Answer:
= 1.583333 times per second
Step-by-step explanation:
Showing Work
This is a fraction equal to
95 times ÷ 60 second
We want a unit rate where
1 is in the denominator,
so we divide top and bottom by 60
95 times ÷ 60
60 second ÷ 60
=
1.583333 times
1 second
=
1.583333 times
second
= 1.583333 times per second
Let f(x)=x2 and g(x)=x−6. Find (f◦g)(−1).
Answer:
(f◦g)(−1) = -14
Step-by-step explanation:
First solve for g(x). g(x) = -1 - 6 = -7. Then plug -7 into f(x). f(x) = (-7)(2) = -14
As indicated below, write the equations of the line passing through the point (2, 2) and perpendicular to the line whose equation is y = x. Complete your work in the space provided. Part 1: Point-Slope form of the linear equation Part 2: Slope-intercept form of the linear equation Part 3: The general form of the linear equation
Answer:
Step-by-step explanation:
y = x
Slope of line = 1
Slope of perpendicular to line = -1
Point-slope equation for line of slope -1 through (2,2):
y-2 = -(x-2)
Slope-intercept equation:
y = -x + 4
Standard form:
x+y = 4
Which integer represents the statement "Drink descended 50 feet"?
Group of answer choices
-50
50
|50|
50 + -50
Answer:
-50
Step-by-step explanation:
If the drink is descending by 50 feet, hypothetically I would say that the drinks at 0 ft. so it would be -50
Answer:
-50
Step-by-step explanation:
Drink descended 50 fifty feet, "descended" in this case means subtraction or negative
Please help need ASAP
Answers:
side AT = 36.122997 (approximate)side TR = 14.692547 (approximate)angle T = 66 degrees===============================================
Explanation:
We'll use the cosine ratio to find side AT
cos(angle) = adjacent/hypotenuse
cos(A) = AR/AT
cos(24) = 33/AT
AT*cos(24) = 33
AT = 33/cos(24)
AT = 36.1229971906996
AT = 36.122997 approximately
---------------------------------
We could use the sine or tangent ratio to find side TR, but let's use the pythagorean theorem instead.
a^2 + b^2 = c^2
(AR)^2 + (TR)^2 = (AT)^2
33^2 + (TR)^2 = (36.1229971906996)^2
1089 + (TR)^2 = 1304.8709260393
(TR)^2 = 1304.8709260393 - 1089
(TR)^2 = 215.8709260393
TR = sqrt(215.8709260393)
TR = 14.6925466151821
TR = 14.692547 also approximate
---------------------------------
We could use any of the trig ratios of sine, cosine, or tangent to solve for angle T.
However, it's easiest to take advantage of the fact that angles A and T are complementary.
So,
A+T = 90
T = 90-A
T = 90-24
T = 66 degrees
This value is exact.
Help&EXPLAIN
Don’t use for points or will be reported and I’ll take the points back
Answer:
isoceles is the answer as MLN= MNL
OMG PLS— THIS IS DUE AT 8PM—
Answer:
so good
Step-by-step explanation:
so good
Which statement completes step 6 of the proof?
Coordinate plane with line f at y equals 3 times x plus 1 and line g at y equals negative one third times x plus 1. Triangle JKL is at J negative 1 comma negative 2, K 0 comma 1, and L 0 comma negative 2. Triangle J prime K L prime is at J prime negative 3 comma 2, K 0 comma 1, and L prime negative 3 comma 1.
Step 1 segment KL is parallel to the y-axis, and segment JL is parallel to the x-axis.
Step 2 ΔJKL was rotated 90° clockwise to create ΔJ'KL'. Point K did not change position, so it remains point K. Therefore, ΔJKL ≅ ΔJ'KL'.
Step 3 segment K L prime is perpendicular to the y-axis, and segment J prime L prime is perpendicular to the x-axis.
Step 4 segment JK lies on line f and has a slope of 3.
Step 5 segment J prime K lies on line g and has a slope of negative one third.
Step 6 ?
A. The product of the slopes of segment JK and segment J prime K is −1; therefore, lines f and g are perpendicular.
B. The slopes of segment JK and segment J prime K are congruent; therefore, lines f and g are parallel.
C. The product of the slopes of segment KL and segment K L prime is −1; therefore, lines f and g are perpendicular.
D. The slopes of segment KL and segment K L prime are congruent; therefore, lines f and g are parallel.
Answer:
a) the product of slopes of segment jk and segment j prime k is -1 therefore line f and g are perpendicular
Answer:
The product of the slopes of segment JK and segment J prime K is −1; therefore, lines f and g are perpendicular.
Step-by-step explanation:
Just took the test and its correct!! :)
Find the value of cos(2.78°) to the nearest hundredth.
Answer:
cos 2.78 = 1
Step-by-step explanation:
g = cst (solve for s)
Step-by-step explanation:
Simplifying
g = cst
Solving
g = cst
Solving for variable 'g'.
Move all terms containing g to the left, all other terms to the right.
Simplifying
g = cst
2. A new car depreciates as soon as you drive it out of the parking lot. A certain car depreciates to half its original value in 4 years. If you bought a car 8 years ago and it is now worth $5,000, how much did you pay for the car originally? *
Answer:
Step-by-step explanation:
HELP PLSSSSSS!!! answer all pls
Answer:
See below.
Step-by-step explanation:
STEP 1: If you write the given terms all with denominators of 16, they are 28/16, 25/16, 22/16, 19/16, __, ____, ____, 7/16, 4/16.
STEP 2: The terms decrease by 3/16 for each step.
RULE: Term 1 = 7/4 and term (n + 1) = term 'n' - 3/16
The operation for increasing by the same amount every step is addition.
The operation for decreasing by the same amount every step is subtraction.
STEP 3: The rule is that the terms decrease by 3/16 at each step.
So the next 3 terms after 19/16 will be 16/16, 13/16, and 10/16.
Reformat them and you have 1, 13/16, 5/8.
So now the completed sequence is 1&3/4, 1&9/16, 1&3/8, 1&3/16, 1, 13/16, 5/8, 7/16, 1/4.
4. The price of a sweater is $5 less than the price of the shirt. If four sweaters and
three shirts cost $200, find the cost of each shirt and sweater.
Answer:
Form an equation:
let x be the price of a shirt
Then, the price of a sweater would be x - 5
So you would have:
4(x - 5) + 3x = 200
simplify
4x - 20 + 3x = 200
7x - 20 = 200
add 20 to both sides
7x = 220
divide both sides by 7
x = about 31.43
That means the cost of the sweater would be 31.43 - 5 = 26.43
To solve the equation x + 5 = 3x - 4, Jasper graphs the equations f (x) = x + 5 and g(x) = 3x – 4. What is the solution to the equation
x + 5 = 3x – 4?
Answer:
4.5
Step-by-step explanation:
beginning- x+5=3x-4
combine like terms- 9=2x
divide- x= 4.5
The solution of equation is 4.5
What is Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
We have Equation
x +5 = 3x -4
Now, solving the equation for x we get
x+ 5 = 3x -4
x -3x = -4 -5
-2x = -9
x= -9/ (-2)
x= 9/2
x= 4.5
Thus, the solution of equation is 4.5
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rep viuen
Write two numbers that multiply to the value on top and add to the value on bottom.
-32
4
Answer:
8 and -4
Step-by-step explanation:
8*-4=-32
8+(-4)=4
What is the x intercept of y=4x-8
Answer:
the answer is 2
Step-by-step explanation:
0=4x-8
-4x=-8
x=2
Answer:
x=2
Step-by-step explanation:
the x intercept is where the graph intersects the x axis also called the root of the equation.
y=0 if the graph intersects the x-axis
0= 4x-8; add 8 to both sides
8 = 4x ; divide both sides by 4
2=x
The Spinner Is Spun 150 Times. What Is A Reasonable Prediction For The Number Of Times The Spinner Will Land On An Even Number
Answer:
50% or 75 times
Step-by-step explanation:
What is the discriminant of this equation?
3x2 + 8x = 0
Solve x/4−3/2=1/2 x=???
Answer:
x=8
Step-by-step explanation
x/4-3/2=1/2
x/4=1/2+3/2
x/4=4/2
x/4=2
x=2*4
x=8
Answer:
x=8
Step-by-step explanation:
Solve for x by simplifying both side of the equation,then isolate the variable
Eileen purchased a dishwasher for $750. It depreciates about 0.9% each year. What is the value of the dishwasher after seven years? (2 points) a $798.55 b $743.25 c $746.07 d $704.01
Depreciation formula: starting value x (1 - percent of decrease)^years
Change 0.9% to a fraction by dividing by 100:
0.9/100 = 0.009
750 x (1-0.009)^7
750 x 0.991^7 = $704.01
The answer is $704.01
A line that includes the point (10, 0) has a slope of
5
What is its equation in slope-intercept
form?
Write your answer using integers, proper fractions, and improper fractions in simplest form.
Submit
I need helppppppp !!!!!!! Due in 5 mins
9514 1404 393
Answer:
y = 1/5x -2
Step-by-step explanation:
When a point and slope are given, sometimes it is easiest to start with the point-slope form of the equation. Then it can be rearranged to the desired form.
y -k = m(x -h) . . . . . line with slope m through point (h, k)
y -0 = 1/5(x -10) . . . . . line with slope 1/5 through point (10, 0)
y = 1/5x -2 . . . . . . . eliminate parentheses to get slope-intercept form
_____
Note that the slope in the attached picture is 1/5, but your problem text says it is 5. Very different equations will result from these different slopes.
if your monthly salary is $2,543, what is your annual salary
I dont understand this at all, I need the right anwser and Explanation please.
Answer:
a = 7; b = ⁷/2
Step-by-step explanation:
Recall the acronym, SOHCAHTOA
We would apply trigonometric ratio formula in finding a and b.
Reference angle [tex] (\theta) [/tex] = 60°
Opposite side to the reference angle = [tex] \frac{7\sqrt{3}}{2} [/tex]
Adjacent side = b
Hypotenuse = a
✔️To find a, we would apply SOH, which is:
[tex] sin (\theta) = \frac{opp}{hyp} [/tex]
Plug in the values
[tex] sin (60) = \frac{\frac{7\sqrt{3}{2}}{a} [/tex]
[tex] \frac{\sqrt{3}}{2} = \frac{\frac{7\sqrt{3}{2}}{a} [/tex] (sin 60 = √3/2)
[tex] \frac{\sqrt{3}}{2} = \frac{7\sqrt{3}{2}*\frac{1}{a} [/tex]
[tex] \frac{\sqrt{3}}{2} = \frac{7\sqrt{3}{2a} [/tex]
Cross multiply
[tex] \sqrt{3}*2a = 7\sqrt{3}*2 [/tex]
[tex] 2a\sqrt{3} = 14\sqrt{3} [/tex]
Side both sides by √3
[tex] 2a = 14 [/tex]
Divide both sides by 2
a = 14/2
a = 7
✔️To find b, apply TOA, which is:
[tex] tan (\theta) = \frac{opp}{adj} [/tex]
Plug in the values
[tex] tan (60) = \frac{\frac{7\sqrt{3}{2}}{b} [/tex]
[tex] \sqrt{3} = \frac{\frac{7\sqrt{3}{2}}{b} [/tex] (tan 60 = √3)
[tex] \sqrt{3} = \frac{7\sqrt{3}{2}*\frac{1}{a} [/tex]
[tex] \sqrt{3} = \frac{7\sqrt{3}{2b} [/tex]
Cross multiply
[tex] \sqrt{3}*2b = 7\sqrt{3} [/tex]
[tex] 2b\sqrt{3} = 7\sqrt{3} [/tex]
Divide both sides by √3
[tex] 2b = 7 [/tex]
Divide both sides by 2
b = 7/2
50 percent of blank is 30
Answer:
50%of balnk is 30
the blank is 15 because
50x30/100 gives you what you don't have
so 50x30/100=15
The blank would be 15
Step-by-step explanation:
Mia used 1/7 of an ounce of nuts to make 1/5 of a cake. How many ounces of nuts are needed to make a whole cake?
Answer:
For this case we can apply the following proportional rule:
Step-by-step explanation:
1/7 nuts. x
------------ = ----------
1/5 cake. cake
and solving for x we got:
x = 1/7
------- = 5/7 nuts
1/5
then the answer for this case would be 5/7 nuts
your welcome
pls help 20 points asap
Answer:
The probability of rolling a 3 in a 6 number dice is 1/6. Thereafter, p of rolling a non 3 is 5/6.
Alternatively, A number cube (dice) has six sides labelled 1 through 6. Hence, a fair dice has a probability of 1/6 to land on any predetermined number 1 through 6. Therefore, to land on 3 the probability is 1/6
Explaination:
Rolling two six-sided dice: Each dice has 6 equally likely outcomes, so the sample space is 6×6 or 36 equally likely outcomes. Flipping three coins: Each coin has 2 equally likely outcomes, so the sample space is 2×2×2 or 8 equally likely outcomes.
how many solutions does the following system of equations have y=2x+2 & 2y=4x+4
Step-by-step explanation:
The answer is : Infinitely many solutions (because they lie in each other)
Help. I need to take sticky tack off my shoe. What do I do?
Answer:
Got any Brillo Pads? If not, I suggest scrubbing hard with an abrasive sponge and dish soap, preferably Dawn. WHAT DID YOU DOOO? lol
Step-by-step explanation:
Answer:
hot water and use a butter knife and dig it off
Step-by-step explanation:
get really hot water pour it on the bottom of ur shoe and use the knife to dig it off
hope this works it works for me
have a great day :)
also use dish soap
PLEASE HURRY‼️‼️‼️
A Lime bike charges $2 for
a flat fee plus $0.50 a
minute. A different bike
charges $3.80 for a flat
fee plus $0.20 a minute.
After how many minutes
(x), will the price (y) be
the same for both bikes?
Answer:
5 minutes
Explanation:
.5x + 2 = y
.2x + 3.8 = y
.5x + 2 = .2x + 3.8
-.2x -.2x
.3x + 2 = 3.8
-2 -2
.3x = 1.8
.3 .3
x = 5
After 5 minutes, both bikes will be at the same price.
Which is true about the polynomial –8m3 + 11m?
It is a trinomial with a degree of 3.
It is a trinomial with a degree of 3.
It is a trinomial with a degree of 2.
It is a trinomial with a degree of 2.
It is a binomial with a degree of 3.
It is a binomial with a degree of 3.
It is a binomial with a degree of 2.
Answer:
Binomial with a degree of 3
Step-by-step explanation:
-8m^3 + 11m....notice that it has 2 terms....(-8m^3) and (11m). Having 2 terms makes it a binomial...if it would have had 3 terms, it would have been a trinomial. If it has only one variable, the degree is the highest exponent...so this has a degree of 3 since ^3 is the highest exponent.
so the answer is : binomial with a degree of 3
The correct answer is: "It is a binomial with a degree of 3."
What is a polynomial?Polynomial is an equation written with terms of the form kx^n.
where k and n are positive integers.
There are quadratic polynomials and cubic polynomials.
Example:
2x³ + 4x² + 4x + 9 is a cubic polynomial.
4x² + 7x + 8 is a quadratic polynomial.
We have,
The polynomial -8m³ + 11m is a binomial with a degree of 3.
A polynomial is an expression consisting of variables and coefficients, where the variables are raised to non-negative integer powers and the coefficients are constants.
The degree of a polynomial is the highest power of the variable in the polynomial.
In this case,
The polynomial has two terms, or it is a binomial.
The highest power of "m" in the polynomial is 3, which means that the degree of the polynomial is 3.
Therefore,
The correct answer is: "It is a binomial with a degree of 3."
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divided 2) Ellie made $253 for 22 hours of work. She makes $11 per hour so Identify the error:
Answer:
Ellie should have made 253$ in 23 hours in time. If she worked for 22 hours, then she made 242$.
Step-by-step explanation:
253$ / 11$= 23 hours
22 hours X 11$= 242 hours