Answer:
ion kno
Step-by-step explanation
ssa
-8y + 1 = -9y. solve for y.
Ned had 76 boxes. together the boxes weighed 723 kilograms. About how much did each box weigh
Answer: ~9.51 kilograms each.
Step-by-step explanation: 723/76=9.5131
solve the following equation. Enter your answer as an integer, decimal or fraction.
Answer:
x = 5 or × = -7/2
Step-by-step explanation:
I hope you get it good luck.
The height, h, in feet of the tip of the hour hand of a wall clock varies from 9 feet to 10 feet. Which of the following equations can be used to model the height as a function of time, t, in hours? Assume that the time at t = 0 is 12:00 a. M. H = 0. 5 cosine (StartFraction pi Over 12 EndFraction t) 9. 5 h = 0. 5 cosine (StartFraction pi Over 6 EndFraction t) 9. 5 h = cosine (StartFraction pi Over 12 EndFraction t) 9 h = cosine (StartFraction pi Over 6 EndFraction t) 9.
The motion of the hour hand of a clock is a periodic motion that repeats every 12 hours.
The equation that can be used to models the height as a function of time, based on the given options, is presented as follows; [tex]\displaystyle \underline{ H = 0.5 \cdot cos \left(\frac{\pi}{6} \cdot t \right) + 9.5}[/tex]Reasons:
The given parameters are;
The variation of the height of the tip of the hour hand = 9 feet to 10 feet
At t = 0, the time = 12.00 a.m.
Required: The equation that can be used to model the height as a function of time.
Solution:
The general form of the cosine function is presented as follows;
y = a·cos(b·x - c) + d
The amplitude = a
[tex]\displaystyle a = \mathbf{ \frac{Maximum \ value -Minimum \ value}{2}}[/tex]
Therefore;
[tex]\displaystyle a = \frac{10 -9}{2} = 0.5[/tex]
b = The cycle speed
The period, T, is given as follows;
[tex]\displaystyle T = \mathbf{ \frac{2 \cdot \pi}{b}}[/tex]
The period of a block, T = 12 hours
Therefore;
[tex]\displaystyle b = \frac{2 \cdot \pi}{T}[/tex]
[tex]\displaystyle b = \frac{2 \cdot \pi}{12} = \mathbf{ \frac{ \pi}{6}}[/tex]
[tex]\displaystyle d = \mathbf{ \frac{Maximum \ value +Minimum \ value}{2} = \frac{10 + 9 }{2}} = 9.5[/tex]
At t = 0, H = The highest point = 10 ft.
Which gives;
[tex]\displaystyle H = \mathbf{0.5 \cdot cos \left(\frac{\pi}{6} \times 0 -c\right) + 9.5} = 10[/tex]
[tex]\displaystyle cos \left( -c\right) = \frac{0.5}{0.5} = 1[/tex]
-c = arcos(1) = 0
-c = 0
c = 0
The equation is therefore;
[tex]\displaystyle H = \mathbf{0.5 \cdot cos \left(\frac{\pi}{6} \cdot t \right) + 9.5}[/tex]
The above equation is the same as; H = 0.5cosine (StartFraction pi Over 6 EndFraction t) + 9.5
Learn more about the cosine function here:
https://brainly.com/question/4458343
https://brainly.com/question/24368105
Serious help needed what is the domain and range
Answer:
domain: all real numbersrange: -1 ≤ y ≤ 5 or -1 ≤ y < ∞Step-by-step explanation:
The arrows on the ends of the graph mean the graph extends indefinitely left and right. The domain is the horizontal extent of the graph, so it extends from -∞ to +∞, all real numbers.
__
The upward slant of the graph at the ends is ambiguous regarding the vertical extent of the graph. It could mean either of ...
the graph oscillates indefinitely between the values -1 and +5, orthe graph continues upward toward +∞We expect the latter case would be drawn with the ends of the arrows above the peak value shown. However, oscillation tends to involve a certain symmetry, and the graph has no symmetry about the local minimum points. In short the usual clues to the vertical extent are missing. Your guess is as good as mine.
The range could be [-1, 5], or it could be [-1, ∞). We cannot tell from this graph.
_____
Additional comment
The shape of the graph does not seem to match that of a 4th-degree polynomial, so we're not at all certain what sort of function is being plotted here. (A 4th-degree polynomial gets steeper beyond the outside zeros, rather than flatter, as shown here.) A couple of different functions with the approximate characteristics shown are graphed in the attachment.
Solve the following system of equations using the substitution method.
x = 2y
2x + 5y = 9
From the given system of equation x = 2y and 2x + 5y = 9, using the substitution method we get the value of y = 1.
What is a system of equations?A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.
Solutions to an equation are those values of the variables involved in that equation for which the equation is true.
We have given system of equation
x = 2y
2x + 5y = 9
Using the substitution method
2(2y) + 5y = 9
4y + 5y = 9
9y = 9
y = 1
Learn more about solving equations here:
https://brainly.com/question/18015090
#SPJ2
Three men can build a wall in 8 days. How long will it take them if they have the help of 2 boys? Assume that each boy works half as fast as each man.
(with explanation pls)
Answer:
6 days
Step-by-step explanation:
2 boys that each work half as fast as the men is equivalent to having one extra man. So instead of 3 men we have 4. 4/3 the manpower means 3/4 the time. 3/4 of 8 is 6.
Answer:
6 days.
Step-by-step explanation:
The 3 men can build 1/8 of a wall in 1 day.
So 1 man can build 1/24 wall in 1 day.
So 1 boy can build 1/48 in 1 day and 2 boys can build 1/24 wall in 1 day.
So we have the equivalent of 4 men working and they can build 4 * 1/24
= 1/6 of a wall per day
So the answer is 6 days.
Java 1
Question 20
What will be printed by the following code?
String str = "Have a nice day!";
System.out.println(str.length());
a. Have a nice day
b. 16
c. 13
d. Have
e. 4
Question 21
Examine this code:
String str = "Hello World!" ;
What is the index of the character 'W'?
a. 6
b. 7
c. 5
d. 8
e. 2
Answer:
Q20 b.16
Q21 a.6
Step-by-step explanation:
count charcters Have a nice day! ==16
Q21 why 6
because index start with 0 and not 1
just count
H ==> 0
e==> 1
l==> 2
.
.
W=>6
Find the equation of the linear function represented by the table below in slope-intercept form.
Answer:
y = 2x - 5
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (- 2, - 9) and (x₂, y₂ ) = (13, 21) ← 2 ordered pairs from the table
m = [tex]\frac{21-(-9)}{13-(-2)}[/tex] = [tex]\frac{21+9}{13+2}[/tex] = [tex]\frac{30}{15}[/tex] = 2 , then
y = 2x + c ← is the partial equation
To find c substitute any ordered pair from the table into the partial equation
Using (3, 1 )
1 = 6 + c ⇒ c = 1 - 6 = - 5
y = 2x - 5 ← equation of linear function
Help help help help help math
Answer:
8
Step-by-step explanation:
i need help with this!!!!
Answer: 2. 5.
Step-by-step explanation:
help me please jfjfjd
Answer:
10. y degree = 102 degree
11. x degree = 103 degree
Step-by-step explanation:
The formula to calculate the sum of the interior range of polygons is (n-2) * 180.
With n being the number of sides.
From that sum, you can then deduce the angles of y or x, by substracting the other angles.
10. n = 4 => ( 4 - 2 ) * 180 = 2 * 180 = 360 degree
y = 360 - 120 - 85 - 53 = 102 degree
11. n = 5 => (5 - 2) * 180 = 3 * 180 = 540 degree
x = 540 - 117 - 100 - 105 - 115 = 103 degree
How to expand Expand 7n-3+1-2n
Answer:
5n-2
Step-by-step explanation:
collect like terms
-> (7n-2n)+(-3+1)
simplify
=> 5n-2
h(x) = 4x + 3; Find h(1)
Answer:
h(1) = 7
Step-by-step explanation:
h(x) = 4x + 3
h(1) = 4(1) + 3
h(1) = 4 + 3
h(1) = 7
If 15 out of 25 students are boys,what percent of the class is made up of boys?
Answer: 6%
Step-by-step explanation:
4. Does the scatterplot have positive correlation, negative correlation, or no correlation?
Negative correlation
Positive correlation
No correlation
Answer:
Negative Correlation
Step-by-step explanation:
The plot looks like it's going downwards. If it was an equation, it'd be something with y = -x +b.
8. Which of the following equations represents
a line with a positive slope and a negative
y-intercept?
A. y = 3.5x
B. y = 7.5x – 2
C. y = 3x + 7
D. y = -5x -8
Answer:
d y=-5x-8
Step-by-step explanation:
Answer:
B. y = 7.5x – 2
Step-by-step explanation:
Any equation with a positive coefficient before the x is positive and the second value is the y - intercept.
choose the unit that measures distance
A. Feet
B. Pounds
C. Ounces
D. A.M
Answer:
Feet
Step-by-step explanation:
Evaluate: 4.3 - (-2.7)
7
1.6
-1.6
-7
Answer:
7
Step-by-step explanation:
That means 4.3 (2.7) = 7
The negative signs get removed because negative × negative = positive
The expression 2,500(1.095)x represents the value of an investment after x years. What is the meaning of the 2,500?
Answer:
The value of the investment
Step-by-step explanation:
what is 0.04 km, 420 cm, 4,600 mm, and 4.3 meters in order from least to greatest
Answer:
420 cm, 4.3 meters, 4600 mm, 0.04 km
Step-by-step explanation:
We can solve this by converting each to the same unit. I will be using meters.
0.04 km
1 km = 1000 meters
1000 meters / 1 km = 1
multiply 0.04 km by 1 = 1000 meters / 1 km , keeping the km at the bottom to cross out
0.04 km * 1000 meters / 1 km = 40 meters
420 cm
100 cm = 1 meter
1 meter / 100 cm = 1
multiply 420 cm by this, keeping cm at the bottom so it crosses out
420 cm * 1 meter / 100 cm = 4.2 meters
4600 mm
1000 mm = 1 meter
1 meter / 1000 mm = 1
4600 mm * 1 meter / 1000 mm = 4.6 meters
Therefore, our order is
420 cm, 4.3 meters, 4600 mm, 0.04 km
Express the following equation in slope intercept form: 8x-2y=10
please
Answer:
y=4x-5
Step-by-step explanation:
8x-2y=10
-8
-2y=-8x+10
-2= -2 -2
y=4x-5
PLEASEE HELPP!
Use the following figure to answer BOTH parts the question
(a) Describe in words a sequence of transformations that maps ∆ to ∆′′′.
(b) Write an ordered-pair rule for each transformation in the sequence.
Transformation involves changing the position of a shape
The sequence that maps ∆ABC to ∆A′B′C′ is reflection across the y-axis, followed by horizontal and vertical shiftsThe ordered pair rule is: [tex](x,y) \to (-x,-1,y-2)[/tex](a) The sequence that maps both triangles
From the figure the coordinates of both triangles are:
[tex]A = (-5,0)[/tex]
[tex]B = (-2,1)[/tex]
[tex]C = (-4,2)[/tex]
[tex]A' = (4,-2)[/tex]
[tex]B' = (1,-1)[/tex]
[tex]C = (3,0)[/tex]
Start by reflecting triangle ABC across the y-axis.
The rule of this transformation is:
[tex](x,y) \to (-x,y)[/tex]
So, we have:
[tex]A = (5,0)[/tex]
[tex]B = (2,1)[/tex]
[tex]C = (4,2)[/tex]
Next, translate the triangle 1 unit left and 2 units down
The rule of this transformation is:
[tex](x,y) \to (x,-1,y-2)[/tex]
So, we have:
[tex]A' = (4,-2)[/tex]
[tex]B' = (1,-1)[/tex]
[tex]C = (3,0)[/tex]
Hence, the sequence that maps ∆ABC to ∆A′B′C′ is reflection across the y-axis, followed by horizontal shift to the left by 1 unit, and vertical shift down by 2 units
(b) The ordered pair rule
In (a), we have:
[tex](x,y) \to (-x,y)[/tex] ---- reflection
[tex](x,y) \to (x,-1,y-2)[/tex] --- translation
Combine both transformations, so we have the following ordered pair:
[tex](x,y) \to (-x,-1,y-2)[/tex]
Hence, the ordered pair rule is: [tex](x,y) \to (-x,-1,y-2)[/tex]
Read more about transformation at:
https://brainly.com/question/22047495
please help me asap plz
Unit rate is the conversion of one unit to another unit with its standard conversion.
The width of the gymnasium in the blueprint is 4.75 inches.
What is unit conversion?Unit rate is the conversion of one unit to another unit with its standard conversion.
Example:
1 minute = 60 seconds
1 km = 100 m
1 m = 100 cm
1 feet = 12 inches
We have,
Gymnasium:
Length = 88 feet
Width = 76 feet ____(1)
Blueprint:
Gymnasium:
Length = 5.5 inches
This means,
88 feet = 5.5 inches
Divide both sides by 88.
1 feet = 0.0625 inches ____(2
The width of the gymnasium on the blueprint.
From (1) and (2)
76 feet
= 76 x 1 feet
= 76 x 0.0625 inches
= 4.75 inches.
Thus,
The width of the gymnasium in the blueprint is 4.75 inches.
Learn more about unit conversion here:
https://brainly.com/question/13899873
#SPJ2
As an incoming college freshman, Tina received a 10-year $9,900 Federal Direct
Unsubsidized Loan with an interest rate of 4.29%. She knows that she can begin making
loan payments 6 months after graduation but interest will accrue from the moment the funds
are credited to his account. How much interest will accrue while she is still in school and
over the 6-month grace period for this freshman year loan?
The amount charged on the loan which is the loan interest rate, increases as the time after the initial amount is credited into the account increases.
The interest on the Federal Direct Unsubsidized Loan after 4 years 6 months is $1,911.195Reasons:
The given parameter are;
Loan amount, the principal, P = $9,900
Duration of the loan = 10 years
Loan interest rate, R = 4.29%
Required:
The amount of interest that will accrue while she is still in school and over the 6-months grace period for the freshman loan.
Solution:
Based on a similar question on an online source, we have;
Interest, I = P × R × T
Where;
T = The time = The time the freshman is in school + 6 months
Therefore, normally, we have;
T = 4 years + 6 months = 4.5 years
R = 4.29% = 0.0429
Therefore;
Interest, I = 9,900 × 0.0429 × 4.5 = 1911.195
The interest that will accrue while she is still in school and over the 6-months grace period for the loan, I = $1,911.195
Learn more about the interest rate here:
https://brainly.com/question/1368015
pls help it's due today
Answer:
x = 5
y = 8.66
Step-by-step explanation:
I hope this helps!!
Match the vocabulary word with the correct definition,
1. coefficient
a number, a variable, or the product
of a number and variable(s)
a letter used to represent an
unknown number
The number in front of a variable in
2. constant
3. term
a term
a single term, multiple terms
connected by an addition or subtraction
sign
a number, a term containing no
4. variable
5. expression
variables
TURNITIN
NEXT QUESTION
READ NEXT SECTION
ASK FOR HELP
Answer:
Definitions matched below with vocabulary wordsStep-by-step explanation:
A number, a variable, or the product of a number and variable(s)
→ 3. termA letter used to represent an unknown number
→ 4. variableThe number in front of a variable in a term
→ 1. coefficientA single term, multiple terms connected by an addition or subtraction sign
→ 5. expressionA number, a term containing no variables
→ 2. constant1 5/6 ÷3/4 the first 1 is a mixed fraction so its one five by six
Answer:the answer is 22/9 or in mixed form would be 2 4/9 but in decimal it’s 2.4 but the 4 is repeated
given the line y=-2x - 1 and the point (4,4) find the equation of the line perpendicular to the given line
Answer:
y= (1/2)x + 2
Step-by-step explanation:
yeah-ya.......... right?
HELP!!!
‐6x – 1 = 23
Please do not just post the answer please explain how you got the answer. Whoever explains best gets brainliest!
Answer:
-4
Step-by-step explanation:
23+1=24
24/-6=-4