The daily temperature in the month of March in a certain city varies from a low of 24 degrees F to a high of 40 degrees F. Find a sinusoidal function to model daily temperature and sketch the graph. Let t=0 correspond to noon, when the highest temperature of the day occurs.
Please help I'm in the test.
Answer:
d(t)=8cos((pi/12)t)
Step-by-step explanation:
I think this is correct...
A=8 b/c 40-24=16, 16/2 = 8
B=2pi/per, 2pi/24, B = pi/12
Using the equation 2 + 3/41 = 5, what does the value of I equal?
Answer:
i did't see the value I in the equation
Step-by-step explanation:
use the bar diagram to help you solve the equation 4x-12=16.
Answer:
x = 7
Step-by-step explanation:
4x−12=16
Step 1: Add 12 to both sides.
4x−12+12=16+12
4x=28
Step 2: Divide both sides by 4.
4x/4 = 28/4 = 7
x=7
Which of the following options 70
Which equation represents a line which is perpendicular to the line x – 2y = -14?
Answer:
any equation that have the slope of -2
A line which is perpendicular to the line x – 2y = -14 will have a slope of -2
What is a slope?The slope of a line is a measure of its steepness.
Given an equation of a line x – 2y = -14
We know that, the slope of a line perpendicular to another line will have a slope of its negative reciprocal.
Therefore, slope of the line perpendicular to the line x – 2y = -14 will be -2
Hence, equation of the line perpendicular to the line x – 2y = -14 will have a slope of -2
For more references on slope, click;
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i just started taking a math class today and i'm really rusty. my question is
simplify 28-(6+4)=(4-2)
Use distributive property to solve the problem
3 (9 - 10a) - 3a
Answer:
27- 1 = 26
Step-by-step explanation:
How Many Times Done 16 go Into 78!??!!!!?!!?!??!?!?! HELP ME!!!
Answer:
4.87500
Step-by-step explanation:
hope this helps
Answer:
4.875
Step-by-step explanation:
78 divided by 16 = 4.875
Calculate the slope look at pic. Help plz!
What is 10.5% of 28?
Answer:
The answer is 2.94
Step-by-step explanation:
10.5x28 divided by 100=2.94
The drawing plan for an art studio shows a rectangle that is 192 inches by 4 inches. The scale in the plan is 2 in: 5 ft. Find the length and width of the actual studio. Then find the area of the actual studio. The length is feet feet the width is feet, and the area is square
Answer:
Step-by-step explanation:
192in(5ft/2in)=480ft
4in(5ft/2in)=10ft
A=480ft(10ft)=4800ft^2
Write the coordinates of the vertices after a reflection across the line x=-1
Answer:
U is (0,-8)
V is (0,-10)
T is (5,-8)
S is (5,(-10)
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4/5 divided by 3/4 =
Answer:
16/15 or 1 1/15
Step-by-step explanation:
4/5 divided by 3/4
Flip 3/4 so it is 4/3
Multiply 4/5 by 4/3
16/15
WILL GIVE BRAINLIEST Stefan is making new cushion covers for a chair. There are three sizes of
cushions on the chair. What is the surface area of the seat bottom cushion?
A. 990 square inches
B. 846 square inches
C. 320 square inches
D. 756 square inches
Answer: 990
Step-by-step explanation:
(18 x 21) + (3 x 18) + (21 x 18) + (2)(21x3) + (3 x 18) = 990
Answer:
A. 990
Step-by-step explanation:
Help me please quick!
Answer:
28
Step-by-step explanation:
All angles together in the triangle are 180.
62+90+x=180
x=180-(90+62)
x=180-152
x=28
Reuben invested his savings in two investment funds. The $18,000 that he invested in Fund A returned a 5% profit. The amount that he invested in Fund B returned a 1% profit. How much did he invest in Fund B, if both funds together returned a 4% profit?
Answer:
He invested $13500 in fund A, and $4500 in Fund B
Step-by-step explanation:
maths
1. Find the coordinates of the centroid of the triangle with the given vertices.
A(2,3), B(8, 1), C(5,7)
The centroid is ( , )
9514 1404 393
Answer:
(5, 3 2/3)
Step-by-step explanation:
The centroid is the average of the vertex coordinates:
(A +B +C)/3 = ((2, 3) +(8, 1) +(5, 7))/3 = (2+8+5, 3+1+7)/3 = (5, 3 2/3)
Answer:
46940064
Step-by-step explanation:
1)
The angle of inclination is the angle between the horizontal and the ramp.
Using the sine ratio in the right triangle formed by the ground and the ramp
let x be the angle of inclination, then
sinx = \frac{opposite}{hypotenuse}
hypotenuse
opposite
= \frac{0.7}{4.2}
4.2
0.7
, then
x = sin^{-1}sin
−1
(\frac{0.7}{4.2}
4.2
0.7
) ≈ 10° ( to the nearest degree )
(2)
Again there is a right triangle between the ground and the vertical height of the kite, with hypotenuse being length of string.
let y be the height of the kite and x the horizontal distance, then
sin27° = \frac{opposite}{hypotenuse}
hypotenuse
opposite
= \frac{y}{176}
176
y
( multiply both sides by 176 )
176 × sin27° = y , then
y ≈ 80m ( to the nearest metre ) ← height of kite
and
cos27° = \frac{adjacent}{hypotenuse}
hypotenuse
adjacent
= \frac{x}{176}
176
x
( multiply both sides by 176 )
176 × cos27° = x , then
x ≈ 157m ( to the nearest metre ) ← horizontal distance
A coat at a store is originally priced at $85. The store marks the price down to $68. To the nearest percent, what is the percent markdown of the coat ?
Answer:
20%
Step-by-step explanation:
This is because the amount decreased is 17 and 17 is what percent of 85? The answer is 20%.
A person who filed bankruptcy in the past is able to get a 30-year mortgage loan at a rate that is 6% higher than what they could have received if they had not filed. The interest rate this person pays on a $150,000 loan is 11%, compounded monthly. Assume the person could have received the lower interest rate on the loan and saved all of the difference in the payments for the first 10 years of the loan. If this person invested this total amount in an account paying simple interest at the rate of 2.5%, how much money would have accumulated in interest by the time the mortgage is paid off? a. $37,395.18 b. $74,790.37 c. $623.25 d. $3,739.52
Answer:
A. $37,395
Step-by-step explanation:
correct on edge! hope it helps :)
The savings from the difference between the 30–year loan at 11%, which
is 6% gives an interest when the mortgage is paid of approximately;
a. $37,395.18
How can the amount interest accumulated be calculated?
The amount paid is given as follows;
[tex]Monthly \ payment, \ M = \mathbf{\dfrac{P \cdot \left(\dfrac{r}{12} \right) \cdot }\left(1+\dfrac{r}{12} \right)^n }{\left(1+\dfrac{r}{12} \right)^n - 1}[/tex]
Which gives;
[tex]M = \dfrac{150000 \times \left(\dfrac{0.11}{12} \right) \cdot \left(1+\dfrac{0.11}{12} \right)^{30 \times 12} }{\left(1+\dfrac{0.11}{12} \right)^{30 \times 12} - 1} \approx \mathbf{1,428.49}[/tex]
Payment in 10 years = $1,428.49 × 120 ≈ $171,418.8
At the lower interest rate the person could have received (11 - 6 = 5)%, we have;
[tex]M = \mathbf{\dfrac{150000 \times \left(\dfrac{0.05}{12} \right) \cdot \left(1+\dfrac{0.05}{12} \right)^{30 \times 12} }{\left(1+\dfrac{0.05}{12} \right)^{30 \times 12} - 1}} \approx 805.23[/tex]
Payment in 10 years = $805.23 × 120 ≈ $92,227.6
Savings = $171,418.8 - $96,627.6 = $74,791.2
The time duration the savings is invested in the account = 30 years - 10 years = 20 years
Which gives;
Simple interest after 20 years = $74,791.2 × 0.025 × 20 ≈ $37,396.6
Therefore;
The option that best gives the amount of money that would have accumulated in interest is the option a.
a. $37,395.18
Learn more about compound and simple interest here:
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All even numbers
greater than two, can be written
as the sum of two prime numbers
Peter
Give three examples that show that Peter is correct.
Answer:
Step-by-step explanation:
3 + 5 = 8
7 + 11 = 18
11 + 19 = 30
What is the sale price of a hardcover book with a markdown of 46% and original price of 29.00 what is the discount amount
Answer:
15.66
Step-by-step explanation:
First you find what is 46% of 29.00 which is 13.34
Next do 29-13.34 and that is 15.66
that is your answer hope I helped. :)
If you receive $300,000 from the sale of your house and the agent got 7% of the selling price, then the agent got $21,000 and the selling price was $321,000. true or false
Answer:
true
Step-by-step explanation:
Sixteen times a number j is no less than -2
Which equation represents a line which is parallel to the line
y= 2x – 8?
Answer: y=2x
Step-by-step explanation:
Use the slope formula to determine the slope of the line containing the two points.
(-1, -7) and (-6, -3)
A. 10/7
B. -4/5
C. -1/2
D. -5/4
What is the value of the expression below when n=5
Answer:
-6 (i can explain if its needed)
Step-by-step explanation:
[tex]2 - {n}^{2} + 3 \times 14 - {n}^{2} = \\ 2 - {n}^{2} + 42 - {n}^{2} = \\ 2 - 25 + 42 - 25 = - 6[/tex]
A cable TV company charges $28 for the basic service plus $8 for each movie channel. Let y be the total cost
in dollars of subscribing to cable TV, using x movie channels. Find the slope-intercept form of the equation.
Look at pic
Answer:
y= 28x+8
Step-by-step explanation:
PLZ HELP ITS DUE TONIGHT
Because two pairs of angles are congruent, the triangles are similar by
the (select)
QR=
AA Criterion.
QR is similar to BC
Hope it helps.
what are scale drawings
Answer:
A drawing that shows a real object with accurate sizes reduced or enlarged by a certain amount (called the scale). The scale is shown as the length in the drawing, then a colon (":"), then the matching length on the real thing.
Step-by-step explanation:
Answer:
Answer down below!
Step-by-step explanation:
A scale drawing is a drawing that is downsized. They are usually used to see how small to make a particular thing.