Answer:
Part 1
Given equation:
C(t) = -0.30 (t – 12)² + 40For t = 0
C(t) = -0.30 (0 - 12)² + 40 C(t) = -0.30 (-12)² + 40 C(t) = -3.2For t = 12 (noon)
C(t) = -0.30 (12 - 12)² + 40 C(t) = -0.30 (0)² + 40 C(t) = 40For t = 24 (midnight)
C(t) = -0.30 (24 - 12)² + 40 C(t) = -0.30 (12)² + 40 C(t) = -0.30 × 144 + 40 C(t) = - 43.2 + 40 C(t) = -3.2Part 2
attached below
Part 3
C(t) = –0.30(t – 12)² + 40 F(t)=9/5C(t)+32Substituting the values:
F(t)=9/5{–0.30 (t – 12)² + 40}+32 F(t) = -0.54 (t – 12)² + 72 + 32 F(t) = -0.54 (t – 12)² + 1045, 6 and 7, should be simplish
good luck, i hope this helps :)
Answer:
problems 4,5,6,7 (make sure you add °C to the answers given in step one above) *note, these answers given in both answers could be used for any of the deserts chosen, they all have the same formula given.
Step-by-step explanation:
4) box 12
(12,40)
f(12)= 9/5 (40)+ 32
f(12)= 72 +32
f(12)= 104 ° F
box 24
(24, -3.2)
f(24)= 9/5 (-3.2) +32
f(24) = -5.76 +32
f(24)= 26.24 °F
5.
substitute the given C(t) equation into the conversion formula
F(t)= 9/5C(t)+32.
We know from the information given that C(t)=−0.30(t−12)^2 +32
to solve:
F(t)= 9/5[−0.30(t−12)^2+40]+32
F(t)=1.8(−0.3t^2+7.2t−3.2)+32
F(t)=−0.54t^2+12.96t−5.76+32
F(t)=−0.54t^2+12.96t+26.24
6.
on the graph plot the three points (0,-0.32), (12,104), (24,-0.32)
It draw the lines to connect the bottom two points to 12, 104, It should look like upside down V but curved softer like the graph in answer number 2.
7. The changes made to the graph of C(t) to transform it to F(t) was changing the noon temperature (plot point) from 40° C to 104° F. It increased the steepness of the graph.
Two trains started moving at the same time, train A from Boston to New York, and train B from New York to Boston. The distance between the train stations in New York and Boston is 240 miles. The average speed of train A is 60 mph, which is 3 4 of the average speed of train B.
1. How soon will the trains meet
2. How far from New York will the trains meet?
Answer:
------
Step-by-step explanation:
1. The average speed of train A = 60 mph,
The average speed of train B = 60 / 3/4 = 80 mph
Time it takes for trains to meet = 240/(60 + 80) = 240/140 = 12/7 hours
2. The trains meet in 12/7 hours, each traveling at their own speed.
S = D/T, D = S*T
Therefore we can say:
12/7(60) = distance train A is from Boston = 720/7 miles
12/7(80) = distance train B is from New York = 960/7 miles
The distance from New York would = 960/7 miles
Natalie earns $15 per hour. The store offers her a raise-a 4% increase per hour. After the raise, how much will Natalie make per hour?
Answer:
15,6
Step-by-step explanation:
15×104/100=15,6
She make 15,6$ per hour
What do I do in this problem?
Answer: p=60
Step-by-step explanation:
Angles on a straight line always add up to 180 degrees.
So, because you have an angle on the straight line with the arrow going up, you have to do:
180-110=70
This will give you the angle inside of the triangle that is next to 110.
Then you would find the angle next to 130 (using the horizontal line) by using the same method so you would do:
180-130=50
This gives you the angle inside the triangle next to 130.
Then because a triangle always adds up to 180 you would add up the 2 angles you have figured out like this:
70+50=120
Then you would take the answer away from 180 like this:
180-120=60
So, p=60
Hope this helps :)
2(3×+4)=4×+12 i need help with this problem
Answer:
x = 2
Step-by-step explanation:
2(3x + 4) = 4x + 12
6x + 8 = 4x + 12
2x + 8 = 12
2x = 4
x = 2
Susan is planting a flower garden. She planted 4 lilies for every 5 rose bushes. If Susan plants 16 lilies, how many rose bushes did she plant?
Answer:
20 rose bushes
Step-by-step explanation:
You buy a new video game for $60.
The sales tax is 8%.
What is the total cost for the game including sales tax?
Answer:
$64.8
Step-by-step explanation:
To determine the tax, you want to make the percent into a decimal by moving the decimal point over two times the the left, which means 8% would be 0.08. Then, multiply the new decimal by the price. 60 times 0.08 is 4.8. Now, add the tax to the original price. 60+4.8=64.8, so therefore the total cost is $64.8
find two numbers whose sum is 44 and whose difference is 20 (PLEASE HELP I HAVE 5 MINUTES)
ASAP NEED HELP DUE TMR
Factor by using the distributive property: 8x - 4y + 20.
a.2(4x - 2y + 10)
b.8(x - y + 12)
c.4xy(2x - 2y + 5)
d.4(2x - y + 5)
for the data in the table, how many data points are in each group for the median-median line
Answer: left: 5, center: 6, right: 5
Step-by-step explanation:
Answer:
5,5,5
Step-by-step explanation:
1.
The width of a rectangle is 19 centimeters less than double the length.
Let v be length of the rectangle. Write a variable expression for the width.
Answer:
width = 2v - 19
Step-by-step explanation:
I need help with this question
Answer:
It would be b I think
Step-by-step explanation:
9. If AJKL - ANML, find the values of x and y.
Answer:
x = 35, y = 18
Step-by-step explanation:
Since both triangles are similar, their sides must be proportional with means all of them have a common ratio.
If NM = 16, and KJ = 40. 40/16 is the ratio from ∆NML to ∆JKL. The reciprocal(numerator and denominator flip, the product of a number and it's reciprocal is 1) of this is true from ∆JKL to ∆NML.
Now to find the missing sides you multiply a side by the common ratio to find it's corresponding side length.
Dividing by a number is the same as multiplying by the reciprocal of that number.
40/16 can be reduced to 5/2 or 2 ½ as a mixed fraction.
16/40 can be reduced to 2/5 or 0.4 as a decimal.
Since the scale of ∆JKL is greater than ∆NML, you multiply by 5/2 to get the corresponding side of ∆JKL from ∆NML.
Since the scale of ∆NML is less than ∆JKL, you multiply by 2/5 to get the corresponding side of ∆NNL from ∆JKL.
Therefore x = 14 × 5/2 = 70/2 = 35.
y = 45 × 2/5 = 90/5 = 18.
I need a quick update on wat we've been learning in 8th grade
A bank offers an investment account with an annual interest rate of 1.27% compounded quarterly. Heather invests $3400 into the account for 3 years.
(A) Assuming no withdrawals were made, how much money is in Heather's account after 3 years?
(B) How much interest is earned on Heather's investment after 3 years?
15 points! whats value of q?
Answer:
30 degrees
Step-by-step explanation:
Good luck fam
what is thisssssssss
Answer:
it is a game
Step-by-step explanation:
What is the rate of change for the function represented
in the table?
$0.50 per book
$0.67 per book
$1.07 per book
$1.50 per book
The rate of change for the function represented in the table is 1.5.
What is Rate of change?Rate of change, also known as slope or gradient, is a measure of how quickly one variable is changing with respect to another variable. In mathematics, it is typically represented as the ratio of the change in the output variable (y) to the change in the input variable (x) over a given interval.
Let's choose the points (100, 50) and (250, 275). The change in profit between these two points is:
Δy = 275 - 50 = 225
The change in books sold between these two points is:
Δx = 250 - 100 = 150
The slope of the line between these two points is the ratio of the change in profit to the change in books sold:
m = Δy/Δx = 225/150 = 1.5
So the rate of change for the function represented in the table is 1.5,
which means that for every additional book sold, the profit increases by $1.50.
Learn more about Rate of Change here:
https://brainly.com/question/29518179
#SPJ5
What is the approximate value of 31 square root? MAFS.8.NS.1.2
5
6
15
16
Answer:
6
Step-by-step explanation:
[tex]\sqrt{31} =5.56[/tex]
Since it's 5.56, you'll want to round UP because 5 is in the tenths and is closer to 6
Answer:
6
Step-by-step explanation:
31 square root=5.567764363
Well,after u roundup this answer u will get 6
answer asap pls no wrong answers pls
Answer:
(-1.1)
Step-by-step explanation:
i dont if is right just tring yo help
Elena bowls two games on Saturday. Her score in the second game is 30 more than ¾ of her score the first game. Elena's total score for the two games is 478. Write and solve an equation to demonstrate the points scored in her second game.
Answer:
222 = score in 2nd game
Step-by-step explanation:
Let x = score in 1st game
3/4(x) + 30 = score in 2nd game
x + 3/4(x) + 30 = 478 Multiply thru by 4 to eliminate the fraction
4x + 3x + 120 = 1912
7x + 120 = 1912
7x = 1792
x = 256
3/4(x) + 30 = 3/4(256) + 30
= 192 + 30
222 = score in 2nd game
Check: 222 + 256 = 478
help please! Use the area to find the value of x:
Answer:
x = 6
Step-by-step explanation:
A = 1/2bh
36 = 1/2(12)(x)
x = 6
Which expression uses the greatest common factor and distributive
property to write 18 + 24 as a product? Circle the letter of the
correct answer.
A 2(9 + 12)
B 8(10 + 16)
C 6(3) + 6(4)
D 6(3+4)
Lily chose A as the correct answer. How did she get that answer?
Answer: she got that because when you multiply 2 by 9 you get 18 and when you do 2 times 12 you get 24. Choice à is just a disturbuted version of 18+24
Step-by-step explanation:
Answer:
D. 6(3 + 4)
Step-by-step explanation:
because 18 + 24 = 42 and 6(3 + 4) = 42 as well
Lacey pays $15 for each hour of golf lessons and $10 for equipment rental. Is the total cost of Lacey's lesson a function of the number of hours scheduled? Fill in the table with the correct outputs.
Answer:
60
Step-by-step explanation:
15x3=45
5x3=15
15+45=60
A matea le encanta dibujar barquitos.Si traslado su barquito inicial 1 des veces,(2 y 3) ¿Cómo desplazo cada uno de sus puntos?
Answer:
Luego de una búsqueda online, encuentre más información sobre esta pregunta, la cual se puede ver en la imagen del final.
Básicamente lo que tenemos que hacer en este tipo de problemas, es estudiar como los puntos del barco uno cambian cuando hacemos cada transformación, usualmente con un par de puntos ya podremos notar un patrón, y de esta forma entender la transformación que utilizo para mover la figura.
Para conocer las coordenadas de cada punto tenemos que ver el valor de x asociado (el eje horizontal) y el valor de y asociado (el eje horizontal), notar que cada punto está representado por una letra, esto nos permite asociar a los puntos de los distintos barcos.
Entonces, en la transformación de (1) a (2), los cambios en los puntos son:
A (1, 7) --> A₁ (11, 11) (sumamos 10 al eje x, sumamos 4 al eje y)
B (0, 9) --> B₁ (10, 13) (sumamos 10 al eje x, sumamos 4 al eje y)
C (3 , 9) --> C₁ (13, 13) (sumamos 10 al eje x, sumamos 4 al eje y)
Ok, ya con 3 puntos podemos notar un patrón, sea (x, y) un punto cualquiera en el barco (1), el correspondiente punto en el barco (2) va a ser (x + 10, y + 4), esta es la regla utilizada para mover el barco de (1) a (2), lo que es equivalente a decir que movió el barco 10 unidades a la derecha, y 4 unidades para arriba.
Ahora Mateo vuelve a mover el barco, esta vez de (2) a (3).
De vuelta, tenemos que ver como los puntos del barco (2) cambian, y tratar de encontrar un patrón:
A₁ (11, 11) --> A₂ (9, 1) (restamos 2 en el eje x, restamos 10 en el eje y)
B₁ (10, 13) --> B₂ (8, 3) (restamos 2 en el eje x, restamos 10 en el eje y)
C₁ (13, 13) --> C₂ (11, 3) (restamos 2 en el eje x, restamos 10 en el eje y)
De vuelta, ya tenemos suficiente información como para notar el patrón, para un punto (x, y) del barco (2), el correspondiente punto en el barco (3) se escribe como (x - 2, y - 10).
Es decir, movemos el barco (2) 2 unidades para la izquierda y 10 unidades para abajo, asi llegando al barco (3).
A rational number that lies between -2/3 and 5/12
Is Kee
Keelin wants to find the value of t in the equation
}(150 – 30) = 50. Her work is shown below.
Solve: ž (15t – 30) = 50
Choosed
Step 1: 5t -
10 = 50
The equa
Step 2: 5t = 60
Step 3: t = 12
To determ
To find the
Choose
The temperature of chicken soup is 192.7°F. As it cools, the temperature of the soup decreases 2.3°F per minute. What is the temperature in degrees Fahrenheit of the soup after 25 minutes?
Answer: 135.2 °F
Step-by-step explanation:
The temperature decreases at a rate of 2.3 °F per minute.
This means that in 25 minutes, the temperature would have reduced by:
= 2.3 * 25
= 57.5°F
If the original temperature was 192.7 °F, the temperature after 25 minutes will be:
= 192.7 - 57.5
= 135.2 °F
PLEASE HELP PLEASEEEEEEEEEEEEEEEEE
Answer:
B
Step-by-step explanation:
3(d+2)-12d-2
3d+6-12d-2
3d+6-12-2
3d+4-12d= -9+4
Write the y-intercept of the graph of -6x + y = 8.
Answer:
0,8
Step-by-step explanation: