The value of the given task 0.8 million - 1.76 thousand is 798,240.
Place value0.8 million
= 0.8 × 1,000,000
= 800,000
1.76 thousand
= 1.76 × 1000
= 1,760
So,
0.8 million - 1.76 thousand
= 800,000 - 1,760
= 798,240
Therefore, 0.8 million - 1.76 thousand is 798,240
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A die is tossed three times. let X be the sum of the three numbers obtained.
Determine whether the random x has a binomial distribution if so take the number of trials n. If it doesn’t explain why.
Since for each trial there are more than two outcomes, the random variable x is not a binomial variable.
What is required for a binomial variable?
Three things are required:
In this problem, for each trial, there are six possible outcomes for the sum, hence the random variable x is not a binomial variable.
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Tommy starts walking from school to home at the same time that his Dad starts walking from home to school. They both depart at 3:00 p.m. Tommy is walking at a speed of 1.35 meters per second, and his Dad is walking at a speed of 1.65 meters per second. The distance between home and school is 720 meters. At what time will they meet?
Answer:
3:04
Step-by-step explanation:
see image
They will meet after 4 minutes from 3:00 p.m. So, they will meet at 3:04 p.m.
Let's find the time it takes for Tommy and his Dad to meet.
Let t be the time (in seconds) from 3:00 p.m. when they meet.
Tommy's distance covered (T) after t seconds is given by:
T = Tommy's speed * t
= 1.35 m/s * t
His Dad's distance covered (D) after t seconds is given by:
D = Dad's speed * t
= 1.65 m/s * t
Since they meet when the sum of their distances is equal to the total distance between home and school, we can write the equation:
T + D = 720 meters
Substitute the expressions for T and D:
1.35t + 1.65t = 720
t = 240 seconds
Since 1 minute is equal to 60 seconds, let's convert the time to minutes:
t = 240 seconds / 60 seconds/minute
t = 4 minutes
They will meet after 4 minutes from 3:00 p.m. So, they will meet at 3:00 p.m. + 4 minutes = 3:04 p.m.
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What is 1.54x10^28 not in scientific notification form
The expression 1.54x10^28 not in scientific notation form is 15400000000000000000000000000
How to rewrite the expression in scientific notification form?The expression is given as:
1.54x10^28
Evaluate the product
1.54x10^28 = 15400000000000000000000000000
Hence, the expression 1.54x10^28 not in scientific notation form is 15400000000000000000000000000
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please answer! thanks
Answer:
The third option. he didnt make a mistake
Step-by-step explanation:
Answer:
Gabi did not make a mistake.
Step-by-step explanation:
To find j, Gabi needs to multiply both sides of the equation by 10. 80*10 = 800, so therefore j = 800. Both steps are correct.
Whats the corect answer answer asap for brainlist
Answer:
water pollution or any one of them.
Step-by-step explanation:
Technically, these are all issues in the Netherlands.
However, based on a statista opinion chart of Netherland concerns, the biggest concern at the moment is pollution.
So, picking any of these might work because they are all issues - but I found that the environmental one is most likely to be correct.
Answer:
Water pollution
Explanation:
"Crime (48 percent) and environmental pollution (45 percent) are most often seen as (very) serious problems." - cbs
Art store sells packages to different sized square Picture frames the side length of the larger frame SX is modeled by the function SX equals three square root X minus one where X is the area of the smaller frame in square inches which graph shows us
Option A graph represents S(x).
What is a Function ?Function is a statement that relates tow variables.
It is given that
the side length of the larger frame S(x)
S(x) = [tex]\rm 3 \sqrt{x -1}[/tex]
X is the area of the smaller frame in square inches
A square root function is given by
s(x) = [tex]\rm \sqrt{x}[/tex]
when the graph is shifted towards right and stretched by 3 , due to which the graph is taller as compared to the parent graph and
Therefore Option A graph represents S(x).
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graph Y=-2x-3 and y=-x+6
See the graph in the attached image.
A shipping company must design a closed rectangular shipping crate with a square base. The volume is 2880ft3. The material for the top and sides costs $3 per square foot and the material for the bottom costs $7 per square foot. Find the dimensions of the crate that will minimize the total cost of material.
The dimensions of the crate that will minimize the total cost of material are 10, 10, and 29.
How to compute the dimension?The volume will be:
= Length × Width × Height
= lwh
For the square base, w = l
2880 = w²h
The cost function will be:
C = 12wl + 4wh + 4lh
Put l = w.
C = 12w² + 8wh
C = 12w² + 8w(2880/w²)
C = 12w² + 23040/w
Differentiate with respect to w
C'(w) = 0
24w = 23040/w²
24w³ = 23040
w³ = 960
w = 10 approximately
The length is 16 as well as they are the same. The height will be:
= 2880/w²
= 2880/10²
= 28.8 = 29
Therefore, the dimensions are 10, 10, and 29.
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21:28 simpleest form
Answer:
3:4
Step-by-step explanation:
If you divide both sides by 7, you shall get 3:4
Julia has a role in the school play. She recorded the amount of time she practiced her lines each day this week in the table below. On Tuesday, she practiced 2/3 of the time that she practiced on Wednesday. She practiced 5/6 hours on Wednesday.
Using proportions, it is found that the number of hours for which she practiced her role on Tuesday is:
[tex]\frac{5}{9}[/tex]
What is a proportion?A proportion is a fraction of a total amount, and the measures are related using a rule of three.
On Wednesday, she practiced 5/6 of an hour, and on Tuesday she practiced 2/3 of Wednesday's amount, hence the number of hours she practiced on Tuesday was of:
[tex]n = \frac{5}{6} \times \frac{2}{3} = \frac{10}{18} = \frac{5}{9}[/tex].
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You want to invest your money in an interest bearing account. One account earns 5% interest compounded twice annually and another account that earns 5% simple interest. Compare options and analyze which (if any) option is better. Explain how you arrived at your answer. Use numbers and calculations to provide evidence for your response. Answer in complete sentences.
The option that is better is that compounded twice annually with 61.5 interest than the simple interest for 60.
What is Simple Interest?Simple interest is the amount obtained from a money invested or loaned over a specific period of time with a specific interest rate.
Analysis.
Let the principal to be used be 600
Compound interest compounded annually twice, which means the tenor of interest is two years.
first year interest
I = PRT/100
P= 600, R = 5%, T = 1
I = 600 x 5 x 1/ 100 = 30
Principal for second year = principal first year + interest
= 600 + 30 = 630
interest for second year = 630 x 5 x 1/ 100 = 31.5
Compound interest = 30+31.5 = 61.5
For simple interest, duration is 2 years,
I = PRT/100
I = 600 x 5 x 2/100 = 60
In conclusion, The account that earns 5% compounded twice annually is the better one since it accrues more interest.
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If f(x) = 4x-x², find
square root f(3/2)
Answer:
[tex]\frac{\sqrt{15} }{2}[/tex]
Step-by-step explanation:
[tex]\sqrt{f(\frac{3}{2} )[/tex] , substitute [tex]\frac{3}{2}[/tex] to x
[tex]f(\frac{3}{2} )=4(\frac{3}{2} )-(\frac{3}{2} )^2[/tex] = [tex]\frac{15}{4}[/tex] or 3.75
[tex]\sqrt{f(\frac{3}{2} )[/tex]=[tex]\sqrt{3.75}[/tex] = [tex]\frac{\sqrt{15} }{2}[/tex]
use the m=y2-y1/x2-x1 to find the slope of the line that goes through each pair of points A.(5,7) and (-4,-2) B.(1,3) and (1,-10)
The required slope of A is 1 or Ф = 45° and for B is infinte or Ф = 90°
use the m=y2-y1/x2-x1 to find the slope of the line that goes through each pair of points A.(5,7) and (-4,-2) B.(1,3) and (1,-10)
What is slope?
slope is define as the angle at which line is inclined and for draw tangent over a curve.
m=y2-y1/x2-x1
For, A (5, 7),(-4, -2)
m=-2-7/-4-5
m=1
or TanФ=1
Ф = 45°
For, B(1, 3), (1,-10)
m=-10-3/1-1
m= ∞ or Ф = 90°
Thus the required slope of A is 1 or Ф = 45° and for B is infinte or Ф = 90°
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A satellite orbits earth at a speed of 14100 feet per second
(ft/s). Use the following facts to convert this speed to
miles
per hour (mph).
1 mile = 5280 ft
1 min = 60 sec
1 hour = 60 min
Answer:
≈ 9613.64 mph
Step-by-step explanation:
First we convert ft/s to ft/hr.
14100 ft/s*3600 = 50,760,000 ft/hr
Now we convert the feet to miles.
50,760,000 ft/hr ÷ 5280 ≈ 9613.64 mph
So in conclusion, 14100 ft/s is approximately 9613.64 mph.
The door on a model building is 2 inches tall. The door on the actual building is 8 feet tall.
What was the scale used?
01:24
Answer:
the scale factor is either 4 or 1/4 depending if you are going from the model to the actual or the actual to the model.
Step-by-step explanation:
s= scale factor
2s = 8 Divide both sides by 2
x = 4
If I do the other way:
8s = 2 Divide both sides by 8
s = 1/4
A storage bin has the shape of a cylinder with a conical top. What is the volume of the storage bin if its radius is
r
=
5.7
ft, the height of the cylindrical portion is
h
=
7.5
ft, and the overall height is
H
=
15.9
ft?
The volume of the storage bin given the radius and heights is 1050.79ft³.
What is the volume of the storage bin ?The volume of the storage bin is the sum of the volume of the cylinder and the cone. A cylinder is a three-dimensional object that is made up of a prism with a circular base.
Volume of a cylinder = πr²h
Where:
π = 3.14r = radiush = height3.14 x 5.7² x 7.5 = 765.14 ft³
A cone is a three dimensional object that tapers from its circular base to its apex.
Volume of a cylinder = 1/3πr²h
Where:
π = 3.14r = radiush = height : 15.9 - 7.5 = 8.4 ft1/3 x 3.14 x 5.7² x 8.4 = 285.65 ft³
Volume of the container = 285.65 ft³ + 765.14 ft³ = 1050.79ft³
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In the space provided, describe the similarities and differences between the seasonal changes of the oak tree in Florida and the oak tree in Maine make it Conclusions
subje
As a result of climatic peculiarities the seasonal changes of oak tree in Florida and oak in Maine are distinguished such that the differences are remarkably satisfactory.
What are the seasonal changes of the oak tree in Florida and the oak tree in Maine?We know that many oaks are native to Florida and some of the Florida oaks include;
Shumard oakWillow oakSouthern live oak.Northern red oaks can also be found in northern Florida. Some other oak trees in Florida include;
Black oakBluff oakChapman oakChinkapin oakLaurel oak.From the information above, we can conclude that as a result of climatic peculiarities the seasonal changes of oak in Florida and oak in Maine are distinguished such that the differences are remarkably satisfactory.
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Using the driver's speed in feet per second, how far did her car travel during her reaction time?Round your answer to two decimal places
The distance traveled by the driver during her reaction time based on her speed was 44 feet.
How far did the driver get during her reaction time?find the speed in feet per second to be:
= (40 x 5,280 feet per hour) / Number of seconds in an hour
= 211,200 / 3,600
= 58.67 feet per second
With a reaction speed of 3/4 seconds, the distance traveled is:
= 58.67 x 3/4
= 44 feet
Full question is:
The driver of a car traveling at a speed of 40 miles per hour had to stop the car quickly. Using the driver's speed in feet per second, how far did her car travel during her reaction time of 3/4 of a second?Round your answer to two decimal places
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Which graph shows the image of the triangle reflected across the line of reflection shown? On a coordinate plane, a triangle has points (2, 4), (4, 2), (9, 6). A line of reflection is at y = 3.
The triangle with points at (2, 4), (4, 2), (9, 6) was reflected across the line y = 3 to get the points (2, 2), (4, 4), (9, 0)
What is a transformation?Transformation is the movement of a point from its initial point to a new location. Types of transformation are reflection, rotation, translation and dilation.
The triangle with points at (2, 4), (4, 2), (9, 6) was reflected across the line y = 3 to get the points (2, 2), (4, 4), (9, 0)
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Please help word problems challenging for me
Answer:
36 Adult Tickets. 352 Student Tickets
Step-by-step explanation:
Firstly, we have to create 2 expressions to solve a problem like this. If we use the variable s to mean student and a to mean adult, we can create the expressions:
3s + 6a = 1272 to represent how much they made with all ticket sales
s = 10a - 8 to represent how many student tickets there are.
Now, we plug our definition of s into the first expression to get:
3(10a - 8) + 6a = 1272
30a - 24 + 6a = 1272
36a - 24 = 1272
36a = 1296
a = 36
We have determined the number of adult tickets so we can move on to the number of students:
s = 10(36) - 8
s = 360 - 8
s = 352
Question Solved
What is 2.75% as a fraction in simplest form
Hello,
2,75 % = 2,75/100 = (2,75 × 100)/(100 × 100) = 275/10000 = 11/400
Giving brainliest to first correct answer
Answer:
C
Step-by-step explanation:
The area of a rectangle is lw or length * width.
We can add the parts to make up the whole of each side.
Thus, for the entire width, we have 4x+3 and for the entire length we have 8 + 5x.
To solve for area in terms of x, we just multiply our width and length, which gives us:
[tex](4x+3)(8+5x)\\32x+20x^2+24+15x\\20x^2+47x+24[/tex]
A meal consists of an appetizer, a main dish, a side dish, and a drink. There are 3 appetizer choices, 6 main dish choices, 5 side dish choices, and 4 drink choices. Describe two ways you could find the number of possible combinations. Choose one of the methods to find the answer, and explain your choice.
1) You can find the number of possible methods through a tree diagram or the fundamental counting principles.
2) The total number of combinations is 360
What is the tree diagram and the fundamental counting principles all about in finding the total number of combination?To find the total number of combinations,
A Tree Diagram is a the various possibilities in a pictorial way. The diagram begins with a single point, which represents the initial decision, then branches out to indicate all possible outcomes for each successive option.
The Fundamental Counting Principle tells us that if there are 'n' ways doing a thing and 'm' ways to do another, there are n x m ways to do both. Which means that the total number of outcomes equals the product of the number of ways each job can completd.
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Use the given value of sin theta to find the approximate value of cos theta in the quadrant indicated.
sin theta = -0.906, 3pi/2 < theta < 2π
The approximate value of cos theta in the quadrant indicated is 0.4232
Trigonometry expressionsGiven the expression below;
sin theta = -0.906
Determine the value of theta
sin theta = -0.906
theta = arcsin(-0.906)
theta = -64.95 degrees
In the 4th quadrant;
theta = 360 - 64.95
theta = 295.04 degrees
Determine the value of cosine theta
Cos theta = cos 295.04
cos theta = 0.4232
Hence the approximate value of cos theta in the quadrant indicated is 0.4232
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What is the inverse of the equation y=3x ?
Answer:
y = x/3
Step-by-step explanation:
y = 3x
x = 3y
3y = x
y = x/3
⊱_____________________________________________________⊱
Answer:
[tex]y=\dfrac{x}{3}}[/tex]Step-by-step explanation:
[tex]\large\displaystyle\begin{gathered} \rm{To \ find \ the \ inverse, \ switch \ the \ places \ of \ x \ and \ y} \\ \sf{ y=3x} \\ \sf{x=3y} \\ \rm{Now \ solve \ for y} \\ \sf{x/3=y} \\ \sf{\dfrac{x}{3}=y \end{gathered}[/tex]
done !!
⊰______________________________________________________⊱
CαllíɡɾαρhγA frozen yogurt store charges C dollars for w ounces of frozen yogurt, and C can be modeled by C = 49w+80/100. According to the model, for every increase of 1 ounce in frozen yogurt, by how many dollars will the cost increase?
A function assigns the values. For every increase of 1 ounce in frozen yogurt the cost will increase by $49.
What is a Function?A function assigns the value of each element of one set to the other specific element of another set.
Given the frozen yogurt store charges C dollars for w ounces of frozen yogurt, C can be modelled by C = 49w+80/100. Therefore, for every increase of 1 ounce in frozen yogurt the cost will increase by $49.
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the the area of a rectangle with perimeter 40 cm and 75 cm square find the length and width of the rectangle
Answer: 15cm and 5cm
Step-by-step explanation:
A rectangle's area is the product of the length and width
Given length x and width y, 2x+2y = 40 and x*y = 75.
Verifying my answer:
2(15)+2(5) = 40
30+10 = 40
40 = 40
15*5 = 75
75= 75
This is a week late so I hope this helped.
The length and the width of the rectangle are 15cm and 5cm respectively
How to find the length and width of the rectangle?The given parameters are:
Area (A) = 75
Perimeter (P) = 40
The area of a rectangle is LW, while the perimeter is 2(L + W)
So, we have:
LW = 75
2(L + W) = 40
Divide by 2
L + W = 20
Make L the subject
L = 20 - W
Substitute L = 20 - W in LW = 75
(20 - W)W = 75
Expand
20W - W^2 = 75
Rewrite as:
W^2 - 20W + 75 = 0
Expand
W^2 - 15W - 5W + 75 = 0
Factorize
(W - 15)(W -5) = 0
Split
W - 15 = 0 or W - 5 = 0
Solve for W
W = 15 or W = 5
Recall that:
L= 20 - W
So, we have
L = 20 - 15 or L = 20 - 5
This gives
L = 5 or L = 15
Hence, the length and the width of the rectangle are 15cm and 5cm respectively
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In a graphing program, graph the following 3 functions in the same coordinate plane.
y=1x
y=1x+3
y=1x – 2
How does k (+3 and -2 in functions b & c) change the rational graph? Select the best description from the words below. (Hint: one fits)
compresses-fatter
shifts right/left
reflects over x-axis
shifts up/down
stretches-steeper
reflects over y-axis
The values of k (i.e. +3 and -2) in functions b and c change the rational graph by (b) shifts right/left
How to determine the change in the rational graph?The functions are given as:
[tex]y = \sqrt x[/tex]
[tex]y = \sqrt {x + 3[/tex]
[tex]y = \sqrt {x - 2[/tex]
See attachment for the graphs of the three functions.
From the attached graph, we can see that [tex]y = \sqrt {x + 3[/tex] and [tex]y = \sqrt {x - 2[/tex] are at the left and right of the function [tex]y = \sqrt x[/tex]
Hence, the values of k in functions b and c change the rational graph by shifting it right/left
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U.S. Customary unit conversion with mixed number values: One... A cook needs 7 cups of vegetable stock for a soup recipe. How much is this in pints? Write your answer as a whole number or a mixed number in simplest form. Include the correct unit in your answer.
The pints of vegetable stock the chef needs is [tex]3\frac{1}{2}[/tex].
How many pints does he need?The first step is to determine the unit of conversion of cups to pints.
1 cup = 0.5 pints
To convert cup to pints, multiply 7 by 0.7
7 x 0.5 = 7/2 = [tex]3\frac{1}{2}[/tex]
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Recursive formula of the arithmetic sequence 4,9,14,19
Answer:
4,9,14,19,24,29,34,39