Answer:
W PM^2 − WP(M−S)^2=T
Step-by-step explanation:
this is what mathaway said
The expression 14 ^ 6= 14^4 is equal to
14^2
1
2
14^10
Answer:14^2
Step-by-step explanation:
Answer:
14^2
Step-by-step explanation:
:)
Match the fraction with its equivalent decimal form of the number.
1. 1 /23
2. 1 3/5
3. 1 1/4
4. 1 33/50
Choices are 1.6, 1.6 with line above 6, 1.25, and 1.66
Answer:
see below
Step-by-step explanation:
The overbar on decimal digits means they repeat forever.
Any fraction with a denominator consisting of powers of 2 and/or 5 will terminate. These can be converted to decimal by multiplying the fraction by a number to make the denominator an appropriate power of ten.
1 2/3 = 1.66666666666... repeating
1 3/5 = 1 (3·2)/(5·2) = 1 6/10 = 1.6
1 1/4 = 1 (1·25)/(4·25) = 1 25/100 = 1.25
1 33/50 = 1 (33·2)/(50·2) = 1 66/100 = 1.66
Of course, your calculator can tell you the decimal equivalents, too.
:2:
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:1:
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:4:
This is correct btw
Which of the following sets of ordered pairs represents a function?
Answer:
A
Step-by-step explanation:
it has only one of each x value
the relationship between the zeroes and coefficients of the quadratic polynomial ax2+bx+c is
Answer:
Below
Step-by-step explanation:
Let x and x' be the zeroes of the quadratic polynomial ax^2 +bx + c
● xx'= -c/a
● x + x' = -b/a
help me solve this trigonometry
Answer:
2a) x=40.44, y=2.816
Step-by-step explanation:
2a)
Use SOHCAHTOA. You have the opposite (2.4) and the hypotenuse (3.7)
so you use SOH, which means sin(x) = opposite/hypotenuse
so x = sin⁻¹ (2.4 / 3.7) ≈ 40.44.
To find y, we use, CAH: cos(x) = y / hypotenuse
y = cos(x) * hypotenuse = cos(40.439793) * 3.7 ≈ 2.816
Two functions represent the composite function h(x) = (x - 1)3 + 10 so that h(x) = (gof)(x). Given f(x) = x + a and
g(x) = x + b, what values of a and b would make the composition true?
a =
b=
Answer:
Hence a = -1, b = 10Step-by-step explanation:
Given h(x) = (x - 1)³ + 10, f(x) = x + a and g(x) = x³ + b so that h(x) = (gof)(x)
To get the value of a and b that will make the composite function true, we will first need to get the composite function (gof)(x).
(gof)(x) = g[f(x)]
g[f(x)] = g[ x + a]
To get g(x+a), we will replace the variable x in the function g(x) = x+b with x+a as shown;
g[x + a] = (x+a)³+b
Hence (gof)(x) = (x+a)+b
Equating h(x) = (gof)(x)
(x - 1)³ + 10 = (x+a)³+b
On comparing both sides of the equation;
(x - 1)³ = (x+a)³ and 10 = b
For (x - 1)³ = (x+a)³
Take cube root of both sides
∛ (x - 1)³ = ∛(x+a)³
x-1 = x+a
collect like terms
a = x-x-1
a = -1
Hence a = -1, b = 10
Answer:
a = -1
b = 10
Step-by-step explanation:
What is true of angles of similar triangles?
Answer:
corresponding angles are congurent
Step-by-step explanation:
Answer:
Corresponding angles are congruent
Explanation:
If you line the triangles up on top of each other, they should be the same and you should not see any angles or lines from triangle 1 away from triangle 2
At what distance is the point (-5, 3) from the x-axis?
Answer:
[tex]\Huge \boxed{\mathrm{3 \ units}}[/tex]
Step-by-step explanation:
(-5, 3)
x = -5
y = 3
The distance from the x-axis is 3 units.
Given: f(x) = 3x+2 and g(x) = -4x-2
Find the point of intersection algebraically and with your calculator
Answer:
x = -4/7, y = 2/7
Step-by-step explanation:
Given: f(x) = 3x + 2 and g(x) = - 4x - 2
The point of intersection of the two functions is the point at which both functions intersect. We have to solve the functions simultaneously to get the solution.
f(x) = y = 3x + 2
y = 3x + 2 (1)
g(x) = y = -4x - 2
y = -4x - 2 (2)
Subtract equation 2 from equation 1:
0 = 7x + 4
7x = -4
x = -4/7
Put x = (-4/7) in y = 3x + 2:
y = 3(-4/7) + 2 = -12/7 + 2 = 2/7
plz answer the question is in the pic :D
Answer:
the answer is y= -3/4 x-3 i do believe
Bruno noticed today’s gasoline price at the local convenience store was advertised as $3.40 per gallon. This price is 15% above last year’s price. Calculate last year’s price.
Answer:
Last year’s price = $2.96
Step-by-step explanation:
Given:
Current price of gasoline = $3.40
Higher rate = 15%
Find:
Last year’s price
Computation:
Last year’s price = Current price of gasoline [100 / (100 + 15)]
Last year’s price = Current price of gasoline [100 / (115)]
Last year’s price = $3.40 [100 / (115)]
Last year’s price = 2.95652
Last year’s price = $2.96
Find the midpoint of a segment with endpoints of
4-3i and -2 + 7i.
A
0.51 + 2i
1 + 2i
3 + 5i
3 + 2i
Answer:
1+2i
Step-by-step explanation:
Second one
A store sells jump ropes. Each jump rope costs the same amount. During a sale, the store reduces the price of each jump rope by $1.80. Gavin
spends $14.38 on 2 jump ropes at the sale price.
What was the price of 1 jump rope before the sale? Enter the answer in the box.
============================================
Work Shown:
x = price of one jump rope before the discount
x-1.80 = price of one jump rope after discount
2*(x-1.80) = total amount Gavin spends
2*(x - 1.80) = 14.38
x - 1.80 = 14.38/2 .... divide both sides by 2
x - 1.80 = 7.19
x = 7.19 + 1.80 ..... adding 1.80 to both sides
x = 8.99
Before the sale, one jump rope costs 8.99 dollars
After the sale, one jump rope costs 8.99 - 1.80 = 7.19 dollars.
This doubles to 2*7.19 = 14.38 dollars which is what Gavin spent in total. This helps confirm the answer.
Answer:
$8.99
Step-by-step explanation:
Answer All The Questions
1. In a cyclic quadrilateral BDEF, <BDF=66° and <DBC=57°, O is the centre of the circle and ABC is tangent at B. Calculate
I. <EBF
II. <EBD
III.<FED
IV.<FBD
2. A woman travelled from Lagos to Ondo a distance of 350km. Her average speed on the outward journey was ykm. On the return journey, her average speed was 10km/hr faster and therefore she completed the return journey 37.5minutes earlier. Find
A. The value of y
B. Get average speed on the return journey in km/hr
C. The total time taken for the whole journey in hrs.
I'll mark brainliest plssssssss
Answer:
Step-by-step explanation:
From the attachment, we can see that
<EBF = 33°
<EBD = 33°
<FED = 114°
<FBD = 66°
Part 2
The value of y is either of 70 or -80. But then, we all know that speed can not be negative, so the speed was 70 km/h
The return speed is y + 10 = 70 + 10 = 80 km/h
Total time = 350/70 + 350/(70+10)
Total time = 5 + 4.375
Total time = 9.375 hr
Can someone explain Algebra plz
Answer: Algebra is one of the broad parts of mathematics, together with number theory, geometry and analysis. In its most general form, algebra is the study of mathematical symbols and the rules for manipulating these symbols it is a unifying thread of almost all of mathematics. It includes everything from elementary equation solving to the study of abstractions such as groups, rings, and fields. The more basic parts of algebra are called elementary algebra; the more abstract parts are called abstract algebra or modern algebra. Elementary algebra is generally considered to be essential for any study of mathematics, science, or engineering, as well as such applications as medicine and economics. Abstract algebra is a major area in advanced mathematics, studied primarily by professional mathematicians.
That's the only way i know how to put it.
x-15≤-6, solve for x
Answer:
x ≤ 9
Step-by-step explanation:
x - 15 ≤ -6
x - 15 + 15 ≤ -6 + 15
x ≤ 9
One of Euclid's postulates has always seemed to be too complex, and Euclid himself thought it should be proved as a theorem--but it cannot be. Which postulate is this
Answer:
The answer is "The Parallel Postulate ".
Step-by-step explanation:
When the two lines will cross where angles of the amount are less than 180 degrees and the direct line overlaps two direct lines, that produces 2 ways the reinforcement on the same side to less than 180 degrees if extended indefinitely from the other hand. All this means that there is only one segment on the same plane parallel to a certain line at any point, not with a line.
in a class of 14 boys and 12 girls one of the student is picked in a random what is the probability that the student is a girl
Step-by-step explanation:
Total number of students =14+12
=26
Probability that a student is a girl
[tex] = \frac{number \: of \:girls}{total \: number \: of \: students} \\ = \frac{12}{26} \\ = \frac{6}{13} \\ therefore \: the \: probability \: that \: \\ a \: student \: is \: a \: girl \: \\ = \frac{6}{13} [/tex]
11. The Book Club sells calendars to raise
money to buy books. The club buys
the calendars for $2 each. They sell the
calendars for $6 each. They also spend
$10.48 on advertising. If the club sells
106 calendars, what will be their profit?
A $402.52 52710.45 – 2.48
B $413.52 100x2=22
C $424.00
la to do
De
D $625.52
148
-2000
A
Answer:
profit =6-2=4
4×106-10.48 = 413.52
Answer: B. 413.52
Step-by-step explanation:
the net profit (ignore all other stuff): 106×6
the fee used for buying: 106×2
the advertising price: 10.48
106×6-106×2-10.48
=636-212-10.48
=424-10.48
=413.52
I need help asap!!!! Please It’s an Algebra 2 question
Answer:
8) Real; Rational
9) Real; Rational; Integer; Whole; Natural
10) Real; Rational
Step-by-step explanation:
Real numbers consists of the subsets:
Irrational Numbers:
Irrational numbers is the subset complementary to rational numbers. It includes numbers such as √(2) or π. These numbers do not repeat nor terminate.
Rational Numbers:
Rational numbers are all the others. They include the integers as well as the repeating and terminating decimals.
Integers:
Integers include the entire set of whole numbers and the negative numbers. This subset does not include decimals nor fractions. Thus, the integers are: ...-3, -2, -1, 0, 1, 2, 3... etc.
Whole Numbers:
Whole numbers is the set of natural numbers that includes 0. So, whole numbers are: 0, 1, 2, 3... and so on.
Natural Numbers:
Natural numbers or the counting numbers are all the positive, non-decimal numbers. These are 1, 2, 3... and so on. This set does not include 0.
8) [tex]1.\overline{3}=1.3333...[/tex]
The given number is not natural, whole, nor an integer because it is a decimal. It repeats, so it belongs to the rational numbers subset.
9) [tex]\sqrt4=2[/tex]
The square root of 4 is simply 2. 2 is a natural number. Because of this, this means that 2 is also a whole number, integer, and a rational number.
10)[tex]-3/4=-0.75[/tex]
The given number is a fraction and it does not reduce to a whole number, so it's not a natural number, whole number, nor an integer. It does terminate, so it belongs to the rational numbers subset.
Jennifer earns $17.35 per hour at her job. She works 6 hours per day, 5 days per week. What is Jennifer’s gross income for a 2 week pay period?
Answer:
She makes $1041 in 2 weeks
Step-by-step explanation:
First, we can work on finding how much she makes in a day. To find the daily income, we need to multiply 17.35 by 6 since she works 6 hours a day.
17.35x6=104.1
She makes $104.10 a day. Now we multiply by 5 since she works 5 days a week
104.10x5=520.50 a week
Since we are trying to find how much she makes in two weeks, we multiply the weekly income by 2
520.5x2=1041
She makes $1041 in 2 weeks
The simple linear regression model requires that X-Y data has a linear relationship. What methods can you use to determine if the data have this type of relationship
Answer:
Correlation
Step-by-step explanation:
The Simple linear regression model, also called as 'Classical Linear Regression Model' requires that X-Y data has a linear relationship.
Preliminary correlation analysis can be used to determine if data have this type of relationship. As Correlation is used to study positive or negative linear relationship between two variables.
However, difference is that Regression establishes cause effect relationship, correlation signifies just mutual correlation.
A meter is 100 centimeters, so a centimeter is one hundredth of a meter (0.01 meter). A meter was divided into two parts. One part was 0.37 meter long. How long was the other part?
Answer:
0.63 meters
Step-by-step explanation:
Given the following :
1 meter = 100 centimeters
1 centimeter will be (1/100)meter
1 meter is divided into two :
Assume x and y
One part = 0.37 meters, = x
Then y will be :
x + y = 1 meter
x = 0.37
0.37 + y = 1
y = 1 - 0.37
y = 0.63 meters
Hence, the other part will be 0.63 meters
a) Solve: d - 1/4 = -1/2 (Make sure to explain each step.)
b) Solve: m + 4 . 8 = 9 . 2 (Make sure to explain each step.)
Answer:
3/44.4Step-by-step explanation:
1/2+1/4=3/49.2-4.8=4.4I NEED HELP PLEASE :(
Answer:
4
Step-by-step explanation:
[tex] \huge \sqrt[4]{256} = \sqrt[4]{ {4}^{4} } = 4 [/tex]
what is derivative of cosec(ax+b) ? please explain it step by step
Answer:
(csc(ax+b))'=-a csc(ax+b)cot(ax+b)
Step-by-step explanation:
We are asked to find the derivative of csc(ax+b). I assume you are asked to find the derivative with respect to x. If the assumption is wrong, please note so in the comments.
To do this we must use chain rule.
This will require us to know the derivative (w.r.t. x) of inside function, ax+b, and outside function, csc(x).
(ax+b)'=(ax)'+(b)'
(ax+b)'=a(x)'+0
(ax+b)'=a(1)+0
(ax+b)'=a
(csc(x))'=-csc(x)cot(x)
The chain rule states:
(f(g(x)))'=g'(x)×f'(g(x))
So our conclusion is:
(csc(ax+b))'=a×-csc(ax+b)cot(ax+b)
(csc(ax+b))'=-a csc(ax+b)cot(ax+b)
3x - 4y = 19; 8x + y = 12
Are the equations parallel, perpendicular, or neither
Step-by-step explanation:
Hey, there!
Let's check whether the lines are parallel, perpendicular or neither.
Fistly let's check of parallel ,
Let me tell you when two st. lines are paralle, then their slope are equal.
Given equation are,
3x - 4y = 9.........(i)
8x+y = 12 ..........(ii)
Now,
From equation (i)
[tex]slope \: (m1) = \frac{ - coffe. \: ofx}{coffe. \: of \: y} [/tex]
[tex]\: slope \: (m1) = \frac{ - 3}{ - 4} [/tex]
[tex]therefore \: slope \: (m1) = \frac{3}{4} [/tex]
now, again slope from equation (ii).
[tex]slope(m2) = \frac{ - coffe.of \: x}{coffe. \: of \: y} [/tex]
[tex]slope \: (m2) = \frac{ - 8}{1} [/tex]
Therefore, the slope of equation (ii) is -8.
Since, Their slopes are not equal, they are not parallel.
Now, let's check for perpendicular,
To be perpendicular, slope (m1)× slope (m2)= -1
now,
[tex] = \frac{3}{4} \times - 8 [/tex]
= 3×-2
= -6.
So, the equations are neither parallel nor perpendicular.
Hope it helps...
15. Solve the compound inequality.
5x - 11 < -11 or 4x + 2 > 14
Answer:
Step-by-step explanation:
5x −11+11<-11+11
5x<0
5x/5<0/5
x<0
4x+2 -2 >14 -2
4x>12
4x/4>12/4
x>3
there both open not closed
hope this helps
Which real-world scenario involves a right triangle? a triangular bathroom tile with side lengths of 6 inches, 8 inches, and 12 inches a triangular bike path with lengths of 5 miles, 12 miles, and 13 miles a triangular plot of land with side lengths of 10 yards, 10 yards, and 15 yards a triangular street sign with side lengths of 3 feet, 3 feet, and 3 feet
Answer:
The bike path
Step-by-step explanation:
A right triangle has a hypotenuse that can be found using the formula
a^2 + b^2 = c^2 where c is the hypotenuse
The street sign is obviously not correct because a hypotenuse is longer than the sides. The bathroom tile isn't correct either because 6^2 + 8^2 = 100, or 10 after you take the square root. That leaves the bike path.
Checking to make sure:
5^2 + 12^2 = c^2
25 + 144 = √169
√169 = 13
The scenario from the given scenarios involving a right triangle is: "A triangular bike path with lengths of 5 miles, 12 miles, and 13 miles", as the sides satisfy the Pythagoras theorem.
When do three given line segments form a right triangle?Any three line segments can form a right triangle only when they satisfy the Pythagoras Theorem, according to which, the square of the largest side in a right triangle is equal to the sum of the squares of the other two sides, that is, a² = b² + c², where a is the largest side, and b and c are the two other sides.
How to solve the given question?In the question, we are asked to identify from the given scenarios, the case that involves a right triangle.
We know that for three segments to be a right triangle, they need to satisfy the Pythagoras Theorem. So we check every scenario with the theorem:
A triangular bathroom tile with side lengths of 6 inches, 8 inches, and 12 inches: This is not a right triangle as it doesn't satisfy the Pythagoras theorem as (12² = 144) ≠ (6² + 8² = 36 + 64 = 100).A triangular bike path with lengths of 5 miles, 12 miles, and 13 miles: This is a right triangle as it satisfies the Pythagoras theorem as (13² = 169) ≠ (12² + 5² = 144 + 25 = 169).A triangular plot of land with side lengths of 10 yards, 10 yards, and 15 yards: This is not a right triangle as it doesn't satisfy the Pythagoras theorem as (15² = 225) ≠ (10² + 10² = 100 + 100 = 200).A triangular street sign with side lengths of 3 feet, 3 feet, and 3 feet: This is not a right triangle as it doesn't satisfy the Pythagoras theorem as all the sides are equal, so it is an equilateral triangle.∴ The scenario from the given scenarios involving a right triangle is: "A triangular bike path with lengths of 5 miles, 12 miles, and 13 miles", as the sides satisfy the Pythagoras theorem.
Learn more about the Pythagoras Theorem at
brainly.com/question/231802
#SPJ2
please help! find x and y
Answer:
Step-by-step explanation:
[tex]\dfrac{3+x}3=\dfrac{20}5\\\\3+x = 4\cdot3\\\\x=12-3 \\\\x= 9[/tex] [tex]\dfrac{4+y}4=\dfrac{20}5\\\\4+y= 4\cdot4\\\\y=16-4 \\\\y=12[/tex]
[tex]\dfrac{3+x+u}3=\dfrac{60}5\\\\3+9+u=12\cdot3\\\\u=36-12 \\\\u=24[/tex] [tex]\dfrac{4+y+v}4=\dfrac{60}5\\\\4+12+v=12\cdot4\\\\v=48-16 \\\\v=32[/tex]