The desert temperature, h, oscillates daily between 40°f at 5am and 80°f at 5pm. write a possible formula for h is - [tex]H(t) = -20 cos \frac{pi}{12} t + 60[/tex]
y = A cos[B(x-C)] + D, where
A = amplitude,
period = 2π / |B|
C = Phase shift
D = vertical shift
Amplitude = (Max value - Min value) / 2
Amplitude = 80 - 40 / 2
Amplitude = 20
24 = 2π / |B|
B = π / 12
vertical shift = Max value + Min value / 2
D = 80 + 40 / 2
D = 60
Since the temp. is min. at t = 0, we will use negative cosine.
H(t) = -20 cos(π t/ 12) + 60
∴ Our required equation will be - [tex]H(t) = -20 cos \frac{pi}{12} t + 60[/tex]
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Jane has a carton of orange juice.
The carton is in the shape of a cuboid.
20cm-
6cm
10 cm
The depth of the orange juice in the carton is 8 cm.
Jane closes the carton.
Then she turns the carton over so that it stands on the shaded face.
Work out the depth, in cm, of the orange juice now.
The new depth of the orange juice is now 4cm
Calculating VolumeFrom the question, we are to calculate the depth of the orange juice after Jane turns the carton
First, we will determine the volume of orange juice in the carton.
The volume of orange juice in the carton = 10 cm × 6 cm × 8cm
Volume of orange juice in the carton = 480 cm³
Now, we will determine the depth of the orange juice when the carton stands on the shaded face
If carton stands on the shaded face,
The length becomes 20 cm
and
The width becomes 6 cm
Let the new depth of the orange juice be h
Then,
We can write that
480 = 20 × 6 × h
480 = 120 × h
h = 480/120
h = 4 cm
Hence, the new depth of the orange juice is now 4cm
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how to solve? …………….
Solution:
[tex]3(2x+3)[/tex]
Hope this helps!
which of the following statements is not correct? fewer students in the sample listed volleyball as their favorite sport than football. more students in the sample listed lacrosse as their favorite sport than basketball. more students in the sample listed basketball as their favorite sport than volleyball. the highest percentage of teenagers in the sample listed soccer as their favorite sport.
The highest percentage of teenagers in the sample listed soccer as their favorite sport. this option is correct .
What does a statistical pie chart mean?
A pie chart, often known as a circle chart, is a visual representation of the various values of a specific variable or a means to summarize a set of nominal data (e.g. percentage distribution). This kind of chart consists of a circle with numerous segments. A certain category is represented by each segment.Pie charts are circular charts with segments that each indicate a value and are used in data handling. Pie charts have portions (or "slices") that depict varying sizes of values. For instance, an entire class is represented by the circle in this pie chart.In this question pie chart is showing data of games .
So. by observing the chart we can say that ,
the highest percentage of teenagers in the sample listed soccer as their favorite sport.
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the accompanying histogram shows the life expectancies at birth for 190 countries as collected by an international health agency. a) describe the shape. b) how many modes does the histogram have?
A)- The distribution is skewed left.
B)- The histogram has one mode, at 74 to 76 years.
What is histogram?The distribution of numerical data is roughly shown by a histogram. Karl Pearson is credited with coining the phrase. The first stage in creating a histogram is to "bin" (or "bucket") the range of values, or split it into a series of intervals, and then count how many values fall into each interval. The bins are often defined as a series of discrete intervals that don't overlap. Histograms provide a general idea of the density of the underlying distribution of the data, and are frequently used for density estimation: estimating the probability density function of the underlying variable. The bins (intervals) must be adjacent and are frequently (but not always) of equal size.
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Can someone help me with these? ASAP please
a. Length of AB = 7 units
Length of CDS = 3 units
Line segment AB and line segment CD are not congruent.
b. Length of AB = 7 units
Length of CD = 7 units
Line segment AB and line segment CD are congruent.
c. Length of AB = 9 units
Length of CD = 7 units
Line segment AB and line segment CD are not congruent.
How to Find the Length of a Segment?Given two points on a coordinate plane, where the two points are on a horizontal or vertical line, the distance between the two points is the absolute difference between their coordinates.
a. Given:
A(10, -4)
B(3, -4)
C(-1, 2)
D(-1, 5)
Length of AB = |10 - 3| = |7|
Length of AB = 7 units
Length of CD = |5 - 2| = |3|
Length of CDS = 3 units
Line segment AB and line segment CD are not congruent.
b. Given:
A(-5, 6)
B(-5, -1)
C(-4, 3)
D(3, 3)
Length of AB = |6 - (-1)| = |7|
Length of AB = 7 units
Length of CD = |-4 - 3| = |-7|
Length of CD = 7 units
Line segment AB and line segment CD are congruent.
c. Given:
A(8, 3)
B(-1, 3)
C(5, 10)
D(5, 3)
Length of AB = |8 - (-1)| = |9|
Length of AB = 9 units
Length of CD = |10 - 3| = |7|
Length of CD = 7 units
Line segment AB and line segment CD are not congruent.
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PLEASE HELP FAST
Which ordered pair is a solution to the system of inequalities?
Answer:
2. (-2, -3)...............
Approximate √18 to the nearest tenth and plot
the number on a number
line.
Answer: 4.2
Step-by-step explanation:
√18=
4.24=
4.24=4.2
The function g is defined as follows
g(x)=2x^2-7
If the graph is translated vertically downward by 3 units, it becomes the graph of a function h
FIND THE EXPRESSION OF h(x)
H(X)=
Here is how the function g is defined.
g(x)=2x²-7 The graph becomes the graph of a function h if the graph is translated vertically downward by 3 units. The function of h(x)=2x²-4.
Given that,
Here is how the function g is defined.
g(x)=2x²-7
The graph becomes the graph of a function h if the graph is translated vertically downward by 3 units.
We have to find the function of h(x).
Translation of the quadratic function.
A quadratic function is presented in the form where in its standard form.
f(x)=a(x-h)²+k
Where (h,k) are the vertex. This form is also referred to as the vertex form of a quadratic function because the vertex occurs in the quadratic function's standard form.
h(x)=g(x)+k
Where g(x)=2x²-7 and k=3
h(x)=g(x)+3
h(x)=2x²-7+3
h(x)=2x²-4
Therefore, the function of h(x)=2x²-4.
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j² 5k for j = -4 and k = -1
Answer: -80
Step-by-step explanation:
j = -4 and k = -1
j² 5k=
5kj²=
5(-1)(-4)²=
-5(16)=-80
multiple choice question. with explanation needed.
Answer: 4
Step-by-step explanation:
Suppose two cars depart from a four-way intersection at the same time, one heading north and the other heading west. The car heading north travels at the steady speed of 40 ft/sec and the car heading west travels at the steady speed of 64 ft/sec.
When are the two cars 1 mile apart? (Round your answer to one decimal place.)
answer in seconds
50.76922
after 50.8 seconds because
50.76922*40 +50.76922*64= 5279.99 which rounds to the admit if feet in a miles
URGENT!! ILL GIVE BRAINLIEST! 100 POINTS
Maria wanted to bring back 5 million grams of sand from her trip to the beach. Each grain of sand weighs approximately 6.7 x 10^-7 kg. How heavy is the bag of sand that Maria brings home?
Answer:
3.35kg
Step-by-step explanation:
Answer:
Multiply (5,000,000 x 6.7 x 10^-7) = (5 x 10^6) x (6.7 x 10^-7) = (5 x 6.7) x (10^(6 + - 7)) = 33.5 x 10^-1 = 3.35 kg
Step-by-step explanation:
HELP!!!! Michelle is having a poster printed from a picture that is 4 inches wide by 6 inches tall. The enlarged poster is 20 inches wide and 30 inches tall. Which proportion can be used to represent the picture sizes?
StartFraction 6 over 4 EndFraction = StartFraction 20 over 30 EndFraction
StartFraction 4 over 6 EndFraction = StartFraction 20 over 30 EndFraction
StartFraction 4 over 6 EndFraction = StartFraction 30 over 20 EndFraction
StartFraction 4 over 30 EndFraction = StartFraction 6 over 20 EndFraction
Answer:
4 over 6 = 20 over 30
Step-by-step explanation:
it's the same poster but enlarged to be bigger proportionally. So to get 20 from 4 and 30 from 6 you have you multiply by 5. it's a 5 times bigger poster
hello ! how's you're day, I hope it's doing good Im proud of ur work !
Answer:
thanks, I needed That
Step-by-step explanation:
brainliest
Write down the inequality described by "negative three groups of x is less than two", and solve for x
Answer:
- 3x < 2
x < - 1
Explanation and Check part below
Explanation and Check part belowHope this helps :)
Step-by-step explanation:
1. To solve, first isolate the variable by doing the inverse operation which is in this case dividing by - 3 on both sides of the equation.
- 3x < 2
- 3 -3
x < - 1
2. Graph it if needed with an open dot because - 1 is not part of the set of solutions.
<--------○
<----l----l-----l----->
-2 -1 0
Check:
1. Substitute x with any number less than - 1 and solve.
- 3 (- 2) < 2
-6 < 2
True statement.
Estimate the square root to the nearest tenth. √489
Answer: 22.1
Step-by-step explanation:
Answer:
22
Step-by-step explanation:
|r|=-2 can i have some help with this
Answer:
Yes, is there more to the question?
Step-by-step explanation:
Al caer la tarde, la temperatura en seattle era de 7 C. A medianoche ‘ la temperatura había caído 15C cual era la temperatura a media noche
Answer:
hh jkj
Step-by-step explanation:
Answer:
al la trade la temperature en Seattle
Era de 7c a medical
Step-by-step explanation:
Several batches of stew were made yesterday. Each batch required 1 and two-thirds pounds of meat. All together, 10 and StartFraction 5 over 6 EndFraction pounds of meat was used. Janice tried to find the number of batches of stew made. Her work is shown below.
Answer:
Step-by-step explanation:
Answer:
no of batches of street made is 2345
srry i don't know
Step-by-step explanation:
f(c)=3c-8
g(c)=√14-c
Evaluate.
(fog)(-11) =
Answer: f(g(-11)) = out -23
Step-by-step explanation:
The value of the composite function (fog)(-11) is 3√14 - 41.
What is a composite function?When the output of one function is given to the input of another function they are called composite functions.
In (fog)x which is [f{g(x)}] here the out of the function g(x) is the input of the function f(x).
Given, Are two functions f(c) = 3c - 8 and g(c) = √14 - c.
Now, We know that (fog)(c) is the output of g(c) is in the input of f(c).
So, g(-11) = √14 - 11.
Therefore,
(fog)(-11) = 3(√14 - 11) - 8.
(fog)(-11) = 3√14 - 33 - 8.
(fog)(-11) = 3√14 - 41.
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Example 8
A school received a shipment of laptops and tablets purchased for $35,100 for their new
computer lab. Each tablet cost $375 and each laptop cost $850. If the school ordered 3 times as
many laptops as tablets, then which of the following is the number of laptops in the shipment?
The shipment contained 12 tablets and 36 laptops.
What is an equation?An equation is used to show the relationship between numbers and variables. An equation can be linear, quadratic depending on the degree.
Let x represent the number of tablets and y represent the laptop.
Each tablet cost $375 and each laptop cost $850, hence:
375x + 850y = 35100 (1)
Also:
y = 3x (2)
From both equations:
x = 12, y = 36
The shipment contained 12 tablets and 36 laptops.
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5(6+5v)+5(-8-4v) pls explain how to do this
Answer:
-10 + 5v
Step-by-step explanation:
5(6 + 5v) + 5(-8 - 4v)
We distribute first
30 + 25v -40 - 20v
Then we can combine like terms: 30 plus (-40) is -10. 25v plus (-20v) = 5v.
-10 +5v
If a patient drank 1/2-pint of apple juice and received 1 L via IV, what is the total amount of
fluids, in mL, they took in?
The total volume of fluid that the patient takes in is:
V = 1284.13 mL
What is the total amount of fluids, in mL, they took in?
We need to add the total volume of liquid that the patient consumes.
First, we need to rewrite both volumes in mL, remember that:
1 pint = 568.26 mL
Then for the 1/2-pint of apple juice:
1/2 pint = (1/2)*568.26 mL = 284.13 mL
And:
1L = 1000L
For the liter we have:
1 L = 1000ml
Then the total volume of fluid that the patient takes in is:
V = 284.13 mL + 1000ml = 1284.13 mL
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Does the following expression have a value greater than 2? - 3+ (+4) +2
Yes, the resulting value of the expression is 3 which is greater than 2.
Expression:
Expression is defined as a combination of terms that are combined by using mathematical operations such as subtraction, addition, multiplication, and division.
An expression contains the following:
Constant: A constant is a fixed numerical value.
Variable: A variable is a symbol that doesn't have a fixed value.
Term: A term can be a single constant, a single variable, or a combination of a variable and a constant combined with multiplication or division.
Coefficient: A coefficient is a number that is multiplied by a variable in an expression.
Given,
Expression = -3 + (+4) + 2
Here we need to check the resulting value of the expression is greater than 2 or not.
For that, first we have to simplify the given expression,
Then,
=> -3 + ( 4 + 2)
=> -3 + 6
=> 3
Now, we have know that 3 is greater than 2.
So, the expression is greater than 2.
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solve for x - please help.
Answer:
x =20°
Step-by-step explanation:
since both sides are equal
3x° = (5x-40°)
3x = 5x - 40°
CLT( collect like terms)
40°= 5x - 3x
40° = 2x
40°/2= 2x/2
20° = x
therefore x =20°
There are 140 cars in a parking lot. Keisha looks at 15 cars and sees that two of them are red. Aproximately, how many red cars are in the parking garage?
a cookie store is running a new special for their grand opening they charge $10 for any number of cookies between 1 and 10 they then charge $20 for any number of cookies between 11 and 20 lastly for orders over 20 cookies they charge $20 plus a fee of $0.50 for each additional cookie past $20
A) write the piecewise function for this company’s sales model
B) how much would an order of 17
Cookies cost
C) how much would a order of 25 cookies cost
D) what does the equation f(100)=60 mean in this context
Answer:A) write the piecewise function for this company’s sales model
B) how much would an order of 17
Cookies cost 20$
C) how much would a order of 25 cookies cost 22.5
D) what does the equation f(100)=60 mean in this context
Step-by-step explanation: I am sorry but I only know the answers to b and c I hope that I help for those parts. :(
b. Find the change in temperature if the temperature rises from -18°F to 15°F.
The change in temperature is 33°F.
According to the question we have been given that there are two temperature readings which are, -18°F and 15°F.
We need to find the change in temperature that is we need to find the difference. And for that we will use distance formula.
The formula to find the distance between the two numbers p and q is
= |p-q|
Here , p = -18°F and q = 15°F
Putting the required values in the above formula we get
= |-18 - 15| °F
= |-33| °F
= 33°F
Hence the change in temperature is 33°F.
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solve the equation t/4 = -6
Answer:
t = -24
Step-by-step explanation:
[tex]\frac{4t}{4}=4\left(-6\right)\\t=-24[/tex]
9. Bus A arrives every 12 minutes and Bus B arrives every 15 minutes. Both buses arrive
together at 9am, what time do they next arrive together
============================================================
Explanation:
12 = 3*4
15 = 3*5
The GCF of 12 and 15 is 3
LCM of x and y = (x*y)/(GCF of x and y)
LCM of 12 and 15 = (12*15)/(GCF of 12 and 15)
LCM of 12 and 15 = (12*15)/(3)
LCM of 12 and 15 = 60
-------------------
We can confirm this by listing out the multiples of each
multiples of 12 are: 12, 24, 36, 48, 60, 72, ...
multiples of 15 are: 15, 30, 45, 60, 75, ...
-------------------
Since the LCM is 60, this means their schedules line up every 60 minutes, aka 1 hour.
If they arrive together at 9 AM, then their next arrival time together is 10 AM which is the final answer.