Step-by-step explanation:
=80°-15°=65°please mark this answer as brainlist
2. What are the last 2 digits of 1 + 2 + 3 + + 2005 2006
Let S be the sum. So you have
S = 1 + 2 + 3 + … + 2004 + 2005 + 2006
as well as
S = 2006 + 2005 + 2004 + … + 3 + 2 + 1
Then
2S = (1 + 2006) + (2 + 2005) + … + (2005 + 2) + (2006 + 1)
2S = 2007 + 2007 + … + 2007 + 2007
2S = 2006 × 2007
S = (2006 × 2007)/2
S = 2,013,021
which makes the last two digits 21.
Express 0.00506 in standard form
Answer:
[tex]5.06 x 10^{-3}[/tex]
Step-by-step explanation:
Move decimal 3 place to right.
Because the decimal was moved to right, the exponent is negative.
What is the length of BC? Round to the nearest tenth.
Answer:
BC ≈ 14.5 cm
Step-by-step explanation:
Using the sine ratio in the right triangle
sin65° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{BC}{AB}[/tex] = [tex]\frac{BC}{16}[/tex] ( multiply both sides by 16 )
16 × sin65° = BC , then
BC ≈ 14.5 cm ( to the nearest tenth )
can someone help me with this ? please and thank you
Answer:
(a), (c) and (d)
Step-by-step explanation:
Required
Which is linear
A linear function is represented as any of:
[tex]y = mx + b[/tex]
[tex]y - y_1= m(x - x_1)[/tex]
[tex](a)\ 8x - 3y = 2[/tex]
Rewrite as:
[tex]- 3y = -8x+2[/tex]
Divide by -3
[tex]y = \frac{8}{3}x - \frac{2}{3}[/tex] -- by comparison to [tex]y = mx + b[/tex], this is linear
[tex](b)\ y = |x - 4|-7[/tex]
This is an absolute function. It is not linear
[tex](c)\ y + 8=5(x - 4)[/tex]
By comparison to [tex]y - y_1= m(x - x_1)[/tex], this is linear
[tex](d)\ y = -7[/tex]
by comparison to [tex]y = mx + b[/tex], this is linear because [tex]m= 0[/tex]
Others are not linear
△ABCis reflected to form △A′B′C′. The vertices of △ABC are A(3, 1), B(1, 5), and C(6, 9). The vertices of △A′B′C′ are A′(−1, −3), B′(−5, −1), and C′(−9, −6). Which reflection results in the transformation of △ABC to △A′B′C′? Reflection across the x-axis reflection across the y-axis reflection across y = x reflection across y=−x I NEED HELP PLS The answer choies are: A. Reflection across the x-axis B. Reflection across the y-axis C. Reflection across y = x D. Reflection across y=−x
Answer: D) reflection across y = -x
Explanation:
When we reflect over y = x, we basically swap x and y. So for instance, the point (3,1) becomes (1,3).
When reflecting over y = -x, we will do the same thing but we'll make each coordinate swap in sign from positive to negative (or vice versa). The rule for reflecting over y = -x is [tex](x,y) \to (-y,-x)[/tex]
So if we apply that rule to point A(3,1) then it becomes A ' (-1, -3).
Similarly, B(1,5) moves to B ' (-5, -1)
Finally, C(6,9) becomes C ' (-9, -6)
I need help on this question 5=7+x/5
Answer:
-10 = x
Step-by-step explanation:
5=7+x/5
Subtract 7 from each side
5-7=7-7+x/5
-2 = x/5
Multiply each side by 5
-2 *5 = x/5 *5
-10 = x
limx²-9x+20
x->4 x-4?
Answer:
-1
Step-by-step explanation:
lim x tends to 4 (x^2-9x+20)/(x-4). (x^2-9x+20)(x-4)=x-5.
So the limit is 4-5=-1
A rectangle has an area of 72 swaure units. The width of the rectangle is 9 units. The length of the rectangle is 2x + 4. What is the rectangle's length?
Answer:
8 units
Step-by-step explanation:
Area of a rectangle = Width multiplied by Length
Substitute in all the known numbers into this formula to get
72 = (9) × [tex](2x+4)[/tex]
Solve the equation for x, to find out the length
[tex]9(2x+4)=72[/tex]
[tex]2x+4=72/9[/tex]
[tex]2x+4=8[/tex]
[tex]2x=8-4[/tex]
[tex]2x=4[/tex]
[tex]x=4/2[/tex]
[tex]x=2[/tex]
Length of the rectangle = [tex](2x+4)[/tex]
[tex]2(2)+4[/tex]
[tex]4+4=8[/tex]
Divisibility rules with algebra
Answer:
D=8
Step-by-step explanation:
normal division rules
33 goes into 47 1 time
then it leaves 17D
if we divide 170 by 33, we get 5 and if we divide 179 by 33, we still get 5. So we have 17D-165. That leaves us with something that you multiply 33 with to have a 2 in the ones place so that you get a remainder of 2. (In order to get 2 in the remainder, we need a 2 in the ones place because 4-2=2. In order to get that we need to see which number multiplied with 33 would get us a number smaller than 179 but also has a 2 in the ones place. Theres only one number and thats 4. 33*4=132. So in order to get only 2 in the remainder, we need the rest to be subtracted. This means that 17D-165=134. This way we can see that D=8
Can someone explain and give an example of spurious correlation?
Answer:
A spurious correlation wrongly implies a cause and effect between two variables. For example, the number of astronauts dying in spacecraft is directly correlated to seatbelt use in cars: Use your seatbelt and save an astronaut life!
Interesting correlations are easy to find, but many will turn out to be spurious. Three examples are the skirt length theory, the Super Bowl indicator, and a suggested correlation between race and college completion rates.
Step-by-step explanation:
Solve the inequality 12(1/2 x - 1/3) > 8 - 2x
O A. x>-1
O B. x > 3
O C. X>1/2
O D. x>3/2
Answer:
[tex]D. \\x>\frac{3}{2}[/tex]
Step-by-step explanation:
12(1/2x - 1/3) > 8 - 2x
6x - 4 > 8 - 2x
6x + 2x - 4 > 8 - 2x + 2x
8x - 4 > 8
8x - 4 + 4 > 8 + 4
8x > 12
8x ÷ 8 > 12 ÷ 8
x > 1.5
Find the missing side lengths
Answer:
x = 11√3
y = 11
Step-by-step explanation:
Let 60 be the reference angle
sin 60 = p/h
√3/2 = x/22
or, 22√3 = 2x
or, x = (22√3)/2
so, x = 11√3
now
[tex]h^2 = p^2 + b^2\\or, 22^2 = (11\sqrt{3} )^2+y^2\\or, 484 = 363 + y^2\\or, 484-363 = y^2\\or, 121 = y^2\\or, \sqrt{121} = y\\so, y = 11[/tex]
Can someone please just help me fill in those three boxes I’ve been struggling
If there were 36 candies and only 12 children, how many candies would each child get?
Answer:
3 each
Step-by-step explanation:
36 / 12 = 3
.................................................
Let f(x) = 3x − 2 and g(x) = x + 1. Find (g ∘ f)(2).
Help plsssssssssssssssss
Answer:
(g ∘ f)(2) =5
Step-by-step explanation:
f(x) = 3x − 2
g(x) = x + 1
(g ∘ f)(2).
Find f(2) = 3(2) -2 = 6-2 = 4
Then find g(4) = 4+1 = 5
A basketball team received a care package and split it evenly among
5 players. If each player received 9 candy bars, how many candy bars
were in the care package?
Help please
Answer:
45
Step-by-step explanation:
9x5
If the discriminant of an equation is zero, which of the following is true of the equation?
[tex]\sf Your \: question \: is \: incomplete. \: [/tex]
______________________
[tex]\sf \: I \: believe \: this \: is \: the \: answer \: you \: wanted[/tex] ⟹
[tex]\sf If \: the \: discriminant \: of \: an \: equation \: is \: zero, \: then \\ \sf \: the \: equation \: will \: have \:\underline{ 1 \: real \: solution \: with \: real \: and \: equal \: roots}.[/tex]
[tex]\boxed{ \sf{Explanation}} [/tex]
[tex]\sf If \: discriminant \: of \: quadratic \: equation \: ax^{2} + bx + c \: \\ \sf is \: b^{2} - 4ac = 0 \: then \: it \: will \: have \\ \sf↦\underline{1 \: real \: solution \: with \: real \: and \: equal \: roots.} [/tex]
Answer:
see explanation
Step-by-step explanation:
If b² - 4ac = 0
Then the roots are real and equal
In an A.P the term is -10 and the 15th term is 11 and the last term is 41. Find the sum of all terms in this progression.
This is equivalent to the fraction 1085/2
===============================================================
Explanation:
AP stands for "arithmetic progression", which is another name for "arithmetic sequence"
a1 = -10 is the first term
the 15th term happens when n = 15, so
an = a1 + d*(n-1)
a15 = -10 + d(15-1)
a15 = 14d-10
Set this equal to 11 (the stated 15th term) and solve for d
a15 = 11
14d-10 = 11
14d = 11+10
14d = 21
d = 21/14
d = 3/2
d = 1.5 is the common difference
Let's find the nth term
an = a1 + d(n-1)
an = -10 + 1.5(n-1)
an = -10 + 1.5n - 1.5
an = 1.5n - 11.5
-------------------------------
The last term is 41, so we'll replace the 'an' with that and solve for n
an = 1.5n - 11.5
41 = 1.5n - 11.5
41+11.5 = 1.5n
52.5 = 1.5n
1.5n = 52.5
n = (52.5)/(1.5)
n = 35
So the 35th term is 41.
-------------------------------
We're summing n = 35 terms from a1 = -10 to an = 41
S = sum of the first n terms of arithmetic progression
S = (n/2)*(a1 + an)
S = (35/2)*(-10+41)
S = 542.5
The 35 terms add up to 542.5 which is the final answer
As an improper fraction, this converts to 1085/2
Help Please!!!
Find volume of the sphere
Answer:
Step-by-step explanation:
Hey GurpTheDestoyer! Find the volume of the sphere. Round to the nearest whole number. Radius= 8 what is the volume? The Volume = 2,144.660585 cm3. Hope this helped! <3
The triangle below is isosceles. Find the length of side x in simplest radical form with
a rational denominator.
x
V10
21:32
Submit Answer
Answer: =
s
attempt 1 out of 2
CAN SOMEONE HELP ME PLS
Answer:
x=2*sqrt(5)
Step-by-step explanation:
Since the triangle is isosceles, the other side (not x) is sqrt(10). Using Pythagoras, we have 10+10=x^2, x=2*sqrt(5)
the graph of a linear function is given below
Answer:
The "zero" is where it crosses the x axis which is -2 in this graph
Step-by-step explanation:
Do you remember how to solve a multistep linear equation with variables on both sides? Review with a Quick Check.
Solve:
5(a−1)−15=3(a+2)+4
Answer:
Step-by-step explanation:
5(a-1) -15 = 3(a+2) +4, distribute multiplication over subtraction and addition
5a -5 -15 = 3a +6 + 4, isolate the variable on one side
5a -3a = 6 +4 +5 +15, combine like terms
2a = 30, divide both sides by 2
a= 15
PLEASE NEED HELP ASAP WILL MARK BRAINLIEST Question 2 of 10
Before radar and sonar, sailors would climb to the top of their ships to watch
for land or changes in weather. If the lookout at the top of the mast can see
an island five miles away, about how tall is the mast? Round your answer to
the nearest whole number if necessary. Use the formula for the relationship
between height (h) and visibility, how far you can see, (d):
O A. 30 feet
O B. 11 feet
O C. 36 feet
O D. 61 feet
Answer:
36
Step-by-step explanation:
Answer:
36 feet
Step-by-step explanation:
I can confirm that 36 feet is the correct answer. as seen below, I was able to get 100%
In a triangle ABC, angle BAC = 53° and angle ACB = 28°. If AB is produced to D, find angle CBD.
Angle CBD= 81°
I hope it helps you...
Answer:
81
Step-by-step explanation:
∠CBD is the exterior angle of the ΔABC.
Exterior angle property:
Exterior angle equals the sum of opposite interior angles.
∠CBD = ∠ABC + ∠ACB
= 53 + 28
= 81°
If today is Tuesday, May 6, this year July 4 will fall on a _____
(A) Sunday
(B) Monday
(C) Thursday
(D) Friday
Answer:
July 4th will fall on Sunday
The date, July 4 will be Friday, the correct option is D.
What are Calendars?Calendars represent an year of 12 months, each month has 30 or 31 days, exceptionally February has 28 days.
If today is Tuesday, May 6,
Every 7th day is going to be a Tuesday .
From May 6 to July 4, the number of days is 59
Hence we divide 59 by 7. Quotient = 8 Remainder = 3
7 x 8 = 56
56 th day is Tuesday
57 th day is Wednesday
58th day vis Thursday
59th day is Friday
To know more about Calendars
https://brainly.com/question/656246
#SPJ5
PLEASE HELP ME! I REALLY NEED HELP
Answer:
a)
(i) 5.8 hours
(ii) 6.5 hours
(iii) 6 hours
(iv) 6 hours
b) 180 hours
Can someone help me with this task please? !!
Answer:
we need to get your brain thinking in this way. that you begin to understand how to do these things.
airways to say that your brain is not working that way, is not a valid excuse. we need to change that. your brain needs to get used to this way of thinking.
so, please, please, PLEASE go through the explanations below and tell me, where exactly in these explanations you stopped understanding what I was saying. so that I can better explain to you what is happening.
1. (0, -2)
2. 4
3. a geometric sequence. the common ratio is -2.0
4. the third option
5. the fourth option
Step-by-step explanation:
1. as x increases, y decreases. until, suddenly after x=0, this tendency reverses, and with increasing x also y increases. so, this is a turning point.
2. look at the line. it only starts with x>0 (it looks like x is around 1).
"input" is all the values of x the function has a defined result for (y = result values).
so, as there is no line for negative x, we can eliminate the first 2 answers.
x=0 is no valid answer either (as mentioned above, the line only starts well after x=0).
in the answer options the only x value having an y value above or below this x value is x=4.
3. look at the difference between 2 numbers next to each other in the sequence.
2.4 to -4.8
-4.8 to 9.6
and so on.
what do we need to do to get from the left to the right ?
we need to multiply by -2.
so, the relationship between "sequence item n" (an) to "sequence item n-1" (an-1) is a ratio, a multiplication factor :
an/an-1 = -2
4. it is completely simple. a function can be many things. on an x/y coordinate grid it can have gaps, it can have sharp direction changes,...
but there us one thing a function can never have : multiple different y values for one x value.
in the first graph x=2 has two different y values (-1 and -3). so, it is not clear what the result for x=2 would be. and that means, it is not a function.
in the second graph x=4 has two different y values.
in the third graph all is OK.
in the fourth graph x=-2 has two different y values.
so, only the third option is a function.
5. this function calculates the height of the thrown rock after t seconds of flight.
therefore, only the fourth answer makes sense.
How do I simplify this? With steps please :)
Answer:
[tex]{ \tt{ = \frac{ {p}^{2} + 8p + 16 }{ {p}^{2} - 16 } }} \\ \\ = { \tt{ \frac{ {(x + 4)}^{2} }{(x - 4)(x + 4)} }} \\ \\ = { \tt{ \frac{(x + 4)}{(x - 4)} }}[/tex]
Two thousand numbers are selected randomly; 960 were even numbers. At the 0.10 level of significance, determine whether the proportion of odd numbers is significantly different from 50%.
Answer:
The p-value of the test is 0.0734 < 0.1, which means that there is significant evidence, at the 0.1 level of significance, to conclude that the proportion of odd numbers is significantly different from 50%.
Step-by-step explanation:
Test if the proportion of odd numbers is significantly different from 50%.
At the null hypothesis, we test if the proportion is of 0.5, that is:
[tex]H_0: p = 0.5[/tex]
At the alternative hypothesis, we test if the proportion differs from 0.5, that is:
[tex]H_1: p \neq 0.5[/tex]
The test statistic is:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.
0.5 is tested at the null hypothesis:
This means that [tex]\mu = 0.5, \sigma = \sqrt{0.5(1-0.5)} = 0.5[/tex]
Two thousand numbers are selected randomly; 960 were even numbers.
This means that [tex]n = 2000, X = \frac{960}{2000} = 0.48[/tex]
Value of the test statistic:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
[tex]z = \frac{0.48 - 0.5}{\frac{0.5}{\sqrt{2000}}}[/tex]
[tex]z = -1.79[/tex]
P-value of the test and decision:
The p-value of the test is the probability that the sample proportion differs from 0.5 by at least |0.48-0.5| = 0.02, which is P(|z|<1.79), which is 2 multiplied by the p-value of z = -1.79.
Looking at the z-table, z = -1.79 has a p-value of 0.0367
2*0.0367 = 0.0734
The p-value of the test is 0.0734 < 0.1, which means that there is significant evidence, at the 0.1 level of significance, to conclude that the proportion of odd numbers is significantly different from 50%.
I NEED JUSTIFICATION AND WORK ON PART A AND B
Part A: The sun produces 3.9 ⋅ 1033 ergs of radiant energy per second. How many ergs of radiant energy does the sun produce in 1.55 ⋅ 107 seconds? (5 points)
Part B: Which is the more reasonable measurement of the diameter of a human hair:
1.8 ⋅ 10−2 mm or 1.8 ⋅ 102 mm? Justify your answer. (5 points)
Answer:
6.045 * 10 ^40 ergs
1.8 * 10^-2 mm
Step-by-step explanation:
3.9 ⋅ 10^33 erg per second * 1.55 * 10 ^7 seconds
3.9 * 1.55 * 10^(33+7)
6.045 * 10 ^40 ergs
Human hair is around .1 mm thick
.1 = 1 * 10 ^ -1
This is closer to 1.8 * 10^-2
1.8 *10^2 = 180 mm which is too thick This is approximately 18 cm
Answer:
6.045 * 10 ^40 ergs
1.8 * 10^-2 mm
Step-by-step explanation:
3.9 ⋅ 10^33 erg per second * 1.55 * 10 ^7 seconds
3.9 * 1.55 * 10^(33+7)
6.045 * 10 ^40 ergs
Human hair is around .1 mm thick
.1 = 1 * 10 ^ -1
This is closer to 1.8 * 10^-2
1.8 *10^2 = 180 mm which is too thick This is approximately 18 cm
Step-by-step explanation:
