Answers
Answer:
h(t) = -3 + 1.5t
Step-by-step explanation:
Well, the temperature starts at -3, so that will be the y intercept. 1.5 is the rate, so that will be the slope.
h(t) = -3 + 1.5t
Related Questions
a canine's body temperature is considered to be normal if it is 101 degrees Fahrenheit with an absolute deviation of 1.5 degrees Fahrenheit.
A. write an absolute value inequality that represents the normal temperature range. B.solve the inequality. what is the normal temperature range?
Answers
Answer:
Please I don't understand the question or maybe I'm too young for the question I'm so sorry
Suppose you are exchanging currency in the London airport. The currency exchange service there only makes transactions in which one of the two currencies is British pounds, but you want to exchange dollars for Euros. Thus you first need to exchange dollars for British pounds, then exchange British pounds for Euros. At the time you want to make the exchange, the function f for exchanging dollars for British pounds is give by the formula:
f(d)=0.69d−1
and the function gg for exchanging British pounds for Euros is given by the formula
g(p)=1.3p−2
Required:
a. Find a formula for the function that exchanges dollars in return for Euros.
b. How many Euros would you receive for exchanging 450 dollars after going through this two-step exchange process?
c. How many dollars would you need to exchange in order to end up with 60 Euros after this two-step exchange process?
Answers
The two-step exchange process is an illustration of composite functions
The function that converts dollars to Euro is [tex]\mathbf{g(d) = 0.897d - 3.3 }[/tex]You would receive 400.35 Euros, when you exchange 450 dollarsYou would receive 70.6 dollars, when you exchange 60 EurosConverting from dollars to British pounds, we have:
[tex]\mathbf{f(d) = 0.69d - 1}[/tex]
Converting from British pounds to Euro, we have:
[tex]\mathbf{g(p) = 1.3p - 2}[/tex]
(a) Function that converts dollars to Euro
To do this, we simply calculate gf(d)
So, we have:
[tex]\mathbf{g(f(d)) = 1.3f(d) - 2}[/tex]
Substitute [tex]\mathbf{f(d) = 0.69d - 1}[/tex]
[tex]\mathbf{g(f(d)) = 1.3 \times (0.69d - 1) - 2}[/tex]
Expand
[tex]\mathbf{g(f(d)) = 0.897d - 1.3 - 2}[/tex]
[tex]\mathbf{g(f(d)) = 0.897d - 3.3 }[/tex]
Rewrite as:
[tex]\mathbf{g(d) = 0.897d - 3.3 }[/tex]
Hence, the function that converts dollars to Euro is [tex]\mathbf{g(d) = 0.897d - 3.3 }[/tex]
(b) Euro equivalent of $450
In (a), we have [tex]\mathbf{g(d) = 0.897d - 3.3 }[/tex]
Substitute 450 for d
[tex]\mathbf{g(450) = 0.897 \times 450 - 3.3 }[/tex]
[tex]\mathbf{g(450) = 403.65 - 3.3 }[/tex]
[tex]\mathbf{g(450) = 400.35}[/tex]
Hence, you would receive 400.35 Euros, when you exchange 450 dollars
(c) Dollar equivalent of 60 Euros
In (a), we have [tex]\mathbf{g(d) = 0.897d - 3.3 }[/tex]
Substitute 60 for g(d)
[tex]\mathbf{60 = 0.897d - 3.3 }[/tex]
Add 3.3 to both sides
[tex]\mathbf{0.897d = 63.3 }[/tex]
Divide both sides by 0.897
[tex]\mathbf{d = 70.6}[/tex]
Hence, you would receive 70.6 dollars, when you exchange 60 Euros
Read more about composite functions at:
https://brainly.com/question/20379727
Solve the proportion for v.
6
0]>
9 =
100
V
v = [?]
Answers
Answer:
v = 12
Step-by-step explanation:
[tex]\frac{9}{v}[/tex] = [tex]\frac{6}{8}[/tex] ( cross- multiply )
6v = 8 × 9 = 72 ( divide both sides by 6 )
v = 12
Answer:
v=12
9/v =6/8 (cross - multiply)
6v = 8 x 9 = 72 (divide both sides by 6)
v = 12
Step-by-step explanation:
that's my answer
Multiply as indicated. Write the product in standard form.
(2+i)^2
Answers
Answer:
3 + 4i
Step-by-step explanation:
What is the product of 0.15 x 0.32? *
Answers
Answer:
0.048
Step-by-step explanation:
Answer:
The answer to 0.15 x 0.32 is 0.048
I need help with my math homework :(
Answers
We plug in 14 for x when we set the two equations equal to each other to prove they are equal.
So true LM congruent to MN
what is the slope of y=-4?
Answers
Hello there!
The slope of this line is 0.
y=-4 is a horizontal line.
We find the slope using the formula Rise/Run.
The rise is 0, and no matter what the run is, the slope is 0 anyway.
Hope this helps!
~Just a cheerful teen
#CarryOnLearning
[tex]SilentNature[/tex]
A sequence has a common ratio of Three-halves and f(5) = 81. Which explicit formula represents the sequence?
f(x) = 24(Three-halves) Superscript x minus 1
f(x) = 16(Three-halves) Superscript x minus 1
f(x) = 24(Three-halves) Superscript x
f(x) = 16(Three-halves) Superscript x
Answers
Answer:
f(x) = 16*(3/2)^(x-1)
Step-by-step explanation:
See attachment.
Answer:
B
Step-by-step explanation:
what number is 12% of 315
Answers
Answer:
12% of 315 is 37.8 :) Tag me if I'm wrong
Answer:
x = 37.80
Step-by-step explanation:
The decimal form of 12% is 0.12. An easy way of converting percentage into decimal by moving the decimal point two places to the left. Hence, 12% = 0.12.
The given statement, "What number is 12% of 315" can be expressed algebraically as:
x = 0.12 × 315.
x = 37.80
Therefore, 37.80 is 12% of 315.
-6) -6x — 10y = 3
12х + 20 y = 0
Elimination or substitution?
Solve
Answers
Answer:
Elimination and y=4 x=6
Step-by-step explanation:
If one-third of a number is 24 less than the thrice of the number, find the number.
Answers
Answer:
9
Step-by-step explanation:
Let the number be 'x'
One third of a number : (1/3) *x
Thrice the number = 3x
[tex]3x -24=\dfrac{1}{3}x\\\\3x - \dfrac{1}{3}x = 24\\\\\\[/tex]
Multiply the entire equation by 3
9x - x = 72
8x = 72
Divide both sides by 8
x = 72/8
x = 9
The average daily maximum temperature in Syracuse is 21.85°C, and the average daily minimum temperature is -4.7°C. The average daily maximum temperature is:
____ °C higher than the average daily minimum temperature.
Answers
Answer:
26.55°C
Step-by-step explanation:
21.85 - - 4.7
21.85 + 4.7
26.55
Have a nice day!
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)
- Heather
722000
= ×10
its scientific notation help please
Answers
Answer:
7.22 x 10^5
Step-by-step explanation:
Remember that the decimal is always to the right of the ones place.
1. Move it one place to the left and multiply by 10 to compensate.
2. Move it two places to left and multiply by 10^2.
3. Move the decimal point three times and multiply 10^3 to compensate, and the pattern continues until you reach the very last digit, the 7.
4. Numbers after the 7 that are not zeros will be after the decimal point.
so, 7.22 x 10^5
Clara Clatter was born on December 27th, yet her birthday is always in the summer. How is this possible
Answers
Answer:
She lives in the Southern Hemisphere.
Step-by-step explanation:
You counted 28 big dogs and 20 small dogs running around at the park.
What was the small dogs to big dogs ratio ?
Answers
Answer:
5:7
Step-by-step explanation:
round 2,419 to the nearest hundred
Answers
Answer:
2,400
Step-by-step explanation:
Can I please have brainliest?? thanks!! have an awesome day and good luck with your math :)
Answer:
2,400
Step-by-step explanation:
HELP ASAP!!!!!!!!! IM SO PUZZLED
Answers
3:7 is the largest ratio.
Each child at table 1 gets 40% of a pizza. Each child at table 2 gets about 43% of a pizza. Each child at table 3 gets about 42% of a pizza.
hope this helps!
Janine opens a savings account with a deposit of $720. The account pays 1.4% interest, compounded daily. What is the first day's interest? Round to the nearest cent.
Answers
Answer:
The interest is $0.03
Step-by-step explanation:
($720*0.014)/365
The first day's interest will be $10.15 if Janine opens a savings account with a deposit of $720. The account pays 1.4% interest, compounded daily.
What is compound interest?It is defined as the interest on the principal value or deposit and the interest which is gained on the principal value in the previous year.
We can calculate the compound interest using the below formula:
[tex]\rm A = P(1+\dfrac{r}{n})^{nt}[/tex]
Where A = Final amount
P = Principal amount
r = annual rate of interest
n = how many times interest is compounded per year
t = How long the money is deposited or borrowed (in years)
It is given that:
Janine opens a savings account with a deposit of $720. The account pays 1.4% interest, compounded daily.
P =$720
r = 1.4% = 0.014
n = 365
t = 1 day
[tex]\rm A = 720(1+\dfrac{0.014}{365})^{365\times1}[/tex]
After solving:
A = $730.15
The interest I = A - P
I = $730.15 - 720
I = $10.15
Thus, the first day's interest will be $10.15 if Janine opens a savings account with a deposit of $720. The account pays 1.4% interest, compounded daily.
Learn more about the compound interest here:
brainly.com/question/26457073
#SPJ2
12. Carter has 3 statues of various sizes in his garden. Statue A is one foot taller than
Statue B. Statue C is one-half of a foot taller than Statue B.
13
Let x represent the height of Statue B. Write expressions to represent Statue A and
Statue C.
Statue A
Statue B
Х
Statue C
14 If the total combined height of the 3 statues is 34.5 inches, find the height of
Statue B.
Answers
Answer: B is 11 feet tall
A=x+1 since A is one more than B
C=x+1/2 since C is one half more than B
B=x since B is just B
A+B+C=34.5
x+1+x+x+1/2=34.5
3x+1.5=34.5
3x=33
x=11
B is 11 feet tall
Write a rule to describe each transformation.
- A
- B
- C
- D
Answers
Answer:
A, a dilation of 2
Step-by-step explanation:
The answer is, A dilation of 2 because the image is getting dilated to a bigger form. If it was a decimal or a fraction; the image would be smaller and than the pre-image.
(Pre-image is a shape before a transformation, image is after a ransformation.)
Have a great day friend! :D
solve for y -3.3+y/4=9.7
Answers
Answer: y= 5 /52 = 10 2/5 = 10.4
Step-by-step explanation:
-3.3+y/4=-9.7
We move all terms to the left:
-3.3+y/4-(-9.7)=0
We add all the numbers together, and all the variables
y/4+6.4=0
We multiply all the terms by the denominator
y+(6.4)*4=0
We add all the numbers together, and all the variables
y+25.6=0
We move all terms containing y to the left, all other terms to the right
y=-25.6
plz help will mark as brainliest
Answers
Explanation:
10/2 = 5
Laura wants to place a flowerpot every 3/4 meters along the path from the gate to the main entrance of her home the path is 12 meters long how many flowerpots will she need
Answers
Answer:
16 pots
Step-by-step explanation:
Laura wants to place a pot every 3/4 (0.75)m
The length she wants to cover is 12m
So all we must do is divide
1) 12/0.75 (I converted the fraction to a decimal cause its easier)
2) 12/0.75 = 16
3) which means for each 3/4 there will be one pot so there is 16 pots in total
Find the slope of the line that passes through point A (-2,0)and point B (0,10) using m=rise/run
Answers
Answer:
m = 5
Step-by-step explanation:
The x-coordinate of A is -2 and that of B is 0. The increase in this coordinate from A to B is 2. Similarly, the y-coordinate increases by 10. The slope is therefore m = rise / run = 10/2, or m = 5
A(-5‚-8) B(2‚-3) And C(-2‚9) are the vertices of ∆ABC. find the coordinates of its image under the rotation through 180°
in anti-clock wise direction about origin? HELP Meeeee
Answers
Answer:
see explanation
Step-by-step explanation:
Under a rotation about the origin of 180°
a point (x, y ) → (- x, - y ) , then
A (- 5, - 8 ) → A' (5, 8 )
B (2, - 3 ) → B' (- 2, 3 )
C (- 2, 9 ) → C' (2, - 9 )
Which term of the arithmetic sequence 1, 3, 5, 7, ... is 99?
It is the
th term.
Answers
Answer:
it is the 50th tearm
Step-by-step explanation:
I just added '2' to '1' 50 times in a sense and got 99
l
A ball is projected upward from ground level. After (t) seconds, its height in feet is
given by the function “h(t) = -16(t)^2 + 112(t)” After how many seconds will the ball reach a height of 192 ft for the first time?
Answers
Answer: 3 seconds
Step-by-step explanation:
h(t) = -16(t)^2 + 112(t)
Set h(t) = 192 feet
192 = -16(t)^2 + 112(t)
0 = -16(t)^2 + 112(t) - 192
Solve using the quadratic formula: There are two solutions, 3 and 4 seconds. Three seconds is the first time it reachers 192 feet, At four seonds it's on its way down.
The function can also be graphed (attached).
The sale of cars in a particular month is decreased by 20% is $3060. What was the sale of cars before reduction.
Answers
Answer:
$3672
Step-by-step explanation:
3060 x 20% = 612
612 + 3060 = 3672
Two trains are traveling at a constant rate. Find the rate of each train. Which train is traveling at a faster rate?
Answers
Answer:
Train A
Step-by-step explanation:
Look at the table.
Train A : 75 - 50/ 3 - 2 = 25 mi/n
Train B : 40 - 0/ 2 - 0 = 20 mi/n
25 > 20
So it's train A.
{ RATE }
HELP ASAP!!!
What are the exact solutions of x2 − 3x − 1 = 0 using x equals negative b plus or minus the square root of the quantity b squared minus 4 times a times c all over 2 times a?
x = the quantity of 3 plus or minus the square root of 5 all over 2
x = the quantity of negative 3 plus or minus the square root of 5 all over 2
x = the quantity of 3 plus or minus the square root of 13 all over 2
x = the quantity of negative 3 plus or minus the square root of 13 all over 2
Answers
Explanation:
The given equation is in the form [tex]ax^2+bx+c=0[/tex], where,
a = 1b = -3c = -1Use the quadratic formula to get the following
[tex]x = \frac{-b\pm\sqrt{b^2-4ac}}{2a}\\\\x = \frac{-(-3)\pm\sqrt{(-3)^2-4(1)(-1)}}{2(1)}\\\\x = \frac{3\pm\sqrt{9+4}}{2}\\\\x = \frac{3\pm\sqrt{13}}{2}\\\\[/tex]
The last equation matches with choice C.