Answer:
84.42
Step-by-step explanation:
21 times 4.02
= 84.42
Answer: $84.42
Step-by-step explanation:21x 4.02
(5x+3)(5x-3) what is the answer if multiplied
Answer:
25x^2 -9
Step-by-step explanation:
(5x+3)(5x-3)
FOIL
first 5x*5x = 25x^2
outer 5x*-3 = -15x
inner 3*5x = 15x
last = 3*-3 = -9
Add them together 25x^2 -15x+15x -9
Combine terms 25x^2 -9
Answer:
[tex] \sf25 {x}^{2} - 9[/tex]
Step-by-step explanation:
We can use Foil method to find the answer for this expression.
(5x + 3) (5x - 3)
That is:
F --> First ---> (5x)(5x)
O --> Outside ---> (5x) (-3)
I --> Inside ---> (3)(5x)
L --> Last ---> (3) (-3)
And now we have to add those terms together while combining like terms.
[tex] \sf(5x)(5x) + (5x)( - 3) + (3)(5x) + (3)( - 3) \\ \sf25 {x}^{2} - 15x + 15x - 9 \\ \sf25 {x}^{2} - 9[/tex]
simplify this expression
12g+9g
Answer:
21 g
Step-by-step explanation:
12g
+ 9g
_____
21g
======
I think this is the answer but i can't confirm because your theory and my theory can be different
An online store sells old video games and DVDs as a bundle. A bundle of two video games and three DVDs can be purchased for $90.00. A bundle of one video game and two DVDs can be purchased for $51.50. Find the cost of one video game and the cost of one DVD in the bundle.
Using system of equations, the cost of one video game is $25.5; the cost of one DVD is $13.
How to Apply System of Equations to Solve a Problem?Given the problem above, we would do the following:
Video games = vDVDs = dUsing the information given, we would form two equations for the system as shown below:
2v + 3d = 90 ---> equation 1
v + 2d = 51.5 ---> equation 2
Multiply equation 2 by 2 to get equation 3
2v + 4d = 103 ---> equation 3
Subtract equation 1 from equation 3
d = 13
The cost of one DVD = d = $13.00
Substitute d = 13 into equation 2
v + 2d = 51.5 ---> equation 2
v + 2(13) = 51.5
v + 26 = 51.5
v = 51.5 - 26
v = 25.5
The cost of one video game = v = $25.50.
Therefore, using system of equations, the cost of one video game is $25.5; the cost of one DVD is $13.
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12. Feeling hot, hot, hot! Here is a stemplot using split stems for the daily high
temperature in Phoenix data from Exercise 8
From the given stem-and-leaf plot, we have that:
a) 80.65% of days in this month were hotter than 100 ºF.
b) The shape of the distribution is negatively skewed.
c) The value of 84, with key 8|4, appears to be an outlier in this data-set.
What is a stem-and-leaf plot?The stem-and-leaf plot lists all the measures in a data-set, with the first number as the key, for example:
4|5 = 45.
From the plot in this problem, the 31 observations are given as follows:
84, 93, 97, 99, 100, 101, 101, 102, 102, 103, 104, 104, 104, 105, 105, 106, 106, 106, 107, 107, 108, 108, 109, 109, 109, 110, 111, 111, 113, 115.
For item a, we have that of the 31 observations, 25 were hotter than 100 ºF, hence:
25/31 = 80.65%.
80.65% of days in this month were hotter than 100 ºF.
For item b, using a calculator, we have that:
The mean is of 104.6.The median is of 105.5.Since the mean is less than the median, the shape of the distribution is negatively skewed.
For item c, we have that:
The first quartile is of Q1 = 102.The third quartile is of Q3 = 109.The interquartile range is of IQR = Q3 - Q1 = 109 - 102 = 7.Outliers are values that are more than 1.5IQR from the quartiles, hence:
102 - 1.5 x 7 = 91.5.109 + 1.5 x 7 = 119.5.84 < 91.5, hence the value of 84, with key 8|4, appears to be an outlier in this data-set.
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How to solve 1000/11 via long divison… pls help with full working out
Q.2 - What is the value of y in the equation 3(4y - 12) = 0 ? Show your work.
Hey there!
3(4y - 12) = 0
3(4y) + 3(-12) = 0
12y - 36 = 0
Add 36 to both sides
12y - 36 + 36 = 0 + 36
Cancel out: -36 + 36 because it give you 0
Keep: 0 + 36 because it help solve for the equation
New equation: 12y = 0 + 36
Simplify it
12y = 36
DIVIDE 12 to both sides
12y/12 = 36/12
Cancel out: 12/12 because that give you 1
Keep: 36/12 because it give you the y-value (also known as your overall result)
New equation: y = 36/12
Simplify it
y = 3
Therefore, your answer should be:
y = 3
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
POWER TO A POWER
(ax) y =
When raising a base with an exponent to
another exponent, keep the
and
the exponents.
A number raised to a power represents a product where the same number is used as a repeated factor. The number is called the base and the power is given by the exponent. The base is the repeated factor and the exponent counts the number of factors. An exponent is that we are dealing with products and multiplication.
In the expression bn, b is the base and n is the exponent.
The Power Rule for Exponents: (am)n = am*n.
To raise a number with an exponent to a power, multiply the exponent times the power.
Negative Exponent Rule: x–n = 1/xn.
Invert the base to change a negative exponent into a positive.
Zero Exponent Rule: x0 = 1, for .
Any non-zero number raised to the zeroth power is 1.
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explain why 8 < x < 2 has no solution? need the answer quick
Answer:
8 < x < 2 has no solution because there is no number greater than 8 (8 < x), yet less than 2 (x < 2). It's impossible, so there is no solution.
If the inequality was something like 8 < x < 10, then it will work because 8 can be less than x and x can be less than 10.
Hope this helps and have a great rest of your day! :)
Franchise agreements are popular with fast-food companies such as McDonald's, Wendy's, and Burger King.
a. True
b. False
Answer:
cdf
Step-by-step explanation:
VV Goku uiiuuyujn. b. nnm, 1
Step-by-step explanation:
make a scale drawing of swimming pool where 1 centimeter represents 5 meters
If the mean of a normal distribution is 20 and its standard deviation is 3, between which values would 99.5 percent of the data observations be expected to fall?
99.5% of the data observations should fall between 11.579 and 28.421 according to expectations for the given normal distribution.
What is a normal distribution?
A continuous probability distribution for just a real-valued random variable in statistics is known as a normal distribution or Gaussian distribution.
According to the question, if the lower limit is a and the upper limit is b, then 99.5 percent of values fall between a and b.
part of values below a certain threshold, a= (1-0.995)/2 = 0.0025
Mean,m =20
Standard deviation,s = 3
Z = (X – m) / s
P(x<Z): 0.0025
P(x<Z) = 0.0025 can be determined for Z score.
according to the usual table, Z = -2.807
X = Zs+m
(-2.807 * 3) +20= 11.579
Lower limit = 11.579
Part of values that are less than b is equal to 0.995 + 0.0025 = 0.9975.
P(x<Z): 0.9975
Z score for which P(x<Z) = 0.9975 can be found
from the normal table as, Z = 2.807
X = Zs+m
(2.807 * 3) +20= 28.421
Upper limit = 28.421
99.5% of the data observations should fall between 11.579 and 28.421 according to expectations for the given normal distribution.
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which of the following conversion factors would be most useful in converting miles per gallon to kilometers per liter?
(C) 1 mile/0.62 km conversion factor would be most useful in converting miles per gallon to kilometers per liter.
What do we mean by conversion factor?A conversion factor is a ratio in dimensional analysis that converts one unit of measure into another without changing the quantity. A conversion factor is a number that is used to multiply or divide one set of units into another. When converting to an equal value, the acceptable conversion factor must be used. To convert inches to feet, for example, the suitable conversion value is 12 inches equal to 1 foot. Another example would be converting miles per gallon to kilometers per liter using a 1 mile/0.62 km conversion factor.Therefore, (C) 1 mile/0.62 km conversion factor would be most useful in converting miles per gallon to kilometers per liter.
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The complete question is given below:
Which of the following conversion factors would be most useful in converting miles per gallon to kilometers per liter?
A) 1 gallon/4 quarts
B) 1 liter/1000 ml
C) 1 mile/0.62 km
D) 1 000 m/1 km
Write an absolute value inequality for the graph below.
Use x for your variable.
Answer:
The absolute value inequality will be |x| ≥ -2.
Step-by-step explanation:
Lots took one hour to drive from his apartment to philips arena and back. the return drive took 8 minutes less than the trip to the arena. if x represents the time it took llya to drive from his apartment to the arena, which equation would you use to determine how long he drove each way
The equation would use to determine how long he drove each way is 2x - 8 = 60.
What is the equation?The equation is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are equal.
We have been given that Lots took one hour to drive from his apartment to Philips arena and back. the return drive took 8 minutes less than the trip to the arena.
Since the return trip took 8 minutes less, the complete equation must be written in minutes.
Here x - 8 represents the time it took to return to Philips Arena.
The total travel time, including both directions, was 60 minutes;
thus, add x and x - 8 and set them both equal to 60.
So 2x - 8 = 60
Therefore, the equation would use to determine how long he drove each way is 2x - 8 = 60.
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I NEEED HELPPP!!!! 17+18+19+ … +42+43
Let
S = 1 + 2 + 3 + … + (n - 2) + (n - 1) + n
Reversing the order of terms, we have
S = n + (n - 1) + (n - 2) + … + 3 + 2 + 1
and we observe that terms in the same position on the right side add up to n + 1.
2S = (1 + n) + (2 + (n - 1)) + (3 + (n - 2)) + … + (n + 1)
There are n terms in the sum, so each the right side is simply n copies of n + 1, and
2S = n (n + 1)
S = n (n + 1)/2
Now,
17 + 18 + 19 + … + 41 + 42 + 43
= (1 + 2 + 3 + … + 41 + 42 + 43) - (1 + 2 + 3 + … + 14 + 15 + 16)
= (S with 43 terms) - (S with 16 terms)
= 43 (43 + 1)/2 - 16 (16 + 1)/2
= 810
pls help with this question ASAP
What equations do u insert in between these numbers to get the answer
a.5 8 3 9 =50
b.12 6 2 10=14
c.4 5 6 10=24
d.7 4 6 9 7= 16
e.4 9 6 2 =52
f.45 5 9 3 7=102
hduodoydiyd9ydiydoyeykdoyx95eeykyei6djj
Step-by-step explanation:
a) 5
On Elvis’s map, the area of a park is of thearea of the same park on Belinda’s map. Elvis’s map uses a 1/4 scale of 1 inch to 100 feet. What scale does Belinda’s map use?
Using proportions, it is found that Belinda's map uses a scale of 0.025 inches : 100 feet = 0.00025 inches : 1 feet.
What is a proportion?A proportion is a fraction of a total amount, and the measures can be related using a rule of three, which derives from proportional relationships.
Due to this, relations between variables, either direct(when both increase or both decrease) or inverse proportional(when one increases and the other decreases, or vice versa), can be built to find the desired measures in the problem, or equations to find these measures, involving operations such as division and multiplication, as they involve unit rates.
Scale problems are solved using proportions. Elvis’s map uses a 1/4 scale of 1 inch to 100 feet, hence:
1 inch represents 100 feet in the entire scale.1/4 of that is that 1/4 = 0.25 inches represent 100 feet.Belinda's map has the same area, hence they use the same scale, hence she uses a scale of 0.025 inches : 100 feet = 0.00025 inches : 1 feet.
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Find the equation of the line that passes through points A and B.
A(1,7)
B(-3,-1)
The equation for the line that connects the locations is y = 2x + 5.
What is the Slope of a Line?The slope of a line, commonly known as the gradient, is defined as the value of the steepness or direction of a line in a coordinate plane. Slope can be determined using many ways given the equation of either a line or the coordinates of points on the straight line. . The slope is defined mathematically as "climb overrun" (change in y divided by change in x).
According to the given data:x₁ = 1
y₁ = 7
x₂ = -3
y₂ = -1
To obtain the equation of a line, we must first determine its slope. This is computed as:
m = [y₂ - y₁ ]/[x₂ - x₁]
Substituting the value we get:
m = [(-1) - 7 )/((-3) - 1)]
= -8/-4
= 2
The slope of the line = 2.
The line's intercept is:
The slope is the next step toward solving for a such equation of the line.
A typical linear equation is presented as:
y = mx + c
Let us substitute the slope and intercept values.
y = 2x + 5
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Solve for a. Express your answer in simplest radical form if necessary.
Answer: =
√
شه دار
= 144
Answer:
12
Step-by-step explanation:
√144 = 12
Please answer the question in the picture above.
Find values of m so that the function y xm is a solution of the given differential equation. x^2y''-7xy' 15y=0
If [tex]y=x^m[/tex] is a solution to the ODE
[tex]x^2 y'' - 7xy' + 15y = 0[/tex]
then substituting [tex]y[/tex] and its derivatives
[tex]y' = mx^{m-1} \text{ and } y'' = m(m-1)x^{m-2}[/tex]
gives
[tex]m(m-1)x^2x^{m-2} - 7mxx^{m-1} + 15x^m = 0[/tex]
[tex]m(m-1)x^{m} - 7mx^{m} + 15x^m = 0[/tex]
[tex](m(m-1) - 7m + 15)x^{m} = 0[/tex]
We ignore the trivial case of [tex]y=x^m=0[/tex]. Solve for [tex]m[/tex].
[tex]m(m-1) - 7m + 15 = 0[/tex]
[tex]m^2 - 8m + 15 = 0[/tex]
[tex](m - 3) (m - 5) = 0[/tex]
[tex]\implies \boxed{m=3} \text{ or } \boxed{m=5}[/tex]
Add. 5/7 + 1/2 + 3/4
please help
Answer: 1²⁷/₂₈
Step-by-step explanation:
[tex]\displaystyle\\\frac{5}{7}+\frac{1}{2}+\frac{3}{4} =\\\\\frac{5*4+1*14+3*7}{28} =\\\\\frac{20+14+21}{28} =\\\\\frac{55}{28} =\\\\1\frac{27}{28}[/tex]
What is the force, in N, when a pressure of 18 N/m2 is exerted on an area of 500 cm2?
It's not 1.6
Name the angle in as many different ways as possible.
Answer:
JGL, LGJ, 2
Step-by-step explanation:
Find the quotient.
77/−11=
64÷32=
48÷ −6=
−56÷ −8=
110/10=
Answer:
fsfdsesdfsesd 'jp
Step-by-step explanation:
efsdsfefsggsesds
Sergio and three friends went golfing two other friends rented clubs for six dollars each the total cost of the rented clubs in the green fees was $76 what was the cause of the green fees for each person
The cost of Green fees for each person is $16.
As per the question statement, Sergio went golfing with 3 other friends and two of them rented clubs for $6 each, the total cost of the rented clubs and the green fees being $76.
We are required to calculate the cost of Green fees for each person.
Let us assume that the cost of Green fees for each person is "x".
We will now form a linear equation of single variable "x" based on the conditions mentioned in the question statement, and solving for x, we will obtain our desired answer.
[tex][4x+(2*6)]=76\\or,4x+12=76\\or, 4x=76-12\\or, 4x=64\\or, x=\frac{64}{4}=16[/tex]
That is, the cost of Green fees for each person is $16.
Linear Equation: In Mathematics, a linear equation is an algebraic equation which when graphed, always results in a straight Line, as the name "Linear" itself suggests. Here, each term is of exponent 1 and is often denoted as (y = mx + c) where, 'm' is the slope and 'b' is the y-intercept.To learn more about Linear Equations, click on the link below.
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The average price for regular gasoline in Toronto is $1.35 per liter, or L (in Canadian dollars, as of
April 2014).
Part A: The exchange rate between the US and Canada varies continuously. Assume that, in April
2014, the rate was US$ 0.92 for each Canadian dollar. Determine the cost in U.S. dollars (US$) for 1 L
of gasoline in Toronto. Round to the nearest cent.
Hint
$1.35 Canadian = US$
Part B: There are 3.78541 L in 1 gallon (gal). Determine the cost in U.S. dollars (US$) for 1 gal of
gasoline in Toronto. Round to the nearest cent.
Hint
1 gal costs US$
a. $1.35 Canadian dollar will be 124 cents.
b. cost in U.S. dollars (US$) for 1 gal of gasoline in Toronto will be $5.11.
How to calculate the value?A. It should be noted that the rate was US$ 0.92 for each Canadian dollar.
Therefore, $1.35 Canadian dollar will be:
= 1.35 × 0.92
= $1.24 = 124 cents.
B. The cost in U.S. dollars (US$) for 1 gal of gasoline in Toronto will be:
= 3.78541 × 1.35
= $5.11
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!!ABSOLUTE VALUE!!
can anyone do this problem out for me and show the work and steps?
ILL GIVE BRAINLIEST!!!!!
Adam, Craig and Gary play hockey. Adam has scored twice as many goals as Craig. Gary scores 7 more goals than Craig. Altogether they score 51 goals. How many more goals did Adam score than Gary?
the formula for the circumference of a circle is c equals 2 pi r. if the circumference is31.4 centimeters, what is the diameter of the circle? (let pi equals 3.14)
Answer: Substitute this value to the formula for circumference: C = 2 * π * R = 2 * π * 14 = 87.9646 cm. You can also use it to find the area of a circle: A = π * R² = π * 14² = 615.752 cm². Finally, you can find the diameter - it is simply double the radius: D = 2 * R = 2 * 14 = 28 cm.
Step-by-step explanation:
Use the given information to find the unknown value. y varies inversely with the cube of x. when x=9, then y=1. find y when x=1. enter the exact answer.
When the value of x = 1, the value of y = 729.
What is inverse relation?An inverse relationship is one where the value of one parameter decreases as the value of the second parameter increases. It is frequently described as a bad relationship.
In other phrases, an inverse relationship, also recognized as a negative relationship, is a negative relationship between two variables that moves in the opposite direction. Like, we have two variables X and Y. As X increases, so does Y, and as Y increases, so does X.Now, as per the question.
y varies inversely with the cube of x.
y ∝ 1/x³
Removing inverse, a constant of proportionality will come (say k)
y = k/x³
k = x³y.
When x = 9 then y = 1. Substitute the values and find k.
k = 9³(1)
k = 729
Now, estimate the value of y when x = 1.
y = k/x³ ( put the value of k and x )
y = 729/1³
y = 729
Thus, the value of y when the value of x = 1 is 729.
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