The metabolism rate of a 60 kg cheetah is 1580.2 calorie per day.
What is an equation?An equation shows the relationship between numbers and variables.
Given that:
[tex]P=73.3\sqrt[4]{m^3} \\[/tex]
Where P is the metabolism rate in calorie per day for m mass.
a) For m = 60:
[tex]P=73.3\sqrt[4]{60^3} \\\\P=1580.2[/tex]
The metabolism rate of a 60 kg cheetah is 1580.2 calorie per day.
b)
[tex]P=73.3\sqrt[4]{m^3} \\\\\frac{P}{73.3} = \sqrt[4]{m^3} \\\\m = \sqrt[3]{(\frac{P}{73.3} )^4}[/tex]
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Which represents the distance between A(2, 3) and B(-1,-1)?
Answer:
5 units
Step-by-step explanation:
(x1, y1) =A(2,3)
(x2,y2) =B(-1,-1)
Using distance formula,
AB^2 = (x2-x1) ^2 +(y2-y1) ^2
=(-1-2)^2 +(-1-3)^2
=9+16
=25
Therefore, AB=5 units
What is the distance between the points ‒3 and 19 on a number line?
Answer:
22
Step-by-step explanation:
19-(-3)
19+3
22
What are the values of w and x?
Step-by-step explanation:
Since angles opposite congruent sides in a triangle are congruent, w=67.
Now, since the sum of the measures of the interior angles of a triangle is 180 degrees, x=180-67-67=46
Jen is 52 inches tall. Sam, her younger brother, is 7 inches shorter than Jen. How tall is Sam?
Answer:
45
Step-by-step explanation:
52-7
=45
PLEASE GIVE BRAINLIEST
A model of a house was drawn using a scale 2in= 12ft. If the model measures 10 inches in length then find the actual length of the house.
Answer:
60
Step-by-step explanation:
Because 2x5=10 and 12x5=60
The point (4,200) means 4 bags contain 200 pounds of dog food.
True or false
Determine the equation of the Logarithmic Regression that models the data. Then use your equation to determine the amount of sunlight (%) that penetrates to a depth of
150m. Express you answer to the nearest hundredth of a percent
Answer:
Percentage of light that penetrates at 150 m will be 0.94%.
Step-by-step explanation:
By using logarithmic regression calculator,
Equation of the regression line will be,
y = 104.5173 - 20.6711(lnx)
Where x represents the depth of the ocean
And y will represent the penetration of light
Therefore, at the depth of 150 m, penetration of the light will be,
y = 104.5173 - 20.6711[ln(150)]
= 104.5173 - 103.5753
= 0.9420
≈ 0.94 %
Therefore, percentage of light that penetrates at 150 m will be 0.94%.
Points X and Z are on a number line, and point Y partitions line XZ into two parts so that the ratio of the length of line segment XY to the length of line segment YZ is 1:4. The coordinate of X is 1.3, and the coordinate of Y is 3.8. What is the coordinate of Z?
Answer:
13.8Step-by-step explanation:
if Points X and Z are on a number line and point Y partition line XZ into two parts where XY: YZ = 1:4, this can be expressed as;
XY/YZ = 1/4
cross multiply;
YZ = 4XY
Also, if The coordinate of X is 1.3, and the coordinate of Y is 3.8, then the distance XY will be expressed as XY = 3.8 - 1.3
XY = 2.5
YZ = 4(2.5)
YZ = 10
Since Y is at 3.8 and YZ is 10, then coordinate Z will be YZ + Y
coordinate of Z = 10+3.8
coordinate of Z = 13.8
please EXPLAIN the center of this data set below
Answer:
well i don't exactly know but its best to ask your teacher for help <3
Step-by-step explanation:
A warehouse contains 55 boxes. Then a truck delivers a number of boxes at 12:00 p.m. and the team begins to unload them immediately . by 3:30 pm, the warehouse contains 90 boxes. supposes the boxes are unloaded at a constant rate. write a formula that shows that total number of boxes in the warehouse as a function of time where Q(t) is the total number of boxes, and t is the time since noon.
I WILL GIVE BRAINLIEST!!!!!!!!!!!!!
The function that shows this situation is given by Q(t) = 3.5t + 55
What is a linear equation?A linear equation is in the form:
y = mx + b
Where y, x are variables, m is the rate of change and b is the y intercept.
Let Q(t) represent the total number of boxes, and t is the time since noon in hours.
A warehouse contains 55 boxes, hence b = 55. At 3:30 pm (3.5 hours), the warehouse contains 90 boxes.
90 = 3.5m + 55
m = 10
The function that shows this situation is given by Q(t) = 3.5t + 55
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Number 6 and 7 please hurryyyyyyyy
ratios and proportions help
Answer:
[tex]\frac{AD}{AB}[/tex] = 3
Step-by-step explanation:
from the diagram
the horizontal distance AD = 9
the horizontal distance AB = 3
[tex]\frac{AD}{AB }[/tex] = [tex]\frac{9}{3}[/tex] = 3
The shapes nelow are shaded to show two different fraftions, Are the fractions equivalent? Use the drop down menus to best explain your answerr
Answer:
Yes they are equivalent.
Step-by-step explanation:
They each represent one half.
A bridge is built in the shape of a parabolic arch. The bridge has a span of s= 140 feet and a maximum height of s= 30 feet. Choose a suitable rectangular coordinate system and find the height of the arch at distances of 10, 30, and 50 feet from the center
Answer:
_Given data: _
The bridge has a span, s = 140 feet
Maximum height of the bridge, h = 25 feet
Let the vertex is,
V
=
(
0
,
25
)
Step-by-step explanation:
I need help with this question
Answer: (3)
Step-by-step explanation:
Need help ASAP!!!! Been thinking for a long time.
Answer:
81%
Step-by-step explanation:
First, let's set up 3 equations:
w*0.6 = x
x*1.5=y
y*0.9=z
Now, we can substitute x in the second equation for w*0.6:
w*0.6*1.5 = y
Lastly, we can substitute y in the last equation for w*0.6*1.5:
w*0.6*1.5*0.9=z
w*0.81=z
Therefore, z is 81 percent of w.
A baseball team won 20 games and lost 10 games. What percent of the games did the team win?
Answer:66.67%
Step-by-step explanation:What percent of the games did the team win? Question 1114417: A baseball team has won 20 games and lost 10 games. What percent of the games did the team win? = 66.67%.
A man is paid $9.60 per hour for a 40 hour week and he is paid at a time and a half for overtime. Find how many hours of overtime he worked when his wage for a certain week was $528.00
What is the equation of the translated function? f(x) = (x – 1)2 – 5 f(x) = (x 1)2 5 f(x) = (x – 5)2 – 1 f(x) = (x 5)2 1
The equation of the translated function will be given by f(x) = ( x + 1 ) 2 + 5
What will be the equation?The vertex of the original function is (0, 0 )
The vertex of the translated function is (- 1, 5 )
Given f(x) then f(x + a) represents a horizontal translation of f(x)
• If a > 0 then a shift to the left of a units
• If a < 0 then a shift to the right of a units
The translated graph has been shifted 1 unit left, thus
f(x) = (x + 1)²
Given f(x) then f(x) + c represents a vertical translation of f(x)
• If c > 0 then a shift up of c units
• If c < 0 then a shift down of c units
The translated graph has been shifted 5 units up,
Thus the equation of the translated function will be given by f(x) = ( x + 1 ) 2 + 5
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Answer:
f(x) = ( x + 1 )^2 + 5
Step-by-step explanation:
If you add 10 grams of sugar into 30 grams of 20 % sugar syrup, you will make ____ grams of ____% sugar syrup.
Answer:
40 grams of 40% sugar syrup
Step-by-step explanation:
20% of 30 grams = 6grams of sugar
6 grams + 10 grams = 16 grams of 40% instead of 30 now
Therefore, 40g----------100%
16g-----------40%
Answer:
40 grams of 40% sugar syrup
Step-by-step explanation:
40 grams of 40% sugar syrup
30+10== 40 g
20% sugar in 30 = 1/5 of the syrup is sugar. = 6 g of sugar
6+10 = 16g of sugar in 40 grams of syrup.
16/40=x/100
Cross multiplication
x=40
Which expression can be
used to find the value of
8 x (16 4 2)
Answer:
[tex]8*16 = 128\\ or\\ 8*4 = 32\\ lastly,\\ 8 x 2 = 16[/tex]
these are the 3 ways to find the value of a multi-number parenthesis expression. Remember your PEMDAS.
PEMDAS Meaning
Parentheses
Exponents
Multiplication
Division
Addition
Subtraction
Order the numbers from least to greatest [ -8, -6, -5, -7]
a. -5, -6, -7, -8 b. -6, -5, -8, -7 c. -7, -6, -8, -5 d. -8, -7, -6, -5
R= d) -8, -7, -6, -5.
help me at this thanks...please this is an urgency
Answer:
if simplified is 30
Step-by-step explanation:
600 x 360/7,200
Solve for x.
x^2−3x=10
Answer:
Move all terms to the left side and set equal to zero. Then set each factor equal to zero.
x=5,−2
Step-by-step explanation:
I can do math
Please help with my geometry
Answer:
this is so hard what grade are you in
state the set of multiples of 14
between 7 and 84 inclusive
Porfavor para hoy dice el papa de Rafael va a construir una picina afuera de su casa en forma de cuadrado en el area de 121 pies cuadradas. Alrededor de la picina quiere construir una plataforma de cuatro pies de ancho, Explicale a Rafael paso apaso como calcular el perimetro de la plataforma, Despues me dice que explique paso a paso en mis propias palabras como calcular el perimetro de la plataforma
Answer:
Deducir ecuación de área del cuadrado/Despejar y calcular longitud de lado/Deducir ecuación de perímetro/Calcular perímetro del cuadrado.
Perímetro: 44 pies cuadrados.
Step-by-step explanation:
Podemos explicarle al papa de Rafael lo siguiente:
Estimado señor.
Una piscina de forma cuadrada tiene la forma de un cuadrilátero con cuatro lados iguales y cuatro ángulos rectos en sus vértices. El área del cuadrado es igual a la longitud de cualquiera de sus lados multiplicada por si misma. Es decir:
[tex]A = l\cdot l = l^{2}[/tex] (Eq. 1)
Entonces, la longitud de cualquiera de sus lados es la raíz cuadrada del área de su piscina. Es decir:
[tex]l =\sqrt{A}[/tex] (Eq. 1b)
Donde [tex]l[/tex] y [tex]A[/tex] son la longitud de lado y el área de la piscina, medidos en pies y pies cuadrados, respectivamente.
Si sabemos que su piscina tiene un área de 121 pies cuadrados ([tex]A = 121\,ft^{2}[/tex]), entonces la longitud del lado de piscina es:
[tex]l = \sqrt{121\,ft^{2}}[/tex]
[tex]l = 11\,ft[/tex]
Tenemos que la longitud del lado es 11 pies.
Ahora, el perímetro es la suma de las longitudes de los lados del cuadrado. Si el cuadrado tiene 4 lados de igual medida, entonces el perímetro del cuadrado es igual a cuatro veces esa longitud. Esto es:
[tex]p = 4\cdot l[/tex] (Eq. 2)
Donde [tex]p[/tex] es el perímetro, medido en pies.
Si conocemos que la longitud del lado es 11 pies ([tex]l = 11\,ft[/tex]). En consecuencia, encontramos que el perímetro de su piscina es:
[tex]p = 4\cdot (11\,ft)[/tex]
[tex]p = 44\,ft[/tex]
El perímetro de su piscina es de 44 pies.
If I ran 10x-2 now and then ran 2x+18 tommarow how much have I ran in total
Answer:
10x-2+2x+18
=10x+2x+18-2
=12x+16
Answer:8x-16
Step-by-step explanation:
what number does w^2 - w^3 represent when w=-5
Answer:
-100
Step-by-step explanation:
(-5)^2- (-5)^3=
25-125= -100
Hey there!
plug in the value of w and solve:
(-5)²-(-5)³
25-(-125)
25-125
-100
Hence, -100 is the answer.
Let me know if you have any questions!
#LearningDoesn'tEnd
:-)
Two linear equations
Answer:
x=3y-2
x+3y=6
if x value is above
place the value of x
3y-2+3y=6
3y+3y_=6+2=8
6y=8
y=8/6=4/3
y=4/3.
I don't know it's correct .which I think I did.
x=3,4/3-2
x=12/3-2/1
to make alceeam same 2/1we multiply by 3
x=12/3 -6/3
x=12-6/3
x=6/3
x=2
the answer is
2,4/3