A plane leaves London where the tempretaure outside is 17 C.
The plane rises to a height where the tempreture outside is -43 C.
The tempreture decreases by 2 C with every increase of 300 m in height.
The maximum height of plane is
Answer:
First you find the difference in temperature. Final temperature minus initial temperature. -43-17=-60 So for every 300m temp will minus 2C.
There's a difference of -60, how many -2 is in -60? So -60÷(-2)= 30. 30 times 300m = 9000m or 9km.
The points in the table lie on a line. What is the slope of the line?
Answer:
slope = - [tex]\frac{7}{6}[/tex]
Step-by-step explanation:
Calculate the slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (- 8, 8) and (x₂, y₂ ) = (4, - 6) ← 2 ordered pairs from the table
m = [tex]\frac{-6-8}{4+8}[/tex] = [tex]\frac{-14}{12}[/tex] = - [tex]\frac{7}{6}[/tex]
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9514 1404 393
Answer:
2/3; (x, y) ⇒ (2/3x, 2/3y)1/2; (x, y) ⇒ (1/2x, 1/2y)7/8; (x, y) ⇒ (7/8x, 7/8y)1/4; (x, y) ⇒ (1/4x, 1/4y)Step-by-step explanation:
For dilations about the origin, such as these, the scale factor is always the ratio of any image point coordinate* to the corresponding preimage point coordinate. If the scale factor is k, the transformation can be written as ...
(x, y) ⇒ (kx, ky)
__
S(9,12) ⇒ S'(6, 8) . . . . scale factor is 6/9 = 2/3; relation is (x, y) ⇒ (2/3x, 2/3y)
U(8, 18) ⇒ U'(4, 9) . . . scale factor is 4/8 = 1/2; relation is (x, y) ⇒ (1/2x, 1/2y)
I(0,8) ⇒ I'(0, 7) . . . scale factor is 7/8; relation is (x, y) ⇒ (7/8x, 7/8y)
X(16, 8) ⇒ X'(4, 2) . . . scale factor is 2/8 = 1/4; relation is (x, y) ⇒ (1/4x, 1/4y)
_____
* The origin is the one invariant point in a dilation, so the chosen coordinate cannot be zero.
simplify root 2 divided by root 5 + root 3 by Rationalising in the denominator
Answer:
root4 by 2
Step-by-step explanation:
multiply the whole no with root5-root3 up and down also
The principal amount, $5500, earns 3.75% interest compounded continuously.
a. Write the function that represents the value of the account at any time, t.
b. What will the value be after 6 years?
Answer:
a)
The function that represents the value of the account at any time, t
[tex]\:\:A=Pe^{rt}[/tex]
b)
The total amount accrued, principal plus interest, from compound interest on an original principal of $ 5,500.00 at a rate of 3.75% per year compounded continuously over 6 years is $ 6,887.77.
Step-by-step explanation:
a. Write the function that represents the value of the account at any time, t.
The function that represents the value of the account at any time, t
[tex]\:\:A=Pe^{rt}[/tex]
where
A represents the Future Value
P represents the Principle (Initial Value)
r represents the Interest rate
t represents the time
b) What will the value be after 6 years?
Given
The principal amount P = $5500
Annual Rate r = 3.75% = 3.75/100 = 0.0375
Time Period t = 6 years
To Determine:
The total amount A = ?
Using the formula
[tex]\:\:A=Pe^{rt}[/tex]
substituting the values
[tex]A\:=\:5500\left(2.71828\right)^{\left(0.0375\right)\left(6\right)}[/tex]
[tex]A=5500\cdot \:2.71828^{0.225}[/tex]
[tex]A = $ 6,887.77[/tex] $
Therefore, the total amount accrued, principal plus interest, from compound interest on an original principal of $ 5,500.00 at a rate of 3.75% per year compounded continuously over 6 years is $ 6,887.77.
Simplify fully
16x²y2 over 4xy
Answer:
[tex]4xy[/tex]Step-by-step explanation:
[tex] \frac{16 {x}^{2} {y}^{2} }{4xy} [/tex]
[tex]4 {x}^{2 - 1} {y}^{2 - 1} [/tex]
[tex]4xy[/tex]
The length of the sides of ΔEFG are 144, 128, and 112. The length of the smallest sides of ΔQRS is 280. What is the length of the longest side of ΔQRS?
Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s).
A florist currently makes a profit of $20 on each of her celebration bouquets and sells an average of 30 bouquets every week. She noticed that when she reduces the price such that she earns $1 less in profit from each bouquet, she then sells three more bouquets per week. The relationship between her weekly profit, P(x), after x one-dollar decreases is shown in the graph below.
Use the graph to complete each statement about this situation.
The maximum profit the florist will earn from selling celebration bouquets is $___.
The florist will break-even after___one-dollar decreases.
The interval of the number of one-dollar decreases for which the florist makes a profit from celebration bouquets is (__,__).
Given : A florist currently makes a profit of $20 on each of her celebration bouquets and sells an average of 30 bouquets every week . and graph
To Find : Maximum profit , breakeven point , profit interval
Solution:
The maximum profit the florist will earn from selling celebration bouquets is $ 675
peak of y from Graph
The florist will break-even after Selling 20 one-dollar decreases.
at breakeven
Break even is the point where the profit p(x) becomes 0
The interval of the number of one-dollar decreases for which the florist makes a profit from celebration bouquets is (0 ,20).
after 20 , P(x) is - ve
Answer: EDMENTUM AND PLATO
First Blank: $625
Second Blank: 20
Third Blanks: ( 0, 20 )
Step-by-step explanation:
Please help!! This is super important!!
Answer:
tell me the choices so i can help you............
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Answer:
x=3.6
Step-by-step explanation:
multiply 4 by 9 and then divide by 10
Answer:
x/4=9/10
x*10=9*4
x=(9*4)/10
X=3.6
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WHAT ARE THE INCHES AND CENTIMETERS OF THIS SQUARE AND GIVE REASON
Answer:
dude what type of question is this
-12/7z=48 pls help!!
Write the expression as either the sine, cosine, or tangent of a single angle. (2 points)
cosine of pi divided by three times cosine of pi divided by five plus sine of pi divided by three times sine of pi divided by five.
Answer:
cos(π/3)cos(π/5) + sin(π/3)sin(π/5) = cos(2π/15)
Step-by-step explanation:
We will make use of trig identities to solve this. Here are some common trig identities.
Cos (A + B) = cosAcosB – sinAsinB
Cos (A – B) = cosAcosB + sinAsinB
Sin (A + B) = sinAcosB + sinBcosA
Sin (A – B) = sinAcosB – sinBcosA
Given cos(π/3)cos(π/5) + sin(π/3)sin(π/5) if we let A = π/3 and B = π/5, it reduces to
cosAcosB + sinAsinB and we know that
cosAcosB + sinAsinB = cos(A – B). Therefore,
cos(π/3)cos(π/5) + sin(π/3)sin(π/5) = cos(π/3 – π/5) = cos(2π/15)
Simplify the expression:
10h - 4h=
Answer:
6h=
Step-by-step explanation:
You have to combine the terms the way they are supposed to be
Can someone help me pleaseeee
Answer:
-40
Step-by-step explanation:
An integer is any whole number, positive or negative. However, an integer cannot be a fraction. Since you have just spent $40, you have lost that amount, therefore making your number negative or -40.
Answer 40 - 20
Step-by-step explanation:
20 is he number
Write an expression to represent the area
of the park as the product of its total
length and width.
HELP PLEASE
Answer:
20(x+15.5)
Step-by-step explanation:
Answer:
20(x + 15.5)
Step-by-step explanation:
5/2 x X =1 what’s the answer
Answer: X is 0.4
Explanation: I typed 5/2 x a bunch of random numbers and decimals on a calculator until I tried 0.4 and when I typed 5/2 x 0.4 on the calculator it said 5/2 x 0.4 = 1.
Answer:
3
Step-by-step explanation:
"Find a number which, when added to 3, yields 7"
may be written as:
3 + ? = 7, 3 + n = 7, 3 + x = 1
and so on, where the symbols ?, n, and x represent the number we want to find. We call such shorthand versions of stated problems equations, or symbolic sentences. Equations such as x + 3 = 7 are first-degree equations, since the variable has an exponent of 1. The terms to the left of an equals sign make up the left-hand member of the equation; those to the right make up the right-hand member. Thus, in the equation x + 3 = 7, the left-hand member is x + 3 and the right-hand member is 7.
SOLVING EQUATIONS
Equations may be true or false, just as word sentences may be true or false. The equation:
3 + x = 7
will be false if any number except 4 is substituted for the variable. The value of the variable for which the equation is true (4 in this example) is called the solution of the equation. We can determine whether or not a given number is a solution of a given equation by substituting the number in place of the variable and determining the truth or falsity of the result.
Example 1 Determine if the value 3 is a solution of the equation
4x - 2 = 3x + 1
Solution We substitute the value 3 for x in the equation and see if the left-hand member equals the right-hand member.
4(3) - 2 = 3(3) + 1
12 - 2 = 9 + 1
10 = 10
Ans. 3 is a solution.
Will Mark Brainliest!!! Put these in order from LEAST TO GREATEST Pls.
29, 2.5, 5/4, 5.5, 6, 4.75, 28, 3.7
Answer:
5/4,2.5,3.7,4.75,5.5,6,28,29
Step-by-step explanation:
write 3.25 as a mixed number and improper fraction?
what is 281.4/10*0?
No steps needed just answer
Answer:
0
Step-by-step explanation:
Answer:
0
Step-by-step explanation:
What are the zeros of this function? Circle them on the graph.
Given:
The graph of a function.
To find:
The zeros of this function on the graph.
Solution:
We know that, zeros are the values at which the values of the function is 0. It means, the points where the graph of function intersect the x-axis are know as zeros of the function.
From the given graph it is clear that, the graph intersect the x-axis at two points.
Therefore, the marked points on the below graph are the zeros of the function.
what is 100,000 times 90
Answer:
9000000
Step-by-step explanation:
m% of n =
What is m% of n
please send steps
Answer:
m%(n)
Step-by-step explanation:
whenever the word "of" comes up in a math problem, it's going to mean to multiply. This case is no exception.
m% of n = m%(n)
n=number
m=the percent number
Ex: m=25
n=315
plug the values into m%(n)
25%(315)
There are two different forms you can do to solve this expression.
fraction: 25/100(315)=7875/100=78.75
the reason why it would be 25/100 hundred is because, %=per cent. Cent=100 and per would mean you would have to divide.
decimal: 0.25(315)=78.75
if 25% is 25/100 that means that 25 would be in the hundreths place in a decimal(0.ab)
You forgot the zero in your answer. So your answer would be 0.95
Answer:
yes
Step-by-step explanation:
Answer:
I'm confused
Step-by-step explanation:
How are the quotients shown below related?
− 30 ÷ 6 and 30 ÷ (− 6)
Part B. Will they have the same answer? Why or why not?
Answer:
the quotient of -30/6 and 30/ -6 are same ie. -5, because if the numerator or denominator is negative the quotient will be negative.
hope it helps!
Dilate the the triangle, scale factor = 3 (positive 3, ignore the
negative in the image below) with a center of dilation about
the origin.
A(-7,-6)
B(-5,-2)
C(-1,-5)
Answer:
The rule of dilation is [tex]P'(x,y) = 3\cdot P(x,y)[/tex].
The vertices of the dilated triangle are [tex]A'(x,y) = (-21, -18)[/tex], [tex]B'(x,y) = (-15,-10)[/tex] and [tex]C'(x,y) = (-3,-15)[/tex], respectively.
Step-by-step explanation:
From Linear Algebra, we define the dilation by the following definition:
[tex]P'(x,y) = O(x,y) + k\cdot[P(x,y)-O(x,y)][/tex] (1)
Where:
[tex]O(x,y)[/tex] - Center of dilation, dimensionless.
[tex]k[/tex] - Scale factor, dimensionless.
[tex]P(x,y)[/tex] - Original point, dimensionless.
[tex]P'(x,y)[/tex] - Dilated point, dimensionless.
If we know that [tex]O(x,y) = (0,0)[/tex], [tex]k = 3[/tex], [tex]A(x,y) = (-7,-6)[/tex], [tex]B(x,y) = (-5,-2)[/tex] and [tex]C(x,y) =(-1,-5)[/tex], then dilated points of triangle ABC are, respectively:
[tex]A'(x,y) = O(x,y) + k\cdot [A(x,y)-O(x,y)][/tex] (2)
[tex]A'(x,y) = (0,0) + 3\cdot [(-7,-6)-(0,0)][/tex]
[tex]A'(x,y) = (-21, -18)[/tex]
[tex]B'(x,y) = O(x,y) + k\cdot [B(x,y)-O(x,y)][/tex] (3)
[tex]B'(x,y) = (0,0) + 3\cdot [(-5,-2)-(0,0)][/tex]
[tex]B'(x,y) = (-15,-10)[/tex]
[tex]C'(x,y) = O(x,y) + k\cdot [C(x,y)-O(x,y)][/tex] (4)
[tex]C'(x,y) = (0,0) +3\cdot [(-1,-5)-(0,0)][/tex]
[tex]C'(x,y) = (-3,-15)[/tex]
The rule of dilation is:
[tex]P'(x,y) = 3\cdot P(x,y)[/tex] (5)
The vertices of the dilated triangle are [tex]A'(x,y) = (-21, -18)[/tex], [tex]B'(x,y) = (-15,-10)[/tex] and [tex]C'(x,y) = (-3,-15)[/tex], respectively.
Please help this is algebra 1
problem is in the picture
Answer:
0,1,2,3,4,5
Step-by-step explanation:
You can not buy more than 5 books because you'd have a negative amount of money. So 0,1,2,3,4,5 are the possible values for b.
Marcy needs to make 5 lb of a cashew/raisin mixture for a party. Her local grocery store sells raisins for $4.50/lb and cashews for $9.50/lb. How many pounds of raisins and cashews should she buy if she wants to spend $40? Enter your answers in the boxes. raisins: lb cashews: lb
Answer:
Pounds of raisins = 1.5 lb
Pounds of cashew = 3.5 lb
Step-by-step explanation:
Let
Pounds of raisins = x
Pounds of cashew = y
x + y = 5 (1)
4.50x + 9.50y = 40 (2)
From (1)
x = 5 - y
Substitute x = 5 - y into
4.50x + 9.50y = 40
4.50(5 - y) + 9.50y = 40
22.50 - 4.50y + 9.50y = 40
- 4.50y + 9.50y = 40 - 22.50
5y = 17.5
y = 17.5 / 5
= 3.5
y = 3.5lb
Substitute y = 3.5 into
x + y = 5
x + 3.5 = 5
x = 5 - 3.5
= 1.5
x = 1.5lb
Pounds of raisins = 1.5 lb
Pounds of cashew = 3.5 lb
Suppose x, y and z are integers. Prove that, if 3x−y + 5z is even, then at least one of x, y or z is even.
Given:
x, y and z are integers.
To prove:
If [tex]3x-y+5z[/tex] is even, then at least one of x, y or z is even.
Solution:
We know that,
Product of two odd integers is always odd. ...(i)
Difference of two odd integers is always even. ...(ii)
Sum of an even integer and an odd integer is odd. ...(iii)
Let as assume x, y and z all are odd, then [tex]3x-y+5z[/tex] is even.
[tex]3x[/tex] is always odd. [Using (i)]
[tex]5z[/tex] is always odd. [Using (i)]
[tex]3x-y[/tex] is always even. [Using (ii)]
[tex](3x-y)+5z[/tex] is always odd. [Using (iii)]
[tex]3x-y+5z[/tex] is always odd.
So, out assumption is incorrect.
Thus, at least one of x, y or z is even.
Hence proved.
Jean drove 64 miles per hour for a total of 448 miles on a trip. She used the equation below to calculate the time, t, it would take her to complete the trip.
Answer:
Step-by-step explanation:
since there is no given formula I'm guessing that's what we want to find?
use the dist. = rate * time formula for this kind of problem
or d = r*t ( this looks like the word "dirt" to me so I call this the dirt formula partly b/c it's dirt simple, and it's generally about moving across some give dist. of dirt :P )
so Jean's rate is 64 MPH
her total distance is 448 miles
rearrange the d = rt formula so that you are solving for the thing you don't know.. yet.... t (time) for this case
soooo...
d/r = t
plug in number
448 / 64 = t
7 = t (in hours)