Evaluate. for n = 15 and t = 7
Answers
Answer:
what is the equation?
Step-by-step explanation:
Related Questions
4) A skating rink rents skates at $3.95 for the first hour plus $1.25 for each additional hour. When you returned your skates, you paid $7.70. How many additional hours did you keep
the skates?
Answers
No matter what, you will always have to pay $3.95. So, this will add on to any amount that you pay for staying at the rink.
But, we don’t know how many hours we stayed.
So, the cost of renting the skates for each additional hour will be multiplied by x.
This is our equation.
y = 1.25x + 3.95
Now, we are told that the total we paid, or our y value, is $7.70.
So, plug that in for y and then solve for x.
7.70 = 1.25x + 3.95
Subtract 3.95 from both sides
3.75 = 1.25 x
Divide both sides by 1.25 to isolate x
x = 3
We skated for an additional 3 hours.
the distance that a free falling object falls is directly proportional to the square of the time it falls (before it hits the ground). if an object fell 83ft in 3 seconds, how far will it have fallen by the end of 6 seconds? round your answer to the nearest integer if necessary.
Answers
The distance the object will have fallen after 6 sedconds is 332ft
What is variation?A variation is a relation between a set of values of one variable and a set of values of other variables.
Direct variation
In the equation y = mx + b, if m is a nonzero constant and b = 0, then you have the function y = mx (often written y = kx), which is called a direct variation. That is, you can say that y varies directly as x or y is directly proportional to x. In this function, m (or k) is called the constant of proportionality or the constant of variation. The graph of every direct variation passes through the origin.
le the distance be d and he time be t
so that d ∝\(t^{2}\)
removing the proportionality sign and replacing it with a constant k
d = kt^2
when d = 83, t = 3
83 = k(3)^2
83 = 9k
k = 83/9
the equation becomes
d = 83/9 (t)^2
when t = 6, d becomes
d = 83/9 x(6)^2
d = 83/9 x 36
d = 332ft
In conclusion d = 332ft
Learn more about direct variation: https://brainly.com/question/6499629
#SPJ1
Gina is building a rectangular prism out of sugar cubes for her art class project. She started by drawing a diagram of the rectangular prism that is 4 cubes high, 4 cubes long and 2 cubes wide. How many cubes does she use to make the prism?
Answers
The rectangular prism is made up of the dimensions
Lenght = 4 cubes
Width = 2 cubes
Height = 4 cubes
The total number of cubes she needs shall be derived as number of cubes along the lenght multiplied by number of cubes along the width, and then multiplied by number of cubes along the height. Therefore, she would have:
\(volume = l \times w \times h \\ volume \: = 4 \times 2 \times 4 \\ volume = 32 \: cubes\)
Therefore, She need 32 cubes to make the prism.
calculate the following 2 3/4 / 5/12 (3 2/11)
Answers
Step-by-step explanation:
11/4 X 5/12
Lcm of denominators= 12
11 3 33
X =
4 3 12
33/12 X 5/12 = 165/12
Hope it's correct
Please mark as brainliest
v2 – v – 20 = 0 solve the equation by factoring
Answers
\(v^2-v-20=0\\v^2+4v-5v-20=0\\v(v+4)-5(v+4)=0\\(v-5)(v+4)=0\\v=5 \vee v=-4\)
if θ=11π/6,then
sin(θ)=
cos(θ)= Give exact values. No decimals allowed
Example: Enter sqrt(2)/2 for√2/2
With functions like sqrt, be sure to use function notation (parentheses). sqrt(2)/2 will work, but sqrt2/2 will not.
Answers
For θ = 11π/6, the exact value of sin(θ) is -1/2, and the exact value of cos(θ) is -√3/2.
To find the exact values of sin(θ) and cos(θ) when θ = 11π/6, we can use the unit circle and the reference angle of π/6 (30 degrees).
First, let's determine the position of the angle θ on the unit circle. Since 11π/6 is more than 2π, we need to find the equivalent angle within one full revolution.
11π/6 = (2π + π/6)
So, θ is equivalent to π/6 in one full revolution.
Now, looking at the reference angle π/6, we can determine the values:
sin(π/6) = 1/2
cos(π/6) = √3/2
Since θ = 11π/6 is in the fourth quadrant, the signs of sin(θ) and cos(θ) will be negative.
Therefore, the exact values are:
sin(θ) = -1/2
cos(θ) = -√3/2
Learn more about exact value
brainly.com/question/31743339
#SPJ11
23 + 10 ÷ 2 − (− 14 ÷ 2)
Please explain it.
Answers
Step-by-step explanation:
23 + 10 - 2 + 14 + 2
33 - 2 + 16
31 + 16 = 47
seven less than a number squared (im working on translating)
Answers
A letter or any other symbol may be used to represent an arbitrary number. For example, let's use the letter M. Since M equals "a number", then, "a squared number" may be represented as:
\(M^2\)Seven less than a number squared, is the number squared minus 7, so:
\(M^2-7\)is a correct representation of "seven less than a number squared".
Jeremy uses 2 feet 3 inches of board for each birdhouse he builds. How many inches of board does he need to make 6 birdhouses?
Answers
Answer:
134inches
Step-by-step explanation:
Convert 2feet to inches
1foot= 12 inches
2feet= 12x2inches
=24inches
24inches is to 1 birdhouse
24inches x 6 equals six birdhouses
134inches
Answer:
He will need 162 inches
Step-by-step explanation:
6×2ft is 12 feet. Convert ft into inches for every 1 foot you have 12 inches. A total of 144in. Now multiply 6×3in which equals 18in. Add 144+18=162
How do you find the general solution of an exact differential equation?
Answers
The general solution of an exact differential equation can also be found by solving the associated homogenous equation and adding the particular solution obtained from the original equation.
1. Identify the exact differential equation.
2. Find the integrating factor by multiplying the equation by an expression of the form e^(f(x)).
3. Multiply the integrating factor with the equation to make it exact.
4. Integrate both sides of the equation to obtain the general solution.
5. Check the solution by differentiating it to confirm that it satisfies the original equation.
6. Add the particular solution obtained from the original equation to the homogenous solution to get the general solution.
The general solution of an exact differential equation can be found by using an integrating factor. An integrating factor is a function of the independent variable which can be multiplied with the equation in order to make it exact. Once the equation has been made exact, it can be solved using the standard integration techniques. In addition, the general solution can be found by solving the associated homogenous equation and then adding the particular solution obtained from the original equation.
Learn more about equation here
https://brainly.com/question/29657992
#SPJ4
What is the value of x? *
150
Х
4x
15
Answers
Answer:
Hope it helps you.......
If the measure of ZB is 40°, what measures can ZA and
C be? Select the three correct answers.
20° and 30°
30° and 110°
55° and 85°
60° and 90°
70° and 70°
Answers
Answer: 30° and 110°
55° and 85°
70° and 70°
The sum of angles in a triangle is 180°. Therefore, since an angle has been given as 40°, the remaining angles will be:
= 180° - 40°
= 140°
Therefore,
30° + 110° = 140°
55° + 85° = 140°
70° + 70° = 140°
A line passes through (4,5) and (8,9)
Answers
Step-by-step explanation:
Hey there!
The equation of a st.line passing through points (4,5) and (8,9) is;
\((y - y1) = \frac{y2 - y1}{x2 - x1} (x - x1)\)
Put all values.
\((y - 5) = \frac{9 - 5}{8 - 4} (x - 4)\)
Simplify them to get equation.
\((y - 5) = \frac{4}{4} (x - 4)\)
\((y - 5) = 1(x - 4)\)
\((y - 5) = x - 4\)
\(x - y + 1 = 0\)
Therefore the required equation is: x - y + 1=0.
Hope it helps...
The nullspace of nonzero 4 x 4 matrix cannot contain a set of four linearly independent vectors.
A. True
B. False
Answers
The given statement, "The nullspace of a nonzero 4 x 4 matrix cannot contain a set of four linearly independent vectors" is False.
Explanation: Null space is a linear algebra term used to refer to the set of all vectors that are mapped to the null vector. The solution of Ax=0 is also referred to as the null space or kernel of A. Since the matrix is of size 4x4 and non-zero, it must have at least one non-zero eigenvalue. Any non-zero vector multiplied by this non-zero eigenvalue will result in a non-zero vector, even if it is in the nullspace of the matrix. Because of this, a non-zero 4 x 4 matrix's nullspace can have four or fewer linearly independent vectors.
Hence, the statement "The nullspace of a nonzero 4 x 4 matrix cannot contain a set of four linearly independent vectors" is false.
Learn more about nullspace visit:
brainly.com/question/31745967
#SPJ11
Calculate the difference in the proportion of males and the proportion of females that smoke. Give your answer to 2 decimal places
Answers
The difference in the proportion of males and the proportion of females that smoke is 0.08
Missing informationIn a sample of 61 males, 15 smoke, while in a sample of 48 females, 8 smoke.
How to determine the proportion difference?The given parameters are:
Male Female
Sample 61 48
Smokers 15 8
The proportion is calculated using:
p = Smoker/Sample
So, we have:
Male = 15/61 = 0.25
Female = 8/48 = 0.17
The difference is then calculated as:
Difference = 0.25 - 0.17
Evaluate
Difference = 0.08
Hence, the difference in the proportion of males and the proportion of females that smoke is 0.08
Read more about proportion at:
https://brainly.com/question/16828793
#SPJ12
73%
There are only blue cubes, red cubes and yellow cubes in a box.
The table shows the probability of taking at random a blue cube from the box.
Colour
blue
red
yellow
Probability
0.4
The number of red cubes in the box is the same as the number
of yellow cubes in the box.
a) Complete the table.
There are 30 blue cubes in the box.
b) What is the total number of cubes in the box?
Answers
Answer:
im still middle school i love to help people who r in higher classes so ill try
Step-by-step explanation:
maybe divide 73% by 0.4
If the zeros of f(x) are x=-1 and x=2, then the zeros of f(x/2) are
A. -1, 2
B. -1/2, 5/2
C. -3/2, 3/2
D. -1/2, 1
E. -2/4
Answers
Answer:
E (-2, 4).
Step-by-step explanation:
(x/2 + 1)(x/2 - 2) = 0
x/2 = -1, x/2 = 2
x = -2, 4.
The roots will be 2 times the roots of f(x).
Answer:
\(\Large \boxed{\mathrm{E. \ -2, \ 4}}\)
Step-by-step explanation:
The zeros of f(x/2) will double the zeros of f(x).
x = -1 × 2 = -2
x = 2 × 2 = 4
Example Problem:
Akari gets paid a flat rate of $20.00 to mow his neighbor's lawn plus an
additional $10 per hour to rake the leaves. He earned a total of $90.
Write an equation that represents the total money he earned and solve
for the number of hours he spent raking the leaves.
Answers
Answer:
7 hours
Step-by-step explanation:
20.00 + 10x = 90
10x = 70
x = 7
Answer:
20 + 10x = 90 (where x is the number of hours spent raking leaves)
7 hours
Step-by-step explanation:
let x = number of hours spent raking leaves
Given:
Flat rate of $20.00 to mow lawn$10 per hour to rake leavestotal earned = $9020 + 10x = 90
To solve: 20 + 10x = 90
Subtract 20 from both sides:
⇒ 10x = 70
Divide both sides by 10:
⇒ x = 7
Therefore he spent 7 hours raking the leaves.
Students in Mr.Chow's class each contributed money for a gift to a visiting speaker. Each student contributed the same amount, and each gave Mr.Chow the exact same four coins: If $16.81 was collected in all, how many pennies were collected?
Answers
Answer:
So in total, 1681 pennies were collected.
Step-by-step explanation:
divide the total amount collected, $16.81, by the value of a penny, which is $0.01.
16.81 / 0.01 = 1681 pennies.
So in total, 1681 pennies were collected.
Help I’m stuck on this question:
Jordan and Matt are camping. They decide to hike 4.6 miles away from camp and then turn north
mike 1.8 more miles. Which of the following is a possible distance of how far they are from camp?
A
1.5 miles
B
2.8 miles
I
C
5.3 miles
D
6.4 mile
Answers
Answer:
C
Step-by-step explanation:
Let d = the distance from camp
d < 1.8 + 2.6 = 6.4
d > 2.8
so 2.8 < d < 6.4, therefore d could be 5.3
Last week, the price of apples at a grocery store was $1.60 per pound. This week, apples at the same grocery store are on sale at a 10% discount. What us the total price of 4 1/2 pounds of apples this week at the grocery store?
Answers
Q4. Find the particular solution for the following non-homogeneous system of first- order linear differential equation. Y = 54 -5x² +6x+25 5 Y(0)= 1 2 -x²+2x+4
Answers
The particular solution for the given non-homogeneous system of first-order linear differential equations is:
\(Y = 54x - (5/3)x^3 + 3x^2 + 25x + 16\)
To find the particular solution for the non-homogeneous system of first-order linear differential equations, we need to substitute the given values into the system and solve for the unknown coefficients.
The given system is:
\(Y' = 54 - 5x^2 + 6x + 25\\Y(0) = 12 - x^2 + 2x + 4\)
Differentiating the second equation, we have:
\(Y'(0) = -2x + 2\)
Now, let's substitute these values into the first equation:
\(Y' = 54 - 5x^2 + 6x + 25\)
Since there are no derivatives of Y in the equation, we can integrate both sides with respect to x to find the particular solution:
\(\int Y' dx = \int (54 - 5x^2 + 6x + 25) dx\)
Integrating each term separately, we get:
\(Y = 54x - (5/3)x^3 + 3x^2 + 25x + C\)
Now, using the initial condition\(Y(0) = 12 - x^2 + 2x + 4\), we can substitute x = 0 and \(Y = 12 - x^2 + 2x + 4\) into the equation to solve for the constant C:
\(12 - 0 + 2(0) + 4 = 54(0) - (5/3)(0^3) + 3(0^2) + 25(0) + C\)
16 = C
C= 16
Therefore, the particular solution for the given non-homogeneous system of first-order linear differential equations is:
\(Y = 54x - (5/3)x^3 + 3x^2 + 25x + 16\)
Learn more about integration at:
https://brainly.com/question/30094386
#SPJ4
What is a concave hexagon with 2 pairs of congruent sides?
Answers
A concave hexagon with 2 pairs of congruent sides is a shape that has six sides and two pairs of sides that are of equal length, but the shape curves inward at one or more angles, creating a concave indentation.
A hexagon is a six-sided polygon, and when two pairs of its sides are congruent,
it means that four of its sides have the same length, if the shape curves inward at one or more angles,
it creates a concave hexagon, which means that the indentation on the shape is facing inward, rather than outward, a concave hexagon with 2 pairs of congruent sides is a six-sided polygon with four sides of equal length, but with a curvature that creates an inward indentation.
Hence, a concave hexagon with 2 pairs of congruent sides is a six-sided figure with an indentation and two sets of sides with equal lengths.
learn more about hexagon click here:
https://brainly.com/question/15424654
#SPJ11
If x > y² > z⁴, which of the following statements could be true?
I. x > y > z
II. z > y > x
III. x > z > y A. I only
B. I and II only
C. 1 and III only
D. II and III only
E. I, II and III
Answers
The only possible statement is option I, x > y > z. The correct answer is A. I only. Since z⁴ is always less than or equal to y², which is always less than or equal to x, we know that x > y² > z⁴ > 0.
Taking the square root of y² > z⁴, we get y > z² > 0.
Therefore, we know that y is greater than z², and since x is greater than y², we can also say that x is greater than z⁴.
With this information, we can eliminate option II as it suggests that z is greater than x, which we know is not true.
We can also eliminate option III as it suggests that z is greater than y, which we know is not true either.
Therefore, the only possible statement is option I, x > y > z.
Hence, the correct answer is A. I only.
Learn more about less than here:
https://brainly.com/question/17000775
#SPJ11
What is the mean in 74,75,80,76,75,81,78?
Answers
Answer:
77
Step-by-step explanation:
Add the numbers together, then divide them to how much numbers are there.
74 + 75 + 80 + 76 + 75 + 81 + 78 = 539
Since there are 7 numbers, you divide 539 by 7.
539/7 = 77
Answer:
77
Step-by-step explanation:
cause you add the numbers up and then you divide how may numers there are
a square pyramid has a slant height of 3 in. and a surface area of 40 in.2. what is the length of an edge of the base, in inches?
Answers
Answer:
4 inches
Step-by-step explanation:
slant height = 3, surface area = 40.
let L = length of one side (since it's a square, it will be L for each edge of the base).
surface area = base + 4 sides of triangles
= L² X 4 (0.5 X base X height)
= L² X 4(0.5 X L X 3)
= L²+ 6L.
But surface area = 40.
So L² + 6L = 40.
Subtract 40 from both sides:
L² + 6L - 40 = 0.
Use the quadratic formula:
L = ((-b ± √(b² - 4ac)) ÷ 2a)
where a is the value of the first coefficient, b is value of the second and c is value of the constant.
L = ((-6 ± √(6² - 4(1)(-40))) ÷ 2(1))
= ((-6 ± √(36 + 160)) ÷ 2)
= (-6 ± 14) ÷ 2
= (-6 + 14) ÷ 2 or (-6 - 14) ÷ 2
= 4 or -10.
So L = 4 or -10. But L is a length, so it must be positive. So L = 4.
Length = 4 inches
You can spend at most 25$ asked boxes of cereal cost 3$ a box. How many boxes of cereal can you buy.
Answers
The table shows three functions and their output values for different values of x. Which equation represents h(x)? h(x) = (f(x))(g(x)) h(x) = f(x) – g(x) h(x) = f(x) + g(x)
Answers
The equation that represents h(x) is h(x) = (f(x))(g(x)).
To determine which equation represents h(x), we need to analyze the given table and understand the relationship between the functions f(x), g(x), and h(x).
Since h(x) represents the output values obtained by multiplying f(x) and g(x), we should look for values in the table where h(x) is the product of the corresponding values of f(x) and g(x).
Let's examine the table and compare the values:
x | f(x) | g(x) | h(x)
1 | 3 | 4 | 12
2 | 5 | 2 | 10
3 | 2 | 6 | 12
From the table, we can see that the values in the h(x) column are the products of the corresponding values in the f(x) and g(x) columns. Therefore, the equation that represents h(x) is h(x) = (f(x))(g(x)).
For more such questions on equation
https://brainly.com/question/17145398
#SPJ8
Answer:
It's B.
Step-by-step explanation:
Edge 2020.
What value of x is in the solution set of 2(3х – 1) > 4х – 6?
—10
-5
—3
-1
Help me
Answers
Answer:
-1
Step-by-step explanation:
2(3х – 1) > 4х – 6
Distribute
6x -2 > 4x-6
Subtract 4x from each side
6x-2-4x > 4x-6-4x
2x-2 > -6
Add 2 to each side
2x-2+2> -6+2
2x> -4
Divide by 2
2x/2 > -4/2
x > -2
The number is greater than -2
The only number that is greater than -2 is -1
What is 4^2x+5 × 4^3x = 4^2
Answers
The solution of the exponent equation \(\rm 4^{(2x+5)} \times 4 ^{(3x)} = 4^2\) will be negative 0.6.
What is the solution to the equation?In other words, the collection of all feasible values for the parameters that satisfy the specified mathematical equation is the convenient storage of the bunch of equations.
The equation is given below.
\(\rm 4^{(2x+5)} \times 4 ^{(3x)} = 4^2\)
Simplify the equation, then we have
\(\rm 4^{(2x+5)} \times 4 ^{(3x)} = 4^2\\\\\rm 4^{(2x+5 + 3x)}= 4^2\)
The base on both sides is the same. Then compare the exponent, then the equation is written as,
2x + 5 + 3x = 2
5x = 2 - 5
5x = - 3
x = - 0.6
The solution of the exponent equation \(\rm 4^{(2x+5)} \times 4 ^{(3x)} = 4^2\) will be negative 0.6.
More about the solution of the equation link is given below.
https://brainly.com/question/22613204
#SPJ1