A farmer has a rectangular field with length 1 mile and width 0.5 miles. How much fencing would it take to enclose his field?
Answer:
3 mi of fencing would be required to enclose this field.
Step-by-step explanation:
Here we are finding the perimeter of a field with given length and width. We apply the perimeter formula P = 2L + 2W. Substituting the given dimensions, we get:
P = 2(1 mi) + 2(0.5 mi), or
P = 2 mi + 1 mi = 3 mi
3 mi of fencing would be required to enclose this field.
Answer:
15840 feet of fencing = Perimeter = 15840ft
However, if fencing is 6ft or 10ft we need to divide by the length of each fence for panels.
See bold.
Step-by-step explanation:
6ft fencing = 5280/6 = 880 fences one length
880 x 2 = 1760 6ft fences 2 sides
0.5 x 1760 = 880
1760+ 880 = 2640 fences each 6ft
Total feet of fence = 2640 x 6 =15840 feet of fencing
Given that f(x) = x2 – 3x – 28 and g(x) = x - 7, find
(f - g)(x) and express the result in standard form.
Answer:
[tex](f-g)(x)=x^2-4x-21[/tex]
Step-by-step explanation:
We are given the two functions:
[tex]f(x)=x^2-3x-28\text{ and } g(x)=x-7[/tex]
And we want to find:
[tex](f-g)(x)[/tex]
This is equivalent to:
[tex]=f(x)-g(x)[/tex]
Substitute:
[tex]=(x^2-3x-28)-(x-7)[/tex]
Distribute:
[tex]=x^2-3x-28-x+7[/tex]
Rearrange:
[tex]=(x^2)+(-3x-x)+(-28+7)[/tex]
Hence:
[tex](f-g)(x)=x^2-4x-21[/tex]
A married couple filing jointly with a taxable income of $240,000 and a $7000 tax credit. The tax owed is?
Answer:
247000 ?
Step-by-step explanation:
If I understand this right then that should be the answer. I added 240000 and 7000
im in need of help for this problem (listing BRAINLIST and giving points) :)
I hope this is help full to you
I need help with #3. Please help. I have to show all work so please explain
Answer:
a = 2
Step-by-step explanation:
Use Pythagorean Theorem:
[tex]a^2+b^2=c^2\\a^2+2.1^2=2.9^2\\a^2+4.41=8.41\\a^2=4\\\sqrt{a^2}=\sqrt{4}\\a=2[/tex]
Therefore, a is 2 meters.
Select all the numbers that are solutions to the inequality 4,5,,6>5,5.2>5,5.01>5,0.5
Plzzz answer I’ll give you 10 points
iii; iv; and v
Step-by-step explanation:
I think
What is the result of subtracting the second equation from the first
I didn’t undertand the question... mayb ur attachment isnt added! Plz check!
Suppose you receive the following ANOVA output in this study. What is the correct conclusion about this data (in correct APA format)?
ANOVA
Time Sum of df Mean Square F Sig. Squares Between Groups 91.467 2 45.733 4.467 021 Within 276.400 27 10.237 Groups Total 367.867 29
a. The effect of training on how long it takes to solve the problem was significant, F(2, 27)- 4.47, p> 05.
b. The effect of training on how long it takes to solve the problem was significant, F(2, 27) -4,47, p .05.
c. The effect of training on how long it takes to solve the problem was not significant, F(27, 2)-4.47, p >.05.
d. The effect of training on how long it takes to solve the problem was significant, F(2, 29) - 4.47. p ,05.
Answer:
The answer is "Option b"
Step-by-step explanation:
Through this context, it is determined that the p-value is much less than 0.05, which is 0.021, so the rejection of the null hypothesis at 5%. There should be enough evidence to demonstrate that now the effect of the organization was substantial on how long it has taken to solve the issue. This result is statistically important.
The correct conclusion about this data is (b) The effect of training on how long it takes to solve the problem was significant, F(2, 27) = 4.47, p < 05.
From the table, we have the following values
F = 4.467
df between group = 2
df within group = 27
To reference the result, we make use of:
F(df between group, df within group) = F value
So, we have:
F(2, 27) = 4.47
The above result shows the F value approximated to two decimal points
Hence, the correct conclusion about this data is (b) The effect of training on how long it takes to solve the problem was significant, F(2, 27) = 4.47, p < 05.
Read more about APA styles at:
https://brainly.com/question/858964
Abby went to the store to buy ice cream for her party. Each box costs $3. She has a coupon for 20% off her total. If Abby buys 3 boxes, what will she pay after using the coupon?
Answer: 7.2$
hope it helps :)
step-by-step explanation:
Cost of each box = 3$
Cost of 3 boxes without 20% coupon = 9$
With 20% off Coupon = 9 by 100 multiplied by 20
(the zero's cut with each other leaving)
= 9 by 10 multiplied by 2
(9 multiplied by 2 = 18)
= 18 by 10
(18 divided by 10 = 1.8)
= the 20% of 9$ is equal to 1.8
when subtracted with the total cost leaves 7.2$
A sphere has a radius of 7.9 cm. Calculate the spheres volume. Use 3.14 and don't round.
Answer:
[tex]\displaystyle V = 2064.19 \ cm^3[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightGeometry
Volume of a Sphere Formula: [tex]\displaystyle V = \frac{4}{3} \pi r^3[/tex]
r is radiusStep-by-step explanation:
Step 1: Define
Identify variables
r = 7.9 cm
Step 2: Find Volume
Substitute in variables [Volume of a Sphere Formula]: [tex]\displaystyle V = \frac{4}{3}(3.14)(7.9 \ cm)^3[/tex]Evaluate exponents: [tex]\displaystyle V = \frac{4}{3}(3.14)(493.039 \ cm^3)[/tex]Multiply: [tex]\displaystyle V = 2064.19 \ cm^3[/tex]PLZZZZZZZZZZZZZZZ HELP ME WITH THIS!!!
Elena and Diego each wrote an equation to represent the following diagrams. Decide which equation you agree with. And, you must provide your explanations in order to receive the points. You need to solve the equation you agree with. Finally, you need to describe, in words, the process you would use to find the missing values. You can assume that angles that look like right angles are indeed right angles.
1. Elean: w+148=180 , Diego: x+90=148.
We know that angle BKC=148 degrees.
I agree with : ( Elena / Diego /Both of them) .
Because:
Describe, in words, the process you would use to find the missing values:
Answer:
I agree with Elena. See explanation below.
Step-by-step explanation:
A right angle is equal to 90 degrees.
A straight line is equal to 180 degrees.
Elena: w + 148 = 180
Elena's equation is correct because 148 degrees is represented by variable k. When adding variable k and w together, they form a straight line which is equiavlent to 180 degrees. By using this equation, Elena can solve for w after isolating the variable:
w + 148 = 180
w + 148 - 148 = 180 - 148
w = 32 degrees
Diego: x + 90 = 148
Diego is incorrect. He added 90 degrees because of the right angle, but he failed to realize that x is within 90 degrees, meaning he would either have to subtract x from 90 degrees or add both x and w to get to 90 degrees. He cannot solve for x or w by using this equation.
To solve for x, add both w and x to get 90 degrees. Since Elena showed us w equals 32 degrees, we can set up an equation:
w + x = 90
32 + x = 90
32 - 32 + x = 90 - 32
x = 58 degrees
What is a polygon?
a. A closed plane figure made up of line segments
b. An open plane figure made up of line segments
c. A closed plane figure made up of rays
d. An open plane figure made up of rays
Answer:
A. A closed plane figure made up of line segments
Step-by-step explanation:
Answer:
A closed plane figure made up of line segments
please help picture included
Match the verbal expression (term) with its algebraic expression (definition). Match Term Definition Some number A) a = 2 increased by two A variable decreased B) b + 2 by two Product of an C) y2 unknown value and two D) X - 2 Quotient of some number and two An unknown value E) 22 squared
9514 1404 393
Answer:
B, D, E, A, C
Step-by-step explanation:
The main idea here is to use your English comprehension skill to determine the meaning of the phrase, then use your math understanding to write it in symbols. Turning off your brain at the sight of a "word problem" will not be productive.
The wording "some number" or "a variable" or "unknown value" all refer to a variable, typically represented by a single letter. Letters commonly use are {a, b, c, x, y, z}, but variables are not restricted to that set (nor to single letters, nor lower case letters).
In most cases, the math expression is a direct translation of the English expression using the usual math symbols. Values are generally increased by addition, decreased by subtraction, squared using an exponent of 2. A product is the result of multiplication, and a quotient is the result of division.
Top-to-bottom, the boxes on the left will be filled with B, D, E, A, C.
What’s the ratio of 20 to 3
Answer:
666.666666666667%
Step-by-step explanation:
Convert fraction (ratio) - 20 / 3 Answer: -666.666666666667%
A force of 50 pounds acts on an object at an angle of 45 degrees. A second force of 75 pounds acts on the object at an angle of -30 degrees. Find the direction and magnitude of the resultant force.
Answer:
The magnitude of the resultant force is:
[tex]R=100.3 \:pound[/tex]
The direction is:
[tex]\theta=1.2^{\circ}[/tex]
Step-by-step explanation:
Let's find the components of each vector is x and y-directions first.
Sum of x-component vector forces.
[tex]F_{tot-x}=F_{1}cos(45)+F_{2}cos(30)[/tex]
[tex]F_{tot-x}=50cos(45)+75cos(30)[/tex]
[tex]F_{tot-x}=100.3 \: pound[/tex]
Sum of y-component vector forces.
[tex]F_{tot-y}=-F_{1}sin(45)+F_{2}sin(30)[/tex]
[tex]F_{tot-y}=-50sin(45)+75sin(30)[/tex]
[tex]F_{tot-y}=2.1 \: pound[/tex]
The magnitude of the resultant force is:
[tex]R=\sqrt{100.3^{2}+2.1^{2}}[/tex]
[tex]R=100.3 \:pound[/tex]
The direction is:
[tex]tan(\theta)=\frac{2.1}{100.3}[/tex]
[tex]\theta=arctan(\frac{2.1}{100.3})[/tex]
[tex]\theta=1.2^{\circ}[/tex]
I hope it helps you!
if jane give £2 pounds to charlotte they will have equal amount of money. instead
charlotte give £4 to jane the ratio of jane's money to charlotte will be 2:1. how much
do jane and charlotte each have to start with
Find a function whose graph is a parabola with vertex (1, −2) and that passes through the point (5, 14)
Answer:
[tex]f(x)=(x-1)^2-2[/tex]
Step-by-step explanation:
Equation of a parabola:
[tex]y=a(x-h)^2+k[/tex]
The vertex is given as [tex](h,k)[/tex] -> [tex](1, -2)[/tex]
Plug in both the given point and vertex to find the value of [tex]a[/tex]:
[tex]y=a(x-h)^2+k[/tex]
[tex]y=a(x-1)^2-2[/tex]
[tex]14=a(5-1)^2-2[/tex]
[tex]14=a(4)^2-2[/tex]
[tex]14=16a-2[/tex]
[tex]16=16a[/tex]
[tex]1=a[/tex]
[tex]a=1[/tex]
Therefore, the final function is [tex]f(x)=(x-1)^2-2[/tex]
See attached graph below for a visual of the function.
pls help for both 12 and 13!!
Answer:
The answer to 12 is 40 cubic units
Step-by-step explanation:
Help me out plsssssss
Answer:
125
Step-by-step explanation:
the bearing of b to a is equal to 85+45
During a sale, a store offered a 15% discount on a couch that originally sold
for $800. After the sale, the discounted price of the couch was marked up by
15%. What was the price of the couch after the markup? Round to the nearest
cent.
Answer:
t think the answer is 1040.
I need the steps if possible:)
Answer:
3/6=1/2
Step-by-step explanation:
There are 3 ways you can roll an even number on a 6-sided die: 2, 4, and 6
Therefore, the probability of rolling an even number is 3/6 or 1/2.
A + B + C = 4
step by step please
Step-by-step explanation:
Let's solve for a.
a+b+c=4
Step 1: Add -b to both sides.
a+b+c+−b=4+−b
a+c=−b+4
Step 2: Add -c to both sides.
a+c+−c=−b+4+−c
a=−b−c+4
Answer:
a=−b−c+4
(hope this helped plz mark brilliant)
in a system of equations why is the intersection the solution
9514 1404 393
Answer:
It satisfies both equations.
Step-by-step explanation:
The points on the graph of an equation are the values of the variables that satisfy the equation (make it true).
In a system of equations, you're generally looking for values of the variables that satisfy all of the equations in the system. That is, the solution will be a point on the graph of every equation in the system.
For a point to be on more than one graph, it must lie at a point of intersection of the graphs. If all of the graphs of a system go through the point of intersection, that point satisfies all of the equations, so is a solution of the system of equations.
What is the area of this???
Which of these would be the opposite of a progressive tax?
Answer:
b
Step-by-step explanation:
The product of 4 and the depth of the pool
Answer:
product means multiplication (×) so what ever is the depth of the pool is multiplied by 4
Step-by-step explanation:
what is the depth of the pool?
Paul signs up for a new cell phone plan. He is offered a discount for the first five months. After this period, his rate increases by $8.50 per month. His total cost at the end of the year is $245.50. Paul wrote the following equation to represent his plan. 5x + 7(x + 8.50) = 245.50
Answer:
The first 5 months Paul paid $ 15.50, and in the next 7 months he paid $ 24.
Step-by-step explanation:
Since Paul signs up for a new cell phone plan, and he is offered a discount for the first five months, and after this period, his rate increases by $ 8.50 per month, and his total cost at the end of the year is $ 245.50, and Paul wrote the following equation to represent his plan: 5x + 7 (x + 8.50) = 245.50; To determine the value of X, the following calculation must be performed:
5X + 7 x (X + 8.50) = 245.50
5X + 7X + 59.50 = 245.50
12X + 59.50 = 245.50
12X = 245.50 - 59.50
12X = 186
X = 186/12
X = 15.50
Therefore, the first 5 months Paul paid $ 15.50, and in the next 7 months he paid $ 24.
the product of 2 numbers, p and q, decreased by 3 times their sum. (as an algebraic expression)
Answer:
3 - (p*q) im not sure lol
Step-by-step explanation:
Use the Pythagorean Theorem to find the length of the leg in the triangle shown below. The figure shows a right triangle with one leg marked 8. The hypotenuse is marked 10. The figure shows a right triangle with one leg marked 8. The hypotenuse is marked 10.
Answer:
6
Step-by-step explanation:
a² + b² = c²
a² + 8² = 10²
a² + 64 = 100
Subtract 64 from both sides
a² = 36
Take the square root of both sides
a = 6
Answer:
x²+y²=hyptneus ²
Step-by-step explanation:
length is always positive
so answer is 6
If JK is formed by J(-7,-8) & K(1,4), determine if L(-9,5), lies on the perpendicular bisector.
Part A: What elements do you you need to know to confirm that Point L is on the perpendicular bisector of JK?
Part B: Find the elements you described in Part A , explain your work.
Part C: Verify if Point L is on the perpendicular bisector of JK. Justify your conclusion.
Answer:
Following are the responses to the given question:
Step-by-step explanation:
For point a:
Bisector Theorem: When a point has been on the perpendicular bisector of a segment, the perpendicular bisector is equivalent towards the segment endpoints. They understand that conversation also valid in addition to the Theorem including its perpendicular bisector. So the distance b/w L and J, L, and k must be found. Examine it then.
For point b:
Calculating the distance among two point:
[tex]d_0 = \sqrt{(x_1-x_2)^2 +(y_1-y_2)^2}[/tex]
Calculating the distance among J and L
[tex]d_1 = \sqrt{((-9)-(-7))^2 + (5)-(-8))^2}[/tex]
[tex]=\sqrt{(-2)^2+(13)^2}\\\\ = \sqrt{173}[/tex]
Calculating the distance among K and L
[tex]d_2 = \sqrt{((-9)-(1))^2 + (5)-(4))^2}[/tex]
[tex]=\sqrt{(10)^2+(1)^2}\\ = \sqrt{101}[/tex]
For point c:
As these two distances are not equal, L doesn't really lie on the JK bisector.