Given the Arithmetic sequence A1,A2,A3,A4A1,A2,A3,A4
29, 39, 49, 59
What is the value of A33A33?
A given line has the equation 2x + 12y = −1.
What is the equation, in slope-intercept form, of the line that is perpendicular to the given line and passes through the point (0, 9)?
Answer
the answer is d
Step-by-step explanation:
Ohm’s Law states that the electrical current, I in amperes, through a resistor is given by the formula 644-14-04-00-00_files/i0210000.jpg where V is the voltage in volts and R is the resistance in ohms. If the current is 6 amperes and the resistance is 18 ohms, what is the voltage?
Answer:
The correct answer is D., or "108 volts".
A deposit of $1,295 at 7% for 180 days what is the interest earned
To find the simple interest on a deposit of $1,295 at a 7% rate for 180 days, we use the formula I = P × r × t. With 180 days being roughly 0.5 years, the interest earned is approximately $45.33.
Explanation:Calculating Simple Interest for a Deposit
To calculate the simple interest earned on a deposit, we can use the simple interest formula which is Interest (I) = Principal (P) × Rate (r) × Time (t).
In this case, a student wants to know the interest earned on a deposit of $1,295 at 7% for 180 days. Since simple interest is usually calculated on an annual basis, we need to adjust the time to reflect a portion of the year. 180 days is equivalent to ½ year (since 180/365 ≈ 0.493). Now we can plug in the values into the formula:
I = P × r × t
I = $1,295 × 0.07 × 0.5
So, the interest earned would be:
I = $1,295 × 0.07 × 0.5I = $45.325
The student will earn approximately $45.33 in interest (rounded to the nearest cent).
Whats the quotient of 2 1/4 and 5/8
Write out the form of the partial fraction decomposition of the function (see example). do not determine the numerical values of the coefficients. (a) x4 + 5 / x5 + 2x3
Which of the following is not one of the three ways to express a ratio A 3/4 B 3:4 C 3 of 4 D 3 to 4
Is 703.005 is greater than or less than seven hundred three and five hundredths
For what values of b will f(x)= log b^x be an increasing function?
Using logarithmic function concepts, it is found that for values of b > 1, [tex]f(x) = \log_b{x}[/tex] will be an increasing function.
What is an logarithmic function?A logarithmic function is modeled by:
[tex]f(x) = \log_b{x}[/tex]
The coefficient b determines the behavior of the function, as follows:
b > 1: The function is increasing.b < 1: The function is decreasing.Hence, for values of b > 1, [tex]f(x) = \log_b{x}[/tex] will be an increasing function.
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How many degrees would the hour hand move in 4hrs?
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
Solve the following inequality: 2(x + 1) – (–x + 5) ≤ –18. A. x ≤ –9 B. x ≤ –20 C. x ≤ –37 D. x ≤ –5
Answer:
Solve the following inequality: 2(x + 1) – (–x + 5) ≤ –18. A. x ≤ –9 B. x ≤ –20 C. x ≤ –37 D. x ≤ –5
Step-by-step explanation:
2 (x + 1) - (-x + 5) ≤ -18
2x + 2 + x - 5 ≤ - 18
3x - 3 ≤ - 18
3x ≤ - 15
x ≤ - 15/3 ≤ - 5
The answer is: D. x ≤ - 5
the oringinal cost of a lamp is $18.95. the lamp is on sale for 25% off. how much will you pay?
Problem Page
Lucy's shop sells
712
quarts of ice cream each day. How much is this in pints?
Write your answer as a whole number or a mixed number in simplest form. Include the correct unit in your answer.
A forest ranger can see for a distance of 12 miles from a firetower how many square miles can he observe?
using 3.14 for pi
area = pi x r^2
since he can see 12 miles in any direction 12 would be the radius
so 3.14 x 12^2 = 452.16 square miles
round the answer as needed.
If (h, •) and (k, •) are subgroups of (g, •), prove that (h n k, •) is a subgroup of (g, •). can the same be said for the union, hu k? prove or give a counterexample.
It takes 8 minutes for Byron to fill the kiddie pool in the backyard using only a handheld hose. When his younger sister is impatient, Byron also uses the lawn sprinkler to add water to the pool so it is filled more quickly. If the hose and sprinkler are used together, it takes 5 minutes to fill the pool. Which equation can be used to determine r, the rate in parts per minute, at which the lawn sprinkler would fill the pool if used alone?
+ 5r = 8
+ 5r = 1
5() = r
= 5r
Let us say that the procedure of completely filling up the pool with water is called “1 job”. Therefore the rates of the equipment in doing the job would be:
Rate of handheld hose = 1 job / 8 minutes ---> 1
Rate of lawn sprinkler = r ---> 2
Rate of the two combines = 1 job/ 5 minutes ---> 3
So we are to find the equation to use, in this case, we simply have to add equations 1 and 2 to get 3:
1 / 8 + r = 1 / 5
Multiplying both sides by 5:
(5 / 8) + 5 r = 1 ---> ANSWER
Answer:
5/8 + 5r = 1
Step-by-step explanation:
Right on edge!
How many minutes does it take an athlete to run a 10.0 kilometer race? assume the athlete's pace is 6.50 minutes per mile. (1 mi = 1.609 km)?
To find out how many minutes it takes an athlete to run a 10.0 kilometer race using a pace of 6.50 minutes per mile, we can set up a proportion and solve for x. The athlete takes approximately 40.33 minutes to run the race.
Explanation:To convert the athlete's pace from minutes per mile to minutes per kilometer, we will use the conversion factor 1 mile = 1.609 kilometers. Therefore, the athlete's pace is 6.50 minutes per 1.609 kilometers. To find out how many minutes it takes the athlete to run a 10.0 kilometer race, we can set up a proportion:
6.50 minutes / 1.609 kilometers = x minutes / 10.0 kilometers
Using cross multiplication, we can solve for x:
x = (6.50 minutes × 10.0 kilometers) / 1.609 kilometers
x = 40.33 minutes (rounded to two decimal places)
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A kitchen assistant knocked over a cooling rack and spilled 12% of the cookies onto the floor Francesca had
to bake 36 more cookies to replace them.
how many cookies were ordered in total
If sin θ = 2 over 7 and tan θ > 0, what is the value of cos θ?
The infinite sequence –1, –2, –3, –4, –5, ... can be generated with which explicit formula?
Answer:
An = (-1)* n
Step-by-step explanation:
An = ( -1) * n
A2 = (-1 ) * 2 = -2
A3= ( -1 ) * 3 = -3
A4= ( -1 ) * 4 = -4
A5= ( -1 ) * 5 = -5
An explicit formula also known as an exact formula is a mathematical formula used to find the nth term in a series or sequence . hence the explicit formula used to find the nth term of this sequence can be represented as
An = ( -1 ) * n where n = number of the next term
Answer:
A
Step-by-step explanation:
i got it right
A set of data with a mean of 62 and a standard deviation of 5.7 is normally distributed. what is the value that is −1 standard deviation from the mean
what is the equation to solve it
For an analysis of variance, the term “one-way” refers to
Let c be the curve of intersection of the parabolic cylinder x2 = 2y, and the surface 3z = xy. find the exact length of c from the origin to the point 4, 8, 32 3 .
To find the exact length of the curve c from the origin to a given point, we can parameterize the curve and use the formula for arc length. In this case, we need to solve for x, y, and z in terms of a parameter t. Then, we can integrate the arc length formula to obtain the exact length.
Explanation:To find the exact length of the curve c from the origin to the point (4, 8, 32/3), we need to first parameterize the curve. Given that x2 = 2y and 3z = xy, we can solve for x, y, and z in terms of a parameter t. Then, we can use the formula for arc length to calculate the length of the curve using integration.
Let's begin by solving for x, y, and z in terms of t:
From x2 = 2y, we have x = √(2t) and y = t2/2.Substituting these values into 3z = xy, we get 3z = √(2t) * (t2/2) or z = (t3√2)/6.Now, we can calculate the arc length using the formula:
L = ∫ sqrt((dx/dt)2 + (dy/dt)2 + (dz/dt)2) dt
Plugging in the values of x, y, and z in terms of t, we can evaluate the integral to find the exact length of curve c.
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Davis Construction is building a new housing development. They begin by mapping the development out on a coordinate grid. They place one of the two swimming pools at (-4, -1) and another at (6, 3). If they want the clubhouse to be exactly halfway between the two pools, find the coordinates of the clubhouse.
A flat rectangular piece of aluminum has a perimeter of 66 inches. The length is 15 inches longer than the width. Find the width.
John has taken out a loan for college. He started paying off the loan with the first payment of $100. Each month he pays, he wants to pay back 1.1 times the amount he payed the month before. Explain to John how to represent his first 20 payments in sequence notation. Then explain how to find the sum of the first 20 payments using complete sentences.
Paula has 3 bananas. She wants to divide each of them into sections. How many 's are there in 3 bananas?
Answer:
B IS 21
Step-by-step explanation:
In a certain town 22 of voters favor a given ballot measure for groups of 21 voters find the variance for the number who favor the measure
Answer:
4.6
Step-by-step explanation:
Allow me to revise your question and hope it will be the same as the original one:
In a certain town 22% of voters favor a given ballot measure for groups of 21 voters find the variance for the number who favor the measure
a. 1.9
b. 13
c. 4.6
d. 3.6
Here is my answer:
Given:
22% of voters favor a given ballot = 0.22 Groups of 21 votersSo the variance is: 21*0.22 = 4.6
We choose B
A mountaineer climbed 1,000 feet at a rate of x feet per hour. He climbed an additional 5,000 feet at a different rate. This rate was 10 feet per hour less than twice the first rate. Which expression represents the number of hours the mountaineer climbed
The equation that represents the number of hours the mountaineer climbed is t = 1000/V1 + 2600(V1 - 5).
How to compute the equation?Based on the information given, V1 = 1000 and V2 = 2V1 - 10.
The time taken will be:
= 1000/V1 + 5000/V2
Well substitute the equations. This will be:
t = 1000/V1 + 5000//(2V1 - 10)
t = 1000/V1 + 5000/2(V1 - 5)
t = 1000/V1 + 2600(V1 - 5).
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