Answer:
1.42 m
Step-by-step explanation:
Each inch is 0.0254 meters, so 56 of them is ...
56(0.0254 m) = 1.4224 m ≈ 1.42 m
Write an equation in slope intercept form for the graph of the line.
Answer:
y = 2x - 3Step-by-step explanation:
Slope intercept form:
y = mx + b, where m - slope, b - y-interceptTake two points from the graph:
(2, 1) and (3, 3)Find the slope:
m = (3 - 1)/(3 - 1) = 2/1 = 2Find the y-intercept using point (2, 1) and the equation above:
1 = 2*2 + bb = 1 - 4b = -3The line is:
y = 2x - 3Answer:
Y = 2x - 3 or Y = 8/3x - 3
Step-by-step explanation:
Y = mx + b
we have a y intercept of -3 since the graph crosses the y axis only at -3 and it heads to y = 3 starting from the y intercept.
and thus we are 5 units away from 3 which is m = a/c = 8/3
m = 8/3
y = 8/3x - 3
it's either this or we'll simply plot the final and initial positions of x and y respectiveky. so m = 3-1/3-2 = 2/1 = 2
and so the equation would turn out to be -
y = 2x -3
Write the standard form of a polynomial functions whose zeros/roots are
4-3i, 4+3i
and has a lead coefficient of 1
Answer:
In other words, x = r x = r is a root or zero of a polynomial if it is a solution to the equation P (x) =0 P ( x) = 0.
Step-by-step explanation:
Sanam eats 5 almonds daily. How many almonds does she eat in 157 days?
Answer:
785 almonds
Step-by-step explanation:
157 x 5 = 785
A lecture hall has 50 seats. 43 seats are occupied and 7 seats are empty. Use this information to answer the questions below. CLEAR CHECK What fraction shows the proportion of empty seats? 7 50 What percent of seats were empty? %
Answer:
14% of the seats are empty
Step-by-step explanation:
7/50 = ?/100
50×2=100
so 7×2=?
?=14
14/100=14%
The percent of seats that are empty in the hall of 50 seats with 43 being occupied is; 14%
How to work with percentages?
We are given;
Total number of seats in hall = 50
Number of occupied seats = 43
Number of empty seats = 7
Now, we want to find the percent of seats were empty.
This is gotten by;
% of empty seats = (number of empty seats/total number of seast) * 100%
% of empty seats = (7/50) * 100%
% of empty seats = 14%
Read morer about Percentages at; https://brainly.com/question/843074
The same amount of trash is dumped into a landfill every day. The function below shows the total number of tons of trash n in the landfill after x days: n = 2000x 1000 What does the number 1,000 represent? Amount of trash originally in the landfill Amount of trash added to the landfill every day Rate at which the total trash increases every day Rate at which the new trash increases every day.
The number 1000 represents the amount of trash originally in the landfill.
Given that,
The same amount of trash is dumped into a landfill every day.
The function below shows the total number of tons of trash n in the landfill after x days:
n = 2000x + 1000
We have to determine,
What does the number 1,000 represent?
According to the equation,
The function is,
n = 2000x + 1000
The initial value of a function is defined as the started value of the function independent of any variables present in the function.
Here, n represent the amount of trash and x represents the number of days.
Therefore,
n = 2000x + 1000
In the equation 1000 is the number of days elapsed and 2000 represents the quantity of trash dumped each day.
Hence, The number 1000 represents the amount of trash originally in the landfill.
For more information about Equation refer to the link given below.
https://brainly.com/question/7383794
The correct answer would be A, the amount originally in the landfill.
HELP! I need answers to every question
At TGI Fridankay's you order a drink for $2.99, an appetizer for $9.99, the cajun chicken pasta for $11.50, and a desert for $7.99. You had amemeazing service and know that you are going to tip your waiter 20%! The waiter also gave you a 10% coupon to use. There is also a 7% sales tax on the bill. What is your total bill after the tip, discount, and tax?
Answer:
$24.48
Step-by-step explanation:
2.99+9.99+11.50+7.99/20/10/7 = $24.48
At time t= 0, a storage tank is empty and begins filling with water. For t > 0 hours, the depth of the water in the tank is increasing at a rate of W (t) feet per hour. Which of the following is the best interpretation of the statement W' (2) > 3?
a. Two hours after the tank begins filling with water, the depth of the water is increasing at a rate greater than 33 feet per hour.
b. Over the first two hours after the tank begins filling with water, the depth of the water is always increasing at a rate greater than 3 feet per hour.
c. Two hours after the tank begins filling with water, the rate at which the depth of the water is rising is increasing at a rate greater than 3 feet per hour per hour.
d. Over the first two hours after the tank begins filling with water, the rate at which the depth of the water is rising is always increasing at a rate greater than 33 feet per hour per hour.
The given function is the rate of change of the water depth. therefore,
W'(t) is the second derivative.
The correct option is; d. Two hours after the tank begins filling with water, the rate at which the depth of the water is rising is increasing at a rate greater than 3 feet per hour per hour.Reasons:
The volume of water in the tank is 0 at time t = 0 (the tank is empty)
The function that gives the rate at which the depth of water in the tank is
increasing at time t > 0 is W(t).
Where;
t = The time in hours
Therefore;
W'(t), the derivative of the function of the rate at which the water in the
tank is increasing in feet per hour is the rate of increase of W(t).
Which gives;
W'(2) = The rate of change of the rate at which the water level is rising (second derivative) two hours after begins to fill with water, per hour per hour.
Therefore;
W'(2) > 3 = Two hours after the tank begins filling with water, the rate at which the depth of the water is rising is increasing at a rate greater than 3 feet per hour per hour.Learn more about second derivative here:
https://brainly.com/question/10305010
PLEASEE HELPP I FORGOT HOW TO DO DIS !
The triangle has height 4.6 mm and its base has length 3.4 mm, so its area is
1/2 • 4.6 mm • 3.4 mm = 7.82 mm²
I’m in a rush and I need to find the answer quickly
Answer:
It would be
(1, -3) or D :]
What is the value of x in this equation? Enter your answer in the box.
(2.4 x 10^3) x (3 x 10^x) = 7.2 x 10^9
Answer:
6
Step-by-step explanation:
(2.4×10³)×(3×10^x)=7.2×10^9
(3x10^x)=(7.2×10^9)/(2.4×10^3)
3×10^x=3×10^6
10^x=10^6
*when bases are same ,powers are equated*
thus x=6
What is the slope of the line shown below?
2
03
O 1/3
Answer:
1/3
Step-by-step explanation:
the y increases by 3 in the line while at the same time x is increased by 1. x/y for slope, so itd be 1/3
Suppose you have a box with 3 blue marbles, 2 red marbles, and 4 yellow marbles. You are going to pull out one marble, record its color, remove it from the box and draw another marble. What is the probability of pulling out a red marble followed by a blue marble? The multiplication rule says to use P(red) P(blue).
Question: Describe the process of finding the probability of finding a red marble followed by a blue marble if the first marble was permanently removed?
Answer:
that is dependent event when you are taking out first marble permanently
Annie, Brianna & Carly are selling fruit boxes to raise money for their soccer team. All together the girls have sold 105 boxes of fruit. Carly has sold ten more than three times Brianna's sales. Brianna sold five more than Annie. How many boxes of fruit did Carly sell?
Step-by-step explanation:
Annie = x
Brianna = y
Carly = z
Now,
x + y + z = 105 ...(1)
Carly has sold ten more than three times Brianna's sales.
z = 10 + 3y ...(2)
Brianna sold five more than Annie.
y = 5 + x ...(3)
Now,
z = 10 + 3y
z = 10 + 3(5 + x)
z = 10 + 15 + 3x
z = 25 + 3x
Now,
x + y + z = 105
x + (5 + x) + 25 + 3x = 105
5x + 30 = 105
5x = 105 - 30
5x = 75
5x/5 = 75/5
x = 15
So,
y = 5 + x
y = 5 + 15
y = 20
Now,
z = 25 + 3x
z = 25 + 3(15)
z = 25 + 45
z = 70
Thus,
Annie Sold 15 boxes
Brianna Sold 20 boxes
Carly Sold 70 boxes
Write the integer from least to greatest. 4, 12, -12, -11
Answer:
-12, -11, 4, 12
Step-by-step explanation:
A negative number is less the higher it is, and a positive number is more the higher it is
What are objects that are 1 kg
Answer:
One liter of water.
A Pineapple.
A Bunch of Bananas.
A 1 liter bottle of water
Helppp it's due today
Answer:
x = 5 and y = 8.7
See attached image for working
Step-by-step explanation:
Since it's a right angle triangle you can use sin and cos.
can someone help me find the fa tor of (128m^2n^5 - 200m^4n^3)?
Answer:
[tex]8m^2n^3[/tex], [tex]4n-5m[/tex], and [tex]4n+5m[/tex]
Step-by-step explanation:
[tex]128m^2n^5-200m^4n^3[/tex] <-- Given
[tex]m^2(128n^5-200m^2n^3)[/tex] <-- Factor out m²
[tex]m^2n^3(128n^2-200m^2)[/tex] <-- Factor out n³
[tex]8m^2n^3(16n^2-25m^2)[/tex] <-- Factor out 8
[tex]8m^2n^3(4n-5m)(4n+5m)[/tex] <-- Difference of Squares
Therefore, the factors are [tex]8m^2n^3[/tex], [tex]4n-5m[/tex], and [tex]4n+5m[/tex]
so I got a question from khan I will give 50 points it is 16− 2r = -3r+ 6r +1
r= equals ?
Answer:
r = 1/11
Step-by-step explanation:
16r-2r = -3r+6r+1
14r = 3r+1 (combine like terms)
11r = 1
r = 1/11
(1-sin^2x) (1+tan^2x)=1
[tex]1 - sin {}^{2} x \times 1 + \tan( { }^{2} ) x = 1[/tex]
Prove that :
Please help i need the right one
[tex]\tt (1 - sin ^2x)\times(1+tan^2x) = 1[/tex]
L.H.S
[tex]\tt cos^2x \times sec^2x[/tex]
[tex]\tt cos^2x \times \frac{1}{cos^2x}[/tex]
[tex]\tt \cancel{ cos^2x} \times\cancel{ \frac{1}{cos^2x}}[/tex]
[tex]\tt 1[/tex]
R.H.S
Hence proved
Step-by-step explanation:
[tex]{ \tt{ \blue{(1 - { \sin}^{2}x )(1 + { \tan }^{2}x) = 1 }}}[/tex]
• Remember → 1 + tan²x = sec²x
[tex] = { \tt{ \blue{(1 - { \sin }^{2}x)( { \sec}^{2}x) }}}[/tex]
• But sec²x → 1/cos²x
[tex] = { \tt{ \blue{(1 - { \sin}^{2} x)( \frac{1}{ \cos {}^{2} x} )}} }\\ \\ = { \blue {\tt{ \frac{1 - { \sin }^{2}x }{ { \cos }^{2}x } }}}[/tex]
• Remember from the first identity of trignometry;
[ cos²x + sin²x = 1 ].
• Therefore: [ cos²x = 1 - sin²x ]
[tex] = { \blue{\rm{ \frac{1 - { \sin}^{2}x }{1 - { \sin }^{2}x } }}} \\ \\ { \rm{ \blue{= 1 \: }}}[/tex]
Hence proved.
How many negative integers $m$ satisfy the inequality $\dfrac{3}{m} \le -\dfrac27$?
Answer:
10
Step-by-step explanation:
The restriction m < 0 means we can multiply by -7m/2 without changing the direction of the inequality symbol
[tex]\dfrac{3}{m}\le-\dfrac27\\\\-\dfrac{21}{2}\le m\qquad m<0}[/tex]
Then the solution is the number of negative integer values between -10.5 and 0. There are 10 negative integer values of m that satisfy the inequality.
What is 7x + 15 = 9x + 15 - 2x + 1 and how many solutions are there
Answer:
no solutions
Step-by-step explanation:
7x + 15 = 9x + 15 - 2x + 1
Combine like terms
7x+15 = 7x+16
Subtract 7x from each side
7x+15-7x = 7x+16-7x
15 =16
This is not a true statement so there are no solutions
round to the nearest percent. from 64 photos to 21 photos
Answer: 71 percent
Step-by-step explanation:
64-21=43
43/64=.71
f (x) = 3 (x– 4)^2– 12
based on this value, select ALL that APPLY for the following function:
Answer:
see explanation
Step-by-step explanation:
Given a parabola in standard form
f(x) = ax² + bx + c ( a ≠ 0 )
Then the discriminant Δ = b² - 4ac informs us about the nature of the zeros
• If b² - 4ac > 0 then 2 real and irrational zeros
• If b² - 4ac > 0 and a perfect square then 2 real and rational zeros
• If b² - 4ac = 0 then 2 real and equal zeros
• b² - 4ac < 0 then zeros are not real
Given
f(x) = 3(x - 4)² - 12 ← expand factor using FOIL
= 3(x² - 8x + 16) - 12 ← distribute parenthesis by 3
= 3x² - 24x + 48 - 12
= 3x² - 24x + 36 ← in standard form
with a = 3, b = - 24 , c = 36 , then
b² - 4ac
= (- 24)² - (4 × 3 × 36
= 576 - 432
= 144 ← a perfect square
Then 2 zeros are real and rational and produce 2 x- intercepts
How would you find the slope and the y-intercept for the equation y=2.50x+2.50?
Answer:
Slope = m = 2.50
Y-intercept = b = 2.50
Step-by-step explanation:
Given equation is:
[tex]y=2.50x+2.50[/tex]
Comparing it with slope-intercept form of equation [tex]y = mx+b[/tex], where m is slope and b is y-intercept, we get:
Slope = m = 2.50
Y-intercept = b = 2.50
[tex]\rule[225]{225}{2}[/tex]
Hope this helped!
~AH1807A firm employs many clerical workers making near minimum wage salaries and a few executives making much higher
salaries, a report from this firm says in one place that a typical annual salary of an eemployee is $25,000 and in another
place that a typical salary is $30,000. Assuming one of these values is the mean annual salary and the other is the median
annual salary, which is which?.
Answer:
30000 is mean, 25000 is median
Step-by-step explanation:
Just a logical explanation
if you have a lot of people making 25000, then chance are you'll find that value in the middle, in assuming that the executives make a lot more
and with executives making a lot more, the mean is 30000
sources: Compare the mean and median of a data set that has a distribution that is skewed right. Answer: The mean will have a higher value than the median
expand and simplify (x-2)³
Step-by-step explanation:
(x-2)³ = (x-2) × (x-2) × (x-2)
(x-2) × (x-2) = x²-2x-2x + 4 = x² -4x + 4
(x² -4x + 4) (x-2) = x³ -2x² -4x² +8x +4x -8
x³ -6x² +12x - 8
first to solve right get brainlest
Two jets simultaneously started traveling in opposite directions from the same airport. Four hours later they were 3800 miles apart. Find the rate of each plane if one of them traveled 80 miles per hour faster than the other.
Step-by-step explanation:
the slower plane traveled x miles in 4 hours.
the faster plane traveled x + 4×80 = x + 320 miles in 4 hours.
so,
x + x + 320 = 3800 miles
2x =3480 miles
x =1740 miles (in 4 hours) .
that means the slower plane's speed was 435 mph.
and the faster plane's speed was 435 + 80 = 515 mph.
a man who is 1.6 m tall observes the angle of elevation of the top of a tower is 45°.if the height of the tower is 21 m,find the distance between the man and the tower.
Step-by-step explanation:
hope it will help you.....
