Someone explain this to me! Help!
Answer:
D
Step-by-step explanation:
an = 3/4 × an-1
let's see for n = 2
a2 = 3/4 × a1 = 3/4 × 4
n = 3
a3 = 3/4 × a2 = 3/4 × 3/4 × a1 = 3/4 × 3/4 × 4 = 9/16 × 4
so, we see, we multiply 3/4 one time less than n by itself and then by 4.
that makes D the correct answer.
the multiplication by (n - 1) in answer C would add 3/4 n-1 times instead of multiplying it n-1 times.
to apply n-1 multiplications we need to use n-1 as exponent.
The function f(x) = 100 + 0.75(x - 50) can be used to determine the cost in dollars for printing x, t-shirts.
What is the rate of change of the cost in dollars with respect to the number of t-shirts printed?
$0.75
$50
$100
-$50
The rate of change of the cost in dollars with respect to the number of t-shirts printed is $0.75 per shirt.
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
A linear function is in the form:
y = mx + b
Where m is the rate of change and b is the initial value of y.
Given that the cost f(x) in dollars for printing x, t-shirts is given by:
f(x) = 100 + 0.75(x - 50)
f(x) = 0.75x + 62.5
Comparing with linear function, the rate of change is 0.75
The rate of change of the cost in dollars with respect to the number of t-shirts printed is $0.75 per shirt.
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A tree is 5 feet and 10 inches tall how tall is it in inches
Answer:
70 inches
Step-by-step explanation:
remembering that 1 foot is 12 inches, you would do 12 inches multiplied by 5 feet. 12x5=60. After adding 60 inches to the remaining 10 inches, you get 70 inches. The tree is 70 inches tall
7. The question is in the screenshot
The total number of vehicles is simply given as
A total number of vehicles. =[tex]\int_0^{20} f(x) d x[/tex]
This is further explained below.
What is the distance?Generally, How far away two things or points are may be measured, either quantitatively or quantitatively, using something called distance.
When discussing physics or using the term in daily conversation, "distance" may either refer to a literal measurement or an approximation based on several other factors.
In conclusion, Here, we need to include all of the cars that are available on the length of road that is 20 miles long, and we can accomplish this by integrating the density function f. (x).
Therefore a total number of vehicles. =[tex]\int_0^{20} f(x) d x[/tex]
Option C
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Please help me!!
I need to turn in this homework soon
Answer:
Step-by-step explanation:
Discussion
Let's consider an rational number for a moment. If I tell you that the fraction you used was 1/3 and gave you the first couple of numbers as in
1/3 = 0.33333.....
and asked you what the next number is, you should be able to tell me that the number to write down is 3.
Even something like 1/7 is well behaved.
1/7 = 0,142857142857142857 .... and tell you I want the next number, you should be able to see it as 1.
But an irrational number can't be handled that way. If I ask for the next digit after 5 when taking the square root of 2, you would have no idea what I was talking about without the help of a calculator.
Now if you multiply a rational by an irrational, you just get a bigger irrational, but it remains irrational.
The statement is false.
Find 2.5 percent of ten percent of 1*10^6
Answer:
2500
Step-by-step explanation:
1×10^6/10=10%
=1×10^5 then divide by 10 will give 10
=1×10^4 divide by 4 to get 2.5 of the original 10%
=2.5×10^3
=2500
which cost $20.00/hour plus a one-time service fee. he used the board for 5.5 hours and paid a total of $93.00.
The one time fee is -$17 and the one-time fee cannot not be applicable to this scenario because it is negative
How to determine the one-time service fee?The given parameters are
Hourly rate, r = 20.00
Number of hours, h = 5.5
Total amount = 93.00
The total amount is calculated as:
Total amount = One time fee + Hourly rate * Number of hours
So, we have
93.00 = One time fee + 20.00 * 5.5
Evaluate the product
So, we have
93.00 = One time fee + 110
Subtract 110 from both sides
So, we have
One time fee = 93.00 - 110
Evaluate the difference
So, we have
One time fee = -17
Hence, the one time fee is -$17
Amount cannot be negative.
This means that the one-time fee cannot not be applicable to this scenario
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) Find the sum to infinity of the sequence 1, 1/4, 1/16, 1/64.
The sum of the terms till infinity of the sequence 1, 1 / 4, 1 / 16, 1 / 64 will be 4 / 3.
We have the sequence:
1, 1 / 4, 1 / 16, 1 / 64.
Initial term = a
a = 1
Common ratio = d
d = 1 / 4
The formula for the sum of the terms to infinity is given by:
S_∞ = a / (1 – r)
S_∞ = ( 1 ) / (1 – 1 / 4)
S_∞ = 1 / ( 3 / 4 )
S_∞ = 4 / 3
Therefore, we get that, the sum of the terms till infinity of the sequence 1, 1 / 4, 1 / 16, 1 / 64 will be 4 / 3.
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Please help me I’m confused
[tex]she \: paid = 2(1.69) + 1(1.49) + 1(1.09) + 0.68=6.64 \\ change = 10 - 6.64 = 3.36[/tex]
Integrate the following function:
Answer: a
Step-by-step explanation:
First term
[tex]\int \sqrt{10x-15} \mathrm{dx}[/tex]
We can use the substitution u=10x-15, meaning dx = 1/10 du.
[tex]=\frac{1}{10} \int \sqrt{u} \mathrm{du}\\\\=\frac{1}{15}u^{3/2}+C\\\\=\frac{1}{15}(10x-15)^{3/2}+C[/tex]
Second term
[tex]\int (10x-15)^{10} \mathrm{dx}[/tex]
We can use the substitution u=10x-15, meaning dx = 1/10 du.
[tex]=\frac{1}{10} \int u^{10} \mathrm{du}\\\\=\frac{1}{110} u^{11}+C\\ \\ =\frac{1}{110}(10x-15)^{11}+C[/tex]
Third term
[tex]\int \frac{1}{10x-15} \mathrm{dx}[/tex]
We can use the substitution u=10x-15, meaning dx = 1/10 du.
[tex]=\frac{1}{10} \int \frac{1}{u} \mathrm{du}\\\\=\frac{1}{10} \ln u+C\\\\=\frac{1}{10} \ln(10x-15)+C[/tex]
Adding these results, we get the answer to be a.
Estimate the product. 1 1/6 x 2 1/4
Answer:
[tex]2 \frac{5}{8} [/tex]
Step-by-step explanation:
[tex]1. \: \frac{1 \times 6 + 1}{6} \times 2 \frac{1}{4} \\ 2. \: \frac{6 + 1}{6} \times 2 \frac{1}{4} \\ 3. \: \frac{7}{6} \times 2 \frac{1}{4} \\ 4. \: \frac{7}{6} \times \frac{2 \times 4 + 1}{4} \\ 5. \: \frac{7}{6} \times \frac{8 + 1}{4} \\ 6. \: \frac{7}{6} \times \frac{9}{4} \\ 7. \: \frac{7 \times 9}{6 \times 4} \\ 8. \: \frac{63}{6 \times 4} \\ 9. \: \frac{63}{24} \\ 10. \: \frac{21}{8} \\ 11. \: 2 \frac{5}{8} [/tex]
19.7 1. Jake found the hypotenuse of a right triangle to be an irrational number. Which of the following could be the number he found? O√16 O 12/13 O √2 k
Answer:
√2
Step-by-step explanation:
An irrational number is one that cannot be expressed as p/q where both p and q are integers
Square roots of numbers which do not result in an integer are irrational
So it is the last choice √2
my number has 2 periods. There are digits 8,7,4 in that order and 4,2,3 in that order. what is my number?
The required number is 874 and 423.
What is arithmetic?
Arithmetic is the branch of mathematics that deals with the study of numbers using various operations on them. Basic operations of math are addition, subtraction, multiplication and division. These operations are denoted by the given symbols.
Given:
My number has 2 periods, There are digits 8,7,4 in that order and 4,2,3 in that order.
According to given question we have
First period=4(Ones) , 7(Tens) , 8(Hundreds)
Number Hundred Tens Ones
874 8 7 4
Second Period =3(Ones) , 2(Tens) , 4(Hundreds)
Number Hundred Tens Ones
423 4 2 3
Therefore, the required number is 874 and 423.
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The estimated weight of a blue whale is 3.46 x 105 pounds. The estimated weight of a
sei whale is 5.6 x 104 pounds. What is the combined estimated weight of the two
whales?
The combined estimated weight of the two whales is 945.7 Pounds.
The estimated weight of a blue whale = 3.46 × 105
Total estimated weight of a blue whale = 363.3 Pounds
Now, the estimated weight of a sea whale = 5.6 × 104
Total estimated weight of a sea whale = 582.4 Pounds
For finding the combined estimated weight of the two whales,
we will add the total estimated weight of both whales.
Here is how we will do it:
Total estimated weight of a blue whale + Total estimated weight of a sea whale
= 363.3 Pounds + 582.4 Pounds
Hence, 945.7 Pounds will the combined estimated weight of the two whales.
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2x+4y=11 how do you solev thia?
Work out the equasion equasion of the line perpendicular to y= 2x + 4 with a y intercept of 3. Could u tell me how to do it aswell
Step-by-step explanation:
the slope is a line is always the factor of x.
and it is the ratio (y coordinate difference / x coordinate difference) when going from one point to another.
y = 2x + 4
has the slope 2. which is 2/1. so, for every increase of x by 1 unit, y increases by 2 units.
and this line has a y-intercept of 4 (the y-value when x = 0).
remember, the slope-intercept form of a line is
y = ax + b
a is the slope, b is the y-intercept.
a perpendicular slope (90°) turns that ratio upside down and flips the sign (because if the original line was going up, the perpendicular line is going down and vice versa).
so, the slope of the perpendicular line is -1/2.
the y-intercept was already given to us, so the desired line equation is
y = -1/2 x + 3
or
y = -x/2 + 3
A camel can drink 15 gallons of water in 10 minutes. At this rate, how much water can it drink in 8 minutes?
Answer:
12
Step-by-step explanation:
15:10
15/10=1.5g/min
1.5x8=12.
A camel can drink 12L in 8 minutes.
What is 12.75w + 25 =114.25
Answer:
w = 7
Step-by-step explanation:
12.75w + 25 = 114.25
12.75w + 25 - 25 = 114.25 - 25
12.75w = 89.25
12.75w/12.75 = 89.25/12.75
w = 7
Hope this helps! :)
Suppose the average yearly salary of an individual whose final degree is a master's is $35 thousand less than twice that of an individual whose final degree is a bachelor's. Combined, two people with each of these educational attainments earn $118 thousand. Find the average yearly salary of an individual with each of these final degrees.
The average yearly salary of the final year is 67000 in dollars.
What is average ?
An average is a single number selected to stand in for a collection of numbers; it is frequently the product of the sum of the numbers divided by the total number of the collection. For example, the average of the integers 2, 3, 4, 7, and 9 is 5.
Let x = the average salary of an individual with the bachelor's degree, in dollars.
Then the average salary of an individual with master's degree is (2x - 35000)in dollars.
According to the sum of these salaries is 118000 dollars:
x + (2x-35000) = 118000
by solving we get
x = 153000/3
x = 51000
Hence, The average salary of an individual with the bachelor's degree is 51000 in dollars.
the average salary of an individual with the master's degree (2*51000 - 35000) = 67000 in dollars.
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Evaluate squareroot of
61.73²-38.27²
Answer:
48.43552415324934
Step-by-step explanation:
61.73²-38.27² = 2346
[tex]\sqrt{2346}[/tex] = 48.43552415324934
( m n ) (x) for x = -3. m n (-3)=
Two expressions with equal sign is equation, if (m/n)(x) for x=-3 is (m/n)(-3)=m(-3)/n(-3).
What is Equation?Two expressions with equal sign is called as Equation.
Given,
(m/n)(x) for x=-3
i.e means we need to find (m/n)(-3)
So we have to calculate by putting -3 in to two functions m and n.
(m/n)(-3)=m(-3)/n(-3)
Therefore (m/n)(x) for x=-3 is (m/n)(-3)=m(-3)/n(-3).
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50 points help! Which table represents Y as a function of X
(note: there was a misclick and so one is selected )
Table number 4 is showing the value of Y as a function of X.
What are relations and functions?A binary connection in mathematics links elements of one set, referred to as the domain, with elements of another set, referred to as the codomain. A new set of ordered pairs made up of elements from sets X and Y and x in X is known as a binary relation across these sets.
The variable Y as a function of X is represented by table number 4. Because for every value of X there is a different value of Y.
X Y
26 -26
-26 24
28 -28
-28 28
Therefore, table number 4 is showing the value of Y as a function of X.
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what is 3 minus negative 7
Answer: 10
Step-by-step explanation:
Whenever you have a subtraction symbol next to a negative it automatically becomes positive.
One-fourth the sum of four consecutive even integers is 11. Find the smallest four integers.
Considering the definition of an equation and the way to solve it, the smallest four integers are 8, 10, 12, 14.
Definition of equationAn equation is the equality existing between two algebraic expressions connected through the equals sign in which one or more unknown values appear.
The members of an equation are each of the expressions that appear on both sides of the equal sign.
The solution of a equation means determining the value that satisfies it. To solve an equation, keep in mind:
When a value that is adding, when passing to the other member of the equation, it will subtract.If a value you are subtracting goes to the other side of the equation by adding.When a value you are dividing goes to another side of the equation, it will multiply whatever is on the other side.If a value is multiplying it passes to the other side of the equation, it will pass by dividing everything on the other side.Smallest four integersBeing "x" n any integer, and knowing that:
One-fourth the sum of four consecutive even integers is 11.2n is an even number.A consecutive even number is obtained by adding two units to the previous even number and can be expressed as 2n +2.A quarter is a quarter of an amount and is calculated by dividing by 4.So, the equation in this case is:
(2n + 2n +2 + 2n +4 + 2n + 6)÷ 4= 11
Solving:
(8n +12)÷ 4=11
8n +12= 11× 4
8n +12= 44
8n= 44 -12
8n= 32
n= 32 ÷ 8
n= 4
Then, the smallest four integers can be calculated as:
2n= 2×4= 82n + 2= 2×4 + 2= 102n + 4= 2×4 + 4= 122n + 6= 2×4 + 6= 14Finally, the smallest four integers are 8, 10, 12, 14.
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A set of numbers is shown. Place the numbers from least to greatest.
Answer: -6.25, -2, 3/4, 3, 5, 6, 67/10 would be the soliton
4. A parcel of land is subdivided into five building lots as
shown below. What fractional part of the total area of the
parcel of land is represented by each of the five lots?
Express answers in lowest terms.
LOT #2
AREA =
19,750 sq ft
LOT #1
AREA =
15,000 sq ft
LOT #3
AREA =
14,500
sq ft
LOT #4
AREA =
17,875
sq ft
LOT #5
AREA =
16,625
sq ft
[4 marks]
The fractional representation of each plot is given by 12/67 , 79/335 , 58/335 , 143/670 and 133/670 .
A fraction denotes a component of a whole or, more broadly, any number of equal pieces. A common or simple fraction is made up of a non-zero denominator that is displayed below (or after) the line that the numerator is displayed above (or before a slash, as in the case of 12). Compound fractions, and mixed numeral fractions are examples of uncommon fractions that use numerators and denominators.
The total area of the lot is given by (19750+15000+14500+17875+16625) =83750 square feet.
Fractional representation of Lot 1= 15000 ÷ 83750 = 12/67
Fractional representation of Lot 2= 19750 ÷ 83750 = 79/335
Fractional representation of Lot 3= 14500 ÷ 83750 = 58/335
Fractional representation of Lot 4= 17875 ÷ 83750 = 143/670
Fractional representation of Lot 5= 16625 ÷ 83750 = 133/670
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A triangle has a base of 7.2 centimeters and height of 10.24 centimeters. A large triangle has a base of question mark centimeters and a height of 25.6 centimeters.
The diagram represents the process of creating a scale drawing from an original using a scale factor of 0.4. The base of the original drawing must be:
17.6 cm
18 cm
33.5 cm
45 cm
Answer:
18 cmStep-by-step explanation:
A triangle has a base of 7.2 centimeters and height of 10.24 centimeters. A large triangle has a base of question mark centimeters and a height of 25.6 centimeters.
The diagram represents the process of creating a scale drawing from an original using a scale factor of 0.4. The base of the original drawing must be:
17.6 cm
18 cm
33.5 cm
45 cm
--------------------
1st solution (using an equation)
10.24 : 7.2 = 25.6 : x
x = 7.2 * 25.6 : 10.24
x = 18cm
------------------------------------
2nd solution (using the scale factor)
7.2 : 0.4 =
18 cm
Answer: 18cm
Step-by-step explanation:
Which expression is equivalent to √18+√72?
A. 90
B. 8√2
c. 6√2
D. 9√2
A dealer sold two oven for rupees 18000 each one one he gain 20% and on other he lost 20% find his loss or gain percent on the whole transaction
Answer:
0%
Step-by-step explanation:
The gain on the first oven = 18000 x 20% = 18000 x 20/100
= 18000 x 0.2 = 3600. Since it is a gain, we have to add this number
So selling price = 18000 + 3600 = 21600
The loss on the second oven is also the same 18000 x 0.2 = 3600. This time, it being a loss, selling price = 18000-3600 Total= 14400
The total before sales price of both ovens C = 18000 + 18000 = 36,000
Total sold price S = 14, 400 + 21,600 = 36000
So net gain/loss = S - C = 36000 - 36000 = 0
So net gain/loss as percent = 0%
Simple Math Range and domain help Part 2
[tex]{ \qquad\qquad\huge\underline{{\sf Answer}}} [/tex]
Here we go ~
Domain : All values of x, for which function is defined.
i.e [tex]\boxed{\sf 0\leqslant x\leqslant 12} [/tex]
Range : All possible values of y, that can be obtained by putting value of x in the equation of function
i.e [tex]\boxed{\sf 0\leqslant y\leqslant 900} [/tex]