988
A year later will depreciate $294
The following year $253
On the third year $217
The fourth year. $187
And the 5th year. $161
Answer:
$988Step-by-step explanation:
[tex]100\%-14\%=86\%=0.86\\\\0.86\cdot\$2,100-\text{after the first year}\\0.86\cdot(0.86\cdot\$2,100)=0.86^2\cdot\$2,100-\text{after the second year}\\0.86\cdot(0.86^2\cdot\$2,100)=0.86^3\cdot\$2,100-\text{after the third year}\\\vdots\\0.86^5\cdot\$2,100\approx\$988-\text{after the fifth year}[/tex]
What is the domain of the function graphed below?
Answer:
Domain is (0,∞)
Step-by-step explanation:
We need to find the domain of the function graphed
Domain are the values of x for which the function is defined.
For domain, we look at the x values of the graph.
We have graph for x values greater than 0. the graph goes close to y axis but does not cross y axis.
For x values greater than 0 there is a value for y.
There is no graph for negative value of x
So , domain is set of all x values greater than 0
Domain is (0,∞)
Help please this is due I will give brainliest
Hope this helps :)
Answer:
A = 340,000 square feet
B = 467,500 square feet
C = 361,250 square feet
D = 180,625 square feet
Geometry Question, will give Brainliest, Image attached
Answer:
5 sin 38 should be the length.
I’m pretty sure it’s the last answer. 5 sin 38
find the greatest common factor of the following monomials: u3v6 u6v2
Answer:
1 2 3 1
Step-by-step explanation:
To find the greatest common factor (GCF) between monomials, take each monomial and write it's prime factorization. Then, identify the factors common to each monomial and multiply those common factors together. Bam!
Answer:
The GCF is [tex]u^3v^2[/tex]
Step-by-step explanation:
The given monomials are:
[tex]u^3v^6[/tex]
and
[tex]u^6v^2[/tex]
The greatest common factor is the product of the least powers of the common factors.
The least of the powers of the common factors are:
[tex]u^3[/tex] and [tex]v^2[/tex].
Their product is [tex]u^3v^2[/tex]
Therefore the Greatest Common Factors is [tex]u^3v^2[/tex]
Rewrite 4n^2+2n as a factorial.
Answer:
4n²+2n as a factorial is given as:
[tex]= (2n+1)!/(2n-1)![/tex]
Step-by-step explanation:
We are given an expression which has to be converted into factorial form.
The expression is as follows:
[tex]4n^{2} + 2n\\ = 2n(2n+1)\\ = (2n+1)2n\\[/tex]
Now we know that 2n+1 and 2n differs by '1' and the next smaller term is '2n-1'.
Hence, multiplying and dividing by '(2n-1)!'; we get:
[tex]= ((2n+1)(2n)(2n-1)!)/(2n-1)![/tex]
we know that x(x-1)(x-2)! = x!, so:
[tex]= (2n+1)!/(2n-1)![/tex]
P(x|y)
What is this formula?
Answer:
If x and y are independent events;
[tex]P(x/y)=\frac{P(xny)}{P(y)}=\frac{P(x)*P(y)}{P(y)}=P(x)[/tex]
If x and y are dependent events then;
[tex]P(x/y)=\frac{P(xny)}{P(y)}[/tex]
Step-by-step explanation:
The expression;
P(x|y) in probability represents the conditional probability of an event x occurring given that an event y has already occurred. An example of such would be; the probability that a student passes the examination given that he attempted all the assignments.
If x and y are independent events, that is the occurrence of y does not in any way influence the occurrence of x, then;
[tex]P(x/y)=\frac{P(xny)}{P(y)}=\frac{P(x)*P(y)}{P(y)}=P(x)[/tex]
If x and y are dependent events then;
[tex]P(x/y)=\frac{P(xny)}{P(y)}[/tex]
[tex]P(xny)[/tex] represents the probability of both x and y occurring together;
n denotes intersection
Sam and Bethan share £54 in the ratio 5:4
Work out how much each person gets.
Add the ratios together:
5 +4 = 9
Divide the total amount by t his number:
54 / 9 = 6
Now multiply each side of the ratio by 6:
Sam = 5 x 6 = £30
Bethan = 4 x 6 = £24
Find the endpoint given a midpoint of (3,2) and an endpoint of (4,-3)
[tex]\bf ~~~~~~~~~~~~\textit{middle point of 2 points } \\\\ (\stackrel{x_1}{4}~,~\stackrel{y_1}{-3})\qquad (\stackrel{x_2}{x}~,~\stackrel{y_2}{y}) \qquad \left(\cfrac{ x_2 + x_1}{2}~~~ ,~~~ \cfrac{ y_2 + y_1}{2} \right) \\\\\\ \left( \cfrac{x+4}{2}~~,~~\cfrac{y-3}{2} \right)=\stackrel{\textit{midpoint}}{(3,2)}\implies \begin{cases} \cfrac{x+4}{2}=3\\[1em] x+4=6\\ \boxed{x=2}\\ \cline{1-1} \cfrac{y-3}{2}=2\\[1em] y-3=4\\ \boxed{y=7} \end{cases}[/tex]
Need Help Please!!!!!!!!!!
You add each number by 6n - fourth choice. I am not sure if this is the right answer.
ANSWER
6n
EXPLANATION
The given sequence is
6,12,18,24,...
We can rewrite the terms of the sequence to observe some pattern.
The first term is 6(1)=6
The second term is 6(2)=12
The third term is 6(3)=18
The fourth term is 6(4)=24
Based on this pattern we can generalize that, the nth term of the sequence is 6(n).
Therefore the rule of the sequence is 6n
What is the median ??
Answer:
9
Step-by-step explanation:
The median is the middle entry of the data set in ascending order. If there is no exact middle then it is the average of the values either side of the middle.
Arrange the data in ascending order
4, 8, 8, 9, 11, 13, 17
↑
The median = 9
Answer:
9
Step-by-step explanation:
Order the numbers from least to greatest, then find the number that is in the middle. If there are two numbers that are in the middle then add the two numbers together and then divide by 2.
There are 399 items advertised in a catalog. If the catalog is 75 pages long, what is the average number of items per page?
Answer:
Step-by-step explanation:
Well, we can divide 399 and 75 so it would be 5.32. Round that and it would be about 5 items per page
The required average number of items per page is 5.32.
What is the unit rate?A rate with a second term of one is referred to as a unit rate. To put it another way, a unit rate compares two quantities, with the second number being expressed as 1. Unit rates, such as price per item, speed per hour, or cost per pound, are frequently used to describe a rate per unit of measurement.
Here,
To find the average number of items per page, we need to divide the total number of items by the number of pages:
The average number of items per page = Total number of items / Number of pages
Substitute the given values, and we get:
The average number of items per page = 399 / 75
Simplifying the expression, we get:
The average number of items per page = 5.32 (rounded to two decimal places)
Therefore, the average number of items per page is 5.32.
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Find the percent increase from $3.50 to $12.00. Round to the nearest percent.
Answer:
15.00 once you add percent
Answer:
The increase from $3.50 to $8.50 was 243%.
Step-by-step explanation:
The increase from $3.50 to $12.00 was $8.50.
We need to compare this to the original $3.50 by writing the following ratio, evaluating it and converting the result to a percentage:
$8.50
--------- = 2.43
$3.50
Multiply this result by 100%: (100%)(2.43) = 243%
The increase from $3.50 to $8.50 was 243%.
I don’t understand how to do this can anyone help
Answer:
I want to say the answer is D
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
A filled in circle located on the number line indicates x can equal that value
If the circle is open then x cannot equal that value
An arrow pointing right from the circle indicates that x is greater
An arrow pointing left from the circle indicates that x is less
Since the number line has a filled in circle at x = 3 and the arrow is pointing to the right , thus
x ≥ 3 → D
A coordinate plane graph is shown. A line passes through the y-axis at 3 and through the point 2 comma 4. Which equation best represents the line?
Answer:
A coordinate plane graph is shown. A line passes through the y-axis at 3 and through the point 2 comma 4. Which equation best represents the line?
y=6x+3
Step-by-step explanation:
Gabby received change worth $2.10. She received 3 more dimes than nickels and 4 less quarters than nickels. How many of each kind of coins did she receive?
Answer:
Gabby received
7 nickels
10 dimes
3 quarters
Step-by-step explanation:
Let
x----> the number of dimes
y----> the number of nickels
z---> the number of quarters
Remember that
1 dime=$0.10
1 nickel=$0.05
1 quarter=$0.25
we know that
0.10x+0.05y+0.25z=2.10 ------> equation A
x=y+3-----> equation B
z=y-4 -----> equation C
substitute equation B and equation C in equation A and solve for y
0.10(y+3)+0.05y+0.25(y-4)=2.10
0.10y+0.30+0.05y+0.25y-1=2.10
0.40y=2.10-0.30+1
0.40y=2.80
y=7 nickels
Find the value of x
x=y+3 -----> x=7+3=10 dimes
Find the value of z
z=y-4 -----> z=7-4=3 quarters
therefore
Gabby received
7 nickels
10 dimes
3 quarters
What is the value of a?
A)25
B)20
C)10
D)15
Answer:
B) 20
Step-by-step explanation:
Subtract 10 from both sides of the equation.
6 a = 130 - 10
Subtract 10 from 130 .
6a=120
Divide each term by 6 and simplify.
6 a/ 6 = 120 /6
Reduce the expression by cancelling the common factors.
a=120/6
Divide 120 by 6 .
a = 20
Hope this helps.
The value of a is 20.
What are the properties of a parallelogram?Parallelogram's characteristics
The opposing sides are congruent and parallel.The opposing angles are congruent.The following angles complement one another.All of the angles will be at right angles if any one of them is a right angle.The two diagonals cut across one another.Given
6a + 10 = 130 [The opposing angles congruent.]
6a = 120
a = 20
Therefore, The value of a is 20.
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The automatic car wash at a service station can wash 96 cars over a 4-hour period. What is the average number of cars that can be washed in 30 minutes?
A. 4
B. 12
C. 25
D.48
Answer:
Divide 96/4 to get how many cars can be washed within a single hour. Cut that in half to get 12.
Step-by-step explanation:
96÷4=24 cars/hr
24÷2=12 Cars for every 30 minutes.
Write the equation of G(x)
Answer:
[tex]G(x)=\frac{1}{2}(x-3)^3+2[/tex]
Step-by-step explanation:
The given function is
[tex]F(x)=x^{3}[/tex]
The transformations to this graph are in the form;
[tex]G(x)=a(x-b)^3+c[/tex]
where [tex]a=\frac{1}{2}[/tex] is the vertical compression by a factor of [tex]\frac{1}{2}[/tex]
b=3 is a shift to the right by 3 units.
c=2 is an upward shift by 2 units.
Therefore [tex]G(x)=\frac{1}{2}(x-3)^3+2[/tex]
Answer:
The equation is
[tex]G(x)=-\frac{1}{2}(x-3)^3 +2[/tex]
Step-by-step explanation:
If the graph of the function [tex]G(x)=cf(x+h) +b[/tex] represents the transformations made to the graph of [tex]y= f(x)[/tex] then, by definition:
If [tex]0 <|c| <1[/tex] then the graph is compressed vertically by a factor c.
If [tex]|c| > 1[/tex] then the graph is stretched vertically by a factor c
If [tex]c <0[/tex] then the graph is reflected on the x axis.
If [tex]b> 0[/tex] the graph moves vertically upwards.
If [tex]b <0[/tex] the graph moves vertically down
If [tex]h <0[/tex] the graph moves horizontally h units to the right
If [tex]h >0[/tex] the graph moves horizontally h units to the left
In this problem we have the function [tex]G(x)[/tex] and our parent function is [tex]f(x) = x^3[/tex]
We know that G(x) is equal to f(x) but reflected on the x-axis ([tex]c <0[/tex]), compressed vertically by a multiple of 1/2 ([tex]0 <|c| <1[/tex] and [tex]c = -\frac{1}{2}[/tex]), displaced 2 units upwards ([tex]b = 2>0[/tex]) and moved to the right 3 units ([tex]h = -3<0[/tex])
Then:
[tex]G(x)=-\frac{1}{2}f(x-3) +2[/tex]
[tex]G(x)=-\frac{1}{2}(x-3)^3 +2[/tex]
965406000351682.62 in words also 8591000806.36 in words
Two large numbers are converted to words. The first is 'nine hundred sixty-five trillion, four hundred six billion, three hundred fifty-one thousand, six hundred eighty-two and sixty-two hundredths' and the second is 'eight billion, five hundred ninety-one million, eight hundred six and thirty-six hundredths'.
The number 965406000351682.62 in words is nine hundred sixty-five trillion, four hundred six billion, three hundred fifty-one thousand, six hundred eighty-two and sixty-two hundredths.
The number 8591000806.36 in words is eight billion, five hundred ninety-one million, eight hundred six and thirty-six hundredths.
I really need help with this
Answer:
Josh won the race 5 seconds ahead of Rafael
Step-by-step explanation:
The winner of the race is the individual who completes the race in the shortest time. From the graph, Josh reaches the finish line at the 15 seconds mark while Rafael finishes at the 20 seconds mark.
The difference in the time is thus;
20 - 15 = 5 seconds.
Therefore, Josh won the race 5 seconds ahead of Rafael
Can somebody help me pls
Which outcomes are in a or b is answer B
What is the scale factor ? And given that QY’ = 4.125 what is QY?
Answer:
Step-by-step explanation:
1.5
PLEASE HELP!!!!!
The scale of a map is 1 inch : 9.5 miles.
a) The actual distance between Joseph's house and the airport is 24 miles. How far apart are Joseph's house and the airport on the map?
b) Joseph traveled from his house to the airport. He then traveled another 16 miles past the airport to a restaurant. How many inches on the map represent this distance?
Answer:
Part a) The distance on a map between Joseph's house and the airport is 2.53 inches
Part b) The distance on a map between the airport and the restaurant is 1.68 inches and the total distance on a map between Joseph's house and the restaurant is 4.21 inches
Step-by-step explanation:
Part a) The actual distance between Joseph's house and the airport is 24 miles. How far apart are Joseph's house and the airport on the map?
we know that
The scale of a map is 1 inch : 9.5 miles
so
using proportion
Find the distance on a map if the actual distance between Joseph's house and the airport is 24 miles
Let
x-----> the distance on a map
1/9.5=x/24
x=24/9.5=2.53 inches
Part b) Joseph traveled from his house to the airport. He then traveled another 16 miles past the airport to a restaurant. How many inches on the map represent this distance?
we know that
The scale of a map is 1 inch : 9.5 miles
so
using proportion
Find the distance on a map if the actual distance between airport to the restaurant is 16 miles
Let
x-----> the distance on a map
1/9.5=x/16
x=16/9.5=1.68 inches
The total distance on a map between Joseph's house and the restaurant is equal to
2.53 inches+1.68 inches=4.21 inches
A shoe box measures 15 in. by 7 in. by 4 in.What is the surface area of the box?
Answer:
A=2(wl+hl+hw)
2·(4·7+15·7+15·4)
386
Step-by-step explanation:
What is the rate of change in y per unit change in x for the function 30x+5y=15
Step-by-step explanation:
To find the answer you have to put it into y=mx+b format.
This means that it will be 5y=-30x+15
So it will simplify to y=-6x+3
This means that:
If y=2
You substitute then…
2=-6x+3
So x would equal 1/6.
The rate of change in y per unit change in x for the function 30x+5y=15 is 1/6.
What is the rate of change of a linear equation?Suppose that the considered linear equation is of the form y=mx+c
Then, when we change x by 1 unit, then:
[tex]y + \delta y = m(x + 1) + c\\mx + c + \delta y = mx + c + m\\\delta y = m[/tex]
where[tex]\delta[/tex] y shows the change in y as x changes by 1 unit. We found that this change is the value of 'm'. It is called slope of the line this equation represents (each linear equation represents a line).
To find the answer we have to put it into y=mx+b format.
Given the function 30x+5y=15
This means that it will be;
5y = -30x+15
So it will simplify and gives;
y=-6x+3
If y=2
substitute then;
2=-6x+3
x =1/6
Thus x would equal 1/6.
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3√16-5=
please help asap
Answer:
[tex]\large\boxed{3\sqrt{16}-5=7}[/tex]
Step-by-step explanation:
[tex]3\sqrt{16}-5=3(4)-5=12-5=7\\\\\sqrt{16}=4\ \text{because}\ 4^2=16[/tex]
Which is the standard form of the equation of a parabola with a focus of (8, 0) and directrix x = –8?
ANSWER
C. is the correct answer
[tex] {y}^{2} = 32x[/tex]
EXPLANATION
The given parabola has a focus at (8,0) and directrix at x=-8.
The equation of this parabola is of the form:
[tex] {y}^{2}=4px[/tex]
Where p is the the distance from the vertex to the focus.
Since the vertex is at the origin,the distance from the vertex to the focus (8,0) is p=8.
[tex] {y}^{2} = 4(8)x[/tex]
[tex] {y}^{2} = 32x[/tex]
Answer:
C on edge
Step-by-step explanation:
The function g(x) = 2^x. The function f(x) = 2^x + k and k < 0. Which of the following statements is true?
The graph of f(x) is shifted k units above the graph of g(x). Therefore, the option C is the correct answer.
What is the function?Functions are the fundamental part of the calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x.
The given functions are g(x) = 2ˣ and f(x) = 2ˣ+k
To find the transformation, compare the function to the parent function and check to see if there is a horizontal or vertical shift, reflection about the x-axis or y-axis, and if there is a vertical stretch.
Parent Function: g(x)=2x
Horizontal Shift: None
Vertical Shift: None
Reflection about the x-axis: None
Vertical Compression or Stretch: None
So, from graph of g(x) to the graph of f(x), it shifted k units up.
Therefore, the option C is the correct answer.
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"Your question is incomplete, probably the complete question/missing part is:"
The function g(x) = 2ˣ. The f(x) = 2ˣ+k and k < 0. Which of the following statements is true?
A) The graph of f(x) is shifted k units to the left of the graph of g(x).
B) The graph of f(x) is shifted k units to the right of the graph of g(x).
C) The graph of f(x) is shifted k units above the graph of g(x).
D) The graph of f(x) is shifted k units below the graph of g(x).
Eder needs 6 cookies and 2 brownies for every 4 plates he makes for a bake sale. How many cookies and brownies does
Eder need to make 10 plates?
Answer:
12 cookies and 10 brownies
Step-by-step explanation:
Eder needs 15 cookies and 5 brownies.
Given in the question is Eder needs 6 cookies and 2 brownies for 4 plates.
We have to calculate the cookies and brownies required for 10 plates.
Let's first calculate the cookies by unitary method.
∵ 4 plates required cookies = 6 cookies
∴ 1 plate will require cookies = 6/4
∴ 10 plates will require cookies = 6×10/4 = 15
Similarly we will calculate the brownies.
∵ 4 plates required number of brownies = 2
∴ 1 plate will require = 2/4 brownies
∴ 10 plates will require = 2×10/4 = 5 brownies
Therefore 15 cookies and 5 brownies will be required for 10 plates.
what is the answer to x (x+8)=9
Answer:
x=1 or x=−9
Step-by-step explanation:
Let's solve your equation step-by-step.
x(x+8)=9
Step 1: Simplify both sides of the equation.
x2+8x=9
Step 2: Subtract 9 from both sides.
x2+8x−9=9−9
x2+8x−9=0
Step 3: Factor left side of equation.
(x−1)(x+9)=0
Step 4: Set factors equal to 0.
x−1=0 or x+9=0
x=1 or x=−9
Hey there!
(x + 8) = 9
➡️ x + 8 = 9
SUBTRACT 8 to BOTH SIDES
x + 8 - 8 = 9 - 8
CANCEL out: 8 - 8 because that gives you 0
KEEP: 9 - 8 because it helps solve for the x-value
x = 9 - 8
9 - 8 = x
9 - 8 = 1
Therefore your answer is: x = 1
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)