Answer:meters
Step-by-step explanation:
How do you find the perimeter of a tennis court with an area of 7,200?
Sven investigates the amount of damage to the head gaskets on the trucks in his fleet and find that the damage index depends on the ambient temperature. He develops the equation y = - 2 3 x + 14 to model the relationship. What does 14 mean? A) The temperature only adds 14 to the damage index. B) If there is no damage index then the ambient temperature is 14. C) If the damage index is 0, then the ambient temperature would be 0. D) If the ambient temperature is 0 then the damage index would be 14.
Given is the damage index equation, [tex] y=\frac{-2}{3} x+14 [/tex]
where y represents damage index, and x represents ambient temperature.
It is similar to slope-intercept form of linear equation given by y = mx + b.
Where m is said to be the slope of line and b is the y-intercept of the line. When x = 0, y = b.
Similarly, if plug x = 0 in the damage index equation, [tex] y=\frac{-2}{3} (0)+14=14 [/tex]
So, If ambient temperature, x = 0. Then damage index, y = 14.
Hence, option D is correct i.e. " If the ambient temperature is 0 then the damage index would be 14".
Answer:
The answer is D because 14 is the y-intercepts, which means that the x-value is 0. So the correct meaning is If the ambient temperature is 0 then the damage index would be 14. .
Step-by-step explanation:
A triangle has side lengths of 14 cm, 48 cm, and 55 cm.
Using synthetic division, find (x4 − 2) ÷ (x + 1).
Answer:
Step-by-step explanation:
We have given:
x^4-2/x+1
Put x+1 = 0
x= 0-1
x= -1
-1 | 1 0 0 0 -2
| -1 1 -1 1
_______________
1 -1 1 -1 -1
Thus it makes the expression:
x^3-x^2+x-1 - 1/x+1
You can further confirm this expression by solving the expression:
(x4 − 2) ÷ (x + 1).
x^4 - 1 -1/x+1
x^4-1/x+1 - 1/x+1
(x^2-1) (x^2+1)/x+1 - 1/x+1
(x-1)(x+1) (x^2+1)/x+1 - 1/x+1
x+1 n the numerator will be cancelled out by x+1 in the denominator.
(x-1) (x^2+1) - 1/x+1
Multiply (x^2+1) by x-1
x(x^2+1) -1(x^2+1) - 1/x+1
x^3+x-x^2-1 - 1/x+1
x^3-x^2+x-1 - 1/x+1 ....
A set of scores ranges from a high of x = 96 to a low of x = 11. if these scores were placed in a grouped frequency distribution table, what is the best value for the interval width?
The best value for the interval width is 17
The highest and the lowest data elements are given as:
x = 96
x = 11
Start by calculating the range
Range = High - Low
So, we have:
Range = 96 - 11
Range = 85
The interval width depends on the number of classes.
Assume that the number of classes is 5,
Then the width is calculated as:
Width = Range / Class
So, we have:
Width = 85/5
Width = 17
Hence, the number of interval width is 17
Read more about interval width at:
https://brainly.com/question/16631975
15% of the bands total ticket sales is $375. Which proportion should we use
find the area of an equilateral triangle (regular 3-gon) with the given measurement 9-inch A=sq. in.
What are the solutions to the equation √ ̅5x + 1 = x + 1?
Find the midpoint of side EF. Figure EFGH is shown. E is at negative 2, 3. F is at 1, 6. G is at 4, 3. H is at 1, 0. (−1, 4) (−0.75, 4.25) (−0.5, 4.5) (−0.25, 4.75)
Hence, the mid-point of side EF is located at:
(-0.5,4.5)
Step-by-step explanation:We know that the coordinates of a mid-point C(e,f) of a line segment AB with vertices A(a,b) and B(c,d) is given by:
[tex]e=\dfrac{a+c}{2},\ f=\dfrac{b+d}{2}[/tex]
Here we have to find the mid-point of side EF.
E(-2,3) i.e. (a,b)=(2,3)
and F(1,6) i.e. (c,d)=(1,6)
Hence, the coordinate of midpoint of EF is:
[tex]e=\dfrac{-2+1}{2}\ ,\ f=\dfrac{3+6}{2}\\\\\\e=\dfrac{-1}{2}\ ,\ f=\dfrac{9}{2}\\\\\\e=-0.5\ ,\ f=4.5[/tex]
Hence, the mid-point of side EF is:
(-0.5,4.5)
Nancy has nine books and she has read 8 total books Sally has two times more books the Nancy how many books does Sally have
Sally has 18 books, as she has two times more books than Nancy, who has 9 books. The equation used is Sally's books = 2 × Nancy's books. Therefore, 2 × 9 = 18.
To determine how many books Sally has, we need to understand that she has two times more books than Nancy. Nancy has a total of 9 books.
The equation we use here is:
Sally's books = 2 × Nancy's booksGiven Nancy's books = 9:
Sally's books = 2 × 9 = 18Therefore, Sally has 18 books.
The diagonals of a rhombus are 12 in. and 16 in. long. The length of a side of the rhombus is 10 in. What is the height of the rhombus? Explain how you found your answer.
Bob traveled 90 miles which was 250/3 % of his trip. How many miles did he still have to travel?
Answer:
18
Step-by-step explanation:
[tex]90[/tex] ÷ [tex]\frac{250}{3} = 1.08[/tex]
This is 1% of the trip
[tex]1.08[/tex] · [tex]100 = 108[/tex]
This is the amount of the whole trip
[tex]108 - 90 = 18[/tex]
So the answer is he has to 18 more miles to travel.
Trey graphs the equations y = –x2 + 2x + 3 and y = x2 – 2x + 3 to solve the equation –x2 + 2x + 3 = x2 – 2x + 3. His graph is shown below.
mc011-1.jpg
What are the solution(s) of –x2 + 2x + 3 = x2 – 2x + 3?
The solution of the equation [tex]-x^2+2x+3=x^2-2x+3[/tex] are the x-coordinates of common points on the graphs of the function [tex]y=-x^2+2x+3[/tex] and [tex]y=x^2-2x+3.[/tex]
As you can see from the attached diagram these graphs intersect at points (0,3) and (2,3), then the solutions of the previous equation are x=0 and x=2.
Answer: x=0, x=2.
In a circle with a radius of 6 m, an arc is intercepted by a central angle of 7π4 radians. What is the arc length? Use 3.14 for π . Enter your answer as a decimal in the box.
Answer:
[tex]Arc length=32.97m[/tex]
Step-by-step explanation:
It is given that In a circle with a radius of 6 m, an arc is intercepted by a central angle of [tex]\frac{7\pi}{4}[/tex] radians.
Then, the arclength of the circle is given as:
[tex]Arc length=radius{\times}central angle[/tex]
⇒[tex]Arc length=6{\times}\frac{7\pi}{4}[/tex]
⇒[tex]Arc length=\frac{21\pi}{2}[/tex]
⇒[tex]Arc length=10.5{\times}3.14[/tex]
⇒[tex]Arc length=32.97m[/tex]
Thus, the arc length of the given circle is 32.97m.
at halloween 3/10 of the candy robin receivd was chocolate. what percent of candy was chocolate,
PLEASE HELP ME!!!!!!!
A student who was ineligible for financial aid needed to borrow 775,000 for tuition,books,and living expenses. Some money was borrowed at 8%, some at 9%, and some at 10%. How much was borrowed at each interest rate if the annual interest owed was 67,500 and the amount borrowed at 8% was four times the amount borrowed at 10%.
8%:
9%:
10%:
Rosa paints a wall in her bedroom. She puts green paint on 5/8 of the wall and blue paint on 3/8 of he wall. Compare fractions using <>=
Experts/ace/geniuses helpp
In one week, the Green Recycling Center
received 784 aluminum cans. They
received the same number of cans each
day. How many cans did the recycling
center receive each day?
Verify the identity. Show your work. (1 + tan^2u)(1 - sin^2u) = 1
What is BP? Enter your answer as a decimal in the box
given that 1 is a zero of p(x)=3x^4-x^3-8x^2+2x+4, factor the polynomial completely, and then list all its zeros.
a rectangular prism has a top area of 20ft square and a height of 5ft. what is the volume of this rectangular prism
Solve for x. x − 4 1/6 = 9 1/3 A) −131 2 B) −51 6 C) 131 2 D) 51 6
if 10/4 = 14/x what is x?
which ratio is porportional to 18/21? A.2/3 B. 30/35 C. 36/48 D.1/3
Zakir loans Panji $20,000 for one year at 8% simple interest. Three months later, Zakir sells the note to Ben at a simple discount rate of 7 3/4%. How much does Ben pay for the note?
What is an atom? GIVING BRAINLIEST 30 POINTS PLEASE HELP
Question 1 options:
an indivisible particle
one of the three particles that make up all matter
an element without an electrical charge
the basic particle that makes up matter
Question 2 (1 point) Question 2 Unsaved
What is a neutron?
Question 2 options:
a subatomic particle with no electric charge, found in the electron cloud
a subatomic particle with no electric charge, found in the nucleus of an atom
a subatomic particle with no electric charge, found in the neutron cloud
a subatomic particle with either a positive or negative electric charge, found in the nucleus of an atom
Question 3 (1 point) Question 3 Unsaved
What is a proton?
Question 3 options:
a subatomic particle with a -1 negative electric charge, found in the proton cloud
a subatomic particle with a +1 positive electric charge, found in the nucleus of an atom
a subatomic particle with a -1 negative electric charge, found in the nucleus of an atom
a subatomic particle with a +1 positive electric charge, found in the proton cloud
Question 4 (1 point) Question 4 Unsaved
What is an electron?
Question 4 options:
a subatomic particle with a +1 positive electric charge, found in the electron cloud
a subatomic particle with a -1 negative electric charge, found in the nucleus of the atom
a subatomic particle with a +1 positive electric charge, found anywhere in an atom
a subatomic particle with a -1 negative electric charge, found in the electron cloud
Question 5 (1 point) Question 5 Unsaved
What is an electron cloud?
Question 5 options:
the area surrounded by the nucleus of an atom, where electrons and neutrons can be found
the area that surrounds the nucleus of an atom, where electrons can be found
the area that surrounds the nucleus of an atom, where electrons and neutrons can be found
the area surrounded by the nucleus of an atom, where electrons can be found
Question 6 (1 point) Question 6 Unsaved
What is an ion?
Question 6 options:
an atom with either more or fewer electrons than protons, giving the atom either a positive or negative charge
an atom with either more or fewer neutrons than protons, giving the atom a different atomic mass
an atom with either more or fewer electrons than protons, giving the atom a significantly different atomic mass
an atom with either more or fewer neutrons than protons, giving the atom either a positive or negative charge
Question 7 (1 point) Question 7 Unsaved
What are isotopes?
Question 7 options:
atoms of the same element that have different atomic masses because they have different numbers of protons
atoms of the same element that have different atomic masses because they have different number of electrons
atoms of the same element that have different electric charges because they have different numbers of neutrons
atoms of the same element that have different atomic masses because they have different numbers of neutrons
Question 8 (1 point) Question 8 Unsaved
Which statement is FALSE?
Question 8 options:
An ion can be either positively or negatively charged
Isotopes are caused by different numbers of neutrons in the electron cloud
Question 9 (1 point) Question 9 Unsaved
Look at the timeline below. What is missing from the timeline?
Question 9 options:
1913 CE: Bohr proposed that electrons can change their orbit with a change of energy. He calls the orbits valence shells.
Question 10 (1 point) Question 10 Unsaved
What is the overall charge of an atom’s nucleus?
Question 10 options:
positive
neutral
negative
It depends on how many protons are in the nucleus.
It depends on how many neutrons are in the nucleus.
Question 11 (1 point) Question 11 Unsaved
Where is most of the mass in an atom?
Question 11 options:
electrons
nucleus
electron cloud
protons
neutrons
Answer:
1. Option 4
2. Option 2
3. Option 2
4. Option 4 (not completely sure)
5. Option 2
6. Option 1 (not completely sure)
7. Option 4
8. Isotopes are caused by different numbers of neutrons in the electron cloud
9. Not sure of the question
10. Positive charge
11. nucleus
Step-by-step explanation:
Give the guy above me brainliest.
the sum of two integers is 9 and the sum of their squares is 53. Find the integers.
one bag of toy animals weigh12 ounces. what is the total weight, in ounces, of the bags of toy animals in one crate