanded form"
Expanding the expressions:
1)
⇒ (-6)⁵
⇒ (-6)(-6)(-6)(-6)(-6)
⇒ -7776
2)
⇒ (-2)³
⇒ (-2)(-2)(-2)
⇒ (4)(-2)
⇒ -8
3)
⇒ (-3)⁴
⇒ (-3)(-3)(-3)(-3)
⇒ (9)(9)
⇒ 81
4)
⇒ (-1)⁵
⇒ (-1)(-1)(-1)(-1)(-1)
⇒ -1
5. A bottle contains 2 liters of juice. How many milliliters of juice is that?
Answer:
The answer would be 2000
Step-by-step explanation:
Knowing that there are 1000 milliliters in 1 liter, you can multiply that by 2 to get 2000. I hope this helps! :)
Does the graph shows a proportional relationship
Answer:
no
Step-by-step explanation:
a proportional relationship when graphed always is a straight line that goes through the origin (0,0)
The graph shown, shows a straight line but the line doesn't go through the origin therefore the graph does not show a proportional relationship.
Note that the origin is where the x and y axis cross , or the bottom right corner of the graph in this case
 Find the length of the third side. If necessary, write in simplest radical form.
IMAGE DOWN BELOW!
SOMEONE PLEASE HELP ME!! ILL GIVE YOU BRAINLIST ANSWER
Answer:
c = √5
using pythagoras theorem:
a² + b² = c²2² + 1² = c²c² = 4 + 1c = √5Answer:
2.236 or root 5
Step-by-step explanation:
The pythagorean theorem states that a^2+b^2=c^2.To use it for this question, we know the lengths of both a and b. (It doesn't matter which is which). 2^2+1^2=4+1=5. Root five is about 2.236
Help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
44 286 ft²
Step-by-step explanation:
4 686.144+3 600+36 000
=44 286.144
Dakota deposited $500 in an account earning 10% interest compounded annually.
To the nearest cent, how much interest will she earn in 3 years?
Answer:
165.50
Step-by-step explanation:
yeah
Answer: 165.50
Step-by-step explanation: i had the same one and got it right
Through a regular hexagonal prism whose base edge is 8 cm and whose height is 12 cm, a hole in the shape of a right prism, with its end being a rhombus with diagonals 6 cm and 8 cm is drilled . Find: the total surface area of the remaining solid.
The total surface area of the remaining solid is 48(4+root3) centimeters square.
We have given that,
Through a regular hexagonal prism whose base edge is 8 cm
Whose height is 12 cm, a hole in the shape of a right prism
What is the formula for the total surface area?Total surface area=2(area of the base)+parameter of base×Height
Height=8cm
Parameter of base=12(2)=24
area of the base=6×root3/4×4^2
We use the given value in the formula
=2×6×root3/4×4^2+24×8
=48root3+192
=48(4+root3)cm^2
Therefore the total surface area of the remaining solid is 48(4+root3)cm^2.
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(1/2) (10)- (-12) -25
Answer:
-8
Step-by-step explanation:
Hey there!
(1/2)(10) - (-12) - 25
= 1/2(10) - (-12) - 25
= 5 - (-12) - 25
= 5 + 12 - 25
= 17 - 25
= -8
Therefore, your answer is: -8
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
pls answer its important
Answer:
i dunno'
Step-by-step explanatio i dont know how to explain diss this
Carly has five times as many markers as camden together they have 30 markers how many markers does carly have how many markers does camden have
Answer:
carly=25 camden=5
Step-by-step explanation:
carly:camden= 5:1
5+1=6
30/6=5
carly= 5x5=25
camden=5x1=5
Solve the system of equations below. 4x+1=16 2x+30= - 2
Answer:
D. (5, 4)
Step-by-step explanation:
4x + y = 16 -----> y = 16 - 4x
2x + 3y = -2
Substitute to find x
2x + 3(16 - 4x) = -2
2x + 48 - 12x = -2
-10x = -50
x = 5
Substitute to find y
4(5) + y = 16
20 + y = 16
y = 4
Final solution: (5, 4)
Hope this helps!
Tim drew a triangle with one angle of measure 40 degrees and the other 70 degrees. Which triangle did Tim draw?
Answer:
Isocoles (I can't spell)
Step-by-step explanation:
180-70=110. 110-40=70.
Two angles are 70
Time drew the isosceles triangle because the two angles are equal.
Given that,
Tim drew a triangle with one angle of measure 40 degrees and the other 70 degrees. which triangle Tim drew is to be determined.
A triangle with two sides and two congruent angles is called an isosceles triangle.
Here,
Let one of the angles be x
Sum of angles = 180
40 + 70 + x = 180
x = 70
As two of the angle become equal the triangle becomes an isosceles triangle.
Thus, Time drew the isosceles triangle because the two angles are equal.
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3.873... express in p/q form
Which quantity is proportional to 40⁄8?
Check all that are true.
10⁄5
120⁄36
20⁄4
5⁄1
120⁄24
Answer:
Step-by-step explanation:
10/5: not part of the answer. This gives 2. The original ratio gives 5.
120 / 36 is not part of the answer. This gives 3 1/3 which is not 5
20/4 true This gives 55/1 true. This gives 5120/24 true. This gives 5The last 3 are the only ones you should choose.
PLEASE HELP 20 POINTS!
which statement is true of this graphed function?
A. this function is an even function because it is symmetric about the Y axis
B. this function is an even function because it is symmetric about the origin
C. dysfunction is an odd function because it is symmetric about the origin
D. dysfunction is an odd function because it is symmetric about the Y axis
Answer:
OPTION C
Step-by-step explanation:
This function is odd function because it is symmetric about the origin
Note:This graph also represents the graph of tanx
I hope it helped you
Answer:
Step-by-step explanation:
You have several boxes with the same dimensions. They have a combined volume of 4x4-21x²-46x + 219x + 180. Determine whether the binomial below could represent the number of boxes you have.
x+3
A) Yes; x+3 divides evenly. you get 4x^3-33x^2+53x+60
B)No; x-3 does not divide evenly. You get 4x^3-33x^2+53x+60 with a remainder of 12.
C)No; x+3 divides evenly. you get 4x^3-33x^2+53x+60
Answer:
The following are the choices for this problem:A. x+4 B. x+3 C. x-5 D. 4x+3
Factoring 4x^4-21x^3-46x^2+219x+180, this will give us then the short answer of x+4.
The factor theorem states that if x-n is a factor of function f(x) = 4x^4-21^3-46^2+219x+180 then f(x) = 0.
So let us evaluate f(-4) which gives 4(256) - 21(-64) -46(16) +219(-4) + 180 = 936
Since the function f(-4) does not equate to zero, we could say that x+ 4 is not a factor.
So using x+3: f(-3) = 4(81) - 21(-27) -46(9) +219(-3) + 180 = 0, so x+3 is a factor.
Step-by-step explanation:
hope this helps if do mark brainllest
As the number of trials increases, the __________ probability will approach the __________ probability.
Answer:
Empirical probability
And
Theoretical
hope this helps! :)
The scatter plot below shows the average points scored per game by players of different ages in an adult basketball league.
The statement that describes the association between a player's age, and the average points is: C. There is a positive linear association and one outlier.
Linear association and outlierThe scatter plot shows a positive linear relationship because the points shown on the scatter plot closely look like a straight line.
We able to identify only one outlier based on the regression line because their is a distance between the point and the regression line.
Therefore there is a positive linear association and one outlier.
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Which of the following expressions is equal to =
Answer:
4th option
Step-by-step explanation:
Remember the Quotient Rule:
[tex]\frac{x^{m} }{x^{n} } =x^{m-n}[/tex]
6-2 = 4
So it is the last option
Imma need some help here QwQ.
A farmer has a total of 7825 beet plants. He wants to plant 40 beet plants in each
row.
He does the following work in long division:
Answer:
A. The farmer plants 195 rows of beets and has 25 beet plants left over
Step-by-step explanation:
The quotient 195 is the number of full rows the farmer can make. That takes up 195*40 = 7800 plants so far. Then there's an extra 25 left over because 7825-7800 = 25 that can't make up an extra full row.
Q. what is the volume?
answer choices
A. 72
B. 27
C. 1.5
D. 272
Answer:
[tex]\boxed{\sf{B.\quad 27}}[/tex]Step-by-step explanation:
Use a volume formula.
Volume formula:
[tex]\Longrightarrow:\sf{V=L*W*H}[/tex]
Length: 3Width: 3Height: 3Multiply.
[tex]\sf{3*3*3=\boxed{\sf{27}}[/tex]
Therefore, the volume is 27, which is our answer.I hope this helps you! Let me know if my answer is wrong or not.
a motorboat travels a distance of one pier to another pier in 4 hrs and the way back in 5 hrs. What is the speed of the boat in still water if it travels 70 km with the current in 3.5 hrs?
let's recall that d = rt, namely distance = rate * time.
d = distance from one pier to another
c = speed of the current
b = speed of the boat
now, let's notice something, on the way over the boat travelled "d" kilometers in 4 hrs, and back the same "d" kilometers in 5 hours.
when going with the current, the boat is not really going at "b" km/s, is really going faster, at "b + c" km/s, because the current is adding to it.
now, when going against the current, the boat is not really going "b" fast, is really going slower, at "b - c", because the current is subtracting from it.
from the above, we can conclude that the 4hrs trip was with the current, since it took less time, and the 5hrs trip was against the current, and we also know that the boat does 70 km with the current in 3.5 hrs, ok hmmm let's put all that in a table.
[tex]\begin{array}{lcccl} &\stackrel{km}{distance}&\stackrel{km/h}{rate}&\stackrel{hours}{time}\\ \cline{2-4}&\\ \textit{on the way over}&d&b+c&4\\ \textit{on the way back}&d&b-c&5\\\cline{1-4} \textit{we also know}&70&b+c&3.5 \end{array}~\hfill \begin{cases} d=(b+c)4\\\\ d = (b-c)5 \end{cases} \\\\\\ \stackrel{\textit{substituting on the 2nd equation}}{(b+c)4~~ = ~~(b-c)5}\implies 4b+4c=5b-5c \\\\\\ 4c=b-5c\implies \boxed{9c=b} \\\\[-0.35em] ~\dotfill[/tex]
[tex]\stackrel{\textit{we know that}}{70~~ = ~~(b+c)3.5}\implies 70=(b+c)\cfrac{7}{2}\implies \stackrel{\textit{substituting "b"}}{70=(9c+c)\cfrac{7}{2}} \\\\\\ 70=10c\cdot \cfrac{7}{2}\implies 70=\cfrac{70c}{2}\implies 140=70c\implies \cfrac{140}{70}=c\implies \blacktriangleright 2=c \blacktriangleleft \\\\\\ \stackrel{\textit{the speed of the boat in still water is then}}{9c=b\implies 9(2)=b}\implies \blacktriangleright 18=b\blacktriangleleft[/tex]
The function P(x)=x^3−2x^2 is dilated by the function I(x)=P(4x).
Which function rule represents I(x)?
A.) I(x)=4x^3−8x^2
B.) I(x)=64x^3−32x^2
C.) I(x)=4x^3−2x^2
D.) I(x)=64x^3−2x^2
Answer:
Its C
Step-by-step explanation:
Why? because its C
Can someone please help me. ILL GIVE BRAINLIEST TO THE RIGHT ANSWER!!
Fernando compró un videojuego y sabe que el valor depreciado de este es de $600 luego de 12
meses de su compra y de $480 al término de 18 meses. Si el valor del sistema varía linealmente
con el tiempo, determina:
a) La ecuación que expresa la relación del valor del videojuego con su tiempo de uso.
b) El valor del videojuego cuando era nuevo.
ayudenme profavor
Usando una ecuación lineal, se encuentra que:
a) La ecuación es y = -20x + 840.
b) El valor del videojuego cuando era nuevo era de $840.
¿Qué es una función lineal?Una función lineal es modelada por:
y = mx + b
En el cual:
m es la pendiente, que es la tasa de cambio, es decir, cuánto cambia y cuando x cambia en 1.b es la intersección con y, que es el valor de y cuando x = 0, y también se puede interpretar como el valor inicial de la función.En este problema, el valor depreció $120 en 6 meses, por lo tanto la pendiente es dada por:
m = -120/6 = -20.
O sea:
y = -20x + b
Al longo de 12 meses, el valor deprecio 12 x 20 = $240. Por lo tanto, el valor inicial es dado por:
b = 600 + 240 = $840.
Y la ecuación es dada por:
y = -20x + 840.
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