a complete circle is 360 degrees, there are 12 numbers on a clock
360/12 = 30 degrees between each number
30 * 4 = 120 degrees in 4 hours
Jim drove 204 miles in 4 hours. If he can keep the same pace how long will it take him to drive 918 miles
a rectangle has a width of 17 ft and a lenghth of 8ft....PLEASE HELP ME SOS!!! ASAP!!!
perimeter is 17 +17 +8 + 8 = 50 feet
area = 17 x 8 = 136 square feet
cost = 136 x $3.50 = $476.00
find the volume of a sphere with a diameter of 25 cm. approximate pi as 3.14 and round your answer to the nearest hundredth
If the measure of angle A is 40* and the length of side b is 15 inches, which can be the length of side a if it is possible to form two triangles
A bag contains 40 marbles, 4 of which are blue, 10 are red, 25 are green, and 1 is purple. Shawna takes a marble out of the bag, records the color, and returns it to the bag. How many green marbles should she expect after 400 trials? (5 points)
Two people are traveling and need to exchange the currency of their native country for the currency of the country they are visiting. drag each exchange to match the ratio of currency to currency in each category.
Answer:
The solution is shown in attached figure.
Step-by-step explanation:
In table 1,
US currency (Dollars) Foreign currency
50.00 31.50
The foreign currency per US dollar is
[tex]\frac{31.50}{50}=0.63[/tex]
Therefore 0.63 is not equal to the exchange rate of Mexican peso and euro.
In table 2,
US currency (Dollars) Foreign currency
20.00 14.60
The foreign currency per US dollar is
[tex]\frac{14.60}{20}=0.73[/tex]
Therefore 0.73 is equal to the exchange rate of euro.
In table 3,
US currency (Dollars) Foreign currency
25.00 18.25
The foreign currency per US dollar is
[tex]\frac{18.25}{25}=0.73[/tex]
Therefore 0.73 is equal to the exchange rate of euro.
In table 4,
US currency (Dollars) Foreign currency
40.00 724.80
The foreign currency per US dollar is
[tex]\frac{724.80}{40}=18.12[/tex]
Therefore 18.12 is equal to the exchange rate of Mexican peso.
In table 5,
US currency (Dollars) Foreign currency
15.00 271.80
The foreign currency per US dollar is
[tex]\frac{271.80}{15}=18.12[/tex]
Therefore 18.12 is equal to the exchange rate of Mexican peso.
Ignoring color, what kind of symmetry does the pinwheel have? A. rotational symmetry B. line symmetry C. both rotational and line symmetry D. neither
A journal entry for the sale of $10 par common stock for $18 per share would include
a. a credit to Cash
b. a debit to common stock
c. a credit to Paid in Capital in Excess of Par-Common Stock
d. a debit to Paid in Capital n Excess of Par-Common Stock
A school did a survey among 100 students to find their sports preferences. The students were asked about their preferences for football or baseball. Out of the total 77 people who liked football, 48 also liked baseball. There were 65 people who liked baseball. Part A: Summarize the data by writing the values that the letters A to I in the table below represent. (5 points) Like football Do not like football Total Like baseball A D G Do not like baseball B E H Total C F I Part B: What percentage of the survey respondents did not like either football or baseball? (3 points) Part C: Do the survey results reveal a greater dislike for football or baseball? Justify your answer. (2 points)
An animal shelter has a total of 350 animals comprised of cats, dogs, and rabbits. If the number of rabbits is 5 less than one-half the number of cats, and there are 20 more cats than dogs, how many cats are at the shelter?
To find the number of cats at the animal shelter, we can set up and solve a system of equations using the given information. In this case, the number of dogs is 126 and the number of cats is 146.
Explanation:To solve this problem, let's assign variables to represent the number of cats, dogs, and rabbits at the shelter. Let's say the number of cats is 'c', the number of dogs is 'd', and the number of rabbits is 'r'.
From the given information, we can form three equations:
The total number of animals is 350: c + d + r = 350The number of rabbits is 5 less than one-half the number of cats: r = (1/2)c - 5There are 20 more cats than dogs: c = d + 20Using these equations, we can solve for the value of 'c' (the number of cats).
By substituting the value of 'c' from equation 3 into equation 2, we get:
r = (1/2)(d + 20) - 5
Now, we substitute the values of 'c' and 'r' from equations 3 and 1 into equation 1:
(d + 20) + d + ((1/2)(d + 20) - 5) = 350
Simplifying this equation, we get:
2d + (1/2)d + 35 = 350
Combining like terms, we have:
4d + d + 70 = 700
Simplifying further, we find:
5d + 70 = 700
Subtracting 70 from both sides of the equation, we get:
5d = 630
Dividing both sides by 5, we find that d = 126. Therefore, there are 126 dogs at the shelter.
Finally, by substituting the value of d back into equation 3, we find:
c = 126 + 20 = 146. Thus, there are 146 cats at the shelter.
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A certain species of tree grows an average of 4.2 cm per week. write an equation for the sequence that represents the weekly height of this tree in centimeters if the measurements begin when the tree is 200 centimeters tall.
Average growth rate = 4.2 cm/week.
So, common difference d = 4.2
The height of the tree a0 = 200 centimeters.
The height of the tree after end of the first week a₁ = 200 + 4.2 = 200 + 4.2(1)
The height of the tree after end of the second week a₂ = 200 + 4.2 + 4.2 = 200 + 4.2(2).
The height of the tree after end of the third week a3 = 200 + 4.2 + 4.2 + 4.2 = 200 + 4.2(3).
The height of the tree after the end of the nth week an = 200 + 4.2(n).
The equation is a_n = 200 + 4.2(n).
Kurt wants to have $25,000 in an investment account four years from now. the account will pay 0.2 percent interest per month. if he saves money every month, starting one month from now, how much will he have to save each month to reach his goal
Kurt will have to save an amount of $496.75 each month.
What is Compound Interest?Compound interest is defined as the amount of interest which has been calculated on the principal amount as well as the amount accumulated over the previous period is also included.
Final amount of the account, A = $25,000
Interest rate, r = 0.2% = 0.002
Number of years, t = 4 years
Interest compounded monthly, so n = 12
Annuity can be found using the formula,
Annuity = 25,000 ÷ {[(1 + 0.002)^(12×4) - 1] / 0.002}
= 25,000 ÷ {[(1.002)⁴⁸ - 1] / 0.002}
= 496.75
Hence the amount Kurt needs to save each month is $496.75.
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Peter decides to mix grades of gasoline in his truck. He puts in 11 gallons of regular and 7 gallons of premium for a total cost of $76.99. If premium gasoline costs $0.25 more per gallon than regular, what was the price of each grade of gasoline?
Final answer:
Peter bought regular and premium gasoline at $4.18 and $4.43 per gallon respectively, after solving a system of equations based on the total gallons and cost.
Explanation:
We are given a problem where Peter mixes two grades of gasoline—regular and premium—with premium costing $0.25 more than regular. To solve this, we can set up a system of equations representing the cost of each type of gasoline and the total cost.
Let the cost per gallon of regular gasoline be r, and thus premium will be r + $0.25 as it is $0.25 more expensive. Peter buys 11 gallons of regular and 7 gallons of premium, spending a total of $76.99. So, we have two equations:
11r + 7(r + $0.25) = $76.99r = regualar gasoline price per gallonSimplifying the first equation:
11r + 7r + $1.75 = $76.99
18r + $1.75 = $76.99
18r = $76.99 - $1.75
18r = $75.24
r = $75.24 / 18
r = $4.18
So the regular gasoline price per gallon is $4.18 and the premium gasoline price per gallon is $4.18 + $0.25 = $4.43.
An object is dropped off a building that us 144 feet tall. After how many seconds does the object hit the ground? (s= 16t^2)
Answer:
After 3 seconds the object hit the ground.
Step-by-step explanation:
An object is dropped off a building that us 144 feet tall. After how many seconds does the object hit the ground.
Given that displacement, s = 16t²
To reach ground displacement should be 144 feet.
That is
s = 16t² = 144
t² = 9
t = 3 seconds.
After 3 seconds the object hit the ground.
If using spss, what is the exact likelihood of obtaining a t-test value at least as extreme or as close to the one that was actually observed, assuming that the null hypothesis is true
Supposing that the null hypothesis is true, the precise possibility of obtaining a t-test value at least as extreme or as ear to the one that was actually observed was 0.1%. This value can be found in the “Independent Samples t-test” table in the SPSS output, where the exact p value is reported as 0.001. If the null hypothesis is assumed to be true, then statistically noteworthy result should be highly improbable. The rejection of the null hypothesis implies that the correct hypothesis lies in the logical complement of the null hypothesis.
To add, used for non-batched and logical batched statistical analysis, SPSS Statistics was a software package for that specific purpose.
A = h/2 * (a + b ); for h
8.76× 10 6 is times than 8.76× 10 2 .
10^6 = 10 *10*10*10*10*10 = 1,000,000
10^2 = 10*10 = 100
1000000/100 = 10,000 times larger
The scatter plot below shows the relationship between the length (x) in meters and mass f(x) in kg of a marine animal
(1,0)(2,10)(3,20)(4,30)(5,40)(6,50)(7,65)(8,70)(9,80)(10,90)
Which of the following fuction is best represented by the scatter plot?
F(x)=9-10.3x
F(x)=-10.3+9x
F(x)=-9+10.3x
F(x)=10.3-9x
Answer:
F(x)=-9+10.3x
Step-by-step explanation:
Given:
(1,0)
(2,10)
(3,20)
(4,30)
(5,40)
(6,50)
(7,65)
(8,70)
(9,80)
(10,90)
F(x)=9-10.3x and F(x)=10.3-9x cannot be the function of given scatter plot since the slope in these functions are negative
So, The equation of line can be F(x)=-10.3+9x or F(x)=-9+10.3x
Refer the attached figure.
Using desmos calculator
We conclude that the function is best represented by the scatter plot is [tex]F(x)=-9+10.3x[/tex]
Raphael paid 636 for camera during a 60% off sale with the cameras regular price
$10,000 is invested at two different rates. $2,500 is invested at 4%, and the rest is invested at 5%. How much interest is earned at the end of one year? Show all work for full credit.
G study find the exact value of each of the remaining trigonometric functions cos theta=4/5 270< theta
Given that cos theta is 4/5 within the 270 to 360-degree range, sin(theta) is -3/5, tan(theta) is -3/4, sec(theta) is 5/4, csc(theta) is -5/3, and cot(theta) is -4/3.
Explanation:The question indicates that we are dealing with trigonometry and specifically asks for the remaining trigonometric functions given that cos theta = 4/5 and theta is in the range of 270o to 360o.
This implies that theta is in the fourth quadrant where cosine is positive, and the other trigonometric functions can have different signs.
Since we have the cosine of theta, we can use the Pythagorean identity to find the sine of theta. The identity states that in2(theta) + cos2(theta) = 1.
Plugging in the given cosine value, we have:
sin2(theta) + (4/5)2 = 1
sin2(theta) = 1 - 16/25
sin2(theta) = 9/25
sin(theta) = ±√(9/25) = ±3/5
However, since theta is in the fourth quadrant, the sine is negative, and therefore we find:
sin(theta) = -3/5
For the tangent of theta, we use the definition tan(theta) = sin(theta)/cos(theta), which yields:
tan(theta) = (-3/5) / (4/5) = -3/4
The values of the other three trigonometric functions (secant, cosecant, and cotangent) are the reciprocals of the three we just calculated:
sec(theta) = 1/cos(theta) = 5/4
csc(theta) = 1/sin(theta) = -5/3
cot(theta) = 1/tan(theta) = -4/3
Two pairs of shoes and four pairs of socks cost $131, and three pairs of shoes and five pairs of socks cost $190. Find the cost of a pair of socks.
Text me the answer please
A boat takes 4 hours to go 20 miles upstream.It can go 32 miles downstream in same time.Find the rate of the current and the rate of the boat in still water.
a culture started with 6,000 bacteria. After 4 hours, it grew to 6,600 bacteria. Predict how many bacteria will be present after 10 hours. round your answer to the nearest whole number.
P = 6,600
A = 6,000
t = 4
k = ?
6600 = 6000e^(4k)
6600/6000 = e^(4k)
1.1 = e^(4k)
Take the natural log of both sides.
ln 1.1 = 4k ln e (remember that ln e = 1)
ln 1.1 = 4k
(ln 1.1) / 4 = k
k = 0.0238
Bacteria after 10 hours.
P = 6000e^(0.0238*10)
= 6000e^0.238
= 7612
Therefore, the bacteria will grow to 7612 after 10 hours.
What is the inverse of the function below? F(x) = x - 6
Answer:
f(x)=x+6
Step-by-step explanation:
its the exact opposite of the answer, so if it was x-6 then the inverse would be x+6
If there are 400 cubic centimeters of a chemical in 1 liter of solution, how many cubic centimeters of water must be added to dilute it to a 25% solution?
A $28,000 car loan is used to purchase a new car. The loan is for 6 years and has a 5.75% APR. Use the amortization formula to determine the amount of the monthly payments.
Find the value of ab
Can someone please solve this ASAP?
surface area = 5ab +5bh
a = 4
b=7
h=18
5*4*7 = 140
5*7*18 = 630
630+140 = 770 square meters