Answer:
The number of miles the homes of Fran's and Alex's homes are apart is approximately 8.602 miles
Step-by-step explanation:
The given displacements, d in vector form are;
For Fran;
3 miles west and 2 miles south gives d₁ = -3·i - 2·j
For Alex;
4 miles east and 3 miles north gives d₂ = 4·i + 3·j
The number of miles apart between Fran's and Alex's homes = d₂ - d₁
d₂ - d₁ = 4·i - (-3·i) + 3·j - (-2·j) = 7·i + 5·j
∴ The number of miles between Fran's and Alex's homes = 7·i + 5·j
The magnitude in miles in the distance between Fran's and Alex's homes = √(7² + 5²) = √74
∴ The magnitude in miles in the distance between Fran's and Alex's homes ≈ 8.602 miles
The magnitude in miles in the distance between Fran's and Alex's homes = The number of miles the homes of Fran's and Alex's homes are apart
∴ The number of miles the homes of Fran's and Alex's homes are apart ≈ 8.602 miles
A school lunch costs $2.50. A monthly lunch pass costs $40.00. Which inequality represents the number x of lunches you must purchase for the monthly pass to be a better deal?
Answer:
The inequality 2.50x>40.00 represents the number of lunches needed to be purchased for the monthly lunch pass to be a better deal.
Step-by-step explanation:
Given that:
Cost of each lunch = $2.50
Cost of monthly lunch pass = $40.00
Number of lunches = x
For making the monthly pass a better deal, the cost of lunches should be greater than the cost of monthly lunches, therefore
Cost of lunch * Number of lunches > Cost of monthly lunch pass
2.50x > 40.00
Hence,
The inequality 2.50x>40.00 represents the number of lunches needed to be purchased for the monthly lunch pass to be a better deal.
Answer:
2.50x > 40.00
$2.50 times a number of lunches is greater than $40.
Step-by-step explanation:
What is the value of (7 +21)(3 - i)?
A country has an area of approximately 8,400,000,000 square miles and has an approximate population of 210,000 people.
How many times greater is the area than the population?
A. 40 times
B. 400 times
C. 4,000 times
D. 40,000 times
PLS HELP THIS IS TIMED!!!!!
which expression is equivalent to 4x^2 sqrt 5x^4 • 3 sqrt 5x^8 if x ≠ 0
Answer:
B
Step-by-step explanation:
The equivalent expression is [tex]16x^{8}[/tex]. So, the correct option is B.
Given:
The given expression is:
[tex]4x^2\sqrt{5x^4}3\sqrt{5x^8},x\neq 0[/tex]
To find:
The equivalent expression.
Explanation:
We have,
[tex]4x^2\sqrt{5x^4}3\sqrt{5x^8}[/tex]
On simplification, we get
[tex]=4x^2(x^2\sqrt{5})3(x^4\sqrt{5})[/tex]
[tex]=(4\times 3)(x^{2+2+4})(\sqrt{5}\times \sqrt{5})[/tex]
[tex]=12(x^{8})(5)[/tex]
[tex]=16x^{8}[/tex]
Therefore, the correct option is B.
Learn more:
https://brainly.com/question/23916512
Given 3,8,14,x+6,2x-3,25,32,50 are in ascending order , whose median is 18. Find the unknown terms.
find out distinct 3 letter word that can be formed from using the word singapore
Answer:
Sing
Gap
Nape
There are more than 3 distinct words
anyone got an Amazon gift card code that i could use
Answer:
no
Step-by-step explanation:
Answer:
No, I do not, sorry
Step-by-step explanation:
What is the value of Arc cosine (sine (StartFraction 5 pi Over 4 EndFraction) )?
StartFraction 3 pi Over 4 EndFraction
StartFraction 5 pi Over 6 EndFraction
StartFraction 7 pi Over 6 EndFraction
StartFraction 5 pi Over 4 EndFraction
Answer:
3 pi over 4
Step-by-step explanation:
Answer:
guy above me is right
Step-by-step explanation:
the denominator of a rational number is greater than the numerator by 6 if the numerator and denominator are both increased by 2 the number becomes 3/5 find the original number
ill mark your question brainliest if u give me corect amswer
Answer:
7/13
Step-by-step explanation:
Let's call x= numerator
We know that :
Denominator= x+6
And
(numerator +2)/(denominator +2) = 3/5
So
(x+2)/(x+6+2)=3/5
(x+2)/(x+8)=3/5
(x+2)*5=(x+8)*3
5x+10=3x+24
2x=14
x=7
In the end
Numerator= x =7
Denominator=x+6 = 13
So the original number is 7/13
I hope this helps, have a beautiful day
please help me with this question
Answer:
First question is 109
Second question is 45, but I guess it's a typo with 145.
Given that f(x) = 2x − 5, find the value of x that makes f(x) = 15. (5 points)
Select one:
a. 5
b. 10
c. 20
d. 25
I need to know how to solve this problem, you don't necessarily have to answer it, i just don't know the name and the steps to solving it because I missed out on a class that explained it, so I'm in the dark
Answer:
f(-3) = -16
Step-by-step explanation:
Given piecewise function is,
f(x) = 5x - 1 If x < -2
x + 3 If x ≥ -2
We have to find the value of he function when x = -3
Since x = -3 is less than x = -2,
Piece of the function to be considered,
f(x) = 5x - 1
f(-3) = 5(-3) - 1
f(-3) = -16
convert 112 from binary to base 10:
Answer:
The base-10 value of 112*10 is equal to base-2 value of 11100002
Please solve this question I'm giving away 25 points hurry
Answer:
5t
Step-by-step explanation:
hey i hope this helps
Evaluate the expression when a= 3 and b = 43.
b-5a
Answer:
28
Step-by-step explanation:
The answer. X=7 Ik that
Answer:
C: 147°
Step-by-step explanation:
Based on looking, the most appropriate answer should be C, which is 147°.
SOLVE AND SHOW WORK PLSSSS!! Find the length of the missing sides. Do not round (leave in simplified radical form).
Answer:
For the first triangle the missing sides are 7 and 7√2 For the second triangle,the missing sides are 13√3 and 13
Step-by-step explanation:
For the first triangle,
cos(45°)=7/hypotenuse
hypotenuse×cos45=7
hypotenuse×√2/2=7
hypotenuse=14/√2=7√2
We can now find the adjacent side using Pythagorean theorem,
√(7√2)²-7²=7
For the second triangle,
cos(30°)=adjacent/hypotenuse
but cos 30=√3/2
√3/2=adjacent/26(cross multiply and simplify)
26√3/2=13√3
To find the opposite length,
√(26)²-(13√3)²=13
Graph y=-|x|+10 PLS TELL ME THE CORD NUMBERS I WILL GIVE YOU MORE POINTS PLS AWNSER THIS QUICKLY!
Answer: answer is in the ss i put
Source:trust me bro
-3x + 40 = -23
A) -21
B)5.6
C)21
D)-32.3
Answer:
C) 21
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
BracketsParenthesisExponentsMultiplicationDivisionAdditionSubtractionLeft to RightEquality Properties
Step-by-step explanation:
Step 1: Define
-3x + 40 = -23
Step 2: Solve for x
Isolate x term: -3x = -63Isolate x: x = 21Step 3: Check
Plug in x into the original equation to verify it's a solution.
Substitute in x: -3(21) + 40 = -23Multiply: -63 + 40 = -23Add: -23 = -23Here we see that -23 does indeed equal -23.
∴ x = 21 is the solution to the equation.
What is the slope of a line perpendicular to the line whose equation is x+y=2
Answer:
x+y-2=0
Step-by-step explanation:
thats ur anwser you are welcome:)
The triangles below are similar. What is the length of the missing side?
2
9
6
8
Answer:
8
Step-by-step explanation:
it's multiplied by 2 as you go to triangle 2
Answer:
x = 8
Step-by-step explanation:
Since the triangles are similar then the ratios of corresponding sides are equal, that is
[tex]\frac{5}{10}[/tex] = [tex]\frac{4}{x}[/tex] ( cross- multiply )
5x = 40 ( divide both sides by 5 )
x = 8
A common tub is 54 inches long. What could be its length in centimeters? (1 inch = 2.54 cm)
Answer:
137.16 cm
Step-by-step explanation:
its jus multiplication so 54in x 2.54cm
Which equation is not linear
A. -4x + 2y =7
B. x/4 =y
C. X=-5
D. 2/x + 3/y
[ that's / not a division it's a fraction bar]
What is the circumference?
18 yd
Answer:is 18 yd the radius
Step-by-step explanation:
if so its 113.1
I WILL MARK BRAINIEST
PLEASE ANSWER ASAP
Describe the x-values of which (a) f is increasing or decreasing, (b) f(x)>0 and (c) f(x)<0
Brenda is opening a savings account which compounds interest quarterly. Her banker gave her the following expression to
find the amount that will be in the account, in dollars, after tyears.
4,200(1.05)41
Which statement below best describes the base, 1.05?
OA.
the amount of the initial deposit
OB
the amount of the yearly earnings
OC. the rate at which the account is increasing
OD
the number of times the account has compounded since it was opened
Answer:
The correct option is;
C. The rate at which the account is increasing
Step-by-step explanation:
The given parameters are;
The rate at which the compound interest on the savings account is compounded = quarterly
The expression given by her banker to find the amount in the account after t years = 4,200(1.05)^(4t)
Therefore, the 1.05 = The rate at which the account is increasing
In order for Josh to graph the solution to the inequality 4x - 2y > 6, which of the following steps does he need to use? Select all that apply.
Shade above the line.
Solve the inequality as y < 2x-3.
Draw the line y=2x-3 as a solid line.
Draw the line y=2x-3 as a dashed line.
Shade below the line.
Solve the inequality as y> 2x-3.
Solve the inequality as y < 2x-3.
Draw the line y=2x-3 as a dashed line.
Shade below the line.
Josh needs to follow the steps to draw the required inequality graph.
Solve the inequality y < 2x - 3 by solving for the x and y-interceptDraw the straight line y < 2x - 3 as a dashed line (since we have less than sign )Shade below the line. (Below the line are shaded for inequality sign that is "less than")Inequality expressions are expressions that are not separated by an equal sign.
Given the inequality expression 4x - 2y > 6,
Dividing through by 2 will give:
4x/2 - 2y/2 > 6/2
2x - y > 3
Make y the subject of the formula
-y > -2x + 3
y < 2x -3
For Josh to plot the inequality graph of y < 2x - 3, he needs to follow the process;
Solve the inequality y < 2x - 3 by solving for the x and y-interceptDraw the straight line y < 2x - 3 as a dashed line (since we have less than sign )Shade below the line. (Below the line are shaded for inequality sign that is "less than")Learn more here: https://brainly.com/question/6874464
The price of the radio was $14. The sales tax was 3.5%.
What was the total cost of the radio, including the sales
tax?
Answer:
14.49
Step-by-step explanation:
14 * 0.035 = 0.49
14 + 0.49 = 14.49
PLEASE HELP BEING TIMED
The mass of Venus is 4.87 × 1024 kilograms, and the mass of Jupiter is 1,898 × 1024 kilograms.
The mass of Jupiter is about -----times the mass of Venus.
Answer:
The mass of the jupitor is 1444864 times the mass of the venus.
Step-by-step explanation:
Suppose you know that ∠S and ∠Y are complementary, and that m∠S = 3(m∠Y) − 130°. Find m∠Y.