Answer:
W=t-30
Step-by-step explanation:
If t is Monday, and Wednesday is W, then T- 30 is saying 30 less then T
Write a ratio equivalent to 17/51
Answer:
I think it’s 17:51
Step-by-step explanation:
need help with this problem
Answer:
¼
Step-by-step explanation:
m1 × m2 = -1
m2 = -1 ÷ -4
m2 = 1/4
Answer:
1/4
Step-by-step explanation:
The slopes of two perpendicular lines are negative reciprocals of each other.
Perpendicular slope = [tex]\frac{-1}{m}[/tex]
The slope (m) of the green line is -4.
To solve the slope of the red line, substituted -4 into the equation:
[tex]\frac{-1}{-4}[/tex]
Solve:
[tex]\frac{-1}{-4}[/tex] which give you [tex]\frac{1}{4}[/tex]
Outside temperature over a day can be modelled as a sinusoidal function. Suppose you know the high temperature of 64 degrees occurs at 4 PM and the average temperature for the day is 50 degrees. Assuming t is the number of hours since midnight, find an equation for the temperature, D, in terms of t.
The equation for the temperature D as a function of time t in hours is given by D = 50 + 14 sin[2π/24 (t - 16)]. This equation uses a sinusoidal function to describe the fluctuation of temperature around the average of 50 degrees with an amplitude of 14 degrees.
Explanation:To model the temperature D at a given time, we use a sinusoidal function based on the high and average temperatures. We know the high temperature of 64 degrees occurs at 4 PM (which is 16 hours after midnight), and the average temperature for the day is 50 degrees. This means the amplitude of the function (or the variation above and below the average) is 14 degrees (which is 64-50).
The sinusoidal function can, therefore, be written as follows: D = 50 + 14 sin[2π/24 (t - 16)]. This function describes how, starting from the average temperature of 50 degrees, the temperature fluctuates by 14 degrees in a sinusoidal manner.
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A rope of length 18 feet is arranged in the shape of a sector of a circle with central angle O radians, as shown in the
accompanying figure. Write the area of the sector. A as a function of
Answer:
[tex]A(\theta)=\frac{162 \theta}{(\theta+2)^2}[/tex]
Step-by-step explanation:
The picture of the question in the attached figure
step 1
Let
r ---> the radius of the sector
s ---> the arc length of sector
Find the radius r
we know that
[tex]2r+s=18[/tex]
[tex]s=r \theta[/tex]
[tex]2r+r \theta=18[/tex]
solve for r
[tex]r=\frac{18}{2+\theta}[/tex]
step 2
Find the value of s
[tex]s=r \theta[/tex]
substitute the value of r
[tex]s=\frac{18}{2+\theta}\theta[/tex]
step 3
we know that
The area of complete circle is equal to
[tex]A=\pi r^{2}[/tex]
The complete circle subtends a central angle of 2π radians
so
using proportion find the area of the sector by a central angle of angle theta
Let
A ---> the area of sector with central angle theta
[tex]\frac{\pi r^{2} }{2\pi}=\frac{A}{\theta} \\\\A=\frac{r^2\theta}{2}[/tex]
substitute the value of r
[tex]A=\frac{(\frac{18}{2+\theta})^2\theta}{2}[/tex]
[tex]A=\frac{162 \theta}{(\theta+2)^2}[/tex]
Convert to function notation
[tex]A(\theta)=\frac{162 \theta}{(\theta+2)^2}[/tex]
A man has 12 coins in his pocket all of which are dimes and quarters if the total value of his change is 225 cents how many dimes and how many quarters does he have
Answer:
Quarters = 7
Dimes = 5
Step-by-step explanation:
Let d = dimes and q = quarters:
d+q = 12
10d+25q = 225
Solve for d:
d = 12-q
Substitute it into the second equation:
120+15q = 225
Subtract 120 from both sides:
15q = 105
Divide by 15 in both sides
q = 7
By setting up a system of linear equations based on the given conditions, we find that the solution involves having 9 dimes and 3 quarters. These numbers satisfy the conditions that there are 12 coins in total which combine to be worth 225 cents.
Explanation:This question is about solving a system of linear equations. Let's assign variable 'd' to the quantity of dimes and 'q' to quarters. We know from the problem that:
d + q = 12, which represents the total number of coins;10d + 25q = 225, with dimes worth 10 cents each, and quarters worth 25 cents each, their total value must be 225 cents.To solve for 'd' and 'q', we can use substitution or elimination method. In this case, let's isolate 'd' in the first equation: d = 12 - q. Then substitute 'd' into second equation: 10(12 - q) + 25q = 225. After simplifying, you will find q = 3. Subtituting q = 3 back into the first equation, we find d = 9. Thus, the man has 9 dimes and 3 quarters.
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A bakery uses 8 tablespoons of honey for every 10 cups of flour to make bread dough. Using the same ratio how many cups do they use with 20 tablespoons of honey?
Answer:
25 cups of flour
Step-by-step explanation:
we know that
A bakery uses 8 tablespoons of honey for every 10 cups of flour
so
using proportion
Find out how many cups they use with 20 tablespoons of honey
[tex]\frac{8}{10}=\frac{20}{x}\\\\x=10(20)/8\\\\x=25\ cups\ of\ flour[/tex]
There will be 25 cups of flour used for 20 table spoons of honey.
Number of teaspoonful of honey used:
8 spoons for 10 cups Let the Number of cups for 20 spoons = dWe can write the relation as :
8 = 1020 = d Cross multiply : 8 × d = 20 × 108d = 200Divide both sides by 8 to isolate dd = 200 ÷ 8 d = 25Hence, 25 cups of flour will be used for 20 teaspoonful of honey.
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Tickets to a local movie theater were sold at $6.00 for adults and $4.50 for students. There were 240 tickets sold for a total of $1155.00. Solve by elimination to find the number of adult tickets sold and the number of student tickets sold
Final answer:
To solve for the number of adult and student tickets sold, the system of equations was created from the given information and solved using the elimination method. The movie theater sold 50 adult tickets and 190 student tickets.
Explanation:
We have two equations based on the information provided about adult and student tickets sold at Family Flicks:
Adult tickets (A) at $6.00 each plus student tickets (S) at $4.50 each, total $1155.00.Let's use elimination to solve this system of equations. To do this, we must eliminate one variable. We can multiply the second equation by -4.5 to align the student ticket coefficient with the first equation:
-4.5A - 4.5S = -1080We then add this equation to the first equation:
6A + 4.5S = 1155-4.5A - 4.5S = -1080(6A - 4.5A) + (4.5S - 4.5S) = 1155 - 10801.5A = 75A = 75 / 1.5A = 50Now that we know there are 50 adult tickets sold, we can find the number of student tickets sold by substituting A into the second original equation:
A + S = 24050 + S = 240S = 240 - 50S = 190The theater sold 50 adult tickets and 190 student tickets.
im to stupit plss help
Answer:
i believe 105ft
Step-by-step explanation:
5×5=25
8×5×.5×4=80
Answer:
105
Step-by-step explanation:
Can someone please help me on 1-4
Answer:
Step-by-step explanation:
13. (09.06 LC) A quadratic function and an exponential function are graphed below. Which graph most likely represents the exponential function? (5 points) graph of function g of x is a curve which joins the ordered pair 0, 1 and 1, 2 and 3, 8 and 5, 32 and 6, 64. Graph of function f of x is a curve which joins the ordered pair 0, 1 and 1, 2 and 3, 10 and 5, 26 and 6, 37 f(x), because an increasing quadratic function will eventually exceed an increasing exponential function g(x), because an increasing exponential function will eventually exceed an increasing quadratic function f(x), because an increasing exponential function will always exceeds an increasing quadratic function until their graphs intersect g(x), because an increasing quadratic function will always exceeds an increasing exponential function until their graphs intersect
Answer:
g(x), because an increasing exponential function will eventually exceed an increasing quadratic function
Step-by-step explanation:
From data, we know that for greater x values, g(x) is greater than f(x).
It is also known that exponential function has greater values than quadratic function for large enough x values.
Which equation can be used to find the volume of this solid?
Answer:
c
Step-by-step explanation:
The formula of volume for a triangle is V = 0.5 X b X a X h.
Ms. Tod has 17 softballs. Her gym class makes 3 teams. Ms. Tod gives the teams
as many softballs as she can, and each team gets the same number of softballs.
How many softballs does Ms. Tod give each team? How many softballs are left?
Answer:
5 for each team, 2 left over
Q: Find the area of the figure shown below and choose the appropriate result.
3 m
2 m
4
m
In the table above, x and y have a linear relationship. Which of the following expressions correctly gives y in terms
of x?
A: X+2
B. 3x
C. 2x+3
D. 2x+1
E. 4x-1
Answer:
The answer to this question is D, 2x+1.
There are 4 red, 6 green, and 5 yellow pencils in a jar. Once a pencil is selected, it is not replaced. Find each probability.
This question deals with calculating probabilities of selecting specific colors of pencils from a jar without replacement. First, find the probability of each of the events separately, and then find their joint probability if events are happening successively by multiplying the individual probabilities.
Explanation:The subject of this question is probability, and it belongs to the field of Mathematics. You're asked to calculate the probability of selecting certain colors of pencils from a jar. The jar contains 4 red, 6 green, and 5 yellow pencils, making a total of 15 pencils. When a pencil is selected, it is not replaced back in the jar, affecting the probabilities of the following selections.
As an example, the probability of drawing a red pencil first (P(red)) would be the total number of red pencils divided by the total number of pencils which equals 4/15. If you then wanted to select a green pencil, the total number of pencils is now 14 (broader outcome space) as a pencil has been removed and not replaced. So, the probability of drawing a green pencil after a red one (P(green|red)) would be 6/14.
To find the probability of both events happening consecutively (drawing a red pencil then a green one), you would multiply the two probabilities together i.e., P(red and green) = P(red) · P(green|red). Applying the same steps to other combinations and you will be able to calculate all the different probabilities.
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Consider the system of equations.
y = –2x + 4,
3y + x = –3
Which statement is true of this system of equations?
Both equations are in slope-intercept form.
The first equation converted to slope-intercept form is y + 2x = 4.
The second equation converted to slope-intercept form is .
Neither equation is in slope-intercept form.
Answer:
The second equation converted to slope-intercept form is y = (-⅓)x - 1
Step-by-step explanation:
y = –2x + 4,
(In the slope intercept form)
3y + x = –3
(Not in the slope intercept form)
3y = -x - 3
y = (-⅓)x - 1
A hot air balloon descended 2,250 feet in 15 minutes. Find the change in altitude per minute (show the process).
PLEASE HELP
Answer:
Step-by-step explanation:
In order to find the rate of change in altitude per minute, divide 2250 by 15 , which equals 150 feet per minute.
Answer:
150 per minute
Step-by-step explanation:
Divide 2250 by 15 to find the rate per minute
Calculate the number in the middle of 2.7 and 9.5
Answer:
I got 6.1 as the answer!
Step-by-step explanation:
The required number in the middle of the numbers 2.7 and 9.5 is 6.1.
To determine the number in the middle of 2.7 and 9.5.
The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
here,
The middle number is evaluated as the sum of the numbers divided by 2,
= 2.7 + 9.5 / 2
= 12.2/2
= 6.1
Thus, the required number in the middle of the numbers 2.7 and 9.5 is 6.1.
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Find the average (mean) of the following test scores.
83, 92, 47, 78, 80
Ο Α. 76
Ο Β. 70
C. 72
Ο.
Ο
Answer:
The average (mean) of the test scores is
A. 76
To find the average (mean) of test scores, add them up and divide by the total number of scores. The average of these test scores is 76.
Explanation:To find the average (mean) of the test scores, you need to add up all the scores and then divide by the total number of scores. In this case, you have 5 test scores: 83, 92, 47, 78, and 80. Adding them all up, you get 83 + 92 + 47 + 78 + 80 = 380. Then, divide the sum by 5 (the total number of scores): 380 / 5 = 76. Therefore, the average of these test scores is 76.
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Jason grew from 36 inches to 40 inches in 1 year. By percent did his growth increase? Round your answer off to the nearest tenths
The percentage increase in Jason's height is 11.1%.
What is the percentage?The percentage is defined as a ratio expressed as a fraction of 100.
For example, If Misha obtained a score of 67% on her exam, that corresponds to 67 out of 100. It is expressed as 67/100 in fractional form and as 67:100 in ratio form.
To find the percentage increase in Jason's height, we can use the following formula:
percent increase = (final value - initial value) / initial value x 100%
In this case, the initial value is 36 inches (Jason's height at the beginning of the year) and the final value is 40 inches (Jason's height at the end of the year). Plugging these values into the formula, we get:
percent increase = (40 - 36) / 36 x 100% = 4 / 36 x 100% = 11.11%
Rounded off to the nearest tenths, the percentage increase in Jason's height is 11.1%.
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What is the range of the data?
Answer:
is the difference between highest and lowest values.
Step-by-step explanation:
What is the angle ACB?
Answer:
∠ ACB = 56°
Step-by-step explanation:
The angle subtended at the centre AOB is twice the angle on the circumference ACB , that is
∠ ACB = 0.5 × 112° = 56°
(y ^ 2 + 5y) ^ 2 + 10(y ^ 2 + 5y) + 24 = 0
Solve the equation by using substitution
Answer:
y=0
Step-by-step explanation:
if you mulitply all of thoughts with any other number you will get a huge number but anything *0 equals 0
If Maria travels at a rate of speed of 50 mph, How far does she go in an hour?
Answer:50 miles
Step-by-step explanation:
Answer:
50 miles
Step-by-step explanation:
If she goes 50 mph which is the same as 50 miles in a hour. That means that since she traveled for 1 hour she went 50 miles.
What is the median of Miguel's data
Answer:
Where is the data
Step-by-step explanation:
1. Which term best describes the angle below?
O A. Acute
O B. Straight
O C. Right
O D. Obtuse
Martin took out an 80/20 mortgage to buy a house costing $145,000. The
first (80%) mortgage has an interest rate of 4.75%, and the second (20%)
mortgage has an interest rate of 7.525%. Both the first mortgage and the
second mortgage are 30-year fixed-rate mortgages. What is his total
mortgage payment for this house?
A) $203.27
B) $730.31
C) $808.38
D) $605.11
Answer:
808.38
Step-by-step explanation:
:)
There are 20 students in speech class and five speeches are given each day. What is the probability that Maria is randomly selected on the first day?
Kwan made a sculpture in the shape of a polyhedron. It only has one base that is a triangle. What three-dimensional figure is her sculpture?
Answer:
Triangular pyramid
Final answer:
Kwan's sculpture with a triangular base is a pyramid, specifically called a triangular pyramid or tetrahedron in geometry.
Explanation:
If Kwan made a sculpture in the shape of a polyhedron with only one base that is a triangle, her sculpture is a pyramid. In geometry, a pyramid is defined as a polyhedron that has a polygonal base and triangular faces that converge at a single point, called the apex. Given that Kwan's sculpture has a triangular base, her sculpture would specifically be called a triangular pyramid or tetrahedron.
Two lines meet at a point that is also the endpoint of two rays. Set up and solve the
appropriate equations to solve for the values of angles x and y.
Answer:
Angle x=19°
Angle Y=53°
I might be wrong though.
Step-by-step explanation:
Since a right angle is 90° and a straight line is 180°,the other side(71+x)=90.Therefore,90-71=19,which is angle x.
There is another straight line,since angle x is 19°.All you have to do is subtract 71+37+19 from 180 to get Angle Y.The answer is 53°.
Angle X=90-71=19
Angle Y=180-37-71-19=53.