Based on the above, the width of the field is 62 meters.
What is the width?Based on the question, Let's say that the width of the field is denoted with 'w'.
Note that the formula for the perimeter (P) of a rectangle is:
P = 2(l + w)
where"
l = length
w = width.
Fixing the values into the equation, it will be:
300 = 2(88 + w)
So, Divide both sides by 2:
150 = 88 + w
Subtract 88 from both sides:
w = 150 - 88
w = 62
Learn more about width from
https://brainly.com/question/25292087
#SPJ1
Se text below
The perimeter of a rectangular field is 300 m. If the length of the field is 88 , what is its width?
Write as ratio then find an equal ratio there are 12 inches in a foot find the number of inches in 6 feet
Answer:1. 12:6 equivalant ratio:24:12
Step-by-step explanation:
12:6 means twelve to 6 and to find a equivalant ratio means to find a number that 12 and 6 can equal so it would be 24:12 which i multiplied by 2.
John put $3, 000 in his savings at 2% annually for 3 years. What did he earn in simple interest?
Answer:
End Balance: $5,160.00
Total Interest: $2,160.00
Step-by-step explanation:
Total Interest =$3000 × 2% × 3 × 12
=$2,160.00
End Balance =$3000 + $2,160.00
=$5,160.00
Answer:
can we get the options
Step-by-step explanation:
How many degrees in 2/3 of a circle
Answer:
240 degrees
Step-by-step explanation:
√343k please simplify this
Answer:
the answer of√343k is 18k
A line passes through the point (-4 , -8) and has a slope of -3/2.
Write an equation in slope - intercept form for this line.
Answer:
\(y = \frac{-3}{2}x - 14\)
Step-by-step explanation:
(-4 , -8) ; slope = (-3/2)
Equation of the line: y - y₁ = m( x- x₁)
\(y - [-8] = \frac{-3}{2}(x - [-4])\\\\y + 8 = \frac{-3}{2}(x +4)\\\\y + 8 = \frac{-3}{2}x +(\frac{-3}{2})*4\\\\y + 8 = \frac{-3}{2}x - 3 * 2\\\\ y = \frac{-3}{2}x -6 -8\\\\y = \frac{-3}{2}x - 14\)
Help please (50 point) sorry hhh
Answer:
7.5
Step-by-step explanation:
The actual fraction is 15/2, which is equivlent to 7.5
Im pretty sure its infinite solutions
Suppose the manufacturer makes a profit of
$10 on shirts and $18 on pajamas. How
would it decide how many of each to make?
Answer:
it would be around 3 i think
Step-by-step explanation:
Evaluate the given expression for x=5
x² + 3x - 2
(5)² + 3 × 5- 2
25 + 15 - 2
40 - 2
38...
Let f be a differentiable function, defined for all realnumbers x, with the following properties. Find f(x). Show yourwork.
i) f'(x)=ax2+bx
ii) f'(1)=6 and f"(1)=18
iii. =18
The differentiable function f with the given properties is \(f(x)=4x^3-3x^2+10\).
What is a differentiable function:
A function with a differentiable value of one real variable is one whose domain contains a derivative. In other words, each interior point in the domain of a differentiable function's graph has a non-vertical tangent line.
The given properties for the differentiable function f are:
\((i) f'(x)=ax^2+bx\\ (ii) f'(1)=6, f''(1)=18\\ (iii) \int\limits^2_1 {f(x)} \, dx =18\)
From (i) we can get \(f''(x)=2ax+b\)
By substituting (ii) in (i) we will get:
a+b=6 and 2a+b=18. By solving these two equations we will get the following:
a=12, b=-6.
We will integrate (i) on both sides, we will get:
\(f(x)=\frac{ax^3}{3} +\frac{bx^2}{2} +c\) where c is the integration constant.
In this equation, we will substitute a,b.
\(f(x)=\frac{12x^3}{3} +\frac{-6x^2}{2} +c\\ \\ f(x)= 4x^3-3x^2+c\)...................(iv)
Now we will substitute (iv) in (iii), and we will get:
\(\int\limits^2_1 {( 4x^3-3x^2+c)} \, dx =18\\ \\ (2^4-2^3+2c)-(1^4-1^3+c)=18\\ \\c=10\)
Therefore \(f(x)=4x^3-3x^2+10\).
Complete question:
Let f be a differentiable function, defined for all real numbers x, with the following properties. Find f(x). Show your work.
\((i) f'(x)=ax^2+bx\\ (ii) f'(1)=6, f''(1)=18\\ (iii) \int\limits^2_1 {f(x)} \, dx =18\)
To learn more about differentiable functions, refer to the link below:
https://brainly.com/question/15406243
#SPJ4
Consider the function f,g:\(\mathbb{R} \to\mathbb{R}\) defined by
\( \rm f(x) = {x}^{2} + \frac{5}{12} \: and \: g(x) = \begin{cases}2 \bigg( \rm 1 - \dfrac{4 |x| }{3} \bigg), \: \: \: \: |x| \leq \dfrac{3}{4}, \\ \\ 0, \: \: \: \: \: \rm \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: |x| > \dfrac{3}{4} .\end{cases} \)
If \(\alpha\) is the area of the region
\( \rm \bigg \{(x,y) \in \mathbb{R} \times \mathbb R : |x| \leq \dfrac{3}{4} ,0 \leq y \leq min \{f(x),g(x) \} \bigg \}\)
then the value of 9\(\alpha\)
Suppose \(x>0\); then the curves meet when
\(x^2 + \dfrac5{12} = 2 - \dfrac83 x \implies x^2 + \dfrac83 x - \dfrac{19}{12} = \left(x + \dfrac{19}6\right) \left(x - \dfrac12\right) = 0 \\\\ \implies x = \dfrac12\)
By symmetry, they intersect at \(x=\pm\frac12\).
We also see that \(\min\left\{f(x):|x|\le\frac34\right\} = \frac5{12}\) and \(\max\left\{g(x):|x|\le\frac34\right\} = 2\) at \(x=0\). \(f\) and \(g\) are continuous, so it follows that
\(\min\left\{f(x),g(x) :|x|\le\frac34\right\} = \begin{cases} f(x) & \text{if } |x| < \frac12 \\ g(x) & \text{if } |x| > \frac12 \\ f\left(\pm\frac12\right) = g\left(\pm\frac12\right) = \frac23 & \text{if } x = \pm\frac12 \end{cases}\)
Compute the area \(\alpha\). Taking advantage of symmetry again, we have
\(\alpha = \displaystyle 2 \int_0^{1/2} \int_0^{f(x)} dy\,dx + 2 \int_{1/2}^{3/4} \int_0^{g(x)} dy \, dx \\\\ ~~~~ = 2 \int_0^{1/2} f(x) \, dx + 2 \int_{1/2}^{3/4} g(x) \, dx \\\\ ~~~~ = \left. 2 \left(\frac{x^3}3 + \frac{5x}{12}\right) \right\vert_0^{1/2} + \left. 2 \left(2x - \frac{8x^2}6\right) \right\vert_{1/2}^{3/4} \\\\ ~~~~ = \left(\frac12 - 0\right) + \left(\frac32 - \frac43\right) = \frac23\)
and it follows that \(9\alpha = \boxed{6}\).
For the function y = -x2 – 2, how can you find the value of y when x = 3?
Answer:
y=-3x2-2
y=-8
I think it.
Answer: D- Square 3, multiply the result by -1, and then subtract 2. b r a I n l I e s t plzz
If log 5 = k, find log 250 in terms of k.
log 250 in terms of k is equal to 3k + log 2.
To log 250 in terms of k, we can use logarithmic properties to simplify the expression.
First, we can express 250 as a power of 5 since we have log 5 = k.
250 = 5 × 5 × 5 × 2
Now, we can rewrite 250 as (5³) × 2.
Using logarithmic properties, we can break down the expression log 250:
log 250 = log ((5³) × 2)
Next, we can apply the properties of logarithms, specifically the product rule, which states that log (a × b) = log a + log b.
Applying the product rule to our expression:
log 250 = log (5³) + log 2
Since 5³ can be expressed as 125, we can substitute this value into the expression:
log 250 = log 125 + log 2
Now, we can use another logarithmic property, the power rule, which states that log (\(a^b\)) = b × log a.
Applying the power rule to log 125:
log 125 = 3 × log 5
We know that log 5 is equal to k, so we can substitute k into the expression:
log 125 = 3 × k
Finally, we substitute this result back into the expression for log 250:
log 250 = 3 × k + log 2
For similar questions on terms
https://brainly.com/question/1387247
#SPJ8
Evaluate the expression when c = 37 and d = 6.
c-4d
HELPPP ME PRECAL CLASS
the answer is g(x)= (x+6).
What is function?Function, in mathematics, an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable.
here, we have,
from the given , we get,
f(x)=x^4
and, f(g(x))= (x+6)^4
hence, the answer is g(x)= (x+6).
To learn more on function click:
brainly.com/question/21145944
#SPJ1
A time-and-motion study measures the time required for an assembly-line worker to perform a repetitive task. The data show that the time required to bring a part from a bin to its position on an automobile chassis varies from car to car according to a Normal distribution with mean seconds and standard deviation seconds. The time required to attach the part to the chassis follows a Normal distribution with mean seconds and standard deviation seconds. The study finds that the times required for the two steps are independent. A part that takes a long time to position, for example, does not take more or less time to attach than other parts.
(a) Find the mean and standard deviation of the time required for the entire operation of positioning and attaching the part.
(b) Management’s goal is for the entire process to take less than seconds. Find the probability that this goal will be met. Show your work
The mean time of the entire operation is given by 31 seconds and standard deviation is approximately 4.47 seconds
mean time (μ₁) = 11 seconds
mean chassis time (μ₂) = 20 seconds
a)Total time taken = μ₁ + μ₂ = 11 +20 = 31 seconds
Now we will find the standard deviation:
standard deviation = √ (2²+4²) = √ 20 ≈ 4.47 seconds
b) The probability that the entire process will take less time:
Total time taken = 31 seconds
Less time taken will be 2 seconds for the entire time
P(T<30) = 30 - 31 / 4.47 = - 0.22
Now from the normal distribution table we get the p-value as :
p-value = 0.4129
Hence the required probability is 41.29 % .
The population or sample standard deviation and the standard error of a statistic are not the same thing, but they are related. The standard error of the sample mean is the standard deviation of the set of means computed by drawing an infinite number of repeated samples from the population and computing a mean for each sample.
The mean's standard error is estimated by dividing the sample standard deviation by the square root of the sample size, which matches the population standard deviation divided by the square root of the sample size.
To learn more about standard deviation visit:
https://brainly.com/question/23907081
#SPJ4
Malcolm has $50 gift card to a local car wash and order is the ultimate car wash each visit is $8.95
The amount cheaper is the car washes Malcolm orders than the car washes Martha's order is $13.
The correct answer choice is option B.
How much cheaper is the car washes Malcolm orders than the car washes Martha's order?Malcolm's gift card = $50.
Cost Malcolm's car wash per visit = $7
Martha's gift card = $180
Cost Martha's car wash per visit = Difference between gift card balance of first and second visit
= $180 - $160
= $20
How cheap is the car washes Malcolm orders than the car washes Martha's order = $20 - $7
= $13
Therefore, Malcolm's car wash is cheaper than Martha's car wash by $13
The complete question is attached in the diagram.
Read more on graphs:
https://brainly.com/question/19040584
#SPJ1
adding and subtract integrals
Adding and subtracting integrals is a fundamental technique in calculus that allows you to combine multiple integrals into a single expression. The process involves using the properties of integrals and the rules of algebra to simplify the expression.
How to add integrals?
To add two integrals, you simply add the integrands and integrate over the same limits of integration. For example, if you have two integrals, ∫f(x) dx and ∫g(x) dx
The sum of the two integrals would be
∫[f(x) + g(x)] dx
How to subtract integrals?
To subtract two integrals, you subtract the integrands and integrate over the same limits of integration. For example, if you have two integrals ∫f(x) dx and ∫g(x) dx
The difference of the two integrals would be ∫[f(x) - g(x)] dx
It's important to note that when adding or subtracting integrals, you must ensure that the limits of integration are the same. If they are not the same, you must first adjust one or both integrals to have the same limits of integration.
Another important point to keep in mind is that the properties of integrals allow you to simplify expressions before integrating. For example, if you have an integral of the form:
∫f(x) dx + ∫g(x) dx
You can simplify it as ∫[f(x) + g(x)] dx
before integrating.
In conclusion, adding and subtracting integrals is a straightforward process that involves using the rules of algebra and the properties of integrals. By following these techniques, you can simplify complex expressions and solve integration problems more efficiently.
Learn more about integrals here,
https://brainly.com/question/22008756
#SPJ1
Correct question is "How to add and subtract integrals?"
Juan buys candy that costs $8 per pound. He will spend at least $48 on candy. What are the possible numbers of pounds he will buy?
Use p for the number of pounds Juan will buy.
Write your answer as an inequality solved for p.
In a case whereby Juan buys candy that costs $8 per pound and will spend at least $48 on candy the possible numbers of pounds he will buy written in inequality is is p>5 (at least 5 pounds).
How can these number be determined?Inequality in math refers to a statement that one quantity is either greater than, less than, or not equal to another quantity. Inequalities are often represented using symbols such as "<" (less than), ">" (greater than), or "≤" (less than or equal to) and "≥" (greater than or equal to). For example, the inequality "x > 3" states that the variable "x" is greater than the value of 3. The inequality "y ≤ 5" means that the variable "y" is less than or equal to 5.
From the question, p = number of pounds Juan will buy.
candy=costs $8 per pound
$20/$4 = 5 pounds
p>5
at least 5 pounds
Learn more about costs at:
https://brainly.com/question/25109150
#SPJ1
What are the situations in which you would use a binomial, geometric and Poisson distributions
When there are only two potential outcomes for each trial and the chance of success is constant across all trials, the binomial distribution is used to model the probability of a specific number of successes in a fixed number of independent trials.
What are the situations in which you would use binomial, geometric, and Poisson distributions?Binomial, geometric, and Poisson distributions are probability distributions that are used in different situations depending on the nature of the problem being analyzed.
The binomial distribution is used to model the probability of a certain number of successes in a fixed number of independent trials, where each trial has only two possible outcomes (success or failure) and the probability of success is constant for each trial. Some examples of situations where the binomial distribution is applicable include:
Flipping a coin a fixed number of times and counting the number of times it lands on heads.Conducting a fixed number of trials of a medical treatment and counting the number of patients who experience a certain outcome (e.g., recovery).The geometric distribution is used to model the probability of the number of trials needed to achieve the first success in a sequence of independent trials, where each trial has only two possible outcomes (success or failure) and the probability of success is constant for each trial. Some examples of situations where the geometric distribution is applicable include:
Counting the number of times you need to roll a die until you get a 6.Counting the number of times you need to flip a coin until it lands on heads for the first time.The Poisson distribution is used to model the probability of a certain number of events occurring in a fixed time interval, where the events occur randomly and independently of each other, and the average rate of occurrence is constant. Some examples of situations where the Poisson distribution is applicable include:
Counting the number of cars that pass through a certain intersection in a fixed time period.Counting the number of emails received in a fixed time period.Learn more about binomial, geometric, and Poisson distributions at: https://brainly.com/question/21134953
#SPJ1
Find the value of x. Then find the measure of each labeled angle.
(2x + 24)
(In picture)
Answer:
X= 52
2X+24 =128
Step-by-step explanation:
128+52= 180
Based on the graph, how many distinct real number
solutions does the equation x³ + 6x² + 12x +8=0
have?
O no real number solutions
O one real number solution
O two real number solutions
O three real number solutions
Because the graph only intercepts the x-axis only once, the equation has only one solution. The correct option is the second one.
How many solutions the equation has?Here we want to see, based on a graph, how many solutions does the cubic equation:
x³ + 6x² + 12x +8 = 0
The graph of the function:
g(x) = x³ + 6x² + 12x +8
Can be seen below, the number of real solutions that the equation:
x³ + 6x² + 12x +8 = 0
has, will depend on how many times the graph intercepts the x-axis.
We can see that there is only one intercept, so there is one real solution.
Learn more about cubic equations:
https://brainly.com/question/20896994
#SPJ1
When three coins are tossed, the probability of getting three tails is 1/8. Suppose
you get $6 if you get three tails and lose $2 otherwise. Calculate the expected
value.
The predicted relationship between X is $0.375. Let X be the random variable representing the winnings from this game. We know that: If three tails are obtained, the winnings are $6.
If three tails are not obtained, the winnings are -$2.
The probability of getting three tails is 1/8. Therefore, the probability of not getting three tails is:
P(not getting three tails) = 1 - P(getting three tails) = 1 - 1/8 = 7/8
Now we can calculate the expected value of X using the formula:
E(X) = (winnings from getting three tails) * P(getting three tails) + (winnings from not getting three tails) * P(not getting three tails)
E(X) = ($6) * (1/8) + (-$2) * (7/8)
E(X) = $0.375
Therefore, the expected value of X is $0.375.
To know more about variable click here
brainly.com/question/2466865
#SPJ9
Help help help help help help
Jayla plays on the Strikers soccer team. The team worked on 5 new drills at yesterday's
practice, spending the same amount of time on each drill. Jayla was 15 minutes late and only
practiced for 40 minutes.
) Which equation can you use to find how long, x, the team spent on each drill?
Answer:
Let's use "d" to represent the time the team spent on each drill.
Since the team spent the same amount of time on each drill, and they worked on 5 drills, the total time spent at practice before Jayla arrived can be represented as:
5d
We know that Jayla was 15 minutes late, so when she arrived, the team had already been practicing for 15 minutes. Therefore, the total time she spent practicing is:
40 minutes = 5d - 15
Now we can solve for "d":
5d - 15 = 40
5d = 55
d = 11
So the team spent 11 minutes on each drill.
The equation we used is:
5d - 15 = 40
Theo wants to use a cookie recipe
that makes 36 cookies, but he wants
to increase the number of cookies to
54. If the recipe calls for 2 cups
of sugar, how much sugar should
he use?
Answer:
3 cups of sugar
Step-by-step explanation:
you increase it as per ratio,in this case ratio is 1.5
Hurry, please!!!
Solve this system of equations:
{y=2xx=-y+6
x =
[ Select ]
y =
[ Select ]
Answer:
(2,4)
Step-by-step explanation:
y=2x, x=-y+6
x=-y+6 ----> y = -x + 6
Now we have:
y = -x + 6
y = 2x
Now, we can set these equations to be equal to each other:
2x = -x + 6
3x = 6
x = 2
To find y, we can just substitue x into one of the originial equations:
y = 2x
y = 2(2)
y=4
Therefore, the answer to this system is (2,4).
Hope this helped!
Whole numbers from 1 to 10 are placed in a bag. Olga picks two cards at once at random from the bag. What is the
probability that both cards are even?
In a fraction*
Answer:
5/1 or 1/2
Step-by-step explanation:
got it right on the test. sorry I'm a little late. Have a great day/night
PLEASE HELP ( WILL GIVE BRAINLIEST)
The amount of money Laurie would pay to have the pond cleaned is equal to $3,161.85.
How to calculate the volume of a hemisphere?In Mathematics and Geometry, the volume of a hemisphere can be calculated by using the following mathematical equation (formula):
Volume of a hemisphere = 2/3 × πr³
Where:
r represents the radius.
Note: Radius = diameter/2 = 13/2 = 6.5 feet.
By substituting the given parameters into the formula for the volume of a hemisphere, we have the following;
Volume of a hemisphere = 2/3 × 3.14 × (6.5)³
Volume of a hemisphere = 574.881 ft³
Cost = 5.50 × 574.881 ft³
Cost = $3,161.85
Read more on volume of a sphere here: brainly.com/question/20394302
#SPJ1
the length of the arc intercepted by a central angle of 3 radians in a circle of radius 76 is . the length of the arc intercepted by a central angle of in a circle of radius 15 is
The length of the arc intercepted by a central angle of 3 radians in a circle of radius 76 is 228 and the length of the arc intercepted by a central angle of 2 radians in a circle of radius 15 is 30.
Explain:
The following formula determines the length of an arc that a circle's central angle intercepts:
Arc length is equal to (central angle / 2) 2r r r
where r denotes the circle's radius. We can determine the length of the two arcs using the following formula:
For the first circle, with a radius of 76 and a center angle of 3 radians:
Arc length = 3 x 76 = 228
Therefore, in a circle with a radius of 76, the length of the arc that is intercepted by a central angle of 3 radians is 228.
For the second circle, whose radius is 15, and whose center angle is 2 radians:
Arc length = 2 x 15 = 30
As a result, the length of the arc in a circle with a radius of 15 is 30 when it is intercepted by a central angle of 2 radians.
To know more about Central Angle visit:
https://brainly.com/question/16831377
#SPJ1
Select the correct answer from each drop-down menu. For the figure shown, point D is a midpoint of , and point J is a midpoint of . A figure shows a double-sided arrow. The points on the left and right arrows are A, B, L, and F, G, H. The points on the upper and lower lines are C, D, E, and K, J, I. Since reflecting the points C, B, A, L, and K across line maps these points onto E, F, G, H, and I, respectively, the opposite angles are congruent. Since reflecting the points L, K, J, I, and H across line maps these points onto B, C, D, E, and F, respectively, the opposite sides and , , and and are congruent.
The first blank is BAL and FGH
The second blank is AL
The third blank is CE and KI
The fourth and final blank is GH
According to the statement
we have given a diagram in which there are some angles and from these angles we have to find that the
Which opposite angles are congruent
The opposite side of AB
With GF angle which angle are congruent
Two angles are which are opposite to each other.
So, from a diagram it is clear that The angles which are congruent with each other is BAL and FGH. Because there positions are perfectly opposite and same to each other.
And The opposite side of AB is AL because it is present at opposite position to each other.
And with GF angle GH are congruent angles.
So, The first blank is BAL and FGH
The second blank is AL
The third blank is CE and KI
The fourth and final blank is GH
Learn more about ANGLES here https://brainly.com/question/1592456
DISCLAIMER: This question is incomplete.Please see the complete question below.
QUESTION:
Select the correct answer from each drop-down menu.
For the figure shown, point D is a midpoint of , and point J is a midpoint in figure.
Since reflecting the points C, B, A, L, and K across line maps these points onto E, F, G, H, and I, respectively, the opposite angles
are congruent. Since reflecting the points L, K, J, I, and H across line maps these points onto B, C, D, E, and F, respectively, the opposite sides are congruent.
#SPJ1