The average distance from the sun to the planet Venus is about 108,000,000 km. The diameter of a human hair is about 0.0025 mm.
(a) What is the distance from the sun to Venus written in scientific notation?
• [Please make sure to include your units]
(b) What is the diameter of a human hair written in scientific notation?
• [Please make sure to include your units]
(c) In comparing the measurements in Parts (a) and (b), what else must be done before a comparison is made?
Step-by-step explanation:
It is given that,
The average distance from the sun to the planet Venus is about 108,000,000 km. The diameter of a human hair is about 0.0025 mm.
(a) In scientifc notation, the distance from the Sun to Venus will be :
There are 8 numbers before 1. It means
d = 1.08 × 10⁸ km
(b) In scientific notation, the diameter of a human hair will be :
There are 3 numbers after decimal. It means
D = 2.5× 10⁻³ mm
(c) Before comparing two measurements, both values must be converted into the same units.
Since, 1 mm = 10⁻⁶ km
D = 2.5× 10⁻³ × 10⁻⁶ km
= 2.5 × 10⁻⁹ km
For comparison divide the distance from the Sun to Venus and the diameter of a human hair.
[tex]C=\dfrac{1.08\times 10^8\ km}{2.5\times 10^{-9}\ km}\\\\=4.32\times 10^{16}[/tex]
Hence, this is the required solution.
which is the best estimate for this expression ?
a) 300
b) 40
c) 3
d)0.4
Answer:
A
Step-by-step explanation:
3. A student wrote a book which she plans to sell online for $13 per copy. Her total expenses were $85. Which function can be used to find the profit in dollars, d, when the student sells C, copies of the book?
Answer:
Her profit in dollars is;
d = 13c - 85
Step-by-step explanation:
Mathematically,
profit = sales - cost price
She sells at $13 per copy
so for c copies, total sales amount will be 13 * c= $13c
So the profit d in dollars will be;
d = 13c - 85
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forty five children attend a preschool the number of two year olds is one half the number of three year olds the number of four year olds is the same as the number of three year olds
how many two year olds attend
how many three year olds attend
how many four year olds attend
Answer:
a=9
b=18
c=18
18+18+9=45 total children
Find the 15th term of the geometric sequence 2, 6, 18,...
Answer:
a₁₅ = 9 565 938Step-by-step explanation:
6÷2 = 3 and 18÷6 = 3 so: q = 3
[tex]a_n=a_1\cdot q^{n-1}\\\\a_1=2\\q=3\\n=15\\\\a_{15}=2\cdot3^{15-1}\\\\a_{15}=2\cdot3^{14}\\\\a_{15}=9\,565\,938[/tex]
Answer:
9 565 938
Step-by-step explanation:
A manufacturer claims that the mean lifetime of its lithium batteries is 1200 hours. A homeowner selects 25 of these batteries and finds the mean lifetime to be 1180 hours with a standard deviation of 80 hours. Test the manufacturer's claim. Use ΅ = 0.05. Round the test statistic to the nearest thousandth.
Answer:
Since p is > α we fail to reject the Null as the result is not significant at α = 0.05
Step-by-step explanation:
Given that:
Mean lifetime (m) = 1200
Sample size (n) = 25
Sample mean (x) = 1180
Standard deviation (s) = 80
α = 0.05
The null hypothesis :
H0 : m = 1200
Alternative hypothesis : m ≠1200
The t statistic :
(x - m) / (s/√n)
(1180 - 1200) / (80 / √25)
-20 / (80/5)
= - 1.250
P value = 0.10565 ( p value calculator)
Reject Null hypothesis if p > α
At α = 0.05
Since p is > α we fail to reject the Null as the result is not significant at α = 0.05
What is the absolute value of -250?
Answer:
250
Step-by-step explanation:
Pretty much every time it asks for the abasloute value it just asks how much to get the zero on the number line. It will ALWAYS be positive. For example -5 will be 5 to get to zero on the numberline. Same thing with a positive 5.
Write the inequality graphed below. Use "x" as your variable
Answer:
x is greater than or equal to 3. x > 3
Step-by-step explanation:
Pls who knows how to do this
Answer:
I think 31° is the answer
5x + 2y = 9
-6x - 2y = -14
Answer:
What are you suppose to be finding? I am confused finding the value of x??
Step-by-step explanation:
What is the length of the unknown side?
Answer:
20！
Step-by-step explanation:
if n represents a number, write an expression that represents a number that is 5 less than n.
n-5
less than implies subtraction after the variable
Ryan and Sarah collect baseball cards. Ryan has 150 baseball cards and collects 10 cards per week. Sarah has 200 baseball cards and collects 5 cards per week. After how many weeks will Ryan and Sarah have the same number of cards?
Answer:
i need help on this question too
Step-by-step explanation:
Answer:
I think X=10 but im not for sure.
Step-by-step explanation:
150 (X+10) = 200 (X+5)
150x+1500 200X+1000
-150X -150X
1500 50X+1000
-1000 -1000
500 50X
50 50
10=X
Find y if 3х + 4y = 1
Answer:
y=1/4-3/4y
Step-by-step explanation:
rearrange the equation
4y=1-3x
divide both sides by 4 to get the value of y
Answer:
y = 1/4
Step-by-step explanation
Find Y set x=0
3(0)+4y = 1
4y = 1
y = 1/4
what does x equal in x= x^2-12x+36
Answer:
x=4, x=9
Step-by-step explanation:
If x equals x^2-12x+36, x can equal 4 or 9. You may have to enter both answers.
The lifespans of zebras in a particular zoo are normally distributed. The average zebra lives
20.5 point, 5 years; the standard deviation is
3.9
3.93, point, 9 years.
Use the empirical rule
(
68
−
95
−
99.7
%
)
(68−95−99.7%)left parenthesis, 68, minus, 95, minus, 99, point, 7, percent, right parenthesis to estimate the probability of a zebra living less than
32.2
32.232, point, 2 years.
Answer:
3
Step-by-step explanation:
(-3,7), (3,3) write in standard form
Answer:
3x−y=2
Step-by-step explanation:
D=
R=
Function?
Find the domain and range of each relation.
Answer:
Try to do it with mth way
Solve the following compound inequality.
5x + 7 ≤ -3 OR 3x - 4 ≥ 11
A. -2 ≤ x ≤ 5
B. x ≤ -2 OR x ≥ 5
C. x ≤ -15 OR x ≥ 12
D. x ≥ 5
Thank you!
Answer:
B
Step-by-step explanation:
We have the compound inequality:
[tex]5x+7\leq-3 \text{ or } 3x-4\geq 11[/tex]
Since this is an “OR” inequality, we can solve each inequality individually. So:
1)
We have:
[tex]5x+7\leq-3[/tex]
Subtract 7 from both sides:
[tex]5x\leq -10[/tex]
Divide both sides by 5:
[tex]x\leq-2[/tex]
So, the first solution is above.
2)
We have:
[tex]3x-4\geq 11[/tex]
Add 4 to both sides:
[tex]3x\geq15[/tex]
Divide both side by 3:
[tex]x\geq5[/tex]
Our second solution is above.
Therefore, our solution is:
[tex]x\leq -2 \text{ or } x\geq5[/tex]
Since our original inequality is “OR,” our solution set remains an “OR.”
Hence, our answer is B.
Sum of Angles
Find the value of x and the measure of every angle.
It is Geometry
5)A plumber charges $25 for a service call plus $50 per hour of service. Write an equation in slope-intercept form for the cost, C, after h hours of service.
Answer: your Answer is $75 dollars.
Step-by-step explanation:
$25 + $50 = $75
Answer:
[tex]C = 50x + 25[/tex]
Step-by-step explanation:
The $50 charge can be interpreted as the slope, as it varies based on the amount of time the service takes. The $25 can be interpreted as the y-intercept, as you'll get charged $25 no matter how long the service takes. Thus, we can plug these values into the slope-intercept form equation.
[tex]y = mx + b\\C = 50x + 25[/tex]
PLEASE HELP
Write equations of the horizontal and vertical lines that pass through the given
point.
12. (-3,-4)
Horizontal line:
Vertical line:
Answer:
horizontal line: y=-4
vertical line: x=-3
Step-by-step explanation:
This one is simple. all you need to do is look at the x and y in the ordered pair.
Horizontal goes left and right so it's for y
Vertical goes up and down so it's for x
let me know if you need more explaining :)
Solve for x.
Answer Choices:
7
8
9
-11
Answer:
x = -11
Step-by-step explanation:
Well the two equations add up to 180 because they are a linear pair.
x + 56 + x + 146 = 180 (collect like terms)
2x + 202 = 180 (subtract 202 on both sides)
2x = -22 (divide by 2 on both sides)
x = -11
Hope this helps ya!!
How do you solve (3×-2)^3
Answer:
the answer should be -216
The coordinates of three vertices of a square are (1, –1), (6, –1), and (6, 4). Fill in each blank to make the statement true. What is the area of the square?
Answer:
25units²Step-by-step explanation:
Given the coordinates of three vertices of a square as A(1, –1), B(6, –1), and C(6, 4). The area of the square is expressed as;
A = L² where;
L is the one of the side length of the square.
Note that all the sides of a square are equal;
To get one of the side length, we will find the distance between any two of the coordinates points. Using the coordinates A(1, –1), B(6, –1)
L = AB = √(x2-x1)²+(y2-y1)²
L = √(6-1)²+(-1-(-1))²
L = √5²+0²
L = √25
L = 5
Area of the square = 5²
Area of the square = 25units²
Hence the area of the square is 25units²
A number times 7 is at least the number plus 6.6.
Write the inequality.
Answer:
7x ≥ x + 6
A number signifies x.
Replace "a number" with x and then write out the inequality.
What is the slope of the line passing through the points (-6, 33) and (-2, 15)?
Please answer quick
Answer:
The slope is -9/2
Step-by-step explanation:
m=y²-y¹/x²-x¹
m=15-33/(-2)-(-6)
m=-18/4
m=-9/2
Given the table, explain how to find the slope of the linear function
Answer:
Slope is 3
Step-by-step explanation:
y2 - y1/x2 - x1 = m
6 - 12/0 - 2 = m
-6/-2 = m
3 = m
Pls brainliest
10. At a certain company, the average starting salary s for a new worker is $25,000. The actual
salary has an absolute deviation of at most $1800. Write and solve an inequality to find the
range of the starting salaries.
Copyright © Big Ideas Learning, LLC
Integrated Mathematics 1
57
Answer:
Step-by-step explanation:
Let 'x' represent the actual salary.
|x - 25,000| <= 1800
- 1,800 <= x - 25,000 <= 1,800
25,000 - 1,800 <= x <= 25,000 + 1,800
23,200 <= x <= 26,800
The range of the salary is the closed interval [23,200, 26,800].
One of these graphs is of a cubic function which one is it ?
please helpp help I will be grounded if I don't get all of my answers. I will give brainleist
Answer:
D is the answer
Step-by-step explanation:
:)