Light travels at a rate of about 9,460,528,400,000,000 m per year.
Choose the best approximation of how many meters light travels per year.
Choose 1 answer:
(A) 9x10^15
(B) 9x10^16
Answer:
A
Step-by-step explanation:
You just find out which number is closer to the speed of light
Answer:
9x10^15
Step-by-step explanation:
9,460,528,400,000,000
If you count the numbers up until 9 you get 15. So the easy hack is to just count the numbers up until the VERY first then whichever answer had that number is the right one.
Find area triangle of 15 ft and 18 ft
The area of the triangle is. Ft2
Answer:
a= 135
Step-by-step explanation:
18*15=135
Someone help me solve all this + include working out.
Will mark as brainliest. Thanks
Answer:
We know that P(x) = 30*x^3 + k*x^2 + 1
a) If (3x - 1) is a factor, let's find the value of k.
Because the degree of the original polynomial is 3, and the degree of the factor is 1, we should multiply it by a polynomial of degree 2.
Then:
30*x^3 + k*x^2 + 1 = (3*x - 1)*(a*x^2 + b*x + c)
30*x^3 + k*x^2 + 1 = 3*a*x^3 + 3*b*x^2 + 3*c*x - a*x^2 - b*x - c
30*x^3 + k*x^2 + 1 = 3*a*x^3 + (3*b - a)*x^2 + (3*c - b)*x - c
The terms with the same exponent should be equal, then:
30*x^3 = 3*a*x^3
30 = 3*a
30/3 = a = 10
k*x^2 = (3*b - a)*x^2
k = (3*b - 10)
0*x = (3*c - b)*x
0 = (3*c - b)
b = 3*c
and
1 = -c
then:
c = -1
Replacing this in the equation: b = 3*c
we get: b = -3
Replacing this in the equation for k, we get:
k = (3*b - 10) = (3*-3 - 10) = -19
k = -19
And we can write:
P(x) = (3*x - 1)*(10*x^2 - 3*x - 1)
b) Now we want to write P(x) as a product of its linear factors.
Then we need to factorize the quadratic part:
We need to solve
10*x^2 - 3*x - 1 = 0
We can use the Bhaskara's equation to get the solutions:
[tex]x = \frac{-(-3) \pm \sqrt{(-3)^2 - 4*10*(-1)} }{2*10} = \frac{3 \pm 7}{10}[/tex]
Then the two zeros of that polynomial are
x = (3 + 7)/10 = 1
x = (3 - 7)/10 = - 4/10 = -2/5
So we can write the polynomial as:
10*(x - 1)*(x - (-2/5))
Replacing this in the equation of P(x) we get:
P(x) = (3*x - 1)*10*(x -1)*(x + 2/5)
= 10* (3*x - 1)*(x -1)*(x + 2/5)
So P(x) is written as a product of lineal factors.
C) The zeros of the polynomial are the values of x such that one of the factors becomes equal to zero.
For the first factor, we have a zero at x = 1/3
for the second, we have a zero at x = 1
for the third one, we have a zero at x = -2/5
 What is the mathematical term for "the same"?
Answer:
Equivalent / Equal
Step-by-step explanation:
Sakura speaks 150 words per minute on average in Hungarian, and 190 words per minute on average in Polish. She once gave cooking instructions in Hungarian, followed by cleaning instructions in Polish. Sakura spent 5 minutes total giving both instructions, and spoke 270 more words in Polish than in Hungarian.
How long did Sakura speak in Hungarian, and how long did she speak in Polish?
Sakura spoke for _____ minutes in Hungarian and for _____ minutes in Polish.
HURRY this needs to be done fast!!!
Nakeisha bought a pair of shorts online for $74. She used a coupon code to get a 10% discount.
The website also applied a 5% processing fee to the price after the discount.
How much did Nakeisha pay, in the end? Round to the nearest cent.
Answer:
the answer is 69.93
hope this helps!
Which of the following numbers is a perfect square
484
485
489
490
Answer:
484
Step-by-step explanation:
484=22^2
What is the value of x? Show me how you got that answer.
Answer:
x = 3
Step-by-step explanation:
The angle measuring 5x and the angle measuring 165° are a linear pair, so they are supplementary. Their measures add to 180°.
5x + 165 = 180
5x = 15
x = 3
Your ship sinks and you swim to a nearby island. On this island, the inhabitants do not use money. The island residents use island fruit as money.
If 60 bananas = 20 coconuts
35 figs = 15 oranges
10 coconuts = 25 figs
200 figs = 1 boat
How many bananas would you need to purchase a boat to get off the island?
Answer:
240 bananas
Step-by-step explanation:
You would need 8 sets of figs. 10 coconuts is equal to 25 figs so you need 80 coconuts. You would need enough bananas to get 4 sets of coconuts. 60*4 = 240
Answer:
To buy the boat you would need 240 bananas.
Explanation:
3 bananas = 1 coconut
1 coconut = 2.5 figs
200 figs (price of boat) = 80 coconuts
80 coconuts (price of boat) = 240 bananas
what is the vertex of this parabola? I WILL GIVE BRAINLIEST!!!
(1, -2)
The vertex is simply the turning point.
The table represents a proportional relationship. Give the constant of proportionality, and write an equation that represents the relationship.
(NO FILES OR LINKS, I DO NOT EXCEPT THEM AND I WILL REPORT)
Answer:
The constant is: 3.14
Multiplying 2 by 3.14 which would get you to 6.28
Multiply each one by 3.14
help please!!!!!!!!!!!!!!
Answer:
x = 42,33°
Step-by-step explanation:
3x + 1° + 52° = 180° [angles on a straight line]
3x + 53° = 180°
3x = 180° - 53°
3x = 127°
divide both sides by 3
x = 42,33°
How do you find the diameter
Answer:
2x radius I believe
Tell me if im wrong and I will remove this
What is the greatest value in the range of f(s) = x2 – 3for the domain (-3,0, 1, 2)?
Answer:
6
Step-by-step explanation:
f(s) = x^2 - 3
f(-3) = 6
f(0) = -3
f(1) = -2
f(2) = 1
7th grade math help me pleaseee
Answer:
14x + 6
step by step explanation:
The radius of a cylindrical water tank is 6.5 ft, and its height is 12 ft. What is the volume of the tank?
Answer:
.............. just for filling 20 characters
i need help please! will mark brainliest
Answer:
g= - 3x/x-2
Step-by-step explanation:
A local school board wants to determine if the proportion of households in the district that would support starting the school year a week earlier has changed from the previous year. Last year, the school board determined that 65% of households supported starting school earlier. They ask a random sample of 100 households this year, and 70% state they would support starting the school year earlier. Which hypotheses would determine if the proportion of households that support starting school earlier has changed this year?
Group of answer choices
H 0: p not-equals 0.70, H alpha: p = 0.70
H 0: p = 0.70, H alpha: p not-equals 0.70
H 0: p = 0.65, H alpha: p greater-than 0.65
H 0: p = 0.65, H alpha: p not-equals 0.65
Answer:
C
Step-by-step explanation:
Considering the situation, the hypotheses set that would determine if the proportion of households that support starting school earlier has changed this year is given by:
[tex]H_0: p = 0.65, H_\alpha: p \neq 0.65[/tex]
What are the hypotheses tested?At the null hypotheses, it is tested if there has been no change, that is, the proportion is still of 0.65 = 65%, hence:
[tex]H_0: p = 0.65[/tex]
At the alternative hypotheses, it is tested if there has been a change, that is, the proportion is not of 0.65 = 65% anymore, hence:
[tex]H_\alpha: p \neq 0.65[/tex]
More can be learned about an hypotheses test at https://brainly.com/question/26454209
In rugged terrain, Martin can hike 1/8 Mile in 1/2 hour. At this rate, how far can Martin hike in 1 hour?
A. 5/8 mile
B. 1/16 mile
C. 1/4 mile
D. 1/6 mile
5x = -5 and it has to show work pls
Answer:
x=-1
Step-by-step explanation:
5x=-5
[tex]x=\frac{-5}{5}=-1[/tex]
Shifts in demand worksheet At every grocery store in the area, the price of hot dogs has been at an all-time high.
Answer:
The answer is "Hot dog buns".
Step-by-step explanation:
In the given scenario, it increased the hot dog prices result in a reduction in hot dog bun production. Complementary products are hot dogs including hot dog buns. Therefore the curve of demand is moving to the left. Please find the image file in attached.
Debera earns $350 a month. She saves $28 a month. Savings is what percent of her income?
We can find percent by dividing savings by total earned. 28/350=8%
8%
--------------------
Classify the triangle as acute, right, or obtuse.
48°
72°
60°
A acute
Bright
C obtuse
Find the volume of a pyramid with a square base, where the area of the base is 16 m^2
and the height of the pyramid is 25.4 m. Round your answer to the nearest tenth of a cubic meter.
Answer:
v = 135.5 cm³
Step-by-step explanation:
v = 1/3bh = 1/3(16)(25.4) = 135.5 cm³
Which number is equivalent to 4.7
PLEASE HELP
Answer:
(a+b)^2+(a-b)^2=2(a^2+b^2)
expanding:
a² + 2ab + b² + a² -2ab + b² = 2a² + 2b²
2a² + 2b² = 2a² + 2b²
Answer:
with what?
Step-by-step explanation:
Mrs. Williamson had 18 students in her homeroom at the beginning of the school year and 24 students at the end of the year. What was the approximate percent increase in the number of students in Mrs. Williamson’s homeroom?
25%
33%
57%
75%
Answer:
25%
Step-by-step explanation:
An easy way to figure this out is just by dividing the initial amount of students (18) by the current amount of students (24), and then subtracting 1.
So, 18/24 = 0.75 (aka 75%), and 1 - 0.75 = 0.25 (aka 25%)
who wants to play kah*ot
game code is 5794844
Answer:
yessss
Step-by-step explanation:
Answer: mabey
Step-by-step explanation: mabey
Henry rolls a standard six-sided die, numbered from 1 to 6. Which word or phrase describes the probability that he will roll a multiple of 2?
A certain bile
B unlikely
C an equal chance or 50-50 impossible
D impossible
Answer:
certain
Step-by-step explanation:
Jai rolls a standard six-sided die, numbered from 1 to 6. Which word or phrase describes the probability that he will roll a number between 1 and 6 (including 1 and 6)?
There are 6 possible outcomes for rolling a die numbered from 1 to 6: {1, 2, 3, 4, 5, 6}.
Within that set of outcomes, there are 6 possible ways of rolling a number between 1 and 6 (including 1 and 6): {1, 2, 3, 4, 5, 6}.
6 out of 6 is 1. When something will occur all the time, we say it is certain.