Considerando la definición de potencia, en total hay 125 frascos.
Definición de potenciaLa potencia es la manera de simplificar la multiplicación de un factor por sí mismo varias veces.
Las potencias están formadas por la base y por el exponente. La base es el número que se está multiplicando varias veces y el exponente es el número de veces que se multiplica la base.
Siendo "b" la base y "n" el exponente, la potencia se representa como [tex]b^{n}[/tex].
Cantidad de frascos de mielEn una bodega hay 5 torres de cajas que contiene cada una 5 filas con 5 frascos de miel. Esto se puede representar mediante la potenciación como: 5³
Resolviendo se obtiene: 5³= 125
Finalmente, en total hay 125 frascos.
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A rental car company charges $63.41 per day to rent a car and $0.05 for every mile driven. Ella wants to rent a car, knowing that: She plans to drive 275 miles. She has at most $200 to spend. What is the maximum number of days that Ella can rent the car while staying within her budget?
Answer:
2 days
Step-by-step explanation:
275 miles times 0.05 = $13.75 for mileage
200-13.75=186.25 left
186.25/63.41(daily fee)= 2.93
She can rent it for 2 days
Factorise 2x^2 + x - 6
[tex] \rm \: {2x}^{2} + x - 6[/tex]
[tex] \rm \: {2x}^{2} + 4x - 3x - 6[/tex]
[tex] \rm \: {2x} \times (x + 2)- 3x \times (x + 2)[/tex]
[tex] \rm \: (x + 2) \times (2x - 3)[/tex]
A pennant in the shape of a right triangle has a base of 48 inches and a height of 14 inches what is the hypotenuse of the pennant?
Answer:
50 inches
Step-by-step explanation:
48^2 + 14^2 = h^2
Answer is 50 inches if you solve...
Express 34m 8cm 6mm in mm
Answer:
34086 mm
Step-by-step explanation:
34m = 34000 mm
8cm = 80 mm
6mm = 6mm
34000+80+6 = 34086 mm
Answer:
34086 mm
34m = 34000m
8cm = 80mm
if f(x)=x²+2x-4 and g(x) = -4x+1, what is (g-f)(x)?
A x²+6x-5
B. x2-2x-3
C. x²-6x+5
D.-x²-6x+5
The (g-f)(x) is option D: - x² - 6x + 5.
What are terms in polynomials?Terms are added or subtracted to make a polynomial. They're composed of variables and constants all in multiplication.
Given;
f(x) = x²+2x-4
g(x) = -4x+1,
Then the subtraction of the two function;
g(x) - f(x)
= -4x+1 - (x²+2x-4 )
= -4x+1 - x²- 2x + 4
= - x² - 6x + 5
Hence, the correct option is D: - x² - 6x + 5.
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PROVE :
sin^2(-300°).cos^2 (120)+ cos^2(-240 ).sin^2(390)=1/4
Step-by-step explanation:
[tex] \sin {}^{2} ( - 300) \cos {}^{2} (120) + \cos {}^{2} ( - 240) \sin {}^{2} (390) = \frac{1}{4} [/tex]
[tex] \sin {}^{2} (60) \cos {}^{2} ( {}^{} 120) + \cos {}^{2} (120) \sin {}^{2} (30) [/tex]
[tex] \frac{3}{4} \frac{1}{4} + \frac{1}{4} \frac{1}{4} [/tex]
[tex] \frac{3}{16} + \frac{1}{16} = \frac{4}{16} = \frac{1}{4} [/tex]
Daniel runs 40/5 miles in 124/₁ minutes. What is the unit rate in terms of miles per minute? What the answer:
Using the given information, the unit rate is 0.0645 miles/minute
Calculating rateFrom the question, we are to determine the unit rate
From the given information,
Daniel runs 40/5 miles in 124 minutes
That is,
Distance = 40/5 miles = 8 miles
Time = 124 minutes
Using the formula,
Rate = Distance / Time
Rate = 8 miles / 124 minutes
Rate = 0.0645 miles/minute
Hence, the unit rate is 0.0645 miles/minute
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The unit rate is 0.0645 miles/minute
We have calculated the rate
From the question, we are to determine the unit rate
From the given information,
Daniel runs 40/5 miles in 124 minutes
Distance = 40/5 miles
Distance = 8 miles
Time = 124 minutes
What is the formula of rate?Rate = Distance / Time
Rate = 8 miles / 124 minutes
Rate = 0.0645 miles/minute
Hence, the unit rate is 0.0645 miles/minute
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trigonometric identities Simplify cos^2 theta -1/ 4 sin^2 theta
Answer:
B
Step-by-step explanation:
using the identity
sin²x + cos²x = 1 ( subtract 1 from both sides )
sin²x + cos²x - 1 = 0 ( subtract sin²x from both sides )
cos²x - 1 = - sin²x
then
[tex]\frac{cos^20-1}{4sin^20}[/tex]
= [tex]\frac{-sin^20}{4sin^20}[/tex] ← cancel sin²Θ on numerator and denominator
= [tex]\frac{-1}{4}[/tex]
= - [tex]\frac{1}{4}[/tex]
What is 3.14 x 16
Can i have a step by step solution???
Answer:
3.14 × 16 is 18,84
Method in picture
[tex]{\color{aqua}{\boxed{\mathfrak{LordKeyarga23}}\:}}[/tex]
The value of the multiplication of the numbers 3.14 and 16 will be 50.24.
What is Algebra?Algebra is the study of algebraic expressions, while logic is the manipulation of those concepts.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to answer the problem correctly and precisely.
The numbers are given below.
3.14 and 16
Then the multiplication of the numbers 3.14 and 16 will be given by putting a cross sign between them. Then we have
⇒ 3.14 x 16
⇒ 50.24
The value of the multiplication of the numbers 3.14 and 16 will be 50.24.
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2. At the sale, Jessica bought 4 pairs
sunglasses. How much did she
of
spend?
8.78176.60
A $51.58
B $51.80
C$55.80
D$54.80
Alice weighs 20 dogs and 20 cats. The mean weight for the dogs is 32kg and the mean weight for cats is 4kg. The range in weight for dogs is 45kg and the range in weight for cats is 0.5kg. State two conclusions you can draw from this information.
With the mean and range, we can estimate the weights of the smallest and largest animals in each group.
For cats the interval is [ 3.75kg, 4.25kg] and for dogs is [9.5kg, 54.5kg]
Which conclusions can be made with the given information?
We know that the mean weight for cats is 4kg, and the range (difference between the largest value and smallest value) is 0.5kg.
From that, we can conclude with some confidence (but not exactly), that the largest cat weights 4kg + 0.5kg/2 = 4.25kgAnd the smallest cat weights 4kg - 0.5kg/2 = 3.75kg(Assuming a normal distribution).
Similar for the dogs, the mean weight is 32kg and the range is 45kg, then:
The largest dog weights 32kg + 45kg/2 = 54.5kgThe smallest dog weights 32kg - 45kg/2 = 9.5kg(again, assuming a normal distribution).
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PRECISION In November 2010 the average cost of 5 gallons of regular unleaded gasoline in the United States was $14.46. What was the average cost for 16 gallons of gasoline?
Answer:
$46.272
Step-by-step explanation:
A rectangle is divided into exactly 20 congruent squares. Then these squares are lined up in a single row extending 36 inches (3 feet). What was the area of the rectangle?
The area of the rectangle is 64.8 square .inch
What is a Rectangle ?A rectangle is a polygon with four sides , opposite sides are parallel and equal.
It is given that
A rectangle is divided into exactly 20 congruent squares
If they are lined up the Length is 36 inches
Therefore the length of each square or the side of the square = 36/20
= 1.8 inch
The area of the rectangle will be
20* Side of square * Side of square
=20*1.8*1.8
= 64.8 square inch
The area of the rectangle is 64.8 square .inch
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PLEASE HELP I’LL MAKE YOU THE BRAINIEST!! What is the value of x in simplest radical form
Find the quotient of 1 4/5 and 1 1/5
Give your answer as a fraction in its simplest form
Answer: 1 1/2
Step-by-step explanation:
1 4/5 = 9/5
1 1/5 = 6/5
[tex]\frac{9}{5} / \frac{6}{5}\\ \\\frac{9}{5} * \frac{5}{6}\\ \\\frac{45}{30} \\ \\1\frac{1}{2}[/tex]
What does the phrase "in spite of" refer to?
The phrase "in spite of" refers to a scenario where regardless of what happened, there is always a yearning desire and ability to remain positive.
What is the meaning of the phrase "in spite of"?The meaning of the phrase "in spite of" mean notwithstanding or whatever the circumstances, there is no room for complaining and thinking negatively.
This phrase is used to rejuvenate the positive and optimism of a man's thoughts and desires during dark moments. Hence, "in spite of" what happened, there is always an ability to remain positive.
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what’s the surface area Due by tomorrow!!!
Answer: The surface area = 2040.
Step-by-step explanation: Have a great day!
One week, Genesis earned $367.40 at her job when she worked for 22 hours. If she is paid the same hourly wage, how many hours would she have to work the next week to earn $584.50?
Answer:
35 hrs
Step-by-step explanation:
Hope this helps! Have a great day!!
Saif is building a rectangular pen for his dog. the dimensions are 15 units long and 7 units wide. saif is building a second pen that is 75% the length of the original and 125% the width of the original. write an equation to determine the length of the second pen. what is the length of the second pen? . .
The length of the second pen is 11.25 units.
What is a Rectangle ?A rectangle is a polygon with four sides , the opposite sides are parallel and equal .
it is given in the question that
Saif is building a rectangular pen for his dog. the dimensions are 15 units long and 7 units wide
length new = 75% length initial
Length new = (75/100) * 15
Length new = 0.75 * 15
Length new = 11.25 units
The length of the second pen is 11.25 units.
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You decide to buy a car that costs $10,000. The normal depreciation for such a car is 5% per year. How much will the car be worth in 2 years?
Answer:
11,000
Step-by-step explanation:
10% of 10,000 is 1,000 so 5% is 500 and add 2 of 5% you get 1,000 and add it to the old price thus you get 11,000.
There is 1/2 of a pizza left for 4 friends to share. What fraction of a pizza will each friend get to eat?
Answer:
12.5% is the answer.
Step-by-step explanation:
What is the difference of a surface area and a volume
Surface area is all the area of all sides while volume is the amount of space (a substance) occupies in a solid.
For example:
A cube has a length,breadth and height of 5cm,find:
a) surface area of the cube;
b) and the volume of the cube.
a) area of one side of the cube = 5 x 5
= 25cm²
Total surface area = 25cm x 6 (a cube has 6 sides)
= 150cm²
b) volume of cube = length x breadth x height
= 5 x 5 x 5
= 125cm³
Hope this helps you :]
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I kinda need help with this
Applying the leg rule, the value of x in the given right triangle is: A. 6.
What is the Leg Rule?The leg rule for solving a right triangle having an altitude is expressed as:
hypotenuse/leg = leg/part.
In the image given we have the following:
Hypotenuse = 4 + 5 = 9 units
Leg = x
Part = 4
Plug in the values into the leg rule formula:
9/x = x/4
(x)(x) = (9)(4)
x² = 36
x = √36
x = 6 units.
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Element X is a radioactive isotope such that every 26 years, its mass decreases by half. Given that the initial mass of a sample of Element X is 680 grams, how much of the element would remain after 19 years, to the nearest whole number?
Answer:
410 g
Step-by-step explanation:
Radioactive decay can be modeled by an exponential equation. The amount remaining (y) after a time period (t) can be expressed in terms of the initial amount (a) and the half-life (h).
y = a(1/2)^(t/h)
__
We can use this equation with the given values to find the amount remaining.
y = (680 g)(1/2)^((19 yrs)/(26 yrs)) ≈ (680 g)(0.602583)
y ≈ 410 g
About 410 grams of element X will remain after 19 years.
if x=0 and y<0, where is the plot (x,y) located
Mark me the Brainliest!
Answer:
The point will be plotted on Y axis
Kaminsky’s bronze sculpture is 5 feet in diameter, which is approximately 1.524 meters. If the sculpture was made of solid bronze, its weight could be approximated using the density of bronze , the volume, , in cubic meters, the mass, , in kilograms and applying the formula . Approximately, how many pounds would the sculpture weigh if it was made of solid bronze?
The weight of the spherical sculpture in pounds is approximately 251607 pounds
How to find the weight of the sculpture in pounds?
The sculpture is spherical and its made of solid bronze.
Therefore,
density = mass / volume
where
density = 7700 kg / m³
volume = 4 / 3πr³
volume = 4/ 3 × 3.14 × 1.524³
volume = 44.4574491494 / 3
volume = 14.8191497165 m³
Therefore,
mass = 7700 × 14.8191497165
mass = 114107.452817 kg
1 kg = 2.205 pounds
114107.452817 = ?
cross multiply
mass in pounds = 114107.452817 × 2.205
mass in pounds = 251606.933461
mass in pounds = 251607 pounds
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Find f(5)+j(-2) if f(x)=12-3x ind j(x)=x² + 4x − 1
The value of the expression f(5) + j(-2) is -8 where f(x)=12-3x and j(x)=x² + 4x - 1
How to solve the equation?The expression is given as:
f(5) + j(-2)
Where f(x)=12-3x and j(x)=x² + 4x - 1
Calculate f(5) and j(-2)
f(5)= 12 - 3(5) = -3
j(-2) = (-2)² + 4(-2) - 1 = -5
So, we have:
f(5) + j(-2) = -3 - 5
Evaluate
f(5) + j(-2) = -8
Hence, the value of the expression f(5) + j(-2) is -8
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27 Solve for x to the nearest tenth: x² + x - 5 = 0.
Answer:
Step-by-step explanation:
We can use the quadratic formula to get the answer to this
Quadratic Formula: -b +- √b² - 4ac/2a
Once we input A, B, and C into this, and solve any multiplication, we get
x = -1 +- √1 + 20/2
We divide by 2a, which 2a = 2.
-0.5 +- 10.5.
these are the following values of x:
x = 10
x = 11
Pretty sure this is it, hope it helps!
10
Select the correct answer.
Which equation is equivalent to the given equation?
- 4(x - 5) + 8x = 91 - 3
OA -5x = 2
OB. 5 = 17
OC. -5x = -23
OD. 5x = -12
Recet
Next
The equation that is equivalent to the given equation is 4x = 68. No answer is correct
Equations and expressionsEquations are two expressions equated to each other. Given the equation below;
- 4(x - 5) + 8x = 91 - 3
Expand
-4x + 20. + 8x = 88
Collect the like terms
4x + 20 = 88
4x = 88 - 20
4x = 68
Hence the equation that is equivalent to the given equation is 4x = 68
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A principal of $3900 is invested at 7.5% interest compounded annually how much will the investment be worth after 9 years
[tex]~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$3900\\ r=rate\to 7.5\%\to \frac{7.5}{100}\dotfill &0.075\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{annually, thus once} \end{array}\dotfill &1\\ t=years\dotfill &9 \end{cases} \\\\\\ A=3900\left(1+\frac{0.075}{1}\right)^{1\cdot 9}\implies A=3900(1.075)^9\implies A\approx 7477.23[/tex]